["ADEInequality.Admissible.one_lt_sumInv", "ADEInequality.admissible_D'", "ADEInequality.admissible_E'4", "ADEInequality.admissible_E6", "ADEInequality.admissible_E7", "ADEInequality.admissible_E8", "ADEInequality.admissible_of_one_lt_sumInv", "ADEInequality.admissible_of_one_lt_sumInv_aux", "ADEInequality.admissible_of_one_lt_sumInv_aux'", "ADEInequality.lt_four", "ADEInequality.lt_six", "ADEInequality.lt_three", "ADEInequality.sumInv_pqr", "AEMeasurable.add_measure", "AEMeasurable.ae_eq_mk", "AEMeasurable.ae_inf_principal_eq_mk", "AEMeasurable.ae_mem_imp_eq_mk", "AEMeasurable.aestronglyMeasurable", "AEMeasurable.coe_ereal_ennreal", "AEMeasurable.coe_nnreal_ennreal", "AEMeasurable.coe_nnreal_real", "AEMeasurable.comp_aemeasurable", "AEMeasurable.comp_measurable", "AEMeasurable.congr", "AEMeasurable.const_div", "AEMeasurable.const_inf", "AEMeasurable.const_inner", "AEMeasurable.const_mul", "AEMeasurable.const_pow", "AEMeasurable.const_smul", "AEMeasurable.div", "AEMeasurable.div_const", "AEMeasurable.edist", "AEMeasurable.ennreal_ofReal", "AEMeasurable.ennreal_toNNReal", "AEMeasurable.ennreal_toReal", "AEMeasurable.ennreal_tsum", "AEMeasurable.exists_ae_eq_range_subset", "AEMeasurable.exists_measurable_nonneg", "AEMeasurable.fst", "AEMeasurable.indicator", "AEMeasurable.indicator\u2080", "AEMeasurable.inf", "AEMeasurable.inf'", "AEMeasurable.inf_const", "AEMeasurable.inner", "AEMeasurable.inner_const", "AEMeasurable.inv", "AEMeasurable.isLUB", "AEMeasurable.map_map_of_aemeasurable", "AEMeasurable.max", "AEMeasurable.measurable_mk", "AEMeasurable.mono'", "AEMeasurable.mono_ac", "AEMeasurable.mono_measure", "AEMeasurable.mono_set", "AEMeasurable.mul", "AEMeasurable.mul_const", "AEMeasurable.mul_iff_left", "AEMeasurable.mul_iff_right", "AEMeasurable.nnnorm", "AEMeasurable.nnreal_tsum", "AEMeasurable.norm", "AEMeasurable.nullMeasurableSet_preimage", "AEMeasurable.pow", "AEMeasurable.pow_const", "AEMeasurable.prod_mk", "AEMeasurable.re", "AEMeasurable.singularPart", "AEMeasurable.smul_measure", "AEMeasurable.subtype_mk", "AEMeasurable.sum_measure", "AEMeasurable.sup", "AEMeasurable.sup'", "AEMeasurable.sup_const", "AList.empty_lookupFinsupp", "AList.erase_erase", "AList.ext", "AList.ext_iff", "AList.extract_eq_lookup_erase", "AList.insertRec_empty", "AList.insertRec_insert", "AList.insertRec_insert_mk", "AList.insert_empty", "AList.insert_entries", "AList.insert_entries_of_neg", "AList.insert_insert", "AList.insert_insert_of_ne", "AList.insert_lookupFinsupp", "AList.insert_singleton_eq", "AList.keys_empty", "AList.keys_erase", "AList.keys_insert", "AList.keys_nodup", "AList.keys_replace", "AList.keys_singleton", "AList.keys_subset_keys_of_entries_subset_entries", "AList.lookupFinsupp_apply", "AList.lookupFinsupp_eq_iff_of_ne_zero", "AList.lookupFinsupp_eq_zero_iff", "AList.lookupFinsupp_support", "AList.lookup_eq_none", "AList.lookup_erase", "AList.lookup_erase_ne", "AList.lookup_insert", "AList.lookup_insert_eq_none", "AList.lookup_to_alist", "AList.lookup_union_eq_some", "AList.mem_erase", "AList.mem_insert", "AList.mem_keys", "AList.mem_lookup_iff", "AList.mem_lookup_union", "AList.mem_of_perm", "AList.mem_replace", "AList.mk_cons_eq_insert", "AList.not_mem_empty", "AList.perm_erase", "AList.perm_insert", "AList.perm_lookup", "AList.perm_replace", "AList.singleton_entries", "AList.singleton_lookupFinsupp", "AList.toAList_cons", "AList.toFinmap_eq", "AList.union_assoc", "AList.union_comm_of_disjoint", "AList.union_entries", "AList.union_erase", "Abelianization.commutator_subset_ker", "Abelianization.lift.of", "Abelianization.lift.unique", "Abelianization.map_id", "Abelianization.map_map_apply", "Abelianization.map_of", "Abelianization.mk_eq_of", "AbsConvexOpenSets.coe_balanced", "AbsConvexOpenSets.coe_convex", "AbsConvexOpenSets.coe_isOpen", "AbsConvexOpenSets.coe_nhds", "AbsoluteValue.IsAdmissible.exists_approx", "AbsoluteValue.IsAdmissible.exists_approx_aux", "AbsoluteValue.IsAdmissible.exists_partition", "AbsoluteValue.IsEuclidean.map_lt_map_iff", "AbsoluteValue.abs_abv_sub_le_abv_sub", "AbsoluteValue.abs_isEuclidean", "AbsoluteValue.coe_mk", "AbsoluteValue.coe_toMonoidWithZeroHom", "AbsoluteValue.eq_zero", "AbsoluteValue.exists_partition_int", "AbsoluteValue.hasBasis_uniformity", "AbsoluteValue.le_add", "AbsoluteValue.le_sub", "AbsoluteValue.map_mul", "AbsoluteValue.map_neg", "AbsoluteValue.map_one_of_isLeftRegular", "AbsoluteValue.map_prod", "AbsoluteValue.map_sub", "AbsoluteValue.map_units_int", "AbsoluteValue.map_units_intCast", "AbsoluteValue.map_units_int_smul", "AbsoluteValue.map_zero", "AbsoluteValue.ne_zero", "AbsoluteValue.ne_zero_iff", "AbsoluteValue.pos", "AbsoluteValue.pos_iff", "AbsoluteValue.sub_le", "AbsoluteValue.sub_le_add", "Absorbent.absorbs", "Absorbent.absorbs_finite", "Absorbent.mono", "Absorbent.vadd_absorbs", "Absorbent.zero_mem'", "Absorbs.add", "Absorbs.empty", "Absorbs.eventually", "Absorbs.eventually_nhds_zero", "Absorbs.exists_pos", "Absorbs.inter", "Absorbs.mono", "Absorbs.mono_left", "Absorbs.mono_right", "Absorbs.of_boundedSpace", "Absorbs.sub", "Absorbs.univ", "Absorbs.zero", "AbstractCompletion.continuous_coe", "AbstractCompletion.continuous_map", "AbstractCompletion.denseInducing", "AbstractCompletion.extend_coe", "AbstractCompletion.extend_comp_coe", "AbstractCompletion.extend_def", "AbstractCompletion.extend_map", "AbstractCompletion.extension\u2082_coe_coe", "AbstractCompletion.induction_on", "AbstractCompletion.inverse_compare", "AbstractCompletion.map_coe", "AbstractCompletion.map_unique", "AbstractCompletion.map\u2082_coe_coe", "AbstractCompletion.uniformContinuous_compare", "AbstractCompletion.uniformContinuous_compareEquiv", "AbstractCompletion.uniformContinuous_compareEquiv_symm", "AbstractCompletion.uniformContinuous_extend", "AbstractCompletion.uniformContinuous_extension\u2082", "AbstractCompletion.uniformContinuous_map\u2082", "Acc.TransGen", "Acc.cutExpand", "Acc.induction_bot", "Acc.induction_bot'", "Acc.list_chain'", "Acc.ndrecOn_eq_ndrecOnC", "Acc.ndrec_eq_ndrecC", "Acc.of_fibration", "Acc.prod_gameAdd", "Acc.rank_eq", "Acc.rank_lt_of_rel", "Acc.rec_eq_recC", "Acc.sym2_gameAdd", "AccPt.mono", "AccPt.nhds_inter", "Action.Iso.conj_\u03c1", "Action.associator_hom_hom", "Action.associator_inv_hom", "Action.comp_hom", "Action.functorCategoryMonoidalAdjunction.counit_app_app", "Action.functorCategoryMonoidalEquivalence.functor_map", "Action.functorCategoryMonoidalEquivalence.\u03bcIso_inv_app", "Action.functorCategoryMonoidalEquivalence.\u03bc_app", "Action.hom_ext", "Action.id_hom", "Action.leftDual_v", "Action.leftDual_\u03c1", "Action.leftUnitor_inv_hom", "Action.neg_hom", "Action.rightDual_\u03c1", "Action.rightUnitor_hom_hom", "Action.smul_hom", "Action.tensorUnit_rho", "Action.tensor_v", "Action.whiskerLeft_hom", "Action.zero_hom", "AddAction.automorphize_smul_left", "AddAction.orbitZMultiplesEquiv_symm_apply'", "AddAction.stabilizer_vadd_eq_stabilizer_map_conj", "AddAction.zmultiplesQuotientStabilizerEquiv_symm_apply", "AddAut.apply_inv_self", "AddAut.coe_mul", "AddAut.coe_one", "AddAut.conj_apply", "AddAut.conj_inv_apply", "AddAut.conj_symm_apply", "AddAut.inv_apply_self", "AddAut.mulRight_symm_apply", "AddAut.mul_apply", "AddAut.mul_def", "AddAut.smul_def", "AddChar.FiniteField.primitiveChar_to_Complex_isPrimitive", "AddChar.IsPrimitive.compMulHom_of_isPrimitive", "AddChar.IsPrimitive.of_ne_one", "AddChar.IsPrimitive.zmod_char_eq_one_iff", "AddChar.coe_compAddMonoidHom", "AddChar.coe_mk", "AddChar.coe_mul", "AddChar.coe_toAddMonoidHom", "AddChar.coe_toAddMonoidHomEquiv", "AddChar.coe_toAddMonoidHomEquiv_symm", "AddChar.coe_toMonoidHomEquiv", "AddChar.coe_toMonoidHomEquiv_symm", "AddChar.compAddMonoidHom_apply", "AddChar.compAddMonoidHom_injective_left", "AddChar.compAddMonoidHom_injective_right", "AddChar.exists_divisor_of_not_isPrimitive", "AddChar.ext", "AddChar.inv_apply'", "AddChar.inv_mulShift", "AddChar.isNontrivial_iff_ne_trivial", "AddChar.map_add_eq_mul", "AddChar.map_neg_eq_inv", "AddChar.map_sub_eq_div", "AddChar.map_zero_eq_one", "AddChar.map_zsmul_eq_zpow", "AddChar.mulShift_apply", "AddChar.mulShift_mul", "AddChar.mulShift_mulShift", "AddChar.mulShift_one", "AddChar.mulShift_spec'", "AddChar.mulShift_unit_eq_one_iff", "AddChar.mulShift_zero", "AddChar.mul_apply", "AddChar.ne_one_iff", "AddChar.not_isPrimitive_mulShift", "AddChar.one_apply", "AddChar.pow_mulShift", "AddChar.ringChar_ne", "AddChar.starComp_apply", "AddChar.starComp_eq_inv", "AddChar.sum_eq_card_of_eq_one", "AddChar.sum_eq_zero_of_ne_one", "AddChar.sum_mulShift", "AddChar.toAddMonoidHomEquiv_symm_apply", "AddChar.toAddMonoidHom_apply", "AddChar.toMonoidHomEquiv_apply", "AddChar.toMonoidHom_apply", "AddChar.to_mulShift_inj_of_isPrimitive", "AddChar.val_mem_rootsOfUnity", "AddChar.zmodChar_apply'", "AddChar.zmodChar_primitive_of_primitive_root", "AddChar.zmod_char_ne_one_iff", "AddChar.zmod_char_primitive_of_eq_one_only_at_zero", "AddCircle.addOrderOf_coe_rat", "AddCircle.addOrderOf_div_of_gcd_eq_one", "AddCircle.addOrderOf_div_of_gcd_eq_one'", "AddCircle.addOrderOf_eq_pos_iff", "AddCircle.addOrderOf_period_div", "AddCircle.addWellApproximable_ae_empty_or_univ", "AddCircle.add_projection_respects_measure", "AddCircle.ae_empty_or_univ_of_forall_vadd_ae_eq_self", "AddCircle.card_addOrderOf_eq_totient", "AddCircle.closedBall_ae_eq_ball", "AddCircle.closedBall_eq_univ_of_half_period_le", "AddCircle.coe_add_period", "AddCircle.coe_eq_coe_iff_of_mem_Ico", "AddCircle.coe_eq_zero_iff", "AddCircle.coe_eq_zero_iff_of_mem_Ico", "AddCircle.coe_eq_zero_of_pos_iff", "AddCircle.coe_image_Icc_eq", "AddCircle.coe_image_Ico_eq", "AddCircle.coe_image_Ioc_eq", "AddCircle.coe_neg", "AddCircle.coe_nsmul", "AddCircle.coe_real_preimage_closedBall_eq_iUnion", "AddCircle.coe_real_preimage_closedBall_inter_eq", "AddCircle.coe_real_preimage_closedBall_period_zero", "AddCircle.coe_zsmul", "AddCircle.continuousAt_equivIco", "AddCircle.continuousAt_equivIoc", "AddCircle.continuous_equivIco_symm", "AddCircle.continuous_mk'", "AddCircle.eq_coe_Ico", "AddCircle.equivAddCircle_apply_mk", "AddCircle.equivAddCircle_symm_apply_mk", "AddCircle.equivIccQuot_comp_mk_eq_toIcoMod", "AddCircle.equivIccQuot_comp_mk_eq_toIocMod", "AddCircle.ergodic_nsmul", "AddCircle.ergodic_zsmul", "AddCircle.ergodic_zsmul_add", "AddCircle.exists_gcd_eq_one_of_isOfFinAddOrder", "AddCircle.exists_norm_eq_of_isOfFinAddOrder", "AddCircle.exists_norm_nsmul_le", "AddCircle.finite_setOf_add_order_eq", "AddCircle.gcd_mul_addOrderOf_div_eq", "AddCircle.homeomorphAddCircle_apply_mk", "AddCircle.homeomorphCircle'_apply_mk", "AddCircle.homeomorphCircle_apply", "AddCircle.injective_toCircle", "AddCircle.integral_preimage", "AddCircle.isAddFundamentalDomain_of_ae_ball", "AddCircle.isLocalHomeomorph_coe", "AddCircle.le_add_order_smul_norm_of_isOfFinAddOrder", "AddCircle.liftIco_coe_apply", "AddCircle.liftIco_continuous", "AddCircle.liftIco_eq_lift_Icc", "AddCircle.liftIco_zero_coe_apply", "AddCircle.liftIco_zero_continuous", "AddCircle.liftIoc_coe_apply", "AddCircle.lintegral_preimage", "AddCircle.measurable_mk'", "AddCircle.measurePreserving_mk", "AddCircle.measure_univ", "AddCircle.norm_coe_eq_abs_iff", "AddCircle.norm_coe_mul", "AddCircle.norm_div_natCast", "AddCircle.norm_eq", "AddCircle.norm_eq'", "AddCircle.norm_eq_of_zero", "AddCircle.norm_half_period_eq", "AddCircle.norm_le_half_period", "AddCircle.norm_neg_period", "AddCircle.scaled_exp_map_periodic", "AddCircle.toCircle_add", "AddCircle.toCircle_apply_mk", "AddCircle.volume_closedBall", "AddCircle.volume_of_add_preimage_eq", "AddCommGroup.DirectLimit.congr_apply_of", "AddCommGroup.DirectLimit.congr_symm_apply_of", "AddCommGroup.DirectLimit.directedSystem", "AddCommGroup.DirectLimit.lift_injective", "AddCommGroup.DirectLimit.lift_of", "AddCommGroup.DirectLimit.lift_unique", "AddCommGroup.DirectLimit.map_comp", "AddCommGroup.DirectLimit.map_id", "AddCommGroup.DirectLimit.of.zero_exact", "AddCommGroup.DirectLimit.of_f", "AddCommGroup.ModEq.add_iff_left", "AddCommGroup.ModEq.add_iff_right", "AddCommGroup.ModEq.add_left", "AddCommGroup.ModEq.add_right", "AddCommGroup.ModEq.add_right_cancel'", "AddCommGroup.ModEq.add_zsmul", "AddCommGroup.ModEq.nsmul", "AddCommGroup.ModEq.of_nsmul", "AddCommGroup.ModEq.sub_iff_left", "AddCommGroup.ModEq.sub_iff_right", "AddCommGroup.ModEq.sub_left", "AddCommGroup.ModEq.zsmul", "AddCommGroup.ModEq.zsmul_add", "AddCommGroup.add_modEq_left", "AddCommGroup.add_modEq_right", "AddCommGroup.add_nsmul_modEq", "AddCommGroup.add_zsmul_modEq", "AddCommGroup.div_modEq_div", "AddCommGroup.equiv_directSum_zmod_of_finite", "AddCommGroup.equiv_directSum_zmod_of_finite'", "AddCommGroup.equiv_free_prod_directSum_zmod", "AddCommGroup.finite_of_fg_torsion", "AddCommGroup.intCast_modEq_intCast", "AddCommGroup.intCast_modEq_intCast'", "AddCommGroup.modEq_comm", "AddCommGroup.modEq_iff_eq_add_zsmul", "AddCommGroup.modEq_iff_eq_mod_zmultiples", "AddCommGroup.modEq_iff_int_modEq", "AddCommGroup.modEq_iff_not_forall_mem_Ioo_mod", "AddCommGroup.modEq_iff_toIcoDiv_eq_toIocDiv_add_one", "AddCommGroup.modEq_iff_toIcoMod_add_period_eq_toIocMod", "AddCommGroup.modEq_iff_toIcoMod_eq_left", "AddCommGroup.modEq_iff_toIcoMod_ne_toIocMod", "AddCommGroup.modEq_iff_toIocMod_eq_right", "AddCommGroup.modEq_neg", "AddCommGroup.modEq_sub_iff_add_modEq", "AddCommGroup.modEq_sub_iff_add_modEq'", "AddCommGroup.modEq_zero", "AddCommGroup.natCast_modEq_natCast", "AddCommGroup.neg_modEq_neg", "AddCommGroup.not_modEq_iff_ne_add_zsmul", "AddCommGroup.not_modEq_iff_toIcoDiv_eq_toIocDiv", "AddCommGroup.not_modEq_iff_toIcoMod_eq_toIocMod", "AddCommGroup.nsmul_add_modEq", "AddCommGroup.nsmul_modEq_nsmul", "AddCommGroup.self_modEq_zero", "AddCommGroup.smul_top_eq_top_of_divisibleBy_int", "AddCommGroup.sub_modEq_iff_modEq_add'", "AddCommGroup.sub_modEq_zero", "AddCommGroup.tfae_modEq", "AddCommGroup.zsmul_add_modEq", "AddCommGroup.zsmul_modEq_zero", "AddCommGroup.zsmul_modEq_zsmul", "AddCommGroupWithOne.ext", "AddCommGrp.Colimits.cocone_naturality", "AddCommGrp.Colimits.cocone_naturality_components", "AddCommGrp.Colimits.quot_add", "AddCommGrp.Colimits.quot_neg", "AddCommGrp.Colimits.quot_zero", "AddCommGrp.asHom_apply", "AddCommGrp.asHom_injective", "AddCommGrp.binaryProductLimitCone_cone_\u03c0_app_right", "AddCommGrp.biprodIsoProd_inv_comp_fst", "AddCommGrp.biproductIsoPi_inv_comp_\u03c0", "AddCommGrp.exact_iff", "AddCommGrp.free_map_coe", "AddCommGrp.free_obj_coe", "AddCommGrp.hasColimitsOfShape", "AddCommGrp.hasColimitsOfSize", "AddCommGrp.hom_add_apply", "AddCommGrp.image.fac", "AddCommGrp.image.lift_fac", "AddCommGrp.injective_as_module_iff", "AddCommGrp.injective_of_mono", "AddCommGrp.int_hom_ext", "AddCommGrp.kernelIsoKer_hom_comp_subtype", "AddCommGrp.kernelIsoKer_inv_comp_\u03b9", "AddCommMonoidWithOne.ext", "AddCommMonoidWithOne.toAddMonoidWithOne_injective", "AddConstMap.coe_mk", "AddConstMap.coe_mul", "AddConstMap.coe_one", "AddConstMap.coe_vadd", "AddConstMap.mul_def", "AddConstMapClass.map_add_int'", "AddConstMapClass.map_add_nat'", "AddConstMapClass.map_add_ofNat", "AddConstMapClass.map_add_ofNat'", "AddConstMapClass.map_add_zsmul", "AddConstMapClass.map_const", "AddConstMapClass.map_const_add", "AddConstMapClass.map_fract", "AddConstMapClass.map_int_add", "AddConstMapClass.map_nat'", "AddConstMapClass.map_nat_add", "AddConstMapClass.map_nat_add'", "AddConstMapClass.map_nsmul_const", "AddConstMapClass.map_ofNat'", "AddConstMapClass.map_ofNat_add", "AddConstMapClass.map_one", "AddConstMapClass.map_one_add", "AddConstMapClass.map_sub_const", "AddConstMapClass.map_sub_int", "AddConstMapClass.map_sub_int'", "AddConstMapClass.map_sub_nat'", "AddConstMapClass.map_sub_nsmul", "AddConstMapClass.map_sub_ofNat'", "AddConstMapClass.map_sub_zsmul", "AddConstMapClass.map_zsmul_add", "AddConstMapClass.rel_map_of_Icc", "AddConstMapClass.semiconj", "AddConstMapClass.strictAnti_iff_Icc", "AddConstMapClass.strictMono_iff_Icc", "AddEquiv.coe_toIntLinearEquiv", "AddEquiv.coe_toLinearEquiv", "AddEquiv.coe_toNatLinearEquiv", "AddEquiv.finsuppUnique_symm", "AddEquiv.isRegular_congr", "AddEquiv.isWeaklyRegular_congr", "AddEquiv.mapMatrix_refl", "AddEquiv.mapMatrix_trans", "AddEquiv.toIntLinearEquiv_symm", "AddEquiv.toNatLinearEquiv_refl", "AddEquiv.toNatLinearEquiv_toAddEquiv", "AddEquiv.toNatLinearEquiv_trans", "AddGroup.fg_def", "AddGroup.fg_iff_mul_fg", "AddGroupFilterBasis.cauchy_iff", "AddGroupFilterBasis.uniformAddGroup", "AddGroupSeminorm.apply_one", "AddGroupSeminorm.coe_smul", "AddGroupSeminorm.smul_sup", "AddGroupWithOne.ext", "AddGrp.epi_iff_surjective", "AddHom.le_map_tsub", "AddHom.map_smul_top_toAddSubgroup_of_surjective", "AddLECancellable.add_tsub_assoc_of_le", "AddLECancellable.add_tsub_cancel_left", "AddLECancellable.add_tsub_cancel_right", "AddLECancellable.add_tsub_tsub_cancel", "AddLECancellable.eq_tsub_iff_add_eq_of_le", "AddLECancellable.eq_tsub_of_add_eq", "AddLECancellable.le_add_tsub", "AddLECancellable.le_add_tsub_swap", "AddLECancellable.le_tsub_iff_le_tsub", "AddLECancellable.le_tsub_iff_left", "AddLECancellable.le_tsub_iff_right", "AddLECancellable.le_tsub_of_add_le_left", "AddLECancellable.le_tsub_of_add_le_right", "AddLECancellable.lt_add_of_tsub_lt_left", "AddLECancellable.lt_add_of_tsub_lt_right", "AddLECancellable.lt_of_tsub_lt_tsub_left_of_le", "AddLECancellable.lt_tsub_iff_left", "AddLECancellable.lt_tsub_iff_right_of_le", "AddLECancellable.lt_tsub_of_add_lt_left", "AddLECancellable.lt_tsub_of_add_lt_right", "AddLECancellable.mul_tsub", "AddLECancellable.tsub_add_tsub_comm", "AddLECancellable.tsub_eq_iff_eq_add_of_le", "AddLECancellable.tsub_eq_of_eq_add_rev", "AddLECancellable.tsub_inj_right", "AddLECancellable.tsub_le_tsub_iff_left", "AddLECancellable.tsub_lt_iff_left", "AddLECancellable.tsub_lt_iff_right", "AddLECancellable.tsub_lt_iff_tsub_lt", "AddLECancellable.tsub_lt_self", "AddLECancellable.tsub_lt_self_iff", "AddLECancellable.tsub_lt_tsub_left_of_le", "AddLECancellable.tsub_mul", "AddLECancellable.tsub_right_inj", "AddLECancellable.tsub_tsub_assoc", "AddLECancellable.tsub_tsub_cancel_of_le", "AddMonoid.End.coe_mul", "AddMonoid.End.coe_one", "AddMonoid.End.coe_pow", "AddMonoid.End.intCast_apply", "AddMonoid.End.intCast_def", "AddMonoid.End.mulRight_eq_mulLeft", "AddMonoid.End.natCast_apply", "AddMonoid.End.natCast_def", "AddMonoid.End.ofNat_apply", "AddMonoid.End.one_apply", "AddMonoid.End.smul_apply", "AddMonoid.End.smul_def", "AddMonoid.IsTorsion.module_of_finite", "AddMonoid.IsTorsion.module_of_torsion", "AddMonoid.exponent_additive", "AddMonoid.fg_iff_mul_fg", "AddMonoid.isTorsion_iff_isTorsion_int", "AddMonoid.isTorsion_iff_isTorsion_nat", "AddMonoidAlgebra.GradesBy.decompose_single", "AddMonoidAlgebra.algHom_ext", "AddMonoidAlgebra.algHom_ext'", "AddMonoidAlgebra.algHom_ext_iff", "AddMonoidAlgebra.apply_add_of_supDegree_le", "AddMonoidAlgebra.apply_eq_zero_of_not_le_supDegree", "AddMonoidAlgebra.coe_algebraMap", "AddMonoidAlgebra.decomposeAux_coe", "AddMonoidAlgebra.decomposeAux_eq_decompose", "AddMonoidAlgebra.decomposeAux_single", "AddMonoidAlgebra.divOf_add", "AddMonoidAlgebra.divOf_add_modOf", "AddMonoidAlgebra.divOf_apply", "AddMonoidAlgebra.divOf_zero", "AddMonoidAlgebra.domCongr_single", "AddMonoidAlgebra.domCongr_symm", "AddMonoidAlgebra.domCongr_toAlgHom", "AddMonoidAlgebra.exists_finset_adjoin_eq_top", "AddMonoidAlgebra.fg_of_finiteType", "AddMonoidAlgebra.finiteType_iff_fg", "AddMonoidAlgebra.finiteType_iff_group_fg", "AddMonoidAlgebra.freeAlgebra_lift_of_surjective_of_closure", "AddMonoidAlgebra.grade.decompose_single", "AddMonoidAlgebra.grade.isInternal", "AddMonoidAlgebra.gradeBy.isInternal", "AddMonoidAlgebra.induction_on", "AddMonoidAlgebra.infDegree_withTop_some_comp", "AddMonoidAlgebra.le_infDegree_mul", "AddMonoidAlgebra.le_inf_support_finset_prod", "AddMonoidAlgebra.le_inf_support_list_prod", "AddMonoidAlgebra.le_inf_support_mul", "AddMonoidAlgebra.le_inf_support_pow", "AddMonoidAlgebra.liftNC_mul", "AddMonoidAlgebra.liftNC_smul", "AddMonoidAlgebra.lift_apply", "AddMonoidAlgebra.lift_apply'", "AddMonoidAlgebra.lift_of", "AddMonoidAlgebra.lift_of'", "AddMonoidAlgebra.lift_symm_apply", "AddMonoidAlgebra.lift_unique", "AddMonoidAlgebra.lift_unique'", "AddMonoidAlgebra.mapDomainAlgHom_comp", "AddMonoidAlgebra.mapDomainAlgHom_id", "AddMonoidAlgebra.mapDomain_algebraMap", "AddMonoidAlgebra.mapDomain_mul", "AddMonoidAlgebra.mapDomain_one", "AddMonoidAlgebra.mapDomain_single", "AddMonoidAlgebra.mapDomain_sum", "AddMonoidAlgebra.mem_adjoin_support", "AddMonoidAlgebra.mem_closure_of_mem_span_closure", "AddMonoidAlgebra.mem_gradeBy_iff", "AddMonoidAlgebra.mem_grade_iff", "AddMonoidAlgebra.mem_grade_iff'", "AddMonoidAlgebra.mem_span_support", "AddMonoidAlgebra.mem_span_support'", "AddMonoidAlgebra.modOf_add_divOf", "AddMonoidAlgebra.modOf_apply_of_exists_add", "AddMonoidAlgebra.modOf_apply_of_not_exists_add", "AddMonoidAlgebra.mul_apply", "AddMonoidAlgebra.mul_of'_divOf", "AddMonoidAlgebra.mul_of'_modOf", "AddMonoidAlgebra.mul_single_apply_of_not_exists_add", "AddMonoidAlgebra.mul_single_zero_apply", "AddMonoidAlgebra.mvPolynomial_aeval_of_surjective_of_closure", "AddMonoidAlgebra.natCast_def", "AddMonoidAlgebra.ne_zero_of_not_supDegree_le", "AddMonoidAlgebra.ne_zero_of_supDegree_ne_bot", "AddMonoidAlgebra.nonUnitalAlgHom_ext", "AddMonoidAlgebra.nonUnitalAlgHom_ext'", "AddMonoidAlgebra.of'_apply", "AddMonoidAlgebra.of'_divOf", "AddMonoidAlgebra.of'_dvd_iff_modOf_eq_zero", "AddMonoidAlgebra.of'_eq_of", "AddMonoidAlgebra.of'_mem_span", "AddMonoidAlgebra.of'_modOf", "AddMonoidAlgebra.of'_mul_divOf", "AddMonoidAlgebra.of'_mul_modOf", "AddMonoidAlgebra.of_apply", "AddMonoidAlgebra.of_injective", "AddMonoidAlgebra.one_def", "AddMonoidAlgebra.opRingEquiv_single", "AddMonoidAlgebra.prod_single", "AddMonoidAlgebra.ringHom_ext'", "AddMonoidAlgebra.single_apply", "AddMonoidAlgebra.single_eq_zero", "AddMonoidAlgebra.single_mem_grade", "AddMonoidAlgebra.single_mul_apply", "AddMonoidAlgebra.single_mul_apply_aux", "AddMonoidAlgebra.single_mul_apply_of_not_exists_add", "AddMonoidAlgebra.single_mul_single", "AddMonoidAlgebra.single_pow", "AddMonoidAlgebra.single_zero_mul_apply", "AddMonoidAlgebra.sum_single", "AddMonoidAlgebra.sum_single_index", "AddMonoidAlgebra.supDegree_mul_le", "AddMonoidAlgebra.supDegree_neg", "AddMonoidAlgebra.supDegree_prod_le", "AddMonoidAlgebra.supDegree_single", "AddMonoidAlgebra.supDegree_single_ne_zero", "AddMonoidAlgebra.supDegree_sub_le", "AddMonoidAlgebra.supDegree_sum_le", "AddMonoidAlgebra.supDegree_withBot_some_comp", "AddMonoidAlgebra.sup_support_add_le", "AddMonoidAlgebra.sup_support_finset_prod_le", "AddMonoidAlgebra.sup_support_list_prod_le", "AddMonoidAlgebra.sup_support_mul_le", "AddMonoidAlgebra.sup_support_multiset_prod_le", "AddMonoidAlgebra.sup_support_pow_le", "AddMonoidAlgebra.support_divOf", "AddMonoidAlgebra.support_gen_of_gen", "AddMonoidAlgebra.support_gen_of_gen'", "AddMonoidAlgebra.support_mul", "AddMonoidAlgebra.support_mul_single", "AddMonoidAlgebra.support_one", "AddMonoidAlgebra.support_one_subset", "AddMonoidAlgebra.support_single_mul", "AddMonoidAlgebra.toDirectSum_add", "AddMonoidAlgebra.toDirectSum_mul", "AddMonoidAlgebra.toDirectSum_zero", "AddMonoidAlgebra.zero_divOf", "AddMonoidHom.apply_int", "AddMonoidHom.apply_nat", "AddMonoidHom.coe_addMonoidHom_mkRingHomOfMulSelfOfTwoNeZero", "AddMonoidHom.coe_fn_mkRingHomOfMulSelfOfTwoNeZero", "AddMonoidHom.coe_mul", "AddMonoidHom.coe_ofMapMidpoint", "AddMonoidHom.coe_smul", "AddMonoidHom.coe_toIntLinearMap", "AddMonoidHom.coe_toIntLinearMap_range", "AddMonoidHom.coe_toMultiplicative'", "AddMonoidHom.coe_toMultiplicative''", "AddMonoidHom.coe_toMultiplicative_map", "AddMonoidHom.coe_toRatLinearMap", "AddMonoidHom.coe_toRealLinearMap", "AddMonoidHom.coe_toZModLinearMap", "AddMonoidHom.completion_add", "AddMonoidHom.completion_coe", "AddMonoidHom.completion_zero", "AddMonoidHom.continuous_completion", "AddMonoidHom.continuous_extension", "AddMonoidHom.eq_intCastAddHom", "AddMonoidHom.ext_nat", "AddMonoidHom.mapMatrix_comp", "AddMonoidHom.mapMatrix_id", "AddMonoidHom.map_dfinsupp_sumAddHom", "AddMonoidHom.mulLeft_eq_mulRight_iff_forall_commute", "AddMonoidHom.mulRight_eq_mulLeft_iff_forall_commute", "AddMonoidHom.mul_apply", "AddMonoidHom.smul_apply", "AddMonoidHom.toIntLinearMap_injective", "AddMonoidHom.toNatLinearMap_injective", "AddMonoidHom.toZModLinearMap_injective", "AddMonoidWithOne.ext", "AddOpposite.opMulEquiv_toEquiv", "AddOpposite.op_eq_one_iff", "AddOpposite.op_inv", "AddOpposite.op_mul", "AddOpposite.unop_inv", "AddOpposite.unop_mul", "AddOpposite.unop_one", "AddOpposite.unop_pow", "AddSubgroup.coe_pointwise_smul", "AddSubgroup.coe_toIntSubmodule", "AddSubgroup.coe_toZModSubmodule", "AddSubgroup.cyclic_of_isolated_zero", "AddSubgroup.cyclic_of_min", "AddSubgroup.dense_of_no_min", "AddSubgroup.dense_of_not_isolated_zero", "AddSubgroup.dense_or_cyclic", "AddSubgroup.exists_isLeast_pos", "AddSubgroup.fg_iff_mul_fg", "AddSubgroup.intCast_mem_zmultiples_one", "AddSubgroup.intCast_mul_mem_zmultiples", "AddSubgroup.ker_normedMk", "AddSubgroup.le_pointwise_smul_iff", "AddSubgroup.mem_inv_pointwise_smul_iff", "AddSubgroup.mem_inv_pointwise_smul_iff\u2080", "AddSubgroup.mem_smul_pointwise_iff_exists", "AddSubgroup.norm_normedMk", "AddSubgroup.norm_normedMk_le", "AddSubgroup.norm_trivial_quotient_mk", "AddSubgroup.normedMk.apply", "AddSubgroup.nsmul_mem_zmultiples_iff_exists_sub_div", "AddSubgroup.pointwise_smul_def", "AddSubgroup.pointwise_smul_le_iff\u2080", "AddSubgroup.pointwise_smul_le_pointwise_smul_iff", "AddSubgroup.pointwise_smul_le_pointwise_smul_iff\u2080", "AddSubgroup.pointwise_smul_toAddSubmonoid", "AddSubgroup.quotient_norm_eq", "AddSubgroup.range_zmultiplesHom", "AddSubgroup.smul_mem_pointwise_smul", "AddSubgroup.smul_mem_pointwise_smul_iff", "AddSubgroup.surjective_normedMk", "AddSubgroup.tendsto_zmultiples_subtype_cofinite", "AddSubgroup.toSubgroup_comap", "AddSubgroup.toZModSubmodule_toAddSubgroup", "AddSubgroup.zsmul_mem_zmultiples_iff_exists_sub_div", "AddSubgroupClass.zsmulMemClass", "AddSubmonoid.LocalizationMap.AwayMap.lift_eq", "AddSubmonoid.bot_mul", "AddSubmonoid.bsupr_eq_mrange_dfinsupp_sumAddHom", "AddSubmonoid.centralizer_toAddSubsemigroup", "AddSubmonoid.closure_mul_closure", "AddSubmonoid.closure_pow", "AddSubmonoid.closure_singleton_zero", "AddSubmonoid.coe_toNatSubmodule", "AddSubmonoid.fg_iff_mul_fg", "AddSubmonoid.iSup_eq_mrange_dfinsupp_sumAddHom", "AddSubmonoid.le_pointwise_smul_iff", "AddSubmonoid.le_pointwise_smul_iff\u2080", "AddSubmonoid.mem_closure_singleton", "AddSubmonoid.mem_inv_pointwise_smul_iff", "AddSubmonoid.mem_inv_pointwise_smul_iff\u2080", "AddSubmonoid.mem_pointwise_smul_iff_inv_smul_mem", "AddSubmonoid.mem_pointwise_smul_iff_inv_smul_mem\u2080", "AddSubmonoid.mem_smul_pointwise_iff_exists", "AddSubmonoid.mul_bot", "AddSubmonoid.mul_induction_on", "AddSubmonoid.mul_le", "AddSubmonoid.mul_le_mul_left", "AddSubmonoid.mul_le_mul_right", "AddSubmonoid.mul_mem_mul", "AddSubmonoid.natCast_mem_one", "AddSubmonoid.one_eq_closure_one_set", "AddSubmonoid.one_eq_mrange", "AddSubmonoid.pointwise_isCentralScalar", "AddSubmonoid.pointwise_smul_le_iff\u2080", "AddSubmonoid.pointwise_smul_le_pointwise_smul_iff", "AddSubmonoid.pointwise_smul_le_pointwise_smul_iff\u2080", "AddSubmonoid.pow_eq_closure_pow_set", "AddSubmonoid.pow_subset_pow", "AddSubmonoid.smul_bot", "AddSubmonoid.smul_closure", "AddSubmonoid.smul_mem_pointwise_smul", "AddSubmonoid.smul_mem_pointwise_smul_iff", "AddSubmonoid.smul_sup", "AddSubmonoid.toNatSubmodule_symm", "AddSubmonoid.toNatSubmodule_toAddSubmonoid", "AddSubmonoid.toSubmonoid_closure", "AddSubmonoidClass.nsmulMemClass", "AddSubsemigroup.toSubsemigroup'_closure", "AddSubsemigroup.toSubsemigroup_closure", "AddTorsor.connectedSpace", "AddTorsor.subsingleton_iff", "AddValuation.IsEquiv.comap", "AddValuation.IsEquiv.map", "AddValuation.IsEquiv.ne_top", "AddValuation.IsEquiv.symm", "AddValuation.IsEquiv.val_eq", "AddValuation.comap_comp", "AddValuation.ext", "AddValuation.ext_iff", "AddValuation.map_add'", "AddValuation.map_add_supp", "AddValuation.map_eq_of_lt_sub", "AddValuation.map_le_sub", "AddValuation.map_le_sum", "AddValuation.map_lt_sum'", "AddValuation.map_mul", "AddValuation.map_neg", "AddValuation.map_one", "AddValuation.map_pow", "AddValuation.map_sub", "AddValuation.map_zero", "AddValuation.mem_supp_iff", "AddValuation.of_apply", "AddValuation.supp_quot", "AddValuation.top_iff", "AddValuation.valuation_apply", "Additive.exists", "Additive.forall", "Additive.isAddHom", "Additive.isAddSubmonoid", "Additive.isAddSubmonoid_iff", "Additive.isNormalAddSubgroup", "Additive.ofMul_symm_eq", "Additive.toMul_le", "Additive.toMul_lt", "Additive.toMul_symm_eq", "AdicCompletion.AdicCauchySequence.add_apply", "AdicCompletion.AdicCauchySequence.ext", "AdicCompletion.AdicCauchySequence.ext_iff", "AdicCompletion.AdicCauchySequence.map_comp", "AdicCompletion.AdicCauchySequence.map_id", "AdicCompletion.AdicCauchySequence.map_zero", "AdicCompletion.AdicCauchySequence.mk_eq_mk", "AdicCompletion.AdicCauchySequence.sub_apply", "AdicCompletion.Ideal.mk_eq_mk", "AdicCompletion.component_sumInv", "AdicCompletion.congr_apply", "AdicCompletion.eval_apply", "AdicCompletion.eval_comp_of", "AdicCompletion.eval_lift", "AdicCompletion.eval\u2090_mk", "AdicCompletion.eval\u2090_mk\u2090", "AdicCompletion.induction_on", "AdicCompletion.isAdicCauchy_iff", "AdicCompletion.map_comp", "AdicCompletion.map_comp_apply", "AdicCompletion.map_exact", "AdicCompletion.map_ext", "AdicCompletion.map_ext'", "AdicCompletion.map_ext''", "AdicCompletion.map_injective", "AdicCompletion.map_surjective", "AdicCompletion.map_val_apply", "AdicCompletion.mk_smul_mk", "AdicCompletion.mk_surjective", "AdicCompletion.mk_zero_of", "AdicCompletion.mul_apply", "AdicCompletion.of_apply", "AdicCompletion.one_apply", "AdicCompletion.piEquivFin_apply", "AdicCompletion.piEquivOfFintype_apply", "AdicCompletion.smul_mk", "AdicCompletion.sumEquivOfFintype_apply", "AdicCompletion.sumEquivOfFintype_symm_apply", "AdicCompletion.sumInv_comp_sum", "AdicCompletion.sum_comp_sumInv", "AdicCompletion.sum_lof", "AdicCompletion.sum_of", "AdicCompletion.transitionMap_comp", "AdicCompletion.transitionMap_comp_apply", "AdicCompletion.transitionMap_comp_eval_apply", "AdicCompletion.transitionMap_comp_reduceModIdeal", "AdicCompletion.transitionMap_eq", "AdicCompletion.transitionMap_ideal_mk", "AdicCompletion.transitionMap_map_mul", "AdicCompletion.transitionMap_map_one", "AdicCompletion.transitionMap_mk", "AdicCompletion.val_mul", "AdicCompletion.val_one", "AdicCompletion.val_smul", "AdicCompletion.val_smul_eq_eval\u2090_smul", "AdicCompletion.val_sum", "AdjoinRoot.Minpoly.toAdjoin.apply_X", "AdjoinRoot.Minpoly.toAdjoin.surjective", "AdjoinRoot.Minpoly.toAdjoin_apply'", "AdjoinRoot.Polynomial.quotQuotEquivComm_mk", "AdjoinRoot.Polynomial.quotQuotEquivComm_symm_mk_mk", "AdjoinRoot.adjoinRoot_eq_top", "AdjoinRoot.aeval_algHom_eq_zero", "AdjoinRoot.aeval_eq", "AdjoinRoot.algEquivOfAssociated_apply_root", "AdjoinRoot.algEquivOfAssociated_toAlgHom", "AdjoinRoot.algEquivOfEq_apply_root", "AdjoinRoot.algEquivOfEq_toAlgHom", "AdjoinRoot.algHomOfDvd_apply_root", "AdjoinRoot.algHom_ext", "AdjoinRoot.algHom_subsingleton", "AdjoinRoot.algebraMap_eq", "AdjoinRoot.algebraMap_eq'", "AdjoinRoot.coe_algEquivOfAssociated", "AdjoinRoot.coe_algEquivOfEq", "AdjoinRoot.coe_algHomOfDvd", "AdjoinRoot.coe_injective", "AdjoinRoot.equiv'_symm_toAlgHom", "AdjoinRoot.equiv'_toAlgHom", "AdjoinRoot.evalEval_mk", "AdjoinRoot.eval\u2082_root", "AdjoinRoot.induction_on", "AdjoinRoot.isAdjoinRootMonic_map_eq_mk", "AdjoinRoot.isAdjoinRootMonic_root_eq_root", "AdjoinRoot.isAdjoinRoot_root_eq_root", "AdjoinRoot.isAlgebraic_root", "AdjoinRoot.isIntegral_root", "AdjoinRoot.isIntegral_root'", "AdjoinRoot.isRoot_root", "AdjoinRoot.liftHom_eq_algHom", "AdjoinRoot.liftHom_mk", "AdjoinRoot.liftHom_root", "AdjoinRoot.lift_comp_of", "AdjoinRoot.lift_mk", "AdjoinRoot.lift_of", "AdjoinRoot.lift_root", "AdjoinRoot.minpoly_powerBasis_gen", "AdjoinRoot.minpoly_powerBasis_gen_of_monic", "AdjoinRoot.minpoly_root", "AdjoinRoot.mk_X", "AdjoinRoot.mk_eq_mk", "AdjoinRoot.mk_eq_zero", "AdjoinRoot.mk_leftInverse", "AdjoinRoot.mk_ne_zero_of_degree_lt", "AdjoinRoot.mk_ne_zero_of_natDegree_lt", "AdjoinRoot.mk_self", "AdjoinRoot.modByMonicHom_mk", "AdjoinRoot.noZeroSMulDivisors_of_prime_of_degree_ne_zero", "AdjoinRoot.nontrivial", "AdjoinRoot.of.injective_of_degree_ne_zero", "AdjoinRoot.powerBasisAux'_repr_symm_apply", "AdjoinRoot.quotAdjoinRootEquivQuotPolynomialQuot_mk_of", "AdjoinRoot.quotAdjoinRootEquivQuotPolynomialQuot_symm_mk_mk", "AdjoinRoot.quotEquivQuotMap_apply_mk", "AdjoinRoot.quotEquivQuotMap_symm_apply_mk", "AdjoinRoot.quotMapOfEquivQuotMapCMapSpanMk_symm_mk", "AdjoinRoot.root_isInv", "AdjoinRoot.smul_mk", "AdjoinRoot.smul_of", "Aesop.Array.size_modify", "Aesop.BuiltinRules.empty_false", "Aesop.BuiltinRules.heq_iff_eq", "Aesop.BuiltinRules.not_intro", "Aesop.BuiltinRules.pEmpty_false", "Affine.Simplex.affineSpan_pair_eq_altitude_iff", "Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenter", "Affine.Simplex.centroid_eq_iff", "Affine.Simplex.centroid_eq_of_range_eq", "Affine.Simplex.circumcenter_eq_affineCombination_of_pointsWithCircumcenter", "Affine.Simplex.circumcenter_eq_centroid", "Affine.Simplex.circumcenter_eq_of_range_eq", "Affine.Simplex.circumcenter_eq_point", "Affine.Simplex.circumcenter_reindex", "Affine.Simplex.circumradius_reindex", "Affine.Simplex.circumsphere_unique_dist_eq", "Affine.Simplex.coe_orthogonalProjection_vadd_smul_vsub_orthogonalProjection", "Affine.Simplex.direction_altitude", "Affine.Simplex.direction_mongePlane", "Affine.Simplex.dist_circumcenter_eq_circumradius'", "Affine.Simplex.dist_circumcenter_sq_eq_sq_sub_circumradius", "Affine.Simplex.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq", "Affine.Simplex.eq_circumcenter_of_dist_eq", "Affine.Simplex.eq_circumradius_of_dist_eq", "Affine.Simplex.eq_mongePoint_of_forall_mem_mongePlane", "Affine.Simplex.ext_iff", "Affine.Simplex.face_centroid_eq_centroid", "Affine.Simplex.face_centroid_eq_iff", "Affine.Simplex.face_eq_mkOfPoint", "Affine.Simplex.face_points", "Affine.Simplex.finrank_direction_altitude", "Affine.Simplex.inner_mongePoint_vsub_face_centroid_vsub", "Affine.Simplex.mem_altitude", "Affine.Simplex.mkOfPoint_points", "Affine.Simplex.mongePlane_comm", "Affine.Simplex.mongePlane_def", "Affine.Simplex.mongePointVSubFaceCentroidWeightsWithCircumcenter_eq_sub", "Affine.Simplex.mongePoint_eq_affineCombination_of_pointsWithCircumcenter", "Affine.Simplex.mongePoint_eq_of_range_eq", "Affine.Simplex.mongePoint_eq_smul_vsub_vadd_circumcenter", "Affine.Simplex.mongePoint_mem_mongePlane", "Affine.Simplex.mongePoint_vsub_face_centroid_eq_weightedVSub_of_pointsWithCircumcenter", "Affine.Simplex.orthogonalProjection_circumcenter", "Affine.Simplex.orthogonalProjection_eq_circumcenter_of_dist_eq", "Affine.Simplex.orthogonalProjection_eq_circumcenter_of_exists_dist_eq", "Affine.Simplex.orthogonalProjection_vadd_smul_vsub_orthogonalProjection", "Affine.Simplex.point_eq_affineCombination_of_pointsWithCircumcenter", "Affine.Simplex.pointsWithCircumcenter_eq_circumcenter", "Affine.Simplex.pointsWithCircumcenter_point", "Affine.Simplex.range_face_points", "Affine.Simplex.reflection_circumcenter_eq_affineCombination_of_pointsWithCircumcenter", "Affine.Simplex.reindex_range_points", "Affine.Simplex.reindex_refl", "Affine.Simplex.reindex_reindex_symm", "Affine.Simplex.reindex_symm_reindex", "Affine.Simplex.reindex_trans", "Affine.Simplex.span_eq_top", "Affine.Simplex.sum_centroidWeightsWithCircumcenter", "Affine.Simplex.sum_circumcenterWeightsWithCircumcenter", "Affine.Simplex.sum_mongePointVSubFaceCentroidWeightsWithCircumcenter", "Affine.Simplex.sum_mongePointWeightsWithCircumcenter", "Affine.Simplex.sum_pointWeightsWithCircumcenter", "Affine.Simplex.sum_pointsWithCircumcenter", "Affine.Simplex.sum_reflectionCircumcenterWeightsWithCircumcenter", "Affine.Simplex.vectorSpan_isOrtho_altitude_direction", "Affine.Triangle.affineSpan_orthocenter_point_le_altitude", "Affine.Triangle.altitude_eq_mongePlane", "Affine.Triangle.altitude_replace_orthocenter_eq_affineSpan", "Affine.Triangle.circumsphere_eq_circumsphere_of_eq_of_eq_of_two_zsmul_oangle_eq", "Affine.Triangle.circumsphere_eq_of_dist_of_oangle", "Affine.Triangle.dist_div_sin_oangle_div_two_eq_circumradius", "Affine.Triangle.dist_div_sin_oangle_eq_two_mul_circumradius", "Affine.Triangle.dist_orthocenter_reflection_circumcenter", "Affine.Triangle.dist_orthocenter_reflection_circumcenter_finset", "Affine.Triangle.eq_orthocenter_of_forall_mem_altitude", "Affine.Triangle.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_circumcenter", "Affine.Triangle.mem_circumsphere_of_two_zsmul_oangle_eq", "Affine.Triangle.orthocenter_eq_mongePoint", "Affine.Triangle.orthocenter_eq_of_range_eq", "Affine.Triangle.orthocenter_eq_smul_vsub_vadd_circumcenter", "Affine.Triangle.orthocenter_mem_altitude", "Affine.Triangle.orthocenter_replace_orthocenter_eq_point", "AffineBasis.affineCombination_coord_eq_self", "AffineBasis.affineIndependent_of_toMatrix_right_inv", "AffineBasis.affineSpan_eq_top_of_toMatrix_left_inv", "AffineBasis.basisOf_apply", "AffineBasis.basisOf_reindex", "AffineBasis.card_eq_finrank_add_one", "AffineBasis.centroid_mem_interior_convexHull", "AffineBasis.coe_coord_of_subsingleton_eq_one", "AffineBasis.convexHull_eq_nonneg_coord", "AffineBasis.coord_apply", "AffineBasis.coord_apply_centroid", "AffineBasis.coord_apply_combination_of_mem", "AffineBasis.coord_apply_combination_of_not_mem", "AffineBasis.coord_apply_eq", "AffineBasis.coord_apply_ne", "AffineBasis.coords_apply", "AffineBasis.exists_affineBasis", "AffineBasis.exists_affineBasis_of_finiteDimensional", "AffineBasis.exists_affine_subbasis", "AffineBasis.ext", "AffineBasis.ext_elem", "AffineBasis.finite", "AffineBasis.finiteDimensional", "AffineBasis.finite_set", "AffineBasis.interior_convexHull", "AffineBasis.isUnit_toMatrix_iff", "AffineBasis.linear_combination_coord_eq_self", "AffineBasis.linear_eq_sumCoords", "AffineBasis.nonempty", "AffineBasis.reindex_refl", "AffineBasis.sum_coord_apply_eq_one", "AffineBasis.surjective_coord", "AffineBasis.toMatrix_apply", "AffineBasis.toMatrix_inv_vecMul_toMatrix", "AffineBasis.toMatrix_mul_toMatrix", "AffineBasis.toMatrix_row_sum_one", "AffineBasis.toMatrix_self", "AffineBasis.toMatrix_vecMul_coords", "AffineBasis.tot", "AffineEquiv.affineIndependent_iff", "AffineEquiv.affineIndependent_set_of_eq_iff", "AffineEquiv.apply_eq_iff_eq", "AffineEquiv.apply_lineMap", "AffineEquiv.apply_symm_apply", "AffineEquiv.coeFn_injective", "AffineEquiv.coe_constVSub", "AffineEquiv.coe_homothetyUnitsMulHom_apply", "AffineEquiv.coe_linear", "AffineEquiv.coe_mk", "AffineEquiv.coe_mk'", "AffineEquiv.coe_mul", "AffineEquiv.coe_one", "AffineEquiv.coe_refl", "AffineEquiv.coe_toAffineMap", "AffineEquiv.coe_toEquiv", "AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm", "AffineEquiv.coe_trans", "AffineEquiv.coe_trans_to_affineMap", "AffineEquiv.constVAdd_add", "AffineEquiv.constVAdd_nsmul", "AffineEquiv.constVAdd_zero", "AffineEquiv.ext", "AffineEquiv.image_symm", "AffineEquiv.injective", "AffineEquiv.injective_pointReflection_left_of_injective_bit0", "AffineEquiv.injective_pointReflection_left_of_module", "AffineEquiv.inv_def", "AffineEquiv.linear_mk'", "AffineEquiv.linear_refl", "AffineEquiv.map_midpoint", "AffineEquiv.map_vadd", "AffineEquiv.ofBijective.symm_eq", "AffineEquiv.ofEq_rfl", "AffineEquiv.ofEq_symm", "AffineEquiv.one_def", "AffineEquiv.pointReflection_apply", "AffineEquiv.pointReflection_fixed_iff_of_injective_bit0", "AffineEquiv.pointReflection_fixed_iff_of_module", "AffineEquiv.pointReflection_involutive", "AffineEquiv.pointReflection_midpoint_left", "AffineEquiv.pointReflection_midpoint_right", "AffineEquiv.pointReflection_self", "AffineEquiv.pointReflection_symm", "AffineEquiv.preimage_symm", "AffineEquiv.range_eq", "AffineEquiv.refl_apply", "AffineEquiv.refl_trans", "AffineEquiv.sSameSide_map_iff", "AffineEquiv.sbtw_map_iff", "AffineEquiv.self_trans_symm", "AffineEquiv.span_eq_top_iff", "AffineEquiv.symm_linear", "AffineEquiv.symm_refl", "AffineEquiv.symm_toEquiv", "AffineEquiv.symm_trans_self", "AffineEquiv.toAffineMap_inj", "AffineEquiv.toAffineMap_injective", "AffineEquiv.toEquiv_inj", "AffineEquiv.toEquiv_injective", "AffineEquiv.toEquiv_pointReflection", "AffineEquiv.toEquiv_refl", "AffineEquiv.trans_assoc", "AffineEquiv.trans_refl", "AffineEquiv.wOppSide_map_iff", "AffineEquiv.wSameSide_map_iff", "AffineEquiv.wbtw_map_iff", "AffineIndependent.affineIndependent_of_not_mem_span", "AffineIndependent.affineSpan_disjoint_of_disjoint", "AffineIndependent.affineSpan_eq_of_le_of_card_eq_finrank_add_one", "AffineIndependent.affineSpan_eq_top_iff_card_eq_finrank_add_one", "AffineIndependent.affineSpan_image_finset_eq_of_le_of_card_eq_finrank_add_one", "AffineIndependent.card_le_card_of_subset_affineSpan", "AffineIndependent.card_le_finrank_succ", "AffineIndependent.card_lt_card_of_affineSpan_lt_affineSpan", "AffineIndependent.comp_embedding", "AffineIndependent.convexHull_inter", "AffineIndependent.eq_of_sum_eq_sum", "AffineIndependent.eq_of_sum_eq_sum_subtype", "AffineIndependent.eq_zero_of_sum_eq_zero_subtype", "AffineIndependent.existsUnique_dist_eq", "AffineIndependent.exists_mem_inter_of_exists_mem_inter_affineSpan", "AffineIndependent.finrank_vectorSpan", "AffineIndependent.finrank_vectorSpan_add_one", "AffineIndependent.finrank_vectorSpan_image_finset", "AffineIndependent.indicator_eq_of_affineCombination_eq", "AffineIndependent.injective", "AffineIndependent.map'", "AffineIndependent.mem_affineSpan_iff", "AffineIndependent.mono", "AffineIndependent.not_mem_affineSpan_diff", "AffineIndependent.of_comp", "AffineIndependent.range", "AffineIndependent.subtype", "AffineIndependent.units_lineMap", "AffineIndependent.vectorSpan_eq_of_le_of_card_eq_finrank_add_one", "AffineIndependent.vectorSpan_eq_top_of_card_eq_finrank_add_one", "AffineIndependent.vectorSpan_image_finset_eq_of_le_of_card_eq_finrank_add_one", "AffineIsometry.angle_map", "AffineIsometry.antilipschitz", "AffineIsometry.coeFn_injective", "AffineIsometry.coe_comp", "AffineIsometry.coe_id", "AffineIsometry.coe_mul", "AffineIsometry.coe_one", "AffineIsometry.coe_toAffineIsometryEquiv", "AffineIsometry.coe_toAffineMap", "AffineIsometry.comp_assoc", "AffineIsometry.comp_continuous_iff", "AffineIsometry.continuous", "AffineIsometry.dist_map", "AffineIsometry.ediam_image", "AffineIsometry.ediam_range", "AffineIsometry.edist_map", "AffineIsometry.ext", "AffineIsometry.id_apply", "AffineIsometry.id_comp", "AffineIsometry.id_toAffineMap", "AffineIsometry.image_intrinsicClosure", "AffineIsometry.image_intrinsicFrontier", "AffineIsometry.image_intrinsicInterior", "AffineIsometry.injective", "AffineIsometry.isometry", "AffineIsometry.linear_eq_linearIsometry", "AffineIsometry.lipschitz", "AffineIsometry.map_ne", "AffineIsometry.map_vadd", "AffineIsometry.map_vsub", "AffineIsometry.nndist_map", "AffineIsometry.toAffineMap_injective", "AffineIsometryEquiv.antilipschitz", "AffineIsometryEquiv.apply_symm_apply", "AffineIsometryEquiv.bijective", "AffineIsometryEquiv.coe_constVAdd", "AffineIsometryEquiv.coe_mul", "AffineIsometryEquiv.coe_one", "AffineIsometryEquiv.coe_refl", "AffineIsometryEquiv.coe_symm_trans", "AffineIsometryEquiv.coe_toAffineEquiv", "AffineIsometryEquiv.coe_toAffineIsometry", "AffineIsometryEquiv.coe_vaddConst", "AffineIsometryEquiv.coe_vaddConst'", "AffineIsometryEquiv.coe_vaddConst_symm", "AffineIsometryEquiv.comp_continuous_iff", "AffineIsometryEquiv.constVAdd_zero", "AffineIsometryEquiv.continuous", "AffineIsometryEquiv.continuousOn", "AffineIsometryEquiv.continuousWithinAt", "AffineIsometryEquiv.diam_image", "AffineIsometryEquiv.dist_map", "AffineIsometryEquiv.dist_pointReflection_fixed", "AffineIsometryEquiv.dist_pointReflection_self", "AffineIsometryEquiv.dist_pointReflection_self'", "AffineIsometryEquiv.ediam_image", "AffineIsometryEquiv.edist_map", "AffineIsometryEquiv.ext", "AffineIsometryEquiv.injective", "AffineIsometryEquiv.isometry", "AffineIsometryEquiv.linearIsometryEquiv_mk'", "AffineIsometryEquiv.lipschitz", "AffineIsometryEquiv.map_eq_iff", "AffineIsometryEquiv.map_ne", "AffineIsometryEquiv.map_vadd", "AffineIsometryEquiv.map_vsub", "AffineIsometryEquiv.pointReflection_apply", "AffineIsometryEquiv.pointReflection_involutive", "AffineIsometryEquiv.pointReflection_midpoint_left", "AffineIsometryEquiv.pointReflection_self", "AffineIsometryEquiv.pointReflection_symm", "AffineIsometryEquiv.pointReflection_toAffineEquiv", "AffineIsometryEquiv.refl_trans", "AffineIsometryEquiv.self_trans_symm", "AffineIsometryEquiv.surjective", "AffineIsometryEquiv.symm_apply_apply", "AffineIsometryEquiv.symm_constVSub", "AffineIsometryEquiv.symm_symm", "AffineIsometryEquiv.toAffineEquiv_injective", "AffineIsometryEquiv.toAffineEquiv_refl", "AffineIsometryEquiv.toHomeomorph_symm", "AffineIsometryEquiv.trans_assoc", "AffineIsometryEquiv.trans_refl", "AffineIsometryEquiv.vaddConst_toAffineEquiv", "AffineIsometryEquiv.vadd_vsub", "AffineMap.add_linear", "AffineMap.apply_lineMap", "AffineMap.coe_const", "AffineMap.coe_fst", "AffineMap.coe_homothetyAffine", "AffineMap.coe_homothetyHom", "AffineMap.coe_id", "AffineMap.coe_lineMap", "AffineMap.coe_mk", "AffineMap.coe_mk'", "AffineMap.coe_neg", "AffineMap.coe_smul", "AffineMap.coe_sub", "AffineMap.comp_apply", "AffineMap.comp_assoc", "AffineMap.comp_id", "AffineMap.comp_lineMap", "AffineMap.congr_arg", "AffineMap.congr_fun", "AffineMap.const_apply", "AffineMap.const_linear", "AffineMap.continuous_iff", "AffineMap.continuous_linear_iff", "AffineMap.continuous_of_finiteDimensional", "AffineMap.decomp", "AffineMap.decomp'", "AffineMap.deriv", "AffineMap.derivWithin", "AffineMap.differentiable", "AffineMap.differentiableAt", "AffineMap.differentiableOn", "AffineMap.differentiableWithinAt", "AffineMap.ext", "AffineMap.ext_iff", "AffineMap.ext_linear", "AffineMap.ext_linear_iff", "AffineMap.fst_lineMap", "AffineMap.fst_linear", "AffineMap.hasDerivAtFilter", "AffineMap.hasDerivAt_lineMap", "AffineMap.hasDerivWithinAt", "AffineMap.hasDerivWithinAt_lineMap", "AffineMap.homothety_add", "AffineMap.homothety_apply", "AffineMap.homothety_apply_same", "AffineMap.homothety_continuous", "AffineMap.homothety_def", "AffineMap.homothety_eq_lineMap", "AffineMap.homothety_isOpenMap", "AffineMap.homothety_mul_apply", "AffineMap.homothety_neg_one_apply", "AffineMap.homothety_one", "AffineMap.homothety_zero", "AffineMap.id_comp", "AffineMap.image_convexHull", "AffineMap.image_uIcc", "AffineMap.image_vsub_image", "AffineMap.isOpenMap", "AffineMap.isOpenMap_linear_iff", "AffineMap.left_vsub_lineMap", "AffineMap.lineMap_apply", "AffineMap.lineMap_apply_module", "AffineMap.lineMap_apply_module'", "AffineMap.lineMap_apply_one", "AffineMap.lineMap_apply_one_sub", "AffineMap.lineMap_apply_ring", "AffineMap.lineMap_apply_ring'", "AffineMap.lineMap_apply_zero", "AffineMap.lineMap_continuous", "AffineMap.lineMap_eq_lineMap_iff", "AffineMap.lineMap_eq_right_iff", "AffineMap.lineMap_injective", "AffineMap.lineMap_linear", "AffineMap.lineMap_mem", "AffineMap.lineMap_mem_affineSpan_pair", "AffineMap.lineMap_rev_mem_affineSpan_pair", "AffineMap.lineMap_same", "AffineMap.lineMap_same_apply", "AffineMap.lineMap_vadd_apply", "AffineMap.lineMap_vadd_lineMap", "AffineMap.lineMap_vsub_left", "AffineMap.lineMap_vsub_lineMap", "AffineMap.lineMap_vsub_right", "AffineMap.linearMap_vsub", "AffineMap.linear_eq_zero_iff_exists_const", "AffineMap.linear_injective_iff", "AffineMap.linear_surjective_iff", "AffineMap.map_midpoint", "AffineMap.map_top_of_surjective", "AffineMap.map_vadd", "AffineMap.mk'_linear", "AffineMap.neg_linear", "AffineMap.pi_apply", "AffineMap.pi_eq_zero", "AffineMap.pi_ext_nonempty", "AffineMap.pi_ext_nonempty'", "AffineMap.pi_ext_zero", "AffineMap.pi_zero", "AffineMap.restrict.bijective", "AffineMap.restrict.coe_apply", "AffineMap.restrict.injective", "AffineMap.restrict.linear_aux", "AffineMap.restrict.surjective", "AffineMap.slope_comp", "AffineMap.snd_linear", "AffineMap.span_eq_top_of_surjective", "AffineMap.toFun_eq_coe", "AffineMap.vadd_apply", "AffineMap.vectorSpan_image_eq_submodule_map", "AffineMap.vsub_apply", "AffineSubspace.Parallel.direction_eq", "AffineSubspace.Parallel.symm", "AffineSubspace.Parallel.trans", "AffineSubspace.Parallel.vectorSpan_eq", "AffineSubspace.SOppSide.left_not_mem", "AffineSubspace.SOppSide.not_sSameSide", "AffineSubspace.SOppSide.oangle_sign_eq_neg", "AffineSubspace.SOppSide.trans", "AffineSubspace.SOppSide.wOppSide", "AffineSubspace.SSameSide.nonempty", "AffineSubspace.SSameSide.not_wOppSide", "AffineSubspace.SSameSide.oangle_sign_eq", "AffineSubspace.SSameSide.right_not_mem", "AffineSubspace.SSameSide.trans", "AffineSubspace.SSameSide.trans_sOppSide", "AffineSubspace.SSameSide.trans_wOppSide", "AffineSubspace.SSameSide.wSameSide", "AffineSubspace.WOppSide.map", "AffineSubspace.WOppSide.nonempty", "AffineSubspace.WOppSide.not_sSameSide", "AffineSubspace.WOppSide.trans", "AffineSubspace.WOppSide.trans_wSameSide", "AffineSubspace.WSameSide.map", "AffineSubspace.WSameSide.nonempty", "AffineSubspace.WSameSide.not_sOppSide", "AffineSubspace.WSameSide.trans", "AffineSubspace.WSameSide.trans_sOppSide", "AffineSubspace.WSameSide.trans_sSameSide", "AffineSubspace.WSameSide.trans_wOppSide", "AffineSubspace.affineSpan_coe", "AffineSubspace.affineSpan_eq_top_iff_vectorSpan_eq_top_of_nonempty", "AffineSubspace.affineSpan_eq_top_iff_vectorSpan_eq_top_of_nontrivial", "AffineSubspace.affineSpan_parallel_iff_vectorSpan_eq_and_eq_empty_iff_eq_empty", "AffineSubspace.angle_coe", "AffineSubspace.bot_coe", "AffineSubspace.bot_ne_top", "AffineSubspace.coe_affineSpan_singleton", "AffineSubspace.coe_comap", "AffineSubspace.coe_direction_eq_vsub_set_left", "AffineSubspace.coe_direction_eq_vsub_set_right", "AffineSubspace.coe_eq_bot_iff", "AffineSubspace.coe_map", "AffineSubspace.coe_pointwise_vadd", "AffineSubspace.coe_subtype\u2090\u1d62", "AffineSubspace.coe_vadd", "AffineSubspace.coe_vsub", "AffineSubspace.comap_bot", "AffineSubspace.comap_comap", "AffineSubspace.comap_id", "AffineSubspace.comap_inf", "AffineSubspace.comap_span", "AffineSubspace.comap_supr", "AffineSubspace.convex", "AffineSubspace.directionOfNonempty_eq_direction", "AffineSubspace.direction_affineSpan_insert", "AffineSubspace.direction_bot", "AffineSubspace.direction_eq_top_iff_of_nonempty", "AffineSubspace.direction_eq_vectorSpan", "AffineSubspace.direction_inf", "AffineSubspace.direction_inf_of_mem", "AffineSubspace.direction_le", "AffineSubspace.direction_lt_of_nonempty", "AffineSubspace.direction_mk'", "AffineSubspace.direction_perpBisector", "AffineSubspace.direction_sup", "AffineSubspace.direction_top", "AffineSubspace.eq_bot_or_nonempty", "AffineSubspace.eq_univ_of_subsingleton_span_eq_top", "AffineSubspace.exists_of_lt", "AffineSubspace.ext", "AffineSubspace.ext_iff", "AffineSubspace.ext_of_direction_eq", "AffineSubspace.gc_map_comap", "AffineSubspace.injective_subtype", "AffineSubspace.inter_eq_singleton_of_nonempty_of_isCompl", "AffineSubspace.inter_nonempty_of_nonempty_of_sup_direction_eq_top", "AffineSubspace.isClosed_direction_iff", "AffineSubspace.isConnected_setOf_sOppSide", "AffineSubspace.isConnected_setOf_sSameSide", "AffineSubspace.isConnected_setOf_wOppSide", "AffineSubspace.isConnected_setOf_wSameSide", "AffineSubspace.isPreconnected_setOf_sOppSide", "AffineSubspace.isPreconnected_setOf_sSameSide", "AffineSubspace.isPreconnected_setOf_wOppSide", "AffineSubspace.isPreconnected_setOf_wSameSide", "AffineSubspace.isometryEquivMap.apply_symm_apply", "AffineSubspace.isometryEquivMap.coe_apply", "AffineSubspace.le_def'", "AffineSubspace.left_mem_perpBisector", "AffineSubspace.lt_def", "AffineSubspace.lt_iff_le_and_exists", "AffineSubspace.map_direction", "AffineSubspace.map_eq_bot_iff", "AffineSubspace.map_iSup", "AffineSubspace.map_id", "AffineSubspace.map_le_iff_le_comap", "AffineSubspace.map_map", "AffineSubspace.map_pointwise_vadd", "AffineSubspace.map_span", "AffineSubspace.map_sup", "AffineSubspace.map_symm", "AffineSubspace.mem_affineSpan_insert_iff", "AffineSubspace.mem_affineSpan_singleton", "AffineSubspace.mem_coe", "AffineSubspace.mem_comap", "AffineSubspace.mem_direction_iff_eq_vsub", "AffineSubspace.mem_direction_iff_eq_vsub_left", "AffineSubspace.mem_direction_iff_eq_vsub_right", "AffineSubspace.mem_inf_iff", "AffineSubspace.mem_map", "AffineSubspace.mem_map_iff_mem_of_injective", "AffineSubspace.mem_map_of_mem", "AffineSubspace.mem_mk'_iff_vsub_mem", "AffineSubspace.mem_perpBisector_iff_dist_eq", "AffineSubspace.mem_perpBisector_iff_dist_eq'", "AffineSubspace.mem_perpBisector_iff_inner_eq", "AffineSubspace.mem_perpBisector_iff_inner_eq_inner", "AffineSubspace.mem_perpBisector_iff_inner_eq_zero", "AffineSubspace.mem_perpBisector_iff_inner_pointReflection_vsub_eq_zero", "AffineSubspace.mem_perpBisector_pointReflection_iff_inner_eq_zero", "AffineSubspace.mem_top", "AffineSubspace.mk'_eq", "AffineSubspace.mk'_nonempty", "AffineSubspace.nonempty_iff_ne_bot", "AffineSubspace.nonempty_map", "AffineSubspace.nonempty_of_affineSpan_eq_top", "AffineSubspace.not_le_iff_exists", "AffineSubspace.not_mem_bot", "AffineSubspace.not_sOppSide_bot", "AffineSubspace.not_wOppSide_bot", "AffineSubspace.parallel_bot_iff_eq_bot", "AffineSubspace.parallel_comm", "AffineSubspace.perpBisector_comm", "AffineSubspace.perpBisector_eq_top", "AffineSubspace.pointwise_vadd_bot", "AffineSubspace.pointwise_vadd_direction", "AffineSubspace.pointwise_vadd_eq_map", "AffineSubspace.preimage_coe_affineSpan_singleton", "AffineSubspace.right_mem_perpBisector", "AffineSubspace.sOppSide_comm", "AffineSubspace.sOppSide_iff_exists_left", "AffineSubspace.sOppSide_iff_exists_right", "AffineSubspace.sOppSide_lineMap_left", "AffineSubspace.sOppSide_lineMap_right", "AffineSubspace.sOppSide_smul_vsub_vadd_left", "AffineSubspace.sOppSide_smul_vsub_vadd_right", "AffineSubspace.sOppSide_vadd_left_iff", "AffineSubspace.sOppSide_vadd_right_iff", "AffineSubspace.sSameSide_comm", "AffineSubspace.sSameSide_iff_exists_left", "AffineSubspace.sSameSide_iff_exists_right", "AffineSubspace.sSameSide_lineMap_left", "AffineSubspace.sSameSide_lineMap_right", "AffineSubspace.sSameSide_self_iff", "AffineSubspace.sSameSide_smul_vsub_vadd_left", "AffineSubspace.sSameSide_smul_vsub_vadd_right", "AffineSubspace.sSameSide_vadd_left_iff", "AffineSubspace.sSameSide_vadd_right_iff", "AffineSubspace.self_mem_mk'", "AffineSubspace.setOf_sOppSide_eq_image2", "AffineSubspace.setOf_sSameSide_eq_image2", "AffineSubspace.setOf_wOppSide_eq_image2", "AffineSubspace.setOf_wSameSide_eq_image2", "AffineSubspace.spanPoints_subset_coe_of_subset_coe", "AffineSubspace.span_empty", "AffineSubspace.span_iUnion", "AffineSubspace.span_univ", "AffineSubspace.subsingleton_of_subsingleton_span_eq_top", "AffineSubspace.subtype_linear", "AffineSubspace.subtype\u2090\u1d62_linear", "AffineSubspace.subtype\u2090\u1d62_toAffineMap", "AffineSubspace.sup_direction_le", "AffineSubspace.sup_direction_lt_of_nonempty_of_inter_empty", "AffineSubspace.top_coe", "AffineSubspace.vadd_mem_iff_mem_direction", "AffineSubspace.vadd_mem_iff_mem_of_mem_direction", "AffineSubspace.vadd_mem_mk'", "AffineSubspace.vadd_mem_of_mem_direction", "AffineSubspace.vadd_mem_pointwise_vadd_iff", "AffineSubspace.vectorSpan_eq_top_of_affineSpan_eq_top", "AffineSubspace.vsub_mem_direction", "AffineSubspace.vsub_right_mem_direction_iff_mem", "AffineSubspace.wOppSide_comm", "AffineSubspace.wOppSide_iff_exists_left", "AffineSubspace.wOppSide_iff_exists_right", "AffineSubspace.wOppSide_iff_exists_wbtw", "AffineSubspace.wOppSide_lineMap_left", "AffineSubspace.wOppSide_of_left_mem", "AffineSubspace.wOppSide_pointReflection", "AffineSubspace.wOppSide_self_iff", "AffineSubspace.wOppSide_smul_vsub_vadd_left", "AffineSubspace.wOppSide_vadd_left_iff", "AffineSubspace.wOppSide_vadd_right_iff", "AffineSubspace.wSameSide_and_wOppSide_iff", "AffineSubspace.wSameSide_comm", "AffineSubspace.wSameSide_iff_exists_left", "AffineSubspace.wSameSide_iff_exists_right", "AffineSubspace.wSameSide_of_left_mem", "AffineSubspace.wSameSide_of_right_mem", "AffineSubspace.wSameSide_self_iff", "AffineSubspace.wSameSide_smul_vsub_vadd_left", "AffineSubspace.wSameSide_smul_vsub_vadd_right", "AffineSubspace.wSameSide_vadd_left_iff", "AhlswedeZhang.IsAntichain.le_infSum", "AhlswedeZhang.infSum_compls_add_supSum", "AhlswedeZhang.infSum_eq_one", "AhlswedeZhang.infSum_union_add_infSum_sups", "AhlswedeZhang.supSum_of_not_univ_mem", "AhlswedeZhang.supSum_singleton", "AhlswedeZhang.supSum_union_add_supSum_infs", "AkraBazziRecurrence.GrowsPolynomially.abs", "AkraBazziRecurrence.GrowsPolynomially.add", "AkraBazziRecurrence.GrowsPolynomially.add_isLittleO", "AkraBazziRecurrence.GrowsPolynomially.congr_of_eventuallyEq", "AkraBazziRecurrence.GrowsPolynomially.const_mul", "AkraBazziRecurrence.GrowsPolynomially.div", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_ge", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_ge_nat", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_le", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_le_nat", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_nonneg_or_nonpos", "AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_zero_or_pos_or_neg", "AkraBazziRecurrence.GrowsPolynomially.eventually_zero_of_frequently_zero", "AkraBazziRecurrence.GrowsPolynomially.iff_eventuallyEq", "AkraBazziRecurrence.GrowsPolynomially.inv", "AkraBazziRecurrence.GrowsPolynomially.mul", "AkraBazziRecurrence.GrowsPolynomially.neg", "AkraBazziRecurrence.GrowsPolynomially.neg_iff", "AkraBazziRecurrence.GrowsPolynomially.norm", "AkraBazziRecurrence.GrowsPolynomially.of_isEquivalent", "AkraBazziRecurrence.GrowsPolynomially.of_isEquivalent_const", "AkraBazziRecurrence.GrowsPolynomially.of_isTheta", "AkraBazziRecurrence.GrowsPolynomially.rpow", "AkraBazziRecurrence.T_isBigO_smoothingFn_mul_asympBound", "AkraBazziRecurrence.T_nonneg", "AkraBazziRecurrence.T_pos", "AkraBazziRecurrence.asympBound_def'", "AkraBazziRecurrence.asympBound_pos", "AkraBazziRecurrence.base_nonempty", "AkraBazziRecurrence.bi_min_div_two_lt_one", "AkraBazziRecurrence.bi_min_div_two_pos", "AkraBazziRecurrence.continuous_sumCoeffsExp", "AkraBazziRecurrence.deriv_smoothingFn", "AkraBazziRecurrence.differentiableAt_one_add_smoothingFn", "AkraBazziRecurrence.differentiableAt_smoothingFn", "AkraBazziRecurrence.dist_r_b'", "AkraBazziRecurrence.eventually_asympBound_pos", "AkraBazziRecurrence.eventually_asympBound_r_pos", "AkraBazziRecurrence.eventually_atTop_sumTransform_ge", "AkraBazziRecurrence.eventually_atTop_sumTransform_le", "AkraBazziRecurrence.eventually_b_le_r", "AkraBazziRecurrence.eventually_bi_mul_le_r", "AkraBazziRecurrence.eventually_deriv_one_add_smoothingFn", "AkraBazziRecurrence.eventually_deriv_one_sub_smoothingFn", "AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFn", "AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFn", "AkraBazziRecurrence.eventually_log_b_mul_pos", "AkraBazziRecurrence.eventually_one_add_smoothingFn_nonneg", "AkraBazziRecurrence.eventually_one_add_smoothingFn_pos", "AkraBazziRecurrence.eventually_one_add_smoothingFn_r_pos", "AkraBazziRecurrence.eventually_one_sub_smoothingFn_gt_const_real", "AkraBazziRecurrence.eventually_one_sub_smoothingFn_nonneg", "AkraBazziRecurrence.eventually_one_sub_smoothingFn_pos", "AkraBazziRecurrence.eventually_one_sub_smoothingFn_pos_real", "AkraBazziRecurrence.eventually_one_sub_smoothingFn_r_pos", "AkraBazziRecurrence.eventually_r_ge", "AkraBazziRecurrence.eventually_r_lt_n", "AkraBazziRecurrence.eventually_r_pos", "AkraBazziRecurrence.exists_eventually_const_mul_le_r", "AkraBazziRecurrence.exists_eventually_r_le_const_mul", "AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn", "AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn", "AkraBazziRecurrence.growsPolynomially_id", "AkraBazziRecurrence.growsPolynomially_log", "AkraBazziRecurrence.growsPolynomially_one_add_smoothingFn", "AkraBazziRecurrence.growsPolynomially_one_sub_smoothingFn", "AkraBazziRecurrence.growsPolynomially_pow", "AkraBazziRecurrence.isBigO_apply_r_sub_b", "AkraBazziRecurrence.isBigO_asympBound", "AkraBazziRecurrence.isBigO_symm_asympBound", "AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFn", "AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFn", "AkraBazziRecurrence.isEquivalent_one_add_smoothingFn_one", "AkraBazziRecurrence.isEquivalent_smoothingFn_sub_self", "AkraBazziRecurrence.isLittleO_deriv_one_add_smoothingFn", "AkraBazziRecurrence.isLittleO_deriv_one_sub_smoothingFn", "AkraBazziRecurrence.isLittleO_deriv_smoothingFn", "AkraBazziRecurrence.isLittleO_self_div_log_id", "AkraBazziRecurrence.isLittleO_smoothingFn_one", "AkraBazziRecurrence.isTheta_asympBound", "AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFn", "AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFn", "AkraBazziRecurrence.isTheta_smoothingFn_sub_self", "AkraBazziRecurrence.max_bi_le", "AkraBazziRecurrence.min_bi_le", "AkraBazziRecurrence.one_add_smoothingFn_le_two", "AkraBazziRecurrence.one_mem_range_sumCoeffsExp", "AkraBazziRecurrence.rpow_p_mul_one_add_smoothingFn_ge", "AkraBazziRecurrence.rpow_p_mul_one_sub_smoothingFn_le", "AkraBazziRecurrence.smoothingFn_mul_asympBound_isBigO_T", "AkraBazziRecurrence.strictAntiOn_one_add_smoothingFn", "AkraBazziRecurrence.strictAntiOn_smoothingFn", "AkraBazziRecurrence.strictAnti_sumCoeffsExp", "AkraBazziRecurrence.strictMonoOn_one_sub_smoothingFn", "AkraBazziRecurrence.sumCoeffsExp_p_eq_one", "AkraBazziRecurrence.tendsto_atTop_r_real", "AkraBazziRecurrence.tendsto_atTop_sumCoeffsExp", "AkraBazziRecurrence.tendsto_zero_sumCoeffsExp", "AlexandrovDiscrete.sup", "AlgEquiv.algebraMap_eq_apply", "AlgEquiv.apply_symm_apply", "AlgEquiv.arrowCongr_comp", "AlgEquiv.arrowCongr_trans", "AlgEquiv.autCongr_refl", "AlgEquiv.autCongr_symm", "AlgEquiv.autCongr_trans", "AlgEquiv.aut_mul", "AlgEquiv.aut_one", "AlgEquiv.bijective", "AlgEquiv.coe_algHom", "AlgEquiv.coe_algHom_injective", "AlgEquiv.coe_apply_coe_coe_symm_apply", "AlgEquiv.coe_coe", "AlgEquiv.coe_coe_symm_apply_coe_apply", "AlgEquiv.coe_mapIntegralClosure", "AlgEquiv.coe_mk", "AlgEquiv.coe_ofBijective", "AlgEquiv.coe_restrictScalars", "AlgEquiv.coe_ringEquiv", "AlgEquiv.coe_ringEquiv'", "AlgEquiv.coe_ringHom_commutes", "AlgEquiv.commutes", "AlgEquiv.comp_symm", "AlgEquiv.congr_arg", "AlgEquiv.congr_fun", "AlgEquiv.equivCongr_refl", "AlgEquiv.equivCongr_symm", "AlgEquiv.ext", "AlgEquiv.fieldRange_eq_top", "AlgEquiv.injective", "AlgEquiv.isPurelyInseparable", "AlgEquiv.isSeparable", "AlgEquiv.leftInverse_symm", "AlgEquiv.liftNormal_commutes", "AlgEquiv.mapMatrix_refl", "AlgEquiv.mapMatrix_symm", "AlgEquiv.map_add", "AlgEquiv.map_det", "AlgEquiv.map_finsupp_prod", "AlgEquiv.map_finsupp_sum", "AlgEquiv.map_mul", "AlgEquiv.map_neg", "AlgEquiv.map_one", "AlgEquiv.map_sub", "AlgEquiv.mk_coe", "AlgEquiv.mk_coe'", "AlgEquiv.mul_apply", "AlgEquiv.ofAlgHom_symm", "AlgEquiv.ofBijective_apply", "AlgEquiv.ofLeftInverse_symm_apply", "AlgEquiv.one_apply", "AlgEquiv.one_toLinearMap", "AlgEquiv.piCongrRight_refl", "AlgEquiv.piCongrRight_trans", "AlgEquiv.refl_symm", "AlgEquiv.refl_toAlgHom", "AlgEquiv.restrictNormal_commutes", "AlgEquiv.restrictScalars_apply", "AlgEquiv.restrictScalars_injective", "AlgEquiv.restrict_liftNormal", "AlgEquiv.rightInverse_symm", "AlgEquiv.smul_units_def", "AlgEquiv.spectrum_eq", "AlgEquiv.symm_apply_apply", "AlgEquiv.symm_bijective", "AlgEquiv.symm_mk", "AlgEquiv.symm_symm", "AlgEquiv.symm_toEquiv_eq_symm", "AlgEquiv.symm_toRingEquiv", "AlgEquiv.symm_trans_apply", "AlgEquiv.toAlgHom_eq_coe", "AlgEquiv.toAlgHom_op", "AlgEquiv.toAlgHom_unop", "AlgEquiv.toEquiv_eq_coe", "AlgEquiv.toLieEquiv_apply", "AlgEquiv.toLieEquiv_symm_apply", "AlgEquiv.toLinearEquiv_ofLinearEquiv", "AlgEquiv.toLinearEquiv_symm", "AlgEquiv.toLinearEquiv_toLinearMap", "AlgEquiv.toLinearEquiv_toOpposite", "AlgEquiv.toLinearMap_apply", "AlgEquiv.toLinearMap_injective", "AlgEquiv.toLinearMap_ofAlgHom", "AlgEquiv.toRingEquiv_eq_coe", "AlgEquiv.toRingEquiv_opOp", "AlgEquiv.toRingEquiv_symm", "AlgEquiv.toRingEquiv_toOpposite", "AlgEquiv.toRingEquiv_unop", "AlgEquiv.trans_apply", "AlgEquiv.trans_toLinearMap", "AlgEquiv.transfer_galois", "AlgEquiv.transfer_normal", "AlgHom.Finite.comp", "AlgHom.Finite.id", "AlgHom.Finite.of_comp_finite", "AlgHom.Finite.of_surjective", "AlgHom.FinitePresentation.comp", "AlgHom.FinitePresentation.id", "AlgHom.FinitePresentation.of_comp_finiteType", "AlgHom.FinitePresentation.of_finiteType", "AlgHom.FinitePresentation.of_surjective", "AlgHom.FiniteType.comp", "AlgHom.FiniteType.comp_surjective", "AlgHom.FiniteType.id", "AlgHom.adjoin_le_equalizer", "AlgHom.algebraicIndependent_iff", "AlgHom.apply_mem_spectrum", "AlgHom.bijective", "AlgHom.card", "AlgHom.card_of_powerBasis", "AlgHom.card_of_splits", "AlgHom.coe_codRestrict", "AlgHom.coe_coe", "AlgHom.coe_comp", "AlgHom.coe_fieldRange", "AlgHom.coe_fn_inj", "AlgHom.coe_fn_injective", "AlgHom.coe_id", "AlgHom.coe_ideal_map", "AlgHom.coe_ker", "AlgHom.coe_mapIntegralClosure", "AlgHom.coe_mk'", "AlgHom.coe_range", "AlgHom.coe_restrictScalars", "AlgHom.coe_restrictScalars'", "AlgHom.coe_toMonoidHom", "AlgHom.coe_toRingHom", "AlgHom.coe_to_nonUnitalAlgHom", "AlgHom.commutes", "AlgHom.comp_algebraMap", "AlgHom.comp_algebraMap_of_tower", "AlgHom.comp_apply", "AlgHom.comp_assoc", "AlgHom.comp_id", "AlgHom.comp_toRingHom", "AlgHom.ext", "AlgHom.ext_iff", "AlgHom.ext_of_adjoin_eq_top", "AlgHom.fieldRange_eq_map", "AlgHom.fieldRange_of_normal", "AlgHom.id_algebraCat_comp", "AlgHom.id_apply", "AlgHom.id_comp", "AlgHom.id_toRingHom", "AlgHom.injective_codRestrict", "AlgHom.isIntegrallyClosedIn", "AlgHom.ker_kerSquareLift", "AlgHom.liftNormal_commutes", "AlgHom.mapMatrix_comp", "AlgHom.mapMatrix_id", "AlgHom.map_add", "AlgHom.map_adjoin_singleton", "AlgHom.map_adjugate", "AlgHom.map_algebraMap", "AlgHom.map_coe_real_complex", "AlgHom.map_det", "AlgHom.map_fieldRange", "AlgHom.map_mul", "AlgHom.map_multiset_prod", "AlgHom.map_neg", "AlgHom.map_pow", "AlgHom.map_prod", "AlgHom.map_smul", "AlgHom.map_sub", "AlgHom.map_sum", "AlgHom.map_zero", "AlgHom.mem_equalizer", "AlgHom.mem_range", "AlgHom.mem_range_self", "AlgHom.mem_resolventSet_apply", "AlgHom.mk_coe", "AlgHom.norm_apply_le_self", "AlgHom.normal_bijective", "AlgHom.ofLinearMap_toLinearMap", "AlgHom.one_apply", "AlgHom.prod_fst_snd", "AlgHom.rangeRestrict_surjective", "AlgHom.range_comp", "AlgHom.restrictNormal_commutes", "AlgHom.restrictNormal_comp", "AlgHom.restrictScalars_apply", "AlgHom.restrictScalars_injective", "AlgHom.restrict_liftNormal", "AlgHom.snd_prod", "AlgHom.spectrum_apply_subset", "AlgHom.toContinuousLinearMap_norm", "AlgHom.toFun_eq_coe", "AlgHom.toLieHom_apply", "AlgHom.toLieHom_id", "AlgHom.toLieHom_injective", "AlgHom.toLinearMap_apply", "AlgHom.toLinearMap_fromOpposite", "AlgHom.toLinearMap_injective", "AlgHom.toLinearMap_toOpposite", "AlgHom.toNonUnitalAlgHom_eq_coe", "AlgHom.toRingHom_eq_coe", "AlgHom.toRingHom_fromOpposite", "AlgHom.toRingHom_toOpposite", "AlgHom.toRingHom_toRatAlgHom", "AlgHom.toRingHom_unop", "AlgHom.val_comp_codRestrict", "AlgHomClass.instStarAlgHomClass", "AlgHomClass.unitization_injective", "AlgHomClass.unitization_injective'", "Algebra.Etale.comp", "Algebra.Etale.of_isLocalization_Away", "Algebra.FinitePresentation.equiv", "Algebra.FinitePresentation.iff", "Algebra.FinitePresentation.iff_quotient_mvPolynomial'", "Algebra.FinitePresentation.ker_fG_of_surjective", "Algebra.FinitePresentation.ker_fg_of_mvPolynomial", "Algebra.FinitePresentation.mvPolynomial_of_finitePresentation", "Algebra.FinitePresentation.of_finiteType", "Algebra.FinitePresentation.of_restrict_scalars_finitePresentation", "Algebra.FinitePresentation.quotient", "Algebra.FinitePresentation.trans", "Algebra.FiniteType.baseChangeAux_surj", "Algebra.FiniteType.equiv", "Algebra.FiniteType.freeAlgebra", "Algebra.FiniteType.iff_quotient_freeAlgebra", "Algebra.FiniteType.iff_quotient_freeAlgebra'", "Algebra.FiniteType.iff_quotient_mvPolynomial", "Algebra.FiniteType.iff_quotient_mvPolynomial'", "Algebra.FiniteType.iff_quotient_mvPolynomial''", "Algebra.FiniteType.isNoetherianRing", "Algebra.FiniteType.mvPolynomial", "Algebra.FiniteType.of_restrictScalars_finiteType", "Algebra.FiniteType.of_surjective", "Algebra.FiniteType.polynomial", "Algebra.Flat.isBaseChange", "Algebra.FormallyEtale.comp", "Algebra.FormallyEtale.iff_unramified_and_smooth", "Algebra.FormallyEtale.localization_base", "Algebra.FormallyEtale.localization_map", "Algebra.FormallyEtale.of_equiv", "Algebra.FormallyEtale.of_isLocalization", "Algebra.FormallySmooth.comp", "Algebra.FormallySmooth.comp_liftOfSurjective", "Algebra.FormallySmooth.exists_lift", "Algebra.FormallySmooth.iff_split_surjection", "Algebra.FormallySmooth.liftOfSurjective_apply", "Algebra.FormallySmooth.localization_base", "Algebra.FormallySmooth.localization_map", "Algebra.FormallySmooth.mk_lift", "Algebra.FormallySmooth.of_equiv", "Algebra.FormallySmooth.of_isLocalization", "Algebra.FormallySmooth.of_split", "Algebra.FormallyUnramified.comp", "Algebra.FormallyUnramified.iff_subsingleton_kaehlerDifferential", "Algebra.FormallyUnramified.lift_unique", "Algebra.FormallyUnramified.lift_unique'", "Algebra.FormallyUnramified.lift_unique_of_ringHom", "Algebra.FormallyUnramified.localization_base", "Algebra.FormallyUnramified.localization_map", "Algebra.FormallyUnramified.of_comp", "Algebra.FormallyUnramified.of_equiv", "Algebra.Generators.Cotangent.ext", "Algebra.Generators.Cotangent.of_val", "Algebra.Generators.Cotangent.of_zero", "Algebra.Generators.Cotangent.smul_eq_zero_of_mem", "Algebra.Generators.Cotangent.val_add", "Algebra.Generators.Cotangent.val_of", "Algebra.Generators.Cotangent.val_smul", "Algebra.Generators.Cotangent.val_smul'", "Algebra.Generators.Cotangent.val_smul''", "Algebra.Generators.Cotangent.val_smul'''", "Algebra.Generators.Hom.algebraMap_toAlgHom", "Algebra.Generators.Hom.id_comp", "Algebra.Generators.Hom.toAlgHom_C", "Algebra.Generators.Hom.toAlgHom_X", "Algebra.Generators.aeval_val_\u03c3", "Algebra.Generators.algebraMap_apply", "Algebra.Generators.algebraMap_eq", "Algebra.Generators.algebraMap_surjective", "Algebra.Generators.ker_eq_ker_aeval_val", "Algebra.Generators.\u03c3_injective", "Algebra.Generators.\u03c3_smul", "Algebra.IsAlgebraic.algHomEquivAlgHomOfSplits_apply_apply", "Algebra.IsAlgebraic.algHom_bijective", "Algebra.IsAlgebraic.algHom_bijective\u2082", "Algebra.IsAlgebraic.bijective_of_isScalarTower'", "Algebra.IsAlgebraic.cardinal_mk_le_max", "Algebra.IsAlgebraic.cardinal_mk_le_sigma_polynomial", "Algebra.IsAlgebraic.isNormalClosure_iff", "Algebra.IsAlgebraic.isNormalClosure_normalClosure", "Algebra.IsAlgebraic.isPurelyInseparable_of_isSepClosed", "Algebra.IsAlgebraic.isSepClosed", "Algebra.IsAlgebraic.normalClosure_le_iSup_adjoin", "Algebra.IsAlgebraic.of_injective", "Algebra.IsAlgebraic.perfectField", "Algebra.IsAlgebraic.range_eval_eq_rootSet_minpoly", "Algebra.IsAlgebraic.range_eval_eq_rootSet_minpoly_of_splits", "Algebra.IsAlgebraic.tower_top_of_injective", "Algebra.IsAlgebraic.trans", "Algebra.IsIntegral.finite", "Algebra.IsIntegral.isField_iff_isField", "Algebra.IsIntegral.of_injective", "Algebra.IsIntegral.trans", "Algebra.IsPushout.algHom_ext", "Algebra.IsPushout.symm", "Algebra.PowerBasis.norm_gen_eq_coeff_zero_minpoly", "Algebra.PowerBasis.norm_gen_eq_prod_roots", "Algebra.Presentation.aeval_val_relation", "Algebra.Presentation.finitePresentation_of_isFinite", "Algebra.Presentation.ideal_fg_of_isFinite", "Algebra.Presentation.localizationAway_dimension_zero", "Algebra.Presentation.quotientEquiv_symm", "Algebra.Presentation.span_range_relation_eq_ker_baseChange", "Algebra.Presentation.span_range_relation_eq_ker_localizationAway", "Algebra.Smooth.comp", "Algebra.Smooth.of_equiv", "Algebra.Smooth.of_isLocalization_Away", "Algebra.TensorProduct.adjoin_tmul_eq_top", "Algebra.TensorProduct.algEquivOfLinearEquivTensorProduct_apply", "Algebra.TensorProduct.algEquivOfLinearEquivTripleTensorProduct_apply", "Algebra.TensorProduct.algHomOfLinearMapTensorProduct_apply", "Algebra.TensorProduct.algebraMap_apply", "Algebra.TensorProduct.algebraMap_apply'", "Algebra.TensorProduct.assoc_aux_2", "Algebra.TensorProduct.assoc_tmul", "Algebra.TensorProduct.basisAux_map_smul", "Algebra.TensorProduct.basisAux_tmul", "Algebra.TensorProduct.basis_apply", "Algebra.TensorProduct.basis_repr_symm_apply", "Algebra.TensorProduct.basis_repr_tmul", "Algebra.TensorProduct.comm_symm", "Algebra.TensorProduct.comm_tmul", "Algebra.TensorProduct.comm_toLinearEquiv", "Algebra.TensorProduct.congr_apply", "Algebra.TensorProduct.congr_refl", "Algebra.TensorProduct.congr_symm", "Algebra.TensorProduct.congr_toLinearEquiv", "Algebra.TensorProduct.congr_trans", "Algebra.TensorProduct.ext", "Algebra.TensorProduct.ext'", "Algebra.TensorProduct.includeLeftRingHom_comp_algebraMap", "Algebra.TensorProduct.includeLeft_apply", "Algebra.TensorProduct.includeRight_apply", "Algebra.TensorProduct.intCast_def", "Algebra.TensorProduct.intCast_def'", "Algebra.TensorProduct.lTensor_ker", "Algebra.TensorProduct.lid_symm_apply", "Algebra.TensorProduct.lid_tmul", "Algebra.TensorProduct.lid_toLinearEquiv", "Algebra.TensorProduct.lift_includeLeft_includeRight", "Algebra.TensorProduct.lmul'_apply_tmul", "Algebra.TensorProduct.lmul'_comp_includeLeft", "Algebra.TensorProduct.lmul'_comp_includeRight", "Algebra.TensorProduct.lmul'_toLinearMap", "Algebra.TensorProduct.map_comp", "Algebra.TensorProduct.map_comp_includeLeft", "Algebra.TensorProduct.map_id", "Algebra.TensorProduct.map_ker", "Algebra.TensorProduct.map_range", "Algebra.TensorProduct.map_tmul", "Algebra.TensorProduct.mul_apply", "Algebra.TensorProduct.mul_assoc", "Algebra.TensorProduct.mul_one", "Algebra.TensorProduct.natCast_def", "Algebra.TensorProduct.natCast_def'", "Algebra.TensorProduct.one_def", "Algebra.TensorProduct.one_mul", "Algebra.TensorProduct.opAlgEquiv_symm_apply", "Algebra.TensorProduct.productMap_apply_tmul", "Algebra.TensorProduct.productMap_eq_comp_map", "Algebra.TensorProduct.productMap_left_apply", "Algebra.TensorProduct.productMap_range", "Algebra.TensorProduct.productMap_right", "Algebra.TensorProduct.productMap_right_apply", "Algebra.TensorProduct.rTensor_ker", "Algebra.TensorProduct.rid_symm_apply", "Algebra.TensorProduct.rid_tmul", "Algebra.TensorProduct.rid_toLinearEquiv", "Algebra.TensorProduct.tmul_mul_tmul", "Algebra.TensorProduct.tmul_pow", "Algebra.Unramified.comp", "Algebra.Unramified.of_equiv", "Algebra.Unramified.of_isLocalization_Away", "Algebra.adjoin.powerBasis'_gen", "Algebra.adjoin.powerBasis'_minpoly_gen", "Algebra.adjoin_adjoin_coe_preimage", "Algebra.adjoin_adjoin_of_tower", "Algebra.adjoin_algebraMap_image_union_eq_adjoin_adjoin", "Algebra.adjoin_empty", "Algebra.adjoin_eq", "Algebra.adjoin_eq_of_le", "Algebra.adjoin_eq_range", "Algebra.adjoin_eq_range_freeAlgebra_lift", "Algebra.adjoin_eq_ring_closure", "Algebra.adjoin_eq_span", "Algebra.adjoin_iUnion", "Algebra.adjoin_image", "Algebra.adjoin_induction", "Algebra.adjoin_induction'", "Algebra.adjoin_induction''", "Algebra.adjoin_induction\u2082", "Algebra.adjoin_inl_union_inr_eq_prod", "Algebra.adjoin_le", "Algebra.adjoin_le_iff", "Algebra.adjoin_mono", "Algebra.adjoin_nat", "Algebra.adjoin_nonUnitalSubalgebra_eq_span", "Algebra.adjoin_prod_le", "Algebra.adjoin_range_eq_range_aeval", "Algebra.adjoin_res_eq_adjoin_res", "Algebra.adjoin_restrictScalars", "Algebra.adjoin_root_eq_top_of_isSplittingField", "Algebra.adjoin_singleton_eq_range_aeval", "Algebra.adjoin_singleton_one", "Algebra.adjoin_span", "Algebra.adjoin_toSubmodule_le", "Algebra.adjoin_top", "Algebra.adjoin_union", "Algebra.adjoin_union_coe_submodule", "Algebra.adjoin_union_eq_adjoin_adjoin", "Algebra.adjoin_univ", "Algebra.algebraMap_eq_smul_one", "Algebra.algebraMap_eq_smul_one'", "Algebra.algebraMap_intNorm", "Algebra.algebraMap_intNorm_fractionRing", "Algebra.algebraMap_intNorm_of_isGalois", "Algebra.algebraMap_intTrace", "Algebra.algebraMap_intTrace_fractionRing", "Algebra.algebraMap_ofSubsemiring_apply", "Algebra.algebra_ext", "Algebra.bijective_algebraMap_iff", "Algebra.charP_iff", "Algebra.coe_algebraMap_ofSubring", "Algebra.coe_algebraMap_ofSubsemiring", "Algebra.coe_bot", "Algebra.coe_iInf", "Algebra.coe_inf", "Algebra.coe_linearMap", "Algebra.coe_lmul_eq_mul", "Algebra.coe_sInf", "Algebra.comap_top", "Algebra.commute_algebraMap_left", "Algebra.commute_algebraMap_right", "Algebra.commute_of_mem_adjoin_of_forall_mem_commute", "Algebra.commute_of_mem_adjoin_singleton_of_commute", "Algebra.commutes", "Algebra.discr_def", "Algebra.discr_eq_det_embeddingsMatrixReindex_pow_two", "Algebra.discr_eq_discr", "Algebra.discr_eq_discr_of_algEquiv", "Algebra.discr_eq_discr_of_toMatrix_coeff_isIntegral", "Algebra.discr_isIntegral", "Algebra.discr_isUnit_of_basis", "Algebra.discr_localizationLocalization", "Algebra.discr_mul_isIntegral_mem_adjoin", "Algebra.discr_not_zero_of_basis", "Algebra.discr_of_matrix_mulVec", "Algebra.discr_of_matrix_vecMul", "Algebra.discr_powerBasis_eq_norm", "Algebra.discr_powerBasis_eq_prod", "Algebra.discr_powerBasis_eq_prod''", "Algebra.discr_reindex", "Algebra.discr_zero_of_not_linearIndependent", "Algebra.embeddingsMatrixReindex_eq_vandermonde", "Algebra.embeddingsMatrix_apply", "Algebra.eq_top_iff", "Algebra.ext_id", "Algebra.fg_trans", "Algebra.fg_trans'", "Algebra.iInf_toSubmodule", "Algebra.id.map_eq_id", "Algebra.id.map_eq_self", "Algebra.id.smul_eq_mul", "Algebra.inf_toSubmodule", "Algebra.inf_toSubsemiring", "Algebra.intNorm_eq_norm", "Algebra.intNorm_eq_of_isLocalization", "Algebra.intNorm_eq_zero", "Algebra.intNorm_zero", "Algebra.intTrace_eq_of_isLocalization", "Algebra.isAlgebraic_def", "Algebra.isAlgebraic_iff", "Algebra.isAlgebraic_iff_isIntegral", "Algebra.isIntegral_def", "Algebra.isIntegral_norm", "Algebra.isIntegral_of_surjective", "Algebra.isIntegral_sup", "Algebra.isIntegral_trace", "Algebra.leftMulMatrix_apply", "Algebra.leftMulMatrix_complex", "Algebra.leftMulMatrix_injective", "Algebra.leftMulMatrix_mulVec_repr", "Algebra.left_comm", "Algebra.lift_algHom_comp_left", "Algebra.lift_algHom_comp_right", "Algebra.lift_rank_eq_of_equiv_equiv", "Algebra.lift_rank_le_of_injective_injective", "Algebra.lift_rank_le_of_surjective_injective", "Algebra.linearMap_apply", "Algebra.lmul_algebraMap", "Algebra.lmul_injective", "Algebra.lmul_isUnit_iff", "Algebra.lsmul_coe", "Algebra.lsmul_injective", "Algebra.map_leftMulMatrix_localization", "Algebra.map_sup", "Algebra.map_top", "Algebra.mem_adjoin_of_map_mul", "Algebra.mem_algebraMapSubmonoid_of_mem", "Algebra.mem_bot", "Algebra.mem_iInf", "Algebra.mem_inf", "Algebra.mem_sInf", "Algebra.mem_sup_left", "Algebra.mem_top", "Algebra.mul_mem_sup", "Algebra.mul_smul_comm", "Algebra.mul_sub_algebraMap_commutes", "Algebra.mul_sub_algebraMap_pow_commutes", "Algebra.norm_algebraMap", "Algebra.norm_algebraMap_of_basis", "Algebra.norm_apply", "Algebra.norm_complex_apply", "Algebra.norm_complex_eq", "Algebra.norm_eq_iff", "Algebra.norm_eq_matrix_det", "Algebra.norm_eq_norm_adjoin", "Algebra.norm_eq_of_algEquiv", "Algebra.norm_eq_of_equiv_equiv", "Algebra.norm_eq_of_ringEquiv", "Algebra.norm_eq_one_of_not_exists_basis", "Algebra.norm_eq_one_of_not_module_finite", "Algebra.norm_eq_prod_automorphisms", "Algebra.norm_eq_prod_embeddings", "Algebra.norm_eq_prod_embeddings_gen", "Algebra.norm_eq_prod_roots", "Algebra.norm_eq_zero_iff", "Algebra.norm_eq_zero_iff_of_basis", "Algebra.norm_localization", "Algebra.norm_norm", "Algebra.norm_one_add_smul", "Algebra.norm_zero", "Algebra.pow_smul_mem_of_smul_subset_of_mem_adjoin", "Algebra.prod_embeddings_eq_finrank_pow", "Algebra.pushoutDesc_left", "Algebra.pushoutDesc_right", "Algebra.range_id", "Algebra.range_top_iff_surjective", "Algebra.rank_eq_of_equiv_equiv", "Algebra.rank_le_of_injective_injective", "Algebra.rank_le_of_surjective_injective", "Algebra.restrictScalars_adjoin", "Algebra.restrictScalars_adjoin_of_algEquiv", "Algebra.right_comm", "Algebra.ringChar_eq", "Algebra.sInf_toSubmodule", "Algebra.self_mem_elementalAlgebra", "Algebra.smul_def", "Algebra.smul_leftMulMatrix", "Algebra.smul_leftMulMatrix_algebraMap", "Algebra.smul_leftMulMatrix_algebraMap_ne", "Algebra.smul_units_def", "Algebra.subset_adjoin", "Algebra.toMatrix_lmul'", "Algebra.toMatrix_lmul_eq", "Algebra.toMatrix_lsmul", "Algebra.toSubmodule_eq_top", "Algebra.toSubring_eq_top", "Algebra.toSubsemiring_eq_top", "Algebra.top_toSubmodule", "Algebra.traceForm_apply", "Algebra.traceForm_toMatrix", "Algebra.traceForm_toMatrix_powerBasis", "Algebra.traceMatrix_apply", "Algebra.traceMatrix_eq_embeddingsMatrixReindex_mul_trans", "Algebra.traceMatrix_eq_embeddingsMatrix_mul_trans", "Algebra.traceMatrix_localizationLocalization", "Algebra.traceMatrix_of_basis", "Algebra.traceMatrix_of_basis_mulVec", "Algebra.traceMatrix_of_matrix_mulVec", "Algebra.traceMatrix_of_matrix_vecMul", "Algebra.traceMatrix_reindex", "Algebra.trace_algebraMap", "Algebra.trace_algebraMap_of_basis", "Algebra.trace_apply", "Algebra.trace_comp_trace", "Algebra.trace_comp_trace_of_basis", "Algebra.trace_complex_apply", "Algebra.trace_eq_matrix_trace", "Algebra.trace_eq_of_algEquiv", "Algebra.trace_eq_of_equiv_equiv", "Algebra.trace_eq_of_ringEquiv", "Algebra.trace_eq_zero_of_not_exists_basis", "Algebra.trace_localization", "Algebra.trace_ne_zero", "Algebra.trace_prod", "Algebra.trace_prod_apply", "Algebra.trace_surjective", "Algebra.trace_trace", "Algebra.trace_trace_of_basis", "AlgebraCat.coe_of", "AlgebraCat.forget\u2082_map_associator_inv", "AlgebraCat.forget\u2082_module_map", "AlgebraCat.forget\u2082_module_obj", "AlgebraCat.hasLimitsOfSize", "AlgebraCat.id_apply", "AlgebraCat.ofHom_apply", "Algebraic.aleph0_le_cardinal_mk_of_charZero", "Algebraic.cardinal_mk_le_max", "Algebraic.cardinal_mk_le_mul", "Algebraic.cardinal_mk_lift_le_max", "Algebraic.cardinal_mk_lift_le_mul", "Algebraic.cardinal_mk_of_countable_of_charZero", "Algebraic.cardinal_mk_of_infinite", "Algebraic.countable", "Algebraic.infinite_of_charZero", "AlgebraicClosure.AdjoinMonic.algebraMap", "AlgebraicClosure.AdjoinMonic.exists_root", "AlgebraicClosure.AdjoinMonic.isIntegral", "AlgebraicClosure.Step.isIntegral", "AlgebraicClosure.Step.succ", "AlgebraicClosure.coe_toStepOfLE", "AlgebraicClosure.le_maxIdeal", "AlgebraicClosure.spanEval_ne_top", "AlgebraicClosure.toSplittingField_evalXSelf", "AlgebraicClosure.toStepOfLE'.succ", "AlgebraicClosure.toStepOfLE.succ", "AlgebraicClosureAux.exists_ofStep", "AlgebraicClosureAux.exists_root", "AlgebraicClosureAux.instIsAlgClosed", "AlgebraicClosureAux.isAlgClosure", "AlgebraicClosureAux.ofStep_succ", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.affine_openCover_TFAE", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.affine_openCover_iff", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.affine_target_iff", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.diagonal_affine_openCover_TFAE", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.stableUnderBaseChange", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.targetAffineLocally_isLocal", "AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal.targetAffineLocally_pullback_fst_of_right_of_stableUnderBaseChange", "AlgebraicGeometry.AffineTargetMorphismProperty.diagonal_of_targetAffineLocally", "AlgebraicGeometry.AffineTargetMorphismProperty.diagonal_respectsIso", "AlgebraicGeometry.AffineTargetMorphismProperty.isLocalOfOpenCoverImply", "AlgebraicGeometry.AffineTargetMorphismProperty.respectsIso_mk", "AlgebraicGeometry.CommRingCat.id_apply", "AlgebraicGeometry.IsAffineOpen.Spec\u0393Identity_hom_app_fromSpec", "AlgebraicGeometry.IsAffineOpen.appLE_eq_away_map", "AlgebraicGeometry.IsAffineOpen.basicOpen", "AlgebraicGeometry.IsAffineOpen.basicOpen_basicOpen_is_basicOpen", "AlgebraicGeometry.IsAffineOpen.basicOpen_fromSpec_app", "AlgebraicGeometry.IsAffineOpen.basicOpen_union_eq_self_iff", "AlgebraicGeometry.IsAffineOpen.exists_basicOpen_le", "AlgebraicGeometry.IsAffineOpen.fromSpec_app_self", "AlgebraicGeometry.IsAffineOpen.fromSpec_image_basicOpen", "AlgebraicGeometry.IsAffineOpen.fromSpec_preimage_basicOpen", "AlgebraicGeometry.IsAffineOpen.fromSpec_preimage_basicOpen'", "AlgebraicGeometry.IsAffineOpen.fromSpec_preimage_self", "AlgebraicGeometry.IsAffineOpen.fromSpec_primeIdealOf", "AlgebraicGeometry.IsAffineOpen.image_of_isOpenImmersion", "AlgebraicGeometry.IsAffineOpen.isCompact", "AlgebraicGeometry.IsAffineOpen.isLocalization_basicOpen", "AlgebraicGeometry.IsAffineOpen.isLocalization_of_eq_basicOpen", "AlgebraicGeometry.IsAffineOpen.isLocalization_stalk", "AlgebraicGeometry.IsAffineOpen.isLocalization_stalk'", "AlgebraicGeometry.IsAffineOpen.isQuasiSeparated", "AlgebraicGeometry.IsAffineOpen.opensRange_fromSpec", "AlgebraicGeometry.IsAffineOpen.preimage_of_isIso", "AlgebraicGeometry.IsAffineOpen.primeIdealOf_genericPoint", "AlgebraicGeometry.IsAffineOpen.range_fromSpec", "AlgebraicGeometry.IsAffineOpen.self_le_basicOpen_union_iff", "AlgebraicGeometry.IsAffineOpen.\u03b9Opens_basicOpen_preimage", "AlgebraicGeometry.IsClosedImmersion.closedEmbedding", "AlgebraicGeometry.IsClosedImmersion.of_comp", "AlgebraicGeometry.IsClosedImmersion.spec_of_surjective", "AlgebraicGeometry.IsClosedImmersion.surjective_stalkMap", "AlgebraicGeometry.IsOpenImmersion.app_eq_invApp_app_of_comp_eq", "AlgebraicGeometry.IsOpenImmersion.app_eq_invApp_app_of_comp_eq_aux", "AlgebraicGeometry.IsOpenImmersion.isOpen_range", "AlgebraicGeometry.IsOpenImmersion.isoOfRangeEq_inv_fac", "AlgebraicGeometry.IsOpenImmersion.lift_app", "AlgebraicGeometry.IsOpenImmersion.lift_uniq", "AlgebraicGeometry.IsOpenImmersion.opensRange_pullback_snd_of_left", "AlgebraicGeometry.IsOpenImmersion.range_pullback_fst_of_right", "AlgebraicGeometry.IsOpenImmersion.range_pullback_snd_of_left", "AlgebraicGeometry.IsOpenImmersion.range_pullback_to_base_of_left", "AlgebraicGeometry.IsOpenImmersion.range_pullback_to_base_of_right", "AlgebraicGeometry.IsSeparated.respectsIso", "AlgebraicGeometry.LocallyOfFiniteType.affine_openCover_iff", "AlgebraicGeometry.LocallyOfFiniteType.openCover_iff", "AlgebraicGeometry.LocallyRingedSpace.GlueData.\u03b9_isoSheafedSpace_inv", "AlgebraicGeometry.LocallyRingedSpace.GlueData.\u03b9_jointly_surjective", "AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open", "AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_preimage", "AlgebraicGeometry.LocallyRingedSpace.Hom.ext'", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.invApp_app", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.inv_invApp", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.inv_naturality", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.lift_fac", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.lift_range", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.lift_uniq", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.ofRestrict_invApp", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.of_stalk_iso", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.pullback_snd_isIso_of_range_subset", "AlgebraicGeometry.LocallyRingedSpace.IsOpenImmersion.to_iso", "AlgebraicGeometry.LocallyRingedSpace.basicOpen_zero", "AlgebraicGeometry.LocallyRingedSpace.comp_ring_hom_ext", "AlgebraicGeometry.LocallyRingedSpace.comp_val", "AlgebraicGeometry.LocallyRingedSpace.comp_val_c_app", "AlgebraicGeometry.LocallyRingedSpace.id_val'", "AlgebraicGeometry.LocallyRingedSpace.isLocalRingHom_stalkMap_congr", "AlgebraicGeometry.LocallyRingedSpace.isUnit_res_to\u0393SpecMapBasicOpen", "AlgebraicGeometry.LocallyRingedSpace.not_mem_prime_iff_unit_in_stalk", "AlgebraicGeometry.LocallyRingedSpace.preimage_basicOpen", "AlgebraicGeometry.LocallyRingedSpace.toStalk_stalkMap_to\u0393Spec", "AlgebraicGeometry.LocallyRingedSpace.to\u0393SpecCApp_iff", "AlgebraicGeometry.LocallyRingedSpace.to\u0393SpecCApp_spec", "AlgebraicGeometry.LocallyRingedSpace.to\u0393SpecMapBasicOpen_eq", "AlgebraicGeometry.LocallyRingedSpace.to\u0393SpecSheafedSpace_app_eq", "AlgebraicGeometry.LocallyRingedSpace.to\u0393Spec_continuous", "AlgebraicGeometry.LocallyRingedSpace.to\u0393Spec_preim_basicOpen_eq", "AlgebraicGeometry.LocallyRingedSpace.\u0393_Spec_left_triangle", "AlgebraicGeometry.LocallyRingedSpace.\u0393_map", "AlgebraicGeometry.LocallyRingedSpace.\u0393_map_op", "AlgebraicGeometry.LocallyRingedSpace.\u0393_obj_op", "AlgebraicGeometry.MorphismProperty.topologically_isStableUnderComposition", "AlgebraicGeometry.MorphismProperty.topologically_iso_le", "AlgebraicGeometry.MorphismProperty.topologically_propertyIsLocalAtTarget", "AlgebraicGeometry.Polynomial.comap_C_mem_imageOfDf", "AlgebraicGeometry.Polynomial.imageOfDf_eq_comap_C_compl_zeroLocus", "AlgebraicGeometry.Polynomial.isOpenMap_comap_C", "AlgebraicGeometry.Polynomial.isOpen_imageOfDf", "AlgebraicGeometry.PresheafedSpace.ColimitCoconeIsColimit.desc_c_naturality", "AlgebraicGeometry.PresheafedSpace.ColimitCoconeIsColimit.desc_fac", "AlgebraicGeometry.PresheafedSpace.GlueData.f_invApp_f_app", "AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app", "AlgebraicGeometry.PresheafedSpace.GlueData.opensImagePreimageMap_app'", "AlgebraicGeometry.PresheafedSpace.GlueData.pullback_base", "AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app", "AlgebraicGeometry.PresheafedSpace.GlueData.snd_invApp_t_app'", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03b9InvApp_\u03c0", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03b9_image_preimage_eq", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03b9_jointly_surjective", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03b9_openEmbedding", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03c0_\u03b9InvApp_eq_id", "AlgebraicGeometry.PresheafedSpace.GlueData.\u03c0_\u03b9InvApp_\u03c0", "AlgebraicGeometry.PresheafedSpace.Hom.ext", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_invApp", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.app_inv_app'", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.invApp_app", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.inv_invApp", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.inv_naturality", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isIso_of_subset", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict_inv_ofRestrict", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.lift_fac", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.lift_uniq", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.locallyRingedSpace_toLocallyRingedSpace", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.ofRestrict_invApp", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullbackConeOfLeftLift_fst", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullbackConeOfLeftLift_snd", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullback_cone_of_left_condition", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.pullback_snd_isIso_of_range_subset", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.scheme_eq_of_locallyRingedSpace_eq", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.scheme_toScheme", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.sheafedSpace_toSheafedSpace", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toLocallyRingedSpace_toSheafedSpace", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpaceHom_base", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.to_iso", "AlgebraicGeometry.PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_hom_\u03c0", "AlgebraicGeometry.PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_inv_\u03b9_app", "AlgebraicGeometry.PresheafedSpace.colimit_presheaf", "AlgebraicGeometry.PresheafedSpace.comp_c_app", "AlgebraicGeometry.PresheafedSpace.congr_app", "AlgebraicGeometry.PresheafedSpace.ext", "AlgebraicGeometry.PresheafedSpace.hext", "AlgebraicGeometry.PresheafedSpace.id_base", "AlgebraicGeometry.PresheafedSpace.id_c", "AlgebraicGeometry.PresheafedSpace.id_c_app", "AlgebraicGeometry.PresheafedSpace.map_comp_c_app", "AlgebraicGeometry.PresheafedSpace.map_id_c_app", "AlgebraicGeometry.PresheafedSpace.mk_coe", "AlgebraicGeometry.PresheafedSpace.ofRestrict_top_c", "AlgebraicGeometry.PresheafedSpace.restrictStalkIso_hom_eq_germ", "AlgebraicGeometry.PresheafedSpace.restrictStalkIso_inv_eq_germ", "AlgebraicGeometry.PresheafedSpace.restrictStalkIso_inv_eq_ofRestrict", "AlgebraicGeometry.PresheafedSpace.restrict_top_presheaf", "AlgebraicGeometry.PresheafedSpace.stalkMap.comp", "AlgebraicGeometry.PresheafedSpace.stalkMap.congr", "AlgebraicGeometry.PresheafedSpace.stalkMap.congr_hom", "AlgebraicGeometry.PresheafedSpace.stalkMap.congr_point", "AlgebraicGeometry.PresheafedSpace.stalkMap.id", "AlgebraicGeometry.PresheafedSpace.stalkMap.stalkSpecializes_stalkMap", "AlgebraicGeometry.PresheafedSpace.stalkMap_germ", "AlgebraicGeometry.Proj.ext", "AlgebraicGeometry.Proj.mul_apply", "AlgebraicGeometry.Proj.one_apply", "AlgebraicGeometry.Proj.res_apply", "AlgebraicGeometry.Proj.stalkIso'_germ", "AlgebraicGeometry.Proj.stalkIso'_symm_mk", "AlgebraicGeometry.Proj.sub_apply", "AlgebraicGeometry.Proj.zero_apply", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.add_mem", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.asIdeal.homogeneous", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.asIdeal.prime", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.denom_not_mem", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.smul_mem", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.zero_mem", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.mem_carrier_iff", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.mem_carrier_iff'", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.mem_carrier_iff_of_mem", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.mem_carrier_iff_of_mem_mul", "AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.num_mem_carrier_iff", "AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.isPrime_carrier", "AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.mk_mem_carrier", "AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.preimage_basicOpen", "AlgebraicGeometry.ProjIsoSpecTopComponent.fromSpec_toSpec", "AlgebraicGeometry.ProjIsoSpecTopComponent.toSpec.image_basicOpen_eq_basicOpen", "AlgebraicGeometry.ProjIsoSpecTopComponent.toSpec_bijective", "AlgebraicGeometry.ProjIsoSpecTopComponent.toSpec_fromSpec", "AlgebraicGeometry.ProjIsoSpecTopComponent.toSpec_injective", "AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_germ", "AlgebraicGeometry.ProjectiveSpectrum.Proj.awayTo\u0393_\u0393ToStalk", "AlgebraicGeometry.ProjectiveSpectrum.Proj.isIso_toSpec", "AlgebraicGeometry.ProjectiveSpectrum.Proj.isLocalization_atPrime", "AlgebraicGeometry.ProjectiveSpectrum.Proj.mk_mem_toSpec_base_apply", "AlgebraicGeometry.ProjectiveSpectrum.Proj.stalkMap_toSpec", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toOpen_toSpec_val_c_app", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_apply_eq", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_apply_eq_comap", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_isIso", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_preimage_basicOpen", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toStalk_specStalkEquiv", "AlgebraicGeometry.ProjectiveSpectrum.Proj.toStalk_stalkMap_toSpec", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.add_mem'", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.mul_mem'", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.neg_mem'", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.one_mem'", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.SectionSubring.zero_mem'", "AlgebraicGeometry.PropertyIsLocalAtTarget.openCover_TFAE", "AlgebraicGeometry.PropertyIsLocalAtTarget.openCover_iff", "AlgebraicGeometry.QuasiCompact.affineProperty_isLocal", "AlgebraicGeometry.QuasiCompact.affineProperty_stableUnderBaseChange", "AlgebraicGeometry.QuasiCompact.affineProperty_toProperty", "AlgebraicGeometry.QuasiSeparated.affineProperty_isLocal", "AlgebraicGeometry.QuasiSeparated.affine_openCover_TFAE", "AlgebraicGeometry.QuasiSeparated.affine_openCover_iff", "AlgebraicGeometry.QuasiSeparated.isLocalAtTarget", "AlgebraicGeometry.QuasiSeparated.openCover_TFAE", "AlgebraicGeometry.QuasiSeparated.openCover_iff", "AlgebraicGeometry.RingedSpace.basicOpen_mul", "AlgebraicGeometry.RingedSpace.basicOpen_of_isUnit", "AlgebraicGeometry.RingedSpace.basicOpen_res", "AlgebraicGeometry.RingedSpace.basicOpen_res_eq", "AlgebraicGeometry.RingedSpace.isUnit_of_isUnit_germ", "AlgebraicGeometry.RingedSpace.isUnit_res_basicOpen", "AlgebraicGeometry.RingedSpace.isUnit_res_of_isUnit_germ", "AlgebraicGeometry.RingedSpace.mem_basicOpen", "AlgebraicGeometry.RingedSpace.mem_top_basicOpen", "AlgebraicGeometry.Scheme.GlueData.glue_condition", "AlgebraicGeometry.Scheme.GlueData.isOpen_iff", "AlgebraicGeometry.Scheme.GlueData.\u03b9_eq_iff", "AlgebraicGeometry.Scheme.GlueData.\u03b9_isoCarrier_inv", "AlgebraicGeometry.Scheme.GlueData.\u03b9_isoLocallyRingedSpace_inv", "AlgebraicGeometry.Scheme.Hom.appLE_map", "AlgebraicGeometry.Scheme.Hom.appLE_map'", "AlgebraicGeometry.Scheme.Hom.app_eq_appLE", "AlgebraicGeometry.Scheme.Hom.app_invApp", "AlgebraicGeometry.Scheme.Hom.app_invApp'", "AlgebraicGeometry.Scheme.Hom.invApp_app", "AlgebraicGeometry.Scheme.Hom.invApp_naturality", "AlgebraicGeometry.Scheme.Hom.inv_invApp", "AlgebraicGeometry.Scheme.Hom.isAffineOpen_iff_of_isOpenImmersion", "AlgebraicGeometry.Scheme.Hom.map_appLE", "AlgebraicGeometry.Scheme.Hom.map_appLE'", "AlgebraicGeometry.Scheme.Hom.naturality", "AlgebraicGeometry.Scheme.OpenCover.comp_idx_apply", "AlgebraicGeometry.Scheme.OpenCover.compactSpace", "AlgebraicGeometry.Scheme.OpenCover.fromGlued_injective", "AlgebraicGeometry.Scheme.OpenCover.fromGlued_openEmbedding", "AlgebraicGeometry.Scheme.OpenCover.fromGlued_open_map", "AlgebraicGeometry.Scheme.OpenCover.gluedCoverT'_snd_fst", "AlgebraicGeometry.Scheme.OpenCover.gluedCoverT'_snd_snd", "AlgebraicGeometry.Scheme.OpenCover.glued_cover_cocycle", "AlgebraicGeometry.Scheme.OpenCover.glued_cover_cocycle_fst", "AlgebraicGeometry.Scheme.OpenCover.glued_cover_cocycle_snd", "AlgebraicGeometry.Scheme.OpenCover.hom_ext", "AlgebraicGeometry.Scheme.OpenCover.iSup_opensRange", "AlgebraicGeometry.Scheme.OpenCover.iUnion_range", "AlgebraicGeometry.Scheme.OpenCover.id_idx_apply", "AlgebraicGeometry.Scheme.OpenCover.\u03b9_glueMorphisms", "AlgebraicGeometry.Scheme.Pullback.affine_affine_hasPullback", "AlgebraicGeometry.Scheme.Pullback.cocycle", "AlgebraicGeometry.Scheme.Pullback.cocycle_fst_fst_fst", "AlgebraicGeometry.Scheme.Pullback.cocycle_fst_snd", "AlgebraicGeometry.Scheme.Pullback.cocycle_snd_fst_fst", "AlgebraicGeometry.Scheme.Pullback.cocycle_snd_fst_snd", "AlgebraicGeometry.Scheme.Pullback.cocycle_snd_snd", "AlgebraicGeometry.Scheme.Pullback.gluedLiftPullbackMap_fst", "AlgebraicGeometry.Scheme.Pullback.gluedLift_p1", "AlgebraicGeometry.Scheme.Pullback.gluedLift_p2", "AlgebraicGeometry.Scheme.Pullback.hasPullback_of_cover", "AlgebraicGeometry.Scheme.Pullback.lift_comp_\u03b9", "AlgebraicGeometry.Scheme.Pullback.p_comm", "AlgebraicGeometry.Scheme.Pullback.pullbackFst\u03b9ToV_fst", "AlgebraicGeometry.Scheme.Pullback.pullbackFst\u03b9ToV_snd", "AlgebraicGeometry.Scheme.Pullback.pullbackP1Iso_hom_fst", "AlgebraicGeometry.Scheme.Pullback.pullbackP1Iso_hom_snd", "AlgebraicGeometry.Scheme.Pullback.pullbackP1Iso_hom_\u03b9", "AlgebraicGeometry.Scheme.Pullback.pullbackP1Iso_inv_fst", "AlgebraicGeometry.Scheme.Pullback.pullbackP1Iso_inv_snd", "AlgebraicGeometry.Scheme.Pullback.t'_fst_fst_fst", "AlgebraicGeometry.Scheme.Pullback.t'_fst_fst_snd", "AlgebraicGeometry.Scheme.Pullback.t'_fst_snd", "AlgebraicGeometry.Scheme.Pullback.t'_snd_fst_fst", "AlgebraicGeometry.Scheme.Pullback.t'_snd_fst_snd", "AlgebraicGeometry.Scheme.Pullback.t'_snd_snd", "AlgebraicGeometry.Scheme.Pullback.t_fst_fst", "AlgebraicGeometry.Scheme.Pullback.t_fst_snd", "AlgebraicGeometry.Scheme.Pullback.t_id", "AlgebraicGeometry.Scheme.Pullback.t_snd", "AlgebraicGeometry.Scheme.Spec_map_presheaf_map_eqToHom", "AlgebraicGeometry.Scheme.Spec\u0393Identity_hom_app", "AlgebraicGeometry.Scheme.Spec\u0393Identity_inv_app", "AlgebraicGeometry.Scheme.affineBasisCover_is_basis", "AlgebraicGeometry.Scheme.affineBasisCover_map_range", "AlgebraicGeometry.Scheme.appLE_comp_appLE", "AlgebraicGeometry.Scheme.app_eq", "AlgebraicGeometry.Scheme.basicOpen_le", "AlgebraicGeometry.Scheme.basicOpen_mul", "AlgebraicGeometry.Scheme.basicOpen_res", "AlgebraicGeometry.Scheme.basicOpen_res_eq", "AlgebraicGeometry.Scheme.basicOpen_restrict", "AlgebraicGeometry.Scheme.basicOpen_zero", "AlgebraicGeometry.Scheme.comp_app", "AlgebraicGeometry.Scheme.comp_appLE", "AlgebraicGeometry.Scheme.comp_coeBase", "AlgebraicGeometry.Scheme.comp_val", "AlgebraicGeometry.Scheme.comp_val_base", "AlgebraicGeometry.Scheme.congr_app", "AlgebraicGeometry.Scheme.empty_ext", "AlgebraicGeometry.Scheme.eq_emptyTo", "AlgebraicGeometry.Scheme.exists_affine_mem_range_and_range_subset", "AlgebraicGeometry.Scheme.germToFunctionField_injective", "AlgebraicGeometry.Scheme.id_val_base", "AlgebraicGeometry.Scheme.image_basicOpen", "AlgebraicGeometry.Scheme.inv_app", "AlgebraicGeometry.Scheme.inv_app_top", "AlgebraicGeometry.Scheme.map_PrimeSpectrum_basicOpen_of_affine", "AlgebraicGeometry.Scheme.map_basicOpen", "AlgebraicGeometry.Scheme.map_basicOpen'", "AlgebraicGeometry.Scheme.map_basicOpen_map", "AlgebraicGeometry.Scheme.mem_basicOpen", "AlgebraicGeometry.Scheme.mem_basicOpen_top'", "AlgebraicGeometry.Scheme.ofRestrict_app", "AlgebraicGeometry.Scheme.ofRestrict_appLE", "AlgebraicGeometry.Scheme.preimage_basicOpen", "AlgebraicGeometry.Scheme.presheaf_map_eqToHom_op", "AlgebraicGeometry.Scheme.restrictFunctor_map_app", "AlgebraicGeometry.Scheme.restrictFunctor_map_app_aux", "AlgebraicGeometry.Scheme.restrictFunctor_map_base", "AlgebraicGeometry.Scheme.restrictFunctor_map_left", "AlgebraicGeometry.Scheme.restrictFunctor_map_ofRestrict", "AlgebraicGeometry.Scheme.restrictFunctor_obj_hom", "AlgebraicGeometry.Scheme.restrictFunctor_obj_left", "AlgebraicGeometry.Scheme.restrictRestrict_hom_restrict", "AlgebraicGeometry.Scheme.restrict_presheaf_map", "AlgebraicGeometry.Scheme.restrict_toPresheafedSpace", "AlgebraicGeometry.Scheme.subcanonical_zariskiTopology", "AlgebraicGeometry.Scheme.toOpen_eq", "AlgebraicGeometry.Scheme.zariskiTopology_openCover", "AlgebraicGeometry.Scheme.\u0393SpecIso_inv", "AlgebraicGeometry.Scheme.\u0393_def", "AlgebraicGeometry.Scheme.\u0393_map", "AlgebraicGeometry.Scheme.\u0393_obj", "AlgebraicGeometry.Scheme.\u0393_obj_op", "AlgebraicGeometry.SheafedSpace.GlueData.\u03b9_isoPresheafedSpace_inv", "AlgebraicGeometry.SheafedSpace.GlueData.\u03b9_jointly_surjective", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_invApp", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.app_inv_app'", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.image_preimage_is_empty", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.invApp_app", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.inv_invApp", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.inv_naturality", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.of_stalk_iso", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.sigma_\u03b9_openEmbedding", "AlgebraicGeometry.SheafedSpace.IsOpenImmersion.to_iso", "AlgebraicGeometry.SheafedSpace.comp_c_app", "AlgebraicGeometry.SheafedSpace.comp_c_app'", "AlgebraicGeometry.SheafedSpace.congr_app", "AlgebraicGeometry.SheafedSpace.ext", "AlgebraicGeometry.SheafedSpace.id_c", "AlgebraicGeometry.SheafedSpace.id_c_app", "AlgebraicGeometry.SheafedSpace.\u0393_map_op", "AlgebraicGeometry.SheafedSpace.\u0393_obj", "AlgebraicGeometry.SheafedSpace.\u0393_obj_op", "AlgebraicGeometry.Spec.basicOpen_hom_ext", "AlgebraicGeometry.Spec.locallyRingedSpaceMap_comp", "AlgebraicGeometry.Spec.locallyRingedSpaceMap_id", "AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf'", "AlgebraicGeometry.Spec.locallyRingedSpaceObj_presheaf_map'", "AlgebraicGeometry.Spec.locallyRingedSpaceObj_sheaf", "AlgebraicGeometry.Spec.locallyRingedSpaceObj_sheaf'", "AlgebraicGeometry.Spec.map_base", "AlgebraicGeometry.Spec.map_eqToHom", "AlgebraicGeometry.Spec.map_id", "AlgebraicGeometry.Spec.map_injective", "AlgebraicGeometry.Spec.map_inv", "AlgebraicGeometry.Spec.preimage_map", "AlgebraicGeometry.Spec.sheafedSpaceMap_comp", "AlgebraicGeometry.Spec.sheafedSpaceMap_id", "AlgebraicGeometry.Spec.toPresheafedSpace_map", "AlgebraicGeometry.Spec.toPresheafedSpace_map_op", "AlgebraicGeometry.Spec.toPresheafedSpace_obj", "AlgebraicGeometry.Spec.topMap_comp", "AlgebraicGeometry.Spec.topMap_id", "AlgebraicGeometry.Spec_carrier", "AlgebraicGeometry.Spec_map_localization_isIso", "AlgebraicGeometry.Spec_presheaf", "AlgebraicGeometry.Spec_sheaf", "AlgebraicGeometry.Spec_\u0393_naturality", "AlgebraicGeometry.StructureSheaf.IsFraction.eq_mk'", "AlgebraicGeometry.StructureSheaf.algebraMap_pushforward_stalk", "AlgebraicGeometry.StructureSheaf.comapFunIsLocallyFraction", "AlgebraicGeometry.StructureSheaf.comap_apply", "AlgebraicGeometry.StructureSheaf.comap_comp", "AlgebraicGeometry.StructureSheaf.comap_const", "AlgebraicGeometry.StructureSheaf.comap_id", "AlgebraicGeometry.StructureSheaf.comap_id'", "AlgebraicGeometry.StructureSheaf.comap_id_eq_map", "AlgebraicGeometry.StructureSheaf.const_apply", "AlgebraicGeometry.StructureSheaf.const_apply'", "AlgebraicGeometry.StructureSheaf.const_congr", "AlgebraicGeometry.StructureSheaf.const_ext", "AlgebraicGeometry.StructureSheaf.const_mul", "AlgebraicGeometry.StructureSheaf.const_mul_cancel", "AlgebraicGeometry.StructureSheaf.const_mul_cancel'", "AlgebraicGeometry.StructureSheaf.const_mul_rev", "AlgebraicGeometry.StructureSheaf.const_one", "AlgebraicGeometry.StructureSheaf.const_self", "AlgebraicGeometry.StructureSheaf.const_zero", "AlgebraicGeometry.StructureSheaf.exists_const", "AlgebraicGeometry.StructureSheaf.germ_comp_stalkToFiberRingHom", "AlgebraicGeometry.StructureSheaf.germ_toOpen", "AlgebraicGeometry.StructureSheaf.germ_to_top", "AlgebraicGeometry.StructureSheaf.globalSectionsIso_hom", "AlgebraicGeometry.StructureSheaf.isLocalizedModule_toPushforwardStalkAlgHom_aux", "AlgebraicGeometry.StructureSheaf.isUnit_toStalk", "AlgebraicGeometry.StructureSheaf.isUnit_to_basicOpen_self", "AlgebraicGeometry.StructureSheaf.localizationToStalk_mk'", "AlgebraicGeometry.StructureSheaf.localizationToStalk_of", "AlgebraicGeometry.StructureSheaf.localizationToStalk_stalkSpecializes", "AlgebraicGeometry.StructureSheaf.localizationToStalk_stalkToFiberRingHom", "AlgebraicGeometry.StructureSheaf.localization_toBasicOpen", "AlgebraicGeometry.StructureSheaf.locally_const_basicOpen", "AlgebraicGeometry.StructureSheaf.normalize_finite_fraction_representation", "AlgebraicGeometry.StructureSheaf.openAlgebra_map", "AlgebraicGeometry.StructureSheaf.openToLocalization_apply", "AlgebraicGeometry.StructureSheaf.res_const", "AlgebraicGeometry.StructureSheaf.stalkSpecializes_stalk_to_fiber", "AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_germ", "AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_localizationToStalk", "AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_toStalk", "AlgebraicGeometry.StructureSheaf.toBasicOpen_injective", "AlgebraicGeometry.StructureSheaf.toBasicOpen_mk'", "AlgebraicGeometry.StructureSheaf.toBasicOpen_surjective", "AlgebraicGeometry.StructureSheaf.toOpen_apply", "AlgebraicGeometry.StructureSheaf.toOpen_eq_const", "AlgebraicGeometry.StructureSheaf.toOpen_germ", "AlgebraicGeometry.StructureSheaf.toPushforwardStalk_comp", "AlgebraicGeometry.StructureSheaf.toStalk_comp_stalkToFiberRingHom", "AlgebraicGeometry.StructureSheaf.toStalk_stalkSpecializes", "AlgebraicGeometry.StructureSheaf.to_global_factors", "AlgebraicGeometry.affineLocally_iff_affineOpens_le", "AlgebraicGeometry.affineLocally_respectsIso", "AlgebraicGeometry.affineOpensRestrict_symm_apply_coe", "AlgebraicGeometry.affine_cancel_left_isIso", "AlgebraicGeometry.affine_cancel_right_isIso", "AlgebraicGeometry.affine_isReduced_iff", "AlgebraicGeometry.basicOpen_eq_bot_iff", "AlgebraicGeometry.basicOpen_eq_of_affine", "AlgebraicGeometry.basicOpen_eq_of_affine'", "AlgebraicGeometry.compactSpace_iff_quasiCompact", "AlgebraicGeometry.compact_open_induction_on", "AlgebraicGeometry.diagonal_targetAffineLocally_eq_targetAffineLocally", "AlgebraicGeometry.diagonal_targetAffineLocally_of_openCover", "AlgebraicGeometry.emptyIsInitial_to", "AlgebraicGeometry.eq_zero_of_basicOpen_eq_bot", "AlgebraicGeometry.exists_basicOpen_le_affine_inter", "AlgebraicGeometry.exists_eq_pow_mul_of_isAffineOpen", "AlgebraicGeometry.exists_eq_pow_mul_of_isCompact_of_isQuasiSeparated", "AlgebraicGeometry.exists_eq_pow_mul_of_is_compact_of_quasi_separated_space_aux", "AlgebraicGeometry.exists_eq_pow_mul_of_is_compact_of_quasi_separated_space_aux_aux", "AlgebraicGeometry.exists_pow_mul_eq_zero_of_res_basicOpen_eq_zero_of_isAffineOpen", "AlgebraicGeometry.exists_pow_mul_eq_zero_of_res_basicOpen_eq_zero_of_isCompact", "AlgebraicGeometry.functionField_isFractionRing_of_isAffineOpen", "AlgebraicGeometry.genericPoint_eq_bot_of_affine", "AlgebraicGeometry.genericPoint_eq_of_isOpenImmersion", "AlgebraicGeometry.germ_comp_stalkToFiberRingHom", "AlgebraicGeometry.germ_injective_of_isIntegral", "AlgebraicGeometry.homogeneousLocalizationToStalk_stalkToFiberRingHom", "AlgebraicGeometry.image_morphismRestrict_preimage", "AlgebraicGeometry.isAffineOpen_bot", "AlgebraicGeometry.isAffineOpen_opensRange", "AlgebraicGeometry.isAffineOpen_top", "AlgebraicGeometry.isAffine_of_isIso", "AlgebraicGeometry.isBasis_affine_open", "AlgebraicGeometry.isBasis_basicOpen", "AlgebraicGeometry.isCompactOpen_iff_eq_basicOpen_union", "AlgebraicGeometry.isCompactOpen_iff_eq_finset_affine_union", "AlgebraicGeometry.isCompact_basicOpen", "AlgebraicGeometry.isIntegral_of_irreducibleSpace_of_isReduced", "AlgebraicGeometry.isIntegral_of_isAffine_of_isDomain", "AlgebraicGeometry.isIntegral_of_isOpenImmersion", "AlgebraicGeometry.isIso_iff_isOpenImmersion", "AlgebraicGeometry.isIso_iff_stalk_iso", "AlgebraicGeometry.isOpenImmersionCat_comp_of_sourceAffineLocally", "AlgebraicGeometry.isOpenImmersion_iff_stalk", "AlgebraicGeometry.isOpenImmersion_isLocalAtTarget", "AlgebraicGeometry.isOpenImmersion_respectsIso", "AlgebraicGeometry.isOpenImmersion_stableUnderBaseChange", "AlgebraicGeometry.isPullback_morphismRestrict", "AlgebraicGeometry.isReduced_of_isOpenImmersion", "AlgebraicGeometry.isReduced_of_isReduced_stalk", "AlgebraicGeometry.is_localization_basicOpen_of_qcqs", "AlgebraicGeometry.localRingHom_comp_stalkIso", "AlgebraicGeometry.locallyOfFiniteType_eq", "AlgebraicGeometry.locallyOfFiniteType_of_comp", "AlgebraicGeometry.map_injective_of_isIntegral", "AlgebraicGeometry.mem_Spec_essImage", "AlgebraicGeometry.mem_basicOpen_den", "AlgebraicGeometry.morphismRestrict_app", "AlgebraicGeometry.morphismRestrict_appLE", "AlgebraicGeometry.morphismRestrict_comp", "AlgebraicGeometry.morphismRestrict_val_base", "AlgebraicGeometry.morphismRestrict_\u03b9", "AlgebraicGeometry.of_affine_open_cover", "AlgebraicGeometry.propertyIsLocalAtTarget_of_morphismRestrict", "AlgebraicGeometry.pullbackRestrictIsoRestrict_hom_morphismRestrict", "AlgebraicGeometry.pullbackRestrictIsoRestrict_hom_restrict", "AlgebraicGeometry.pullbackRestrictIsoRestrict_inv_fst", "AlgebraicGeometry.quasiCompact_eq_affineProperty", "AlgebraicGeometry.quasiCompact_iff_affineProperty", "AlgebraicGeometry.quasiCompact_iff_forall_affine", "AlgebraicGeometry.quasiCompact_iff_spectral", "AlgebraicGeometry.quasiCompact_over_affine_iff", "AlgebraicGeometry.quasiCompact_stableUnderBaseChange", "AlgebraicGeometry.quasiSeparatedOfComp", "AlgebraicGeometry.quasiSeparatedSpace_iff_affine", "AlgebraicGeometry.quasiSeparatedSpace_iff_quasiSeparated", "AlgebraicGeometry.quasiSeparatedSpace_of_quasiSeparated", "AlgebraicGeometry.quasiSeparated_eq_affineProperty_diagonal", "AlgebraicGeometry.quasiSeparated_eq_diagonal_is_quasiCompact", "AlgebraicGeometry.quasiSeparated_over_affine_iff", "AlgebraicGeometry.quasiSeparated_respectsIso", "AlgebraicGeometry.quasi_compact_affineProperty_iff_quasiSeparatedSpace", "AlgebraicGeometry.reduce_to_affine_global", "AlgebraicGeometry.reduce_to_affine_nbhd", "AlgebraicGeometry.scheme_restrict_basicOpen_of_localizationPreserves", "AlgebraicGeometry.sourceAffineLocally_isLocal", "AlgebraicGeometry.sourceAffineLocally_of_source_open_cover_aux", "AlgebraicGeometry.sourceAffineLocally_respectsIso", "AlgebraicGeometry.stalkMap_toStalk", "AlgebraicGeometry.stalkToFiberRingHom_germ", "AlgebraicGeometry.stalkToFiberRingHom_germ'", "AlgebraicGeometry.stalkToFiberRingHom_homogeneousLocalizationToStalk", "AlgebraicGeometry.targetAffineLocally_of_openCover", "AlgebraicGeometry.targetAffineLocally_respectsIso", "AlgebraicGeometry.topologically_isClosedMap_respectsIso", "AlgebraicGeometry.universallyClosed_eq", "AlgebraicGeometry.universallyClosed_isLocalAtTarget", "AlgebraicGeometry.universallyClosed_stableUnderBaseChange", "AlgebraicGeometry.universally_isLocalAtTarget", "AlgebraicGeometry.universally_isLocalAtTarget_of_morphismRestrict", "AlgebraicGeometry.\u0393Spec.SpecMap_\u0393SpecIso_hom", "AlgebraicGeometry.\u0393Spec.adjunction_counit_app", "AlgebraicGeometry.\u0393Spec.adjunction_counit_app'", "AlgebraicGeometry.\u0393Spec.adjunction_homEquiv_apply", "AlgebraicGeometry.\u0393Spec.adjunction_homEquiv_symm_apply", "AlgebraicGeometry.\u0393Spec.adjunction_unit_app_app_top", "AlgebraicGeometry.\u0393Spec.adjunction_unit_map_basicOpen", "AlgebraicGeometry.\u0393Spec.left_triangle", "AlgebraicGeometry.\u0393Spec.locallyRingedSpaceAdjunction_homEquiv_apply", "AlgebraicGeometry.\u0393Spec.locallyRingedSpaceAdjunction_homEquiv_apply'", "AlgebraicGeometry.\u0393Spec.right_triangle", "AlgebraicGeometry.\u0393Spec.toOpen_comp_locallyRingedSpaceAdjunction_homEquiv_app", "AlgebraicGeometry.\u0393Spec.toOpen_unit_app_val_c_app", "AlgebraicGeometry.\u0393Spec.toOpen_unit_app_val_c_app'", "AlgebraicGeometry.\u0393SpecIso_obj_hom", "AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin", "AlgebraicIndependent.aeval_comp_repr", "AlgebraicIndependent.aeval_repr", "AlgebraicIndependent.algebraMap_aevalEquiv", "AlgebraicIndependent.algebraMap_injective", "AlgebraicIndependent.comp", "AlgebraicIndependent.eq_zero_of_aeval_eq_zero", "AlgebraicIndependent.image", "AlgebraicIndependent.image_of_comp", "AlgebraicIndependent.injective", "AlgebraicIndependent.isTranscendenceBasis_iff", "AlgebraicIndependent.linearIndependent", "AlgebraicIndependent.map", "AlgebraicIndependent.map'", "AlgebraicIndependent.mono", "AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_C", "AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_X_none", "AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_X_some", "AlgebraicIndependent.mvPolynomialOptionEquivPolynomialAdjoin_apply", "AlgebraicIndependent.ne_zero", "AlgebraicIndependent.of_comp", "AlgebraicIndependent.option_iff", "AlgebraicIndependent.repr_ker", "AlgebraicIndependent.restrictScalars", "AlgebraicIndependent.to_subtype_range'", "AlgebraicTopology.AlternatingCofaceMapComplex.d_eq_unop_d", "AlgebraicTopology.AlternatingCofaceMapComplex.d_squared", "AlgebraicTopology.AlternatingFaceMapComplex.d_squared", "AlgebraicTopology.AlternatingFaceMapComplex.map_f", "AlgebraicTopology.AlternatingFaceMapComplex.obj_X", "AlgebraicTopology.AlternatingFaceMapComplex.obj_d_eq", "AlgebraicTopology.AlternatingFaceMapComplex.\u03b5_app_f_succ", "AlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_eq", "AlgebraicTopology.DoldKan.Compatibility.equivalenceUnitIso_eq", "AlgebraicTopology.DoldKan.Compatibility.equivalence_functor", "AlgebraicTopology.DoldKan.Compatibility.equivalence\u2081CounitIso_eq", "AlgebraicTopology.DoldKan.Compatibility.equivalence\u2081UnitIso_eq", "AlgebraicTopology.DoldKan.Compatibility.equivalence\u2082CounitIso_eq", "AlgebraicTopology.DoldKan.Compatibility.equivalence\u2082UnitIso_eq", "AlgebraicTopology.DoldKan.HigherFacesVanish.comp_H\u03c3_eq", "AlgebraicTopology.DoldKan.HigherFacesVanish.comp_H\u03c3_eq_zero", "AlgebraicTopology.DoldKan.HigherFacesVanish.comp_P_eq_self", "AlgebraicTopology.DoldKan.HigherFacesVanish.comp_\u03b4_eq_zero", "AlgebraicTopology.DoldKan.HigherFacesVanish.comp_\u03c3", "AlgebraicTopology.DoldKan.HigherFacesVanish.inclusionOfMooreComplexMap", "AlgebraicTopology.DoldKan.HigherFacesVanish.induction", "AlgebraicTopology.DoldKan.HigherFacesVanish.of_P", "AlgebraicTopology.DoldKan.HigherFacesVanish.of_comp", "AlgebraicTopology.DoldKan.HigherFacesVanish.of_succ", "AlgebraicTopology.DoldKan.HigherFacesVanish.on_\u0393\u2080_summand_id", "AlgebraicTopology.DoldKan.H\u03c3_eq_zero", "AlgebraicTopology.DoldKan.Is\u03b4\u2080.iff", "AlgebraicTopology.DoldKan.MorphComponents.id_\u03c6", "AlgebraicTopology.DoldKan.MorphComponents.postComp_\u03c6", "AlgebraicTopology.DoldKan.MorphComponents.preComp_\u03c6", "AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_app", "AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_hom_app", "AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_hom_app_f_f", "AlgebraicTopology.DoldKan.N\u2081\u0393\u2080_inv_app_f_f", "AlgebraicTopology.DoldKan.N\u2082\u0393\u2082ToKaroubiIso_hom_app", "AlgebraicTopology.DoldKan.N\u2082\u0393\u2082ToKaroubiIso_inv_app", "AlgebraicTopology.DoldKan.N\u2082\u0393\u2082_compatible_with_N\u2081\u0393\u2080", "AlgebraicTopology.DoldKan.N\u2082\u0393\u2082_inv_app_f_f", "AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex_comp_inclusionOfMooreComplexMap", "AlgebraicTopology.DoldKan.PInfty_add_QInfty", "AlgebraicTopology.DoldKan.PInfty_comp_PInftyToNormalizedMooreComplex", "AlgebraicTopology.DoldKan.PInfty_comp_QInfty", "AlgebraicTopology.DoldKan.PInfty_comp_map_mono_eq_zero", "AlgebraicTopology.DoldKan.PInfty_f", "AlgebraicTopology.DoldKan.PInfty_f_0", "AlgebraicTopology.DoldKan.PInfty_f_comp_QInfty_f", "AlgebraicTopology.DoldKan.PInfty_f_idem", "AlgebraicTopology.DoldKan.PInfty_f_naturality", "AlgebraicTopology.DoldKan.PInfty_on_\u0393\u2080_splitting_summand_eq_self", "AlgebraicTopology.DoldKan.P_add_Q", "AlgebraicTopology.DoldKan.P_add_Q_f", "AlgebraicTopology.DoldKan.P_f_0_eq", "AlgebraicTopology.DoldKan.P_f_idem", "AlgebraicTopology.DoldKan.P_f_naturality", "AlgebraicTopology.DoldKan.P_idem", "AlgebraicTopology.DoldKan.P_is_eventually_constant", "AlgebraicTopology.DoldKan.P_succ", "AlgebraicTopology.DoldKan.P_zero", "AlgebraicTopology.DoldKan.QInfty_f", "AlgebraicTopology.DoldKan.QInfty_f_0", "AlgebraicTopology.DoldKan.QInfty_f_comp_PInfty_f", "AlgebraicTopology.DoldKan.QInfty_f_naturality", "AlgebraicTopology.DoldKan.QInfty_idem", "AlgebraicTopology.DoldKan.Q_f_0_eq", "AlgebraicTopology.DoldKan.Q_f_idem", "AlgebraicTopology.DoldKan.Q_f_naturality", "AlgebraicTopology.DoldKan.Q_idem", "AlgebraicTopology.DoldKan.Q_is_eventually_constant", "AlgebraicTopology.DoldKan.Q_succ", "AlgebraicTopology.DoldKan.Q_zero", "AlgebraicTopology.DoldKan.c_mk", "AlgebraicTopology.DoldKan.comp_P_eq_self_iff", "AlgebraicTopology.DoldKan.compatibility_N\u2082_N\u2081_karoubi", "AlgebraicTopology.DoldKan.compatibility_\u0393\u2082N\u2081_\u0393\u2082N\u2082_natTrans", "AlgebraicTopology.DoldKan.cs_down_0_not_rel_left", "AlgebraicTopology.DoldKan.decomposition_Q", "AlgebraicTopology.DoldKan.degeneracy_comp_PInfty", "AlgebraicTopology.DoldKan.factors_normalizedMooreComplex_PInfty", "AlgebraicTopology.DoldKan.homotopyPToId_eventually_constant", "AlgebraicTopology.DoldKan.h\u03c3'_eq", "AlgebraicTopology.DoldKan.h\u03c3'_eq'", "AlgebraicTopology.DoldKan.h\u03c3'_eq_zero", "AlgebraicTopology.DoldKan.h\u03c3'_naturality", "AlgebraicTopology.DoldKan.identity_N\u2082", "AlgebraicTopology.DoldKan.identity_N\u2082_objectwise", "AlgebraicTopology.DoldKan.inclusionOfMooreComplexMap_comp_PInfty", "AlgebraicTopology.DoldKan.karoubi_PInfty_f", "AlgebraicTopology.DoldKan.map_H\u03c3", "AlgebraicTopology.DoldKan.map_P", "AlgebraicTopology.DoldKan.map_PInfty_f", "AlgebraicTopology.DoldKan.map_Q", "AlgebraicTopology.DoldKan.map_h\u03c3'", "AlgebraicTopology.DoldKan.toKaroubiCompN\u2082IsoN\u2081_hom_app", "AlgebraicTopology.DoldKan.toKaroubiCompN\u2082IsoN\u2081_inv_app", "AlgebraicTopology.DoldKan.whiskerLeft_toKaroubi_N\u2082\u0393\u2082_hom", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_comp", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_eq_zero", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_id", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_naturality", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_\u03b4\u2080", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.Termwise.mapMono_\u03b4\u2080'", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_epi_on_summand_id", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_on_summand", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_on_summand'", "AlgebraicTopology.DoldKan.\u0393\u2080.Obj.map_on_summand\u2080", "AlgebraicTopology.DoldKan.\u0393\u2080_obj_termwise_mapMono_comp_PInfty", "AlgebraicTopology.DoldKan.\u0393\u2082N\u2082.natTrans_app_f_app", "AlgebraicTopology.DoldKan.\u0393\u2082N\u2082ToKaroubiIso_inv_app", "AlgebraicTopology.DoldKan.\u03c3_comp_PInfty", "AlgebraicTopology.DoldKan.\u03c3_comp_P_eq_zero", "AlgebraicTopology.NormalizedMooreComplex.d_squared", "AlgebraicTopology.NormalizedMooreComplex.objX_add_one", "AlgebraicTopology.NormalizedMooreComplex.objX_zero", "AlgebraicTopology.alternatingFaceMapComplex_obj_d", "AlgebraicTopology.inclusionOfMooreComplexMap_f", "AlgebraicTopology.karoubi_alternatingFaceMapComplex_d", "AlgebraicTopology.map_alternatingFaceMapComplex", "AlgebraicTopology.normalizedMooreComplex_objD", "AlternatingMap.add_compLinearMap", "AlternatingMap.coeFn_smul", "AlternatingMap.coe_alternatization", "AlternatingMap.coe_compLinearMap", "AlternatingMap.coe_inj", "AlternatingMap.coe_mk", "AlternatingMap.coe_multilinearMap", "AlternatingMap.coe_multilinearMap_injective", "AlternatingMap.coe_multilinearMap_mk", "AlternatingMap.coe_pi", "AlternatingMap.coe_prod", "AlternatingMap.coe_smul", "AlternatingMap.coe_smulRight", "AlternatingMap.coe_sub", "AlternatingMap.compLinearMap_apply", "AlternatingMap.compLinearMap_assoc", "AlternatingMap.compLinearMap_inj", "AlternatingMap.compLinearMap_injective", "AlternatingMap.compLinearMap_zero", "AlternatingMap.congr_arg", "AlternatingMap.congr_fun", "AlternatingMap.curryLeft_add", "AlternatingMap.curryLeft_compAlternatingMap", "AlternatingMap.curryLeft_compLinearMap", "AlternatingMap.curryLeft_same", "AlternatingMap.domCoprod.summand_add_swap_smul_eq_zero", "AlternatingMap.domCoprod.summand_eq_zero_of_smul_invariant", "AlternatingMap.domCoprod_coe", "AlternatingMap.domDomCongr_perm", "AlternatingMap.domDomCongr_refl", "AlternatingMap.domDomCongr_trans", "AlternatingMap.domDomCongr\u2097_toAddEquiv", "AlternatingMap.domLCongr_refl", "AlternatingMap.domLCongr_symm", "AlternatingMap.domLCongr_trans", "AlternatingMap.eq_smul_basis_det", "AlternatingMap.ext", "AlternatingMap.ext_iff", "AlternatingMap.map_add_swap", "AlternatingMap.map_basis_eq_zero_iff", "AlternatingMap.map_basis_ne_zero_iff", "AlternatingMap.map_congr_perm", "AlternatingMap.map_eq_zero_of_eq", "AlternatingMap.map_eq_zero_of_not_injective", "AlternatingMap.map_linearDependent", "AlternatingMap.map_neg", "AlternatingMap.map_perm", "AlternatingMap.map_sub", "AlternatingMap.map_swap", "AlternatingMap.map_update_self", "AlternatingMap.map_update_sum", "AlternatingMap.map_update_update", "AlternatingMap.map_update_zero", "AlternatingMap.map_vecCons_add", "AlternatingMap.measure_parallelepiped", "AlternatingMap.mk_zero", "AlternatingMap.neg_apply", "AlternatingMap.zero_apply", "AlternatingMap.zero_compLinearMap", "AmpleSet.image", "AmpleSet.of_one_lt_codim", "AmpleSet.union", "AmpleSet.vadd_iff", "AnalyticAt.add", "AnalyticAt.aeval_mvPolynomial", "AnalyticAt.aeval_polynomial", "AnalyticAt.cexp", "AnalyticAt.comp\u2082", "AnalyticAt.congr", "AnalyticAt.continuousAt", "AnalyticAt.cpow", "AnalyticAt.curry_right", "AnalyticAt.differentiableAt", "AnalyticAt.differentiableWithinAt", "AnalyticAt.div", "AnalyticAt.eventually_analyticAt", "AnalyticAt.eventually_constant_or_nhds_le_map_nhds", "AnalyticAt.eventually_constant_or_nhds_le_map_nhds_aux", "AnalyticAt.eventually_eq_or_eventually_ne", "AnalyticAt.eventually_eq_zero_or_eventually_ne_zero", "AnalyticAt.exists_eventuallyEq_pow_smul_nonzero_iff", "AnalyticAt.exists_mem_nhds_analyticOn", "AnalyticAt.frequently_eq_iff_eventually_eq", "AnalyticAt.frequently_zero_iff_eventually_zero", "AnalyticAt.meromorphicAt", "AnalyticAt.meromorphicAt_order", "AnalyticAt.neg", "AnalyticAt.order_eq_nat_iff", "AnalyticAt.order_eq_top_iff", "AnalyticAt.pow", "AnalyticAt.prod", "AnalyticAt.sub", "AnalyticAt.unique_eventuallyEq_pow_smul_nonzero", "AnalyticAt.unique_eventuallyEq_zpow_smul_nonzero", "AnalyticOn.aeval_mvPolynomial", "AnalyticOn.cexp", "AnalyticOn.clog", "AnalyticOn.comp\u2082", "AnalyticOn.congr", "AnalyticOn.congr'", "AnalyticOn.continuous", "AnalyticOn.continuousOn", "AnalyticOn.cpow", "AnalyticOn.curry_left", "AnalyticOn.curry_right", "AnalyticOn.deriv", "AnalyticOn.eqOn_of_preconnected_of_eventuallyEq", "AnalyticOn.eqOn_of_preconnected_of_frequently_eq", "AnalyticOn.eqOn_of_preconnected_of_mem_closure", "AnalyticOn.eqOn_zero_of_preconnected_of_eventuallyEq_zero", "AnalyticOn.eqOn_zero_of_preconnected_of_eventuallyEq_zero_aux", "AnalyticOn.eqOn_zero_of_preconnected_of_frequently_eq_zero", "AnalyticOn.eq_of_eventuallyEq", "AnalyticOn.eq_of_frequently_eq", "AnalyticOn.eval_continuousLinearMap", "AnalyticOn.eval_linearMap'", "AnalyticOn.eval_mvPolynomial", "AnalyticOn.eval_polynomial", "AnalyticOn.fderiv", "AnalyticOn.inv", "AnalyticOn.is_constant_or_isOpen", "AnalyticOn.iteratedFDeriv", "AnalyticOn.iterated_deriv", "AnalyticOn.meromorphicOn", "AnalyticOn.prod", "AnalyticOn.smul", "And.exists", "And.imp", "And.imp_left", "And.imp_right", "AntilipschitzWith.comap_uniformity_le", "AntilipschitzWith.comp", "AntilipschitzWith.completeSpace_range_clm", "AntilipschitzWith.dimH_preimage_le", "AntilipschitzWith.ediam_preimage_le", "AntilipschitzWith.edist_ne_top", "AntilipschitzWith.hausdorffMeasure_preimage_le", "AntilipschitzWith.id", "AntilipschitzWith.injective", "AntilipschitzWith.isBounded_of_image2_left", "AntilipschitzWith.isBounded_of_image2_right", "AntilipschitzWith.isClosed_range", "AntilipschitzWith.isComplete_range", "AntilipschitzWith.le_dimH_image", "AntilipschitzWith.le_hausdorffMeasure_image", "AntilipschitzWith.le_mul_ediam_image", "AntilipschitzWith.le_mul_norm'", "AntilipschitzWith.le_mul_norm_div", "AntilipschitzWith.mul_div_lipschitzWith", "AntilipschitzWith.mul_le_dist", "AntilipschitzWith.mul_le_edist", "AntilipschitzWith.mul_le_nndist", "AntilipschitzWith.mul_lipschitzWith", "AntilipschitzWith.of_subsingleton", "AntilipschitzWith.properSpace", "AntilipschitzWith.restrict", "AntilipschitzWith.subsingleton", "AntilipschitzWith.subtype_coe", "AntilipschitzWith.tendsto_cobounded", "AntilipschitzWith.to_rightInvOn'", "AntilipschitzWith.to_rightInverse", "AntilipschitzWith.uniformEmbedding", "AntilipschitzWith.uniformInducing", "AntioneOn.integrableOn_isCompact", "AntisymmRel.image", "AntisymmRel.symm", "AntisymmRel.trans", "AntisymmRel.trans_wcovBy", "Antisymmetrization.ind", "Antitone.Ici", "Antitone.Iic", "Antitone.alternating_series_le_tendsto", "Antitone.antitoneOn", "Antitone.antivary", "Antitone.ball", "Antitone.cauchySeq_series_mul_of_tendsto_zero_of_bounded", "Antitone.comp_antitoneOn", "Antitone.comp_monotone", "Antitone.comp_monotoneOn", "Antitone.concaveOn_univ_of_deriv", "Antitone.const_mul'", "Antitone.const_mul_of_nonpos", "Antitone.continuousAt_iff_leftLim_eq_rightLim", "Antitone.continuousWithinAt_Iio_iff_leftLim_eq", "Antitone.continuousWithinAt_Ioi_iff_rightLim_eq", "Antitone.convex_ge", "Antitone.convex_lt", "Antitone.countable_not_continuousAt", "Antitone.covariant_of_const", "Antitone.covariant_of_const'", "Antitone.directed_ge", "Antitone.eq_of_le_of_le", "Antitone.forall", "Antitone.ge_of_tendsto", "Antitone.iInter_nat_add", "Antitone.image_Ici_subset", "Antitone.image_Iic_subset", "Antitone.image_uIcc_subset", "Antitone.image_upperBounds_subset_lowerBounds_image", "Antitone.imp", "Antitone.inter", "Antitone.intervalIntegrable", "Antitone.inv", "Antitone.isBoundedUnder_ge_comp", "Antitone.isBoundedUnder_ge_comp_iff", "Antitone.isBoundedUnder_le_comp_iff", "Antitone.le_map_iInf", "Antitone.le_map_iInf\u2082", "Antitone.le_map_inf", "Antitone.le_map_sInf", "Antitone.le_of_tendsto", "Antitone.le_rightLim", "Antitone.leftLim", "Antitone.leftLim_le_rightLim", "Antitone.locallyIntegrable", "Antitone.map_bddAbove", "Antitone.map_bddBelow", "Antitone.map_ciInf_of_continuousAt", "Antitone.map_ciSup_of_continuousAt", "Antitone.map_csInf_of_continuousAt", "Antitone.map_csSup_of_continuousAt", "Antitone.map_iInf_of_continuousAt", "Antitone.map_iInf_of_continuousAt'", "Antitone.map_iSup_le", "Antitone.map_iSup_of_continuousAt", "Antitone.map_iSup_of_continuousAt'", "Antitone.map_iSup\u2082_le", "Antitone.map_inf", "Antitone.map_isGreatest", "Antitone.map_liminf_of_continuousAt", "Antitone.map_limsSup_of_continuousAt", "Antitone.map_max", "Antitone.map_min", "Antitone.map_sInf_of_continuousAt", "Antitone.map_sSup_le", "Antitone.map_sSup_of_continuousAt", "Antitone.map_sSup_of_continuousAt'", "Antitone.map_sup", "Antitone.mapsTo_Icc", "Antitone.mapsTo_Ici", "Antitone.mapsTo_uIcc", "Antitone.max", "Antitone.measurable", "Antitone.mem_lowerBounds_image", "Antitone.mem_upperBounds_image", "Antitone.monovary", "Antitone.mul", "Antitone.mul'", "Antitone.mul_const", "Antitone.mul_strictAnti'", "Antitone.ne_of_lt_of_lt_int", "Antitone.ne_of_lt_of_lt_nat", "Antitone.pairwise_disjoint_on_Ico_pred", "Antitone.pairwise_disjoint_on_Ico_succ", "Antitone.pairwise_disjoint_on_Ioo_pred", "Antitone.pairwise_disjoint_on_Ioo_succ", "Antitone.piecewise_eventually_eq_iInter", "Antitone.prod_map", "Antitone.quasiconcaveOn", "Antitone.quasiconvexOn", "Antitone.quasilinearOn", "Antitone.reflect_lt", "Antitone.rightLim_le", "Antitone.rightLim_le_leftLim", "Antitone.strictAnti_iff_injective", "Antitone.strictAnti_of_injective", "Antitone.tendsto_alternating_series_of_tendsto_zero", "Antitone.tendsto_le_alternating_series", "Antitone.tendsto_leftLim", "Antitone.tendsto_leftLim_within", "Antitone.tendsto_mulIndicator", "Antitone.tendsto_setIntegral", "Antitone.union", "Antitone.vecCons", "AntitoneOn.Icc", "AntitoneOn.Ici", "AntitoneOn.Ico", "AntitoneOn.Iic", "AntitoneOn.Iic_union_Ici", "AntitoneOn.Iio", "AntitoneOn.Ioc", "AntitoneOn.Ioi", "AntitoneOn.antivaryOn", "AntitoneOn.concaveOn_of_deriv", "AntitoneOn.congr", "AntitoneOn.const_mul'", "AntitoneOn.convex_gt", "AntitoneOn.exists_antitone_extension", "AntitoneOn.image_Icc_subset", "AntitoneOn.image_Ici_subset", "AntitoneOn.image_lowerBounds_subset_upperBounds_image", "AntitoneOn.image_uIcc_subset", "AntitoneOn.integrableOn_of_measure_ne_top", "AntitoneOn.integral_le_sum", "AntitoneOn.integral_le_sum_Ico", "AntitoneOn.inter", "AntitoneOn.intervalIntegrable", "AntitoneOn.inv", "AntitoneOn.map_bddAbove", "AntitoneOn.map_inf", "AntitoneOn.map_isGreatest", "AntitoneOn.map_isLeast", "AntitoneOn.map_max", "AntitoneOn.map_sup", "AntitoneOn.mapsTo_Icc", "AntitoneOn.mapsTo_Ici", "AntitoneOn.mapsTo_Iic", "AntitoneOn.mapsTo_uIcc", "AntitoneOn.mem_lowerBounds_image_self", "AntitoneOn.mem_upperBounds_image", "AntitoneOn.min", "AntitoneOn.mono", "AntitoneOn.monotone", "AntitoneOn.monovaryOn", "AntitoneOn.mul'", "AntitoneOn.mul_const'", "AntitoneOn.mul_strictAnti'", "AntitoneOn.of_map_inf", "AntitoneOn.of_map_sup", "AntitoneOn.quasiconcaveOn", "AntitoneOn.quasiconvexOn", "AntitoneOn.quasilinearOn", "AntitoneOn.reflect_lt", "AntitoneOn.set_prod", "AntitoneOn.sum_le_integral", "AntitoneOn.sum_le_integral_Ico", "AntitoneOn.sup", "AntitoneOn.union", "AntitoneOn.union_right", "Antivary.card_mul_sum_le_sum_mul_sum", "Antivary.card_smul_sum_le_sum_smul_sum", "Antivary.comp_antitone_left", "Antivary.comp_monotone_left", "Antivary.div_left", "Antivary.dual", "Antivary.dual_left", "Antivary.dual_right", "Antivary.mul_left", "Antivary.mul_right", "Antivary.pow_left", "Antivary.pow_left\u2080", "Antivary.pow_right", "Antivary.pow_right\u2080", "Antivary.sum_comp_perm_smul_eq_sum_smul_iff", "Antivary.sum_mul_le_sum_comp_perm_mul", "Antivary.sum_mul_le_sum_mul_comp_perm", "Antivary.sum_mul_lt_sum_mul_comp_perm_iff", "Antivary.sum_smul_comp_perm_eq_sum_smul_iff", "Antivary.sum_smul_le_sum_comp_perm_smul", "Antivary.sum_smul_le_sum_smul_comp_perm", "Antivary.sum_smul_lt_sum_comp_perm_smul_iff", "Antivary.sum_smul_lt_sum_smul_comp_perm_iff", "AntivaryOn.card_mul_sum_le_sum_mul_sum", "AntivaryOn.comp_monotoneOn_right", "AntivaryOn.comp_monotone_on_left", "AntivaryOn.comp_right", "AntivaryOn.div_left", "AntivaryOn.div_left\u2080", "AntivaryOn.dual", "AntivaryOn.dual_left", "AntivaryOn.mul_left\u2080", "AntivaryOn.mul_right", "AntivaryOn.mul_right\u2080", "AntivaryOn.pow_left\u2080", "AntivaryOn.pow_right", "AntivaryOn.subset", "AntivaryOn.sum_comp_perm_smul_eq_sum_smul_iff", "AntivaryOn.sum_mul_eq_sum_mul_comp_perm_iff", "AntivaryOn.sum_mul_le_sum_comp_perm_mul", "AntivaryOn.sum_mul_le_sum_mul_comp_perm", "AntivaryOn.sum_mul_lt_sum_comp_perm_mul_iff", "AntivaryOn.sum_smul_comp_perm_eq_sum_smul_iff", "AntivaryOn.sum_smul_lt_sum_comp_perm_smul_iff", "AntivaryOn.sum_smul_lt_sum_smul_comp_perm_iff", "Applicative.ext", "Applicative.map_seq_map", "Applicative.pure_seq_eq_map'", "ApplicativeTransformation.app_eq_coe", "ApplicativeTransformation.coe_mk", "ApplicativeTransformation.comp_assoc", "ApplicativeTransformation.comp_id", "ApplicativeTransformation.congr_arg", "ApplicativeTransformation.congr_fun", "ApplicativeTransformation.ext", "ApplicativeTransformation.ext_iff", "ApplicativeTransformation.id_comp", "ApplicativeTransformation.preserves_map", "ApplicativeTransformation.preserves_map'", "ApplicativeTransformation.preserves_pure", "ApplicativeTransformation.preserves_seq", "ApproximatesLinearOn.antilipschitz", "ApproximatesLinearOn.approximatesLinearOn_iff_lipschitzOnWith", "ApproximatesLinearOn.closedBall_subset_target", "ApproximatesLinearOn.continuous", "ApproximatesLinearOn.continuousOn", "ApproximatesLinearOn.exists_homeomorph_extension", "ApproximatesLinearOn.image_mem_nhds", "ApproximatesLinearOn.injOn", "ApproximatesLinearOn.injective", "ApproximatesLinearOn.inverse_continuousOn", "ApproximatesLinearOn.lipschitz", "ApproximatesLinearOn.lipschitz_sub", "ApproximatesLinearOn.map_nhds_eq", "ApproximatesLinearOn.mono_num", "ApproximatesLinearOn.mono_set", "ApproximatesLinearOn.norm_fderiv_sub_le", "ApproximatesLinearOn.open_image", "ApproximatesLinearOn.surjOn_closedBall_of_nonlinearRightInverse", "ApproximatesLinearOn.surjective", "ApproximatesLinearOn.toPartialHomeomorph_coe", "ApproximatesLinearOn.toPartialHomeomorph_source", "ApproximatesLinearOn.to_inv", "ArithmeticFunction.IsMultiplicative.eq_iff_eq_on_prime_powers", "ArithmeticFunction.IsMultiplicative.eulerProduct_hasProd", "ArithmeticFunction.IsMultiplicative.eulerProduct_tprod", "ArithmeticFunction.IsMultiplicative.iff_ne_zero", "ArithmeticFunction.IsMultiplicative.intCast", "ArithmeticFunction.IsMultiplicative.lcm_apply_mul_gcd_apply", "ArithmeticFunction.IsMultiplicative.map_one", "ArithmeticFunction.IsMultiplicative.map_prod", "ArithmeticFunction.IsMultiplicative.map_prod_of_subset_primeFactors", "ArithmeticFunction.IsMultiplicative.mul", "ArithmeticFunction.IsMultiplicative.natCast", "ArithmeticFunction.IsMultiplicative.pdiv", "ArithmeticFunction.IsMultiplicative.ppow", "ArithmeticFunction.IsMultiplicative.prodPrimeFactors", "ArithmeticFunction.IsMultiplicative.prodPrimeFactors_add_of_squarefree", "ArithmeticFunction.IsMultiplicative.prodPrimeFactors_one_add_of_squarefree", "ArithmeticFunction.IsMultiplicative.prodPrimeFactors_one_sub_of_squarefree", "ArithmeticFunction.LSeriesHasSum_mul", "ArithmeticFunction.LSeriesSummable_moebius_iff", "ArithmeticFunction.LSeriesSummable_mul", "ArithmeticFunction.LSeriesSummable_vonMangoldt", "ArithmeticFunction.LSeriesSummable_zeta_iff", "ArithmeticFunction.LSeries_mul", "ArithmeticFunction.LSeries_vonMangoldt_eq", "ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div", "ArithmeticFunction.LSeries_zeta_eq", "ArithmeticFunction.LSeries_zeta_eq_riemannZeta", "ArithmeticFunction.LSeries_zeta_mul_Lseries_moebius", "ArithmeticFunction.LSeries_zeta_ne_zero_of_one_lt_re", "ArithmeticFunction.abs_moebius", "ArithmeticFunction.abs_moebius_eq_one_of_squarefree", "ArithmeticFunction.abscissaOfAbsConv_moebius", "ArithmeticFunction.abscissaOfAbsConv_zeta", "ArithmeticFunction.add_apply", "ArithmeticFunction.cardDistinctFactors_apply", "ArithmeticFunction.cardDistinctFactors_apply_prime", "ArithmeticFunction.cardDistinctFactors_apply_prime_pow", "ArithmeticFunction.cardDistinctFactors_eq_cardFactors_iff_squarefree", "ArithmeticFunction.cardDistinctFactors_one", "ArithmeticFunction.cardDistinctFactors_zero", "ArithmeticFunction.cardFactors_apply_prime", "ArithmeticFunction.cardFactors_apply_prime_pow", "ArithmeticFunction.cardFactors_eq_one_iff_prime", "ArithmeticFunction.cardFactors_mul", "ArithmeticFunction.cardFactors_multiset_prod", "ArithmeticFunction.cardFactors_one", "ArithmeticFunction.cardFactors_zero", "ArithmeticFunction.card_divisors", "ArithmeticFunction.coe_coe", "ArithmeticFunction.coe_inj", "ArithmeticFunction.coe_mk", "ArithmeticFunction.coe_moebius_mul_coe_zeta", "ArithmeticFunction.coe_mul", "ArithmeticFunction.coe_mul_zeta_apply", "ArithmeticFunction.coe_zetaUnit", "ArithmeticFunction.coe_zeta_mul_apply", "ArithmeticFunction.coe_zeta_mul_coe_moebius", "ArithmeticFunction.coe_zeta_mul_moebius", "ArithmeticFunction.coe_zeta_smul_apply", "ArithmeticFunction.const_one_eq_zeta", "ArithmeticFunction.convolution_vonMangoldt_const_one", "ArithmeticFunction.convolution_vonMangoldt_zeta", "ArithmeticFunction.ext", "ArithmeticFunction.ext_iff", "ArithmeticFunction.intCoe_apply", "ArithmeticFunction.intCoe_int", "ArithmeticFunction.inv_zetaUnit", "ArithmeticFunction.isMultiplicative_moebius", "ArithmeticFunction.isMultiplicative_one", "ArithmeticFunction.isMultiplicative_sigma", "ArithmeticFunction.isMultiplicative_zeta", "ArithmeticFunction.log_mul_moebius_eq_vonMangoldt", "ArithmeticFunction.map_zero", "ArithmeticFunction.moebius_apply_isPrimePow_not_prime", "ArithmeticFunction.moebius_apply_prime", "ArithmeticFunction.moebius_apply_prime_pow", "ArithmeticFunction.moebius_eq_zero_of_not_squarefree", "ArithmeticFunction.moebius_mul_coe_zeta", "ArithmeticFunction.moebius_mul_log_eq_vonMangoldt", "ArithmeticFunction.moebius_ne_zero_iff_eq_or", "ArithmeticFunction.moebius_ne_zero_iff_squarefree", "ArithmeticFunction.moebius_sq", "ArithmeticFunction.moebius_sq_eq_one_of_squarefree", "ArithmeticFunction.mul_apply", "ArithmeticFunction.mul_apply_one", "ArithmeticFunction.mul_smul'", "ArithmeticFunction.natCoe_apply", "ArithmeticFunction.natCoe_mul", "ArithmeticFunction.natCoe_nat", "ArithmeticFunction.not_LSeriesSummable_moebius_at_one", "ArithmeticFunction.one_apply", "ArithmeticFunction.one_eq_delta", "ArithmeticFunction.one_one", "ArithmeticFunction.one_smul'", "ArithmeticFunction.pdiv_zeta", "ArithmeticFunction.pmul_apply", "ArithmeticFunction.pmul_assoc", "ArithmeticFunction.pmul_comm", "ArithmeticFunction.pmul_zeta", "ArithmeticFunction.pow_apply", "ArithmeticFunction.ppow_apply", "ArithmeticFunction.ppow_succ", "ArithmeticFunction.ppow_succ'", "ArithmeticFunction.ppow_zero", "ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_of_nonzero", "ArithmeticFunction.prod_eq_iff_prod_pow_moebius_eq_on_of_nonzero", "ArithmeticFunction.sigma_apply", "ArithmeticFunction.sigma_one_apply", "ArithmeticFunction.sigma_zero_apply", "ArithmeticFunction.sigma_zero_apply_prime_pow", "ArithmeticFunction.smul_apply", "ArithmeticFunction.sum_eq_iff_sum_mul_moebius_eq", "ArithmeticFunction.sum_eq_iff_sum_mul_moebius_eq_on", "ArithmeticFunction.sum_eq_iff_sum_smul_moebius_eq", "ArithmeticFunction.sum_eq_iff_sum_smul_moebius_eq_on", "ArithmeticFunction.sum_eq_iff_sum_smul_moebius_eq_on'", "ArithmeticFunction.sum_moebius_mul_log_eq", "ArithmeticFunction.toArithmeticFunction_eq_self", "ArithmeticFunction.toFun_eq", "ArithmeticFunction.vonMangoldt_apply_one", "ArithmeticFunction.vonMangoldt_apply_pow", "ArithmeticFunction.vonMangoldt_apply_prime", "ArithmeticFunction.vonMangoldt_eq_zero_iff", "ArithmeticFunction.vonMangoldt_le_log", "ArithmeticFunction.vonMangoldt_ne_zero_iff", "ArithmeticFunction.vonMangoldt_nonneg", "ArithmeticFunction.vonMangoldt_sum", "ArithmeticFunction.zeta_apply", "ArithmeticFunction.zeta_apply_ne", "ArithmeticFunction.zeta_mul_apply", "ArithmeticFunction.zeta_mul_pow_eq_sigma", "ArithmeticFunction.zeta_mul_vonMangoldt", "ArithmeticFunction.zeta_pmul", "Array.SatisfiesM_anyM", "Array.SatisfiesM_anyM_iff_exists", "Array.SatisfiesM_foldlM", "Array.SatisfiesM_foldrM", "Array.SatisfiesM_mapIdxM", "Array.SatisfiesM_mapM", "Array.SatisfiesM_mapM'", "Array.data_length", "Array.data_toArray", "Array.ext", "Array.extract_append_left", "Array.extract_append_right", "Array.extract_eq_nil_of_start_eq_end", "Array.extract_eq_of_size_le_end", "Array.extract_extract", "Array.foldl_eq_foldl_data", "Array.forIn_eq_data_forIn", "Array.getElem_eq_data_getElem", "Array.getElem_mem_data", "Array.get_append_left", "Array.get_eq_getElem", "Array.get_extract", "Array.get_push", "Array.get_set", "Array.join_data", "Array.mem_join", "Array.push_data", "Array.size_append", "Array.size_extract", "Array.size_filter_le", "Array.size_mapM", "Array.size_modifyM", "Array.size_push", "Array.size_shrink", "Array.size_toArray", "Array.size_zip", "Array.size_zipWith", "Array.toListAppend_eq", "Array.toList_eq", "Array.ugetElem_eq_getElem", "Array.zipWith_eq_zipWith_data", "Array.zip_eq_zip_data", "ArzelaAscoli.compactSpace_of_closed_inducing'", "ArzelaAscoli.isCompact_closure_of_closedEmbedding", "ArzelaAscoli.isCompact_of_equicontinuous", "AsTrue.get", "AssociatePrimes.mem_iff", "Associated.comm", "Associated.dvd", "Associated.dvd_iff_dvd_left", "Associated.dvd_iff_dvd_right", "Associated.eq_zero_iff", "Associated.gcd", "Associated.gcd_eq_right", "Associated.irreducible", "Associated.isUnit", "Associated.isUnit_iff", "Associated.map", "Associated.mul_left", "Associated.mul_mul", "Associated.mul_right", "Associated.neg_neg", "Associated.of_mul_left", "Associated.of_mul_right", "Associated.pow_pow", "Associated.prime", "Associated.prime_iff", "Associated.prod", "Associated.rfl", "Associated.separable", "Associated.separable_iff", "Associated.symm", "Associated.trans", "Associates.FactorSet.coe_add", "Associates.FactorSet.prod_eq_zero_iff", "Associates.FactorSet.sup_add_inf_eq_add", "Associates.FactorSet.unique", "Associates.coe_unit_eq_one", "Associates.coprime_iff_inf_one", "Associates.count_eq_zero_of_ne", "Associates.count_factors_eq_find_of_dvd_pow", "Associates.count_le_count_of_factors_le", "Associates.count_le_count_of_le", "Associates.count_mul", "Associates.count_mul_of_coprime", "Associates.count_mul_of_coprime'", "Associates.count_ne_zero_iff_dvd", "Associates.count_of_coprime", "Associates.count_pow", "Associates.count_reducible", "Associates.count_self", "Associates.count_some", "Associates.count_zero", "Associates.decompositionMonoid_iff", "Associates.dvdNotUnit_of_lt", "Associates.dvd_count_of_dvd_count_mul", "Associates.dvd_count_pow", "Associates.dvd_eq_le", "Associates.dvd_of_mem_factors", "Associates.dvd_of_mem_factors'", "Associates.dvd_out_iff", "Associates.eq_factors_of_eq_counts", "Associates.eq_of_eq_counts", "Associates.eq_of_factors_eq_factors", "Associates.eq_of_prod_eq_prod", "Associates.eq_pow_count_factors_of_dvd_pow", "Associates.eq_pow_find_of_dvd_irreducible_pow", "Associates.eq_pow_of_mul_eq_pow", "Associates.exists_mem_multiset_le_of_prime", "Associates.exists_non_zero_rep", "Associates.exists_prime_dvd_of_not_inf_one", "Associates.exists_rep", "Associates.factors'_cong", "Associates.factors_eq_some_iff_ne_zero", "Associates.factors_eq_top_iff_zero", "Associates.factors_le", "Associates.factors_mk", "Associates.factors_mono", "Associates.factors_mul", "Associates.factors_one", "Associates.factors_prime_pow", "Associates.factors_prod", "Associates.factors_self", "Associates.factors_subsingleton", "Associates.factors_zero", "Associates.finite_factors", "Associates.finprod_ne_zero", "Associates.finset_prod_mk", "Associates.forall_associated", "Associates.gcd_mk_mk", "Associates.irreducible_iff_prime_iff", "Associates.irreducible_mk", "Associates.isAtom_iff", "Associates.isPrimal_mk", "Associates.isUnit_iff_eq_bot", "Associates.isUnit_iff_eq_one", "Associates.isUnit_mk", "Associates.is_pow_of_dvd_count", "Associates.le_mul_right", "Associates.le_of_count_ne_zero", "Associates.le_of_mul_le_mul_left", "Associates.le_one_iff", "Associates.le_singleton_iff", "Associates.le_zero", "Associates.map_subtype_coe_factors'", "Associates.mem_factorSet_some", "Associates.mem_factorSet_top", "Associates.mem_factors'_iff_dvd", "Associates.mem_factors'_of_dvd", "Associates.mem_factors_iff_dvd", "Associates.mem_factors_of_dvd", "Associates.mkMonoidHom_apply", "Associates.mk_dvdNotUnit_mk_iff", "Associates.mk_dvd_mk", "Associates.mk_eq_mk_iff_associated", "Associates.mk_eq_one", "Associates.mk_eq_zero", "Associates.mk_isRelPrime_iff", "Associates.mk_le_mk_iff_dvd", "Associates.mk_mul_mk", "Associates.mk_ne_zero", "Associates.mk_ne_zero'", "Associates.mk_normalize", "Associates.mk_pow", "Associates.mk_quot_out", "Associates.mk_surjective", "Associates.mk_zero", "Associates.mul_eq_one_iff", "Associates.mul_mono", "Associates.normalize_out", "Associates.one_eq_mk_one", "Associates.one_le", "Associates.one_or_eq_of_le_of_prime", "Associates.out_dvd_iff", "Associates.out_mk", "Associates.out_mul", "Associates.out_one", "Associates.pow_factors", "Associates.prime_mk", "Associates.prime_pow_dvd_iff_le", "Associates.prime_pow_le_iff_le_bcount", "Associates.prod_add", "Associates.prod_coe", "Associates.prod_eq_one_iff", "Associates.prod_factors", "Associates.prod_le", "Associates.prod_le_prod", "Associates.prod_le_prod_iff_le", "Associates.prod_mk", "Associates.prod_mono", "Associates.prod_top", "Associates.quot_mk_eq_mk", "Associates.quot_out", "Associates.quot_out_zero", "Associates.quotient_mk_eq_mk", "Associates.reducible_not_mem_factorSet", "Associates.rel_associated_iff_map_eq_map", "Associates.sup_mul_inf", "Associates.unique'", "Associates.units_eq_one", "Asymptotics.IsBigO.add", "Asymptotics.IsBigO.add_isLittleO", "Asymptotics.IsBigO.antisymm", "Asymptotics.IsBigO.comp_summable", "Asymptotics.IsBigO.congr", "Asymptotics.IsBigO.congr'", "Asymptotics.IsBigO.congr_left", "Asymptotics.IsBigO.congr_of_sub", "Asymptotics.IsBigO.congr_right", "Asymptotics.IsBigO.const_mul_right", "Asymptotics.IsBigO.continuousMultilinearMap_apply_eq_zero", "Asymptotics.IsBigO.eq_zero_of_norm_pow", "Asymptotics.IsBigO.eq_zero_of_norm_pow_within", "Asymptotics.IsBigO.eventually_mul_div_cancel", "Asymptotics.IsBigO.exists_mem_basis", "Asymptotics.IsBigO.exists_nonneg", "Asymptotics.IsBigO.hasFDerivAt", "Asymptotics.IsBigO.hasFDerivWithinAt", "Asymptotics.IsBigO.integrable", "Asymptotics.IsBigO.integrableAtFilter", "Asymptotics.IsBigO.inv_rev", "Asymptotics.IsBigO.isBigOWith", "Asymptotics.IsBigO.isBoundedUnder_le", "Asymptotics.IsBigO.mono", "Asymptotics.IsBigO.mul", "Asymptotics.IsBigO.mul_isLittleO", "Asymptotics.IsBigO.natCast_atTop", "Asymptotics.IsBigO.not_isLittleO", "Asymptotics.IsBigO.of_bound", "Asymptotics.IsBigO.of_bound'", "Asymptotics.IsBigO.of_pow", "Asymptotics.IsBigO.pow", "Asymptotics.IsBigO.prod_left", "Asymptotics.IsBigO.prod_left_fst", "Asymptotics.IsBigO.prod_rightl", "Asymptotics.IsBigO.smul", "Asymptotics.IsBigO.smul_isLittleO", "Asymptotics.IsBigO.sqrt", "Asymptotics.IsBigO.sub", "Asymptotics.IsBigO.sup", "Asymptotics.IsBigO.symm", "Asymptotics.IsBigO.trans", "Asymptotics.IsBigO.trans_eventuallyEq", "Asymptotics.IsBigO.trans_isLittleO", "Asymptotics.IsBigO.trans_tendsto", "Asymptotics.IsBigO.trans_tendsto_norm_atTop", "Asymptotics.IsBigOWith.add", "Asymptotics.IsBigOWith.add_isLittleO", "Asymptotics.IsBigOWith.comp_tendsto", "Asymptotics.IsBigOWith.congr'", "Asymptotics.IsBigOWith.congr_const", "Asymptotics.IsBigOWith.congr_right", "Asymptotics.IsBigOWith.const_mul_right", "Asymptotics.IsBigOWith.const_mul_right'", "Asymptotics.IsBigOWith.const_smul_self", "Asymptotics.IsBigOWith.eq_zero_imp", "Asymptotics.IsBigOWith.exists_eq_mul", "Asymptotics.IsBigOWith.insert", "Asymptotics.IsBigOWith.inv_rev", "Asymptotics.IsBigOWith.isBigO", "Asymptotics.IsBigOWith.mul", "Asymptotics.IsBigOWith.of_const_mul_right", "Asymptotics.IsBigOWith.pow", "Asymptotics.IsBigOWith.pow'", "Asymptotics.IsBigOWith.prod_left", "Asymptotics.IsBigOWith.prod_left_fst", "Asymptotics.IsBigOWith.prod_left_same", "Asymptotics.IsBigOWith.prod_left_snd", "Asymptotics.IsBigOWith.prod_rightl", "Asymptotics.IsBigOWith.prod_rightr", "Asymptotics.IsBigOWith.right_le_add_of_lt_one", "Asymptotics.IsBigOWith.right_le_sub_of_lt_one", "Asymptotics.IsBigOWith.rpow", "Asymptotics.IsBigOWith.smul", "Asymptotics.IsBigOWith.sub", "Asymptotics.IsBigOWith.sub_isLittleO", "Asymptotics.IsBigOWith.sum", "Asymptotics.IsBigOWith.sup", "Asymptotics.IsBigOWith.sup'", "Asymptotics.IsBigOWith.symm", "Asymptotics.IsBigOWith.trans", "Asymptotics.IsBigOWith.trans_le", "Asymptotics.IsBigOWith.triangle", "Asymptotics.IsBigOWith.weaken", "Asymptotics.IsEquivalent.add_isLittleO", "Asymptotics.IsEquivalent.congr_left", "Asymptotics.IsEquivalent.div", "Asymptotics.IsEquivalent.exists_eq_mul", "Asymptotics.IsEquivalent.inv", "Asymptotics.IsEquivalent.isLittleO", "Asymptotics.IsEquivalent.isTheta", "Asymptotics.IsEquivalent.isTheta_symm", "Asymptotics.IsEquivalent.mul", "Asymptotics.IsEquivalent.neg", "Asymptotics.IsEquivalent.refl", "Asymptotics.IsEquivalent.smul", "Asymptotics.IsEquivalent.sub_isLittleO", "Asymptotics.IsEquivalent.symm", "Asymptotics.IsEquivalent.tendsto_atBot", "Asymptotics.IsEquivalent.tendsto_atBot_iff", "Asymptotics.IsEquivalent.tendsto_atTop_iff", "Asymptotics.IsEquivalent.tendsto_const", "Asymptotics.IsEquivalent.tendsto_nhds", "Asymptotics.IsEquivalent.tendsto_nhds_iff", "Asymptotics.IsEquivalent.trans_eventuallyEq", "Asymptotics.IsEquivalent.trans_isBigO", "Asymptotics.IsEquivalent.trans_isLittleO", "Asymptotics.IsEquivalent.trans_isTheta", "Asymptotics.IsLittleO.add_add", "Asymptotics.IsLittleO.add_isBigO", "Asymptotics.IsLittleO.add_isBigOWith", "Asymptotics.IsLittleO.add_isTheta", "Asymptotics.IsLittleO.comp_tendsto", "Asymptotics.IsLittleO.congr", "Asymptotics.IsLittleO.congr'", "Asymptotics.IsLittleO.congr_left", "Asymptotics.IsLittleO.congr_of_sub", "Asymptotics.IsLittleO.congr_right", "Asymptotics.IsLittleO.const_mul_left", "Asymptotics.IsLittleO.const_mul_right", "Asymptotics.IsLittleO.const_mul_right'", "Asymptotics.IsLittleO.const_smul_left", "Asymptotics.IsLittleO.def", "Asymptotics.IsLittleO.def'", "Asymptotics.IsLittleO.eventuallyLE", "Asymptotics.IsLittleO.eventually_mul_div_cancel", "Asymptotics.IsLittleO.insert", "Asymptotics.IsLittleO.inv_rev", "Asymptotics.IsLittleO.isBigO", "Asymptotics.IsLittleO.isBigOWith", "Asymptotics.IsLittleO.mono", "Asymptotics.IsLittleO.natCast_atTop", "Asymptotics.IsLittleO.not_isBigO", "Asymptotics.IsLittleO.of_pow", "Asymptotics.IsLittleO.pow", "Asymptotics.IsLittleO.prod_left", "Asymptotics.IsLittleO.prod_left_fst", "Asymptotics.IsLittleO.prod_left_snd", "Asymptotics.IsLittleO.prod_rightl", "Asymptotics.IsLittleO.prod_rightr", "Asymptotics.IsLittleO.right_isBigO_add", "Asymptotics.IsLittleO.right_isBigO_add'", "Asymptotics.IsLittleO.right_isBigO_sub", "Asymptotics.IsLittleO.right_isTheta_add", "Asymptotics.IsLittleO.right_isTheta_add'", "Asymptotics.IsLittleO.rpow", "Asymptotics.IsLittleO.smul", "Asymptotics.IsLittleO.smul_isBigO", "Asymptotics.IsLittleO.sqrt", "Asymptotics.IsLittleO.sub", "Asymptotics.IsLittleO.sum", "Asymptotics.IsLittleO.sum_range", "Asymptotics.IsLittleO.sup", "Asymptotics.IsLittleO.symm", "Asymptotics.IsLittleO.tendsto_div_nhds_zero", "Asymptotics.IsLittleO.tendsto_inv_smul_nhds_zero", "Asymptotics.IsLittleO.tendsto_zero_of_tendsto", "Asymptotics.IsLittleO.trans", "Asymptotics.IsLittleO.trans_isBigO", "Asymptotics.IsLittleO.trans_isBigOWith", "Asymptotics.IsLittleO.trans_isEquivalent", "Asymptotics.IsLittleO.trans_le", "Asymptotics.IsTheta.div", "Asymptotics.IsTheta.inv", "Asymptotics.IsTheta.isBigO", "Asymptotics.IsTheta.isBigO_congr_right", "Asymptotics.IsTheta.isBoundedUnder_le_iff", "Asymptotics.IsTheta.mono", "Asymptotics.IsTheta.pow", "Asymptotics.IsTheta.sup", "Asymptotics.IsTheta.symm", "Asymptotics.IsTheta.tendsto_norm_atTop_iff", "Asymptotics.IsTheta.tendsto_zero_iff", "Asymptotics.IsTheta.trans", "Asymptotics.IsTheta.trans_isBigO", "Asymptotics.IsTheta.zpow", "Asymptotics.SuperpolynomialDecay.add", "Asymptotics.SuperpolynomialDecay.mul", "Asymptotics.SuperpolynomialDecay.mul_const", "Asymptotics.SuperpolynomialDecay.mul_param", "Asymptotics.SuperpolynomialDecay.mul_param_pow", "Asymptotics.SuperpolynomialDecay.mul_param_zpow", "Asymptotics.SuperpolynomialDecay.param_mul", "Asymptotics.SuperpolynomialDecay.param_pow_mul", "Asymptotics.SuperpolynomialDecay.param_zpow_mul", "Asymptotics.SuperpolynomialDecay.polynomial_mul", "Asymptotics.SuperpolynomialDecay.trans_abs_le", "Asymptotics.SuperpolynomialDecay.trans_eventuallyLE", "Asymptotics.SuperpolynomialDecay.trans_eventually_abs_le", "Asymptotics.bound_of_isBigO_cofinite", "Asymptotics.bound_of_isBigO_nat_atTop", "Asymptotics.div_isBoundedUnder_of_isBigO", "Asymptotics.isBigOWith_abs_right", "Asymptotics.isBigOWith_comm", "Asymptotics.isBigOWith_congr", "Asymptotics.isBigOWith_const_const", "Asymptotics.isBigOWith_fst_prod", "Asymptotics.isBigOWith_iff_exists_eq_mul", "Asymptotics.isBigOWith_insert", "Asymptotics.isBigOWith_inv", "Asymptotics.isBigOWith_map", "Asymptotics.isBigOWith_neg_left", "Asymptotics.isBigOWith_neg_right", "Asymptotics.isBigOWith_norm_left", "Asymptotics.isBigOWith_norm_norm", "Asymptotics.isBigOWith_norm_right", "Asymptotics.isBigOWith_of_eq_mul", "Asymptotics.isBigOWith_of_le", "Asymptotics.isBigOWith_pi", "Asymptotics.isBigOWith_principal", "Asymptotics.isBigOWith_prod_left", "Asymptotics.isBigOWith_pure", "Asymptotics.isBigOWith_refl", "Asymptotics.isBigOWith_self_const_mul'", "Asymptotics.isBigOWith_snd_prod", "Asymptotics.isBigOWith_top", "Asymptotics.isBigOWith_zero", "Asymptotics.isBigOWith_zero_right_iff", "Asymptotics.isBigO_abs_abs", "Asymptotics.isBigO_abs_left", "Asymptotics.isBigO_abs_right", "Asymptotics.isBigO_atTop_iff_eventually_exists", "Asymptotics.isBigO_atTop_iff_eventually_exists_pos", "Asymptotics.isBigO_cofinite_iff", "Asymptotics.isBigO_comm", "Asymptotics.isBigO_congr", "Asymptotics.isBigO_const_const", "Asymptotics.isBigO_const_const_iff", "Asymptotics.isBigO_const_iff", "Asymptotics.isBigO_const_left_iff_pos_le_norm", "Asymptotics.isBigO_const_mul_left_iff", "Asymptotics.isBigO_const_mul_left_iff'", "Asymptotics.isBigO_const_mul_right_iff'", "Asymptotics.isBigO_const_of_ne", "Asymptotics.isBigO_const_one", "Asymptotics.isBigO_const_smul_left", "Asymptotics.isBigO_fst_prod", "Asymptotics.isBigO_iff'", "Asymptotics.isBigO_iff''", "Asymptotics.isBigO_iff_div_isBoundedUnder", "Asymptotics.isBigO_iff_eventually", "Asymptotics.isBigO_iff_eventually_isBigOWith", "Asymptotics.isBigO_iff_exists_eq_mul", "Asymptotics.isBigO_iff_isBoundedUnder_le_div", "Asymptotics.isBigO_map", "Asymptotics.isBigO_nat_atTop_iff", "Asymptotics.isBigO_neg_left", "Asymptotics.isBigO_neg_right", "Asymptotics.isBigO_norm_left", "Asymptotics.isBigO_norm_norm", "Asymptotics.isBigO_norm_right", "Asymptotics.isBigO_of_le", "Asymptotics.isBigO_of_subsingleton", "Asymptotics.isBigO_one_iff", "Asymptotics.isBigO_one_nat_atTop_iff", "Asymptotics.isBigO_one_nhds_ne_iff", "Asymptotics.isBigO_pi", "Asymptotics.isBigO_principal", "Asymptotics.isBigO_prod_left", "Asymptotics.isBigO_pure", "Asymptotics.isBigO_refl", "Asymptotics.isBigO_refl_left", "Asymptotics.isBigO_self_const_mul'", "Asymptotics.isBigO_snd_prod", "Asymptotics.isBigO_snd_prod'", "Asymptotics.isBigO_top", "Asymptotics.isEquivalent_const_iff_tendsto", "Asymptotics.isEquivalent_iff_exists_eq_mul", "Asymptotics.isEquivalent_iff_tendsto_one", "Asymptotics.isEquivalent_of_tendsto_one", "Asymptotics.isEquivalent_of_tendsto_one'", "Asymptotics.isEquivalent_zero_iff_eventually_zero", "Asymptotics.isEquivalent_zero_iff_isBigO_zero", "Asymptotics.isLittleO_abs_right", "Asymptotics.isLittleO_comm", "Asymptotics.isLittleO_congr", "Asymptotics.isLittleO_const_const_iff", "Asymptotics.isLittleO_const_id_atBot", "Asymptotics.isLittleO_const_id_atTop", "Asymptotics.isLittleO_const_iff", "Asymptotics.isLittleO_const_iff_isLittleO_one", "Asymptotics.isLittleO_const_left", "Asymptotics.isLittleO_const_left_of_ne", "Asymptotics.isLittleO_const_mul_left_iff", "Asymptotics.isLittleO_const_mul_right_iff", "Asymptotics.isLittleO_const_mul_right_iff'", "Asymptotics.isLittleO_const_smul_left", "Asymptotics.isLittleO_const_smul_right", "Asymptotics.isLittleO_iff", "Asymptotics.isLittleO_iff_exists_eq_mul", "Asymptotics.isLittleO_iff_forall_isBigOWith", "Asymptotics.isLittleO_iff_nat_mul_le_aux", "Asymptotics.isLittleO_iff_tendsto", "Asymptotics.isLittleO_iff_tendsto'", "Asymptotics.isLittleO_insert", "Asymptotics.isLittleO_irrefl", "Asymptotics.isLittleO_irrefl'", "Asymptotics.isLittleO_map", "Asymptotics.isLittleO_neg_left", "Asymptotics.isLittleO_neg_right", "Asymptotics.isLittleO_norm_left", "Asymptotics.isLittleO_norm_pow_id", "Asymptotics.isLittleO_norm_pow_norm_pow", "Asymptotics.isLittleO_norm_right", "Asymptotics.isLittleO_of_subsingleton", "Asymptotics.isLittleO_one_iff", "Asymptotics.isLittleO_one_left_iff", "Asymptotics.isLittleO_pi", "Asymptotics.isLittleO_pow_id", "Asymptotics.isLittleO_pow_pow", "Asymptotics.isLittleO_pow_pow_atTop_of_lt", "Asymptotics.isLittleO_pow_sub_pow_sub", "Asymptotics.isLittleO_principal", "Asymptotics.isLittleO_prod_left", "Asymptotics.isLittleO_pure", "Asymptotics.isLittleO_refl_left", "Asymptotics.isLittleO_sum_range_of_tendsto_zero", "Asymptotics.isLittleO_sup", "Asymptotics.isLittleO_top", "Asymptotics.isLittleO_zero", "Asymptotics.isLittleO_zero_right_iff", "Asymptotics.isTheta_comm", "Asymptotics.isTheta_const_const_iff", "Asymptotics.isTheta_const_mul_left", "Asymptotics.isTheta_const_mul_right", "Asymptotics.isTheta_const_smul_left", "Asymptotics.isTheta_const_smul_right", "Asymptotics.isTheta_inv", "Asymptotics.isTheta_norm_right", "Asymptotics.isTheta_of_norm_eventuallyEq", "Asymptotics.isTheta_of_norm_eventuallyEq'", "Asymptotics.isTheta_refl", "Asymptotics.isTheta_rfl", "Asymptotics.isTheta_zero_left", "Asymptotics.superpolynomialDecay_const_mul_iff", "Asymptotics.superpolynomialDecay_iff_abs_isBoundedUnder", "Asymptotics.superpolynomialDecay_iff_abs_tendsto_zero", "Asymptotics.superpolynomialDecay_iff_isBigO", "Asymptotics.superpolynomialDecay_iff_isLittleO", "Asymptotics.superpolynomialDecay_iff_norm_tendsto_zero", "Asymptotics.superpolynomialDecay_iff_superpolynomialDecay_abs", "Asymptotics.superpolynomialDecay_iff_zpow_tendsto_zero", "Asymptotics.superpolynomialDecay_mul_const_iff", "Asymptotics.superpolynomialDecay_mul_param_iff", "Asymptotics.superpolynomialDecay_mul_param_pow_iff", "Asymptotics.superpolynomialDecay_param_mul_iff", "Asymptotics.superpolynomialDecay_param_pow_mul_iff", "Asymptotics.superpolynomialDecay_zero", "BAll.imp_left", "BEx.imp_left", "BEx.imp_right", "BEx.intro", "Balanced.absorbs_self", "Balanced.add", "Balanced.balancedHull_subset_of_subset", "Balanced.convexHull", "Balanced.inter", "Balanced.neg", "Balanced.neg_eq", "Balanced.neg_mem_iff", "Balanced.smul_mem_mono", "Balanced.smul_mono", "Balanced.starConvex", "Balanced.sub", "Balanced.subset_balancedCore_of_subset", "Balanced.subset_smul", "Balanced.union", "Balanced.zero_insert_interior", "Basis.SmithNormalForm.coord_apply_embedding_eq_smul_coord", "Basis.SmithNormalForm.le_ker_coord_of_nmem_range", "Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smul", "Basis.SmithNormalForm.repr_comp_embedding_eq_smul", "Basis.SmithNormalForm.repr_eq_zero_of_nmem_range", "Basis.abs_det_adjustToOrientation", "Basis.addHaar_eq_iff", "Basis.adjustToOrientation_apply_eq_or_eq_neg", "Basis.algebraMap_injective", "Basis.apply_eq_iff", "Basis.baseChange_end", "Basis.baseChange_linearMap", "Basis.basis_singleton_iff", "Basis.card_le_card_of_linearIndependent", "Basis.card_le_card_of_linearIndependent_aux", "Basis.coePiBasisFun.toMatrix_eq_transpose", "Basis.coe_algebraMapCoeffs", "Basis.coe_constrL", "Basis.coe_dualBasis", "Basis.coe_extend", "Basis.coe_finTwoProd_repr", "Basis.coe_mapCoeffs", "Basis.coe_mk", "Basis.coe_mkFinCons", "Basis.coe_ofEquivFun", "Basis.coe_ofRepr", "Basis.coe_parallelepiped", "Basis.coe_reindex", "Basis.coe_repr_symm", "Basis.coe_sumCoords", "Basis.coe_sumCoords_eq_finsum", "Basis.coe_sumCoords_of_fintype", "Basis.coe_toDual_self", "Basis.coe_toOrthonormalBasis", "Basis.constrL_apply", "Basis.constr_apply", "Basis.constr_apply_fintype", "Basis.constr_basis", "Basis.constr_comp", "Basis.constr_def", "Basis.constr_eq", "Basis.constr_range", "Basis.coord_equivFun_symm", "Basis.coord_repr_symm", "Basis.coord_unitsSMul", "Basis.det_adjustToOrientation", "Basis.det_apply", "Basis.det_comp", "Basis.det_comp_basis", "Basis.det_isEmpty", "Basis.det_isUnitSMul", "Basis.det_map", "Basis.det_map'", "Basis.det_ne_zero", "Basis.det_reindex", "Basis.det_reindex'", "Basis.det_reindex_symm", "Basis.det_self", "Basis.det_smul_mk_coord_eq_det_update", "Basis.det_unitsSMul", "Basis.det_unitsSMul_self", "Basis.dualBasis_apply", "Basis.dualBasis_apply_self", "Basis.dualBasis_equivFun", "Basis.dualBasis_repr", "Basis.dual_rank_eq", "Basis.dvd_coord_smul", "Basis.end_apply", "Basis.end_apply_apply", "Basis.eq_bot_of_rank_eq_zero", "Basis.eq_ofRepr_eq_repr", "Basis.eq_of_apply_eq", "Basis.equivFun_apply", "Basis.equivFun_ofEquivFun", "Basis.equivFun_self", "Basis.equivFun_symm_apply", "Basis.equivFun_symm_stdBasis", "Basis.equiv_apply", "Basis.equiv_refl", "Basis.eval_ker", "Basis.eval_range", "Basis.exists_basis", "Basis.exists_opNNNorm_le", "Basis.exists_opNorm_le", "Basis.ext", "Basis.ext'", "Basis.ext_alternating", "Basis.ext_elem_iff", "Basis.ext_linearIsometry", "Basis.ext_linearIsometryEquiv", "Basis.ext_multilinear", "Basis.ext_multilinear_fin", "Basis.extend_apply_self", "Basis.finTwoProd_zero", "Basis.finite_index_of_rank_lt_aleph0", "Basis.finite_ofVectorSpaceIndex_of_rank_lt_aleph0", "Basis.flag_covBy", "Basis.flag_last", "Basis.flag_le_iff", "Basis.flag_le_ker_coord", "Basis.flag_le_ker_coord_iff", "Basis.flag_le_ker_dual", "Basis.flag_mono", "Basis.flag_strictMono", "Basis.flag_succ", "Basis.flag_wcovBy", "Basis.forall_coord_eq_zero_iff", "Basis.groupSMul_span_eq_top", "Basis.index_nonempty", "Basis.injective", "Basis.isChain_range_flag", "Basis.isMaxChain_range_flag", "Basis.isScalarTower_finsupp", "Basis.isScalarTower_of_nonempty", "Basis.isUnitSMul_apply", "Basis.isUnit_det", "Basis.le_span", "Basis.le_span''", "Basis.linearEquiv_dual_iff_finiteDimensional", "Basis.linearIndependent", "Basis.linearMap_apply", "Basis.linearMap_apply_apply", "Basis.localizationLocalization_apply", "Basis.localizationLocalization_repr_algebraMap", "Basis.localizationLocalization_span", "Basis.mapCoeffs_apply", "Basis.map_addHaar", "Basis.map_orientation_eq_det_inv_smul", "Basis.maximal", "Basis.mem_center_iff", "Basis.mem_ideal_iff", "Basis.mem_ideal_iff'", "Basis.mem_span", "Basis.mem_span_iff_repr_mem", "Basis.mem_span_image", "Basis.mem_span_repr_support", "Basis.mem_submodule_iff", "Basis.mem_submodule_iff'", "Basis.mem_toFlag", "Basis.mk_apply", "Basis.mk_coord_apply", "Basis.mk_eq_rank", "Basis.mk_eq_rank'", "Basis.mk_eq_rank''", "Basis.mk_range_eq_rank", "Basis.mk_repr", "Basis.noZeroSMulDivisors", "Basis.nonempty_fintype_index_of_rank_lt_aleph0", "Basis.ofEquivFun_equivFun", "Basis.ofEquivFun_repr_apply", "Basis.ofIsLocalizedModule_apply", "Basis.ofIsLocalizedModule_repr_apply", "Basis.ofIsLocalizedModule_span", "Basis.ofVectorSpaceIndex.linearIndependent", "Basis.ofVectorSpace_apply_self", "Basis.ofZlatticeBasis_apply", "Basis.ofZlatticeBasis_repr_apply", "Basis.ofZlatticeBasis_span", "Basis.opNNNorm_le", "Basis.opNorm_le", "Basis.orientation_adjustToOrientation", "Basis.orientation_comp_linearEquiv_eq_iff_det_pos", "Basis.orientation_comp_linearEquiv_eq_neg_iff_det_neg", "Basis.orientation_eq_iff_det_pos", "Basis.orientation_eq_or_eq_neg", "Basis.orientation_isEmpty", "Basis.orientation_map", "Basis.orientation_ne_iff_eq_neg", "Basis.orientation_neg_single", "Basis.orientation_reindex", "Basis.orientation_unitsSMul", "Basis.parallelepiped_basisFun", "Basis.parallelepiped_map", "Basis.parallelepiped_reindex", "Basis.prod_addHaar", "Basis.prod_apply", "Basis.prod_apply_inl_fst", "Basis.prod_apply_inl_snd", "Basis.prod_apply_inr_fst", "Basis.prod_apply_inr_snd", "Basis.prod_parallelepiped", "Basis.prod_repr_inr", "Basis.range_extend", "Basis.range_ofVectorSpace", "Basis.range_reindex", "Basis.reindexFinsetRange_apply", "Basis.reindexFinsetRange_repr", "Basis.reindexFinsetRange_repr_self", "Basis.reindexFinsetRange_self", "Basis.reindexRange_apply", "Basis.reindexRange_repr", "Basis.reindexRange_repr'", "Basis.reindexRange_repr_self", "Basis.reindexRange_self", "Basis.reindex_apply", "Basis.repr_apply_eq", "Basis.repr_eq_iff", "Basis.repr_injective", "Basis.repr_range", "Basis.repr_reindex", "Basis.repr_reindex_apply", "Basis.repr_self", "Basis.repr_self_apply", "Basis.repr_sum_self", "Basis.repr_support_subset_of_mem_span", "Basis.repr_symm_apply", "Basis.repr_symm_single", "Basis.restrictScalars_apply", "Basis.restrictScalars_repr_apply", "Basis.restrictScalars_toMatrix", "Basis.self_mem_flag", "Basis.self_mem_span_image", "Basis.singleton_repr", "Basis.smul_apply", "Basis.smul_eq_zero", "Basis.smul_repr", "Basis.smul_repr_mk", "Basis.span_apply", "Basis.span_eq", "Basis.subset_extend", "Basis.sumCoords_reindex", "Basis.sumCoords_self_apply", "Basis.sum_dual_apply_smul_coord", "Basis.sum_repr", "Basis.sum_repr_mul_repr", "Basis.sum_toMatrix_smul_self", "Basis.tensorProduct_apply", "Basis.tensorProduct_apply'", "Basis.tensorProduct_repr_tmul_apply", "Basis.toBasis_toOrthonormalBasis", "Basis.toDual_apply", "Basis.toDual_apply_left", "Basis.toDual_apply_right", "Basis.toDual_inj", "Basis.toDual_injective", "Basis.toDual_ker", "Basis.toDual_range", "Basis.toDual_toDual", "Basis.toDual_total_left", "Basis.toDual_total_right", "Basis.toLin_toMatrix", "Basis.toMatrix_apply", "Basis.toMatrix_eq_toMatrix_constr", "Basis.toMatrix_map", "Basis.toMatrix_map_vecMul", "Basis.toMatrix_mul_toMatrix", "Basis.toMatrix_mul_toMatrix_flip", "Basis.toMatrix_reindex", "Basis.toMatrix_reindex'", "Basis.toMatrix_self", "Basis.toMatrix_smul", "Basis.toMatrix_transpose_apply", "Basis.toMatrix_unitsSMul", "Basis.toMatrix_update", "Basis.total_coord", "Basis.total_dualBasis", "Basis.unitsSMul_apply", "Basis.units_smul_span_eq_top", "Batteries.AssocList.any_eq", "Batteries.AssocList.beq_cons_nil", "Batteries.AssocList.beq_cons\u2082", "Batteries.AssocList.beq_eq", "Batteries.AssocList.beq_nil_cons", "Batteries.AssocList.beq_nil\u2082", "Batteries.AssocList.contains_eq", "Batteries.AssocList.empty_eq", "Batteries.AssocList.find?_eq_findEntry?", "Batteries.AssocList.findEntry?_eq", "Batteries.AssocList.foldlM_eq", "Batteries.AssocList.foldl_eq", "Batteries.AssocList.forIn_eq", "Batteries.AssocList.isEmpty_eq", "Batteries.AssocList.length_cons", "Batteries.AssocList.length_mapVal", "Batteries.AssocList.length_modify", "Batteries.AssocList.length_toList", "Batteries.AssocList.toList_eq_toListTR", "Batteries.AssocList.toList_erase", "Batteries.AssocList.toList_eraseP", "Batteries.AssocList.toList_mapKey", "Batteries.AssocList.toList_mapVal", "Batteries.AssocList.toList_modify", "Batteries.AssocList.toList_toAssocList", "Batteries.BEqCmp.cmp_iff_eq", "Batteries.BEqCmp.compareOfLessAndEq", "Batteries.BinaryHeap.size_heapifyDown", "Batteries.BinaryHeap.size_heapifyUp", "Batteries.BinaryHeap.size_insert", "Batteries.BinaryHeap.size_mkHeap", "Batteries.BinaryHeap.size_popMax", "Batteries.BinaryHeap.size_pos_of_max", "Batteries.BinomialHeap.Imp.Heap.WF.deleteMin", "Batteries.BinomialHeap.Imp.Heap.WF.merge'", "Batteries.BinomialHeap.Imp.Heap.WF.of_le", "Batteries.BinomialHeap.Imp.Heap.WF.of_rankGT", "Batteries.BinomialHeap.Imp.Heap.WF.singleton", "Batteries.BinomialHeap.Imp.Heap.WF.size_eq", "Batteries.BinomialHeap.Imp.Heap.WF.tail", "Batteries.BinomialHeap.Imp.Heap.WF.tail?", "Batteries.BinomialHeap.Imp.Heap.deleteMin_fst", "Batteries.BinomialHeap.Imp.Heap.findMin_val", "Batteries.BinomialHeap.Imp.Heap.rankGT.of_le", "Batteries.BinomialHeap.Imp.Heap.realSize_deleteMin", "Batteries.BinomialHeap.Imp.Heap.realSize_findMin", "Batteries.BinomialHeap.Imp.Heap.realSize_merge", "Batteries.BinomialHeap.Imp.Heap.realSize_tail", "Batteries.BinomialHeap.Imp.Heap.realSize_tail?", "Batteries.BinomialHeap.Imp.HeapNode.WF.rank_eq", "Batteries.BinomialHeap.Imp.HeapNode.WF.realSize_eq", "Batteries.BinomialHeap.Imp.HeapNode.WF.toHeap", "Batteries.BinomialHeap.Imp.HeapNode.rankTR_eq", "Batteries.BinomialHeap.Imp.HeapNode.realSize_toHeap", "Batteries.DList.ofList_toList", "Batteries.DList.toList_append", "Batteries.DList.toList_cons", "Batteries.DList.toList_empty", "Batteries.DList.toList_ofList", "Batteries.DList_singleton", "Batteries.HashMap.Imp.Buckets.WF.mk'", "Batteries.HashMap.Imp.Buckets.WF.update", "Batteries.HashMap.Imp.Buckets.exists_of_update", "Batteries.HashMap.Imp.Buckets.ext", "Batteries.HashMap.Imp.Buckets.mk_size", "Batteries.HashMap.Imp.Buckets.size_eq", "Batteries.HashMap.Imp.Buckets.update_data", "Batteries.HashMap.Imp.Buckets.update_size", "Batteries.HashMap.Imp.Buckets.update_update", "Batteries.HashMap.Imp.WF.filterMap", "Batteries.HashMap.Imp.WF.mapVal", "Batteries.HashMap.Imp.WF.out", "Batteries.HashMap.Imp.WF_iff", "Batteries.HashMap.Imp.empty_val", "Batteries.HashMap.Imp.erase_WF", "Batteries.HashMap.Imp.erase_size", "Batteries.HashMap.Imp.expand_WF", "Batteries.HashMap.Imp.expand_WF.foldl", "Batteries.HashMap.Imp.expand_size", "Batteries.HashMap.Imp.insert_WF", "Batteries.HashMap.Imp.insert_size", "Batteries.HashMap.Imp.mem_replaceF", "Batteries.HashMap.Imp.modify_WF", "Batteries.HashMap.Imp.modify_size", "Batteries.HashMap.Imp.pairwise_replaceF", "Batteries.HashMap.Imp.reinsertAux_WF", "Batteries.HashMap.Imp.reinsertAux_size", "Batteries.HashMap.empty_find?", "Batteries.LECmp.cmp_iff_ge", "Batteries.LTCmp.cmp_iff_gt", "Batteries.LTCmp.compareOfLessAndEq", "Batteries.LTCmp.eq_compareOfLessAndEq", "Batteries.LawfulCmp.compareOfLessAndEq", "Batteries.OrientedCmp.cmp_eq_eq_symm", "Batteries.OrientedCmp.cmp_eq_gt", "Batteries.OrientedCmp.cmp_refl", "Batteries.OrientedOrd.instLexOrd", "Batteries.OrientedOrd.instOn", "Batteries.OrientedOrd.instOpposite", "Batteries.OrientedOrd.instOrdLex'", "Batteries.PairingHeapImp.Heap.WF.combine", "Batteries.PairingHeapImp.Heap.WF.merge_node", "Batteries.PairingHeapImp.Heap.WF.tail", "Batteries.PairingHeapImp.Heap.WF.tail?", "Batteries.PairingHeapImp.Heap.deleteMin_fst", "Batteries.PairingHeapImp.Heap.noSibling_combine", "Batteries.PairingHeapImp.Heap.noSibling_deleteMin", "Batteries.PairingHeapImp.Heap.noSibling_merge", "Batteries.PairingHeapImp.Heap.noSibling_tail", "Batteries.PairingHeapImp.Heap.noSibling_tail?", "Batteries.PairingHeapImp.Heap.size_combine", "Batteries.PairingHeapImp.Heap.size_deleteMin", "Batteries.PairingHeapImp.Heap.size_deleteMin_lt", "Batteries.PairingHeapImp.Heap.size_merge", "Batteries.PairingHeapImp.Heap.size_merge_node", "Batteries.PairingHeapImp.Heap.size_tail", "Batteries.PairingHeapImp.Heap.size_tail?", "Batteries.PairingHeapImp.Heap.size_tail?_lt", "Batteries.RBNode.All.balLeft", "Batteries.RBNode.All.balRight", "Batteries.RBNode.All.del", "Batteries.RBNode.All.imp", "Batteries.RBNode.All.ins", "Batteries.RBNode.All.lowerBound?", "Batteries.RBNode.All.lowerBound?_lb", "Batteries.RBNode.All.map", "Batteries.RBNode.All.reverse", "Batteries.RBNode.All.setRed", "Batteries.RBNode.All.trivial", "Batteries.RBNode.All.upperBound?", "Batteries.RBNode.All.upperBound?_ub", "Batteries.RBNode.All_and", "Batteries.RBNode.All_def", "Batteries.RBNode.Any_def", "Batteries.RBNode.Any_reverse", "Batteries.RBNode.Balanced.alter", "Batteries.RBNode.Balanced.append", "Batteries.RBNode.Balanced.balLeft", "Batteries.RBNode.Balanced.balRight", "Batteries.RBNode.Balanced.del", "Batteries.RBNode.Balanced.depth_bound", "Batteries.RBNode.Balanced.erase", "Batteries.RBNode.Balanced.ins", "Batteries.RBNode.Balanced.insert", "Batteries.RBNode.Balanced.le_size", "Batteries.RBNode.Balanced.map", "Batteries.RBNode.Balanced.reverse", "Batteries.RBNode.Balanced.setBlack", "Batteries.RBNode.Balanced.zoom", "Batteries.RBNode.DelProp.redred", "Batteries.RBNode.IsCut.congr", "Batteries.RBNode.IsCut.gt_trans", "Batteries.RBNode.IsCut.lt_trans", "Batteries.RBNode.Mem_reverse", "Batteries.RBNode.Ordered.alter", "Batteries.RBNode.Ordered.balLeft", "Batteries.RBNode.Ordered.balRight", "Batteries.RBNode.Ordered.balance1", "Batteries.RBNode.Ordered.balance2", "Batteries.RBNode.Ordered.del", "Batteries.RBNode.Ordered.erase", "Batteries.RBNode.Ordered.find?_some", "Batteries.RBNode.Ordered.ins", "Batteries.RBNode.Ordered.insert", "Batteries.RBNode.Ordered.le_max?", "Batteries.RBNode.Ordered.lowerBound?_exists", "Batteries.RBNode.Ordered.lowerBound?_greatest", "Batteries.RBNode.Ordered.lowerBound?_greatest_lb", "Batteries.RBNode.Ordered.lowerBound?_lt", "Batteries.RBNode.Ordered.lt_upperBound?", "Batteries.RBNode.Ordered.map", "Batteries.RBNode.Ordered.memP_iff_find?", "Batteries.RBNode.Ordered.memP_iff_lowerBound?", "Batteries.RBNode.Ordered.memP_iff_upperBound?", "Batteries.RBNode.Ordered.min?_le", "Batteries.RBNode.Ordered.modify", "Batteries.RBNode.Ordered.reverse", "Batteries.RBNode.Ordered.setBlack", "Batteries.RBNode.Ordered.setRed", "Batteries.RBNode.Ordered.unique", "Batteries.RBNode.Ordered.upperBound?_exists", "Batteries.RBNode.Ordered.upperBound?_least_ub", "Batteries.RBNode.Ordered.zoom", "Batteries.RBNode.Path.Balanced.del", "Batteries.RBNode.Path.Balanced.ins", "Batteries.RBNode.Path.Balanced.insertNew", "Batteries.RBNode.Path.Ordered.del", "Batteries.RBNode.Path.Ordered.erase", "Batteries.RBNode.Path.Ordered.fill", "Batteries.RBNode.Path.Ordered.ins", "Batteries.RBNode.Path.Ordered.insertNew", "Batteries.RBNode.Path.Zoomed.toRootOrdered", "Batteries.RBNode.Path.fill_toList", "Batteries.RBNode.Path.ins_eq_fill", "Batteries.RBNode.Path.ins_toList", "Batteries.RBNode.Path.insertNew_eq_insert", "Batteries.RBNode.Path.insertNew_toList", "Batteries.RBNode.Path.insert_toList", "Batteries.RBNode.Path.ordered_iff", "Batteries.RBNode.Path.rootOrdered_iff", "Batteries.RBNode.Path.zoom_del", "Batteries.RBNode.Path.zoom_fill", "Batteries.RBNode.Path.zoom_fill'", "Batteries.RBNode.Path.zoom_ins", "Batteries.RBNode.Path.zoom_insert", "Batteries.RBNode.Path.zoom_zoomed\u2081", "Batteries.RBNode.Path.zoom_zoomed\u2082", "Batteries.RBNode.RedRed.balance1", "Batteries.RBNode.RedRed.balance2", "Batteries.RBNode.RedRed.imp", "Batteries.RBNode.RedRed.reverse", "Batteries.RBNode.RedRed.setBlack", "Batteries.RBNode.Stream.foldl_eq_foldl_toList", "Batteries.RBNode.Stream.foldr_cons", "Batteries.RBNode.Stream.foldr_eq_foldr_toList", "Batteries.RBNode.Stream.forIn_eq_forIn_toList", "Batteries.RBNode.Stream.next?_toList", "Batteries.RBNode.Stream.toList_cons", "Batteries.RBNode.WF.depth_bound", "Batteries.RBNode.WF.modify", "Batteries.RBNode.WF.out", "Batteries.RBNode.WF_iff", "Batteries.RBNode.all_iff", "Batteries.RBNode.any_iff", "Batteries.RBNode.balLeft_toList", "Batteries.RBNode.balRight_toList", "Batteries.RBNode.balance1_All", "Batteries.RBNode.balance1_eq", "Batteries.RBNode.balance1_toList", "Batteries.RBNode.balance2_All", "Batteries.RBNode.balance2_eq", "Batteries.RBNode.balance2_toList", "Batteries.RBNode.cmpEq.RootOrdered_congr", "Batteries.RBNode.cmpEq_iff", "Batteries.RBNode.cmpLT.flip", "Batteries.RBNode.cmpLT.trans", "Batteries.RBNode.cmpLT.trans_l", "Batteries.RBNode.depthLB_le", "Batteries.RBNode.exists_find?_insert_self", "Batteries.RBNode.exists_insert_toList_zoom_nil", "Batteries.RBNode.exists_insert_toList_zoom_node", "Batteries.RBNode.find?_eq_zoom", "Batteries.RBNode.find?_reverse", "Batteries.RBNode.find?_some_eq_eq", "Batteries.RBNode.find?_some_mem", "Batteries.RBNode.find?_some_memP", "Batteries.RBNode.foldlM_eq_foldlM_toList", "Batteries.RBNode.foldl_reverse", "Batteries.RBNode.foldr_cons", "Batteries.RBNode.foldr_eq_foldr_toList", "Batteries.RBNode.foldr_reverse", "Batteries.RBNode.forIn_eq_forIn_toList", "Batteries.RBNode.forIn_visit_eq_bindList", "Batteries.RBNode.forM_eq_forM_toList", "Batteries.RBNode.insert_setBlack", "Batteries.RBNode.insert_toList_zoom", "Batteries.RBNode.insert_toList_zoom_nil", "Batteries.RBNode.insert_toList_zoom_node", "Batteries.RBNode.isOrdered_iff'", "Batteries.RBNode.lowerBound?_eq_find?", "Batteries.RBNode.lowerBound?_le", "Batteries.RBNode.lowerBound?_le'", "Batteries.RBNode.lowerBound?_of_some", "Batteries.RBNode.lowerBound?_reverse", "Batteries.RBNode.max?_eq_toList_getLast?", "Batteries.RBNode.max?_mem", "Batteries.RBNode.max?_reverse", "Batteries.RBNode.memP_reverse", "Batteries.RBNode.mem_congr", "Batteries.RBNode.mem_def", "Batteries.RBNode.mem_insert", "Batteries.RBNode.mem_insert_of_mem", "Batteries.RBNode.mem_insert_self", "Batteries.RBNode.mem_node", "Batteries.RBNode.mem_reverse", "Batteries.RBNode.mem_toList", "Batteries.RBNode.min?_eq_toList_head?", "Batteries.RBNode.min?_mem", "Batteries.RBNode.min?_reverse", "Batteries.RBNode.modify_eq_alter", "Batteries.RBNode.ordered_iff", "Batteries.RBNode.reverse_balLeft", "Batteries.RBNode.reverse_balRight", "Batteries.RBNode.reverse_balance1", "Batteries.RBNode.reverse_balance2", "Batteries.RBNode.reverse_eq_iff", "Batteries.RBNode.reverse_ins", "Batteries.RBNode.reverse_insert", "Batteries.RBNode.reverse_reverse", "Batteries.RBNode.reverse_setBlack", "Batteries.RBNode.reverse_setRed", "Batteries.RBNode.reverse_size", "Batteries.RBNode.setBlack_idem", "Batteries.RBNode.setRed_toList", "Batteries.RBNode.size_lt_depth", "Batteries.RBNode.toList_nil", "Batteries.RBNode.toList_node", "Batteries.RBNode.toList_reverse", "Batteries.RBNode.toStream_toList", "Batteries.RBNode.toStream_toList'", "Batteries.RBNode.upperBound?_eq_find?", "Batteries.RBNode.upperBound?_ge'", "Batteries.RBNode.upperBound?_mem", "Batteries.RBNode.upperBound?_mem_ub", "Batteries.RBNode.upperBound?_of_some", "Batteries.RBNode.upperBound?_reverse", "Batteries.RBNode.zoom_toList", "Batteries.RBSet.ModifyWF.of_eq", "Batteries.RBSet.contains_iff", "Batteries.RBSet.default_eq", "Batteries.RBSet.empty_eq", "Batteries.RBSet.empty_toList", "Batteries.RBSet.find?_some", "Batteries.RBSet.find?_some_eq_eq", "Batteries.RBSet.find?_some_mem_toList", "Batteries.RBSet.findP?_insert", "Batteries.RBSet.findP?_insert_of_eq", "Batteries.RBSet.findP?_insert_of_ne", "Batteries.RBSet.findP?_some", "Batteries.RBSet.foldlM_eq_foldlM_toList", "Batteries.RBSet.foldl_eq_foldl_toList", "Batteries.RBSet.foldr_eq_foldr_toList", "Batteries.RBSet.forIn_eq_forIn_toList", "Batteries.RBSet.lowerBound?_eq_find?", "Batteries.RBSet.lowerBound?_le", "Batteries.RBSet.lowerBound?_lt", "Batteries.RBSet.lowerBound?_mem", "Batteries.RBSet.lowerBound?_mem_toList", "Batteries.RBSet.lowerBoundP?_exists", "Batteries.RBSet.lowerBoundP?_greatest", "Batteries.RBSet.lowerBoundP?_le", "Batteries.RBSet.lowerBoundP?_lt", "Batteries.RBSet.lowerBoundP?_mem", "Batteries.RBSet.lowerBoundP?_mem_toList", "Batteries.RBSet.lt_upperBound?", "Batteries.RBSet.lt_upperBoundP?", "Batteries.RBSet.memP_iff_findP?", "Batteries.RBSet.memP_iff_lowerBoundP?", "Batteries.RBSet.mem_congr", "Batteries.RBSet.mem_iff_find?", "Batteries.RBSet.mem_iff_mem_toList", "Batteries.RBSet.mem_iff_upperBound?", "Batteries.RBSet.mem_insert", "Batteries.RBSet.mem_insert_of_eq", "Batteries.RBSet.mem_of_mem_toList", "Batteries.RBSet.mem_toList", "Batteries.RBSet.mem_toList_insert", "Batteries.RBSet.mem_toList_insert_of_mem", "Batteries.RBSet.mem_toList_insert_self", "Batteries.RBSet.mem_toList_unique", "Batteries.RBSet.toList_sorted", "Batteries.RBSet.toStream_toList", "Batteries.RBSet.upperBound?_exists", "Batteries.RBSet.upperBound?_mem", "Batteries.RBSet.upperBoundP?_eq_findP?", "Batteries.RBSet.upperBoundP?_exists", "Batteries.RBSet.upperBoundP?_ge", "Batteries.RBSet.upperBoundP?_mem", "Batteries.RBSet.upperBoundP?_mem_toList", "Batteries.RBSet.val_toList", "Batteries.TransCmp.cmp_congr_left", "Batteries.TransCmp.cmp_congr_left'", "Batteries.TransCmp.cmp_congr_right", "Batteries.TransCmp.compareOfLessAndEq", "Batteries.TransCmp.compareOfLessAndEq_of_le", "Batteries.TransCmp.ge_trans", "Batteries.TransCmp.gt_trans", "Batteries.TransCmp.le_lt_trans", "Batteries.TransCmp.lt_asymm", "Batteries.TransCmp.lt_le_trans", "Batteries.TransOrd.instLexOrd", "Batteries.TransOrd.instOn", "Batteries.TransOrd.instOpposite", "Batteries.TransOrd.instOrdLex'", "Batteries.UnionFind.Equiv.rfl", "Batteries.UnionFind.arr_link", "Batteries.UnionFind.arr_push", "Batteries.UnionFind.equiv_empty", "Batteries.UnionFind.equiv_find", "Batteries.UnionFind.equiv_link", "Batteries.UnionFind.equiv_push", "Batteries.UnionFind.equiv_rootD", "Batteries.UnionFind.equiv_rootD_l", "Batteries.UnionFind.equiv_rootD_r", "Batteries.UnionFind.equiv_union", "Batteries.UnionFind.findAux_root", "Batteries.UnionFind.findAux_s", "Batteries.UnionFind.find_parent_1", "Batteries.UnionFind.find_parent_or", "Batteries.UnionFind.find_root_1", "Batteries.UnionFind.find_root_2", "Batteries.UnionFind.find_size", "Batteries.UnionFind.le_rank_root", "Batteries.UnionFind.lt_of_parentD", "Batteries.UnionFind.lt_rankD_findAux", "Batteries.UnionFind.lt_rankMax", "Batteries.UnionFind.lt_rank_root", "Batteries.UnionFind.panicWith_eq", "Batteries.UnionFind.parent'_lt", "Batteries.UnionFind.parentD_eq", "Batteries.UnionFind.parentD_findAux", "Batteries.UnionFind.parentD_findAux_lt", "Batteries.UnionFind.parentD_findAux_or", "Batteries.UnionFind.parentD_findAux_rootD", "Batteries.UnionFind.parentD_linkAux", "Batteries.UnionFind.parentD_of_not_lt", "Batteries.UnionFind.parentD_push", "Batteries.UnionFind.parentD_set", "Batteries.UnionFind.parent_link", "Batteries.UnionFind.parent_lt", "Batteries.UnionFind.parent_root", "Batteries.UnionFind.parent_rootD", "Batteries.UnionFind.push_parentD", "Batteries.UnionFind.push_rankD", "Batteries.UnionFind.rank'_lt", "Batteries.UnionFind.rank'_lt_rankMax", "Batteries.UnionFind.rankD_eq", "Batteries.UnionFind.rankD_findAux", "Batteries.UnionFind.rankD_lt_rankMax", "Batteries.UnionFind.rankD_push", "Batteries.UnionFind.rankD_set", "Batteries.UnionFind.rankMax_push", "Batteries.UnionFind.rank_empty", "Batteries.UnionFind.rootD_eq_self", "Batteries.UnionFind.rootD_ext", "Batteries.UnionFind.rootD_lt", "Batteries.UnionFind.rootD_parent", "Batteries.UnionFind.rootD_rootD", "Batteries.UnionFind.root_link", "Batteries.UnionFind.root_push", "Batteries.UnionFind.setParentBump_rankD_lt", "Batteries.UnionFind.setParent_rankD_lt", "Batteries.compareOfLessAndEq_eq_lt", "BddAbove.bddBelow_image2_of_bddAbove", "BddAbove.continuous_convolution_left_of_integrable", "BddAbove.continuous_convolution_right_of_integrable", "BddAbove.convolutionExistsAt", "BddAbove.convolutionExistsAt'", "BddAbove.dual", "BddAbove.image2_bddBelow", "BddAbove.insert", "BddAbove.inter_of_left", "BddAbove.inter_of_right", "BddAbove.inv", "BddAbove.isBounded", "BddAbove.isBoundedUnder", "BddAbove.isBounded_inter", "BddAbove.mono", "BddAbove.mul", "BddAbove.of_closure", "BddAbove.range_comp", "BddAbove.range_inv", "BddAbove.range_mono", "BddAbove.range_mul", "BddAbove.smul_of_nonneg", "BddAbove.smul_of_nonpos", "BddAbove.union", "BddAbove.wellFoundedOn_gt", "BddBelow.bddAbove_image2_of_bddAbove", "BddBelow.bddBelow_image2_of_bddAbove", "BddBelow.dual", "BddBelow.exists_le", "BddBelow.finite_of_bddAbove", "BddBelow.image2_bddAbove", "BddBelow.inter_of_right", "BddBelow.inv", "BddBelow.isBounded", "BddBelow.isBoundedUnder", "BddBelow.mono", "BddBelow.range_comp", "BddBelow.range_inv", "BddBelow.range_mono", "BddBelow.union", "BddBelow.wellFoundedOn_lt", "BddDistLat.coe_toBddLat", "BddDistLat.forget_bddLat_lat_eq_forget_distLat_lat", "BddLat.coe_forget_to_bddOrd", "BddLat.coe_forget_to_lat", "BddLat.coe_forget_to_semilatInf", "BddLat.coe_of", "BddLat.forget_lat_partOrd_eq_forget_bddOrd_partOrd", "BddLat.forget_semilatInf_partOrd_eq_forget_bddOrd_partOrd", "BddLat.forget_semilatSup_partOrd_eq_forget_bddOrd_partOrd", "BddOrd.coe_of", "Beatty.hit_or_miss", "Beatty.hit_or_miss'", "Beatty.no_anticollision", "Beatty.no_collision", "Behrend.bound", "Behrend.bound_aux", "Behrend.box_zero", "Behrend.card_sphere_le_rothNumberNat", "Behrend.ceil_lt_mul", "Behrend.dValue_pos", "Behrend.div_lt_floor", "Behrend.exists_large_sphere", "Behrend.exists_large_sphere_aux", "Behrend.exp_four_lt", "Behrend.exp_neg_two_mul_le", "Behrend.four_zero_nine_six_lt_exp_sixteen", "Behrend.le_N", "Behrend.le_sqrt_log", "Behrend.log_two_mul_two_le_sqrt_log_eight", "Behrend.lower_bound_le_one'", "Behrend.map_eq_iff", "Behrend.map_injOn", "Behrend.map_le_of_mem_box", "Behrend.map_mod", "Behrend.map_monotone", "Behrend.map_succ", "Behrend.map_succ'", "Behrend.map_zero", "Behrend.mem_box", "Behrend.nValue_pos", "Behrend.norm_of_mem_sphere", "Behrend.roth_lower_bound", "Behrend.roth_lower_bound_explicit", "Behrend.sphere_subset_box", "Behrend.sphere_subset_preimage_metric_sphere", "Behrend.sphere_zero_right", "Behrend.sphere_zero_subset", "Behrend.sum_eq", "Behrend.sum_lt", "Behrend.sum_sq_le_of_mem_box", "Behrend.threeAPFree_image_sphere", "Behrend.threeAPFree_sphere", "Behrend.three_le_nValue", "Behrend.two_div_one_sub_two_div_e_le_eight", "Bertrand.real_main_inequality", "Besicovitch.SatelliteConfig.centerAndRescale_radius", "Besicovitch.SatelliteConfig.exists_normalized", "Besicovitch.SatelliteConfig.exists_normalized_aux1", "Besicovitch.SatelliteConfig.exists_normalized_aux2", "Besicovitch.SatelliteConfig.exists_normalized_aux3", "Besicovitch.SatelliteConfig.hlast'", "Besicovitch.SatelliteConfig.inter'", "Besicovitch.TauPackage.color_lt", "Besicovitch.TauPackage.lastStep_nonempty", "Besicovitch.TauPackage.mem_iUnionUpTo_lastStep", "Besicovitch.TauPackage.monotone_iUnionUpTo", "Besicovitch.ae_tendsto_measure_inter_div", "Besicovitch.ae_tendsto_measure_inter_div_of_measurableSet", "Besicovitch.ae_tendsto_rnDeriv", "Besicovitch.card_le_multiplicity", "Besicovitch.card_le_multiplicity_of_\u03b4", "Besicovitch.card_le_of_separated", "Besicovitch.exist_disjoint_covering_families", "Besicovitch.exist_finset_disjoint_balls_large_measure", "Besicovitch.exists_closedBall_covering_tsum_measure_le", "Besicovitch.exists_disjoint_closedBall_covering_ae", "Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_aux", "Besicovitch.exists_good\u03b4", "Besicovitch.good\u03b4_lt_one", "Besicovitch.isEmpty_satelliteConfig_multiplicity", "Besicovitch.le_multiplicity_of_\u03b4_of_fin", "Besicovitch.multiplicity_le", "Besicovitch.one_lt_good\u03c4", "Besicovitch.tendsto_filterAt", "BialgEquiv.coe_mk", "BialgEquiv.coe_toAlgEquiv", "BialgEquiv.coe_toBialgHom", "BialgEquiv.coe_toCoalgEquiv", "BialgEquiv.coe_toEquiv_symm", "BialgEquiv.coe_toEquiv_trans", "BialgEquiv.ext", "BialgEquiv.invFun_eq_symm", "BialgEquiv.refl_toBialgHom", "BialgEquiv.symm_toCoalgEquiv", "BialgEquiv.toBialgHom_eq_coe", "BialgEquiv.toBialgHom_inj", "BialgEquiv.toBialgHom_toAlgHom", "BialgEquiv.toBialgebraCatIso_refl", "BialgEquiv.toBialgebraCatIso_trans", "BialgEquiv.toCoalgEquiv_eq_coe", "BialgEquiv.toCoalgEquiv_toCoalgHom", "BialgEquiv.toEquiv_inj", "BialgEquiv.trans_toBialgHom", "BialgEquiv.trans_toCoalgEquiv", "BialgHom.coe_algHom_injective", "BialgHom.coe_coalgHom_injective", "BialgHom.coe_coe", "BialgHom.coe_comp", "BialgHom.coe_fn_inj", "BialgHom.coe_fn_injective", "BialgHom.coe_id", "BialgHom.coe_mk", "BialgHom.coe_mks", "BialgHom.coe_toAlgHom", "BialgHom.coe_toCoalgHom", "BialgHom.coe_toLinearMap", "BialgHom.comp_id", "BialgHom.comp_toAlgHom", "BialgHom.congr_fun", "BialgHom.copy_eq", "BialgHom.ext", "BialgHom.ext_of_ring", "BialgHom.id_comp", "BialgHom.id_toAlgHom", "BialgHom.id_toCoalgHom", "BialgHom.map_smul_of_tower", "BialgHom.mk_coe", "BialgHom.toAlgHom_toLinearMap", "BialgHomClass.map_comp_comulAlgHom", "Bialgebra.comul_algebraMap", "Bialgebra.comul_mul", "Bialgebra.comul_natCast", "Bialgebra.counit_algebraMap", "Bialgebra.counit_pow", "BialgebraCat.forget\u2082_algebra_map", "BialgebraCat.forget\u2082_algebra_obj", "BialgebraCat.forget\u2082_coalgebra_obj", "BialgebraCat.hom_ext", "BialgebraCat.of_comul", "BialgebraCat.toBialgHom_id", "Bifunctor.comp_fst", "Bifunctor.fst_snd", "Bifunctor.id_fst", "Bifunctor.id_snd", "Bifunctor.mapEquiv_apply", "Bifunctor.mapEquiv_symm_apply", "BiheytingHom.cancel_left", "BiheytingHom.cancel_right", "BiheytingHom.coe_comp", "BiheytingHom.coe_copy", "BiheytingHom.coe_id", "BiheytingHom.comp_apply", "BiheytingHom.comp_assoc", "BiheytingHom.comp_id", "BiheytingHom.copy_eq", "BiheytingHom.ext", "BiheytingHom.id_apply", "BiheytingHom.id_comp", "BiheytingHom.toFun_eq_coe_aux", "BilinForm.mul_toMatrix_mul", "BilinForm.toLin_apply", "BilinForm.toLin_symm", "BilinForm.toMatrix_apply", "BilinForm.toMatrix_basisFun", "BilinForm.toMatrix_comp", "BilinForm.toMatrix_compLeft", "BilinForm.toMatrix_mul_basis_toMatrix", "BilinForm.toMatrix_symm", "BilinearForm.toMatrixAux_eq", "Bimod.AssociatorBimod.hom_inv_id", "Bimod.AssociatorBimod.hom_left_act_hom'", "Bimod.AssociatorBimod.hom_right_act_hom'", "Bimod.AssociatorBimod.inv_hom_id", "Bimod.LeftUnitorBimod.hom_inv_id", "Bimod.LeftUnitorBimod.hom_left_act_hom'", "Bimod.LeftUnitorBimod.hom_right_act_hom'", "Bimod.LeftUnitorBimod.inv_hom_id", "Bimod.RightUnitorBimod.hom_inv_id", "Bimod.RightUnitorBimod.hom_left_act_hom'", "Bimod.RightUnitorBimod.hom_right_act_hom'", "Bimod.RightUnitorBimod.inv_hom_id", "Bimod.TensorBimod.actRight_one'", "Bimod.TensorBimod.left_assoc'", "Bimod.TensorBimod.middle_assoc'", "Bimod.TensorBimod.one_act_left'", "Bimod.TensorBimod.right_assoc'", "Bimod.TensorBimod.whiskerLeft_\u03c0_actLeft", "Bimod.TensorBimod.\u03c0_tensor_id_actRight", "Bimod.comp_hom'", "Bimod.comp_whiskerLeft_bimod", "Bimod.hom_ext", "Bimod.id_hom'", "Bimod.id_whiskerLeft_bimod", "Bimod.id_whiskerRight_bimod", "Bimod.pentagon_bimod", "Bimod.triangle_bimod", "Bimod.whiskerLeft_id_bimod", "Bimod.whiskerRight_comp_bimod", "Bimod.whiskerRight_id_bimod", "Bimod.whisker_assoc_bimod", "Bimod.whisker_exchange_bimod", "Bimon_.comp_hom'", "Bimon_.id_hom'", "Bimon_.toComon_forget", "Bipointed.coe_of", "BitVec.toFin_injective", "BitVec.toFin_nsmul", "BitVec.toFin_zsmul", "BitVec.toNat_injective", "Bitraversable.comp_tfst", "Bitraversable.comp_tsnd", "Bitraversable.id_tfst", "Bitraversable.id_tsnd", "Bitraversable.tfst_eq_fst_id", "Bitraversable.tfst_tsnd", "Bitraversable.tsnd_eq_snd_id", "Bitraversable.tsnd_tfst", "Bool.and_elim_left", "Bool.and_elim_right", "Bool.and_eq_false_eq_eq_false_or_eq_false", "Bool.and_eq_true_eq_eq_true_and_eq_true", "Bool.and_le_left", "Bool.and_le_right", "Bool.apply_apply_apply", "Bool.beq_eq_decide_eq", "Bool.bne_eq_xor", "Bool.bool_eq_false", "Bool.bool_iff_false", "Bool.coe_false", "Bool.coe_sort_false", "Bool.coe_sort_true", "Bool.coe_true", "Bool.compl_eq_bnot", "Bool.cond_eq_if", "Bool.cond_eq_ite", "Bool.cond_false", "Bool.cond_true", "Bool.decide_false", "Bool.decide_false_iff", "Bool.decide_iff", "Bool.decide_true", "Bool.dichotomy", "Bool.eq_false_of_not_eq_true", "Bool.eq_false_of_not_eq_true'", "Bool.eq_not_iff", "Bool.eq_or_eq_not", "Bool.eq_true_eq_not_eq_false", "Bool.eq_true_of_not_eq_false'", "Bool.exists_bool", "Bool.exists_bool'", "Bool.false_eq_true_eq_False", "Bool.false_lt_true", "Bool.forall_bool", "Bool.inf_eq_band", "Bool.injective_iff", "Bool.le_iff_imp", "Bool.lt_iff", "Bool.not_eq_true", "Bool.not_eq_true'", "Bool.not_eq_true_eq_eq_false", "Bool.not_false", "Bool.not_iff_not", "Bool.not_ne_self", "Bool.not_true", "Bool.ofNat_le_ofNat", "Bool.ofNat_toNat", "Bool.of_decide_true", "Bool.or_eq_false_eq_eq_false_and_eq_false", "Bool.or_eq_true_eq_eq_true_or_eq_true", "Bool.or_le", "Bool.range_eq", "Bool.right_le_or", "Bool.toNat_beq_one", "Bool.toNat_beq_zero", "Bool.toNat_bne_one", "Bool.toNat_bne_zero", "Bool.toNat_le_toNat", "Bool.true_eq_false_eq_False", "Bool.univ_eq", "BoolAlg.coe_of", "BoolAlg.coe_toBddDistLat", "BoolRing.coe_of", "BooleanAlgebra.eq_iff_atom_le_iff", "BooleanAlgebra.le_iff_atom_le_imp", "BooleanRing.inf_assoc", "BooleanRing.inf_comm", "BooleanRing.inf_sup_self", "BooleanRing.le_sup_inf", "BooleanRing.le_sup_inf_aux", "BooleanRing.sup_assoc", "BooleanRing.sup_comm", "BooleanRing.sup_inf_self", "Booleanisation.comp_bot", "Booleanisation.comp_inf_lift", "Booleanisation.comp_le_comp", "Booleanisation.comp_lt_comp", "Booleanisation.comp_sdiff_comp", "Booleanisation.comp_sup_comp", "Booleanisation.compl_lift", "Booleanisation.liftLatticeHom_injective", "Booleanisation.lift_bot", "Booleanisation.lift_inf_comp", "Booleanisation.lift_le_comp", "Booleanisation.lift_lt_comp", "Booleanisation.lift_sdiff_comp", "Booleanisation.lift_sdiff_lift", "Booleanisation.lift_sup_comp", "Booleanisation.lift_sup_lift", "Booleanisation.not_comp_le_lift", "Booleanisation.not_comp_lt_lift", "Bornology.IsBounded.all", "Bornology.IsBounded.bddAbove", "Bornology.IsBounded.bddBelow", "Bornology.IsBounded.closure", "Bornology.IsBounded.cthickening", "Bornology.IsBounded.div", "Bornology.IsBounded.exists_pos_norm_le'", "Bornology.IsBounded.fst_of_prod", "Bornology.IsBounded.image", "Bornology.IsBounded.image_fst", "Bornology.IsBounded.inv", "Bornology.IsBounded.isCompact_closure", "Bornology.IsBounded.measure_lt_top", "Bornology.IsBounded.mul", "Bornology.IsBounded.pi", "Bornology.IsBounded.reProdIm", "Bornology.IsBounded.smul", "Bornology.IsBounded.subset", "Bornology.IsBounded.subset_Icc_sInf_sSup", "Bornology.IsBounded.subset_ball", "Bornology.IsBounded.subset_ball_lt", "Bornology.IsBounded.subset_closedBall", "Bornology.IsBounded.subset_closedBall_lt", "Bornology.IsBounded.thickening", "Bornology.IsBounded.union", "Bornology.IsCobounded.all", "Bornology.IsCobounded.closedBall_compl_subset", "Bornology.IsCobounded.inter", "Bornology.IsCobounded.superset", "Bornology.IsVonNBounded.add", "Bornology.IsVonNBounded.image", "Bornology.IsVonNBounded.image_multilinear", "Bornology.IsVonNBounded.image_multilinear'", "Bornology.IsVonNBounded.neg", "Bornology.IsVonNBounded.of_add_left", "Bornology.IsVonNBounded.of_add_right", "Bornology.IsVonNBounded.of_sub_right", "Bornology.IsVonNBounded.smul_tendsto_zero", "Bornology.IsVonNBounded.sub", "Bornology.IsVonNBounded.subset", "Bornology.IsVonNBounded.union", "Bornology.IsVonNBounded.vadd", "Bornology.cobounded_eq_bot", "Bornology.cobounded_eq_bot_iff", "Bornology.cobounded_prod", "Bornology.comap_cobounded_le_iff", "Bornology.ext", "Bornology.ext_iff", "Bornology.ext_iff'", "Bornology.isBounded_biUnion", "Bornology.isBounded_biUnion_finset", "Bornology.isBounded_compl_iff", "Bornology.isBounded_def", "Bornology.isBounded_empty", "Bornology.isBounded_iUnion", "Bornology.isBounded_iff_isVonNBounded", "Bornology.isBounded_image_fst_and_snd", "Bornology.isBounded_induced", "Bornology.isBounded_insert", "Bornology.isBounded_ofBounded_iff", "Bornology.isBounded_pi", "Bornology.isBounded_pi_of_nonempty", "Bornology.isBounded_prod", "Bornology.isBounded_prod_of_nonempty", "Bornology.isBounded_prod_self", "Bornology.isBounded_sUnion", "Bornology.isBounded_singleton", "Bornology.isBounded_union", "Bornology.isBounded_univ", "Bornology.isCobounded_biInter", "Bornology.isCobounded_biInter_finset", "Bornology.isCobounded_compl_iff", "Bornology.isCobounded_def", "Bornology.isCobounded_iInter", "Bornology.isCobounded_inter", "Bornology.isCobounded_univ", "Bornology.isVonNBounded_add_of_nonempty", "Bornology.isVonNBounded_biUnion", "Bornology.isVonNBounded_covers", "Bornology.isVonNBounded_iUnion", "Bornology.isVonNBounded_iff_tendsto_smallSets_nhds", "Bornology.isVonNBounded_insert", "Bornology.isVonNBounded_neg", "Bornology.isVonNBounded_of_smul_tendsto_zero", "Bornology.isVonNBounded_pi_iff", "Bornology.isVonNBounded_sUnion", "Bornology.isVonNBounded_sub", "Bornology.isVonNBounded_sub_of_nonempty", "Bornology.isVonNBounded_union", "Bornology.isVonNBounded_vadd", "Bornology.le_cofinite", "Bornology.nonempty_of_not_isBounded", "Bornology.relativelyCompact_eq_inCompact", "Bornology.sUnion_bounded_univ", "BotHom.bot_apply", "BotHom.cancel_left", "BotHom.cancel_right", "BotHom.coe_bot", "BotHom.coe_comp", "BotHom.coe_inf", "BotHom.comp_apply", "BotHom.comp_assoc", "BotHom.comp_id", "BotHom.dual_comp", "BotHom.dual_id", "BotHom.id_comp", "BotHom.symm_dual_comp", "BotHom.symm_dual_id", "BoundedContinuousFunction.Lp_nnnorm_le", "BoundedContinuousFunction.Lp_norm_le", "BoundedContinuousFunction.NNReal.upper_bound", "BoundedContinuousFunction.abs_diff_coe_le_dist", "BoundedContinuousFunction.abs_self_eq_nnrealPart_add_nnrealPart_neg", "BoundedContinuousFunction.add_apply", "BoundedContinuousFunction.add_compContinuous", "BoundedContinuousFunction.add_norm_nonneg", "BoundedContinuousFunction.algebraMap_apply", "BoundedContinuousFunction.apply_le_nndist_zero", "BoundedContinuousFunction.arzela_ascoli\u2081", "BoundedContinuousFunction.arzela_ascoli\u2082", "BoundedContinuousFunction.bounded", "BoundedContinuousFunction.coeFn_toLp", "BoundedContinuousFunction.coe_abs", "BoundedContinuousFunction.coe_add", "BoundedContinuousFunction.coe_mul", "BoundedContinuousFunction.coe_natCast", "BoundedContinuousFunction.coe_neg", "BoundedContinuousFunction.coe_negPart", "BoundedContinuousFunction.coe_npowRec", "BoundedContinuousFunction.coe_nsmul", "BoundedContinuousFunction.coe_nsmulRec", "BoundedContinuousFunction.coe_ofNormedAddCommGroupDiscrete", "BoundedContinuousFunction.coe_one", "BoundedContinuousFunction.coe_posPart", "BoundedContinuousFunction.coe_pow", "BoundedContinuousFunction.coe_restrict", "BoundedContinuousFunction.coe_smul", "BoundedContinuousFunction.coe_star", "BoundedContinuousFunction.coe_sub", "BoundedContinuousFunction.coe_to_continuous_fun", "BoundedContinuousFunction.coe_zsmulRec", "BoundedContinuousFunction.compContinuous_apply", "BoundedContinuousFunction.const_apply'", "BoundedContinuousFunction.continuous", "BoundedContinuousFunction.continuous_comp", "BoundedContinuousFunction.dist_coe_le_dist", "BoundedContinuousFunction.dist_eq", "BoundedContinuousFunction.dist_eq_iSup", "BoundedContinuousFunction.dist_extend_extend", "BoundedContinuousFunction.dist_le", "BoundedContinuousFunction.dist_le_iff_of_nonempty", "BoundedContinuousFunction.dist_le_two_norm", "BoundedContinuousFunction.dist_le_two_norm'", "BoundedContinuousFunction.dist_lt_iff_of_compact", "BoundedContinuousFunction.dist_lt_iff_of_nonempty_compact", "BoundedContinuousFunction.dist_lt_of_nonempty_compact", "BoundedContinuousFunction.dist_mkOfCompact", "BoundedContinuousFunction.dist_set_exists", "BoundedContinuousFunction.dist_toContinuousMap", "BoundedContinuousFunction.dist_zero_of_empty", "BoundedContinuousFunction.eq_of_empty", "BoundedContinuousFunction.evalCLM_apply", "BoundedContinuousFunction.exists_extension_forall_exists_le_ge_of_closedEmbedding", "BoundedContinuousFunction.exists_extension_forall_mem_Icc_of_closedEmbedding", "BoundedContinuousFunction.exists_extension_forall_mem_of_closedEmbedding", "BoundedContinuousFunction.exists_extension_norm_eq_of_closedEmbedding", "BoundedContinuousFunction.exists_extension_norm_eq_of_closedEmbedding'", "BoundedContinuousFunction.exists_forall_mem_restrict_eq_of_closed", "BoundedContinuousFunction.exists_norm_eq_restrict_eq", "BoundedContinuousFunction.exists_norm_eq_restrict_eq_of_closed", "BoundedContinuousFunction.ext", "BoundedContinuousFunction.extend_apply'", "BoundedContinuousFunction.forall_coe_one_iff_one", "BoundedContinuousFunction.inducing_coeFn", "BoundedContinuousFunction.integrable", "BoundedContinuousFunction.integrable_of_nnreal", "BoundedContinuousFunction.integral_add_const", "BoundedContinuousFunction.integral_const_sub", "BoundedContinuousFunction.integral_eq_integral_nnrealPart_sub", "BoundedContinuousFunction.isBounded_image", "BoundedContinuousFunction.isBounded_range", "BoundedContinuousFunction.isBounded_range_integral", "BoundedContinuousFunction.isometry_extend", "BoundedContinuousFunction.lintegral_le_edist_mul", "BoundedContinuousFunction.lintegral_lt_top_of_nnreal", "BoundedContinuousFunction.lintegral_nnnorm_le", "BoundedContinuousFunction.lintegral_of_real_lt_top", "BoundedContinuousFunction.lipschitz_comp", "BoundedContinuousFunction.lipschitz_compContinuous", "BoundedContinuousFunction.lipschitz_evalx", "BoundedContinuousFunction.measurable_coe_ennreal_comp", "BoundedContinuousFunction.mem_Lp", "BoundedContinuousFunction.mkOfCompact_apply", "BoundedContinuousFunction.mkOfCompact_star", "BoundedContinuousFunction.mkOfCompact_sub", "BoundedContinuousFunction.natCast_apply", "BoundedContinuousFunction.neg_norm_le_apply", "BoundedContinuousFunction.nndist_coe_le_nndist", "BoundedContinuousFunction.nndist_eq", "BoundedContinuousFunction.nndist_eq_iSup", "BoundedContinuousFunction.nndist_le_two_nnnorm", "BoundedContinuousFunction.nnnorm_coeFn_eq", "BoundedContinuousFunction.nnnorm_coe_le_nnnorm", "BoundedContinuousFunction.nnnorm_const_le", "BoundedContinuousFunction.nnnorm_def", "BoundedContinuousFunction.nnnorm_eq_iSup_nnnorm", "BoundedContinuousFunction.nnnorm_le", "BoundedContinuousFunction.nnrealPart_coeFn_eq", "BoundedContinuousFunction.norm_coe_le_norm", "BoundedContinuousFunction.norm_compContinuous_le", "BoundedContinuousFunction.norm_const_eq", "BoundedContinuousFunction.norm_const_le", "BoundedContinuousFunction.norm_def", "BoundedContinuousFunction.norm_eq", "BoundedContinuousFunction.norm_eq_iSup_norm", "BoundedContinuousFunction.norm_eq_of_nonempty", "BoundedContinuousFunction.norm_eq_zero_of_empty", "BoundedContinuousFunction.norm_integral_le_mul_norm", "BoundedContinuousFunction.norm_integral_le_norm", "BoundedContinuousFunction.norm_le", "BoundedContinuousFunction.norm_le_of_nonempty", "BoundedContinuousFunction.norm_lt_iff_of_compact", "BoundedContinuousFunction.norm_lt_iff_of_nonempty_compact", "BoundedContinuousFunction.norm_mkOfCompact", "BoundedContinuousFunction.norm_normComp", "BoundedContinuousFunction.norm_sub_nonneg", "BoundedContinuousFunction.norm_toContinuousMap_eq", "BoundedContinuousFunction.one_compContinuous", "BoundedContinuousFunction.pow_apply", "BoundedContinuousFunction.range_toLp", "BoundedContinuousFunction.range_toLpHom", "BoundedContinuousFunction.self_eq_nnrealPart_sub_nnrealPart_neg", "BoundedContinuousFunction.smul_apply", "BoundedContinuousFunction.star_apply", "BoundedContinuousFunction.sub_apply", "BoundedContinuousFunction.sum_apply", "BoundedContinuousFunction.tendsto_iff_tendstoUniformly", "BoundedContinuousFunction.tendsto_integral_of_forall_integral_le_liminf_integral", "BoundedContinuousFunction.tendsto_integral_of_forall_limsup_integral_le_integral", "BoundedContinuousFunction.tietze_extension_step", "BoundedContinuousFunction.toLp_denseRange", "BoundedContinuousFunction.toLp_inj", "BoundedContinuousFunction.toLp_norm_le", "BoundedContinuousFunction.toReal_lintegral_coe_eq_integral", "BoundedContinuousFunction.uniformContinuous_comp", "BoundedContinuousFunction.zsmul_apply", "BoundedLatticeHom.asBoolRing_comp", "BoundedLatticeHom.asBoolRing_id", "BoundedLatticeHom.cancel_right", "BoundedLatticeHom.coe_comp", "BoundedLatticeHom.coe_comp_inf_hom", "BoundedLatticeHom.coe_comp_inf_hom'", "BoundedLatticeHom.coe_comp_lattice_hom", "BoundedLatticeHom.coe_comp_lattice_hom'", "BoundedLatticeHom.coe_comp_sup_hom", "BoundedLatticeHom.coe_mk", "BoundedLatticeHom.coe_toBoundedOrderHom", "BoundedLatticeHom.coe_toInfTopHom", "BoundedLatticeHom.coe_toSupBotHom", "BoundedLatticeHom.comp_apply", "BoundedLatticeHom.comp_id", "BoundedLatticeHom.dual_comp", "BoundedLatticeHom.dual_id", "BoundedLatticeHom.ext", "BoundedLatticeHom.symm_dual_comp", "BoundedLatticeHom.symm_dual_id", "BoundedLatticeHomClass.toBiheytingHomClass", "BoundedOrderHom.cancel_left", "BoundedOrderHom.cancel_right", "BoundedOrderHom.coe_comp", "BoundedOrderHom.coe_comp_botHom", "BoundedOrderHom.coe_comp_orderHom", "BoundedOrderHom.coe_copy", "BoundedOrderHom.comp_assoc", "BoundedOrderHom.comp_id", "BoundedOrderHom.copy_eq", "BoundedOrderHom.dual_comp", "BoundedOrderHom.dual_id", "BoundedOrderHom.ext", "BoundedOrderHom.id_apply", "BoundedOrderHom.id_comp", "BoundedOrderHom.symm_dual_comp", "BoundedOrderHom.symm_dual_id", "BoundedSMul.of_norm_smul_le", "BoundedVariationOn.dist_le", "BoundedVariationOn.sub_le", "BoxIntegral.Box.Icc_def", "BoxIntegral.Box.Icc_eq_pi", "BoxIntegral.Box.Ioo_subset_Icc", "BoxIntegral.Box.Ioo_subset_coe", "BoxIntegral.Box.antitone_lower", "BoxIntegral.Box.biUnion_coe_eq_coe", "BoxIntegral.Box.coe_ae_eq_Icc", "BoxIntegral.Box.coe_coe", "BoxIntegral.Box.coe_eq_pi", "BoxIntegral.Box.coe_inf", "BoxIntegral.Box.coe_inj", "BoxIntegral.Box.coe_mk'", "BoxIntegral.Box.coe_ne_empty", "BoxIntegral.Box.coe_splitLower", "BoxIntegral.Box.coe_splitUpper", "BoxIntegral.Box.continuousOn_face_Icc", "BoxIntegral.Box.diam_Icc_le_of_distortion_le", "BoxIntegral.Box.disjoint_coe", "BoxIntegral.Box.disjoint_splitCenterBox", "BoxIntegral.Box.disjoint_splitLower_splitUpper", "BoxIntegral.Box.disjoint_withBotCoe", "BoxIntegral.Box.dist_le_distortion_mul", "BoxIntegral.Box.distortion_eq_of_sub_eq_div", "BoxIntegral.Box.exists_mem", "BoxIntegral.Box.exists_mem_splitCenterBox", "BoxIntegral.Box.exists_seq_mono_tendsto", "BoxIntegral.Box.exists_taggedPartition_isHenstock_isSubordinate_homothetic", "BoxIntegral.Box.ext", "BoxIntegral.Box.face_mk", "BoxIntegral.Box.face_mono", "BoxIntegral.Box.iUnion_Ioo_of_tendsto", "BoxIntegral.Box.injective_coe", "BoxIntegral.Box.isCompact_Icc", "BoxIntegral.Box.isSome_iff", "BoxIntegral.Box.le_TFAE", "BoxIntegral.Box.le_def", "BoxIntegral.Box.le_iff_Icc", "BoxIntegral.Box.le_iff_bounds", "BoxIntegral.Box.lower_le_upper", "BoxIntegral.Box.lower_mem_Icc", "BoxIntegral.Box.lower_ne_upper", "BoxIntegral.Box.mapsTo_insertNth_face", "BoxIntegral.Box.measurableSet_Ioo", "BoxIntegral.Box.measurableSet_coe", "BoxIntegral.Box.mem_coe", "BoxIntegral.Box.mem_def", "BoxIntegral.Box.mem_mk", "BoxIntegral.Box.mem_splitCenterBox", "BoxIntegral.Box.mem_univ_Ioc", "BoxIntegral.Box.mk'_eq_bot", "BoxIntegral.Box.mk'_eq_coe", "BoxIntegral.Box.monotone_upper", "BoxIntegral.Box.nndist_le_distortion_mul", "BoxIntegral.Box.nonempty_coe", "BoxIntegral.Box.not_disjoint_coe_iff_nonempty_inter", "BoxIntegral.Box.splitLower_def", "BoxIntegral.Box.splitLower_eq_bot", "BoxIntegral.Box.splitLower_eq_self", "BoxIntegral.Box.splitLower_le", "BoxIntegral.Box.splitLower_ne_splitUpper", "BoxIntegral.Box.splitUpper_def", "BoxIntegral.Box.splitUpper_eq_bot", "BoxIntegral.Box.splitUpper_eq_self", "BoxIntegral.Box.subbox_induction_on", "BoxIntegral.Box.subbox_induction_on'", "BoxIntegral.Box.upper_mem", "BoxIntegral.Box.upper_mem_Icc", "BoxIntegral.Box.upper_sub_lower_splitCenterBox", "BoxIntegral.Box.volume_apply", "BoxIntegral.Box.volume_apply'", "BoxIntegral.Box.volume_face_mul", "BoxIntegral.Box.withBotCoe_inj", "BoxIntegral.Box.withBotCoe_subset_iff", "BoxIntegral.BoxAdditiveMap.coe_inj", "BoxIntegral.BoxAdditiveMap.coe_injective", "BoxIntegral.BoxAdditiveMap.coe_mk", "BoxIntegral.BoxAdditiveMap.map_split_add", "BoxIntegral.BoxAdditiveMap.sum_boxes_congr", "BoxIntegral.BoxAdditiveMap.sum_partition_boxes", "BoxIntegral.BoxAdditiveMap.toSMul_apply", "BoxIntegral.BoxAdditiveMap.volume_apply", "BoxIntegral.HasIntegral.add", "BoxIntegral.HasIntegral.congr_ae", "BoxIntegral.HasIntegral.integral_eq", "BoxIntegral.HasIntegral.mcShane_of_forall_isLittleO", "BoxIntegral.HasIntegral.mono", "BoxIntegral.HasIntegral.neg", "BoxIntegral.HasIntegral.of_aeEq_zero", "BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleO", "BoxIntegral.HasIntegral.of_le_Henstock_of_forall_isLittleO", "BoxIntegral.HasIntegral.of_mul", "BoxIntegral.HasIntegral.smul", "BoxIntegral.HasIntegral.sub", "BoxIntegral.HasIntegral.sum", "BoxIntegral.HasIntegral.unique", "BoxIntegral.Integrable.add", "BoxIntegral.Integrable.cauchy_map_integralSum_toFilteriUnion", "BoxIntegral.Integrable.convergenceR_cond", "BoxIntegral.Integrable.dist_integralSum_integral_le_of_memBaseSet", "BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSet", "BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet", "BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq", "BoxIntegral.Integrable.hasIntegral", "BoxIntegral.Integrable.mono", "BoxIntegral.Integrable.neg", "BoxIntegral.Integrable.of_smul", "BoxIntegral.Integrable.smul", "BoxIntegral.Integrable.tendsto_integralSum_sum_integral", "BoxIntegral.Integrable.tendsto_integralSum_toFilter_prod_self_inf_iUnion_eq_uniformity", "BoxIntegral.Integrable.to_subbox", "BoxIntegral.Integrable.to_subbox_aux", "BoxIntegral.IntegrationParams.MemBaseSet.exists_common_compl", "BoxIntegral.IntegrationParams.MemBaseSet.filter", "BoxIntegral.IntegrationParams.MemBaseSet.mono", "BoxIntegral.IntegrationParams.RCond.min", "BoxIntegral.IntegrationParams.RCond.mono", "BoxIntegral.IntegrationParams.biUnionTagged_memBaseSet", "BoxIntegral.IntegrationParams.eventually_isPartition", "BoxIntegral.IntegrationParams.exists_memBaseSet_isPartition", "BoxIntegral.IntegrationParams.hasBasis_toFilter", "BoxIntegral.IntegrationParams.hasBasis_toFilterDistortioniUnion", "BoxIntegral.IntegrationParams.hasBasis_toFilteriUnion", "BoxIntegral.IntegrationParams.hasBasis_toFilteriUnion_top", "BoxIntegral.IntegrationParams.henstock_le_riemann", "BoxIntegral.IntegrationParams.rCond_of_bRiemann_eq_false", "BoxIntegral.IntegrationParams.tendsto_embedBox_toFilteriUnion_top", "BoxIntegral.IntegrationParams.toFilterDistortion_mono", "BoxIntegral.IntegrationParams.toFilter_mono", "BoxIntegral.IntegrationParams.toFilteriUnion_congr", "BoxIntegral.IntegrationParams.toFilteriUnion_mono", "BoxIntegral.Prepartition.IsPartition.biUnion", "BoxIntegral.Prepartition.IsPartition.biUnionTagged", "BoxIntegral.Prepartition.IsPartition.compl_eq_bot", "BoxIntegral.Prepartition.IsPartition.eq_of_boxes_subset", "BoxIntegral.Prepartition.IsPartition.existsUnique", "BoxIntegral.Prepartition.IsPartition.exists_splitMany_le", "BoxIntegral.Prepartition.IsPartition.iUnion_subset", "BoxIntegral.Prepartition.IsPartition.inf", "BoxIntegral.Prepartition.IsPartition.restrict", "BoxIntegral.Prepartition.biUnionIndex_le", "BoxIntegral.Prepartition.biUnionIndex_mem", "BoxIntegral.Prepartition.biUnionIndex_of_mem", "BoxIntegral.Prepartition.biUnion_assoc", "BoxIntegral.Prepartition.biUnion_le", "BoxIntegral.Prepartition.biUnion_le_iff", "BoxIntegral.Prepartition.biUnion_top", "BoxIntegral.Prepartition.bot_boxes", "BoxIntegral.Prepartition.card_filter_mem_Icc_le", "BoxIntegral.Prepartition.coe_eq_of_mem_split_of_lt_mem", "BoxIntegral.Prepartition.coe_eq_of_mem_split_of_mem_le", "BoxIntegral.Prepartition.compl_congr", "BoxIntegral.Prepartition.compl_top", "BoxIntegral.Prepartition.disjoint_boxes_of_disjoint_iUnion", "BoxIntegral.Prepartition.disjoint_coe_of_mem", "BoxIntegral.Prepartition.distortion_biUnion", "BoxIntegral.Prepartition.distortion_biUnionTagged", "BoxIntegral.Prepartition.distortion_bot", "BoxIntegral.Prepartition.distortion_disjUnion", "BoxIntegral.Prepartition.distortion_le_iff", "BoxIntegral.Prepartition.distortion_toSubordinate", "BoxIntegral.Prepartition.eq_of_boxes_subset_iUnion_superset", "BoxIntegral.Prepartition.eq_of_le", "BoxIntegral.Prepartition.eq_of_mem_of_mem", "BoxIntegral.Prepartition.eventually_not_disjoint_imp_le_of_mem_splitMany", "BoxIntegral.Prepartition.eventually_splitMany_inf_eq_filter", "BoxIntegral.Prepartition.exists_iUnion_eq_diff", "BoxIntegral.Prepartition.exists_splitMany_inf_eq_filter_of_finite", "BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eq", "BoxIntegral.Prepartition.ext", "BoxIntegral.Prepartition.filter_le", "BoxIntegral.Prepartition.iUnion_biUnion", "BoxIntegral.Prepartition.iUnion_biUnionTagged", "BoxIntegral.Prepartition.iUnion_bot", "BoxIntegral.Prepartition.iUnion_def", "BoxIntegral.Prepartition.iUnion_disjUnion", "BoxIntegral.Prepartition.iUnion_eq_empty", "BoxIntegral.Prepartition.iUnion_filter_not", "BoxIntegral.Prepartition.iUnion_inf", "BoxIntegral.Prepartition.iUnion_ofWithBot", "BoxIntegral.Prepartition.iUnion_restrict", "BoxIntegral.Prepartition.iUnion_split", "BoxIntegral.Prepartition.iUnion_subset", "BoxIntegral.Prepartition.iUnion_toSubordinate", "BoxIntegral.Prepartition.iUnion_top", "BoxIntegral.Prepartition.inf_def", "BoxIntegral.Prepartition.inf_split", "BoxIntegral.Prepartition.inf_splitMany", "BoxIntegral.Prepartition.injOn_setOf_mem_Icc_setOf_lower_eq", "BoxIntegral.Prepartition.isHenstock_toSubordinate", "BoxIntegral.Prepartition.isPartitionSplit", "BoxIntegral.Prepartition.isPartitionTop", "BoxIntegral.Prepartition.isPartition_iff_iUnion_eq", "BoxIntegral.Prepartition.isPartition_single_iff", "BoxIntegral.Prepartition.isPartition_splitMany", "BoxIntegral.Prepartition.isSubordinate_toSubordinate", "BoxIntegral.Prepartition.le_biUnion_iff", "BoxIntegral.Prepartition.le_def", "BoxIntegral.Prepartition.le_iff_nonempty_imp_le_and_iUnion_subset", "BoxIntegral.Prepartition.le_ofWithBot", "BoxIntegral.Prepartition.lower_le_lower", "BoxIntegral.Prepartition.measure_iUnion_toReal", "BoxIntegral.Prepartition.mem_biUnion", "BoxIntegral.Prepartition.mem_biUnionIndex", "BoxIntegral.Prepartition.mem_biUnionTagged", "BoxIntegral.Prepartition.mem_boxes", "BoxIntegral.Prepartition.mem_iUnion", "BoxIntegral.Prepartition.mem_inf", "BoxIntegral.Prepartition.mem_mk", "BoxIntegral.Prepartition.mem_ofWithBot", "BoxIntegral.Prepartition.mem_restrict", "BoxIntegral.Prepartition.mem_restrict'", "BoxIntegral.Prepartition.mem_single", "BoxIntegral.Prepartition.mem_splitCenter", "BoxIntegral.Prepartition.mem_split_iff", "BoxIntegral.Prepartition.mem_split_iff'", "BoxIntegral.Prepartition.monotone_restrict", "BoxIntegral.Prepartition.not_disjoint_imp_le_of_subset_of_mem_splitMany", "BoxIntegral.Prepartition.not_mem_bot", "BoxIntegral.Prepartition.ofWithBot_le", "BoxIntegral.Prepartition.ofWithBot_mono", "BoxIntegral.Prepartition.restrict_biUnion", "BoxIntegral.Prepartition.restrict_boxes_of_le", "BoxIntegral.Prepartition.restrict_mono", "BoxIntegral.Prepartition.restrict_self", "BoxIntegral.Prepartition.restrict_split", "BoxIntegral.Prepartition.splitMany_empty", "BoxIntegral.Prepartition.splitMany_insert", "BoxIntegral.Prepartition.splitMany_le_split", "BoxIntegral.Prepartition.split_of_not_mem_Ioo", "BoxIntegral.Prepartition.subset_iUnion", "BoxIntegral.Prepartition.sum_biUnion_boxes", "BoxIntegral.Prepartition.sum_disj_union_boxes", "BoxIntegral.Prepartition.sum_fiberwise", "BoxIntegral.Prepartition.sum_ofWithBot", "BoxIntegral.Prepartition.sum_split_boxes", "BoxIntegral.Prepartition.toSubordinate_toPrepartition_le", "BoxIntegral.Prepartition.top_boxes", "BoxIntegral.Prepartition.upper_sub_lower_of_mem_splitCenter", "BoxIntegral.TaggedPrepartition.IsHenstock.card_filter_tag_eq_le", "BoxIntegral.TaggedPrepartition.IsHenstock.disjUnion", "BoxIntegral.TaggedPrepartition.IsPartition.infPrepartition", "BoxIntegral.TaggedPrepartition.IsSubordinate.diam_le", "BoxIntegral.TaggedPrepartition.IsSubordinate.disjUnion", "BoxIntegral.TaggedPrepartition.disjUnion_boxes", "BoxIntegral.TaggedPrepartition.disjUnion_tag_of_mem_left", "BoxIntegral.TaggedPrepartition.disjUnion_tag_of_mem_right", "BoxIntegral.TaggedPrepartition.distortion_biUnionPrepartition", "BoxIntegral.TaggedPrepartition.distortion_disjUnion", "BoxIntegral.TaggedPrepartition.distortion_filter_le", "BoxIntegral.TaggedPrepartition.distortion_single", "BoxIntegral.TaggedPrepartition.forall_mem_single", "BoxIntegral.TaggedPrepartition.iUnion_def", "BoxIntegral.TaggedPrepartition.iUnion_disjUnion", "BoxIntegral.TaggedPrepartition.iUnion_mk", "BoxIntegral.TaggedPrepartition.iUnion_single", "BoxIntegral.TaggedPrepartition.iUnion_toPrepartition", "BoxIntegral.TaggedPrepartition.iUnion_unionComplToSubordinate_boxes", "BoxIntegral.TaggedPrepartition.infPrepartition_toPrepartition", "BoxIntegral.TaggedPrepartition.isHenstock_biUnionTagged", "BoxIntegral.TaggedPrepartition.isHenstock_single", "BoxIntegral.TaggedPrepartition.isHenstock_single_iff", "BoxIntegral.TaggedPrepartition.isPartition_iff_iUnion_eq", "BoxIntegral.TaggedPrepartition.isPartition_single", "BoxIntegral.TaggedPrepartition.isPartition_single_iff", "BoxIntegral.TaggedPrepartition.isPartition_unionComplToSubordinate", "BoxIntegral.TaggedPrepartition.isSubordinate_biUnionTagged", "BoxIntegral.TaggedPrepartition.isSubordinate_single", "BoxIntegral.TaggedPrepartition.mem_disjUnion", "BoxIntegral.TaggedPrepartition.mem_filter", "BoxIntegral.TaggedPrepartition.mem_iUnion", "BoxIntegral.TaggedPrepartition.mem_infPrepartition_comm", "BoxIntegral.TaggedPrepartition.mem_mk", "BoxIntegral.TaggedPrepartition.mem_toPrepartition", "BoxIntegral.TaggedPrepartition.unionComplToSubordinate_boxes", "BoxIntegral.hasIntegralIndicatorConst", "BoxIntegral.hasIntegral_GP_divergence_of_forall_hasDerivWithinAt", "BoxIntegral.hasIntegral_GP_pderiv", "BoxIntegral.hasIntegral_const", "BoxIntegral.hasIntegral_iff", "BoxIntegral.hasIntegral_zero", "BoxIntegral.integrable_const", "BoxIntegral.integrable_iff_cauchy_basis", "BoxIntegral.integrable_neg", "BoxIntegral.integrable_of_continuousOn", "BoxIntegral.integrable_zero", "BoxIntegral.integralSum_add", "BoxIntegral.integralSum_biUnionTagged", "BoxIntegral.integralSum_biUnion_partition", "BoxIntegral.integralSum_inf_partition", "BoxIntegral.integralSum_neg", "BoxIntegral.integralSum_smul", "BoxIntegral.integralSum_sub_partitions", "BoxIntegral.integral_add", "BoxIntegral.integral_const", "BoxIntegral.integral_neg", "BoxIntegral.integral_nonneg", "BoxIntegral.integral_smul", "BoxIntegral.integral_sub", "BoxIntegral.norm_integral_le_of_le_const", "BoxIntegral.norm_integral_le_of_norm_le", "BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_le", "Btw.btw.antisymm", "Btw.btw.cyclic_left", "BumpCovering.IsSubordinate.mono", "BumpCovering.IsSubordinate.toPartitionOfUnity", "BumpCovering.coe_single", "BumpCovering.coe_toSmoothPartitionOfUnity", "BumpCovering.continuous_toPOUFun", "BumpCovering.eventuallyEq_one", "BumpCovering.exists_finset_toPOUFun_eventuallyEq", "BumpCovering.exists_finset_toPartitionOfUnity_eventuallyEq", "BumpCovering.exists_isSubordinate_of_locallyFinite", "BumpCovering.exists_isSubordinate_of_locallyFinite_of_prop", "BumpCovering.exists_isSubordinate_of_prop", "BumpCovering.ind_apply", "BumpCovering.le_one", "BumpCovering.locallyFinite", "BumpCovering.point_finite", "BumpCovering.sum_toPOUFun_eq", "BumpCovering.sum_toPartitionOfUnity_eq", "BumpCovering.support_toPOUFun_subset", "BumpCovering.toPOUFun_eq_mul_prod", "BumpCovering.toPOUFun_zero_of_zero", "BumpCovering.toPartitionOfUnity_apply", "BumpCovering.toPartitionOfUnity_zero_of_zero", "BumpCovering.toSmoothPartitionOfUnity_toPartitionOfUnity", "Bundle.Pullback.lift_mk", "Bundle.TotalSpace.eta", "Bundle.TotalSpace.mk_cast", "Bundle.TotalSpace.mk_inj", "Bundle.TotalSpace.mk_injective", "Bundle.TotalSpace.range_mk", "Bundle.Trivial.eq_trivialization", "Bundle.Trivial.inducing_toProd", "Bundle.Trivial.trivialization.coordChangeL", "Bundle.Trivial.trivialization_source", "Bundle.contMDiffAt_proj", "Bundle.contMDiffAt_section", "Bundle.contMDiffOn_proj", "Bundle.contMDiffWithinAt_totalSpace", "Bundle.contMDiff_proj", "Bundle.smoothAt_proj", "Bundle.smoothOn_proj", "Bundle.smooth_proj", "Bundle.smooth_zeroSection", "Bundle.zeroSection_proj", "Bundle.zeroSection_snd", "BundledCorePresheafOfModules.restrictionApp_toPresheafOfModules", "BundledCorePresheafOfModules.toPresheafOfModules_presheaf_map_apply", "ByteArray.append_eq", "ByteArray.empty_data", "ByteArray.extract_data", "ByteArray.getElem_eq_data_getElem", "ByteArray.getElem_ofFn", "ByteArray.get_append_left", "ByteArray.get_append_right", "ByteArray.get_push_eq", "ByteArray.get_push_lt", "ByteArray.get_set_eq", "ByteArray.get_set_ne", "ByteArray.mkEmpty_data", "ByteArray.ofFn_eq_ofFnAux", "ByteArray.push_data", "ByteArray.set_data", "ByteArray.size_append", "ByteArray.size_empty", "ByteArray.size_extract", "ByteArray.size_ofFn", "ByteArray.size_push", "ByteArray.size_set", "ByteArray.uset_eq_set", "CFC.exists_sqrt_of_isSelfAdjoint_of_quasispectrumRestricts", "CFC.exists_sqrt_of_isSelfAdjoint_of_spectrumRestricts", "CFilter.coe_mk", "CFilter.mem_toFilter_sets", "CFilter.ofEquiv_val", "CHSH_id", "CHSH_inequality_of_comm", "CPolynomialAt.analyticAt", "CPolynomialAt.congr", "CPolynomialAt.continuousAt", "CPolynomialAt.eventually_cPolynomialAt", "CPolynomialAt.exists_ball_cPolynomialOn", "CPolynomialAt.exists_mem_nhds_cPolynomialOn", "CPolynomialAt.sub", "CPolynomialAt_const", "CPolynomialOn.add", "CPolynomialOn.analyticOn", "CPolynomialOn.congr", "CPolynomialOn.congr'", "CPolynomialOn.contDiffOn", "CPolynomialOn.continuous", "CPolynomialOn.continuousOn", "CPolynomialOn.deriv", "CPolynomialOn.iteratedFDeriv", "CPolynomialOn.iterated_deriv", "CPolynomialOn.mono", "CPolynomialOn.sub", "CPolynomialOn_congr'", "CPolynomialOn_const", "C_p_pow_dvd_bind\u2081_rename_wittPolynomial_sub_sum", "CancelCommMonoid.ext", "CancelCommMonoid.toCommMonoid_injective", "CancelDenoms.add_subst", "CancelDenoms.cancel_factors_eq", "CancelDenoms.cancel_factors_le", "CancelDenoms.cancel_factors_lt", "CancelDenoms.cancel_factors_ne", "CancelDenoms.derive_trans", "CancelDenoms.div_subst", "CancelDenoms.inv_subst", "CancelDenoms.mul_subst", "CancelDenoms.pow_subst", "CancelDenoms.sub_subst", "CancelMonoid.ext", "CancelMonoid.toLeftCancelMonoid_injective", "CanonicallyOrderedCommMonoid.single_le_prod", "CanonicallyOrderedCommSemiring.list_prod_pos", "CanonicallyOrderedCommSemiring.mul_lt_mul_of_lt_of_lt", "CanonicallyOrderedCommSemiring.mul_pos", "CanonicallyOrderedCommSemiring.multiset_prod_pos", "CanonicallyOrderedCommSemiring.pow_pos", "CanonicallyOrderedCommSemiring.prod_pos", "CantorScheme.Antitone.closureAntitone", "CantorScheme.ClosureAntitone.antitone", "CantorScheme.ClosureAntitone.map_of_vanishingDiam", "CantorScheme.Disjoint.map_injective", "CantorScheme.VanishingDiam.dist_lt", "CantorScheme.VanishingDiam.map_continuous", "Caratheodory.affineIndependent_minCardFinsetOfMemConvexHull", "Caratheodory.mem_convexHull_erase", "Caratheodory.mem_minCardFinsetOfMemConvexHull", "Caratheodory.minCardFinsetOfMemConvexHull_card_le_card", "Caratheodory.minCardFinsetOfMemConvexHull_nonempty", "Caratheodory.minCardFinsetOfMemConvexHull_subseteq", "Cardinal.Categorical.isComplete", "Cardinal.IsLimit.isSuccLimit", "Cardinal.IsLimit.ne_zero", "Cardinal.IsLimit.succ_lt", "Cardinal.IsRegular.aleph0_le", "Cardinal.IsRegular.cof_eq", "Cardinal.IsRegular.pos", "Cardinal.IsStrongLimit.isSuccLimit", "Cardinal.IsStrongLimit.ne_zero", "Cardinal.IsStrongLimit.two_power_lt", "Cardinal.add_ciSup", "Cardinal.add_eq_left", "Cardinal.add_eq_left_iff", "Cardinal.add_eq_max", "Cardinal.add_eq_max'", "Cardinal.add_eq_right", "Cardinal.add_eq_right_iff", "Cardinal.add_eq_self", "Cardinal.add_le_add_iff_of_lt_aleph0", "Cardinal.add_le_aleph0", "Cardinal.add_le_max", "Cardinal.add_le_of_le", "Cardinal.add_lt_aleph0", "Cardinal.add_lt_aleph0_iff", "Cardinal.add_lt_of_lt", "Cardinal.add_mk_eq_max", "Cardinal.add_nat_eq", "Cardinal.add_nat_le_add_nat_iff", "Cardinal.add_one_eq", "Cardinal.add_one_le_add_one_iff", "Cardinal.add_one_le_succ", "Cardinal.add_one_of_aleph0_le", "Cardinal.add_right_inj_of_lt_aleph0", "Cardinal.aleph'_alephIdx", "Cardinal.aleph'_le", "Cardinal.aleph'_le_of_limit", "Cardinal.aleph'_limit", "Cardinal.aleph'_lt", "Cardinal.aleph'_nat", "Cardinal.aleph'_omega", "Cardinal.aleph'_succ", "Cardinal.aleph'_zero", "Cardinal.aleph0_add_nat", "Cardinal.aleph0_add_ofENat", "Cardinal.aleph0_add_ofNat", "Cardinal.aleph0_le", "Cardinal.aleph0_le_add_iff", "Cardinal.aleph0_le_aleph", "Cardinal.aleph0_le_aleph'", "Cardinal.aleph0_le_beth", "Cardinal.aleph0_le_continuum", "Cardinal.aleph0_le_lift", "Cardinal.aleph0_le_mk", "Cardinal.aleph0_le_mk_iff", "Cardinal.aleph0_le_mul_iff", "Cardinal.aleph0_le_mul_iff'", "Cardinal.aleph0_lt_aleph_one", "Cardinal.aleph0_lt_continuum", "Cardinal.aleph0_lt_lift", "Cardinal.aleph0_mul_aleph", "Cardinal.aleph0_mul_aleph0", "Cardinal.aleph0_mul_eq", "Cardinal.aleph0_mul_nat", "Cardinal.aleph0_mul_ofENat", "Cardinal.aleph0_ne_zero", "Cardinal.aleph0_pos", "Cardinal.aleph0_toNat", "Cardinal.aleph0_toPartENat", "Cardinal.alephIdx.init", "Cardinal.alephIdx.initialSeg_coe", "Cardinal.alephIdx.relIso_coe", "Cardinal.alephIdx_le", "Cardinal.alephIdx_lt", "Cardinal.aleph_add_aleph", "Cardinal.aleph_isNormal", "Cardinal.aleph_le_beth", "Cardinal.aleph_limit", "Cardinal.aleph_lt", "Cardinal.aleph_mul_aleph", "Cardinal.aleph_mul_aleph0", "Cardinal.aleph_one_le_continuum", "Cardinal.aleph_pos", "Cardinal.aleph_succ", "Cardinal.aleph_toNat", "Cardinal.aleph_zero", "Cardinal.bddAbove_iff_small", "Cardinal.bddAbove_image", "Cardinal.bddAbove_of_small", "Cardinal.bddAbove_range", "Cardinal.bddAbove_range_comp", "Cardinal.beth_limit", "Cardinal.beth_lt", "Cardinal.beth_mono", "Cardinal.beth_ne_zero", "Cardinal.beth_normal", "Cardinal.beth_one", "Cardinal.beth_pos", "Cardinal.beth_strictMono", "Cardinal.beth_succ", "Cardinal.beth_zero", "Cardinal.blsub_lt_ord_lift_of_isRegular", "Cardinal.blsub_lt_ord_of_isRegular", "Cardinal.cantor", "Cardinal.cantor'", "Cardinal.cantorFunctionAux_false", "Cardinal.cantorFunctionAux_nonneg", "Cardinal.cantorFunctionAux_true", "Cardinal.cantorFunction_injective", "Cardinal.cantorFunction_le", "Cardinal.cantorFunction_succ", "Cardinal.card_biUnion_lt_iff_forall_of_isRegular", "Cardinal.card_iUnion_lt_iff_forall_of_isRegular", "Cardinal.card_le_iff", "Cardinal.card_le_of", "Cardinal.card_lt_of_card_biUnion_lt", "Cardinal.card_lt_of_card_iUnion_lt", "Cardinal.card_ord", "Cardinal.card_typein_lt", "Cardinal.card_typein_out_lt", "Cardinal.cast_succ", "Cardinal.cast_toNat_of_aleph0_le", "Cardinal.cast_toNat_of_lt_aleph0", "Cardinal.ciSup_add", "Cardinal.ciSup_mul", "Cardinal.continuum_add_nat", "Cardinal.continuum_add_ofNat", "Cardinal.continuum_add_self", "Cardinal.continuum_le_lift", "Cardinal.continuum_lt_lift", "Cardinal.continuum_mul_aleph0", "Cardinal.continuum_mul_nat", "Cardinal.continuum_mul_self", "Cardinal.continuum_ne_zero", "Cardinal.continuum_pos", "Cardinal.continuum_power_aleph0", "Cardinal.countable_iff_lt_aleph_one", "Cardinal.denumerable_iff", "Cardinal.derivBFamily_lt_ord", "Cardinal.derivBFamily_lt_ord_lift", "Cardinal.derivFamily_lt_ord", "Cardinal.derivFamily_lt_ord_lift", "Cardinal.empty_theory_categorical", "Cardinal.enat_gc", "Cardinal.eq", "Cardinal.eq_aleph_of_eq_card_ord", "Cardinal.eq_of_add_eq_add_left", "Cardinal.eq_of_add_eq_add_right", "Cardinal.eq_of_add_eq_of_aleph0_le", "Cardinal.eq_one_iff_unique", "Cardinal.exists_aleph", "Cardinal.exists_eq_of_iSup_eq_of_not_isLimit", "Cardinal.exists_eq_of_iSup_eq_of_not_isSuccLimit", "Cardinal.exists_finset_le_card", "Cardinal.exists_nat_eq_of_le_nat", "Cardinal.exists_not_mem_of_length_lt", "Cardinal.extend_function", "Cardinal.extend_function_finite", "Cardinal.extend_function_of_lt", "Cardinal.gc_ord_card", "Cardinal.iInf_eq_zero_iff", "Cardinal.iSup_le_sum", "Cardinal.iSup_lt_lift_of_isRegular", "Cardinal.iSup_of_empty", "Cardinal.increasing_cantorFunction", "Cardinal.infinite_iff", "Cardinal.infinite_pigeonhole_card_lt", "Cardinal.isPrimePow_iff", "Cardinal.isRegular_aleph'_succ", "Cardinal.isRegular_aleph0", "Cardinal.isRegular_aleph_one", "Cardinal.isRegular_aleph_succ", "Cardinal.isRegular_succ", "Cardinal.isStrongLimit_beth", "Cardinal.isSuccLimit_aleph0", "Cardinal.isUnit_iff", "Cardinal.is_prime_iff", "Cardinal.le_aleph0_iff_set_countable", "Cardinal.le_def", "Cardinal.le_lift_iff", "Cardinal.le_mk_diff_add_mk", "Cardinal.le_mk_iff_exists_set", "Cardinal.le_mk_iff_exists_subset", "Cardinal.le_mul_left", "Cardinal.le_mul_right", "Cardinal.le_of_dvd", "Cardinal.le_one_iff_subsingleton", "Cardinal.le_powerlt", "Cardinal.le_range_of_union_finset_eq_top", "Cardinal.le_sum", "Cardinal.lift_add", "Cardinal.lift_aleph0", "Cardinal.lift_continuum", "Cardinal.lift_down", "Cardinal.lift_eq_nat_iff", "Cardinal.lift_eq_ofENat", "Cardinal.lift_eq_ofNat_iff", "Cardinal.lift_eq_zero", "Cardinal.lift_iInf", "Cardinal.lift_iSup", "Cardinal.lift_iSup_le", "Cardinal.lift_iSup_le_iff", "Cardinal.lift_iSup_le_lift_iSup", "Cardinal.lift_iSup_le_lift_iSup'", "Cardinal.lift_id", "Cardinal.lift_id'", "Cardinal.lift_inj", "Cardinal.lift_injective", "Cardinal.lift_le", "Cardinal.lift_le_aleph0", "Cardinal.lift_le_continuum", "Cardinal.lift_le_nat_iff", "Cardinal.lift_le_ofENat", "Cardinal.lift_lift", "Cardinal.lift_lt", "Cardinal.lift_lt_aleph0", "Cardinal.lift_lt_continuum", "Cardinal.lift_lt_nat_iff", "Cardinal.lift_lt_ofENat", "Cardinal.lift_lt_ofNat_iff", "Cardinal.lift_lt_univ", "Cardinal.lift_lt_univ'", "Cardinal.lift_max", "Cardinal.lift_mk_eq", "Cardinal.lift_mk_eq'", "Cardinal.lift_mk_fin", "Cardinal.lift_mk_le", "Cardinal.lift_mk_le_lift_mk_mul_of_lift_mk_preimage_le", "Cardinal.lift_mk_le_lift_mk_of_injective", "Cardinal.lift_mk_shrink", "Cardinal.lift_mk_shrink'", "Cardinal.lift_mk_shrink''", "Cardinal.lift_monotone", "Cardinal.lift_mul", "Cardinal.lift_natCast", "Cardinal.lift_ofENat", "Cardinal.lift_ofNat", "Cardinal.lift_one", "Cardinal.lift_ord", "Cardinal.lift_prod", "Cardinal.lift_sInf", "Cardinal.lift_sSup", "Cardinal.lift_strictMono", "Cardinal.lift_succ", "Cardinal.lift_sum", "Cardinal.lift_two", "Cardinal.lift_two_power", "Cardinal.lift_umax", "Cardinal.lift_umax'", "Cardinal.lift_umax_eq", "Cardinal.lift_univ", "Cardinal.lift_uzero", "Cardinal.lsub_lt_ord_lift_of_isRegular", "Cardinal.lsub_lt_ord_of_isRegular", "Cardinal.lt_aleph0", "Cardinal.lt_aleph0_iff_finite", "Cardinal.lt_aleph0_iff_fintype", "Cardinal.lt_aleph0_iff_set_finite", "Cardinal.lt_aleph0_iff_subtype_finite", "Cardinal.lt_aleph0_of_finite", "Cardinal.lt_cof_power", "Cardinal.lt_lift_iff", "Cardinal.lt_one_iff_zero", "Cardinal.lt_ord", "Cardinal.lt_ord_succ_card", "Cardinal.lt_power_cof", "Cardinal.lt_univ", "Cardinal.lt_univ'", "Cardinal.lt_wf", "Cardinal.map_mk", "Cardinal.max_aleph_eq", "Cardinal.mk'_def", "Cardinal.mkRat", "Cardinal.mk_Icc_real", "Cardinal.mk_Ici_real", "Cardinal.mk_Ico_real", "Cardinal.mk_Iic_real", "Cardinal.mk_Iio_real", "Cardinal.mk_Ioc_real", "Cardinal.mk_Ioi_real", "Cardinal.mk_Ioo_real", "Cardinal.mk_Prop", "Cardinal.mk_add_one_eq", "Cardinal.mk_arrow", "Cardinal.mk_arrow_eq_zero_iff", "Cardinal.mk_biUnion_le", "Cardinal.mk_biUnion_le_lift", "Cardinal.mk_bool", "Cardinal.mk_bounded_set_le", "Cardinal.mk_bounded_set_le_of_infinite", "Cardinal.mk_bounded_subset", "Cardinal.mk_bounded_subset_le", "Cardinal.mk_cardinal", "Cardinal.mk_coe_finset", "Cardinal.mk_compl_eq_mk_compl_finite", "Cardinal.mk_compl_eq_mk_compl_finite_lift", "Cardinal.mk_compl_eq_mk_compl_finite_same", "Cardinal.mk_compl_eq_mk_compl_infinite", "Cardinal.mk_compl_finset_of_infinite", "Cardinal.mk_compl_of_infinite", "Cardinal.mk_congr", "Cardinal.mk_denumerable", "Cardinal.mk_diff_add_mk", "Cardinal.mk_embedding_eq_arrow_of_lift_le", "Cardinal.mk_embedding_eq_zero_iff_lift_lt", "Cardinal.mk_embedding_eq_zero_iff_lt", "Cardinal.mk_emptyCollection", "Cardinal.mk_emptyCollection_iff", "Cardinal.mk_eq_aleph0", "Cardinal.mk_eq_nat_iff", "Cardinal.mk_eq_nat_iff_finset", "Cardinal.mk_eq_nat_iff_fintype", "Cardinal.mk_eq_one", "Cardinal.mk_eq_two_iff", "Cardinal.mk_eq_two_iff'", "Cardinal.mk_eq_zero", "Cardinal.mk_eq_zero_iff", "Cardinal.mk_equiv_eq_arrow_of_eq", "Cardinal.mk_equiv_eq_arrow_of_lift_eq", "Cardinal.mk_equiv_eq_zero_iff_lift_ne", "Cardinal.mk_equiv_eq_zero_iff_ne", "Cardinal.mk_equiv_le_embedding", "Cardinal.mk_equiv_of_eq", "Cardinal.mk_equiv_of_lift_eq", "Cardinal.mk_finset_of_fintype", "Cardinal.mk_finset_of_infinite", "Cardinal.mk_finsupp_lift_of_fintype", "Cardinal.mk_finsupp_lift_of_infinite", "Cardinal.mk_finsupp_lift_of_infinite'", "Cardinal.mk_finsupp_nat", "Cardinal.mk_finsupp_of_infinite", "Cardinal.mk_finsupp_of_infinite'", "Cardinal.mk_fintype", "Cardinal.mk_iUnion_eq_sum_mk", "Cardinal.mk_iUnion_eq_sum_mk_lift", "Cardinal.mk_iUnion_le", "Cardinal.mk_iUnion_le_lift", "Cardinal.mk_iUnion_le_sum_mk", "Cardinal.mk_image_eq", "Cardinal.mk_image_eq_of_injOn", "Cardinal.mk_image_le", "Cardinal.mk_image_le_lift", "Cardinal.mk_insert", "Cardinal.mk_insert_le", "Cardinal.mk_int", "Cardinal.mk_le_aleph0", "Cardinal.mk_le_aleph0_iff", "Cardinal.mk_le_iff_forall_finset_subset_card_le", "Cardinal.mk_le_mk_mul_of_mk_preimage_le", "Cardinal.mk_le_mk_of_subset", "Cardinal.mk_le_of_countable_eventually_mem", "Cardinal.mk_le_of_injective", "Cardinal.mk_le_of_module", "Cardinal.mk_le_of_surjective", "Cardinal.mk_le_one_iff_set_subsingleton", "Cardinal.mk_list_eq_aleph0", "Cardinal.mk_list_eq_max_mk_aleph0", "Cardinal.mk_list_eq_mk", "Cardinal.mk_list_eq_sum_pow", "Cardinal.mk_list_le_max", "Cardinal.mk_lt_aleph0_iff", "Cardinal.mk_multiset_of_infinite", "Cardinal.mk_nat", "Cardinal.mk_ne_zero_iff", "Cardinal.mk_of_countable_eventually_mem", "Cardinal.mk_option", "Cardinal.mk_ord_out", "Cardinal.mk_ordinal_out", "Cardinal.mk_out", "Cardinal.mk_pNat", "Cardinal.mk_pempty", "Cardinal.mk_perm_eq_self_power", "Cardinal.mk_perm_eq_two_power", "Cardinal.mk_pi", "Cardinal.mk_preimage_down", "Cardinal.mk_preimage_of_injective", "Cardinal.mk_preimage_of_injective_lift", "Cardinal.mk_preimage_of_injective_of_subset_range", "Cardinal.mk_preimage_of_subset_range", "Cardinal.mk_preimage_of_subset_range_lift", "Cardinal.mk_prod", "Cardinal.mk_psum", "Cardinal.mk_punit", "Cardinal.mk_quaternionAlgebra", "Cardinal.mk_quaternionAlgebra_of_infinite", "Cardinal.mk_quaternion_of_infinite", "Cardinal.mk_quotient_le", "Cardinal.mk_range_eq", "Cardinal.mk_range_eq_lift", "Cardinal.mk_range_eq_of_injective", "Cardinal.mk_range_le", "Cardinal.mk_real", "Cardinal.mk_sUnion_le", "Cardinal.mk_sep", "Cardinal.mk_set", "Cardinal.mk_set_eq_nat_iff_finset", "Cardinal.mk_set_le", "Cardinal.mk_set_nat", "Cardinal.mk_sigma", "Cardinal.mk_singleton", "Cardinal.mk_subset_ge_of_subset_image", "Cardinal.mk_subset_ge_of_subset_image_lift", "Cardinal.mk_subset_mk_lt_cof", "Cardinal.mk_subtype_le", "Cardinal.mk_subtype_le_of_countable_eventually_mem", "Cardinal.mk_subtype_le_of_countable_eventually_mem_aux", "Cardinal.mk_subtype_le_of_subset", "Cardinal.mk_subtype_of_equiv", "Cardinal.mk_sum", "Cardinal.mk_surjective_eq_arrow_of_le", "Cardinal.mk_surjective_eq_arrow_of_lift_le", "Cardinal.mk_surjective_eq_zero_iff", "Cardinal.mk_surjective_eq_zero_iff_lift", "Cardinal.mk_uLift", "Cardinal.mk_union_add_mk_inter", "Cardinal.mk_union_le", "Cardinal.mk_union_le_aleph0", "Cardinal.mk_union_of_disjoint", "Cardinal.mk_univ", "Cardinal.mk_univ_quaternion", "Cardinal.mk_univ_quaternionAlgebra", "Cardinal.mk_univ_real", "Cardinal.mul_aleph0_eq", "Cardinal.mul_ciSup", "Cardinal.mul_comm'", "Cardinal.mul_eq_left_iff", "Cardinal.mul_eq_max", "Cardinal.mul_eq_max'", "Cardinal.mul_eq_max_of_aleph0_le_left", "Cardinal.mul_eq_max_of_aleph0_le_right", "Cardinal.mul_eq_right", "Cardinal.mul_eq_self", "Cardinal.mul_le_max", "Cardinal.mul_le_max_of_aleph0_le_left", "Cardinal.mul_le_max_of_aleph0_le_right", "Cardinal.mul_lt_aleph0", "Cardinal.mul_lt_aleph0_iff", "Cardinal.mul_power", "Cardinal.natCast_add_one_le_iff", "Cardinal.natCast_eq_toPartENat_iff", "Cardinal.natCast_inj", "Cardinal.natCast_injective", "Cardinal.natCast_le", "Cardinal.natCast_le_toPartENat_iff", "Cardinal.natCast_lt", "Cardinal.natCast_lt_toPartENat_iff", "Cardinal.natCast_pow", "Cardinal.nat_add_aleph0", "Cardinal.nat_add_continuum", "Cardinal.nat_add_eq", "Cardinal.nat_coe_dvd_iff", "Cardinal.nat_eq_lift_iff", "Cardinal.nat_is_prime_iff", "Cardinal.nat_le_lift_iff", "Cardinal.nat_lt_aleph0", "Cardinal.nat_lt_continuum", "Cardinal.nat_lt_lift_iff", "Cardinal.nat_lt_ofENat", "Cardinal.nat_mul_aleph0", "Cardinal.nat_power_aleph0", "Cardinal.nat_power_eq", "Cardinal.nat_succ", "Cardinal.nfpBFamily_lt_ord_lift_of_isRegular", "Cardinal.nfpBFamily_lt_ord_of_isRegular", "Cardinal.nfpFamily_lt_ord_lift_of_isRegular", "Cardinal.nfpFamily_lt_ord_of_isRegular", "Cardinal.nfp_lt_ord_of_isRegular", "Cardinal.noMaxOrder", "Cardinal.not_countable_real", "Cardinal.not_injective_limitation_set", "Cardinal.not_irreducible_of_aleph0_le", "Cardinal.not_isLimit_natCast", "Cardinal.nsmul_lt_aleph0_iff", "Cardinal.ofENat_add_aleph0", "Cardinal.ofENat_eq_one", "Cardinal.ofENat_eq_zero", "Cardinal.ofENat_inj", "Cardinal.ofENat_le_aleph0", "Cardinal.ofENat_le_lift", "Cardinal.ofENat_le_ofENat", "Cardinal.ofENat_lt_aleph0", "Cardinal.ofENat_lt_lift", "Cardinal.ofENat_lt_ofNat", "Cardinal.ofENat_mono", "Cardinal.ofENat_mul", "Cardinal.ofENat_mul_aleph0", "Cardinal.ofENat_one", "Cardinal.ofENat_strictMono", "Cardinal.ofENat_toENat_eq_self", "Cardinal.ofENat_toENat_le", "Cardinal.ofENat_top", "Cardinal.ofENat_zero", "Cardinal.ofNat_add_aleph0", "Cardinal.ofNat_add_continuum", "Cardinal.ofNat_eq_lift_iff", "Cardinal.ofNat_eq_ofENat", "Cardinal.ofNat_le_ofENat", "Cardinal.one_eq_ofENat", "Cardinal.one_le_aleph0", "Cardinal.one_le_iff_ne_zero", "Cardinal.one_le_iff_pos", "Cardinal.one_le_ofENat", "Cardinal.one_lt_iff_nontrivial", "Cardinal.one_lt_lift_iff", "Cardinal.one_lt_ofENat", "Cardinal.one_power", "Cardinal.ord.orderEmbedding_coe", "Cardinal.ord_aleph0", "Cardinal.ord_aleph_eq_enum_card", "Cardinal.ord_card_le", "Cardinal.ord_card_unbounded'", "Cardinal.ord_eq", "Cardinal.ord_eq_Inf", "Cardinal.ord_injective", "Cardinal.ord_isLimit", "Cardinal.ord_le", "Cardinal.ord_le_ord", "Cardinal.ord_le_type", "Cardinal.ord_lt_ord", "Cardinal.ord_mono", "Cardinal.ord_nat", "Cardinal.ord_ofNat", "Cardinal.ord_one", "Cardinal.ord_strictMono", "Cardinal.ord_univ", "Cardinal.ord_zero", "Cardinal.out_embedding", "Cardinal.partENatOfENat_toENat", "Cardinal.pow_eq", "Cardinal.pow_le", "Cardinal.power_add", "Cardinal.power_bit0", "Cardinal.power_bit1", "Cardinal.power_def", "Cardinal.power_eq_two_power", "Cardinal.power_le_max_power_one", "Cardinal.power_le_power_left", "Cardinal.power_le_power_right", "Cardinal.power_lt_aleph0", "Cardinal.power_mul", "Cardinal.power_nat_eq", "Cardinal.power_nat_le", "Cardinal.power_nat_le_max", "Cardinal.power_ne_zero", "Cardinal.power_one", "Cardinal.power_pos", "Cardinal.power_self_eq", "Cardinal.power_zero", "Cardinal.powerlt_aleph0", "Cardinal.powerlt_le", "Cardinal.powerlt_le_powerlt_left", "Cardinal.powerlt_max", "Cardinal.powerlt_min", "Cardinal.powerlt_succ", "Cardinal.powerlt_zero", "Cardinal.prime_of_aleph0_le", "Cardinal.principal_add_aleph", "Cardinal.principal_add_ord", "Cardinal.prod_const", "Cardinal.prod_eq_of_fintype", "Cardinal.prod_eq_two_power", "Cardinal.prod_eq_zero", "Cardinal.prod_le_prod", "Cardinal.prod_ne_zero", "Cardinal.range_natCast", "Cardinal.range_ofENat", "Cardinal.sInf_empty", "Cardinal.sInf_eq_zero_iff", "Cardinal.self_le_power", "Cardinal.small_iff_lift_mk_lt_univ", "Cardinal.succ_aleph0", "Cardinal.succ_def", "Cardinal.succ_eq_of_lt_aleph0", "Cardinal.succ_ne_zero", "Cardinal.succ_pos", "Cardinal.succ_zero", "Cardinal.sum_add_distrib", "Cardinal.sum_const", "Cardinal.sum_const'", "Cardinal.sum_le_iSup", "Cardinal.sum_le_iSup_lift", "Cardinal.sum_le_sum", "Cardinal.sum_lt_lift_of_isRegular", "Cardinal.sum_lt_of_isRegular", "Cardinal.sum_lt_prod", "Cardinal.sum_nat_eq_add_sum_succ", "Cardinal.summable_cantor_function", "Cardinal.three_le", "Cardinal.toENatAux_eq_nat", "Cardinal.toENatAux_eq_top", "Cardinal.toENatAux_eq_zero", "Cardinal.toENatAux_gc", "Cardinal.toENatAux_le_nat", "Cardinal.toENatAux_nat", "Cardinal.toENatAux_zero", "Cardinal.toENat_comp_ofENat", "Cardinal.toENat_eq_nat", "Cardinal.toENat_eq_ofNat", "Cardinal.toENat_eq_top", "Cardinal.toENat_eq_zero", "Cardinal.toENat_injOn", "Cardinal.toENat_le_nat", "Cardinal.toENat_le_ofNat", "Cardinal.toENat_le_one", "Cardinal.toENat_lift", "Cardinal.toENat_nat", "Cardinal.toENat_ofENat", "Cardinal.toENat_strictMonoOn", "Cardinal.toNat_add", "Cardinal.toNat_apply_of_aleph0_le", "Cardinal.toNat_apply_of_lt_aleph0", "Cardinal.toNat_congr", "Cardinal.toNat_eq_iff", "Cardinal.toNat_eq_one", "Cardinal.toNat_eq_zero", "Cardinal.toNat_le_iff_le_of_lt_aleph0", "Cardinal.toNat_le_of_le_of_lt_aleph0", "Cardinal.toNat_le_toNat", "Cardinal.toNat_lift", "Cardinal.toNat_lt_iff_lt_of_lt_aleph0", "Cardinal.toNat_lt_of_lt_of_lt_aleph0", "Cardinal.toNat_lt_toNat", "Cardinal.toNat_monotoneOn", "Cardinal.toNat_mul", "Cardinal.toNat_natCast", "Cardinal.toNat_ne_zero", "Cardinal.toNat_ofENat", "Cardinal.toNat_ofNat", "Cardinal.toNat_rightInverse", "Cardinal.toNat_strictMonoOn", "Cardinal.toNat_toENat", "Cardinal.toPartENat_apply_of_lt_aleph0", "Cardinal.toPartENat_congr", "Cardinal.toPartENat_eq_iff_of_le_aleph0", "Cardinal.toPartENat_eq_natCast_iff", "Cardinal.toPartENat_eq_top", "Cardinal.toPartENat_le_iff_of_le_aleph0", "Cardinal.toPartENat_le_iff_of_lt_aleph0", "Cardinal.toPartENat_le_natCast_iff", "Cardinal.toPartENat_lift", "Cardinal.toPartENat_lt_natCast_iff", "Cardinal.toPartENat_mono", "Cardinal.toPartENat_natCast", "Cardinal.toPartENat_strictMonoOn", "Cardinal.toPartENat_surjective", "Cardinal.two_le_iff", "Cardinal.two_le_iff'", "Cardinal.two_le_iff_one_lt", "Cardinal.type_cardinal", "Cardinal.univ_id", "Cardinal.univ_inaccessible", "Cardinal.univ_umax", "Cardinal.zero_eq_lift_iff", "Cardinal.zero_eq_ofENat", "Cardinal.zero_le", "Cardinal.zero_lt_lift_iff", "Cardinal.zero_power", "Cardinal.zero_power_le", "Cardinal.zero_powerlt", "Cardinal.zero_toNat", "CardinalInterFilter.of_cardinalInterFilter_of_le", "CardinalInterFilter.of_cardinalInterFilter_of_lt", "CardinalInterFilter.toCountableInterFilter", "CartanMatrix.Relations.adE_of_eq_eq_zero", "CartanMatrix.Relations.adF_of_eq_eq_zero", "CategoryTheory.Abelian.DoldKan.equivalence_inverse", "CategoryTheory.Abelian.Exact.op", "CategoryTheory.Abelian.Exact.op_iff", "CategoryTheory.Abelian.Exact.unop", "CategoryTheory.Abelian.Exact.unop_iff", "CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app", "CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'", "CategoryTheory.Abelian.IsEquivalence.exact_iff", "CategoryTheory.Abelian.OfCoimageImageComparisonIsIso.hasImages", "CategoryTheory.Abelian.OfCoimageImageComparisonIsIso.imageMonoFactorisation_e'", "CategoryTheory.Abelian.Pseudoelement.ModuleCat.eq_range_of_pseudoequal", "CategoryTheory.Abelian.Pseudoelement.apply_eq_zero_of_comp_eq_zero", "CategoryTheory.Abelian.Pseudoelement.apply_zero", "CategoryTheory.Abelian.Pseudoelement.comp_apply", "CategoryTheory.Abelian.Pseudoelement.epi_of_pseudo_surjective", "CategoryTheory.Abelian.Pseudoelement.exact_of_pseudo_exact", "CategoryTheory.Abelian.Pseudoelement.mono_of_zero_of_map_zero", "CategoryTheory.Abelian.Pseudoelement.over_coe_def", "CategoryTheory.Abelian.Pseudoelement.pseudoApply_mk'", "CategoryTheory.Abelian.Pseudoelement.pseudoZero_aux", "CategoryTheory.Abelian.Pseudoelement.pseudoZero_def", "CategoryTheory.Abelian.Pseudoelement.pseudoZero_iff", "CategoryTheory.Abelian.Pseudoelement.pseudo_exact_of_exact", "CategoryTheory.Abelian.Pseudoelement.pseudo_injective_of_mono", "CategoryTheory.Abelian.Pseudoelement.pseudo_pullback", "CategoryTheory.Abelian.Pseudoelement.pseudo_surjective_of_epi", "CategoryTheory.Abelian.Pseudoelement.sub_of_eq_image", "CategoryTheory.Abelian.Pseudoelement.zero_apply", "CategoryTheory.Abelian.Pseudoelement.zero_eq_zero'", "CategoryTheory.Abelian.Pseudoelement.zero_morphism_ext", "CategoryTheory.Abelian.Pseudoelement.zero_of_map_zero", "CategoryTheory.Abelian.app_hom", "CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'", "CategoryTheory.Abelian.coimageIsoImage'_hom", "CategoryTheory.Abelian.coimage_image_factorisation", "CategoryTheory.Abelian.cokernel.desc.inv", "CategoryTheory.Abelian.comp_epiDesc", "CategoryTheory.Abelian.epiWithInjectiveKernel_iff", "CategoryTheory.Abelian.epiWithInjectiveKernel_of_iso", "CategoryTheory.Abelian.epi_fst_of_isLimit", "CategoryTheory.Abelian.epi_iff_cokernel_\u03c0_eq_zero", "CategoryTheory.Abelian.epi_of_cokernel_\u03c0_eq_zero", "CategoryTheory.Abelian.epi_of_epi_of_epi_of_epi", "CategoryTheory.Abelian.epi_of_epi_of_epi_of_mono", "CategoryTheory.Abelian.epi_of_epi_of_epi_of_mono'", "CategoryTheory.Abelian.epi_of_mono_of_epi_of_mono", "CategoryTheory.Abelian.epi_of_mono_of_epi_of_mono'", "CategoryTheory.Abelian.epi_snd_of_isLimit", "CategoryTheory.Abelian.exact_epi_comp_iff", "CategoryTheory.Abelian.exact_iff", "CategoryTheory.Abelian.exact_iff'", "CategoryTheory.Abelian.exact_iff_exact_coimage_\u03c0", "CategoryTheory.Abelian.exact_iff_exact_image_\u03b9", "CategoryTheory.Abelian.exact_iff_image_eq_kernel", "CategoryTheory.Abelian.exact_of_is_cokernel", "CategoryTheory.Abelian.exact_of_is_kernel", "CategoryTheory.Abelian.factorThruImage_comp_coimageIsoImage'_inv", "CategoryTheory.Abelian.has_injective_coseparator", "CategoryTheory.Abelian.has_projective_separator", "CategoryTheory.Abelian.image.fac", "CategoryTheory.Abelian.imageIsoImage_hom_comp_image_\u03b9", "CategoryTheory.Abelian.imageIsoImage_inv", "CategoryTheory.Abelian.image_\u03b9_comp_eq_zero", "CategoryTheory.Abelian.isIso_of_epi_of_isIso_of_isIso_of_mono", "CategoryTheory.Abelian.kernel.lift.inv", "CategoryTheory.Abelian.monoLift_comp", "CategoryTheory.Abelian.mono_cokernel_desc_of_exact", "CategoryTheory.Abelian.mono_iff_kernel_\u03b9_eq_zero", "CategoryTheory.Abelian.mono_inl_of_isColimit", "CategoryTheory.Abelian.mono_inr_of_isColimit", "CategoryTheory.Abelian.mono_of_epi_of_epi_mono'", "CategoryTheory.Abelian.mono_of_epi_of_epi_of_mono", "CategoryTheory.Abelian.mono_of_epi_of_mono_of_mono", "CategoryTheory.Abelian.mono_of_epi_of_mono_of_mono'", "CategoryTheory.Abelian.mono_of_kernel_\u03b9_eq_zero", "CategoryTheory.Abelian.mono_of_mono_of_mono_of_mono", "CategoryTheory.Abelian.pseudoEqual_symm", "CategoryTheory.Abelian.pseudoEqual_trans", "CategoryTheory.Abelian.tfae_epi", "CategoryTheory.Abelian.tfae_mono", "CategoryTheory.AbelianOfAdjunction.coimageIsoImage_hom", "CategoryTheory.AbelianOfAdjunction.hasCokernels", "CategoryTheory.AbelianOfAdjunction.hasKernels", "CategoryTheory.ActionCategory.cases'", "CategoryTheory.ActionCategory.coe_back", "CategoryTheory.ActionCategory.comp_val", "CategoryTheory.ActionCategory.homOfPair.val", "CategoryTheory.ActionCategory.id_val", "CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_apply", "CategoryTheory.ActionCategory.\u03c0_map", "CategoryTheory.ActionCategory.\u03c0_obj", "CategoryTheory.AdditiveFunctor.forget_map", "CategoryTheory.AdditiveFunctor.forget_obj", "CategoryTheory.AdditiveFunctor.forget_obj_of", "CategoryTheory.AdditiveFunctor.ofLeftExact_obj_fst", "CategoryTheory.AdditiveFunctor.ofRightExact_map", "CategoryTheory.Adhesive.isPullback_of_isPushout_of_mono_left", "CategoryTheory.Adhesive.mono_of_isPushout_of_mono_left", "CategoryTheory.Adhesive.mono_of_isPushout_of_mono_right", "CategoryTheory.Adhesive.van_kampen'", "CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left", "CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_left_aux", "CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symm_aux", "CategoryTheory.Adjunction.Localization.\u03b5_app", "CategoryTheory.Adjunction.Localization.\u03b7_app", "CategoryTheory.Adjunction.counit_naturality", "CategoryTheory.Adjunction.eq_homEquiv_apply", "CategoryTheory.Adjunction.gc", "CategoryTheory.Adjunction.hasColimit_of_comp_equivalence", "CategoryTheory.Adjunction.hasColimitsOfShape_of_equivalence", "CategoryTheory.Adjunction.hasLiftingProperty_iff", "CategoryTheory.Adjunction.hasLimit_comp_equivalence", "CategoryTheory.Adjunction.hasLimit_of_comp_equivalence", "CategoryTheory.Adjunction.hasLimitsOfShape_of_equivalence", "CategoryTheory.Adjunction.has_limits_of_equivalence", "CategoryTheory.Adjunction.he'", "CategoryTheory.Adjunction.he''", "CategoryTheory.Adjunction.homEquiv_apply_eq", "CategoryTheory.Adjunction.homEquiv_id", "CategoryTheory.Adjunction.homEquiv_naturality_left", "CategoryTheory.Adjunction.homEquiv_naturality_left_square", "CategoryTheory.Adjunction.homEquiv_naturality_left_square_iff", "CategoryTheory.Adjunction.homEquiv_naturality_left_symm", "CategoryTheory.Adjunction.homEquiv_naturality_right", "CategoryTheory.Adjunction.homEquiv_naturality_right_square_iff", "CategoryTheory.Adjunction.homEquiv_naturality_right_symm", "CategoryTheory.Adjunction.homEquiv_symm_id", "CategoryTheory.Adjunction.homEquiv_symm_rightAdjointUniq_hom_app", "CategoryTheory.Adjunction.injective_of_map_injective", "CategoryTheory.Adjunction.inv_counit_map", "CategoryTheory.Adjunction.isEquivalence_left_of_isEquivalence_right", "CategoryTheory.Adjunction.isEquivalence_right_of_isEquivalence_left", "CategoryTheory.Adjunction.isIso_counit_app_iff_mem_essImage", "CategoryTheory.Adjunction.isIso_counit_app_of_iso", "CategoryTheory.Adjunction.isIso_unit_app_iff_mem_essImage", "CategoryTheory.Adjunction.isLeftAdjoint", "CategoryTheory.Adjunction.isLocalization", "CategoryTheory.Adjunction.isRightAdjoint", "CategoryTheory.Adjunction.leftAdjointUniq_hom_app_counit", "CategoryTheory.Adjunction.leftAdjointUniq_hom_counit", "CategoryTheory.Adjunction.leftAdjointUniq_refl", "CategoryTheory.Adjunction.leftAdjointUniq_trans_app", "CategoryTheory.Adjunction.left_triangle", "CategoryTheory.Adjunction.left_triangle_components", "CategoryTheory.Adjunction.localization_counit_app", "CategoryTheory.Adjunction.localization_unit_app", "CategoryTheory.Adjunction.map_injective", "CategoryTheory.Adjunction.map_projective", "CategoryTheory.Adjunction.map_restrictFullyFaithful_counit_app", "CategoryTheory.Adjunction.map_restrictFullyFaithful_unit_app", "CategoryTheory.Adjunction.natTransEquiv_comp", "CategoryTheory.Adjunction.natTransEquiv_id", "CategoryTheory.Adjunction.natTransEquiv_id_symm", "CategoryTheory.Adjunction.projective_of_map_projective", "CategoryTheory.Adjunction.restrictFullyFaithful_homEquiv_apply", "CategoryTheory.Adjunction.rightAdjointUniq_hom_app_counit", "CategoryTheory.Adjunction.rightAdjointUniq_inv_app", "CategoryTheory.Adjunction.rightAdjointUniq_refl", "CategoryTheory.Adjunction.rightAdjointUniq_trans", "CategoryTheory.Adjunction.rightAdjointUniq_trans_app", "CategoryTheory.Adjunction.right_triangle", "CategoryTheory.Adjunction.right_triangle_components", "CategoryTheory.Adjunction.unit_leftAdjointUniq_hom", "CategoryTheory.Adjunction.unit_leftAdjointUniq_hom_app", "CategoryTheory.Adjunction.unit_naturality", "CategoryTheory.Adjunction.unit_rightAdjointUniq_hom", "CategoryTheory.Adjunction.unit_rightAdjointUniq_hom_app", "CategoryTheory.AreEqualizedByLocalization.map_eq", "CategoryTheory.AreEqualizedByLocalization.mk", "CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_base", "CategoryTheory.Arrow.AugmentedCechNerve.ExtraDegeneracy.s_comp_\u03c0_succ", "CategoryTheory.Arrow.comp_left", "CategoryTheory.Arrow.hom.congr_left", "CategoryTheory.Arrow.hom.congr_right", "CategoryTheory.Arrow.hom_ext", "CategoryTheory.Arrow.hom_inv_id_left", "CategoryTheory.Arrow.hom_inv_id_right", "CategoryTheory.Arrow.id_left", "CategoryTheory.Arrow.id_right", "CategoryTheory.Arrow.inv_hom_id_left", "CategoryTheory.Arrow.inv_hom_id_right", "CategoryTheory.Arrow.inv_left", "CategoryTheory.Arrow.inv_right", "CategoryTheory.Arrow.iso_w", "CategoryTheory.Arrow.left_hom_inv_right", "CategoryTheory.Arrow.mk_eq", "CategoryTheory.Arrow.mk_injective", "CategoryTheory.Arrow.square_from_iso_invert", "CategoryTheory.Arrow.square_to_iso_invert", "CategoryTheory.Arrow.w_mk_right", "CategoryTheory.ArtinianObject.subobject_lt_wellFounded", "CategoryTheory.Aut.Aut_mul_def", "CategoryTheory.Aut.ext", "CategoryTheory.BasedFunctor.comp_assoc", "CategoryTheory.BasedFunctor.isHomLift_iff", "CategoryTheory.BasedFunctor.isHomLift_map", "CategoryTheory.BasedFunctor.w_obj", "CategoryTheory.BasedNatIso.isIso_of_toNatTrans_isIso", "CategoryTheory.BasedNatTrans.ext", "CategoryTheory.BasedNatTrans.isHomLift", "CategoryTheory.BicartesianSq.of_has_biproduct\u2081", "CategoryTheory.BicartesianSq.of_has_biproduct\u2082", "CategoryTheory.BicartesianSq.of_isPullback_isPushout", "CategoryTheory.BicartesianSq.of_is_biproduct\u2081", "CategoryTheory.Bicategory.Adjunction.comp_left_triangle_aux", "CategoryTheory.Bicategory.Adjunction.comp_right_triangle_aux", "CategoryTheory.Bicategory.Equivalence.left_triangle_hom", "CategoryTheory.Bicategory.Equivalence.right_triangle", "CategoryTheory.Bicategory.Equivalence.right_triangle_hom", "CategoryTheory.Bicategory.LeftLift.IsKan.fac", "CategoryTheory.Bicategory.LeftLift.IsKan.hom_ext", "CategoryTheory.Bicategory.LeftLift.w", "CategoryTheory.Bicategory.LeftLift.whisker_lift", "CategoryTheory.Bicategory.LeftLift.whisker_unit", "CategoryTheory.Bicategory.RightExtension.w", "CategoryTheory.Bicategory.RightLift.w", "CategoryTheory.Bicategory.adjointifyCounit_left_triangle", "CategoryTheory.Bicategory.associator_inv_naturality_left", "CategoryTheory.Bicategory.associator_inv_naturality_middle", "CategoryTheory.Bicategory.associator_inv_naturality_right", "CategoryTheory.Bicategory.associator_naturality_left", "CategoryTheory.Bicategory.associator_naturality_middle", "CategoryTheory.Bicategory.comp_whiskerLeft_symm", "CategoryTheory.Bicategory.eqToHom_whiskerRight", "CategoryTheory.Bicategory.hom_inv_whiskerRight", "CategoryTheory.Bicategory.inv_hom_whiskerRight", "CategoryTheory.Bicategory.inv_whiskerLeft", "CategoryTheory.Bicategory.inv_whiskerRight", "CategoryTheory.Bicategory.leftUnitor_comp", "CategoryTheory.Bicategory.leftUnitor_inv_naturality", "CategoryTheory.Bicategory.leftUnitor_inv_whiskerRight", "CategoryTheory.Bicategory.leftUnitor_naturality", "CategoryTheory.Bicategory.leftUnitor_whiskerRight", "CategoryTheory.Bicategory.leftZigzagIso_inv", "CategoryTheory.Bicategory.leftZigzagIso_symm", "CategoryTheory.Bicategory.pentagon_hom_hom_inv_hom_hom", "CategoryTheory.Bicategory.pentagon_hom_inv_inv_inv_hom", "CategoryTheory.Bicategory.pentagon_hom_inv_inv_inv_inv", "CategoryTheory.Bicategory.pentagon_inv", "CategoryTheory.Bicategory.pentagon_inv_hom_hom_hom_hom", "CategoryTheory.Bicategory.pentagon_inv_hom_hom_hom_inv", "CategoryTheory.Bicategory.pentagon_inv_inv_hom_hom_inv", "CategoryTheory.Bicategory.rightUnitor_comp_inv", "CategoryTheory.Bicategory.rightUnitor_inv_naturality", "CategoryTheory.Bicategory.rightZigzagIso_inv", "CategoryTheory.Bicategory.rightZigzagIso_symm", "CategoryTheory.Bicategory.rightZigzag_idempotent_of_left_triangle", "CategoryTheory.Bicategory.right_triangle_of_left_triangle", "CategoryTheory.Bicategory.triangle_assoc_comp_left", "CategoryTheory.Bicategory.triangle_assoc_comp_left_inv", "CategoryTheory.Bicategory.triangle_assoc_comp_right", "CategoryTheory.Bicategory.triangle_assoc_comp_right_inv", "CategoryTheory.Bicategory.unitors_equal", "CategoryTheory.Bicategory.whiskerLeft_hom_inv", "CategoryTheory.Bicategory.whiskerLeft_inv_hom", "CategoryTheory.Bicategory.whiskerLeft_rightUnitor", "CategoryTheory.Bicategory.whiskerRight_comp_symm", "CategoryTheory.Bicategory.whiskerRight_id_symm", "CategoryTheory.Bicategory.whisker_assoc_symm", "CategoryTheory.Bifunctor.diagonal", "CategoryTheory.Bifunctor.diagonal'", "CategoryTheory.Bifunctor.map_comp_id", "CategoryTheory.Bifunctor.map_id", "CategoryTheory.Bifunctor.map_id_comp", "CategoryTheory.BinaryCofan.isPullback_initial_to_of_isVanKampen", "CategoryTheory.BinaryCofan.isVanKampen_iff", "CategoryTheory.BinaryCofan.isVanKampen_mk", "CategoryTheory.BinaryCofan.mono_inr_of_isVanKampen", "CategoryTheory.Biprod.column_nonzero_of_iso", "CategoryTheory.Biprod.inr_ofComponents", "CategoryTheory.Biprod.isIso_inl_iff_isZero", "CategoryTheory.Biprod.ofComponents_comp", "CategoryTheory.Biprod.ofComponents_eq", "CategoryTheory.Biprod.ofComponents_fst", "CategoryTheory.Biproduct.column_nonzero_of_iso'", "CategoryTheory.BraidedCategory.braiding_inv_naturality", "CategoryTheory.BraidedCategory.braiding_inv_naturality_left", "CategoryTheory.BraidedCategory.braiding_inv_naturality_right", "CategoryTheory.BraidedCategory.braiding_inv_tensor_right", "CategoryTheory.BraidedCategory.braiding_naturality", "CategoryTheory.BraidedCategory.braiding_tensor_left", "CategoryTheory.BraidedCategory.braiding_tensor_right", "CategoryTheory.BraidedCategory.hexagon_forward_inv", "CategoryTheory.BraidedCategory.hexagon_forward_iso", "CategoryTheory.BraidedCategory.yang_baxter", "CategoryTheory.BraidedCategory.yang_baxter'", "CategoryTheory.BraidedCategory.yang_baxter_iso", "CategoryTheory.BraidedFunctor.comp_toNatTrans", "CategoryTheory.BraidedFunctor.ext'", "CategoryTheory.Bundled.coe_mk", "CategoryTheory.CartesianClosed.curry_eq", "CategoryTheory.CartesianClosed.curry_id_eq_coev", "CategoryTheory.CartesianClosed.curry_injective", "CategoryTheory.CartesianClosed.curry_natural_left", "CategoryTheory.CartesianClosed.curry_natural_right", "CategoryTheory.CartesianClosed.curry_uncurry", "CategoryTheory.CartesianClosed.eq_curry_iff", "CategoryTheory.CartesianClosed.homEquiv_apply_eq", "CategoryTheory.CartesianClosed.homEquiv_symm_apply_eq", "CategoryTheory.CartesianClosed.uncurry_curry", "CategoryTheory.CartesianClosed.uncurry_eq", "CategoryTheory.CartesianClosed.uncurry_id_eq_ev", "CategoryTheory.CartesianClosed.uncurry_injective", "CategoryTheory.CartesianClosed.uncurry_natural_left", "CategoryTheory.Cat.HasLimits.limit_\u03c0_homDiagram_eqToHom", "CategoryTheory.Cat.associator_hom_app", "CategoryTheory.Cat.comp_obj", "CategoryTheory.Cat.id_map", "CategoryTheory.Cat.leftUnitor_inv_app", "CategoryTheory.Cat.rightUnitor_hom_app", "CategoryTheory.Cat.rightUnitor_inv_app", "CategoryTheory.Cat.whiskerLeft_app", "CategoryTheory.CatCommSq.hInv_hInv", "CategoryTheory.CatCommSq.vInv_vInv", "CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_lift_mapCone", "CategoryTheory.CategoryOfElements.CreatesLimitsAux.map_\u03c0_liftedConeElement", "CategoryTheory.CategoryOfElements.CreatesLimitsAux.\u03c0_liftedConeElement'", "CategoryTheory.CategoryOfElements.costructuredArrow_yoneda_equivalence_naturality", "CategoryTheory.CategoryOfElements.ext", "CategoryTheory.CategoryOfElements.fromStructuredArrow_map", "CategoryTheory.CategoryOfElements.fromStructuredArrow_obj", "CategoryTheory.CategoryOfElements.from_toCostructuredArrow_eq", "CategoryTheory.CategoryOfElements.map_snd", "CategoryTheory.CategoryOfElements.map_\u03c0", "CategoryTheory.CategoryOfElements.toStructuredArrow_obj", "CategoryTheory.CategoryOfElements.to_comma_map_right", "CategoryTheory.CategoryOfElements.to_fromCostructuredArrow_eq", "CategoryTheory.Center.associator_inv_f", "CategoryTheory.Center.comp_f", "CategoryTheory.Center.leftUnitor_hom_f", "CategoryTheory.Center.leftUnitor_inv_f", "CategoryTheory.Center.rightUnitor_hom_f", "CategoryTheory.Center.rightUnitor_inv_f", "CategoryTheory.Center.tensorUnit_\u03b2", "CategoryTheory.Center.tensor_f", "CategoryTheory.Center.tensor_fst", "CategoryTheory.Center.whiskerLeft_comm", "CategoryTheory.Center.whiskerLeft_f", "CategoryTheory.Center.whiskerRight_comm", "CategoryTheory.Center.whiskerRight_f", "CategoryTheory.ChosenFiniteProducts.associator_hom_snd_fst", "CategoryTheory.ChosenFiniteProducts.associator_inv_fst_snd", "CategoryTheory.ChosenFiniteProducts.associator_inv_snd", "CategoryTheory.ChosenFiniteProducts.hom_ext", "CategoryTheory.ChosenFiniteProducts.lift_fst", "CategoryTheory.ChosenFiniteProducts.lift_snd", "CategoryTheory.ChosenFiniteProducts.tensorHom_fst", "CategoryTheory.ChosenFiniteProducts.tensorHom_snd", "CategoryTheory.ChosenFiniteProducts.toUnit_unique", "CategoryTheory.ChosenFiniteProducts.whiskerLeft_fst", "CategoryTheory.ChosenFiniteProducts.whiskerRight_fst", "CategoryTheory.ChosenFiniteProducts.whiskerRight_snd", "CategoryTheory.ColimitAdj.extendAlongYoneda_map", "CategoryTheory.ColimitAdj.extendAlongYoneda_obj.hom_ext", "CategoryTheory.ColimitAdj.restrictYonedaHomEquiv_natural", "CategoryTheory.CommSq.HasLift.iff", "CategoryTheory.CommSq.HasLift.iff_op", "CategoryTheory.CommSq.HasLift.iff_unop", "CategoryTheory.CommSq.HasLift.mk'", "CategoryTheory.CommSq.cocone_inl", "CategoryTheory.CommSq.cocone_inr", "CategoryTheory.CommSq.cone_fst", "CategoryTheory.CommSq.cone_snd", "CategoryTheory.CommSq.fac_left", "CategoryTheory.CommSq.flip", "CategoryTheory.CommSq.horiz_comp", "CategoryTheory.CommSq.left_adjoint", "CategoryTheory.CommSq.left_adjoint_hasLift_iff", "CategoryTheory.CommSq.op", "CategoryTheory.CommSq.right_adjoint", "CategoryTheory.CommSq.right_adjoint_hasLift_iff", "CategoryTheory.CommSq.unop", "CategoryTheory.CommSq.vert_comp", "CategoryTheory.CommSq.vert_inv", "CategoryTheory.Comma.comp_left", "CategoryTheory.Comma.comp_right", "CategoryTheory.Comma.eqToHom_right", "CategoryTheory.Comma.id_left", "CategoryTheory.Comma.id_right", "CategoryTheory.Comonad.Coalgebra.Hom.ext'", "CategoryTheory.Comonad.Coalgebra.comp_eq_comp", "CategoryTheory.Comonad.Coalgebra.comp_f", "CategoryTheory.Comonad.Coalgebra.id_eq_id", "CategoryTheory.Comonad.Coalgebra.id_f", "CategoryTheory.Comonad.coalgebra_iso_of_iso", "CategoryTheory.CompatiblePreserving.apply_map", "CategoryTheory.ComposableArrows.Exact.exact'", "CategoryTheory.ComposableArrows.Exact.\u03b4last", "CategoryTheory.ComposableArrows.Exact.\u03b4\u2080", "CategoryTheory.ComposableArrows.IsComplex.zero'", "CategoryTheory.ComposableArrows.Mk\u2081.map_comp", "CategoryTheory.ComposableArrows.Mk\u2081.map_id", "CategoryTheory.ComposableArrows.Precomp.map_comp", "CategoryTheory.ComposableArrows.Precomp.map_one_succ", "CategoryTheory.ComposableArrows.Precomp.map_succ_succ", "CategoryTheory.ComposableArrows.Precomp.map_zero_one", "CategoryTheory.ComposableArrows.Precomp.map_zero_one'", "CategoryTheory.ComposableArrows.Precomp.map_zero_zero", "CategoryTheory.ComposableArrows.Precomp.obj_one", "CategoryTheory.ComposableArrows.Precomp.obj_zero", "CategoryTheory.ComposableArrows.exact_iff_\u03b4last", "CategoryTheory.ComposableArrows.exact_iff_\u03b4\u2080", "CategoryTheory.ComposableArrows.exact_of_iso", "CategoryTheory.ComposableArrows.exact_of_\u03b4last", "CategoryTheory.ComposableArrows.exact_of_\u03b4\u2080", "CategoryTheory.ComposableArrows.exact\u2080", "CategoryTheory.ComposableArrows.exact\u2081", "CategoryTheory.ComposableArrows.exact\u2082_iff", "CategoryTheory.ComposableArrows.exact\u2082_mk", "CategoryTheory.ComposableArrows.ext", "CategoryTheory.ComposableArrows.ext_succ", "CategoryTheory.ComposableArrows.ext\u2080", "CategoryTheory.ComposableArrows.ext\u2082", "CategoryTheory.ComposableArrows.ext\u2083", "CategoryTheory.ComposableArrows.ext\u2084", "CategoryTheory.ComposableArrows.ext\u2085", "CategoryTheory.ComposableArrows.homMkSucc_app_succ", "CategoryTheory.ComposableArrows.homMkSucc_app_zero", "CategoryTheory.ComposableArrows.homMk\u2082_app_one", "CategoryTheory.ComposableArrows.homMk\u2082_app_two", "CategoryTheory.ComposableArrows.homMk\u2082_app_zero", "CategoryTheory.ComposableArrows.homMk\u2083_app_three", "CategoryTheory.ComposableArrows.homMk\u2084_app_four", "CategoryTheory.ComposableArrows.homMk\u2084_app_three", "CategoryTheory.ComposableArrows.homMk\u2084_app_two", "CategoryTheory.ComposableArrows.homMk\u2084_app_zero", "CategoryTheory.ComposableArrows.homMk\u2085_app_five", "CategoryTheory.ComposableArrows.homMk\u2085_app_three", "CategoryTheory.ComposableArrows.homMk\u2085_app_two", "CategoryTheory.ComposableArrows.homMk\u2085_app_zero", "CategoryTheory.ComposableArrows.hom_ext_succ", "CategoryTheory.ComposableArrows.hom_ext\u2080", "CategoryTheory.ComposableArrows.hom_ext\u2082", "CategoryTheory.ComposableArrows.hom_ext\u2084", "CategoryTheory.ComposableArrows.hom_ext\u2085", "CategoryTheory.ComposableArrows.isComplex_iff_of_iso", "CategoryTheory.ComposableArrows.isComplex_of_iso", "CategoryTheory.ComposableArrows.isComplex\u2080", "CategoryTheory.ComposableArrows.isComplex\u2081", "CategoryTheory.ComposableArrows.isComplex\u2082_iff", "CategoryTheory.ComposableArrows.isComplex\u2082_mk", "CategoryTheory.ComposableArrows.map'_comp", "CategoryTheory.ComposableArrows.map'_eq_hom\u2081", "CategoryTheory.ComposableArrows.map'_inv_eq_inv_map'", "CategoryTheory.ComposableArrows.map'_self", "CategoryTheory.ComposableArrows.mkOfObjOfMapSucc_arrow", "CategoryTheory.ComposableArrows.mkOfObjOfMapSucc_exists", "CategoryTheory.ComposableArrows.mkOfObjOfMapSucc_map_succ", "CategoryTheory.ComposableArrows.mkOfObjOfMapSucc_obj", "CategoryTheory.ComposableArrows.mk\u2080_surjective", "CategoryTheory.ComposableArrows.mk\u2081_surjective", "CategoryTheory.ComposableArrows.mk\u2082_surjective", "CategoryTheory.ComposableArrows.mk\u2084_surjective", "CategoryTheory.ComposableArrows.naturality'", "CategoryTheory.ComposableArrows.precomp_surjective", "CategoryTheory.ComposableArrows.precomp_\u03b4\u2080", "CategoryTheory.ConcreteCategory.bijective_of_isIso", "CategoryTheory.ConcreteCategory.congr_arg", "CategoryTheory.ConcreteCategory.congr_hom", "CategoryTheory.ConcreteCategory.epi_iff_surjective_of_preservesPushout", "CategoryTheory.ConcreteCategory.epi_of_surjective", "CategoryTheory.ConcreteCategory.hom_ext", "CategoryTheory.ConcreteCategory.injective_eq_monomorphisms", "CategoryTheory.ConcreteCategory.injective_eq_monomorphisms_iff", "CategoryTheory.ConcreteCategory.injective_le_monomorphisms", "CategoryTheory.ConcreteCategory.injective_of_mono_of_preservesPullback", "CategoryTheory.ConcreteCategory.isIso_iff_bijective", "CategoryTheory.ConcreteCategory.mono_iff_injective_of_preservesPullback", "CategoryTheory.ConcreteCategory.surjective_eq_epimorphisms", "CategoryTheory.ConcreteCategory.surjective_eq_epimorphisms_iff", "CategoryTheory.ConcreteCategory.surjective_le_epimorphisms", "CategoryTheory.ConcreteCategory.surjective_of_epi_of_preservesPushout", "CategoryTheory.Core.comp_hom", "CategoryTheory.CosimplicialObject.Augmented.hom_ext", "CategoryTheory.CosimplicialObject.augment_hom_zero", "CategoryTheory.CosimplicialObject.hom_ext", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03b4", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03b4'", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03b4''", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03b4_self", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_of_gt", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_of_gt'", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_of_le", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_self", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_self'", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_succ", "CategoryTheory.CosimplicialObject.\u03b4_comp_\u03c3_succ'", "CategoryTheory.CosimplicialObject.\u03b4_naturality", "CategoryTheory.CosimplicialObject.\u03c3_comp_\u03c3", "CategoryTheory.CosimplicialObject.\u03c3_naturality", "CategoryTheory.CostructuredArrow.IsUniversal.existsUnique", "CategoryTheory.CostructuredArrow.IsUniversal.fac", "CategoryTheory.CostructuredArrow.IsUniversal.hom_desc", "CategoryTheory.CostructuredArrow.IsUniversal.hom_ext", "CategoryTheory.CostructuredArrow.epi_iff_epi_left", "CategoryTheory.CostructuredArrow.eqToHom_left", "CategoryTheory.CostructuredArrow.ext", "CategoryTheory.CostructuredArrow.ext_iff", "CategoryTheory.CostructuredArrow.homMk'_comp", "CategoryTheory.CostructuredArrow.homMk'_id", "CategoryTheory.CostructuredArrow.homMk'_mk_comp", "CategoryTheory.CostructuredArrow.homMk_surjective", "CategoryTheory.CostructuredArrow.hom_eq_iff", "CategoryTheory.CostructuredArrow.isSeparating_proj_preimage", "CategoryTheory.CostructuredArrow.lift_projectQuotient", "CategoryTheory.CostructuredArrow.map_mk", "CategoryTheory.CostructuredArrow.mkPrecomp_comp", "CategoryTheory.CostructuredArrow.mkPrecomp_id", "CategoryTheory.CostructuredArrow.mk_hom_eq_self", "CategoryTheory.CostructuredArrow.mk_right", "CategoryTheory.CostructuredArrow.mono_of_mono_left", "CategoryTheory.CostructuredArrow.projectQuotient_factors", "CategoryTheory.CostructuredArrow.projectQuotient_mk", "CategoryTheory.CostructuredArrow.right_eq_id", "CategoryTheory.CostructuredArrow.unop_left_comp_ofMkLEMk_unop", "CategoryTheory.CostructuredArrow.unop_left_comp_underlyingIso_hom_unop", "CategoryTheory.CostructuredArrow.w", "CategoryTheory.CoverPreserving.comp", "CategoryTheory.Coverage.eq_top_pullback", "CategoryTheory.Coverage.saturate_of_superset", "CategoryTheory.Coverage.toGrothendieck_eq_sInf", "CategoryTheory.Coyoneda.fullyFaithful_preimage", "CategoryTheory.Coyoneda.naturality", "CategoryTheory.DifferentialObject.comp_f", "CategoryTheory.DifferentialObject.d_squared_apply", "CategoryTheory.DifferentialObject.eqToHom_f", "CategoryTheory.DifferentialObject.eqToHom_f'", "CategoryTheory.DifferentialObject.objEqToHom_d", "CategoryTheory.DifferentialObject.objEqToHom_refl", "CategoryTheory.DifferentialObject.zero_f", "CategoryTheory.Discrete.eq_of_hom", "CategoryTheory.Discrete.functor_map_id", "CategoryTheory.Discrete.functor_obj", "CategoryTheory.Discrete.mk_as", "CategoryTheory.Discrete.monoidal_tensorUnit_as", "CategoryTheory.EffectiveEpi.fac", "CategoryTheory.EffectiveEpi.uniq", "CategoryTheory.EffectiveEpiFamily.fac", "CategoryTheory.EffectiveEpiFamily.hom_ext", "CategoryTheory.EffectiveEpiFamily.transitive_of_finite", "CategoryTheory.End.one_def", "CategoryTheory.End.smul_left", "CategoryTheory.End.smul_right", "CategoryTheory.Endofunctor.Adjunction.Algebra.homEquiv_naturality_str", "CategoryTheory.Endofunctor.Algebra.Initial.left_inv", "CategoryTheory.Endofunctor.Algebra.Initial.left_inv'", "CategoryTheory.Endofunctor.Algebra.Initial.right_inv", "CategoryTheory.Endofunctor.Algebra.epi_of_epi", "CategoryTheory.Endofunctor.Algebra.id_eq_id", "CategoryTheory.Endofunctor.Algebra.id_f", "CategoryTheory.Endofunctor.Algebra.iso_of_iso", "CategoryTheory.Endofunctor.Algebra.mono_of_mono", "CategoryTheory.Endofunctor.Coalgebra.comp_eq_comp", "CategoryTheory.Endofunctor.Coalgebra.comp_f", "CategoryTheory.Endofunctor.Coalgebra.epi_of_epi", "CategoryTheory.Endofunctor.Coalgebra.ext", "CategoryTheory.Endofunctor.Coalgebra.id_f", "CategoryTheory.Endofunctor.Coalgebra.iso_of_iso", "CategoryTheory.Endofunctor.Coalgebra.mono_of_mono", "CategoryTheory.EnoughInjectives.of_adjunction", "CategoryTheory.EnoughInjectives.of_equivalence", "CategoryTheory.Equalizer.Presieve.Arrows.FirstObj.ext", "CategoryTheory.Equalizer.Presieve.Arrows.SecondObj.ext", "CategoryTheory.Equalizer.Presieve.Arrows.compatible_iff", "CategoryTheory.Equalizer.Presieve.Arrows.sheaf_condition", "CategoryTheory.Equalizer.Presieve.Arrows.w", "CategoryTheory.Equalizer.Presieve.compatible_iff", "CategoryTheory.Equalizer.Presieve.sheaf_condition", "CategoryTheory.Equalizer.Presieve.w", "CategoryTheory.Equalizer.Sieve.SecondObj.ext", "CategoryTheory.Equalizer.Sieve.compatible_iff", "CategoryTheory.Equalizer.Sieve.equalizer_sheaf_condition", "CategoryTheory.Equalizer.Sieve.w", "CategoryTheory.Equivalence.Equivalence_mk'_counit", "CategoryTheory.Equivalence.Equivalence_mk'_counitInv", "CategoryTheory.Equivalence.Equivalence_mk'_unit", "CategoryTheory.Equivalence.Equivalence_mk'_unitInv", "CategoryTheory.Equivalence.adjointify_\u03b7_\u03b5", "CategoryTheory.Equivalence.cancel_counitInv_right", "CategoryTheory.Equivalence.cancel_counitInv_right_assoc", "CategoryTheory.Equivalence.cancel_counitInv_right_assoc'", "CategoryTheory.Equivalence.cancel_counit_right", "CategoryTheory.Equivalence.cancel_unitInv_right", "CategoryTheory.Equivalence.cancel_unit_right", "CategoryTheory.Equivalence.cancel_unit_right_assoc", "CategoryTheory.Equivalence.cancel_unit_right_assoc'", "CategoryTheory.Equivalence.changeFunctor_trans", "CategoryTheory.Equivalence.counitInv_functor_comp", "CategoryTheory.Equivalence.counit_app_functor", "CategoryTheory.Equivalence.coverPreserving", "CategoryTheory.Equivalence.enoughProjectives_iff", "CategoryTheory.Equivalence.eq_inducedTopology_of_transports", "CategoryTheory.Equivalence.funInvIdAssoc_inv_app", "CategoryTheory.Equivalence.functor_unit_comp", "CategoryTheory.Equivalence.hasInitial_iff", "CategoryTheory.Equivalence.hasSheafCompose", "CategoryTheory.Equivalence.hasTerminal_iff", "CategoryTheory.Equivalence.inv_fun_map", "CategoryTheory.Equivalence.inverse_counitInv_comp", "CategoryTheory.Equivalence.isLeftAdjoint_inverse", "CategoryTheory.Equivalence.isRightAdjoint_functor", "CategoryTheory.Equivalence.isRightAdjoint_inverse", "CategoryTheory.Equivalence.locallyCoverDense", "CategoryTheory.Equivalence.map_injective_iff", "CategoryTheory.Equivalence.map_projective_iff", "CategoryTheory.Equivalence.pow_neg_one", "CategoryTheory.Equivalence.precoherent", "CategoryTheory.Equivalence.precoherent_isSheaf_iff", "CategoryTheory.Equivalence.preregular", "CategoryTheory.Equivalence.preregular_isSheaf_iff", "CategoryTheory.Equivalence.preregular_isSheaf_iff_of_essentiallySmall", "CategoryTheory.Equivalence.toOrderIso_symm_apply", "CategoryTheory.Equivalence.unit_app_inverse", "CategoryTheory.Equivalence.unit_inverse_comp", "CategoryTheory.EssentiallySmall.mk'", "CategoryTheory.Exact.lift_comp", "CategoryTheory.ExactFunctor.forget_map", "CategoryTheory.ExactFunctor.forget_obj_of", "CategoryTheory.ExactFunctor.of_fst", "CategoryTheory.ExactPairing.coevaluation_evaluation", "CategoryTheory.ExactPairing.coevaluation_evaluation''", "CategoryTheory.ExactPairing.evaluation_coevaluation", "CategoryTheory.ExactPairing.evaluation_coevaluation''", "CategoryTheory.ExponentialIdeal.mk'", "CategoryTheory.ExponentialIdeal.mk_of_iso", "CategoryTheory.FinallySmall.exists_small_weakly_terminal_set", "CategoryTheory.FinitaryExtensive.isPullback_initial_to", "CategoryTheory.FinitaryExtensive.isPullback_initial_to_binaryCofan", "CategoryTheory.FinitaryExtensive.isVanKampen_finiteCoproducts", "CategoryTheory.FinitaryExtensive.isVanKampen_finiteCoproducts_Fin", "CategoryTheory.FinitaryExtensive.mono_\u03b9", "CategoryTheory.FinitaryExtensive.vanKampen", "CategoryTheory.FinitaryPreExtensive.hasPullbacks_of_is_coproduct", "CategoryTheory.FinitaryPreExtensive.isUniversal_finiteCoproducts", "CategoryTheory.FinitaryPreExtensive.isUniversal_finiteCoproducts_Fin", "CategoryTheory.FinitaryPreExtensive.sigma_desc_iso", "CategoryTheory.FintypeCat.Action.isConnected_iff_transitive", "CategoryTheory.FintypeCat.Action.isConnected_of_transitive", "CategoryTheory.FintypeCat.Action.pretransitive_of_isConnected", "CategoryTheory.ForgetEnrichment.homOf_homTo", "CategoryTheory.ForgetEnrichment.homTo_homOf", "CategoryTheory.ForgetEnrichment.to_of", "CategoryTheory.Free.lift_map_single", "CategoryTheory.Free.single_comp_single", "CategoryTheory.FreeBicategory.liftHom_id", "CategoryTheory.FreeBicategory.liftHom\u2082_congr", "CategoryTheory.FreeBicategory.mk_id", "CategoryTheory.FreeBicategory.mk_left_unitor_inv", "CategoryTheory.FreeBicategory.mk_vcomp", "CategoryTheory.FreeBicategory.mk_whisker_left", "CategoryTheory.FreeBicategory.mk_whisker_right", "CategoryTheory.FreeBicategory.normalizeAux_congr", "CategoryTheory.FreeBicategory.normalizeAux_nil_comp", "CategoryTheory.FreeBicategory.normalize_naturality", "CategoryTheory.FreeBicategory.preinclusion_map\u2082", "CategoryTheory.FreeBicategory.preinclusion_obj", "CategoryTheory.FreeMonoidalCategory.Hom.inductionOn", "CategoryTheory.FreeMonoidalCategory.discrete_functor_map_eq_id", "CategoryTheory.FreeMonoidalCategory.discrete_functor_obj_eq_as", "CategoryTheory.FreeMonoidalCategory.inclusion_obj", "CategoryTheory.FreeMonoidalCategory.mk_comp", "CategoryTheory.FreeMonoidalCategory.mk_id", "CategoryTheory.FreeMonoidalCategory.mk_l_hom", "CategoryTheory.FreeMonoidalCategory.mk_l_inv", "CategoryTheory.FreeMonoidalCategory.mk_whiskerLeft", "CategoryTheory.FreeMonoidalCategory.mk_whiskerRight", "CategoryTheory.FreeMonoidalCategory.mk_\u03b1_hom", "CategoryTheory.FreeMonoidalCategory.mk_\u03b1_inv", "CategoryTheory.FreeMonoidalCategory.mk_\u03c1_inv", "CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_eq", "CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_tensor", "CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_unitor", "CategoryTheory.FreeMonoidalCategory.normalizeObj_congr", "CategoryTheory.FreeMonoidalCategory.normalizeObj_tensor", "CategoryTheory.FreeMonoidalCategory.normalizeObj_unitor", "CategoryTheory.FreeMonoidalCategory.normalize_naturality", "CategoryTheory.FreeMonoidalCategory.tensorFunc_map_app", "CategoryTheory.FreeMonoidalCategory.unit_eq_unit", "CategoryTheory.FullSubcategory.id_def", "CategoryTheory.FullSubcategory.lift_comp_inclusion_eq", "CategoryTheory.FullSubcategory.lift_comp_map", "CategoryTheory.FullSubcategory.map_inclusion", "CategoryTheory.Functor.CommShift.isoAdd_hom_app", "CategoryTheory.Functor.CommShift.isoAdd_inv_app", "CategoryTheory.Functor.CommShift.ofIso_compatibility", "CategoryTheory.Functor.Elements.ext", "CategoryTheory.Functor.Faithful.div_comp", "CategoryTheory.Functor.Faithful.div_faithful", "CategoryTheory.Functor.Faithful.of_comp", "CategoryTheory.Functor.Faithful.of_comp_eq", "CategoryTheory.Functor.Faithful.of_comp_iso", "CategoryTheory.Functor.Faithful.of_iso", "CategoryTheory.Functor.Final.exists_coeq", "CategoryTheory.Functor.Final.hasColimitsOfShape_of_final", "CategoryTheory.Functor.Final.zigzag_of_eqvGen_quot_rel", "CategoryTheory.Functor.Full.of_comp_faithful", "CategoryTheory.Functor.Full.of_iso", "CategoryTheory.Functor.FullyFaithful.hasShift.map_add_hom_app", "CategoryTheory.Functor.FullyFaithful.hasShift.map_zero_inv_app", "CategoryTheory.Functor.FullyFaithful.isIso_of_isIso_map", "CategoryTheory.Functor.FullyFaithful.map_bijective", "CategoryTheory.Functor.FullyFaithful.reflectsIsomorphisms", "CategoryTheory.Functor.HasLeftKanExtension.mk", "CategoryTheory.Functor.HasRightDerivedFunctor.hasLeftKanExtension", "CategoryTheory.Functor.HasRightDerivedFunctor.mk'", "CategoryTheory.Functor.Initial.exists_eq", "CategoryTheory.Functor.Initial.hasLimitsOfShape_of_initial", "CategoryTheory.Functor.Initial.limit_cone_comp_aux", "CategoryTheory.Functor.IsCartesian.eq_of_fac", "CategoryTheory.Functor.IsCartesian.fac", "CategoryTheory.Functor.IsCartesian.map_self", "CategoryTheory.Functor.IsCoverDense.Types.appHom_valid_glue", "CategoryTheory.Functor.IsCoverDense.Types.pushforwardFamily_apply", "CategoryTheory.Functor.IsCoverDense.Types.pushforwardFamily_compatible", "CategoryTheory.Functor.IsCoverDense.Types.pushforwardFamily_def", "CategoryTheory.Functor.IsCoverDense.compatiblePreserving", "CategoryTheory.Functor.IsCoverDense.ext", "CategoryTheory.Functor.IsCoverDense.functorPullback_pushforward_covering", "CategoryTheory.Functor.IsCoverDense.isContinuous", "CategoryTheory.Functor.IsCoverDense.iso_of_restrict_iso", "CategoryTheory.Functor.IsCoverDense.sheafHom_eq", "CategoryTheory.Functor.IsCoverDense.sheafHom_restrict_eq", "CategoryTheory.Functor.IsCoverDense.sheaf_eq_amalgamation", "CategoryTheory.Functor.IsHomological.mk'", "CategoryTheory.Functor.IsHomological.of_iso", "CategoryTheory.Functor.IsLocalization.comp", "CategoryTheory.Functor.IsLocalization.for_id", "CategoryTheory.Functor.IsLocalization.mk'", "CategoryTheory.Functor.IsLocalization.of_comp", "CategoryTheory.Functor.IsLocalization.of_equivalence_source", "CategoryTheory.Functor.IsLocalization.of_equivalence_target", "CategoryTheory.Functor.IsLocalization.of_equivalences", "CategoryTheory.Functor.IsLocalization.of_isEquivalence", "CategoryTheory.Functor.IsLocalization.of_iso", "CategoryTheory.Functor.IsMittagLeffler.subset_image_eventualRange", "CategoryTheory.Functor.IsMittagLeffler.toPreimages", "CategoryTheory.Functor.IsRightDerivedFunctor.isLeftKanExtension", "CategoryTheory.Functor.Iteration.Hom.ext'", "CategoryTheory.Functor.Iteration.mapSucc_eq", "CategoryTheory.Functor.Iteration.restrictionLT_map", "CategoryTheory.Functor.Iteration.restrictionLT_obj", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.hasLeftKanExtension", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.hasPointwiseLeftKanExtension", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.hom_ext", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.isIso_hom", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtensionAt.hasPointwiseLeftKanExtensionAt", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtensionAt.isIso_hom_app", "CategoryTheory.Functor.Monoidal.associator_hom_app", "CategoryTheory.Functor.Monoidal.associator_inv_app", "CategoryTheory.Functor.Monoidal.leftUnitor_inv_app", "CategoryTheory.Functor.Monoidal.rightUnitor_inv_app", "CategoryTheory.Functor.Monoidal.tensorHom_app_fst", "CategoryTheory.Functor.Monoidal.tensorHom_app_snd", "CategoryTheory.Functor.Monoidal.whiskerLeft_app_fst", "CategoryTheory.Functor.Monoidal.whiskerRight_app_fst", "CategoryTheory.Functor.Monoidal.whiskerRight_app_snd", "CategoryTheory.Functor.OfSequence.congr_f", "CategoryTheory.Functor.OfSequence.map_comp", "CategoryTheory.Functor.OfSequence.map_id", "CategoryTheory.Functor.ShiftSequence.induced.isoZero_hom_app_obj", "CategoryTheory.Functor.ShiftSequence.induced.shiftIso_hom_app_obj", "CategoryTheory.Functor.ShiftSequence.induced_isoShiftZero_hom_app_obj", "CategoryTheory.Functor.ShiftSequence.induced_shiftIso_hom_app_obj", "CategoryTheory.Functor.ShiftSequence.induced_shiftMap", "CategoryTheory.Functor.additive_of_comp_faithful", "CategoryTheory.Functor.additive_of_full_essSurj_comp", "CategoryTheory.Functor.additive_of_iso", "CategoryTheory.Functor.additive_of_preservesBinaryBiproducts", "CategoryTheory.Functor.additive_of_preserves_binary_products", "CategoryTheory.Functor.balanced_of_preserves", "CategoryTheory.Functor.biprodComparison'_comp_biprodComparison", "CategoryTheory.Functor.biprodComparison_fst", "CategoryTheory.Functor.biprodComparison_snd", "CategoryTheory.Functor.biproductComparison'_comp_biproductComparison", "CategoryTheory.Functor.biproductComparison_\u03c0", "CategoryTheory.Functor.coe_mapLinearMap", "CategoryTheory.Functor.cofinal_of_colimit_comp_coyoneda_iso_pUnit", "CategoryTheory.Functor.cofinal_of_isTerminal_colimit_comp_yoneda", "CategoryTheory.Functor.commShiftIso_add", "CategoryTheory.Functor.commShiftIso_comp_hom_app", "CategoryTheory.Functor.commShiftIso_comp_inv_app", "CategoryTheory.Functor.commShiftIso_id_hom_app", "CategoryTheory.Functor.commShiftIso_zero", "CategoryTheory.Functor.comp_homologySequence\u03b4", "CategoryTheory.Functor.comp_id", "CategoryTheory.Functor.comp_map", "CategoryTheory.Functor.complete_distinguished_essImageDistTriang_morphism", "CategoryTheory.Functor.congr_hom", "CategoryTheory.Functor.congr_inv_of_congr_hom", "CategoryTheory.Functor.congr_obj", "CategoryTheory.Functor.conj_eqToHom_iff_heq", "CategoryTheory.Functor.const.opObjUnop_hom_app", "CategoryTheory.Functor.const.opObjUnop_inv_app", "CategoryTheory.Functor.const.unop_functor_op_obj_map", "CategoryTheory.Functor.contractible_mem_essImageDistTriang", "CategoryTheory.Functor.coreprW_app_hom", "CategoryTheory.Functor.curry_obj_injective", "CategoryTheory.Functor.descOfIsLeftKanExtension_fac", "CategoryTheory.Functor.descOfIsLeftKanExtension_fac_app", "CategoryTheory.Functor.diag_map", "CategoryTheory.Functor.diag_obj", "CategoryTheory.Functor.distTriang_iff", "CategoryTheory.Functor.effectiveEpiFamily_of_map", "CategoryTheory.Functor.effectiveEpi_of_map", "CategoryTheory.Functor.empty_ext'", "CategoryTheory.Functor.epi_map_iff_epi", "CategoryTheory.Functor.epi_of_epi_map", "CategoryTheory.Functor.eqToHom_proj", "CategoryTheory.Functor.eq_of_iso", "CategoryTheory.Functor.essImage.counit_isIso", "CategoryTheory.Functor.essImage.ofIso", "CategoryTheory.Functor.essImage.ofNatIso", "CategoryTheory.Functor.essImage_eq_of_natIso", "CategoryTheory.Functor.essSurj_of_iso", "CategoryTheory.Functor.essSurj_of_surj", "CategoryTheory.Functor.eval_section_injective_of_eventually_injective", "CategoryTheory.Functor.eval_section_surjective_of_surjective", "CategoryTheory.Functor.eventualRange_eq_iff", "CategoryTheory.Functor.eventualRange_eq_range_precomp", "CategoryTheory.Functor.eventualRange_mapsTo", "CategoryTheory.Functor.eventually_injective", "CategoryTheory.Functor.exact_of_exact_map", "CategoryTheory.Functor.ext", "CategoryTheory.Functor.ext_of_iso", "CategoryTheory.Functor.final_comp_equivalence", "CategoryTheory.Functor.final_equivalence_comp", "CategoryTheory.Functor.final_iff_comp_equivalence", "CategoryTheory.Functor.final_iff_comp_final_full_faithful", "CategoryTheory.Functor.final_iff_equivalence_comp", "CategoryTheory.Functor.final_iff_isFiltered_structuredArrow", "CategoryTheory.Functor.final_iff_isIso_colimit_pre", "CategoryTheory.Functor.final_iff_of_isFiltered", "CategoryTheory.Functor.final_natIso_iff", "CategoryTheory.Functor.final_of_comp_full_faithful", "CategoryTheory.Functor.final_of_comp_full_faithful'", "CategoryTheory.Functor.final_of_exists_of_isFiltered", "CategoryTheory.Functor.final_of_exists_of_isFiltered_of_fullyFaithful", "CategoryTheory.Functor.final_of_final_comp", "CategoryTheory.Functor.final_of_initial_op", "CategoryTheory.Functor.final_of_natIso", "CategoryTheory.Functor.flip_flip", "CategoryTheory.Functor.flip_injective", "CategoryTheory.Functor.fun_inv_map", "CategoryTheory.Functor.hasLeftExtension_iff_of_iso\u2081", "CategoryTheory.Functor.hasLeftExtension_iff_postcomp\u2081", "CategoryTheory.Functor.hasRightDerivedFunctor_iff", "CategoryTheory.Functor.hasRightDerivedFunctor_iff_of_iso", "CategoryTheory.Functor.hasRightExtension_iff_of_iso\u2081", "CategoryTheory.Functor.hasRightExtension_iff_of_iso\u2082", "CategoryTheory.Functor.hasRightExtension_iff_postcomp\u2081", "CategoryTheory.Functor.hasStrongEpiMonoFactorisations_imp_of_isEquivalence", "CategoryTheory.Functor.hext", "CategoryTheory.Functor.hom_ext_of_isLeftKanExtension", "CategoryTheory.Functor.hom_ext_of_isRightKanExtension", "CategoryTheory.Functor.homologySequenceComposableArrows\u2085_exact", "CategoryTheory.Functor.homologySequence_comp", "CategoryTheory.Functor.homologySequence_epi_shift_map_mor\u2082_iff", "CategoryTheory.Functor.homologySequence_exact\u2081", "CategoryTheory.Functor.homologySequence_exact\u2082", "CategoryTheory.Functor.homologySequence_exact\u2083", "CategoryTheory.Functor.homologySequence_mono_shift_map_mor\u2081_iff", "CategoryTheory.Functor.homologySequence\u03b4_comp", "CategoryTheory.Functor.homologySequence\u03b4_naturality", "CategoryTheory.Functor.id_map", "CategoryTheory.Functor.id_obj", "CategoryTheory.Functor.ihom_coev_app", "CategoryTheory.Functor.ihom_ev_app", "CategoryTheory.Functor.initial_comp_equivalence", "CategoryTheory.Functor.initial_equivalence_comp", "CategoryTheory.Functor.initial_iff_comp_equivalence", "CategoryTheory.Functor.initial_iff_equivalence_comp", "CategoryTheory.Functor.initial_iff_initial_comp", "CategoryTheory.Functor.initial_iff_isCofiltered_costructuredArrow", "CategoryTheory.Functor.initial_iff_of_isCofiltered", "CategoryTheory.Functor.initial_of_adjunction", "CategoryTheory.Functor.initial_of_comp_full_faithful'", "CategoryTheory.Functor.initial_of_exists_of_isCofiltered", "CategoryTheory.Functor.initial_of_exists_of_isCofiltered_of_fullyFaithful", "CategoryTheory.Functor.initial_of_final_op", "CategoryTheory.Functor.initial_of_initial_comp", "CategoryTheory.Functor.initial_of_isCofiltered_costructuredArrow", "CategoryTheory.Functor.inl_biprodComparison'", "CategoryTheory.Functor.inv_fun_map", "CategoryTheory.Functor.isContinuous_of_coverPreserving", "CategoryTheory.Functor.isEquivalence_iff_of_iso", "CategoryTheory.Functor.isEquivalence_of_comp_left", "CategoryTheory.Functor.isEquivalence_of_comp_right", "CategoryTheory.Functor.isEquivalence_of_isRightAdjoint", "CategoryTheory.Functor.isEquivalence_of_iso", "CategoryTheory.Functor.isHomological_of_localization", "CategoryTheory.Functor.isIso_lanAdjunction_counit_app_iff", "CategoryTheory.Functor.isLeftKanExtension_iff_isIso", "CategoryTheory.Functor.isLeftKanExtension_iff_of_iso", "CategoryTheory.Functor.isLeftKanExtension_iff_of_iso\u2082", "CategoryTheory.Functor.isLeftKanExtension_iff_postcomp\u2081", "CategoryTheory.Functor.isLeftKanExtension_iff_precomp", "CategoryTheory.Functor.isLeftKanExtension_of_iso", "CategoryTheory.Functor.isMittagLeffler_iff_eventualRange", "CategoryTheory.Functor.isMittagLeffler_iff_subset_range_comp", "CategoryTheory.Functor.isMittagLeffler_of_exists_finite_range", "CategoryTheory.Functor.isMittagLeffler_of_surjective", "CategoryTheory.Functor.isRightDerivedFunctor_iff_isIso_rightDerivedDesc", "CategoryTheory.Functor.isRightDerivedFunctor_iff_of_iso", "CategoryTheory.Functor.isRightKanExtension_iff_isIso", "CategoryTheory.Functor.isRightKanExtension_iff_of_iso", "CategoryTheory.Functor.isRightKanExtension_iff_of_iso\u2082", "CategoryTheory.Functor.isRightKanExtension_iff_postcomp\u2081", "CategoryTheory.Functor.isRightKanExtension_iff_precomp", "CategoryTheory.Functor.isRightKanExtension_of_iso", "CategoryTheory.Functor.isSplitEpi_iff", "CategoryTheory.Functor.isSplitMono_iff", "CategoryTheory.Functor.isZero", "CategoryTheory.Functor.isZero_iff", "CategoryTheory.Functor.isZero_leftDerived_obj_projective_succ", "CategoryTheory.Functor.isZero_rightDerived_obj_injective_succ", "CategoryTheory.Functor.isoShift_inv_naturality", "CategoryTheory.Functor.lanAdjunction_counit_app", "CategoryTheory.Functor.lanAdjunction_unit", "CategoryTheory.Functor.lanUnit_app_app_lanAdjunction_counit_app_app", "CategoryTheory.Functor.lanUnit_app_whiskerLeft_lanAdjunction_counit_app", "CategoryTheory.Functor.leftDerivedZeroIsoSelf_hom_inv_id", "CategoryTheory.Functor.leftDerivedZeroIsoSelf_hom_inv_id_app", "CategoryTheory.Functor.leftDerivedZeroIsoSelf_inv_hom_id", "CategoryTheory.Functor.leftDerivedZeroIsoSelf_inv_hom_id_app", "CategoryTheory.Functor.leftDerived_map_eq", "CategoryTheory.Functor.liftOfIsRightKanExtension_fac", "CategoryTheory.Functor.locallyCoverDense_of_isCoverDense", "CategoryTheory.Functor.mapBiprod_hom", "CategoryTheory.Functor.mapBiprod_inv", "CategoryTheory.Functor.mapBiproduct_hom", "CategoryTheory.Functor.mapHomologicalComplex_commShiftIso_eq", "CategoryTheory.Functor.mapHomologicalComplex_commShiftIso_inv_app_f", "CategoryTheory.Functor.mapHomologicalComplex_upToQuasiIso_Q_inverts_quasiIso", "CategoryTheory.Functor.mapHomotopyCategory_map", "CategoryTheory.Functor.mapIso_injective", "CategoryTheory.Functor.mapIso_refl", "CategoryTheory.Functor.mapIso_symm", "CategoryTheory.Functor.mapIso_trans", "CategoryTheory.Functor.mapPresheaf_map_c", "CategoryTheory.Functor.mapPresheaf_map_f", "CategoryTheory.Functor.mapPresheaf_obj_presheaf", "CategoryTheory.Functor.map_add", "CategoryTheory.Functor.map_commSq", "CategoryTheory.Functor.map_comp_assoc", "CategoryTheory.Functor.map_comp_heq'", "CategoryTheory.Functor.map_conj", "CategoryTheory.Functor.map_conjAut", "CategoryTheory.Functor.map_distinguished_exact", "CategoryTheory.Functor.map_dite", "CategoryTheory.Functor.map_eq_zero_iff", "CategoryTheory.Functor.map_exact", "CategoryTheory.Functor.map_hom_inv", "CategoryTheory.Functor.map_injective", "CategoryTheory.Functor.map_inv", "CategoryTheory.Functor.map_inv_hom", "CategoryTheory.Functor.map_isPullback", "CategoryTheory.Functor.map_isPushout", "CategoryTheory.Functor.map_neg", "CategoryTheory.Functor.map_nsmul", "CategoryTheory.Functor.map_preimage", "CategoryTheory.Functor.map_shiftFunctorComm_hom_app", "CategoryTheory.Functor.map_shiftFunctorCompIsoId_hom_app", "CategoryTheory.Functor.map_shiftFunctorCompIsoId_inv_app", "CategoryTheory.Functor.map_smul", "CategoryTheory.Functor.map_sub", "CategoryTheory.Functor.map_surjective", "CategoryTheory.Functor.map_zero", "CategoryTheory.Functor.map_zsmul", "CategoryTheory.Functor.mem_eventualRange_iff", "CategoryTheory.Functor.mem_homologicalKernel_W_iff", "CategoryTheory.Functor.mem_homologicalKernel_iff", "CategoryTheory.Functor.mono_of_mono_map", "CategoryTheory.Functor.monotone", "CategoryTheory.Functor.obj_mem_essImage", "CategoryTheory.Functor.ofSequence_map_homOfLE_succ", "CategoryTheory.Functor.op_comp_isSheafOfTypes", "CategoryTheory.Functor.pi'_eval", "CategoryTheory.Functor.pi_ext", "CategoryTheory.Functor.postcomp_map_heq", "CategoryTheory.Functor.postcomp_map_heq'", "CategoryTheory.Functor.precomp_map_heq", "CategoryTheory.Functor.preimageIso_mapIso", "CategoryTheory.Functor.preimage_comp", "CategoryTheory.Functor.preimage_id", "CategoryTheory.Functor.preservesEpimorphisms.of_iso", "CategoryTheory.Functor.preservesEpimorphisms_of_map_exact", "CategoryTheory.Functor.preservesEpimorphisms_of_preserves_of_reflects", "CategoryTheory.Functor.preservesEpimorphsisms_of_adjunction", "CategoryTheory.Functor.preservesMonomorphisms.iso_iff", "CategoryTheory.Functor.preservesMonomorphisms.of_iso", "CategoryTheory.Functor.preservesMonomorphisms_of_adjunction", "CategoryTheory.Functor.preservesMonomorphisms_of_map_exact", "CategoryTheory.Functor.preservesZeroMorphisms_of_iso", "CategoryTheory.Functor.preservesZeroMorphisms_of_map_exact", "CategoryTheory.Functor.preservesZeroMorphisms_of_map_zero_object", "CategoryTheory.Functor.punit_ext'", "CategoryTheory.Functor.pushforwardContinuousSheafificationCompatibility_hom_app_val", "CategoryTheory.Functor.quasiIso'_of_map_quasiIso'", "CategoryTheory.Functor.ranges_directed", "CategoryTheory.Functor.reflectsEpimorphisms.of_iso", "CategoryTheory.Functor.reflectsMonomorphisms.of_iso", "CategoryTheory.Functor.reflectsMonomorphisms_of_preserves_of_reflects", "CategoryTheory.Functor.reflects_precoherent", "CategoryTheory.Functor.reflects_preregular", "CategoryTheory.Functor.reprW_app_hom", "CategoryTheory.Functor.rightDerivedNatTrans_comp", "CategoryTheory.Functor.rightDerivedNatTrans_fac", "CategoryTheory.Functor.rightDerivedZeroIsoSelf_hom_inv_id_app", "CategoryTheory.Functor.rightDerived_fac", "CategoryTheory.Functor.rightDerived_fac_app", "CategoryTheory.Functor.rightDerived_map_eq", "CategoryTheory.Functor.rotate_essImageDistTriang", "CategoryTheory.Functor.sections_ext_iff", "CategoryTheory.Functor.sections_property", "CategoryTheory.Functor.shiftIso_add", "CategoryTheory.Functor.shiftIso_add'", "CategoryTheory.Functor.shiftIso_add'_hom_app", "CategoryTheory.Functor.shiftIso_add'_inv_app", "CategoryTheory.Functor.shiftIso_add_hom_app", "CategoryTheory.Functor.shiftIso_add_inv_app", "CategoryTheory.Functor.shiftIso_hom_app_comp", "CategoryTheory.Functor.shiftIso_hom_app_comp_shiftMap", "CategoryTheory.Functor.shiftIso_hom_app_comp_shiftMap_of_add_eq_zero", "CategoryTheory.Functor.shiftIso_hom_naturality", "CategoryTheory.Functor.shiftIso_inv_naturality", "CategoryTheory.Functor.shiftIso_zero", "CategoryTheory.Functor.shiftIso_zero_hom_app", "CategoryTheory.Functor.shiftIso_zero_inv_app", "CategoryTheory.Functor.shiftMap_comp", "CategoryTheory.Functor.shiftMap_comp'", "CategoryTheory.Functor.shiftMap_zero", "CategoryTheory.Functor.strongEpi_map_iff_strongEpi_of_isEquivalence", "CategoryTheory.Functor.sum_map_inl", "CategoryTheory.Functor.sum_map_inr", "CategoryTheory.Functor.sum_obj_inr", "CategoryTheory.Functor.surjective_toEventualRanges", "CategoryTheory.Functor.thin_diagram_of_surjective", "CategoryTheory.Functor.toCostructuredArrow_comp_proj", "CategoryTheory.Functor.toPreimages_nonempty_of_surjective", "CategoryTheory.Functor.toSheafify_pullbackSheafificationCompatibility", "CategoryTheory.Functor.uncurry_obj_curry_obj", "CategoryTheory.Functor.uncurry_obj_curry_obj_flip_flip", "CategoryTheory.Functor.uncurry_obj_curry_obj_flip_flip'", "CategoryTheory.Functor.uncurry_obj_injective", "CategoryTheory.Functor.whiskerLeft_obj_map_bijective_of_isCoverDense", "CategoryTheory.Functor.\u03b9_biproductComparison'", "CategoryTheory.FunctorToTypes.binaryProductIso_hom_comp_fst", "CategoryTheory.FunctorToTypes.binaryProductIso_hom_comp_snd", "CategoryTheory.FunctorToTypes.binaryProductIso_inv_comp_fst", "CategoryTheory.FunctorToTypes.binaryProductIso_inv_comp_snd", "CategoryTheory.FunctorToTypes.binaryProductIso_inv_comp_snd_apply", "CategoryTheory.FunctorToTypes.comp", "CategoryTheory.FunctorToTypes.coprod.desc_inl", "CategoryTheory.FunctorToTypes.coprod.desc_inr", "CategoryTheory.FunctorToTypes.eqToHom_map_comp_apply", "CategoryTheory.FunctorToTypes.hcomp", "CategoryTheory.FunctorToTypes.inl_comp_binaryCoproductIso_hom", "CategoryTheory.FunctorToTypes.inl_comp_binaryCoproductIso_hom_apply", "CategoryTheory.FunctorToTypes.inl_comp_binaryCoproductIso_inv", "CategoryTheory.FunctorToTypes.inl_comp_binaryCoproductIso_inv_apply", "CategoryTheory.FunctorToTypes.inr_comp_binaryCoproductIso_hom", "CategoryTheory.FunctorToTypes.inr_comp_binaryCoproductIso_hom_apply", "CategoryTheory.FunctorToTypes.inv_hom_id_app_apply", "CategoryTheory.FunctorToTypes.jointly_surjective", "CategoryTheory.FunctorToTypes.map_comp_apply", "CategoryTheory.FunctorToTypes.map_hom_map_inv_apply", "CategoryTheory.FunctorToTypes.map_id_apply", "CategoryTheory.FunctorToTypes.map_inv_map_hom_apply", "CategoryTheory.FunctorToTypes.naturality", "CategoryTheory.FunctorToTypes.prod.lift_fst", "CategoryTheory.FunctorToTypes.prod.lift_snd", "CategoryTheory.FunctorToTypes.prodMk_fst", "CategoryTheory.FunctorToTypes.prodMk_snd", "CategoryTheory.FunctorToTypes.prod_ext", "CategoryTheory.GlueData.diagramIso_app_left", "CategoryTheory.GlueData.diagramIso_app_right", "CategoryTheory.GlueData.diagramIso_hom_app_right", "CategoryTheory.GlueData.diagramIso_inv_app_right", "CategoryTheory.GlueData.diagram_fst", "CategoryTheory.GlueData.diagram_fstFrom", "CategoryTheory.GlueData.diagram_left", "CategoryTheory.GlueData.diagram_r", "CategoryTheory.GlueData.diagram_sndFrom", "CategoryTheory.GlueData.glue_condition", "CategoryTheory.GlueData.hasColimit_multispan_comp", "CategoryTheory.GlueData.t'_comp_eq_pullbackSymmetry", "CategoryTheory.GlueData.t'_iij", "CategoryTheory.GlueData.t'_iji", "CategoryTheory.GlueData.t'_inv", "CategoryTheory.GlueData.t'_jii", "CategoryTheory.GlueData.t_inv", "CategoryTheory.GlueData.types_\u03b9_jointly_surjective", "CategoryTheory.GlueData.types_\u03c0_surjective", "CategoryTheory.GlueData.\u03b9_gluedIso_hom", "CategoryTheory.GlueData.\u03b9_gluedIso_inv", "CategoryTheory.GlueData.\u03b9_jointly_surjective", "CategoryTheory.GradedObject.CofanMapObjFun.\u03b9MapObj_iso_inv", "CategoryTheory.GradedObject.HasGoodTrifunctor\u2082\u2083Obj.hasMap", "CategoryTheory.GradedObject.Monoidal.tensorHom_def", "CategoryTheory.GradedObject.Monoidal.tensor_comp", "CategoryTheory.GradedObject.Monoidal.tensor_id", "CategoryTheory.GradedObject.Monoidal.\u03b9_tensorHom", "CategoryTheory.GradedObject.TriangleIndexData.r_zero", "CategoryTheory.GradedObject.comapEq_symm", "CategoryTheory.GradedObject.comapEq_trans", "CategoryTheory.GradedObject.congr_mapMap", "CategoryTheory.GradedObject.eqToHom_apply", "CategoryTheory.GradedObject.eqToHom_proj", "CategoryTheory.GradedObject.hasMap_comp", "CategoryTheory.GradedObject.hasMap_of_iso", "CategoryTheory.GradedObject.isIso_of_isIso_apply", "CategoryTheory.GradedObject.mapBifunctorBifunctor\u2082\u2083MapObj_ext", "CategoryTheory.GradedObject.mapBifunctorLeftUnitorCofan_inj", "CategoryTheory.GradedObject.mapBifunctorLeftUnitor_hasMap", "CategoryTheory.GradedObject.mapBifunctorLeftUnitor_inv_apply", "CategoryTheory.GradedObject.mapBifunctorLeftUnitor_inv_naturality", "CategoryTheory.GradedObject.mapBifunctorLeftUnitor_naturality", "CategoryTheory.GradedObject.mapBifunctorMapObj_ext", "CategoryTheory.GradedObject.mapBifunctorRightUnitor_inv_apply", "CategoryTheory.GradedObject.mapBifunctorRightUnitor_inv_naturality", "CategoryTheory.GradedObject.mapBifunctorRightUnitor_naturality", "CategoryTheory.GradedObject.mapBifunctor_triangle", "CategoryTheory.GradedObject.mapBifunctor\u2081\u2082BifunctorMapObj_ext", "CategoryTheory.GradedObject.mapMap_comp", "CategoryTheory.GradedObject.mapMap_id", "CategoryTheory.GradedObject.mapTrifunctorMapObj_ext", "CategoryTheory.GradedObject.shiftFunctor_obj_apply", "CategoryTheory.GradedObject.singleObjApplyIso_inv_single_map", "CategoryTheory.GradedObject.single_map_singleObjApplyIsoOfEq_hom", "CategoryTheory.GradedObject.single_map_singleObjApplyIso_hom", "CategoryTheory.GradedObject.\u03b9MapBifunctor\u2081\u2082BifunctorMapObj_eq", "CategoryTheory.GradedObject.\u03b9MapObjOrZero_eq", "CategoryTheory.GradedObject.\u03b9MapObjOrZero_eq_zero", "CategoryTheory.GradedObject.\u03b9MapObjOrZero_mapMap", "CategoryTheory.GradedObject.\u03b9_descMapObj", "CategoryTheory.GradedObject.\u03b9_mapBifunctorAssociator_inv", "CategoryTheory.GradedObject.\u03b9_mapBifunctorComp\u2081\u2082MapObjIso_hom", "CategoryTheory.GradedObject.\u03b9_mapBifunctorComp\u2081\u2082MapObjIso_inv", "CategoryTheory.GradedObject.\u03b9_mapBifunctorComp\u2082\u2083MapObjIso_hom", "CategoryTheory.GradedObject.\u03b9_mapBifunctorLeftUnitor_hom_apply", "CategoryTheory.GradedObject.\u03b9_mapBifunctorMapMap", "CategoryTheory.GradedObject.\u03b9_mapBifunctorMapObjDesc", "CategoryTheory.GradedObject.\u03b9_mapBifunctorRightUnitor_hom_apply", "CategoryTheory.GradedObject.\u03b9_mapMap", "CategoryTheory.GradedObject.\u03b9_mapTrifunctorMapMap", "CategoryTheory.Grothendieck.congr", "CategoryTheory.Grothendieck.ext", "CategoryTheory.Grothendieck.id_fiber'", "CategoryTheory.GrothendieckTopology.Cover.Arrow.from_middle_condition", "CategoryTheory.GrothendieckTopology.Cover.Arrow.middle_spec", "CategoryTheory.GrothendieckTopology.Cover.condition", "CategoryTheory.GrothendieckTopology.Cover.ext", "CategoryTheory.GrothendieckTopology.Cover.preOneHypercover_sieve\u2080", "CategoryTheory.GrothendieckTopology.Cover.preOneHypercover_sieve\u2081", "CategoryTheory.GrothendieckTopology.CoversTop.ext", "CategoryTheory.GrothendieckTopology.CoversTop.sections_ext", "CategoryTheory.GrothendieckTopology.OneHypercover.mem_sieve\u2081'", "CategoryTheory.GrothendieckTopology.OneHypercover.multiforkLift_map", "CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.fac", "CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.fac'", "CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.hom_ext", "CategoryTheory.GrothendieckTopology.OneHypercoverFamily.exists_oneHypercover", "CategoryTheory.GrothendieckTopology.OneHypercoverFamily.isSheaf_iff", "CategoryTheory.GrothendieckTopology.Plus.eq_mk_iff_exists", "CategoryTheory.GrothendieckTopology.Plus.exists_of_sep", "CategoryTheory.GrothendieckTopology.Plus.exists_rep", "CategoryTheory.GrothendieckTopology.Plus.inj_of_sep", "CategoryTheory.GrothendieckTopology.Plus.isSheaf_of_sep", "CategoryTheory.GrothendieckTopology.Plus.isSheaf_plus_plus", "CategoryTheory.GrothendieckTopology.Plus.res_mk_eq_mk_pullback", "CategoryTheory.GrothendieckTopology.Plus.sep", "CategoryTheory.GrothendieckTopology.Plus.toPlus_apply", "CategoryTheory.GrothendieckTopology.Plus.toPlus_eq_mk", "CategoryTheory.GrothendieckTopology.Plus.toPlus_mk", "CategoryTheory.GrothendieckTopology.Subpresheaf.eq_sheafify", "CategoryTheory.GrothendieckTopology.Subpresheaf.eq_sheafify_iff", "CategoryTheory.GrothendieckTopology.Subpresheaf.eq_top_iff_isIso", "CategoryTheory.GrothendieckTopology.Subpresheaf.family_of_elements_compatible", "CategoryTheory.GrothendieckTopology.Subpresheaf.homOfLe_\u03b9", "CategoryTheory.GrothendieckTopology.Subpresheaf.isSheaf_iff", "CategoryTheory.GrothendieckTopology.Subpresheaf.le_sheafify", "CategoryTheory.GrothendieckTopology.Subpresheaf.nat_trans_naturality", "CategoryTheory.GrothendieckTopology.Subpresheaf.sheafify_isSheaf", "CategoryTheory.GrothendieckTopology.Subpresheaf.sheafify_le", "CategoryTheory.GrothendieckTopology.Subpresheaf.to_sheafifyLift", "CategoryTheory.GrothendieckTopology.Subpresheaf.to_sheafify_lift_unique", "CategoryTheory.GrothendieckTopology.W.isLocallyInjective", "CategoryTheory.GrothendieckTopology.W.isLocallySurjective", "CategoryTheory.GrothendieckTopology.WEqualsLocallyBijective.mk'", "CategoryTheory.GrothendieckTopology.WEqualsLocallyBijective.transport", "CategoryTheory.GrothendieckTopology.W_eq_W_range_sheafToPresheaf_obj", "CategoryTheory.GrothendieckTopology.W_eq_inverseImage_isomorphisms", "CategoryTheory.GrothendieckTopology.W_eq_inverseImage_isomorphisms_of_adjunction", "CategoryTheory.GrothendieckTopology.W_iff", "CategoryTheory.GrothendieckTopology.W_inverseImage_whiskeringLeft", "CategoryTheory.GrothendieckTopology.W_isInvertedBy_whiskeringRight_presheafToSheaf", "CategoryTheory.GrothendieckTopology.W_of_isLocallyBijective", "CategoryTheory.GrothendieckTopology.W_sheafToPreheaf_map_iff_isIso", "CategoryTheory.GrothendieckTopology.W_whiskerLeft_iff", "CategoryTheory.GrothendieckTopology.arrow_intersect", "CategoryTheory.GrothendieckTopology.arrow_max", "CategoryTheory.GrothendieckTopology.arrow_trans", "CategoryTheory.GrothendieckTopology.bot_covering", "CategoryTheory.GrothendieckTopology.bot_covers", "CategoryTheory.GrothendieckTopology.close_close", "CategoryTheory.GrothendieckTopology.close_eq_self_of_isClosed", "CategoryTheory.GrothendieckTopology.close_eq_top_iff_mem", "CategoryTheory.GrothendieckTopology.covering_iff_covers_id", "CategoryTheory.GrothendieckTopology.covering_of_eq_top", "CategoryTheory.GrothendieckTopology.covers_iff", "CategoryTheory.GrothendieckTopology.covers_iff_mem_of_isClosed", "CategoryTheory.GrothendieckTopology.diagramCompIso_hom_\u03b9", "CategoryTheory.GrothendieckTopology.diagramNatTrans_comp", "CategoryTheory.GrothendieckTopology.diagramNatTrans_id", "CategoryTheory.GrothendieckTopology.diagramNatTrans_zero", "CategoryTheory.GrothendieckTopology.discrete_eq_top", "CategoryTheory.GrothendieckTopology.imagePresheaf_id", "CategoryTheory.GrothendieckTopology.isClosed_pullback", "CategoryTheory.GrothendieckTopology.isGLB_sInf", "CategoryTheory.GrothendieckTopology.isIso_toPlus_of_isSheaf", "CategoryTheory.GrothendieckTopology.isIso_toSheafify", "CategoryTheory.GrothendieckTopology.isoSheafify_hom", "CategoryTheory.GrothendieckTopology.isoSheafify_inv", "CategoryTheory.GrothendieckTopology.isoToPlus_inv", "CategoryTheory.GrothendieckTopology.le_close", "CategoryTheory.GrothendieckTopology.le_close_of_isClosed", "CategoryTheory.GrothendieckTopology.le_def", "CategoryTheory.GrothendieckTopology.liftToPlusObjLimitObj_fac", "CategoryTheory.GrothendieckTopology.mem_over_iff", "CategoryTheory.GrothendieckTopology.overEquiv_symm_mem_over", "CategoryTheory.GrothendieckTopology.over_forget_compatiblePreserving", "CategoryTheory.GrothendieckTopology.over_forget_coverPreserving", "CategoryTheory.GrothendieckTopology.over_map_compatiblePreserving", "CategoryTheory.GrothendieckTopology.over_map_coverPreserving", "CategoryTheory.GrothendieckTopology.plusCompIso_inv_eq_plusLift", "CategoryTheory.GrothendieckTopology.plusCompIso_whiskerLeft", "CategoryTheory.GrothendieckTopology.plusCompIso_whiskerRight", "CategoryTheory.GrothendieckTopology.plusLift_unique", "CategoryTheory.GrothendieckTopology.plusMap_comp", "CategoryTheory.GrothendieckTopology.plusMap_id", "CategoryTheory.GrothendieckTopology.plusMap_plusLift", "CategoryTheory.GrothendieckTopology.plusMap_toPlus", "CategoryTheory.GrothendieckTopology.plusMap_zero", "CategoryTheory.GrothendieckTopology.plus_hom_ext", "CategoryTheory.GrothendieckTopology.preservesSheafification_iff_of_adjunctions", "CategoryTheory.GrothendieckTopology.preservesSheafification_iff_of_adjunctions_of_hasSheafCompose", "CategoryTheory.GrothendieckTopology.pullback_close", "CategoryTheory.GrothendieckTopology.pullback_stable", "CategoryTheory.GrothendieckTopology.right_ore_of_pullbacks", "CategoryTheory.GrothendieckTopology.sheafToPresheaf_map_sheafComposeNatTrans_eq_sheafifyCompIso_inv", "CategoryTheory.GrothendieckTopology.sheafificationWhiskerLeftIso_hom_app", "CategoryTheory.GrothendieckTopology.sheafificationWhiskerLeftIso_inv_app", "CategoryTheory.GrothendieckTopology.sheafificationWhiskerRightIso_hom_app", "CategoryTheory.GrothendieckTopology.sheafificationWhiskerRightIso_inv_app", "CategoryTheory.GrothendieckTopology.sheafification_obj", "CategoryTheory.GrothendieckTopology.sheafifyCompIso_inv_eq_sheafifyLift", "CategoryTheory.GrothendieckTopology.sheafifyLift_unique", "CategoryTheory.GrothendieckTopology.sheafifyMap_comp", "CategoryTheory.GrothendieckTopology.sheafifyMap_id", "CategoryTheory.GrothendieckTopology.sheafifyMap_sheafifyLift", "CategoryTheory.GrothendieckTopology.sheafify_hom_ext", "CategoryTheory.GrothendieckTopology.sheafify_isSheaf", "CategoryTheory.GrothendieckTopology.superset_covering", "CategoryTheory.GrothendieckTopology.toImagePresheaf_\u03b9", "CategoryTheory.GrothendieckTopology.toImageSheaf_\u03b9", "CategoryTheory.GrothendieckTopology.toPlus_comp_plusCompIso_inv", "CategoryTheory.GrothendieckTopology.toPlus_naturality", "CategoryTheory.GrothendieckTopology.toPlus_plusLift", "CategoryTheory.GrothendieckTopology.toSheafification_app", "CategoryTheory.GrothendieckTopology.toSheafify_comp_sheafifyCompIso_inv", "CategoryTheory.GrothendieckTopology.toSheafify_naturality", "CategoryTheory.GrothendieckTopology.toSheafify_sheafifyLift", "CategoryTheory.GrothendieckTopology.top_covers", "CategoryTheory.GrothendieckTopology.top_mem", "CategoryTheory.GrothendieckTopology.transitive", "CategoryTheory.GrothendieckTopology.trivial_eq_bot", "CategoryTheory.GrothendieckTopology.whiskerRight_toPlus_comp_plusCompIso_hom", "CategoryTheory.GrothendieckTopology.whiskerRight_toSheafify_sheafifyCompIso_hom", "CategoryTheory.GrothendieckTopology.\u03b9_plusCompIso_hom", "CategoryTheory.Groupoid.Free.congr_comp_reverse", "CategoryTheory.Groupoid.Free.congr_reverse", "CategoryTheory.Groupoid.Free.freeGroupoidFunctor_comp", "CategoryTheory.Groupoid.Free.lift_spec", "CategoryTheory.Groupoid.Free.lift_unique", "CategoryTheory.Groupoid.Free.of_eq", "CategoryTheory.Groupoid.inv_eq_inv", "CategoryTheory.Groupoid.isIsomorphic_iff_nonempty_hom", "CategoryTheory.Groupoid.isThin_iff", "CategoryTheory.Groupoid.reverse_eq_inv", "CategoryTheory.Groupoid.vertexGroup.inv_eq_inv", "CategoryTheory.Grpd.id_to_functor", "CategoryTheory.HasLiftingProperty.iff_unop", "CategoryTheory.HasLiftingProperty.of_arrow_iso_left", "CategoryTheory.HasLiftingProperty.of_arrow_iso_right", "CategoryTheory.HasLiftingProperty.op", "CategoryTheory.HasLiftingProperty.unop", "CategoryTheory.HasSheafify.mk'", "CategoryTheory.HasShift.Induced.add_hom_app_obj", "CategoryTheory.HasShift.Induced.add_inv_app_obj", "CategoryTheory.HasShift.Induced.zero_hom_app_obj", "CategoryTheory.HasShift.Induced.zero_inv_app_obj", "CategoryTheory.HasShift.shift_obj_obj", "CategoryTheory.HomOrthogonal.equiv_of_iso", "CategoryTheory.HomOrthogonal.matrixDecomposition_comp", "CategoryTheory.HomOrthogonal.matrixDecomposition_id", "CategoryTheory.Idempotents.DoldKan.N\u2082_map_iso\u0393\u2080_hom_app_f", "CategoryTheory.Idempotents.DoldKan.equivalence_inverse", "CategoryTheory.Idempotents.DoldKan.equivalence_unitIso", "CategoryTheory.Idempotents.DoldKan.h\u03b5", "CategoryTheory.Idempotents.DoldKan.h\u03b7", "CategoryTheory.Idempotents.DoldKan.isoN\u2081_hom_app_f", "CategoryTheory.Idempotents.Equivalence.isIdempotentComplete", "CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comm_f", "CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_comp_d", "CategoryTheory.Idempotents.Karoubi.HomologicalComplex.p_idem", "CategoryTheory.Idempotents.Karoubi.coe_p", "CategoryTheory.Idempotents.Karoubi.comp_f", "CategoryTheory.Idempotents.Karoubi.comp_p", "CategoryTheory.Idempotents.Karoubi.comp_proof", "CategoryTheory.Idempotents.Karoubi.decompId", "CategoryTheory.Idempotents.Karoubi.decomp_p", "CategoryTheory.Idempotents.Karoubi.eqToHom_f", "CategoryTheory.Idempotents.Karoubi.ext", "CategoryTheory.Idempotents.Karoubi.hom_ext", "CategoryTheory.Idempotents.Karoubi.hom_ext_iff", "CategoryTheory.Idempotents.Karoubi.id_eq", "CategoryTheory.Idempotents.Karoubi.karoubi_hasFiniteBiproducts", "CategoryTheory.Idempotents.Karoubi.p_comm", "CategoryTheory.Idempotents.Karoubi.p_comp", "CategoryTheory.Idempotents.Karoubi.sum_hom", "CategoryTheory.Idempotents.Karoubi.zsmul_hom", "CategoryTheory.Idempotents.KaroubiKaroubi.idem_f", "CategoryTheory.Idempotents.KaroubiKaroubi.p_comm_f", "CategoryTheory.Idempotents.app_comp_p", "CategoryTheory.Idempotents.app_p_comp", "CategoryTheory.Idempotents.idem_of_id_sub_idem", "CategoryTheory.Idempotents.isIdempotentComplete_iff_hasEqualizer_of_id_and_idempotent", "CategoryTheory.Idempotents.isIdempotentComplete_iff_idempotents_have_kernels", "CategoryTheory.Idempotents.isIdempotentComplete_iff_opposite", "CategoryTheory.Idempotents.isIdempotentComplete_of_isIdempotentComplete_opposite", "CategoryTheory.Idempotents.karoubiUniversal_functor_eq", "CategoryTheory.Idempotents.karoubiUniversal\u2082_functor_eq", "CategoryTheory.Idempotents.natTrans_eq", "CategoryTheory.Idempotents.split_iff_of_iso", "CategoryTheory.Idempotents.split_imp_of_iso", "CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding", "CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app", "CategoryTheory.InitiallySmall.exists_small_weakly_initial_set", "CategoryTheory.InitiallySmall.mk'", "CategoryTheory.Injective.Exact.comp_desc", "CategoryTheory.Injective.comp_factorThru", "CategoryTheory.Injective.enoughInjectives_of_enoughProjectives_op", "CategoryTheory.Injective.injective_iff_preservesEpimorphisms_preadditiveYoneda_obj", "CategoryTheory.Injective.injective_iff_preservesEpimorphisms_preadditive_yoneda_obj'", "CategoryTheory.Injective.injective_iff_preservesEpimorphisms_yoneda_obj", "CategoryTheory.Injective.injective_iff_projective_op", "CategoryTheory.Injective.iso_iff", "CategoryTheory.Injective.of_iso", "CategoryTheory.Injective.projective_iff_injective_op", "CategoryTheory.InjectiveResolution.cocomplex_exactAt_succ", "CategoryTheory.InjectiveResolution.comp_descHomotopyZeroSucc", "CategoryTheory.InjectiveResolution.descFOne_zero_comm", "CategoryTheory.InjectiveResolution.desc_commutes", "CategoryTheory.InjectiveResolution.desc_commutes_zero", "CategoryTheory.InjectiveResolution.exact_succ", "CategoryTheory.InjectiveResolution.homotopyEquiv_hom_\u03b9", "CategoryTheory.InjectiveResolution.homotopyEquiv_inv_\u03b9", "CategoryTheory.InjectiveResolution.isoRightDerivedObj_hom_naturality", "CategoryTheory.InjectiveResolution.isoRightDerivedObj_inv_naturality", "CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_hom_naturality", "CategoryTheory.InjectiveResolution.isoRightDerivedToHomotopyCategoryObj_inv_naturality", "CategoryTheory.InjectiveResolution.iso_hom_naturality", "CategoryTheory.InjectiveResolution.iso_inv_naturality", "CategoryTheory.InjectiveResolution.ofCocomplex_d_0_1", "CategoryTheory.InjectiveResolution.ofCocomplex_exactAt_succ", "CategoryTheory.InjectiveResolution.rightDerivedToHomotopyCategory_app_eq", "CategoryTheory.InjectiveResolution.rightDerived_app_eq", "CategoryTheory.InjectiveResolution.toRightDerivedZero'_comp_iCycles", "CategoryTheory.InjectiveResolution.toRightDerivedZero'_naturality", "CategoryTheory.InjectiveResolution.toRightDerivedZero_eq", "CategoryTheory.InjectiveResolution.\u03b9_f_succ", "CategoryTheory.InjectiveResolution.\u03b9_f_zero_comp_complex_d", "CategoryTheory.IsCodetecting.isCoseparating", "CategoryTheory.IsCodetecting.mono", "CategoryTheory.IsCodetector.def", "CategoryTheory.IsCodetector.isCoseparator", "CategoryTheory.IsCofiltered.cone_nonempty", "CategoryTheory.IsCofiltered.cospan", "CategoryTheory.IsCofiltered.eq_condition", "CategoryTheory.IsCofiltered.iff_cone_nonempty", "CategoryTheory.IsCofiltered.iff_nonempty_limit", "CategoryTheory.IsCofiltered.infTo_commutes", "CategoryTheory.IsCofiltered.inf_exists", "CategoryTheory.IsCofiltered.inf_objs_exists", "CategoryTheory.IsCofiltered.isConnected", "CategoryTheory.IsCofiltered.of_cone_nonempty", "CategoryTheory.IsCofiltered.of_equivalence", "CategoryTheory.IsCofiltered.of_exists_of_isCofiltered_of_fullyFaithful", "CategoryTheory.IsCofiltered.of_hasFiniteLimits", "CategoryTheory.IsCofiltered.of_isInitial", "CategoryTheory.IsCofiltered.small_fullSubcategory_cofilteredClosure", "CategoryTheory.IsCofilteredOrEmpty.isPreconnected", "CategoryTheory.IsCofilteredOrEmpty.of_equivalence", "CategoryTheory.IsCofilteredOrEmpty.of_exists_of_isCofiltered_of_fullyFaithful", "CategoryTheory.IsCofilteredOrEmpty.of_initial", "CategoryTheory.IsCofilteredOrEmpty.of_left_adjoint", "CategoryTheory.IsConnected.of_constant_of_preserves_morphisms", "CategoryTheory.IsConnected.of_induct", "CategoryTheory.IsCoreflexivePair.common_retraction", "CategoryTheory.IsCoreflexivePair.mk'", "CategoryTheory.IsCoreflexivePair.swap", "CategoryTheory.IsCoseparating.isCodetecting", "CategoryTheory.IsCoseparating.mono", "CategoryTheory.IsDetecting.isSeparating", "CategoryTheory.IsDetecting.mono", "CategoryTheory.IsDetector.def", "CategoryTheory.IsDetector.isSeparator", "CategoryTheory.IsFiltered.bowtie", "CategoryTheory.IsFiltered.cocone_nonempty", "CategoryTheory.IsFiltered.coeq_condition", "CategoryTheory.IsFiltered.coeq\u2083_condition\u2081", "CategoryTheory.IsFiltered.coeq\u2083_condition\u2082", "CategoryTheory.IsFiltered.coeq\u2083_condition\u2083", "CategoryTheory.IsFiltered.iff_cocone_nonempty", "CategoryTheory.IsFiltered.iff_nonempty_limit", "CategoryTheory.IsFiltered.of_cocone_nonempty", "CategoryTheory.IsFiltered.of_equivalence", "CategoryTheory.IsFiltered.of_exists_of_isFiltered_of_fullyFaithful", "CategoryTheory.IsFiltered.of_final", "CategoryTheory.IsFiltered.of_hasFiniteColimits", "CategoryTheory.IsFiltered.of_isRightAdjoint", "CategoryTheory.IsFiltered.of_isTerminal", "CategoryTheory.IsFiltered.of_right_adjoint", "CategoryTheory.IsFiltered.small_fullSubcategory_filteredClosure", "CategoryTheory.IsFiltered.span", "CategoryTheory.IsFiltered.sup_exists", "CategoryTheory.IsFiltered.sup_objs_exists", "CategoryTheory.IsFiltered.toSup_commutes", "CategoryTheory.IsFiltered.tulip", "CategoryTheory.IsFilteredOrEmpty.isPreconnected", "CategoryTheory.IsFilteredOrEmpty.of_equivalence", "CategoryTheory.IsFilteredOrEmpty.of_exists_of_isFiltered_of_fullyFaithful", "CategoryTheory.IsFilteredOrEmpty.of_final", "CategoryTheory.IsFilteredOrEmpty.of_isRightAdjoint", "CategoryTheory.IsFilteredOrEmpty.of_right_adjoint", "CategoryTheory.IsHomLift.codomain_eq", "CategoryTheory.IsHomLift.commSq", "CategoryTheory.IsHomLift.comp_eqToHom_lift_iff", "CategoryTheory.IsHomLift.comp_lift_id_left'", "CategoryTheory.IsHomLift.comp_lift_id_right'", "CategoryTheory.IsHomLift.eqToHom_codomain_lift_id", "CategoryTheory.IsHomLift.eqToHom_comp_lift_iff", "CategoryTheory.IsHomLift.eqToHom_domain_lift_id", "CategoryTheory.IsHomLift.eq_of_isHomLift", "CategoryTheory.IsHomLift.fac", "CategoryTheory.IsHomLift.fac'", "CategoryTheory.IsHomLift.id_lift_eqToHom_domain", "CategoryTheory.IsHomLift.isoOfIsoLift_hom_inv_id", "CategoryTheory.IsHomLift.lift_comp_eqToHom_iff", "CategoryTheory.IsHomLift.of_commSq", "CategoryTheory.IsHomLift.of_fac", "CategoryTheory.IsHomLift.of_fac'", "CategoryTheory.IsInitial.isVanKampenColimit", "CategoryTheory.IsIso.Iso.inv_hom", "CategoryTheory.IsIso.Iso.inv_inv", "CategoryTheory.IsIso.comp_inv_eq", "CategoryTheory.IsIso.eq_comp_inv", "CategoryTheory.IsIso.eq_inv_comp", "CategoryTheory.IsIso.eq_inv_of_hom_inv_id", "CategoryTheory.IsIso.eq_inv_of_inv_hom_id", "CategoryTheory.IsIso.hom_inv_id", "CategoryTheory.IsIso.hom_inv_id_assoc", "CategoryTheory.IsIso.inv_comp", "CategoryTheory.IsIso.inv_comp_eq", "CategoryTheory.IsIso.inv_eq_inv", "CategoryTheory.IsIso.inv_eq_of_hom_inv_id", "CategoryTheory.IsIso.inv_eq_of_inv_hom_id", "CategoryTheory.IsIso.inv_hom_id", "CategoryTheory.IsIso.inv_hom_id_assoc", "CategoryTheory.IsIso.inv_id", "CategoryTheory.IsIso.inv_inv", "CategoryTheory.IsIso.of_epi_section'", "CategoryTheory.IsIso.of_isIso_comp_left", "CategoryTheory.IsIso.of_isIso_comp_right", "CategoryTheory.IsIso.of_isIso_fac_left", "CategoryTheory.IsIso.of_isIso_fac_right", "CategoryTheory.IsIso.of_mono_retraction", "CategoryTheory.IsIso.of_mono_retraction'", "CategoryTheory.IsKernelPair.cancel_right", "CategoryTheory.IsKernelPair.cancel_right_of_mono", "CategoryTheory.IsKernelPair.comp_of_mono", "CategoryTheory.IsKernelPair.id_of_mono", "CategoryTheory.IsKernelPair.isIso_of_mono", "CategoryTheory.IsKernelPair.lift_fst", "CategoryTheory.IsKernelPair.mono_of_isIso_fst", "CategoryTheory.IsKernelPair.of_isIso_of_mono", "CategoryTheory.IsKernelPair.pullback", "CategoryTheory.IsPullback.cone_fst", "CategoryTheory.IsPullback.flip", "CategoryTheory.IsPullback.flip_iff", "CategoryTheory.IsPullback.inl_snd", "CategoryTheory.IsPullback.inl_snd'", "CategoryTheory.IsPullback.inr_fst", "CategoryTheory.IsPullback.inr_fst'", "CategoryTheory.IsPullback.isoPullback_hom_fst", "CategoryTheory.IsPullback.isoPullback_hom_snd", "CategoryTheory.IsPullback.isoPullback_inv_fst", "CategoryTheory.IsPullback.isoPullback_inv_snd", "CategoryTheory.IsPullback.map_iff", "CategoryTheory.IsPullback.of_bot", "CategoryTheory.IsPullback.of_hasBinaryBiproduct", "CategoryTheory.IsPullback.of_hasBinaryProduct", "CategoryTheory.IsPullback.of_hasBinaryProduct'", "CategoryTheory.IsPullback.of_hasPullback", "CategoryTheory.IsPullback.of_has_biproduct", "CategoryTheory.IsPullback.of_horiz_isIso", "CategoryTheory.IsPullback.of_isBilimit", "CategoryTheory.IsPullback.of_isLimit", "CategoryTheory.IsPullback.of_isLimit'", "CategoryTheory.IsPullback.of_is_bilimit'", "CategoryTheory.IsPullback.of_is_product", "CategoryTheory.IsPullback.of_iso_pullback", "CategoryTheory.IsPullback.of_map", "CategoryTheory.IsPullback.of_map_of_faithful", "CategoryTheory.IsPullback.of_right", "CategoryTheory.IsPullback.of_vert_isIso", "CategoryTheory.IsPullback.op", "CategoryTheory.IsPullback.paste_horiz", "CategoryTheory.IsPullback.paste_horiz_iff", "CategoryTheory.IsPullback.paste_vert", "CategoryTheory.IsPullback.unop", "CategoryTheory.IsPullback.zero_bot", "CategoryTheory.IsPullback.zero_left", "CategoryTheory.IsPullback.zero_right", "CategoryTheory.IsPushout.IsVanKampen.flip", "CategoryTheory.IsPushout.cocone_inl", "CategoryTheory.IsPushout.cocone_inr", "CategoryTheory.IsPushout.flip", "CategoryTheory.IsPushout.flip_iff", "CategoryTheory.IsPushout.inl_isoPushout_hom", "CategoryTheory.IsPushout.inl_snd", "CategoryTheory.IsPushout.inl_snd'", "CategoryTheory.IsPushout.inr_fst", "CategoryTheory.IsPushout.inr_isoPushout_hom", "CategoryTheory.IsPushout.inr_isoPushout_inv", "CategoryTheory.IsPushout.isVanKampen_iff", "CategoryTheory.IsPushout.isVanKampen_inl", "CategoryTheory.IsPushout.of_hasBinaryBiproduct", "CategoryTheory.IsPushout.of_hasBinaryCoproduct", "CategoryTheory.IsPushout.of_hasBinaryCoproduct'", "CategoryTheory.IsPushout.of_hasPushout", "CategoryTheory.IsPushout.of_has_biproduct", "CategoryTheory.IsPushout.of_horiz_isIso", "CategoryTheory.IsPushout.of_isBilimit", "CategoryTheory.IsPushout.of_isColimit", "CategoryTheory.IsPushout.of_is_bilimit'", "CategoryTheory.IsPushout.of_iso_pushout", "CategoryTheory.IsPushout.of_map", "CategoryTheory.IsPushout.of_map_of_faithful", "CategoryTheory.IsPushout.of_right", "CategoryTheory.IsPushout.of_vert_isIso", "CategoryTheory.IsPushout.op", "CategoryTheory.IsPushout.unop", "CategoryTheory.IsPushout.zero_left", "CategoryTheory.IsPushout.zero_right", "CategoryTheory.IsReflexivePair.mk'", "CategoryTheory.IsSeparating.isDetecting", "CategoryTheory.IsSeparator.def", "CategoryTheory.IsSeparator.isDetector", "CategoryTheory.IsSplitCoequalizer.asCofork_\u03c0", "CategoryTheory.IsSplitEpi.mk'", "CategoryTheory.IsSplitMono.id", "CategoryTheory.IsSplitMono.mk'", "CategoryTheory.IsSubterminal.def", "CategoryTheory.IsSubterminal.isIso_diag", "CategoryTheory.IsSubterminal.mono_isTerminal_from", "CategoryTheory.IsSubterminal.mono_terminal_from", "CategoryTheory.IsTriangulated.mk'", "CategoryTheory.IsUniversalColimit.map_reflective", "CategoryTheory.IsUniversalColimit.of_iso", "CategoryTheory.IsUniversalColimit.of_mapCocone", "CategoryTheory.IsUniversalColimit.precompose_isIso", "CategoryTheory.IsUniversalColimit.whiskerEquivalence", "CategoryTheory.IsUniversalColimit.whiskerEquivalence_iff", "CategoryTheory.IsVanKampenColimit.isUniversal", "CategoryTheory.IsVanKampenColimit.mapCocone_iff", "CategoryTheory.IsVanKampenColimit.map_reflective", "CategoryTheory.IsVanKampenColimit.of_iso", "CategoryTheory.IsVanKampenColimit.of_mapCocone", "CategoryTheory.IsVanKampenColimit.precompose_isIso", "CategoryTheory.IsVanKampenColimit.precompose_isIso_iff", "CategoryTheory.IsVanKampenColimit.whiskerEquivalence", "CategoryTheory.IsVanKampenColimit.whiskerEquivalence_iff", "CategoryTheory.Iso.cancel_iso_hom_left", "CategoryTheory.Iso.cancel_iso_hom_right", "CategoryTheory.Iso.cancel_iso_hom_right_assoc", "CategoryTheory.Iso.cancel_iso_inv_left", "CategoryTheory.Iso.cancel_iso_inv_right", "CategoryTheory.Iso.cancel_iso_inv_right_assoc", "CategoryTheory.Iso.commRingIsoToRingEquiv_toRingHom", "CategoryTheory.Iso.comp_hom_eq_id", "CategoryTheory.Iso.comp_inv_eq", "CategoryTheory.Iso.comp_inv_eq_id", "CategoryTheory.Iso.conjAut_apply", "CategoryTheory.Iso.conjAut_hom", "CategoryTheory.Iso.conjAut_mul", "CategoryTheory.Iso.conjAut_pow", "CategoryTheory.Iso.conjAut_zpow", "CategoryTheory.Iso.conj_comp", "CategoryTheory.Iso.conj_id", "CategoryTheory.Iso.conj_pow", "CategoryTheory.Iso.eq_comp_inv", "CategoryTheory.Iso.eq_inv_comp", "CategoryTheory.Iso.ext", "CategoryTheory.Iso.homCongr_apply", "CategoryTheory.Iso.homCongr_comp", "CategoryTheory.Iso.homCongr_refl", "CategoryTheory.Iso.homCongr_symm", "CategoryTheory.Iso.homCongr_trans", "CategoryTheory.Iso.hom_comp_eq_id", "CategoryTheory.Iso.hom_eq_inv", "CategoryTheory.Iso.hom_inv_id_app", "CategoryTheory.Iso.hom_inv_id_eval", "CategoryTheory.Iso.hom_inv_id_triangle_hom\u2081", "CategoryTheory.Iso.inv_comp_eq", "CategoryTheory.Iso.inv_eq_inv", "CategoryTheory.Iso.inv_ext", "CategoryTheory.Iso.inv_ext'", "CategoryTheory.Iso.inv_hom_id_app", "CategoryTheory.Iso.inv_hom_id_eval", "CategoryTheory.Iso.inv_hom_id_triangle_hom\u2081", "CategoryTheory.Iso.inv_hom_id_triangle_hom\u2083", "CategoryTheory.Iso.isIso_hom", "CategoryTheory.Iso.isIso_inv", "CategoryTheory.Iso.isZero_iff", "CategoryTheory.Iso.map_hom_inv_id", "CategoryTheory.Iso.map_hom_inv_id_app", "CategoryTheory.Iso.map_hom_inv_id_eval", "CategoryTheory.Iso.map_hom_inv_id_eval_app", "CategoryTheory.Iso.map_inv_hom_id", "CategoryTheory.Iso.map_inv_hom_id_app", "CategoryTheory.Iso.map_inv_hom_id_eval", "CategoryTheory.Iso.map_inv_hom_id_eval_app", "CategoryTheory.Iso.nonempty_iso_refl", "CategoryTheory.Iso.nonempty_iso_symm", "CategoryTheory.Iso.refl_conj", "CategoryTheory.Iso.refl_symm", "CategoryTheory.Iso.refl_trans", "CategoryTheory.Iso.self_symm_id", "CategoryTheory.Iso.self_symm_id_assoc", "CategoryTheory.Iso.symm_eq_iff", "CategoryTheory.Iso.symm_hom", "CategoryTheory.Iso.symm_inv", "CategoryTheory.Iso.symm_mk", "CategoryTheory.Iso.symm_self_conj", "CategoryTheory.Iso.symm_self_id_assoc", "CategoryTheory.Iso.symm_symm_eq", "CategoryTheory.Iso.toBialgEquiv_refl", "CategoryTheory.Iso.toBialgEquiv_trans", "CategoryTheory.Iso.toCoalgEquiv_symm", "CategoryTheory.Iso.toCoalgEquiv_toCoalgHom", "CategoryTheory.Iso.toEquiv_comp", "CategoryTheory.Iso.toEquiv_fun", "CategoryTheory.Iso.toEquiv_id", "CategoryTheory.Iso.toEquiv_symm_fun", "CategoryTheory.Iso.to_eq", "CategoryTheory.Iso.trans_assoc", "CategoryTheory.Iso.trans_conj", "CategoryTheory.Iso.trans_conjAut", "CategoryTheory.Iso.trans_refl", "CategoryTheory.Iso.unop_hom_inv_id_app", "CategoryTheory.Iso.unop_inv_hom_id_app", "CategoryTheory.KleisliCat.comp_def", "CategoryTheory.Lan.coreflective", "CategoryTheory.LaxBraidedFunctor.ext'", "CategoryTheory.LaxMonoidalFunctor.associativity_inv", "CategoryTheory.LaxMonoidalFunctor.left_unitality_inv", "CategoryTheory.LaxMonoidalFunctor.prod'_toFunctor", "CategoryTheory.LaxMonoidalFunctor.prod'_\u03b5", "CategoryTheory.LaxMonoidalFunctor.right_unitality_inv", "CategoryTheory.LaxMonoidalFunctor.\u03bc_natural", "CategoryTheory.LeftExactFunctor.forget_map", "CategoryTheory.LeftExactFunctor.forget_obj_of", "CategoryTheory.LeftExactFunctor.ofExact_map", "CategoryTheory.LeftExactFunctor.ofExact_obj", "CategoryTheory.LeftExactFunctor.of_fst", "CategoryTheory.Limits.Bicone.toCocone_\u03b9_app", "CategoryTheory.Limits.Bicone.toCocone_\u03b9_app_mk", "CategoryTheory.Limits.Bicone.toCone_proj", "CategoryTheory.Limits.Bicone.toCone_pt", "CategoryTheory.Limits.Bicone.toCone_\u03c0_app", "CategoryTheory.Limits.Bicone.toCone_\u03c0_app_mk", "CategoryTheory.Limits.Bicone.\u03c0_of_isColimit", "CategoryTheory.Limits.BinaryBicone.binary_cofan_inl_toCocone", "CategoryTheory.Limits.BinaryBicone.binary_fan_fst_toCone", "CategoryTheory.Limits.BinaryBicone.fstKernelFork_\u03b9", "CategoryTheory.Limits.BinaryBicone.inrCokernelCofork_\u03c0", "CategoryTheory.Limits.BinaryBicone.sndKernelFork_\u03b9", "CategoryTheory.Limits.BinaryBicone.toCocone_\u03b9_app_left", "CategoryTheory.Limits.BinaryBicone.toCocone_\u03b9_app_right", "CategoryTheory.Limits.BinaryBicone.toCone_pt", "CategoryTheory.Limits.BinaryBicone.toCone_\u03c0_app_left", "CategoryTheory.Limits.BinaryBiconeMorphism.ext", "CategoryTheory.Limits.BinaryBiproduct.bicone_fst", "CategoryTheory.Limits.BinaryBiproduct.bicone_inr", "CategoryTheory.Limits.BinaryCofan.IsColimit.hom_ext", "CategoryTheory.Limits.BinaryCofan.isColimit_iff_isIso_inl", "CategoryTheory.Limits.BinaryCofan.isColimit_iff_isIso_inr", "CategoryTheory.Limits.BinaryCofan.mk_inl", "CategoryTheory.Limits.BinaryCofan.mk_inr", "CategoryTheory.Limits.BinaryCofan.\u03b9_app_left", "CategoryTheory.Limits.BinaryCofan.\u03b9_app_right", "CategoryTheory.Limits.BinaryFan.IsLimit.hom_ext", "CategoryTheory.Limits.BinaryFan.assocInv_fst", "CategoryTheory.Limits.BinaryFan.assoc_snd", "CategoryTheory.Limits.BinaryFan.isLimit_iff_isIso_fst", "CategoryTheory.Limits.BinaryFan.isLimit_iff_isIso_snd", "CategoryTheory.Limits.BinaryFan.mk_fst", "CategoryTheory.Limits.BinaryFan.swap_fst", "CategoryTheory.Limits.BinaryFan.swap_snd", "CategoryTheory.Limits.BinaryFan.\u03c0_app_left", "CategoryTheory.Limits.BinaryFan.\u03c0_app_right", "CategoryTheory.Limits.ClosedUnderColimitsOfShape.colimit", "CategoryTheory.Limits.Cocone.ofCofork_\u03b9", "CategoryTheory.Limits.Cocone.ofCotrident_\u03b9", "CategoryTheory.Limits.Cocone.toCostructuredArrow_comp_proj", "CategoryTheory.Limits.Cocone.toCostructuredArrow_comp_toOver_comp_forget", "CategoryTheory.Limits.Cocone.w", "CategoryTheory.Limits.CoconeMorphism.ext", "CategoryTheory.Limits.Cocones.cocone_iso_of_hom_iso", "CategoryTheory.Limits.Cofan.IsColimit.hom_ext", "CategoryTheory.Limits.Cofan.isColimit_iff_isIso_sigmaDesc", "CategoryTheory.Limits.Cofork.IsColimit.existsUnique", "CategoryTheory.Limits.Cofork.IsColimit.homIso_natural", "CategoryTheory.Limits.Cofork.IsColimit.hom_ext", "CategoryTheory.Limits.Cofork.IsColimit.\u03c0_desc", "CategoryTheory.Limits.Cofork.app_zero_eq_comp_\u03c0_left", "CategoryTheory.Limits.Cofork.app_zero_eq_comp_\u03c0_right", "CategoryTheory.Limits.Cofork.condition", "CategoryTheory.Limits.Cofork.\u03c0_of\u03c0", "CategoryTheory.Limits.CokernelCofork.IsColimit.isIso_\u03c0", "CategoryTheory.Limits.CokernelCofork.condition", "CategoryTheory.Limits.CokernelCofork.map_condition", "CategoryTheory.Limits.CokernelCofork.map_\u03c0", "CategoryTheory.Limits.CokernelCofork.\u03c0_eq_zero", "CategoryTheory.Limits.CokernelCofork.\u03c0_mapOfIsColimit", "CategoryTheory.Limits.CokernelCofork.\u03c0_of\u03c0", "CategoryTheory.Limits.CompleteLattice.colimit_eq_iSup", "CategoryTheory.Limits.CompleteLattice.coprod_eq_sup", "CategoryTheory.Limits.CompleteLattice.finite_colimit_eq_finset_univ_sup", "CategoryTheory.Limits.CompleteLattice.finite_coproduct_eq_finset_sup", "CategoryTheory.Limits.CompleteLattice.finite_limit_eq_finset_univ_inf", "CategoryTheory.Limits.CompleteLattice.finite_product_eq_finset_inf", "CategoryTheory.Limits.CompleteLattice.limit_eq_iInf", "CategoryTheory.Limits.CompleteLattice.prod_eq_inf", "CategoryTheory.Limits.CompleteLattice.pullback_eq_inf", "CategoryTheory.Limits.CompleteLattice.pushout_eq_sup", "CategoryTheory.Limits.Concrete.Pi.map_ext", "CategoryTheory.Limits.Concrete.cokernel_funext", "CategoryTheory.Limits.Concrete.colimit_exists_rep", "CategoryTheory.Limits.Concrete.colimit_rep_eq_iff_exists", "CategoryTheory.Limits.Concrete.colimit_rep_eq_of_exists", "CategoryTheory.Limits.Concrete.empty_of_initial_of_preserves", "CategoryTheory.Limits.Concrete.from_union_surjective_of_isColimit", "CategoryTheory.Limits.Concrete.initial_iff_empty_of_preserves_of_reflects", "CategoryTheory.Limits.Concrete.initial_of_empty_of_reflects", "CategoryTheory.Limits.Concrete.isColimit_exists_of_rep_eq", "CategoryTheory.Limits.Concrete.isColimit_exists_rep", "CategoryTheory.Limits.Concrete.isColimit_rep_eq_of_exists", "CategoryTheory.Limits.Concrete.isLimit_ext", "CategoryTheory.Limits.Concrete.limit_ext", "CategoryTheory.Limits.Concrete.multiequalizer_ext", "CategoryTheory.Limits.Concrete.prodEquiv_symm_apply_fst", "CategoryTheory.Limits.Concrete.prodEquiv_symm_apply_snd", "CategoryTheory.Limits.Concrete.productEquiv_apply_apply", "CategoryTheory.Limits.Concrete.productEquiv_symm_apply_\u03c0", "CategoryTheory.Limits.Concrete.pullbackMk_fst", "CategoryTheory.Limits.Concrete.pullbackMk_surjective", "CategoryTheory.Limits.Concrete.small_sections_of_hasLimit", "CategoryTheory.Limits.Concrete.to_product_injective_of_isLimit", "CategoryTheory.Limits.Concrete.widePullback_ext", "CategoryTheory.Limits.Concrete.widePullback_ext'", "CategoryTheory.Limits.Concrete.widePushout_exists_rep", "CategoryTheory.Limits.Concrete.widePushout_exists_rep'", "CategoryTheory.Limits.Cone.ofTrident_\u03c0", "CategoryTheory.Limits.Cone.toStructuredArrow_comp_toUnder_comp_forget", "CategoryTheory.Limits.Cone.w", "CategoryTheory.Limits.ConeMorphism.ext", "CategoryTheory.Limits.Cotrident.IsColimit.homIso_natural", "CategoryTheory.Limits.Cotrident.IsColimit.hom_ext", "CategoryTheory.Limits.Cotrident.app_one", "CategoryTheory.Limits.Cotrident.coequalizer_ext", "CategoryTheory.Limits.Cotrident.ofCocone_\u03b9", "CategoryTheory.Limits.Cotrident.\u03c0_of\u03c0", "CategoryTheory.Limits.DiagramOfCocones.mkOfHasColimits_coconePoints", "CategoryTheory.Limits.DiagramOfCones.mkOfHasLimits_conePoints", "CategoryTheory.Limits.Fan.IsLimit.hom_ext", "CategoryTheory.Limits.Fork.IsLimit.existsUnique", "CategoryTheory.Limits.Fork.IsLimit.homIso_natural", "CategoryTheory.Limits.Fork.IsLimit.lift_\u03b9", "CategoryTheory.Limits.Fork.IsLimit.lift_\u03b9'", "CategoryTheory.Limits.Fork.app_one_eq_\u03b9_comp_left", "CategoryTheory.Limits.Fork.app_one_eq_\u03b9_comp_right", "CategoryTheory.Limits.Fork.app_zero_eq_\u03b9", "CategoryTheory.Limits.Fork.condition", "CategoryTheory.Limits.Fork.equalizer_ext", "CategoryTheory.Limits.Fork.hom_comp_\u03b9", "CategoryTheory.Limits.Fork.\u03b9_of\u03b9", "CategoryTheory.Limits.Fork.\u03b9_postcompose", "CategoryTheory.Limits.HasBinaryBiproduct.mk", "CategoryTheory.Limits.HasBinaryBiproduct.of_hasBinaryCoproduct", "CategoryTheory.Limits.HasBinaryProduct.swap", "CategoryTheory.Limits.HasBiproduct.mk", "CategoryTheory.Limits.HasBiproduct.of_hasCoproduct", "CategoryTheory.Limits.HasBiproduct.of_hasProduct", "CategoryTheory.Limits.HasCoequalizersOfHasPushoutsAndBinaryCoproducts.pushoutInl_eq_pushout_inr", "CategoryTheory.Limits.HasColimit.isoOfEquivalence_hom_\u03c0", "CategoryTheory.Limits.HasColimit.isoOfNatIso_hom_desc", "CategoryTheory.Limits.HasColimit.isoOfNatIso_inv_desc", "CategoryTheory.Limits.HasColimit.isoOfNatIso_\u03b9_hom", "CategoryTheory.Limits.HasColimit.isoOfNatIso_\u03b9_inv", "CategoryTheory.Limits.HasColimit.mk", "CategoryTheory.Limits.HasColimits.hasColimitsOfShape", "CategoryTheory.Limits.HasEqualizersOfHasPullbacksAndBinaryProducts.pullbackFst_eq_pullback_snd", "CategoryTheory.Limits.HasFiniteBiproducts.of_hasFiniteCoproducts", "CategoryTheory.Limits.HasFiniteBiproducts.of_hasFiniteProducts", "CategoryTheory.Limits.HasImage.mk", "CategoryTheory.Limits.HasImage.of_arrow_iso", "CategoryTheory.Limits.HasImage.uniq", "CategoryTheory.Limits.HasImageMap.transport", "CategoryTheory.Limits.HasLimit.isoOfEquivalence_inv_\u03c0", "CategoryTheory.Limits.HasLimit.isoOfNatIso_hom_\u03c0", "CategoryTheory.Limits.HasLimit.isoOfNatIso_inv_\u03c0", "CategoryTheory.Limits.HasLimit.lift_isoOfNatIso_hom", "CategoryTheory.Limits.HasLimit.lift_isoOfNatIso_inv", "CategoryTheory.Limits.HasLimit.mk", "CategoryTheory.Limits.HasLimits.has_limits_of_shape", "CategoryTheory.Limits.HasZeroMorphisms.ext", "CategoryTheory.Limits.HasZeroMorphisms.ext_aux", "CategoryTheory.Limits.HasZeroObject.to_zero_ext", "CategoryTheory.Limits.HasZeroObject.zeroIsoInitial_hom", "CategoryTheory.Limits.HasZeroObject.zeroIsoIsInitial_inv", "CategoryTheory.Limits.HasZeroObject.zeroIsoIsTerminal_hom", "CategoryTheory.Limits.HasZeroObject.zeroIsoIsTerminal_inv", "CategoryTheory.Limits.HasZeroObject.zeroIsoTerminal_hom", "CategoryTheory.Limits.HasZeroObject.zeroIsoTerminal_inv", "CategoryTheory.Limits.ImageMap.factor_map", "CategoryTheory.Limits.ImageMap.map_uniq", "CategoryTheory.Limits.ImageMap.map_uniq_aux", "CategoryTheory.Limits.ImageMap.mk.injEq'", "CategoryTheory.Limits.InitialMonoClass.of_isInitial", "CategoryTheory.Limits.InitialMonoClass.of_terminal", "CategoryTheory.Limits.IsBilimit.binary_total", "CategoryTheory.Limits.IsBilimit.total", "CategoryTheory.Limits.IsColimit.OfNatIso.coconeOfHom_fac", "CategoryTheory.Limits.IsColimit.OfNatIso.coconeOfHom_homOfCocone", "CategoryTheory.Limits.IsColimit.OfNatIso.cocone_fac", "CategoryTheory.Limits.IsColimit.OfNatIso.homOfCocone_cooneOfHom", "CategoryTheory.Limits.IsColimit.coconePointUniqueUpToIso_inv_desc", "CategoryTheory.Limits.IsColimit.coconePointsIsoOfNatIso_inv_desc", "CategoryTheory.Limits.IsColimit.comp_coconePointUniqueUpToIso_hom", "CategoryTheory.Limits.IsColimit.comp_coconePointUniqueUpToIso_inv", "CategoryTheory.Limits.IsColimit.comp_coconePointsIsoOfNatIso_inv", "CategoryTheory.Limits.IsColimit.desc_self", "CategoryTheory.Limits.IsColimit.equivIsoColimit_symm_apply", "CategoryTheory.Limits.IsColimit.existsUnique", "CategoryTheory.Limits.IsColimit.homIso_hom", "CategoryTheory.Limits.IsColimit.hom_desc", "CategoryTheory.Limits.IsColimit.hom_ext", "CategoryTheory.Limits.IsColimit.isIso_\u03b9_app_of_isTerminal", "CategoryTheory.Limits.IsColimit.isZero_pt", "CategoryTheory.Limits.IsColimit.ofCoconeEquiv_apply_desc", "CategoryTheory.Limits.IsColimit.ofCoconeEquiv_symm_apply_desc", "CategoryTheory.Limits.IsColimit.ofIsoColimit_desc", "CategoryTheory.Limits.IsColimit.uniq_cocone_morphism", "CategoryTheory.Limits.IsColimit.\u03b9_map", "CategoryTheory.Limits.IsImage.e_isoExt_hom", "CategoryTheory.Limits.IsImage.isoExt_hom_m", "CategoryTheory.Limits.IsImage.isoExt_inv_m", "CategoryTheory.Limits.IsImage.lift_\u03b9", "CategoryTheory.Limits.IsIndObject.finallySmall", "CategoryTheory.Limits.IsIndObject.iff_of_iso", "CategoryTheory.Limits.IsIndObject.isFiltered", "CategoryTheory.Limits.IsIndObject.map", "CategoryTheory.Limits.IsInitial.epi_to", "CategoryTheory.Limits.IsInitial.hasInitial", "CategoryTheory.Limits.IsInitial.mono_from", "CategoryTheory.Limits.IsInitial.strict_hom_ext", "CategoryTheory.Limits.IsInitial.to_comp", "CategoryTheory.Limits.IsInitial.to_self", "CategoryTheory.Limits.IsLimit.OfNatIso.coneOfHom_fac", "CategoryTheory.Limits.IsLimit.OfNatIso.coneOfHom_homOfCone", "CategoryTheory.Limits.IsLimit.OfNatIso.cone_fac", "CategoryTheory.Limits.IsLimit.OfNatIso.homOfCone_coneOfHom", "CategoryTheory.Limits.IsLimit.conePointUniqueUpToIso_hom_comp", "CategoryTheory.Limits.IsLimit.conePointUniqueUpToIso_inv_comp", "CategoryTheory.Limits.IsLimit.conePointsIsoOfNatIso_hom_comp", "CategoryTheory.Limits.IsLimit.conePointsIsoOfNatIso_inv_comp", "CategoryTheory.Limits.IsLimit.equivIsoLimit_apply", "CategoryTheory.Limits.IsLimit.existsUnique", "CategoryTheory.Limits.IsLimit.homIso_hom", "CategoryTheory.Limits.IsLimit.hom_ext", "CategoryTheory.Limits.IsLimit.hom_isIso", "CategoryTheory.Limits.IsLimit.isIso_\u03c0_app_of_isInitial", "CategoryTheory.Limits.IsLimit.isZero_pt", "CategoryTheory.Limits.IsLimit.liftConeMorphism_eq_isTerminal_from", "CategoryTheory.Limits.IsLimit.lift_comp_conePointsIsoOfNatIso_hom", "CategoryTheory.Limits.IsLimit.lift_self", "CategoryTheory.Limits.IsLimit.map_\u03c0", "CategoryTheory.Limits.IsLimit.ofIsoLimit_lift", "CategoryTheory.Limits.IsLimit.uniq_cone_morphism", "CategoryTheory.Limits.IsTerminal.comp_from", "CategoryTheory.Limits.IsTerminal.hasTerminal", "CategoryTheory.Limits.IsTerminal.strict_hom_ext", "CategoryTheory.Limits.IsTerminal.subsingleton_to", "CategoryTheory.Limits.IsZero.eq_from", "CategoryTheory.Limits.IsZero.eq_of_src", "CategoryTheory.Limits.IsZero.eq_of_tgt", "CategoryTheory.Limits.IsZero.eq_zero_of_src", "CategoryTheory.Limits.IsZero.from_eq", "CategoryTheory.Limits.IsZero.hasZeroObject", "CategoryTheory.Limits.IsZero.iff_id_eq_zero", "CategoryTheory.Limits.IsZero.iff_isSplitEpi_eq_zero", "CategoryTheory.Limits.IsZero.iff_isSplitMono_eq_zero", "CategoryTheory.Limits.IsZero.injective", "CategoryTheory.Limits.IsZero.map", "CategoryTheory.Limits.IsZero.obj", "CategoryTheory.Limits.IsZero.of_epi", "CategoryTheory.Limits.IsZero.of_epi_eq_zero", "CategoryTheory.Limits.IsZero.of_iso", "CategoryTheory.Limits.IsZero.of_mono", "CategoryTheory.Limits.IsZero.of_mono_zero", "CategoryTheory.Limits.IsZero.to_eq", "CategoryTheory.Limits.IsZero.unop", "CategoryTheory.Limits.KernelFork.IsLimit.isIso_\u03b9", "CategoryTheory.Limits.KernelFork.mapOfIsLimit_\u03b9", "CategoryTheory.Limits.KernelFork.map_condition", "CategoryTheory.Limits.KernelFork.\u03b9_of\u03b9", "CategoryTheory.Limits.MonoCoprod.binaryCofan_inr", "CategoryTheory.Limits.MonoCoprod.mk'", "CategoryTheory.Limits.MonoCoprod.monoCoprod_of_preservesCoprod_of_reflectsMono", "CategoryTheory.Limits.MonoCoprod.mono_binaryCofanSum_inl'", "CategoryTheory.Limits.MonoCoprod.mono_binaryCofanSum_inr'", "CategoryTheory.Limits.MonoCoprod.mono_inj", "CategoryTheory.Limits.MonoCoprod.mono_inl_iff", "CategoryTheory.Limits.MonoCoprod.mono_map'_of_injective", "CategoryTheory.Limits.MonoCoprod.mono_of_injective_aux", "CategoryTheory.Limits.MonoFactorisation.ext", "CategoryTheory.Limits.MonoFactorisation.kernel_\u03b9_comp", "CategoryTheory.Limits.Multicoequalizer.condition", "CategoryTheory.Limits.Multicoequalizer.hom_ext", "CategoryTheory.Limits.Multicoequalizer.multicofork_\u03b9_app_right'", "CategoryTheory.Limits.Multicoequalizer.\u03b9_sigma\u03c0", "CategoryTheory.Limits.Multicofork.fst_app_right", "CategoryTheory.Limits.Multicofork.ofSigmaCofork_\u03b9_app_left", "CategoryTheory.Limits.Multicofork.toSigmaCofork_\u03c0", "CategoryTheory.Limits.Multicofork.\u03c0_comp_hom", "CategoryTheory.Limits.Multicofork.\u03c0_eq_app_right", "CategoryTheory.Limits.MulticospanIndex.fstPiMap_\u03c0", "CategoryTheory.Limits.MulticospanIndex.sndPiMap_\u03c0", "CategoryTheory.Limits.Multiequalizer.condition", "CategoryTheory.Limits.Multiequalizer.hom_ext", "CategoryTheory.Limits.Multiequalizer.lift_\u03b9", "CategoryTheory.Limits.Multiequalizer.multifork_\u03b9", "CategoryTheory.Limits.Multiequalizer.\u03b9Pi_\u03c0", "CategoryTheory.Limits.Multifork.IsLimit.fac", "CategoryTheory.Limits.Multifork.IsLimit.hom_ext", "CategoryTheory.Limits.Multifork.app_left_eq_\u03b9", "CategoryTheory.Limits.Multifork.app_right_eq_\u03b9_comp_fst", "CategoryTheory.Limits.Multifork.app_right_eq_\u03b9_comp_snd", "CategoryTheory.Limits.Multifork.condition", "CategoryTheory.Limits.Multifork.hom_comp_\u03b9", "CategoryTheory.Limits.Multifork.pi_condition", "CategoryTheory.Limits.Multifork.toPiFork_\u03c0_app_one", "CategoryTheory.Limits.Multifork.toPiFork_\u03c0_app_zero", "CategoryTheory.Limits.MultispanIndex.multispan_map_fst", "CategoryTheory.Limits.MultispanIndex.multispan_obj_right", "CategoryTheory.Limits.MultispanIndex.\u03b9_fstSigmaMap", "CategoryTheory.Limits.MultispanIndex.\u03b9_sndSigmaMap", "CategoryTheory.Limits.Pi.hom_ext", "CategoryTheory.Limits.Pi.lift_\u03c0", "CategoryTheory.Limits.Pi.map'_comp_map'", "CategoryTheory.Limits.Pi.map'_comp_\u03c0", "CategoryTheory.Limits.Pi.map'_eq", "CategoryTheory.Limits.Pi.map'_id", "CategoryTheory.Limits.Pi.map'_id_id", "CategoryTheory.Limits.Pi.map_id", "CategoryTheory.Limits.Pi.reindex_hom_\u03c0", "CategoryTheory.Limits.Pi.reindex_inv_\u03c0", "CategoryTheory.Limits.Pi.\u03c0_comp_eqToHom", "CategoryTheory.Limits.PreservesCokernel.iso_inv", "CategoryTheory.Limits.PreservesColimitPair.iso_hom", "CategoryTheory.Limits.PreservesEqualizer.iso_inv_\u03b9", "CategoryTheory.Limits.PreservesInitial.iso_hom", "CategoryTheory.Limits.PreservesKernel.iso_hom", "CategoryTheory.Limits.PreservesLimitPair.iso_inv_fst", "CategoryTheory.Limits.PreservesLimitPair.iso_inv_snd", "CategoryTheory.Limits.PreservesProduct.iso_hom", "CategoryTheory.Limits.PreservesPullback.iso_hom", "CategoryTheory.Limits.PreservesPullback.iso_hom_snd", "CategoryTheory.Limits.PreservesPullback.iso_inv_fst", "CategoryTheory.Limits.PreservesPullback.iso_inv_snd", "CategoryTheory.Limits.PreservesPushout.inl_iso_hom", "CategoryTheory.Limits.PreservesPushout.inl_iso_inv", "CategoryTheory.Limits.PreservesPushout.inr_iso_hom", "CategoryTheory.Limits.PreservesPushout.inr_iso_inv", "CategoryTheory.Limits.PreservesPushout.iso_hom", "CategoryTheory.Limits.PreservesTerminal.iso_hom", "CategoryTheory.Limits.PullbackCone.IsLimit.hom_ext", "CategoryTheory.Limits.PullbackCone.IsLimit.lift_fst", "CategoryTheory.Limits.PullbackCone.IsLimit.lift_snd", "CategoryTheory.Limits.PullbackCone.condition", "CategoryTheory.Limits.PullbackCone.condition_one", "CategoryTheory.Limits.PullbackCone.equalizer_ext", "CategoryTheory.Limits.PullbackCone.flip_fst", "CategoryTheory.Limits.PullbackCone.flip_pt", "CategoryTheory.Limits.PullbackCone.mk_\u03c0_app_right", "CategoryTheory.Limits.PullbackCone.mono_fst_of_is_pullback_of_mono", "CategoryTheory.Limits.PullbackCone.mono_of_isLimitMkIdId", "CategoryTheory.Limits.PullbackCone.mono_snd_of_is_pullback_of_mono", "CategoryTheory.Limits.PullbackCone.op_inl", "CategoryTheory.Limits.PullbackCone.snd_colimit_cocone", "CategoryTheory.Limits.PullbackCone.unop_inr", "CategoryTheory.Limits.PullbackCone.\u03c0_app_left", "CategoryTheory.Limits.PullbackCone.\u03c0_app_right", "CategoryTheory.Limits.PushoutCocone.IsColimit.hom_ext", "CategoryTheory.Limits.PushoutCocone.IsColimit.inl_desc", "CategoryTheory.Limits.PushoutCocone.IsColimit.inr_desc", "CategoryTheory.Limits.PushoutCocone.coequalizer_ext", "CategoryTheory.Limits.PushoutCocone.condition", "CategoryTheory.Limits.PushoutCocone.condition_zero", "CategoryTheory.Limits.PushoutCocone.epi_inl_of_is_pushout_of_epi", "CategoryTheory.Limits.PushoutCocone.epi_of_isColimitMkIdId", "CategoryTheory.Limits.PushoutCocone.flip_inl", "CategoryTheory.Limits.PushoutCocone.flip_inr", "CategoryTheory.Limits.PushoutCocone.flip_pt", "CategoryTheory.Limits.PushoutCocone.inl_colimit_cocone", "CategoryTheory.Limits.PushoutCocone.mk_inl", "CategoryTheory.Limits.PushoutCocone.mk_\u03b9_app_right", "CategoryTheory.Limits.PushoutCocone.mk_\u03b9_app_zero", "CategoryTheory.Limits.PushoutCocone.op_fst", "CategoryTheory.Limits.PushoutCocone.op_snd", "CategoryTheory.Limits.PushoutCocone.unop_fst", "CategoryTheory.Limits.PushoutCocone.unop_snd", "CategoryTheory.Limits.PushoutCocone.\u03b9_app_right", "CategoryTheory.Limits.Sigma.eqToHom_comp_\u03b9", "CategoryTheory.Limits.Sigma.hom_ext", "CategoryTheory.Limits.Sigma.map'_comp_map'", "CategoryTheory.Limits.Sigma.map'_eq", "CategoryTheory.Limits.Sigma.map_comp_map'", "CategoryTheory.Limits.Sigma.map_id", "CategoryTheory.Limits.Sigma.\u03b9_comp_map'", "CategoryTheory.Limits.Sigma.\u03b9_desc", "CategoryTheory.Limits.Sigma.\u03b9_reindex_hom", "CategoryTheory.Limits.Sigma.\u03b9_reindex_inv", "CategoryTheory.Limits.SingleObj.Types.Quot.Rel.iff_orbitRel", "CategoryTheory.Limits.Trident.IsLimit.homIso_natural", "CategoryTheory.Limits.Trident.IsLimit.hom_ext", "CategoryTheory.Limits.Trident.app_zero", "CategoryTheory.Limits.Trident.condition", "CategoryTheory.Limits.Trident.equalizer_ext", "CategoryTheory.Limits.Trident.\u03b9_of\u03b9", "CategoryTheory.Limits.Types.Colimit.\u03b9_desc_apply'", "CategoryTheory.Limits.Types.Colimit.\u03b9_map_apply", "CategoryTheory.Limits.Types.Colimit.\u03b9_map_apply'", "CategoryTheory.Limits.Types.FilteredColimit.colimit_eq_iff", "CategoryTheory.Limits.Types.FilteredColimit.colimit_eq_iff_aux", "CategoryTheory.Limits.Types.FilteredColimit.eqvGen_quot_rel_of_rel", "CategoryTheory.Limits.Types.FilteredColimit.isColimit_eq_iff", "CategoryTheory.Limits.Types.FilteredColimit.rel_eq_eqvGen_quot_rel", "CategoryTheory.Limits.Types.FilteredColimit.rel_equiv", "CategoryTheory.Limits.Types.FilteredColimit.rel_of_quot_rel", "CategoryTheory.Limits.Types.Image.lift_fac", "CategoryTheory.Limits.Types.Limit.lift_\u03c0_apply", "CategoryTheory.Limits.Types.Limit.map_\u03c0_apply'", "CategoryTheory.Limits.Types.Limit.w_apply", "CategoryTheory.Limits.Types.Limit.w_apply'", "CategoryTheory.Limits.Types.Pushout.Rel'.symm", "CategoryTheory.Limits.Types.Pushout.condition", "CategoryTheory.Limits.Types.Pushout.equivalence_rel'", "CategoryTheory.Limits.Types.Pushout.inl_eq_inr_iff", "CategoryTheory.Limits.Types.Pushout.inl_rel'_inl_iff", "CategoryTheory.Limits.Types.Pushout.inl_rel'_inr_iff", "CategoryTheory.Limits.Types.Pushout.inr_rel'_inr_iff", "CategoryTheory.Limits.Types.Pushout.quot_mk_eq_iff", "CategoryTheory.Limits.Types.Quot.desc_colimitCocone", "CategoryTheory.Limits.Types.Quot.desc_toCocone_desc", "CategoryTheory.Limits.Types.Quot.jointly_surjective", "CategoryTheory.Limits.Types.Quot.map_\u03b9", "CategoryTheory.Limits.Types.Small.limitCone_pt_ext", "CategoryTheory.Limits.Types.Small.productIso_hom_comp_eval_apply", "CategoryTheory.Limits.Types.Small.productIso_inv_comp_\u03c0", "CategoryTheory.Limits.Types.binaryCofan_isColimit_iff", "CategoryTheory.Limits.Types.binaryCoproductIso_inl_comp_inv", "CategoryTheory.Limits.Types.binaryCoproductIso_inr_comp_inv", "CategoryTheory.Limits.Types.binaryProductCone_fst", "CategoryTheory.Limits.Types.binaryProductCone_snd", "CategoryTheory.Limits.Types.binaryProductIso_hom_comp_fst", "CategoryTheory.Limits.Types.binaryProductIso_hom_comp_snd", "CategoryTheory.Limits.Types.binaryProductIso_inv_comp_fst", "CategoryTheory.Limits.Types.coequalizerIso_quot_comp_inv", "CategoryTheory.Limits.Types.coequalizerIso_\u03c0_comp_hom", "CategoryTheory.Limits.Types.coequalizer_preimage_image_eq_of_preimage_eq", "CategoryTheory.Limits.Types.colimitEquivQuot_apply", "CategoryTheory.Limits.Types.colimitEquivQuot_symm_apply", "CategoryTheory.Limits.Types.colimit_eq", "CategoryTheory.Limits.Types.colimit_sound", "CategoryTheory.Limits.Types.colimit_sound'", "CategoryTheory.Limits.Types.coproductIso_mk_comp_inv", "CategoryTheory.Limits.Types.coproductIso_\u03b9_comp_hom", "CategoryTheory.Limits.Types.descFun_apply_spec", "CategoryTheory.Limits.Types.descFun_spec", "CategoryTheory.Limits.Types.descSet_empty", "CategoryTheory.Limits.Types.descSet_inter_of_ne", "CategoryTheory.Limits.Types.descSet_spec", "CategoryTheory.Limits.Types.descSet_univ", "CategoryTheory.Limits.Types.equalizerIso_hom_comp_subtype", "CategoryTheory.Limits.Types.iUnion_descSet_singleton", "CategoryTheory.Limits.Types.initial_iff_empty", "CategoryTheory.Limits.Types.isColimit_iff_bijective_desc", "CategoryTheory.Limits.Types.isConnected_iff_colimit_constPUnitFunctor_iso_pUnit", "CategoryTheory.Limits.Types.isConnected_iff_isColimit_pUnitCocone", "CategoryTheory.Limits.Types.isConnected_iff_of_final", "CategoryTheory.Limits.Types.isLimitEquivSections_symm_apply", "CategoryTheory.Limits.Types.isLimit_iff", "CategoryTheory.Limits.Types.isLimit_iff_bijective_sectionOfCone", "CategoryTheory.Limits.Types.jointly_surjective", "CategoryTheory.Limits.Types.jointly_surjective'", "CategoryTheory.Limits.Types.jointly_surjective_of_isColimit", "CategoryTheory.Limits.Types.limitEquivSections_symm_apply", "CategoryTheory.Limits.Types.limit_ext", "CategoryTheory.Limits.Types.limit_ext'", "CategoryTheory.Limits.Types.limit_ext_iff'", "CategoryTheory.Limits.Types.mem_descSet_singleton", "CategoryTheory.Limits.Types.nonempty_of_nonempty_colimit", "CategoryTheory.Limits.Types.pi_lift_\u03c0_apply", "CategoryTheory.Limits.Types.pi_map_\u03c0_apply", "CategoryTheory.Limits.Types.productIso_hom_comp_eval", "CategoryTheory.Limits.Types.productIso_inv_comp_\u03c0", "CategoryTheory.Limits.Types.pullbackIsoPullback_hom_fst", "CategoryTheory.Limits.Types.pullbackIsoPullback_hom_snd", "CategoryTheory.Limits.Types.pullbackIsoPullback_inv_snd", "CategoryTheory.Limits.Types.pushoutCocone_inl_eq_inr_iff_of_isColimit", "CategoryTheory.Limits.Types.pushoutCocone_inl_eq_inr_iff_of_iso", "CategoryTheory.Limits.Types.pushoutCocone_inl_eq_inr_imp_of_iso", "CategoryTheory.Limits.Types.small_quot_of_hasColimit", "CategoryTheory.Limits.Types.type_equalizer_iff_unique", "CategoryTheory.Limits.Types.unique_of_type_equalizer", "CategoryTheory.Limits.Types.zigzag_of_eqvGen_quot_rel", "CategoryTheory.Limits.WalkingMultispan.Hom.comp_eq_comp", "CategoryTheory.Limits.WalkingPair.equivBool_apply_left", "CategoryTheory.Limits.WalkingPair.equivBool_apply_right", "CategoryTheory.Limits.WalkingPair.equivBool_symm_apply_false", "CategoryTheory.Limits.WalkingPair.equivBool_symm_apply_true", "CategoryTheory.Limits.WalkingPair.swap_apply_left", "CategoryTheory.Limits.WalkingPair.swap_symm_apply_ff", "CategoryTheory.Limits.WalkingPair.swap_symm_apply_tt", "CategoryTheory.Limits.WalkingParallelFamily.hom_id", "CategoryTheory.Limits.WalkingParallelPairHom.assoc", "CategoryTheory.Limits.WalkingParallelPairHom.id.sizeOf_spec'", "CategoryTheory.Limits.WidePullback.eq_lift_of_comp_eq", "CategoryTheory.Limits.WidePullback.hom_eq_lift", "CategoryTheory.Limits.WidePullback.hom_ext", "CategoryTheory.Limits.WidePullback.lift_base", "CategoryTheory.Limits.WidePullback.lift_\u03c0", "CategoryTheory.Limits.WidePullback.\u03c0_arrow", "CategoryTheory.Limits.WidePushout.arrow_\u03b9", "CategoryTheory.Limits.WidePushout.eq_desc_of_comp_eq", "CategoryTheory.Limits.WidePushout.head_desc", "CategoryTheory.Limits.WidePushout.hom_eq_desc", "CategoryTheory.Limits.WidePushout.hom_ext", "CategoryTheory.Limits.WidePushout.\u03b9_desc", "CategoryTheory.Limits.as_factorThruImage", "CategoryTheory.Limits.bicone_\u03b9_\u03c0_self", "CategoryTheory.Limits.biprod.add_eq_lift_id_desc", "CategoryTheory.Limits.biprod.associator_inv_natural", "CategoryTheory.Limits.biprod.associator_natural", "CategoryTheory.Limits.biprod.braid_natural", "CategoryTheory.Limits.biprod.braiding_map_braiding", "CategoryTheory.Limits.biprod.conePointUniqueUpToIso_hom", "CategoryTheory.Limits.biprod.conePointUniqueUpToIso_inv", "CategoryTheory.Limits.biprod.desc_eq", "CategoryTheory.Limits.biprod.hom_ext", "CategoryTheory.Limits.biprod.hom_ext'", "CategoryTheory.Limits.biprod.inlCokernelCofork_\u03c0", "CategoryTheory.Limits.biprod.inl_fst", "CategoryTheory.Limits.biprod.inl_map", "CategoryTheory.Limits.biprod.inl_snd", "CategoryTheory.Limits.biprod.inr_desc", "CategoryTheory.Limits.biprod.inr_fst", "CategoryTheory.Limits.biprod.inr_map", "CategoryTheory.Limits.biprod.inr_snd", "CategoryTheory.Limits.biprod.isIso_inl_iff_id_eq_fst_comp_inl", "CategoryTheory.Limits.biprod.isoProd_inv", "CategoryTheory.Limits.biprod.lift_eq", "CategoryTheory.Limits.biprod.lift_fst", "CategoryTheory.Limits.biprod.lift_mapBiprod", "CategoryTheory.Limits.biprod.lift_snd", "CategoryTheory.Limits.biprod.mapBiprod_inv_map_desc", "CategoryTheory.Limits.biprod.map_eq_map'", "CategoryTheory.Limits.biprod.map_fst", "CategoryTheory.Limits.biprod.symmetry'", "CategoryTheory.Limits.biprod.total", "CategoryTheory.Limits.biprod_isZero_iff", "CategoryTheory.Limits.biprod_isoCoprod_hom", "CategoryTheory.Limits.biproduct.bicone_\u03b9", "CategoryTheory.Limits.biproduct.bicone_\u03c0", "CategoryTheory.Limits.biproduct.components_matrix", "CategoryTheory.Limits.biproduct.conePointUniqueUpToIso_hom", "CategoryTheory.Limits.biproduct.conePointUniqueUpToIso_inv", "CategoryTheory.Limits.biproduct.desc_eq", "CategoryTheory.Limits.biproduct.fromSubtype_toSubtype", "CategoryTheory.Limits.biproduct.fromSubtype_\u03c0", "CategoryTheory.Limits.biproduct.fromSubtype_\u03c0_subtype", "CategoryTheory.Limits.biproduct.hom_ext", "CategoryTheory.Limits.biproduct.hom_ext'", "CategoryTheory.Limits.biproduct.isoCoproduct_hom", "CategoryTheory.Limits.biproduct.isoCoproduct_inv", "CategoryTheory.Limits.biproduct.isoProduct_inv", "CategoryTheory.Limits.biproduct.lift_desc", "CategoryTheory.Limits.biproduct.lift_eq", "CategoryTheory.Limits.biproduct.lift_\u03c0", "CategoryTheory.Limits.biproduct.mapBiproduct_inv_map_desc", "CategoryTheory.Limits.biproduct.map_desc", "CategoryTheory.Limits.biproduct.map_eq", "CategoryTheory.Limits.biproduct.map_eq_map'", "CategoryTheory.Limits.biproduct.map_lift_mapBiprod", "CategoryTheory.Limits.biproduct.matrix_components", "CategoryTheory.Limits.biproduct.matrix_desc", "CategoryTheory.Limits.biproduct.matrix_map", "CategoryTheory.Limits.biproduct.toSubtype_eq_desc", "CategoryTheory.Limits.biproduct.toSubtype_\u03c0", "CategoryTheory.Limits.biproduct.total", "CategoryTheory.Limits.biproduct.whiskerEquiv_hom_eq_lift", "CategoryTheory.Limits.biproduct.whiskerEquiv_inv_eq_lift", "CategoryTheory.Limits.biproduct.\u03b9_desc", "CategoryTheory.Limits.biproduct.\u03b9_fromSubtype", "CategoryTheory.Limits.biproduct.\u03b9_map", "CategoryTheory.Limits.biproduct.\u03b9_matrix", "CategoryTheory.Limits.biproduct.\u03b9_toSubtype", "CategoryTheory.Limits.biproduct.\u03b9_toSubtype_subtype", "CategoryTheory.Limits.biproduct.\u03b9_\u03c0", "CategoryTheory.Limits.biproduct.\u03b9_\u03c0_self", "CategoryTheory.Limits.biproduct.\u03c0_comp_eqToHom", "CategoryTheory.Limits.coconeOfConeLeftOp_\u03b9_app", "CategoryTheory.Limits.coconeOfIsSplitEpi_\u03c0", "CategoryTheory.Limits.coequalizer.cofork_\u03b9_app_one", "CategoryTheory.Limits.coequalizer.condition", "CategoryTheory.Limits.coequalizer.existsUnique", "CategoryTheory.Limits.coequalizer.hom_ext", "CategoryTheory.Limits.coequalizer.isoTargetOfSelf_inv", "CategoryTheory.Limits.coequalizer.\u03c0_colimMap_desc", "CategoryTheory.Limits.coequalizer.\u03c0_desc", "CategoryTheory.Limits.coequalizer.\u03c0_of_eq", "CategoryTheory.Limits.cokernel.condition", "CategoryTheory.Limits.cokernel.desc_zero", "CategoryTheory.Limits.cokernel.map_desc", "CategoryTheory.Limits.cokernel.\u03c0_desc", "CategoryTheory.Limits.cokernel.\u03c0_of_epi", "CategoryTheory.Limits.cokernelComparison_map_desc", "CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_desc", "CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_desc", "CategoryTheory.Limits.cokernelIsoOfEq_refl", "CategoryTheory.Limits.cokernelIsoOfEq_trans", "CategoryTheory.Limits.cokernelZeroIsoTarget_inv", "CategoryTheory.Limits.cokernel_map_comp_cokernelComparison", "CategoryTheory.Limits.cokernel_not_iso_of_nonzero", "CategoryTheory.Limits.colimit.cocone_x", "CategoryTheory.Limits.colimit.cocone_\u03b9", "CategoryTheory.Limits.colimit.desc_extend", "CategoryTheory.Limits.colimit.existsUnique", "CategoryTheory.Limits.colimit.hom_ext", "CategoryTheory.Limits.colimit.isColimit_desc", "CategoryTheory.Limits.colimit.isoColimitCocone_\u03b9_hom", "CategoryTheory.Limits.colimit.isoColimitCocone_\u03b9_inv", "CategoryTheory.Limits.colimit.map_desc", "CategoryTheory.Limits.colimit.map_post", "CategoryTheory.Limits.colimit.post_desc", "CategoryTheory.Limits.colimit.post_post", "CategoryTheory.Limits.colimit.pre_desc", "CategoryTheory.Limits.colimit.pre_eq", "CategoryTheory.Limits.colimit.pre_id", "CategoryTheory.Limits.colimit.pre_map", "CategoryTheory.Limits.colimit.pre_map'", "CategoryTheory.Limits.colimit.pre_post", "CategoryTheory.Limits.colimit.pre_pre", "CategoryTheory.Limits.colimit.w", "CategoryTheory.Limits.colimit.\u03b9_coconeMorphism", "CategoryTheory.Limits.colimit.\u03b9_desc", "CategoryTheory.Limits.colimit.\u03b9_map", "CategoryTheory.Limits.colimit.\u03b9_post", "CategoryTheory.Limits.colimit.\u03b9_pre", "CategoryTheory.Limits.colimitCoyonedaHomIsoLimit'_\u03c0_apply", "CategoryTheory.Limits.colimitCoyonedaHomIsoLimit_\u03c0_apply", "CategoryTheory.Limits.colimitCurrySwapCompColimIsoColimitCurryCompColim_\u03b9_\u03b9_hom", "CategoryTheory.Limits.colimitCurrySwapCompColimIsoColimitCurryCompColim_\u03b9_\u03b9_inv", "CategoryTheory.Limits.colimitFlipCompColimIsoColimitCompColim_\u03b9_\u03b9_hom", "CategoryTheory.Limits.colimitFlipCompColimIsoColimitCompColim_\u03b9_\u03b9_inv", "CategoryTheory.Limits.colimitHomIsoLimitYoneda'_hom_comp_\u03c0", "CategoryTheory.Limits.colimitHomIsoLimitYoneda'_inv_comp_\u03c0", "CategoryTheory.Limits.colimitHomIsoLimitYoneda_hom_comp_\u03c0", "CategoryTheory.Limits.colimitHomIsoLimitYoneda_inv_comp_\u03c0", "CategoryTheory.Limits.colimitIsoColimitCurryCompColim_\u03b9_hom", "CategoryTheory.Limits.colimitIsoColimitCurryCompColim_\u03b9_\u03b9_inv", "CategoryTheory.Limits.colimitLimitToLimitColimit_injective", "CategoryTheory.Limits.colimitLimitToLimitColimit_surjective", "CategoryTheory.Limits.colimitObjIsoColimitCompEvaluation_inv_colimit_map", "CategoryTheory.Limits.colimitObjIsoColimitCompEvaluation_\u03b9_app_hom", "CategoryTheory.Limits.colimitObjIsoColimitCompEvaluation_\u03b9_inv", "CategoryTheory.Limits.colimitUncurryIsoColimitCompColim_\u03b9_hom", "CategoryTheory.Limits.colimitUncurryIsoColimitCompColim_\u03b9_\u03b9_inv", "CategoryTheory.Limits.colimit_map_colimitObjIsoColimitCompEvaluation_hom", "CategoryTheory.Limits.colimit_obj_ext", "CategoryTheory.Limits.colimit_\u03b9_zero_cokernel_desc", "CategoryTheory.Limits.comp_zero", "CategoryTheory.Limits.coneOfIsSplitMono_\u03b9", "CategoryTheory.Limits.coprod.desc_comp", "CategoryTheory.Limits.coprod.desc_comp_assoc", "CategoryTheory.Limits.coprod.desc_comp_inl_comp_inr", "CategoryTheory.Limits.coprod.desc_inl_inr", "CategoryTheory.Limits.coprod.diag_comp", "CategoryTheory.Limits.coprod.hom_ext", "CategoryTheory.Limits.coprod.inl_desc", "CategoryTheory.Limits.coprod.inl_map", "CategoryTheory.Limits.coprod.inr_map", "CategoryTheory.Limits.coprod.map_comp_id", "CategoryTheory.Limits.coprod.map_comp_inl_inr_codiag", "CategoryTheory.Limits.coprod.map_desc", "CategoryTheory.Limits.coprod.map_id_comp", "CategoryTheory.Limits.coprod.map_id_id", "CategoryTheory.Limits.coprod.map_inl_inr_codiag", "CategoryTheory.Limits.coprod.map_swap", "CategoryTheory.Limits.coprod.pentagon", "CategoryTheory.Limits.coprod.symmetry", "CategoryTheory.Limits.coprod.symmetry'", "CategoryTheory.Limits.coprodComparison_inl", "CategoryTheory.Limits.coprodComparison_inv_natural", "CategoryTheory.Limits.coprodComparison_natural", "CategoryTheory.Limits.cospanCompIso_app_left", "CategoryTheory.Limits.cospanCompIso_app_right", "CategoryTheory.Limits.cospanCompIso_hom_app_left", "CategoryTheory.Limits.cospanCompIso_hom_app_one", "CategoryTheory.Limits.cospanCompIso_hom_app_right", "CategoryTheory.Limits.cospanCompIso_inv_app_left", "CategoryTheory.Limits.cospanExt_app_one", "CategoryTheory.Limits.cospanExt_app_right", "CategoryTheory.Limits.cospanExt_hom_app_left", "CategoryTheory.Limits.cospanExt_hom_app_one", "CategoryTheory.Limits.cospanExt_inv_app_left", "CategoryTheory.Limits.cospanExt_inv_app_one", "CategoryTheory.Limits.cospanExt_inv_app_right", "CategoryTheory.Limits.cospan_left", "CategoryTheory.Limits.cospan_map_inl", "CategoryTheory.Limits.cospan_map_inr", "CategoryTheory.Limits.cospan_one", "CategoryTheory.Limits.cospan_right", "CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda'_hom_comp_\u03c0", "CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda'_inv_comp_\u03c0", "CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda_hom_comp_\u03c0", "CategoryTheory.Limits.coyonedaOpColimitIsoLimitCoyoneda_inv_comp_\u03c0", "CategoryTheory.Limits.desc_op_comp_opCoproductIsoProduct'_hom", "CategoryTheory.Limits.desc_op_comp_opCoproductIsoProduct_hom", "CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_snd", "CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst", "CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_snd", "CategoryTheory.Limits.epi_image_of_epi", "CategoryTheory.Limits.epi_of_isColimit_cofork", "CategoryTheory.Limits.epi_of_target_iso_zero", "CategoryTheory.Limits.eq_of_epi_equalizer", "CategoryTheory.Limits.eq_of_mono_cofork_\u03c0", "CategoryTheory.Limits.eq_zero_of_epi_kernel", "CategoryTheory.Limits.eq_zero_of_image_eq_zero", "CategoryTheory.Limits.eq_zero_of_mono_cokernel", "CategoryTheory.Limits.equalizer.existsUnique", "CategoryTheory.Limits.equalizer.hom_ext", "CategoryTheory.Limits.equalizer.lift_\u03b9", "CategoryTheory.Limits.equalizer.\u03b9_of_eq", "CategoryTheory.Limits.equalizerSubobject_arrow", "CategoryTheory.Limits.equalizerSubobject_arrow_comp", "CategoryTheory.Limits.equalizerSubobject_factors", "CategoryTheory.Limits.equalizerSubobject_factors_iff", "CategoryTheory.Limits.equalizer_as_kernel", "CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow", "CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIso", "CategoryTheory.Limits.fan_mk_proj", "CategoryTheory.Limits.fst_eq_snd_of_mono_eq", "CategoryTheory.Limits.fst_of_isColimit", "CategoryTheory.Limits.hasBinaryProducts_of_hasLimit_pair", "CategoryTheory.Limits.hasBiproduct_of_total", "CategoryTheory.Limits.hasBiproductsOfShape_of_equiv", "CategoryTheory.Limits.hasCoequalizer_epi_comp", "CategoryTheory.Limits.hasCoequalizer_of_common_section", "CategoryTheory.Limits.hasCoequalizers_of_hasColimit_parallelPair", "CategoryTheory.Limits.hasCoequalizers_of_hasPushouts_and_binary_coproducts", "CategoryTheory.Limits.hasColimitOfIso", "CategoryTheory.Limits.hasColimit_of_closedUnderColimits", "CategoryTheory.Limits.hasColimit_of_equivalence_comp", "CategoryTheory.Limits.hasColimit_of_hasLimit_leftOp", "CategoryTheory.Limits.hasColimit_span_of_hasColimit_pair_of_hasColimit_parallelPair", "CategoryTheory.Limits.hasColimitsOfShape_iff_isRightAdjoint_const", "CategoryTheory.Limits.hasColimitsOfShape_of_closedUnderColimits", "CategoryTheory.Limits.hasColimitsOfShape_of_equivalence", "CategoryTheory.Limits.hasColimitsOfShape_of_essentiallySmall", "CategoryTheory.Limits.hasColimitsOfSizeShrink", "CategoryTheory.Limits.hasCoproduct_of_equiv_of_iso", "CategoryTheory.Limits.hasCoproductsOfShape_of_opposite", "CategoryTheory.Limits.hasCoproducts_of_finite_and_filtered", "CategoryTheory.Limits.hasCoproducts_of_opposite", "CategoryTheory.Limits.hasEqualizer_comp_mono", "CategoryTheory.Limits.hasEqualizer_of_common_retraction", "CategoryTheory.Limits.hasEqualizers_of_hasPullbacks_and_binary_products", "CategoryTheory.Limits.hasFiniteColimits_of_hasCoequalizers_and_finite_coproducts", "CategoryTheory.Limits.hasFiniteColimits_of_hasColimitsOfSize", "CategoryTheory.Limits.hasFiniteColimits_of_hasFiniteColimits_of_size", "CategoryTheory.Limits.hasFiniteCoproducts_of_hasCoproducts", "CategoryTheory.Limits.hasFiniteCoproducts_of_opposite", "CategoryTheory.Limits.hasFiniteLimits_of_hasFiniteLimits_of_size", "CategoryTheory.Limits.hasFiniteLimits_of_hasTerminal_and_pullbacks", "CategoryTheory.Limits.hasFiniteWidePullbacks_of_hasFiniteLimits", "CategoryTheory.Limits.hasFiniteWidePushouts_of_has_finite_limits", "CategoryTheory.Limits.hasInitialChangeUniverse", "CategoryTheory.Limits.hasInitial_of_hasInitial_of_preservesColimit", "CategoryTheory.Limits.hasInitial_of_unique", "CategoryTheory.Limits.hasLimitOfEquivalenceComp", "CategoryTheory.Limits.hasLimitOfIso", "CategoryTheory.Limits.hasLimit_cospan_of_hasLimit_pair_of_hasLimit_parallelPair", "CategoryTheory.Limits.hasLimit_iff_hasTerminal_cone", "CategoryTheory.Limits.hasLimit_of_closedUnderLimits", "CategoryTheory.Limits.hasLimit_of_hasColimit_leftOp", "CategoryTheory.Limits.hasLimit_of_hasColimit_op", "CategoryTheory.Limits.hasLimit_op_of_hasColimit", "CategoryTheory.Limits.hasLimitsOfShape_of_essentiallySmall", "CategoryTheory.Limits.hasLimitsOfShape_of_hasColimitsOfShape_op", "CategoryTheory.Limits.hasLimitsOfShape_op_of_hasColimitsOfShape", "CategoryTheory.Limits.hasLimitsOfSizeOfUnivLE", "CategoryTheory.Limits.hasLimitsOfSizeShrink", "CategoryTheory.Limits.hasProduct_of_equiv_of_iso", "CategoryTheory.Limits.hasProductsOfShape_of_small", "CategoryTheory.Limits.hasProducts_of_finite_and_cofiltered", "CategoryTheory.Limits.hasProducts_of_opposite", "CategoryTheory.Limits.hasPullback_assoc", "CategoryTheory.Limits.hasPullback_assoc_symm", "CategoryTheory.Limits.hasPullback_of_left_iso", "CategoryTheory.Limits.hasPullback_of_preservesPullback", "CategoryTheory.Limits.hasPullback_of_right_iso", "CategoryTheory.Limits.hasPullback_symmetry", "CategoryTheory.Limits.hasPullbacks_of_hasLimit_cospan", "CategoryTheory.Limits.hasPushout_assoc", "CategoryTheory.Limits.hasPushout_assoc_symm", "CategoryTheory.Limits.hasPushout_of_left_iso", "CategoryTheory.Limits.hasPushout_of_preservesPushout", "CategoryTheory.Limits.hasPushout_of_right_iso", "CategoryTheory.Limits.hasPushouts_of_hasBinaryCoproducts_of_hasCoequalizers", "CategoryTheory.Limits.hasPushouts_of_hasColimit_span", "CategoryTheory.Limits.hasStrictInitialObjects_of_initial_is_strict", "CategoryTheory.Limits.hasStrictTerminalObjects_of_terminal_is_strict", "CategoryTheory.Limits.hasTerminalChangeDiagram", "CategoryTheory.Limits.hasTerminalChangeUniverse", "CategoryTheory.Limits.hasTerminal_of_hasInitial_op", "CategoryTheory.Limits.hasTerminal_of_hasTerminal_of_preservesLimit", "CategoryTheory.Limits.hasWideCoequalizers_of_hasColimit_parallelFamily", "CategoryTheory.Limits.hasWidePullbacks_shrink", "CategoryTheory.Limits.hasZeroObject_of_hasInitial_object", "CategoryTheory.Limits.hasZeroObject_of_hasTerminal_object", "CategoryTheory.Limits.hasZeroObject_unop", "CategoryTheory.Limits.has_cofiltered_limits_of_has_filtered_colimits_op", "CategoryTheory.Limits.has_colimits_of_finite_and_filtered", "CategoryTheory.Limits.has_colimits_of_hasCoequalizers_and_coproducts", "CategoryTheory.Limits.has_filtered_colimits_of_has_cofiltered_limits_op", "CategoryTheory.Limits.has_limits_of_hasEqualizers_and_products", "CategoryTheory.Limits.has_smallest_products_of_hasProducts", "CategoryTheory.Limits.idZeroEquivIsoZero_apply_hom", "CategoryTheory.Limits.idZeroEquivIsoZero_apply_inv", "CategoryTheory.Limits.id_zero", "CategoryTheory.Limits.image.as_\u03b9", "CategoryTheory.Limits.image.compIso_hom_comp_image_\u03b9", "CategoryTheory.Limits.image.compIso_inv_comp_image_\u03b9", "CategoryTheory.Limits.image.eq_fac", "CategoryTheory.Limits.image.ext", "CategoryTheory.Limits.image.fac", "CategoryTheory.Limits.image.fac_lift", "CategoryTheory.Limits.image.factorThruImage_preComp", "CategoryTheory.Limits.image.factor_map", "CategoryTheory.Limits.image.isImage_lift", "CategoryTheory.Limits.image.isoStrongEpiMono_inv_comp_mono", "CategoryTheory.Limits.image.lift_fac", "CategoryTheory.Limits.image.map_homMk'_\u03b9", "CategoryTheory.Limits.image.map_\u03b9", "CategoryTheory.Limits.image.preComp_comp", "CategoryTheory.Limits.image.preComp_\u03b9", "CategoryTheory.Limits.imageMonoIsoSource_hom_self", "CategoryTheory.Limits.imageMonoIsoSource_inv_\u03b9", "CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow", "CategoryTheory.Limits.imageSubobjectCompIso_inv_arrow", "CategoryTheory.Limits.imageSubobjectIso_comp_image_map", "CategoryTheory.Limits.imageSubobjectMap_arrow", "CategoryTheory.Limits.imageSubobject_arrow", "CategoryTheory.Limits.imageSubobject_arrow'", "CategoryTheory.Limits.imageSubobject_arrow_comp", "CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zero", "CategoryTheory.Limits.imageSubobject_factors_comp_self", "CategoryTheory.Limits.imageSubobject_iso_comp", "CategoryTheory.Limits.imageSubobject_le", "CategoryTheory.Limits.imageSubobject_le_mk", "CategoryTheory.Limits.imageSubobject_mono", "CategoryTheory.Limits.imageSubobject_zero_arrow", "CategoryTheory.Limits.initial.hom_ext", "CategoryTheory.Limits.initial.strict_hom_ext", "CategoryTheory.Limits.initial.subsingleton_to", "CategoryTheory.Limits.initial.to_comp", "CategoryTheory.Limits.initialMonoClass_of_disjoint_coproducts", "CategoryTheory.Limits.initialMul_inv", "CategoryTheory.Limits.inl_comp_pushoutComparison", "CategoryTheory.Limits.inl_comp_pushoutSymmetry_hom", "CategoryTheory.Limits.inl_comp_pushoutSymmetry_inv", "CategoryTheory.Limits.inl_inl_pushoutAssoc_hom", "CategoryTheory.Limits.inl_inl_pushoutLeftPushoutInrIso_hom", "CategoryTheory.Limits.inl_inr_pushoutAssoc_inv", "CategoryTheory.Limits.inl_of_isLimit", "CategoryTheory.Limits.inl_pushoutAssoc_inv", "CategoryTheory.Limits.inl_pushoutLeftPushoutInrIso_inv", "CategoryTheory.Limits.inl_pushoutZeroZeroIso_inv", "CategoryTheory.Limits.inr_comp_pushoutComparison", "CategoryTheory.Limits.inr_comp_pushoutSymmetry_inv", "CategoryTheory.Limits.inr_inl_pushoutAssoc_hom", "CategoryTheory.Limits.inr_inl_pushoutLeftPushoutInrIso_hom", "CategoryTheory.Limits.inr_inr_pushoutAssoc_inv", "CategoryTheory.Limits.inr_of_isLimit", "CategoryTheory.Limits.inr_pushoutAssoc_hom", "CategoryTheory.Limits.inr_pushoutLeftPushoutInrIso_hom", "CategoryTheory.Limits.inr_pushoutLeftPushoutInrIso_inv", "CategoryTheory.Limits.inr_pushoutZeroZeroIso_inv", "CategoryTheory.Limits.inv_prodComparison_map_fst", "CategoryTheory.Limits.inv_prodComparison_map_snd", "CategoryTheory.Limits.isCokernelEpiComp_desc", "CategoryTheory.Limits.isIndObject_iff", "CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmall", "CategoryTheory.Limits.isIndObject_yoneda", "CategoryTheory.Limits.isInitialMul_inv", "CategoryTheory.Limits.isIso_colimit_cocone_parallelPair_of_self", "CategoryTheory.Limits.isIso_limit_cocone_parallelPair_of_epi", "CategoryTheory.Limits.isIso_limit_cone_parallelPair_of_eq", "CategoryTheory.Limits.isIso_limit_cone_parallelPair_of_self", "CategoryTheory.Limits.isIso_of_source_target_iso_zero", "CategoryTheory.Limits.isIso_\u03b9_of_isInitial", "CategoryTheory.Limits.isIso_\u03b9_of_isTerminal", "CategoryTheory.Limits.isKernelCompMono_lift", "CategoryTheory.Limits.isZero_zero", "CategoryTheory.Limits.kernel.condition", "CategoryTheory.Limits.kernel.lift_\u03b9", "CategoryTheory.Limits.kernel.\u03b9_of_mono", "CategoryTheory.Limits.kernel.\u03b9_of_zero", "CategoryTheory.Limits.kernelComparison_comp_kernel_map", "CategoryTheory.Limits.kernelComparison_comp_\u03b9", "CategoryTheory.Limits.kernelIsoOfEq_hom_comp_\u03b9", "CategoryTheory.Limits.kernelIsoOfEq_refl", "CategoryTheory.Limits.kernelIsoOfEq_trans", "CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow", "CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow", "CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_map", "CategoryTheory.Limits.kernelSubobjectMap_comp", "CategoryTheory.Limits.kernelSubobject_arrow", "CategoryTheory.Limits.kernelSubobject_arrow'", "CategoryTheory.Limits.kernelSubobject_arrow_comp", "CategoryTheory.Limits.kernelSubobject_comp_mono", "CategoryTheory.Limits.kernelSubobject_factors", "CategoryTheory.Limits.kernelSubobject_factors_iff", "CategoryTheory.Limits.kernelSubobject_zero", "CategoryTheory.Limits.kernelZeroIsoSource_hom", "CategoryTheory.Limits.kernelZeroIsoSource_inv", "CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv", "CategoryTheory.Limits.kernel_map_comp_preserves_kernel_iso_inv", "CategoryTheory.Limits.kernel_not_epi_of_nonzero", "CategoryTheory.Limits.kernel_not_iso_of_nonzero", "CategoryTheory.Limits.le_kernelSubobject", "CategoryTheory.Limits.lift_comp_kernelIsoOfEq_hom", "CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv", "CategoryTheory.Limits.limLax_map", "CategoryTheory.Limits.limLax_obj", "CategoryTheory.Limits.limLax_\u03b5", "CategoryTheory.Limits.limLax_\u03bc", "CategoryTheory.Limits.limMap_\u03c0", "CategoryTheory.Limits.limit.coneMorphism_hom", "CategoryTheory.Limits.limit.conePointUniqueUpToIso_hom_comp", "CategoryTheory.Limits.limit.existsUnique", "CategoryTheory.Limits.limit.homIso_hom", "CategoryTheory.Limits.limit.hom_ext", "CategoryTheory.Limits.limit.isLimit_lift", "CategoryTheory.Limits.limit.isoLimitCone_hom_\u03c0", "CategoryTheory.Limits.limit.isoLimitCone_inv_\u03c0", "CategoryTheory.Limits.limit.lift_map", "CategoryTheory.Limits.limit.lift_post", "CategoryTheory.Limits.limit.lift_pre", "CategoryTheory.Limits.limit.lift_\u03c0", "CategoryTheory.Limits.limit.lift_\u03c0_app", "CategoryTheory.Limits.limit.map_post", "CategoryTheory.Limits.limit.map_pre", "CategoryTheory.Limits.limit.map_pre'", "CategoryTheory.Limits.limit.post_post", "CategoryTheory.Limits.limit.post_\u03c0", "CategoryTheory.Limits.limit.pre_post", "CategoryTheory.Limits.limit.pre_pre", "CategoryTheory.Limits.limit.pre_\u03c0", "CategoryTheory.Limits.limit.w", "CategoryTheory.Limits.limitCurrySwapCompLimIsoLimitCurryCompLim_hom_\u03c0_\u03c0", "CategoryTheory.Limits.limitCurrySwapCompLimIsoLimitCurryCompLim_inv_\u03c0_\u03c0", "CategoryTheory.Limits.limitFlipCompLimIsoLimitCompLim_hom_\u03c0_\u03c0", "CategoryTheory.Limits.limitFlipCompLimIsoLimitCompLim_inv_\u03c0_\u03c0", "CategoryTheory.Limits.limitFunctorial_map", "CategoryTheory.Limits.limitIsoLimitCurryCompLim_hom_\u03c0_\u03c0", "CategoryTheory.Limits.limitIsoLimitCurryCompLim_inv_\u03c0", "CategoryTheory.Limits.limitObjIsoLimitCompEvaluation_hom_\u03c0", "CategoryTheory.Limits.limitObjIsoLimitCompEvaluation_inv_limit_map", "CategoryTheory.Limits.limitObjIsoLimitCompEvaluation_inv_\u03c0_app", "CategoryTheory.Limits.limitOpIsoOpColimit_hom_comp_\u03b9", "CategoryTheory.Limits.limitOpIsoOpColimit_inv_comp_\u03c0", "CategoryTheory.Limits.limitRightOpIsoOpColimit_hom_comp_\u03b9", "CategoryTheory.Limits.limitUncurryIsoLimitCompLim_hom_\u03c0_\u03c0", "CategoryTheory.Limits.limitUncurryIsoLimitCompLim_inv_\u03c0", "CategoryTheory.Limits.limit_obj_ext", "CategoryTheory.Limits.limit_\u03c0_isIso_of_is_strict_terminal", "CategoryTheory.Limits.mapPair_left", "CategoryTheory.Limits.map_id_left_eq_curry_map", "CategoryTheory.Limits.map_id_right_eq_curry_swap_map", "CategoryTheory.Limits.map_inr_inv_coprodComparison", "CategoryTheory.Limits.map_lift_equalizerComparison", "CategoryTheory.Limits.map_lift_kernelComparison", "CategoryTheory.Limits.map_lift_piComparison", "CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv", "CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_colimMap", "CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_colimMap_desc", "CategoryTheory.Limits.map_\u03c0_preserves_coequalizer_inv_desc", "CategoryTheory.Limits.mono_of_isLimit_fork", "CategoryTheory.Limits.mono_of_isLimit_parallelFamily", "CategoryTheory.Limits.mono_of_source_iso_zero", "CategoryTheory.Limits.mulInitial_inv", "CategoryTheory.Limits.nonzero_image_of_nonzero", "CategoryTheory.Limits.opCoproductIsoProduct'_comp_self", "CategoryTheory.Limits.opCoproductIsoProduct'_inv_comp_inj", "CategoryTheory.Limits.opProductIsoCoproduct'_comp_self", "CategoryTheory.Limits.opProductIsoCoproduct'_inv_comp_lift", "CategoryTheory.Limits.opProductIsoCoproduct_inv_comp_lift", "CategoryTheory.Limits.pairFunction_left", "CategoryTheory.Limits.pairFunction_right", "CategoryTheory.Limits.pair_obj_left", "CategoryTheory.Limits.pair_obj_right", "CategoryTheory.Limits.parallelFamily_obj_zero", "CategoryTheory.Limits.parallelPairHom_app_one", "CategoryTheory.Limits.parallelPairHom_app_zero", "CategoryTheory.Limits.parallelPair_functor_obj", "CategoryTheory.Limits.parallelPair_initial_mk", "CategoryTheory.Limits.parallelPair_initial_mk'", "CategoryTheory.Limits.parallelPair_map_left", "CategoryTheory.Limits.parallelPair_obj_zero", "CategoryTheory.Limits.preserves_cokernel_iso_comp_cokernel_map", "CategoryTheory.Limits.prod.associator_naturality", "CategoryTheory.Limits.prod.comp_diag", "CategoryTheory.Limits.prod.comp_lift", "CategoryTheory.Limits.prod.diag_map", "CategoryTheory.Limits.prod.diag_map_fst_snd", "CategoryTheory.Limits.prod.diag_map_fst_snd_comp", "CategoryTheory.Limits.prod.hom_ext", "CategoryTheory.Limits.prod.leftUnitor_hom_naturality", "CategoryTheory.Limits.prod.leftUnitor_inv_naturality", "CategoryTheory.Limits.prod.lift_fst", "CategoryTheory.Limits.prod.lift_fst_comp_snd_comp", "CategoryTheory.Limits.prod.lift_fst_snd", "CategoryTheory.Limits.prod.lift_map", "CategoryTheory.Limits.prod.lift_snd", "CategoryTheory.Limits.prod.map_comp_id", "CategoryTheory.Limits.prod.map_fst", "CategoryTheory.Limits.prod.map_id_comp", "CategoryTheory.Limits.prod.map_map", "CategoryTheory.Limits.prod.map_snd", "CategoryTheory.Limits.prod.map_swap", "CategoryTheory.Limits.prod.pentagon", "CategoryTheory.Limits.prod.symmetry", "CategoryTheory.Limits.prod.symmetry'", "CategoryTheory.Limits.prod.triangle", "CategoryTheory.Limits.prodComparison_fst", "CategoryTheory.Limits.prodComparison_inv_natural", "CategoryTheory.Limits.prodComparison_natural", "CategoryTheory.Limits.prodComparison_snd", "CategoryTheory.Limits.prodZeroIso_hom", "CategoryTheory.Limits.prodZeroIso_iso_inv_snd", "CategoryTheory.Limits.prod_rightUnitor_inv_naturality", "CategoryTheory.Limits.pullback.condition", "CategoryTheory.Limits.pullback.congrHom_inv", "CategoryTheory.Limits.pullback.diagonal_comp", "CategoryTheory.Limits.pullback.diagonal_fst", "CategoryTheory.Limits.pullback.diagonal_isKernelPair", "CategoryTheory.Limits.pullback.diagonal_snd", "CategoryTheory.Limits.pullback.hom_ext", "CategoryTheory.Limits.pullback.lift_fst", "CategoryTheory.Limits.pullback.lift_snd", "CategoryTheory.Limits.pullbackAssoc_hom_fst", "CategoryTheory.Limits.pullbackAssoc_hom_snd_fst", "CategoryTheory.Limits.pullbackAssoc_hom_snd_snd", "CategoryTheory.Limits.pullbackAssoc_inv_fst_fst", "CategoryTheory.Limits.pullbackAssoc_inv_fst_snd", "CategoryTheory.Limits.pullbackAssoc_inv_snd", "CategoryTheory.Limits.pullbackComparison_comp_fst", "CategoryTheory.Limits.pullbackConeOfLeftIso_x", "CategoryTheory.Limits.pullbackConeOfLeftIso_\u03c0_app_left", "CategoryTheory.Limits.pullbackConeOfLeftIso_\u03c0_app_none", "CategoryTheory.Limits.pullbackConeOfLeftIso_\u03c0_app_right", "CategoryTheory.Limits.pullbackConeOfRightIso_snd", "CategoryTheory.Limits.pullbackConeOfRightIso_x", "CategoryTheory.Limits.pullbackConeOfRightIso_\u03c0_app_none", "CategoryTheory.Limits.pullbackConeOfRightIso_\u03c0_app_right", "CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst", "CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_fst", "CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst", "CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd", "CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst", "CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd", "CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst", "CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd", "CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inl", "CategoryTheory.Limits.pullbackIsoUnopPushout_hom_inr", "CategoryTheory.Limits.pullbackIsoUnopPushout_inv_fst", "CategoryTheory.Limits.pullbackIsoUnopPushout_inv_snd", "CategoryTheory.Limits.pullbackRightPullbackFstIso_inv_fst", "CategoryTheory.Limits.pullbackRightPullbackFstIso_inv_snd_fst", "CategoryTheory.Limits.pullbackRightPullbackFstIso_inv_snd_snd", "CategoryTheory.Limits.pullbackSymmetry_hom_comp_fst", "CategoryTheory.Limits.pullbackSymmetry_hom_comp_snd", "CategoryTheory.Limits.pullbackSymmetry_hom_of_mono_eq", "CategoryTheory.Limits.pullbackSymmetry_inv_comp_fst", "CategoryTheory.Limits.pullbackSymmetry_inv_comp_snd", "CategoryTheory.Limits.pullbackZeroZeroIso_hom_fst", "CategoryTheory.Limits.pullbackZeroZeroIso_hom_snd", "CategoryTheory.Limits.pullbackZeroZeroIso_inv_fst", "CategoryTheory.Limits.pullbackZeroZeroIso_inv_snd", "CategoryTheory.Limits.pullback_diagonal_map_snd_fst_fst", "CategoryTheory.Limits.pullback_diagonal_map_snd_snd_fst", "CategoryTheory.Limits.pullback_fst_map_snd_isPullback", "CategoryTheory.Limits.pullback_map_diagonal_isPullback", "CategoryTheory.Limits.pullback_map_eq_pullbackFstFstIso_inv", "CategoryTheory.Limits.pullback_symmetry_hom_of_epi_eq", "CategoryTheory.Limits.pushout.condition", "CategoryTheory.Limits.pushout.congrHom_inv", "CategoryTheory.Limits.pushout.inr_desc", "CategoryTheory.Limits.pushout.mapLift_comp", "CategoryTheory.Limits.pushoutCoconeOfLeftIso_inl", "CategoryTheory.Limits.pushoutCoconeOfLeftIso_\u03b9_app_left", "CategoryTheory.Limits.pushoutCoconeOfRightIso_inl", "CategoryTheory.Limits.pushoutCoconeOfRightIso_inr", "CategoryTheory.Limits.pushoutCoconeOfRightIso_x", "CategoryTheory.Limits.pushoutCoconeOfRightIso_\u03b9_app_none", "CategoryTheory.Limits.pushoutCoconeOfRightIso_\u03b9_app_right", "CategoryTheory.Limits.pushoutComparison_map_desc", "CategoryTheory.Limits.pushoutIsoUnopPullback_inl_hom", "CategoryTheory.Limits.pushoutIsoUnopPullback_inv_fst", "CategoryTheory.Limits.pushoutIsoUnopPullback_inv_snd", "CategoryTheory.Limits.sequentialFunctor_initial_aux", "CategoryTheory.Limits.sigmaComparison_map_desc", "CategoryTheory.Limits.snd_of_isColimit", "CategoryTheory.Limits.spanCompIso_app_zero", "CategoryTheory.Limits.spanCompIso_hom_app_right", "CategoryTheory.Limits.spanCompIso_hom_app_zero", "CategoryTheory.Limits.spanCompIso_inv_app_left", "CategoryTheory.Limits.spanCompIso_inv_app_zero", "CategoryTheory.Limits.spanExt_hom_app_left", "CategoryTheory.Limits.spanExt_hom_app_right", "CategoryTheory.Limits.spanExt_hom_app_zero", "CategoryTheory.Limits.spanExt_inv_app_zero", "CategoryTheory.Limits.span_left", "CategoryTheory.Limits.span_map_fst", "CategoryTheory.Limits.span_map_id", "CategoryTheory.Limits.span_right", "CategoryTheory.Limits.span_zero", "CategoryTheory.Limits.strongEpi_factorThruImage_of_strongEpiMonoFactorisation", "CategoryTheory.Limits.strongEpi_of_strongEpiMonoFactorisation", "CategoryTheory.Limits.terminal.comp_from", "CategoryTheory.Limits.terminal.hom_ext", "CategoryTheory.Limits.terminal.strict_hom_ext", "CategoryTheory.Limits.terminal.subsingleton_to", "CategoryTheory.Limits.unop_zero", "CategoryTheory.Limits.walkingParallelPairHom_id", "CategoryTheory.Limits.walkingParallelPairOpEquiv_counitIso_zero", "CategoryTheory.Limits.walkingParallelPairOpEquiv_unitIso_one", "CategoryTheory.Limits.walkingParallelPairOpEquiv_unitIso_zero", "CategoryTheory.Limits.walkingParallelPairOp_left", "CategoryTheory.Limits.walkingParallelPairOp_right", "CategoryTheory.Limits.walkingParallelPairOp_zero", "CategoryTheory.Limits.wideCoequalizer.condition", "CategoryTheory.Limits.wideCoequalizer.cotrident_\u03c0", "CategoryTheory.Limits.wideCoequalizer.\u03c0_desc", "CategoryTheory.Limits.wideEqualizer.condition", "CategoryTheory.Limits.wideEqualizer.hom_ext", "CategoryTheory.Limits.wideEqualizer.lift_\u03b9", "CategoryTheory.Limits.wideEqualizer.trident_\u03b9", "CategoryTheory.Limits.zeroCoprodIso_inv", "CategoryTheory.Limits.zeroProdIso_hom", "CategoryTheory.Limits.zero_app", "CategoryTheory.Limits.zero_comp", "CategoryTheory.Limits.zero_of_comp_mono", "CategoryTheory.Limits.zero_of_epi_comp", "CategoryTheory.Limits.zero_of_from_zero", "CategoryTheory.Limits.zero_of_source_iso_zero", "CategoryTheory.Limits.zero_of_target_iso_zero", "CategoryTheory.Limits.zero_of_target_iso_zero'", "CategoryTheory.Limits.zero_of_to_zero", "CategoryTheory.Limits.\u03b9_colimMap", "CategoryTheory.Limits.\u03b9_colimitLimitIso_limit_\u03c0", "CategoryTheory.Limits.\u03b9_colimitLimitToLimitColimit_\u03c0", "CategoryTheory.Limits.\u03b9_colimitLimitToLimitColimit_\u03c0_apply", "CategoryTheory.Limits.\u03b9_comp_coequalizerComparison", "CategoryTheory.Limits.\u03b9_comp_sigmaComparison", "CategoryTheory.Limits.\u03c0_comp_cokernelIsoOfEq_hom", "CategoryTheory.Limits.\u03c0_comp_cokernelIsoOfEq_inv", "CategoryTheory.Limits.\u03c0_comp_opProductIsoCoproduct_hom", "CategoryTheory.Linear.comp_units_smul", "CategoryTheory.Linear.units_smul_comp", "CategoryTheory.Localization.Construction.NatTransExtension.app_eq", "CategoryTheory.Localization.Construction.fac", "CategoryTheory.Localization.Construction.morphismProperty_is_top", "CategoryTheory.Localization.Construction.morphismProperty_is_top'", "CategoryTheory.Localization.Construction.natTransExtension_hcomp", "CategoryTheory.Localization.Construction.natTrans_hcomp_injective", "CategoryTheory.Localization.Construction.prodIsLocalization", "CategoryTheory.Localization.Construction.uniq", "CategoryTheory.Localization.HasProductsOfShapeAux.adj_counit_app", "CategoryTheory.Localization.HasProductsOfShapeAux.inverts", "CategoryTheory.Localization.LeftBousfield.W_adj_unit_app", "CategoryTheory.Localization.LeftBousfield.W_iff_isIso", "CategoryTheory.Localization.LeftBousfield.W_iff_isIso_map", "CategoryTheory.Localization.LeftBousfield.W_isoClosure", "CategoryTheory.Localization.LeftBousfield.W_of_isIso", "CategoryTheory.Localization.Preadditive.add'_assoc", "CategoryTheory.Localization.Preadditive.add'_comp", "CategoryTheory.Localization.Preadditive.add'_eq", "CategoryTheory.Localization.Preadditive.add'_left_neg'", "CategoryTheory.Localization.Preadditive.add'_zero", "CategoryTheory.Localization.Preadditive.add_comp", "CategoryTheory.Localization.Preadditive.add_eq", "CategoryTheory.Localization.Preadditive.add_eq_add", "CategoryTheory.Localization.Preadditive.comp_add", "CategoryTheory.Localization.Preadditive.comp_add'", "CategoryTheory.Localization.Preadditive.map_add", "CategoryTheory.Localization.Preadditive.neg'_eq", "CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_fac", "CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prod_fac\u2082", "CategoryTheory.Localization.comp_liftNatTrans", "CategoryTheory.Localization.equivalence_counitIso_app", "CategoryTheory.Localization.essSurj", "CategoryTheory.Localization.essSurj_mapArrow", "CategoryTheory.Localization.essSurj_mapArrow_of_hasRightCalculusOfFractions", "CategoryTheory.Localization.essSurj_mapComposableArrows", "CategoryTheory.Localization.essSurj_mapComposableArrows_of_hasRightCalculusOfFractions", "CategoryTheory.Localization.exists_leftFraction", "CategoryTheory.Localization.exists_leftFraction\u2082", "CategoryTheory.Localization.exists_leftFraction\u2083", "CategoryTheory.Localization.exists_rightFraction", "CategoryTheory.Localization.faithful_whiskeringLeft", "CategoryTheory.Localization.full_whiskeringLeft", "CategoryTheory.Localization.functor_additive_iff", "CategoryTheory.Localization.hasFiniteProducts", "CategoryTheory.Localization.hasProductsOfShape", "CategoryTheory.Localization.homEquiv_eq", "CategoryTheory.Localization.homEquiv_isoOfHom_inv", "CategoryTheory.Localization.homEquiv_map", "CategoryTheory.Localization.homEquiv_symm_apply", "CategoryTheory.Localization.homEquiv_trans", "CategoryTheory.Localization.inverts", "CategoryTheory.Localization.isEquivalence", "CategoryTheory.Localization.isoOfHom_id_inv", "CategoryTheory.Localization.liftNatTrans_app", "CategoryTheory.Localization.liftNatTrans_id", "CategoryTheory.Localization.natTrans_ext", "CategoryTheory.Localization.whiskeringLeftFunctor'_obj", "CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.mk'", "CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.of_equivalence", "CategoryTheory.LocalizerMorphism.IsLocalizedEquivalence.of_isLocalization_of_isLocalization", "CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.Constructor.isConnected", "CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.mk'", "CategoryTheory.LocalizerMorphism.LeftResolution.hom_ext", "CategoryTheory.LocalizerMorphism.LeftResolution.id_f", "CategoryTheory.LocalizerMorphism.RightResolution.hom_ext", "CategoryTheory.LocalizerMorphism.RightResolution.id_f", "CategoryTheory.LocalizerMorphism.RightResolution.mk_surjective", "CategoryTheory.LocalizerMorphism.essSurj_of_hasLeftResolutions", "CategoryTheory.LocalizerMorphism.essSurj_of_hasRightResolutions", "CategoryTheory.LocalizerMorphism.guitartExact_of_isRightDerivabilityStructure", "CategoryTheory.LocalizerMorphism.hasLeftResolutions_iff_op", "CategoryTheory.LocalizerMorphism.homMap_apply", "CategoryTheory.LocalizerMorphism.homMap_comp", "CategoryTheory.LocalizerMorphism.homMap_homMap", "CategoryTheory.LocalizerMorphism.homMap_id", "CategoryTheory.LocalizerMorphism.id_homMap", "CategoryTheory.LocalizerMorphism.inverts", "CategoryTheory.LocalizerMorphism.isEquivalence_imp", "CategoryTheory.LocalizerMorphism.isIso_iff_of_hasLeftResolutions", "CategoryTheory.LocalizerMorphism.isIso_iff_of_hasRightResolutions", "CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iff", "CategoryTheory.LocalizerMorphism.nonempty_rightResolution_iff_op", "CategoryTheory.LocallyCoverDense.inducedTopology_coverPreserving", "CategoryTheory.LocallyCoverDense.inducedTopology_isCocontinuous", "CategoryTheory.LocallyDiscrete.comp_as", "CategoryTheory.LocallyDiscrete.eqToHom_toLoc", "CategoryTheory.LocallyDiscrete.eq_of_hom", "CategoryTheory.LocallyDiscrete.id_as", "CategoryTheory.LocallyDiscrete.mk_as", "CategoryTheory.Mat.add_apply", "CategoryTheory.Mat.comp_apply", "CategoryTheory.Mat.comp_def", "CategoryTheory.Mat.id_apply", "CategoryTheory.Mat.id_apply_of_ne", "CategoryTheory.Mat.id_def", "CategoryTheory.Mat_.add_apply", "CategoryTheory.Mat_.additiveObjIsoBiproduct_hom_\u03c0", "CategoryTheory.Mat_.additiveObjIsoBiproduct_naturality", "CategoryTheory.Mat_.additiveObjIsoBiproduct_naturality'", "CategoryTheory.Mat_.comp_def", "CategoryTheory.Mat_.equivalenceSelfOfHasFiniteBiproducts_functor", "CategoryTheory.Mat_.equivalenceSelfOfHasFiniteBiproducts_inverse", "CategoryTheory.Mat_.hom_ext", "CategoryTheory.Mat_.id_apply", "CategoryTheory.Mat_.id_apply_of_ne", "CategoryTheory.Mat_.id_apply_self", "CategoryTheory.Mat_.id_def", "CategoryTheory.Mat_.\u03b9_additiveObjIsoBiproduct_inv", "CategoryTheory.Meq.condition", "CategoryTheory.Meq.equiv_symm_eq_apply", "CategoryTheory.Meq.ext", "CategoryTheory.Meq.pullback_apply", "CategoryTheory.Meq.pullback_refine", "CategoryTheory.Meq.refine_apply", "CategoryTheory.Monad.Algebra.Hom.ext'", "CategoryTheory.Monad.Algebra.comp_eq_comp", "CategoryTheory.Monad.Algebra.comp_f", "CategoryTheory.Monad.Algebra.id_eq_id", "CategoryTheory.Monad.ForgetCreatesColimits.commuting", "CategoryTheory.Monad.FreeCoequalizer.condition", "CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_counit_app", "CategoryTheory.Monad.MonadicityInternal.comparisonAdjunction_unit_f", "CategoryTheory.Monad.algebra_epi_of_epi", "CategoryTheory.Monad.algebra_equiv_of_iso_monads_comp_forget", "CategoryTheory.Monad.algebra_iso_of_iso", "CategoryTheory.Monad.assoc", "CategoryTheory.Monad.beckCoequalizer_desc", "CategoryTheory.Monad.beckCofork_\u03c0", "CategoryTheory.Monad.forget_creates_colimits_of_monad_preserves", "CategoryTheory.Monad.hasLimit_of_comp_forget_hasLimit", "CategoryTheory.Monad.left_comparison", "CategoryTheory.Monad.ofMon_obj", "CategoryTheory.Monad.right_unit", "CategoryTheory.MonadHom.comp_toNatTrans", "CategoryTheory.MonadHom.ext'", "CategoryTheory.MonadHom.id_toNatTrans", "CategoryTheory.MonoOver.bot_arrow_eq_zero", "CategoryTheory.MonoOver.bot_left", "CategoryTheory.MonoOver.imageMonoOver_arrow", "CategoryTheory.MonoOver.lift_comm", "CategoryTheory.MonoOver.map_obj_arrow", "CategoryTheory.MonoOver.pullback_obj_arrow", "CategoryTheory.MonoOver.pullback_obj_left", "CategoryTheory.MonoOver.top_arrow", "CategoryTheory.MonoOver.top_left", "CategoryTheory.Monoidal.associator_inv_app", "CategoryTheory.Monoidal.rightUnitor_hom_app", "CategoryTheory.Monoidal.rightUnitor_inv_app", "CategoryTheory.Monoidal.tensorHom_app", "CategoryTheory.Monoidal.tensorObj_map", "CategoryTheory.Monoidal.tensorUnit_map", "CategoryTheory.Monoidal.tensorUnit_obj", "CategoryTheory.Monoidal.whiskerLeft_app", "CategoryTheory.Monoidal.whiskerRight_app", "CategoryTheory.MonoidalCategory.associator_conjugation", "CategoryTheory.MonoidalCategory.associator_inv_conjugation", "CategoryTheory.MonoidalCategory.associator_inv_naturality", "CategoryTheory.MonoidalCategory.associator_inv_naturality_left", "CategoryTheory.MonoidalCategory.associator_inv_naturality_middle", "CategoryTheory.MonoidalCategory.associator_naturality_right", "CategoryTheory.MonoidalCategory.comp_whiskerRight", "CategoryTheory.MonoidalCategory.dite_tensor", "CategoryTheory.MonoidalCategory.eqToHom_whiskerRight", "CategoryTheory.MonoidalCategory.fullMonoidalClosedSubcategory_ihom_map", "CategoryTheory.MonoidalCategory.fullMonoidalClosedSubcategory_ihom_obj", "CategoryTheory.MonoidalCategory.hom_inv_id_tensor", "CategoryTheory.MonoidalCategory.hom_inv_id_tensor'", "CategoryTheory.MonoidalCategory.hom_inv_whiskerRight", "CategoryTheory.MonoidalCategory.hom_inv_whiskerRight'", "CategoryTheory.MonoidalCategory.id_tensorHom", "CategoryTheory.MonoidalCategory.id_tensor_associator_naturality", "CategoryTheory.MonoidalCategory.id_tensor_comp", "CategoryTheory.MonoidalCategory.id_tensor_comp_tensor_id", "CategoryTheory.MonoidalCategory.id_tensor_rightUnitor_inv", "CategoryTheory.MonoidalCategory.id_whiskerLeft", "CategoryTheory.MonoidalCategory.id_whiskerLeft_symm", "CategoryTheory.MonoidalCategory.inv_hom_id_tensor", "CategoryTheory.MonoidalCategory.inv_hom_id_tensor'", "CategoryTheory.MonoidalCategory.inv_hom_whiskerRight", "CategoryTheory.MonoidalCategory.inv_hom_whiskerRight'", "CategoryTheory.MonoidalCategory.inv_tensor", "CategoryTheory.MonoidalCategory.inv_whiskerRight", "CategoryTheory.MonoidalCategory.leftUnitor_inv_naturality", "CategoryTheory.MonoidalCategory.leftUnitor_inv_tensor_id", "CategoryTheory.MonoidalCategory.leftUnitor_tensor'", "CategoryTheory.MonoidalCategory.leftUnitor_tensor''", "CategoryTheory.MonoidalCategory.leftUnitor_tensor_inv'", "CategoryTheory.MonoidalCategory.leftUnitor_whiskerRight", "CategoryTheory.MonoidalCategory.pentagon_hom_hom_inv_hom_hom", "CategoryTheory.MonoidalCategory.pentagon_hom_hom_inv_inv_hom", "CategoryTheory.MonoidalCategory.pentagon_hom_inv_inv_inv_hom", "CategoryTheory.MonoidalCategory.pentagon_hom_inv_inv_inv_inv", "CategoryTheory.MonoidalCategory.pentagon_inv", "CategoryTheory.MonoidalCategory.pentagon_inv_hom", "CategoryTheory.MonoidalCategory.pentagon_inv_hom_hom_hom_hom", "CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom", "CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom_hom_inv", "CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom_inv_inv", "CategoryTheory.MonoidalCategory.prodMonoidal_leftUnitor_hom_snd", "CategoryTheory.MonoidalCategory.prodMonoidal_leftUnitor_inv_fst", "CategoryTheory.MonoidalCategory.prodMonoidal_leftUnitor_inv_snd", "CategoryTheory.MonoidalCategory.prodMonoidal_rightUnitor_hom_fst", "CategoryTheory.MonoidalCategory.prodMonoidal_rightUnitor_hom_snd", "CategoryTheory.MonoidalCategory.prodMonoidal_rightUnitor_inv_fst", "CategoryTheory.MonoidalCategory.prodMonoidal_rightUnitor_inv_snd", "CategoryTheory.MonoidalCategory.rightAssocTensor_obj", "CategoryTheory.MonoidalCategory.rightUnitor_inv_naturality", "CategoryTheory.MonoidalCategory.rightUnitor_tensor", "CategoryTheory.MonoidalCategory.rightUnitor_tensor_inv", "CategoryTheory.MonoidalCategory.tensorHom_def'", "CategoryTheory.MonoidalCategory.tensorHom_id", "CategoryTheory.MonoidalCategory.tensorRightTensor_hom_app", "CategoryTheory.MonoidalCategory.tensorRightTensor_inv_app", "CategoryTheory.MonoidalCategory.tensor_dite", "CategoryTheory.MonoidalCategory.tensor_hom_inv_id", "CategoryTheory.MonoidalCategory.tensor_hom_inv_id'", "CategoryTheory.MonoidalCategory.tensor_id_comp_id_tensor", "CategoryTheory.MonoidalCategory.tensor_inv_hom_id", "CategoryTheory.MonoidalCategory.tensor_inv_hom_id'", "CategoryTheory.MonoidalCategory.tensor_left_iff", "CategoryTheory.MonoidalCategory.tensor_right_iff", "CategoryTheory.MonoidalCategory.tensor_whiskerLeft", "CategoryTheory.MonoidalCategory.triangle_assoc_comp_left_inv", "CategoryTheory.MonoidalCategory.triangle_assoc_comp_right", "CategoryTheory.MonoidalCategory.triangle_assoc_comp_right_inv", "CategoryTheory.MonoidalCategory.unitors_equal", "CategoryTheory.MonoidalCategory.unitors_inv_equal", "CategoryTheory.MonoidalCategory.whiskerLeftIso_symm", "CategoryTheory.MonoidalCategory.whiskerLeftIso_trans", "CategoryTheory.MonoidalCategory.whiskerLeft_comp", "CategoryTheory.MonoidalCategory.whiskerLeft_dite", "CategoryTheory.MonoidalCategory.whiskerLeft_eqToHom", "CategoryTheory.MonoidalCategory.whiskerLeft_hom_inv", "CategoryTheory.MonoidalCategory.whiskerLeft_hom_inv'", "CategoryTheory.MonoidalCategory.whiskerLeft_iff", "CategoryTheory.MonoidalCategory.whiskerLeft_inv_hom", "CategoryTheory.MonoidalCategory.whiskerLeft_inv_hom'", "CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor", "CategoryTheory.MonoidalCategory.whiskerRightIso_trans", "CategoryTheory.MonoidalCategory.whiskerRight_id", "CategoryTheory.MonoidalCategory.whiskerRight_id_symm", "CategoryTheory.MonoidalCategory.whiskerRight_iff", "CategoryTheory.MonoidalCategory.whiskerRight_tensor", "CategoryTheory.MonoidalCategory.whiskerRight_tensor_symm", "CategoryTheory.MonoidalCategory.whisker_assoc", "CategoryTheory.MonoidalCategory.whisker_exchange", "CategoryTheory.MonoidalClosed.curry_eq", "CategoryTheory.MonoidalClosed.curry_id_eq_coev", "CategoryTheory.MonoidalClosed.curry_injective", "CategoryTheory.MonoidalClosed.curry_natural_right", "CategoryTheory.MonoidalClosed.curry_uncurry", "CategoryTheory.MonoidalClosed.eq_curry_iff", "CategoryTheory.MonoidalClosed.homEquiv_apply_eq", "CategoryTheory.MonoidalClosed.homEquiv_symm_apply_eq", "CategoryTheory.MonoidalClosed.id_tensor_pre_app_comp_ev", "CategoryTheory.MonoidalClosed.ofEquiv_curry_def", "CategoryTheory.MonoidalClosed.ofEquiv_uncurry_def", "CategoryTheory.MonoidalClosed.pre_comm_ihom_map", "CategoryTheory.MonoidalClosed.pre_id", "CategoryTheory.MonoidalClosed.pre_map", "CategoryTheory.MonoidalClosed.uncurry_curry", "CategoryTheory.MonoidalClosed.uncurry_injective", "CategoryTheory.MonoidalClosed.uncurry_natural_left", "CategoryTheory.MonoidalClosed.uncurry_natural_right", "CategoryTheory.MonoidalFunctor.mapAction_\u03b5_inv_hom", "CategoryTheory.MonoidalFunctor.mapAction_\u03bc_inv_hom", "CategoryTheory.MonoidalFunctor.map_leftUnitor", "CategoryTheory.MonoidalFunctor.map_rightUnitor", "CategoryTheory.MonoidalFunctor.map_tensor", "CategoryTheory.MonoidalFunctor.map_whiskerLeft", "CategoryTheory.MonoidalFunctor.map_whiskerRight", "CategoryTheory.MonoidalFunctor.\u03b5Iso_hom", "CategoryTheory.MonoidalFunctor.\u03b5_hom_inv_id", "CategoryTheory.MonoidalFunctor.\u03b5_inv_hom_id", "CategoryTheory.MonoidalFunctor.\u03bcIso_hom", "CategoryTheory.MonoidalFunctor.\u03bc_inv_hom_id", "CategoryTheory.MonoidalNatIso.ofComponents.hom_app", "CategoryTheory.MonoidalNatTrans.comp_toNatTrans", "CategoryTheory.MonoidalNatTrans.comp_toNatTrans_lax", "CategoryTheory.MonoidalNatTrans.ext'", "CategoryTheory.MonoidalOfChosenFiniteProducts.associator_naturality", "CategoryTheory.MonoidalOfChosenFiniteProducts.braiding_naturality", "CategoryTheory.MonoidalOfChosenFiniteProducts.hexagon_forward", "CategoryTheory.MonoidalOfChosenFiniteProducts.hexagon_reverse", "CategoryTheory.MonoidalOfChosenFiniteProducts.leftUnitor_naturality", "CategoryTheory.MonoidalOfChosenFiniteProducts.pentagon", "CategoryTheory.MonoidalOfChosenFiniteProducts.rightUnitor_naturality", "CategoryTheory.MonoidalOfChosenFiniteProducts.symmetry", "CategoryTheory.MonoidalOfChosenFiniteProducts.tensor_comp", "CategoryTheory.MonoidalOfChosenFiniteProducts.tensor_id", "CategoryTheory.MonoidalOfChosenFiniteProducts.triangle", "CategoryTheory.MonoidalOpposite.mop_braiding", "CategoryTheory.MonoidalOpposite.mop_inj_iff", "CategoryTheory.MonoidalOpposite.mop_inv_braiding", "CategoryTheory.MonoidalOpposite.mop_unmop", "CategoryTheory.MonoidalOpposite.unmop_braiding", "CategoryTheory.MonoidalOpposite.unmop_hom_braiding", "CategoryTheory.MonoidalOpposite.unmop_inj_iff", "CategoryTheory.MonoidalOpposite.unmop_injective", "CategoryTheory.MonoidalOpposite.unmop_inv_braiding", "CategoryTheory.MonoidalPreadditive.add_tensor", "CategoryTheory.MonoidalPreadditive.tensor_add", "CategoryTheory.MonoidalPreadditive.tensor_zero", "CategoryTheory.MonoidalPreadditive.zero_tensor", "CategoryTheory.MorphismProperty.ContainsIdentities.of_unop", "CategoryTheory.MorphismProperty.FunctorialFactorizationData.fac_app", "CategoryTheory.MorphismProperty.FunctorialFactorizationData.i_mapZ", "CategoryTheory.MorphismProperty.FunctorialFactorizationData.mapZ_comp", "CategoryTheory.MorphismProperty.FunctorialFactorizationData.mapZ_id", "CategoryTheory.MorphismProperty.FunctorsInverting.ext", "CategoryTheory.MorphismProperty.FunctorsInverting.hom_ext", "CategoryTheory.MorphismProperty.IsCompatibleWithShift.iff", "CategoryTheory.MorphismProperty.IsCompatibleWithShift.shiftFunctor_comp_inverts", "CategoryTheory.MorphismProperty.IsInvertedBy.iff_comp", "CategoryTheory.MorphismProperty.IsInvertedBy.iff_le_inverseImage_isomorphisms", "CategoryTheory.MorphismProperty.IsInvertedBy.iff_map_le_isomorphisms", "CategoryTheory.MorphismProperty.IsInvertedBy.iff_of_iso", "CategoryTheory.MorphismProperty.IsInvertedBy.isoClosure_iff", "CategoryTheory.MorphismProperty.IsInvertedBy.leftOp", "CategoryTheory.MorphismProperty.IsInvertedBy.map_iff", "CategoryTheory.MorphismProperty.IsInvertedBy.of_comp", "CategoryTheory.MorphismProperty.IsInvertedBy.of_le", "CategoryTheory.MorphismProperty.IsInvertedBy.op", "CategoryTheory.MorphismProperty.IsInvertedBy.rightOp", "CategoryTheory.MorphismProperty.IsInvertedBy.unop", "CategoryTheory.MorphismProperty.IsMultiplicative.of_unop", "CategoryTheory.MorphismProperty.IsStableUnderLimitsOfShape.lim_map", "CategoryTheory.MorphismProperty.IsStableUnderProductsOfShape.mk", "CategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.comp_eq", "CategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.map_mk", "CategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.mk_surjective", "CategoryTheory.MorphismProperty.LeftFraction.Localization.Q_map", "CategoryTheory.MorphismProperty.LeftFraction.Localization.Q_map_comp_Qinv", "CategoryTheory.MorphismProperty.LeftFraction.Localization.StrictUniversalPropertyFixedTarget.fac", "CategoryTheory.MorphismProperty.LeftFraction.Localization.StrictUniversalPropertyFixedTarget.inverts", "CategoryTheory.MorphismProperty.LeftFraction.Localization.StrictUniversalPropertyFixedTarget.uniq", "CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_comp_homMk", "CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq", "CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_hom_mk", "CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_iff_leftFractionRel", "CategoryTheory.MorphismProperty.LeftFraction.Localization.map_eq_iff", "CategoryTheory.MorphismProperty.LeftFraction.comp_eq", "CategoryTheory.MorphismProperty.LeftFraction.comp\u2080_rel", "CategoryTheory.MorphismProperty.LeftFraction.exists_rightFraction", "CategoryTheory.MorphismProperty.LeftFraction.map_comp_map_eq_map", "CategoryTheory.MorphismProperty.LeftFraction.map_comp_map_s", "CategoryTheory.MorphismProperty.LeftFraction.map_compatibility", "CategoryTheory.MorphismProperty.LeftFraction.map_eq", "CategoryTheory.MorphismProperty.LeftFraction.map_eq_iff", "CategoryTheory.MorphismProperty.LeftFraction.map_eq_of_map_eq", "CategoryTheory.MorphismProperty.LeftFraction.map_ofHom", "CategoryTheory.MorphismProperty.LeftFraction.map_ofInv_hom_id", "CategoryTheory.MorphismProperty.LeftFraction.op_map", "CategoryTheory.MorphismProperty.LeftFraction.rightFraction_fac", "CategoryTheory.MorphismProperty.LeftFractionRel.op", "CategoryTheory.MorphismProperty.LeftFractionRel.refl", "CategoryTheory.MorphismProperty.LeftFractionRel.symm", "CategoryTheory.MorphismProperty.LeftFractionRel.trans", "CategoryTheory.MorphismProperty.LeftFractionRel.unop", "CategoryTheory.MorphismProperty.LeftFraction\u2082.map_add", "CategoryTheory.MorphismProperty.LeftFraction\u2082.map_eq_iff", "CategoryTheory.MorphismProperty.LeftFraction\u2082.symm_add", "CategoryTheory.MorphismProperty.LeftFraction\u2082Rel.fst", "CategoryTheory.MorphismProperty.Q_inverts", "CategoryTheory.MorphismProperty.RespectsIso.arrow_mk_iso_iff", "CategoryTheory.MorphismProperty.RespectsIso.cancel_left_isIso", "CategoryTheory.MorphismProperty.RespectsIso.cancel_right_isIso", "CategoryTheory.MorphismProperty.RespectsIso.diagonal", "CategoryTheory.MorphismProperty.RespectsIso.epimorphisms", "CategoryTheory.MorphismProperty.RespectsIso.inverseImage", "CategoryTheory.MorphismProperty.RespectsIso.isoClosure_eq", "CategoryTheory.MorphismProperty.RespectsIso.isomorphisms", "CategoryTheory.MorphismProperty.RespectsIso.monomorphisms", "CategoryTheory.MorphismProperty.RespectsIso.of_respects_arrow_iso", "CategoryTheory.MorphismProperty.RespectsIso.op", "CategoryTheory.MorphismProperty.RespectsIso.unop", "CategoryTheory.MorphismProperty.RightFraction.exists_leftFraction", "CategoryTheory.MorphismProperty.RightFraction.map_eq_iff", "CategoryTheory.MorphismProperty.RightFraction.map_hom_ofInv_id", "CategoryTheory.MorphismProperty.RightFraction.map_ofHom", "CategoryTheory.MorphismProperty.RightFraction.map_s_comp_map", "CategoryTheory.MorphismProperty.RightFraction.op_map", "CategoryTheory.MorphismProperty.RightFractionRel.op", "CategoryTheory.MorphismProperty.RightFractionRel.refl", "CategoryTheory.MorphismProperty.RightFractionRel.unop", "CategoryTheory.MorphismProperty.RightFraction\u2082.exists_leftFraction\u2082", "CategoryTheory.MorphismProperty.StableUnderBaseChange.baseChange_map", "CategoryTheory.MorphismProperty.StableUnderBaseChange.diagonal", "CategoryTheory.MorphismProperty.StableUnderBaseChange.fst", "CategoryTheory.MorphismProperty.StableUnderBaseChange.mk", "CategoryTheory.MorphismProperty.StableUnderBaseChange.op", "CategoryTheory.MorphismProperty.StableUnderBaseChange.pullback_map", "CategoryTheory.MorphismProperty.StableUnderBaseChange.respectsIso", "CategoryTheory.MorphismProperty.StableUnderBaseChange.universally_eq", "CategoryTheory.MorphismProperty.StableUnderBaseChange.unop", "CategoryTheory.MorphismProperty.StableUnderCobaseChange.inl", "CategoryTheory.MorphismProperty.StableUnderCobaseChange.inr", "CategoryTheory.MorphismProperty.StableUnderCobaseChange.respectsIso", "CategoryTheory.MorphismProperty.StableUnderCobaseChange.unop", "CategoryTheory.MorphismProperty.StableUnderInverse.op", "CategoryTheory.MorphismProperty.StableUnderInverse.unop", "CategoryTheory.MorphismProperty.bijective_eq_sup", "CategoryTheory.MorphismProperty.bijective_respectsIso", "CategoryTheory.MorphismProperty.comp_eq_top_iff", "CategoryTheory.MorphismProperty.diagonal_iff", "CategoryTheory.MorphismProperty.epimorphisms.iff", "CategoryTheory.MorphismProperty.epimorphisms.infer_property", "CategoryTheory.MorphismProperty.equivalenceLeftFractionRel", "CategoryTheory.MorphismProperty.equivalenceRightFractionRel", "CategoryTheory.MorphismProperty.ext", "CategoryTheory.MorphismProperty.injective_respectsIso", "CategoryTheory.MorphismProperty.inverseImage_equivalence_functor_eq_map_inverse", "CategoryTheory.MorphismProperty.inverseImage_equivalence_inverse_eq_map_functor", "CategoryTheory.MorphismProperty.inverseImage_iff", "CategoryTheory.MorphismProperty.inverseImage_map_eq_of_isEquivalence", "CategoryTheory.MorphismProperty.isoClosure_eq_iff", "CategoryTheory.MorphismProperty.isomorphisms.iff", "CategoryTheory.MorphismProperty.le_def", "CategoryTheory.MorphismProperty.leftFractionRel_op_iff", "CategoryTheory.MorphismProperty.map_eq_iff_postcomp", "CategoryTheory.MorphismProperty.map_eq_iff_precomp", "CategoryTheory.MorphismProperty.map_eq_of_iso", "CategoryTheory.MorphismProperty.map_id", "CategoryTheory.MorphismProperty.map_id_eq_isoClosure", "CategoryTheory.MorphismProperty.map_inverseImage_eq_of_isEquivalence", "CategoryTheory.MorphismProperty.map_inverseImage_le", "CategoryTheory.MorphismProperty.map_isoClosure", "CategoryTheory.MorphismProperty.map_le_iff", "CategoryTheory.MorphismProperty.map_map", "CategoryTheory.MorphismProperty.map_mem_map", "CategoryTheory.MorphismProperty.map_respectsIso", "CategoryTheory.MorphismProperty.monomorphisms.iff", "CategoryTheory.MorphismProperty.monomorphisms.infer_property", "CategoryTheory.MorphismProperty.monotone_isoClosure", "CategoryTheory.MorphismProperty.monotone_map", "CategoryTheory.MorphismProperty.naturalityProperty.stableUnderInverse", "CategoryTheory.MorphismProperty.of_postcomp", "CategoryTheory.MorphismProperty.of_precomp", "CategoryTheory.MorphismProperty.postcomp_iff", "CategoryTheory.MorphismProperty.precomp_iff", "CategoryTheory.MorphismProperty.respectsIso_of_isStableUnderComposition", "CategoryTheory.MorphismProperty.surjective_respectsIso", "CategoryTheory.MorphismProperty.top_apply", "CategoryTheory.MorphismProperty.universally_eq_iff", "CategoryTheory.MorphismProperty.universally_le", "CategoryTheory.MorphismProperty.universally_respectsIso", "CategoryTheory.MorphismProperty.unop_op", "CategoryTheory.NatIso.app_hom", "CategoryTheory.NatIso.app_inv", "CategoryTheory.NatIso.cancel_natIso_hom_left", "CategoryTheory.NatIso.cancel_natIso_hom_right", "CategoryTheory.NatIso.cancel_natIso_hom_right_assoc", "CategoryTheory.NatIso.cancel_natIso_inv_left", "CategoryTheory.NatIso.cancel_natIso_inv_right", "CategoryTheory.NatIso.cancel_natIso_inv_right_assoc", "CategoryTheory.NatIso.inv_inv_app", "CategoryTheory.NatIso.inv_map_inv_app", "CategoryTheory.NatIso.isIso_inv_app", "CategoryTheory.NatIso.isIso_map_iff", "CategoryTheory.NatIso.isIso_of_isIso_app", "CategoryTheory.NatIso.naturality_1", "CategoryTheory.NatIso.naturality_2", "CategoryTheory.NatIso.naturality_2'", "CategoryTheory.NatIso.ofComponents.app", "CategoryTheory.NatIso.trans_app", "CategoryTheory.NatTrans.CommShift.app_shift", "CategoryTheory.NatTrans.CommShift.comm", "CategoryTheory.NatTrans.CommShift.comm_app", "CategoryTheory.NatTrans.CommShift.of_isIso", "CategoryTheory.NatTrans.CommShift.shift_app", "CategoryTheory.NatTrans.CommShift.verticalComposition", "CategoryTheory.NatTrans.Equifibered.whiskerLeft", "CategoryTheory.NatTrans.Equifibered.whiskerRight", "CategoryTheory.NatTrans.app_add", "CategoryTheory.NatTrans.app_homology", "CategoryTheory.NatTrans.app_naturality", "CategoryTheory.NatTrans.app_nsmul", "CategoryTheory.NatTrans.app_smul", "CategoryTheory.NatTrans.app_sub", "CategoryTheory.NatTrans.app_sum", "CategoryTheory.NatTrans.app_units_zsmul", "CategoryTheory.NatTrans.comp_app", "CategoryTheory.NatTrans.congr", "CategoryTheory.NatTrans.congr_app", "CategoryTheory.NatTrans.epi_iff_epi_app", "CategoryTheory.NatTrans.epi_of_epi_app", "CategoryTheory.NatTrans.equifibered_of_discrete", "CategoryTheory.NatTrans.equifibered_of_isIso", "CategoryTheory.NatTrans.exchange", "CategoryTheory.NatTrans.ext'", "CategoryTheory.NatTrans.hcomp_id_app", "CategoryTheory.NatTrans.id_app", "CategoryTheory.NatTrans.id_app'", "CategoryTheory.NatTrans.id_hcomp_app", "CategoryTheory.NatTrans.isIso_app_iff_of_iso", "CategoryTheory.NatTrans.leftDerivedToHomotopyCategory_comp", "CategoryTheory.NatTrans.leftDerivedToHomotopyCategory_id", "CategoryTheory.NatTrans.leftDerived_comp", "CategoryTheory.NatTrans.leftDerived_id", "CategoryTheory.NatTrans.leftOp_comp", "CategoryTheory.NatTrans.leftOp_id", "CategoryTheory.NatTrans.mapHomologicalComplex_id", "CategoryTheory.NatTrans.mapHomologicalComplex_naturality", "CategoryTheory.NatTrans.mapHomotopyCategory_comp", "CategoryTheory.NatTrans.mapHomotopyCategory_id", "CategoryTheory.NatTrans.mono_iff_mono_app", "CategoryTheory.NatTrans.mono_of_mono_app", "CategoryTheory.NatTrans.naturality_app", "CategoryTheory.NatTrans.naturality_apply", "CategoryTheory.NatTrans.op_id", "CategoryTheory.NatTrans.removeLeftOp_id", "CategoryTheory.NatTrans.removeOp_id", "CategoryTheory.NatTrans.rightDerivedToHomotopyCategory_comp", "CategoryTheory.NatTrans.rightDerivedToHomotopyCategory_id", "CategoryTheory.NatTrans.rightDerived_comp", "CategoryTheory.NatTrans.rightDerived_id", "CategoryTheory.NatTrans.rightOp_comp", "CategoryTheory.NatTrans.sum_app_inl", "CategoryTheory.NatTrans.vcomp_app'", "CategoryTheory.NatTrans.vcomp_eq_comp", "CategoryTheory.Nerve.\u03b4\u2080_eq", "CategoryTheory.NoetherianObject.subobject_gt_wellFounded", "CategoryTheory.NonPreadditiveAbelian.add_assoc", "CategoryTheory.NonPreadditiveAbelian.add_comm", "CategoryTheory.NonPreadditiveAbelian.add_comp", "CategoryTheory.NonPreadditiveAbelian.add_def", "CategoryTheory.NonPreadditiveAbelian.add_neg", "CategoryTheory.NonPreadditiveAbelian.add_neg_self", "CategoryTheory.NonPreadditiveAbelian.add_zero", "CategoryTheory.NonPreadditiveAbelian.comp_add", "CategoryTheory.NonPreadditiveAbelian.comp_sub", "CategoryTheory.NonPreadditiveAbelian.diag_\u03c3", "CategoryTheory.NonPreadditiveAbelian.lift_map", "CategoryTheory.NonPreadditiveAbelian.lift_sub_lift", "CategoryTheory.NonPreadditiveAbelian.lift_\u03c3", "CategoryTheory.NonPreadditiveAbelian.neg_add", "CategoryTheory.NonPreadditiveAbelian.neg_add_self", "CategoryTheory.NonPreadditiveAbelian.neg_def", "CategoryTheory.NonPreadditiveAbelian.neg_neg", "CategoryTheory.NonPreadditiveAbelian.neg_sub", "CategoryTheory.NonPreadditiveAbelian.neg_sub'", "CategoryTheory.NonPreadditiveAbelian.sub_add", "CategoryTheory.NonPreadditiveAbelian.sub_comp", "CategoryTheory.NonPreadditiveAbelian.sub_def", "CategoryTheory.NonPreadditiveAbelian.sub_self", "CategoryTheory.NonPreadditiveAbelian.sub_sub_sub", "CategoryTheory.NonPreadditiveAbelian.sub_zero", "CategoryTheory.NonPreadditiveAbelian.\u03c3_comp", "CategoryTheory.NormalEpiCategory.mono_of_cancel_zero", "CategoryTheory.NormalEpiCategory.mono_of_zero_kernel", "CategoryTheory.NormalMonoCategory.epi_of_zero_cancel", "CategoryTheory.NormalMonoCategory.epi_of_zero_cokernel", "CategoryTheory.OplaxFunctor.map\u2082_eqToHom", "CategoryTheory.OplaxFunctor.map\u2082_inv", "CategoryTheory.OplaxFunctor.map\u2082_inv_hom", "CategoryTheory.OplaxMonoidalFunctor.associativity_inv", "CategoryTheory.OplaxMonoidalFunctor.left_unitality_hom", "CategoryTheory.OplaxMonoidalFunctor.right_unitality_hom", "CategoryTheory.OplaxMonoidalFunctor.\u03b4_natural", "CategoryTheory.OplaxNatTrans.Modification.comp_app'", "CategoryTheory.OplaxNatTrans.Modification.id_app'", "CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality", "CategoryTheory.OplaxNatTrans.Modification.whiskerRight_naturality", "CategoryTheory.OplaxNatTrans.ext", "CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp", "CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_id", "CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_naturality", "CategoryTheory.OplaxNatTrans.whiskerRight_naturality_comp", "CategoryTheory.OplaxNatTrans.whiskerRight_naturality_id", "CategoryTheory.OplaxNatTrans.whiskerRight_naturality_naturality", "CategoryTheory.Over.ConstructProducts.has_over_limit_discrete_of_widePullback_limit", "CategoryTheory.Over.ConstructProducts.over_product_of_widePullback", "CategoryTheory.Over.ConstructProducts.over_products_of_widePullbacks", "CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original", "CategoryTheory.Over.OverMorphism.ext", "CategoryTheory.Over.coe_hom", "CategoryTheory.Over.comp_left", "CategoryTheory.Over.epi_iff_epi_left", "CategoryTheory.Over.epi_left_of_epi", "CategoryTheory.Over.epi_of_epi_left", "CategoryTheory.Over.forget_map", "CategoryTheory.Over.iteratedSliceBackward_forget_forget", "CategoryTheory.Over.map_obj_hom", "CategoryTheory.Over.mono_of_mono_left", "CategoryTheory.Over.over_hasTerminal", "CategoryTheory.Over.over_right", "CategoryTheory.Over.w", "CategoryTheory.OverPresheafAux.MakesOverArrow.map\u2081", "CategoryTheory.OverPresheafAux.MakesOverArrow.map\u2082", "CategoryTheory.OverPresheafAux.MakesOverArrow.of_arrow", "CategoryTheory.OverPresheafAux.MakesOverArrow.of_yoneda_arrow", "CategoryTheory.OverPresheafAux.OverArrows.ext", "CategoryTheory.OverPresheafAux.OverArrows.map_val", "CategoryTheory.OverPresheafAux.OverArrows.map\u2081_map\u2082", "CategoryTheory.OverPresheafAux.OverArrows.map\u2081_val", "CategoryTheory.OverPresheafAux.OverArrows.map\u2082_val", "CategoryTheory.OverPresheafAux.OverArrows.yonedaCollectionPresheafToA_val_fst", "CategoryTheory.OverPresheafAux.YonedaCollection.ext", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2081_comp", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2081_map\u2082", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2081_snd", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2082_comp", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2082_fst", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2082_id", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2082_snd", "CategoryTheory.OverPresheafAux.YonedaCollection.map\u2082_yonedaEquivFst", "CategoryTheory.OverPresheafAux.YonedaCollection.mk_fst", "CategoryTheory.OverPresheafAux.YonedaCollection.mk_snd", "CategoryTheory.OverPresheafAux.counitBackward_counitForward", "CategoryTheory.OverPresheafAux.counitForward_counitBackward", "CategoryTheory.OverPresheafAux.counitForward_naturality\u2081", "CategoryTheory.OverPresheafAux.counitForward_naturality\u2082", "CategoryTheory.OverPresheafAux.counitForward_val_fst", "CategoryTheory.OverPresheafAux.map_mkPrecomp_eqToHom", "CategoryTheory.OverPresheafAux.unitBackward_unitForward", "CategoryTheory.OverPresheafAux.unitForward_naturality\u2081", "CategoryTheory.OverPresheafAux.unitForward_naturality\u2082", "CategoryTheory.OverPresheafAux.unitForward_unitBackward", "CategoryTheory.Paths.ext_functor", "CategoryTheory.Paths.lift_cons", "CategoryTheory.Paths.lift_nil", "CategoryTheory.Paths.lift_spec", "CategoryTheory.Paths.lift_toPath", "CategoryTheory.Paths.lift_unique", "CategoryTheory.Pi.comp_apply", "CategoryTheory.Pi.ext", "CategoryTheory.Pi.isoApp_refl", "CategoryTheory.Pi.isoApp_symm", "CategoryTheory.PreGaloisCategory.AutGalois.\u03c0_apply", "CategoryTheory.PreGaloisCategory.AutGalois.\u03c0_surjective", "CategoryTheory.PreGaloisCategory.FiberFunctor.isPretransitive_of_isGalois", "CategoryTheory.PreGaloisCategory.FibreFunctor.end_isUnit", "CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl_obj", "CategoryTheory.PreGaloisCategory.autGaloisSystem_map_surjective", "CategoryTheory.PreGaloisCategory.autIsoFibers_inv_app", "CategoryTheory.PreGaloisCategory.autMap_apply_mul", "CategoryTheory.PreGaloisCategory.autMap_comp", "CategoryTheory.PreGaloisCategory.autMap_surjective_of_isGalois", "CategoryTheory.PreGaloisCategory.autMap_unique", "CategoryTheory.PreGaloisCategory.autMulEquivAutGalois_symm_app", "CategoryTheory.PreGaloisCategory.autMulEquivAutGalois_\u03c0", "CategoryTheory.PreGaloisCategory.card_aut_le_card_fiber_of_connected", "CategoryTheory.PreGaloisCategory.card_fiber_coprod_eq_sum", "CategoryTheory.PreGaloisCategory.card_fiber_eq_of_iso", "CategoryTheory.PreGaloisCategory.card_hom_le_card_fiber_of_connected", "CategoryTheory.PreGaloisCategory.comp_autMap", "CategoryTheory.PreGaloisCategory.comp_autMap_apply", "CategoryTheory.PreGaloisCategory.connected_component_unique", "CategoryTheory.PreGaloisCategory.endEquivAutGalois_mul", "CategoryTheory.PreGaloisCategory.endEquivAutGalois_\u03c0", "CategoryTheory.PreGaloisCategory.endEquivSectionsFibers_\u03c0", "CategoryTheory.PreGaloisCategory.epi_of_nonempty_of_isConnected", "CategoryTheory.PreGaloisCategory.evaluationEquivOfIsGalois_symm_fiber", "CategoryTheory.PreGaloisCategory.evaluation_aut_bijective_of_isGalois", "CategoryTheory.PreGaloisCategory.evaluation_aut_injective_of_isConnected", "CategoryTheory.PreGaloisCategory.evaluation_aut_surjective_of_isGalois", "CategoryTheory.PreGaloisCategory.evaluation_injective_of_isConnected", "CategoryTheory.PreGaloisCategory.exists_autMap", "CategoryTheory.PreGaloisCategory.exists_galois_representative", "CategoryTheory.PreGaloisCategory.exists_hom_from_galois_of_fiber_nonempty", "CategoryTheory.PreGaloisCategory.fiberBinaryProductEquiv_symm_fst_apply", "CategoryTheory.PreGaloisCategory.fiberBinaryProductEquiv_symm_snd_apply", "CategoryTheory.PreGaloisCategory.fiberEqualizerEquiv_symm_\u03b9_apply", "CategoryTheory.PreGaloisCategory.fiberPullbackEquiv_symm_fst_apply", "CategoryTheory.PreGaloisCategory.fiberPullbackEquiv_symm_snd_apply", "CategoryTheory.PreGaloisCategory.fiber_in_connected_component", "CategoryTheory.PreGaloisCategory.has_decomp_connected_components", "CategoryTheory.PreGaloisCategory.has_decomp_connected_components'", "CategoryTheory.PreGaloisCategory.has_decomp_connected_components_aux", "CategoryTheory.PreGaloisCategory.has_decomp_connected_components_aux_conn", "CategoryTheory.PreGaloisCategory.has_decomp_connected_components_aux_initial", "CategoryTheory.PreGaloisCategory.initial_iff_fiber_empty", "CategoryTheory.PreGaloisCategory.isGalois_iff_aux", "CategoryTheory.PreGaloisCategory.isGalois_iff_pretransitive", "CategoryTheory.PreGaloisCategory.isIso_of_mono_of_eq_card_fiber", "CategoryTheory.PreGaloisCategory.lt_card_fiber_of_mono_of_notIso", "CategoryTheory.PreGaloisCategory.mkSelfProdFib_map_\u03c0", "CategoryTheory.PreGaloisCategory.mulAction_def", "CategoryTheory.PreGaloisCategory.non_zero_card_fiber_of_not_initial", "CategoryTheory.PreGaloisCategory.not_initial_iff_fiber_nonempty", "CategoryTheory.PreGaloisCategory.not_initial_of_inhabited", "CategoryTheory.PreGaloisCategory.selfProdProj_fiber", "CategoryTheory.PreGaloisCategory.selfProdTermIncl_fib_eq", "CategoryTheory.PreGaloisCategory.subobj_selfProd_trans", "CategoryTheory.PreGaloisCategory.surjective_of_nonempty_fiber_of_isConnected", "CategoryTheory.PreGaloisCategory.surjective_on_fiber_of_epi", "CategoryTheory.PreOneHypercover.sieve\u2081'_eq_sieve\u2081", "CategoryTheory.PreOneHypercover.sieve\u2081_eq_pullback_sieve\u2081'", "CategoryTheory.Preadditive.IsIso.comp_left_eq_zero", "CategoryTheory.Preadditive.IsIso.comp_right_eq_zero", "CategoryTheory.Preadditive.cokernelCoforkOfCofork_of\u03c0", "CategoryTheory.Preadditive.cokernelCoforkOfCofork_\u03c0", "CategoryTheory.Preadditive.comp_nsmul", "CategoryTheory.Preadditive.comp_sub", "CategoryTheory.Preadditive.comp_sum", "CategoryTheory.Preadditive.comp_zsmul", "CategoryTheory.Preadditive.epi_iff_cancel_zero", "CategoryTheory.Preadditive.epi_iff_surjective", "CategoryTheory.Preadditive.epi_iff_surjective'", "CategoryTheory.Preadditive.epi_of_cokernel_iso_zero", "CategoryTheory.Preadditive.epi_of_cokernel_zero", "CategoryTheory.Preadditive.epi_of_isZero_cokernel'", "CategoryTheory.Preadditive.exact_iff_exact_of_iso", "CategoryTheory.Preadditive.exact_iff_homology'_zero", "CategoryTheory.Preadditive.exact_of_iso_of_exact", "CategoryTheory.Preadditive.exact_of_iso_of_exact'", "CategoryTheory.Preadditive.forkOfKernelFork_\u03b9", "CategoryTheory.Preadditive.hasCoequalizer_of_hasCokernel", "CategoryTheory.Preadditive.hasCokernel_of_hasCoequalizer", "CategoryTheory.Preadditive.hasEqualizers_of_hasKernels", "CategoryTheory.Preadditive.isCoseparating_iff", "CategoryTheory.Preadditive.isCoseparator_iff", "CategoryTheory.Preadditive.isLimitForkOfKernelFork_lift", "CategoryTheory.Preadditive.isSeparating_iff", "CategoryTheory.Preadditive.isSeparator_iff", "CategoryTheory.Preadditive.mono_iff_cancel_zero", "CategoryTheory.Preadditive.mono_iff_injective", "CategoryTheory.Preadditive.mono_iff_injective'", "CategoryTheory.Preadditive.mono_of_cancel_zero", "CategoryTheory.Preadditive.mono_of_isZero_kernel'", "CategoryTheory.Preadditive.mono_of_kernel_zero", "CategoryTheory.Preadditive.neg_comp_neg", "CategoryTheory.Preadditive.neg_iso_inv", "CategoryTheory.Preadditive.smul_iso_hom", "CategoryTheory.Preadditive.smul_iso_inv", "CategoryTheory.Preadditive.sub_comp", "CategoryTheory.Preadditive.sum_comp", "CategoryTheory.Preadditive.zsmul_comp", "CategoryTheory.Prefunctor.mapPath_comp'", "CategoryTheory.PreservesFiniteLimitsOfFlat.fac", "CategoryTheory.PreservesFiniteLimitsOfFlat.uniq", "CategoryTheory.PreservesImage.hom_comp_map_image_\u03b9", "CategoryTheory.PreservesImage.inv_comp_image_\u03b9_map", "CategoryTheory.Presheaf.FamilyOfElementsOnObjects.IsCompatible.exists_unique_section", "CategoryTheory.Presheaf.FamilyOfElementsOnObjects.IsCompatible.familyOfElements_apply", "CategoryTheory.Presheaf.IsSheaf.amalgamateOfArrows_map", "CategoryTheory.Presheaf.IsSheaf.amalgamate_map", "CategoryTheory.Presheaf.IsSheaf.exists_unique_amalgamation_ofArrows", "CategoryTheory.Presheaf.IsSheaf.hom", "CategoryTheory.Presheaf.IsSheaf.hom_ext_ofArrows", "CategoryTheory.Presheaf.IsSheaf.isSeparated", "CategoryTheory.Presheaf.IsSheaf.isSheafFor", "CategoryTheory.Presheaf.app_localPreimage", "CategoryTheory.Presheaf.comp_isLocallyInjective_iff", "CategoryTheory.Presheaf.comp_isLocallySurjective_iff", "CategoryTheory.Presheaf.equalizerSieve_eq_top_iff", "CategoryTheory.Presheaf.equalizerSieve_mem", "CategoryTheory.Presheaf.equalizerSieve_mem_of_equalizerSieve_app_mem", "CategoryTheory.Presheaf.imageSieve_app", "CategoryTheory.Presheaf.imageSieve_mem", "CategoryTheory.Presheaf.imageSieve_whisker_forget", "CategoryTheory.Presheaf.isLimit_iff_isSheafFor", "CategoryTheory.Presheaf.isLimit_iff_isSheafFor_presieve", "CategoryTheory.Presheaf.isLocallyInjective_comp_iff", "CategoryTheory.Presheaf.isLocallyInjective_forget_iff", "CategoryTheory.Presheaf.isLocallyInjective_iff_equalizerSieve_mem_imp", "CategoryTheory.Presheaf.isLocallyInjective_iff_injective_of_separated", "CategoryTheory.Presheaf.isLocallyInjective_iff_of_fac", "CategoryTheory.Presheaf.isLocallyInjective_of_injective", "CategoryTheory.Presheaf.isLocallyInjective_of_isLocallyInjective", "CategoryTheory.Presheaf.isLocallyInjective_of_isLocallyInjective_fac", "CategoryTheory.Presheaf.isLocallyInjective_of_isLocallyInjective_of_isLocallySurjective", "CategoryTheory.Presheaf.isLocallyInjective_of_isLocallyInjective_of_isLocallySurjective_fac", "CategoryTheory.Presheaf.isLocallyInjective_of_whisker", "CategoryTheory.Presheaf.isLocallyInjective_presheafToSheaf_map_iff", "CategoryTheory.Presheaf.isLocallyInjective_whisker", "CategoryTheory.Presheaf.isLocallyInjective_whisker_iff", "CategoryTheory.Presheaf.isLocallySurjective_comp_iff", "CategoryTheory.Presheaf.isLocallySurjective_iff_imagePresheaf_sheafify_eq_top", "CategoryTheory.Presheaf.isLocallySurjective_iff_of_fac", "CategoryTheory.Presheaf.isLocallySurjective_iff_whisker_forget", "CategoryTheory.Presheaf.isLocallySurjective_of_isLocallySurjective", "CategoryTheory.Presheaf.isLocallySurjective_of_isLocallySurjective_of_isLocallyInjective", "CategoryTheory.Presheaf.isLocallySurjective_of_isLocallySurjective_of_isLocallyInjective_fac", "CategoryTheory.Presheaf.isLocallySurjective_of_whisker", "CategoryTheory.Presheaf.isLocallySurjective_presheafToSheaf_map_iff", "CategoryTheory.Presheaf.isLocallySurjective_whisker", "CategoryTheory.Presheaf.isLocallySurjective_whisker_iff", "CategoryTheory.Presheaf.isSeparated_iff_subsingleton", "CategoryTheory.Presheaf.isSheaf_coherent_iff_regular_and_extensive", "CategoryTheory.Presheaf.isSheaf_coherent_of_hasPullbacks_comp", "CategoryTheory.Presheaf.isSheaf_coherent_of_hasPullbacks_of_comp", "CategoryTheory.Presheaf.isSheaf_coherent_of_projective_comp", "CategoryTheory.Presheaf.isSheaf_comp_of_isSheaf", "CategoryTheory.Presheaf.isSheaf_iff_isLimit", "CategoryTheory.Presheaf.isSheaf_iff_isLimit_coverage", "CategoryTheory.Presheaf.isSheaf_iff_isLimit_pretopology", "CategoryTheory.Presheaf.isSheaf_iff_isSheaf'", "CategoryTheory.Presheaf.isSheaf_iff_isSheaf_comp", "CategoryTheory.Presheaf.isSheaf_iff_multiequalizer", "CategoryTheory.Presheaf.isSheaf_iff_multifork", "CategoryTheory.Presheaf.isSheaf_iff_preservesFiniteProducts", "CategoryTheory.Presheaf.isSheaf_iff_preservesFiniteProducts_and_equalizerCondition", "CategoryTheory.Presheaf.isSheaf_iff_preservesFiniteProducts_of_projective", "CategoryTheory.Presheaf.isSheaf_of_isSheaf_comp", "CategoryTheory.Presheaf.isSheaf_of_iso_iff", "CategoryTheory.Presheaf.isSheaf_sup", "CategoryTheory.Presheaf.subsingleton_iff_isSeparatedFor", "CategoryTheory.Presheaf.w", "CategoryTheory.PresheafHom.IsSheafFor.app_cond", "CategoryTheory.PresheafHom.IsSheafFor.exists_app", "CategoryTheory.PresheafHom.isAmalgamation_iff", "CategoryTheory.PresheafOfGroups.Cochain\u2080.inv_apply", "CategoryTheory.PresheafOfGroups.Cochain\u2080.mul_apply", "CategoryTheory.PresheafOfGroups.OneCochain.inv_ev", "CategoryTheory.PresheafOfGroups.OneCochain.mul_ev", "CategoryTheory.PresheafOfGroups.OneCochain.one_ev", "CategoryTheory.PresheafOfGroups.OneCocycle.IsCohomologous.class_eq", "CategoryTheory.PresheafOfGroups.OneCocycle.class_eq_iff", "CategoryTheory.PresheafOfGroups.OneCocycle.equivalence_isCohomologous", "CategoryTheory.PresheafOfGroups.OneCocycle.ev_symm", "CategoryTheory.PresheafOfGroups.OneCocycle.one_toOneCochain", "CategoryTheory.PresheafOfGroups.OneCohomologyRelation.refl", "CategoryTheory.PresheafOfGroups.OneCohomologyRelation.symm", "CategoryTheory.PresheafOfGroups.OneCohomologyRelation.trans", "CategoryTheory.Presieve.Arrows.Compatible.exists_familyOfElements", "CategoryTheory.Presieve.Arrows.Compatible.familyOfElements_ofArrows_mk", "CategoryTheory.Presieve.Arrows.pullbackCompatible_iff", "CategoryTheory.Presieve.FamilyOfElements.Compatible.compPresheafMap", "CategoryTheory.Presieve.FamilyOfElements.Compatible.functorPushforward", "CategoryTheory.Presieve.FamilyOfElements.Compatible.pullback", "CategoryTheory.Presieve.FamilyOfElements.Compatible.sieveExtend", "CategoryTheory.Presieve.FamilyOfElements.Compatible.to_sieveCompatible", "CategoryTheory.Presieve.FamilyOfElements.IsAmalgamation.compPresheafMap", "CategoryTheory.Presieve.FamilyOfElements.compPresheafMap_comp", "CategoryTheory.Presieve.FamilyOfElements.compPresheafMap_id", "CategoryTheory.Presieve.FamilyOfElements.comp_of_compatible", "CategoryTheory.Presieve.FamilyOfElements.isAmalgamation_iff_ofArrows", "CategoryTheory.Presieve.FamilyOfElements.isCompatible_map_smul", "CategoryTheory.Presieve.FamilyOfElements.isCompatible_map_smul_aux", "CategoryTheory.Presieve.FamilyOfElements.restrict_map", "CategoryTheory.Presieve.IsSeparatedFor.ext", "CategoryTheory.Presieve.IsSeparatedFor.isSheafFor", "CategoryTheory.Presieve.IsSheafFor.hom_ext", "CategoryTheory.Presieve.IsSheafFor.isSeparatedFor", "CategoryTheory.Presieve.IsSheafFor.valid_glue", "CategoryTheory.Presieve.bind_comp", "CategoryTheory.Presieve.compatible_iff_sieveCompatible", "CategoryTheory.Presieve.extend_agrees", "CategoryTheory.Presieve.extend_restrict", "CategoryTheory.Presieve.extension_iff_amalgamation", "CategoryTheory.Presieve.factorsThruAlong_id", "CategoryTheory.Presieve.factorsThru_top", "CategoryTheory.Presieve.firstMap_eq_secondMap", "CategoryTheory.Presieve.functorPullback_id", "CategoryTheory.Presieve.functorPullback_mem", "CategoryTheory.Presieve.functorPushforward_comp", "CategoryTheory.Presieve.image_mem_functorPushforward", "CategoryTheory.Presieve.in_coverByImage", "CategoryTheory.Presieve.isAmalgamation_sieveExtend", "CategoryTheory.Presieve.isSeparatedFor_and_exists_isAmalgamation_iff_isSheafFor", "CategoryTheory.Presieve.isSeparatedFor_iff_generate", "CategoryTheory.Presieve.isSeparatedFor_top", "CategoryTheory.Presieve.isSeparated_of_isSheaf", "CategoryTheory.Presieve.isSheafFor_arrows_iff", "CategoryTheory.Presieve.isSheafFor_iff_generate", "CategoryTheory.Presieve.isSheafFor_iff_preservesProduct", "CategoryTheory.Presieve.isSheafFor_iff_yonedaSheafCondition", "CategoryTheory.Presieve.isSheafFor_iso", "CategoryTheory.Presieve.isSheafFor_of_factorsThru", "CategoryTheory.Presieve.isSheafFor_of_preservesProduct", "CategoryTheory.Presieve.isSheafFor_subsieve", "CategoryTheory.Presieve.isSheafFor_subsieve_aux", "CategoryTheory.Presieve.isSheafFor_top_sieve", "CategoryTheory.Presieve.isSheaf_coverage", "CategoryTheory.Presieve.isSheaf_iff_preservesFiniteProducts", "CategoryTheory.Presieve.isSheaf_of_yoneda", "CategoryTheory.Presieve.isSheaf_pretopology", "CategoryTheory.Presieve.isSheaf_sup", "CategoryTheory.Presieve.is_compatible_of_exists_amalgamation", "CategoryTheory.Presieve.ofArrows_bind", "CategoryTheory.Presieve.ofArrows_pUnit", "CategoryTheory.Presieve.ofArrows_pullback", "CategoryTheory.Presieve.ofArrows_surj", "CategoryTheory.Presieve.piComparison_fac", "CategoryTheory.Presieve.pullbackCompatible_iff", "CategoryTheory.Presieve.pullback_singleton", "CategoryTheory.Presieve.restrict_inj", "CategoryTheory.Presieve.singleton.mk", "CategoryTheory.Pretopology.le_def", "CategoryTheory.Pretopology.mem_toGrothendieck", "CategoryTheory.Pretriangulated.Opposite.complete_distinguished_triangle_morphism", "CategoryTheory.Pretriangulated.Opposite.contractible_distinguished", "CategoryTheory.Pretriangulated.Opposite.distinguished_cocone_triangle", "CategoryTheory.Pretriangulated.Opposite.isomorphic_distinguished", "CategoryTheory.Pretriangulated.Opposite.mem_distinguishedTriangles_iff", "CategoryTheory.Pretriangulated.Opposite.mem_distinguishedTriangles_iff'", "CategoryTheory.Pretriangulated.Opposite.rotate_distinguished_triangle", "CategoryTheory.Pretriangulated.Triangle.coyoneda_exact\u2081", "CategoryTheory.Pretriangulated.Triangle.coyoneda_exact\u2082", "CategoryTheory.Pretriangulated.Triangle.epi\u2081", "CategoryTheory.Pretriangulated.Triangle.epi\u2083", "CategoryTheory.Pretriangulated.Triangle.eqToHom_hom\u2081", "CategoryTheory.Pretriangulated.Triangle.hom_ext", "CategoryTheory.Pretriangulated.Triangle.isIso_of_isIsos", "CategoryTheory.Pretriangulated.Triangle.isZero\u2081_iff", "CategoryTheory.Pretriangulated.Triangle.isZero\u2081_iff_isIso\u2082", "CategoryTheory.Pretriangulated.Triangle.isZero\u2081_of_isZero\u2082\u2083", "CategoryTheory.Pretriangulated.Triangle.isZero\u2082_iff", "CategoryTheory.Pretriangulated.Triangle.isZero\u2082_of_isIso\u2083", "CategoryTheory.Pretriangulated.Triangle.isZero\u2082_of_isZero\u2081\u2083", "CategoryTheory.Pretriangulated.Triangle.isZero\u2083_iff", "CategoryTheory.Pretriangulated.Triangle.isZero\u2083_iff_isIso\u2081", "CategoryTheory.Pretriangulated.Triangle.isZero\u2083_of_isIso\u2081", "CategoryTheory.Pretriangulated.Triangle.isZero\u2083_of_isZero\u2081\u2082", "CategoryTheory.Pretriangulated.Triangle.mono\u2083", "CategoryTheory.Pretriangulated.Triangle.mor\u2081_eq_zero_iff_epi\u2083", "CategoryTheory.Pretriangulated.Triangle.mor\u2081_eq_zero_iff_mono\u2082", "CategoryTheory.Pretriangulated.Triangle.mor\u2081_eq_zero_of_epi\u2083", "CategoryTheory.Pretriangulated.Triangle.mor\u2081_eq_zero_of_mono\u2082", "CategoryTheory.Pretriangulated.Triangle.mor\u2082_eq_zero_iff_epi\u2081", "CategoryTheory.Pretriangulated.Triangle.mor\u2082_eq_zero_of_epi\u2081", "CategoryTheory.Pretriangulated.Triangle.mor\u2083_eq_zero_iff_epi\u2082", "CategoryTheory.Pretriangulated.Triangle.mor\u2083_eq_zero_iff_mono\u2081", "CategoryTheory.Pretriangulated.Triangle.mor\u2083_eq_zero_of_epi\u2082", "CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd'_eq", "CategoryTheory.Pretriangulated.Triangle.shiftFunctorZero_eq", "CategoryTheory.Pretriangulated.Triangle.shiftFunctor_eq", "CategoryTheory.Pretriangulated.Triangle.shift_distinguished", "CategoryTheory.Pretriangulated.binaryBiproductTriangle_distinguished", "CategoryTheory.Pretriangulated.binaryProductTriangle_distinguished", "CategoryTheory.Pretriangulated.comp_distTriang_mor_zero\u2081\u2082", "CategoryTheory.Pretriangulated.comp_distTriang_mor_zero\u2082\u2083", "CategoryTheory.Pretriangulated.comp_distTriang_mor_zero\u2083\u2081", "CategoryTheory.Pretriangulated.comp_hom\u2081", "CategoryTheory.Pretriangulated.comp_hom\u2082", "CategoryTheory.Pretriangulated.comp_hom\u2083", "CategoryTheory.Pretriangulated.complete_distinguished_triangle_morphism\u2081", "CategoryTheory.Pretriangulated.complete_distinguished_triangle_morphism\u2082", "CategoryTheory.Pretriangulated.contractible_distinguished\u2081", "CategoryTheory.Pretriangulated.contractible_distinguished\u2082", "CategoryTheory.Pretriangulated.distinguished_cocone_triangle\u2081", "CategoryTheory.Pretriangulated.distinguished_cocone_triangle\u2082", "CategoryTheory.Pretriangulated.distinguished_iff_of_iso", "CategoryTheory.Pretriangulated.exists_iso_binaryBiproduct_of_distTriang", "CategoryTheory.Pretriangulated.exists_iso_of_arrow_iso", "CategoryTheory.Pretriangulated.id_hom\u2083", "CategoryTheory.Pretriangulated.inv_rot_of_distTriang", "CategoryTheory.Pretriangulated.isIso\u2082_of_isIso\u2081\u2083", "CategoryTheory.Pretriangulated.isIso\u2083_of_isIso\u2081\u2082", "CategoryTheory.Pretriangulated.mem_distTriang_op_iff", "CategoryTheory.Pretriangulated.mem_distTriang_op_iff'", "CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_app_shift", "CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_counitIso_hom_naturality", "CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_unitIso_hom_naturality", "CategoryTheory.Pretriangulated.op_distinguished", "CategoryTheory.Pretriangulated.productTriangle.zero\u2083\u2081", "CategoryTheory.Pretriangulated.productTriangle_distinguished", "CategoryTheory.Pretriangulated.rot_of_distTriang", "CategoryTheory.Pretriangulated.shiftFunctorAdd'_op_hom_app", "CategoryTheory.Pretriangulated.shiftFunctorAdd'_op_inv_app", "CategoryTheory.Pretriangulated.shiftFunctorZero_op_hom_app", "CategoryTheory.Pretriangulated.shiftFunctorZero_op_inv_app", "CategoryTheory.Pretriangulated.shiftFunctor_op_map", "CategoryTheory.Pretriangulated.shift_unop_opShiftFunctorEquivalence_counitIso_hom_app", "CategoryTheory.Pretriangulated.shift_unop_opShiftFunctorEquivalence_counitIso_inv_app", "CategoryTheory.Projective.iso_iff", "CategoryTheory.Projective.of_iso", "CategoryTheory.Projective.projective_iff_preservesEpimorphisms_coyoneda_obj", "CategoryTheory.Projective.projective_iff_preservesEpimorphisms_preadditiveCoyoneda_obj", "CategoryTheory.Projective.projective_iff_preservesEpimorphisms_preadditiveCoyoneda_obj'", "CategoryTheory.ProjectiveResolution.complex_d_comp_\u03c0_f_zero", "CategoryTheory.ProjectiveResolution.complex_d_succ_comp", "CategoryTheory.ProjectiveResolution.exact_succ", "CategoryTheory.ProjectiveResolution.fromLeftDerivedZero'_naturality", "CategoryTheory.ProjectiveResolution.fromLeftDerivedZero_eq", "CategoryTheory.ProjectiveResolution.homotopyEquiv_hom_\u03c0", "CategoryTheory.ProjectiveResolution.homotopyEquiv_inv_\u03c0", "CategoryTheory.ProjectiveResolution.isoLeftDerivedObj_hom_naturality", "CategoryTheory.ProjectiveResolution.isoLeftDerivedObj_inv_naturality", "CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj_hom_naturality", "CategoryTheory.ProjectiveResolution.isoLeftDerivedToHomotopyCategoryObj_inv_naturality", "CategoryTheory.ProjectiveResolution.iso_hom_naturality", "CategoryTheory.ProjectiveResolution.iso_inv_naturality", "CategoryTheory.ProjectiveResolution.leftDerivedToHomotopyCategory_app_eq", "CategoryTheory.ProjectiveResolution.leftDerived_app_eq", "CategoryTheory.ProjectiveResolution.liftFOne_zero_comm", "CategoryTheory.ProjectiveResolution.liftHomotopyZeroOne_comp", "CategoryTheory.ProjectiveResolution.liftHomotopyZeroSucc_comp", "CategoryTheory.ProjectiveResolution.lift_commutes", "CategoryTheory.ProjectiveResolution.ofComplex_d_1_0", "CategoryTheory.ProjectiveResolution.ofComplex_exactAt_succ", "CategoryTheory.ProjectiveResolution.pOpcycles_comp_fromLeftDerivedZero'", "CategoryTheory.ProjectiveResolution.\u03c0_f_succ", "CategoryTheory.Pseudofunctor.map\u2082_inv", "CategoryTheory.Pseudofunctor.map\u2082_inv_hom", "CategoryTheory.Pseudofunctor.to_oplax_mapComp", "CategoryTheory.Pseudofunctor.to_oplax_mapId", "CategoryTheory.Pseudofunctor.to_oplax_obj", "CategoryTheory.Quotient.CompClosure.of", "CategoryTheory.Quotient.LiftCommShift.iso_hom_app", "CategoryTheory.Quotient.LiftCommShift.iso_inv_app", "CategoryTheory.Quotient.compClosure_eq_self", "CategoryTheory.Quotient.compClosure_iff_self", "CategoryTheory.Quotient.comp_left", "CategoryTheory.Quotient.comp_mk", "CategoryTheory.Quotient.comp_right", "CategoryTheory.Quotient.functor_additive", "CategoryTheory.Quotient.functor_map_eq_iff", "CategoryTheory.Quotient.lift.isLift_hom", "CategoryTheory.Quotient.lift_map_functor_map", "CategoryTheory.Quotient.lift_obj_functor_obj", "CategoryTheory.Quotient.lift_spec", "CategoryTheory.Quotient.lift_unique", "CategoryTheory.Quotient.lift_unique'", "CategoryTheory.Quotient.natTransLift_app", "CategoryTheory.Quotient.natTransLift_id", "CategoryTheory.Quotient.natTrans_ext", "CategoryTheory.Quotient.sound", "CategoryTheory.Ran.reflective", "CategoryTheory.RanIsSheafOfIsCocontinuous.getSection_commute", "CategoryTheory.RanIsSheafOfIsCocontinuous.getSection_isAmalgamation", "CategoryTheory.RanIsSheafOfIsCocontinuous.getSection_is_unique", "CategoryTheory.RanIsSheafOfIsCocontinuous.gluedSection_isAmalgamation", "CategoryTheory.RanIsSheafOfIsCocontinuous.gluedSection_is_unique", "CategoryTheory.RanIsSheafOfIsCocontinuous.helper", "CategoryTheory.Reflective.comparison_full", "CategoryTheory.RelCat.Hom.rel_comp", "CategoryTheory.RelCat.Hom.rel_id", "CategoryTheory.RelCat.graphFunctor_map", "CategoryTheory.RelCat.rel_iso_iff", "CategoryTheory.RepresentablyFlat.id", "CategoryTheory.RightExactFunctor.forget_obj_of", "CategoryTheory.RightExactFunctor.ofExact_map", "CategoryTheory.RightExactFunctor.ofExact_obj", "CategoryTheory.RightExactFunctor.of_fst", "CategoryTheory.SemiadditiveOfBinaryBiproducts.add_comp", "CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition", "CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add", "CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib", "CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_leftAdd", "CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd", "CategoryTheory.Sheaf.Hom.add_app", "CategoryTheory.Sheaf.Hom.mono_iff_presheaf_mono", "CategoryTheory.Sheaf.Hom.mono_of_presheaf_mono", "CategoryTheory.Sheaf.Subcanonical.isSheaf_of_representable", "CategoryTheory.Sheaf.adjunctionToTypes_counit_app_val", "CategoryTheory.Sheaf.hom_ext", "CategoryTheory.Sheaf.isLocallyBijective_iff_isIso", "CategoryTheory.Sheaf.isLocallyBijective_iff_isIso'", "CategoryTheory.Sheaf.isLocallyInjective_iff_injective", "CategoryTheory.Sheaf.isLocallyInjective_sheafToPresheaf_map_iff", "CategoryTheory.Sheaf.isLocallySurjective_iff_epi", "CategoryTheory.Sheaf.isLocallySurjective_iff_epi'", "CategoryTheory.Sheaf.isLocallySurjective_iff_isIso", "CategoryTheory.Sheaf.isLocallySurjective_sheafToPresheaf_map_iff", "CategoryTheory.Sheaf.isSeparated", "CategoryTheory.Sheaf.isSheafFor_bind", "CategoryTheory.Sheaf.isSheafFor_trans", "CategoryTheory.Sheaf.isSheaf_of_representable", "CategoryTheory.Sheaf.le_finestTopology", "CategoryTheory.Sheaf.mono_of_injective", "CategoryTheory.Sheaf.mono_of_isLocallyInjective", "CategoryTheory.Sheaf.preservesSheafification_of_adjunction", "CategoryTheory.Sheaf.sheaf_for_finestTopology", "CategoryTheory.SheafOfTypes.Hom.ext'", "CategoryTheory.ShiftMkCore.add_zero_inv_app", "CategoryTheory.ShiftMkCore.assoc_inv_app", "CategoryTheory.ShiftMkCore.shiftFunctorAdd_eq", "CategoryTheory.ShiftMkCore.shiftFunctorZero_eq", "CategoryTheory.ShiftMkCore.shiftFunctor_eq", "CategoryTheory.ShiftMkCore.zero_add_inv_app", "CategoryTheory.ShiftedHom.add_comp", "CategoryTheory.ShiftedHom.comp_add", "CategoryTheory.ShiftedHom.comp_assoc", "CategoryTheory.ShiftedHom.comp_mk\u2080", "CategoryTheory.ShiftedHom.comp_mk\u2080_id", "CategoryTheory.ShiftedHom.comp_zero", "CategoryTheory.ShiftedHom.mk\u2080_comp", "CategoryTheory.ShiftedHom.mk\u2080_id_comp", "CategoryTheory.ShiftedHom.zero_comp", "CategoryTheory.ShortComplex.Exact.comp_descToInjective", "CategoryTheory.ShortComplex.Exact.comp_eq_zero", "CategoryTheory.ShortComplex.Exact.desc'", "CategoryTheory.ShortComplex.Exact.epi_f", "CategoryTheory.ShortComplex.Exact.epi_f'", "CategoryTheory.ShortComplex.Exact.epi_f_iff", "CategoryTheory.ShortComplex.Exact.exact_toComposableArrows", "CategoryTheory.ShortComplex.Exact.exact_up_to_refinements", "CategoryTheory.ShortComplex.Exact.g_desc", "CategoryTheory.ShortComplex.Exact.hasHomology", "CategoryTheory.ShortComplex.Exact.hasZeroObject", "CategoryTheory.ShortComplex.Exact.isIso_f'", "CategoryTheory.ShortComplex.Exact.isIso_fromOpcycles", "CategoryTheory.ShortComplex.Exact.isIso_g'", "CategoryTheory.ShortComplex.Exact.isIso_toCycles", "CategoryTheory.ShortComplex.Exact.isZero_X\u2082", "CategoryTheory.ShortComplex.Exact.isZero_X\u2082_iff", "CategoryTheory.ShortComplex.Exact.isZero_of_both_zeros", "CategoryTheory.ShortComplex.Exact.liftFromProjective_comp", "CategoryTheory.ShortComplex.Exact.lift_f", "CategoryTheory.ShortComplex.Exact.map", "CategoryTheory.ShortComplex.Exact.map_of_epi_of_preservesCokernel", "CategoryTheory.ShortComplex.Exact.map_of_preservesRightHomologyOf", "CategoryTheory.ShortComplex.Exact.mono_fromOpcycles", "CategoryTheory.ShortComplex.Exact.mono_g", "CategoryTheory.ShortComplex.Exact.mono_g_iff", "CategoryTheory.ShortComplex.Exact.op", "CategoryTheory.ShortComplex.Exact.unop", "CategoryTheory.ShortComplex.HasHomology.mk'", "CategoryTheory.ShortComplex.HasLeftHomology.hasCokernel", "CategoryTheory.ShortComplex.HasLeftHomology.hasKernel", "CategoryTheory.ShortComplex.HasRightHomology.hasKernel", "CategoryTheory.ShortComplex.HasRightHomology.mk'", "CategoryTheory.ShortComplex.HomologyData.exact_iff", "CategoryTheory.ShortComplex.HomologyData.exact_iff'", "CategoryTheory.ShortComplex.HomologyData.exact_iff_i_p_zero", "CategoryTheory.ShortComplex.HomologyData.leftRightHomologyComparison'_eq", "CategoryTheory.ShortComplex.HomologyData.map_homologyMap'", "CategoryTheory.ShortComplex.HomologyData.right_homologyIso_eq_left_homologyIso_trans_iso", "CategoryTheory.ShortComplex.HomologyMapData.comm", "CategoryTheory.ShortComplex.HomologyMapData.homologyMap'_eq", "CategoryTheory.ShortComplex.HomologyMapData.opcyclesMap'_eq", "CategoryTheory.ShortComplex.Homotopy.eq_add_nullHomotopic", "CategoryTheory.ShortComplex.Homotopy.homologyMap'_congr", "CategoryTheory.ShortComplex.Homotopy.homologyMap_congr", "CategoryTheory.ShortComplex.Homotopy.leftHomologyMap'_congr", "CategoryTheory.ShortComplex.Homotopy.rightHomologyMap'_congr", "CategoryTheory.ShortComplex.Homotopy.rightHomologyMap_congr", "CategoryTheory.ShortComplex.LeftHomologyData.cyclesIso_hom_comp_i", "CategoryTheory.ShortComplex.LeftHomologyData.cyclesIso_inv_comp_iCycles", "CategoryTheory.ShortComplex.LeftHomologyData.exact_iff", "CategoryTheory.ShortComplex.LeftHomologyData.exact_iff_epi_f'", "CategoryTheory.ShortComplex.LeftHomologyData.exact_map_iff", "CategoryTheory.ShortComplex.LeftHomologyData.f'_i", "CategoryTheory.ShortComplex.LeftHomologyData.f'_\u03c0", "CategoryTheory.ShortComplex.LeftHomologyData.homologyIso_hom_comp_leftHomologyIso_inv", "CategoryTheory.ShortComplex.LeftHomologyData.homologyIso_leftHomologyData", "CategoryTheory.ShortComplex.LeftHomologyData.homology\u03c0_comp_homologyIso_hom", "CategoryTheory.ShortComplex.LeftHomologyData.isIso_i", "CategoryTheory.ShortComplex.LeftHomologyData.isIso_\u03c0", "CategoryTheory.ShortComplex.LeftHomologyData.leftHomologyIso_hom_comp_homologyIso_inv", "CategoryTheory.ShortComplex.LeftHomologyData.leftHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.LeftHomologyData.leftHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.LeftHomologyData.leftHomology\u03c0_comp_leftHomologyIso_hom", "CategoryTheory.ShortComplex.LeftHomologyData.liftCycles_comp_cyclesIso_hom", "CategoryTheory.ShortComplex.LeftHomologyData.liftK_\u03c0_eq_zero_of_boundary", "CategoryTheory.ShortComplex.LeftHomologyData.lift_K_comp_cyclesIso_inv", "CategoryTheory.ShortComplex.LeftHomologyData.mapCyclesIso_eq", "CategoryTheory.ShortComplex.LeftHomologyData.mapHomologyIso_eq", "CategoryTheory.ShortComplex.LeftHomologyData.mapLeftHomologyIso_eq", "CategoryTheory.ShortComplex.LeftHomologyData.map_cyclesMap'", "CategoryTheory.ShortComplex.LeftHomologyData.map_f'", "CategoryTheory.ShortComplex.LeftHomologyData.map_leftHomologyMap'", "CategoryTheory.ShortComplex.LeftHomologyData.ofEpiOfIsIsoOfMono'_f'", "CategoryTheory.ShortComplex.LeftHomologyData.ofIsColimitCokernelCofork_f'", "CategoryTheory.ShortComplex.LeftHomologyData.ofIsLimitKernelFork_f'", "CategoryTheory.ShortComplex.LeftHomologyData.ofZeros_f'", "CategoryTheory.ShortComplex.LeftHomologyData.op_g'", "CategoryTheory.ShortComplex.LeftHomologyData.\u03c0_comp_homologyIso_inv", "CategoryTheory.ShortComplex.LeftHomologyData.\u03c0_comp_leftHomologyIso_inv", "CategoryTheory.ShortComplex.LeftHomologyData.\u03c0_descH", "CategoryTheory.ShortComplex.LeftHomologyData.\u03c4\u2081_ofEpiOfIsIsoOfMono_f'", "CategoryTheory.ShortComplex.LeftHomologyMapData.congr_\u03c6H", "CategoryTheory.ShortComplex.LeftHomologyMapData.congr_\u03c6K", "CategoryTheory.ShortComplex.LeftHomologyMapData.cyclesMap'_eq", "CategoryTheory.ShortComplex.LeftHomologyMapData.cyclesMap_comm", "CategoryTheory.ShortComplex.LeftHomologyMapData.cyclesMap_eq", "CategoryTheory.ShortComplex.LeftHomologyMapData.homologyMap_comm", "CategoryTheory.ShortComplex.LeftHomologyMapData.homologyMap_eq", "CategoryTheory.ShortComplex.LeftHomologyMapData.leftHomologyMap'_eq", "CategoryTheory.ShortComplex.LeftHomologyMapData.leftHomologyMap_comm", "CategoryTheory.ShortComplex.LeftHomologyMapData.leftHomologyMap_eq", "CategoryTheory.ShortComplex.LeftHomologyMapData.quasiIso_iff", "CategoryTheory.ShortComplex.QuasiIso.exact_iff", "CategoryTheory.ShortComplex.RightHomologyData.exact_iff_mono_g'", "CategoryTheory.ShortComplex.RightHomologyData.exact_map_iff", "CategoryTheory.ShortComplex.RightHomologyData.homologyIso_hom_comp_rightHomologyIso_inv", "CategoryTheory.ShortComplex.RightHomologyData.homologyIso_hom_comp_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.homologyIso_inv_comp_homology\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.homologyIso_rightHomologyData", "CategoryTheory.ShortComplex.RightHomologyData.isIso_p", "CategoryTheory.ShortComplex.RightHomologyData.isIso_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.liftH_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.mapHomologyIso'_eq", "CategoryTheory.ShortComplex.RightHomologyData.mapOpcyclesIso_eq", "CategoryTheory.ShortComplex.RightHomologyData.mapRightHomologyIso_eq", "CategoryTheory.ShortComplex.RightHomologyData.map_g'", "CategoryTheory.ShortComplex.RightHomologyData.map_opcyclesMap'", "CategoryTheory.ShortComplex.RightHomologyData.map_rightHomologyMap'", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_g'_\u03c4\u2083", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_p", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono'_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_H", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_Q", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_g'", "CategoryTheory.ShortComplex.RightHomologyData.ofEpiOfIsIsoOfMono_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.ofIsColimitCokernelCofork_g'", "CategoryTheory.ShortComplex.RightHomologyData.ofIsLimitKernelFork_g'", "CategoryTheory.ShortComplex.RightHomologyData.ofZeros_g'", "CategoryTheory.ShortComplex.RightHomologyData.op_f'", "CategoryTheory.ShortComplex.RightHomologyData.opcyclesIso_hom_comp_descQ", "CategoryTheory.ShortComplex.RightHomologyData.opcyclesIso_inv_comp_descOpcycles", "CategoryTheory.ShortComplex.RightHomologyData.pOpcycles_comp_opcyclesIso_hom", "CategoryTheory.ShortComplex.RightHomologyData.p_comp_opcyclesIso_inv", "CategoryTheory.ShortComplex.RightHomologyData.p_descQ", "CategoryTheory.ShortComplex.RightHomologyData.p_g'", "CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIso_hom_comp_homologyIso_inv", "CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIso_hom_comp_\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIso_inv_comp_rightHomology\u03b9", "CategoryTheory.ShortComplex.RightHomologyData.rightHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.RightHomologyData.unop_f'", "CategoryTheory.ShortComplex.RightHomologyData.\u03b9_descQ_eq_zero_of_boundary", "CategoryTheory.ShortComplex.RightHomologyData.\u03b9_g'", "CategoryTheory.ShortComplex.RightHomologyMapData.congr_\u03c6H", "CategoryTheory.ShortComplex.RightHomologyMapData.congr_\u03c6Q", "CategoryTheory.ShortComplex.RightHomologyMapData.homologyMap_comm", "CategoryTheory.ShortComplex.RightHomologyMapData.homologyMap_eq", "CategoryTheory.ShortComplex.RightHomologyMapData.opcyclesMap'_eq", "CategoryTheory.ShortComplex.RightHomologyMapData.opcyclesMap_comm", "CategoryTheory.ShortComplex.RightHomologyMapData.opcyclesMap_eq", "CategoryTheory.ShortComplex.RightHomologyMapData.quasiIso_iff", "CategoryTheory.ShortComplex.RightHomologyMapData.quasiIso_map_iff", "CategoryTheory.ShortComplex.RightHomologyMapData.rightHomologyMap'_eq", "CategoryTheory.ShortComplex.RightHomologyMapData.rightHomologyMap_comm", "CategoryTheory.ShortComplex.RightHomologyMapData.rightHomologyMap_eq", "CategoryTheory.ShortComplex.ShortExact.ab_injective_f", "CategoryTheory.ShortComplex.ShortExact.homology_exact\u2081", "CategoryTheory.ShortComplex.ShortExact.homology_exact\u2082", "CategoryTheory.ShortComplex.ShortExact.homology_exact\u2083", "CategoryTheory.ShortComplex.ShortExact.isIso_f_iff", "CategoryTheory.ShortComplex.ShortExact.isIso_g_iff", "CategoryTheory.ShortComplex.ShortExact.map", "CategoryTheory.ShortComplex.ShortExact.map_of_exact", "CategoryTheory.ShortComplex.ShortExact.moduleCat_injective_f", "CategoryTheory.ShortComplex.ShortExact.op", "CategoryTheory.ShortComplex.ShortExact.unop", "CategoryTheory.ShortComplex.ShortExact.\u03b4_apply", "CategoryTheory.ShortComplex.ShortExact.\u03b4_eq", "CategoryTheory.ShortComplex.ShortExact.\u03b4_eq'", "CategoryTheory.ShortComplex.SnakeInput.L\u2080'_exact", "CategoryTheory.ShortComplex.SnakeInput.L\u2080X\u2082ToP_comp_\u03c6\u2081", "CategoryTheory.ShortComplex.SnakeInput.L\u2080_exact", "CategoryTheory.ShortComplex.SnakeInput.L\u2080_g_\u03b4", "CategoryTheory.ShortComplex.SnakeInput.L\u2081'_exact", "CategoryTheory.ShortComplex.SnakeInput.L\u2081_f_\u03c6\u2081", "CategoryTheory.ShortComplex.SnakeInput.L\u2082'_exact", "CategoryTheory.ShortComplex.SnakeInput.comp_f\u2080", "CategoryTheory.ShortComplex.SnakeInput.comp_f\u2081", "CategoryTheory.ShortComplex.SnakeInput.comp_f\u2082", "CategoryTheory.ShortComplex.SnakeInput.comp_f\u2083", "CategoryTheory.ShortComplex.SnakeInput.exact_C\u2081_down", "CategoryTheory.ShortComplex.SnakeInput.exact_C\u2082_down", "CategoryTheory.ShortComplex.SnakeInput.exact_C\u2082_up", "CategoryTheory.ShortComplex.SnakeInput.exact_C\u2083_down", "CategoryTheory.ShortComplex.SnakeInput.id_f\u2080", "CategoryTheory.ShortComplex.SnakeInput.id_f\u2081", "CategoryTheory.ShortComplex.SnakeInput.id_f\u2082", "CategoryTheory.ShortComplex.SnakeInput.id_f\u2083", "CategoryTheory.ShortComplex.SnakeInput.lift_\u03c6\u2082", "CategoryTheory.ShortComplex.SnakeInput.naturality_\u03b4", "CategoryTheory.ShortComplex.SnakeInput.naturality_\u03c6\u2081", "CategoryTheory.ShortComplex.SnakeInput.naturality_\u03c6\u2082", "CategoryTheory.ShortComplex.SnakeInput.op_\u03b4", "CategoryTheory.ShortComplex.SnakeInput.snd_\u03b4", "CategoryTheory.ShortComplex.SnakeInput.snd_\u03b4_inr", "CategoryTheory.ShortComplex.SnakeInput.w\u2080\u2082_\u03c4\u2081", "CategoryTheory.ShortComplex.SnakeInput.w\u2080\u2082_\u03c4\u2082", "CategoryTheory.ShortComplex.SnakeInput.w\u2080\u2082_\u03c4\u2083", "CategoryTheory.ShortComplex.SnakeInput.w\u2081\u2083_\u03c4\u2082", "CategoryTheory.ShortComplex.SnakeInput.w\u2081\u2083_\u03c4\u2083", "CategoryTheory.ShortComplex.SnakeInput.\u03b4_L\u2083_f", "CategoryTheory.ShortComplex.SnakeInput.\u03b4_apply", "CategoryTheory.ShortComplex.SnakeInput.\u03b4_apply'", "CategoryTheory.ShortComplex.SnakeInput.\u03b4_eq", "CategoryTheory.ShortComplex.SnakeInput.\u03c6\u2081_L\u2082_f", "CategoryTheory.ShortComplex.Splitting.epi_g", "CategoryTheory.ShortComplex.Splitting.ext_r", "CategoryTheory.ShortComplex.Splitting.ext_s", "CategoryTheory.ShortComplex.Splitting.isSplitEpi_g", "CategoryTheory.ShortComplex.Splitting.isSplitMono_f", "CategoryTheory.ShortComplex.Splitting.r_f", "CategoryTheory.ShortComplex.Splitting.s_r", "CategoryTheory.ShortComplex.abCyclesIso_inv_apply_iCycles", "CategoryTheory.ShortComplex.ab_exact_iff", "CategoryTheory.ShortComplex.ab_exact_iff_range_eq_ker", "CategoryTheory.ShortComplex.ab_zero_apply", "CategoryTheory.ShortComplex.add_\u03c4\u2081", "CategoryTheory.ShortComplex.add_\u03c4\u2082", "CategoryTheory.ShortComplex.add_\u03c4\u2083", "CategoryTheory.ShortComplex.asIsoHomology\u03b9_inv_comp_homology\u03b9", "CategoryTheory.ShortComplex.asIsoHomology\u03c0_inv_comp_homology\u03c0", "CategoryTheory.ShortComplex.cokernel_\u03c0_comp_cokernelToAbelianCoimage", "CategoryTheory.ShortComplex.comp_homologyMap_comp", "CategoryTheory.ShortComplex.comp_liftCycles", "CategoryTheory.ShortComplex.comp_\u03c4\u2081", "CategoryTheory.ShortComplex.comp_\u03c4\u2082", "CategoryTheory.ShortComplex.comp_\u03c4\u2083", "CategoryTheory.ShortComplex.cyclesIsoX\u2082_hom_inv_id", "CategoryTheory.ShortComplex.cyclesIsoX\u2082_inv_hom_id", "CategoryTheory.ShortComplex.cyclesMap'_add", "CategoryTheory.ShortComplex.cyclesMap'_comp", "CategoryTheory.ShortComplex.cyclesMap'_i", "CategoryTheory.ShortComplex.cyclesMap'_id", "CategoryTheory.ShortComplex.cyclesMap'_neg", "CategoryTheory.ShortComplex.cyclesMap'_smul", "CategoryTheory.ShortComplex.cyclesMap'_sub", "CategoryTheory.ShortComplex.cyclesMap'_zero", "CategoryTheory.ShortComplex.cyclesMap_comp", "CategoryTheory.ShortComplex.cyclesMap_i", "CategoryTheory.ShortComplex.cyclesMap_neg", "CategoryTheory.ShortComplex.cyclesMap_smul", "CategoryTheory.ShortComplex.descOpcycles_comp", "CategoryTheory.ShortComplex.epi_homologyMap_of_epi_cyclesMap'", "CategoryTheory.ShortComplex.epi_\u03c4\u2082_of_exact_of_epi", "CategoryTheory.ShortComplex.eq_liftCycles_homology\u03c0_up_to_refinements", "CategoryTheory.ShortComplex.exact_and_epi_g_iff_of_iso", "CategoryTheory.ShortComplex.exact_and_mono_f_iff_f_is_kernel", "CategoryTheory.ShortComplex.exact_and_mono_f_iff_of_iso", "CategoryTheory.ShortComplex.exact_iff_epi", "CategoryTheory.ShortComplex.exact_iff_epi_kernel_lift", "CategoryTheory.ShortComplex.exact_iff_exact_map_forget\u2082", "CategoryTheory.ShortComplex.exact_iff_exact_toComposableArrows", "CategoryTheory.ShortComplex.exact_iff_exact_up_to_refinements", "CategoryTheory.ShortComplex.exact_iff_homology_iso_zero", "CategoryTheory.ShortComplex.exact_iff_i_p_zero", "CategoryTheory.ShortComplex.exact_iff_isZero_homology", "CategoryTheory.ShortComplex.exact_iff_isZero_leftHomology", "CategoryTheory.ShortComplex.exact_iff_isZero_rightHomology", "CategoryTheory.ShortComplex.exact_iff_kernel_\u03b9_comp_cokernel_\u03c0_zero", "CategoryTheory.ShortComplex.exact_iff_mono", "CategoryTheory.ShortComplex.exact_iff_mono_cokernel_desc", "CategoryTheory.ShortComplex.exact_iff_mono_fromOpcycles", "CategoryTheory.ShortComplex.exact_iff_of_concreteCategory", "CategoryTheory.ShortComplex.exact_iff_of_epi_of_isIso_of_mono", "CategoryTheory.ShortComplex.exact_iff_of_iso", "CategoryTheory.ShortComplex.exact_iff_surjective_abToCycles", "CategoryTheory.ShortComplex.exact_iff_surjective_moduleCatToCycles", "CategoryTheory.ShortComplex.exact_map_iff_of_faithful", "CategoryTheory.ShortComplex.exact_of_f_is_kernel", "CategoryTheory.ShortComplex.exact_of_g_is_cokernel", "CategoryTheory.ShortComplex.exact_of_isZero_X\u2082", "CategoryTheory.ShortComplex.exact_of_iso", "CategoryTheory.ShortComplex.exact_op_iff", "CategoryTheory.ShortComplex.exact_unop_iff", "CategoryTheory.ShortComplex.f'_cyclesMap'", "CategoryTheory.ShortComplex.hasHomology_of_epi_of_isIso_of_mono'", "CategoryTheory.ShortComplex.hasHomology_of_isIsoLeftRightHomologyComparison", "CategoryTheory.ShortComplex.hasHomology_of_isIso_leftRightHomologyComparison'", "CategoryTheory.ShortComplex.hasHomology_of_iso", "CategoryTheory.ShortComplex.hasLeftHomology_of_epi_of_isIso_of_mono", "CategoryTheory.ShortComplex.hasLeftHomology_of_iso", "CategoryTheory.ShortComplex.hasRightHomology_of_iso", "CategoryTheory.ShortComplex.hom_ext", "CategoryTheory.ShortComplex.homologyMap'_id", "CategoryTheory.ShortComplex.homologyMap'_neg", "CategoryTheory.ShortComplex.homologyMap'_nullHomotopic", "CategoryTheory.ShortComplex.homologyMap'_op", "CategoryTheory.ShortComplex.homologyMap'_smul", "CategoryTheory.ShortComplex.homologyMap'_sub", "CategoryTheory.ShortComplex.homologyMap'_zero", "CategoryTheory.ShortComplex.homologyMap_add", "CategoryTheory.ShortComplex.homologyMap_comp", "CategoryTheory.ShortComplex.homologyMap_id", "CategoryTheory.ShortComplex.homologyMap_nullHomotopic", "CategoryTheory.ShortComplex.homologyMap_op", "CategoryTheory.ShortComplex.homologyMap_smul", "CategoryTheory.ShortComplex.homologyMap_sub", "CategoryTheory.ShortComplex.homologyMap_zero", "CategoryTheory.ShortComplex.homology_\u03c0_\u03b9", "CategoryTheory.ShortComplex.homology\u03b9_comp_asIsoHomology\u03b9_inv", "CategoryTheory.ShortComplex.homology\u03b9_comp_fromOpcycles", "CategoryTheory.ShortComplex.homology\u03b9_descOpcycles_eq_zero_of_boundary", "CategoryTheory.ShortComplex.homology\u03b9_naturality", "CategoryTheory.ShortComplex.homology\u03c0_comp_asIsoHomology\u03c0_inv", "CategoryTheory.ShortComplex.homology\u03c0_comp_leftHomologyIso_inv", "CategoryTheory.ShortComplex.homology\u03c0_naturality", "CategoryTheory.ShortComplex.iCycles_g", "CategoryTheory.ShortComplex.i_cyclesMk", "CategoryTheory.ShortComplex.id_\u03c4\u2082", "CategoryTheory.ShortComplex.id_\u03c4\u2083", "CategoryTheory.ShortComplex.isComplex_toComposableArrows", "CategoryTheory.ShortComplex.isIso_cyclesMap'_of_isIso_of_mono", "CategoryTheory.ShortComplex.isIso_homologyMap_of_epi_of_isIso_of_mono'", "CategoryTheory.ShortComplex.isIso_homologyMap_of_isIso_cyclesMap_of_epi", "CategoryTheory.ShortComplex.isIso_homologyMap_of_isIso_opcyclesMap_of_mono", "CategoryTheory.ShortComplex.isIso_homology\u03c0", "CategoryTheory.ShortComplex.isIso_iCycles", "CategoryTheory.ShortComplex.isIso_leftHomology\u03c0", "CategoryTheory.ShortComplex.isIso_opcyclesMap'_of_isIso_of_epi", "CategoryTheory.ShortComplex.isIso_rightHomology\u03b9", "CategoryTheory.ShortComplex.isIso\u2082_of_shortExact_of_isIso\u2081\u2083", "CategoryTheory.ShortComplex.isZero_homology_of_isZero_X\u2082", "CategoryTheory.ShortComplex.leftHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.leftHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.leftHomologyMap'_add", "CategoryTheory.ShortComplex.leftHomologyMap'_comp", "CategoryTheory.ShortComplex.leftHomologyMap'_id", "CategoryTheory.ShortComplex.leftHomologyMap'_neg", "CategoryTheory.ShortComplex.leftHomologyMap'_op", "CategoryTheory.ShortComplex.leftHomologyMap'_smul", "CategoryTheory.ShortComplex.leftHomologyMap'_sub", "CategoryTheory.ShortComplex.leftHomologyMap_add", "CategoryTheory.ShortComplex.leftHomologyMap_comp", "CategoryTheory.ShortComplex.leftHomologyMap_op", "CategoryTheory.ShortComplex.leftHomologyMap_smul", "CategoryTheory.ShortComplex.leftHomologyMap_sub", "CategoryTheory.ShortComplex.leftHomology_ext", "CategoryTheory.ShortComplex.leftHomology_ext_iff", "CategoryTheory.ShortComplex.leftHomology\u03c0_naturality'", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_compatibility", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_eq_descH", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_eq_leftHomologpMap'_comp_iso_hom_comp_rightHomologyMap'", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_eq_liftH", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_fac", "CategoryTheory.ShortComplex.leftRightHomologyComparison'_naturality", "CategoryTheory.ShortComplex.leftRightHomologyComparison_eq", "CategoryTheory.ShortComplex.leftRightHomologyComparison_fac", "CategoryTheory.ShortComplex.liftCycles_comp_cyclesMap", "CategoryTheory.ShortComplex.liftCycles_homology\u03c0_eq_zero_of_boundary", "CategoryTheory.ShortComplex.liftCycles_i", "CategoryTheory.ShortComplex.liftCycles_leftHomology\u03c0_eq_zero_of_boundary", "CategoryTheory.ShortComplex.mapCyclesIso_hom_naturality", "CategoryTheory.ShortComplex.mapCyclesIso_inv_naturality", "CategoryTheory.ShortComplex.mapHomologyIso'_eq_mapHomologyIso", "CategoryTheory.ShortComplex.mapHomologyIso'_hom_naturality", "CategoryTheory.ShortComplex.mapHomologyIso'_inv_naturality", "CategoryTheory.ShortComplex.mapHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.mapHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.mapLeftHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.mapLeftHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.mapOpcyclesIso_hom_naturality", "CategoryTheory.ShortComplex.mapOpcyclesIso_inv_naturality", "CategoryTheory.ShortComplex.mapRightHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.mapRightHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.moduleCatCyclesIso_hom_subtype", "CategoryTheory.ShortComplex.moduleCatLeftHomologyData_f'", "CategoryTheory.ShortComplex.moduleCat_exact_iff", "CategoryTheory.ShortComplex.moduleCat_exact_iff_ker_sub_range", "CategoryTheory.ShortComplex.moduleCat_exact_iff_range_eq_ker", "CategoryTheory.ShortComplex.mono_homologyMap_of_mono_opcyclesMap'", "CategoryTheory.ShortComplex.mono_\u03c4\u2082_of_exact_of_mono", "CategoryTheory.ShortComplex.neg_\u03c4\u2082", "CategoryTheory.ShortComplex.opMap_id", "CategoryTheory.ShortComplex.opcyclesIsoRightHomology_hom_inv_id", "CategoryTheory.ShortComplex.opcyclesIsoX\u2082_hom_inv_id", "CategoryTheory.ShortComplex.opcyclesMap'_add", "CategoryTheory.ShortComplex.opcyclesMap'_comp", "CategoryTheory.ShortComplex.opcyclesMap'_g'", "CategoryTheory.ShortComplex.opcyclesMap'_id", "CategoryTheory.ShortComplex.opcyclesMap'_neg", "CategoryTheory.ShortComplex.opcyclesMap'_smul", "CategoryTheory.ShortComplex.opcyclesMap'_sub", "CategoryTheory.ShortComplex.opcyclesMap'_zero", "CategoryTheory.ShortComplex.opcyclesMap_add", "CategoryTheory.ShortComplex.opcyclesMap_comp", "CategoryTheory.ShortComplex.opcyclesMap_comp_descOpcycles", "CategoryTheory.ShortComplex.opcyclesMap_id", "CategoryTheory.ShortComplex.opcyclesMap_smul", "CategoryTheory.ShortComplex.opcyclesMap_sub", "CategoryTheory.ShortComplex.opcyclesMap_zero", "CategoryTheory.ShortComplex.opcycles_ext", "CategoryTheory.ShortComplex.opcycles_ext_iff", "CategoryTheory.ShortComplex.p_descOpcycles", "CategoryTheory.ShortComplex.p_opcyclesMap", "CategoryTheory.ShortComplex.p_opcyclesMap'", "CategoryTheory.ShortComplex.quasiIso_iff", "CategoryTheory.ShortComplex.quasiIso_iff_isIso_descOpcycles", "CategoryTheory.ShortComplex.quasiIso_iff_isIso_homologyMap'", "CategoryTheory.ShortComplex.quasiIso_iff_isIso_leftHomologyMap'", "CategoryTheory.ShortComplex.quasiIso_iff_isIso_liftCycles", "CategoryTheory.ShortComplex.quasiIso_iff_isIso_rightHomologyMap'", "CategoryTheory.ShortComplex.quasiIso_iff_of_arrow_mk_iso", "CategoryTheory.ShortComplex.quasiIso_iff_of_zeros", "CategoryTheory.ShortComplex.quasiIso_iff_of_zeros'", "CategoryTheory.ShortComplex.quasiIso_map_iff_of_preservesLeftHomology", "CategoryTheory.ShortComplex.quasiIso_map_iff_of_preservesRightHomology", "CategoryTheory.ShortComplex.quasiIso_of_arrow_mk_iso", "CategoryTheory.ShortComplex.quasiIso_of_comp_left", "CategoryTheory.ShortComplex.quasiIso_of_comp_right", "CategoryTheory.ShortComplex.quasiIso_opMap_iff", "CategoryTheory.ShortComplex.quasiIso_unopMap", "CategoryTheory.ShortComplex.rightHomologyIso_hom_comp_homology\u03b9", "CategoryTheory.ShortComplex.rightHomologyIso_hom_naturality", "CategoryTheory.ShortComplex.rightHomologyIso_inv_naturality", "CategoryTheory.ShortComplex.rightHomologyMap'_add", "CategoryTheory.ShortComplex.rightHomologyMap'_comp", "CategoryTheory.ShortComplex.rightHomologyMap'_neg", "CategoryTheory.ShortComplex.rightHomologyMap'_nullHomotopic", "CategoryTheory.ShortComplex.rightHomologyMap'_op", "CategoryTheory.ShortComplex.rightHomologyMap'_smul", "CategoryTheory.ShortComplex.rightHomologyMap'_sub", "CategoryTheory.ShortComplex.rightHomologyMap'_zero", "CategoryTheory.ShortComplex.rightHomologyMap_comp", "CategoryTheory.ShortComplex.rightHomologyMap_id", "CategoryTheory.ShortComplex.rightHomologyMap_neg", "CategoryTheory.ShortComplex.rightHomologyMap_nullHomotopic", "CategoryTheory.ShortComplex.rightHomologyMap_op", "CategoryTheory.ShortComplex.rightHomologyMap_smul", "CategoryTheory.ShortComplex.rightHomologyMap_sub", "CategoryTheory.ShortComplex.rightHomology_ext", "CategoryTheory.ShortComplex.rightHomology_ext_iff", "CategoryTheory.ShortComplex.rightHomology\u03b9_comp_fromOpcycles", "CategoryTheory.ShortComplex.rightHomology\u03b9_descOpcycles_\u03c0_eq_zero_of_boundary", "CategoryTheory.ShortComplex.rightHomology\u03b9_naturality", "CategoryTheory.ShortComplex.rightHomology\u03b9_naturality'", "CategoryTheory.ShortComplex.shortExact_iff_of_iso", "CategoryTheory.ShortComplex.shortExact_iff_op", "CategoryTheory.ShortComplex.shortExact_iff_unop", "CategoryTheory.ShortComplex.shortExact_of_iso", "CategoryTheory.ShortComplex.smul_\u03c4\u2081", "CategoryTheory.ShortComplex.smul_\u03c4\u2083", "CategoryTheory.ShortComplex.sub_\u03c4\u2082", "CategoryTheory.ShortComplex.sub_\u03c4\u2083", "CategoryTheory.ShortComplex.toCycles_comp_homology\u03c0", "CategoryTheory.ShortComplex.toCycles_comp_leftHomology\u03c0", "CategoryTheory.ShortComplex.toCycles_i", "CategoryTheory.ShortComplex.toCycles_moduleCatCyclesIso_hom", "CategoryTheory.ShortComplex.unopMap_id", "CategoryTheory.ShortComplex.zero_apply", "CategoryTheory.ShortComplex.zero_\u03c4\u2082", "CategoryTheory.ShortComplex.zero_\u03c4\u2083", "CategoryTheory.ShortComplex.\u03c0_descHomology", "CategoryTheory.ShortComplex.\u03c0_homologyMap_\u03b9", "CategoryTheory.ShortComplex.\u03c0_leftRightHomologyComparison'_\u03b9", "CategoryTheory.ShortComplex.\u03c0\u2081To\u03c0\u2082_comp_\u03c0\u2082To\u03c0\u2083", "CategoryTheory.Sieve.effectiveEpimorphic_family", "CategoryTheory.Sieve.effectiveEpimorphic_singleton", "CategoryTheory.Sieve.ext", "CategoryTheory.Sieve.ext_iff", "CategoryTheory.Sieve.forallYonedaIsSheaf_iff_colimit", "CategoryTheory.Sieve.functorPullback_arrows", "CategoryTheory.Sieve.functorPullback_bot", "CategoryTheory.Sieve.functorPullback_inter", "CategoryTheory.Sieve.functorPullback_monotone", "CategoryTheory.Sieve.functorPullback_pushforward_le", "CategoryTheory.Sieve.functorPullback_top", "CategoryTheory.Sieve.functorPullback_union", "CategoryTheory.Sieve.functorPushforward_bot", "CategoryTheory.Sieve.functorPushforward_comp", "CategoryTheory.Sieve.functorPushforward_extend_eq", "CategoryTheory.Sieve.functorPushforward_id", "CategoryTheory.Sieve.functorPushforward_monotone", "CategoryTheory.Sieve.functorPushforward_over_map", "CategoryTheory.Sieve.functorPushforward_top", "CategoryTheory.Sieve.functor_galoisConnection", "CategoryTheory.Sieve.generateFamily_eq", "CategoryTheory.Sieve.generateSingleton_eq", "CategoryTheory.Sieve.generate_of_contains_isSplitEpi", "CategoryTheory.Sieve.generate_of_singleton_isSplitEpi", "CategoryTheory.Sieve.generate_sieve", "CategoryTheory.Sieve.generate_top", "CategoryTheory.Sieve.id_mem_iff_eq_top", "CategoryTheory.Sieve.inter_apply", "CategoryTheory.Sieve.le_generate", "CategoryTheory.Sieve.le_pullback_bind", "CategoryTheory.Sieve.le_pushforward_pullback", "CategoryTheory.Sieve.mem_ofArrows_iff", "CategoryTheory.Sieve.mem_ofObjects_iff", "CategoryTheory.Sieve.ofArrows_eq_ofObjects", "CategoryTheory.Sieve.ofArrows_le_ofObjects", "CategoryTheory.Sieve.ofArrows_mk", "CategoryTheory.Sieve.overEquiv_iff", "CategoryTheory.Sieve.overEquiv_pullback", "CategoryTheory.Sieve.overEquiv_top", "CategoryTheory.Sieve.pullbackArrows_comm", "CategoryTheory.Sieve.pullback_comp", "CategoryTheory.Sieve.pullback_eq_top_iff_mem", "CategoryTheory.Sieve.pullback_inter", "CategoryTheory.Sieve.pullback_monotone", "CategoryTheory.Sieve.pullback_ofObjects_eq_top", "CategoryTheory.Sieve.pullback_pushforward_le", "CategoryTheory.Sieve.pushforward_comp", "CategoryTheory.Sieve.pushforward_le_bind_of_mem", "CategoryTheory.Sieve.pushforward_monotone", "CategoryTheory.Sieve.sInf_apply", "CategoryTheory.Sieve.sSup_apply", "CategoryTheory.Sieve.sets_iff_generate", "CategoryTheory.Sieve.sieveOfSubfunctor_functorInclusion", "CategoryTheory.Sieve.top_apply", "CategoryTheory.Sieve.union_apply", "CategoryTheory.Sieve.yonedaFamily_fromCocone_compatible", "CategoryTheory.Sigma.SigmaHom.assoc", "CategoryTheory.Sigma.SigmaHom.id_comp", "CategoryTheory.Sigma.descUniq_hom_app", "CategoryTheory.Sigma.descUniq_inv_app", "CategoryTheory.Sigma.desc_map_mk", "CategoryTheory.Sigma.inclDesc_hom_app", "CategoryTheory.Sigma.inclDesc_inv_app", "CategoryTheory.Sigma.map_obj", "CategoryTheory.Sigma.natTrans_app", "CategoryTheory.Simple.iff_of_iso", "CategoryTheory.Simple.not_isZero", "CategoryTheory.Simple.of_iso", "CategoryTheory.SimplicialCategory.sHomWhiskerLeft_comp", "CategoryTheory.SimplicialCategory.sHomWhiskerLeft_id", "CategoryTheory.SimplicialCategory.sHomWhiskerRight_comp", "CategoryTheory.SimplicialObject.Augmented.hom_ext", "CategoryTheory.SimplicialObject.Augmented.w\u2080", "CategoryTheory.SimplicialObject.augment_hom_zero", "CategoryTheory.SimplicialObject.eqToIso_refl", "CategoryTheory.SimplicialObject.hom_ext", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03b4", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03b4'", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03b4''", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03b4_self", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03b4_self'", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_of_gt", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_of_gt'", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_of_le", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_self", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_self'", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_succ", "CategoryTheory.SimplicialObject.\u03b4_comp_\u03c3_succ'", "CategoryTheory.SimplicialObject.\u03c3_comp_\u03c3", "CategoryTheory.SimplicialObject.\u03c3_naturality", "CategoryTheory.SingleFunctors.comp_hom", "CategoryTheory.SingleFunctors.hom_ext", "CategoryTheory.SingleFunctors.hom_inv_id_hom_app", "CategoryTheory.SingleFunctors.id_hom", "CategoryTheory.SingleFunctors.inv_hom_id_hom_app", "CategoryTheory.SingleFunctors.shiftIso_add'", "CategoryTheory.SingleFunctors.shiftIso_add'_hom_app", "CategoryTheory.SingleFunctors.shiftIso_add'_inv_app", "CategoryTheory.SingleFunctors.shiftIso_add_hom_app", "CategoryTheory.SingleFunctors.shiftIso_add_inv_app", "CategoryTheory.SingleObj.comp_as_mul", "CategoryTheory.SingleObj.id_as_one", "CategoryTheory.SingleObj.inv_as_inv", "CategoryTheory.SingleObj.mapHom_comp", "CategoryTheory.SmallObject.FunctorObjIndex.comm", "CategoryTheory.SmallObject.functorMapSrc_functorObjTop", "CategoryTheory.SmallObject.functorMap_comm", "CategoryTheory.SmallObject.functorMap_id", "CategoryTheory.SmallObject.functorMap_\u03c0", "CategoryTheory.SmallObject.functorObj_comm", "CategoryTheory.SmallObject.\u03b9FunctorObj_naturality", "CategoryTheory.SmallObject.\u03b9_functorMapTgt", "CategoryTheory.SmallObject.\u03c1FunctorObj_\u03c0", "CategoryTheory.SplitEpi.epi", "CategoryTheory.SplitMono.mono", "CategoryTheory.StrongEpi.iff_of_arrow_iso", "CategoryTheory.StrongEpi.mk'", "CategoryTheory.StrongEpi.of_arrow_iso", "CategoryTheory.StrongMono.of_arrow_iso", "CategoryTheory.StructuredArrow.IsUniversal.fac", "CategoryTheory.StructuredArrow.IsUniversal.hom_desc", "CategoryTheory.StructuredArrow.IsUniversal.hom_ext", "CategoryTheory.StructuredArrow.epi_of_epi_right", "CategoryTheory.StructuredArrow.eqToHom_right", "CategoryTheory.StructuredArrow.eq_mk", "CategoryTheory.StructuredArrow.ext", "CategoryTheory.StructuredArrow.ext_iff", "CategoryTheory.StructuredArrow.homMk'_id", "CategoryTheory.StructuredArrow.homMk_surjective", "CategoryTheory.StructuredArrow.id_right", "CategoryTheory.StructuredArrow.isCoseparating_proj_preimage", "CategoryTheory.StructuredArrow.left_eq_id", "CategoryTheory.StructuredArrow.lift_projectSubobject", "CategoryTheory.StructuredArrow.map_id", "CategoryTheory.StructuredArrow.map_mk", "CategoryTheory.StructuredArrow.mkPostcomp_comp", "CategoryTheory.StructuredArrow.mkPostcomp_id", "CategoryTheory.StructuredArrow.mk_hom_eq_self", "CategoryTheory.StructuredArrow.mk_left", "CategoryTheory.StructuredArrow.mk_surjective", "CategoryTheory.StructuredArrow.mono_iff_mono_right", "CategoryTheory.StructuredArrow.projectSubobject_factors", "CategoryTheory.Subgroupoid.IsNormal.conj'", "CategoryTheory.Subgroupoid.IsNormal.conjugation_bij", "CategoryTheory.Subgroupoid.IsNormal.generatedNormal_le", "CategoryTheory.Subgroupoid.IsNormal.vertexSubgroup", "CategoryTheory.Subgroupoid.IsWide.eqToHom_mem", "CategoryTheory.Subgroupoid.Map.arrows_iff", "CategoryTheory.Subgroupoid.coe_inv_coe'", "CategoryTheory.Subgroupoid.comap_comp", "CategoryTheory.Subgroupoid.disconnect_isTotallyDisconnected", "CategoryTheory.Subgroupoid.discrete_isNormal", "CategoryTheory.Subgroupoid.full_empty", "CategoryTheory.Subgroupoid.full_mono", "CategoryTheory.Subgroupoid.full_univ", "CategoryTheory.Subgroupoid.galoisConnection_map_comap", "CategoryTheory.Subgroupoid.generatedNormal_isNormal", "CategoryTheory.Subgroupoid.generated_le_generatedNormal", "CategoryTheory.Subgroupoid.hom.faithful", "CategoryTheory.Subgroupoid.hom.inj_on_objects", "CategoryTheory.Subgroupoid.id_mem_of_nonempty_isotropy", "CategoryTheory.Subgroupoid.id_mem_of_src", "CategoryTheory.Subgroupoid.inclusion_faithful", "CategoryTheory.Subgroupoid.inclusion_inj_on_objects", "CategoryTheory.Subgroupoid.inclusion_refl", "CategoryTheory.Subgroupoid.inclusion_trans", "CategoryTheory.Subgroupoid.inv_mem_iff", "CategoryTheory.Subgroupoid.isNormal_comap", "CategoryTheory.Subgroupoid.isNormal_map", "CategoryTheory.Subgroupoid.isThin_iff", "CategoryTheory.Subgroupoid.isTotallyDisconnected_iff", "CategoryTheory.Subgroupoid.isWide_iff_objs_eq_univ", "CategoryTheory.Subgroupoid.ker_comp", "CategoryTheory.Subgroupoid.ker_isNormal", "CategoryTheory.Subgroupoid.le_comap_map", "CategoryTheory.Subgroupoid.le_iff", "CategoryTheory.Subgroupoid.le_objs", "CategoryTheory.Subgroupoid.map_comap_le", "CategoryTheory.Subgroupoid.map_le_iff_le_comap", "CategoryTheory.Subgroupoid.map_mono", "CategoryTheory.Subgroupoid.map_objs_eq", "CategoryTheory.Subgroupoid.mem_full_iff", "CategoryTheory.Subgroupoid.mem_iff", "CategoryTheory.Subgroupoid.mem_im_iff", "CategoryTheory.Subgroupoid.mem_im_objs_iff", "CategoryTheory.Subgroupoid.mem_ker_iff", "CategoryTheory.Subgroupoid.mem_map_iff", "CategoryTheory.Subgroupoid.mem_map_objs_iff", "CategoryTheory.Subgroupoid.mem_objs_of_src", "CategoryTheory.Subgroupoid.mem_objs_of_tgt", "CategoryTheory.Subgroupoid.mem_sInf_arrows", "CategoryTheory.Subgroupoid.mem_top", "CategoryTheory.Subgroupoid.mem_top_objs", "CategoryTheory.Subgroupoid.mul_mem_cancel_left", "CategoryTheory.Subgroupoid.mul_mem_cancel_right", "CategoryTheory.Subgroupoid.sInf_isNormal", "CategoryTheory.Subgroupoid.subset_generated", "CategoryTheory.Subobject.arrow_congr", "CategoryTheory.Subobject.bot_arrow", "CategoryTheory.Subobject.bot_eq_initial_to", "CategoryTheory.Subobject.bot_factors_iff_zero", "CategoryTheory.Subobject.eq_of_comm", "CategoryTheory.Subobject.eq_of_comp_arrow_eq", "CategoryTheory.Subobject.eq_of_isDetecting", "CategoryTheory.Subobject.eq_of_le_of_isDetecting", "CategoryTheory.Subobject.eq_top_of_isIso_arrow", "CategoryTheory.Subobject.exists_iso_map", "CategoryTheory.Subobject.factorThru_add_sub_factorThru_right", "CategoryTheory.Subobject.factorThru_arrow", "CategoryTheory.Subobject.factorThru_comp_arrow", "CategoryTheory.Subobject.factorThru_eq_zero", "CategoryTheory.Subobject.factorThru_right", "CategoryTheory.Subobject.factorThru_self", "CategoryTheory.Subobject.factorThru_zero", "CategoryTheory.Subobject.factors_add", "CategoryTheory.Subobject.factors_comp_arrow", "CategoryTheory.Subobject.factors_left_of_factors_add", "CategoryTheory.Subobject.factors_of_factors_right", "CategoryTheory.Subobject.factors_of_le", "CategoryTheory.Subobject.factors_right_of_factors_add", "CategoryTheory.Subobject.factors_right_of_inf_factors", "CategoryTheory.Subobject.factors_self", "CategoryTheory.Subobject.finset_inf_arrow_factors", "CategoryTheory.Subobject.finset_inf_factors", "CategoryTheory.Subobject.finset_sup_factors", "CategoryTheory.Subobject.ind", "CategoryTheory.Subobject.inf_arrow_factors_left", "CategoryTheory.Subobject.inf_arrow_factors_right", "CategoryTheory.Subobject.inf_def", "CategoryTheory.Subobject.inf_eq_map_pullback", "CategoryTheory.Subobject.inf_eq_map_pullback'", "CategoryTheory.Subobject.inf_factors", "CategoryTheory.Subobject.inf_map", "CategoryTheory.Subobject.inf_pullback", "CategoryTheory.Subobject.isIso_iff_mk_eq_top", "CategoryTheory.Subobject.leInfCone_\u03c0_app_none", "CategoryTheory.Subobject.le_mk_of_comm", "CategoryTheory.Subobject.le_of_comm", "CategoryTheory.Subobject.le_sInf", "CategoryTheory.Subobject.le_sSup", "CategoryTheory.Subobject.lower_iso", "CategoryTheory.Subobject.mapIsoToOrderIso_symm_apply", "CategoryTheory.Subobject.map_bot", "CategoryTheory.Subobject.map_comp", "CategoryTheory.Subobject.map_id", "CategoryTheory.Subobject.map_pullback", "CategoryTheory.Subobject.map_top", "CategoryTheory.Subobject.mk_arrow", "CategoryTheory.Subobject.mk_eq_bot_iff_zero", "CategoryTheory.Subobject.mk_eq_mk_of_comm", "CategoryTheory.Subobject.mk_eq_of_comm", "CategoryTheory.Subobject.mk_eq_top_of_isIso", "CategoryTheory.Subobject.mk_factors_iff", "CategoryTheory.Subobject.mk_le_mk_of_comm", "CategoryTheory.Subobject.mk_le_of_comm", "CategoryTheory.Subobject.nontrivial_of_not_isZero", "CategoryTheory.Subobject.ofLEMk_comp", "CategoryTheory.Subobject.ofLEMk_comp_ofMkLE", "CategoryTheory.Subobject.ofLEMk_comp_ofMkLEMk", "CategoryTheory.Subobject.ofLE_comp_ofLE", "CategoryTheory.Subobject.ofLE_comp_ofLEMk", "CategoryTheory.Subobject.ofLE_mk_le_mk_of_comm", "CategoryTheory.Subobject.ofLE_refl", "CategoryTheory.Subobject.ofMkLEMk_comp", "CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLE", "CategoryTheory.Subobject.ofMkLEMk_comp_ofMkLEMk", "CategoryTheory.Subobject.ofMkLEMk_refl", "CategoryTheory.Subobject.ofMkLE_arrow", "CategoryTheory.Subobject.ofMkLE_comp_ofLE", "CategoryTheory.Subobject.ofMkLE_comp_ofLEMk", "CategoryTheory.Subobject.prod_eq_inf", "CategoryTheory.Subobject.pullback_comp", "CategoryTheory.Subobject.pullback_id", "CategoryTheory.Subobject.pullback_map_self", "CategoryTheory.Subobject.pullback_self", "CategoryTheory.Subobject.pullback_top", "CategoryTheory.Subobject.representative_arrow", "CategoryTheory.Subobject.sInf_le", "CategoryTheory.Subobject.sSup_le", "CategoryTheory.Subobject.sup_factors_of_factors_left", "CategoryTheory.Subobject.sup_factors_of_factors_right", "CategoryTheory.Subobject.top_factors", "CategoryTheory.Subobject.underlyingIso_arrow", "CategoryTheory.Subobject.underlyingIso_inv_top_arrow", "CategoryTheory.Subobject.underlyingIso_top_hom", "CategoryTheory.Subobject.underlying_arrow", "CategoryTheory.Subobject.wideCospan_map_term", "CategoryTheory.Sum.swap_map_inl", "CategoryTheory.Sum.swap_map_inr", "CategoryTheory.Sum.swap_obj_inl", "CategoryTheory.SymmetricCategory.braiding_swap_eq_inv_braiding", "CategoryTheory.SymmetricCategory.reverseBraiding_eq", "CategoryTheory.ThinSkeleton.comp_toThinSkeleton", "CategoryTheory.ThinSkeleton.map_id_eq", "CategoryTheory.ThinSkeleton.map_iso_eq", "CategoryTheory.ThinSkeleton.thinSkeleton_isSkeleton", "CategoryTheory.Tor'_map_app'", "CategoryTheory.Triangulated.Localization.complete_distinguished_triangle_morphism", "CategoryTheory.Triangulated.Localization.distinguished_cocone_triangle", "CategoryTheory.Triangulated.Localization.isTriangulated", "CategoryTheory.Triangulated.Subcategory.W.mk", "CategoryTheory.Triangulated.Subcategory.W.mk'", "CategoryTheory.Triangulated.Subcategory.W.shift", "CategoryTheory.Triangulated.Subcategory.W.unshift", "CategoryTheory.Triangulated.Subcategory.W_iff'", "CategoryTheory.Triangulated.Subcategory.W_of_isIso", "CategoryTheory.Triangulated.Subcategory.ext\u2081'", "CategoryTheory.Triangulated.Subcategory.ext\u2082", "CategoryTheory.Triangulated.Subcategory.ext\u2083'", "CategoryTheory.Triangulated.Subcategory.isoClosure_W", "CategoryTheory.Triangulated.Subcategory.mem_W_iff_of_distinguished", "CategoryTheory.Triangulated.Subcategory.respectsIso_W", "CategoryTheory.Triangulated.Subcategory.smul_mem_W_iff", "CategoryTheory.Triangulated.TStructure.GE_antitone", "CategoryTheory.Triangulated.TStructure.LE_monotone", "CategoryTheory.Triangulated.TStructure.exists_triangle", "CategoryTheory.Triangulated.TStructure.mem_of_isGE", "CategoryTheory.Triangulated.TStructure.mem_of_isLE", "CategoryTheory.Triangulated.TStructure.predicateShift_GE", "CategoryTheory.Triangulated.TStructure.predicateShift_LE", "CategoryTheory.TwoSquare.CostructuredArrowDownwards.mk_surjective", "CategoryTheory.TwoSquare.GuitartExact.vComp'_iff_of_equivalences", "CategoryTheory.TwoSquare.GuitartExact.vComp_iff_of_equivalences", "CategoryTheory.TwoSquare.GuitartExact.whiskerVertical", "CategoryTheory.TwoSquare.GuitartExact.whiskerVertical_iff", "CategoryTheory.TwoSquare.StructuredArrowRightwards.mk_surjective", "CategoryTheory.TwoSquare.ext", "CategoryTheory.TwoSquare.guitartExact_iff_final", "CategoryTheory.TwoSquare.guitartExact_iff_isConnected_downwards", "CategoryTheory.TwoSquare.guitartExact_iff_isConnected_rightwards", "CategoryTheory.Under.comp_right", "CategoryTheory.Under.forget_map", "CategoryTheory.Under.forget_obj", "CategoryTheory.Under.map_map_right", "CategoryTheory.Under.map_obj_hom", "CategoryTheory.Under.map_obj_right", "CategoryTheory.Under.mono_iff_mono_right", "CategoryTheory.Under.mono_of_mono_right", "CategoryTheory.Under.mono_right_of_mono", "CategoryTheory.Under.under_left", "CategoryTheory.Under.w", "CategoryTheory.WithInitial.down_comp", "CategoryTheory.WithInitial.down_id", "CategoryTheory.WithInitial.liftStar_lift_map", "CategoryTheory.WithTerminal.down_comp", "CategoryTheory.WithTerminal.false_of_from_star", "CategoryTheory.WithTerminal.lift_map_liftStar", "CategoryTheory.Yoneda.fullyFaithful_preimage", "CategoryTheory.Yoneda.isIso", "CategoryTheory.Yoneda.obj_map_id", "CategoryTheory.Zag.refl", "CategoryTheory.Zigzag.of_hom", "CategoryTheory.Zigzag.of_hom_inv", "CategoryTheory.Zigzag.of_inv", "CategoryTheory.Zigzag.of_inv_hom", "CategoryTheory.Zigzag.of_inv_inv", "CategoryTheory.Zigzag.refl", "CategoryTheory.adhesive_of_preserves_and_reflects", "CategoryTheory.adhesive_of_reflective", "CategoryTheory.adjointSquareLift", "CategoryTheory.adjointTriangleLift", "CategoryTheory.any_functor_const_on_obj", "CategoryTheory.areEqualizedByLocalization_iff", "CategoryTheory.asIso_inv", "CategoryTheory.associativity_app", "CategoryTheory.associator_hom_apply", "CategoryTheory.associator_hom_apply_2_1", "CategoryTheory.associator_hom_apply_2_2", "CategoryTheory.associator_inv_apply", "CategoryTheory.associator_inv_apply_1_1", "CategoryTheory.associator_inv_apply_1_2", "CategoryTheory.associator_inv_apply_2", "CategoryTheory.associator_monoidal", "CategoryTheory.balanced_opposite", "CategoryTheory.bijection_natural", "CategoryTheory.bijection_symm_apply_id", "CategoryTheory.biproduct_\u03b9_comp_leftDistributor_hom", "CategoryTheory.biproduct_\u03b9_comp_leftDistributor_inv", "CategoryTheory.biproduct_\u03b9_comp_rightDistributor_hom", "CategoryTheory.biproduct_\u03b9_comp_rightDistributor_inv", "CategoryTheory.braiding_hom_apply", "CategoryTheory.braiding_inv_tensorUnit_left", "CategoryTheory.braiding_inv_tensorUnit_right", "CategoryTheory.braiding_leftUnitor", "CategoryTheory.braiding_leftUnitor_aux\u2081", "CategoryTheory.braiding_leftUnitor_aux\u2082", "CategoryTheory.braiding_rightUnitor", "CategoryTheory.braiding_rightUnitor_aux\u2081", "CategoryTheory.braiding_rightUnitor_aux\u2082", "CategoryTheory.braiding_tensorUnit_left", "CategoryTheory.braiding_tensorUnit_right", "CategoryTheory.cancel_epi", "CategoryTheory.cancel_epi_id", "CategoryTheory.cancel_mono", "CategoryTheory.cancel_mono_id", "CategoryTheory.cartesianClosedFunctorOfLeftAdjointPreservesBinaryProducts", "CategoryTheory.classifier_isSheaf", "CategoryTheory.coconeOfRepresentable_naturality", "CategoryTheory.coconeOfRepresentable_pt", "CategoryTheory.coconeOfRepresentable_\u03b9_app", "CategoryTheory.coe_comp", "CategoryTheory.coe_id", "CategoryTheory.coev_expComparison", "CategoryTheory.coevaluation_comp_leftAdjointMate", "CategoryTheory.coevaluation_comp_rightAdjointMate", "CategoryTheory.coherentTopology.coverPreserving", "CategoryTheory.coherentTopology.eq_induced", "CategoryTheory.coherentTopology.exists_effectiveEpiFamily_iff_mem_induced", "CategoryTheory.coherentTopology.isSheaf_yoneda_obj", "CategoryTheory.coherentTopology.mem_sieves_iff_hasEffectiveEpiFamily", "CategoryTheory.coherentTopology.mem_sieves_of_hasEffectiveEpiFamily", "CategoryTheory.coherentTopology.presheafIsLocallySurjective_iff", "CategoryTheory.coherentTopology.subcanonical", "CategoryTheory.cokernel.\u03c0_op", "CategoryTheory.cokernel.\u03c0_unop", "CategoryTheory.cokernel_zero_of_nonzero_to_simple", "CategoryTheory.comonadToFunctor_mapIso_comonad_iso_mk", "CategoryTheory.comp_apply", "CategoryTheory.comp_apply'", "CategoryTheory.comp_dite", "CategoryTheory.comp_eqToHom_iff", "CategoryTheory.comp_eq_zero_of_exact", "CategoryTheory.comp_eq_zero_of_image_eq_kernel", "CategoryTheory.comp_hom_eq_id", "CategoryTheory.comp_inv_eq_id", "CategoryTheory.comp_ite", "CategoryTheory.comp_leftAdjointMate", "CategoryTheory.comp_rightAdjointMate", "CategoryTheory.comp_toNatTrans", "CategoryTheory.compatiblePreservingOfDownwardsClosed", "CategoryTheory.compatiblePreservingOfFlat", "CategoryTheory.composePath_comp", "CategoryTheory.composePath_comp'", "CategoryTheory.composePath_id", "CategoryTheory.composePath_toPath", "CategoryTheory.congrArg_cast_hom_left", "CategoryTheory.congrArg_cast_hom_right", "CategoryTheory.congrArg_mpr_hom_left", "CategoryTheory.congrArg_mpr_hom_right", "CategoryTheory.congr_app", "CategoryTheory.congr_hom", "CategoryTheory.constant_of_preserves_morphisms", "CategoryTheory.corepresentable_of_natIso", "CategoryTheory.counit_obj_eq_map_counit", "CategoryTheory.coyonedaEquiv_apply", "CategoryTheory.coyonedaEquiv_comp", "CategoryTheory.coyonedaEquiv_coyoneda_map", "CategoryTheory.coyonedaEquiv_symm_app_apply", "CategoryTheory.coyonedaEquiv_symm_map", "CategoryTheory.coyonedaEvaluation_map_down", "CategoryTheory.coyonedaPairing_map", "CategoryTheory.dcongr_arg", "CategoryTheory.discreteSieve_mem", "CategoryTheory.dite_comp", "CategoryTheory.e_assoc", "CategoryTheory.e_assoc'", "CategoryTheory.e_comp_id", "CategoryTheory.effectiveEpiFamilyStructCompIso_aux", "CategoryTheory.effectiveEpiFamilyStructOfEffectiveEpiDesc_aux", "CategoryTheory.effectiveEpiFamilyStructOfEquivalence_aux", "CategoryTheory.effectiveEpiFamily_of_effectiveEpi_epi_comp", "CategoryTheory.effectiveEpi_desc_iff_effectiveEpiFamily", "CategoryTheory.effectiveEpi_iff_effectiveEpiFamily", "CategoryTheory.endofunctorMonoidalCategory_associator_hom_app", "CategoryTheory.endofunctorMonoidalCategory_leftUnitor_hom_app", "CategoryTheory.endofunctorMonoidalCategory_rightUnitor_hom_app", "CategoryTheory.endofunctorMonoidalCategory_tensorObj_map", "CategoryTheory.endofunctorMonoidalCategory_tensorUnit_map", "CategoryTheory.endofunctorMonoidalCategory_tensorUnit_obj", "CategoryTheory.endofunctorMonoidalCategory_whiskerLeft_app", "CategoryTheory.endofunctorMonoidalCategory_whiskerRight_app", "CategoryTheory.epi_comp", "CategoryTheory.epi_from_simple_zero_of_not_iso", "CategoryTheory.epi_iff_exact_zero_right", "CategoryTheory.epi_iff_inl_eq_inr", "CategoryTheory.epi_iff_isIso_inl", "CategoryTheory.epi_iff_isIso_inr", "CategoryTheory.epi_iff_isPushout", "CategoryTheory.epi_iff_surjective", "CategoryTheory.epi_iff_surjective_up_to_refinements", "CategoryTheory.epi_of_epi", "CategoryTheory.epi_of_epi_fac", "CategoryTheory.epi_of_nonzero_to_simple", "CategoryTheory.eqToHom_app", "CategoryTheory.eqToHom_comp_iff", "CategoryTheory.eqToHom_iso_hom_naturality", "CategoryTheory.eqToHom_map", "CategoryTheory.eqToHom_naturality", "CategoryTheory.eqToHom_op", "CategoryTheory.eqToHom_refl", "CategoryTheory.eqToHom_trans", "CategoryTheory.eqToHom_unop", "CategoryTheory.eqToIso.hom", "CategoryTheory.eqToIso.inv", "CategoryTheory.eqToIso_map", "CategoryTheory.eqToIso_map_trans", "CategoryTheory.eqToIso_refl", "CategoryTheory.eqToIso_trans", "CategoryTheory.eq_conj_eqToHom", "CategoryTheory.eq_of_comp_left_eq", "CategoryTheory.eq_of_comp_left_eq'", "CategoryTheory.eq_of_comp_right_eq", "CategoryTheory.eq_of_comp_right_eq'", "CategoryTheory.eq_of_inv_eq_inv", "CategoryTheory.eq_whisker", "CategoryTheory.eq_whisker'", "CategoryTheory.equivEssImageOfReflective_map_counitIso_app_hom", "CategoryTheory.equivEssImageOfReflective_map_counitIso_app_inv", "CategoryTheory.equiv_punit_iff_unique", "CategoryTheory.equiv_relation", "CategoryTheory.essentiallySmall_congr", "CategoryTheory.essentiallySmall_iff", "CategoryTheory.essentiallySmall_iff_of_thin", "CategoryTheory.essentiallySmall_monoOver_iff_small_subobject", "CategoryTheory.eval_map", "CategoryTheory.eval_typesGlue", "CategoryTheory.exact_comp_inv_hom_comp", "CategoryTheory.exact_comp_iso", "CategoryTheory.exact_comp_mono", "CategoryTheory.exact_comp_mono_iff", "CategoryTheory.exact_d_f", "CategoryTheory.exact_epi_comp", "CategoryTheory.exact_epi_zero", "CategoryTheory.exact_f_d", "CategoryTheory.exact_iff_shortComplex_exact", "CategoryTheory.exact_kernelSubobject_arrow", "CategoryTheory.exact_kernel_\u03b9", "CategoryTheory.exact_of_image_eq_kernel", "CategoryTheory.exact_zero_mono", "CategoryTheory.exists_simple_subobject", "CategoryTheory.exists_zigzag'", "CategoryTheory.expComparison_ev", "CategoryTheory.expComparison_iso_of_frobeniusMorphism_iso", "CategoryTheory.expComparison_whiskerLeft", "CategoryTheory.extensiveTopology.isLocallySurjective_iff", "CategoryTheory.extensiveTopology.isSheaf_yoneda_obj", "CategoryTheory.extensiveTopology.mem_sieves_iff_contains_colimit_cofan", "CategoryTheory.extensiveTopology.presheafIsLocallySurjective_iff", "CategoryTheory.extensiveTopology.subcanonical", "CategoryTheory.extensiveTopology.surjective_of_isLocallySurjective_sheafOfTypes", "CategoryTheory.extensive_regular_generate_coherent", "CategoryTheory.factorThruImage_comp_imageUnopOp_inv", "CategoryTheory.final_toCostructuredArrow_comp_pre", "CategoryTheory.finallySmall_iff_exists_small_weakly_terminal_set", "CategoryTheory.finallySmall_of_small_weakly_terminal_set", "CategoryTheory.finitaryExtensive_iff_of_isTerminal", "CategoryTheory.finitaryExtensive_of_preserves_and_reflects", "CategoryTheory.finitaryExtensive_of_preserves_and_reflects_isomorphism", "CategoryTheory.finitaryExtensive_of_reflective", "CategoryTheory.finrank_endomorphism_eq_one", "CategoryTheory.finrank_endomorphism_simple_eq_one", "CategoryTheory.finrank_hom_simple_simple_eq_one_iff", "CategoryTheory.finrank_hom_simple_simple_eq_zero_iff", "CategoryTheory.finrank_hom_simple_simple_eq_zero_of_not_iso", "CategoryTheory.finrank_hom_simple_simple_le_one", "CategoryTheory.flat_iff_lan_flat", "CategoryTheory.flat_of_preservesFiniteLimits", "CategoryTheory.forgetEnrichment_comp", "CategoryTheory.forgetEnrichment_id", "CategoryTheory.forget_map_eq_coe", "CategoryTheory.forget\u2082_comp_apply", "CategoryTheory.frobeniusMorphism_iso_of_expComparison_iso", "CategoryTheory.frobeniusMorphism_mate", "CategoryTheory.fullSubcategoryInclusion.obj", "CategoryTheory.fullSubcategoryInclusion_map_lift_map", "CategoryTheory.fullSubcategoryInclusion_obj_lift_obj", "CategoryTheory.generate_discretePresieve_mem", "CategoryTheory.groupoid_of_isCodetecting_empty", "CategoryTheory.hasColimit_of_created", "CategoryTheory.hasColimitsOfShape_of_reflective", "CategoryTheory.hasColimits_of_reflective", "CategoryTheory.hasCoproduct_fin", "CategoryTheory.hasFiniteCoproducts_of_has_binary_and_initial", "CategoryTheory.hasFiniteProducts_of_has_binary_and_terminal", "CategoryTheory.hasInitial_of_isCoseparating", "CategoryTheory.hasInitial_of_weakly_initial_and_hasWideEqualizers", "CategoryTheory.hasLimit_of_created", "CategoryTheory.hasLimit_of_reflective", "CategoryTheory.hasLimits_of_hasLimits_createsLimits", "CategoryTheory.hasLimits_of_reflective", "CategoryTheory.hasProduct_fin", "CategoryTheory.hasStrictInitial_of_isUniversal", "CategoryTheory.hasTerminal_of_equivalence", "CategoryTheory.hasTerminal_of_isSeparating", "CategoryTheory.has_weakly_initial_of_weakly_initial_set_and_hasProducts", "CategoryTheory.homOfElement_eq_iff", "CategoryTheory.homOfLE_comp", "CategoryTheory.homOfLE_leOfHom", "CategoryTheory.homOfLE_refl", "CategoryTheory.hom_inl_inr_false", "CategoryTheory.hom_inr_inl_false", "CategoryTheory.hom_inv_id_apply", "CategoryTheory.id_nonzero", "CategoryTheory.ihom.coev_naturality", "CategoryTheory.ihom.ev_coev", "CategoryTheory.ihom.ihom_adjunction_unit", "CategoryTheory.imageToKernel_isIso_of_image_eq_kernel", "CategoryTheory.imageUnopOp_hom_comp_image_\u03b9", "CategoryTheory.imageUnopOp_inv_comp_op_factorThruImage", "CategoryTheory.image_\u03b9_op_comp_imageUnopOp_hom", "CategoryTheory.indecomposable_of_simple", "CategoryTheory.induct_on_objects", "CategoryTheory.initiallySmall_iff_exists_small_weakly_initial_set", "CategoryTheory.initiallySmall_of_essentiallySmall", "CategoryTheory.initiallySmall_of_initial_of_essentiallySmall", "CategoryTheory.initiallySmall_of_initial_of_initiallySmall", "CategoryTheory.initiallySmall_of_small_weakly_initial_set", "CategoryTheory.injective_of_preservesFiniteColimits_preadditiveYonedaObj", "CategoryTheory.inv_comp_eq_id", "CategoryTheory.inv_hom_id_apply", "CategoryTheory.isCodetecting_empty_of_groupoid", "CategoryTheory.isCodetecting_iff_isCoseparating", "CategoryTheory.isCodetecting_op_iff", "CategoryTheory.isCodetecting_unop_iff", "CategoryTheory.isCodetector_def", "CategoryTheory.isCodetector_iff_reflectsIsomorphisms_yoneda_obj", "CategoryTheory.isCodetector_op_iff", "CategoryTheory.isCodetector_unop_iff", "CategoryTheory.isCofilteredOrEmpty_of_isFilteredOrEmpty_op", "CategoryTheory.isCofiltered_costructuredArrow_of_isCofiltered_of_exists", "CategoryTheory.isConnected_of_equivalent", "CategoryTheory.isConnected_of_isConnected_op", "CategoryTheory.isConnected_of_zigzag", "CategoryTheory.isCoseparating_iff_mono", "CategoryTheory.isCoseparating_op_iff", "CategoryTheory.isCoseparating_unop_iff", "CategoryTheory.isCoseparator_def", "CategoryTheory.isCoseparator_iff_faithful_preadditiveYoneda", "CategoryTheory.isCoseparator_iff_faithful_preadditiveYonedaObj", "CategoryTheory.isCoseparator_iff_faithful_yoneda_obj", "CategoryTheory.isCoseparator_iff_mono", "CategoryTheory.isCoseparator_op_iff", "CategoryTheory.isCoseparator_pi", "CategoryTheory.isCoseparator_pi_of_isCoseparator", "CategoryTheory.isCoseparator_prod", "CategoryTheory.isCoseparator_prod_of_isCoseparator_left", "CategoryTheory.isCoseparator_prod_of_isCoseparator_right", "CategoryTheory.isCoseparator_unop_iff", "CategoryTheory.isDetecting_empty_of_groupoid", "CategoryTheory.isDetecting_op_iff", "CategoryTheory.isDetecting_unop_iff", "CategoryTheory.isDetector_def", "CategoryTheory.isDetector_iff_reflectsIsomorphisms_coyoneda_obj", "CategoryTheory.isDetector_op_iff", "CategoryTheory.isDetector_unop_iff", "CategoryTheory.isFilteredOrEmpty_of_isCofilteredOrEmpty_op", "CategoryTheory.isFiltered_structuredArrow_of_isFiltered_of_exists", "CategoryTheory.isIso_iff_bijective", "CategoryTheory.isIso_iff_mono_and_epi", "CategoryTheory.isIso_iff_nonzero", "CategoryTheory.isIso_iff_of_reflects_iso", "CategoryTheory.isIso_left_of_isIso_biprod_map", "CategoryTheory.isIso_of_coyoneda_map_bijective", "CategoryTheory.isIso_of_epi_of_isSplitMono", "CategoryTheory.isIso_of_epi_of_nonzero", "CategoryTheory.isIso_of_epi_of_strongMono", "CategoryTheory.isIso_of_fully_faithful", "CategoryTheory.isIso_of_hom_comp_eq_id", "CategoryTheory.isIso_of_hom_simple", "CategoryTheory.isIso_of_mono_of_epi", "CategoryTheory.isIso_of_mono_of_isSplitEpi", "CategoryTheory.isIso_of_mono_of_nonzero", "CategoryTheory.isIso_of_mono_of_strongEpi", "CategoryTheory.isIso_of_op", "CategoryTheory.isIso_of_reflects_iso", "CategoryTheory.isIso_of_regularEpi_of_mono", "CategoryTheory.isIso_of_yoneda_map_bijective", "CategoryTheory.isIso_op_iff", "CategoryTheory.isIso_pi_iff", "CategoryTheory.isIso_prod_iff", "CategoryTheory.isIso_right_of_isIso_biprod_map", "CategoryTheory.isIso_toSheafify", "CategoryTheory.isIso_unop_iff", "CategoryTheory.isLeftAdjoint_of_costructuredArrowTerminals", "CategoryTheory.isLeftAdjoint_of_preservesColimits_of_isSeparating", "CategoryTheory.isPreconnected_iff_of_equivalence", "CategoryTheory.isPreconnected_induction", "CategoryTheory.isPreconnected_of_equivalent", "CategoryTheory.isPreconnected_of_isPreconnected_op", "CategoryTheory.isPreconnected_of_zigzag", "CategoryTheory.isPreconnected_zigzag", "CategoryTheory.isPullback_initial_to_of_cofan_isVanKampen", "CategoryTheory.isPullback_of_cofan_isVanKampen", "CategoryTheory.isRightAdjoint_of_preservesLimits_of_isCoseparating", "CategoryTheory.isRightAdjoint_of_preservesLimits_of_solutionSetCondition", "CategoryTheory.isSeparating_empty_of_thin", "CategoryTheory.isSeparating_iff_epi", "CategoryTheory.isSeparating_op_iff", "CategoryTheory.isSeparating_unop_iff", "CategoryTheory.isSeparator_coprod", "CategoryTheory.isSeparator_coprod_of_isSeparator_right", "CategoryTheory.isSeparator_def", "CategoryTheory.isSeparator_iff_epi", "CategoryTheory.isSeparator_iff_faithful_preadditiveCoyoneda", "CategoryTheory.isSeparator_iff_faithful_preadditiveCoyonedaObj", "CategoryTheory.isSeparator_op_iff", "CategoryTheory.isSeparator_sigma", "CategoryTheory.isSeparator_unop_iff", "CategoryTheory.isSheafFor_extensive_of_preservesFiniteProducts", "CategoryTheory.isSheaf_coherent", "CategoryTheory.isSheaf_iff_isSheaf_of_type", "CategoryTheory.isSheaf_yoneda'", "CategoryTheory.isSubterminal_of_isIso_diag", "CategoryTheory.isSubterminal_of_isTerminal", "CategoryTheory.isSubterminal_of_mono_isTerminal_from", "CategoryTheory.isSubterminal_of_mono_terminal_from", "CategoryTheory.isSubterminal_of_terminal", "CategoryTheory.isTriangulated_of_essSurj_mapComposableArrows_two", "CategoryTheory.isUniversalColimit_extendCofan", "CategoryTheory.isVanKampenColimit_extendCofan", "CategoryTheory.isVanKampenColimit_of_evaluation", "CategoryTheory.isVanKampenColimit_of_isEmpty", "CategoryTheory.isZero_Tor_succ_of_projective", "CategoryTheory.is_coprod_iff_isPushout", "CategoryTheory.isoClosure_eq_self", "CategoryTheory.isoClosure_le_iff", "CategoryTheory.isoSheafify_hom", "CategoryTheory.isoSheafify_inv", "CategoryTheory.ite_comp", "CategoryTheory.kernel.\u03b9_unop", "CategoryTheory.kernelSubobject_arrow_eq_zero_of_exact_zero_left", "CategoryTheory.kernel_comp_cokernel", "CategoryTheory.kernel_zero_of_nonzero_from_simple", "CategoryTheory.kernel_\u03b9_eq_zero_of_exact_zero_left", "CategoryTheory.leOfHom", "CategoryTheory.leOfHom_homOfLE", "CategoryTheory.le_topology_of_closedSieves_isSheaf", "CategoryTheory.leftAdjointMate_comp", "CategoryTheory.leftAdjointMate_comp_evaluation", "CategoryTheory.leftAdjointMate_id", "CategoryTheory.leftDistributor_assoc", "CategoryTheory.leftDistributor_ext_left", "CategoryTheory.leftDistributor_ext_right", "CategoryTheory.leftDistributor_ext\u2082_left", "CategoryTheory.leftDistributor_ext\u2082_right", "CategoryTheory.leftDistributor_hom", "CategoryTheory.leftDistributor_hom_comp_biproduct_\u03c0", "CategoryTheory.leftDistributor_inv", "CategoryTheory.leftDistributor_inv_comp_biproduct_\u03c0", "CategoryTheory.leftDistributor_rightDistributor_assoc", "CategoryTheory.leftDualIso_id", "CategoryTheory.leftUnitor_hom_apply", "CategoryTheory.leftUnitor_inv_apply", "CategoryTheory.leftUnitor_inv_braiding", "CategoryTheory.leftUnitor_monoidal", "CategoryTheory.left_comp_retraction", "CategoryTheory.left_unitality_app", "CategoryTheory.locallySmall_of_faithful", "CategoryTheory.map'_as_map", "CategoryTheory.mapPair_equifibered", "CategoryTheory.map_functorial_obj", "CategoryTheory.mem_essImage_of_counit_isSplitEpi", "CategoryTheory.mem_essImage_of_unit_isSplitMono", "CategoryTheory.mem_iff_of_isIso", "CategoryTheory.mem_iff_of_iso", "CategoryTheory.mem_of_isIso", "CategoryTheory.monadToFunctor_mapIso_monad_iso_mk", "CategoryTheory.monadicAdjointTriangleLift", "CategoryTheory.monoOver_terminal_to_subterminals_comp", "CategoryTheory.mono_comp", "CategoryTheory.mono_iff_fst_eq_snd", "CategoryTheory.mono_iff_injective", "CategoryTheory.mono_iff_isIso_fst", "CategoryTheory.mono_iff_isIso_snd", "CategoryTheory.mono_iff_isPullback", "CategoryTheory.mono_of_cofan_isVanKampen", "CategoryTheory.mono_of_mono", "CategoryTheory.mono_of_mono_fac", "CategoryTheory.mono_of_nonzero_from_simple", "CategoryTheory.mono_to_simple_zero_of_not_iso", "CategoryTheory.monoidalComp_refl", "CategoryTheory.monoidalOfHasFiniteCoproducts.associator_hom", "CategoryTheory.monoidalOfHasFiniteCoproducts.associator_inv", "CategoryTheory.monoidalOfHasFiniteCoproducts.leftUnitor_hom", "CategoryTheory.monoidalOfHasFiniteCoproducts.leftUnitor_inv", "CategoryTheory.monoidalOfHasFiniteCoproducts.rightUnitor_hom", "CategoryTheory.monoidalOfHasFiniteCoproducts.rightUnitor_inv", "CategoryTheory.monoidalOfHasFiniteCoproducts.whiskerLeft", "CategoryTheory.monoidalOfHasFiniteCoproducts.whiskerRight", "CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_fst_fst", "CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_fst_snd", "CategoryTheory.monoidalOfHasFiniteProducts.associator_inv_snd", "CategoryTheory.monoidalOfHasFiniteProducts.leftUnitor_hom", "CategoryTheory.monoidalOfHasFiniteProducts.leftUnitor_inv", "CategoryTheory.monoidalOfHasFiniteProducts.rightUnitor_hom", "CategoryTheory.monoidalOfHasFiniteProducts.rightUnitor_inv", "CategoryTheory.monoidalOfHasFiniteProducts.tensorObj", "CategoryTheory.monoidalOfHasFiniteProducts.tensorUnit", "CategoryTheory.monoidalOfHasFiniteProducts.unit_ext", "CategoryTheory.monoidalOfHasFiniteProducts.whiskerRight", "CategoryTheory.monoidalPreadditive_of_faithful", "CategoryTheory.mop_associator", "CategoryTheory.mop_hom_associator", "CategoryTheory.mop_hom_rightUnitor", "CategoryTheory.mop_inv_associator", "CategoryTheory.mop_inv_leftUnitor", "CategoryTheory.mop_inv_rightUnitor", "CategoryTheory.mop_leftUnitor", "CategoryTheory.mop_rightUnitor", "CategoryTheory.mop_tensorHom", "CategoryTheory.mop_tensorObj", "CategoryTheory.mop_tensorUnit", "CategoryTheory.mop_whiskerLeft", "CategoryTheory.mop_whiskerRight", "CategoryTheory.nat_trans_from_is_connected", "CategoryTheory.nonempty_hom_of_preconnected_groupoid", "CategoryTheory.objDown_objUp", "CategoryTheory.objUp_objDown", "CategoryTheory.obj_zero_map_\u03bc_app", "CategoryTheory.obj_\u03b5_app", "CategoryTheory.obj_\u03b5_inv_app", "CategoryTheory.obj_\u03bc_inv_app", "CategoryTheory.obj_\u03bc_zero_app", "CategoryTheory.ofTypeFunctor_obj", "CategoryTheory.op_add", "CategoryTheory.op_associator", "CategoryTheory.op_braiding", "CategoryTheory.op_comp", "CategoryTheory.op_hom_leftUnitor", "CategoryTheory.op_hom_rightUnitor", "CategoryTheory.op_id", "CategoryTheory.op_id_unop", "CategoryTheory.op_inv", "CategoryTheory.op_inv_associator", "CategoryTheory.op_inv_braiding", "CategoryTheory.op_inv_leftUnitor", "CategoryTheory.op_leftUnitor", "CategoryTheory.op_neg", "CategoryTheory.op_rightUnitor", "CategoryTheory.op_sum", "CategoryTheory.op_tensorHom", "CategoryTheory.op_tensorObj", "CategoryTheory.op_tensorUnit", "CategoryTheory.op_tensor_op", "CategoryTheory.op_whiskerLeft", "CategoryTheory.op_whiskerRight", "CategoryTheory.op_zsmul", "CategoryTheory.oppositeShiftFunctorAdd'_hom_app", "CategoryTheory.oppositeShiftFunctorAdd'_inv_app", "CategoryTheory.oppositeShiftFunctorAdd_hom_app", "CategoryTheory.oppositeShiftFunctorAdd_inv_app", "CategoryTheory.oppositeShiftFunctorZero_hom_app", "CategoryTheory.oppositeShiftFunctorZero_inv_app", "CategoryTheory.over_forget_locallyCoverDense", "CategoryTheory.pre_id", "CategoryTheory.pre_map", "CategoryTheory.predicateShift_iff", "CategoryTheory.predicateShift_predicateShift", "CategoryTheory.predicateShift_zero", "CategoryTheory.preservesLimitsIso_inv_\u03c0", "CategoryTheory.preserves_desc_mapCocone", "CategoryTheory.preserves_epi_of_preservesColimit", "CategoryTheory.preserves_mono_of_preservesLimit", "CategoryTheory.presheafHom_isSheafFor", "CategoryTheory.presheafHom_map_app", "CategoryTheory.presheafHom_map_app_op_mk_id", "CategoryTheory.prodComparison_iso", "CategoryTheory.prod_comp", "CategoryTheory.prod_map_pre_app_comp_ev", "CategoryTheory.projective_of_preservesFiniteColimits_preadditiveCoyonedaObj", "CategoryTheory.pullbackShiftFunctorAdd'_hom_app", "CategoryTheory.pullbackShiftFunctorAdd'_inv_app", "CategoryTheory.pullbackShiftFunctorZero_hom_app", "CategoryTheory.pullbackShiftFunctorZero_inv_app", "CategoryTheory.ran_isSheaf_of_isCocontinuous", "CategoryTheory.reflective_products", "CategoryTheory.reflectsIsomorphisms_forget\u2082", "CategoryTheory.reflectsIsomorphisms_of_comp", "CategoryTheory.reflects_epi_of_reflectsColimit", "CategoryTheory.reflects_mono_of_reflectsLimit", "CategoryTheory.regularTopology.EqualizerCondition.bijective_mapToEqualizer_pullback", "CategoryTheory.regularTopology.EqualizerCondition.mk", "CategoryTheory.regularTopology.coverPreserving", "CategoryTheory.regularTopology.eq_induced", "CategoryTheory.regularTopology.equalizerConditionMap_iff_nonempty_isLimit", "CategoryTheory.regularTopology.equalizerCondition_iff_isIso_lift", "CategoryTheory.regularTopology.equalizerCondition_iff_isSheaf", "CategoryTheory.regularTopology.equalizerCondition_iff_of_equivalence", "CategoryTheory.regularTopology.equalizerCondition_of_natIso", "CategoryTheory.regularTopology.equalizerCondition_precomp_of_preservesPullback", "CategoryTheory.regularTopology.equalizerCondition_w", "CategoryTheory.regularTopology.equalizerCondition_w'", "CategoryTheory.regularTopology.exists_effectiveEpi_iff_mem_induced", "CategoryTheory.regularTopology.isLocallySurjective_iff", "CategoryTheory.regularTopology.isLocallySurjective_sheafOfTypes", "CategoryTheory.regularTopology.isSheafFor_regular_of_projective", "CategoryTheory.regularTopology.isSheaf_of_projective", "CategoryTheory.regularTopology.isSheaf_yoneda_obj", "CategoryTheory.regularTopology.mapToEqualizer_eq_comp", "CategoryTheory.regularTopology.mem_sieves_iff_hasEffectiveEpi", "CategoryTheory.regularTopology.mem_sieves_of_hasEffectiveEpi", "CategoryTheory.regularTopology.parallelPair_pullback_initial", "CategoryTheory.regularTopology.subcanonical", "CategoryTheory.representable_of_natIso", "CategoryTheory.rightAdjointMate_comp", "CategoryTheory.rightAdjointMate_id", "CategoryTheory.rightDistributor_assoc", "CategoryTheory.rightDistributor_ext_left", "CategoryTheory.rightDistributor_ext_right", "CategoryTheory.rightDistributor_ext\u2082_left", "CategoryTheory.rightDistributor_ext\u2082_right", "CategoryTheory.rightDistributor_hom", "CategoryTheory.rightDistributor_hom_comp_biproduct_\u03c0", "CategoryTheory.rightDistributor_inv", "CategoryTheory.rightDistributor_inv_comp_biproduct_\u03c0", "CategoryTheory.rightDualIso_id", "CategoryTheory.rightDual_leftDual", "CategoryTheory.rightUnitor_hom_apply", "CategoryTheory.rightUnitor_inv_braiding", "CategoryTheory.rightUnitor_monoidal", "CategoryTheory.right_unitality_app", "CategoryTheory.section_comp_left", "CategoryTheory.section_comp_right", "CategoryTheory.sheafComposeIso_hom_fac", "CategoryTheory.sheafComposeIso_inv_fac", "CategoryTheory.sheafComposeNatTrans_app_uniq", "CategoryTheory.sheafComposeNatTrans_fac", "CategoryTheory.sheafCompose_comp", "CategoryTheory.sheafCompose_id", "CategoryTheory.sheafificationAdjunction_counit_app_val", "CategoryTheory.sheafificationAdjunction_unit_app", "CategoryTheory.sheafification_obj", "CategoryTheory.sheafifyLift_unique", "CategoryTheory.sheafifyMap_comp", "CategoryTheory.sheafifyMap_id", "CategoryTheory.sheafifyMap_sheafifyLift", "CategoryTheory.sheafify_hom_ext", "CategoryTheory.shiftComm'", "CategoryTheory.shiftComm_hom_comp", "CategoryTheory.shiftComm_symm", "CategoryTheory.shiftFunctorAdd'_add_zero", "CategoryTheory.shiftFunctorAdd'_add_zero_hom_app", "CategoryTheory.shiftFunctorAdd'_add_zero_inv_app", "CategoryTheory.shiftFunctorAdd'_assoc", "CategoryTheory.shiftFunctorAdd'_assoc_hom_app", "CategoryTheory.shiftFunctorAdd'_assoc_inv_app", "CategoryTheory.shiftFunctorAdd'_eq_shiftFunctorAdd", "CategoryTheory.shiftFunctorAdd'_zero_add", "CategoryTheory.shiftFunctorAdd'_zero_add_hom_app", "CategoryTheory.shiftFunctorAdd'_zero_add_inv_app", "CategoryTheory.shiftFunctorAdd_add_zero_hom_app", "CategoryTheory.shiftFunctorAdd_add_zero_inv_app", "CategoryTheory.shiftFunctorAdd_assoc", "CategoryTheory.shiftFunctorAdd_assoc_hom_app", "CategoryTheory.shiftFunctorAdd_assoc_inv_app", "CategoryTheory.shiftFunctorAdd_hom_app_obj_of_induced", "CategoryTheory.shiftFunctorAdd_inv_app_obj_of_induced", "CategoryTheory.shiftFunctorAdd_zero_add_hom_app", "CategoryTheory.shiftFunctorAdd_zero_add_inv_app", "CategoryTheory.shiftFunctorComm_eq", "CategoryTheory.shiftFunctorComm_eq_refl", "CategoryTheory.shiftFunctorComm_hom_app_comp_shift_shiftFunctorAdd_hom_app", "CategoryTheory.shiftFunctorComm_symm", "CategoryTheory.shiftFunctorComm_zero_hom_app", "CategoryTheory.shiftFunctorZero_hom_app_obj_of_induced", "CategoryTheory.shiftFunctorZero_hom_app_shift", "CategoryTheory.shiftFunctorZero_inv_app_obj_of_induced", "CategoryTheory.shiftFunctorZero_inv_app_shift", "CategoryTheory.shiftFunctor_of_induced", "CategoryTheory.shiftZero'", "CategoryTheory.shift_equiv_triangle", "CategoryTheory.shift_neg_shift'", "CategoryTheory.shift_shift'", "CategoryTheory.shift_shiftFunctorCompIsoId_add_neg_self_hom_app", "CategoryTheory.shift_shiftFunctorCompIsoId_hom_app", "CategoryTheory.shift_shiftFunctorCompIsoId_inv_app", "CategoryTheory.shift_shiftFunctorCompIsoId_neg_add_self_hom_app", "CategoryTheory.shift_zero_eq_zero", "CategoryTheory.simple_iff_subobject_isSimpleOrder", "CategoryTheory.simple_of_cosimple", "CategoryTheory.simple_of_isSimpleOrder_subobject", "CategoryTheory.skeleton_skeletal", "CategoryTheory.solutionSetCondition_of_isRightAdjoint", "CategoryTheory.strict_initial", "CategoryTheory.strongEpi_of_epi", "CategoryTheory.strongEpi_of_strongEpi", "CategoryTheory.strongMono_comp", "CategoryTheory.strongMono_of_strongMono", "CategoryTheory.subcanonical_typesGrothendieckTopology", "CategoryTheory.subobject_simple_iff_isAtom", "CategoryTheory.subterminals_to_monoOver_terminal_comp_forget", "CategoryTheory.sum.associator_map_inl_inr", "CategoryTheory.sum.associator_map_inr", "CategoryTheory.sum.inverseAssociator_map_inl", "CategoryTheory.sum.inverseAssociator_map_inr_inr", "CategoryTheory.sum.inverseAssociator_obj_inl", "CategoryTheory.sum.inverseAssociator_obj_inr_inr", "CategoryTheory.sum_comp_inr", "CategoryTheory.sum_tensor", "CategoryTheory.sum_whiskerRight", "CategoryTheory.surjective_up_to_refinements_of_epi", "CategoryTheory.tensorLeftHomEquiv_symm_coevaluation_comp_whiskerLeft", "CategoryTheory.tensorLeftHomEquiv_symm_coevaluation_comp_whiskerRight", "CategoryTheory.tensorLeftHomEquiv_symm_naturality", "CategoryTheory.tensorLeftHomEquiv_tensor", "CategoryTheory.tensorLeftHomEquiv_whiskerLeft_comp_evaluation", "CategoryTheory.tensorLeftHomEquiv_whiskerRight_comp_evaluation", "CategoryTheory.tensorRightHomEquiv_symm_coevaluation_comp_whiskerLeft", "CategoryTheory.tensorRightHomEquiv_symm_coevaluation_comp_whiskerRight", "CategoryTheory.tensorRightHomEquiv_symm_naturality", "CategoryTheory.tensorRightHomEquiv_tensor", "CategoryTheory.tensorRightHomEquiv_whiskerRight_comp_evaluation", "CategoryTheory.tensor_associativity", "CategoryTheory.tensor_left_unitality", "CategoryTheory.tensor_right_unitality", "CategoryTheory.tensor_sum", "CategoryTheory.tensor_\u03bc_natural", "CategoryTheory.tensor_\u03bc_natural_left", "CategoryTheory.tensor_\u03bc_natural_right", "CategoryTheory.thin_of_isCoseparating_empty", "CategoryTheory.thin_of_isSeparating_empty", "CategoryTheory.toSheafification_app", "CategoryTheory.toSheafify_naturality", "CategoryTheory.toSheafify_plusPlusIsoSheafify_hom", "CategoryTheory.toSheafify_sheafifyLift", "CategoryTheory.topologyOfClosureOperator_close", "CategoryTheory.topology_eq_iff_same_sheaves", "CategoryTheory.transferNatTransSelf_adjunction_id", "CategoryTheory.transferNatTransSelf_adjunction_id_symm", "CategoryTheory.transferNatTransSelf_comm", "CategoryTheory.transferNatTransSelf_comp", "CategoryTheory.transferNatTransSelf_counit", "CategoryTheory.transferNatTransSelf_id", "CategoryTheory.transferNatTransSelf_of_iso", "CategoryTheory.transferNatTransSelf_symm_comm", "CategoryTheory.transferNatTransSelf_symm_comp", "CategoryTheory.transferNatTransSelf_symm_id", "CategoryTheory.transferNatTransSelf_symm_of_iso", "CategoryTheory.transferNatTrans_counit", "CategoryTheory.typesGlue_eval", "CategoryTheory.typesGrothendieckTopology_eq_canonical", "CategoryTheory.types_comp", "CategoryTheory.types_comp_apply", "CategoryTheory.types_id_apply", "CategoryTheory.uliftFunctor_map", "CategoryTheory.uliftFunctor_obj", "CategoryTheory.uncurry_expComparison", "CategoryTheory.uncurry_pre", "CategoryTheory.unitCompPartialBijectiveAux_symm_apply", "CategoryTheory.unitCompPartialBijective_natural", "CategoryTheory.unitCompPartialBijective_symm_natural", "CategoryTheory.unit_obj_eq_map_unit", "CategoryTheory.unit_transferNatTrans", "CategoryTheory.unit_transferNatTransSelf", "CategoryTheory.unmop_associator", "CategoryTheory.unmop_comp", "CategoryTheory.unmop_hom_associator", "CategoryTheory.unmop_hom_leftUnitor", "CategoryTheory.unmop_id", "CategoryTheory.unmop_inv_associator", "CategoryTheory.unmop_inv_rightUnitor", "CategoryTheory.unmop_leftUnitor", "CategoryTheory.unmop_tensorObj", "CategoryTheory.unop_associator", "CategoryTheory.unop_braiding", "CategoryTheory.unop_comp", "CategoryTheory.unop_hom_associator", "CategoryTheory.unop_hom_leftUnitor", "CategoryTheory.unop_id", "CategoryTheory.unop_id_op", "CategoryTheory.unop_inv", "CategoryTheory.unop_inv_associator", "CategoryTheory.unop_inv_braiding", "CategoryTheory.unop_leftUnitor", "CategoryTheory.unop_neg", "CategoryTheory.unop_sum", "CategoryTheory.unop_tensorHom", "CategoryTheory.unop_tensorUnit", "CategoryTheory.unop_tensor_unop", "CategoryTheory.unop_whiskerLeft", "CategoryTheory.wellPowered_congr", "CategoryTheory.wellPowered_of_equiv", "CategoryTheory.wellPowered_of_essentiallySmall_monoOver", "CategoryTheory.wellPowered_of_isDetecting", "CategoryTheory.wellPowered_of_isDetector", "CategoryTheory.whiskerLeft_apply", "CategoryTheory.whiskerLeft_id", "CategoryTheory.whiskerLeft_id'", "CategoryTheory.whiskerRight_apply", "CategoryTheory.whiskerRight_comp", "CategoryTheory.whiskerRight_id", "CategoryTheory.whiskerRight_id'", "CategoryTheory.whiskerRight_left", "CategoryTheory.whiskerRight_twice", "CategoryTheory.whiskering_linearYoneda\u2082", "CategoryTheory.whiskering_preadditiveYoneda", "CategoryTheory.yoneda'_comp", "CategoryTheory.yonedaEquiv_naturality", "CategoryTheory.yonedaEquiv_symm_app_apply", "CategoryTheory.yonedaEquiv_symm_map", "CategoryTheory.yonedaPairingExt", "CategoryTheory.yonedaPairing_map", "CategoryTheory.zag_symmetric", "CategoryTheory.zero_map", "CategoryTheory.zigzag_equivalence", "CategoryTheory.zigzag_isConnected", "CategoryTheory.zigzag_isPreconnected", "CategoryTheory.zigzag_obj_of_zigzag", "CategoryTheory.\u03b5_app_obj", "CategoryTheory.\u03b5_hom_inv_app", "CategoryTheory.\u03b5_inv_app_obj", "CategoryTheory.\u03b5_inv_hom_app", "CategoryTheory.\u03b5_naturality", "CategoryTheory.\u03bc_inv_naturality\u1d63", "CategoryTheory.\u03bc_inv_naturality\u2097", "CategoryTheory.\u03bc_naturality", "CategoryTheory.\u03bc_naturality\u1d63", "CategoryTheory.\u03bc_naturality\u2097", "CauSeq.Completion.cau_seq_zero_ne_one", "CauSeq.Completion.inv_mk", "CauSeq.Completion.inv_mul_cancel", "CauSeq.Completion.inv_zero", "CauSeq.Completion.mk_eq_mk", "CauSeq.Completion.mk_eq_zero", "CauSeq.Completion.mk_mul", "CauSeq.Completion.mk_neg", "CauSeq.Completion.mk_pow", "CauSeq.Completion.mk_smul", "CauSeq.Completion.mul_inv_cancel", "CauSeq.Completion.ofRat_div", "CauSeq.Completion.ofRat_intCast", "CauSeq.Completion.ofRat_inv", "CauSeq.Completion.ofRat_mul", "CauSeq.Completion.ofRat_natCast", "CauSeq.Completion.ofRat_neg", "CauSeq.Completion.ofRat_nnratCast", "CauSeq.Completion.ofRat_one", "CauSeq.Completion.ofRat_ratCast", "CauSeq.Completion.ofRat_sub", "CauSeq.Completion.zero_ne_one", "CauSeq.abv_pos_of_not_limZero", "CauSeq.add_apply", "CauSeq.add_equiv_add", "CauSeq.add_limZero", "CauSeq.add_pos", "CauSeq.bounded'", "CauSeq.cauchy", "CauSeq.cauchySeq", "CauSeq.cauchy\u2082", "CauSeq.cauchy\u2083", "CauSeq.coe_add", "CauSeq.coe_const", "CauSeq.coe_inf", "CauSeq.coe_inv", "CauSeq.coe_neg", "CauSeq.coe_one", "CauSeq.coe_pow", "CauSeq.coe_smul", "CauSeq.coe_sub", "CauSeq.coe_sup", "CauSeq.const_add", "CauSeq.const_apply", "CauSeq.const_equiv", "CauSeq.const_inv", "CauSeq.const_le", "CauSeq.const_limZero", "CauSeq.const_lt", "CauSeq.const_mul", "CauSeq.const_one", "CauSeq.const_pos", "CauSeq.const_pow", "CauSeq.const_smul", "CauSeq.const_sub", "CauSeq.const_zero", "CauSeq.equiv_def\u2083", "CauSeq.equiv_lim", "CauSeq.exists_gt", "CauSeq.exists_lt", "CauSeq.ext", "CauSeq.inf_comm", "CauSeq.inf_eq_left", "CauSeq.inf_eq_right", "CauSeq.inf_equiv_inf", "CauSeq.inf_idem", "CauSeq.inf_le_left", "CauSeq.inf_limZero", "CauSeq.inv_mul_cancel", "CauSeq.isCauSeq", "CauSeq.le_antisymm", "CauSeq.le_inf", "CauSeq.le_lim", "CauSeq.le_of_exists", "CauSeq.le_sup_left", "CauSeq.le_sup_right", "CauSeq.le_total", "CauSeq.limZero_congr", "CauSeq.limZero_sub_rev", "CauSeq.lim_add", "CauSeq.lim_eq_zero_iff", "CauSeq.lim_inv", "CauSeq.lim_lt", "CauSeq.lim_mul_lim", "CauSeq.lim_neg", "CauSeq.lt_inf", "CauSeq.lt_lim", "CauSeq.lt_of_eq_of_lt", "CauSeq.lt_of_lt_of_eq", "CauSeq.lt_total", "CauSeq.lt_trans", "CauSeq.mul_equiv_mul", "CauSeq.mul_equiv_zero", "CauSeq.mul_equiv_zero'", "CauSeq.mul_inv_cancel", "CauSeq.mul_limZero_left", "CauSeq.mul_limZero_right", "CauSeq.mul_not_equiv_zero", "CauSeq.neg_apply", "CauSeq.neg_equiv_neg", "CauSeq.neg_limZero", "CauSeq.not_limZero_of_not_congr_zero", "CauSeq.not_limZero_of_pos", "CauSeq.of_near", "CauSeq.one_apply", "CauSeq.one_not_equiv_zero", "CauSeq.pos_add_limZero", "CauSeq.pow_equiv_pow", "CauSeq.rat_inf_continuous_lemma", "CauSeq.rat_sup_continuous_lemma", "CauSeq.smul_equiv_smul", "CauSeq.sub_apply", "CauSeq.sub_equiv_sub", "CauSeq.sub_limZero", "CauSeq.sup_comm", "CauSeq.sup_eq_right", "CauSeq.sup_equiv_sup", "CauSeq.sup_idem", "CauSeq.sup_inf_distrib_left", "CauSeq.sup_inf_distrib_right", "CauSeq.sup_le", "CauSeq.sup_limZero", "CauSeq.sup_lt", "CauSeq.tendsto_limit", "CauSeq.trichotomy", "CauSeq.zero_apply", "CauSeq.zero_limZero", "Cauchy.comap'", "Cauchy.map", "Cauchy.mono", "Cauchy.prod", "Cauchy.ultrafilter_of", "CauchyFilter.compRel_gen_gen_subset_gen_compRel", "CauchyFilter.comp_gen", "CauchyFilter.denseEmbedding_pureCauchy", "CauchyFilter.denseInducing_pureCauchy", "CauchyFilter.denseRange_pureCauchy", "CauchyFilter.extend_pureCauchy", "CauchyFilter.inseparable_iff", "CauchyFilter.inseparable_iff_of_le_nhds", "CauchyFilter.inseparable_lim_iff", "CauchyFilter.mem_uniformity", "CauchyFilter.mem_uniformity'", "CauchyFilter.monotone_gen", "CauchyFilter.nonempty_cauchyFilter_iff", "CauchyFilter.separated_pureCauchy_injective", "CauchyFilter.symm_gen", "CauchyFilter.uniformContinuous_extend", "CauchyFilter.uniformInducing_pureCauchy", "CauchySeq.comp_tendsto", "CauchySeq.eventually_eventually", "CauchySeq.inv", "CauchySeq.isBounded_range", "CauchySeq.isCauSeq", "CauchySeq.mem_entourage", "CauchySeq.mul", "CauchySeq.mul_const", "CauchySeq.prod", "CauchySeq.prod_map", "CauchySeq.subseq_mem", "CauchySeq.subseq_subseq_mem", "CauchySeq.tendsto_limUnder", "CauchySeq.tendsto_uniformity", "CauchySeq.totallyBounded_range", "CentroidHom.centerToCentroid_apply", "CentroidHom.centroid_eq_centralizer_mulLeftRight", "CentroidHom.coe_copy", "CentroidHom.coe_id", "CentroidHom.coe_intCast", "CentroidHom.coe_mul", "CentroidHom.coe_neg", "CentroidHom.coe_one", "CentroidHom.coe_smul", "CentroidHom.coe_sub", "CentroidHom.coe_toAddMonoidHom", "CentroidHom.coe_toAddMonoidHom_injective", "CentroidHom.coe_zero", "CentroidHom.comp_assoc", "CentroidHom.comp_mul_comm", "CentroidHom.copy_eq", "CentroidHom.ext", "CentroidHom.id_apply", "CentroidHom.id_comp", "CentroidHom.intCast_apply", "CentroidHom.mul_apply", "CentroidHom.neg_apply", "CentroidHom.smul_apply", "CentroidHom.sub_apply", "CentroidHom.toAddMonoidHom_eq_coe", "CentroidHom.toAddMonoidHom_id", "CentroidHom.toEnd_add", "CentroidHom.toEnd_mul", "CentroidHom.toEnd_natCast", "CentroidHom.toEnd_one", "CentroidHom.toEnd_pow", "CentroidHom.toEnd_smul", "CentroidHom.toEnd_sub", "CentroidHom.toEnd_zero", "CentroidHom.zero_apply", "ChainClosure.isChain", "ChainClosure.succ_fixpoint", "ChainClosure.succ_fixpoint_iff", "ChainClosure.total", "ChainComplex.augmentTruncate_hom_f_zero", "ChainComplex.augmentTruncate_inv_f_zero", "ChainComplex.augment_X_zero", "ChainComplex.augment_d_succ_succ", "ChainComplex.exactAt_succ_single_obj", "ChainComplex.fromSingle\u2080Equiv_symm_apply_f_succ", "ChainComplex.fromSingle\u2080Equiv_symm_apply_f_zero", "ChainComplex.isIso_descOpcycles_iff", "ChainComplex.isoHomology\u03b9\u2080_inv_naturality", "ChainComplex.map_chain_complex_of", "ChainComplex.mk'_X_0", "ChainComplex.mk'_d_1_0", "ChainComplex.mkHom_f_0", "ChainComplex.mkHom_f_1", "ChainComplex.mk_X_0", "ChainComplex.mk_X_2", "ChainComplex.mk_d_1_0", "ChainComplex.mk_d_2_1", "ChainComplex.next", "ChainComplex.next_nat_succ", "ChainComplex.next_nat_zero", "ChainComplex.of_d", "ChainComplex.of_d_ne", "ChainComplex.of_x", "ChainComplex.quasiIsoAt\u2080_iff", "ChainComplex.single\u2080ObjXSelf", "ChainComplex.single\u2080_map_f_zero", "ChainComplex.single\u2080_obj_zero", "ChainComplex.toSingle\u2080Equiv_symm_apply_f_zero", "Char.card_pow_card", "Char.card_pow_char_pow", "Char.ext", "Char.le_antisymm", "Char.le_antisymm_iff", "CharP.CharOne.subsingleton", "CharP.addOrderOf_one", "CharP.cast_eq_mod", "CharP.cast_eq_zero", "CharP.cast_eq_zero_iff", "CharP.charP_iff_prime_eq_zero", "CharP.charP_to_charZero", "CharP.char_is_prime", "CharP.char_is_prime_of_two_le", "CharP.char_is_prime_or_zero", "CharP.char_ne_one", "CharP.char_ne_zero_of_finite", "CharP.congr", "CharP.eq", "CharP.exists", "CharP.exists'", "CharP.false_of_nontrivial_of_char_one", "CharP.intCast_eq_intCast", "CharP.intCast_eq_zero_iff", "CharP.natCast_eq_natCast", "CharP.natCast_eq_natCast'", "CharP.natCast_eq_natCast_mod", "CharP.natCast_injOn_Iio", "CharP.neg_one_ne_one", "CharP.neg_one_pow_char", "CharP.neg_one_pow_char_pow", "CharP.nontrivial_of_char_ne_one", "CharP.ofNat_eq_zero", "CharP.quotient'", "CharP.quotient_iff", "CharP.quotient_iff_le_ker_natCast", "CharP.ringChar_ne_one", "CharP.ringChar_ne_zero_of_finite", "CharP.ringChar_zero_iff_CharZero", "CharP.sq_add_sq", "CharTwo.add_mul_self", "CharTwo.add_self_eq_zero", "CharTwo.add_sq", "CharTwo.bit0_apply_eq_zero", "CharTwo.bit0_eq_zero", "CharTwo.bit1_eq_one", "CharTwo.list_sum_mul_self", "CharTwo.list_sum_sq", "CharTwo.multiset_sum_mul_self", "CharTwo.neg_eq", "CharTwo.neg_eq'", "CharTwo.sub_eq_add", "CharTwo.sum_mul_self", "CharTwo.two_eq_zero", "CharZero.charZero_iff_forall_prime_ne_zero", "CharZero.of_module", "CharZero.of_noZeroSMulDivisors", "CharacterModule.dual_rTensor_conj_homEquiv", "CharacterModule.dual_surjective_iff_injective", "CharacterModule.eq_zero_of_ofSpanSingleton_apply_self", "CharacterModule.exists_character_apply_ne_zero_of_ne_zero", "CharacterModule.ext", "CharacterModule.int.divByNat_self", "CharacterModule.intSpanEquivQuotAddOrderOf_apply_self", "ChartedSpace.isOpen_iff", "ChartedSpace.liftPropAt_iff", "ChartedSpace.liftProp_iff", "ChartedSpace.locallyCompactSpace", "ChartedSpace.locallyConnectedSpace", "ChartedSpace.secondCountable_of_countable_cover", "ChartedSpace.secondCountable_of_sigma_compact", "ChartedSpaceCore.open_source'", "ChartedSpaceCore.open_target", "CircleDeg1Lift.ceil_map_map_zero_le", "CircleDeg1Lift.coe_mul", "CircleDeg1Lift.coe_one", "CircleDeg1Lift.coe_pow", "CircleDeg1Lift.coe_toOrderIso", "CircleDeg1Lift.coe_toOrderIso_inv", "CircleDeg1Lift.coe_toOrderIso_symm", "CircleDeg1Lift.commute_add_int", "CircleDeg1Lift.commute_add_nat", "CircleDeg1Lift.commute_iff_commute", "CircleDeg1Lift.commute_int_add", "CircleDeg1Lift.commute_nat_add", "CircleDeg1Lift.commute_sub_int", "CircleDeg1Lift.commute_sub_nat", "CircleDeg1Lift.continuous_iff_surjective", "CircleDeg1Lift.continuous_pow", "CircleDeg1Lift.dist_map_map_zero_lt", "CircleDeg1Lift.dist_map_zero_lt_of_semiconj", "CircleDeg1Lift.exists_eq_add_translationNumber", "CircleDeg1Lift.ext", "CircleDeg1Lift.floor_map_map_zero_le", "CircleDeg1Lift.floor_sub_le_translationNumber", "CircleDeg1Lift.forall_map_sub_of_Icc", "CircleDeg1Lift.inf_apply", "CircleDeg1Lift.isUnit_iff_bijective", "CircleDeg1Lift.iterate_eq_of_map_eq_add_int", "CircleDeg1Lift.iterate_le_of_map_le_add_int", "CircleDeg1Lift.iterate_monotone", "CircleDeg1Lift.iterate_pos_eq_iff", "CircleDeg1Lift.iterate_pos_le_iff", "CircleDeg1Lift.iterate_pos_lt_iff", "CircleDeg1Lift.le_ceil_map_map_zero", "CircleDeg1Lift.le_iterate_pos_iff", "CircleDeg1Lift.le_map_of_map_zero", "CircleDeg1Lift.le_translationNumber_of_add_int_le", "CircleDeg1Lift.le_translationNumber_of_add_le", "CircleDeg1Lift.le_translationNumber_of_add_nat_le", "CircleDeg1Lift.lt_iterate_pos_iff", "CircleDeg1Lift.lt_map_map_zero", "CircleDeg1Lift.lt_map_of_int_lt_translationNumber", "CircleDeg1Lift.lt_map_of_nat_lt_translationNumber", "CircleDeg1Lift.lt_translationNumber_of_forall_add_lt", "CircleDeg1Lift.map_add_int", "CircleDeg1Lift.map_add_nat", "CircleDeg1Lift.map_add_one", "CircleDeg1Lift.map_fract_sub_fract_eq", "CircleDeg1Lift.map_int_add", "CircleDeg1Lift.map_int_of_map_zero", "CircleDeg1Lift.map_lt_add_floor_translationNumber_add_one", "CircleDeg1Lift.map_lt_add_translationNumber_add_one", "CircleDeg1Lift.map_lt_of_translationNumber_lt_int", "CircleDeg1Lift.map_lt_of_translationNumber_lt_nat", "CircleDeg1Lift.map_sub_nat", "CircleDeg1Lift.mono", "CircleDeg1Lift.monotone", "CircleDeg1Lift.mul_apply", "CircleDeg1Lift.mul_floor_map_zero_le_floor_iterate_zero", "CircleDeg1Lift.pow_monotone", "CircleDeg1Lift.semiconjBy_iff_semiconj", "CircleDeg1Lift.semiconj_of_group_action_of_forall_translationNumber_eq", "CircleDeg1Lift.semiconj_of_isUnit_of_translationNumber_eq", "CircleDeg1Lift.strictMono_iff_injective", "CircleDeg1Lift.sup_apply", "CircleDeg1Lift.tendsto_atTop", "CircleDeg1Lift.tendsto_translationNumber", "CircleDeg1Lift.tendsto_translationNumber_of_dist_bounded_aux", "CircleDeg1Lift.tendsto_translation_number'", "CircleDeg1Lift.tendsto_translation_number\u2080", "CircleDeg1Lift.tendsto_translation_number\u2080'", "CircleDeg1Lift.translate_apply", "CircleDeg1Lift.translate_iterate", "CircleDeg1Lift.translate_pow", "CircleDeg1Lift.translate_zpow", "CircleDeg1Lift.translationNumber_conj_eq", "CircleDeg1Lift.translationNumber_conj_eq'", "CircleDeg1Lift.translationNumber_eq_int_iff", "CircleDeg1Lift.translationNumber_eq_of_dist_bounded", "CircleDeg1Lift.translationNumber_eq_of_semiconj", "CircleDeg1Lift.translationNumber_eq_of_semiconjBy", "CircleDeg1Lift.translationNumber_eq_of_tendsto\u2080", "CircleDeg1Lift.translationNumber_eq_of_tendsto\u2080'", "CircleDeg1Lift.translationNumber_eq_rat_iff", "CircleDeg1Lift.translationNumber_le_of_le_add_int", "CircleDeg1Lift.translationNumber_le_of_le_add_nat", "CircleDeg1Lift.translationNumber_lt_of_forall_lt_add", "CircleDeg1Lift.translationNumber_mul_of_commute", "CircleDeg1Lift.translationNumber_of_map_pow_eq_add_int", "CircleDeg1Lift.translationNumber_one", "CircleDeg1Lift.translationNumber_pow", "CircleDeg1Lift.translationNumber_translate", "CircleDeg1Lift.translationNumber_units_inv", "CircleDeg1Lift.translationNumber_zpow", "CircleDeg1Lift.transnumAuxSeq_def", "CircleDeg1Lift.transnumAuxSeq_dist_lt", "CircleDeg1Lift.units_apply_inv_apply", "CircleDeg1Lift.units_inv_apply_apply", "CircleDeg1Lift.units_semiconj_of_translationNumber_eq", "CircleIntegrable.add", "CircleIntegrable.neg", "CircleIntegrable.out", "Class.classToCong_empty", "Class.coe_apply", "Class.coe_diff", "Class.coe_inter", "Class.coe_powerset", "Class.coe_sInter", "Class.coe_sUnion", "Class.coe_sep", "Class.coe_subset", "Class.coe_union", "Class.congToClass_empty", "Class.eq_univ_of_forall", "Class.eq_univ_of_powerset_subset", "Class.ext_iff", "Class.iota_val", "Class.mem_asymm", "Class.mem_def", "Class.mem_of_mem_sInter", "Class.mem_sInter", "Class.mem_sUnion", "Class.mem_univ_hom", "Class.not_empty_hom", "Class.not_mem_empty", "Class.ofSet.inj", "Class.sInter_apply", "Class.sUnion_apply", "Class.sUnion_empty", "Class.univ_not_mem_univ", "ClassGroup.Quot_mk_eq_mk", "ClassGroup.equiv_mk", "ClassGroup.equiv_mk0", "ClassGroup.exists_mem_finsetApprox", "ClassGroup.exists_mem_finset_approx'", "ClassGroup.exists_min", "ClassGroup.exists_mk0_eq_mk0", "ClassGroup.finsetApprox.zero_not_mem", "ClassGroup.induction", "ClassGroup.integralRep_mem_nonZeroDivisors", "ClassGroup.mem_finsetApprox", "ClassGroup.mk0_eq_mk0_iff", "ClassGroup.mk0_eq_mk0_iff_exists_fraction_ring", "ClassGroup.mk0_eq_mk0_inv_iff", "ClassGroup.mk0_eq_one_iff", "ClassGroup.mk0_integralRep", "ClassGroup.mk0_surjective", "ClassGroup.mkMMem_surjective", "ClassGroup.mk_canonicalEquiv", "ClassGroup.mk_eq_mk", "ClassGroup.mk_eq_mk_of_coe_ideal", "ClassGroup.mk_eq_one_iff", "ClassGroup.mk_eq_one_of_coe_ideal", "ClassGroup.mk_mk0", "ClassGroup.normBound_pos", "ClassGroup.norm_le", "ClassGroup.norm_lt", "ClassGroup.prod_finsetApprox_ne_zero", "Classical.cases", "Classical.cases_on", "Classical.cases_true_false", "Classical.choose_spec", "Classical.em", "Classical.nonempty_pi", "Classical.not_forall", "Classical.not_imp", "Classical.not_not", "Classical.or_iff_not_imp_left", "Classical.or_iff_not_imp_right", "Classical.skolem", "Classical.some_spec\u2082", "CliffordAlgebra.EquivEven.Q'_apply", "CliffordAlgebra.EquivEven.e0_mul_e0", "CliffordAlgebra.EquivEven.e0_mul_v_mul_e0", "CliffordAlgebra.EquivEven.involute_v", "CliffordAlgebra.EquivEven.neg_e0_mul_v", "CliffordAlgebra.EquivEven.neg_v_mul_e0", "CliffordAlgebra.EquivEven.reverse_v", "CliffordAlgebra.EquivEven.v_sq_scalar", "CliffordAlgebra.EquivEven.\u03b9_eq_v_add_smul_e0", "CliffordAlgebra.GradedAlgebra.lift_\u03b9_eq", "CliffordAlgebra.GradedAlgebra.\u03b9_apply", "CliffordAlgebra.GradedAlgebra.\u03b9_sq_scalar", "CliffordAlgebra.changeForm.associated_neg_proof", "CliffordAlgebra.changeForm.zero_proof", "CliffordAlgebra.changeFormAux_changeFormAux", "CliffordAlgebra.changeFormEquiv_symm", "CliffordAlgebra.changeForm_algebraMap", "CliffordAlgebra.changeForm_changeForm", "CliffordAlgebra.changeForm_contractLeft", "CliffordAlgebra.changeForm_self_apply", "CliffordAlgebra.changeForm_\u03b9", "CliffordAlgebra.changeForm_\u03b9_mul", "CliffordAlgebra.changeForm_\u03b9_mul_\u03b9", "CliffordAlgebra.coe_toEven_reverse_involute", "CliffordAlgebra.commute_map_mul_map_of_isOrtho_of_mem_evenOdd_zero_left", "CliffordAlgebra.commute_map_mul_map_of_isOrtho_of_mem_evenOdd_zero_right", "CliffordAlgebra.comp_\u03b9_sq_scalar", "CliffordAlgebra.contractLeftAux_contractLeftAux", "CliffordAlgebra.contractLeft_algebraMap", "CliffordAlgebra.contractLeft_algebraMap_mul", "CliffordAlgebra.contractLeft_comm", "CliffordAlgebra.contractLeft_contractLeft", "CliffordAlgebra.contractLeft_mul_algebraMap", "CliffordAlgebra.contractLeft_one", "CliffordAlgebra.contractLeft_\u03b9", "CliffordAlgebra.contractLeft_\u03b9_mul", "CliffordAlgebra.contractRight_algebraMap", "CliffordAlgebra.contractRight_algebraMap_mul", "CliffordAlgebra.contractRight_comm", "CliffordAlgebra.contractRight_contractRight", "CliffordAlgebra.contractRight_eq", "CliffordAlgebra.contractRight_mul_algebraMap", "CliffordAlgebra.contractRight_mul_\u03b9", "CliffordAlgebra.contractRight_one", "CliffordAlgebra.contractRight_\u03b9", "CliffordAlgebra.equivOfIsometry_refl", "CliffordAlgebra.equivOfIsometry_symm", "CliffordAlgebra.equivOfIsometry_trans", "CliffordAlgebra.even.algHom_ext", "CliffordAlgebra.even.lift.aux_mul", "CliffordAlgebra.even.lift.aux_one", "CliffordAlgebra.even.lift.aux_\u03b9", "CliffordAlgebra.even.lift.fFold_fFold", "CliffordAlgebra.even.lift.fst_fFold_fFold", "CliffordAlgebra.even.lift.snd_fFold_fFold", "CliffordAlgebra.even.lift_\u03b9", "CliffordAlgebra.evenOdd_comap_involute", "CliffordAlgebra.evenOdd_induction", "CliffordAlgebra.evenOdd_isCompl", "CliffordAlgebra.evenOdd_map_involute", "CliffordAlgebra.evenOdd_map_reverse", "CliffordAlgebra.evenOdd_mul_le", "CliffordAlgebra.evenToNeg_comp_evenToNeg", "CliffordAlgebra.even_induction", "CliffordAlgebra.foldl_algebraMap", "CliffordAlgebra.foldl_mul", "CliffordAlgebra.foldl_one", "CliffordAlgebra.foldl_prod_map_\u03b9", "CliffordAlgebra.foldl_reverse", "CliffordAlgebra.foldl_\u03b9", "CliffordAlgebra.foldr'Aux_foldr'Aux", "CliffordAlgebra.foldr'_algebraMap", "CliffordAlgebra.foldr'_\u03b9", "CliffordAlgebra.foldr'_\u03b9_mul", "CliffordAlgebra.foldr_mul", "CliffordAlgebra.foldr_one", "CliffordAlgebra.foldr_prod_map_\u03b9", "CliffordAlgebra.foldr_reverse", "CliffordAlgebra.foldr_\u03b9", "CliffordAlgebra.forall_mul_self_eq_iff", "CliffordAlgebra.hom_ext", "CliffordAlgebra.iSup_\u03b9_range_eq_top", "CliffordAlgebra.induction", "CliffordAlgebra.invOf_\u03b9", "CliffordAlgebra.invOf_\u03b9_mul_\u03b9_mul_\u03b9", "CliffordAlgebra.involute_comp_involute", "CliffordAlgebra.involute_eq_of_mem_even", "CliffordAlgebra.involute_eq_of_mem_odd", "CliffordAlgebra.involute_involute", "CliffordAlgebra.involute_mem_evenOdd_iff", "CliffordAlgebra.involute_prod_map_\u03b9", "CliffordAlgebra.involute_\u03b9", "CliffordAlgebra.isUnit_of_isUnit_\u03b9", "CliffordAlgebra.isUnit_\u03b9_iff", "CliffordAlgebra.isUnit_\u03b9_of_isUnit", "CliffordAlgebra.leftInverse_map_of_leftInverse", "CliffordAlgebra.left_induction", "CliffordAlgebra.lift_comp_\u03b9", "CliffordAlgebra.lift_unique", "CliffordAlgebra.lift_\u03b9_apply", "CliffordAlgebra.map_apply_\u03b9", "CliffordAlgebra.map_comp_map", "CliffordAlgebra.map_comp_\u03b9", "CliffordAlgebra.map_id", "CliffordAlgebra.map_mul_map_of_isOrtho_of_mem_evenOdd", "CliffordAlgebra.map_surjective", "CliffordAlgebra.mul_add_swap_eq_polar_of_forall_mul_self_eq", "CliffordAlgebra.mul_\u03b9_mul_\u03b9_of_isOrtho", "CliffordAlgebra.odd_induction", "CliffordAlgebra.ofBaseChangeAux_\u03b9", "CliffordAlgebra.ofBaseChange_comp_toBaseChange", "CliffordAlgebra.ofBaseChange_tmul_one", "CliffordAlgebra.ofBaseChange_tmul_\u03b9", "CliffordAlgebra.ofBaseChange_toBaseChange", "CliffordAlgebra.ofEven_comp_toEven", "CliffordAlgebra.ofEven_\u03b9", "CliffordAlgebra.ofProd_\u03b9_mk", "CliffordAlgebra.one_le_evenOdd_zero", "CliffordAlgebra.op_reverse", "CliffordAlgebra.range_\u03b9_le_evenOdd_one", "CliffordAlgebra.reverse.commutes", "CliffordAlgebra.reverse.map_mul", "CliffordAlgebra.reverseOpEquiv_opComm", "CliffordAlgebra.reverse_comp_involute", "CliffordAlgebra.reverse_involute", "CliffordAlgebra.reverse_involute_commute", "CliffordAlgebra.reverse_involutive", "CliffordAlgebra.reverse_mem_evenOdd_iff", "CliffordAlgebra.reverse_prod_map_\u03b9", "CliffordAlgebra.reverse_reverse", "CliffordAlgebra.reverse_\u03b9", "CliffordAlgebra.right_induction", "CliffordAlgebra.star_algebraMap", "CliffordAlgebra.star_def", "CliffordAlgebra.star_smul", "CliffordAlgebra.star_\u03b9", "CliffordAlgebra.submodule_comap_mul_reverse", "CliffordAlgebra.submodule_comap_pow_reverse", "CliffordAlgebra.submodule_map_mul_reverse", "CliffordAlgebra.submodule_map_pow_reverse", "CliffordAlgebra.submodule_map_reverse_eq_comap", "CliffordAlgebra.toBaseChange_comp_involute", "CliffordAlgebra.toBaseChange_comp_ofBaseChange", "CliffordAlgebra.toBaseChange_comp_reverseOp", "CliffordAlgebra.toBaseChange_involute", "CliffordAlgebra.toBaseChange_ofBaseChange", "CliffordAlgebra.toBaseChange_reverse", "CliffordAlgebra.toBaseChange_\u03b9", "CliffordAlgebra.toEven_comp_ofEven", "CliffordAlgebra.toEven_\u03b9", "CliffordAlgebra.toProd_comp_ofProd", "CliffordAlgebra.toProd_one_tmul_\u03b9", "CliffordAlgebra.toProd_\u03b9_tmul_one", "CliffordAlgebra.unop_reverseOp", "CliffordAlgebra.\u03b9_mem_evenOdd_one", "CliffordAlgebra.\u03b9_mul_\u03b9_add_swap", "CliffordAlgebra.\u03b9_mul_\u03b9_add_swap_of_isOrtho", "CliffordAlgebra.\u03b9_mul_\u03b9_comm", "CliffordAlgebra.\u03b9_mul_\u03b9_comm_of_isOrtho", "CliffordAlgebra.\u03b9_mul_\u03b9_mem_evenOdd_zero", "CliffordAlgebra.\u03b9_mul_\u03b9_mul_invOf_\u03b9", "CliffordAlgebra.\u03b9_mul_\u03b9_mul_of_isOrtho", "CliffordAlgebra.\u03b9_mul_\u03b9_mul_\u03b9", "CliffordAlgebra.\u03b9_range_comap_involute", "CliffordAlgebra.\u03b9_range_comap_reverse", "CliffordAlgebra.\u03b9_range_map_involute", "CliffordAlgebra.\u03b9_range_map_lift", "CliffordAlgebra.\u03b9_range_map_reverse", "CliffordAlgebra.\u03b9_sq_scalar", "CliffordAlgebraComplex.Q_apply", "CliffordAlgebraComplex.ofComplex_I", "CliffordAlgebraComplex.ofComplex_comp_toComplex", "CliffordAlgebraComplex.ofComplex_conj", "CliffordAlgebraComplex.ofComplex_toComplex", "CliffordAlgebraComplex.reverse_apply", "CliffordAlgebraComplex.reverse_eq_id", "CliffordAlgebraComplex.toComplex_comp_ofComplex", "CliffordAlgebraComplex.toComplex_involute", "CliffordAlgebraDualNumber.equiv_symm_eps", "CliffordAlgebraDualNumber.equiv_\u03b9", "CliffordAlgebraDualNumber.\u03b9_mul_\u03b9", "CliffordAlgebraQuaternion.Q_apply", "CliffordAlgebraQuaternion.ofQuaternion_comp_toQuaternion", "CliffordAlgebraQuaternion.ofQuaternion_star", "CliffordAlgebraQuaternion.ofQuaternion_toQuaternion", "CliffordAlgebraQuaternion.toQuaternion_ofQuaternion", "CliffordAlgebraQuaternion.toQuaternion_star", "CliffordAlgebraRing.reverse_apply", "CliffordAlgebraRing.reverse_eq_id", "ClopenUpperSet.coe_inf", "ClopenUpperSet.coe_sup", "ClopenUpperSet.coe_top", "ClopenUpperSet.ext", "ClopenUpperSet.isClopen", "ClopenUpperSet.upper", "ClosedEmbedding.LindelofSpace", "ClosedEmbedding.compactSpace", "ClosedEmbedding.continuous", "ClosedEmbedding.integral_map", "ClosedEmbedding.isCompact_preimage", "ClosedEmbedding.isLindelof_preimage", "ClosedEmbedding.locallyCompactSpace", "ClosedEmbedding.nonLindelofSpace", "ClosedEmbedding.normalSpace", "ClosedEmbedding.paracompactSpace", "ClosedEmbedding.polishSpace", "ClosedEmbedding.quasiSober", "ClosedEmbedding.sigmaCompactSpace", "ClosedEmbedding.t4Space", "ClosedEmbedding.tendsto_coLindelof", "ClosureOperator.IsClosed.closure_eq", "ClosureOperator.IsClosed.closure_le_iff", "ClosureOperator.closure_iSup_closure", "ClosureOperator.closure_iSup\u2082_closure", "ClosureOperator.closure_min", "ClosureOperator.closure_sup_closure_le", "ClosureOperator.closure_sup_closure_left", "ClosureOperator.closure_sup_closure_right", "ClosureOperator.closure_top", "ClosureOperator.conjBy_refl", "ClosureOperator.conjBy_trans", "ClosureOperator.eq_ofPred_closed", "ClosureOperator.ext_isClosed", "ClosureOperator.idempotent", "ClosureOperator.isClosed_closure", "ClosureOperator.isClosed_iff_closure_le", "ClosureOperator.le_closure_iff", "ClusterPt.mono", "ClusterPt.neBot", "ClusterPt.of_inf_left", "ClusterPt.of_inf_right", "ClusterPt.of_le_nhds", "ClusterPt.of_le_nhds'", "ClusterPt.of_nhds_le", "CoalgEquiv.coe_toCoalgHom", "CoalgEquiv.coe_toEquiv_symm", "CoalgEquiv.congr_fun", "CoalgEquiv.ext_iff", "CoalgEquiv.refl_toLinearEquiv", "CoalgEquiv.symm_toCoalgHom", "CoalgEquiv.symm_toLinearEquiv", "CoalgEquiv.toCoalgHom_eq_coe", "CoalgEquiv.toCoalgHom_inj", "CoalgEquiv.toCoalgebraCatIso_symm", "CoalgEquiv.toCoalgebraCatIso_trans", "CoalgEquiv.toEquiv_inj", "CoalgEquiv.toEquiv_injective", "CoalgEquiv.toLinearEquiv_eq_coe", "CoalgEquiv.toLinearEquiv_toLinearMap", "CoalgHom.coe_addMonoidHom_injective", "CoalgHom.coe_comp", "CoalgHom.coe_copy", "CoalgHom.coe_fn_inj", "CoalgHom.coe_fn_injective", "CoalgHom.coe_id", "CoalgHom.coe_linearMap_injective", "CoalgHom.coe_linearMap_mk", "CoalgHom.coe_mk", "CoalgHom.coe_mks", "CoalgHom.coe_toAddMonoidHom", "CoalgHom.coe_toLinearMap", "CoalgHom.comp_assoc", "CoalgHom.comp_id", "CoalgHom.comp_toLinearMap", "CoalgHom.ext", "CoalgHom.ext_of_ring", "CoalgHom.id_comp", "CoalgHom.id_toLinearMap", "CoalgHom.mk_coe", "CoalgHom.one_apply", "CoalgHom.toLinearMap_eq_coe", "CoalgHomClass.counit_comp_apply", "Coalgebra.coassoc_symm", "Coalgebra.coassoc_symm_apply", "CoalgebraCat.forget\u2082_map", "CoalgebraCat.hom_ext", "CoalgebraCat.moduleCat_of_toModuleCat", "CoalgebraCat.of_comul", "CoalgebraCat.toCoalgHom_id", "CochainComplex.HomComplex.Cochain.add_comp", "CochainComplex.HomComplex.Cochain.add_v", "CochainComplex.HomComplex.Cochain.comp_add", "CochainComplex.HomComplex.Cochain.comp_assoc", "CochainComplex.HomComplex.Cochain.comp_assoc_of_first_is_zero_cochain", "CochainComplex.HomComplex.Cochain.comp_assoc_of_second_degree_eq_neg_third_degree", "CochainComplex.HomComplex.Cochain.comp_assoc_of_second_is_zero_cochain", "CochainComplex.HomComplex.Cochain.comp_id", "CochainComplex.HomComplex.Cochain.comp_neg", "CochainComplex.HomComplex.Cochain.comp_smul", "CochainComplex.HomComplex.Cochain.comp_sub", "CochainComplex.HomComplex.Cochain.comp_units_smul", "CochainComplex.HomComplex.Cochain.comp_v", "CochainComplex.HomComplex.Cochain.comp_zero", "CochainComplex.HomComplex.Cochain.comp_zero_cochain_v", "CochainComplex.HomComplex.Cochain.congr_v", "CochainComplex.HomComplex.Cochain.d_comp_ofHom_v", "CochainComplex.HomComplex.Cochain.d_comp_ofHoms_v", "CochainComplex.HomComplex.Cochain.diff_v", "CochainComplex.HomComplex.Cochain.ext\u2080", "CochainComplex.HomComplex.Cochain.id_comp", "CochainComplex.HomComplex.Cochain.leftShift_add", "CochainComplex.HomComplex.Cochain.leftShift_comp", "CochainComplex.HomComplex.Cochain.leftShift_comp_zero_cochain", "CochainComplex.HomComplex.Cochain.leftShift_leftUnshift", "CochainComplex.HomComplex.Cochain.leftShift_neg", "CochainComplex.HomComplex.Cochain.leftShift_rightShift", "CochainComplex.HomComplex.Cochain.leftShift_rightShift_eq_negOnePow_rightShift_leftShift", "CochainComplex.HomComplex.Cochain.leftShift_smul", "CochainComplex.HomComplex.Cochain.leftShift_units_smul", "CochainComplex.HomComplex.Cochain.leftShift_v", "CochainComplex.HomComplex.Cochain.leftShift_zero", "CochainComplex.HomComplex.Cochain.leftUnshift_add", "CochainComplex.HomComplex.Cochain.leftUnshift_leftShift", "CochainComplex.HomComplex.Cochain.leftUnshift_neg", "CochainComplex.HomComplex.Cochain.leftUnshift_smul", "CochainComplex.HomComplex.Cochain.leftUnshift_zero", "CochainComplex.HomComplex.Cochain.map_add", "CochainComplex.HomComplex.Cochain.map_comp", "CochainComplex.HomComplex.Cochain.map_sub", "CochainComplex.HomComplex.Cochain.map_zero", "CochainComplex.HomComplex.Cochain.mk_v", "CochainComplex.HomComplex.Cochain.neg_comp", "CochainComplex.HomComplex.Cochain.neg_v", "CochainComplex.HomComplex.Cochain.ofHom_add", "CochainComplex.HomComplex.Cochain.ofHom_comp", "CochainComplex.HomComplex.Cochain.ofHom_injective", "CochainComplex.HomComplex.Cochain.ofHom_sub", "CochainComplex.HomComplex.Cochain.ofHom_v", "CochainComplex.HomComplex.Cochain.ofHom_v_comp_d", "CochainComplex.HomComplex.Cochain.ofHom_zero", "CochainComplex.HomComplex.Cochain.ofHoms_comp", "CochainComplex.HomComplex.Cochain.ofHoms_v", "CochainComplex.HomComplex.Cochain.ofHoms_v_comp_d", "CochainComplex.HomComplex.Cochain.ofHoms_zero", "CochainComplex.HomComplex.Cochain.rightShift_add", "CochainComplex.HomComplex.Cochain.rightShift_leftShift", "CochainComplex.HomComplex.Cochain.rightShift_neg", "CochainComplex.HomComplex.Cochain.rightShift_rightUnshift", "CochainComplex.HomComplex.Cochain.rightShift_smul", "CochainComplex.HomComplex.Cochain.rightShift_units_smul", "CochainComplex.HomComplex.Cochain.rightShift_v", "CochainComplex.HomComplex.Cochain.rightShift_zero", "CochainComplex.HomComplex.Cochain.rightUnshift_add", "CochainComplex.HomComplex.Cochain.rightUnshift_comp", "CochainComplex.HomComplex.Cochain.rightUnshift_neg", "CochainComplex.HomComplex.Cochain.rightUnshift_rightShift", "CochainComplex.HomComplex.Cochain.rightUnshift_smul", "CochainComplex.HomComplex.Cochain.rightUnshift_v", "CochainComplex.HomComplex.Cochain.rightUnshift_zero", "CochainComplex.HomComplex.Cochain.shift_neg", "CochainComplex.HomComplex.Cochain.shift_smul", "CochainComplex.HomComplex.Cochain.shift_units_smul", "CochainComplex.HomComplex.Cochain.shift_v", "CochainComplex.HomComplex.Cochain.shift_v'", "CochainComplex.HomComplex.Cochain.shift_zero", "CochainComplex.HomComplex.Cochain.smul_comp", "CochainComplex.HomComplex.Cochain.smul_v", "CochainComplex.HomComplex.Cochain.sub_comp", "CochainComplex.HomComplex.Cochain.sub_v", "CochainComplex.HomComplex.Cochain.units_smul_comp", "CochainComplex.HomComplex.Cochain.units_smul_v", "CochainComplex.HomComplex.Cochain.v_comp_XIsoOfEq_hom", "CochainComplex.HomComplex.Cochain.v_comp_XIsoOfEq_inv", "CochainComplex.HomComplex.Cochain.zero_cochain_comp_v", "CochainComplex.HomComplex.Cochain.zero_comp", "CochainComplex.HomComplex.Cochain.\u03b4_leftShift", "CochainComplex.HomComplex.Cochain.\u03b4_leftUnshift", "CochainComplex.HomComplex.Cochain.\u03b4_rightShift", "CochainComplex.HomComplex.Cochain.\u03b4_rightUnshift", "CochainComplex.HomComplex.Cochain.\u03b4_shift", "CochainComplex.HomComplex.Cocycle.coe_neg", "CochainComplex.HomComplex.Cocycle.coe_sub", "CochainComplex.HomComplex.Cocycle.coe_units_smul", "CochainComplex.HomComplex.Cocycle.coe_zero", "CochainComplex.HomComplex.Cocycle.ext", "CochainComplex.HomComplex.Cocycle.ext_iff", "CochainComplex.HomComplex.Cocycle.homOf_ofHom_eq_self", "CochainComplex.HomComplex.Cocycle.mem_iff", "CochainComplex.HomComplex.Cocycle.ofHom_homOf_eq_self", "CochainComplex.HomComplex.\u03b4_comp", "CochainComplex.HomComplex.\u03b4_comp_ofHom", "CochainComplex.HomComplex.\u03b4_comp_zero_cochain", "CochainComplex.HomComplex.\u03b4_comp_zero_cocycle", "CochainComplex.HomComplex.\u03b4_map", "CochainComplex.HomComplex.\u03b4_neg", "CochainComplex.HomComplex.\u03b4_neg_one_cochain", "CochainComplex.HomComplex.\u03b4_ofHom_comp", "CochainComplex.HomComplex.\u03b4_ofHomotopy", "CochainComplex.HomComplex.\u03b4_shape", "CochainComplex.HomComplex.\u03b4_smul", "CochainComplex.HomComplex.\u03b4_sub", "CochainComplex.HomComplex.\u03b4_v", "CochainComplex.HomComplex.\u03b4_zero_cochain_comp", "CochainComplex.HomComplex.\u03b4_zero_cochain_v", "CochainComplex.HomComplex.\u03b4_zero_cocycle_comp", "CochainComplex.HomComplex.\u03b4_\u03b4", "CochainComplex.MappingConeCompHomotopyEquiv.hom_inv_id", "CochainComplex.ShiftSequence.shiftIso_hom_app", "CochainComplex.ShiftSequence.shiftIso_inv_app", "CochainComplex.XIsoOfEq_shift", "CochainComplex.augmentTruncate_hom_f_zero", "CochainComplex.augmentTruncate_inv_f_zero", "CochainComplex.augment_d_succ_succ", "CochainComplex.augment_d_zero_one", "CochainComplex.cochainComplex_d_succ_succ_zero", "CochainComplex.exactAt_succ_single_obj", "CochainComplex.homOfDegreewiseSplit_f", "CochainComplex.homologyFunctor_shift", "CochainComplex.isIso_liftCycles_iff", "CochainComplex.isoHomology\u03c0\u2080_inv_naturality", "CochainComplex.liftCycles_shift_homology\u03c0", "CochainComplex.mapBifunctorShift\u2081Iso_trans_mapBifunctorShift\u2082Iso", "CochainComplex.mappingCone.cocycleOfDegreewiseSplit_triangleRotateShortComplexSplitting_v", "CochainComplex.mappingCone.d_fst_v", "CochainComplex.mappingCone.d_fst_v'", "CochainComplex.mappingCone.d_snd_v", "CochainComplex.mappingCone.d_snd_v'", "CochainComplex.mappingCone.desc_f", "CochainComplex.mappingCone.ext_cochain_from_iff", "CochainComplex.mappingCone.ext_cochain_to_iff", "CochainComplex.mappingCone.ext_from_iff", "CochainComplex.mappingCone.ext_to_iff", "CochainComplex.mappingCone.homologySequence\u03b4_triangleh", "CochainComplex.mappingCone.id", "CochainComplex.mappingCone.id_X", "CochainComplex.mappingCone.inl_desc", "CochainComplex.mappingCone.inl_descCochain", "CochainComplex.mappingCone.inl_fst", "CochainComplex.mappingCone.inl_fst_assoc", "CochainComplex.mappingCone.inl_snd", "CochainComplex.mappingCone.inl_snd_assoc", "CochainComplex.mappingCone.inl_v_d", "CochainComplex.mappingCone.inl_v_descCochain_v", "CochainComplex.mappingCone.inl_v_desc_f", "CochainComplex.mappingCone.inl_v_fst_v", "CochainComplex.mappingCone.inl_v_snd_v", "CochainComplex.mappingCone.inl_v_triangle_mor\u2083_f", "CochainComplex.mappingCone.inr_descCochain", "CochainComplex.mappingCone.inr_f_d", "CochainComplex.mappingCone.inr_f_descCochain_v", "CochainComplex.mappingCone.inr_f_descShortComplex_f", "CochainComplex.mappingCone.inr_f_snd_v", "CochainComplex.mappingCone.inr_f_triangle_mor\u2083_f", "CochainComplex.mappingCone.inr_fst", "CochainComplex.mappingCone.inr_fst_assoc", "CochainComplex.mappingCone.inr_snd", "CochainComplex.mappingCone.inr_snd_assoc", "CochainComplex.mappingCone.liftCochain_descCochain", "CochainComplex.mappingCone.liftCochain_fst", "CochainComplex.mappingCone.liftCochain_snd", "CochainComplex.mappingCone.liftCochain_v_descCochain_v", "CochainComplex.mappingCone.liftCochain_v_fst_v", "CochainComplex.mappingCone.liftCochain_v_snd_v", "CochainComplex.mappingCone.lift_desc_f", "CochainComplex.mappingCone.lift_f", "CochainComplex.mappingCone.lift_f_fst_v", "CochainComplex.mappingCone.lift_f_snd_v", "CochainComplex.mappingCone.lift_snd", "CochainComplex.mappingCone.map_comp", "CochainComplex.mappingCone.map_eq_mapOfHomotopy", "CochainComplex.mappingCone.map_id", "CochainComplex.mappingCone.ofHom_desc", "CochainComplex.mappingCone.ofHom_lift", "CochainComplex.mappingCone.quasiIso_descShortComplex", "CochainComplex.mappingCone.rotateHomotopyEquiv_comm\u2082", "CochainComplex.mappingCone.rotateHomotopyEquiv_comm\u2083", "CochainComplex.mappingCone.triangleMapOfHomotopy_comm\u2082", "CochainComplex.mappingCone.triangleMapOfHomotopy_comm\u2083", "CochainComplex.mappingCone.\u03b4_descCochain", "CochainComplex.mappingCone.\u03b4_inl", "CochainComplex.mappingCone.\u03b4_liftCochain", "CochainComplex.mappingConeCompHomotopyEquiv_comm\u2081", "CochainComplex.mappingConeCompHomotopyEquiv_comm\u2082", "CochainComplex.mappingConeCompHomotopyEquiv_hom_inv_id", "CochainComplex.mappingConeCompTriangle_mor\u2083_naturality", "CochainComplex.mappingConeCompTriangleh_comm\u2081", "CochainComplex.mappingConeHomOfDegreewiseSplitIso_inv_comp_triangle_mor\u2083", "CochainComplex.mk'_X_1", "CochainComplex.mk'_d_1_0", "CochainComplex.mkHom_f_succ_succ", "CochainComplex.mk_X_0", "CochainComplex.mk_X_2", "CochainComplex.mk_d_1_0", "CochainComplex.mk_d_2_0", "CochainComplex.next", "CochainComplex.of_d", "CochainComplex.of_d_ne", "CochainComplex.of_x", "CochainComplex.prev", "CochainComplex.prev_nat_succ", "CochainComplex.prev_nat_zero", "CochainComplex.shiftFunctorAdd'_eq", "CochainComplex.shiftFunctorAdd'_hom_app_f'", "CochainComplex.shiftFunctorAdd'_inv_app_f'", "CochainComplex.shiftFunctorAdd_eq", "CochainComplex.shiftFunctorAdd_hom_app_f", "CochainComplex.shiftFunctorAdd_inv_app_f", "CochainComplex.shiftFunctorComm_hom_app_f", "CochainComplex.shiftFunctorZero_hom_app_f", "CochainComplex.shiftFunctorZero_inv_app_f", "CochainComplex.shiftFunctor_map_f'", "CochainComplex.shiftFunctor_obj_X'", "CochainComplex.shiftFunctor_obj_d'", "CochainComplex.shiftShortComplexFunctorIso_add'_hom_app", "CochainComplex.shift_f_comp_mappingConeHomOfDegreewiseSplitIso_inv", "CochainComplex.single\u2080_map_f_zero", "CochainComplex.single\u2080_obj_zero", "CochainComplex.toSingle\u2080Equiv_symm_apply_f_zero", "CochainComplex.truncateAugment_hom_f", "CochainComplex.truncateAugment_inv_f", "CocompactMap.coe_comp", "CocompactMap.coe_id", "CocompactMap.coe_mk", "CocompactMap.coe_toContinuousMap", "CocompactMap.comp_apply", "CocompactMap.ext", "CocompactMap.isCompact_preimage", "CocompactMap.isCompact_preimage_of_isClosed", "CocompactMap.tendsto_of_forall_preimage", "CocompactMapClass.norm_le", "Codisjoint.bihimp_eq_inf", "Codisjoint.bihimp_inf_bihimp_le_left", "Codisjoint.bihimp_inf_bihimp_le_right", "Codisjoint.bihimp_left", "Codisjoint.dual", "Codisjoint.eq_iff", "Codisjoint.eq_top", "Codisjoint.eq_top_of_ge", "Codisjoint.eq_top_of_le", "Codisjoint.himp_eq_left", "Codisjoint.himp_inf_cancel_left", "Codisjoint.himp_inf_cancel_right", "Codisjoint.himp_le_of_right_le", "Codisjoint.inf_right", "Codisjoint.left_le_of_le_inf_left", "Codisjoint.left_le_of_le_inf_right", "Codisjoint.map", "Codisjoint.map_orderIso", "Codisjoint.mono_left", "Codisjoint.mono_right", "Codisjoint.ne_bot_of_ne_top", "Codisjoint.ne_bot_of_ne_top'", "Codisjoint.ne_iff", "Codisjoint.of_codisjoint_sup_of_le'", "Codisjoint.preimage", "Codisjoint.sup_left", "Codisjoint.sup_left'", "Codisjoint.sup_right", "Codisjoint.symm", "Codisjoint.top_le", "Codisjoint_comm", "CofiniteTopology.continuous_of", "CofiniteTopology.isClosed_iff", "CofiniteTopology.isOpen_iff", "CofiniteTopology.isOpen_iff'", "CofiniteTopology.mem_nhds_iff", "CofiniteTopology.nhds_eq", "Coheyting.boundary_hnot_hnot", "Coheyting.boundary_idem", "Coheyting.boundary_inf", "Coheyting.boundary_inf_le", "Coheyting.boundary_le_boundary_sup_sup_boundary_inf_left", "Coheyting.boundary_le_boundary_sup_sup_boundary_inf_right", "Coheyting.boundary_le_hnot", "Coheyting.boundary_sup_le", "Coheyting.boundary_sup_sup_boundary_inf", "Coheyting.boundary_top", "Coheyting.hnot_boundary", "Coheyting.hnot_eq_top_iff_exists_boundary", "Coheyting.hnot_hnot_sup_boundary", "Coheyting.inf_hnot_self", "CoheytingHom.cancel_left", "CoheytingHom.cancel_right", "CoheytingHom.coe_comp", "CoheytingHom.coe_id", "CoheytingHom.comp_apply", "CoheytingHom.comp_assoc", "CoheytingHom.comp_id", "CoheytingHom.copy_eq", "CoheytingHom.ext", "CoheytingHom.id_comp", "CoheytingHom.toFun_eq_coe", "Collinear.collinear_insert_iff_of_ne", "Collinear.coplanar_insert", "Collinear.finiteDimensional_direction_affineSpan", "Collinear.mem_affineSpan_of_mem_of_ne", "Collinear.oangle_sign_of_sameRay_vsub", "Collinear.sbtw_of_dist_eq_of_dist_lt", "Collinear.subset", "Collinear.two_zsmul_oangle_eq_left", "Collinear.two_zsmul_oangle_eq_right", "Collinear.wbtw_of_dist_eq_of_dist_le", "Collinear.wbtw_or_wbtw_or_wbtw", "Combinatorics.Line.apply_none", "Combinatorics.Line.apply_of_ne_none", "Combinatorics.Line.diagonal_apply", "Combinatorics.Line.exists_mono_in_high_dimension", "Combinatorics.Line.exists_mono_in_high_dimension'", "Combinatorics.Line.map_apply", "Combinatorics.exists_mono_homothetic_copy", "CommApplicative.commutative_map", "CommGroup.center_eq_top", "CommGroup.ext", "CommGroup.finite_of_fg_torsion", "CommGroup.is_simple_iff_isCyclic_and_prime_card", "CommGroup.mem_torsion", "CommGroup.nilpotencyClass_le_one", "CommGroup.torsion_eq_torsion_submonoid", "CommGroupWithZero.coe_normUnit", "CommGroupWithZero.normalize_eq_one", "CommGrp.coe_comp", "CommGrp.coe_comp'", "CommGrp.coe_id", "CommGrp.coe_id'", "CommGrp.comp_def", "CommGrp.ext", "CommGrp.hasLimit_iff_small_sections", "CommGrp.isZero_of_subsingleton", "CommGrp.ker_eq_bot_of_mono", "CommGrp.ofHom_apply", "CommGrp.one_apply", "CommMagma.IsLeftCancelMul.toIsCancelMul", "CommMagma.IsRightCancelMul.toIsLeftCancelMul", "CommMonCat.coe_id", "CommMonCat.coe_of", "CommMonCat.ext", "CommMonCat.forget_map", "CommMonCat.ofHom_apply", "CommMon_.comp'", "CommMon_.comp_hom", "CommMon_.forget\u2082_Mon_map_hom", "CommMon_.forget\u2082_Mon_obj_mul", "CommMon_.forget\u2082_Mon_obj_one", "CommMon_.hom_ext", "CommMon_.id'", "CommMonoid.primaryComponent.disjoint", "CommMonoid.primaryComponent.exists_orderOf_eq_prime_pow", "CommMonoid.toMonoid_injective", "CommMonoid.torsion.isTorsion", "CommRing.ext", "CommRing.toRing_injective", "CommRingCat.Colimits.cocone_naturality", "CommRingCat.Colimits.cocone_naturality_components", "CommRingCat.Colimits.quot_add", "CommRingCat.Colimits.quot_mul", "CommRingCat.Colimits.quot_neg", "CommRingCat.Colimits.quot_one", "CommRingCat.Colimits.quot_zero", "CommRingCat.KaehlerDifferential.ext", "CommRingCat.KaehlerDifferential.map_d", "CommRingCat.RingEquiv_coe_eq", "CommRingCat.coe_comp_of", "CommRingCat.coe_id", "CommRingCat.coe_id_of", "CommRingCat.coe_of", "CommRingCat.coe_ringHom_id", "CommRingCat.comp_eq_ring_hom_comp", "CommRingCat.ext", "CommRingCat.ext_of", "CommRingCat.forget_map", "CommRingCat.pushoutCocone_inr", "CommRingCat.pushoutCocone_pt", "CommRingCat.ringHom_comp_eq_comp", "CommSemiRingCat.RingEquiv_coe_eq", "CommSemiRingCat.coe_comp", "CommSemiRingCat.coe_ringHom_id", "CommSemiRingCat.forget_map", "CommSemiring.antipode_eq_id", "CommSemiring.counit_apply", "CommSemiring.ext", "Commensurable.comm", "Commensurable.commensurable_conj", "Commensurable.commensurable_inv", "Commensurable.commensurator'_mem_iff", "Commensurable.equivalence", "Commensurable.refl", "Commensurable.trans", "Commute.add_left", "Commute.add_pow", "Commute.add_pow'", "Commute.add_pow_add_eq_zero_of_pow_eq_zero", "Commute.add_pow_eq_zero_of_add_le_succ_of_pow_eq_zero", "Commute.add_pow_prime_eq", "Commute.add_pow_prime_pow_eq", "Commute.add_right", "Commute.all", "Commute.bit0_left", "Commute.bit0_right", "Commute.bit1_right", "Commute.commutator_eq", "Commute.conj", "Commute.conj_iff", "Commute.div_add_div", "Commute.div_div_div_comm", "Commute.div_eq_div_iff_of_isUnit", "Commute.div_left", "Commute.div_mul_div_comm", "Commute.div_sub_div", "Commute.eq", "Commute.exists_add_pow_prime_eq", "Commute.exists_orderOf_eq_lcm", "Commute.exp", "Commute.expUnitary", "Commute.expUnitary_add", "Commute.exp_left", "Commute.exp_right", "Commute.function_commute_mul_left", "Commute.function_commute_mul_right", "Commute.geom_sum\u2082", "Commute.geom_sum\u2082_Ico", "Commute.geom_sum\u2082_Ico_mul", "Commute.geom_sum\u2082_comm", "Commute.geom_sum\u2082_mul", "Commute.geom_sum\u2082_mul_add", "Commute.geom_sum\u2082_succ_eq", "Commute.intCast_left", "Commute.intCast_mul_left", "Commute.intCast_right", "Commute.inv", "Commute.invOf_left", "Commute.invOf_right", "Commute.inv_add_inv", "Commute.inv_inv_iff", "Commute.inv_left_iff", "Commute.inv_mul_cancel", "Commute.inv_mul_cancel_assoc", "Commute.inv_right_iff", "Commute.inv_right_iff\u2080", "Commute.inv_right\u2080", "Commute.inv_sub_inv", "Commute.isNilpotent_add", "Commute.isNilpotent_mul_left", "Commute.isNilpotent_mul_left_iff", "Commute.isNilpotent_mul_right", "Commute.isNilpotent_mul_right_iff", "Commute.isNilpotent_sub", "Commute.isNilpotent_sum", "Commute.isOfFinOrder_mul", "Commute.isRegular_iff", "Commute.isRightRegular_iff", "Commute.isUnit_mul_iff", "Commute.left_comm", "Commute.lie_eq", "Commute.list_prod_left", "Commute.list_prod_right", "Commute.list_sum_left", "Commute.list_sum_right", "Commute.map", "Commute.mul_div_mul_comm", "Commute.mul_geom_sum\u2082", "Commute.mul_geom_sum\u2082_Ico", "Commute.mul_inv", "Commute.mul_inv_cancel", "Commute.mul_inv_cancel_assoc", "Commute.mul_left", "Commute.mul_mul_mul_comm", "Commute.mul_neg_geom_sum\u2082", "Commute.mul_pow", "Commute.mul_self_eq_mul_self_iff", "Commute.mul_self_sub_mul_self_eq", "Commute.mul_self_sub_mul_self_eq'", "Commute.mul_zpow", "Commute.multiset_sum_left", "Commute.multiset_sum_right", "Commute.natCast_mul_left", "Commute.natCast_mul_natCast_mul", "Commute.neg_left", "Commute.neg_left_iff", "Commute.neg_one_left", "Commute.neg_one_right", "Commute.neg_right", "Commute.neg_right_iff", "Commute.ofNat_left", "Commute.ofNat_right", "Commute.of_map", "Commute.of_orderOf_dvd_two", "Commute.one_div_add_one_div", "Commute.op", "Commute.orderOf_dvd_lcm_mul", "Commute.orderOf_mul_dvd_lcm", "Commute.orderOf_mul_dvd_mul_orderOf", "Commute.orderOf_mul_eq_mul_orderOf_of_coprime", "Commute.orderOf_mul_eq_right_of_forall_prime_mul_dvd", "Commute.orderOf_mul_pow_eq_lcm", "Commute.pi", "Commute.pow_dvd_add_pow_of_pow_eq_zero_left", "Commute.pow_dvd_add_pow_of_pow_eq_zero_right", "Commute.pow_dvd_pow_of_add_pow_eq_zero", "Commute.pow_dvd_pow_of_sub_pow_eq_zero", "Commute.pow_dvd_sub_pow_of_pow_eq_zero_left", "Commute.pow_eq_pow_iff_of_coprime", "Commute.pow_left", "Commute.pow_pow", "Commute.pow_pow_self", "Commute.pow_right", "Commute.pow_self", "Commute.prod", "Commute.refl", "Commute.right_comm", "Commute.ring_inverse_ring_inverse", "Commute.self_natCast_mul", "Commute.self_natCast_mul_natCast_mul", "Commute.self_zpow", "Commute.self_zpow\u2080", "Commute.semiconjBy", "Commute.smul_left", "Commute.smul_left_iff", "Commute.smul_left_iff\u2080", "Commute.smul_right", "Commute.sq_eq_sq_iff_eq_or_eq_neg", "Commute.sq_sub_sq", "Commute.sub_dvd_pow_sub_pow", "Commute.sum_left", "Commute.sum_right", "Commute.symm", "Commute.tprod", "Commute.tsum_left", "Commute.tsum_right", "Commute.units_inv_left", "Commute.units_inv_left_iff", "Commute.units_inv_right", "Commute.units_inv_right_iff", "Commute.units_of_val", "Commute.units_val", "Commute.units_val_iff", "Commute.units_zpow_left", "Commute.units_zpow_right", "Commute.unop", "Commute.zero_left", "Commute.zero_right", "Commute.zpow_left", "Commute.zpow_right", "Commute.zpow_right\u2080", "Commute.zpow_zpow_self", "Commute.zpow_zpow_self\u2080", "Commute.zpow_zpow\u2080", "Comon_.comp_hom'", "Comon_.comul_assoc_flip", "Comon_.comul_counit_hom", "Comon_.counit_comul_hom", "Comon_.ext", "Comon_.forgetMonoidal_\u03bc", "Comon_.id_hom'", "Comon_.tensorObj_X", "Comon_.tensorObj_comul", "Comon_.tensorObj_comul'", "Comon_.tensorObj_counit", "Comp.seq_mk", "CompHaus.Gleason", "CompHaus.Sigma.\u03b9_comp_toFiniteCoproduct", "CompHaus.coe_of", "CompHaus.effectiveEpiFamily_of_jointly_surjective", "CompHaus.effectiveEpiFamily_tfae", "CompHaus.epi_iff_surjective", "CompHaus.finiteCoproduct.hom_ext", "CompHaus.finiteCoproduct.\u03b9_desc", "CompHaus.finiteCoproduct.\u03b9_desc_apply", "CompHaus.finiteCoproduct.\u03b9_injective", "CompHaus.finiteCoproduct.\u03b9_jointly_surjective", "CompHaus.isClosedMap", "CompHaus.isIso_of_bijective", "CompHaus.lift_lifts", "CompHaus.mono_iff_injective", "CompHaus.pullback.condition", "CompHaus.pullback.hom_ext", "CompHaus.pullback.lift_snd", "CompHaus.pullback_fst_eq", "CompHaus.pullback_snd_eq", "CompHaus.toProfinite_obj'", "CompHausLike.coe_comp", "CompHausLike.coe_id", "CompHausLike.coe_of", "CompHausLike.epi_of_surjective", "CompHausLike.isClosedMap", "CompHausLike.isIso_of_bijective", "CompHausLike.mono_iff_injective", "CompTriple.comp", "CompTriple.comp_apply", "CompTriple.comp_inv", "CompactExhaustion.exists_mem", "CompactExhaustion.exists_superset_of_isCompact", "CompactExhaustion.hasAntitoneBasis_compactConvergenceUniformity", "CompactExhaustion.hasBasis_compactConvergenceUniformity", "CompactExhaustion.isClosed", "CompactExhaustion.isCompact", "CompactExhaustion.mem_diff_shiftr_find", "CompactExhaustion.mem_find", "CompactExhaustion.mem_iff_find_le", "CompactExhaustion.subset_interior", "CompactExhaustion.subset_succ", "CompactExhaustion.toFun_eq_coe", "CompactSpace.elim_nhds_subcover", "CompactSpace.tendsto_subseq", "CompactSpace.uniformContinuous_of_continuous", "CompactSpace.uniformEquicontinuous_of_equicontinuous", "CompactT2.ExtremallyDisconnected.projective", "CompactT2.Projective.extremallyDisconnected", "CompactT2.projective_iff_extremallyDisconnected", "CompactlySupportedContinuousMap.add_apply", "CompactlySupportedContinuousMap.coe_add", "CompactlySupportedContinuousMap.coe_comp_to_continuous_fun", "CompactlySupportedContinuousMap.coe_copy", "CompactlySupportedContinuousMap.coe_mk", "CompactlySupportedContinuousMap.coe_mul", "CompactlySupportedContinuousMap.coe_smul", "CompactlySupportedContinuousMap.coe_smulc", "CompactlySupportedContinuousMap.coe_star", "CompactlySupportedContinuousMap.coe_sum", "CompactlySupportedContinuousMap.coe_toContinuousMap", "CompactlySupportedContinuousMap.coe_zero", "CompactlySupportedContinuousMap.comp_assoc", "CompactlySupportedContinuousMap.comp_id", "CompactlySupportedContinuousMap.copy_eq", "CompactlySupportedContinuousMap.eq_of_empty", "CompactlySupportedContinuousMap.ext", "CompactlySupportedContinuousMap.mul_apply", "CompactlySupportedContinuousMap.star_apply", "CompactlySupportedContinuousMap.sum_apply", "Compactum.basic_inter", "Compactum.cl_cl", "Compactum.cl_eq_closure", "Compactum.continuous_of_hom", "Compactum.isClosed_cl", "Compactum.isClosed_iff", "Compactum.join_distrib", "Compactum.str_eq_of_le_nhds", "Compactum.str_hom_commute", "Compactum.str_incl", "Compactum.subset_cl", "Complementeds.codisjoint_coe", "Complementeds.coe_bot", "Complementeds.coe_inj", "Complementeds.coe_injective", "Complementeds.coe_le_coe", "Complementeds.coe_lt_coe", "Complementeds.coe_sup", "Complementeds.coe_top", "Complementeds.disjoint_coe", "Complementeds.isCompl_coe", "Complementeds.mk_inf_mk", "Complementeds.mk_sup_mk", "Complementeds.mk_top", "CompleteLat.coe_of", "CompleteLattice.Iic_coatomic_of_compact_element", "CompleteLattice.Independent.comp", "CompleteLattice.Independent.comp'", "CompleteLattice.Independent.dfinsupp_lsum_injective", "CompleteLattice.Independent.dfinsupp_sumAddHom_injective", "CompleteLattice.Independent.disjoint_biSup", "CompleteLattice.Independent.injOn", "CompleteLattice.Independent.injective", "CompleteLattice.Independent.linearIndependent", "CompleteLattice.Independent.mono", "CompleteLattice.Independent.pairwiseDisjoint", "CompleteLattice.Independent.setIndependent_range", "CompleteLattice.Independent.subtype_ne_bot_le_finrank_aux", "CompleteLattice.Independent.subtype_ne_bot_le_rank", "CompleteLattice.Independent.supIndep'", "CompleteLattice.IsCompactElement.directed_sSup_lt_of_lt", "CompleteLattice.IsCompactElement.exists_finset_of_le_iSup", "CompleteLattice.IsSupClosedCompact.wellFounded", "CompleteLattice.IsSupFiniteCompact.isSupClosedCompact", "CompleteLattice.SetIndependent.disjoint_sSup", "CompleteLattice.SetIndependent.pairwiseDisjoint", "CompleteLattice.WellFounded.finite_ne_bot_of_independent", "CompleteLattice.WellFounded.finite_of_independent", "CompleteLattice.WellFounded.finite_of_setIndependent", "CompleteLattice.WellFounded.isSupFiniteCompact", "CompleteLattice.coatomic_of_top_compact", "CompleteLattice.iSup_continuous", "CompleteLattice.independent_def", "CompleteLattice.independent_def'", "CompleteLattice.independent_empty", "CompleteLattice.independent_iff_dfinsupp_lsum_injective", "CompleteLattice.independent_iff_dfinsupp_sumAddHom_injective", "CompleteLattice.independent_iff_forall_dfinsupp", "CompleteLattice.independent_iff_linearIndependent_of_ne_zero", "CompleteLattice.independent_iff_pairwiseDisjoint", "CompleteLattice.independent_iff_supIndep", "CompleteLattice.independent_iff_supIndep_of_injOn", "CompleteLattice.independent_iff_supIndep_univ", "CompleteLattice.independent_map_orderIso_iff", "CompleteLattice.independent_ne_bot_iff_independent", "CompleteLattice.independent_of_dfinsupp_lsum_injective", "CompleteLattice.independent_of_dfinsupp_sumAddHom_injective", "CompleteLattice.independent_of_dfinsupp_sumAddHom_injective'", "CompleteLattice.independent_of_independent_coe_Iic_comp", "CompleteLattice.independent_pair", "CompleteLattice.independent_pempty", "CompleteLattice.independent_sUnion_of_directed", "CompleteLattice.inf_continuous", "CompleteLattice.isCompactElement_finsetSup", "CompleteLattice.isCompactElement_iff", "CompleteLattice.isCompactElement_iff_le_of_directed_sSup_le", "CompleteLattice.isCompactlyGenerated_of_wellFounded", "CompleteLattice.isSupFiniteCompact_iff_all_elements_compact", "CompleteLattice.isSupFiniteCompact_iff_isSupClosedCompact", "CompleteLattice.lsum_comp_mapRange_toSpanSingleton", "CompleteLattice.sSup_continuous", "CompleteLattice.sSup_continuous'", "CompleteLattice.setIndependent_empty", "CompleteLattice.setIndependent_iUnion_of_directed", "CompleteLattice.setIndependent_iff", "CompleteLattice.setIndependent_iff_finite", "CompleteLattice.setIndependent_pair", "CompleteLattice.setIndependent_singleton", "CompleteLattice.sup_continuous", "CompleteLattice.top_continuous", "CompleteLattice.wellFounded_characterisations", "CompleteLattice.wellFounded_iff_isSupFiniteCompact", "CompleteLatticeHom.cancel_right", "CompleteLatticeHom.coe_comp", "CompleteLatticeHom.coe_copy", "CompleteLatticeHom.coe_id", "CompleteLatticeHom.coe_mk", "CompleteLatticeHom.coe_toBoundedLatticeHom", "CompleteLatticeHom.coe_tosInfHom", "CompleteLatticeHom.comp_apply", "CompleteLatticeHom.comp_assoc", "CompleteLatticeHom.copy_eq", "CompleteLatticeHom.dual_comp", "CompleteLatticeHom.dual_id", "CompleteLatticeHom.id_apply", "CompleteLatticeHom.id_comp", "CompleteLatticeHom.setPreimage_apply", "CompleteLatticeHom.setPreimage_comp", "CompleteLatticeHom.setPreimage_id", "CompleteLatticeHom.symm_dual_id", "CompleteLatticeHom.toFun_eq_coe", "CompletePartialOrder.scottContinuous", "CompletePseudometrizable.iInf", "CompleteSpace.fst_of_prod", "CompleteSpace.iInf", "CompleteSpace.snd_of_prod", "CompleteSublattice.codisjoint_iff", "CompleteSublattice.coe_copy", "CompleteSublattice.coe_sInf", "CompleteSublattice.coe_sInf'", "CompleteSublattice.coe_sSup", "CompleteSublattice.coe_sSup'", "CompleteSublattice.copy_eq", "CompleteSublattice.disjoint_iff", "CompleteSublattice.isCompl_iff", "CompleteSublattice.isComplemented_iff", "CompleteSublattice.sSupClosed", "CompletelyRegularSpace.exists_BCNN", "Complex.AbsTheory.abs_add", "Complex.AbsTheory.abs_nonneg'", "Complex.AbsTheory.abs_re_le_abs", "Complex.AbsTheory.mul_self_abs", "Complex.GammaAux_recurrence1", "Complex.GammaAux_recurrence2", "Complex.GammaIntegral_add_one", "Complex.GammaIntegral_conj", "Complex.GammaIntegral_convergent", "Complex.GammaIntegral_eq_mellin", "Complex.GammaIntegral_ofReal", "Complex.GammaIntegral_one", "Complex.GammaSeq_add_one_left", "Complex.GammaSeq_eq_approx_Gamma_integral", "Complex.GammaSeq_eq_betaIntegral_of_re_pos", "Complex.GammaSeq_mul", "Complex.GammaSeq_tendsto_Gamma", "Complex.Gamma_add_one", "Complex.Gamma_conj", "Complex.Gamma_eq_GammaAux", "Complex.Gamma_eq_integral", "Complex.Gamma_eq_zero_iff", "Complex.Gamma_integrand_deriv_integrable_A", "Complex.Gamma_integrand_deriv_integrable_B", "Complex.Gamma_integrand_interval_integrable", "Complex.Gamma_mul_Gamma_add_half", "Complex.Gamma_mul_Gamma_eq_betaIntegral", "Complex.Gamma_mul_Gamma_one_sub", "Complex.Gamma_nat_eq_factorial", "Complex.Gamma_ne_zero", "Complex.Gamma_ne_zero_of_re_pos", "Complex.Gamma_neg_nat_eq_zero", "Complex.Gamma_ofReal", "Complex.Gamma_one", "Complex.Gamma_one_half_eq", "Complex.Gamma_zero", "Complex.Gamma\u2102_add_one", "Complex.Gamma\u2102_def", "Complex.Gamma\u2102_one", "Complex.Gamma\u211d_add_two", "Complex.Gamma\u211d_def", "Complex.Gamma\u211d_div_Gamma\u211d_one_sub", "Complex.Gamma\u211d_eq_zero_iff", "Complex.Gamma\u211d_mul_Gamma\u211d_add_one", "Complex.Gamma\u211d_ne_zero_of_re_pos", "Complex.Gamma\u211d_one", "Complex.Gamma\u211d_one_sub_mul_Gamma\u211d_one_add", "Complex.Gamma\u211d_residue_zero", "Complex.HadamardThreeLines.F_BddAbove", "Complex.HadamardThreeLines.F_edge_le_one", "Complex.HadamardThreeLines.abs_invInterpStrip", "Complex.HadamardThreeLines.diffContOnCl_interpStrip", "Complex.HadamardThreeLines.diffContOnCl_invInterpStrip", "Complex.HadamardThreeLines.eventuallyle", "Complex.HadamardThreeLines.interpStrip_eq_of_mem_verticalStrip", "Complex.HadamardThreeLines.interpStrip_eq_of_pos", "Complex.HadamardThreeLines.interpStrip_eq_of_zero", "Complex.HadamardThreeLines.norm_le_interpStrip_of_mem_verticalClosedStrip", "Complex.HadamardThreeLines.norm_le_interpStrip_of_mem_verticalClosedStrip_eps", "Complex.HadamardThreeLines.norm_le_interpStrip_of_mem_verticalStrip_zero", "Complex.HadamardThreeLines.norm_le_interp_of_mem_verticalClosedStrip'", "Complex.HadamardThreeLines.norm_le_sSupNormIm", "Complex.HadamardThreeLines.norm_lt_sSupNormIm_eps", "Complex.HadamardThreeLines.norm_mul_invInterpStrip_le_one_of_mem_verticalClosedStrip", "Complex.HadamardThreeLines.sSupNormIm_eps_pos", "Complex.HadamardThreeLines.sSupNormIm_nonneg", "Complex.HasDerivAt.complex_of_real", "Complex.I_im", "Complex.I_mul", "Complex.I_mul_I", "Complex.I_mul_im", "Complex.I_ne_zero", "Complex.I_pow_bit0", "Complex.I_pow_bit1", "Complex.I_pow_four", "Complex.I_re", "Complex.I_sq", "Complex.IsExpCmpFilter.abs_im_pow_eventuallyLE_exp_re", "Complex.IsExpCmpFilter.eventually_ne", "Complex.IsExpCmpFilter.isLittleO_cpow_exp", "Complex.IsExpCmpFilter.isLittleO_cpow_mul_exp", "Complex.IsExpCmpFilter.isLittleO_im_pow_exp_re", "Complex.IsExpCmpFilter.isLittleO_log_abs_re", "Complex.IsExpCmpFilter.isLittleO_log_re_re", "Complex.IsExpCmpFilter.isLittleO_pow_mul_exp", "Complex.IsExpCmpFilter.isLittleO_zpow_mul_exp", "Complex.IsExpCmpFilter.isTheta_cpow_exp_re_mul_log", "Complex.IsExpCmpFilter.of_boundedUnder_abs_im", "Complex.IsExpCmpFilter.of_boundedUnder_im", "Complex.IsExpCmpFilter.of_isBigO_im_re_pow", "Complex.IsExpCmpFilter.of_isBigO_im_re_rpow", "Complex.IsExpCmpFilter.tendsto_abs_re", "Complex.UnitDisc.abs_lt_one", "Complex.UnitDisc.abs_ne_one", "Complex.UnitDisc.coe_eq_zero", "Complex.UnitDisc.coe_mk", "Complex.UnitDisc.coe_mul", "Complex.UnitDisc.coe_ne_neg_one", "Complex.UnitDisc.coe_smul_circle", "Complex.UnitDisc.coe_smul_closedBall", "Complex.UnitDisc.coe_zero", "Complex.UnitDisc.conj_mul", "Complex.UnitDisc.conj_neg", "Complex.UnitDisc.conj_zero", "Complex.UnitDisc.im_coe", "Complex.UnitDisc.im_conj", "Complex.UnitDisc.mk_neg", "Complex.UnitDisc.normSq_lt_one", "Complex.UnitDisc.one_add_coe_ne_zero", "Complex.UnitDisc.re_neg", "Complex.abel_aux", "Complex.abs_I", "Complex.abs_abs", "Complex.abs_add_eq", "Complex.abs_add_eq_iff", "Complex.abs_arg_inv", "Complex.abs_arg_le_pi", "Complex.abs_arg_le_pi_div_two_iff", "Complex.abs_arg_lt_pi_div_two_iff", "Complex.abs_circleTransformBoundingFunction_le", "Complex.abs_conj", "Complex.abs_cos_add_sin_mul_I", "Complex.abs_cpow_eq_rpow_re_of_nonneg", "Complex.abs_cpow_eq_rpow_re_of_pos", "Complex.abs_cpow_inv_two_im", "Complex.abs_cpow_le", "Complex.abs_cpow_of_imp", "Complex.abs_cpow_of_ne_zero", "Complex.abs_def", "Complex.abs_deriv_le_div_of_mapsTo_ball", "Complex.abs_eq_one_iff", "Complex.abs_eq_one_iff'", "Complex.abs_eq_sqrt_sq_add_sq", "Complex.abs_exp", "Complex.abs_exp_mul_exp_add_exp_neg_le_of_abs_im_le", "Complex.abs_exp_ofReal", "Complex.abs_exp_ofReal_mul_I", "Complex.abs_exp_sub_one_le", "Complex.abs_exp_sub_one_sub_id_le", "Complex.abs_im_div_abs_le_one", "Complex.abs_im_eq_abs", "Complex.abs_im_le_abs", "Complex.abs_im_lt_abs", "Complex.abs_intCast", "Complex.abs_le_abs_of_mapsTo_ball_self", "Complex.abs_le_abs_re_add_abs_im", "Complex.abs_le_sqrt_two_mul_max", "Complex.abs_mul_cos_add_sin_mul_I", "Complex.abs_mul_cos_arg", "Complex.abs_mul_exp_arg_mul_I", "Complex.abs_mul_sin_arg", "Complex.abs_natCast", "Complex.abs_ofReal", "Complex.abs_of_nonneg", "Complex.abs_pow", "Complex.abs_prod", "Complex.abs_re_div_abs_le_one", "Complex.abs_re_eq_abs", "Complex.abs_re_le_abs", "Complex.abs_re_lt_abs", "Complex.abs_sub_eq", "Complex.abs_sub_eq_iff", "Complex.abs_two", "Complex.abs_zpow", "Complex.add_conj", "Complex.add_im", "Complex.add_re", "Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div", "Complex.affine_of_mapsTo_ball_of_exists_norm_dslope_eq_div'", "Complex.algHom_ext", "Complex.analyticAt_iff_eventually_differentiableAt", "Complex.analyticAt_of_differentiable_on_punctured_nhds_of_continuousAt", "Complex.analyticOn_univ_iff_differentiable", "Complex.angle_div_left_eq_angle_mul_right", "Complex.angle_div_right_eq_angle_mul_left", "Complex.angle_eq_abs_arg", "Complex.angle_exp_exp", "Complex.angle_le_mul_norm_sub", "Complex.angle_mul_left", "Complex.angle_mul_right", "Complex.antilipschitz_equivRealProd", "Complex.approx_Gamma_integral_tendsto_Gamma_integral", "Complex.arctan_tan", "Complex.areaForm", "Complex.arg_I", "Complex.arg_coe_angle_eq_iff", "Complex.arg_coe_angle_eq_iff_eq_toReal", "Complex.arg_coe_angle_toReal_eq_arg", "Complex.arg_conj", "Complex.arg_conj_coe_angle", "Complex.arg_cos_add_sin_mul_I", "Complex.arg_cos_add_sin_mul_I_coe_angle", "Complex.arg_cos_add_sin_mul_I_eq_toIocMod", "Complex.arg_cos_add_sin_mul_I_sub", "Complex.arg_div_coe_angle", "Complex.arg_eq_arg_iff", "Complex.arg_eq_neg_pi_div_two_iff", "Complex.arg_eq_nhds_of_im_neg", "Complex.arg_eq_nhds_of_re_neg_of_im_neg", "Complex.arg_eq_nhds_of_re_neg_of_im_pos", "Complex.arg_eq_pi_div_two_iff", "Complex.arg_eq_pi_iff", "Complex.arg_eq_pi_iff_lt_zero", "Complex.arg_eq_zero_iff", "Complex.arg_eq_zero_iff_zero_le", "Complex.arg_exp_mul_I", "Complex.arg_inv", "Complex.arg_inv_coe_angle", "Complex.arg_le_pi", "Complex.arg_le_pi_div_two_iff", "Complex.arg_lt_pi_div_two_iff", "Complex.arg_lt_pi_iff", "Complex.arg_mem_Ioc", "Complex.arg_mul_coe_angle", "Complex.arg_mul_cos_add_sin_mul_I", "Complex.arg_mul_cos_add_sin_mul_I_coe_angle", "Complex.arg_mul_cos_add_sin_mul_I_eq_toIocMod", "Complex.arg_mul_cos_add_sin_mul_I_sub", "Complex.arg_mul_eq_add_arg_iff", "Complex.arg_mul_real", "Complex.arg_neg_I", "Complex.arg_neg_coe_angle", "Complex.arg_neg_eq_arg_add_pi_iff", "Complex.arg_neg_eq_arg_add_pi_of_im_neg", "Complex.arg_neg_eq_arg_sub_pi_iff", "Complex.arg_neg_eq_arg_sub_pi_of_im_pos", "Complex.arg_neg_one", "Complex.arg_nonneg_iff", "Complex.arg_ofReal_of_nonneg", "Complex.arg_of_im_neg", "Complex.arg_of_im_nonneg_of_ne_zero", "Complex.arg_of_re_neg_of_im_neg", "Complex.arg_of_re_neg_of_im_nonneg", "Complex.arg_of_re_nonneg", "Complex.arg_one", "Complex.arg_one_add_mem_Ioo", "Complex.arg_real_mul", "Complex.arg_zero", "Complex.ball_one_subset_slitPlane", "Complex.betaIntegral_convergent", "Complex.betaIntegral_convergent_left", "Complex.betaIntegral_eval_nat_add_one_right", "Complex.betaIntegral_eval_one_right", "Complex.betaIntegral_recurrence", "Complex.betaIntegral_scaled", "Complex.betaIntegral_symm", "Complex.card_primitiveRoots", "Complex.card_rootsOfUnity", "Complex.cderiv_eq_deriv", "Complex.cderiv_sub", "Complex.circleIntegral_div_sub_of_differentiable_on_off_countable", "Complex.circleIntegral_eq_of_differentiable_on_annulus_off_countable", "Complex.circleIntegral_eq_zero_of_differentiable_on_off_countable", "Complex.circleIntegral_sub_center_inv_smul_eq_of_differentiable_on_annulus_off_countable", "Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable", "Complex.circleIntegral_sub_center_inv_smul_of_differentiable_on_off_countable_of_tendsto", "Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable", "Complex.circleIntegral_sub_inv_smul_of_differentiable_on_off_countable_aux", "Complex.circleTransformDeriv_bound", "Complex.circleTransformDeriv_eq", "Complex.circleTransformDeriv_periodic", "Complex.closure_preimage_im", "Complex.closure_reProdIm", "Complex.closure_setOf_im_lt", "Complex.closure_setOf_lt_im", "Complex.closure_setOf_lt_re", "Complex.closure_setOf_re_lt", "Complex.coe_algebraMap", "Complex.coe_basisOneI", "Complex.coe_basisOneI_repr", "Complex.coe_imAddGroupHom", "Complex.coe_realPart", "Complex.coe_selfAdjointEquiv", "Complex.coe_smul", "Complex.comap_abs_nhds_zero", "Complex.comap_exp_nhdsWithin_zero", "Complex.comap_exp_nhds_zero", "Complex.compl_Iic_zero", "Complex.conjCLE_coe", "Complex.conjCLE_nnorm", "Complex.conjCLE_norm", "Complex.conjLIE_apply", "Complex.conjLIE_symm", "Complex.conj_I", "Complex.conj_cpow", "Complex.conj_cpow_eq_ite", "Complex.conj_eq_iff_im", "Complex.conj_eq_iff_re", "Complex.conj_im", "Complex.conj_mul'", "Complex.conj_natCast", "Complex.conj_neg_I", "Complex.conj_ofNat", "Complex.conj_ofReal", "Complex.conj_re", "Complex.contDiffAt_tan", "Complex.contDiff_cos", "Complex.contDiff_cosh", "Complex.contDiff_exp", "Complex.contDiff_sin", "Complex.continuousAt_arg", "Complex.continuousAt_arg_coe_angle", "Complex.continuousAt_cpow_const_of_re_pos", "Complex.continuousAt_cpow_of_re_pos", "Complex.continuousAt_cpow_zero_of_re_pos", "Complex.continuousAt_ofReal_cpow", "Complex.continuousAt_ofReal_cpow_const", "Complex.continuousAt_tan", "Complex.continuousOn_abs_circleTransformBoundingFunction", "Complex.continuousOn_cos", "Complex.continuousOn_exp", "Complex.continuousOn_one_add_mul_inv", "Complex.continuousOn_prod_circle_transform_function", "Complex.continuousOn_tan", "Complex.continuousWithinAt_arg_of_re_neg_of_im_zero", "Complex.continuousWithinAt_log_of_re_neg_of_im_zero", "Complex.continuous_circleTransform", "Complex.continuous_circleTransformDeriv", "Complex.continuous_conj", "Complex.continuous_cos", "Complex.continuous_cosh", "Complex.continuous_exp", "Complex.continuous_im", "Complex.continuous_ofReal", "Complex.continuous_ofReal_cpow_const", "Complex.continuous_re", "Complex.continuous_sinh", "Complex.continuous_tan", "Complex.convexHull_reProdIm", "Complex.cos_add", "Complex.cos_add_aux", "Complex.cos_add_cos", "Complex.cos_add_mul_I", "Complex.cos_add_nat_mul_two_pi", "Complex.cos_add_pi", "Complex.cos_add_pi_div_two", "Complex.cos_add_sin_I", "Complex.cos_add_sin_mul_I_pow", "Complex.cos_antiperiodic", "Complex.cos_arg", "Complex.cos_conj", "Complex.cos_eq", "Complex.cos_eq_cos_iff", "Complex.cos_eq_iff_quadratic", "Complex.cos_eq_neg_one_iff", "Complex.cos_eq_one_iff", "Complex.cos_eq_tsum", "Complex.cos_eq_tsum'", "Complex.cos_eq_zero_iff", "Complex.cos_int_mul_two_pi", "Complex.cos_int_mul_two_pi_add_pi", "Complex.cos_int_mul_two_pi_sub_pi", "Complex.cos_mul_I", "Complex.cos_nat_mul_two_pi", "Complex.cos_nat_mul_two_pi_add_pi", "Complex.cos_ne_zero_iff", "Complex.cos_ne_zero_of_arctan_bounds", "Complex.cos_neg", "Complex.cos_ofReal_re", "Complex.cos_pi", "Complex.cos_pi_div_two_sub", "Complex.cos_pi_sub", "Complex.cos_sq", "Complex.cos_sq'", "Complex.cos_sq_add_sin_sq", "Complex.cos_sub", "Complex.cos_sub_cos", "Complex.cos_sub_int_mul_two_pi", "Complex.cos_sub_nat_mul_two_pi", "Complex.cos_sub_pi", "Complex.cos_sub_pi_div_two", "Complex.cos_sub_sin_I", "Complex.cos_surjective", "Complex.cos_three_mul", "Complex.cos_two_mul", "Complex.cos_two_mul'", "Complex.cos_two_pi", "Complex.cos_zero", "Complex.cosh_add", "Complex.cosh_add_aux", "Complex.cosh_add_sinh", "Complex.cosh_conj", "Complex.cosh_mul_I", "Complex.cosh_neg", "Complex.cosh_ofReal_re", "Complex.cosh_sq", "Complex.cosh_sq_sub_sinh_sq", "Complex.cosh_sub", "Complex.cosh_sub_sinh", "Complex.cosh_three_mul", "Complex.cosh_two_mul", "Complex.countable_preimage_exp", "Complex.cpow_add", "Complex.cpow_conj", "Complex.cpow_def", "Complex.cpow_def_of_ne_zero", "Complex.cpow_eq_zero_iff", "Complex.cpow_intCast", "Complex.cpow_int_mul", "Complex.cpow_int_mul'", "Complex.cpow_inv_two_im_eq_neg_sqrt", "Complex.cpow_inv_two_im_eq_sqrt", "Complex.cpow_inv_two_re", "Complex.cpow_mul", "Complex.cpow_mul_int", "Complex.cpow_mul_nat", "Complex.cpow_mul_ofNat", "Complex.cpow_mul_ofReal_nonneg", "Complex.cpow_natCast", "Complex.cpow_nat_inv_pow", "Complex.cpow_nat_mul", "Complex.cpow_nat_mul'", "Complex.cpow_neg", "Complex.cpow_neg_one", "Complex.cpow_ofNat_inv_pow", "Complex.cpow_ofNat_mul", "Complex.cpow_ofReal", "Complex.cpow_ofReal_im", "Complex.cpow_ofReal_re", "Complex.cpow_one", "Complex.cpow_sub", "Complex.cpow_zero", "Complex.deriv_Gamma_nat", "Complex.deriv_cos", "Complex.deriv_cos'", "Complex.deriv_cosh", "Complex.deriv_eq_smul_circleIntegral", "Complex.deriv_exp", "Complex.deriv_sinh", "Complex.deriv_tan", "Complex.det_conjAe", "Complex.differentiableAt_Gamma", "Complex.differentiableAt_GammaAux", "Complex.differentiableAt_cosh", "Complex.differentiableAt_exp", "Complex.differentiableAt_log", "Complex.differentiableAt_sin", "Complex.differentiableAt_sinh", "Complex.differentiableOn_compl_singleton_and_continuousAt_iff", "Complex.differentiableOn_dslope", "Complex.differentiableOn_tsum_of_summable_norm", "Complex.differentiableOn_update_limUnder_insert_of_isLittleO", "Complex.differentiableOn_update_limUnder_of_bddAbove", "Complex.differentiableOn_update_limUnder_of_isLittleO", "Complex.differentiable_Gamma\u211d_inv", "Complex.differentiable_at_Gamma_nat_add_one", "Complex.differentiable_cos", "Complex.differentiable_cosh", "Complex.differentiable_exp", "Complex.differentiable_one_div_Gamma", "Complex.differentiable_sin", "Complex.differentiable_sinh", "Complex.dist_conj_comm", "Complex.dist_conj_conj", "Complex.dist_conj_self", "Complex.dist_eq", "Complex.dist_eq_re_im", "Complex.dist_le_dist_of_mapsTo_ball_self", "Complex.dist_le_div_mul_dist_of_mapsTo_ball", "Complex.dist_mk", "Complex.dist_of_im_eq", "Complex.dist_of_re_eq", "Complex.dist_self_conj", "Complex.div_I", "Complex.div_im", "Complex.div_intCast", "Complex.div_intCast_im", "Complex.div_intCast_re", "Complex.div_natCast_re", "Complex.div_ofNat", "Complex.div_ofNat_im", "Complex.div_ofNat_re", "Complex.div_ofReal", "Complex.div_ratCast", "Complex.div_ratCast_im", "Complex.div_ratCast_re", "Complex.div_re", "Complex.edist_of_im_eq", "Complex.edist_of_re_eq", "Complex.eqOn_closure_of_eqOn_frontier", "Complex.eqOn_closure_of_isPreconnected_of_isMaxOn_norm", "Complex.eqOn_of_eqOn_frontier", "Complex.eqOn_of_isPreconnected_of_isMaxOn_norm", "Complex.eq_coe_norm_of_nonneg", "Complex.eq_re_of_ofReal_le", "Complex.eq_zero_cpow_iff", "Complex.equivRealProdLm_symm_apply", "Complex.equivRealProd_apply_le", "Complex.equivRealProd_apply_le'", "Complex.equivRealProd_symm_apply", "Complex.equiv_limAux", "Complex.eventually_eq_of_isLocalMax_norm", "Complex.eventually_eq_or_eq_zero_of_isLocalMin_norm", "Complex.exists_cthickening_tendstoUniformlyOn", "Complex.exists_mem_frontier_isMaxOn_norm", "Complex.exists_norm_eq_mul_self", "Complex.exists_norm_mul_eq_self", "Complex.exp_add", "Complex.exp_add_mul_I", "Complex.exp_add_pi_mul_I", "Complex.exp_antiperiodic", "Complex.exp_bound", "Complex.exp_bound'", "Complex.exp_conj", "Complex.exp_eq_exp_iff_exists_int", "Complex.exp_eq_exp_iff_exp_sub_eq_one", "Complex.exp_eq_exp_re_mul_sin_add_cos", "Complex.exp_eq_exp_\u2102", "Complex.exp_eq_one_iff", "Complex.exp_im", "Complex.exp_inj_of_neg_pi_lt_of_le_pi", "Complex.exp_int_mul", "Complex.exp_int_mul_two_pi_mul_I", "Complex.exp_log", "Complex.exp_mul_I", "Complex.exp_mul_I_antiperiodic", "Complex.exp_mul_I_periodic", "Complex.exp_nat_mul", "Complex.exp_ne_zero", "Complex.exp_neg", "Complex.exp_nsmul", "Complex.exp_ofReal_im", "Complex.exp_ofReal_mul_I_im", "Complex.exp_ofReal_mul_I_re", "Complex.exp_ofReal_re", "Complex.exp_periodic", "Complex.exp_pi_mul_I", "Complex.exp_re", "Complex.exp_sub", "Complex.exp_sub_cosh", "Complex.exp_sub_pi_mul_I", "Complex.exp_sub_sinh", "Complex.exp_sub_sum_range_isBigO_pow", "Complex.exp_sub_sum_range_succ_isLittleO_pow", "Complex.exp_sum", "Complex.exp_two_pi_mul_I", "Complex.exp_zero", "Complex.ext", "Complex.ext_abs_arg", "Complex.ext_abs_arg_iff", "Complex.ext_iff", "Complex.finrank_real_complex", "Complex.frontier_preimage_im", "Complex.frontier_preimage_re", "Complex.frontier_reProdIm", "Complex.frontier_setOf_im_le", "Complex.frontier_setOf_im_lt", "Complex.frontier_setOf_le_im", "Complex.frontier_setOf_le_re", "Complex.frontier_setOf_le_re_and_im_le", "Complex.frontier_setOf_le_re_and_le_im", "Complex.frontier_setOf_lt_im", "Complex.frontier_setOf_lt_re", "Complex.frontier_setOf_re_le", "Complex.frontier_setOf_re_lt", "Complex.hasDerivAt_GammaIntegral", "Complex.hasDerivAt_Gamma_nat", "Complex.hasDerivAt_Gamma_one", "Complex.hasDerivAt_Gamma_one_half", "Complex.hasDerivAt_Gamma\u2102_one", "Complex.hasDerivAt_Gamma\u211d_one", "Complex.hasDerivAt_cos", "Complex.hasDerivAt_cosh", "Complex.hasDerivAt_exp", "Complex.hasDerivAt_log", "Complex.hasDerivAt_logTaylor", "Complex.hasDerivAt_log_sub_logTaylor", "Complex.hasDerivAt_sin", "Complex.hasDerivAt_sinh", "Complex.hasFDerivAt_cpow", "Complex.hasFPowerSeriesOnBall_of_differentiable_off_countable", "Complex.hasStrictDerivAt_const_cpow", "Complex.hasStrictDerivAt_cos", "Complex.hasStrictDerivAt_cosh", "Complex.hasStrictDerivAt_cpow_const", "Complex.hasStrictDerivAt_exp", "Complex.hasStrictDerivAt_log", "Complex.hasStrictDerivAt_sin", "Complex.hasStrictDerivAt_sinh", "Complex.hasStrictDerivAt_tan", "Complex.hasStrictFDerivAt_cpow", "Complex.hasStrictFDerivAt_cpow'", "Complex.hasStrictFDerivAt_exp_real", "Complex.hasStrictFDerivAt_log_real", "Complex.hasSum_arctan", "Complex.hasSum_arctan_aux", "Complex.hasSum_conj", "Complex.hasSum_cos", "Complex.hasSum_cos'", "Complex.hasSum_cosh", "Complex.hasSum_deriv_of_summable_norm", "Complex.hasSum_im", "Complex.hasSum_ofReal", "Complex.hasSum_sin", "Complex.hasSum_sin'", "Complex.hasSum_sinh", "Complex.hasSum_taylorSeries_log", "Complex.hasSum_taylorSeries_neg_log", "Complex.hasSum_taylorSeries_of_entire", "Complex.hasSum_taylorSeries_on_ball", "Complex.hasSum_taylorSeries_on_emetric_ball", "Complex.imCLM_apply", "Complex.imCLM_nnnorm", "Complex.imCLM_norm", "Complex.im_eq_sub_conj", "Complex.im_le_abs", "Complex.im_mul_ofReal", "Complex.im_ofNat", "Complex.im_ofReal_mul", "Complex.im_surjective", "Complex.im_tsum", "Complex.inner", "Complex.intCast_re", "Complex.int_cast_abs", "Complex.integrable_pow_mul_norm_one_add_mul_inv", "Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countable", "Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real", "Complex.integral_boundary_rect_of_differentiableOn_real", "Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable", "Complex.integral_circleTransform", "Complex.integral_comp_polarCoord_symm", "Complex.integral_cpow_mul_exp_neg_mul_Ioi", "Complex.integral_exp_neg_mul_rpow", "Complex.integral_exp_neg_rpow", "Complex.integral_rpow_mul_exp_neg_mul_rpow", "Complex.integral_rpow_mul_exp_neg_rpow", "Complex.interior_preimage_im", "Complex.interior_reProdIm", "Complex.interior_setOf_im_le", "Complex.interior_setOf_le_im", "Complex.interior_setOf_re_le", "Complex.inv_Gamma\u211d_one_sub", "Complex.inv_Gamma\u211d_two_sub", "Complex.inv_I", "Complex.inv_cpow", "Complex.inv_cpow_eq_ite", "Complex.inv_cpow_eq_ite'", "Complex.inv_def", "Complex.inv_eq_conj", "Complex.inv_im", "Complex.inv_one_add_tan_sq", "Complex.inv_re", "Complex.inv_zero", "Complex.isBigO_ofReal_left", "Complex.isBigO_ofReal_right", "Complex.isCauSeq_abs_exp", "Complex.isCauSeq_conj", "Complex.isCauSeq_exp", "Complex.isCauSeq_im", "Complex.isCauSeq_re", "Complex.isHomeomorphicTrivialFiberBundle_im", "Complex.isHomeomorphicTrivialFiberBundle_re", "Complex.isLittleO_ofReal_left", "Complex.isLittleO_ofReal_right", "Complex.isOpenMap_im", "Complex.isOpenMap_re", "Complex.isOpen_im_lt_EReal", "Complex.isOpen_setOf_mem_nhds_and_isMaxOn_norm", "Complex.isPrimitiveRoot_exp", "Complex.isPrimitiveRoot_exp_of_coprime", "Complex.isPrimitiveRoot_iff", "Complex.isTheta_cpow_rpow", "Complex.isTheta_exp_arg_mul_im", "Complex.isTheta_ofReal", "Complex.isTheta_ofReal_left", "Complex.isTheta_ofReal_right", "Complex.isometryOfOrthonormal_apply", "Complex.isometryOfOrthonormal_symm_apply", "Complex.isometry_conj", "Complex.isometry_ofReal", "Complex.iter_deriv_exp", "Complex.kahler", "Complex.le_def", "Complex.liftAux_apply", "Complex.liftAux_apply_I", "Complex.liftAux_neg_I", "Complex.lim_conj", "Complex.lim_eq_lim_im_add_lim_re", "Complex.lim_im", "Complex.lim_re", "Complex.linearEquiv_det_conjAe", "Complex.linearEquiv_det_conjLIE", "Complex.liouville_theorem_aux", "Complex.lipschitz_equivRealProd", "Complex.locally_lipschitz_exp", "Complex.logTaylor_succ", "Complex.logTaylor_zero", "Complex.log_I", "Complex.log_conj", "Complex.log_conj_eq_ite", "Complex.log_eq_integral", "Complex.log_exp", "Complex.log_im", "Complex.log_im_le_pi", "Complex.log_inv", "Complex.log_inv_eq_integral", "Complex.log_inv_eq_ite", "Complex.log_mul_eq_add_log_iff", "Complex.log_mul_ofReal", "Complex.log_neg_I", "Complex.log_neg_one", "Complex.log_ofReal_mul", "Complex.log_ofReal_re", "Complex.log_one", "Complex.log_re", "Complex.log_zero", "Complex.lt_def", "Complex.map_exp_comap_re_atBot", "Complex.map_exp_comap_re_atTop", "Complex.map_isometryOfOrthonormal", "Complex.measurableEquivPi_apply", "Complex.measurableEquivPi_symm_apply", "Complex.measurableEquivRealProd_apply", "Complex.measurableEquivRealProd_symm_apply", "Complex.measurable_cosh", "Complex.measurable_im", "Complex.measurable_log", "Complex.measurable_ofReal", "Complex.measurable_re", "Complex.mem_reProdIm", "Complex.mem_rootsOfUnity", "Complex.mem_slitPlane_iff", "Complex.mem_slitPlane_iff_arg", "Complex.mem_slitPlane_iff_not_le_zero", "Complex.mem_slitPlane_of_norm_lt_one", "Complex.mk_eq_add_mul_I", "Complex.mul_I_im", "Complex.mul_angle_le_norm_sub", "Complex.mul_conj", "Complex.mul_conj'", "Complex.mul_cpow_ofReal_nonneg", "Complex.mul_im", "Complex.mul_inv_cancel", "Complex.mul_re", "Complex.natCast_arg", "Complex.natCast_cpow_natCast_mul", "Complex.natCast_im", "Complex.natCast_mem_slitPlane", "Complex.ne_zero_of_one_lt_re", "Complex.neg_im", "Complex.neg_ofReal_mem_slitPlane", "Complex.neg_pi_div_two_le_arg_iff", "Complex.neg_pi_div_two_lt_arg_iff", "Complex.neg_pi_lt_arg", "Complex.neg_pi_lt_log_im", "Complex.neg_re", "Complex.neg_re_eq_abs", "Complex.nhdsWithin_lt_le_nhdsWithin_stolzSet", "Complex.nhdsWithin_stolzCone_le_nhdsWithin_stolzSet", "Complex.nndist_conj_self", "Complex.nndist_of_im_eq", "Complex.nndist_of_re_eq", "Complex.nndist_self_conj", "Complex.nnnorm_eq_one_of_pow_eq_one", "Complex.nonempty_linearEquiv_real", "Complex.nonneg_iff", "Complex.normSq_I", "Complex.normSq_add", "Complex.normSq_add_mul_I", "Complex.normSq_apply", "Complex.normSq_conj", "Complex.normSq_div", "Complex.normSq_eq_abs", "Complex.normSq_eq_conj_mul_self", "Complex.normSq_eq_norm_sq", "Complex.normSq_eq_zero", "Complex.normSq_intCast", "Complex.normSq_mk", "Complex.normSq_mul", "Complex.normSq_neg", "Complex.normSq_nonneg", "Complex.normSq_ofNat", "Complex.normSq_ofReal", "Complex.normSq_one", "Complex.normSq_sub", "Complex.norm_I", "Complex.norm_cderiv_le", "Complex.norm_cderiv_lt", "Complex.norm_deriv_le_aux", "Complex.norm_deriv_le_div_of_mapsTo_ball", "Complex.norm_deriv_le_of_forall_mem_sphere_norm_le", "Complex.norm_dslope_le_div_of_mapsTo_ball", "Complex.norm_eqOn_closedBall_of_isMaxOn", "Complex.norm_eqOn_closure_of_isPreconnected_of_isMaxOn", "Complex.norm_eqOn_of_isPreconnected_of_isMaxOn", "Complex.norm_eq_abs", "Complex.norm_eq_one_of_mem_rootsOfUnity", "Complex.norm_eq_one_of_pow_eq_one", "Complex.norm_eventually_eq_of_isLocalMax", "Complex.norm_eventually_eq_of_mdifferentiableAt_of_isLocalMax", "Complex.norm_int", "Complex.norm_int_of_nonneg", "Complex.norm_le_of_forall_mem_frontier_norm_le", "Complex.norm_log_natCast_le_rpow_div", "Complex.norm_log_one_add_sub_self_le", "Complex.norm_log_one_sub_inv_add_logTaylor_neg_le", "Complex.norm_log_one_sub_inv_sub_self_le", "Complex.norm_log_sub_logTaylor_le", "Complex.norm_max_aux\u2081", "Complex.norm_max_aux\u2082", "Complex.norm_max_aux\u2083", "Complex.norm_nat", "Complex.norm_natCast_cpow_le_norm_natCast_cpow_iff", "Complex.norm_natCast_cpow_le_norm_natCast_cpow_of_pos", "Complex.norm_natCast_cpow_of_pos", "Complex.norm_natCast_cpow_pos_of_pos", "Complex.norm_one_add_mul_inv_le", "Complex.norm_prime_cpow_le_one_half", "Complex.norm_real", "Complex.norm_sub_mem_Icc_angle", "Complex.not_le_iff", "Complex.not_le_zero_iff", "Complex.not_lt_iff", "Complex.oangle", "Complex.ofNat_mem_slitPlane", "Complex.ofRealAm_coe", "Complex.ofRealCLM_apply", "Complex.ofRealCLM_coe", "Complex.ofRealCLM_norm", "Complex.ofReal_add", "Complex.ofReal_arctan", "Complex.ofReal_cos", "Complex.ofReal_cos_ofReal_re", "Complex.ofReal_cosh", "Complex.ofReal_cosh_ofReal_re", "Complex.ofReal_cpow", "Complex.ofReal_cpow_of_nonpos", "Complex.ofReal_div", "Complex.ofReal_eq_coe", "Complex.ofReal_eq_one", "Complex.ofReal_eq_zero", "Complex.ofReal_exp", "Complex.ofReal_exp_ofReal_re", "Complex.ofReal_im", "Complex.ofReal_inj", "Complex.ofReal_injective", "Complex.ofReal_intCast", "Complex.ofReal_inv", "Complex.ofReal_log", "Complex.ofReal_mem_slitPlane", "Complex.ofReal_mul", "Complex.ofReal_natCast", "Complex.ofReal_ne_one", "Complex.ofReal_ne_zero", "Complex.ofReal_neg", "Complex.ofReal_nnratCast", "Complex.ofReal_nsmul", "Complex.ofReal_ofNat", "Complex.ofReal_one", "Complex.ofReal_pow", "Complex.ofReal_qsmul", "Complex.ofReal_re", "Complex.ofReal_sin", "Complex.ofReal_sinh", "Complex.ofReal_sub", "Complex.ofReal_sum", "Complex.ofReal_tan", "Complex.ofReal_tan_ofReal_re", "Complex.ofReal_tanh", "Complex.ofReal_tanh_ofReal_re", "Complex.ofReal_tsum", "Complex.ofReal_zero", "Complex.ofReal_zpow", "Complex.one_cpow", "Complex.one_div_Gamma_eq_self_mul_one_div_Gamma_add_one", "Complex.one_im", "Complex.one_mem_slitPlane", "Complex.one_re", "Complex.one_sub_prime_cpow_ne_zero", "Complex.orderClosedTopology", "Complex.orthonormalBasisOneI_repr_apply", "Complex.orthonormalBasisOneI_repr_symm_apply", "Complex.partialGamma_add_one", "Complex.polarCoord_source", "Complex.polarCoord_symm_apply", "Complex.polarCoord_target", "Complex.polardCoord_symm_abs", "Complex.pos_iff", "Complex.pow_cpow_nat_inv", "Complex.pow_cpow_ofNat_inv", "Complex.quotientMap_im", "Complex.range_abs", "Complex.range_arg", "Complex.range_exp_mul_I", "Complex.range_im", "Complex.range_normSq", "Complex.range_re", "Complex.rank_rat_complex", "Complex.rank_real_complex'", "Complex.ratCast_im", "Complex.ratCast_re", "Complex.reCLM_apply", "Complex.re_add_im", "Complex.re_eq_abs", "Complex.re_eq_add_conj", "Complex.re_eq_neg_abs", "Complex.re_le_abs", "Complex.re_mul_ofReal", "Complex.re_neg_ne_zero_of_one_lt_re", "Complex.re_ofNat", "Complex.re_ofReal_mul", "Complex.re_sq_le_normSq", "Complex.re_sum", "Complex.re_tsum", "Complex.real_algHom_eq_id_or_conj", "Complex.real_le_real", "Complex.real_lt_real", "Complex.real_smul", "Complex.restrictScalars_one_smulRight'", "Complex.rightAngleRotation", "Complex.ringHom_eq_id_or_conj_of_continuous", "Complex.ringHom_eq_ofReal_of_continuous", "Complex.rotation", "Complex.sameRay_iff", "Complex.sameRay_iff_arg_div_eq_zero", "Complex.sameRay_of_arg_eq", "Complex.schwarz_aux", "Complex.sin_add", "Complex.sin_add_mul_I", "Complex.sin_add_nat_mul_two_pi", "Complex.sin_add_pi_div_two", "Complex.sin_antiperiodic", "Complex.sin_arg", "Complex.sin_conj", "Complex.sin_eq", "Complex.sin_eq_neg_one_iff", "Complex.sin_eq_one_iff", "Complex.sin_eq_sin_iff", "Complex.sin_eq_tsum", "Complex.sin_eq_zero_iff", "Complex.sin_eq_zero_iff_cos_eq", "Complex.sin_int_mul_pi", "Complex.sin_mul_I", "Complex.sin_nat_mul_pi", "Complex.sin_ne_zero_iff", "Complex.sin_neg", "Complex.sin_ofReal_im", "Complex.sin_ofReal_re", "Complex.sin_pi", "Complex.sin_pi_div_two", "Complex.sin_pi_div_two_sub", "Complex.sin_pi_sub", "Complex.sin_sq", "Complex.sin_sq_add_cos_sq", "Complex.sin_sub", "Complex.sin_sub_int_mul_two_pi", "Complex.sin_sub_pi", "Complex.sin_sub_pi_div_two", "Complex.sin_sub_sin", "Complex.sin_sub_two_pi", "Complex.sin_surjective", "Complex.sin_three_mul", "Complex.sin_two_mul", "Complex.sin_two_pi", "Complex.sin_two_pi_sub", "Complex.sin_zero", "Complex.sinh_add", "Complex.sinh_add_aux", "Complex.sinh_add_cosh", "Complex.sinh_conj", "Complex.sinh_eq_tsum", "Complex.sinh_mul_I", "Complex.sinh_neg", "Complex.sinh_ofReal_im", "Complex.sinh_ofReal_re", "Complex.sinh_sq", "Complex.sinh_sub", "Complex.sinh_sub_cosh", "Complex.sinh_three_mul", "Complex.sinh_two_mul", "Complex.sinh_zero", "Complex.slitPlane_eq_union", "Complex.slitPlane_ne_zero", "Complex.smul_im", "Complex.smul_re", "Complex.sq_abs", "Complex.sq_abs_sub_sq_re", "Complex.starConvex_ofReal_slitPlane", "Complex.starConvex_one_slitPlane", "Complex.starConvex_slitPlane", "Complex.star_def", "Complex.stolzCone_subset_stolzSet_aux", "Complex.stolzCone_subset_stolzSet_aux'", "Complex.stolzSet_empty", "Complex.sub_conj", "Complex.sub_im", "Complex.sub_re", "Complex.subfield_eq_of_closed", "Complex.sum_div_factorial_le", "Complex.summable_conj", "Complex.summable_one_div_nat_cpow", "Complex.tan_add", "Complex.tan_add'", "Complex.tan_add_int_mul_pi", "Complex.tan_add_mul_I", "Complex.tan_add_nat_mul_pi", "Complex.tan_add_pi", "Complex.tan_arctan", "Complex.tan_arg", "Complex.tan_conj", "Complex.tan_eq", "Complex.tan_eq_sin_div_cos", "Complex.tan_eq_zero_iff", "Complex.tan_eq_zero_iff'", "Complex.tan_int_mul_pi_div_two", "Complex.tan_mul_I", "Complex.tan_mul_cos", "Complex.tan_ne_zero_iff", "Complex.tan_neg", "Complex.tan_ofReal_im", "Complex.tan_pi_div_two_sub", "Complex.tan_pi_sub", "Complex.tan_sq_div_one_add_tan_sq", "Complex.tan_sub_nat_mul_pi", "Complex.tan_sub_pi", "Complex.tan_two_mul", "Complex.tan_zero", "Complex.tanh_conj", "Complex.tanh_eq_sinh_div_cosh", "Complex.tanh_mul_I", "Complex.tanh_neg", "Complex.tanh_zero", "Complex.taylorSeries_eq_of_entire", "Complex.taylorSeries_eq_of_entire'", "Complex.taylorSeries_eq_on_ball", "Complex.taylorSeries_eq_on_ball'", "Complex.taylorSeries_eq_on_emetric_ball'", "Complex.tendstoUniformlyOn_deriv_of_cthickening_subset", "Complex.tendsto_abs_cocompact_atTop", "Complex.tendsto_abs_tan_atTop", "Complex.tendsto_abs_tan_of_cos_eq_zero", "Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zero", "Complex.tendsto_arg_nhdsWithin_im_nonneg_of_re_neg_of_im_zero", "Complex.tendsto_euler_sin_prod", "Complex.tendsto_exp_comap_re_atBot", "Complex.tendsto_exp_comap_re_atBot_nhdsWithin", "Complex.tendsto_exp_comap_re_atTop", "Complex.tendsto_exp_nhds_zero_iff", "Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_bounded_under", "Complex.tendsto_limUnder_of_differentiable_on_punctured_nhds_of_isLittleO", "Complex.tendsto_log_nhdsWithin_im_neg_of_re_neg_of_im_zero", "Complex.tendsto_log_nhdsWithin_im_nonneg_of_re_neg_of_im_zero", "Complex.tendsto_normSq_cocompact_atTop", "Complex.tendsto_partialGamma", "Complex.tendsto_self_mul_Gamma_nhds_zero", "Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzCone", "Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzSet", "Complex.toBasis_orthonormalBasisOneI", "Complex.toMatrix_conjAe", "Complex.tsum_exp_neg_mul_int_sq", "Complex.tsum_exp_neg_quadratic", "Complex.two_cosh", "Complex.two_pi_I_inv_smul_circleIntegral_sub_inv_smul_of_differentiable_on_off_countable", "Complex.two_pi_I_inv_smul_circleIntegral_sub_sq_inv_smul_of_differentiable", "Complex.two_pi_I_ne_zero", "Complex.two_sin", "Complex.two_sinh", "Complex.uniformContinuous_ringHom_eq_id_or_conj", "Complex.volume_ball", "Complex.volume_closedBall", "Complex.volume_preserving_equiv_pi", "Complex.volume_preserving_equiv_real_prod", "Complex.volume_sum_rpow_le", "Complex.volume_sum_rpow_lt", "Complex.volume_sum_rpow_lt_one", "Complex.zero_cpow", "Complex.zero_cpow_eq_iff", "Complex.zero_lt_real", "Complex.zero_re", "ComplexShape.Embedding.f_eq_of_r_eq_some", "ComplexShape.Embedding.r_eq_some", "ComplexShape.Embedding.r_f", "ComplexShape.Embedding.rel_iff", "ComplexShape.QFactorsThroughHomotopy_of_exists_prev", "ComplexShape.add_rel", "ComplexShape.down'_mk", "ComplexShape.next_add", "ComplexShape.next_eq'", "ComplexShape.next_\u03c0\u2081", "ComplexShape.prev_eq'", "ComplexShape.rel_\u03c0\u2081", "ComplexShape.rel_\u03c0\u2082", "ComplexShape.symm_symm", "ComplexShape.\u03b5_add", "ComplexShape.\u03b5_succ", "ComplexShape.\u03b5_up_\u2124", "ComplexShape.\u03b5_zero", "ComplexShape.\u03b5\u2081_\u03b5\u2082", "ComplexShape.\u03c0_symm", "ComplexShape.\u03c3_\u03b5\u2081", "ComplexShape.\u03c3_\u03b5\u2082", "Composition.blocksFun_congr", "Composition.blocksFun_mem_blocks", "Composition.blocksFun_sigmaCompositionAux", "Composition.blocks_length", "Composition.blocks_pos'", "Composition.boundary_last", "Composition.boundary_zero", "Composition.coe_embedding", "Composition.coe_invEmbedding", "Composition.disjoint_range", "Composition.eq_ones_iff", "Composition.eq_ones_iff_le_length", "Composition.eq_ones_iff_length", "Composition.eq_single_iff_length", "Composition.index_embedding", "Composition.index_exists", "Composition.invEmbedding_comp", "Composition.length_gather", "Composition.length_le", "Composition.length_pos_of_pos", "Composition.length_sigmaCompositionAux", "Composition.lt_sizeUpTo_index_succ", "Composition.mem_range_embedding", "Composition.mem_range_embedding_iff", "Composition.mem_range_embedding_iff'", "Composition.ne_ones_iff", "Composition.ne_single_iff", "Composition.ofFn_blocksFun", "Composition.one_le_blocks", "Composition.one_le_blocksFun", "Composition.ones_blocks", "Composition.ones_blocksFun", "Composition.ones_length", "Composition.ones_sizeUpTo", "Composition.orderEmbOfFin_boundaries", "Composition.sigma_composition_eq_iff", "Composition.sigma_eq_iff_blocks_eq", "Composition.sigma_pi_composition_eq_iff", "Composition.single_blocks", "Composition.single_blocksFun", "Composition.single_embedding", "Composition.single_length", "Composition.sizeUpTo_index_le", "Composition.sizeUpTo_le", "Composition.sizeUpTo_length", "Composition.sizeUpTo_ofLength_le", "Composition.sizeUpTo_sizeUpTo_add", "Composition.sizeUpTo_strict_mono", "Composition.sizeUpTo_succ", "Composition.sizeUpTo_zero", "Composition.toCompositionAsSet_blocks", "Composition.toCompositionAsSet_boundaries", "CompositionAsSet.blocksFun_pos", "CompositionAsSet.blocks_length", "CompositionAsSet.blocks_partial_sum", "CompositionAsSet.blocks_sum", "CompositionAsSet.boundaries_nonempty", "CompositionAsSet.boundary_length", "CompositionAsSet.boundary_zero", "CompositionAsSet.card_boundaries_eq_succ_length", "CompositionAsSet.length_lt_card_boundaries", "CompositionAsSet.lt_length", "CompositionAsSet.lt_length'", "CompositionAsSet.mem_boundaries_iff_exists_blocks_sum_take_eq", "CompositionAsSet.toComposition_boundaries", "CompositionAsSet.toComposition_length", "CompositionSeries.Equivalent.length_eq", "CompositionSeries.Equivalent.refl", "CompositionSeries.Equivalent.smash", "CompositionSeries.Equivalent.snoc", "CompositionSeries.Equivalent.snoc_snoc_swap", "CompositionSeries.Equivalent.symm", "CompositionSeries.Equivalent.trans", "CompositionSeries.eq_of_head_eq_head_of_last_eq_last_of_length_eq_zero", "CompositionSeries.eq_snoc_eraseLast", "CompositionSeries.exists_last_eq_snoc_equivalent", "CompositionSeries.ext", "CompositionSeries.head_le", "CompositionSeries.head_le_of_mem", "CompositionSeries.inj", "CompositionSeries.isMaximal_eraseLast_last", "CompositionSeries.jordan_holder", "CompositionSeries.last_eraseLast_le", "CompositionSeries.length_eq_zero_of_head_eq_head_of_last_eq_last_of_length_eq_zero", "CompositionSeries.length_pos_of_head_eq_head_of_last_eq_last_of_length_pos", "CompositionSeries.lt_last_of_mem_eraseLast", "CompositionSeries.lt_succ", "CompositionSeries.mem_eraseLast", "CompositionSeries.mem_eraseLast_of_ne_of_mem", "CompositionSeries.snoc_eraseLast_last", "CompositionSeries.strictMono", "CompositionSeries.toList_sorted", "CompositionSeries.total", "Computability.Encoding.encode_injective", "Computability.decode_encodeNat", "Computability.decode_encodeNum", "Computability.decode_encodePosNum", "Computability.encodePosNum_nonempty", "Computability.inclusionBool\u0393'_injective", "Computability.leftInverse_section_inclusion", "Computable.bind_decode_iff", "Computable.cond", "Computable.const", "Computable.decode", "Computable.encode", "Computable.equiv\u2082", "Computable.eqv", "Computable.fin_app", "Computable.fst", "Computable.id", "Computable.list_append", "Computable.list_concat", "Computable.list_get?", "Computable.list_length", "Computable.list_ofFn", "Computable.list_reverse", "Computable.map_decode_iff", "Computable.nat_bodd", "Computable.nat_div2", "Computable.nat_rec", "Computable.nat_strong_rec", "Computable.ofOption", "Computable.of_eq", "Computable.option_bind", "Computable.option_casesOn", "Computable.option_map", "Computable.option_some", "Computable.option_some_iff", "Computable.pair", "Computable.partrec", "Computable.pred", "Computable.snd", "Computable.subtype_mk", "Computable.succ", "Computable.vector_get", "Computable.vector_head", "Computable.vector_length", "Computable.vector_ofFn", "Computable.vector_ofFn'", "Computable.vector_toList", "ComputablePred.computable_iff", "ComputablePred.computable_iff_re_compl_re", "ComputablePred.computable_of_manyOneReducible", "ComputablePred.computable_of_oneOneReducible", "ComputablePred.halting_problem_re", "ComputablePred.not", "ComputablePred.rice", "ComputablePred.rice\u2082", "ComputablePred.to_re", "Computable\u2082.comp", "Computable\u2082.mk", "Computable\u2082.partrec\u2082", "Computation.Equiv.equivalence", "Computation.Equiv.refl", "Computation.Equiv.trans", "Computation.LiftRel.imp", "Computation.LiftRel.swap", "Computation.LiftRel.trans", "Computation.LiftRelAux.ret_left", "Computation.LiftRelAux.swap", "Computation.LiftRelRec.lem", "Computation.Mem.left_unique", "Computation.Results.len_unique", "Computation.Results.length", "Computation.Results.mem", "Computation.Results.terminates", "Computation.Results.val_unique", "Computation.bind_assoc", "Computation.bind_congr", "Computation.bind_promises", "Computation.bind_pure", "Computation.bind_pure'", "Computation.corec_eq", "Computation.destruct_eq_pure", "Computation.destruct_eq_think", "Computation.destruct_map", "Computation.destruct_pure", "Computation.destruct_think", "Computation.empty_orElse", "Computation.empty_promises", "Computation.eq_empty_of_not_terminates", "Computation.eq_of_bisim", "Computation.eq_of_pure_mem", "Computation.eq_thinkN", "Computation.eq_thinkN'", "Computation.equiv_of_mem", "Computation.equiv_pure_of_mem", "Computation.exists_of_liftRel_left", "Computation.exists_of_liftRel_right", "Computation.exists_of_mem_bind", "Computation.exists_of_mem_map", "Computation.exists_of_mem_parallel", "Computation.exists_results_of_mem", "Computation.get_bind", "Computation.get_eq_of_mem", "Computation.get_eq_of_promises", "Computation.get_equiv", "Computation.get_mem", "Computation.get_promises", "Computation.get_pure", "Computation.get_think", "Computation.get_thinkN", "Computation.head_empty", "Computation.head_pure", "Computation.head_think", "Computation.le_stable", "Computation.length_pure", "Computation.length_think", "Computation.length_thinkN", "Computation.liftRelAux_inl_inr", "Computation.liftRelAux_inr_inl", "Computation.liftRel_congr", "Computation.liftRel_def", "Computation.liftRel_map", "Computation.liftRel_mem_cases", "Computation.liftRel_of_mem", "Computation.liftRel_pure", "Computation.liftRel_pure_left", "Computation.liftRel_pure_right", "Computation.liftRel_rec", "Computation.liftRel_think_left", "Computation.liftRel_think_right", "Computation.lift_eq_iff_equiv", "Computation.map_comp", "Computation.map_congr", "Computation.map_id", "Computation.map_parallel", "Computation.map_pure", "Computation.map_pure'", "Computation.map_think", "Computation.map_think'", "Computation.mem_bind", "Computation.mem_map", "Computation.mem_of_get_eq", "Computation.mem_of_promises", "Computation.mem_parallel", "Computation.mem_promises", "Computation.mem_unique", "Computation.not_mem_empty", "Computation.not_terminates_empty", "Computation.of_results_bind", "Computation.of_results_think", "Computation.of_think_mem", "Computation.of_think_terminates", "Computation.orElse_empty", "Computation.orElse_pure", "Computation.orElse_think", "Computation.parallel_congr_left", "Computation.parallel_congr_lem", "Computation.parallel_congr_right", "Computation.parallel_empty", "Computation.rel_of_liftRel", "Computation.results_bind", "Computation.results_of_terminates", "Computation.results_of_terminates'", "Computation.results_pure", "Computation.results_think", "Computation.results_thinkN", "Computation.results_thinkN_pure", "Computation.results_think_iff", "Computation.ret_bind", "Computation.ret_mem", "Computation.ret_orElse", "Computation.tail_empty", "Computation.tail_think", "Computation.terminates_congr", "Computation.terminates_def", "Computation.terminates_parallel", "Computation.terminates_parallel.aux", "Computation.thinkN_equiv", "Computation.thinkN_mem", "Computation.think_bind", "Computation.think_empty", "Computation.think_mem", "Con.coe_iInf", "Con.coe_inf", "Con.coe_mk'", "Con.coe_mul", "Con.coe_one", "Con.coe_sInf", "Con.coe_smul", "Con.conGen_eq", "Con.conGen_idem", "Con.conGen_le", "Con.conGen_mono", "Con.conGen_of_con", "Con.div", "Con.eq", "Con.ext", "Con.ext'", "Con.ext_iff", "Con.finset_prod", "Con.hrec_on\u2082_coe", "Con.induction_on", "Con.induction_on_units", "Con.induction_on\u2082", "Con.inf_iff_and", "Con.inv", "Con.kerLift_mk", "Con.ker_apply", "Con.ker_rel", "Con.le_def", "Con.liftOnUnits_mk", "Con.liftOn_coe", "Con.lift_apply_mk'", "Con.lift_funext", "Con.lift_mk'", "Con.lift_range", "Con.list_prod", "Con.mapOfSurjective_eq_mapGen", "Con.map_of_mul_left_rel_one", "Con.mem_coe", "Con.mk'_ker", "Con.mk'_surjective", "Con.mul", "Con.mul_ker_mk_eq", "Con.pow", "Con.refl", "Con.rel_eq_coe", "Con.rel_mk", "Con.sInf_toSetoid", "Con.sSup_def", "Con.sSup_eq_conGen", "Con.smul", "Con.sup_def", "Con.sup_eq_conGen", "Con.symm", "Con.to_submonoid_inj", "Con.trans", "Con.zpow", "ConcaveOn.add", "ConcaveOn.add_const", "ConcaveOn.add_strictConcaveOn", "ConcaveOn.antitoneOn_deriv", "ConcaveOn.antitoneOn_derivWithin", "ConcaveOn.average_mem_hypograph", "ConcaveOn.comp", "ConcaveOn.comp_affineMap", "ConcaveOn.comp_convexOn", "ConcaveOn.congr", "ConcaveOn.convex_ge", "ConcaveOn.convex_hypograph", "ConcaveOn.convex_strict_hypograph", "ConcaveOn.derivWithin_le_slope", "ConcaveOn.deriv_le_slope", "ConcaveOn.dual", "ConcaveOn.exists_le_of_centerMass", "ConcaveOn.ge_on_segment", "ConcaveOn.inf", "ConcaveOn.le_map_centerMass", "ConcaveOn.le_map_integral", "ConcaveOn.le_map_sum", "ConcaveOn.le_slope_of_hasDerivAt", "ConcaveOn.le_slope_of_hasDerivWithinAt", "ConcaveOn.le_slope_of_hasDerivWithinAt_Iio", "ConcaveOn.left_deriv_le_slope", "ConcaveOn.left_le_of_le_right", "ConcaveOn.left_le_of_le_right'", "ConcaveOn.left_le_of_le_right''", "ConcaveOn.left_lt_of_lt_right'", "ConcaveOn.lt_right_of_left_lt'", "ConcaveOn.min_le_of_mem_Icc", "ConcaveOn.min_le_of_mem_segment", "ConcaveOn.mul'", "ConcaveOn.mul_convexOn", "ConcaveOn.mul_convexOn'", "ConcaveOn.openSegment_subset_strict_hypograph", "ConcaveOn.quasiconcaveOn", "ConcaveOn.right_le_of_le_left'", "ConcaveOn.right_le_of_le_left''", "ConcaveOn.set_average_mem_hypograph", "ConcaveOn.slope_anti", "ConcaveOn.slope_anti_adjacent", "ConcaveOn.slope_le_of_hasDerivWithinAt_Ioi", "ConcaveOn.smul", "ConcaveOn.smul'", "ConcaveOn.smul''", "ConcaveOn.smul_convexOn", "ConcaveOn.smul_convexOn'", "ConcaveOn.sub", "ConcaveOn.sub_strictConvexOn", "ConcaveOn.subset", "ConcaveOn.translate_left", "ConcaveOn.translate_right", "Concept.bot_fst", "Concept.bot_snd", "Concept.ext", "Concept.fst_injective", "Concept.fst_subset_fst_iff", "Concept.inf_snd", "Concept.sInf_fst", "Concept.sInf_snd", "Concept.sSup_fst", "Concept.sSup_snd", "Concept.snd_injective", "Concept.snd_ssubset_snd_iff", "Concept.snd_subset_snd_iff", "Concept.strictAnti_snd", "Concept.swap_le_swap_iff", "Concept.swap_lt_swap_iff", "Concept.swap_swap", "Concept.top_fst", "Condensed.equalizerCondition_profinite", "Configuration.HasLines.card_le", "Configuration.HasLines.existsUnique_line", "Configuration.HasLines.exists_bijective_of_card_eq", "Configuration.HasLines.lineCount_eq_pointCount", "Configuration.HasLines.pointCount_le_lineCount", "Configuration.HasPoints.card_le", "Configuration.HasPoints.existsUnique_point", "Configuration.HasPoints.lineCount_eq_pointCount", "Configuration.HasPoints.lineCount_le_pointCount", "Configuration.Nondegenerate.exists_injective_of_card_le", "Configuration.ProjectivePlane.Dual.order", "Configuration.ProjectivePlane.card_points", "Configuration.ProjectivePlane.card_points_eq_card_lines", "Configuration.ProjectivePlane.lineCount_eq", "Configuration.ProjectivePlane.lineCount_eq_lineCount", "Configuration.ProjectivePlane.lineCount_eq_pointCount", "Configuration.ProjectivePlane.one_lt_order", "Configuration.ProjectivePlane.pointCount_eq", "Configuration.ProjectivePlane.pointCount_eq_pointCount", "Configuration.ProjectivePlane.two_lt_lineCount", "Configuration.ProjectivePlane.two_lt_pointCount", "Configuration.sum_lineCount_eq_sum_pointCount", "Conformal.comp", "Conformal.differentiable", "ConformalAt.congr", "ConformalAt.const_smul", "ConjAct.Subgroup.val_conj_smul", "ConjAct.card", "ConjAct.fixedPoints_eq_center", "ConjAct.forall", "ConjAct.mem_orbit_conjAct", "ConjAct.ofConjAct_mul", "ConjAct.ofConjAct_zero", "ConjAct.orbitRel_conjAct", "ConjAct.orbit_eq_carrier_conjClasses", "ConjAct.smul_def", "ConjAct.smul_eq_mulAut_conj", "ConjAct.stabilizer_eq_centralizer", "ConjAct.toConjAct_inv", "ConjAct.toConjAct_ofConjAct", "ConjAct.toConjAct_one", "ConjAct.toConjAct_zero", "ConjAct.units_smul_def", "ConjClasses.card_carrier", "ConjClasses.carrier_eq_preimage_mk", "ConjClasses.map_surjective", "ConjClasses.mem_carrier_iff_mk_eq", "ConjClasses.mem_carrier_mk", "ConjClasses.mem_noncenter", "ConjClasses.mk_bijOn", "ConjClasses.mk_bijective", "ConjClasses.mk_eq_mk_iff_isConj", "ConjClasses.mk_injective", "ConjClasses.mk_surjective", "ConjClasses.one_eq_mk_one", "ConjClasses.quotient_mk_eq_mk", "ConnectedComponents.coe_eq_coe", "ConnectedComponents.coe_eq_coe'", "ConnectedComponents.continuous_coe", "ConnectedComponents.surjective_coe", "ConnectedSpace.infinite", "ContDiff.add", "ContDiff.ccos", "ContDiff.cexp", "ContDiff.comp", "ContDiff.comp_contDiffOn", "ContDiff.comp_contDiff_on\u2083", "ContDiff.comp_continuousLinearMap", "ContDiff.comp\u2082", "ContDiff.comp\u2083", "ContDiff.const_smul", "ContDiff.contDiffBump", "ContDiff.contDiffOn", "ContDiff.contDiff_fderiv_apply", "ContDiff.continuous", "ContDiff.continuousLinearMap_comp", "ContDiff.continuous_iteratedDeriv", "ContDiff.cos", "ContDiff.cosh", "ContDiff.csinh", "ContDiff.differentiable", "ContDiff.differentiable_iteratedDeriv", "ContDiff.differentiable_iteratedDeriv'", "ContDiff.dimH_range_le", "ContDiff.dist", "ContDiff.div_const", "ContDiff.euclidean_dist", "ContDiff.exp", "ContDiff.fderiv_apply", "ContDiff.fderiv_right", "ContDiff.fourierPowSMulRight", "ContDiff.fst'", "ContDiff.hasStrictDerivAt", "ContDiff.inner", "ContDiff.inv", "ContDiff.inversion", "ContDiff.iterate_deriv'", "ContDiff.iteratedFDeriv_right", "ContDiff.lipschitzWith_of_hasCompactSupport", "ContDiff.locallyLipschitz", "ContDiff.mul", "ContDiff.neg", "ContDiff.norm", "ContDiff.norm_rpow", "ContDiff.norm_sq", "ContDiff.of_le", "ContDiff.one_of_succ", "ContDiff.pow", "ContDiff.prod_map", "ContDiff.rpow", "ContDiff.rpow_const_of_le", "ContDiff.sin", "ContDiff.sinh", "ContDiff.smulRight", "ContDiff.snd", "ContDiff.snd'", "ContDiff.sqrt", "ContDiff.sub", "ContDiff.sum", "ContDiffAt.add", "ContDiffAt.arctan", "ContDiffAt.arsinh", "ContDiffAt.ccos", "ContDiffAt.cexp", "ContDiffAt.comp", "ContDiffAt.comp'", "ContDiffAt.comp_contDiffWithinAt", "ContDiffAt.comp_contMDiffWithinAt", "ContDiffAt.congr_of_eventuallyEq", "ContDiffAt.const_smul", "ContDiffAt.contDiffOn", "ContDiffAt.contDiffWithinAt", "ContDiffAt.csin", "ContDiffAt.csinh", "ContDiffAt.differentiableAt", "ContDiffAt.dist", "ContDiffAt.div", "ContDiffAt.div_const", "ContDiffAt.eventually", "ContDiffAt.exists_lipschitzOnWith_of_nnnorm_lt", "ContDiffAt.fderiv", "ContDiffAt.fst", "ContDiffAt.hasStrictDerivAt", "ContDiffAt.hasStrictFDerivAt", "ContDiffAt.hasStrictFDerivAt'", "ContDiffAt.image_mem_toPartialHomeomorph_target", "ContDiffAt.inv", "ContDiffAt.iteratedFDeriv_right", "ContDiffAt.localInverse_apply_image", "ContDiffAt.log", "ContDiffAt.mem_toPartialHomeomorph_source", "ContDiffAt.neg", "ContDiffAt.norm_sq", "ContDiffAt.of_le", "ContDiffAt.pow", "ContDiffAt.prod", "ContDiffAt.real_of_complex", "ContDiffAt.rpow_const_of_le", "ContDiffAt.rpow_const_of_ne", "ContDiffAt.sin", "ContDiffAt.sinh", "ContDiffAt.smul", "ContDiffAt.snd", "ContDiffAt.snd''", "ContDiffAt.sqrt", "ContDiffAt.sub", "ContDiffAt.sum", "ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrable", "ContDiffBump.contDiff", "ContDiffBump.contDiffAt", "ContDiffBump.contDiffWithinAt", "ContDiffBump.contDiff_normed", "ContDiffBump.continuous", "ContDiffBump.continuous_normed", "ContDiffBump.convolution_eq_right", "ContDiffBump.dist_normed_convolution_le", "ContDiffBump.eventuallyEq_one", "ContDiffBump.hasCompactSupport", "ContDiffBump.hasCompactSupport_normed", "ContDiffBump.integrable_normed", "ContDiffBump.integral_le_measure_closedBall", "ContDiffBump.integral_normed", "ContDiffBump.integral_normed_smul", "ContDiffBump.integral_pos", "ContDiffBump.le_one", "ContDiffBump.measure_closedBall_div_le_integral", "ContDiffBump.measure_closedBall_le_integral", "ContDiffBump.neg", "ContDiffBump.nonneg", "ContDiffBump.nonneg'", "ContDiffBump.nonneg_normed", "ContDiffBump.normed_convolution_eq_right", "ContDiffBump.normed_def", "ContDiffBump.normed_le_div_measure_closedBall_rIn", "ContDiffBump.normed_le_div_measure_closedBall_rOut", "ContDiffBump.normed_neg", "ContDiffBump.normed_sub", "ContDiffBump.one_lt_rOut_div_rIn", "ContDiffBump.one_of_mem_closedBall", "ContDiffBump.pos_of_mem_ball", "ContDiffBump.sub", "ContDiffBump.support_eq", "ContDiffBump.support_normed_eq", "ContDiffBump.tendsto_support_normed_smallSets", "ContDiffBump.tsupport_eq", "ContDiffBump.tsupport_normed_eq", "ContDiffBump.zero_of_le_dist", "ContDiffOn.arsinh", "ContDiffOn.ccos", "ContDiffOn.ccosh", "ContDiffOn.cexp", "ContDiffOn.clm_apply", "ContDiffOn.clm_comp", "ContDiffOn.comp", "ContDiffOn.comp'", "ContDiffOn.comp_continuousLinearMap", "ContDiffOn.comp_same_univ", "ContDiffOn.congr", "ContDiffOn.const_smul", "ContDiffOn.contDiffAt", "ContDiffOn.contDiffWithinAt", "ContDiffOn.continuousLinearMap_comp", "ContDiffOn.continuousOn", "ContDiffOn.continuousOn_derivWithin", "ContDiffOn.continuousOn_deriv_of_isOpen", "ContDiffOn.continuousOn_fderivWithin", "ContDiffOn.continuousOn_fderivWithin_apply", "ContDiffOn.continuousOn_iteratedFDerivWithin", "ContDiffOn.cos", "ContDiffOn.cosh", "ContDiffOn.csinh", "ContDiffOn.dense_compl_image_of_dimH_lt_finrank", "ContDiffOn.derivWithin", "ContDiffOn.differentiableOn", "ContDiffOn.differentiableOn_iteratedDerivWithin", "ContDiffOn.dist", "ContDiffOn.div'", "ContDiffOn.div_const", "ContDiffOn.exp", "ContDiffOn.fst", "ContDiffOn.ftaylorSeriesWithin", "ContDiffOn.inner", "ContDiffOn.log", "ContDiffOn.mono", "ContDiffOn.mul", "ContDiffOn.norm", "ContDiffOn.norm_sq", "ContDiffOn.of_le", "ContDiffOn.of_succ", "ContDiffOn.one_of_succ", "ContDiffOn.pow", "ContDiffOn.prod", "ContDiffOn.prod_map", "ContDiffOn.restrict_scalars", "ContDiffOn.rpow_const_of_ne", "ContDiffOn.sinh", "ContDiffOn.smul", "ContDiffOn.snd", "ContDiffOn.sub", "ContDiffOn.sum", "ContDiffWithinAt.arsinh", "ContDiffWithinAt.ccos", "ContDiffWithinAt.ccosh", "ContDiffWithinAt.comp", "ContDiffWithinAt.comp'", "ContDiffWithinAt.comp_contMDiffWithinAt", "ContDiffWithinAt.comp_continuousLinearMap", "ContDiffWithinAt.congr", "ContDiffWithinAt.congr_nhds", "ContDiffWithinAt.congr_of_eventually_eq'", "ContDiffWithinAt.const_smul", "ContDiffWithinAt.contDiffAt", "ContDiffWithinAt.contDiffBump", "ContDiffWithinAt.contDiffOn'", "ContDiffWithinAt.continuousLinearMap_comp", "ContDiffWithinAt.continuousWithinAt", "ContDiffWithinAt.csin", "ContDiffWithinAt.csinh", "ContDiffWithinAt.differentiableWithinAt_iteratedDerivWithin", "ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithin", "ContDiffWithinAt.differentiable_within_at'", "ContDiffWithinAt.dist", "ContDiffWithinAt.div", "ContDiffWithinAt.div_const", "ContDiffWithinAt.eventually", "ContDiffWithinAt.exists_lipschitzOnWith", "ContDiffWithinAt.exp", "ContDiffWithinAt.fderivWithin", "ContDiffWithinAt.fderivWithin'", "ContDiffWithinAt.fderivWithin''", "ContDiffWithinAt.fderivWithin_right", "ContDiffWithinAt.hasFDerivWithinAt_nhds", "ContDiffWithinAt.inner", "ContDiffWithinAt.inv", "ContDiffWithinAt.iteratedFderivWithin_right", "ContDiffWithinAt.mono", "ContDiffWithinAt.mono_of_mem", "ContDiffWithinAt.neg", "ContDiffWithinAt.norm_sq", "ContDiffWithinAt.of_le", "ContDiffWithinAt.prod", "ContDiffWithinAt.restrict_scalars", "ContDiffWithinAt.rpow_const_of_le", "ContDiffWithinAt.rpow_const_of_ne", "ContDiffWithinAt.sin", "ContDiffWithinAt.sinh", "ContDiffWithinAt.smul", "ContDiffWithinAt.sub", "ContDiffWithinAt.sum", "ContMDiff.clm_apply", "ContMDiff.clm_postcomp", "ContMDiff.clm_precomp", "ContMDiff.clm_prodMap", "ContMDiff.codRestrict_sphere", "ContMDiff.contMDiffAt", "ContMDiff.contMDiffOn", "ContMDiff.contMDiff_tangentMap", "ContMDiff.continuous", "ContMDiff.continuous_tangentMap", "ContMDiff.coordChangeL", "ContMDiff.div", "ContMDiff.div_const", "ContMDiff.extend_one", "ContMDiff.inv", "ContMDiff.inv\u2080", "ContMDiff.mdifferentiable", "ContMDiff.of_comp_openEmbedding", "ContMDiff.prod", "ContMDiff.prod_map", "ContMDiff.prod_mk", "ContMDiff.smooth", "ContMDiffAt.clm_apply", "ContMDiffAt.clm_precomp", "ContMDiffAt.clm_prodMap", "ContMDiffAt.comp", "ContMDiffAt.comp_contMDiffWithinAt", "ContMDiffAt.congr_of_eventuallyEq", "ContMDiffAt.coordChange", "ContMDiffAt.div", "ContMDiffAt.div_const", "ContMDiffAt.div\u2080", "ContMDiffAt.fst", "ContMDiffAt.mdifferentiableAt", "ContMDiffAt.mfderiv", "ContMDiffAt.mfderiv_const", "ContMDiffAt.mul", "ContMDiffAt.prod", "ContMDiffAt.prod_map'", "ContMDiffAt.prod_mk_space", "ContMDiffAt.smul", "ContMDiffAt.snd", "ContMDiffMap.coeFn_mk", "ContMDiffMap.coe_injective", "ContMDiffMap.comp_apply", "ContMDiffMap.contMDiff", "ContMDiffMap.ext", "ContMDiffMap.mdifferentiable'", "ContMDiffOn.clm_comp", "ContMDiffOn.clm_prodMap", "ContMDiffOn.comp", "ContMDiffOn.comp'", "ContMDiffOn.comp_contMDiff", "ContMDiffOn.congr", "ContMDiffOn.contMDiffAt", "ContMDiffOn.contMDiffOn_tangentMapWithin", "ContMDiffOn.contMDiffOn_tangentMapWithin_aux", "ContMDiffOn.continuousOn_tangentMapWithin", "ContMDiffOn.continuousOn_tangentMapWithin_aux", "ContMDiffOn.coordChange", "ContMDiffOn.coordChangeL", "ContMDiffOn.div", "ContMDiffOn.div_const", "ContMDiffOn.div\u2080", "ContMDiffOn.inv", "ContMDiffOn.inv\u2080", "ContMDiffOn.mono", "ContMDiffOn.mul", "ContMDiffOn.of_le", "ContMDiffOn.of_succ", "ContMDiffOn.prod_map", "ContMDiffOn.prod_mk", "ContMDiffOn.smoothOn", "ContMDiffOn.smul", "ContMDiffSection.coe_add", "ContMDiffSection.coe_inj", "ContMDiffSection.coe_injective", "ContMDiffSection.coe_neg", "ContMDiffSection.coe_nsmul", "ContMDiffSection.coe_sub", "ContMDiffSection.coe_zero", "ContMDiffSection.coe_zsmul", "ContMDiffSection.mdifferentiable'", "ContMDiffSection.mdifferentiableAt", "ContMDiffSection.smooth", "ContMDiffWithinAt.change_section_trivialization", "ContMDiffWithinAt.cle_arrowCongr", "ContMDiffWithinAt.clm_apply", "ContMDiffWithinAt.clm_comp", "ContMDiffWithinAt.clm_precomp", "ContMDiffWithinAt.clm_prodMap", "ContMDiffWithinAt.comp", "ContMDiffWithinAt.comp'", "ContMDiffWithinAt.congr", "ContMDiffWithinAt.congr_of_eventuallyEq", "ContMDiffWithinAt.contMDiffAt", "ContMDiffWithinAt.continuousWithinAt", "ContMDiffWithinAt.coordChange", "ContMDiffWithinAt.div", "ContMDiffWithinAt.div_const", "ContMDiffWithinAt.insert", "ContMDiffWithinAt.inv", "ContMDiffWithinAt.mdifferentiableWithinAt", "ContMDiffWithinAt.mono", "ContMDiffWithinAt.mul", "ContMDiffWithinAt.of_le", "ContMDiffWithinAt.of_succ", "ContMDiffWithinAt.prod", "ContMDiffWithinAt.prod_map", "ContMDiffWithinAt.prod_map'", "ContMDiffWithinAt.prod_mk", "ContMDiffWithinAt.prod_mk_space", "ContMDiffWithinAt.smoothWithinAt", "ContMDiffWithinAt.smul", "ContT.ext", "ContT.run_contT_map_contT", "ContT.run_withContT", "ContextFreeGrammar.Derives.append_left", "ContextFreeGrammar.Derives.append_right", "ContextFreeGrammar.Derives.eq_or_head", "ContextFreeGrammar.Derives.refl", "ContextFreeGrammar.Produces.append_left", "ContextFreeGrammar.Produces.trans_derives", "ContextFreeGrammar.mem_language_iff", "ContextFreeGrammar.mem_reverse_language_iff_reverse_mem_language", "ContextFreeGrammar.reverse_derives", "ContextFreeGrammar.reverse_involutive", "ContextFreeGrammar.reverse_mem_language_of_mem_reverse_language", "ContextFreeRule.Rewrites.append_left", "ContextFreeRule.reverse_involutive", "ContextFreeRule.rewrites_of_exists_parts", "ContinuedFraction.convergents_eq_convergents'", "Continuous.IccExtend", "Continuous.Icc_extend'", "Continuous.Prod.mk", "Continuous.Prod.mk_left", "Continuous.abs", "Continuous.ae_eq_iff_eq", "Continuous.aestronglyMeasurable", "Continuous.arsinh", "Continuous.bddAbove_range_of_hasCompactMulSupport", "Continuous.bounded_above_of_compact_support", "Continuous.clm_apply", "Continuous.clm_comp", "Continuous.clm_comp_const", "Continuous.clog", "Continuous.closedEmbedding", "Continuous.closure_preimage_subset", "Continuous.coinduced_le", "Continuous.comp", "Continuous.comp_aestronglyMeasurable\u2082", "Continuous.comp_continuousOn", "Continuous.comp_continuousOn'", "Continuous.comp_lowerSemicontinuous", "Continuous.comp_lowerSemicontinuousOn", "Continuous.comp_lowerSemicontinuousOn_antitone", "Continuous.comp_stronglyMeasurable", "Continuous.comp_upperSemicontinuousOn", "Continuous.comp_upperSemicontinuousOn_antitone", "Continuous.comp_upperSemicontinuous_antitone", "Continuous.comp\u2084", "Continuous.congr", "Continuous.connectedComponentsLift_apply_coe", "Continuous.connectedComponentsLift_comp_coe", "Continuous.connectedComponentsLift_unique", "Continuous.const_clm_comp", "Continuous.const_smul", "Continuous.continuousAt", "Continuous.continuousOn", "Continuous.continuous_symm_of_equiv_compact_to_t2", "Continuous.convolution_integrand_fst", "Continuous.cpow", "Continuous.curry_left", "Continuous.curry_right", "Continuous.discrete_of_tendsto_cofinite_cocompact", "Continuous.div", "Continuous.edist", "Continuous.ennreal_mul", "Continuous.exists_forall_ge", "Continuous.exists_forall_le", "Continuous.exists_forall_le'", "Continuous.exists_forall_le_of_hasCompactMulSupport", "Continuous.exists_lift_sigma", "Continuous.ext_on", "Continuous.fderiv", "Continuous.fin_insertNth", "Continuous.finset_inf", "Continuous.finset_inf'_apply", "Continuous.finset_sup", "Continuous.finset_sup'", "Continuous.finset_sup'_apply", "Continuous.finset_sup_apply", "Continuous.fourierPowSMulRight", "Continuous.fourier_inversion", "Continuous.fourier_inversion_inv", "Continuous.fst", "Continuous.fst'", "Continuous.homeoOfEquivCompactToT2.t1_counterexample", "Continuous.if", "Continuous.if_const", "Continuous.if_le", "Continuous.image_connectedComponentIn_subset", "Continuous.image_connectedComponent_eq_singleton", "Continuous.image_connectedComponent_subset", "Continuous.image_eq_of_connectedComponent_eq", "Continuous.inf", "Continuous.inf'", "Continuous.inner", "Continuous.integrableAt_nhds", "Continuous.integrableOn_Icc", "Continuous.integrableOn_Ioc", "Continuous.integrableOn_uIoc", "Continuous.integrable_of_hasCompactSupport", "Continuous.integral_hasStrictDerivAt", "Continuous.integral_pos_of_hasCompactSupport_nonneg_nonzero", "Continuous.intervalIntegrable", "Continuous.inv", "Continuous.inversion", "Continuous.isClosedMap", "Continuous.isOpenPosMeasure_map", "Continuous.isOpen_mulSupport", "Continuous.isProperMap", "Continuous.iterate", "Continuous.locallyIntegrable", "Continuous.lowerSemicontinuous", "Continuous.mapPullback", "Continuous.map_eq_borel", "Continuous.mapsTo_connectedComponent", "Continuous.mapsTo_connectedComponentIn", "Continuous.matrix_adjugate", "Continuous.matrix_blockDiag'", "Continuous.matrix_blockDiagonal", "Continuous.matrix_blockDiagonal'", "Continuous.matrix_col", "Continuous.matrix_conjTranspose", "Continuous.matrix_cramer", "Continuous.matrix_det", "Continuous.matrix_diag", "Continuous.matrix_diagonal", "Continuous.matrix_dotProduct", "Continuous.matrix_elem", "Continuous.matrix_fromBlocks", "Continuous.matrix_map", "Continuous.matrix_mulVec", "Continuous.matrix_row", "Continuous.matrix_trace", "Continuous.matrix_transpose", "Continuous.matrix_vecMul", "Continuous.matrix_vecMulVec", "Continuous.max", "Continuous.measurable", "Continuous.measurable2", "Continuous.measurableEmbedding", "Continuous.mem\u2112p_of_hasCompactSupport", "Continuous.mem\u2112p_top_of_hasCompactSupport", "Continuous.min", "Continuous.mul", "Continuous.mulIndicator", "Continuous.nhds", "Continuous.nndist", "Continuous.nnnorm'", "Continuous.norm'", "Continuous.partialSups_apply", "Continuous.path_eval", "Continuous.path_extend", "Continuous.path_trans", "Continuous.piecewise", "Continuous.pow", "Continuous.prod_map", "Continuous.prod_mapL", "Continuous.prod_map_equivL", "Continuous.prod_mk", "Continuous.quotient_lift", "Continuous.range_subset_closure_image_dense", "Continuous.restrict", "Continuous.restrictPreimage", "Continuous.rpow", "Continuous.rpow_const", "Continuous.smul", "Continuous.snd", "Continuous.snd'", "Continuous.specialization_monotone", "Continuous.star", "Continuous.strictAnti_of_inj_boundedOrder", "Continuous.strictMonoOn_of_inj_rigidity", "Continuous.strictMono_of_inj", "Continuous.strictMono_of_inj_boundedOrder", "Continuous.stronglyMeasurable", "Continuous.stronglyMeasurable_of_hasCompactMulSupport", "Continuous.stronglyMeasurable_of_mulSupport_subset_isCompact", "Continuous.subtype_map", "Continuous.subtype_mk", "Continuous.subtype_val", "Continuous.sum_map", "Continuous.sup", "Continuous.sup'", "Continuous.surjective", "Continuous.tendsto", "Continuous.tendsto'", "Continuous.tendstoUniformly", "Continuous.tendsto_nhdsSet_nhds", "Continuous.uncurry_left", "Continuous.uncurry_right", "Continuous.uniformContinuous_of_tendsto_cocompact", "Continuous.update", "Continuous.zpow", "ContinuousAffineEquiv.apply_symm_apply", "ContinuousAffineEquiv.coe_coe", "ContinuousAffineEquiv.coe_refl", "ContinuousAffineEquiv.coe_toEquiv", "ContinuousAffineEquiv.coe_trans", "ContinuousAffineEquiv.constVAdd_coe", "ContinuousAffineEquiv.continuous", "ContinuousAffineEquiv.ext", "ContinuousAffineEquiv.ext_iff", "ContinuousAffineEquiv.image_eq_preimage", "ContinuousAffineEquiv.image_preimage", "ContinuousAffineEquiv.image_symm", "ContinuousAffineEquiv.image_symm_eq_preimage", "ContinuousAffineEquiv.image_symm_image", "ContinuousAffineEquiv.injective", "ContinuousAffineEquiv.refl_apply", "ContinuousAffineEquiv.refl_symm", "ContinuousAffineEquiv.self_trans_symm", "ContinuousAffineEquiv.symm_apply_eq", "ContinuousAffineEquiv.symm_refl", "ContinuousAffineEquiv.symm_symm", "ContinuousAffineEquiv.symm_symm_apply", "ContinuousAffineEquiv.symm_toAffineEquiv", "ContinuousAffineEquiv.symm_toEquiv", "ContinuousAffineEquiv.symm_trans_self", "ContinuousAffineEquiv.toAffineEquiv_injective", "ContinuousAffineEquiv.toAffineEquiv_refl", "ContinuousAffineEquiv.toEquiv_refl", "ContinuousAffineEquiv.trans_apply", "ContinuousAffineEquiv.trans_assoc", "ContinuousAffineMap.add_contLinear", "ContinuousAffineMap.coe_add", "ContinuousAffineMap.coe_comp", "ContinuousAffineMap.coe_const", "ContinuousAffineMap.coe_contLinear", "ContinuousAffineMap.coe_continuousMap_mk", "ContinuousAffineMap.coe_injective", "ContinuousAffineMap.coe_linear_eq_coe_contLinear", "ContinuousAffineMap.coe_mk_const_linear_eq_linear", "ContinuousAffineMap.coe_sub", "ContinuousAffineMap.coe_to_affineMap", "ContinuousAffineMap.coe_to_continuousMap", "ContinuousAffineMap.coe_zero", "ContinuousAffineMap.comp_contLinear", "ContinuousAffineMap.congr_fun", "ContinuousAffineMap.const_contLinear", "ContinuousAffineMap.contLinear_eq_zero_iff_exists_const", "ContinuousAffineMap.contLinear_map_vsub", "ContinuousAffineMap.continuous", "ContinuousAffineMap.decomp", "ContinuousAffineMap.ext_iff", "ContinuousAffineMap.map_vadd", "ContinuousAffineMap.mk_coe", "ContinuousAffineMap.neg_apply", "ContinuousAffineMap.norm_comp_le", "ContinuousAffineMap.norm_contLinear_le", "ContinuousAffineMap.norm_def", "ContinuousAffineMap.norm_eq", "ContinuousAffineMap.norm_image_zero_le", "ContinuousAffineMap.smul_apply", "ContinuousAffineMap.smul_contLinear", "ContinuousAffineMap.sub_contLinear", "ContinuousAffineMap.toConstProdContinuousLinearMap_fst", "ContinuousAffineMap.toConstProdContinuousLinearMap_snd", "ContinuousAffineMap.toFun_eq_coe", "ContinuousAffineMap.to_affineMap_injective", "ContinuousAffineMap.to_affine_map_contLinear", "ContinuousAffineMap.to_continuousMap_injective", "ContinuousAffineMap.zero_apply", "ContinuousAffineMap.zero_contLinear", "ContinuousAlternatingMap.coe_add", "ContinuousAlternatingMap.coe_continuous", "ContinuousAlternatingMap.coe_mk", "ContinuousAlternatingMap.coe_neg", "ContinuousAlternatingMap.coe_pi", "ContinuousAlternatingMap.coe_smul", "ContinuousAlternatingMap.coe_toContinuousMultilinearMap", "ContinuousAlternatingMap.compContinuousLinearMap_apply", "ContinuousAlternatingMap.constOfIsEmpty_toAlternatingMap", "ContinuousAlternatingMap.ext_iff", "ContinuousAlternatingMap.map_add", "ContinuousAlternatingMap.map_coord_zero", "ContinuousAlternatingMap.map_eq_zero_of_eq", "ContinuousAlternatingMap.map_piecewise_add", "ContinuousAlternatingMap.map_piecewise_smul", "ContinuousAlternatingMap.map_smul_univ", "ContinuousAlternatingMap.map_sub", "ContinuousAlternatingMap.map_sum", "ContinuousAlternatingMap.map_sum_finset", "ContinuousAlternatingMap.map_update_zero", "ContinuousAlternatingMap.ofSubsingleton_toAlternatingMap", "ContinuousAlternatingMap.pi_apply", "ContinuousAlternatingMap.range_toAlternatingMap", "ContinuousAlternatingMap.range_toContinuousMultilinearMap", "ContinuousAlternatingMap.smul_apply", "ContinuousAlternatingMap.sub_apply", "ContinuousAlternatingMap.sum_apply", "ContinuousAlternatingMap.toAlternatingMap_injective", "ContinuousAlternatingMap.toAlternatingMap_smul", "ContinuousAlternatingMap.toContinuousMultilinearMap_add", "ContinuousAlternatingMap.toContinuousMultilinearMap_injective", "ContinuousAlternatingMap.toContinuousMultilinearMap_smul", "ContinuousAlternatingMap.toContinuousMultilinearMap_zero", "ContinuousAlternatingMap.vecCons_smul", "ContinuousAt.abs", "ContinuousAt.arsinh", "ContinuousAt.cexp", "ContinuousAt.clog", "ContinuousAt.comp", "ContinuousAt.comp'", "ContinuousAt.compCM", "ContinuousAt.comp_continuousWithinAt", "ContinuousAt.comp_div_cases", "ContinuousAt.comp_lowerSemicontinuousAt", "ContinuousAt.comp_lowerSemicontinuousAt_antitone", "ContinuousAt.comp_lowerSemicontinuousWithinAt", "ContinuousAt.comp_lowerSemicontinuousWithinAt_antitone", "ContinuousAt.comp_of_eq", "ContinuousAt.comp_upperSemicontinuousAt_antitone", "ContinuousAt.comp_upperSemicontinuousWithinAt", "ContinuousAt.comp_upperSemicontinuousWithinAt_antitone", "ContinuousAt.comp\u2082", "ContinuousAt.comp\u2082_continuousWithinAt_of_eq", "ContinuousAt.comp\u2082_of_eq", "ContinuousAt.congr", "ContinuousAt.const_cpow", "ContinuousAt.const_smul", "ContinuousAt.continuousOn", "ContinuousAt.continuousWithinAt", "ContinuousAt.cpow", "ContinuousAt.div", "ContinuousAt.div'", "ContinuousAt.eventually_mem", "ContinuousAt.finset_inf", "ContinuousAt.finset_inf'_apply", "ContinuousAt.finset_inf_apply", "ContinuousAt.finset_sup'", "ContinuousAt.finset_sup'_apply", "ContinuousAt.fst", "ContinuousAt.fst''", "ContinuousAt.inf", "ContinuousAt.inner", "ContinuousAt.integral_sub_linear_isLittleO_ae", "ContinuousAt.inversion", "ContinuousAt.inv\u2080", "ContinuousAt.iterate", "ContinuousAt.log", "ContinuousAt.lowerSemicontinuousAt", "ContinuousAt.mul", "ContinuousAt.nnnorm'", "ContinuousAt.norm'", "ContinuousAt.of_dslope", "ContinuousAt.partialSups", "ContinuousAt.path_extend", "ContinuousAt.pow", "ContinuousAt.preimage_mem_nhds", "ContinuousAt.prod", "ContinuousAt.prod_map", "ContinuousAt.prod_map'", "ContinuousAt.restrict", "ContinuousAt.rpow", "ContinuousAt.rpow_const", "ContinuousAt.smul", "ContinuousAt.snd", "ContinuousAt.snd''", "ContinuousAt.sqrt", "ContinuousAt.star", "ContinuousAt.stronglyMeasurableAtFilter", "ContinuousAt.sup", "ContinuousAt.tendsto", "ContinuousAt.upperSemicontinuousAt", "ContinuousAt.vsub", "ContinuousAt.zpow\u2080", "ContinuousConstSMul.secondCountableTopology", "ContinuousInv.of_nhds_one", "ContinuousLinearEquiv.antilipschitz", "ContinuousLinearEquiv.apply_symm_apply", "ContinuousLinearEquiv.arrowCongr_apply", "ContinuousLinearEquiv.bijective", "ContinuousLinearEquiv.coeFn_ofBijective", "ContinuousLinearEquiv.coe_coe", "ContinuousLinearEquiv.coe_comp_coe_symm", "ContinuousLinearEquiv.coe_funUnique", "ContinuousLinearEquiv.coe_funUnique_symm", "ContinuousLinearEquiv.coe_inj", "ContinuousLinearEquiv.coe_prod", "ContinuousLinearEquiv.coe_refl'", "ContinuousLinearEquiv.coe_symm_comp_coe", "ContinuousLinearEquiv.coe_toDiffeomorph", "ContinuousLinearEquiv.coe_toDiffeomorph_symm", "ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm", "ContinuousLinearEquiv.compContinuousAlternatingMap_coe", "ContinuousLinearEquiv.compContinuousMultilinearMapL_symm", "ContinuousLinearEquiv.comp_coe", "ContinuousLinearEquiv.comp_contDiffAt_iff", "ContinuousLinearEquiv.comp_contDiffOn_iff", "ContinuousLinearEquiv.comp_contDiff_iff", "ContinuousLinearEquiv.comp_continuousOn_iff", "ContinuousLinearEquiv.comp_continuous_iff", "ContinuousLinearEquiv.comp_differentiableAt_iff", "ContinuousLinearEquiv.comp_differentiableOn_iff", "ContinuousLinearEquiv.comp_differentiableWithinAt_iff", "ContinuousLinearEquiv.comp_differentiable_iff", "ContinuousLinearEquiv.comp_fderiv", "ContinuousLinearEquiv.comp_fderivWithin", "ContinuousLinearEquiv.comp_hasFDerivAt_iff", "ContinuousLinearEquiv.comp_hasFDerivAt_iff'", "ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff", "ContinuousLinearEquiv.comp_hasFDerivWithinAt_iff'", "ContinuousLinearEquiv.comp_hasStrictFDerivAt_iff", "ContinuousLinearEquiv.comp_right_differentiableAt_iff", "ContinuousLinearEquiv.comp_right_differentiableOn_iff", "ContinuousLinearEquiv.comp_right_differentiableWithinAt_iff", "ContinuousLinearEquiv.comp_right_differentiable_iff", "ContinuousLinearEquiv.comp_right_fderiv", "ContinuousLinearEquiv.comp_right_fderivWithin", "ContinuousLinearEquiv.comp_right_hasFDerivAt_iff", "ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff", "ContinuousLinearEquiv.comp_right_hasFDerivWithinAt_iff'", "ContinuousLinearEquiv.contDiff", "ContinuousLinearEquiv.contDiffAt_comp_iff", "ContinuousLinearEquiv.contDiffOn_comp_iff", "ContinuousLinearEquiv.contDiffWithinAt_comp_iff", "ContinuousLinearEquiv.contDiff_comp_iff", "ContinuousLinearEquiv.continuous", "ContinuousLinearEquiv.continuousAt", "ContinuousLinearEquiv.coord_norm", "ContinuousLinearEquiv.coord_self", "ContinuousLinearEquiv.differentiable", "ContinuousLinearEquiv.differentiableAt", "ContinuousLinearEquiv.dimH_image", "ContinuousLinearEquiv.dimH_preimage", "ContinuousLinearEquiv.dimH_univ", "ContinuousLinearEquiv.eq_symm_apply", "ContinuousLinearEquiv.equivOfInverse_apply", "ContinuousLinearEquiv.equivOfRightInverse_symm_apply", "ContinuousLinearEquiv.ext\u2081", "ContinuousLinearEquiv.fderiv", "ContinuousLinearEquiv.fderivWithin", "ContinuousLinearEquiv.hasFDerivAt", "ContinuousLinearEquiv.hasStrictFDerivAt", "ContinuousLinearEquiv.hasSum", "ContinuousLinearEquiv.hasSum'", "ContinuousLinearEquiv.homothety_inverse", "ContinuousLinearEquiv.image_eq_preimage", "ContinuousLinearEquiv.image_symm_eq_preimage", "ContinuousLinearEquiv.injective", "ContinuousLinearEquiv.integral_comp_comm", "ContinuousLinearEquiv.isBigO_comp_rev", "ContinuousLinearEquiv.isBigO_sub", "ContinuousLinearEquiv.isBigO_sub_rev", "ContinuousLinearEquiv.isClosed_image", "ContinuousLinearEquiv.isOpen", "ContinuousLinearEquiv.iteratedFDerivWithin_comp_left", "ContinuousLinearEquiv.iteratedFDerivWithin_comp_right", "ContinuousLinearEquiv.lipschitz", "ContinuousLinearEquiv.map_add", "ContinuousLinearEquiv.map_eq_zero_iff", "ContinuousLinearEquiv.map_neg", "ContinuousLinearEquiv.map_nhds_eq", "ContinuousLinearEquiv.map_smul", "ContinuousLinearEquiv.map_smul\u209b\u2097", "ContinuousLinearEquiv.map_sub", "ContinuousLinearEquiv.map_tsum", "ContinuousLinearEquiv.mfderivWithin_eq", "ContinuousLinearEquiv.nhds", "ContinuousLinearEquiv.nnnorm_symm_pos", "ContinuousLinearEquiv.norm_pos", "ContinuousLinearEquiv.norm_symm_pos", "ContinuousLinearEquiv.ofBijective_apply_symm_apply", "ContinuousLinearEquiv.ofBijective_symm_apply_apply", "ContinuousLinearEquiv.one_le_norm_mul_norm_symm", "ContinuousLinearEquiv.preimage_closure", "ContinuousLinearEquiv.preimage_symm_preimage", "ContinuousLinearEquiv.prod_symm", "ContinuousLinearEquiv.self_comp_symm", "ContinuousLinearEquiv.skewProd_apply", "ContinuousLinearEquiv.skewProd_symm_apply", "ContinuousLinearEquiv.snd_equivOfRightInverse", "ContinuousLinearEquiv.subsingleton_or_norm_symm_pos", "ContinuousLinearEquiv.surjective", "ContinuousLinearEquiv.symm_apply_apply", "ContinuousLinearEquiv.symm_comp_self", "ContinuousLinearEquiv.symm_equivOfInverse", "ContinuousLinearEquiv.symm_map_nhds_eq", "ContinuousLinearEquiv.symm_preimage_preimage", "ContinuousLinearEquiv.symm_toDiffeomorph", "ContinuousLinearEquiv.symm_toHomeomorph", "ContinuousLinearEquiv.toLinearEquiv_injective", "ContinuousLinearEquiv.trans_apply", "ContinuousLinearEquiv.trans_toLinearEquiv", "ContinuousLinearEquiv.tsum_eq_iff", "ContinuousLinearEquiv.uniformEmbedding", "ContinuousLinearEquiv.uniqueDiffOn_image_iff", "ContinuousLinearEquiv.uniqueDiffOn_preimage_iff", "ContinuousLinearEquiv.unitsEquivAut_apply", "ContinuousLinearEquiv.unitsEquivAut_apply_symm", "ContinuousLinearEquiv.unitsEquiv_apply", "ContinuousLinearMap.IsPositive.add", "ContinuousLinearMap.IsPositive.adjoint_conj", "ContinuousLinearMap.IsPositive.conj_adjoint", "ContinuousLinearMap.IsPositive.conj_orthogonalProjection", "ContinuousLinearMap.IsPositive.inner_nonneg_left", "ContinuousLinearMap.IsPositive.isSelfAdjoint", "ContinuousLinearMap.IsPositive.orthogonalProjection_comp", "ContinuousLinearMap.NonlinearRightInverse.bound", "ContinuousLinearMap.NonlinearRightInverse.right_inv", "ContinuousLinearMap.add_apply", "ContinuousLinearMap.add_comp", "ContinuousLinearMap.add_compLp", "ContinuousLinearMap.adjointAux_adjointAux", "ContinuousLinearMap.adjointAux_apply", "ContinuousLinearMap.adjointAux_inner_left", "ContinuousLinearMap.adjointAux_inner_right", "ContinuousLinearMap.adjointAux_norm", "ContinuousLinearMap.adjoint_adjoint", "ContinuousLinearMap.adjoint_comp", "ContinuousLinearMap.adjoint_id", "ContinuousLinearMap.adjoint_inner_left", "ContinuousLinearMap.adjoint_inner_right", "ContinuousLinearMap.aestronglyMeasurable_comp\u2082", "ContinuousLinearMap.analyticAt", "ContinuousLinearMap.analyticAt_bilinear", "ContinuousLinearMap.antilipschitz_of_embedding", "ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_left", "ContinuousLinearMap.apply_norm_eq_sqrt_inner_adjoint_right", "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left", "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right", "ContinuousLinearMap.bijective_iff_dense_range_and_antilipschitz", "ContinuousLinearMap.bound", "ContinuousLinearMap.bound_of_antilipschitz", "ContinuousLinearMap.bounds_bddBelow", "ContinuousLinearMap.bounds_nonempty", "ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot", "ContinuousLinearMap.coeFn_compLp", "ContinuousLinearMap.coeFn_injective", "ContinuousLinearMap.coeFn_ofIsClosedGraph", "ContinuousLinearMap.coeFn_ofSeqClosedGraph", "ContinuousLinearMap.coe_add", "ContinuousLinearMap.coe_add'", "ContinuousLinearMap.coe_coe", "ContinuousLinearMap.coe_comp", "ContinuousLinearMap.coe_comp'", "ContinuousLinearMap.coe_coprod", "ContinuousLinearMap.coe_deriv\u2082", "ContinuousLinearMap.coe_eq_id", "ContinuousLinearMap.coe_flip\u2097\u1d62", "ContinuousLinearMap.coe_fst", "ContinuousLinearMap.coe_fst'", "ContinuousLinearMap.coe_id", "ContinuousLinearMap.coe_id'", "ContinuousLinearMap.coe_inj", "ContinuousLinearMap.coe_injective", "ContinuousLinearMap.coe_inl", "ContinuousLinearMap.coe_inr", "ContinuousLinearMap.coe_linearMap_equivRange", "ContinuousLinearMap.coe_mk", "ContinuousLinearMap.coe_mk'", "ContinuousLinearMap.coe_mkOfIsCompactOperator", "ContinuousLinearMap.coe_mul\u2097\u1d62", "ContinuousLinearMap.coe_neg", "ContinuousLinearMap.coe_pi", "ContinuousLinearMap.coe_pi'", "ContinuousLinearMap.coe_pow", "ContinuousLinearMap.coe_prod", "ContinuousLinearMap.coe_prodMap", "ContinuousLinearMap.coe_prodMap'", "ContinuousLinearMap.coe_projKerOfRightInverse_apply", "ContinuousLinearMap.coe_rangeRestrict", "ContinuousLinearMap.coe_restrictScalars'", "ContinuousLinearMap.coe_restrictScalarsIsometry", "ContinuousLinearMap.coe_restrictScalarsL", "ContinuousLinearMap.coe_restrictScalars\u2097", "ContinuousLinearMap.coe_smul", "ContinuousLinearMap.coe_smul'", "ContinuousLinearMap.coe_smulRight\u2097", "ContinuousLinearMap.coe_snd'", "ContinuousLinearMap.coe_sub", "ContinuousLinearMap.coe_sub'", "ContinuousLinearMap.coe_sum", "ContinuousLinearMap.coe_sum'", "ContinuousLinearMap.coe_toContinuousLinearEquivOfDetNeZero", "ContinuousLinearMap.compContinuousAlternatingMap_coe", "ContinuousLinearMap.compContinuousMultilinearMap_coe", "ContinuousLinearMap.compFormalMultilinearSeries_apply", "ContinuousLinearMap.compFormalMultilinearSeries_apply'", "ContinuousLinearMap.compL_apply", "ContinuousLinearMap.compLeftContinuousCompact_apply", "ContinuousLinearMap.compSL_apply", "ContinuousLinearMap.comp_analyticOn", "ContinuousLinearMap.comp_apply", "ContinuousLinearMap.comp_assoc", "ContinuousLinearMap.comp_cPolynomialOn", "ContinuousLinearMap.comp_hasFPowerSeriesOnBall", "ContinuousLinearMap.comp_hasFiniteFPowerSeriesOnBall", "ContinuousLinearMap.comp_mem\u2112p'", "ContinuousLinearMap.comp_smul\u209b\u2097", "ContinuousLinearMap.comp_sub", "ContinuousLinearMap.comp_zero", "ContinuousLinearMap.contDiff", "ContinuousLinearMap.contMDiff", "ContinuousLinearMap.contMDiffAt", "ContinuousLinearMap.continuous", "ContinuousLinearMap.continuous_det", "ContinuousLinearMap.continuous_integral_comp_L1", "ContinuousLinearMap.continuous\u2082", "ContinuousLinearMap.coprod_inl_inr", "ContinuousLinearMap.copy_eq", "ContinuousLinearMap.curry_uncurryLeft", "ContinuousLinearMap.default_def", "ContinuousLinearMap.deriv", "ContinuousLinearMap.derivWithin", "ContinuousLinearMap.differentiable", "ContinuousLinearMap.differentiableAt", "ContinuousLinearMap.differentiableWithinAt", "ContinuousLinearMap.dist_le_opNorm", "ContinuousLinearMap.dslope_comp", "ContinuousLinearMap.eq_adjoint_iff", "ContinuousLinearMap.equivProdOfSurjectiveOfIsCompl_apply", "ContinuousLinearMap.exist_extension_of_finiteDimensional_range", "ContinuousLinearMap.exists_approx_preimage_norm_le", "ContinuousLinearMap.exists_lt_apply_of_lt_opNNNorm", "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm", "ContinuousLinearMap.exists_mul_lt_apply_of_lt_opNNNorm", "ContinuousLinearMap.exists_ne_zero", "ContinuousLinearMap.exists_nonlinearRightInverse_of_surjective", "ContinuousLinearMap.exists_preimage_norm_le", "ContinuousLinearMap.ext", "ContinuousLinearMap.ext_iff", "ContinuousLinearMap.ext_on", "ContinuousLinearMap.ext_ring", "ContinuousLinearMap.ext_ring_iff", "ContinuousLinearMap.extendTo\ud835\udd5c_apply", "ContinuousLinearMap.extend_eq", "ContinuousLinearMap.extend_unique", "ContinuousLinearMap.extend_zero", "ContinuousLinearMap.fderiv", "ContinuousLinearMap.fderivWithin", "ContinuousLinearMap.fderiv_of_bilinear", "ContinuousLinearMap.flip_add", "ContinuousLinearMap.flip_apply", "ContinuousLinearMap.flip_flip", "ContinuousLinearMap.flip_smul", "ContinuousLinearMap.flip\u2097\u1d62_symm", "ContinuousLinearMap.fpowerSeriesBilinear_apply_add_three", "ContinuousLinearMap.fpowerSeriesBilinear_apply_zero", "ContinuousLinearMap.fpowerSeriesBilinear_radius", "ContinuousLinearMap.fpowerSeries_apply_add_two", "ContinuousLinearMap.fpowerSeries_apply_zero", "ContinuousLinearMap.fpowerSeries_radius", "ContinuousLinearMap.fst_comp_prod", "ContinuousLinearMap.fst_prod_snd", "ContinuousLinearMap.hasBasis_nhds_zero", "ContinuousLinearMap.hasBasis_nhds_zero_of_basis", "ContinuousLinearMap.hasDerivAt", "ContinuousLinearMap.hasDerivAtFilter", "ContinuousLinearMap.hasDerivAt_of_bilinear", "ContinuousLinearMap.hasDerivWithinAt", "ContinuousLinearMap.hasDerivWithinAt_of_bilinear", "ContinuousLinearMap.hasFDerivAt", "ContinuousLinearMap.hasFDerivAtFilter", "ContinuousLinearMap.hasFDerivWithinAt", "ContinuousLinearMap.hasFDerivWithinAt_of_bilinear", "ContinuousLinearMap.hasFPowerSeriesOnBall", "ContinuousLinearMap.hasFPowerSeriesOnBall_bilinear", "ContinuousLinearMap.hasStrictDerivAt", "ContinuousLinearMap.hasStrictFDerivAt", "ContinuousLinearMap.hasSum", "ContinuousLinearMap.hasTemperateGrowth", "ContinuousLinearMap.homothety_norm", "ContinuousLinearMap.iInf_ker_proj", "ContinuousLinearMap.iInf_rayleigh_eq_iInf_rayleigh_sphere", "ContinuousLinearMap.iSup_rayleigh_eq_iSup_rayleigh_sphere", "ContinuousLinearMap.id_comp", "ContinuousLinearMap.image_rayleigh_eq_image_rayleigh_sphere", "ContinuousLinearMap.inCoordinates_eq", "ContinuousLinearMap.inner_map_map_iff_adjoint_comp_self", "ContinuousLinearMap.inner_map_map_of_mem_unitary", "ContinuousLinearMap.integrable_comp", "ContinuousLinearMap.integral_apply", "ContinuousLinearMap.integral_compLp", "ContinuousLinearMap.integral_comp_L1_comm", "ContinuousLinearMap.integral_comp_comm", "ContinuousLinearMap.integral_comp_comm'", "ContinuousLinearMap.interior_preimage", "ContinuousLinearMap.intervalIntegral_apply", "ContinuousLinearMap.intervalIntegral_comp_comm", "ContinuousLinearMap.inverse_equiv", "ContinuousLinearMap.inverse_non_equiv", "ContinuousLinearMap.isAdjointPair_inner", "ContinuousLinearMap.isBigO_comp", "ContinuousLinearMap.isBigO_id", "ContinuousLinearMap.isBigO_sub", "ContinuousLinearMap.isBoundedBilinearMap", "ContinuousLinearMap.isBoundedLinearMap", "ContinuousLinearMap.isBoundedLinearMap_comp_right", "ContinuousLinearMap.isClosed_image_coe_closedBall", "ContinuousLinearMap.isClosed_image_coe_of_bounded_of_weak_closed", "ContinuousLinearMap.isClosed_ker", "ContinuousLinearMap.isCompact_closure_image_coe_of_bounded", "ContinuousLinearMap.isCompact_image_coe_closedBall", "ContinuousLinearMap.isCompact_image_coe_of_bounded_of_weak_closed", "ContinuousLinearMap.isComplete_ker", "ContinuousLinearMap.isLeast_opNNNorm", "ContinuousLinearMap.isLeast_opNorm", "ContinuousLinearMap.isOpenMap", "ContinuousLinearMap.isOpen_injective", "ContinuousLinearMap.isPositive_iff_complex", "ContinuousLinearMap.isPositive_one", "ContinuousLinearMap.isPositive_zero", "ContinuousLinearMap.isSelfAdjoint_iff_isSymmetric", "ContinuousLinearMap.isUnit_iff_bijective", "ContinuousLinearMap.is_weak_closed_closedBall", "ContinuousLinearMap.isometry_mul", "ContinuousLinearMap.isometry_mul_flip", "ContinuousLinearMap.iteratedFDeriv_comp_left", "ContinuousLinearMap.iteratedFDeriv_comp_right", "ContinuousLinearMap.ker_closedComplemented_of_finiteDimensional_range", "ContinuousLinearMap.ker_prod", "ContinuousLinearMap.le_def", "ContinuousLinearMap.le_norm_flip", "ContinuousLinearMap.le_of_opNorm_le", "ContinuousLinearMap.le_of_opNorm_le_of_le", "ContinuousLinearMap.le_of_opNorm\u2082_le_of_le", "ContinuousLinearMap.le_opNNNorm", "ContinuousLinearMap.le_opNorm", "ContinuousLinearMap.le_opNorm_of_le", "ContinuousLinearMap.lipschitz", "ContinuousLinearMap.lipschitz_apply", "ContinuousLinearMap.lsmul_apply", "ContinuousLinearMap.map_add", "ContinuousLinearMap.map_add_add", "ContinuousLinearMap.map_neg", "ContinuousLinearMap.map_neg\u2082", "ContinuousLinearMap.map_smul", "ContinuousLinearMap.map_smul_of_tower", "ContinuousLinearMap.map_smul\u2082", "ContinuousLinearMap.map_smul\u209b\u2097", "ContinuousLinearMap.map_smul\u209b\u2097\u2082", "ContinuousLinearMap.map_sub", "ContinuousLinearMap.map_tsum", "ContinuousLinearMap.map_zero", "ContinuousLinearMap.map_zero\u2082", "ContinuousLinearMap.mdifferentiable", "ContinuousLinearMap.mdifferentiableAt", "ContinuousLinearMap.mdifferentiableOn", "ContinuousLinearMap.mdifferentiableWithinAt", "ContinuousLinearMap.measurable", "ContinuousLinearMap.measurable_apply", "ContinuousLinearMap.measurable_apply'", "ContinuousLinearMap.measurable_coe", "ContinuousLinearMap.measurable_comp", "ContinuousLinearMap.mfderivWithin_eq", "ContinuousLinearMap.mfderiv_eq", "ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator", "ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap", "ContinuousLinearMap.mul_apply", "ContinuousLinearMap.mul_apply'", "ContinuousLinearMap.mul_def", "ContinuousLinearMap.natCast_apply", "ContinuousLinearMap.neg_apply", "ContinuousLinearMap.nndist_le_opNNNorm", "ContinuousLinearMap.nnnorm_def", "ContinuousLinearMap.nonlinearRightInverseOfSurjective_nnnorm_pos", "ContinuousLinearMap.nonneg_iff_isPositive", "ContinuousLinearMap.norm_adjoint_comp_self", "ContinuousLinearMap.norm_compLp_le", "ContinuousLinearMap.norm_def", "ContinuousLinearMap.norm_extendTo\ud835\udd5c", "ContinuousLinearMap.norm_extendTo\ud835\udd5c'", "ContinuousLinearMap.norm_extendTo\ud835\udd5c'_bound", "ContinuousLinearMap.norm_fst", "ContinuousLinearMap.norm_fst_le", "ContinuousLinearMap.norm_id", "ContinuousLinearMap.norm_id_le", "ContinuousLinearMap.norm_id_of_nontrivial_seminorm", "ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear", "ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_aux", "ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear_of_le_one", "ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear", "ContinuousLinearMap.norm_iteratedFDeriv_le_of_bilinear_of_le_one", "ContinuousLinearMap.norm_map_iff_adjoint_comp_self", "ContinuousLinearMap.norm_map_of_mem_unitary", "ContinuousLinearMap.norm_map_tail_le", "ContinuousLinearMap.norm_pi_le_of_le", "ContinuousLinearMap.norm_precompL_le", "ContinuousLinearMap.norm_precompR_le", "ContinuousLinearMap.norm_restrictScalars", "ContinuousLinearMap.norm_smulRightL", "ContinuousLinearMap.norm_smulRightL_apply", "ContinuousLinearMap.norm_smulRightL_le", "ContinuousLinearMap.norm_smulRight_apply", "ContinuousLinearMap.norm_snd", "ContinuousLinearMap.norm_snd_le", "ContinuousLinearMap.norm_toSpanSingleton", "ContinuousLinearMap.one_apply", "ContinuousLinearMap.opNNNorm_comp_le", "ContinuousLinearMap.opNNNorm_le_of_lipschitz", "ContinuousLinearMap.opNNNorm_le_of_unit_nnnorm", "ContinuousLinearMap.opNNNorm_mul_apply", "ContinuousLinearMap.opNNNorm_mul_flip_apply", "ContinuousLinearMap.opNNNorm_prod", "ContinuousLinearMap.opNorm_add_le", "ContinuousLinearMap.opNorm_bound_of_ball_bound", "ContinuousLinearMap.opNorm_comp_le", "ContinuousLinearMap.opNorm_comp_linearIsometryEquiv", "ContinuousLinearMap.opNorm_ext", "ContinuousLinearMap.opNorm_extend_le", "ContinuousLinearMap.opNorm_le_bound", "ContinuousLinearMap.opNorm_le_bound'", "ContinuousLinearMap.opNorm_le_bound\u2082", "ContinuousLinearMap.opNorm_le_iff", "ContinuousLinearMap.opNorm_le_of_ball", "ContinuousLinearMap.opNorm_le_of_lipschitz", "ContinuousLinearMap.opNorm_le_of_nhds_zero", "ContinuousLinearMap.opNorm_le_of_shell", "ContinuousLinearMap.opNorm_le_of_shell'", "ContinuousLinearMap.opNorm_le_of_unit_norm", "ContinuousLinearMap.opNorm_lsmul", "ContinuousLinearMap.opNorm_lsmul_apply_le", "ContinuousLinearMap.opNorm_lsmul_le", "ContinuousLinearMap.opNorm_mulLeftRight_apply_apply_le", "ContinuousLinearMap.opNorm_mulLeftRight_apply_le", "ContinuousLinearMap.opNorm_mulLeftRight_le", "ContinuousLinearMap.opNorm_mul_apply", "ContinuousLinearMap.opNorm_mul_apply_le", "ContinuousLinearMap.opNorm_mul_flip_apply", "ContinuousLinearMap.opNorm_mul_le", "ContinuousLinearMap.opNorm_neg", "ContinuousLinearMap.opNorm_nonneg", "ContinuousLinearMap.opNorm_prod", "ContinuousLinearMap.opNorm_smul_le", "ContinuousLinearMap.opNorm_subsingleton", "ContinuousLinearMap.opNorm_zero_iff", "ContinuousLinearMap.pi_comp", "ContinuousLinearMap.pi_eq_zero", "ContinuousLinearMap.pi_zero", "ContinuousLinearMap.prodMapL_apply", "ContinuousLinearMap.prod_apply", "ContinuousLinearMap.prod_ext_iff", "ContinuousLinearMap.projKerOfRightInverse_apply_idem", "ContinuousLinearMap.projKerOfRightInverse_comp_inv", "ContinuousLinearMap.quotientMap", "ContinuousLinearMap.range_coprod", "ContinuousLinearMap.range_eq_map_coprodSubtypeLEquivOfIsCompl", "ContinuousLinearMap.range_prod_eq", "ContinuousLinearMap.ratio_le_opNorm", "ContinuousLinearMap.rayleigh_smul", "ContinuousLinearMap.reApplyInnerSelf_apply", "ContinuousLinearMap.reApplyInnerSelf_smul", "ContinuousLinearMap.restrictScalarsIsometry_toLinearMap", "ContinuousLinearMap.restrictScalars_add", "ContinuousLinearMap.restrictScalars_zero", "ContinuousLinearMap.ring_inverse_eq_map_inverse", "ContinuousLinearMap.ring_inverse_equiv", "ContinuousLinearMap.sSup_closed_unit_ball_eq_nnnorm", "ContinuousLinearMap.sSup_closed_unit_ball_eq_norm", "ContinuousLinearMap.sSup_unit_ball_eq_nnnorm", "ContinuousLinearMap.sSup_unit_ball_eq_norm", "ContinuousLinearMap.setIntegral_compLp", "ContinuousLinearMap.smooth", "ContinuousLinearMap.smulRight_apply", "ContinuousLinearMap.smulRight_comp", "ContinuousLinearMap.smulRight_one_eq_iff", "ContinuousLinearMap.smulRight_one_one", "ContinuousLinearMap.smulRight_one_pow", "ContinuousLinearMap.smul_apply", "ContinuousLinearMap.smul_comp", "ContinuousLinearMap.smul_compLp", "ContinuousLinearMap.smul_compLpL", "ContinuousLinearMap.smul_def", "ContinuousLinearMap.snd_comp_prod", "ContinuousLinearMap.star_eq_adjoint", "ContinuousLinearMap.sub_apply", "ContinuousLinearMap.sub_apply'", "ContinuousLinearMap.sub_comp", "ContinuousLinearMap.sum_apply", "ContinuousLinearMap.summable", "ContinuousLinearMap.tendsto_birkhoffAverage_orthogonalProjection", "ContinuousLinearMap.tendsto_of_tendsto_pointwise_of_cauchySeq", "ContinuousLinearMap.toContinuousAffineMap_map_zero", "ContinuousLinearMap.toContinuousLinearEquivOfDetNeZero_apply", "ContinuousLinearMap.toExposed.isExposed", "ContinuousLinearMap.toLinearMap\u2082_apply", "ContinuousLinearMap.toPMap_adjoint_eq_adjoint_toPMap_of_dense", "ContinuousLinearMap.toSesqForm_apply_norm_le", "ContinuousLinearMap.toSpanSingleton_smul", "ContinuousLinearMap.toSpanSingleton_smul'", "ContinuousLinearMap.to_ring_inverse", "ContinuousLinearMap.uncurryLeft_apply", "ContinuousLinearMap.uniformContinuous", "ContinuousLinearMap.uniformEmbedding_of_bound", "ContinuousLinearMap.uniformity_eq_seminorm", "ContinuousLinearMap.unit_le_opNorm", "ContinuousLinearMap.zero_apply", "ContinuousLinearMap.zero_comp", "ContinuousMap.AlgHom.closure_ker_inter", "ContinuousMap.Homotopic.equivalence", "ContinuousMap.Homotopic.hcomp", "ContinuousMap.Homotopic.prodMap", "ContinuousMap.Homotopic.symm", "ContinuousMap.Homotopic.trans", "ContinuousMap.HomotopicRel.equivalence", "ContinuousMap.HomotopicRel.homotopic", "ContinuousMap.HomotopicRel.refl", "ContinuousMap.HomotopicRel.symm", "ContinuousMap.HomotopicRel.trans", "ContinuousMap.HomotopicWith.refl", "ContinuousMap.HomotopicWith.trans", "ContinuousMap.Homotopy.apply_one", "ContinuousMap.Homotopy.apply_one_path", "ContinuousMap.Homotopy.apply_zero", "ContinuousMap.Homotopy.apply_zero_path", "ContinuousMap.Homotopy.coe_toContinuousMap", "ContinuousMap.Homotopy.congr_fun", "ContinuousMap.Homotopy.continuous", "ContinuousMap.Homotopy.eq_diag_path", "ContinuousMap.Homotopy.eq_path_of_eq_image", "ContinuousMap.Homotopy.evalAt_eq", "ContinuousMap.Homotopy.extend_apply_coe", "ContinuousMap.Homotopy.extend_apply_of_le_zero", "ContinuousMap.Homotopy.extend_apply_of_mem_I", "ContinuousMap.Homotopy.extend_apply_of_one_le", "ContinuousMap.Homotopy.hcast_def", "ContinuousMap.Homotopy.heq_path_of_eq_image", "ContinuousMap.Homotopy.start_path", "ContinuousMap.Homotopy.symm_bijective", "ContinuousMap.Homotopy.symm_symm", "ContinuousMap.Homotopy.symm_trans", "ContinuousMap.Homotopy.trans_apply", "ContinuousMap.Homotopy.ulift_apply", "ContinuousMap.HomotopyEquiv.coe_invFun", "ContinuousMap.HomotopyEquiv.continuous", "ContinuousMap.HomotopyEquiv.contractibleSpace", "ContinuousMap.HomotopyEquiv.contractibleSpace_iff", "ContinuousMap.HomotopyRel.eq_snd", "ContinuousMap.HomotopyRel.trans_apply", "ContinuousMap.HomotopyWith.apply_one", "ContinuousMap.HomotopyWith.apply_zero", "ContinuousMap.HomotopyWith.coeFn_injective", "ContinuousMap.HomotopyWith.continuous", "ContinuousMap.HomotopyWith.ext", "ContinuousMap.Nullhomotopic.comp_left", "ContinuousMap.Nullhomotopic.comp_right", "ContinuousMap.abs_mem_subalgebra_closure", "ContinuousMap.addEquivBoundedOfCompact_symm_apply", "ContinuousMap.adjoin_id_eq_span_one_add", "ContinuousMap.adjoin_id_eq_span_one_union", "ContinuousMap.algHom_ext_map_X", "ContinuousMap.apply_le_norm", "ContinuousMap.attachBound_apply_coe", "ContinuousMap.coeFn_toAEEqFun", "ContinuousMap.coeFn_toLp", "ContinuousMap.coe_IccExtend", "ContinuousMap.coe_coe", "ContinuousMap.coe_comp", "ContinuousMap.coe_const'", "ContinuousMap.coe_copy", "ContinuousMap.coe_div", "ContinuousMap.coe_id", "ContinuousMap.coe_inf", "ContinuousMap.coe_intCast", "ContinuousMap.coe_inv", "ContinuousMap.coe_mabs", "ContinuousMap.coe_mk", "ContinuousMap.coe_mul", "ContinuousMap.coe_mulRight", "ContinuousMap.coe_natCast", "ContinuousMap.coe_pow", "ContinuousMap.coe_prod", "ContinuousMap.coe_restrict", "ContinuousMap.coe_smul", "ContinuousMap.coe_star", "ContinuousMap.coe_sup'", "ContinuousMap.coe_toLp", "ContinuousMap.coe_zpow", "ContinuousMap.compStarAlgHom'_id", "ContinuousMap.comp_apply", "ContinuousMap.comp_attachBound_mem_closure", "ContinuousMap.comp_id", "ContinuousMap.comp_yonedaPresheaf'", "ContinuousMap.compactOpen_eq", "ContinuousMap.compactOpen_eq_iInf_induced", "ContinuousMap.compactOpen_le_induced", "ContinuousMap.congr_fun", "ContinuousMap.continuous", "ContinuousMap.continuousAt", "ContinuousMap.continuousMap_mem_subalgebra_closure_of_separatesPoints", "ContinuousMap.continuous_coev", "ContinuousMap.continuous_comp", "ContinuousMap.continuous_comp'", "ContinuousMap.continuous_comp_left", "ContinuousMap.continuous_compactOpen", "ContinuousMap.continuous_const'", "ContinuousMap.continuous_curry", "ContinuousMap.continuous_curry'", "ContinuousMap.continuous_eval", "ContinuousMap.continuous_eval_const", "ContinuousMap.continuous_isUnit_unit", "ContinuousMap.continuous_of_continuous_uncurry", "ContinuousMap.continuous_uncurry", "ContinuousMap.continuous_uncurry_of_continuous", "ContinuousMap.dist_apply_le_dist", "ContinuousMap.dist_le", "ContinuousMap.dist_le_iff_of_nonempty", "ContinuousMap.dist_le_two_norm", "ContinuousMap.dist_lt_iff", "ContinuousMap.dist_lt_iff_of_nonempty", "ContinuousMap.dist_lt_of_nonempty", "ContinuousMap.div_comp", "ContinuousMap.embedding_comp", "ContinuousMap.embedding_sigmaMk_comp", "ContinuousMap.exists_extension", "ContinuousMap.exists_extension_forall_mem", "ContinuousMap.exists_extension_forall_mem_of_closedEmbedding", "ContinuousMap.exists_forall_mem_restrict_eq", "ContinuousMap.exists_lift_sigma", "ContinuousMap.exists_mem_subalgebra_near_continuousMap_of_separatesPoints", "ContinuousMap.exists_mul_le_one_eqOn_ge", "ContinuousMap.exists_restrict_eq", "ContinuousMap.exists_restrict_eq_forall_mem_of_closed", "ContinuousMap.exists_tendsto_compactOpen_iff_forall", "ContinuousMap.ext", "ContinuousMap.hasBasis_compactConvergenceUniformity", "ContinuousMap.hasBasis_compactConvergenceUniformity_of_compact", "ContinuousMap.hasSum_apply", "ContinuousMap.hasSum_of_hasSum_Lp", "ContinuousMap.homotopic_const_iff", "ContinuousMap.id_comp", "ContinuousMap.idealOfEmpty_eq_bot", "ContinuousMap.idealOfSet_closed", "ContinuousMap.idealOfSet_isMaximal_iff", "ContinuousMap.idealOfSet_ofIdeal_eq_closure", "ContinuousMap.idealOf_compl_singleton_isMaximal", "ContinuousMap.ideal_gc", "ContinuousMap.ideal_isMaximal_iff", "ContinuousMap.image_coev", "ContinuousMap.inducing_comp", "ContinuousMap.inf'_apply", "ContinuousMap.inf_mem_closed_subalgebra", "ContinuousMap.inf_mem_subalgebra_closure", "ContinuousMap.injective_restrict", "ContinuousMap.inseparable_coe", "ContinuousMap.intCast_apply", "ContinuousMap.inv_comp", "ContinuousMap.isClopen_setOf_mapsTo", "ContinuousMap.isClosed_setOf_mapsTo", "ContinuousMap.isOpen_setOf_mapsTo", "ContinuousMap.isUnit_iff_forall_isUnit", "ContinuousMap.isUnit_iff_forall_ne_zero", "ContinuousMap.ker_evalStarAlgHom_eq_closure_adjoin_id", "ContinuousMap.ker_evalStarAlgHom_inter_adjoin_id", "ContinuousMap.le_def", "ContinuousMap.liftCover_coe", "ContinuousMap.liftCover_coe'", "ContinuousMap.liftCover_restrict", "ContinuousMap.liftCover_restrict'", "ContinuousMap.linearIsometryBoundedOfCompact_apply_apply", "ContinuousMap.linearIsometryBoundedOfCompact_of_compact_toEquiv", "ContinuousMap.linearIsometryBoundedOfCompact_toAddEquiv", "ContinuousMap.linearIsometryBoundedOfCompact_toIsometryEquiv", "ContinuousMap.lt_def", "ContinuousMap.mabs_apply", "ContinuousMap.mem_compactConvergence_entourage_iff", "ContinuousMap.mem_idealOfSet", "ContinuousMap.mem_idealOfSet_compl_singleton", "ContinuousMap.mem_setOfIdeal", "ContinuousMap.modulus_pos", "ContinuousMap.mul_apply", "ContinuousMap.mul_comp", "ContinuousMap.natCast_apply", "ContinuousMap.nhds_compactOpen", "ContinuousMap.nhds_compactOpen_eq_iInf_nhds_induced", "ContinuousMap.nnnorm_lt_iff", "ContinuousMap.nonUnitalStarAlgebraAdjoin_id_subset_ker_evalStarAlgHom", "ContinuousMap.norm_coe_le_norm", "ContinuousMap.norm_eq_iSup_norm", "ContinuousMap.norm_le", "ContinuousMap.norm_le_of_nonempty", "ContinuousMap.norm_lt_iff", "ContinuousMap.norm_lt_iff_of_nonempty", "ContinuousMap.not_mem_idealOfSet", "ContinuousMap.not_mem_setOfIdeal", "ContinuousMap.periodic_tsum_comp_add_zsmul", "ContinuousMap.piComparison_fac", "ContinuousMap.pi_eval", "ContinuousMap.polynomial_comp_attachBound", "ContinuousMap.polynomial_comp_attachBound_mem", "ContinuousMap.pow_apply", "ContinuousMap.pow_comp", "ContinuousMap.prod_apply", "ContinuousMap.prod_eval", "ContinuousMap.range_toLp", "ContinuousMap.restrict_apply", "ContinuousMap.restrict_apply_mk", "ContinuousMap.setOfIdeal_eq_compl_singleton", "ContinuousMap.setOfIdeal_ofSet_eq_interior", "ContinuousMap.setOfIdeal_ofSet_of_isOpen", "ContinuousMap.setOfIdeal_open", "ContinuousMap.setOfTop_eq_univ", "ContinuousMap.smul_apply", "ContinuousMap.specializes_coe", "ContinuousMap.spectrum_eq_preimage_range", "ContinuousMap.spectrum_eq_range", "ContinuousMap.starAlgHom_ext_map_X", "ContinuousMap.starOrderedRing_of_sqrt", "ContinuousMap.starSubalgebra_topologicalClosure_eq_top_of_separatesPoints", "ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints", "ContinuousMap.sublattice_closure_eq_top", "ContinuousMap.summable_apply", "ContinuousMap.summable_of_locally_summable_norm", "ContinuousMap.sup'_apply", "ContinuousMap.sup_apply", "ContinuousMap.sup_mem_closed_subalgebra", "ContinuousMap.sup_mem_subalgebra_closure", "ContinuousMap.tendstoLocallyUniformly_of_tendsto", "ContinuousMap.tendsto_compactOpen_iff_forall", "ContinuousMap.tendsto_compactOpen_restrict", "ContinuousMap.tendsto_iff_forall_compact_tendstoUniformlyOn", "ContinuousMap.tendsto_iff_tendstoLocallyUniformly", "ContinuousMap.tendsto_iff_tendstoUniformly", "ContinuousMap.tendsto_nhds_compactOpen", "ContinuousMap.tendsto_of_tendstoLocallyUniformly", "ContinuousMap.toFun_eq_coe", "ContinuousMap.toLp_comp_toContinuousMap", "ContinuousMap.toLp_def", "ContinuousMap.toLp_denseRange", "ContinuousMap.toLp_injective", "ContinuousMap.toLp_norm_eq_toLp_norm_coe", "ContinuousMap.toNNReal_add_add_neg_add_neg_eq", "ContinuousMap.toNNReal_algebraMap", "ContinuousMap.toNNReal_apply", "ContinuousMap.toNNReal_mul_add_neg_mul_add_mul_neg_eq", "ContinuousMap.toNNReal_neg_algebraMap", "ContinuousMap.toNNReal_neg_one", "ContinuousMap.toNNReal_one", "ContinuousMap.toUniformOnFun_toFun", "ContinuousMap.tsum_apply", "ContinuousMap.uniformContinuous_comp", "ContinuousMap.uniformContinuous_comp_left", "ContinuousMap.uniformEmbedding_comp", "ContinuousMap.uniformEmbedding_equivBoundedOfCompact", "ContinuousMap.uniformInducing_equivBoundedOfCompact", "ContinuousMap.uniformSpace_eq_iInf_precomp_of_cover", "ContinuousMap.uniformSpace_eq_inf_precomp_of_cover", "ContinuousMap.unitsLift_apply_inv_apply", "ContinuousMap.zpow_apply", "ContinuousMap.zpow_comp", "ContinuousMapZero.adjoin_id_dense", "ContinuousMapZero.closedEmbedding_toContinuousMap", "ContinuousMapZero.coe_add", "ContinuousMapZero.coe_mk", "ContinuousMapZero.coe_mul", "ContinuousMapZero.coe_neg", "ContinuousMapZero.coe_toContinuousMapHom", "ContinuousMapZero.coe_zero", "ContinuousMapZero.comp_apply", "ContinuousMapZero.continuous_toNNReal", "ContinuousMapZero.embedding_toContinuousMap", "ContinuousMapZero.ext", "ContinuousMapZero.le_def", "ContinuousMapZero.range_toContinuousMap", "ContinuousMapZero.toContinuousMapHom_toNNReal", "ContinuousMapZero.toContinuousMap_id", "ContinuousMapZero.toContinuousMap_injective", "ContinuousMapZero.toNNReal_add_add_neg_add_neg_eq", "ContinuousMapZero.toNNReal_apply", "ContinuousMapZero.toNNReal_mul_add_neg_mul_add_mul_neg_eq", "ContinuousMapZero.toNNReal_neg_smul", "ContinuousMapZero.toNNReal_smul", "ContinuousMapZero.uniformEmbedding_comp", "ContinuousMonoidHom.closedEmbedding_toContinuousMap", "ContinuousMonoidHom.continuous_comp", "ContinuousMonoidHom.continuous_comp_left", "ContinuousMonoidHom.embedding_toContinuousMap", "ContinuousMonoidHom.ext", "ContinuousMonoidHom.inducing_toContinuousMap", "ContinuousMonoidHom.range_toContinuousMap", "ContinuousMonoidHom.toContinuousMap_injective", "ContinuousMul.of_nhds_one", "ContinuousMultilinearMap.add_apply", "ContinuousMultilinearMap.alternatization_apply_apply", "ContinuousMultilinearMap.alternatization_apply_toAlternatingMap", "ContinuousMultilinearMap.apply_zero_curry0", "ContinuousMultilinearMap.bound", "ContinuousMultilinearMap.bounds_nonempty", "ContinuousMultilinearMap.cPolynomialAt", "ContinuousMultilinearMap.cPolyomialOn", "ContinuousMultilinearMap.changeOriginSeries_support", "ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeries", "ContinuousMultilinearMap.coe_coe", "ContinuousMultilinearMap.coe_continuous", "ContinuousMultilinearMap.coe_pi", "ContinuousMultilinearMap.coe_restrictScalars", "ContinuousMultilinearMap.compAlongComposition_apply", "ContinuousMultilinearMap.compContinuousLinearMapEquivL_apply", "ContinuousMultilinearMap.compContinuousLinearMapEquivL_symm", "ContinuousMultilinearMap.compContinuousLinearMapLRight_apply", "ContinuousMultilinearMap.compContinuousLinearMap_apply", "ContinuousMultilinearMap.completeSpace", "ContinuousMultilinearMap.cons_add", "ContinuousMultilinearMap.cons_smul", "ContinuousMultilinearMap.contDiff", "ContinuousMultilinearMap.contDiffAt", "ContinuousMultilinearMap.continuous_coe_fun", "ContinuousMultilinearMap.continuous_eval", "ContinuousMultilinearMap.continuous_eval_const", "ContinuousMultilinearMap.curry0_norm", "ContinuousMultilinearMap.curryFinFinset_apply", "ContinuousMultilinearMap.curryFinFinset_apply_const", "ContinuousMultilinearMap.curryFinFinset_symm_apply", "ContinuousMultilinearMap.curryFinFinset_symm_apply_const", "ContinuousMultilinearMap.curryFinFinset_symm_apply_piecewise_const", "ContinuousMultilinearMap.curryLeft_apply", "ContinuousMultilinearMap.curryLeft_norm", "ContinuousMultilinearMap.curryRight_apply", "ContinuousMultilinearMap.currySum_apply", "ContinuousMultilinearMap.curry_uncurryRight", "ContinuousMultilinearMap.embedding_toUniformOnFun", "ContinuousMultilinearMap.fin0_apply_norm", "ContinuousMultilinearMap.hasBasis_nhds_zero", "ContinuousMultilinearMap.hasBasis_nhds_zero_of_basis", "ContinuousMultilinearMap.hasFDerivAt", "ContinuousMultilinearMap.hasFTaylorSeriesUpTo_iteratedFDeriv", "ContinuousMultilinearMap.hasFiniteFPowerSeriesOnBall", "ContinuousMultilinearMap.hasSum_eval", "ContinuousMultilinearMap.integral_apply", "ContinuousMultilinearMap.isLeast_opNNNorm", "ContinuousMultilinearMap.isLeast_opNorm", "ContinuousMultilinearMap.le_of_opNNNorm_le", "ContinuousMultilinearMap.le_of_opNorm_le", "ContinuousMultilinearMap.le_opNNNorm", "ContinuousMultilinearMap.le_opNorm", "ContinuousMultilinearMap.le_opNorm_mul_pow_card_of_le", "ContinuousMultilinearMap.le_opNorm_mul_pow_of_le", "ContinuousMultilinearMap.linearDeriv_apply", "ContinuousMultilinearMap.map_coord_zero", "ContinuousMultilinearMap.map_piecewise_add", "ContinuousMultilinearMap.map_piecewise_smul", "ContinuousMultilinearMap.map_smul_univ", "ContinuousMultilinearMap.map_sub", "ContinuousMultilinearMap.map_sum", "ContinuousMultilinearMap.map_sum_finset", "ContinuousMultilinearMap.mkPiAlgebraFin_apply", "ContinuousMultilinearMap.mkPiRing_apply", "ContinuousMultilinearMap.mkPiRing_apply_one_eq_self", "ContinuousMultilinearMap.mkPiRing_eq_iff", "ContinuousMultilinearMap.mkPiRing_eq_zero_iff", "ContinuousMultilinearMap.mkPiRing_zero", "ContinuousMultilinearMap.nnnorm_constOfIsEmpty", "ContinuousMultilinearMap.nnnorm_ofSubsingleton", "ContinuousMultilinearMap.nnnorm_ofSubsingleton_id", "ContinuousMultilinearMap.nnnorm_ofSubsingleton_id_le", "ContinuousMultilinearMap.nnnorm_smulRight", "ContinuousMultilinearMap.norm_compContinuousLinearMapL_le", "ContinuousMultilinearMap.norm_compContinuousLinearMap_le", "ContinuousMultilinearMap.norm_compContinuous_linearIsometryEquiv", "ContinuousMultilinearMap.norm_compContinuous_linearIsometry_le", "ContinuousMultilinearMap.norm_constOfIsEmpty", "ContinuousMultilinearMap.norm_def", "ContinuousMultilinearMap.norm_domDomCongr", "ContinuousMultilinearMap.norm_image_sub_le'", "ContinuousMultilinearMap.norm_iteratedFDerivComponent_le", "ContinuousMultilinearMap.norm_iteratedFDeriv_le", "ContinuousMultilinearMap.norm_iteratedFDeriv_le'", "ContinuousMultilinearMap.norm_map_cons_le", "ContinuousMultilinearMap.norm_map_snoc_le", "ContinuousMultilinearMap.norm_mkPiAlgebra", "ContinuousMultilinearMap.norm_mkPiAlgebraFin", "ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos", "ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_le", "ContinuousMultilinearMap.norm_mkPiAlgebraFin_zero", "ContinuousMultilinearMap.norm_mkPiAlgebra_le", "ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty", "ContinuousMultilinearMap.norm_mkPiRing", "ContinuousMultilinearMap.norm_ofSubsingleton", "ContinuousMultilinearMap.norm_ofSubsingleton_id", "ContinuousMultilinearMap.norm_ofSubsingleton_id_le", "ContinuousMultilinearMap.norm_restr", "ContinuousMultilinearMap.norm_restrictScalars", "ContinuousMultilinearMap.norm_smulRightL_le", "ContinuousMultilinearMap.opNNNorm_le_iff", "ContinuousMultilinearMap.opNNNorm_pi", "ContinuousMultilinearMap.opNNNorm_prod", "ContinuousMultilinearMap.opNorm_add_le", "ContinuousMultilinearMap.opNorm_le_bound", "ContinuousMultilinearMap.opNorm_le_iff", "ContinuousMultilinearMap.opNorm_neg", "ContinuousMultilinearMap.opNorm_nonneg", "ContinuousMultilinearMap.opNorm_smul_le", "ContinuousMultilinearMap.opNorm_zero_iff", "ContinuousMultilinearMap.pi_apply", "ContinuousMultilinearMap.range_toUniformOnFun", "ContinuousMultilinearMap.ratio_le_opNorm", "ContinuousMultilinearMap.smul_apply", "ContinuousMultilinearMap.sub_apply", "ContinuousMultilinearMap.sum_apply", "ContinuousMultilinearMap.toMultilinearMap_add", "ContinuousMultilinearMap.toMultilinearMap_smul", "ContinuousMultilinearMap.toMultilinearMap_zero", "ContinuousMultilinearMap.toUniformOnFun_toFun", "ContinuousMultilinearMap.tsum_eval", "ContinuousMultilinearMap.uncurry0_apply", "ContinuousMultilinearMap.uncurryRight_norm", "ContinuousMultilinearMap.uncurrySum_apply", "ContinuousMultilinearMap.uncurry_curryRight", "ContinuousMultilinearMap.uniformContinuous_coe_fun", "ContinuousMultilinearMap.uniformEmbedding_toUniformOnFun", "ContinuousMultilinearMap.uniformity_eq_seminorm", "ContinuousMultilinearMap.unit_le_opNorm", "ContinuousMultilinearMap.zero_apply", "ContinuousOn.aemeasurable", "ContinuousOn.aestronglyMeasurable", "ContinuousOn.aestronglyMeasurable_of_isCompact", "ContinuousOn.aestronglyMeasurable_of_isSeparable", "ContinuousOn.angle_sign_comp", "ContinuousOn.arsinh", "ContinuousOn.circleIntegrable", "ContinuousOn.circleIntegrable'", "ContinuousOn.comp", "ContinuousOn.comp'", "ContinuousOn.comp''", "ContinuousOn.compCM", "ContinuousOn.comp_fract", "ContinuousOn.comp_fract'", "ContinuousOn.comp_fract''", "ContinuousOn.congr", "ContinuousOn.congr_mono", "ContinuousOn.const_smul", "ContinuousOn.continuousAt", "ContinuousOn.continuousWithinAt", "ContinuousOn.cpow", "ContinuousOn.cpow_const", "ContinuousOn.div", "ContinuousOn.div_const", "ContinuousOn.div\u2080", "ContinuousOn.exists_forall_ge'", "ContinuousOn.exists_forall_le'", "ContinuousOn.exists_isMaxOn'", "ContinuousOn.exists_isMinOn'", "ContinuousOn.finset_inf", "ContinuousOn.finset_inf'", "ContinuousOn.finset_sup'", "ContinuousOn.finset_sup_apply", "ContinuousOn.fst", "ContinuousOn.if", "ContinuousOn.if'", "ContinuousOn.image_Icc", "ContinuousOn.image_uIcc", "ContinuousOn.image_uIcc_eq_Icc", "ContinuousOn.inf", "ContinuousOn.inf'", "ContinuousOn.inner", "ContinuousOn.integrableAt_nhdsWithin", "ContinuousOn.integrableOn_Icc", "ContinuousOn.integrableOn_compact", "ContinuousOn.intervalIntegrable", "ContinuousOn.inv", "ContinuousOn.inversion", "ContinuousOn.inv\u2080", "ContinuousOn.isOpen_inter_preimage", "ContinuousOn.isOpen_preimage", "ContinuousOn.isSeparable_image", "ContinuousOn.le_sSup_image_Icc", "ContinuousOn.lowerSemicontinuousOn", "ContinuousOn.measurableEmbedding", "ContinuousOn.measurable_piecewise", "ContinuousOn.mono", "ContinuousOn.mono_rng", "ContinuousOn.mul", "ContinuousOn.nhds", "ContinuousOn.nnnorm'", "ContinuousOn.norm'", "ContinuousOn.partialSups", "ContinuousOn.partialSups_apply", "ContinuousOn.piecewise'", "ContinuousOn.pow", "ContinuousOn.preimage_interior_subset_interior_preimage", "ContinuousOn.preimage_isClopen_of_isClopen", "ContinuousOn.preimage_isClosed_of_isClosed", "ContinuousOn.prod", "ContinuousOn.prod_map", "ContinuousOn.rpow_const", "ContinuousOn.sInf_image_Icc_le", "ContinuousOn.smul", "ContinuousOn.snd", "ContinuousOn.star", "ContinuousOn.strictAntiOn_of_injOn_Icc", "ContinuousOn.strictMonoOn_of_injOn_Icc", "ContinuousOn.strictMonoOn_of_injOn_Icc'", "ContinuousOn.strictMonoOn_of_injOn_Ioo", "ContinuousOn.stronglyMeasurableAtFilter", "ContinuousOn.stronglyMeasurableAtFilter_nhdsWithin", "ContinuousOn.sup", "ContinuousOn.surjOn_Icc", "ContinuousOn.surjOn_of_tendsto'", "ContinuousOn.surjOn_uIcc", "ContinuousOn.tendstoUniformly", "ContinuousOn.vsub", "ContinuousOn.zpow", "ContinuousOn.zpow\u2080", "ContinuousOpenMap.cancel_left", "ContinuousOpenMap.cancel_right", "ContinuousOpenMap.coe_id", "ContinuousOpenMap.coe_toContinuousMap", "ContinuousOpenMap.comp_assoc", "ContinuousOpenMap.comp_id", "ContinuousOpenMap.copy_eq", "ContinuousOpenMap.ext", "ContinuousOpenMap.id_comp", "ContinuousOpenMap.toFun_eq_coe", "ContinuousOrderHom.cancel_left", "ContinuousOrderHom.cancel_right", "ContinuousOrderHom.coe_comp", "ContinuousOrderHom.coe_id", "ContinuousOrderHom.coe_toOrderHom", "ContinuousOrderHom.comp_apply", "ContinuousOrderHom.comp_assoc", "ContinuousOrderHom.comp_id", "ContinuousOrderHom.id_apply", "ContinuousOrderHom.id_comp", "ContinuousSMul.of_basis_zero", "ContinuousSMul.of_nhds_zero", "ContinuousWithinAt.arsinh", "ContinuousWithinAt.comp'", "ContinuousWithinAt.compCM", "ContinuousWithinAt.congr", "ContinuousWithinAt.congr_of_eventuallyEq", "ContinuousWithinAt.const_cpow", "ContinuousWithinAt.const_smul", "ContinuousWithinAt.diff_iff", "ContinuousWithinAt.div'", "ContinuousWithinAt.div_const", "ContinuousWithinAt.finset_inf'_apply", "ContinuousWithinAt.finset_inf_apply", "ContinuousWithinAt.finset_sup'_apply", "ContinuousWithinAt.finset_sup_apply", "ContinuousWithinAt.fst", "ContinuousWithinAt.image_closure", "ContinuousWithinAt.inf", "ContinuousWithinAt.inner", "ContinuousWithinAt.integral_sub_linear_isLittleO_ae", "ContinuousWithinAt.inv", "ContinuousWithinAt.inversion", "ContinuousWithinAt.inv\u2080", "ContinuousWithinAt.log", "ContinuousWithinAt.lowerSemicontinuousWithinAt", "ContinuousWithinAt.mem_closure", "ContinuousWithinAt.mem_closure_image", "ContinuousWithinAt.mono", "ContinuousWithinAt.mul", "ContinuousWithinAt.nhds", "ContinuousWithinAt.nhdsWithin_extChartAt_symm_preimage_inter_range", "ContinuousWithinAt.nnnorm'", "ContinuousWithinAt.norm'", "ContinuousWithinAt.of_dslope", "ContinuousWithinAt.partialSups", "ContinuousWithinAt.partialSups_apply", "ContinuousWithinAt.preimage_mem_nhdsWithin", "ContinuousWithinAt.preimage_mem_nhdsWithin''", "ContinuousWithinAt.prod_map", "ContinuousWithinAt.rpow", "ContinuousWithinAt.rpow_const", "ContinuousWithinAt.smul", "ContinuousWithinAt.snd", "ContinuousWithinAt.sqrt", "ContinuousWithinAt.star", "ContinuousWithinAt.sup", "ContinuousWithinAt.tendsto", "ContinuousWithinAt.tendsto_nhdsWithin", "ContinuousWithinAt.tendsto_nhdsWithin_image", "ContinuousWithinAt.union", "ContinuousWithinAt.upperSemicontinuousWithinAt", "ContinuousWithinAt.vsub", "ContinuousWithinAt.zpow", "ContinuousWithinAt.zpow\u2080", "ContractibleSpace.hequiv", "ContractibleSpace.hequiv_unit", "ContractingWith.aposteriori_dist_iterate_fixedPoint_le", "ContractingWith.apriori_dist_iterate_fixedPoint_le", "ContractingWith.apriori_edist_iterate_efixedPoint_le'", "ContractingWith.dist_fixedPoint_fixedPoint_of_dist_le'", "ContractingWith.dist_fixedPoint_le", "ContractingWith.dist_inequality", "ContractingWith.dist_le_mul", "ContractingWith.dist_le_of_fixedPoint", "ContractingWith.edist_efixedPoint_le", "ContractingWith.edist_efixedPoint_le'", "ContractingWith.edist_efixedPoint_lt_top'", "ContractingWith.edist_inequality", "ContractingWith.edist_le_of_fixedPoint", "ContractingWith.efixedPoint_eq_of_edist_lt_top", "ContractingWith.efixedPoint_eq_of_edist_lt_top'", "ContractingWith.efixedPoint_isFixedPt'", "ContractingWith.efixedPoint_mem'", "ContractingWith.eq_or_edist_eq_top_of_fixedPoints", "ContractingWith.exists_fixedPoint'", "ContractingWith.fixedPoint_isFixedPt", "ContractingWith.fixedPoint_lipschitz_in_map", "ContractingWith.fixedPoint_unique", "ContractingWith.fixedPoint_unique'", "ContractingWith.isFixedPt_fixedPoint_iterate", "ContractingWith.one_sub_K_ne_top", "ContractingWith.restrict", "ContractingWith.tendsto_iterate_efixedPoint", "ContractingWith.tendsto_iterate_efixedPoint'", "ContractingWith.tendsto_iterate_fixedPoint", "ContractingWith.toLipschitzWith", "Contravariant.MulLECancellable", "Convex.add", "Convex.addHaar_frontier", "Convex.add_smul", "Convex.add_smul_mem", "Convex.add_smul_mem_interior", "Convex.add_smul_mem_interior'", "Convex.add_smul_sub_mem", "Convex.add_smul_sub_mem_interior'", "Convex.affine_image", "Convex.affine_preimage", "Convex.affinity", "Convex.average_mem", "Convex.average_mem_interior_of_set", "Convex.centerMass_mem", "Convex.closure", "Convex.closure_subset_image_homothety_interior_of_one_lt", "Convex.combo_affine_apply", "Convex.combo_closure_interior_subset_interior", "Convex.combo_eq_smul_sub_add", "Convex.combo_interior_closure_subset_interior", "Convex.combo_interior_self_mem_interior", "Convex.combo_interior_self_subset_interior", "Convex.combo_le_max", "Convex.combo_self", "Convex.combo_self_interior_subset_interior", "Convex.convexHull_subset_iff", "Convex.convexHull_union", "Convex.convexIndependent_extremePoints", "Convex.convexJoin", "Convex.convex_remove_iff_not_mem_convexHull_remove", "Convex.cthickening", "Convex.eqOn_of_fderivWithin_eq", "Convex.exists_mem_add_smul_eq", "Convex.exists_nhdsWithin_lipschitzOnWith_of_hasFDerivWithinAt", "Convex.exists_nhdsWithin_lipschitzOnWith_of_hasFDerivWithinAt_of_nnnorm_lt", "Convex.finsum_mem", "Convex.gauge_le", "Convex.image_deriv", "Convex.image_hasDerivWithinAt", "Convex.image_sub_le_mul_sub_of_deriv_le", "Convex.image_sub_lt_mul_sub_of_deriv_lt", "Convex.integral_mem", "Convex.interior_nonempty_iff_affineSpan_eq_top", "Convex.isConnected", "Convex.isLittleO_alternate_sum_square", "Convex.isPathConnected", "Convex.isPreconnected", "Convex.is_const_of_fderivWithin_eq_zero", "Convex.is_linear_image", "Convex.linear_image", "Convex.lipschitzOnWith_of_nnnorm_deriv_le", "Convex.lipschitzOnWith_of_nnnorm_fderiv_le", "Convex.lipschitzOnWith_of_nnnorm_hasDerivWithin_le", "Convex.lipschitzOnWith_of_nnnorm_hasFDerivWithin_le", "Convex.lipschitzWith_gauge", "Convex.lipschitz_gauge", "Convex.mapsTo_lineMap", "Convex.mem_Icc", "Convex.mem_Ico", "Convex.mem_Ioc", "Convex.mem_extremePoints_iff_convex_diff", "Convex.mem_extremePoints_iff_mem_diff_convexHull_diff", "Convex.mem_smul_of_zero_mem", "Convex.mem_toCone", "Convex.mem_toCone'", "Convex.min_le_combo", "Convex.mul_sub_le_image_sub_of_le_deriv", "Convex.mul_sub_lt_image_sub_of_lt_deriv", "Convex.norm_image_sub_le_of_norm_derivWithin_le", "Convex.norm_image_sub_le_of_norm_deriv_le", "Convex.norm_image_sub_le_of_norm_fderivWithin_le'", "Convex.norm_image_sub_le_of_norm_fderiv_le", "Convex.norm_image_sub_le_of_norm_fderiv_le'", "Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le", "Convex.norm_image_sub_le_of_norm_hasFDerivWithin_le'", "Convex.nullMeasurableSet", "Convex.openSegment_interior_closure_subset_interior", "Convex.openSegment_interior_self_subset_interior", "Convex.prod", "Convex.quasiconcaveOn_of_convex_ge", "Convex.quasiconvexOn_of_convex_le", "Convex.second_derivative_within_at_symmetric", "Convex.second_derivative_within_at_symmetric_of_mem_interior", "Convex.segment_subset", "Convex.set_average_mem", "Convex.set_average_mem_closure", "Convex.smul_mem_of_zero_mem", "Convex.smul_preimage", "Convex.starConvex", "Convex.starConvex_iff", "Convex.strictConvex", "Convex.strictConvex'", "Convex.sub", "Convex.subset_interior_image_homothety_of_one_lt", "Convex.subset_toCone", "Convex.sum_mem", "Convex.taylor_approx_two_segment", "Convex.thickening", "Convex.toCone_isLeast", "Convex.translate_preimage_left", "Convex.translate_preimage_right", "Convex.uniformContinuous_gauge", "Convex.vadd", "ConvexBody.coe_add", "ConvexBody.coe_mk", "ConvexBody.coe_smul'", "ConvexBody.convex", "ConvexBody.ext", "ConvexBody.hausdorffDist_coe", "ConvexBody.hausdorffEdist_coe", "ConvexBody.hausdorffEdist_ne_top", "ConvexBody.iInter_smul_eq_self", "ConvexBody.isBounded", "ConvexBody.isClosed", "ConvexBody.isCompact", "ConvexBody.nonempty", "ConvexBody.smul_le_of_le", "ConvexBody.zero_mem_of_symmetric", "ConvexCone.Blunt.anti", "ConvexCone.Blunt.salient", "ConvexCone.Flat.mono", "ConvexCone.Flat.pointed", "ConvexCone.blunt_iff_not_pointed", "ConvexCone.closure_eq", "ConvexCone.coe_bot", "ConvexCone.coe_closure", "ConvexCone.coe_comap", "ConvexCone.coe_iInf", "ConvexCone.coe_positive", "ConvexCone.coe_sInf", "ConvexCone.coe_strictlyPositive", "ConvexCone.coe_toPointedCone", "ConvexCone.coe_top", "ConvexCone.coe_zero", "ConvexCone.convex", "ConvexCone.ext", "ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem", "ConvexCone.innerDualCone_of_innerDualCone_eq_self", "ConvexCone.mem_closure", "ConvexCone.mem_comap", "ConvexCone.mem_inf", "ConvexCone.mem_map", "ConvexCone.mem_mk", "ConvexCone.mem_positive", "ConvexCone.mem_sInf", "ConvexCone.mem_strictlyPositive", "ConvexCone.mem_toPointedCone", "ConvexCone.pointed_iff_not_blunt", "ConvexCone.pointed_of_nonempty_of_isClosed", "ConvexCone.pointed_positive", "ConvexCone.positive_le_strictlyPositive", "ConvexCone.salient_iff_not_flat", "ConvexCone.salient_positive", "ConvexCone.salient_strictlyPositive", "ConvexCone.smul_mem_iff", "ConvexCone.to_orderedSMul", "ConvexIndependent.comp_embedding", "ConvexIndependent.injective", "ConvexIndependent.mem_convexHull_iff", "ConvexIndependent.mono", "ConvexIndependent.range", "ConvexOn.add", "ConvexOn.add_const", "ConvexOn.add_strictConvexOn", "ConvexOn.average_mem_epigraph", "ConvexOn.comp", "ConvexOn.comp_affineMap", "ConvexOn.convex_lt", "ConvexOn.convex_strict_epigraph", "ConvexOn.dual", "ConvexOn.exists_ge_of_centerMass", "ConvexOn.exists_ge_of_mem_convexHull", "ConvexOn.le_left_of_right_le'", "ConvexOn.le_max_of_mem_Icc", "ConvexOn.le_max_of_mem_segment", "ConvexOn.le_on_segment", "ConvexOn.le_on_segment'", "ConvexOn.le_right_of_left_le", "ConvexOn.le_right_of_left_le'", "ConvexOn.le_right_of_left_le''", "ConvexOn.le_slope_of_hasDerivAt", "ConvexOn.le_slope_of_hasDerivWithinAt_Ioi", "ConvexOn.lt_left_of_right_lt", "ConvexOn.lt_left_of_right_lt'", "ConvexOn.lt_right_of_left_lt", "ConvexOn.lt_right_of_left_lt'", "ConvexOn.map_add_sum_le", "ConvexOn.map_centerMass_le", "ConvexOn.map_sum_le", "ConvexOn.monotoneOn_deriv", "ConvexOn.monotoneOn_derivWithin", "ConvexOn.mul'", "ConvexOn.mul_concaveOn'", "ConvexOn.openSegment_subset_strict_epigraph", "ConvexOn.pow", "ConvexOn.quasiconvexOn", "ConvexOn.right_deriv_le_slope", "ConvexOn.secant_mono", "ConvexOn.secant_mono_aux1", "ConvexOn.secant_mono_aux2", "ConvexOn.slope_le_deriv", "ConvexOn.slope_le_derivWithin", "ConvexOn.slope_le_left_deriv", "ConvexOn.slope_le_of_hasDerivWithinAt", "ConvexOn.slope_le_of_hasDerivWithinAt_Iio", "ConvexOn.slope_mono", "ConvexOn.slope_mono_adjacent", "ConvexOn.smul", "ConvexOn.smul'", "ConvexOn.smul''", "ConvexOn.smul_concaveOn", "ConvexOn.smul_concaveOn'", "ConvexOn.strict_mono_of_lt", "ConvexOn.sub", "ConvexOn.subset", "ConvexOn.sup", "ConvexOn.translate_left", "ConvexOn.translate_right", "Convex_subadditive_le", "Coplanar.finiteDimensional_direction_affineSpan", "Coplanar.finiteDimensional_vectorSpan", "Coplanar.subset", "CorePresheafOfModules.toPresheafOfModules_obj", "CorePresheafOfModules.toPresheafOfModules_presheaf_map_apply", "Corners.card_triangleIndices", "Corners.farFromTriangleFree_graph", "Corners.mk_mem_triangleIndices", "Countable.of_equiv", "CovBy.Icc_eq", "CovBy.Ico_eq", "CovBy.Ioc_eq", "CovBy.Ioi_eq", "CovBy.card_finset", "CovBy.card_multiset", "CovBy.eq_or_eq", "CovBy.exists_finset_cons", "CovBy.exists_finset_erase", "CovBy.exists_finset_insert", "CovBy.exists_set_sdiff_singleton", "CovBy.image", "CovBy.le", "CovBy.nhdsWithin_Iio", "CovBy.of_le_of_lt", "CovBy.of_lt_of_le", "CovBy.pred_eq", "CovBy.trans_antisymmRel", "CovBy.unique_left", "CovBy.unique_right", "CovBy.wcovBy", "Covariant.monotone_of_const", "CoxeterMatrix.reindexGroupEquiv_apply_simple", "CoxeterMatrix.reindexGroupEquiv_symm_apply_simple", "CoxeterMatrix.reindex_apply", "CoxeterMatrix.reindex_relationsSet", "CoxeterMatrix.symmetric", "CoxeterMatrix.toCoxeterSystem_simple", "CoxeterSystem.IsReduced.nodup_leftInvSeq", "CoxeterSystem.IsReduced.nodup_rightInvSeq", "CoxeterSystem.IsReflection.conj", "CoxeterSystem.IsReflection.inv", "CoxeterSystem.IsReflection.isRightInversion_mul_left_iff", "CoxeterSystem.IsReflection.length_mul_left_ne", "CoxeterSystem.IsReflection.length_mul_right_ne", "CoxeterSystem.IsReflection.odd_length", "CoxeterSystem.IsReflection.pow_two", "CoxeterSystem.alternatingWord_succ'", "CoxeterSystem.exists_leftDescent_of_ne_one", "CoxeterSystem.exists_reduced_word", "CoxeterSystem.exists_rightDescent_of_ne_one", "CoxeterSystem.exists_word_with_prod", "CoxeterSystem.ext_simple", "CoxeterSystem.getD_leftInvSeq", "CoxeterSystem.getD_leftInvSeq_mul_self", "CoxeterSystem.getD_leftInvSeq_mul_wordProd", "CoxeterSystem.getD_rightInvSeq", "CoxeterSystem.getD_rightInvSeq_mul_self", "CoxeterSystem.inv_simple", "CoxeterSystem.isLeftDescent_iff", "CoxeterSystem.isLeftDescent_iff_not_isLeftDescent_mul", "CoxeterSystem.isLeftDescent_inv_iff", "CoxeterSystem.isLeftInversion_of_mem_leftInvSeq", "CoxeterSystem.isLeftInversion_simple_iff_isLeftDescent", "CoxeterSystem.isReduced_drop", "CoxeterSystem.isReduced_take", "CoxeterSystem.isReduced_take_and_drop", "CoxeterSystem.isReflection_conj_iff", "CoxeterSystem.isReflection_of_mem_leftInvSeq", "CoxeterSystem.isReflection_of_mem_rightInvSeq", "CoxeterSystem.isReflection_simple", "CoxeterSystem.isRightDescent_iff", "CoxeterSystem.isRightDescent_iff_not_isRightDescent_mul", "CoxeterSystem.isRightDescent_inv_iff", "CoxeterSystem.isRightInversion_inv_iff", "CoxeterSystem.isRightInversion_of_mem_rightInvSeq", "CoxeterSystem.isRightInversion_simple_iff_isRightDescent", "CoxeterSystem.leftInvSeq_concat", "CoxeterSystem.leftInvSeq_eq_reverse_rightInvSeq_reverse", "CoxeterSystem.leftInvSeq_nil", "CoxeterSystem.leftInvSeq_reverse", "CoxeterSystem.leftInvSeq_take", "CoxeterSystem.lengthParity_comp_simple", "CoxeterSystem.lengthParity_eq_ofAdd_length", "CoxeterSystem.lengthParity_simple", "CoxeterSystem.length_alternatingWord", "CoxeterSystem.length_eq_one_iff", "CoxeterSystem.length_eq_zero_iff", "CoxeterSystem.length_inv", "CoxeterSystem.length_leftInvSeq", "CoxeterSystem.length_mul_ge_length_sub_length", "CoxeterSystem.length_mul_ge_length_sub_length'", "CoxeterSystem.length_mul_mod_two", "CoxeterSystem.length_mul_simple", "CoxeterSystem.length_mul_simple_ne", "CoxeterSystem.length_one", "CoxeterSystem.length_rightInvSeq", "CoxeterSystem.length_simple", "CoxeterSystem.length_simple_mul_ne", "CoxeterSystem.length_wordProd_le", "CoxeterSystem.not_isLeftDescent_iff", "CoxeterSystem.not_isLeftDescent_one", "CoxeterSystem.not_isReduced_alternatingWord", "CoxeterSystem.not_isRightDescent_iff", "CoxeterSystem.prod_alternatingWord_eq_mul_pow", "CoxeterSystem.prod_alternatingWord_eq_prod_alternatingWord_sub", "CoxeterSystem.prod_leftInvSeq", "CoxeterSystem.prod_rightInvSeq", "CoxeterSystem.reindex_simple", "CoxeterSystem.relations_liftable", "CoxeterSystem.rightInvSeq_concat", "CoxeterSystem.rightInvSeq_drop", "CoxeterSystem.rightInvSeq_nil", "CoxeterSystem.rightInvSeq_reverse", "CoxeterSystem.rightInvSeq_singleton", "CoxeterSystem.simple_determines_coxeterSystem", "CoxeterSystem.simple_induction", "CoxeterSystem.simple_induction_left", "CoxeterSystem.simple_induction_right", "CoxeterSystem.simple_mul_simple_cancel_left", "CoxeterSystem.simple_mul_simple_cancel_right", "CoxeterSystem.simple_mul_simple_pow", "CoxeterSystem.simple_mul_simple_self", "CoxeterSystem.subgroup_closure_range_simple", "CoxeterSystem.submonoid_closure_range_simple", "CoxeterSystem.wordProd_append", "CoxeterSystem.wordProd_braidWord_eq", "CoxeterSystem.wordProd_concat", "CoxeterSystem.wordProd_cons", "CoxeterSystem.wordProd_mul_getD_rightInvSeq", "CoxeterSystem.wordProd_nil", "CoxeterSystem.wordProd_reverse", "CoxeterSystem.wordProd_singleton", "CoxeterSystem.wordProd_surjective", "CpltSepUniformSpace.coe_of", "CstarRing.mul_star_self_eq_zero_iff", "CstarRing.mul_star_self_ne_zero_iff", "CstarRing.nnnorm_self_mul_star", "CstarRing.nnnorm_star_mul_self", "CstarRing.norm_coe_unitary", "CstarRing.norm_coe_unitary_mul", "CstarRing.norm_mul_coe_unitary", "CstarRing.norm_mul_mem_unitary", "CstarRing.norm_of_mem_unitary", "CstarRing.norm_one", "CstarRing.norm_self_mul_star", "CstarRing.norm_star_mul_self'", "CstarRing.spectralOrderedRing", "CstarRing.star_mul_self_eq_zero_iff", "CstarRing.star_mul_self_ne_zero_iff", "Ctop.Realizer.ext", "Ctop.Realizer.ext'", "Ctop.Realizer.isClosed_iff", "Ctop.Realizer.isOpen", "Ctop.Realizer.mem_nhds", "Ctop.Realizer.nhds_F", "Ctop.Realizer.ofEquiv_F", "Ctop.Realizer.ofEquiv_\u03c3", "Ctop.mem_nhds_toTopsp", "Cube.insertAt_boundary", "Cubic.C_mul_prod_X_sub_C_eq", "Cubic.a_of_eq", "Cubic.b_eq_three_roots", "Cubic.b_of_eq", "Cubic.c_eq_three_roots", "Cubic.card_roots_le", "Cubic.card_roots_of_disc_ne_zero", "Cubic.coeff_eq_b", "Cubic.coeff_eq_c", "Cubic.coeff_eq_zero", "Cubic.coeffs", "Cubic.d_eq_three_roots", "Cubic.degree_of_a_eq_zero'", "Cubic.degree_of_a_ne_zero'", "Cubic.degree_of_b_ne_zero", "Cubic.degree_of_c_eq_zero'", "Cubic.degree_of_c_ne_zero", "Cubic.degree_of_c_ne_zero'", "Cubic.degree_of_d_eq_zero", "Cubic.degree_of_d_ne_zero", "Cubic.degree_of_d_ne_zero'", "Cubic.degree_of_zero", "Cubic.disc_eq_prod_three_roots", "Cubic.disc_ne_zero_iff_roots_ne", "Cubic.disc_ne_zero_iff_roots_nodup", "Cubic.eq_prod_three_roots", "Cubic.eq_sum_three_roots", "Cubic.leadingCoeff_of_a_ne_zero'", "Cubic.leadingCoeff_of_b_ne_zero'", "Cubic.leadingCoeff_of_c_eq_zero", "Cubic.leadingCoeff_of_c_ne_zero", "Cubic.map_roots", "Cubic.map_toPoly", "Cubic.mem_roots_iff", "Cubic.monic_of_a_eq_one", "Cubic.monic_of_b_eq_one", "Cubic.monic_of_b_eq_one'", "Cubic.monic_of_c_eq_one", "Cubic.monic_of_c_eq_one'", "Cubic.monic_of_d_eq_one", "Cubic.monic_of_d_eq_one'", "Cubic.natDegree_of_a_eq_zero", "Cubic.natDegree_of_a_ne_zero", "Cubic.natDegree_of_b_eq_zero", "Cubic.natDegree_of_b_eq_zero'", "Cubic.natDegree_of_b_ne_zero", "Cubic.natDegree_of_b_ne_zero'", "Cubic.natDegree_of_c_ne_zero'", "Cubic.natDegree_of_zero", "Cubic.ne_zero", "Cubic.ne_zero_of_a_ne_zero", "Cubic.ne_zero_of_b_ne_zero", "Cubic.of_a_eq_zero", "Cubic.of_a_eq_zero'", "Cubic.of_b_eq_zero", "Cubic.of_b_eq_zero'", "Cubic.of_c_eq_zero", "Cubic.of_d_eq_zero", "Cubic.prod_X_sub_C_eq", "Cubic.splits_iff_card_roots", "Cubic.splits_iff_roots_eq_three", "Cubic.toPoly_injective", "Cubic.zero", "CuspForm.coe_add", "CuspForm.coe_sub", "CuspForm.ext", "CuspForm.neg_apply", "CuspForm.smul_apply", "CuspForm.toFun_eq_coe", "CuspForm.toSlashInvariantForm_coe", "Cycle.Chain.eq_nil_of_irrefl", "Cycle.Chain.imp", "Cycle.Chain.nil", "Cycle.Nodup.nontrivial_iff", "Cycle.Subsingleton.congr", "Cycle.Subsingleton.nodup", "Cycle.card_toMultiset", "Cycle.chain_coe_cons", "Cycle.chain_iff_pairwise", "Cycle.chain_map", "Cycle.chain_mono", "Cycle.chain_ne_nil", "Cycle.chain_of_pairwise", "Cycle.chain_range_succ", "Cycle.chain_singleton", "Cycle.coe_cons_eq_coe_append", "Cycle.coe_eq_coe", "Cycle.coe_nil", "Cycle.coe_toMultiset", "Cycle.empty_eq", "Cycle.forall_eq_of_chain", "Cycle.formPerm_apply_mem_eq_next", "Cycle.formPerm_coe", "Cycle.formPerm_eq_formPerm_iff", "Cycle.formPerm_eq_self_of_not_mem", "Cycle.formPerm_reverse", "Cycle.formPerm_subsingleton", "Cycle.induction_on", "Cycle.isCycle_formPerm", "Cycle.length_coe", "Cycle.length_nontrivial", "Cycle.length_reverse", "Cycle.length_subsingleton_iff", "Cycle.lists_coe", "Cycle.lists_nil", "Cycle.map_coe", "Cycle.map_eq_nil", "Cycle.map_nil", "Cycle.mem_coe_iff", "Cycle.mem_lists_iff_coe_eq", "Cycle.mem_map", "Cycle.mk_eq_coe", "Cycle.next_mem", "Cycle.next_prev", "Cycle.next_reverse_eq_prev", "Cycle.next_reverse_eq_prev'", "Cycle.nil_toMultiset", "Cycle.nodup_coe_iff", "Cycle.nodup_nil", "Cycle.nontrivial_coe_nodup_iff", "Cycle.nontrivial_reverse_iff", "Cycle.not_mem_nil", "Cycle.prev_mem", "Cycle.prev_next", "Cycle.reverse_coe", "Cycle.reverse_nil", "Cycle.subsingleton_nil", "Cycle.subsingleton_reverse_iff", "Cycle.support_formPerm", "Cycle.toFinset_eq_nil", "Cycle.toFinset_toMultiset", "Cycle.toMultiset_eq_nil", "CyclotomicRing.eq_adjoin_primitive_root", "DFA.evalFrom_append_singleton", "DFA.evalFrom_nil", "DFA.evalFrom_of_append", "DFA.evalFrom_of_pow", "DFA.evalFrom_split", "DFA.eval_nil", "DFA.eval_singleton", "DFA.mem_accepts", "DFA.pumping_lemma", "DFA.toNFA_correct", "DFA.toNFA_evalFrom_match", "DFinsupp.Lex.acc_of_single", "DFinsupp.Lex.acc_of_single_erase", "DFinsupp.Lex.acc_single", "DFinsupp.Lex.acc_zero", "DFinsupp.Lex.wellFounded_of_finite", "DFinsupp.addHom_ext", "DFinsupp.addHom_ext'", "DFinsupp.add_apply", "DFinsupp.add_closure_iUnion_range_single", "DFinsupp.add_eq_zero_iff", "DFinsupp.bot_eq_zero", "DFinsupp.card_Icc", "DFinsupp.card_Ico", "DFinsupp.card_Iic", "DFinsupp.card_Iio", "DFinsupp.card_Ioc", "DFinsupp.card_Ioo", "DFinsupp.card_pi", "DFinsupp.card_uIcc", "DFinsupp.coe_finset_sum", "DFinsupp.coe_inf", "DFinsupp.coe_lt_coe", "DFinsupp.coe_mk'", "DFinsupp.coe_mono", "DFinsupp.coe_neLocus", "DFinsupp.coe_neg", "DFinsupp.coe_orderEmbeddingToFun", "DFinsupp.coe_piecewise", "DFinsupp.coe_smul", "DFinsupp.coe_strictMono", "DFinsupp.coe_zero", "DFinsupp.comapDomain'_add", "DFinsupp.comapDomain'_apply", "DFinsupp.comapDomain'_single", "DFinsupp.comapDomain'_smul", "DFinsupp.comapDomain'_zero", "DFinsupp.comapDomain_single", "DFinsupp.comapDomain_smul", "DFinsupp.comapDomain_zero", "DFinsupp.comp_liftAddHom", "DFinsupp.coprodMap_apply_single", "DFinsupp.disjoint_iff", "DFinsupp.equivFunOnFintype_single", "DFinsupp.equivFunOnFintype_symm_coe", "DFinsupp.equivFunOnFintype_symm_single", "DFinsupp.equivProdDFinsupp_add", "DFinsupp.erase_add_single", "DFinsupp.erase_def", "DFinsupp.erase_eq_sub_single", "DFinsupp.erase_neg", "DFinsupp.erase_same", "DFinsupp.erase_single", "DFinsupp.erase_single_ne", "DFinsupp.erase_single_same", "DFinsupp.erase_sub", "DFinsupp.erase_zero", "DFinsupp.ext", "DFinsupp.extendWith_single_zero", "DFinsupp.extendWith_some", "DFinsupp.extendWith_zero", "DFinsupp.filter_apply_neg", "DFinsupp.filter_apply_pos", "DFinsupp.filter_def", "DFinsupp.filter_ne_eq_erase", "DFinsupp.filter_ne_eq_erase'", "DFinsupp.filter_pos_add_filter_neg", "DFinsupp.filter_single", "DFinsupp.filter_single_pos", "DFinsupp.filter_smul", "DFinsupp.filter_sub", "DFinsupp.filter_zero", "DFinsupp.induction", "DFinsupp.inf_apply", "DFinsupp.infinite_of_exists_right", "DFinsupp.inner_sum", "DFinsupp.le_def", "DFinsupp.le_iff'", "DFinsupp.lex_def", "DFinsupp.lex_fibration", "DFinsupp.lex_lt_of_lt", "DFinsupp.lex_lt_of_lt_of_preorder", "DFinsupp.lhom_ext", "DFinsupp.lhom_ext'", "DFinsupp.liftAddHom_apply_single", "DFinsupp.liftAddHom_comp_single", "DFinsupp.lmk_apply", "DFinsupp.lsingle_apply", "DFinsupp.lsum_single", "DFinsupp.lt_def", "DFinsupp.mapRange.addEquiv_refl", "DFinsupp.mapRange.addEquiv_trans", "DFinsupp.mapRange.addMonoidHom_comp", "DFinsupp.mapRange.addMonoidHom_id", "DFinsupp.mapRange.linearEquiv_symm", "DFinsupp.mapRange.linearMap_comp", "DFinsupp.mapRange.linearMap_id", "DFinsupp.mapRange_add", "DFinsupp.mapRange_apply", "DFinsupp.mapRange_comp", "DFinsupp.mapRange_def", "DFinsupp.mapRange_id", "DFinsupp.mapRange_neLocus_eq", "DFinsupp.mapRange_single", "DFinsupp.mapRange_smul", "DFinsupp.mapRange_zero", "DFinsupp.mem_neLocus", "DFinsupp.mem_pi", "DFinsupp.mem_rangeIcc_apply_iff", "DFinsupp.mem_support_iff", "DFinsupp.mem_support_toFun", "DFinsupp.mk_add", "DFinsupp.mk_apply", "DFinsupp.mk_injective", "DFinsupp.mk_neg", "DFinsupp.mk_of_mem", "DFinsupp.mk_of_not_mem", "DFinsupp.mk_smul", "DFinsupp.mk_sub", "DFinsupp.mk_zero", "DFinsupp.neLocus_add_left", "DFinsupp.neLocus_add_right", "DFinsupp.neLocus_comm", "DFinsupp.neLocus_eq_empty", "DFinsupp.neLocus_eq_support_sub", "DFinsupp.neLocus_neg", "DFinsupp.neLocus_self_add_right", "DFinsupp.neLocus_self_sub_left", "DFinsupp.neLocus_self_sub_right", "DFinsupp.neLocus_sub_left", "DFinsupp.neLocus_sub_right", "DFinsupp.neLocus_zero_left", "DFinsupp.neLocus_zero_right", "DFinsupp.ne_iff", "DFinsupp.nonempty_neLocus_iff", "DFinsupp.not_mem_neLocus", "DFinsupp.not_mem_support_iff", "DFinsupp.nsmul_apply", "DFinsupp.piecewise_apply", "DFinsupp.piecewise_single_erase", "DFinsupp.prod_add_index", "DFinsupp.prod_comm", "DFinsupp.prod_eq_one", "DFinsupp.prod_eq_prod_fintype", "DFinsupp.prod_eq_zero_iff", "DFinsupp.prod_finset_sum_index", "DFinsupp.prod_mapRange_index", "DFinsupp.prod_ne_zero_iff", "DFinsupp.prod_neg_index", "DFinsupp.prod_one", "DFinsupp.prod_single_index", "DFinsupp.prod_subtypeDomain_index", "DFinsupp.prod_zero_index", "DFinsupp.rangeIcc_apply", "DFinsupp.sigmaCurry_add", "DFinsupp.sigmaCurry_apply", "DFinsupp.sigmaCurry_single", "DFinsupp.sigmaCurry_smul", "DFinsupp.sigmaUncurry_add", "DFinsupp.sigmaUncurry_apply", "DFinsupp.sigmaUncurry_single", "DFinsupp.sigmaUncurry_smul", "DFinsupp.sigmaUncurry_zero", "DFinsupp.single_add", "DFinsupp.single_add_erase", "DFinsupp.single_apply", "DFinsupp.single_eq_of_ne", "DFinsupp.single_eq_of_sigma_eq", "DFinsupp.single_eq_pi_single", "DFinsupp.single_eq_same", "DFinsupp.single_eq_single_iff", "DFinsupp.single_eq_zero", "DFinsupp.single_injective", "DFinsupp.single_le_iff", "DFinsupp.single_left_injective", "DFinsupp.single_smul", "DFinsupp.single_sub", "DFinsupp.single_tsub", "DFinsupp.single_zero", "DFinsupp.smul_apply", "DFinsupp.smul_sum", "DFinsupp.subset_mapRange_neLocus", "DFinsupp.subset_support_tsub", "DFinsupp.subtypeDomain_def", "DFinsupp.subtypeDomain_finsupp_sum", "DFinsupp.subtypeDomain_smul", "DFinsupp.subtypeDomain_sub", "DFinsupp.subtypeDomain_sum", "DFinsupp.sumAddHom_add", "DFinsupp.sumAddHom_apply", "DFinsupp.sumAddHom_comm", "DFinsupp.sumAddHom_single", "DFinsupp.sumAddHom_singleAddHom", "DFinsupp.sumAddHom_zero", "DFinsupp.sum_inner", "DFinsupp.sum_single", "DFinsupp.sum_sub_index", "DFinsupp.sup_apply", "DFinsupp.support_add", "DFinsupp.support_eq_empty", "DFinsupp.support_erase", "DFinsupp.support_inf", "DFinsupp.support_inf_union_support_sup", "DFinsupp.support_mapRange", "DFinsupp.support_mk'_subset", "DFinsupp.support_mk_subset", "DFinsupp.support_monotone", "DFinsupp.support_rangeIcc_subset", "DFinsupp.support_single_ne_zero", "DFinsupp.support_single_subset", "DFinsupp.support_smul", "DFinsupp.support_subset_iff", "DFinsupp.support_sum", "DFinsupp.support_sup", "DFinsupp.support_sup_union_support_inf", "DFinsupp.support_tsub", "DFinsupp.support_update", "DFinsupp.support_update_ne_zero", "DFinsupp.support_zipWith", "DFinsupp.toFinsupp_add", "DFinsupp.toFinsupp_coe", "DFinsupp.toFinsupp_neg", "DFinsupp.toFinsupp_single", "DFinsupp.toFinsupp_sub", "DFinsupp.toFinsupp_support", "DFinsupp.toFinsupp_toDFinsupp", "DFinsupp.toFinsupp_zero", "DFinsupp.toFun_eq_coe", "DFinsupp.toLex_monotone", "DFinsupp.toMultiset_inf", "DFinsupp.toMultiset_inj", "DFinsupp.toMultiset_injective", "DFinsupp.toMultiset_single", "DFinsupp.toMultiset_sup", "DFinsupp.tsub_apply", "DFinsupp.update_eq_erase", "DFinsupp.update_eq_erase_add_single", "DFinsupp.update_eq_single_add_erase", "DFinsupp.update_eq_sub_add_single", "DFinsupp.update_self", "DFinsupp.wellFoundedLT", "DFinsupp.zipWith_def", "DFinsupp.zipWith_neLocus_eq_left", "DFinsupp.zipWith_neLocus_eq_right", "DFinsupp.zipWith_single_single", "DFinsupp.zsmul_apply", "DFunLike.coe_injective", "DFunLike.congr", "DFunLike.congr_arg", "DFunLike.congr_fun", "DFunLike.exists_ne", "DFunLike.ext", "DFunLike.ext'_iff", "DFunLike.ext_iff", "DFunLike.finite", "DFunLike.ne_iff", "DFunLike.subsingleton_cod", "DMatrix.ext", "DMatrix.ext_iff", "DMatrix.map_add", "DMatrix.map_apply", "DMatrix.map_map", "DMatrix.map_sub", "DMatrix.map_zero", "DMatrix.neg_apply", "DMatrix.sub_apply", "DMatrix.zero_apply", "Decidable.List.Lex.ne_iff", "Decidable.List.eq_or_ne_mem_of_mem", "Decidable.Partrec.const'", "Decidable.and_forall_ne", "Decidable.em", "Decidable.eq_iff_le_not_lt", "Decidable.eq_or_lt_of_le", "Decidable.eq_or_ne", "Decidable.exists_ne", "Decidable.forall_or_left", "Decidable.forall_or_right", "Decidable.le_iff_eq_or_lt", "Decidable.le_iff_lt_or_eq", "Decidable.lt_or_eq_of_le", "Decidable.mul_lt_mul''", "Decidable.ne_or_eq", "Decidable.not_forall\u2082", "DedekindDomain.FiniteAdeleRing.ext", "DedekindDomain.FiniteIntegralAdeles.Coe.algHom_apply", "DedekindDomain.FiniteIntegralAdeles.coe_apply", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.add", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.algebraMap'", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.mul", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.neg", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.one", "DedekindDomain.ProdAdicCompletions.IsFiniteAdele.zero", "DedekindDomain.ProdAdicCompletions.algebraMap_apply'", "DedekindDomain.ProdAdicCompletions.isFiniteAdele_iff", "DenomsClearable.add", "Dense.Iio_eq_biUnion", "Dense.Ioi_eq_biUnion", "Dense.biUnion_uniformity_ball", "Dense.borel_eq_generateFrom_Ico_mem", "Dense.borel_eq_generateFrom_Ico_mem_aux", "Dense.borel_eq_generateFrom_Ioc_mem_aux", "Dense.denseEmbedding_val", "Dense.denseRange_val", "Dense.diff_finset", "Dense.eq_of_inner_left", "Dense.eq_of_sub_mem_orthogonal", "Dense.eq_zero_of_inner_left", "Dense.eq_zero_of_inner_right", "Dense.eq_zero_of_mem_orthogonal", "Dense.exists_between", "Dense.exists_countable_dense_subset", "Dense.exists_countable_dense_subset_bot_top", "Dense.exists_countable_dense_subset_no_bot_top", "Dense.exists_dist_lt", "Dense.exists_ge", "Dense.exists_ge'", "Dense.exists_gt", "Dense.exists_le", "Dense.exists_le'", "Dense.exists_mem_open", "Dense.inter_nhds_nonempty", "Dense.inter_of_G\u03b4", "Dense.inter_of_isOpen_left", "Dense.inter_of_isOpen_right", "Dense.interior_compl", "Dense.isSeparable_iff", "Dense.mono", "Dense.nonempty", "Dense.open_subset_closure_inter", "Dense.orderDual", "Dense.smul", "Dense.topology_eq_generateFrom", "DenseEmbedding.inj_iff", "DenseEmbedding.mk'", "DenseEmbedding.separableSpace", "DenseEmbedding.subtype", "DenseEmbedding.to_embedding", "DenseInducing.closure_image_mem_nhds", "DenseInducing.continuous", "DenseInducing.continuousAt_extend", "DenseInducing.continuous_extend", "DenseInducing.extend_Z_bilin", "DenseInducing.extend_Z_bilin_aux", "DenseInducing.extend_Z_bilin_key", "DenseInducing.extend_eq", "DenseInducing.extend_eq'", "DenseInducing.extend_eq_at", "DenseInducing.extend_eq_at'", "DenseInducing.extend_unique", "DenseInducing.extend_unique_at", "DenseInducing.interior_compact_eq_empty", "DenseInducing.mk'", "DenseInducing.nhdsWithin_neBot", "DenseInducing.nhds_eq_comap", "DenseInducing.prod", "DenseInducing.tendsto_comap_nhds_nhds", "DenseRange.closure_range", "DenseRange.dense_of_mapsTo", "DenseRange.exists_mem_open", "DenseRange.iUnion_uniformity_ball", "DenseRange.induction_on", "DenseRange.induction_on\u2083", "DenseRange.nonempty", "DenseRange.nonempty_iff", "DenseRange.preconnectedSpace", "DenseRange.prod_map", "DenseRange.separableSpace", "DenseRange.subset_closure_image_preimage_of_isOpen", "DenseRange.topologicalClosure_map_subgroup", "DenseRange.topologicalClosure_map_submodule", "Denumerable.decode_isSome", "Denumerable.denumerable_list_aux", "Denumerable.list_ofNat_succ", "Denumerable.list_ofNat_zero", "Denumerable.lower_raise", "Denumerable.lower_raise'", "Denumerable.ofEquiv_ofNat", "Denumerable.ofNat_encode", "Denumerable.ofNat_of_decode", "Denumerable.prod_nat_ofNat", "Denumerable.prod_ofNat_val", "Denumerable.raise_chain", "Denumerable.raise_lower", "Denumerable.raise_lower'", "Denumerable.sigma_ofNat_val", "Derivation.add_apply", "Derivation.coeFn_coe", "Derivation.coe_add_linearMap", "Derivation.coe_comp", "Derivation.coe_injective", "Derivation.coe_mk'", "Derivation.coe_neg_linearMap", "Derivation.coe_smul", "Derivation.coe_smul_linearMap", "Derivation.coe_sub_linearMap", "Derivation.coe_to_linearMap_comp", "Derivation.coe_zero", "Derivation.coe_zero_linearMap", "Derivation.commutator_apply", "Derivation.compAEval_eq", "Derivation.congr_fun", "Derivation.eqOn_adjoin", "Derivation.evalAt_apply", "Derivation.ext", "Derivation.leibniz", "Derivation.leibniz_inv", "Derivation.leibniz_invOf", "Derivation.leibniz_of_mul_eq_one", "Derivation.leibniz_pow", "Derivation.liftKaehlerDifferential_apply", "Derivation.liftKaehlerDifferential_comp", "Derivation.liftKaehlerDifferential_unique", "Derivation.map_add", "Derivation.map_aeval", "Derivation.map_algebraMap", "Derivation.map_intCast", "Derivation.map_natCast", "Derivation.map_neg", "Derivation.map_one_eq_zero", "Derivation.map_smul", "Derivation.map_smul_of_tower", "Derivation.map_zero", "Derivation.mk_coe", "Derivation.smul_apply", "Derivation.tensorProductTo_mul", "Derivation.toFun_eq_coe", "Derivation.zero_apply", "DerivedCategory.HomologySequence.comp_\u03b4", "DerivedCategory.HomologySequence.epi_homologyMap_mor\u2081_iff", "DerivedCategory.HomologySequence.exact\u2081", "DerivedCategory.HomologySequence.exact\u2082", "DerivedCategory.HomologySequence.exact\u2083", "DerivedCategory.HomologySequence.mono_homologyMap_mor\u2081_iff", "DerivedCategory.HomologySequence.mono_homologyMap_mor\u2082_iff", "DerivedCategory.HomologySequence.\u03b4_comp", "DerivedCategory.mem_distTriang_iff", "DiffContOnCl.ball_subset_image_closedBall", "DiffContOnCl.comp", "DiffContOnCl.const_smul", "DiffContOnCl.continuousOn_ball", "DiffContOnCl.hasFPowerSeriesOnBall", "DiffContOnCl.inv", "DiffContOnCl.mk_ball", "DiffContOnCl.mono", "DiffContOnCl.smul", "DiffContOnCl.smul_const", "DiffContOnCl.sub", "DiffContOnCl.sub_const", "DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smul", "Diffeomorph.apply_symm_apply", "Diffeomorph.coeFn_injective", "Diffeomorph.coe_prodComm", "Diffeomorph.coe_refl", "Diffeomorph.coe_trans", "Diffeomorph.contDiff", "Diffeomorph.contMDiff", "Diffeomorph.contMDiffAt", "Diffeomorph.contMDiffAt_comp_diffeomorph_iff", "Diffeomorph.contMDiffAt_diffeomorph_comp_iff", "Diffeomorph.contMDiffAt_transDiffeomorph_left", "Diffeomorph.contMDiffAt_transDiffeomorph_right", "Diffeomorph.contMDiffOn_comp_diffeomorph_iff", "Diffeomorph.contMDiffOn_diffeomorph_comp_iff", "Diffeomorph.contMDiffOn_transDiffeomorph_right", "Diffeomorph.contMDiffWithinAt", "Diffeomorph.contMDiffWithinAt_comp_diffeomorph_iff", "Diffeomorph.contMDiffWithinAt_transDiffeomorph_right", "Diffeomorph.contMDiff_comp_diffeomorph_iff", "Diffeomorph.contMDiff_transDiffeomorph_right", "Diffeomorph.ext", "Diffeomorph.isLocalDiffeomorph", "Diffeomorph.mdifferentiableOn", "Diffeomorph.prodComm_symm", "Diffeomorph.prodCongr_symm", "Diffeomorph.range_comp", "Diffeomorph.refl_toEquiv", "Diffeomorph.self_trans_symm", "Diffeomorph.smooth", "Diffeomorph.smooth_transDiffeomorph_left", "Diffeomorph.symm_apply_apply", "Diffeomorph.symm_image_eq_preimage", "Diffeomorph.symm_image_image", "Diffeomorph.symm_refl", "Diffeomorph.symm_toEquiv", "Diffeomorph.symm_toHomeomorph", "Diffeomorph.symm_trans'", "Diffeomorph.symm_trans_self", "Diffeomorph.toEquiv_coe_symm", "Diffeomorph.toEquiv_inj", "Diffeomorph.toPartialHomeomorph_mdifferentiable", "Diffeomorph.trans_refl", "Diffeomorph.uniqueDiffOn_image", "Diffeomorph.uniqueDiffOn_preimage", "Diffeomorph.uniqueMDiffOn_preimage", "Differentiable.add", "Differentiable.analyticAt", "Differentiable.apply_eq_apply_of_bounded", "Differentiable.apply_eq_of_tendsto_cocompact", "Differentiable.arctan", "Differentiable.arsinh", "Differentiable.ccosh", "Differentiable.clm_apply", "Differentiable.clm_comp", "Differentiable.clog", "Differentiable.comp", "Differentiable.comp'", "Differentiable.comp_diffContOnCl", "Differentiable.comp_differentiableOn", "Differentiable.const_cpow", "Differentiable.const_smul", "Differentiable.const_sub", "Differentiable.contDiff", "Differentiable.continuous", "Differentiable.cos", "Differentiable.csinh", "Differentiable.differentiableAt", "Differentiable.differentiableOn", "Differentiable.dist", "Differentiable.div", "Differentiable.div_const", "Differentiable.eq_const_of_tendsto_cocompact", "Differentiable.exists_const_forall_eq_of_bounded", "Differentiable.exists_eq_const_of_bounded", "Differentiable.exp", "Differentiable.fderiv_norm_rpow", "Differentiable.finset_prod", "Differentiable.fst", "Differentiable.inner", "Differentiable.inv", "Differentiable.inv'", "Differentiable.inverse", "Differentiable.inversion", "Differentiable.log", "Differentiable.mul", "Differentiable.mul_const", "Differentiable.neg", "Differentiable.norm", "Differentiable.norm_sq", "Differentiable.rpow", "Differentiable.sin", "Differentiable.sinh", "Differentiable.smul", "Differentiable.smul_const", "Differentiable.snd", "Differentiable.sqrt", "Differentiable.star", "Differentiable.zpow", "DifferentiableAt.add", "DifferentiableAt.add_const", "DifferentiableAt.arctan", "DifferentiableAt.arsinh", "DifferentiableAt.ccos", "DifferentiableAt.cexp", "DifferentiableAt.clog", "DifferentiableAt.comp", "DifferentiableAt.comp'", "DifferentiableAt.comp_differentiableWithinAt", "DifferentiableAt.conformalAt", "DifferentiableAt.congr_of_eventuallyEq", "DifferentiableAt.const_cpow", "DifferentiableAt.const_mul", "DifferentiableAt.cosh", "DifferentiableAt.cpow", "DifferentiableAt.csinh", "DifferentiableAt.derivWithin", "DifferentiableAt.differentiableWithinAt", "DifferentiableAt.dist", "DifferentiableAt.div", "DifferentiableAt.div_const", "DifferentiableAt.fderivWithin", "DifferentiableAt.fderiv_prod", "DifferentiableAt.finset_prod", "DifferentiableAt.hasDerivAt", "DifferentiableAt.hasFDerivAt", "DifferentiableAt.hasGradientAt", "DifferentiableAt.inner", "DifferentiableAt.inverse", "DifferentiableAt.inversion", "DifferentiableAt.isBigO_sub", "DifferentiableAt.iterate", "DifferentiableAt.lineDeriv_eq_fderiv", "DifferentiableAt.log", "DifferentiableAt.mul", "DifferentiableAt.neg", "DifferentiableAt.norm", "DifferentiableAt.norm_sq", "DifferentiableAt.prod", "DifferentiableAt.restrictScalars", "DifferentiableAt.rpow", "DifferentiableAt.rpow_const", "DifferentiableAt.sinh", "DifferentiableAt.star", "DifferentiableAt.sub", "DifferentiableAt.sum", "DifferentiableAt.zpow", "DifferentiableOn.add", "DifferentiableOn.arsinh", "DifferentiableOn.ccos", "DifferentiableOn.cexp", "DifferentiableOn.clm_comp", "DifferentiableOn.clog", "DifferentiableOn.comp", "DifferentiableOn.comp'", "DifferentiableOn.congr", "DifferentiableOn.const_add", "DifferentiableOn.const_cpow", "DifferentiableOn.const_mul", "DifferentiableOn.continuousOn", "DifferentiableOn.cos", "DifferentiableOn.cpow", "DifferentiableOn.diffContOnCl", "DifferentiableOn.diffContOnCl_ball", "DifferentiableOn.differentiableAt", "DifferentiableOn.dist", "DifferentiableOn.div_const", "DifferentiableOn.finset_prod", "DifferentiableOn.hasDerivAt", "DifferentiableOn.hasFDerivAt", "DifferentiableOn.hasFPowerSeriesOnBall", "DifferentiableOn.hasGradientAt", "DifferentiableOn.inner", "DifferentiableOn.inverse", "DifferentiableOn.iterate", "DifferentiableOn.log", "DifferentiableOn.mono", "DifferentiableOn.mul_const", "DifferentiableOn.neg", "DifferentiableOn.norm", "DifferentiableOn.of_dslope", "DifferentiableOn.pow", "DifferentiableOn.restrictScalars", "DifferentiableOn.rpow", "DifferentiableOn.sin", "DifferentiableOn.smul_const", "DifferentiableOn.sqrt", "DifferentiableOn.star", "DifferentiableOn.sub", "DifferentiableOn.sub_const", "DifferentiableOn.sum", "DifferentiableOn.zpow", "DifferentiableWithinAt.add", "DifferentiableWithinAt.arctan", "DifferentiableWithinAt.arsinh", "DifferentiableWithinAt.ccos", "DifferentiableWithinAt.cexp", "DifferentiableWithinAt.clm_comp", "DifferentiableWithinAt.congr_mono", "DifferentiableWithinAt.congr_of_eventuallyEq", "DifferentiableWithinAt.const_add", "DifferentiableWithinAt.const_mul", "DifferentiableWithinAt.const_smul", "DifferentiableWithinAt.continuousMultilinear_apply_const", "DifferentiableWithinAt.continuousWithinAt", "DifferentiableWithinAt.cosh", "DifferentiableWithinAt.cpow", "DifferentiableWithinAt.csin", "DifferentiableWithinAt.csinh", "DifferentiableWithinAt.differentiableAt", "DifferentiableWithinAt.dist", "DifferentiableWithinAt.div", "DifferentiableWithinAt.div_const", "DifferentiableWithinAt.finset_prod", "DifferentiableWithinAt.fst", "DifferentiableWithinAt.hasDerivWithinAt", "DifferentiableWithinAt.hasFDerivWithinAt", "DifferentiableWithinAt.hasGradientWithinAt", "DifferentiableWithinAt.inner", "DifferentiableWithinAt.inv", "DifferentiableWithinAt.inv'", "DifferentiableWithinAt.inverse", "DifferentiableWithinAt.isBigO_sub", "DifferentiableWithinAt.iterate", "DifferentiableWithinAt.mono", "DifferentiableWithinAt.mul", "DifferentiableWithinAt.mul_const", "DifferentiableWithinAt.norm", "DifferentiableWithinAt.of_dslope", "DifferentiableWithinAt.pow", "DifferentiableWithinAt.prod", "DifferentiableWithinAt.restrictScalars", "DifferentiableWithinAt.rpow", "DifferentiableWithinAt.rpow_const", "DifferentiableWithinAt.sin", "DifferentiableWithinAt.smul_const", "DifferentiableWithinAt.snd", "DifferentiableWithinAt.star", "DifferentiableWithinAt.sub", "DifferentiableWithinAt.sub_const", "DifferentiableWithinAt.sum", "DifferentiableWithinAt.zpow", "DihedralGroup.card", "DihedralGroup.card_commute_odd", "DihedralGroup.card_conjClasses_odd", "DihedralGroup.commProb_cons", "DihedralGroup.commProb_odd", "DihedralGroup.commProb_reciprocal", "DihedralGroup.div_four_lt", "DihedralGroup.div_two_lt", "DihedralGroup.exponent", "DihedralGroup.nat_card", "DihedralGroup.one_def", "DihedralGroup.orderOf_r", "DihedralGroup.orderOf_r_one", "DihedralGroup.orderOf_sr", "DihedralGroup.r_one_pow", "DihedralGroup.r_one_pow_n", "DihedralGroup.reciprocalFactors_even", "DihedralGroup.reciprocalFactors_odd", "DihedralGroup.reciprocalFactors_one", "DihedralGroup.sr_mul_self", "Dilation.antilipschitz", "Dilation.cancel_left", "Dilation.closedEmbedding", "Dilation.coe_comp", "Dilation.coe_id", "Dilation.coe_mkOfNNDistEq", "Dilation.coe_mul", "Dilation.coe_one", "Dilation.comp_apply", "Dilation.comp_continuousOn_iff", "Dilation.comp_continuous_iff", "Dilation.congr_arg", "Dilation.congr_fun", "Dilation.copy_eq_self", "Dilation.diam_image", "Dilation.diam_range", "Dilation.dist_eq", "Dilation.ediam_image", "Dilation.ediam_range", "Dilation.edist_eq", "Dilation.embedding", "Dilation.ext_iff", "Dilation.id_comp", "Dilation.mapsTo_closedBall", "Dilation.mapsTo_sphere", "Dilation.mk_coe", "Dilation.mul_def", "Dilation.nndist_eq", "Dilation.one_def", "Dilation.ratio_comp", "Dilation.ratio_comp'", "Dilation.ratio_id", "Dilation.ratio_mul", "Dilation.ratio_ne_zero", "Dilation.ratio_of_subsingleton", "Dilation.ratio_of_trivial", "Dilation.ratio_one", "Dilation.ratio_pos", "Dilation.ratio_pow", "Dilation.ratio_unique", "Dilation.ratio_unique_of_dist_ne_zero", "Dilation.ratio_unique_of_nndist_ne_zero", "Dilation.tendsto_cobounded", "Dilation.toFun_eq_coe", "Dilation.uniformInducing", "DilationEquiv.apply_symm_apply", "DilationEquiv.coe_inv", "DilationEquiv.coe_one", "DilationEquiv.coe_pow", "DilationEquiv.coe_toEquiv", "DilationEquiv.coe_toHomeomorph", "DilationEquiv.injective", "DilationEquiv.map_cobounded", "DilationEquiv.one_def", "DilationEquiv.ratio_inv", "DilationEquiv.ratio_symm", "DilationEquiv.ratio_toDilation", "DilationEquiv.ratio_trans", "DilationEquiv.refl_symm", "DilationEquiv.refl_trans", "DilationEquiv.smulTorsor_preimage_ball", "DilationEquiv.smulTorsor_ratio", "DilationEquiv.surjective", "DilationEquiv.symm_apply_apply", "DilationEquiv.symm_bijective", "DilationEquiv.symm_symm", "DilationEquiv.symm_trans_self", "DilationEquiv.toHomeomorph_symm", "DilationEquiv.trans_refl", "Dioph.DiophList.forall", "Dioph.add_dioph", "Dioph.const_dioph", "Dioph.diophFn_comp", "Dioph.diophFn_compn", "Dioph.diophFn_iff_pFun", "Dioph.diophFn_vec_comp1", "Dioph.diophPFun_comp1", "Dioph.dioph_comp", "Dioph.dioph_comp2", "Dioph.div_dioph", "Dioph.dom_dioph", "Dioph.eq_dioph", "Dioph.ex1_dioph", "Dioph.ex_dioph", "Dioph.ext", "Dioph.inject_dummies", "Dioph.inject_dummies_lem", "Dioph.le_dioph", "Dioph.lt_dioph", "Dioph.mod_dioph", "Dioph.mul_dioph", "Dioph.pell_dioph", "Dioph.pow_dioph", "Dioph.reindex_diophFn", "Dioph.sub_dioph", "Dioph.union", "Dioph.vec_ex1_dioph", "Dioph.xn_dioph", "DirSupClosed.inter", "DirSupInacc.union", "DirectSum.Decomposition.decompose'_eq", "DirectSum.Decomposition.inductionOn", "DirectSum.Gmodule.mul_smul'", "DirectSum.Gmodule.one_smul'", "DirectSum.Gmodule.smulAddMonoidHom_apply_of_of", "DirectSum.IsInternal.addSubgroup_independent", "DirectSum.IsInternal.addSubmonoid_iSup_eq_top", "DirectSum.IsInternal.addSubmonoid_independent", "DirectSum.IsInternal.collectedBasis_coe", "DirectSum.IsInternal.collectedBasis_mem", "DirectSum.IsInternal.collectedBasis_repr_of_mem", "DirectSum.IsInternal.collectedBasis_repr_of_mem_ne", "DirectSum.IsInternal.collectedOrthonormalBasis_mem", "DirectSum.IsInternal.isCompl", "DirectSum.IsInternal.isometryL2OfOrthogonalFamily_symm_apply", "DirectSum.IsInternal.ofBijective_coeLinearMap_of_mem_ne", "DirectSum.IsInternal.ofBijective_coeLinearMap_of_ne", "DirectSum.IsInternal.ofBijective_coeLinearMap_same", "DirectSum.IsInternal.submodule_iSup_eq_top", "DirectSum.IsInternal.submodule_independent", "DirectSum.IsInternal.subordinateOrthonormalBasis_subordinate", "DirectSum.addHom_ext", "DirectSum.add_apply", "DirectSum.algHom_ext'", "DirectSum.algebraMap_apply", "DirectSum.algebraMap_toAddMonoid_hom", "DirectSum.apply_eq_component", "DirectSum.coeAddMonoidHom_of", "DirectSum.coeAlgHom_of", "DirectSum.coeLinearMap_of", "DirectSum.coeRingHom_of", "DirectSum.coe_decompose_mul_add_of_left_mem", "DirectSum.coe_decompose_mul_add_of_right_mem", "DirectSum.coe_decompose_mul_of_left_mem", "DirectSum.coe_decompose_mul_of_left_mem_of_le", "DirectSum.coe_decompose_mul_of_left_mem_of_not_le", "DirectSum.coe_decompose_mul_of_right_mem", "DirectSum.coe_decompose_mul_of_right_mem_of_le", "DirectSum.coe_decompose_mul_of_right_mem_of_not_le", "DirectSum.coe_mul_apply", "DirectSum.coe_mul_apply_eq_dfinsupp_sum", "DirectSum.coe_mul_of_apply", "DirectSum.coe_mul_of_apply_aux", "DirectSum.coe_mul_of_apply_of_le", "DirectSum.coe_mul_of_apply_of_not_le", "DirectSum.coe_of_apply", "DirectSum.coe_of_mul_apply", "DirectSum.coe_of_mul_apply_add", "DirectSum.coe_of_mul_apply_aux", "DirectSum.coe_of_mul_apply_of_le", "DirectSum.coe_of_mul_apply_of_not_le", "DirectSum.coe_toModule_eq_coe_toAddMonoid", "DirectSum.component.lof_self", "DirectSum.component.of", "DirectSum.decomposeAddEquiv_apply", "DirectSum.decomposeAddEquiv_symm_apply", "DirectSum.decomposeAlgEquiv_apply", "DirectSum.decomposeAlgEquiv_symm_apply", "DirectSum.decomposeLinearEquiv_apply", "DirectSum.decompose_algebraMap", "DirectSum.decompose_coe", "DirectSum.decompose_lhom_ext", "DirectSum.decompose_mul", "DirectSum.decompose_mul_add_left", "DirectSum.decompose_mul_add_right", "DirectSum.decompose_of_mem_ne", "DirectSum.decompose_of_mem_same", "DirectSum.decompose_one", "DirectSum.decompose_smul", "DirectSum.decompose_sub", "DirectSum.decompose_sum", "DirectSum.decompose_symm_add", "DirectSum.decompose_symm_algebraMap", "DirectSum.decompose_symm_mul", "DirectSum.decompose_symm_neg", "DirectSum.decompose_symm_of", "DirectSum.decompose_symm_sub", "DirectSum.decompose_symm_sum", "DirectSum.decompose_symm_zero", "DirectSum.degree_eq_of_mem_mem", "DirectSum.ext", "DirectSum.ext_iff", "DirectSum.fromAddMonoid_of", "DirectSum.fromAddMonoid_of_apply", "DirectSum.induction_on", "DirectSum.isInternal_biSup_submodule_of_independent", "DirectSum.isInternal_ne_bot_iff", "DirectSum.isInternal_submodule_iff_independent_and_iSup_eq_top", "DirectSum.isInternal_submodule_iff_isCompl", "DirectSum.lieAlgebra_ext", "DirectSum.lie_module_bracket_apply", "DirectSum.lie_of", "DirectSum.lie_of_of_ne", "DirectSum.linearEquivFunOnFintype_lof", "DirectSum.linearEquivFunOnFintype_symm_coe", "DirectSum.linearEquivFunOnFintype_symm_single", "DirectSum.list_prod_ofFn_of_eq_dProd", "DirectSum.lof_apply", "DirectSum.lof_eq_of", "DirectSum.mk_injective", "DirectSum.mk_smul", "DirectSum.mulHom_of_of", "DirectSum.mul_assoc", "DirectSum.mul_comm", "DirectSum.mul_eq_dfinsupp_sum", "DirectSum.mul_eq_sum_support_ghas_mul", "DirectSum.mul_one", "DirectSum.ofList_dProd", "DirectSum.ofPow", "DirectSum.of_eq_of_gradedMonoid_eq", "DirectSum.of_eq_of_ne", "DirectSum.of_eq_same", "DirectSum.of_intCast", "DirectSum.of_mul_of", "DirectSum.of_natCast", "DirectSum.of_smul", "DirectSum.of_zero_ofNat", "DirectSum.of_zero_pow", "DirectSum.of_zero_smul", "DirectSum.one_def", "DirectSum.one_mul", "DirectSum.ringHom_ext", "DirectSum.sigmaCurry_apply", "DirectSum.sigmaLcurry_apply", "DirectSum.sigmaLuncurry_apply", "DirectSum.single_eq_lof", "DirectSum.smul_apply", "DirectSum.sum_support_decompose", "DirectSum.sum_univ_of", "DirectSum.support_of", "DirectSum.support_smul", "DirectSum.toAddMonoid.unique", "DirectSum.toAddMonoidAlgebra_add", "DirectSum.toAddMonoidAlgebra_mul", "DirectSum.toAddMonoidAlgebra_of", "DirectSum.toAddMonoidAlgebra_toDirectSum", "DirectSum.toAddMonoidAlgebra_zero", "DirectSum.toAddMonoid_of", "DirectSum.toModule_lof", "DirectSum.toSemiring_coe_addMonoidHom", "DirectSum.toSemiring_of", "DirectSum.zero_apply", "Directed.convex_iUnion", "Directed.disjoint_iSup_left", "Directed.disjoint_iSup_right", "Directed.exists_mem_subset_of_finset_subset_biUnion", "Directed.extend_bot", "Directed.finite_le", "Directed.finite_set_le", "Directed.iSup_inf_eq", "Directed.iSup_le", "Directed.inf_iSup_eq", "Directed.le_sequence", "Directed.mono_comp", "Directed.rel_sequence", "Directed.sequence_anti", "Directed.sequence_le", "Directed.sequence_mono", "Directed.sequence_mono_nat", "Directed.strictConvex_iUnion", "DirectedOn.convex_sUnion", "DirectedOn.disjoint_sSup_left", "DirectedOn.disjoint_sSup_right", "DirectedOn.exists_mem_subset_of_finset_subset_biUnion", "DirectedOn.inf_sSup_eq", "DirectedOn.insert", "DirectedOn.is_bot_of_is_min", "DirectedOn.is_top_of_is_max", "DirectedOn.le_sSup", "DirectedOn.sSup_inf_eq", "DirectedOn.sSup_le", "DirectedOn.strictConvex_sUnion", "DirectedSystem.map_map", "DirectedSystem.map_self", "DirichletCharacter.Even.eval_neg", "DirichletCharacter.Even.toUnitHom_eval_neg_one", "DirichletCharacter.FactorsThrough.dvd", "DirichletCharacter.FactorsThrough.existsUnique", "DirichletCharacter.LSeries.mul_mu_eq_one", "DirichletCharacter.LSeriesSummable_iff", "DirichletCharacter.LSeriesSummable_mul", "DirichletCharacter.LSeriesSummable_twist_vonMangoldt", "DirichletCharacter.LSeries_ne_zero_of_one_lt_re", "DirichletCharacter.LSeries_twist_vonMangoldt_eq", "DirichletCharacter.Odd.eval_neg", "DirichletCharacter.Odd.toUnitHom_eval_neg_one", "DirichletCharacter.absicssaOfAbsConv_eq_one", "DirichletCharacter.changeLevel_def", "DirichletCharacter.changeLevel_eq_cast_of_dvd", "DirichletCharacter.changeLevel_eq_one_iff", "DirichletCharacter.changeLevel_factorsThrough", "DirichletCharacter.changeLevel_injective", "DirichletCharacter.changeLevel_one", "DirichletCharacter.changeLevel_self", "DirichletCharacter.changeLevel_self_toUnitHom", "DirichletCharacter.changeLevel_toUnitHom", "DirichletCharacter.changeLevel_trans", "DirichletCharacter.conductor_dvd_level", "DirichletCharacter.conductor_eq_zero_iff_level_eq_zero", "DirichletCharacter.conductor_le_conductor_mem_conductorSet", "DirichletCharacter.conductor_mem_conductorSet", "DirichletCharacter.conductor_ne_zero", "DirichletCharacter.conductor_one", "DirichletCharacter.conductor_one_dvd", "DirichletCharacter.convolution_mul_moebius", "DirichletCharacter.convolution_twist_vonMangoldt", "DirichletCharacter.delta_mul", "DirichletCharacter.eq_one_iff_conductor_eq_one", "DirichletCharacter.even_or_odd", "DirichletCharacter.factorsThrough_conductor", "DirichletCharacter.factorsThrough_iff_ker_unitsMap", "DirichletCharacter.factorsThrough_one_iff", "DirichletCharacter.isPrimitive_def", "DirichletCharacter.isPrimitive_one_level_one", "DirichletCharacter.isPritive_one_level_zero", "DirichletCharacter.level_mem_conductorSet", "DirichletCharacter.level_one", "DirichletCharacter.level_one'", "DirichletCharacter.mem_conductorSet_dvd", "DirichletCharacter.mem_conductorSet_iff", "DirichletCharacter.modOne_eq_one", "DirichletCharacter.modZero_eq_delta", "DirichletCharacter.mul_convolution_distrib", "DirichletCharacter.mul_delta", "DirichletCharacter.norm_le_one", "DirichletCharacter.not_LSeriesSummable_at_one", "DirichletCharacter.primitiveCharacter_isPrimitive", "DirichletCharacter.primitiveCharacter_one", "DirichletCharacter.primitive_mul_isPrimitive", "DirichletCharacter.toUnitHom_eq_char'", "DirichletCharacter.toUnitHom_eq_iff", "DirichletCharacter.unit_norm_eq_one", "DiscreteQuotient.LEComap.comp", "DiscreteQuotient.LEComap.mono", "DiscreteQuotient.comap_id", "DiscreteQuotient.comp_finsetClopens", "DiscreteQuotient.eq_of_forall_proj_eq", "DiscreteQuotient.exists_of_compat", "DiscreteQuotient.fiber_subset_ofLE", "DiscreteQuotient.finsetClopens_inj", "DiscreteQuotient.isClopen_preimage", "DiscreteQuotient.leComap_id_iff", "DiscreteQuotient.map_comp", "DiscreteQuotient.map_comp_ofLE", "DiscreteQuotient.map_comp_proj", "DiscreteQuotient.map_id", "DiscreteQuotient.map_proj", "DiscreteQuotient.ofLE_comp_proj", "DiscreteQuotient.ofLE_continuous", "DiscreteQuotient.ofLE_map", "DiscreteQuotient.ofLE_ofLE", "DiscreteQuotient.ofLE_proj", "DiscreteQuotient.ofLE_refl", "DiscreteQuotient.ofLE_refl_apply", "DiscreteQuotient.proj_bot_bijective", "DiscreteQuotient.proj_bot_eq", "DiscreteQuotient.proj_bot_inj", "DiscreteQuotient.proj_surjective", "DiscreteQuotient.refl", "DiscreteQuotient.trans", "DiscreteTopology.of_continuous_injective", "DiscreteTopology.of_forall_le_dist", "DiscreteTopology.of_subset", "DiscreteTopology.preimage_of_continuous_injective", "DiscreteValuationRing.HasUnitMulPowIrreducibleFactorization.of_ufd_of_unique_irreducible", "DiscreteValuationRing.HasUnitMulPowIrreducibleFactorization.toUniqueFactorizationMonoid", "DiscreteValuationRing.HasUnitMulPowIrreducibleFactorization.unique_irreducible", "DiscreteValuationRing.TFAE", "DiscreteValuationRing.addVal_add", "DiscreteValuationRing.addVal_def", "DiscreteValuationRing.addVal_def'", "DiscreteValuationRing.addVal_eq_top_iff", "DiscreteValuationRing.addVal_le_iff_dvd", "DiscreteValuationRing.addVal_one", "DiscreteValuationRing.addVal_uniformizer", "DiscreteValuationRing.addVal_zero", "DiscreteValuationRing.associated_pow_irreducible", "DiscreteValuationRing.aux_pid_of_ufd_of_unique_irreducible", "DiscreteValuationRing.eq_unit_mul_pow_irreducible", "DiscreteValuationRing.exists_irreducible", "DiscreteValuationRing.exists_prime", "DiscreteValuationRing.ideal_eq_span_pow_irreducible", "DiscreteValuationRing.iff_pid_with_one_nonzero_prime", "DiscreteValuationRing.irreducible_iff_uniformizer", "DiscreteValuationRing.irreducible_of_span_eq_maximalIdeal", "DiscreteValuationRing.not_a_field", "DiscreteValuationRing.not_isField", "DiscreteValuationRing.of_ufd_of_unique_irreducible", "DiscreteValuationRing.unit_mul_pow_congr_pow", "DiscreteValuationRing.unit_mul_pow_congr_unit", "Disjoint.aedisjoint", "Disjoint.closure_left", "Disjoint.closure_right", "Disjoint.disjoint_sdiff_right", "Disjoint.disjoint_sup_left_of_disjoint_sup_right", "Disjoint.disjoint_sup_right_of_disjoint_sup_left", "Disjoint.dual", "Disjoint.edgeSet", "Disjoint.eq_bot", "Disjoint.eq_bot_of_le", "Disjoint.exists_cthickenings", "Disjoint.exists_mem_filter_basis", "Disjoint.exists_open_convexes", "Disjoint.exists_thickenings", "Disjoint.exists_uniform_thickening", "Disjoint.forall_ne_finset", "Disjoint.frontier_left", "Disjoint.frontier_right", "Disjoint.image", "Disjoint.inf_left", "Disjoint.inf_left'", "Disjoint.inf_right", "Disjoint.inf_right'", "Disjoint.inter_eq", "Disjoint.inter_left", "Disjoint.inter_left'", "Disjoint.inter_right", "Disjoint.inter_right'", "Disjoint.isCompl_sup_left_of_isCompl_sup_right", "Disjoint.le_of_codisjoint", "Disjoint.le_sdiff_of_le_left", "Disjoint.le_symmDiff_sup_symmDiff_left", "Disjoint.le_symmDiff_sup_symmDiff_right", "Disjoint.left_le_of_le_sup_left", "Disjoint.left_le_of_le_sup_right", "Disjoint.map", "Disjoint.map_orderIso", "Disjoint.mono", "Disjoint.mono_left", "Disjoint.mono_right", "Disjoint.ne", "Disjoint.ne_iff", "Disjoint.of_disjoint_inf_of_le", "Disjoint.of_disjoint_inf_of_le'", "Disjoint.of_image_finset", "Disjoint.of_orderEmbedding", "Disjoint.of_preimage", "Disjoint.sdiff_eq_left", "Disjoint.sdiff_eq_of_sup_eq", "Disjoint.sdiff_unique", "Disjoint.subset_right_of_subset_union", "Disjoint.sup_left", "Disjoint.sup_right", "Disjoint.sup_sdiff_cancel_left", "Disjoint.sup_sdiff_cancel_right", "Disjoint.symm", "Disjoint.symmDiff_eq_sup", "Disjoint.symmDiff_right", "Disjoint.union_right", "Distrib.ext_iff", "DistribLattice.prime_ideal_of_disjoint_filter_ideal", "DistribMulActionHom.coe_fn_coe'", "DistribMulActionHom.coe_toLinearMap", "DistribMulActionHom.coe_zero", "DistribMulActionHom.comp_id", "DistribMulActionHom.congr_fun", "DistribMulActionHom.ext", "DistribMulActionHom.ext_ring", "DistribMulActionHom.ext_ring_iff", "DistribMulActionHom.id_comp", "DistribMulActionHom.map_add", "DistribMulActionHom.map_neg", "DistribMulActionHom.map_smul\u2091", "DistribMulActionHom.map_sub", "DistribMulActionHom.map_zero", "DistribMulActionHom.one_apply", "DistribMulActionHom.toAddMonoidHom_injective", "DistribMulActionHom.zero_apply", "DivInvMonoid.ext", "DivisorChain.card_subset_divisors_le_length_of_chain", "DivisorChain.element_of_chain_eq_pow_second_of_chain", "DivisorChain.eq_pow_second_of_chain_of_has_chain", "DivisorChain.eq_second_of_chain_of_prime_dvd", "DivisorChain.exists_chain_of_prime_pow", "DivisorChain.first_of_chain_isUnit", "DivisorChain.isPrimePow_of_has_chain", "DivisorChain.second_of_chain_is_irreducible", "DomMulAct.coe_smul_addMonoidHom", "DomMulAct.coe_smul_linearMap", "DomMulAct.dist_smul_Lp", "DomMulAct.edist_smul_Lp", "DomMulAct.mem_stabilizer_iff", "DomMulAct.mk_mul", "DomMulAct.mk_one", "DomMulAct.mk_pow", "DomMulAct.mk_smul_addMonoidHom_apply", "DomMulAct.mk_smul_linearMap_apply", "DomMulAct.mk_smul_mulActionHom_apply", "DomMulAct.mk_smul_mulDistribActionHom_apply", "DomMulAct.mk_smul_toLp", "DomMulAct.mk_zpow", "DomMulAct.norm_smul_Lp", "DomMulAct.smul_Lp_add", "DomMulAct.smul_Lp_ae_eq", "DomMulAct.smul_Lp_const", "DomMulAct.smul_Lp_zero", "DomMulAct.smul_apply", "DomMulAct.smul_linearMap_apply", "DomMulAct.smul_monoidHom_apply", "DomMulAct.smul_mulActionHom_apply", "DomMulAct.smul_mulDistribActionHom_apply", "DomMulAct.stabilizer_card", "DomMulAct.symm_mk_inv", "DomMulAct.symm_mk_one", "DomMulAct.symm_mk_zpow", "Doset.bot_rel_eq_leftRel", "Doset.disjoint_out'", "Doset.doset_eq_image2", "Doset.doset_eq_of_mem", "Doset.doset_union_leftCoset", "Doset.doset_union_rightCoset", "Doset.eq", "Doset.eq_of_not_disjoint", "Doset.left_bot_eq_left_quot", "Doset.mem_doset", "Doset.mem_doset_of_not_disjoint", "Doset.mk_eq_of_doset_eq", "Doset.mk_out'_eq_mul", "Doset.out_eq'", "Doset.rel_bot_eq_right_group_rel", "Doset.right_bot_eq_right_quot", "Doset.union_quotToDoset", "DoubleCentralizer.add_snd", "DoubleCentralizer.add_toProd", "DoubleCentralizer.algebraMap_fst", "DoubleCentralizer.algebraMap_snd", "DoubleCentralizer.coe_eq_algebraMap", "DoubleCentralizer.coe_snd", "DoubleCentralizer.ext", "DoubleCentralizer.intCast_fst", "DoubleCentralizer.intCast_snd", "DoubleCentralizer.mul_fst", "DoubleCentralizer.mul_snd", "DoubleCentralizer.natCast_fst", "DoubleCentralizer.natCast_snd", "DoubleCentralizer.neg_snd", "DoubleCentralizer.neg_toProd", "DoubleCentralizer.nnnorm_def'", "DoubleCentralizer.nnnorm_fst", "DoubleCentralizer.nnnorm_snd", "DoubleCentralizer.norm_def'", "DoubleCentralizer.norm_fst", "DoubleCentralizer.norm_fst_eq_snd", "DoubleCentralizer.norm_snd", "DoubleCentralizer.one_snd", "DoubleCentralizer.pow_toProd", "DoubleCentralizer.range_toProd", "DoubleCentralizer.range_toProdMulOpposite", "DoubleCentralizer.smul_snd", "DoubleCentralizer.smul_toProd", "DoubleCentralizer.star_fst", "DoubleCentralizer.sub_fst", "DoubleCentralizer.sub_snd", "DoubleCentralizer.uniformEmbedding_toProdMulOpposite", "DoubleCentralizer.zero_fst", "DoubleCentralizer.zero_snd", "DoubleCentralizer.zero_toProd", "DoubleQuot.coe_liftSupQuotQuotMk\u2090", "DoubleQuot.coe_quotLeftToQuotSup\u2090", "DoubleQuot.coe_quotQuotEquivComm\u2090", "DoubleQuot.coe_quotQuotEquivQuotOfLE\u2090", "DoubleQuot.coe_quotQuotEquivQuotOfLE\u2090_symm", "DoubleQuot.coe_quotQuotEquivQuotSup\u2090", "DoubleQuot.coe_quotQuotEquivQuotSup\u2090_symm", "DoubleQuot.coe_quotQuotMk\u2090", "DoubleQuot.coe_quotQuotToQuotSup\u2090", "DoubleQuot.ker_quotLeftToQuotSup", "DoubleQuot.ker_quotQuotMk", "DoubleQuot.liftSupQuotQuotMk\u2090_toRingHom", "DoubleQuot.quotQuotEquivComm_algebraMap", "DoubleQuot.quotQuotEquivComm_comp_quotQuotMk", "DoubleQuot.quotQuotEquivComm_quotQuotMk", "DoubleQuot.quotQuotEquivComm_symm", "DoubleQuot.quotQuotEquivComm_symm\u2090", "DoubleQuot.quotQuotEquivComm\u2090_toRingEquiv", "DoubleQuot.quotQuotEquivQuotOfLE_comp_quotQuotMk\u2090", "DoubleQuot.quotQuotEquivQuotOfLE_symm_comp_mk", "DoubleQuot.quotQuotEquivQuotOfLE_symm_mk", "DoubleQuot.quotQuotEquivQuotSup\u2090_toRingEquiv", "DoubleQuot.quotQuotMk\u2090_toRingHom", "DoubleQuot.quotQuotToQuotSup\u2090_toRingHom", "Down.card_compression", "Down.compression_idem", "Down.erase_mem_compression", "Down.erase_mem_compression_of_mem_compression", "Down.mem_compression", "Down.mem_compression_of_insert_mem_compression", "Dual.apply_one_mul_eq", "DualNumber.algHom_ext", "DualNumber.algHom_ext'", "DualNumber.coe_lift_symm_apply", "DualNumber.eps_mul_eps", "DualNumber.exp_eps", "DualNumber.exp_smul_eps", "DualNumber.fst_eps", "DualNumber.inv_eps", "DualNumber.lift_apply_eps", "DualNumber.lift_apply_inl", "DualNumber.lift_inlAlgHom_eps", "DualNumber.lift_op_smul", "DualNumber.lift_smul", "DualNumber.snd_eps", "DualNumber.snd_mul", "Dvd.dvd.even", "Dvd.dvd.modEq_zero_nat", "Dvd.elim", "Dvd.elim_left", "Dvd.intro", "Dvd.intro_left", "DvdNotUnit.isUnit_of_irreducible_right", "DvdNotUnit.ne", "DvdNotUnit.not_associated", "DvdNotUnit.not_unit", "EMetric.Closeds.edist_eq", "EMetric.NonemptyCompacts.ToCloseds.uniformEmbedding", "EMetric.NonemptyCompacts.isClosed_in_closeds", "EMetric.ball_disjoint", "EMetric.ball_eq_empty_iff", "EMetric.ball_mem_nhds", "EMetric.ball_prod_same", "EMetric.ball_subset", "EMetric.ball_subset_closedBall", "EMetric.ball_zero", "EMetric.cauchySeq_iff", "EMetric.cauchySeq_iff'", "EMetric.cauchySeq_iff_NNReal", "EMetric.cauchySeq_iff_le_tendsto_0", "EMetric.cauchy_iff", "EMetric.closedBall_mem_nhds", "EMetric.closedBall_prod_same", "EMetric.closedBall_top", "EMetric.complete_of_convergent_controlled_sequences", "EMetric.continuous_infEdist", "EMetric.continuous_infEdist_hausdorffEdist", "EMetric.controlled_of_uniformEmbedding", "EMetric.countable_closure_of_compact", "EMetric.diam_ball", "EMetric.diam_closedBall", "EMetric.diam_closure", "EMetric.diam_empty", "EMetric.diam_eq_zero_iff", "EMetric.diam_iUnion_mem_option", "EMetric.diam_image_le_iff", "EMetric.diam_insert", "EMetric.diam_le", "EMetric.diam_le_iff", "EMetric.diam_mono", "EMetric.diam_one", "EMetric.diam_pair", "EMetric.diam_pi_le_of_le", "EMetric.diam_pos_iff", "EMetric.diam_pos_iff'", "EMetric.diam_singleton", "EMetric.diam_subsingleton", "EMetric.diam_triple", "EMetric.diam_union", "EMetric.disjoint_closedBall_of_lt_infEdist", "EMetric.edist_le_diam_of_mem", "EMetric.edist_le_infEdist_add_ediam", "EMetric.empty_or_nonempty_of_hausdorffEdist_ne_top", "EMetric.eventually_nhds_zero_forall_closedBall_subset", "EMetric.exists_ball_subset_ball", "EMetric.exists_continuous_nnreal_forall_closedBall_subset", "EMetric.exists_continuous_real_forall_closedBall_subset", "EMetric.exists_forall_closedBall_subset_aux\u2081", "EMetric.exists_forall_closedBall_subset_aux\u2082", "EMetric.exists_pos_forall_lt_edist", "EMetric.exists_real_pos_lt_infEdist_of_not_mem_closure", "EMetric.hausdorffEdist_closure", "EMetric.hausdorffEdist_closure\u2081", "EMetric.hausdorffEdist_comm", "EMetric.hausdorffEdist_empty", "EMetric.hausdorffEdist_image", "EMetric.hausdorffEdist_le_ediam", "EMetric.hausdorffEdist_le_of_infEdist", "EMetric.hausdorffEdist_le_of_mem_edist", "EMetric.hausdorffEdist_self", "EMetric.hausdorffEdist_self_closure", "EMetric.hausdorffEdist_triangle", "EMetric.hausdorffEdist_zero_iff_closure_eq_closure", "EMetric.hausdorffEdist_zero_iff_eq_of_closed", "EMetric.infEdist_biUnion", "EMetric.infEdist_closure", "EMetric.infEdist_closure_pos_iff_not_mem_closure", "EMetric.infEdist_empty", "EMetric.infEdist_iUnion", "EMetric.infEdist_image", "EMetric.infEdist_le_edist_add_infEdist", "EMetric.infEdist_le_edist_of_mem", "EMetric.infEdist_le_hausdorffEdist_of_mem", "EMetric.infEdist_le_infEdist_add_edist", "EMetric.infEdist_le_infEdist_add_hausdorffEdist", "EMetric.infEdist_lt_iff", "EMetric.infEdist_pos_iff_not_mem_closure", "EMetric.infEdist_zero_of_mem", "EMetric.inseparable_iff", "EMetric.isClosed_ball", "EMetric.isClosed_subsets_of_isClosed", "EMetric.isOpen_ball", "EMetric.isOpen_iff", "EMetric.le_infEdist", "EMetric.measure_ball_pos", "EMetric.mem_ball", "EMetric.mem_ball'", "EMetric.mem_ball_self", "EMetric.mem_closedBall", "EMetric.mem_closedBall'", "EMetric.mem_closedBall_comm", "EMetric.mem_closedBall_self", "EMetric.mem_closure_iff", "EMetric.mem_closure_iff_infEdist_zero", "EMetric.mem_iff_infEdist_zero_of_closed", "EMetric.mem_nhdsWithin_iff", "EMetric.mk_uniformity_basis", "EMetric.mk_uniformity_basis_le", "EMetric.nhdsWithin_basis_closed_eball", "EMetric.nhds_basis_closed_eball", "EMetric.nhds_basis_eball", "EMetric.nhds_eq", "EMetric.preimage_mul_left_ball", "EMetric.preimage_mul_right_ball", "EMetric.preimage_mul_right_closedBall", "EMetric.preimage_smul_ball", "EMetric.preimage_smul_closedBall", "EMetric.secondCountable_of_almost_dense_set", "EMetric.subset_countable_closure_of_almost_dense_set", "EMetric.subset_countable_closure_of_compact", "EMetric.t4Space", "EMetric.tendstoLocallyUniformly_iff", "EMetric.tendstoUniformlyOn_iff", "EMetric.tendstoUniformly_iff", "EMetric.tendsto_atTop", "EMetric.tendsto_nhds", "EMetric.tendsto_nhdsWithin_nhds", "EMetric.tendsto_nhdsWithin_nhdsWithin", "EMetric.totallyBounded_iff", "EMetric.totallyBounded_iff'", "EMetric.uniformContinuous_iff", "EMetric.uniformEmbedding_iff", "EMetric.uniformEmbedding_iff'", "EMetric.uniformInducing_iff", "EMetricSpace.ext", "ENNReal.Icc_mem_nhds", "ENNReal.Ioo_zero_top_eq_iUnion_Ico_zpow", "ENNReal.Lp_add_le", "ENNReal.Tendsto.const_div", "ENNReal.Tendsto.const_mul", "ENNReal.Tendsto.div", "ENNReal.Tendsto.mul", "ENNReal.Tendsto.mul_const", "ENNReal.Tendsto.sub", "ENNReal.addLECancellable_iff_ne", "ENNReal.add_biSup'", "ENNReal.add_div", "ENNReal.add_eq_top", "ENNReal.add_halves", "ENNReal.add_iInf", "ENNReal.add_iSup", "ENNReal.add_le_add_iff_left", "ENNReal.add_lt_add", "ENNReal.add_lt_add_left", "ENNReal.add_lt_add_of_le_of_lt", "ENNReal.add_lt_add_of_lt_of_le", "ENNReal.add_lt_add_right", "ENNReal.add_lt_top", "ENNReal.add_ne_top", "ENNReal.add_right_inj", "ENNReal.add_rpow_le_rpow_add", "ENNReal.add_sub_cancel_right", "ENNReal.add_thirds", "ENNReal.ae_eq_zero_of_lintegral_rpow_eq_zero", "ENNReal.aemeasurable_of_exist_almost_disjoint_supersets", "ENNReal.aemeasurable_of_tendsto", "ENNReal.aemeasurable_of_tendsto'", "ENNReal.biInf_le_nhds", "ENNReal.biSup_add", "ENNReal.biSup_add'", "ENNReal.biSup_add_biSup_le", "ENNReal.biSup_add_biSup_le'", "ENNReal.bot_eq_zero", "ENNReal.cancel_coe", "ENNReal.cancel_of_lt", "ENNReal.cancel_of_lt'", "ENNReal.cinfi_ne_top", "ENNReal.coe_add", "ENNReal.coe_div", "ENNReal.coe_div_le", "ENNReal.coe_eq_zero", "ENNReal.coe_essSup", "ENNReal.coe_finset_sum", "ENNReal.coe_finset_sup", "ENNReal.coe_iInf", "ENNReal.coe_iSup", "ENNReal.coe_indicator", "ENNReal.coe_inj", "ENNReal.coe_injective", "ENNReal.coe_inv", "ENNReal.coe_inv_le", "ENNReal.coe_inv_two", "ENNReal.coe_le_coe", "ENNReal.coe_le_one_iff", "ENNReal.coe_lt_coe", "ENNReal.coe_lt_natCast", "ENNReal.coe_lt_one_iff", "ENNReal.coe_lt_top", "ENNReal.coe_max", "ENNReal.coe_mem_upperBounds", "ENNReal.coe_min", "ENNReal.coe_mono", "ENNReal.coe_mul", "ENNReal.coe_mul_rpow", "ENNReal.coe_natCast", "ENNReal.coe_ne_one", "ENNReal.coe_ne_top", "ENNReal.coe_ne_zero", "ENNReal.coe_nnreal_eq", "ENNReal.coe_nsmul", "ENNReal.coe_ofNNRealHom", "ENNReal.coe_ofNat", "ENNReal.coe_one", "ENNReal.coe_pos", "ENNReal.coe_pow", "ENNReal.coe_range_mem_nhds", "ENNReal.coe_rpow_def", "ENNReal.coe_rpow_of_ne_zero", "ENNReal.coe_rpow_of_nonneg", "ENNReal.coe_smul", "ENNReal.coe_strictMono", "ENNReal.coe_sub", "ENNReal.coe_toNNReal", "ENNReal.coe_toNNReal_le_self", "ENNReal.coe_toReal", "ENNReal.coe_tsum", "ENNReal.coe_two", "ENNReal.coe_zero", "ENNReal.coe_zpow", "ENNReal.continuousAt_coe_iff", "ENNReal.continuousAt_const_mul", "ENNReal.continuousAt_rpow_const_of_pos", "ENNReal.continuousAt_toReal", "ENNReal.continuousOn_sub", "ENNReal.continuousOn_sub_left", "ENNReal.continuousOn_toReal", "ENNReal.continuous_coe", "ENNReal.continuous_coe_iff", "ENNReal.continuous_const_mul", "ENNReal.continuous_div_const", "ENNReal.continuous_mul_const", "ENNReal.continuous_pow", "ENNReal.continuous_rpow_const", "ENNReal.continuous_sub_left", "ENNReal.continuous_sub_right", "ENNReal.continuous_truncateToReal", "ENNReal.count_const_le_le_of_tsum_le", "ENNReal.dichotomy", "ENNReal.div_add_div_same", "ENNReal.div_eq_div_iff", "ENNReal.div_eq_inv_mul", "ENNReal.div_eq_one_iff", "ENNReal.div_eq_top", "ENNReal.div_eq_zero_iff", "ENNReal.div_le_div_left", "ENNReal.div_le_iff", "ENNReal.div_le_iff_le_mul", "ENNReal.div_le_of_le_mul", "ENNReal.div_le_of_le_mul'", "ENNReal.div_lt_iff", "ENNReal.div_lt_of_lt_mul", "ENNReal.div_lt_of_lt_mul'", "ENNReal.div_lt_top", "ENNReal.div_mul_cancel", "ENNReal.div_pos", "ENNReal.div_pos_iff", "ENNReal.div_rpow_of_nonneg", "ENNReal.div_self", "ENNReal.div_self_le_one", "ENNReal.div_top", "ENNReal.div_zero", "ENNReal.embedding_coe", "ENNReal.eq_div_iff", "ENNReal.eq_inv_of_mul_eq_one_left", "ENNReal.essSup_eq_zero_iff", "ENNReal.essSup_indicator_eq_essSup_restrict", "ENNReal.essSup_liminf_le", "ENNReal.essSup_piecewise", "ENNReal.essSup_restrict_eq_of_support_subset", "ENNReal.eventually_le_limsup", "ENNReal.eventually_pow_one_div_le", "ENNReal.exists_countable_dense_no_zero_top", "ENNReal.exists_frequently_lt_of_liminf_ne_top", "ENNReal.exists_frequently_lt_of_liminf_ne_top'", "ENNReal.exists_inv_nat_lt", "ENNReal.exists_inv_two_pow_lt", "ENNReal.exists_lt_add_of_lt_add", "ENNReal.exists_mem_Ico_zpow", "ENNReal.exists_mem_Ioc_zpow", "ENNReal.exists_nat_gt", "ENNReal.exists_nat_mul_gt", "ENNReal.exists_nat_pos_inv_mul_lt", "ENNReal.exists_nat_pos_mul_gt", "ENNReal.exists_nnreal_pos_mul_lt", "ENNReal.exists_pos_sum_of_countable", "ENNReal.exists_pos_sum_of_countable'", "ENNReal.exists_pos_tsum_mul_lt_of_countable", "ENNReal.exists_upcrossings_of_not_bounded_under", "ENNReal.finite_const_le_of_tsum_ne_top", "ENNReal.finset_card_const_le_le_of_tsum_le", "ENNReal.finset_sum_iSup_nat", "ENNReal.funMulInvSnorm_rpow", "ENNReal.fun_eq_funMulInvSnorm_mul_snorm", "ENNReal.half_le_self", "ENNReal.half_lt_self", "ENNReal.half_pos", "ENNReal.hasBasis_nhds_of_ne_top", "ENNReal.hasBasis_nhds_of_ne_top'", "ENNReal.hasSum", "ENNReal.hasSum_coe", "ENNReal.hasSum_iff_tendsto_nat", "ENNReal.hasSum_lt", "ENNReal.hasSum_toReal", "ENNReal.iInf_add", "ENNReal.iInf_add_iInf", "ENNReal.iInf_coe_eq_top", "ENNReal.iInf_coe_lt_top", "ENNReal.iInf_ennreal", "ENNReal.iInf_mul", "ENNReal.iInf_mul_left'", "ENNReal.iInf_mul_of_ne", "ENNReal.iInf_mul_right", "ENNReal.iInf_mul_right'", "ENNReal.iInf_ne_top", "ENNReal.iInf_sum", "ENNReal.iInter_Ici_coe_nat", "ENNReal.iInter_Ioi_coe_nat", "ENNReal.iSup_add", "ENNReal.iSup_add_iSup", "ENNReal.iSup_add_iSup_le", "ENNReal.iSup_add_iSup_of_monotone", "ENNReal.iSup_coe_eq_top", "ENNReal.iSup_coe_lt_top", "ENNReal.iSup_ennreal", "ENNReal.iSup_eq_zero", "ENNReal.iSup_mul", "ENNReal.iSup_natCast", "ENNReal.iSup_ne_top", "ENNReal.iSup_sub", "ENNReal.iSup_zero_eq_zero", "ENNReal.iUnion_Icc_coe_nat", "ENNReal.iUnion_Ico_coe_nat", "ENNReal.iUnion_Iio_coe_nat", "ENNReal.iUnion_Ioc_coe_nat", "ENNReal.iUnion_Ioo_coe_nat", "ENNReal.inner_le_Lp_mul_Lq", "ENNReal.inner_le_weight_mul_Lp_of_nonneg", "ENNReal.inv_eq_one", "ENNReal.inv_le_iff_inv_le", "ENNReal.inv_le_iff_le_mul", "ENNReal.inv_le_inv", "ENNReal.inv_le_inv'", "ENNReal.inv_le_one", "ENNReal.inv_liminf", "ENNReal.inv_lt_iff_inv_lt", "ENNReal.inv_lt_inv", "ENNReal.inv_lt_inv'", "ENNReal.inv_lt_one", "ENNReal.inv_lt_top", "ENNReal.inv_map_iInf", "ENNReal.inv_map_iSup", "ENNReal.inv_mul_cancel", "ENNReal.inv_mul_le_iff", "ENNReal.inv_ne_top", "ENNReal.inv_pos", "ENNReal.inv_pow", "ENNReal.inv_rpow", "ENNReal.inv_strictAnti", "ENNReal.inv_top", "ENNReal.inv_two_add_inv_two", "ENNReal.inv_zero", "ENNReal.isOpen_Ico_zero", "ENNReal.le_coe_iff", "ENNReal.le_div_iff_mul_le", "ENNReal.le_inv_iff_le_inv", "ENNReal.le_ofReal_iff_toReal_le", "ENNReal.le_of_forall_lt_one_mul_le", "ENNReal.le_of_forall_nnreal_lt", "ENNReal.le_of_forall_pos_le_add", "ENNReal.le_of_top_imp_top_of_toNNReal_le", "ENNReal.le_rpow_one_div_iff", "ENNReal.le_rpow_self_of_one_le", "ENNReal.le_sub_of_add_le_right", "ENNReal.le_toReal_sub", "ENNReal.le_tsum", "ENNReal.le_tsum_condensed", "ENNReal.le_tsum_schlomilch", "ENNReal.liminf_const_sub", "ENNReal.liminf_sub_const", "ENNReal.liminf_toReal_eq", "ENNReal.limsup_const_mul", "ENNReal.limsup_const_mul_of_ne_top", "ENNReal.limsup_const_sub", "ENNReal.limsup_liminf_le_liminf_limsup", "ENNReal.limsup_mul_le", "ENNReal.limsup_sub_const", "ENNReal.limsup_toReal_eq", "ENNReal.lintegral_Lp_add_le", "ENNReal.lintegral_Lp_add_le_aux", "ENNReal.lintegral_Lp_add_le_of_le_one", "ENNReal.lintegral_Lp_mul_le_Lq_mul_Lr", "ENNReal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero", "ENNReal.lintegral_mul_le_Lp_mul_Lq", "ENNReal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_eq_top", "ENNReal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_top", "ENNReal.lintegral_mul_le_one_of_lintegral_rpow_eq_one", "ENNReal.lintegral_mul_norm_pow_le", "ENNReal.lintegral_mul_prod_norm_pow_le", "ENNReal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpow", "ENNReal.lintegral_prod_norm_pow_le", "ENNReal.lintegral_rpow_add_le_add_snorm_mul_lintegral_rpow_add", "ENNReal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_top", "ENNReal.lintegral_rpow_funMulInvSnorm_eq_one", "ENNReal.log_bijective", "ENNReal.log_bot_lt_iff", "ENNReal.log_eq_iff", "ENNReal.log_eq_one_iff", "ENNReal.log_homeomorph_apply", "ENNReal.log_injective", "ENNReal.log_le_iff_le", "ENNReal.log_le_one_iff", "ENNReal.log_lt_one_iff", "ENNReal.log_lt_top_iff", "ENNReal.log_mul_add", "ENNReal.log_of_nnreal", "ENNReal.log_one", "ENNReal.log_one_le_iff", "ENNReal.log_orderIso_apply", "ENNReal.log_pos_real'", "ENNReal.log_pow", "ENNReal.log_rpow", "ENNReal.log_strictMono", "ENNReal.log_surjective", "ENNReal.log_top", "ENNReal.log_zero", "ENNReal.lt_add_of_sub_lt_left", "ENNReal.lt_add_right", "ENNReal.lt_div_iff_mul_lt", "ENNReal.lt_iff_exists_add_pos_lt", "ENNReal.lt_iff_exists_coe", "ENNReal.lt_iff_exists_nnreal_btwn", "ENNReal.lt_iff_exists_rat_btwn", "ENNReal.lt_ofReal_iff_toReal_lt", "ENNReal.lt_rpow_one_div_iff", "ENNReal.lt_top_of_mul_ne_top_left", "ENNReal.lt_top_of_mul_ne_top_right", "ENNReal.lt_top_of_tsum_ne_top", "ENNReal.max_mul", "ENNReal.max_zero_left", "ENNReal.max_zero_right", "ENNReal.measurable_ofReal", "ENNReal.measurable_of_measurable_nnreal", "ENNReal.measurable_of_measurable_nnreal_prod", "ENNReal.measurable_of_tendsto", "ENNReal.measurable_of_tendsto'", "ENNReal.measurable_toNNReal", "ENNReal.mem_Iio_self_add", "ENNReal.mem_Ioo_self_sub_add", "ENNReal.monotone_rpow_of_nonneg", "ENNReal.monotone_truncateToReal", "ENNReal.monotone_zpow", "ENNReal.mul_comm_div", "ENNReal.mul_div_cancel'", "ENNReal.mul_div_le", "ENNReal.mul_div_mul_left", "ENNReal.mul_div_mul_right", "ENNReal.mul_div_right_comm", "ENNReal.mul_eq_mul_right", "ENNReal.mul_eq_top", "ENNReal.mul_iInf", "ENNReal.mul_iInf_of_ne", "ENNReal.mul_iSup", "ENNReal.mul_inv", "ENNReal.mul_inv_cancel", "ENNReal.mul_le_iff_le_inv", "ENNReal.mul_le_mul_left", "ENNReal.mul_le_of_le_div", "ENNReal.mul_le_of_le_div'", "ENNReal.mul_left_mono", "ENNReal.mul_left_strictMono", "ENNReal.mul_lt_mul", "ENNReal.mul_lt_mul_left", "ENNReal.mul_lt_mul_left'", "ENNReal.mul_lt_mul_right", "ENNReal.mul_lt_mul_right'", "ENNReal.mul_lt_of_lt_div", "ENNReal.mul_lt_top", "ENNReal.mul_lt_top_iff", "ENNReal.mul_ne_top", "ENNReal.mul_pos", "ENNReal.mul_right_mono", "ENNReal.mul_rpow_eq_ite", "ENNReal.mul_rpow_of_ne_top", "ENNReal.mul_rpow_of_ne_zero", "ENNReal.mul_rpow_of_nonneg", "ENNReal.mul_sSup", "ENNReal.mul_self_lt_top_iff", "ENNReal.mul_sub", "ENNReal.mul_top'", "ENNReal.natCast_le_ofReal", "ENNReal.natCast_lt_coe", "ENNReal.natCast_ne_top", "ENNReal.natCast_sub", "ENNReal.ne_top_of_tsum_ne_top", "ENNReal.nhdsWithin_Iio_neBot", "ENNReal.nhdsWithin_Ioi_nat_neBot", "ENNReal.nhdsWithin_Ioi_ofNat_nebot", "ENNReal.nhdsWithin_Ioi_one_neBot", "ENNReal.nhds_coe", "ENNReal.nhds_coe_coe", "ENNReal.nhds_top", "ENNReal.nhds_top'", "ENNReal.nhds_zero", "ENNReal.nhds_zero_basis", "ENNReal.none_eq_top", "ENNReal.not_lt_top", "ENNReal.not_lt_zero", "ENNReal.not_top_le_coe", "ENNReal.ofNat_le_ofReal", "ENNReal.ofNat_lt_ofReal", "ENNReal.ofReal_add", "ENNReal.ofReal_add_le", "ENNReal.ofReal_cinfi", "ENNReal.ofReal_coe_nnreal", "ENNReal.ofReal_div_of_pos", "ENNReal.ofReal_eq_coe_nnreal", "ENNReal.ofReal_eq_natCast", "ENNReal.ofReal_eq_ofNat", "ENNReal.ofReal_eq_ofReal_iff", "ENNReal.ofReal_eq_zero", "ENNReal.ofReal_inv_of_pos", "ENNReal.ofReal_le_iff_le_toReal", "ENNReal.ofReal_le_natCast", "ENNReal.ofReal_le_ofNat", "ENNReal.ofReal_le_ofReal", "ENNReal.ofReal_le_ofReal_iff", "ENNReal.ofReal_le_ofReal_iff'", "ENNReal.ofReal_le_of_le_toReal", "ENNReal.ofReal_lt_coe_iff", "ENNReal.ofReal_lt_iff_lt_toReal", "ENNReal.ofReal_lt_natCast", "ENNReal.ofReal_lt_ofNat", "ENNReal.ofReal_lt_ofReal_iff", "ENNReal.ofReal_lt_ofReal_iff'", "ENNReal.ofReal_lt_ofReal_iff_of_nonneg", "ENNReal.ofReal_lt_one", "ENNReal.ofReal_lt_top", "ENNReal.ofReal_mul", "ENNReal.ofReal_mul'", "ENNReal.ofReal_natCast", "ENNReal.ofReal_ne_top", "ENNReal.ofReal_nsmul", "ENNReal.ofReal_ofNat", "ENNReal.ofReal_one", "ENNReal.ofReal_pos", "ENNReal.ofReal_pow", "ENNReal.ofReal_prod_of_nonneg", "ENNReal.ofReal_rpow_of_nonneg", "ENNReal.ofReal_rpow_of_pos", "ENNReal.ofReal_sub", "ENNReal.ofReal_sum_of_nonneg", "ENNReal.ofReal_toReal", "ENNReal.ofReal_tsum_of_nonneg", "ENNReal.ofReal_zero", "ENNReal.one_eq_coe", "ENNReal.one_le_coe_iff", "ENNReal.one_le_inv", "ENNReal.one_le_ofReal", "ENNReal.one_le_rpow", "ENNReal.one_le_rpow_of_pos_of_le_one_of_neg", "ENNReal.one_lt_coe_iff", "ENNReal.one_lt_inv", "ENNReal.one_lt_ofReal", "ENNReal.one_lt_rpow", "ENNReal.one_lt_rpow_of_pos_of_lt_one_of_neg", "ENNReal.one_lt_top", "ENNReal.one_lt_two", "ENNReal.one_ne_top", "ENNReal.one_rpow", "ENNReal.one_sub_inv_two", "ENNReal.one_toNNReal", "ENNReal.one_toReal", "ENNReal.orderIsoIicCoe_symm_apply_coe", "ENNReal.orderIsoIicOneBirational_symm_apply", "ENNReal.orderIsoRpow_symm_apply", "ENNReal.pow_eq_top", "ENNReal.pow_eq_top_iff", "ENNReal.pow_lt_pow_left", "ENNReal.pow_lt_top", "ENNReal.pow_ne_top", "ENNReal.pow_ne_zero", "ENNReal.pow_rpow_inv_natCast", "ENNReal.pow_strictMono", "ENNReal.prod_coe_rpow", "ENNReal.prod_lt_top", "ENNReal.prod_rpow_of_ne_top", "ENNReal.prod_rpow_of_nonneg", "ENNReal.range_coe'", "ENNReal.rpow_add", "ENNReal.rpow_add_le_add_rpow", "ENNReal.rpow_add_le_mul_rpow_add_rpow", "ENNReal.rpow_add_of_nonneg", "ENNReal.rpow_add_rpow_le", "ENNReal.rpow_add_rpow_le_add", "ENNReal.rpow_arith_mean_le_arith_mean2_rpow", "ENNReal.rpow_arith_mean_le_arith_mean_rpow", "ENNReal.rpow_eq_pow", "ENNReal.rpow_eq_top_iff", "ENNReal.rpow_eq_top_iff_of_pos", "ENNReal.rpow_eq_top_of_nonneg", "ENNReal.rpow_eq_zero_iff", "ENNReal.rpow_eq_zero_iff_of_pos", "ENNReal.rpow_intCast", "ENNReal.rpow_intCast_mul", "ENNReal.rpow_inv_rpow", "ENNReal.rpow_le_one", "ENNReal.rpow_le_one_of_one_le_of_neg", "ENNReal.rpow_le_rpow_iff", "ENNReal.rpow_le_rpow_of_exponent_ge", "ENNReal.rpow_le_rpow_of_exponent_le", "ENNReal.rpow_left_bijective", "ENNReal.rpow_left_injective", "ENNReal.rpow_left_surjective", "ENNReal.rpow_lt_one", "ENNReal.rpow_lt_one_of_one_lt_of_neg", "ENNReal.rpow_lt_rpow", "ENNReal.rpow_lt_rpow_iff", "ENNReal.rpow_lt_rpow_of_exponent_gt", "ENNReal.rpow_lt_rpow_of_exponent_lt", "ENNReal.rpow_lt_top_iff_of_pos", "ENNReal.rpow_lt_top_of_nonneg", "ENNReal.rpow_mul", "ENNReal.rpow_mul_intCast", "ENNReal.rpow_natCast", "ENNReal.rpow_ne_top_of_nonneg", "ENNReal.rpow_neg", "ENNReal.rpow_ofNat", "ENNReal.rpow_one", "ENNReal.rpow_one_div_le_iff", "ENNReal.rpow_pos", "ENNReal.rpow_pos_of_nonneg", "ENNReal.rpow_rpow_inv", "ENNReal.rpow_sub", "ENNReal.rpow_sum_le_const_mul_sum_rpow", "ENNReal.rpow_two", "ENNReal.rpow_zero", "ENNReal.sInf_add", "ENNReal.sSup_add", "ENNReal.smul_def", "ENNReal.smul_iSup", "ENNReal.smul_sSup", "ENNReal.smul_toNNReal", "ENNReal.smul_top", "ENNReal.some_eq_coe", "ENNReal.some_eq_coe'", "ENNReal.strictMono_rpow_of_pos", "ENNReal.sub_div", "ENNReal.sub_eq_of_add_eq", "ENNReal.sub_eq_of_eq_add", "ENNReal.sub_eq_of_eq_add_rev", "ENNReal.sub_eq_sInf", "ENNReal.sub_eq_top_iff", "ENNReal.sub_half", "ENNReal.sub_iInf", "ENNReal.sub_iSup", "ENNReal.sub_lt_of_lt_add", "ENNReal.sub_lt_of_sub_lt", "ENNReal.sub_lt_self", "ENNReal.sub_lt_self_iff", "ENNReal.sub_mul", "ENNReal.sub_ne_top", "ENNReal.sub_sub_cancel", "ENNReal.sub_top", "ENNReal.sum_eq_top_iff", "ENNReal.sum_le_tsum", "ENNReal.sum_lt_sum_of_nonempty", "ENNReal.sum_lt_top", "ENNReal.sum_lt_top_iff", "ENNReal.summable", "ENNReal.sup_eq_max", "ENNReal.sup_eq_zero", "ENNReal.tendsto_atTop", "ENNReal.tendsto_atTop_zero", "ENNReal.tendsto_coe", "ENNReal.tendsto_coe_nhds_top", "ENNReal.tendsto_coe_sub", "ENNReal.tendsto_cofinite_zero_of_tsum_ne_top", "ENNReal.tendsto_const_mul_rpow_nhds_zero_of_pos", "ENNReal.tendsto_finset_prod_of_ne_top", "ENNReal.tendsto_inv_iff", "ENNReal.tendsto_inv_nat_nhds_zero", "ENNReal.tendsto_mul", "ENNReal.tendsto_nat_tsum", "ENNReal.tendsto_nhds", "ENNReal.tendsto_nhds_coe_iff", "ENNReal.tendsto_nhds_of_Icc", "ENNReal.tendsto_nhds_top", "ENNReal.tendsto_nhds_top_iff_nat", "ENNReal.tendsto_nhds_top_iff_nnreal", "ENNReal.tendsto_nhds_zero", "ENNReal.tendsto_ofReal", "ENNReal.tendsto_ofReal_atTop", "ENNReal.tendsto_ofReal_nhds_top", "ENNReal.tendsto_pow_atTop_nhds_zero_iff", "ENNReal.tendsto_pow_atTop_nhds_zero_of_lt_one", "ENNReal.tendsto_rpow_at_top", "ENNReal.tendsto_sub", "ENNReal.tendsto_sum_nat_add", "ENNReal.tendsto_toNNReal", "ENNReal.tendsto_toReal", "ENNReal.tendsto_toReal_iff", "ENNReal.tendsto_tsum_compl_atTop_zero", "ENNReal.toNNReal_apply_of_tsum_ne_top", "ENNReal.toNNReal_coe", "ENNReal.toNNReal_div", "ENNReal.toNNReal_eq_one_iff", "ENNReal.toNNReal_eq_toNNReal_iff", "ENNReal.toNNReal_eq_toNNReal_iff'", "ENNReal.toNNReal_eq_zero_iff", "ENNReal.toNNReal_iInf", "ENNReal.toNNReal_iSup", "ENNReal.toNNReal_inv", "ENNReal.toNNReal_le_toNNReal", "ENNReal.toNNReal_lt_toNNReal", "ENNReal.toNNReal_mono", "ENNReal.toNNReal_mul", "ENNReal.toNNReal_mul_top", "ENNReal.toNNReal_nat", "ENNReal.toNNReal_ne_one", "ENNReal.toNNReal_pos_iff", "ENNReal.toNNReal_pow", "ENNReal.toNNReal_prod", "ENNReal.toNNReal_rpow", "ENNReal.toNNReal_sInf", "ENNReal.toNNReal_sSup", "ENNReal.toNNReal_sum", "ENNReal.toNNReal_top_mul", "ENNReal.toReal_add", "ENNReal.toReal_add_le", "ENNReal.toReal_div", "ENNReal.toReal_eq_one_iff", "ENNReal.toReal_eq_toReal", "ENNReal.toReal_eq_toReal_iff", "ENNReal.toReal_eq_toReal_iff'", "ENNReal.toReal_eq_zero_iff", "ENNReal.toReal_iInf", "ENNReal.toReal_iSup", "ENNReal.toReal_inf", "ENNReal.toReal_inv", "ENNReal.toReal_le_add", "ENNReal.toReal_le_add'", "ENNReal.toReal_le_coe_of_le_coe", "ENNReal.toReal_le_of_le_ofReal", "ENNReal.toReal_le_toReal", "ENNReal.toReal_lt_of_lt_ofReal", "ENNReal.toReal_lt_toReal", "ENNReal.toReal_max", "ENNReal.toReal_min", "ENNReal.toReal_mono'", "ENNReal.toReal_mul", "ENNReal.toReal_mul_top", "ENNReal.toReal_nat", "ENNReal.toReal_nonneg", "ENNReal.toReal_nsmul", "ENNReal.toReal_ofNat", "ENNReal.toReal_ofReal", "ENNReal.toReal_ofReal'", "ENNReal.toReal_ofReal_eq_iff", "ENNReal.toReal_pos", "ENNReal.toReal_pos_iff", "ENNReal.toReal_pos_iff_ne_top", "ENNReal.toReal_prod", "ENNReal.toReal_rpow", "ENNReal.toReal_sInf", "ENNReal.toReal_sSup", "ENNReal.toReal_smul", "ENNReal.toReal_strict_mono", "ENNReal.toReal_sub_of_le", "ENNReal.toReal_sum", "ENNReal.toReal_sup", "ENNReal.top_div", "ENNReal.top_div_coe", "ENNReal.top_mul", "ENNReal.top_mul'", "ENNReal.top_ne_coe", "ENNReal.top_ne_natCast", "ENNReal.top_ne_ofReal", "ENNReal.top_ne_one", "ENNReal.top_ne_zero", "ENNReal.top_pow", "ENNReal.top_rpow_def", "ENNReal.top_rpow_of_neg", "ENNReal.top_rpow_of_pos", "ENNReal.top_toNNReal", "ENNReal.top_toReal", "ENNReal.trichotomy", "ENNReal.trichotomy\u2082", "ENNReal.truncateToReal_eq_toReal", "ENNReal.truncateToReal_le", "ENNReal.truncateToReal_nonneg", "ENNReal.tsum_add_one_eq_top", "ENNReal.tsum_apply", "ENNReal.tsum_biUnion_le", "ENNReal.tsum_coe_eq", "ENNReal.tsum_coe_eq_top_iff_not_summable_coe", "ENNReal.tsum_coe_ne_top_iff_summable", "ENNReal.tsum_comp_le_tsum_of_injective", "ENNReal.tsum_condensed_le", "ENNReal.tsum_const_eq_top_of_ne_zero", "ENNReal.tsum_const_smul", "ENNReal.tsum_eq_add_tsum_ite", "ENNReal.tsum_eq_iSup_nat", "ENNReal.tsum_eq_iSup_nat'", "ENNReal.tsum_eq_iSup_sum", "ENNReal.tsum_eq_iSup_sum'", "ENNReal.tsum_eq_limsup_sum_nat", "ENNReal.tsum_eq_top_of_eq_top", "ENNReal.tsum_eq_zero", "ENNReal.tsum_fiberwise", "ENNReal.tsum_geometric", "ENNReal.tsum_geometric_add_one", "ENNReal.tsum_iUnion_le", "ENNReal.tsum_le_tsum", "ENNReal.tsum_lt_tsum", "ENNReal.tsum_mono_subtype", "ENNReal.tsum_mul_left", "ENNReal.tsum_mul_right", "ENNReal.tsum_prod", "ENNReal.tsum_prod'", "ENNReal.tsum_schlomilch_le", "ENNReal.tsum_sigma", "ENNReal.tsum_sigma'", "ENNReal.tsum_sub", "ENNReal.tsum_toNNReal_eq", "ENNReal.tsum_toReal_eq", "ENNReal.tsum_union_le", "ENNReal.two_lt_top", "ENNReal.two_ne_top", "ENNReal.young_inequality", "ENNReal.zero_eq_coe", "ENNReal.zero_lt_top", "ENNReal.zero_ne_top", "ENNReal.zero_rpow_def", "ENNReal.zero_rpow_mul_self", "ENNReal.zero_rpow_of_neg", "ENNReal.zero_rpow_of_pos", "ENNReal.zero_toNNReal", "ENNReal.zero_toReal", "ENNReal.zpow_add", "ENNReal.zpow_le_of_le", "ENNReal.zpow_lt_top", "ENNReal.zpow_pos", "ENat.add_one_le_iff", "ENat.add_one_le_of_lt", "ENat.coe_add", "ENat.coe_iInf", "ENat.coe_mul", "ENat.coe_sInf", "ENat.coe_sSup", "ENat.coe_toNatHom", "ENat.coe_toNat_eq_self", "ENat.coe_zero", "ENat.iInf_coe_eq_top", "ENat.iInf_coe_ne_top", "ENat.iSup_coe_lt_top", "ENat.iSup_coe_ne_top", "ENat.le_of_lt_add_one", "ENat.nat_induction", "ENat.ofNat_ne_top", "ENat.one_le_iff_ne_zero", "ENat.one_ne_top", "ENat.recTopCoe_one", "ENat.recTopCoe_top", "ENat.some_eq_coe", "ENat.sub_top", "ENat.succ_def", "ENat.toENNReal_add", "ENat.toENNReal_coe", "ENat.toENNReal_le", "ENat.toENNReal_lt", "ENat.toENNReal_max", "ENat.toENNReal_min", "ENat.toENNReal_mono", "ENat.toENNReal_mul", "ENat.toENNReal_one", "ENat.toENNReal_sub", "ENat.toENNReal_top", "ENat.toENNReal_zero", "ENat.toNatHom_apply", "ENat.toNat_add", "ENat.toNat_coe", "ENat.toNat_eq_zero", "ENat.toNat_le_toNat", "ENat.toNat_ofNat", "ENat.toNat_sub", "ENat.toNat_top", "ENat.top_mul", "ENat.top_ne_one", "ENat.top_ne_zero", "ENat.top_sub_coe", "ENat.top_sub_ofNat", "ENat.top_sub_one", "ENat.zero_lt_top", "ENorm.coe_inj", "ENorm.coe_max", "ENorm.ext_iff", "ENorm.finite_dist_eq", "ENorm.finite_edist_eq", "ENorm.finite_norm_eq", "ENorm.map_neg", "ENorm.map_smul", "ENorm.map_sub_le", "ENorm.map_sub_rev", "ENorm.map_zero", "ENorm.top_map", "EReal.abs_coe_lt_top", "EReal.abs_def", "EReal.abs_mul", "EReal.addLECancellable_coe", "EReal.add_eq_bot_iff", "EReal.add_lt_add", "EReal.add_lt_add_left_coe", "EReal.add_lt_add_of_lt_of_le", "EReal.add_lt_add_of_lt_of_le'", "EReal.add_lt_top", "EReal.add_pos", "EReal.add_sub_cancel_right", "EReal.add_top_iff_ne_bot", "EReal.add_top_of_ne_bot", "EReal.antitone_div_right_of_nonpos", "EReal.bot_div_of_pos_ne_top", "EReal.bot_lt_add_iff", "EReal.bot_lt_coe", "EReal.bot_lt_zero", "EReal.bot_mul_bot", "EReal.bot_mul_coe_of_neg", "EReal.bot_mul_coe_of_pos", "EReal.bot_mul_of_neg", "EReal.bot_mul_of_pos", "EReal.bot_ne_zero", "EReal.bot_sub", "EReal.closedEmbedding_coe_ennreal", "EReal.coe_add", "EReal.coe_add_top", "EReal.coe_coe_sign", "EReal.coe_div", "EReal.coe_ennreal_eq_coe_ennreal_iff", "EReal.coe_ennreal_eq_one", "EReal.coe_ennreal_eq_top_iff", "EReal.coe_ennreal_le_coe_ennreal_iff", "EReal.coe_ennreal_lt_coe_ennreal_iff", "EReal.coe_ennreal_mul", "EReal.coe_ennreal_ne_coe_ennreal_iff", "EReal.coe_ennreal_ne_one", "EReal.coe_ennreal_ne_zero", "EReal.coe_ennreal_nsmul", "EReal.coe_ennreal_ofReal", "EReal.coe_ennreal_one", "EReal.coe_ennreal_pos", "EReal.coe_ennreal_pow", "EReal.coe_ennreal_top", "EReal.coe_ennreal_top_mul", "EReal.coe_ennreal_zero", "EReal.coe_eq_coe_iff", "EReal.coe_injective", "EReal.coe_le_coe_iff", "EReal.coe_lt_top", "EReal.coe_mul", "EReal.coe_mul_bot_of_neg", "EReal.coe_mul_bot_of_pos", "EReal.coe_mul_top_of_pos", "EReal.coe_ne_bot", "EReal.coe_ne_one", "EReal.coe_ne_top", "EReal.coe_neg", "EReal.coe_neg'", "EReal.coe_nnreal_eq_coe_real", "EReal.coe_nnreal_ne_top", "EReal.coe_nonneg", "EReal.coe_one", "EReal.coe_pos", "EReal.coe_pow", "EReal.coe_real_ereal_eq_coe_toNNReal_sub_coe_toNNReal", "EReal.coe_strictMono", "EReal.coe_sub", "EReal.coe_toReal", "EReal.coe_toReal_le", "EReal.coe_zsmul", "EReal.continuousAt_add", "EReal.continuousAt_add_bot_bot", "EReal.continuousAt_add_bot_coe", "EReal.continuousAt_add_coe_coe", "EReal.continuousAt_add_top_coe", "EReal.continuousAt_add_top_top", "EReal.continuous_coe_ennreal_iff", "EReal.denseRange_ratCast", "EReal.div_bot", "EReal.div_div", "EReal.div_eq_inv_mul", "EReal.div_le_div_right_of_nonneg", "EReal.div_le_iff_le_mul", "EReal.div_lt_div_right_of_neg", "EReal.div_lt_div_right_of_pos", "EReal.div_mul_cancel", "EReal.div_nonneg", "EReal.div_right_distrib_of_nonneg", "EReal.div_self", "EReal.div_top", "EReal.div_zero", "EReal.embedding_coe", "EReal.embedding_coe_ennreal", "EReal.eq_top_iff_forall_lt", "EReal.exists_between_coe_real", "EReal.exists_rat_btwn_of_lt", "EReal.image_coe_Icc", "EReal.image_coe_Ici", "EReal.image_coe_Ico", "EReal.image_coe_Iic", "EReal.image_coe_Iio", "EReal.image_coe_Ioc", "EReal.image_coe_Ioi", "EReal.image_coe_Ioo", "EReal.induction\u2082", "EReal.induction\u2082_neg_left", "EReal.induction\u2082_symm", "EReal.inv_bot", "EReal.inv_inv", "EReal.inv_neg", "EReal.inv_neg_of_neg_ne_bot", "EReal.inv_nonneg_of_nonneg", "EReal.inv_nonpos_of_nonpos", "EReal.inv_pos_of_pos_ne_top", "EReal.inv_top", "EReal.inv_zero", "EReal.le_coe_toReal", "EReal.le_div_iff_mul_le", "EReal.le_iff_le_forall_real_gt", "EReal.le_iff_sign", "EReal.lt_iff_exists_real_btwn", "EReal.measurable_of_measurable_real", "EReal.mem_nhds_bot_iff", "EReal.mem_nhds_top_iff", "EReal.monotone_div_right_of_nonneg", "EReal.mul_bot_of_neg", "EReal.mul_bot_of_pos", "EReal.mul_comm", "EReal.mul_div", "EReal.mul_div_cancel", "EReal.mul_div_mul_cancel", "EReal.mul_div_right", "EReal.mul_inv", "EReal.mul_pos", "EReal.mul_top_of_neg", "EReal.mul_top_of_pos", "EReal.neg_bot", "EReal.neg_eq_zero_iff", "EReal.neg_le", "EReal.neg_le_neg_iff", "EReal.neg_lt_iff_neg_lt", "EReal.neg_lt_neg_iff", "EReal.neg_mul", "EReal.neg_strictAnti", "EReal.neg_top", "EReal.nhds_bot", "EReal.nhds_bot'", "EReal.nhds_bot_basis", "EReal.nhds_coe", "EReal.nhds_coe_coe", "EReal.nhds_top", "EReal.nhds_top'", "EReal.nhds_top_basis", "EReal.one_mul", "EReal.openEmbedding_coe", "EReal.preimage_coe_Icc", "EReal.preimage_coe_Ici", "EReal.preimage_coe_Ico", "EReal.preimage_coe_Ico_top", "EReal.preimage_coe_Iic", "EReal.preimage_coe_Iio", "EReal.preimage_coe_Iio_top", "EReal.preimage_coe_Ioc", "EReal.preimage_coe_Ioc_bot", "EReal.preimage_coe_Ioi", "EReal.preimage_coe_Ioi_bot", "EReal.preimage_coe_Ioo", "EReal.preimage_coe_Ioo_bot", "EReal.preimage_coe_Ioo_bot_top", "EReal.preimage_coe_Ioo_top", "EReal.range_coe_ennreal", "EReal.right_distrib_of_nonneg", "EReal.sign_bot", "EReal.sign_coe", "EReal.sign_eq_and_abs_eq_iff_eq", "EReal.sign_mul", "EReal.sign_mul_abs", "EReal.sign_mul_inv_abs", "EReal.sign_mul_inv_abs'", "EReal.sign_neg", "EReal.strictAnti_div_right_of_neg", "EReal.strictMono_div_right_of_pos", "EReal.sub_le_sub", "EReal.sub_top", "EReal.tendsto_coe_ennreal", "EReal.tendsto_nhds_bot_iff_real", "EReal.tendsto_nhds_top_iff_real", "EReal.tendsto_toReal", "EReal.toReal_add", "EReal.toReal_coe", "EReal.toReal_coe_ennreal", "EReal.toReal_le_toReal", "EReal.toReal_mul", "EReal.toReal_one", "EReal.toReal_sub", "EReal.toReal_top", "EReal.toReal_zero", "EReal.top_add_iff_ne_bot", "EReal.top_add_of_ne_bot", "EReal.top_add_top", "EReal.top_div_of_neg_ne_bot", "EReal.top_div_of_pos_ne_top", "EReal.top_mul_coe_of_neg", "EReal.top_mul_of_neg", "EReal.top_mul_of_pos", "EReal.top_mul_top", "EReal.top_ne_coe", "EReal.top_sub_bot", "EReal.top_sub_coe", "EReal.zero_lt_top", "EReal.zero_mul", "EReal.zero_ne_bot", "EckmannHilton.mul_comm", "EckmannHilton.one", "EisensteinSeries.auxbound1", "EisensteinSeries.auxbound2", "EisensteinSeries.div_linear_zpow_differentiableOn", "EisensteinSeries.div_max_sq_ge_one", "EisensteinSeries.eisSummand_SL2_apply", "EisensteinSeries.eisSummand_extension_differentiableOn", "EisensteinSeries.eisensteinSeries_SIF_MDifferentiable", "EisensteinSeries.eisensteinSeries_slash_apply", "EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly", "EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOn", "EisensteinSeries.gammaSet_one_eq", "EisensteinSeries.norm_eq_max_natAbs", "EisensteinSeries.pairwise_disjoint_gammaSet", "EisensteinSeries.r1_aux_bound", "EisensteinSeries.r1_pos", "EisensteinSeries.r_lower_bound_on_verticalStrip", "EisensteinSeries.r_mul_max_le", "EisensteinSeries.r_pos", "EisensteinSeries.summable_one_div_norm_rpow", "EisensteinSeries.summand_bound", "EisensteinSeries.summand_bound_of_mem_verticalStrip", "EisensteinSeries.vecMul_SL2_mem_gammaSet", "EllipticCurve.Affine.nonsingular", "EllipticCurve.coe_inv_map_\u0394'", "EllipticCurve.coe_inv_variableChange_\u0394'", "EllipticCurve.coe_variableChange_\u0394'", "EllipticCurve.ofJ'_j", "EllipticCurve.ofJ0_j", "EllipticCurve.ofJ1728_j", "EllipticCurve.ofJ_0_of_three_eq_zero", "EllipticCurve.ofJ_0_of_three_ne_zero", "EllipticCurve.ofJ_0_of_two_eq_zero", "EllipticCurve.ofJ_1728_of_three_eq_zero", "EllipticCurve.ofJ_1728_of_two_eq_zero", "EllipticCurve.ofJ_1728_of_two_ne_zero", "EllipticCurve.ofJ_j", "EllipticCurve.ofJ_ne_0_ne_1728", "EllipticCurve.twoTorsionPolynomial_disc_ne_zero", "EllipticCurve.two_or_three_ne_zero", "EllipticCurve.variableChange_comp", "EllipticCurve.variableChange_id", "EllipticCurve.variableChange_j", "Embedding.aestronglyMeasurable_comp_iff", "Embedding.closure_eq_preimage_closure_image", "Embedding.codRestrict", "Embedding.comp_stronglyMeasurable_iff", "Embedding.completelyNormalSpace", "Embedding.continuous", "Embedding.continuousOn_iff", "Embedding.continuous_iff", "Embedding.discreteTopology", "Embedding.firstCountableTopology", "Embedding.isCompact_iff", "Embedding.isLindelof_iff", "Embedding.isSeparable_preimage", "Embedding.isTotallyDisconnected", "Embedding.isTotallyDisconnected_image", "Embedding.isTotallyDisconnected_range", "Embedding.map_nhdsWithin_eq", "Embedding.map_nhds_eq", "Embedding.map_nhds_of_mem", "Embedding.measurableEmbedding", "Embedding.mk'", "Embedding.of_subsingleton", "Embedding.prod_map", "Embedding.separableSpace", "Embedding.t0Space", "Embedding.t1Space", "Embedding.t2Space", "Embedding.t3Space", "Embedding.t5Space", "Embedding.tendsto_nhds_iff", "Embedding.toOpenEmbedding_of_surjective", "Embedding.to_uniformEmbedding", "EmbeddingLike.apply_eq_iff_eq", "EmbeddingLike.comp_injective", "EmbeddingLike.injective", "EmbeddingLike.pairwise_comp", "Emetric.exists_smooth_forall_closedBall_subset", "Encodable.Subtype.encode_eq", "Encodable.axiom_of_choice", "Encodable.decode_ge_two", "Encodable.decode_list_succ", "Encodable.decode_list_zero", "Encodable.decode_nat", "Encodable.decode_ofEquiv", "Encodable.decode_option_succ", "Encodable.decode_prod_val", "Encodable.decode_sigma_val", "Encodable.decode_sum_val", "Encodable.decode_unit_succ", "Encodable.decode\u2082_encode", "Encodable.decode\u2082_eq_some", "Encodable.decode\u2082_is_partial_inv", "Encodable.decode\u2082_ne_none_iff", "Encodable.encode_false", "Encodable.encode_inj", "Encodable.encode_injective", "Encodable.encode_inr", "Encodable.encode_list_cons", "Encodable.encode_list_nil", "Encodable.encode_nat", "Encodable.encode_ofEquiv", "Encodable.encode_prod_val", "Encodable.encode_sigma_val", "Encodable.encode_star", "Encodable.encodek\u2082", "Encodable.iSup_decode\u2082", "Encodable.iUnion_decode\u2082", "Encodable.iUnion_decode\u2082_cases", "Encodable.iUnion_decode\u2082_disjoint_on", "Encodable.length_sortedUniv", "Encodable.mem_decode\u2082", "Encodable.mem_decode\u2082'", "Encodable.nonempty_encodable", "Encodable.sortedUniv_nodup", "Encodable.sortedUniv_toFinset", "Encodable.surjective_decode_iget", "Eq.cmp_eq_eq", "Eq.congr", "Eq.congr_left", "Eq.congr_right", "Eq.ge", "Eq.rec_eq_cast", "Eq.sameCycle", "Eq.subset", "Eq.substr", "Eq.symm", "Eq.trans", "Eq.wcovBy", "EqualCharZero.PNat.isUnit_natCast", "EqualCharZero.nonempty_algebraRat_iff", "EqualCharZero.of_algebraRat", "EqualCharZero.of_not_mixedCharZero", "EqualCharZero.pnatCast_eq_natCast", "EqualCharZero.pnatCast_one", "EqualCharZero.to_not_mixedCharZero", "Equicontinuous.closure'", "Equicontinuous.comap_uniformFun_eq", "Equicontinuous.comp", "Equicontinuous.continuous", "Equicontinuous.equicontinuousOn", "Equicontinuous.inducing_uniformFun_iff_pi", "Equicontinuous.isClosed_setOf_tendsto", "Equicontinuous.tendsto_uniformFun_iff_pi", "Equicontinuous.uniformInducing_uniformFun_iff_pi", "EquicontinuousAt.closure'", "EquicontinuousAt.continuousAt", "EquicontinuousAt.tendsto_of_mem_closure", "EquicontinuousOn.closure'", "EquicontinuousOn.comap_uniformOnFun_eq", "EquicontinuousOn.comp", "EquicontinuousOn.inducing_uniformOnFun_iff_pi", "EquicontinuousOn.inducing_uniformOnFun_iff_pi'", "EquicontinuousOn.isClosed_range_pi_of_uniformOnFun'", "EquicontinuousOn.isClosed_range_uniformOnFun_iff_pi", "EquicontinuousOn.mono", "EquicontinuousOn.tendsto_uniformOnFun_iff_pi", "EquicontinuousOn.tendsto_uniformOnFun_iff_pi'", "EquicontinuousOn.uniformInducing_uniformOnFun_iff_pi", "EquicontinuousOn.uniformInducing_uniformOnFun_iff_pi'", "EquicontinuousWithinAt.closure'", "EquicontinuousWithinAt.comp", "EquicontinuousWithinAt.continuousWithinAt", "Equiv.Finset.union_symm_inr", "Equiv.Perm.Disjoint.card_support_mul", "Equiv.Perm.Disjoint.commute", "Equiv.Perm.Disjoint.conj", "Equiv.Perm.Disjoint.cycleFactorsFinset_mul_eq_union", "Equiv.Perm.Disjoint.cycleOf_mul_distrib", "Equiv.Perm.Disjoint.cycleType", "Equiv.Perm.Disjoint.disjoint_cycleFactorsFinset", "Equiv.Perm.Disjoint.extendDomain", "Equiv.Perm.Disjoint.inv_left", "Equiv.Perm.Disjoint.inv_right", "Equiv.Perm.Disjoint.isConj_mul", "Equiv.Perm.Disjoint.mem_imp", "Equiv.Perm.Disjoint.mono", "Equiv.Perm.Disjoint.mul_apply_eq_iff", "Equiv.Perm.Disjoint.mul_eq_one_iff", "Equiv.Perm.Disjoint.orderOf", "Equiv.Perm.Disjoint.support_mul", "Equiv.Perm.Disjoint.symm", "Equiv.Perm.IsCycle.conj", "Equiv.Perm.IsCycle.cycleOf", "Equiv.Perm.IsCycle.cycleOf_eq", "Equiv.Perm.IsCycle.cycleType", "Equiv.Perm.IsCycle.eq_on_support_inter_nonempty_congr", "Equiv.Perm.IsCycle.eq_swap_of_apply_apply_eq_self", "Equiv.Perm.IsCycle.existsUnique_cycle", "Equiv.Perm.IsCycle.existsUnique_cycle_nontrivial_subtype", "Equiv.Perm.IsCycle.existsUnique_cycle_subtype", "Equiv.Perm.IsCycle.exists_pow_eq", "Equiv.Perm.IsCycle.exists_zpow_eq", "Equiv.Perm.IsCycle.extendDomain", "Equiv.Perm.IsCycle.inv", "Equiv.Perm.IsCycle.isConj", "Equiv.Perm.IsCycle.isConj_iff", "Equiv.Perm.IsCycle.isCycleOn", "Equiv.Perm.IsCycle.isCycle_pow_pos_of_lt_prime_order", "Equiv.Perm.IsCycle.of_pow", "Equiv.Perm.IsCycle.of_zpow", "Equiv.Perm.IsCycle.orderOf", "Equiv.Perm.IsCycle.pow_eq_one_iff", "Equiv.Perm.IsCycle.pow_eq_one_iff'", "Equiv.Perm.IsCycle.pow_eq_one_iff''", "Equiv.Perm.IsCycle.pow_eq_pow_iff", "Equiv.Perm.IsCycle.pow_iff", "Equiv.Perm.IsCycle.sameCycle", "Equiv.Perm.IsCycle.sign", "Equiv.Perm.IsCycle.support_congr", "Equiv.Perm.IsCycle.support_pow_eq_iff", "Equiv.Perm.IsCycle.support_pow_of_pos_of_lt_orderOf", "Equiv.Perm.IsCycle.swap_mul", "Equiv.Perm.IsCycle.two_le_card_support", "Equiv.Perm.IsCycleOn.apply_mem_iff", "Equiv.Perm.IsCycleOn.apply_ne", "Equiv.Perm.IsCycleOn.conj", "Equiv.Perm.IsCycleOn.countable", "Equiv.Perm.IsCycleOn.exists_pow_eq", "Equiv.Perm.IsCycleOn.exists_pow_eq'", "Equiv.Perm.IsCycleOn.isCycle_subtypePerm", "Equiv.Perm.IsCycleOn.of_pow", "Equiv.Perm.IsCycleOn.of_zpow", "Equiv.Perm.IsCycleOn.pow_apply_eq", "Equiv.Perm.IsCycleOn.pow_apply_eq_pow_apply", "Equiv.Perm.IsCycleOn.pow_card_apply", "Equiv.Perm.IsCycleOn.range_zpow", "Equiv.Perm.IsCycleOn.subtypePerm", "Equiv.Perm.IsCycleOn.zpow_apply_eq", "Equiv.Perm.IsCycleOn.zpow_apply_eq_zpow_apply", "Equiv.Perm.IsSwap.finite_compl_fixedBy", "Equiv.Perm.IsSwap.isCycle", "Equiv.Perm.IsSwap.mul_mem_closure_three_cycles", "Equiv.Perm.IsSwap.of_subtype_isSwap", "Equiv.Perm.IsThreeCycle.alternating_normalClosure", "Equiv.Perm.IsThreeCycle.inv", "Equiv.Perm.IsThreeCycle.inv_iff", "Equiv.Perm.IsThreeCycle.isCycle", "Equiv.Perm.IsThreeCycle.isThreeCycle_sq", "Equiv.Perm.IsThreeCycle.mem_alternatingGroup", "Equiv.Perm.IsThreeCycle.orderOf", "Equiv.Perm.IsThreeCycle.sign", "Equiv.Perm.SameCycle.apply_eq_self_iff", "Equiv.Perm.SameCycle.conj", "Equiv.Perm.SameCycle.cycleOf_apply", "Equiv.Perm.SameCycle.cycleOf_eq", "Equiv.Perm.SameCycle.eq_of_left", "Equiv.Perm.SameCycle.equivalence", "Equiv.Perm.SameCycle.exists_pow_eq", "Equiv.Perm.SameCycle.exists_pow_eq'", "Equiv.Perm.SameCycle.exists_pow_eq''", "Equiv.Perm.SameCycle.exists_pow_eq_of_mem_support", "Equiv.Perm.SameCycle.of_pow", "Equiv.Perm.SameCycle.of_zpow", "Equiv.Perm.SameCycle.refl", "Equiv.Perm.SameCycle.rfl", "Equiv.Perm.SameCycle.symm", "Equiv.Perm.SameCycle.toList_isRotated", "Equiv.Perm.SameCycle.trans", "Equiv.Perm.VectorsProdEqOne.card", "Equiv.Perm.VectorsProdEqOne.one_eq", "Equiv.Perm.VectorsProdEqOne.rotate_length", "Equiv.Perm.VectorsProdEqOne.rotate_rotate", "Equiv.Perm.apply_inv_self", "Equiv.Perm.apply_mem_support", "Equiv.Perm.apply_pow_apply_eq_iff", "Equiv.Perm.apply_zpow_apply_eq_iff", "Equiv.Perm.card_compl_support_modEq", "Equiv.Perm.card_cycleType_eq_one", "Equiv.Perm.card_cycleType_eq_zero", "Equiv.Perm.card_cycleType_pos", "Equiv.Perm.card_fixedPoints_modEq", "Equiv.Perm.card_support_conj", "Equiv.Perm.card_support_cycleOf_pos_iff", "Equiv.Perm.card_support_eq_two", "Equiv.Perm.card_support_eq_zero", "Equiv.Perm.card_support_extend_domain", "Equiv.Perm.card_support_le_one", "Equiv.Perm.card_support_ne_one", "Equiv.Perm.card_support_prod_list_of_pairwise_disjoint", "Equiv.Perm.card_support_swap", "Equiv.Perm.card_support_swap_mul", "Equiv.Perm.closure_cycle_adjacent_swap", "Equiv.Perm.closure_cycle_coprime_swap", "Equiv.Perm.closure_isCycle", "Equiv.Perm.closure_isSwap", "Equiv.Perm.closure_prime_cycle_swap", "Equiv.Perm.closure_three_cycles_eq_alternating", "Equiv.Perm.coe_mul", "Equiv.Perm.coe_pow", "Equiv.Perm.coe_subsingleton", "Equiv.Perm.coe_support_eq_set_support", "Equiv.Perm.congr_arg", "Equiv.Perm.congr_fun", "Equiv.Perm.cycleFactorsFinset_eq_empty_iff", "Equiv.Perm.cycleFactorsFinset_eq_finset", "Equiv.Perm.cycleFactorsFinset_eq_list_toFinset", "Equiv.Perm.cycleFactorsFinset_eq_singleton_iff", "Equiv.Perm.cycleFactorsFinset_mem_commute", "Equiv.Perm.cycleFactorsFinset_mul_inv_mem_eq_sdiff", "Equiv.Perm.cycleFactorsFinset_noncommProd", "Equiv.Perm.cycleFactorsFinset_one", "Equiv.Perm.cycleFactorsFinset_pairwise_disjoint", "Equiv.Perm.cycleOf_apply", "Equiv.Perm.cycleOf_apply_apply_pow_self", "Equiv.Perm.cycleOf_apply_apply_self", "Equiv.Perm.cycleOf_apply_apply_zpow_self", "Equiv.Perm.cycleOf_apply_of_not_sameCycle", "Equiv.Perm.cycleOf_apply_self", "Equiv.Perm.cycleOf_eq_one_iff", "Equiv.Perm.cycleOf_inv", "Equiv.Perm.cycleOf_mem_cycleFactorsFinset_iff", "Equiv.Perm.cycleOf_mul_of_apply_right_eq_self", "Equiv.Perm.cycleOf_one", "Equiv.Perm.cycleOf_pow_apply_self", "Equiv.Perm.cycleOf_self_apply", "Equiv.Perm.cycleOf_self_apply_pow", "Equiv.Perm.cycleOf_self_apply_zpow", "Equiv.Perm.cycleOf_zpow_apply_self", "Equiv.Perm.cycleType_conj", "Equiv.Perm.cycleType_def", "Equiv.Perm.cycleType_eq", "Equiv.Perm.cycleType_eq'", "Equiv.Perm.cycleType_eq_zero", "Equiv.Perm.cycleType_extendDomain", "Equiv.Perm.cycleType_inv", "Equiv.Perm.cycleType_le_of_mem_cycleFactorsFinset", "Equiv.Perm.cycleType_mul_inv_mem_cycleFactorsFinset_eq_sub", "Equiv.Perm.cycleType_of_card_le_mem_cycleType_add_two", "Equiv.Perm.cycleType_one", "Equiv.Perm.cycleType_prime_order", "Equiv.Perm.cycle_induction_on", "Equiv.Perm.cycle_is_cycleOf", "Equiv.Perm.decomposeFin.symm_sign", "Equiv.Perm.decomposeFin_symm_apply_one", "Equiv.Perm.decomposeFin_symm_apply_succ", "Equiv.Perm.decomposeFin_symm_apply_zero", "Equiv.Perm.decomposeFin_symm_of_one", "Equiv.Perm.decomposeFin_symm_of_refl", "Equiv.Perm.decomposeOption_symm_of_none_apply", "Equiv.Perm.decomposeOption_symm_sign", "Equiv.Perm.disjoint_comm", "Equiv.Perm.disjoint_conj", "Equiv.Perm.disjoint_iff_disjoint_support", "Equiv.Perm.disjoint_iff_eq_or_eq", "Equiv.Perm.disjoint_inv_left_iff", "Equiv.Perm.disjoint_inv_right_iff", "Equiv.Perm.disjoint_mul_inv_of_mem_cycleFactorsFinset", "Equiv.Perm.disjoint_one_left", "Equiv.Perm.disjoint_one_right", "Equiv.Perm.disjoint_prod_perm", "Equiv.Perm.disjoint_prod_right", "Equiv.Perm.disjoint_refl_iff", "Equiv.Perm.eq_inv_iff_eq", "Equiv.Perm.eq_of_prodExtendRight_ne", "Equiv.Perm.eq_on_support_mem_disjoint", "Equiv.Perm.eq_sign_of_surjective_hom", "Equiv.Perm.exists_fixed_point_of_prime", "Equiv.Perm.exists_fixed_point_of_prime'", "Equiv.Perm.exists_mem_support_of_mem_support_prod", "Equiv.Perm.exists_with_cycleType_iff", "Equiv.Perm.ext", "Equiv.Perm.ext_iff", "Equiv.Perm.extendDomain_apply_image", "Equiv.Perm.extendDomain_apply_not_subtype", "Equiv.Perm.extendDomain_apply_subtype", "Equiv.Perm.extendDomain_eq_one_iff", "Equiv.Perm.extendDomain_mul", "Equiv.Perm.extendDomain_one", "Equiv.Perm.extendDomain_refl", "Equiv.Perm.extendDomain_trans", "Equiv.Perm.filter_parts_partition_eq_cycleType", "Equiv.Perm.finRotate_bit1_mem_alternatingGroup", "Equiv.Perm.fin_5_not_solvable", "Equiv.Perm.fixed_point_card_lt_of_ne_one", "Equiv.Perm.formPerm_toList", "Equiv.Perm.fst_prodExtendRight", "Equiv.Perm.get_toList", "Equiv.Perm.inv_apply_self", "Equiv.Perm.inv_aux", "Equiv.Perm.inv_def", "Equiv.Perm.inv_eq_iff_eq", "Equiv.Perm.isConj_iff_cycleType_eq", "Equiv.Perm.isConj_of_cycleType_eq", "Equiv.Perm.isConj_of_support_equiv", "Equiv.Perm.isConj_swap", "Equiv.Perm.isCycleOn_inv", "Equiv.Perm.isCycleOn_one", "Equiv.Perm.isCycleOn_singleton", "Equiv.Perm.isCycleOn_support_cycleOf", "Equiv.Perm.isCycleOn_swap", "Equiv.Perm.isCycle_cycleOf", "Equiv.Perm.isCycle_cycleOf_iff", "Equiv.Perm.isCycle_iff_exists_isCycleOn", "Equiv.Perm.isCycle_iff_sameCycle", "Equiv.Perm.isCycle_of_prime_order", "Equiv.Perm.isCycle_of_prime_order'", "Equiv.Perm.isCycle_of_prime_order''", "Equiv.Perm.isCycle_swap", "Equiv.Perm.isCycle_swap_mul_aux\u2081", "Equiv.Perm.isCycle_swap_mul_aux\u2082", "Equiv.Perm.isThreeCycle_sq_of_three_mem_cycleType_five", "Equiv.Perm.isThreeCycle_swap_mul_swap_same", "Equiv.Perm.lcm_cycleType", "Equiv.Perm.le_card_support_of_mem_cycleType", "Equiv.Perm.length_toList", "Equiv.Perm.list_cycles_perm_list_cycles", "Equiv.Perm.map_finRange_perm", "Equiv.Perm.mclosure_isSwap", "Equiv.Perm.mclosure_swap_castSucc_succ", "Equiv.Perm.mem_alternatingGroup", "Equiv.Perm.mem_cycleFactorsFinset_iff", "Equiv.Perm.mem_cycleFactorsFinset_support_le", "Equiv.Perm.mem_cycleType_iff", "Equiv.Perm.mem_finPairsLT", "Equiv.Perm.mem_iff_ofSubtype_apply_mem", "Equiv.Perm.mem_list_cycles_iff", "Equiv.Perm.mem_sumCongrHom_range_of_perm_mapsTo_inl", "Equiv.Perm.mem_support", "Equiv.Perm.mem_support_cycleOf_iff", "Equiv.Perm.mem_support_cycleOf_iff'", "Equiv.Perm.mem_support_swap_mul_imp_mem_support_ne", "Equiv.Perm.mem_toList_iff", "Equiv.Perm.mul_apply", "Equiv.Perm.mul_def", "Equiv.Perm.mul_refl", "Equiv.Perm.mul_symm", "Equiv.Perm.ne_and_ne_of_swap_mul_apply_ne_self", "Equiv.Perm.next_toList_eq_apply", "Equiv.Perm.nodup_of_pairwise_disjoint", "Equiv.Perm.nodup_toCycle", "Equiv.Perm.nodup_toList", "Equiv.Perm.nontrivial_toCycle", "Equiv.Perm.not_isCycle_one", "Equiv.Perm.not_mem_support", "Equiv.Perm.not_solvable", "Equiv.Perm.nthLe_toList", "Equiv.Perm.ofFn_comp_perm", "Equiv.Perm.ofSubtype_apply_coe", "Equiv.Perm.ofSubtype_apply_of_mem", "Equiv.Perm.ofSubtype_apply_of_not_mem", "Equiv.Perm.ofSubtype_subtypePerm", "Equiv.Perm.ofSubtype_swap_eq", "Equiv.Perm.one_apply", "Equiv.Perm.one_def", "Equiv.Perm.one_lt_card_support_of_ne_one", "Equiv.Perm.one_lt_of_mem_cycleType", "Equiv.Perm.one_symm", "Equiv.Perm.one_trans", "Equiv.Perm.orderOf_cycleOf_dvd_orderOf", "Equiv.Perm.partition_eq_of_isConj", "Equiv.Perm.permCongr_eq_mul", "Equiv.Perm.perm_inv_mapsTo_iff_mapsTo", "Equiv.Perm.perm_inv_mapsTo_of_mapsTo", "Equiv.Perm.perm_inv_on_of_perm_on_finset", "Equiv.Perm.perm_mapsTo_inl_iff_mapsTo_inr", "Equiv.Perm.pow_apply_eq_of_apply_apply_eq_self", "Equiv.Perm.pow_apply_eq_self_of_apply_eq_self", "Equiv.Perm.pow_apply_mem_support", "Equiv.Perm.pow_apply_mem_toList_iff_mem_support", "Equiv.Perm.pow_aux", "Equiv.Perm.pow_eq_on_of_mem_support", "Equiv.Perm.pow_mod_card_support_cycleOf_self_apply", "Equiv.Perm.pow_mod_orderOf_cycleOf_apply", "Equiv.Perm.preimage_inv", "Equiv.Perm.prodExtendRight_apply_eq", "Equiv.Perm.prodExtendRight_apply_ne", "Equiv.Perm.prod_comp", "Equiv.Perm.prod_comp'", "Equiv.Perm.prod_list_swap_mem_alternatingGroup_iff_even_length", "Equiv.Perm.prod_prodExtendRight", "Equiv.Perm.refl_inv", "Equiv.Perm.refl_mul", "Equiv.Perm.sameCycle_apply_left", "Equiv.Perm.sameCycle_comm", "Equiv.Perm.sameCycle_conj", "Equiv.Perm.sameCycle_extendDomain", "Equiv.Perm.sameCycle_inv", "Equiv.Perm.sameCycle_inv_apply_left", "Equiv.Perm.sameCycle_inv_apply_right", "Equiv.Perm.sameCycle_one", "Equiv.Perm.sameCycle_pow_left", "Equiv.Perm.sameCycle_pow_right", "Equiv.Perm.sameCycle_subtypePerm", "Equiv.Perm.sameCycle_zpow_left", "Equiv.Perm.sameCycle_zpow_right", "Equiv.Perm.self_trans_inv", "Equiv.Perm.set_support_apply_mem", "Equiv.Perm.set_support_inv_eq", "Equiv.Perm.set_support_mul_subset", "Equiv.Perm.set_support_zpow_subset", "Equiv.Perm.sigmaCongrRightHom.card_range", "Equiv.Perm.sigmaCongrRightHom_injective", "Equiv.Perm.sigmaCongrRight_inv", "Equiv.Perm.sigmaCongrRight_mul", "Equiv.Perm.sigmaCongrRight_one", "Equiv.Perm.sigmaCongrRight_refl", "Equiv.Perm.sigmaCongrRight_symm", "Equiv.Perm.sigmaCongrRight_trans", "Equiv.Perm.signAux3_mul_and_swap", "Equiv.Perm.signAux3_symm_trans_trans", "Equiv.Perm.signAux_eq_signAux2", "Equiv.Perm.signAux_inv", "Equiv.Perm.signAux_mul", "Equiv.Perm.signAux_one", "Equiv.Perm.signAux_swap", "Equiv.Perm.signAux_swap_zero_one", "Equiv.Perm.signAux_swap_zero_one'", "Equiv.Perm.signBijAux_injOn", "Equiv.Perm.signBijAux_mem", "Equiv.Perm.signBijAux_surj", "Equiv.Perm.sign_abs", "Equiv.Perm.sign_eq_sign_of_equiv", "Equiv.Perm.sign_extendDomain", "Equiv.Perm.sign_inv", "Equiv.Perm.sign_ofSubtype", "Equiv.Perm.sign_of_cycleType", "Equiv.Perm.sign_of_cycleType'", "Equiv.Perm.sign_one", "Equiv.Perm.sign_prodCongrLeft", "Equiv.Perm.sign_prodCongrRight", "Equiv.Perm.sign_prodExtendRight", "Equiv.Perm.sign_prod_list_swap", "Equiv.Perm.sign_subtypeCongr", "Equiv.Perm.sign_subtypePerm", "Equiv.Perm.sign_sumCongr", "Equiv.Perm.sign_surjective", "Equiv.Perm.sign_swap", "Equiv.Perm.sign_swap'", "Equiv.Perm.sign_trans_trans_symm", "Equiv.Perm.smul_def", "Equiv.Perm.subgroup_eq_top_of_swap_mem", "Equiv.Perm.subsingleton_eq_refl", "Equiv.Perm.subtypeCongr.apply", "Equiv.Perm.subtypeCongr.left_apply_subtype", "Equiv.Perm.subtypeCongr.symm", "Equiv.Perm.subtypeCongr.trans", "Equiv.Perm.subtypeCongrHom.card_range", "Equiv.Perm.subtypeCongrHom_injective", "Equiv.Perm.subtypeEquivSubtypePerm_apply_of_mem", "Equiv.Perm.subtypePermOfFintype_one", "Equiv.Perm.subtypePerm_inv", "Equiv.Perm.subtypePerm_mul", "Equiv.Perm.subtypePerm_ofSubtype", "Equiv.Perm.subtypePerm_one", "Equiv.Perm.subtypePerm_pow", "Equiv.Perm.subtypePerm_zpow", "Equiv.Perm.sumCongrHom_injective", "Equiv.Perm.sumCongr_apply", "Equiv.Perm.sumCongr_inv", "Equiv.Perm.sumCongr_one_swap", "Equiv.Perm.sumCongr_refl_swap", "Equiv.Perm.sumCongr_swap_one", "Equiv.Perm.sumCongr_swap_refl", "Equiv.Perm.sumCongr_symm", "Equiv.Perm.sumCongr_trans", "Equiv.Perm.sum_cycleType", "Equiv.Perm.support_congr", "Equiv.Perm.support_conj", "Equiv.Perm.support_cycleOf_eq_nil_iff", "Equiv.Perm.support_cycleOf_le", "Equiv.Perm.support_cycleOf_nonempty", "Equiv.Perm.support_eq_empty_iff", "Equiv.Perm.support_extend_domain", "Equiv.Perm.support_inv", "Equiv.Perm.support_le_prod_of_mem", "Equiv.Perm.support_mul_le", "Equiv.Perm.support_one", "Equiv.Perm.support_pow_coprime", "Equiv.Perm.support_pow_le", "Equiv.Perm.support_prod_le", "Equiv.Perm.support_prod_of_pairwise_disjoint", "Equiv.Perm.support_refl", "Equiv.Perm.support_subtype_perm", "Equiv.Perm.support_swap", "Equiv.Perm.support_swap_iff", "Equiv.Perm.support_swap_mul_eq", "Equiv.Perm.support_swap_mul_ge_support_diff", "Equiv.Perm.support_swap_mul_swap", "Equiv.Perm.support_zpow_le", "Equiv.Perm.swap_induction_on", "Equiv.Perm.swap_induction_on'", "Equiv.Perm.swap_mul_swap_same_mem_closure_three_cycles", "Equiv.Perm.toCycle_eq_toList", "Equiv.Perm.toList_formPerm_isRotated_self", "Equiv.Perm.toList_formPerm_nontrivial", "Equiv.Perm.toList_get_zero", "Equiv.Perm.toList_ne_singleton", "Equiv.Perm.toList_nthLe_zero", "Equiv.Perm.toList_one", "Equiv.Perm.toList_pow_apply_eq_rotate", "Equiv.Perm.trans_one", "Equiv.Perm.two_dvd_card_support", "Equiv.Perm.two_le_card_support_cycleOf_iff", "Equiv.Perm.two_le_card_support_of_ne_one", "Equiv.Perm.two_le_of_mem_cycleType", "Equiv.Perm.viaEmbeddingHom_apply", "Equiv.Perm.viaEmbeddingHom_injective", "Equiv.Perm.viaEmbedding_apply_of_not_mem", "Equiv.Perm.viaFintypeEmbedding_apply_image", "Equiv.Perm.viaFintypeEmbedding_apply_mem_range", "Equiv.Perm.viaFintypeEmbedding_apply_not_mem_range", "Equiv.Perm.viaFintypeEmbedding_sign", "Equiv.Perm.zpow_apply_comm", "Equiv.Perm.zpow_apply_eq_of_apply_apply_eq_self", "Equiv.Perm.zpow_apply_eq_self_of_apply_eq_self", "Equiv.Perm.zpow_apply_mem_support", "Equiv.Perm.zpow_aux", "Equiv.Set.image_symm_apply", "Equiv.Set.insert_apply_left", "Equiv.Set.rangeInr_apply_inr", "Equiv.Set.sumCompl_apply_inl", "Equiv.Set.sumCompl_apply_inr", "Equiv.Set.sumCompl_symm_apply_compl", "Equiv.Set.sumCompl_symm_apply_of_mem", "Equiv.Set.sumCompl_symm_apply_of_not_mem", "Equiv.Set.sumDiffSubset_apply_inl", "Equiv.Set.sumDiffSubset_apply_inr", "Equiv.Set.sumDiffSubset_symm_apply_of_mem", "Equiv.Set.sumDiffSubset_symm_apply_of_not_mem", "Equiv.Set.union_apply_left", "Equiv.Set.union_apply_right", "Equiv.Set.union_symm_apply_right", "Equiv.addLeft_add", "Equiv.addRight_add", "Equiv.addRight_zero", "Equiv.algEquiv_apply", "Equiv.algEquiv_symm_apply", "Equiv.algebraMap_def", "Equiv.apply_eq_iff_eq", "Equiv.apply_eq_iff_eq_symm_apply", "Equiv.apply_ofInjective_symm", "Equiv.apply_swap_eq_self", "Equiv.apply_symm_apply", "Equiv.arrowCongr'_refl", "Equiv.arrowCongr'_symm", "Equiv.arrowCongr_comp", "Equiv.arrowCongr_symm", "Equiv.arrowCongr_trans", "Equiv.biInf_comp", "Equiv.biSup_comp", "Equiv.bijOn", "Equiv.bijOn'", "Equiv.bijOn_image", "Equiv.bijOn_swap", "Equiv.bijOn_symm", "Equiv.bijective", "Equiv.bijective_comp", "Equiv.cast_apply", "Equiv.cast_eq_iff_heq", "Equiv.cast_refl", "Equiv.cast_symm", "Equiv.cast_trans", "Equiv.coe_constVAdd", "Equiv.coe_embeddingFinSucc_symm", "Equiv.coe_fn_mk", "Equiv.coe_fn_symm_mk", "Equiv.coe_inj", "Equiv.coe_mulRight", "Equiv.coe_ofInjective_symm", "Equiv.coe_optionSubtype_apply_apply", "Equiv.coe_piCongr'", "Equiv.coe_piCongr_symm", "Equiv.coe_prodComm", "Equiv.coe_refl", "Equiv.coe_sigmaUnique", "Equiv.coe_subtypeEquivCodomain", "Equiv.coe_subtypeEquivCodomain_symm", "Equiv.coe_subtypeEquiv_eq_map", "Equiv.coe_toEmbedding", "Equiv.coe_trans", "Equiv.coe_uniqueProd", "Equiv.coe_vaddConst", "Equiv.comp_bijective", "Equiv.comp_map", "Equiv.comp_surjective", "Equiv.comp_swap_eq_update", "Equiv.comp_traverse", "Equiv.congr_arg", "Equiv.congr_fun", "Equiv.conj_comp", "Equiv.conj_refl", "Equiv.conj_trans", "Equiv.constVAdd_add", "Equiv.divLeft_eq_inv_trans_mulLeft", "Equiv.divRight_eq_mulRight_inv", "Equiv.div_def", "Equiv.embeddingCongr_apply_trans", "Equiv.embeddingCongr_refl", "Equiv.embeddingCongr_symm", "Equiv.emptySum_apply_inr", "Equiv.eq_comp_symm", "Equiv.eq_image_iff_symm_image_eq", "Equiv.eq_preimage_iff_image_eq", "Equiv.eq_symm_apply", "Equiv.eq_symm_comp", "Equiv.equivCongr_apply_apply", "Equiv.equivCongr_refl", "Equiv.equivCongr_refl_left", "Equiv.equivCongr_refl_right", "Equiv.equivCongr_trans", "Equiv.existsUnique_congr", "Equiv.existsUnique_congr_left", "Equiv.existsUnique_congr_right", "Equiv.exists_congr'", "Equiv.exists_congr_left", "Equiv.exists_congr_right", "Equiv.ext", "Equiv.ext_iff", "Equiv.extendSubtype_apply_of_mem", "Equiv.extendSubtype_apply_of_not_mem", "Equiv.extendSubtype_not_mem", "Equiv.finite_iff", "Equiv.finsetCongr_apply", "Equiv.finsetCongr_refl", "Equiv.finsetCongr_symm", "Equiv.finsetCongr_trans", "Equiv.forall_congr", "Equiv.forall_congr_right", "Equiv.forall\u2082_congr", "Equiv.forall\u2082_congr'", "Equiv.forall\u2083_congr", "Equiv.forall\u2083_congr'", "Equiv.hasProd_iff", "Equiv.hasProd_iff_of_mulSupport", "Equiv.iInf_comp", "Equiv.iInf_congr", "Equiv.iSup_comp", "Equiv.iSup_congr", "Equiv.id_map", "Equiv.id_traverse", "Equiv.image_compl", "Equiv.image_eq_iff_bijOn", "Equiv.image_eq_iff_eq", "Equiv.image_preimage", "Equiv.image_subset", "Equiv.image_symm_image", "Equiv.induced_symm", "Equiv.injective", "Equiv.injective_comp", "Equiv.injective_pointReflection_left_of_injective_bit0", "Equiv.inv_addLeft", "Equiv.inv_addRight", "Equiv.inv_def", "Equiv.inv_mulRight", "Equiv.inv_symm", "Equiv.isDomain", "Equiv.isEmpty", "Equiv.isEmpty_congr", "Equiv.isLawfulTraversable'", "Equiv.isSMulRegular_congr", "Equiv.lawfulFunctor", "Equiv.left_inv'", "Equiv.left_vsub_pointReflection", "Equiv.lieModule_isNilpotent_iff", "Equiv.locallyFinite_comp_iff", "Equiv.mapMatrix_refl", "Equiv.mapMatrix_symm", "Equiv.mapMatrix_trans", "Equiv.mulEquiv_symm_apply", "Equiv.mulLeft_mul", "Equiv.mulLeft_symm_apply", "Equiv.mulRight_symm", "Equiv.mulRight_symm_apply", "Equiv.mul_def", "Equiv.mul_swap_eq_iff", "Equiv.mul_swap_eq_swap_mul", "Equiv.mul_swap_mul_self", "Equiv.multipliable_iff", "Equiv.multipliable_iff_of_mulSupport", "Equiv.naturality", "Equiv.nonempty", "Equiv.nonempty_congr", "Equiv.ofBijective_symm_apply_apply", "Equiv.ofFiberEquiv_map", "Equiv.ofInjective_symm_apply", "Equiv.ofLeftInverse'_eq_ofInjective", "Equiv.ofLeftInverse_eq_ofInjective", "Equiv.ofPreimageEquiv_map", "Equiv.one_def", "Equiv.optionCongr_one", "Equiv.optionCongr_sign", "Equiv.optionCongr_swap", "Equiv.optionCongr_symm", "Equiv.optionCongr_trans", "Equiv.optionEquivSumPUnit_none", "Equiv.optionEquivSumPUnit_some", "Equiv.optionSubtypeNe_none", "Equiv.optionSubtypeNe_some", "Equiv.optionSubtypeNe_symm_of_ne", "Equiv.optionSubtypeNe_symm_self", "Equiv.optionSubtype_apply_apply", "Equiv.optionSubtype_symm_apply_apply_some", "Equiv.optionSubtype_symm_apply_symm_apply", "Equiv.option_symm_apply_none_iff", "Equiv.permCongr_apply", "Equiv.permCongr_def", "Equiv.permCongr_refl", "Equiv.permCongr_symm", "Equiv.permCongr_symm_apply", "Equiv.permCongr_trans", "Equiv.piComm_symm", "Equiv.piCongr'_symm_apply_symm_apply", "Equiv.piCongrLeft'_symm", "Equiv.piCongrLeft'_symm_apply_apply", "Equiv.piCongrLeft_apply", "Equiv.piCongrLeft_apply_apply", "Equiv.piCongrLeft_apply_eq_cast", "Equiv.piCongrLeft_preimage_pi", "Equiv.piCongrLeft_preimage_univ_pi", "Equiv.piCongrLeft_sum_inl", "Equiv.piCongrLeft_sum_inr", "Equiv.piCongrLeft_symm_apply", "Equiv.piCongrLeft_symm_preimage_pi", "Equiv.piCongr_apply_apply", "Equiv.piCongr_symm_apply", "Equiv.piCurry_apply", "Equiv.pointReflection_apply", "Equiv.pointReflection_fixed_iff_of_injective_bit0", "Equiv.pointReflection_involutive", "Equiv.pointReflection_midpoint_left", "Equiv.pointReflection_symm", "Equiv.pointReflection_vsub_right", "Equiv.polishSpace_induced", "Equiv.pow_addLeft", "Equiv.pow_addRight", "Equiv.pow_def", "Equiv.pow_mulLeft", "Equiv.pow_mulRight", "Equiv.preimage_piEquivPiSubtypeProd_symm_pi", "Equiv.preimage_subset", "Equiv.prodComm_apply", "Equiv.prodComm_symm", "Equiv.prodCongrLeft_apply", "Equiv.prodCongrLeft_trans_prodComm", "Equiv.prodCongrRight_apply", "Equiv.prodCongr_refl_left", "Equiv.prodCongr_symm", "Equiv.prodProdProdComm_symm", "Equiv.prodSumDistrib_apply_left", "Equiv.prodSumDistrib_apply_right", "Equiv.prodSumDistrib_symm_apply_left", "Equiv.prodSumDistrib_symm_apply_right", "Equiv.prodUnique_apply", "Equiv.prodUnique_symm_apply", "Equiv.prod_assoc_preimage", "Equiv.prod_assoc_symm_image", "Equiv.prod_assoc_symm_preimage", "Equiv.prod_comp", "Equiv.psigmaCongrRight_trans", "Equiv.range_eq_univ", "Equiv.refl_apply", "Equiv.refl_symm", "Equiv.refl_toEmbedding", "Equiv.refl_toPartialEquiv", "Equiv.removeNone_aux_inv", "Equiv.removeNone_aux_none", "Equiv.removeNone_aux_some", "Equiv.removeNone_none", "Equiv.removeNone_some", "Equiv.removeNone_symm", "Equiv.rightInverse_symm", "Equiv.right_inv'", "Equiv.right_vsub_pointReflection", "Equiv.ringEquiv_apply", "Equiv.ringEquiv_symm_apply", "Equiv.self_comp_ofInjective_symm", "Equiv.self_comp_symm", "Equiv.self_trans_symm", "Equiv.semiconj\u2082_conj", "Equiv.setOf_apply_symm_eq_image_setOf", "Equiv.setValue_eq", "Equiv.set_finite_iff", "Equiv.sigmaCongrRight_refl", "Equiv.sigmaCongrRight_sigmaEquivProd", "Equiv.sigmaCongrRight_trans", "Equiv.sigmaEquivProd_sigmaCongrRight", "Equiv.sigmaUnique_apply", "Equiv.sigmaUnique_symm_apply", "Equiv.simpleGraph_trans", "Equiv.some_removeNone_iff", "Equiv.subset_symm_image", "Equiv.subsingleton", "Equiv.subsingleton_congr", "Equiv.subtypeEquivCodomain_apply", "Equiv.subtypeEquivCodomain_symm_apply", "Equiv.subtypeEquivCodomain_symm_apply_eq", "Equiv.subtypeEquivCodomain_symm_apply_ne", "Equiv.subtypeEquivRight_apply", "Equiv.subtypeEquiv_apply", "Equiv.subtypeEquiv_symm", "Equiv.subtypeEquiv_trans", "Equiv.subtypePreimage_symm_apply_coe_neg", "Equiv.subtypeQuotientEquivQuotientSubtype_mk", "Equiv.subtypeQuotientEquivQuotientSubtype_symm_mk", "Equiv.succ_embeddingFinSucc_fst_symm_apply", "Equiv.sumArrowEquivProdArrow_apply_fst", "Equiv.sumArrowEquivProdArrow_apply_snd", "Equiv.sumArrowEquivProdArrow_symm_apply_inl", "Equiv.sumArrowEquivProdArrow_symm_apply_inr", "Equiv.sumAssoc_apply_inl_inl", "Equiv.sumAssoc_apply_inr", "Equiv.sumAssoc_symm_apply_inl", "Equiv.sumAssoc_symm_apply_inr_inr", "Equiv.sumCompl_apply_inl", "Equiv.sumCompl_apply_symm_of_neg", "Equiv.sumCongr_refl", "Equiv.sumCongr_trans", "Equiv.sumPiEquivProdPi_symm_preimage_univ_pi", "Equiv.sumProdDistrib_apply_left", "Equiv.sumProdDistrib_symm_apply_left", "Equiv.surjective", "Equiv.surjective_comp", "Equiv.swapCore_comm", "Equiv.swapCore_swapCore", "Equiv.swap_apply_apply", "Equiv.swap_apply_def", "Equiv.swap_apply_eq_iff", "Equiv.swap_apply_left", "Equiv.swap_apply_ne_self_iff", "Equiv.swap_apply_of_ne_of_ne", "Equiv.swap_apply_right", "Equiv.swap_apply_self", "Equiv.swap_bijOn_exchange", "Equiv.swap_bijOn_self", "Equiv.swap_comm", "Equiv.swap_comp_apply", "Equiv.swap_eq_refl_iff", "Equiv.swap_eq_update", "Equiv.swap_inv", "Equiv.swap_mem_stabilizer", "Equiv.swap_mul_eq_mul_swap", "Equiv.swap_mul_self", "Equiv.swap_mul_swap_mul_swap", "Equiv.swap_self", "Equiv.swap_smul_involutive", "Equiv.swap_smul_self_smul", "Equiv.symm_apply_apply", "Equiv.symm_apply_eq", "Equiv.symm_bijective", "Equiv.symm_comp_eq", "Equiv.symm_comp_self", "Equiv.symm_image_image", "Equiv.symm_image_subset", "Equiv.symm_preimage_preimage", "Equiv.symm_swap", "Equiv.symm_symm", "Equiv.symm_symm_apply", "Equiv.symm_toPartialEquiv", "Equiv.symm_trans_apply", "Equiv.symm_trans_self", "Equiv.symm_trans_swap_trans", "Equiv.toEmbedding_apply", "Equiv.toEmbedding_injective", "Equiv.toFun_as_coe", "Equiv.toFun_inducedStructureEquiv", "Equiv.toFun_inducedStructureEquiv_Symm", "Equiv.toHomeomorph_apply", "Equiv.toHomeomorph_symm", "Equiv.toIso_hom", "Equiv.toIso_inv", "Equiv.toOrderIso_toEquiv", "Equiv.toPEquiv_apply", "Equiv.toPEquiv_refl", "Equiv.toPEquiv_trans", "Equiv.tprod_eq", "Equiv.tprod_eq_tprod_of_mulSupport", "Equiv.transPartialEquiv_eq_trans", "Equiv.transPartialEquiv_trans", "Equiv.trans_apply", "Equiv.trans_assoc", "Equiv.trans_refl", "Equiv.trans_toEmbedding", "Equiv.trans_toPartialEquiv", "Equiv.trans_transPartialEquiv", "Equiv.traverse_def", "Equiv.traverse_eq_map_id", "Equiv.ulift_symm_down", "Equiv.uncountable_iff", "Equiv.uniformEmbedding", "Equiv.uniqueProd_apply", "Equiv.zpow_addLeft", "Equiv.zpow_addRight", "Equiv.zpow_mulRight", "EquivFunctor.mapEquiv.injective", "EquivFunctor.mapEquiv_refl", "EquivFunctor.mapEquiv_symm", "EquivFunctor.mapEquiv_trans", "EquivLike.bijective", "EquivLike.bijective_comp", "EquivLike.coe_symm_apply_apply", "EquivLike.coe_symm_comp_self", "EquivLike.comp_bijective", "EquivLike.comp_surjective", "EquivLike.injective", "EquivLike.injective_comp", "EquivLike.pairwise_comp_iff", "EquivLike.range_comp", "EquivLike.subsingleton_dom", "EquivLike.surjective", "Equivalence.comap", "Equivalence.eqvGen_iff", "Equivalence.quot_mk_eq_iff", "EqvGen.mono", "Erased.bind_def", "Erased.bind_eq_out", "Erased.map_def", "Erased.map_out", "Erased.mk_out", "Erased.out_inj", "Erased.out_mk", "Erased.out_proof", "Erased.pure_def", "Ergodic.ae_empty_or_univ_of_ae_le_preimage'", "Ergodic.ae_empty_or_univ_of_image_ae_le'", "Ergodic.ae_empty_or_univ_of_preimage_ae_le'", "Ergodic.ae_eq_const_of_ae_eq_comp_ae", "Ergodic.ae_eq_const_of_ae_eq_comp\u2080", "Ergodic.eq_const_of_compMeasurePreserving_eq", "Ergodic.quasiErgodic", "EsakiaHom.cancel_left", "EsakiaHom.cancel_right", "EsakiaHom.coe_comp", "EsakiaHom.coe_comp_pseudoEpimorphism", "EsakiaHom.coe_id_continuousOrderHom", "EsakiaHom.coe_id_pseudoEpimorphism", "EsakiaHom.comp_apply", "EsakiaHom.comp_assoc", "EsakiaHom.comp_id", "EsakiaHom.copy_eq", "EsakiaHom.ext", "EsakiaHom.id_comp", "EsakiaHom.toContinuousOrderHom_coe", "EsakiaHom.toFun_eq_coe", "Estimator.improveUntilAux_spec", "Estimator.improveUntil_spec", "Euclidean.ball_eq_preimage", "Euclidean.ball_mem_nhds", "Euclidean.ball_subset_closedBall", "Euclidean.closedBall_eq_preimage", "Euclidean.closedBall_mem_nhds", "Euclidean.closure_ball", "Euclidean.exists_pos_lt_subset_ball", "Euclidean.isCompact_closedBall", "Euclidean.nhds_basis_ball", "EuclideanDomain.div_add_mod", "EuclideanDomain.div_add_mod'", "EuclideanDomain.div_dvd_of_dvd", "EuclideanDomain.div_one", "EuclideanDomain.div_self", "EuclideanDomain.div_zero", "EuclideanDomain.dvd_div_of_mul_dvd", "EuclideanDomain.dvd_gcd", "EuclideanDomain.dvd_lcm_left", "EuclideanDomain.dvd_lcm_right", "EuclideanDomain.dvd_mod_iff", "EuclideanDomain.eq_div_of_mul_eq_left", "EuclideanDomain.eq_div_of_mul_eq_right", "EuclideanDomain.gcdA_zero_left", "EuclideanDomain.gcdB_zero_left", "EuclideanDomain.gcd_dvd", "EuclideanDomain.gcd_dvd_left", "EuclideanDomain.gcd_eq_gcd_ab", "EuclideanDomain.gcd_eq_left", "EuclideanDomain.gcd_eq_zero_iff", "EuclideanDomain.gcd_isUnit_iff", "EuclideanDomain.gcd_mul_lcm", "EuclideanDomain.gcd_one_left", "EuclideanDomain.gcd_self", "EuclideanDomain.gcd_val", "EuclideanDomain.gcd_zero_left", "EuclideanDomain.gcd_zero_right", "EuclideanDomain.isCoprime_of_dvd", "EuclideanDomain.lcm_dvd", "EuclideanDomain.lcm_dvd_iff", "EuclideanDomain.lcm_eq_zero_iff", "EuclideanDomain.lcm_zero_left", "EuclideanDomain.lcm_zero_right", "EuclideanDomain.lt_one", "EuclideanDomain.mod_add_div", "EuclideanDomain.mod_add_div'", "EuclideanDomain.mod_eq_sub_mul_div", "EuclideanDomain.mod_eq_zero", "EuclideanDomain.mod_lt", "EuclideanDomain.mod_one", "EuclideanDomain.mod_self", "EuclideanDomain.mod_zero", "EuclideanDomain.mul_div_assoc", "EuclideanDomain.mul_div_mul_cancel", "EuclideanDomain.mul_div_mul_comm_of_dvd_dvd", "EuclideanDomain.span_gcd", "EuclideanDomain.val_dvd_le", "EuclideanDomain.xgcdAux_P", "EuclideanDomain.xgcdAux_fst", "EuclideanDomain.xgcdAux_rec", "EuclideanDomain.xgcdAux_val", "EuclideanDomain.xgcd_val", "EuclideanDomain.xgcd_zero_left", "EuclideanDomain.zero_div", "EuclideanDomain.zero_mod", "EuclideanGeometry.Cospherical.affineIndependent", "EuclideanGeometry.Cospherical.affineIndependent_of_mem_of_ne", "EuclideanGeometry.Cospherical.affineIndependent_of_ne", "EuclideanGeometry.Cospherical.subset", "EuclideanGeometry.Cospherical.two_zsmul_oangle_eq", "EuclideanGeometry.OrthocentricSystem.affineIndependent", "EuclideanGeometry.OrthocentricSystem.eq_insert_orthocenter", "EuclideanGeometry.OrthocentricSystem.exists_circumradius_eq", "EuclideanGeometry.Sphere.abs_oangle_center_right_toReal_lt_pi_div_two", "EuclideanGeometry.Sphere.center_eq_iff_eq_of_mem", "EuclideanGeometry.Sphere.center_ne_iff_ne_of_mem", "EuclideanGeometry.Sphere.cospherical", "EuclideanGeometry.Sphere.dist_div_cos_oangle_center_div_two_eq_radius", "EuclideanGeometry.Sphere.dist_div_cos_oangle_center_eq_two_mul_radius", "EuclideanGeometry.Sphere.dist_div_sin_oangle_div_two_eq_radius", "EuclideanGeometry.Sphere.dist_div_sin_oangle_eq_two_mul_radius", "EuclideanGeometry.Sphere.eq_or_eq_secondInter_of_mem_mk'_span_singleton_iff_mem", "EuclideanGeometry.Sphere.inv_tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center", "EuclideanGeometry.Sphere.mem_coe", "EuclideanGeometry.Sphere.mem_coe'", "EuclideanGeometry.Sphere.mk_radius", "EuclideanGeometry.Sphere.ne_iff", "EuclideanGeometry.Sphere.oangle_center_eq_two_zsmul_oangle", "EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_left", "EuclideanGeometry.Sphere.oangle_eq_pi_sub_two_zsmul_oangle_center_right", "EuclideanGeometry.Sphere.sbtw_secondInter", "EuclideanGeometry.Sphere.secondInter_collinear", "EuclideanGeometry.Sphere.secondInter_dist", "EuclideanGeometry.Sphere.secondInter_eq_lineMap", "EuclideanGeometry.Sphere.secondInter_eq_self_iff", "EuclideanGeometry.Sphere.secondInter_mem", "EuclideanGeometry.Sphere.secondInter_neg", "EuclideanGeometry.Sphere.secondInter_secondInter", "EuclideanGeometry.Sphere.secondInter_smul", "EuclideanGeometry.Sphere.tan_div_two_smul_rotation_pi_div_two_vadd_midpoint_eq_center", "EuclideanGeometry.Sphere.two_zsmul_oangle_center_add_two_zsmul_oangle_eq_pi", "EuclideanGeometry.Sphere.two_zsmul_oangle_eq", "EuclideanGeometry.Sphere.wbtw_secondInter", "EuclideanGeometry.abs_oangle_left_toReal_lt_pi_div_two_of_dist_eq", "EuclideanGeometry.abs_oangle_right_toReal_lt_pi_div_two_of_dist_eq", "EuclideanGeometry.affineSpan_of_orthocentricSystem", "EuclideanGeometry.angle_add_angle_add_angle_eq_pi", "EuclideanGeometry.angle_add_angle_eq_pi_of_angle_eq_pi", "EuclideanGeometry.angle_comm", "EuclideanGeometry.angle_const_sub", "EuclideanGeometry.angle_const_vsub", "EuclideanGeometry.angle_eq_abs_oangle_toReal", "EuclideanGeometry.angle_eq_angle_of_angle_eq_pi", "EuclideanGeometry.angle_eq_angle_of_angle_eq_pi_of_angle_eq_pi", "EuclideanGeometry.angle_eq_angle_of_dist_eq", "EuclideanGeometry.angle_eq_arccos_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_eq_arcsin_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_eq_arctan_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_eq_pi_div_two_of_oangle_eq_neg_pi_div_two", "EuclideanGeometry.angle_eq_pi_div_two_of_oangle_eq_pi_div_two", "EuclideanGeometry.angle_eq_pi_iff_sbtw", "EuclideanGeometry.angle_eq_zero_iff_eq_and_ne_or_sbtw", "EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtw", "EuclideanGeometry.angle_eq_zero_of_angle_eq_pi_left", "EuclideanGeometry.angle_eq_zero_of_angle_eq_pi_right", "EuclideanGeometry.angle_le_pi", "EuclideanGeometry.angle_le_pi_div_two_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq", "EuclideanGeometry.angle_lt_pi_div_two_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_lt_pi_of_not_collinear", "EuclideanGeometry.angle_midpoint_eq_pi", "EuclideanGeometry.angle_ne_pi_of_not_collinear", "EuclideanGeometry.angle_neg", "EuclideanGeometry.angle_nonneg", "EuclideanGeometry.angle_pos_of_angle_eq_pi_div_two", "EuclideanGeometry.angle_pos_of_not_collinear", "EuclideanGeometry.angle_rev_eq_pi_div_two_of_oangle_eq_neg_pi_div_two", "EuclideanGeometry.angle_rev_eq_pi_div_two_of_oangle_eq_pi_div_two", "EuclideanGeometry.angle_right_midpoint_eq_pi_div_two_of_dist_eq", "EuclideanGeometry.angle_self_left", "EuclideanGeometry.angle_self_of_ne", "EuclideanGeometry.angle_self_right", "EuclideanGeometry.angle_sub_const", "EuclideanGeometry.center_eq_inversion", "EuclideanGeometry.center_eq_inversion'", "EuclideanGeometry.circumradius_eq_of_cospherical", "EuclideanGeometry.circumradius_eq_of_cospherical_subset", "EuclideanGeometry.circumsphere_eq_of_cospherical_subset", "EuclideanGeometry.collinear_iff_eq_or_eq_or_angle_eq_zero_or_angle_eq_pi", "EuclideanGeometry.collinear_iff_of_two_zsmul_oangle_eq", "EuclideanGeometry.collinear_of_angle_eq_pi", "EuclideanGeometry.concyclic_empty", "EuclideanGeometry.concyclic_of_two_zsmul_oangle_eq_of_not_collinear", "EuclideanGeometry.concyclic_or_collinear_of_two_zsmul_oangle_eq", "EuclideanGeometry.concyclic_pair", "EuclideanGeometry.concyclic_singleton", "EuclideanGeometry.continuousAt_angle", "EuclideanGeometry.continuousAt_oangle", "EuclideanGeometry.cos_angle_mul_dist_of_angle_eq_pi_div_two", "EuclideanGeometry.cos_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.cos_eq_neg_one_iff_angle_eq_pi", "EuclideanGeometry.cos_eq_one_iff_angle_eq_zero", "EuclideanGeometry.cos_oangle_left_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.cos_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.cos_oangle_right_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.cos_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.cospherical_def", "EuclideanGeometry.cospherical_empty", "EuclideanGeometry.cospherical_iff_exists_mem_of_complete", "EuclideanGeometry.cospherical_iff_exists_mem_of_finiteDimensional", "EuclideanGeometry.cospherical_iff_exists_sphere", "EuclideanGeometry.cospherical_of_two_zsmul_oangle_eq_of_not_collinear", "EuclideanGeometry.cospherical_or_collinear_of_two_zsmul_oangle_eq", "EuclideanGeometry.cospherical_pair", "EuclideanGeometry.cospherical_singleton", "EuclideanGeometry.dist_affineCombination", "EuclideanGeometry.dist_center_eq_dist_center_of_mem_sphere", "EuclideanGeometry.dist_center_eq_dist_center_of_mem_sphere'", "EuclideanGeometry.dist_center_inversion", "EuclideanGeometry.dist_div_cos_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.dist_div_cos_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_div_cos_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_div_sin_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.dist_div_sin_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_div_sin_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_div_tan_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.dist_div_tan_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_div_tan_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.dist_eq_abs_sub_dist_iff_angle_eq_zero", "EuclideanGeometry.dist_eq_abs_sub_dist_of_angle_eq_zero", "EuclideanGeometry.dist_eq_add_dist_iff_angle_eq_pi", "EuclideanGeometry.dist_eq_add_dist_of_angle_eq_pi", "EuclideanGeometry.dist_eq_iff_dist_orthogonalProjection_eq", "EuclideanGeometry.dist_eq_iff_eq_smul_rotation_pi_div_two_vadd_midpoint", "EuclideanGeometry.dist_eq_of_angle_eq_angle_of_angle_ne_pi", "EuclideanGeometry.dist_inversion_center", "EuclideanGeometry.dist_inversion_inversion", "EuclideanGeometry.dist_inversion_mul_dist_center_eq", "EuclideanGeometry.dist_mul_of_eq_angle_of_dist_mul", "EuclideanGeometry.dist_of_mem_subset_sphere", "EuclideanGeometry.dist_orthogonalProjection_eq_zero_iff", "EuclideanGeometry.dist_orthogonalProjection_ne_zero_of_not_mem", "EuclideanGeometry.dist_reflection", "EuclideanGeometry.dist_reflection_eq_of_mem", "EuclideanGeometry.dist_set_eq_iff_dist_orthogonalProjection_eq", "EuclideanGeometry.dist_smul_vadd_eq_dist", "EuclideanGeometry.dist_smul_vadd_sq", "EuclideanGeometry.dist_sq_add_dist_sq_eq_two_mul_dist_midpoint_sq_add_half_dist_sq", "EuclideanGeometry.dist_sq_eq_dist_orthogonalProjection_sq_add_dist_orthogonalProjection_sq", "EuclideanGeometry.dist_sq_eq_dist_sq_add_dist_sq_iff_angle_eq_pi_div_two", "EuclideanGeometry.dist_sq_eq_dist_sq_add_dist_sq_sub_two_mul_dist_mul_dist_mul_cos_angle", "EuclideanGeometry.dist_sq_mul_dist_add_dist_sq_mul_dist", "EuclideanGeometry.dist_sq_smul_orthogonal_vadd_smul_orthogonal_vadd", "EuclideanGeometry.eq_of_dist_eq_of_dist_eq_of_mem_of_finrank_eq_two", "EuclideanGeometry.eq_of_mem_sphere_of_mem_sphere_of_finrank_eq_two", "EuclideanGeometry.eq_of_mem_sphere_of_mem_sphere_of_mem_of_finrank_eq_two", "EuclideanGeometry.eq_or_eq_reflection_of_dist_eq", "EuclideanGeometry.eq_orthogonalProjection_of_eq_subspace", "EuclideanGeometry.existsUnique_dist_eq_of_insert", "EuclideanGeometry.exists_circumcenter_eq_of_cospherical", "EuclideanGeometry.exists_circumcenter_eq_of_cospherical_subset", "EuclideanGeometry.exists_circumradius_eq_of_cospherical", "EuclideanGeometry.exists_circumradius_eq_of_cospherical_subset", "EuclideanGeometry.exists_circumsphere_eq_of_cospherical", "EuclideanGeometry.exists_circumsphere_eq_of_cospherical_subset", "EuclideanGeometry.exists_dist_eq_circumradius_of_subset_insert_orthocenter", "EuclideanGeometry.exists_dist_eq_iff_exists_dist_orthogonalProjection_eq", "EuclideanGeometry.exists_of_range_subset_orthocentricSystem", "EuclideanGeometry.hasFDerivAt_inversion", "EuclideanGeometry.image_inversion_affineSubspace_of_mem", "EuclideanGeometry.image_inversion_perpBisector", "EuclideanGeometry.image_inversion_sphere_dist_center", "EuclideanGeometry.inner_pos_of_dist_lt_radius", "EuclideanGeometry.inner_pos_or_eq_of_dist_le_radius", "EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq", "EuclideanGeometry.inner_vsub_vsub_of_mem_sphere_of_mem_sphere", "EuclideanGeometry.inner_weightedVSub", "EuclideanGeometry.inter_eq_singleton_orthogonalProjection", "EuclideanGeometry.inter_eq_singleton_orthogonalProjectionFn", "EuclideanGeometry.inversion_bijective", "EuclideanGeometry.inversion_def", "EuclideanGeometry.inversion_dist_center", "EuclideanGeometry.inversion_dist_center'", "EuclideanGeometry.inversion_eq_center", "EuclideanGeometry.inversion_eq_center'", "EuclideanGeometry.inversion_inversion", "EuclideanGeometry.inversion_involutive", "EuclideanGeometry.inversion_mem_perpBisector_inversion_iff", "EuclideanGeometry.inversion_mem_perpBisector_inversion_iff'", "EuclideanGeometry.inversion_mul", "EuclideanGeometry.inversion_of_mem_sphere", "EuclideanGeometry.inversion_self", "EuclideanGeometry.inversion_vsub_center", "EuclideanGeometry.left_dist_ne_zero_of_angle_eq_pi", "EuclideanGeometry.left_ne_of_oangle_eq_pi_div_two", "EuclideanGeometry.left_ne_of_oangle_ne_zero", "EuclideanGeometry.left_ne_of_oangle_sign_eq_one", "EuclideanGeometry.left_ne_right_of_oangle_eq_neg_pi_div_two", "EuclideanGeometry.left_ne_right_of_oangle_eq_pi", "EuclideanGeometry.left_ne_right_of_oangle_ne_zero", "EuclideanGeometry.left_ne_right_of_oangle_sign_eq_neg_one", "EuclideanGeometry.left_ne_right_of_oangle_sign_ne_zero", "EuclideanGeometry.mapsTo_inversion_affineSubspace_of_mem", "EuclideanGeometry.mem_sphere", "EuclideanGeometry.mul_dist_add_mul_dist_eq_mul_dist_of_cospherical", "EuclideanGeometry.mul_dist_eq_abs_sub_sq_dist", "EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical", "EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero", "EuclideanGeometry.mul_dist_le_mul_dist_add_mul_dist", "EuclideanGeometry.oangle_add_cyc3", "EuclideanGeometry.oangle_add_oangle_add_oangle_eq_pi", "EuclideanGeometry.oangle_eq_angle_of_sign_eq_one", "EuclideanGeometry.oangle_eq_neg_angle_of_sign_eq_neg_one", "EuclideanGeometry.oangle_eq_oangle_of_dist_eq", "EuclideanGeometry.oangle_eq_pi_sub_two_zsmul_oangle_of_dist_eq", "EuclideanGeometry.oangle_eq_zero_iff_angle_eq_zero", "EuclideanGeometry.oangle_eq_zero_iff_oangle_rev_eq_zero", "EuclideanGeometry.oangle_eq_zero_or_eq_pi_iff_collinear", "EuclideanGeometry.oangle_left_eq_arccos_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_left_eq_arcsin_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_left_eq_arctan_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_midpoint_left", "EuclideanGeometry.oangle_midpoint_rev_left", "EuclideanGeometry.oangle_midpoint_rev_right", "EuclideanGeometry.oangle_midpoint_right", "EuclideanGeometry.oangle_ne_zero_and_ne_pi_iff_affineIndependent", "EuclideanGeometry.oangle_rev", "EuclideanGeometry.oangle_right_eq_arccos_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_right_eq_arcsin_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_right_eq_arctan_of_oangle_eq_pi_div_two", "EuclideanGeometry.oangle_rotate_sign", "EuclideanGeometry.oangle_self_left_right", "EuclideanGeometry.oangle_sign_eq_zero_iff_collinear", "EuclideanGeometry.oangle_sub_left", "EuclideanGeometry.oangle_swap\u2081\u2082_sign", "EuclideanGeometry.oangle_swap\u2081\u2083_sign", "EuclideanGeometry.oangle_swap\u2082\u2083_sign", "EuclideanGeometry.orthogonalProjectionFn_mem", "EuclideanGeometry.orthogonalProjectionFn_mem_orthogonal", "EuclideanGeometry.orthogonalProjectionFn_vsub_mem_direction_orthogonal", "EuclideanGeometry.orthogonalProjection_eq_self_iff", "EuclideanGeometry.orthogonalProjection_linear", "EuclideanGeometry.orthogonalProjection_mem", "EuclideanGeometry.orthogonalProjection_mem_orthogonal", "EuclideanGeometry.orthogonalProjection_mem_subspace_eq_self", "EuclideanGeometry.orthogonalProjection_orthogonalProjection", "EuclideanGeometry.orthogonalProjection_vadd_eq_self", "EuclideanGeometry.orthogonalProjection_vadd_smul_vsub_orthogonalProjection", "EuclideanGeometry.orthogonalProjection_vsub_mem_direction_orthogonal", "EuclideanGeometry.orthogonalProjection_vsub_orthogonalProjection", "EuclideanGeometry.preimage_inversion_perpBisector", "EuclideanGeometry.preimage_inversion_perpBisector_inversion", "EuclideanGeometry.preimage_inversion_sphere_dist_center", "EuclideanGeometry.reflection_eq_iff_orthogonalProjection_eq", "EuclideanGeometry.reflection_eq_self_iff", "EuclideanGeometry.reflection_involutive", "EuclideanGeometry.reflection_mem_of_le_of_mem", "EuclideanGeometry.reflection_orthogonal_vadd", "EuclideanGeometry.reflection_reflection", "EuclideanGeometry.reflection_symm", "EuclideanGeometry.reflection_vadd_smul_vsub_orthogonalProjection", "EuclideanGeometry.right_dist_ne_zero_of_angle_eq_pi", "EuclideanGeometry.right_ne_of_oangle_eq_pi", "EuclideanGeometry.right_ne_of_oangle_eq_pi_div_two", "EuclideanGeometry.right_ne_of_oangle_sign_eq_neg_one", "EuclideanGeometry.right_ne_of_oangle_sign_eq_one", "EuclideanGeometry.right_ne_of_oangle_sign_ne_zero", "EuclideanGeometry.sin_angle_mul_dist_of_angle_eq_pi_div_two", "EuclideanGeometry.sin_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.sin_eq_zero_iff_angle_eq_zero_or_angle_eq_pi", "EuclideanGeometry.sin_ne_zero_of_not_collinear", "EuclideanGeometry.sin_oangle_left_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.sin_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.sin_oangle_right_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.sin_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.tan_angle_mul_dist_of_angle_eq_pi_div_two", "EuclideanGeometry.tan_angle_of_angle_eq_pi_div_two", "EuclideanGeometry.tan_oangle_left_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.tan_oangle_left_of_oangle_eq_pi_div_two", "EuclideanGeometry.tan_oangle_right_mul_dist_of_oangle_eq_pi_div_two", "EuclideanGeometry.tan_oangle_right_of_oangle_eq_pi_div_two", "EuclideanGeometry.two_zsmul_oangle_of_vectorSpan_eq", "EuclideanGeometry.vsub_orthogonalProjection_mem_direction", "EuclideanGeometry.vsub_orthogonalProjection_mem_direction_orthogonal", "EuclideanGeometry.wbtw_of_collinear_of_dist_center_le_radius", "EuclideanHalfSpace.ext", "EuclideanSpace.ball_zero_eq", "EuclideanSpace.basisFun_apply", "EuclideanSpace.basisFun_repr", "EuclideanSpace.basisFun_toBasis", "EuclideanSpace.closedBall_zero_eq", "EuclideanSpace.coe_measurableEquiv_symm", "EuclideanSpace.dist_single_same", "EuclideanSpace.edist_eq", "EuclideanSpace.edist_single_same", "EuclideanSpace.inner_eq_star_dotProduct", "EuclideanSpace.inner_piLp_equiv_symm", "EuclideanSpace.inner_single_left", "EuclideanSpace.inner_single_right", "EuclideanSpace.nndist_eq", "EuclideanSpace.nnnorm_eq", "EuclideanSpace.nnnorm_single", "EuclideanSpace.norm_eq", "EuclideanSpace.norm_single", "EuclideanSpace.orthonormal_single", "EuclideanSpace.piLpCongrLeft_single", "EuclideanSpace.single_apply", "EuclideanSpace.sphere_zero_eq", "EuclideanSpace.volume_ball", "EuclideanSpace.volume_closedBall", "EuclideanSpace.volume_preserving_measurableEquiv", "EulerProduct.eulerProduct", "EulerProduct.eulerProduct_completely_multiplicative", "EulerProduct.eulerProduct_completely_multiplicative_hasProd", "EulerProduct.eulerProduct_completely_multiplicative_tprod", "EulerProduct.eulerProduct_hasProd", "EulerProduct.eulerProduct_hasProd_mulIndicator", "EulerProduct.eulerProduct_tprod", "EulerProduct.norm_tsum_factoredNumbers_sub_tsum_lt", "EulerProduct.norm_tsum_smoothNumbers_sub_tsum_lt", "EulerProduct.one_sub_inv_eq_geometric_of_summable_norm", "EulerProduct.prod_primesBelow_geometric_eq_tsum_smoothNumbers", "EulerProduct.prod_primesBelow_tsum_eq_tsum_smoothNumbers", "EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_geometric", "EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsum", "EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_geometric", "EulerProduct.summable_and_hasSum_smoothNumbers_prod_primesBelow_tsum", "EulerSine.antideriv_cos_comp_const_mul", "EulerSine.antideriv_sin_comp_const_mul", "EulerSine.integral_cos_mul_cos_pow", "EulerSine.integral_cos_mul_cos_pow_aux", "EulerSine.integral_cos_mul_cos_pow_even", "EulerSine.integral_cos_pow_eq", "EulerSine.integral_cos_pow_pos", "EulerSine.integral_sin_mul_sin_mul_cos_pow_eq", "EulerSine.sin_pi_mul_eq", "EulerSine.tendsto_integral_cos_pow_mul_div", "Even.add_odd", "Even.add_one", "Even.add_pow_le", "Even.convexOn_pow", "Even.isSquare_pow", "Even.isSquare_zpow", "Even.mod_even", "Even.mod_even_iff", "Even.mul_left", "Even.mul_right", "Even.natCast", "Even.neg_one_pow", "Even.neg_one_zpow", "Even.neg_pow", "Even.neg_zpow", "Even.odd_add", "Even.one_add", "Even.pow_abs", "Even.pow_nonneg", "Even.pow_of_ne_zero", "Even.pow_pos_iff", "Even.strictConvexOn_pow", "Even.sub_odd", "Even.trans_dvd", "Even.tsub", "Even.zpow_abs", "Even.zpow_nonneg", "Even.zpow_pos", "Even.zpow_pos_iff", "EventuallyEq.countable_bInter", "EventuallyEq.countable_bUnion", "EventuallyEq.countable_iInter", "EventuallyEq.countable_iUnion", "EventuallyLE.countable_bInter", "EventuallyLE.countable_bUnion", "EventuallyLE.countable_iInter", "EventuallyMeasurable.congr", "ExceptT.goto_mkLabel", "ExceptT.run_monadLift", "ExceptT.run_monadMap", "Exists.choose_spec", "Exists.elim", "Exists.fst", "Exists.imp", "ExistsContDiffBumpBase.u_compact_support", "ExistsContDiffBumpBase.u_continuous", "ExistsContDiffBumpBase.u_exists", "ExistsContDiffBumpBase.u_int_pos", "ExistsContDiffBumpBase.u_le_one", "ExistsContDiffBumpBase.u_nonneg", "ExistsContDiffBumpBase.u_smooth", "ExistsContDiffBumpBase.u_support", "ExistsContDiffBumpBase.w_compact_support", "ExistsContDiffBumpBase.w_def", "ExistsContDiffBumpBase.w_integral", "ExistsContDiffBumpBase.w_mul_\u03c6_nonneg", "ExistsContDiffBumpBase.w_nonneg", "ExistsContDiffBumpBase.w_support", "ExistsContDiffBumpBase.y_eq_one_of_mem_closedBall", "ExistsContDiffBumpBase.y_eq_zero_of_not_mem_ball", "ExistsContDiffBumpBase.y_le_one", "ExistsContDiffBumpBase.y_neg", "ExistsContDiffBumpBase.y_nonneg", "ExistsContDiffBumpBase.y_pos_of_mem_ball", "ExistsContDiffBumpBase.y_smooth", "ExistsContDiffBumpBase.y_support", "ExistsUnique.elim\u2082", "ExistsUnique.exists", "ExistsUnique.exists\u2082", "ExistsUnique.intro", "ExistsUnique.intro\u2082", "ExistsUnique.unique", "ExistsUnique.unique\u2082", "Exists\u2082.imp", "ExpChar.congr", "ExpChar.eq", "ExpChar.exists", "ExpChar.exists_unique", "ExpChar.neg_one_pow_expChar", "ExpChar.neg_one_pow_expChar_pow", "ExpChar.pow_prime_pow_mul_eq_one_iff", "ExteriorAlgebra.GradedAlgebra.lift\u03b9_eq", "ExteriorAlgebra.GradedAlgebra.\u03b9_apply", "ExteriorAlgebra.GradedAlgebra.\u03b9_sq_zero", "ExteriorAlgebra.algebraMap_eq_one_iff", "ExteriorAlgebra.algebraMap_eq_zero_iff", "ExteriorAlgebra.algebraMap_inj", "ExteriorAlgebra.algebraMap_leftInverse", "ExteriorAlgebra.comp_\u03b9_sq_zero", "ExteriorAlgebra.hom_ext", "ExteriorAlgebra.induction", "ExteriorAlgebra.isUnit_algebraMap", "ExteriorAlgebra.lhom_ext", "ExteriorAlgebra.liftAlternating_algebraMap", "ExteriorAlgebra.liftAlternating_apply_\u03b9Multi", "ExteriorAlgebra.liftAlternating_comp", "ExteriorAlgebra.liftAlternating_comp_\u03b9Multi", "ExteriorAlgebra.liftAlternating_one", "ExteriorAlgebra.liftAlternating_\u03b9", "ExteriorAlgebra.liftAlternating_\u03b9Multi", "ExteriorAlgebra.liftAlternating_\u03b9_mul", "ExteriorAlgebra.lift_comp_\u03b9", "ExteriorAlgebra.map_apply_\u03b9", "ExteriorAlgebra.map_apply_\u03b9Multi", "ExteriorAlgebra.map_comp_\u03b9", "ExteriorAlgebra.map_comp_\u03b9Multi", "ExteriorAlgebra.map_injective", "ExteriorAlgebra.map_injective_field", "ExteriorAlgebra.map_surjective_iff", "ExteriorAlgebra.toTrivSqZeroExt_comp_map", "ExteriorAlgebra.toTrivSqZeroExt_\u03b9", "ExteriorAlgebra.\u03b9Inv_comp_map", "ExteriorAlgebra.\u03b9Multi_range", "ExteriorAlgebra.\u03b9Multi_span", "ExteriorAlgebra.\u03b9Multi_span_fixedDegree", "ExteriorAlgebra.\u03b9Multi_zero_apply", "ExteriorAlgebra.\u03b9_add_mul_swap", "ExteriorAlgebra.\u03b9_eq_algebraMap_iff", "ExteriorAlgebra.\u03b9_eq_zero_iff", "ExteriorAlgebra.\u03b9_inj", "ExteriorAlgebra.\u03b9_leftInverse", "ExteriorAlgebra.\u03b9_mul_prod_list", "ExteriorAlgebra.\u03b9_ne_one", "ExteriorAlgebra.\u03b9_range_disjoint_one", "ExtremallyDisconnected.homeoCompactToT2_injective", "FDerivMeasurableAux.A_mono", "FDerivMeasurableAux.D_subset_differentiable_set", "FDerivMeasurableAux.differentiable_set_eq_D", "FDerivMeasurableAux.differentiable_set_subset_D", "FDerivMeasurableAux.isOpen_A", "FDerivMeasurableAux.isOpen_A_with_param", "FDerivMeasurableAux.isOpen_B", "FDerivMeasurableAux.isOpen_B_with_param", "FDerivMeasurableAux.le_of_mem_A", "FDerivMeasurableAux.mem_A_of_differentiable", "FDerivMeasurableAux.norm_sub_le_of_mem_A", "FGModuleCat.FGModuleCatCoevaluation_apply_one", "FGModuleCat.coevaluation_evaluation", "FGModuleCat.ihom_obj", "FGModuleCat.tensorObj_obj", "FGModuleCat.tensorUnit_obj", "FP.Float.Zero.valid", "Fact.elim", "FastSubsingleton.helim", "FdRep.Iso.conj_\u03c1", "FdRep.average_char_eq_finrank_invariants", "FdRep.char_conj", "FdRep.char_dual", "FdRep.char_iso", "FdRep.char_linHom", "FdRep.char_mul_comm", "FdRep.char_one", "FdRep.char_orthonormal", "FdRep.char_tensor", "FdRep.char_tensor'", "FdRep.forget\u2082_\u03c1", "Fermat42.comm", "Fermat42.coprime_of_minimal", "Fermat42.exists_minimal", "Fermat42.exists_odd_minimal", "Fermat42.exists_pos_odd_minimal", "Fermat42.minimal_comm", "Fermat42.mul", "Fermat42.ne_zero", "Fermat42.neg_of_minimal", "Fermat42.not_minimal", "FermatLastTheorem.of_odd_primes", "FermatLastTheoremFor.mono", "FermatLastTheoremForThreeGen.Solution'.multiplicity_lambda_c_finite", "FermatLastTheoremForThreeGen.Solution'.two_le_multiplicity", "FermatLastTheoremForThreeGen.Solution.exists_minimal", "FermatLastTheoremForThreeGen.Solution.two_le_multiplicity", "FermatLastTheoremForThreeGen.a_cube_add_b_cube_eq_mul", "FermatLastTheoremForThreeGen.a_cube_b_cube_congr_one_or_neg_one", "FermatLastTheoremForThreeGen.ex_cube_add_cube_eq_and_isCoprime_and_not_dvd_and_dvd", "FermatLastTheoremForThreeGen.exists_Solution_of_Solution'", "FermatLastTheoremForThreeGen.lambda_pow_four_dvd_c_cube", "FermatLastTheoremForThreeGen.lambda_sq_dvd_c", "FermatLastTheoremForThreeGen.lambda_sq_dvd_or_dvd_or_dvd", "FermatLastTheoremForThree_of_FermatLastTheoremThreeGen", "FermatLastTheoremWith.mono", "FiberBundle.Prod.inducing_diag", "FiberBundle.chartedSpace'_chartAt", "FiberBundle.chartedSpace_chartAt", "FiberBundle.chartedSpace_chartAt_symm_fst", "FiberBundle.continuousAt_totalSpace", "FiberBundle.continuous_totalSpaceMk", "FiberBundle.exists_trivialization_Icc_subset", "FiberBundle.extChartAt", "FiberBundle.extChartAt_target", "FiberBundle.isCoveringMap", "FiberBundle.map_proj_nhds", "FiberBundle.mem_baseSet_trivializationAt", "FiberBundle.mem_trivializationAt_proj_source", "FiberBundle.surjective_proj", "FiberBundle.totalSpaceMk_closedEmbedding", "FiberBundle.trivializationAt_proj_fst", "FiberBundle.writtenInExtChartAt_trivializationAt_symm", "FiberBundleCore.baseSet_at", "FiberBundleCore.continuous_const_section", "FiberBundleCore.continuous_totalSpaceMk", "FiberBundleCore.localTrivAsPartialEquiv_source", "FiberBundleCore.localTrivAsPartialEquiv_symm", "FiberBundleCore.localTrivAsPartialEquiv_target", "FiberBundleCore.localTrivAsPartialEquiv_trans", "FiberBundleCore.localTrivAt_def", "FiberBundleCore.localTrivAt_snd", "FiberBundleCore.localTriv_symm_apply", "FiberBundleCore.mem_localTrivAsPartialEquiv_source", "FiberBundleCore.mem_localTrivAsPartialEquiv_target", "FiberBundleCore.mem_localTrivAt_source", "FiberBundleCore.mem_localTrivAt_target", "FiberBundleCore.mem_localTriv_source", "FiberBundleCore.mem_localTriv_target", "FiberBundleCore.mem_trivChange_source", "FiberBundleCore.open_source'", "FiberPrebundle.continuousOn_of_comp_right", "FiberPrebundle.continuous_proj", "FiberPrebundle.continuous_symm_of_mem_pretrivializationAtlas", "FiberPrebundle.continuous_totalSpaceMk", "FiberPrebundle.isOpen_source", "FiberPrebundle.isOpen_target_of_mem_pretrivializationAtlas_inter", "FiberPrebundle.mem_pretrivializationAt_source", "FiberPrebundle.totalSpaceMk_preimage_source", "FiberwiseLinear.source_trans_partialHomeomorph", "Field.DirectLimit.exists_inv", "Field.DirectLimit.inv_mul_cancel", "Field.DirectLimit.mul_inv_cancel", "Field.FiniteDimensional.of_exists_primitive_element", "Field.FiniteDimensional.of_finite_intermediateField", "Field.closure.isSubfield", "Field.closure.isSubmonoid", "Field.closure_mono", "Field.closure_subset", "Field.closure_subset_iff", "Field.exists_primitive_element", "Field.exists_primitive_element_iff_finite_intermediateField", "Field.exists_primitive_element_of_finite_bot", "Field.exists_primitive_element_of_finite_intermediateField", "Field.exists_primitive_element_of_finite_top", "Field.finInsepDegree_def'", "Field.finInsepDegree_eq_of_equiv", "Field.finInsepDegree_self", "Field.finSepDegree_dvd_finrank", "Field.finSepDegree_eq", "Field.finSepDegree_eq_finrank_iff", "Field.finSepDegree_eq_finrank_of_isSeparable", "Field.finSepDegree_eq_of_adjoin_splits", "Field.finSepDegree_le_finrank", "Field.finSepDegree_mul_finInsepDegree", "Field.finSepDegree_mul_finSepDegree_of_isAlgebraic", "Field.finSepDegree_self", "Field.finite_intermediateField_of_exists_primitive_element", "Field.insepDegree_eq_of_equiv", "Field.insepDegree_self", "Field.isAlgebraic_of_adjoin_eq_adjoin", "Field.lift_insepDegree_eq_of_equiv", "Field.lift_rank_mul_lift_sepDegree_of_isSeparable", "Field.lift_sepDegree_eq_of_equiv", "Field.lift_sepDegree_mul_lift_sepDegree_of_isAlgebraic", "Field.mem_closure", "Field.nonempty_iff", "Field.primitive_element_iff_algHom_eq_of_eval", "Field.primitive_element_iff_algHom_eq_of_eval'", "Field.primitive_element_iff_minpoly_degree_eq", "Field.primitive_element_iff_minpoly_natDegree_eq", "Field.primitive_element_inf_aux", "Field.primitive_element_inf_aux_exists_c", "Field.primitive_element_inf_aux_of_finite_intermediateField", "Field.rank_mul_sepDegree_of_isSeparable", "Field.sepDegree_eq_of_isPurelyInseparable", "Field.sepDegree_eq_of_isPurelyInseparable_of_isSeparable", "Field.sepDegree_mul_sepDegree_of_isAlgebraic", "Field.sepDegree_self", "Field.separable_add", "Field.separable_algebraMap", "Field.separable_inv", "Field.separable_mul", "Field.span_map_pow_expChar_pow_eq_top_of_isSeparable", "Field.subset_closure", "Field.toIsField", "Filter.BoundedAtFilter.mul", "Filter.BoundedAtFilter.neg", "Filter.BoundedAtFilter.smul", "Filter.CompleteLatticeHom.apply_liminf_iterate", "Filter.CompleteLatticeHom.apply_limsup_iterate", "Filter.Eventually.and", "Filter.Eventually.and_frequently", "Filter.Eventually.atTop_of_arithmetic", "Filter.Eventually.diag_of_prod", "Filter.Eventually.diag_of_prod_left", "Filter.Eventually.diag_of_prod_right", "Filter.Eventually.exists", "Filter.Eventually.exists_Ioo_subset", "Filter.Eventually.exists_forall_of_atTop", "Filter.Eventually.exists_gt", "Filter.Eventually.exists_lt", "Filter.Eventually.exists_measurable_mem", "Filter.Eventually.exists_measurable_mem_of_smallSets", "Filter.Eventually.exists_mem", "Filter.Eventually.filter_mono", "Filter.Eventually.forall_mem", "Filter.Eventually.frequently", "Filter.Eventually.germ_congr_set", "Filter.Eventually.intCast_atBot", "Filter.Eventually.isBigO", "Filter.Eventually.lt_top_iff_ne_top", "Filter.Eventually.lt_top_of_ne", "Filter.Eventually.mono", "Filter.Eventually.mp", "Filter.Eventually.ne_of_lt", "Filter.Eventually.prod_inl", "Filter.Eventually.prod_inl_nhds", "Filter.Eventually.prod_inr", "Filter.Eventually.prod_inr_nhds", "Filter.Eventually.prod_nhds", "Filter.Eventually.prod_nhdsSet", "Filter.Eventually.self_of_nhds", "Filter.Eventually.self_of_nhdsSet", "Filter.Eventually.self_of_nhdsWithin", "Filter.Eventually.trans_isBigO", "Filter.Eventually.union", "Filter.Eventually.union_nhdsSet", "Filter.Eventually.volume_pos_of_nhds_real", "Filter.EventuallyConst.comp", "Filter.EventuallyConst.comp_tendsto", "Filter.EventuallyConst.congr", "Filter.EventuallyConst.const", "Filter.EventuallyConst.inv", "Filter.EventuallyConst.mul", "Filter.EventuallyConst.mulIndicator_const", "Filter.EventuallyConst.mulIndicator_const_iff", "Filter.EventuallyConst.mulIndicator_const_iff_of_ne", "Filter.EventuallyConst.of_mulIndicator_const", "Filter.EventuallyConst.of_subsingleton_left", "Filter.EventuallyConst.of_subsingleton_right", "Filter.EventuallyConst.of_tendsto", "Filter.EventuallyEq.cardinal_bInter", "Filter.EventuallyEq.cardinal_iUnion", "Filter.EventuallyEq.comp\u2082", "Filter.EventuallyEq.congr_continuousWithinAt", "Filter.EventuallyEq.contDiffWithinAt_iff", "Filter.EventuallyEq.contMDiffWithinAt_iff", "Filter.EventuallyEq.continuousAt", "Filter.EventuallyEq.deriv", "Filter.EventuallyEq.derivWithin_eq", "Filter.EventuallyEq.deriv_eq", "Filter.EventuallyEq.differentiableAt_iff", "Filter.EventuallyEq.differentiableWithinAt_iff", "Filter.EventuallyEq.differentiableWithinAt_iff_of_mem", "Filter.EventuallyEq.eq_of_nhds", "Filter.EventuallyEq.eventuallyConst_iff", "Filter.EventuallyEq.exists_mem", "Filter.EventuallyEq.fderivWithin", "Filter.EventuallyEq.fderivWithin_eq", "Filter.EventuallyEq.fderivWithin_eq_nhds", "Filter.EventuallyEq.fderiv_eq", "Filter.EventuallyEq.filter_mono", "Filter.EventuallyEq.fun_comp", "Filter.EventuallyEq.gradient", "Filter.EventuallyEq.gradient_eq", "Filter.EventuallyEq.hasFDerivAtFilter_iff", "Filter.EventuallyEq.hasFDerivAt_iff", "Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem", "Filter.EventuallyEq.hasLineDerivAt_iff", "Filter.EventuallyEq.hasLineDerivWithinAt_iff", "Filter.EventuallyEq.hasStrictFDerivAt_iff", "Filter.EventuallyEq.iInter", "Filter.EventuallyEq.iUnion", "Filter.EventuallyEq.inf", "Filter.EventuallyEq.inter", "Filter.EventuallyEq.inv", "Filter.EventuallyEq.isBigO", "Filter.EventuallyEq.isEquivalent", "Filter.EventuallyEq.isLocalExtrOn_iff", "Filter.EventuallyEq.isLocalExtr_iff", "Filter.EventuallyEq.isLocalMaxOn_iff", "Filter.EventuallyEq.isLocalMin_iff", "Filter.EventuallyEq.isMaxFilter_iff", "Filter.EventuallyEq.isMinFilter_iff", "Filter.EventuallyEq.isTheta", "Filter.EventuallyEq.iteratedFDerivWithin", "Filter.EventuallyEq.iteratedFDerivWithin'", "Filter.EventuallyEq.iteratedFDerivWithin_eq", "Filter.EventuallyEq.le", "Filter.EventuallyEq.lineDerivWithin_eq", "Filter.EventuallyEq.lineDeriv_eq", "Filter.EventuallyEq.lineDifferentiableAt_iff", "Filter.EventuallyEq.lineDifferentiableWithinAt_iff", "Filter.EventuallyEq.lineDifferentiableWithinAt_iff_of_mem", "Filter.EventuallyEq.mdifferentiableWithinAt_iff", "Filter.EventuallyEq.mfderivWithin_eq", "Filter.EventuallyEq.mfderiv_eq", "Filter.EventuallyEq.mul", "Filter.EventuallyEq.mulIndicator_one", "Filter.EventuallyEq.of_eventually_mem_of_forall_separating_mem_iff", "Filter.EventuallyEq.of_eventually_mem_of_forall_separating_preimage", "Filter.EventuallyEq.of_forall_separating_preimage", "Filter.EventuallyEq.of_mulIndicator", "Filter.EventuallyEq.of_mulIndicator_const", "Filter.EventuallyEq.pow_const", "Filter.EventuallyEq.preimage", "Filter.EventuallyEq.refl", "Filter.EventuallyEq.restrict", "Filter.EventuallyEq.rfl", "Filter.EventuallyEq.rw", "Filter.EventuallyEq.self_of_nhdsSet", "Filter.EventuallyEq.smul", "Filter.EventuallyEq.sub_eq", "Filter.EventuallyEq.sup", "Filter.EventuallyEq.symm", "Filter.EventuallyEq.trans", "Filter.EventuallyEq.trans_isBigO", "Filter.EventuallyEq.trans_isEquivalent", "Filter.EventuallyEq.union", "Filter.EventuallyLE.antisymm", "Filter.EventuallyLE.cardinal_bInter", "Filter.EventuallyLE.cardinal_bUnion", "Filter.EventuallyLE.cardinal_iInter", "Filter.EventuallyLE.congr", "Filter.EventuallyLE.diff", "Filter.EventuallyLE.eventuallyLE_nhds", "Filter.EventuallyLE.iInter", "Filter.EventuallyLE.iUnion", "Filter.EventuallyLE.inter", "Filter.EventuallyLE.isLocalMinOn", "Filter.EventuallyLE.isMaxFilter", "Filter.EventuallyLE.isMinFilter", "Filter.EventuallyLE.le_sup_of_le_left", "Filter.EventuallyLE.le_sup_of_le_right", "Filter.EventuallyLE.mul_le_mul'", "Filter.EventuallyLE.mul_nonneg", "Filter.EventuallyLE.refl", "Filter.EventuallyLE.rfl", "Filter.EventuallyLE.sup", "Filter.EventuallyLE.sup_le", "Filter.EventuallyLE.trans", "Filter.EventuallyLE.trans_eq", "Filter.EventuallyLE.union", "Filter.FilterBasis.ofSets_sets", "Filter.Frequently.and_eventually", "Filter.Frequently.exists", "Filter.Frequently.filter_mono", "Filter.Frequently.forall_exists_of_atTop", "Filter.Frequently.mem_of_closed", "Filter.Frequently.mono", "Filter.Frequently.mp", "Filter.Frequently.uncurry", "Filter.Germ.Filter.Tendsto.congr_germ", "Filter.Germ.coe_coeMulHom", "Filter.Germ.coe_compTendsto", "Filter.Germ.coe_div", "Filter.Germ.coe_inv", "Filter.Germ.coe_le", "Filter.Germ.coe_lt", "Filter.Germ.coe_mul", "Filter.Germ.coe_nonneg", "Filter.Germ.coe_ofNat", "Filter.Germ.coe_one", "Filter.Germ.coe_pow", "Filter.Germ.coe_smul'", "Filter.Germ.compTendsto'_coe", "Filter.Germ.const_bot", "Filter.Germ.const_compTendsto", "Filter.Germ.const_div", "Filter.Germ.const_inj", "Filter.Germ.const_inv", "Filter.Germ.const_le_iff", "Filter.Germ.const_lt_iff", "Filter.Germ.const_max", "Filter.Germ.const_smul", "Filter.Germ.const_sup", "Filter.Germ.const_top", "Filter.Germ.inductionOn", "Filter.Germ.inductionOn\u2082", "Filter.Germ.inductionOn\u2083", "Filter.Germ.isConstant_coe", "Filter.Germ.isConstant_coe_const", "Filter.Germ.isConstant_comp", "Filter.Germ.isConstant_comp_subtype", "Filter.Germ.isConstant_comp_tendsto", "Filter.Germ.le_def", "Filter.Germ.liftPred_coe", "Filter.Germ.liftRel_coe", "Filter.Germ.liftRel_const_iff", "Filter.Germ.map'_coe", "Filter.Germ.map_coe", "Filter.Germ.map_const", "Filter.Germ.map_id", "Filter.Germ.map_map", "Filter.Germ.map\u2082_coe", "Filter.Germ.max_def", "Filter.Germ.min_def", "Filter.Germ.natCast_def", "Filter.Germ.quot_mk_eq_coe", "Filter.Germ.sliceLeft_coe", "Filter.Germ.sliceRight_coe", "Filter.HasAntitoneBasis.comap", "Filter.HasAntitoneBasis.comp_mono", "Filter.HasAntitoneBasis.comp_strictMono", "Filter.HasAntitoneBasis.eventually_subset", "Filter.HasAntitoneBasis.hasBasis_ge", "Filter.HasAntitoneBasis.iInf_principal", "Filter.HasAntitoneBasis.map", "Filter.HasAntitoneBasis.mem", "Filter.HasAntitoneBasis.mem_iff", "Filter.HasAntitoneBasis.prod", "Filter.HasAntitoneBasis.subbasis_with_rel", "Filter.HasAntitoneBasis.tendsto_smallSets", "Filter.HasBasis.biInf_mem", "Filter.HasBasis.biInter_biUnion_ball", "Filter.HasBasis.blimsup_eq_iInf_iSup", "Filter.HasBasis.cauchySeq_iff", "Filter.HasBasis.cauchySeq_iff'", "Filter.HasBasis.cauchy_iff", "Filter.HasBasis.clusterPt_iff", "Filter.HasBasis.cobounded_of_norm'", "Filter.HasBasis.comap", "Filter.HasBasis.comp_equiv", "Filter.HasBasis.comp_surjective", "Filter.HasBasis.compactConvergenceUniformity", "Filter.HasBasis.congr", "Filter.HasBasis.coprod", "Filter.HasBasis.disjoint_cobounded_iff", "Filter.HasBasis.disjoint_iff", "Filter.HasBasis.disjoint_iff_left", "Filter.HasBasis.eq_biInf", "Filter.HasBasis.eq_bot_iff", "Filter.HasBasis.eq_iInf", "Filter.HasBasis.equicontinuousAt_iff", "Filter.HasBasis.equicontinuousAt_iff_left", "Filter.HasBasis.equicontinuousAt_iff_right", "Filter.HasBasis.equicontinuousWithinAt_iff", "Filter.HasBasis.equicontinuousWithinAt_iff_left", "Filter.HasBasis.equicontinuousWithinAt_iff_right", "Filter.HasBasis.eventuallyConst_iff", "Filter.HasBasis.eventuallyConst_iff'", "Filter.HasBasis.exists_antitone_subbasis", "Filter.HasBasis.exists_iff", "Filter.HasBasis.exists_inter_eq_singleton_of_mem_discrete", "Filter.HasBasis.ext", "Filter.HasBasis.filter_eq", "Filter.HasBasis.forall_iff", "Filter.HasBasis.forall_mem_mem", "Filter.HasBasis.frequently_iff", "Filter.HasBasis.hasBasis_of_denseInducing", "Filter.HasBasis.hasBasis_self_subset", "Filter.HasBasis.inf", "Filter.HasBasis.inf'", "Filter.HasBasis.inf_basis_neBot_iff", "Filter.HasBasis.inf_neBot_iff", "Filter.HasBasis.inf_principal", "Filter.HasBasis.inf_principal_neBot_iff", "Filter.HasBasis.inseparable_iff_uniformity", "Filter.HasBasis.isBasis", "Filter.HasBasis.isCountablyGenerated", "Filter.HasBasis.isVonNBounded_iff", "Filter.HasBasis.ker", "Filter.HasBasis.le_basis_iff", "Filter.HasBasis.le_iff", "Filter.HasBasis.lebesgue_number_lemma", "Filter.HasBasis.lift", "Filter.HasBasis.lift'", "Filter.HasBasis.lift'_interior", "Filter.HasBasis.lift'_interior_eq_self", "Filter.HasBasis.liminf_eq_ciSup_ciInf", "Filter.HasBasis.liminf_eq_iSup_iInf", "Filter.HasBasis.liminf_eq_ite", "Filter.HasBasis.liminf_eq_sSup_iUnion_iInter", "Filter.HasBasis.limsInf_eq_iSup_sInf", "Filter.HasBasis.limsSup_eq_iInf_sSup", "Filter.HasBasis.limsup_eq_iInf_iSup", "Filter.HasBasis.limsup_eq_ite", "Filter.HasBasis.limsup_eq_sInf_iUnion_iInter", "Filter.HasBasis.map", "Filter.HasBasis.mem_iff", "Filter.HasBasis.mem_lift_iff", "Filter.HasBasis.mem_of_mem", "Filter.HasBasis.mem_of_superset", "Filter.HasBasis.mem_uniformity_iff", "Filter.HasBasis.nhds'", "Filter.HasBasis.nhdsSet_interior", "Filter.HasBasis.nhds_closure", "Filter.HasBasis.nhds_of_one", "Filter.HasBasis.nonempty", "Filter.HasBasis.principal_inf", "Filter.HasBasis.prod", "Filter.HasBasis.prod_nhds", "Filter.HasBasis.prod_nhds'", "Filter.HasBasis.prod_pprod", "Filter.HasBasis.prod_same_index", "Filter.HasBasis.prod_same_index_mono", "Filter.HasBasis.prod_self", "Filter.HasBasis.restrict", "Filter.HasBasis.set_index_mem", "Filter.HasBasis.smallSets", "Filter.HasBasis.specializes_iff", "Filter.HasBasis.specializes_iff_uniformity", "Filter.HasBasis.subsingleton_iff", "Filter.HasBasis.sup", "Filter.HasBasis.sup'", "Filter.HasBasis.sup_principal", "Filter.HasBasis.sup_pure", "Filter.HasBasis.tendstoIxxClass", "Filter.HasBasis.tendsto_iff", "Filter.HasBasis.tendsto_left_iff", "Filter.HasBasis.tendsto_right_iff", "Filter.HasBasis.to_hasBasis", "Filter.HasBasis.to_image_id", "Filter.HasBasis.to_image_id'", "Filter.HasBasis.to_subset", "Filter.HasBasis.totallyBounded_iff", "Filter.HasBasis.uniformContinuousOn_iff", "Filter.HasBasis.uniformContinuous_iff", "Filter.HasBasis.uniformEmbedding_iff", "Filter.HasBasis.uniformEmbedding_iff'", "Filter.HasBasis.uniformEquicontinuousOn_iff", "Filter.HasBasis.uniformEquicontinuousOn_iff_left", "Filter.HasBasis.uniformEquicontinuousOn_iff_right", "Filter.HasBasis.uniformEquicontinuous_iff", "Filter.HasBasis.uniformEquicontinuous_iff_left", "Filter.HasBasis.uniformEquicontinuous_iff_right", "Filter.HasBasis.uniformInducing_iff", "Filter.HasBasis.uniformSpace_eq_bot", "Filter.HasBasis.uniformity_of_nhds_one_inv_mul", "Filter.HasBasis.uniformity_of_nhds_one_inv_mul_swapped", "Filter.HasBasis.uniformity_of_nhds_one_swapped", "Filter.HasBasis.vitaliFamily", "Filter.HasCountableBasis.isCountablyGenerated", "Filter.Ici_mem_atTop", "Filter.Iic_mem_atBot", "Filter.Iic_principal", "Filter.Iio_mem_atBot", "Filter.InfHom.le_apply_bliminf", "Filter.IsBasis.filter_eq_generate", "Filter.IsBasis.hasBasis", "Filter.IsBasis.mem_filterBasis_iff", "Filter.IsBasis.mem_filter_iff", "Filter.IsBounded.isBoundedUnder", "Filter.IsBounded.isCobounded_le", "Filter.IsBoundedUnder.bddAbove_range", "Filter.IsBoundedUnder.bddAbove_range_of_cofinite", "Filter.IsBoundedUnder.bddBelow_range_of_cofinite", "Filter.IsBoundedUnder.inf", "Filter.IsBoundedUnder.isCoboundedUnder_flip", "Filter.IsBoundedUnder.isCoboundedUnder_ge", "Filter.IsBoundedUnder.isCoboundedUnder_le", "Filter.IsBoundedUnder.isLittleO_sub_self_inv", "Filter.IsBoundedUnder.mono_le", "Filter.IsBoundedUnder.sup", "Filter.IsCobounded.mono", "Filter.NeBot.comap_of_image_mem", "Filter.NeBot.comap_of_range_mem", "Filter.NeBot.comap_of_surj", "Filter.NeBot.coprod\u1d62", "Filter.NeBot.div", "Filter.NeBot.div_zero_nonneg", "Filter.NeBot.eq_pure_iff", "Filter.NeBot.inv", "Filter.NeBot.le_pure_iff", "Filter.NeBot.map", "Filter.NeBot.map\u2082", "Filter.NeBot.mono", "Filter.NeBot.mul", "Filter.NeBot.ne", "Filter.NeBot.nonempty", "Filter.NeBot.nonempty_of_mem", "Filter.NeBot.not_disjoint", "Filter.NeBot.of_div_left", "Filter.NeBot.of_div_right", "Filter.NeBot.of_map", "Filter.NeBot.of_smul_left", "Filter.NeBot.of_vsub_right", "Filter.NeBot.one_le_div", "Filter.NeBot.prod", "Filter.NeBot.smul", "Filter.NeBot.smul_filter", "Filter.NeBot.smul_zero_nonneg", "Filter.NeBot.vsub", "Filter.NeBot.zero_div_nonneg", "Filter.NeBot.zero_mul_nonneg", "Filter.OrderBot.atBot_eq", "Filter.OrderIso.apply_blimsup", "Filter.OrderTop.atTop_eq", "Filter.Realizer.bot_F", "Filter.Realizer.le_iff", "Filter.Realizer.map_F", "Filter.Realizer.map_\u03c3", "Filter.Realizer.mem_sets", "Filter.Realizer.ne_bot_iff", "Filter.Realizer.ofEquiv_F", "Filter.Realizer.principal_\u03c3", "Filter.Realizer.top_\u03c3", "Filter.Subsingleton.anti", "Filter.Subsingleton.atBot_eq", "Filter.Subsingleton.atTop_eq", "Filter.Subsingleton.exists_eq_pure", "Filter.Subsingleton.isCountablyGenerated", "Filter.Subsingleton.map", "Filter.Subsingleton.of_subsingleton", "Filter.Subsingleton.prod", "Filter.SupHom.apply_blimsup_le", "Filter.Tendsto.IccExtend", "Filter.Tendsto.Ico", "Filter.Tendsto.Ioc", "Filter.Tendsto.Ioo", "Filter.Tendsto.abs", "Filter.Tendsto.add_atBot", "Filter.Tendsto.add_atTop", "Filter.Tendsto.arsinh", "Filter.Tendsto.atBot_add", "Filter.Tendsto.atBot_mul", "Filter.Tendsto.atBot_mul_atBot", "Filter.Tendsto.atBot_mul_atTop", "Filter.Tendsto.atBot_mul_const", "Filter.Tendsto.atBot_mul_const'", "Filter.Tendsto.atBot_mul_const_of_neg", "Filter.Tendsto.atBot_mul_const_of_neg'", "Filter.Tendsto.atBot_mul_neg", "Filter.Tendsto.atBot_zsmul_const", "Filter.Tendsto.atBot_zsmul_neg_const", "Filter.Tendsto.atTop_add", "Filter.Tendsto.atTop_div_const", "Filter.Tendsto.atTop_div_const_of_neg", "Filter.Tendsto.atTop_mul", "Filter.Tendsto.atTop_mul_atBot", "Filter.Tendsto.atTop_mul_atTop", "Filter.Tendsto.atTop_mul_const'", "Filter.Tendsto.atTop_mul_const_of_neg", "Filter.Tendsto.atTop_mul_const_of_neg'", "Filter.Tendsto.atTop_mul_neg", "Filter.Tendsto.atTop_nsmul_const", "Filter.Tendsto.atTop_nsmul_neg_const", "Filter.Tendsto.atTop_of_const_mul", "Filter.Tendsto.atTop_of_mul_const", "Filter.Tendsto.atTop_zsmul_const", "Filter.Tendsto.atTop_zsmul_neg_const", "Filter.Tendsto.basis_both", "Filter.Tendsto.basis_left", "Filter.Tendsto.bddAbove_range", "Filter.Tendsto.bddAbove_range_of_cofinite", "Filter.Tendsto.bddBelow_range", "Filter.Tendsto.bddBelow_range_of_cofinite", "Filter.Tendsto.cesaro", "Filter.Tendsto.cesaro_smul", "Filter.Tendsto.cexp", "Filter.Tendsto.clog", "Filter.Tendsto.comp", "Filter.Tendsto.compCM", "Filter.Tendsto.congr", "Filter.Tendsto.congr'", "Filter.Tendsto.congr_dist", "Filter.Tendsto.congr_uniformity", "Filter.Tendsto.cons", "Filter.Tendsto.const_cpow", "Filter.Tendsto.const_div'", "Filter.Tendsto.const_mul", "Filter.Tendsto.const_mul_atBot", "Filter.Tendsto.const_mul_atTop", "Filter.Tendsto.const_mul_atTop'", "Filter.Tendsto.const_mul_atTop_of_neg", "Filter.Tendsto.const_smul", "Filter.Tendsto.continuousAt_of_equicontinuousAt", "Filter.Tendsto.continuousWithinAt_of_equicontinuousWithinAt", "Filter.Tendsto.continuous_of_equicontinuous", "Filter.Tendsto.countable_compl_preimage_ker", "Filter.Tendsto.cpow", "Filter.Tendsto.curry", "Filter.Tendsto.disjoint", "Filter.Tendsto.dist", "Filter.Tendsto.div", "Filter.Tendsto.div'", "Filter.Tendsto.div_atTop", "Filter.Tendsto.div_const", "Filter.Tendsto.div_const'", "Filter.Tendsto.div_div", "Filter.Tendsto.ennrpow_const", "Filter.Tendsto.eventually", "Filter.Tendsto.eventually_forall_ge_atTop", "Filter.Tendsto.eventually_forall_le_atBot", "Filter.Tendsto.eventually_ge_atTop", "Filter.Tendsto.eventually_intervalIntegrable", "Filter.Tendsto.eventually_le_atBot", "Filter.Tendsto.eventually_lt_atBot", "Filter.Tendsto.eventually_mem", "Filter.Tendsto.eventually_ne", "Filter.Tendsto.eventually_ne_atBot", "Filter.Tendsto.eventually_ne_atTop", "Filter.Tendsto.eventually_ne_cobounded", "Filter.Tendsto.exists_within_forall_ge", "Filter.Tendsto.exists_within_forall_le", "Filter.Tendsto.fin_insertNth", "Filter.Tendsto.finset_inf'_nhds", "Filter.Tendsto.finset_inf'_nhds_apply", "Filter.Tendsto.finset_inf_nhds_apply", "Filter.Tendsto.finset_sup'_nhds", "Filter.Tendsto.finset_sup'_nhds_apply", "Filter.Tendsto.finset_sup_nhds", "Filter.Tendsto.finset_sup_nhds_apply", "Filter.Tendsto.frequently", "Filter.Tendsto.frequently_map", "Filter.Tendsto.fst", "Filter.Tendsto.fst_nhds", "Filter.Tendsto.if", "Filter.Tendsto.if'", "Filter.Tendsto.if_nhdsWithin", "Filter.Tendsto.inf", "Filter.Tendsto.inf_nhds", "Filter.Tendsto.inner", "Filter.Tendsto.inseparable_iff_uniformity", "Filter.Tendsto.integral_sub_linear_isLittleO_ae", "Filter.Tendsto.inv", "Filter.Tendsto.inv_inv", "Filter.Tendsto.inv_tendsto_atTop", "Filter.Tendsto.inv_tendsto_zero", "Filter.Tendsto.inversion", "Filter.Tendsto.inv\u2080", "Filter.Tendsto.isBigO_one", "Filter.Tendsto.isBoundedUnder_ge", "Filter.Tendsto.isBoundedUnder_ge_atTop", "Filter.Tendsto.isBoundedUnder_le", "Filter.Tendsto.isBoundedUnder_le_atBot", "Filter.Tendsto.isCompact_insert_range_of_cocompact", "Filter.Tendsto.isCompact_insert_range_of_cofinite", "Filter.Tendsto.iterate", "Filter.Tendsto.lift'_closure", "Filter.Tendsto.liminf_eq", "Filter.Tendsto.log", "Filter.Tendsto.max", "Filter.Tendsto.max_left", "Filter.Tendsto.max_right", "Filter.Tendsto.midpoint", "Filter.Tendsto.min", "Filter.Tendsto.min_left", "Filter.Tendsto.mono_left", "Filter.Tendsto.mul", "Filter.Tendsto.mul_atBot", "Filter.Tendsto.mul_atTop", "Filter.Tendsto.mul_const", "Filter.Tendsto.neBot", "Filter.Tendsto.neg_mul_atBot", "Filter.Tendsto.neg_mul_atTop", "Filter.Tendsto.nhds_atBot", "Filter.Tendsto.nnnorm'", "Filter.Tendsto.nnrpow", "Filter.Tendsto.norm'", "Filter.Tendsto.not_tendsto", "Filter.Tendsto.nsmul_atBot", "Filter.Tendsto.nsmul_atTop", "Filter.Tendsto.of_smallSets", "Filter.Tendsto.of_tendsto_comp", "Filter.Tendsto.op_one_isBoundedUnder_le", "Filter.Tendsto.op_one_isBoundedUnder_le'", "Filter.Tendsto.partialSups", "Filter.Tendsto.piecewise", "Filter.Tendsto.piecewise_nhdsWithin", "Filter.Tendsto.pow", "Filter.Tendsto.prod_atBot", "Filter.Tendsto.prod_atTop", "Filter.Tendsto.prod_map", "Filter.Tendsto.prod_map_coprod", "Filter.Tendsto.prod_map_prod_atTop", "Filter.Tendsto.prod_mk", "Filter.Tendsto.prod_mk_nhds", "Filter.Tendsto.rexp", "Filter.Tendsto.rpow", "Filter.Tendsto.rpow_const", "Filter.Tendsto.smallSets_mono", "Filter.Tendsto.snd_nhds", "Filter.Tendsto.sqrt", "Filter.Tendsto.star", "Filter.Tendsto.subseq_mem", "Filter.Tendsto.subseq_mem_entourage", "Filter.Tendsto.sup_nhds", "Filter.Tendsto.sup_nhds'", "Filter.Tendsto.sup_sup", "Filter.Tendsto.tendstoUniformlyOnFilter_const", "Filter.Tendsto.tendstoUniformlyOn_const", "Filter.Tendsto.uIcc", "Filter.Tendsto.uniformContinuousOn_of_uniformEquicontinuousOn", "Filter.Tendsto.uniformContinuous_of_uniformEquicontinuous", "Filter.Tendsto.uniformity_symm", "Filter.Tendsto.uniformity_trans", "Filter.Tendsto.update", "Filter.Tendsto.vsub", "Filter.Tendsto.zero_mul_isBoundedUnder_le", "Filter.Tendsto.zpow", "Filter.Tendsto.zpow\u2080", "Filter.TendstoNhdsWithinIio.const_mul", "Filter.TendstoNhdsWithinIoi.mul_const", "Filter.ZeroAtFilter.add", "Filter.ZeroAtFilter.boundedAtFilter", "Filter.ZeroAtFilter.neg", "Filter.add_mul_subset", "Filter.antitone_seq_of_seq", "Filter.asBasis_filter", "Filter.atBot_Iio_eq", "Filter.atBot_basis", "Filter.atBot_countable_basis", "Filter.atBot_neBot", "Filter.atTop_Ici_eq", "Filter.atTop_Ioi_eq", "Filter.atTop_basis", "Filter.atTop_basis'", "Filter.atTop_countable_basis", "Filter.atTop_eq_generate_Ici", "Filter.atTop_eq_generate_of_forall_exists_le", "Filter.atTop_eq_pure_of_isTop", "Filter.atTop_finset_eq_iInf", "Filter.atTop_le_cofinite", "Filter.atTop_neBot", "Filter.basis_sets", "Filter.bddBelow_range_of_tendsto_atTop_atTop", "Filter.biInf_sets_eq", "Filter.biInter_mem", "Filter.bind_def", "Filter.bind_inf_principal", "Filter.bind_le", "Filter.bind_map", "Filter.bind_mono", "Filter.bind_smallSets_gc", "Filter.bliminf_antitone", "Filter.bliminf_antitone_filter", "Filter.bliminf_congr", "Filter.bliminf_eq_iSup_biInf", "Filter.bliminf_eq_liminf", "Filter.bliminf_false", "Filter.bliminf_not_inf", "Filter.bliminf_or_le_inf", "Filter.bliminf_or_le_inf_aux_left", "Filter.bliminf_sup_le_and", "Filter.bliminf_sup_le_and_aux_left", "Filter.bliminf_sup_le_and_aux_right", "Filter.bliminf_sup_le_inf_aux_left", "Filter.bliminf_sup_le_or_aux_left", "Filter.bliminf_sup_le_or_aux_right", "Filter.bliminf_true", "Filter.blimsup_congr", "Filter.blimsup_congr'", "Filter.blimsup_eq", "Filter.blimsup_eq_iInf_biSup", "Filter.blimsup_eq_iInf_biSup_of_nat", "Filter.blimsup_eq_limsup", "Filter.blimsup_eq_limsup_subtype", "Filter.blimsup_mono", "Filter.blimsup_monotone_filter", "Filter.blimsup_or_eq_sup", "Filter.blimsup_sup_le_or", "Filter.blimsup_sup_not", "Filter.blimsup_true", "Filter.bot_coprod", "Filter.bot_coprod_bot", "Filter.bot_div", "Filter.bot_ne_hyperfilter", "Filter.bot_pow", "Filter.cardinalGenerate_isGreatest", "Filter.cardinalInterFilter_aleph0", "Filter.cardinal_bInter_mem", "Filter.cardinal_iInter_mem", "Filter.closure_singleton", "Filter.coLindelof_eq_bot", "Filter.cocardinal_aleph0_eq_cofinite", "Filter.cocardinal_inf_principal_neBot_iff", "Filter.coclosedCompact_eq_cocompact", "Filter.cocompact_eq_cofinite", "Filter.cocompact_le_cofinite", "Filter.coe_pureMonoidHom", "Filter.cofinite.blimsup_set_eq", "Filter.cofinite.limsup_set_eq", "Filter.cofinite_eq_bot_iff", "Filter.comap_abs_atTop", "Filter.comap_bot", "Filter.comap_coLindelof_le", "Filter.comap_cocompact_le", "Filter.comap_coe_neBot_of_le_principal", "Filter.comap_cofinite_le", "Filter.comap_comap", "Filter.comap_comm", "Filter.comap_const_of_not_mem", "Filter.comap_embedding_atTop", "Filter.comap_eq_lift'", "Filter.comap_eq_of_inverse", "Filter.comap_eval_neBot", "Filter.comap_eval_neBot_iff", "Filter.comap_eval_neBot_iff'", "Filter.comap_fst_neBot", "Filter.comap_fst_neBot_iff", "Filter.comap_hasBasis", "Filter.comap_iInf", "Filter.comap_id", "Filter.comap_id'", "Filter.comap_inf", "Filter.comap_inf_principal_neBot_of_image_mem", "Filter.comap_injective", "Filter.comap_inv", "Filter.comap_le_iff_le_kernMap", "Filter.comap_lift'_eq2", "Filter.comap_lift_eq", "Filter.comap_map", "Filter.comap_mono", "Filter.comap_mul_left_cobounded", "Filter.comap_neBot", "Filter.comap_neBot_iff", "Filter.comap_neBot_iff_frequently", "Filter.comap_principal", "Filter.comap_prod", "Filter.comap_pure", "Filter.comap_sSup", "Filter.comap_smallSets", "Filter.comap_snd_neBot", "Filter.comap_snd_neBot_iff", "Filter.comap_sup", "Filter.comap_surjective_eq_bot", "Filter.comap_top", "Filter.compl_diagonal_mem_prod", "Filter.compl_mem_coclosedCompact", "Filter.compl_mem_comap", "Filter.compl_mem_comk", "Filter.compl_mem_coprod", "Filter.compl_mem_coprod\u1d62", "Filter.compl_mem_kernMap", "Filter.compl_not_mem", "Filter.const_eventuallyEq'", "Filter.coprod_bot", "Filter.coprod_cocompact", "Filter.coprod_cofinite", "Filter.coprod_mono", "Filter.coprod_neBot_iff", "Filter.coprod_neBot_left", "Filter.coprod_neBot_right", "Filter.coprod\u1d62_bot", "Filter.coprod\u1d62_bot'", "Filter.coprod\u1d62_cocompact", "Filter.coprod\u1d62_cofinite", "Filter.coprod\u1d62_eq_bot_iff", "Filter.coprod\u1d62_eq_bot_iff'", "Filter.coprod\u1d62_neBot", "Filter.coprod\u1d62_neBot_iff", "Filter.coprod\u1d62_neBot_iff'", "Filter.countableGenerate_isGreatest", "Filter.countable_biInf_eq_iInf_seq", "Filter.countable_biInf_eq_iInf_seq'", "Filter.countable_compl_ker", "Filter.curry_le_prod", "Filter.diff_mem", "Filter.disjoint_atBot_atTop", "Filter.disjoint_atBot_principal_Ici", "Filter.disjoint_atTop_principal_Iic", "Filter.disjoint_atTop_principal_Iio", "Filter.disjoint_cocompact_left", "Filter.disjoint_cocompact_right", "Filter.disjoint_cofinite_right", "Filter.disjoint_comap", "Filter.disjoint_comap_iff", "Filter.disjoint_iff", "Filter.disjoint_map", "Filter.disjoint_of_disjoint_of_mem", "Filter.disjoint_of_map", "Filter.disjoint_principal_left", "Filter.disjoint_principal_principal", "Filter.disjoint_principal_right", "Filter.disjoint_prod", "Filter.disjoint_pure_atBot", "Filter.disjoint_pure_atTop", "Filter.disjoint_pure_pure", "Filter.div_bot", "Filter.div_eq_bot_iff", "Filter.div_le_div", "Filter.div_le_div_left", "Filter.div_le_div_right", "Filter.div_mem_div", "Filter.div_neBot_iff", "Filter.div_pure", "Filter.empty_mem_iff_bot", "Filter.empty_not_mem", "Filter.eq_biInf_of_mem_iff_exists_mem", "Filter.eq_or_neBot", "Filter.eq_sInf_of_mem_iff_exists_mem", "Filter.eq_top_of_neBot", "Filter.eventuallyConst_atTop", "Filter.eventuallyConst_atTop_nat", "Filter.eventuallyConst_iff_tendsto", "Filter.eventuallyConst_pred", "Filter.eventuallyConst_set'", "Filter.eventuallyEq_empty", "Filter.eventuallyEq_iff_exists_mem", "Filter.eventuallyEq_iff_sub", "Filter.eventuallyEq_inf_principal_iff", "Filter.eventuallyEq_of_mem", "Filter.eventuallyEq_set", "Filter.eventuallyEq_univ", "Filter.eventuallyLE_antisymm_iff", "Filter.eventuallyLE_congr", "Filter.eventually_all", "Filter.eventually_all_finite", "Filter.eventually_all_finset", "Filter.eventually_and", "Filter.eventually_atBot", "Filter.eventually_atBot_curry", "Filter.eventually_atBot_prod_self", "Filter.eventually_atBot_prod_self'", "Filter.eventually_atTop", "Filter.eventually_atTop_curry", "Filter.eventually_atTop_prod_self'", "Filter.eventually_bot", "Filter.eventually_cardinal_ball", "Filter.eventually_cardinal_forall", "Filter.eventually_cocardinal", "Filter.eventually_cocardinal_ne", "Filter.eventually_cocardinal_nmem_of_card_lt", "Filter.eventually_cofinite", "Filter.eventually_congr", "Filter.eventually_curry_iff", "Filter.eventually_curry_prod_iff", "Filter.eventually_forall_ge_atTop", "Filter.eventually_forall_le_atBot", "Filter.eventually_ge_atTop", "Filter.eventually_gt_atTop", "Filter.eventually_iSup", "Filter.eventually_iff", "Filter.eventually_iff_exists_mem", "Filter.eventually_iff_seq_eventually", "Filter.eventually_imp_distrib_left", "Filter.eventually_imp_distrib_right", "Filter.eventually_inf_principal", "Filter.eventually_lift'_iff", "Filter.eventually_lt_of_limsup_lt", "Filter.eventually_lt_of_lt_liminf", "Filter.eventually_map", "Filter.eventually_mem_set", "Filter.eventually_ne_atBot", "Filter.eventually_ne_atTop", "Filter.eventually_nhdsSet_prod_iff", "Filter.eventually_of_forall", "Filter.eventually_of_mem", "Filter.eventually_one", "Filter.eventually_or_distrib_left", "Filter.eventually_or_distrib_right", "Filter.eventually_pi", "Filter.eventually_principal", "Filter.eventually_prod_iff", "Filter.eventually_prod_principal_iff", "Filter.eventually_prod_self_iff", "Filter.eventually_pure", "Filter.eventually_sSup", "Filter.eventually_smallSets", "Filter.eventually_smallSets'", "Filter.eventually_smallSets_eventually", "Filter.eventually_smallSets_forall", "Filter.eventually_smallSets_subset", "Filter.eventually_sub_nonneg", "Filter.eventually_sup", "Filter.eventually_swap_iff", "Filter.eventually_top", "Filter.eventually_true", "Filter.exists_antitone_seq", "Filter.exists_eventually_atBot", "Filter.exists_eventually_atTop", "Filter.exists_forall_mem_of_hasBasis_mem_blimsup", "Filter.exists_forall_mem_of_hasBasis_mem_blimsup'", "Filter.exists_iInter_of_mem_iInf", "Filter.exists_le_of_tendsto_atTop", "Filter.exists_lt_of_tendsto_atBot", "Filter.exists_lt_of_tendsto_atTop", "Filter.exists_mem_and_iff", "Filter.exists_mem_singleton_mem_of_mem_of_nonempty_of_forall_separating", "Filter.exists_mem_subset_iff", "Filter.exists_seq_monotone_tendsto_atTop_atTop", "Filter.exists_seq_tendsto", "Filter.exists_singleton_mem_of_forall_separating", "Filter.exists_singleton_mem_of_mem_of_forall_separating", "Filter.exists_subset_subsingleton_mem_of_forall_separating", "Filter.exists_subsingleton_mem_of_forall_separating", "Filter.exists_ultrafilter_iff", "Filter.ext", "Filter.ext'", "Filter.ext_iff", "Filter.extraction_forall_of_eventually'", "Filter.extraction_forall_of_frequently", "Filter.extraction_of_eventually_atTop", "Filter.extraction_of_frequently_atTop", "Filter.extraction_of_frequently_atTop'", "Filter.filter_eq", "Filter.filter_eq_bot_of_isEmpty", "Filter.filter_eq_iff", "Filter.forall_in_swap", "Filter.forall_mem_nonempty_iff_neBot", "Filter.forall_neBot_le_iff", "Filter.frequently_and_distrib_left", "Filter.frequently_and_distrib_right", "Filter.frequently_atBot", "Filter.frequently_atTop'", "Filter.frequently_cocardinal", "Filter.frequently_cocardinal_mem", "Filter.frequently_cofinite_iff_infinite", "Filter.frequently_cofinite_mem_iff_infinite", "Filter.frequently_comap", "Filter.frequently_const", "Filter.frequently_curry_iff", "Filter.frequently_curry_prod_iff", "Filter.frequently_high_scores", "Filter.frequently_iSup", "Filter.frequently_iff", "Filter.frequently_iff_forall_eventually_exists_and", "Filter.frequently_iff_neBot", "Filter.frequently_iff_seq_forall", "Filter.frequently_iff_seq_frequently", "Filter.frequently_imp_distrib", "Filter.frequently_imp_distrib_left", "Filter.frequently_imp_distrib_right", "Filter.frequently_inf_principal", "Filter.frequently_low_scores", "Filter.frequently_lt_of_liminf_lt", "Filter.frequently_lt_of_lt_limsSup", "Filter.frequently_map", "Filter.frequently_mem_iff_neBot", "Filter.frequently_or_distrib", "Filter.frequently_or_distrib_left", "Filter.frequently_or_distrib_right", "Filter.frequently_principal", "Filter.frequently_prod_and", "Filter.frequently_sSup", "Filter.frequently_sup", "Filter.frequently_top", "Filter.gc_comap_kernMap", "Filter.gc_map_comap", "Filter.generate_empty", "Filter.generate_eq_biInf", "Filter.generate_eq_generate_inter", "Filter.generate_iUnion", "Filter.generate_neBot_iff", "Filter.generate_union", "Filter.generate_univ", "Filter.gt_mem_sets_of_limsInf_gt", "Filter.hasBasis_biInf_of_directed", "Filter.hasBasis_biInf_of_directed'", "Filter.hasBasis_biInf_principal", "Filter.hasBasis_biInf_principal'", "Filter.hasBasis_cocardinal", "Filter.hasBasis_coclosedCompact", "Filter.hasBasis_cofinite", "Filter.hasBasis_generate", "Filter.hasBasis_iInf", "Filter.hasBasis_iInf'", "Filter.hasBasis_iInf_of_directed", "Filter.hasBasis_iInf_of_directed'", "Filter.hasBasis_iInf_principal", "Filter.hasBasis_iInf_principal_finite", "Filter.hasBasis_iSup", "Filter.hasBasis_iff", "Filter.hasBasis_pi", "Filter.hasBasis_principal", "Filter.hasBasis_pure", "Filter.hasBasis_self", "Filter.hasBasis_smallSets", "Filter.high_scores", "Filter.hyperfilter_le_cofinite", "Filter.iInf_neBot_iff_of_directed", "Filter.iInf_neBot_of_directed", "Filter.iInf_neBot_of_directed'", "Filter.iInf_principal", "Filter.iInf_principal_finite", "Filter.iInf_principal_finset", "Filter.iInf_sets_eq", "Filter.iInf_sets_eq_finite", "Filter.iInf_sets_eq_finite'", "Filter.iInf_sets_induct", "Filter.iInter_mem", "Filter.iSup_inf_principal", "Filter.iSup_join", "Filter.iSup_neBot", "Filter.iSup_principal", "Filter.iSup_ultrafilter_le_eq", "Filter.image2_mem_map\u2082", "Filter.image_coe_mem_of_mem_comap", "Filter.image_mem_map", "Filter.image_mem_map_iff", "Filter.image_mem_of_mem_comap", "Filter.inducing_nhds", "Filter.inf_eq_bot_iff", "Filter.inf_liminf", "Filter.inf_map_atTop_neBot_iff", "Filter.inf_neBot_iff_frequently_left", "Filter.inf_neBot_iff_frequently_right", "Filter.inf_principal", "Filter.inf_principal_eq_bot", "Filter.inf_principal_eq_bot_iff_comap", "Filter.inf_principal_neBot_iff", "Filter.inf_prod", "Filter.inter_eventuallyEq_left", "Filter.inter_eventuallyEq_right", "Filter.inter_mem", "Filter.inter_mem_iff", "Filter.inter_mem_inf", "Filter.inv.instNeBot", "Filter.inv_atTop", "Filter.inv_cobounded", "Filter.inv_cobounded\u2080", "Filter.inv_eq_bot_iff", "Filter.inv_le_iff_le_inv", "Filter.inv_le_inv", "Filter.inv_le_inv_iff", "Filter.inv_mem_inv", "Filter.inv_nhdsWithin_ne_zero", "Filter.inv_pure", "Filter.isAtom_pure", "Filter.isBoundedUnder_const", "Filter.isBoundedUnder_ge_inf", "Filter.isBoundedUnder_le_abs", "Filter.isBoundedUnder_le_inv", "Filter.isBoundedUnder_le_mul_tendsto_zero", "Filter.isBoundedUnder_le_sup", "Filter.isBounded_bot", "Filter.isBounded_ge_atTop", "Filter.isBounded_ge_map_of_bounded_range", "Filter.isBounded_ge_of_bot", "Filter.isBounded_iff", "Filter.isBounded_le_atBot", "Filter.isBounded_le_map_of_bounded_range", "Filter.isBounded_principal", "Filter.isBounded_sup", "Filter.isBounded_top", "Filter.isCoboundedUnder_ge_of_eventually_le", "Filter.isCoboundedUnder_ge_of_le", "Filter.isCoboundedUnder_le_of_le", "Filter.isCobounded_bot", "Filter.isCobounded_le_of_bot", "Filter.isCobounded_principal", "Filter.isCobounded_top", "Filter.isCompl_principal", "Filter.isCountablyGenerated_biInf_principal", "Filter.isCountablyGenerated_bot", "Filter.isCountablyGenerated_iff_exists_antitone_basis", "Filter.isCountablyGenerated_principal", "Filter.isCountablyGenerated_pure", "Filter.isCountablyGenerated_seq", "Filter.isOpen_Iic_principal", "Filter.isOpen_iff", "Filter.isTopologicalBasis_Iic_principal", "Filter.isUnit_iff", "Filter.isUnit_iff_singleton", "Filter.isUnit_pure", "Filter.join_le", "Filter.join_principal_eq_sSup", "Filter.join_pure", "Filter.ker_comap", "Filter.ker_def", "Filter.ker_eq_univ", "Filter.ker_inf", "Filter.ker_pure", "Filter.ker_surjective", "Filter.kernMap_principal", "Filter.lawfulMonad", "Filter.le_cardinalGenerate_iff_of_cardinalInterFilter", "Filter.le_cofinite_iff_compl_singleton_mem", "Filter.le_comap_map", "Filter.le_comap_top", "Filter.le_countableGenerate_iff_of_countableInterFilter", "Filter.le_def", "Filter.le_div_iff", "Filter.le_generate_iff", "Filter.le_iff_ultrafilter", "Filter.le_lift", "Filter.le_lift'", "Filter.le_lift'_closure", "Filter.le_liminf_of_le", "Filter.le_limsSup_of_le", "Filter.le_limsup_of_frequently_le", "Filter.le_limsup_of_frequently_le'", "Filter.le_limsup_of_le", "Filter.le_map", "Filter.le_map_iff", "Filter.le_map_of_right_inverse", "Filter.le_map\u2082_iff", "Filter.le_pi_principal", "Filter.le_principal_iff", "Filter.le_prod", "Filter.le_prod_map_fst_snd", "Filter.le_pure_iff", "Filter.le_pure_iff'", "Filter.le_seq", "Filter.lift'_bot", "Filter.lift'_closure_eq_bot", "Filter.lift'_cong", "Filter.lift'_iInf", "Filter.lift'_iInf_of_map_univ", "Filter.lift'_inf", "Filter.lift'_inf_le", "Filter.lift'_inf_principal_eq", "Filter.lift'_le", "Filter.lift'_lift'_assoc", "Filter.lift'_lift_assoc", "Filter.lift'_map_le", "Filter.lift'_mono", "Filter.lift'_mono'", "Filter.lift'_neBot_iff", "Filter.lift'_principal", "Filter.lift'_top", "Filter.lift_assoc", "Filter.lift_comm", "Filter.lift_const", "Filter.lift_iInf", "Filter.lift_iInf_le", "Filter.lift_iInf_of_directed", "Filter.lift_iInf_of_map_univ", "Filter.lift_inf", "Filter.lift_le", "Filter.lift_lift'_assoc", "Filter.lift_lift'_same_eq_lift'", "Filter.lift_lift'_same_le_lift'", "Filter.lift_lift_same_eq_lift", "Filter.lift_map_le", "Filter.lift_mono", "Filter.lift_mono'", "Filter.lift_neBot_iff", "Filter.lift_principal", "Filter.lift_principal2", "Filter.lift_top", "Filter.liminf_bot", "Filter.liminf_compl", "Filter.liminf_const", "Filter.liminf_const_top", "Filter.liminf_eq_iSup_iInf", "Filter.liminf_eq_iSup_iInf_of_nat", "Filter.liminf_eq_iSup_iInf_of_nat'", "Filter.liminf_eq_sSup_sInf", "Filter.liminf_le_liminf", "Filter.liminf_le_liminf_of_le", "Filter.liminf_le_of_frequently_le", "Filter.liminf_le_of_frequently_le'", "Filter.liminf_le_of_le", "Filter.liminf_nat_add", "Filter.liminf_sdiff", "Filter.liminf_sup_filter", "Filter.limsInf_bot", "Filter.limsInf_eq_iSup_sInf", "Filter.limsInf_le_limsInf", "Filter.limsInf_le_limsSup", "Filter.limsInf_le_of_le", "Filter.limsInf_top", "Filter.limsSup_bot", "Filter.limsSup_le_limsSup", "Filter.limsSup_le_of_le", "Filter.limsSup_principal", "Filter.limsSup_top", "Filter.limsup_comp", "Filter.limsup_compl", "Filter.limsup_congr", "Filter.limsup_const", "Filter.limsup_const_bot", "Filter.limsup_eq", "Filter.limsup_eq_iInf_iSup", "Filter.limsup_eq_iInf_iSup_of_nat", "Filter.limsup_eq_iInf_iSup_of_nat'", "Filter.limsup_eq_sInf_sSup", "Filter.limsup_le_iSup", "Filter.limsup_le_limsup", "Filter.limsup_le_limsup_of_le", "Filter.limsup_le_of_le", "Filter.limsup_piecewise", "Filter.limsup_sdiff", "Filter.limsup_sup_filter", "Filter.lt_mem_sets_of_limsSup_lt", "Filter.map_atBot_eq", "Filter.map_atBot_eq_of_gc", "Filter.map_atTop_eq", "Filter.map_atTop_eq_of_gc", "Filter.map_atTop_finset_prod_le_of_prod_eq", "Filter.map_biInf_eq", "Filter.map_bind", "Filter.map_comap", "Filter.map_comap_of_mem", "Filter.map_comap_of_surjective", "Filter.map_comap_setCoe_val", "Filter.map_comm", "Filter.map_congr", "Filter.map_const_principal_coprod_map_id_principal", "Filter.map_div", "Filter.map_div_atTop_eq_nat", "Filter.map_eq_bot_iff", "Filter.map_eq_comap_of_inverse", "Filter.map_eq_map_iff_of_injOn", "Filter.map_eq_of_inverse", "Filter.map_equiv_symm", "Filter.map_eval_pi", "Filter.map_fst_prod", "Filter.map_iInf_eq", "Filter.map_id", "Filter.map_inf", "Filter.map_inf'", "Filter.map_inf_principal_preimage", "Filter.map_inj", "Filter.map_injective", "Filter.map_inv", "Filter.map_inv'", "Filter.map_le_iff_le_comap", "Filter.map_le_map_iff", "Filter.map_le_map_iff_of_injOn", "Filter.map_lift'_eq", "Filter.map_lift'_eq2", "Filter.map_lift_eq", "Filter.map_lift_eq2", "Filter.map_map", "Filter.map_mapsTo_Iic_iff_mapsTo", "Filter.map_map\u2082", "Filter.map_map\u2082_antidistrib_left", "Filter.map_map\u2082_antidistrib_right", "Filter.map_map\u2082_distrib", "Filter.map_map\u2082_distrib_left", "Filter.map_map\u2082_distrib_right", "Filter.map_map\u2082_right_comm", "Filter.map_mono", "Filter.map_mul_left_cobounded", "Filter.map_mul_right_cobounded", "Filter.map_neBot_iff", "Filter.map_neg_atBot", "Filter.map_one", "Filter.map_one'", "Filter.map_pi_map_coprod\u1d62_le", "Filter.map_principal", "Filter.map_prod", "Filter.map_prod_eq_map\u2082", "Filter.map_prod_map_const_id_principal_coprod_principal", "Filter.map_prod_map_coprod_le", "Filter.map_pure", "Filter.map_pure_prod", "Filter.map_sigma_mk_comap", "Filter.map_smul", "Filter.map_snd_prod", "Filter.map_sub_atTop_eq_nat", "Filter.map_sup", "Filter.map_surjOn_Iic_iff_le_map", "Filter.map_surjOn_Iic_iff_surjOn", "Filter.map_swap4_eq_comap", "Filter.map_swap4_prod", "Filter.map_swap_eq_comap_swap", "Filter.map_top", "Filter.map_val_Ici_atTop", "Filter.map_val_Iic_atBot", "Filter.map_val_Ioi_atTop", "Filter.map_val_atTop_of_Ici_subset", "Filter.map\u2082_assoc", "Filter.map\u2082_bot_right", "Filter.map\u2082_distrib_le_left", "Filter.map\u2082_distrib_le_right", "Filter.map\u2082_div", "Filter.map\u2082_eq_bot_iff", "Filter.map\u2082_inf_subset_left", "Filter.map\u2082_inf_subset_right", "Filter.map\u2082_left", "Filter.map\u2082_left_comm", "Filter.map\u2082_left_identity", "Filter.map\u2082_map_left", "Filter.map\u2082_map_left_anticomm", "Filter.map\u2082_map_left_comm", "Filter.map\u2082_map_right", "Filter.map\u2082_mk_eq_prod", "Filter.map\u2082_mono", "Filter.map\u2082_mono_left", "Filter.map\u2082_mono_right", "Filter.map\u2082_neBot_iff", "Filter.map\u2082_pure_left", "Filter.map\u2082_pure_right", "Filter.map\u2082_right_comm", "Filter.map\u2082_right_identity", "Filter.map\u2082_smul", "Filter.map\u2082_sup_left", "Filter.map\u2082_sup_right", "Filter.map\u2082_swap", "Filter.map\u2082_vsub", "Filter.mem_atBot_sets", "Filter.mem_atTop", "Filter.mem_atTop_sets", "Filter.mem_biInf_of_directed", "Filter.mem_bind", "Filter.mem_bind'", "Filter.mem_bot", "Filter.mem_cardinaleGenerate_iff", "Filter.mem_closure", "Filter.mem_coclosedCompact", "Filter.mem_coclosedCompact_iff", "Filter.mem_coclosed_compact'", "Filter.mem_cocompact", "Filter.mem_cocompact'", "Filter.mem_cocountable", "Filter.mem_cofinite", "Filter.mem_comap", "Filter.mem_comap''", "Filter.mem_comap_iff_compl", "Filter.mem_comap_prod_mk", "Filter.mem_coprod_iff", "Filter.mem_coprod\u1d62_iff", "Filter.mem_copy", "Filter.mem_countableGenerate_iff", "Filter.mem_curry_iff", "Filter.mem_generate_iff", "Filter.mem_generate_of_mem", "Filter.mem_hyperfilter_of_finite_compl", "Filter.mem_iInf", "Filter.mem_iInf'", "Filter.mem_iInf_finite", "Filter.mem_iInf_finset", "Filter.mem_iInf_of_directed", "Filter.mem_iInf_of_finite", "Filter.mem_iInf_of_iInter", "Filter.mem_iInf_of_mem", "Filter.mem_iSup", "Filter.mem_iff_inf_principal_compl", "Filter.mem_iff_ultrafilter", "Filter.mem_inf_iff", "Filter.mem_inf_iff_superset", "Filter.mem_inf_of_inter", "Filter.mem_inf_of_left", "Filter.mem_inf_of_right", "Filter.mem_inf_principal", "Filter.mem_inf_principal'", "Filter.mem_inv", "Filter.mem_join", "Filter.mem_kernMap", "Filter.mem_kernMap_iff_compl", "Filter.mem_lift", "Filter.mem_lift'", "Filter.mem_lift'_sets", "Filter.mem_lift_sets", "Filter.mem_liminf_iff_eventually_mem", "Filter.mem_limsup_iff_frequently_mem", "Filter.mem_map", "Filter.mem_map'", "Filter.mem_map_iff_exists_image", "Filter.mem_map_seq_iff", "Filter.mem_mk", "Filter.mem_mul", "Filter.mem_nhds_iff", "Filter.mem_ofCardinalUnion", "Filter.mem_ofCountableInter", "Filter.mem_ofCountableUnion", "Filter.mem_of_eq_bot", "Filter.mem_of_pi_mem_pi", "Filter.mem_of_superset", "Filter.mem_one", "Filter.mem_pi", "Filter.mem_pi'", "Filter.mem_pi_of_mem", "Filter.mem_pmap", "Filter.mem_principal", "Filter.mem_principal_self", "Filter.mem_prod_iff", "Filter.mem_prod_iff_left", "Filter.mem_prod_iff_right", "Filter.mem_prod_principal", "Filter.mem_prod_self_iff", "Filter.mem_prod_top", "Filter.mem_pure", "Filter.mem_rcomap'", "Filter.mem_sSup", "Filter.mem_seq_def", "Filter.mem_seq_iff", "Filter.mem_sets", "Filter.mem_smul", "Filter.mem_smul_filter", "Filter.mem_sup", "Filter.mem_top", "Filter.mem_top_iff_forall", "Filter.mem_traverse", "Filter.mem_traverse_iff", "Filter.mem_vsub", "Filter.mkOfClosure_sets", "Filter.mono_bliminf", "Filter.mono_bliminf'", "Filter.mono_blimsup", "Filter.mono_blimsup'", "Filter.monotone_lift", "Filter.monotone_mem", "Filter.monotone_nhds", "Filter.monotone_principal", "Filter.monotone_smallSets", "Filter.mp_mem", "Filter.mul.instNeBot", "Filter.mul_add_subset", "Filter.mul_bot", "Filter.mul_eq_bot_iff", "Filter.mul_eq_one_iff", "Filter.mul_mem_mul", "Filter.mul_neBot_iff", "Filter.mul_pure", "Filter.mul_top_of_one_le", "Filter.neBot_iff", "Filter.neBot_inv_iff", "Filter.neBot_of_comap", "Filter.nhds_atBot", "Filter.nhds_atTop", "Filter.nhds_eq", "Filter.nhds_eq'", "Filter.nhds_inf", "Filter.nhds_mono", "Filter.nhds_nhds", "Filter.nhds_principal", "Filter.nhds_pure", "Filter.nmem_hyperfilter_of_finite", "Filter.nonempty_of_mem", "Filter.nonneg_of_eventually_pow_nonneg", "Filter.nontrivial_iff_nonempty", "Filter.not_disjoint_self_iff", "Filter.not_eventually", "Filter.not_frequently", "Filter.not_isBoundedUnder_of_tendsto_atBot", "Filter.not_isBoundedUnder_of_tendsto_atTop", "Filter.not_le", "Filter.not_neBot", "Filter.not_tendsto_const_atTop", "Filter.not_tendsto_iff_exists_frequently_nmem", "Filter.ofSets_filter_eq_generate", "Filter.one_le_div_iff", "Filter.one_mem_one", "Filter.one_neBot", "Filter.one_prod_one", "Filter.pi_eq_bot", "Filter.pi_inf_principal_pi_eq_bot", "Filter.pi_inf_principal_pi_neBot", "Filter.pi_inf_principal_univ_pi_eq_bot", "Filter.pi_inf_principal_univ_pi_neBot", "Filter.pi_inj", "Filter.pi_mem_pi", "Filter.pi_mem_pi_iff", "Filter.pi_mono", "Filter.pi_neBot", "Filter.pi_principal", "Filter.pi_pure", "Filter.pmap_res", "Filter.pow_mem_pow", "Filter.preimage_mem_comap", "Filter.principal_bind", "Filter.principal_coprod_principal", "Filter.principal_empty", "Filter.principal_eq_bot_iff", "Filter.principal_eq_iff_eq", "Filter.principal_eq_map_coe_top", "Filter.principal_isMeasurablyGenerated_iff", "Filter.principal_le_iff", "Filter.principal_le_lift'", "Filter.principal_mono", "Filter.principal_one", "Filter.principal_singleton", "Filter.principal_subtype", "Filter.principal_univ", "Filter.prod_assoc_symm", "Filter.prod_atTop_atTop_eq", "Filter.prod_comap_comap_eq", "Filter.prod_comm'", "Filter.prod_def", "Filter.prod_eq", "Filter.prod_eq_bot", "Filter.prod_iInf_left", "Filter.prod_iInf_right", "Filter.prod_inf", "Filter.prod_inf_prod", "Filter.prod_inj", "Filter.prod_le_prod", "Filter.prod_lift_lift", "Filter.prod_map_atBot_eq", "Filter.prod_map_atTop_eq", "Filter.prod_map_left", "Filter.prod_map_map_eq", "Filter.prod_map_map_eq'", "Filter.prod_map_right", "Filter.prod_map_seq_comm", "Filter.prod_mem_curry", "Filter.prod_mem_prod", "Filter.prod_mono", "Filter.prod_mono_left", "Filter.prod_mono_right", "Filter.prod_neBot", "Filter.prod_principal_principal", "Filter.prod_pure", "Filter.prod_same_eq", "Filter.prod_sup", "Filter.prod_top", "Filter.ptendsto'_def", "Filter.ptendsto'_of_ptendsto", "Filter.ptendsto_def", "Filter.ptendsto_iff_rtendsto", "Filter.ptendsto_of_ptendsto'", "Filter.pureMonoidHom_apply", "Filter.pureMulHom_apply", "Filter.pureOneHom_apply", "Filter.pure_bind", "Filter.pure_div_pure", "Filter.pure_le_iff", "Filter.pure_le_principal", "Filter.pure_mul", "Filter.pure_mul_pure", "Filter.pure_one", "Filter.pure_prod", "Filter.pure_seq_eq_map", "Filter.pure_sets", "Filter.pure_smul", "Filter.pure_smul_pure", "Filter.pure_vsub_pure", "Filter.push_pull", "Filter.push_pull'", "Filter.range_mem_map", "Filter.rcomap'_compose", "Filter.rcomap'_rcomap'", "Filter.rcomap'_sets", "Filter.rcomap_rcomap", "Filter.rmap_rmap", "Filter.rmap_sets", "Filter.rtendsto'_def", "Filter.rtendsto_def", "Filter.rtendsto_iff_le_rcomap", "Filter.sInter_comap_sets", "Filter.sInter_lift'_sets", "Filter.sInter_lift_sets", "Filter.sInter_mem", "Filter.sInter_nhds", "Filter.sSup_sets_eq", "Filter.sdiff_limsup", "Filter.seq_assoc", "Filter.seq_eq_filter_seq", "Filter.seq_mem_seq", "Filter.seq_mono", "Filter.seq_pure", "Filter.sequence_mono", "Filter.set_eventuallyEq_iff_inf_principal", "Filter.set_eventuallyLE_iff_inf_principal_le", "Filter.set_eventuallyLE_iff_mem_inf_principal", "Filter.singleton_mem_pure", "Filter.smallSets_bot", "Filter.smallSets_comap_eq_comap_image", "Filter.smallSets_eq_generate", "Filter.smallSets_iInf", "Filter.smallSets_principal", "Filter.smallSets_top", "Filter.smul.instNeBot", "Filter.smul_bot", "Filter.smul_eq_bot_iff", "Filter.smul_filter_eq_bot_iff", "Filter.smul_filter_le_smul_filter", "Filter.smul_le_smul_right", "Filter.smul_pure", "Filter.smul_set_mem_smul_filter", "Filter.specializes_iff_le", "Filter.strictMono_subseq_of_id_le", "Filter.strictMono_subseq_of_tendsto_atTop", "Filter.subseq_forall_of_frequently", "Filter.subseq_tendsto_of_neBot", "Filter.subsingleton_iff_bot_or_pure", "Filter.subsingleton_iff_exists_le_pure", "Filter.subsingleton_iff_exists_singleton_mem", "Filter.subtype_coe_map_comap", "Filter.sup_bind", "Filter.sup_join", "Filter.sup_liminf", "Filter.sup_limsup", "Filter.sup_neBot", "Filter.sup_principal", "Filter.sup_prod", "Filter.sup_sets_eq", "Filter.tendstoIxxClass_inf", "Filter.tendstoIxxClass_of_subset", "Filter.tendstoIxxClass_principal", "Filter.tendsto_Ici_atTop", "Filter.tendsto_Iic_atBot", "Filter.tendsto_Iio_atBot", "Filter.tendsto_Ioi_atTop", "Filter.tendsto_add_atTop_iff_nat", "Filter.tendsto_add_atTop_nat", "Filter.tendsto_atBot", "Filter.tendsto_atBot'", "Filter.tendsto_atBot_add_const_left", "Filter.tendsto_atBot_add_left_of_ge'", "Filter.tendsto_atBot_add_nonpos_left", "Filter.tendsto_atBot_add_nonpos_left'", "Filter.tendsto_atBot_add_nonpos_right", "Filter.tendsto_atBot_add_right_of_ge", "Filter.tendsto_atBot_add_right_of_ge'", "Filter.tendsto_atBot_atBot", "Filter.tendsto_atBot_atBot_iff_of_monotone", "Filter.tendsto_atBot_atBot_of_monotone", "Filter.tendsto_atBot_atBot_of_monotone'", "Filter.tendsto_atBot_atTop_iff_of_antitone", "Filter.tendsto_atBot_atTop_of_antitone", "Filter.tendsto_atBot_embedding", "Filter.tendsto_atBot_mono", "Filter.tendsto_atBot_of_add_bdd_below_left", "Filter.tendsto_atBot_of_add_bdd_below_left'", "Filter.tendsto_atBot_of_add_bdd_below_right", "Filter.tendsto_atBot_of_add_bdd_below_right'", "Filter.tendsto_atBot_of_add_const_right", "Filter.tendsto_atBot_of_monotone_of_filter", "Filter.tendsto_atBot_pure", "Filter.tendsto_atTop", "Filter.tendsto_atTop'", "Filter.tendsto_atTop_add_const_left", "Filter.tendsto_atTop_add_const_right", "Filter.tendsto_atTop_add_left_of_le", "Filter.tendsto_atTop_add_left_of_le'", "Filter.tendsto_atTop_add_nonneg_left", "Filter.tendsto_atTop_add_nonneg_right", "Filter.tendsto_atTop_add_nonneg_right'", "Filter.tendsto_atTop_add_right_of_le", "Filter.tendsto_atTop_add_right_of_le'", "Filter.tendsto_atTop_atBot", "Filter.tendsto_atTop_atBot_iff_of_antitone", "Filter.tendsto_atTop_atBot_of_antitone", "Filter.tendsto_atTop_atTop", "Filter.tendsto_atTop_atTop_iff_of_monotone", "Filter.tendsto_atTop_atTop_of_monotone", "Filter.tendsto_atTop_atTop_of_monotone'", "Filter.tendsto_atTop_diagonal", "Filter.tendsto_atTop_embedding", "Filter.tendsto_atTop_finset_of_monotone", "Filter.tendsto_atTop_mono", "Filter.tendsto_atTop_mono'", "Filter.tendsto_atTop_of_add_bdd_above_left'", "Filter.tendsto_atTop_of_add_bdd_above_right'", "Filter.tendsto_atTop_of_add_const_left", "Filter.tendsto_atTop_of_monotone_of_filter", "Filter.tendsto_atTop_of_monotone_of_subseq", "Filter.tendsto_atTop_principal", "Filter.tendsto_bot", "Filter.tendsto_cocompact_cocompact_of_norm", "Filter.tendsto_cocompact_mul_left", "Filter.tendsto_cocompact_mul_right", "Filter.tendsto_cocompact_mul_right\u2080", "Filter.tendsto_comap", "Filter.tendsto_comap'_iff", "Filter.tendsto_comap_iff", "Filter.tendsto_comp_val_Ici_atTop", "Filter.tendsto_comp_val_Iic_atBot", "Filter.tendsto_comp_val_Iio_atBot", "Filter.tendsto_comp_val_Ioi_atTop", "Filter.tendsto_congr", "Filter.tendsto_congr'", "Filter.tendsto_const_mul_atBot_iff", "Filter.tendsto_const_mul_atBot_iff_neg", "Filter.tendsto_const_mul_atBot_iff_pos", "Filter.tendsto_const_mul_atBot_of_neg", "Filter.tendsto_const_mul_atBot_of_pos", "Filter.tendsto_const_mul_atTop_iff", "Filter.tendsto_const_mul_atTop_iff_neg", "Filter.tendsto_const_mul_atTop_iff_pos", "Filter.tendsto_const_mul_atTop_of_neg", "Filter.tendsto_const_mul_atTop_of_pos", "Filter.tendsto_const_mul_pow_atBot_iff", "Filter.tendsto_const_mul_pow_atTop_iff", "Filter.tendsto_const_pure", "Filter.tendsto_def", "Filter.tendsto_diag", "Filter.tendsto_div_const_atBot_iff", "Filter.tendsto_div_const_atBot_iff_neg", "Filter.tendsto_div_const_atBot_iff_pos", "Filter.tendsto_div_const_atBot_of_neg", "Filter.tendsto_div_const_atBot_of_pos", "Filter.tendsto_div_const_atTop_iff_neg", "Filter.tendsto_div_const_atTop_iff_pos", "Filter.tendsto_div_const_atTop_of_neg", "Filter.tendsto_div_const_atTop_of_pos", "Filter.tendsto_div_const_iff", "Filter.tendsto_eval_pi", "Filter.tendsto_finset_image_atTop_atTop", "Filter.tendsto_finset_preimage_atTop_atTop", "Filter.tendsto_fst", "Filter.tendsto_iInf", "Filter.tendsto_iInf'", "Filter.tendsto_iInf_iInf", "Filter.tendsto_iSup", "Filter.tendsto_iSup_iSup", "Filter.tendsto_id", "Filter.tendsto_id'", "Filter.tendsto_iff_comap", "Filter.tendsto_iff_eventually", "Filter.tendsto_iff_forall_eventually_mem", "Filter.tendsto_iff_ptendsto", "Filter.tendsto_iff_ptendsto_univ", "Filter.tendsto_iff_rtendsto", "Filter.tendsto_iff_rtendsto'", "Filter.tendsto_iff_seq_tendsto", "Filter.tendsto_iff_ultrafilter", "Filter.tendsto_image_smallSets", "Filter.tendsto_inf", "Filter.tendsto_inf_right", "Filter.tendsto_inv_cobounded", "Filter.tendsto_inv\u2080_cobounded'", "Filter.tendsto_inv\u2080_nhdsWithin_ne_zero", "Filter.tendsto_lift", "Filter.tendsto_lift'", "Filter.tendsto_map'_iff", "Filter.tendsto_mul_const_atBot_iff_neg", "Filter.tendsto_mul_const_atBot_iff_pos", "Filter.tendsto_mul_const_atBot_of_neg", "Filter.tendsto_mul_const_atBot_of_pos", "Filter.tendsto_mul_const_atTop_iff", "Filter.tendsto_mul_const_atTop_iff_neg", "Filter.tendsto_mul_const_atTop_iff_pos", "Filter.tendsto_mul_const_atTop_of_neg", "Filter.tendsto_mul_const_atTop_of_pos", "Filter.tendsto_mul_iff_of_ne_zero", "Filter.tendsto_mul_left_cobounded", "Filter.tendsto_mul_right_cobounded", "Filter.tendsto_mul_self_atTop", "Filter.tendsto_neg_atTop_atBot", "Filter.tendsto_neg_atTop_iff", "Filter.tendsto_nhds", "Filter.tendsto_nhds_atBot", "Filter.tendsto_nhds_atTop", "Filter.tendsto_nhds_atTop_iff", "Filter.tendsto_nhds_max_left", "Filter.tendsto_nhds_max_right", "Filter.tendsto_nhds_min_left", "Filter.tendsto_nhds_min_right", "Filter.tendsto_of_isEmpty", "Filter.tendsto_of_seq_tendsto", "Filter.tendsto_of_subseq_tendsto", "Filter.tendsto_pi", "Filter.tendsto_pow_atTop", "Filter.tendsto_pow_atTop_iff", "Filter.tendsto_principal", "Filter.tendsto_principal_principal", "Filter.tendsto_prodAssoc", "Filter.tendsto_prodAssoc_symm", "Filter.tendsto_prod_iff", "Filter.tendsto_prod_iff'", "Filter.tendsto_prod_self_iff", "Filter.tendsto_prod_swap", "Filter.tendsto_pure", "Filter.tendsto_pure_left", "Filter.tendsto_pure_pure", "Filter.tendsto_pure_self", "Filter.tendsto_smallSets_iff", "Filter.tendsto_snd", "Filter.tendsto_sub_atTop_nat", "Filter.tendsto_sub_const_iff", "Filter.tendsto_sup", "Filter.tendsto_swap4_prod", "Filter.tendsto_zpow_atTop_atTop", "Filter.top_mul_of_one_le", "Filter.top_mul_top", "Filter.top_pow", "Filter.top_prod", "Filter.unbounded_of_tendsto_atBot'", "Filter.unbounded_of_tendsto_atTop", "Filter.unbounded_of_tendsto_atTop'", "Filter.univ_mem", "Filter.univ_mem'", "Filter.vsub.instNeBot", "Filter.vsub_bot", "Filter.vsub_eq_bot_iff", "Filter.vsub_le_vsub_left", "Filter.vsub_le_vsub_right", "Filter.vsub_mem_vsub", "Filter.vsub_neBot_iff", "Filter.zero_smul_filter", "Filter.zero_smul_filter_nonpos", "Filter.zero_zeroAtFilter", "FilterBasis.eq_iInf_principal", "FilterBasis.generate", "FilterBasis.hasBasis", "FilterBasis.mem_filter_iff", "FilterBasis.mem_sets", "Fin.Icc_eq_finset_subtype", "Fin.Iio_castSucc", "Fin.Iio_eq_finset_subtype", "Fin.Iio_last_eq_map", "Fin.Ioi_eq_finset_subtype", "Fin.Ioi_succ", "Fin.Ioi_zero_eq_map", "Fin.addRothNumber_eq_rothNumberNat", "Fin.addRothNumber_le_rothNumberNat", "Fin.add_one_le_of_lt", "Fin.add_zero", "Fin.append_assoc", "Fin.append_cast_right", "Fin.append_comp_rev", "Fin.append_cons", "Fin.append_left", "Fin.append_left_eq_cons", "Fin.append_left_nil", "Fin.append_left_snoc", "Fin.append_rev", "Fin.append_right", "Fin.append_right_cons", "Fin.append_right_eq_snoc", "Fin.append_right_nil", "Fin.append_snoc", "Fin.aux", "Fin.bot_eq_zero", "Fin.card_Icc", "Fin.card_Ici", "Fin.card_Ico", "Fin.card_Iic", "Fin.card_Iio", "Fin.card_Ioc", "Fin.card_Ioi", "Fin.card_Ioo", "Fin.card_filter_univ_eq_vector_get_eq_count", "Fin.card_filter_univ_succ", "Fin.card_filter_univ_succ'", "Fin.card_fintypeIcc", "Fin.card_fintypeIci", "Fin.card_fintypeIio", "Fin.card_fintypeIoc", "Fin.card_fintypeIoi", "Fin.card_fintypeIoo", "Fin.card_fintype_uIcc", "Fin.card_uIcc", "Fin.cases_succ", "Fin.cases_zero", "Fin.castAdd_inj", "Fin.castAdd_injective", "Fin.castAdd_zero", "Fin.castLE_comp_castSucc", "Fin.castLE_inj", "Fin.castLE_injective", "Fin.castLE_rfl", "Fin.castOrderIso_refl", "Fin.castOrderIso_toEquiv", "Fin.castPred_castSucc", "Fin.castPred_inj", "Fin.castPred_le_pred_iff", "Fin.castPred_mk", "Fin.castPred_succAbove", "Fin.castPred_succAbove_castPred", "Fin.castPred_zero", "Fin.castSucc_castLT", "Fin.castSucc_castPred", "Fin.castSucc_eq_zero_iff'", "Fin.castSucc_injective", "Fin.castSucc_le_castSucc_iff", "Fin.castSucc_lt_iff_succ_le", "Fin.castSucc_lt_last", "Fin.castSucc_lt_or_lt_succ", "Fin.castSucc_lt_succ_iff", "Fin.castSucc_ne_zero_of_lt", "Fin.castSucc_pos'", "Fin.castSucc_predAbove_castSucc", "Fin.castSucc_pred_add_one_eq", "Fin.castSucc_pred_eq_pred_castSucc", "Fin.castSucc_pred_lt", "Fin.castSucc_succAbove_castSucc", "Fin.castSucc_zero'", "Fin.cast_eq_self", "Fin.cast_le_cast", "Fin.cast_mk", "Fin.cast_refl", "Fin.cast_rev", "Fin.cast_val_eq_self", "Fin.cast_zero", "Fin.castpred_succ_le_iff", "Fin.coeSucc_eq_succ", "Fin.coe_castLE", "Fin.coe_castPred", "Fin.coe_castSucc", "Fin.coe_clamp", "Fin.coe_covBy_iff", "Fin.coe_cycleRange_of_le", "Fin.coe_cycleRange_of_lt", "Fin.coe_divNat", "Fin.coe_eq_castSucc", "Fin.coe_fin_one", "Fin.coe_inf", "Fin.coe_max", "Fin.coe_min", "Fin.coe_modNat", "Fin.coe_neg", "Fin.coe_neg_one", "Fin.coe_ofNat_eq_mod", "Fin.coe_of_injective_castLE_symm", "Fin.coe_of_injective_castSucc_symm", "Fin.coe_orderIso_apply", "Fin.coe_pred", "Fin.coe_sub_one", "Fin.coe_succ_lt_iff_lt", "Fin.comp_cons", "Fin.comp_init", "Fin.comp_snoc", "Fin.consCases_cons", "Fin.cons_comp_rev", "Fin.cons_eq_append", "Fin.cons_eq_cons", "Fin.cons_injective2", "Fin.cons_injective_iff", "Fin.cons_injective_of_injective", "Fin.cons_le_cons", "Fin.cons_mem_piFinset_cons", "Fin.cons_one", "Fin.cons_rev", "Fin.cons_self_tail", "Fin.cons_snoc_eq_snoc_cons", "Fin.cons_succ", "Fin.cons_update", "Fin.cons_zero", "Fin.contractNth_apply_of_eq", "Fin.contractNth_apply_of_gt", "Fin.contractNth_apply_of_ne", "Fin.cycleRange_apply", "Fin.cycleRange_last", "Fin.cycleRange_of_eq", "Fin.cycleRange_of_gt", "Fin.cycleRange_of_le", "Fin.cycleRange_of_lt", "Fin.cycleRange_succAbove", "Fin.cycleRange_zero", "Fin.cycleType_cycleRange", "Fin.default_eq_zero", "Fin.dist_insertNth_insertNth", "Fin.enum_zero", "Fin.eq_castSucc_or_eq_last", "Fin.eq_insertNth_iff", "Fin.eq_last_of_not_lt", "Fin.eq_one_of_neq_zero", "Fin.eq_zero", "Fin.equivSubtype_symm_trans_valEmbedding", "Fin.equiv_iff_eq", "Fin.eta", "Fin.exists_castSucc_eq", "Fin.exists_castSucc_eq_of_ne_last", "Fin.exists_eq_add_of_le", "Fin.exists_eq_add_of_lt", "Fin.exists_fin_succ_pi", "Fin.exists_fin_zero_pi", "Fin.exists_iff", "Fin.exists_succAbove_eq", "Fin.exists_succ_eq_of_ne_zero", "Fin.ext", "Fin.ext_iff", "Fin.extractNth_insertNth", "Fin.find_eq_none_iff", "Fin.find_eq_some_iff", "Fin.find_min", "Fin.find_min'", "Fin.find_spec", "Fin.foldl_eq_foldl_list", "Fin.foldl_loop", "Fin.foldl_loop_eq", "Fin.foldl_loop_lt", "Fin.foldl_rev", "Fin.foldl_succ", "Fin.foldl_succ_last", "Fin.foldl_zero", "Fin.foldr_eq_foldr_list", "Fin.foldr_loop", "Fin.foldr_loop_succ", "Fin.foldr_loop_zero", "Fin.foldr_rev", "Fin.foldr_succ", "Fin.foldr_succ_last", "Fin.forall_fin_succ", "Fin.forall_fin_succ'", "Fin.forall_fin_succ_pi", "Fin.forall_fin_zero_pi", "Fin.forall_iff_succAbove", "Fin.ge_of_eq", "Fin.getElem_enum", "Fin.getElem_list", "Fin.get_list", "Fin.heq_ext_iff", "Fin.heq_fun_iff", "Fin.heq_fun\u2082_iff", "Fin.image_castSucc", "Fin.image_succAbove_univ", "Fin.init_snoc", "Fin.init_update_castSucc", "Fin.init_update_last", "Fin.insertNth_add", "Fin.insertNth_apply_above", "Fin.insertNth_apply_below", "Fin.insertNth_apply_same", "Fin.insertNth_apply_succAbove", "Fin.insertNth_binop", "Fin.insertNth_comp_rev", "Fin.insertNth_comp_succAbove", "Fin.insertNth_div", "Fin.insertNth_eq_iff", "Fin.insertNth_last", "Fin.insertNth_le_iff", "Fin.insertNth_mem_Icc", "Fin.insertNth_mul", "Fin.insertNth_rev", "Fin.insertNth_sub", "Fin.insertNth_sub_same", "Fin.insertNth_zero", "Fin.insertNth_zero'", "Fin.insertNth_zero_right", "Fin.inv_partialProd_mul_eq_contractNth", "Fin.isAddFreimanIso_Iic", "Fin.isAddFreimanIso_Iio", "Fin.isCycle_cycleRange", "Fin.isSome_find_iff", "Fin.isThreeCycle_cycleRange_two", "Fin.is_lt", "Fin.last_pos'", "Fin.last_sub", "Fin.le_antisymm", "Fin.le_antisymm_iff", "Fin.le_castPred_iff", "Fin.le_cons", "Fin.le_def", "Fin.le_iff_val_le_val", "Fin.le_insertNth_iff", "Fin.le_last", "Fin.le_of_castSucc_lt_of_succ_lt", "Fin.le_of_eq", "Fin.le_of_lt", "Fin.le_or_lt", "Fin.le_pred_iff", "Fin.le_rev_iff", "Fin.le_rfl", "Fin.le_sub_one_iff", "Fin.le_zero_iff'", "Fin.leftInverse_cast", "Fin.left_distrib_aux", "Fin.liftFun_iff_succ", "Fin.list_reverse", "Fin.list_succ", "Fin.list_succ_last", "Fin.list_zero", "Fin.lt_castPred_iff", "Fin.lt_castPred_succ", "Fin.lt_castPred_succ_iff", "Fin.lt_iff_le_and_ne", "Fin.lt_last_iff_ne_last", "Fin.lt_of_le_of_lt", "Fin.lt_of_lt_of_le", "Fin.lt_or_eq_of_le", "Fin.lt_or_le", "Fin.lt_pred_iff", "Fin.lt_rev_iff", "Fin.lt_sub_one_iff", "Fin.lt_succAbove_iff_le_castSucc", "Fin.lt_succ_castPred", "Fin.lt_succ_castPred_iff", "Fin.map_subtype_embedding_uIcc", "Fin.map_valEmbedding_Icc", "Fin.map_valEmbedding_Ici", "Fin.map_valEmbedding_Ico", "Fin.map_valEmbedding_Iic", "Fin.map_valEmbedding_Iio", "Fin.map_valEmbedding_Ioc", "Fin.map_valEmbedding_Ioi", "Fin.map_valEmbedding_Ioo", "Fin.map_valEmbedding_univ", "Fin.max_val", "Fin.mem_find_iff", "Fin.mem_find_of_unique", "Fin.mem_piFinset_succ", "Fin.mem_piFinset_succ'", "Fin.min_val", "Fin.mk_bit0", "Fin.mk_bit1", "Fin.mk_eq_mk", "Fin.mk_zero", "Fin.modNat_rev", "Fin.monotone_castPred_comp", "Fin.monotone_pred_comp", "Fin.mul_one'", "Fin.mul_zero'", "Fin.natCast_eq_last", "Fin.natCast_eq_zero", "Fin.natCast_le_natCast", "Fin.natCast_lt_natCast", "Fin.natCast_mono", "Fin.natCast_self", "Fin.natCast_strictMono", "Fin.nat_find_mem_find", "Fin.ne_iff_vne", "Fin.ne_last_of_lt", "Fin.ne_of_vne", "Fin.ne_zero_of_lt", "Fin.neg_last", "Fin.neg_natCast_eq_one", "Fin.nndist_insertNth_insertNth", "Fin.nonempty_embedding_iff", "Fin.nontrivial_iff_two_le", "Fin.not_lt_zero", "Fin.ofNat''_eq_cast", "Fin.ofNat'_zero", "Fin.one_lt_last", "Fin.one_pos'", "Fin.one_succAbove_one", "Fin.one_succAbove_succ", "Fin.one_succAbove_zero", "Fin.orderEmbedding_eq", "Fin.partialProd_left_inv", "Fin.partialProd_right_inv", "Fin.partialProd_succ", "Fin.partialProd_succ'", "Fin.partialProd_zero", "Fin.pi_lex_lt_cons_cons", "Fin.pos_iff_ne_zero'", "Fin.pos_iff_nonempty", "Fin.predAbove_castPred_of_le", "Fin.predAbove_castPred_of_lt", "Fin.predAbove_castPred_self", "Fin.predAbove_castSucc_of_le", "Fin.predAbove_castSucc_of_lt", "Fin.predAbove_last_apply", "Fin.predAbove_last_castSucc", "Fin.predAbove_last_of_ne_last", "Fin.predAbove_left_monotone", "Fin.predAbove_of_castSucc_lt", "Fin.predAbove_of_le_castSucc", "Fin.predAbove_of_lt_succ", "Fin.predAbove_pred_of_le", "Fin.predAbove_pred_of_lt", "Fin.predAbove_rev_left", "Fin.predAbove_rev_right", "Fin.predAbove_right_last", "Fin.predAbove_right_monotone", "Fin.predAbove_right_zero", "Fin.predAbove_succAbove", "Fin.predAbove_succ_of_le", "Fin.predAbove_succ_of_lt", "Fin.predAbove_succ_self", "Fin.predAbove_zero", "Fin.predAbove_zero_succ", "Fin.pred_apply", "Fin.pred_castSucc_lt", "Fin.pred_castSucc_lt_iff", "Fin.pred_eq", "Fin.pred_last", "Fin.pred_le_iff", "Fin.pred_lt_castPred", "Fin.pred_lt_iff", "Fin.pred_one'", "Fin.pred_succ", "Fin.pred_succAbove", "Fin.pred_succAbove_pred", "Fin.preimage_apply_01_prod", "Fin.preimage_apply_01_prod'", "Fin.preimage_insertNth_Icc_of_mem", "Fin.preimage_insertNth_Icc_of_not_mem", "Fin.prod_Ioi_succ", "Fin.prod_Ioi_zero", "Fin.prod_congr'", "Fin.prod_cons", "Fin.prod_const", "Fin.prod_ofFn", "Fin.prod_trunc", "Fin.prod_univ_add", "Fin.prod_univ_castSucc", "Fin.prod_univ_def", "Fin.prod_univ_eq_prod_range", "Fin.prod_univ_five", "Fin.prod_univ_get", "Fin.prod_univ_get'", "Fin.prod_univ_one", "Fin.prod_univ_six", "Fin.prod_univ_succ", "Fin.prod_univ_succAbove", "Fin.prod_univ_three", "Fin.prod_univ_two", "Fin.prod_univ_two'", "Fin.prod_univ_zero", "Fin.prop", "Fin.range_castLE", "Fin.range_castSucc", "Fin.range_cons", "Fin.range_succ", "Fin.repeat_add", "Fin.repeat_apply", "Fin.repeat_comp_rev", "Fin.repeat_one", "Fin.repeat_rev", "Fin.repeat_succ", "Fin.repeat_zero", "Fin.rev_bijective", "Fin.rev_bot", "Fin.rev_castPred", "Fin.rev_eq_iff", "Fin.rev_injective", "Fin.rev_involutive", "Fin.rev_last_eq_bot", "Fin.rev_le_iff", "Fin.rev_lt_iff", "Fin.rev_pred", "Fin.rev_predAbove", "Fin.rev_rev", "Fin.rev_succ", "Fin.rev_succAbove", "Fin.rev_surjective", "Fin.rev_zero_eq_top", "Fin.rightInverse_cast", "Fin.sigma_eq_iff_eq_comp_cast", "Fin.sigma_eq_of_eq_comp_cast", "Fin.sign_cycleRange", "Fin.size_enum", "Fin.snocCases_snoc", "Fin.snoc_castSucc", "Fin.snoc_cast_add", "Fin.snoc_comp_castSucc", "Fin.snoc_comp_cast_add", "Fin.snoc_comp_nat_add", "Fin.snoc_eq_append", "Fin.snoc_eq_cons_rotate", "Fin.snoc_init_self", "Fin.snoc_last", "Fin.snoc_mem_piFinset_snoc", "Fin.snoc_rev", "Fin.snoc_update", "Fin.snoc_zero", "Fin.strictAnti_iff_succ_lt", "Fin.strictMono_addNat", "Fin.strictMono_castLE", "Fin.strictMono_castPred_comp", "Fin.strictMono_iff_lt_succ", "Fin.strictMono_natAdd", "Fin.strictMono_pred_comp", "Fin.strictMono_succ", "Fin.strictMono_succAbove", "Fin.strictMono_unique", "Fin.sub_one_lt_iff", "Fin.succAbove_cases_eq_insertNth", "Fin.succAbove_castPred_of_le", "Fin.succAbove_castPred_of_lt", "Fin.succAbove_castPred_self", "Fin.succAbove_castSucc_of_lt", "Fin.succAbove_castSucc_self", "Fin.succAbove_cycleRange", "Fin.succAbove_last", "Fin.succAbove_last_apply", "Fin.succAbove_left_inj", "Fin.succAbove_left_injective", "Fin.succAbove_lt_iff_castSucc_lt", "Fin.succAbove_lt_iff_succ_le", "Fin.succAbove_ne", "Fin.succAbove_ne_last", "Fin.succAbove_ne_last_last", "Fin.succAbove_ne_zero", "Fin.succAbove_ne_zero_zero", "Fin.succAbove_of_castSucc_lt", "Fin.succAbove_of_le_castSucc", "Fin.succAbove_of_lt_succ", "Fin.succAbove_of_succ_le", "Fin.succAbove_pos", "Fin.succAbove_predAbove", "Fin.succAbove_pred_of_le", "Fin.succAbove_pred_of_lt", "Fin.succAbove_pred_self", "Fin.succAbove_rev_left", "Fin.succAbove_rev_right", "Fin.succAbove_right_inj", "Fin.succAbove_right_injective", "Fin.succAbove_succ_of_le", "Fin.succAbove_succ_of_lt", "Fin.succAbove_succ_self", "Fin.succAbove_zero", "Fin.succAbove_zero_apply", "Fin.succ_apply", "Fin.succ_castPred_eq_add_one", "Fin.succ_castPred_eq_castPred_succ", "Fin.succ_castPred_le_iff", "Fin.succ_castSucc", "Fin.succ_inj", "Fin.succ_injective", "Fin.succ_last", "Fin.succ_le_castSucc_iff", "Fin.succ_le_or_le_castSucc", "Fin.succ_lt_succ_iff", "Fin.succ_ne_last_of_lt", "Fin.succ_ne_zero", "Fin.succ_one_eq_two", "Fin.succ_one_eq_two'", "Fin.succ_pos", "Fin.succ_pred", "Fin.succ_predAbove_succ", "Fin.succ_predAbove_zero", "Fin.succ_succAbove_succ", "Fin.succ_succAbove_zero", "Fin.succ_zero_eq_one", "Fin.succ_zero_eq_one'", "Fin.sum_const", "Fin.sum_pow_mul_eq_add_pow", "Fin.symm_castOrderIso", "Fin.tail_cons", "Fin.tail_def", "Fin.tail_init_eq_init_tail", "Fin.tail_update_succ", "Fin.tail_update_zero", "Fin.top_eq_last", "Fin.tuple0_le", "Fin.uIcc_eq_finset_subtype", "Fin.univ_castSuccEmb", "Fin.univ_def", "Fin.univ_image_getElem'", "Fin.univ_succ", "Fin.univ_succAbove", "Fin.univ_val_map", "Fin.update_cons_zero", "Fin.update_snoc_last", "Fin.val_add", "Fin.val_add_eq_ite", "Fin.val_add_one_of_lt", "Fin.val_bit0", "Fin.val_bit1", "Fin.val_eq_of_eq", "Fin.val_eq_val", "Fin.val_fin_le", "Fin.val_fin_lt", "Fin.val_inj", "Fin.val_injective", "Fin.val_mk", "Fin.val_natCast", "Fin.val_one", "Fin.val_one'", "Fin.val_one''", "Fin.val_rev_zero", "Fin.val_succ", "Fin.val_succEmb", "Fin.val_zero", "Fin.val_zero'", "Fin.vne_of_ne", "Fin.zero_add", "Fin.zero_eq_one_iff", "Fin.zero_le", "Fin.zero_mul'", "Fin.zero_ne_one'", "Fin.zero_succAbove", "Fin2.rev_castSucc", "Fin2.rev_involutive", "Fin2.rev_last", "FinEnum.Finset.mem_enum", "FinEnum.mem_pi", "FinEnum.mem_toList", "FinEnum.nodup_toList", "FinEnum.pi.mem_enum", "FinVec.exists_iff", "FinVec.forall_iff", "FinVec.map_eq", "FinVec.seq_eq", "FinVec.sum_eq", "Finite.Set.finite_biUnion", "Finite.bddAbove_range", "Finite.card_eq", "Finite.card_eq_zero_iff", "Finite.card_eq_zero_of_injective", "Finite.card_eq_zero_of_surjective", "Finite.card_image_le", "Finite.card_le_of_embedding", "Finite.card_le_of_embedding'", "Finite.card_le_of_injective", "Finite.card_le_of_surjective", "Finite.card_le_of_surjective'", "Finite.card_le_one_iff_subsingleton", "Finite.card_option", "Finite.card_pos", "Finite.card_pos_iff", "Finite.card_range_le", "Finite.card_subtype_le", "Finite.card_subtype_lt", "Finite.card_sum", "Finite.cast_card_eq_mk", "Finite.exists_equiv_fin", "Finite.exists_ge", "Finite.exists_infinite_fiber", "Finite.exists_le", "Finite.exists_max", "Finite.exists_min", "Finite.exists_ne_map_eq_of_infinite", "Finite.exists_type_zero_nonempty_mulEquiv", "Finite.exists_univ_list", "Finite.false", "Finite.induction_empty_option", "Finite.injective_iff_bijective", "Finite.injective_iff_surjective", "Finite.injective_iff_surjective_of_equiv", "Finite.isDomain_to_isField", "Finite.isField_of_domain", "Finite.ofBijective", "Finite.of_forall_not_lt_lt", "Finite.of_injective", "Finite.of_injective_finite_range", "Finite.of_summable_const", "Finite.of_surjective", "Finite.one_lt_card", "Finite.one_lt_card_iff_nontrivial", "Finite.prod_right", "Finite.sum_left", "Finite.sum_right", "Finite.surjective_iff_bijective", "Finite.surjective_of_injective", "Finite.wellFounded_of_trans_of_irrefl", "FiniteDimensional.Subalgebra.isSimpleOrder_of_finrank_prime", "FiniteDimensional.basisUnique_repr_eq_zero_iff", "FiniteDimensional.complete", "FiniteDimensional.eq_of_le_of_finrank_eq", "FiniteDimensional.eq_of_le_of_finrank_le", "FiniteDimensional.exists_is_basis_integral", "FiniteDimensional.exists_mul_eq_one", "FiniteDimensional.exists_relation_sum_zero_pos_coefficient_of_finrank_succ_lt_card", "FiniteDimensional.finiteDimensional_iff_of_rank_eq_nsmul", "FiniteDimensional.finite_of_finite", "FiniteDimensional.finrank_directSum", "FiniteDimensional.finrank_eq_card_basis", "FiniteDimensional.finrank_eq_card_basis'", "FiniteDimensional.finrank_eq_card_chooseBasisIndex", "FiniteDimensional.finrank_eq_card_finset_basis", "FiniteDimensional.finrank_eq_of_rank_eq", "FiniteDimensional.finrank_eq_zero_iff", "FiniteDimensional.finrank_eq_zero_of_rank_eq_zero", "FiniteDimensional.finrank_fin_fun", "FiniteDimensional.finrank_finsupp", "FiniteDimensional.finrank_finsupp_self", "FiniteDimensional.finrank_fintype_fun_eq_card", "FiniteDimensional.finrank_le_finrank_of_rank_le_rank", "FiniteDimensional.finrank_le_of_rank_le", "FiniteDimensional.finrank_linearMap", "FiniteDimensional.finrank_linearMap_self", "FiniteDimensional.finrank_lt_of_rank_lt", "FiniteDimensional.finrank_matrix", "FiniteDimensional.finrank_mul_finrank", "FiniteDimensional.finrank_of_infinite_dimensional", "FiniteDimensional.finrank_of_not_finite", "FiniteDimensional.finrank_pi", "FiniteDimensional.finrank_pi_fintype", "FiniteDimensional.finrank_pos", "FiniteDimensional.finrank_pos_iff", "FiniteDimensional.finrank_pos_iff_exists_ne_zero", "FiniteDimensional.finrank_prod", "FiniteDimensional.finrank_self", "FiniteDimensional.finrank_tensorProduct", "FiniteDimensional.finrank_zero_iff", "FiniteDimensional.finrank_zero_of_subsingleton", "FiniteDimensional.lt_rank_of_lt_finrank", "FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq", "FiniteDimensional.nonempty_linearEquiv_iff_finrank_eq", "FiniteDimensional.nonempty_linearEquiv_of_finrank_eq", "FiniteDimensional.nontrivial_of_finrank_eq_succ", "FiniteDimensional.nontrivial_of_finrank_pos", "FiniteDimensional.of_fact_finrank_eq_succ", "FiniteDimensional.of_fact_finrank_eq_two", "FiniteDimensional.of_finrank_eq_succ", "FiniteDimensional.of_fintype_basis", "FiniteDimensional.of_injective", "FiniteDimensional.of_isCompact_closedBall", "FiniteDimensional.of_isCompact_closedBall\u2080", "FiniteDimensional.of_locallyCompactSpace", "FiniteDimensional.of_rank_eq_nat", "FiniteDimensional.of_rank_eq_one", "FiniteDimensional.of_surjective", "FiniteDimensional.one_lt_rank_of_one_lt_finrank", "FiniteDimensional.proper", "FiniteDimensional.proper_rclike", "FiniteDimensional.range_basisSingleton", "FiniteDimensional.rank_eq_ofNat_iff_finrank_eq_ofNat", "FiniteDimensional.rank_linearMap", "FiniteDimensional.rank_linearMap_self", "FiniteDimensional.right", "FiniteDimensional.span_of_finite", "FiniteField.Matrix.charpoly_pow_card", "FiniteField.X_pow_card_sub_X_natDegree_eq", "FiniteField.X_pow_card_sub_X_ne_zero", "FiniteField.card", "FiniteField.card_cast_subgroup_card_ne_zero", "FiniteField.card_image_polynomial_eval", "FiniteField.even_card_iff_char_two", "FiniteField.even_card_of_char_two", "FiniteField.exists_nonsquare", "FiniteField.exists_root_sum_quadratic", "FiniteField.expand_card", "FiniteField.forall_pow_eq_one_iff", "FiniteField.frobenius_pow", "FiniteField.isSquare_iff", "FiniteField.isSquare_neg_one_iff", "FiniteField.isSquare_neg_two_iff", "FiniteField.isSquare_odd_prime_iff", "FiniteField.isSquare_of_char_two", "FiniteField.isSquare_two_iff", "FiniteField.odd_card_of_char_ne_two", "FiniteField.pow_card", "FiniteField.pow_card_pow", "FiniteField.pow_card_sub_one_eq_one", "FiniteField.pow_dichotomy", "FiniteField.prod_univ_units_id_eq_neg_one", "FiniteField.roots_X_pow_card_sub_X", "FiniteField.sum_pow_lt_card_sub_one", "FiniteField.sum_pow_units", "FiniteField.sum_subgroup_pow_eq_zero", "FiniteField.sum_subgroup_units", "FiniteField.sum_subgroup_units_eq_zero", "FiniteField.trace_pow_card", "FiniteField.trace_to_zmod_nondegenerate", "FiniteField.two_pow_card", "FiniteField.unit_isSquare_iff", "FiniteInter.finiteInterClosure_finiteInter", "FiniteInter.finiteInterClosure_insert", "FiniteInter.finiteInter_mem", "Finmap.Disjoint.symm", "Finmap.Disjoint.symm_iff", "Finmap.disjoint_union_left", "Finmap.disjoint_union_right", "Finmap.dlookup_list_toFinmap", "Finmap.empty_toFinmap", "Finmap.empty_union", "Finmap.erase_erase", "Finmap.erase_toFinmap", "Finmap.erase_union_singleton", "Finmap.ext", "Finmap.ext_iff", "Finmap.ext_lookup", "Finmap.extract_eq_lookup_erase", "Finmap.induction_on\u2082", "Finmap.induction_on\u2083", "Finmap.insert_entries_of_neg", "Finmap.insert_insert", "Finmap.insert_insert_of_ne", "Finmap.insert_singleton_eq", "Finmap.insert_toFinmap", "Finmap.keysLookupEquiv_symm_apply_keys", "Finmap.keysLookupEquiv_symm_apply_lookup", "Finmap.keys_empty", "Finmap.keys_erase_toFinset", "Finmap.keys_ext", "Finmap.keys_replace", "Finmap.liftOn\u2082_toFinmap", "Finmap.lookup_empty", "Finmap.lookup_eq_none", "Finmap.lookup_eq_some_iff", "Finmap.lookup_erase", "Finmap.lookup_insert", "Finmap.lookup_insert_of_ne", "Finmap.lookup_isSome", "Finmap.lookup_singleton_eq", "Finmap.lookup_toFinmap", "Finmap.lookup_union_left", "Finmap.lookup_union_left_of_not_in", "Finmap.lookup_union_right", "Finmap.mem_erase", "Finmap.mem_iff", "Finmap.mem_insert", "Finmap.mem_keys", "Finmap.mem_list_toFinmap", "Finmap.mem_lookup_iff", "Finmap.mem_lookup_union", "Finmap.mem_lookup_union_middle", "Finmap.mem_of_lookup_eq_some", "Finmap.mem_replace", "Finmap.mem_singleton", "Finmap.mem_toFinmap", "Finmap.mem_union", "Finmap.not_mem_empty", "Finmap.not_mem_erase_self", "Finmap.sigma_keys_lookup", "Finmap.toFinmap_cons", "Finmap.toFinmap_nil", "Finmap.union_assoc", "Finmap.union_cancel", "Finmap.union_comm_of_disjoint", "Finmap.union_empty", "Finmap.union_toFinmap", "Finpartition.IsEquipartition.average_le_card_part", "Finpartition.IsEquipartition.card_biUnion_offDiag_le", "Finpartition.IsEquipartition.card_biUnion_offDiag_le'", "Finpartition.IsEquipartition.card_interedges_sparsePairs_le", "Finpartition.IsEquipartition.card_interedges_sparsePairs_le'", "Finpartition.IsEquipartition.card_large_parts_eq_mod", "Finpartition.IsEquipartition.card_part_eq_average_iff", "Finpartition.IsEquipartition.card_part_le_average_add_one", "Finpartition.IsEquipartition.card_parts_eq_average", "Finpartition.IsEquipartition.card_small_parts_eq_mod", "Finpartition.IsEquipartition.exists_partPreservingEquiv", "Finpartition.IsEquipartition.exists_partsEquiv", "Finpartition.IsEquipartition.filter_ne_average_add_one_eq_average", "Finpartition.IsEquipartition.sum_nonUniforms_lt", "Finpartition.IsEquipartition.sum_nonUniforms_lt'", "Finpartition.atomise_empty", "Finpartition.aux", "Finpartition.biUnion_filter_atomise", "Finpartition.biUnion_parts", "Finpartition.bot_isEquipartition", "Finpartition.bot_isUniform", "Finpartition.card_atomise_le", "Finpartition.card_bind", "Finpartition.card_bot", "Finpartition.card_eq_of_mem_parts_equitabilise", "Finpartition.card_extend", "Finpartition.card_filter_atomise_le_two_pow", "Finpartition.card_filter_equitabilise_big", "Finpartition.card_filter_equitabilise_small", "Finpartition.card_mod_card_parts_le", "Finpartition.card_mono", "Finpartition.card_parts_equitabilise", "Finpartition.card_parts_equitabilise_subset_le", "Finpartition.card_parts_le_card", "Finpartition.default_eq_empty", "Finpartition.energy_le_one", "Finpartition.energy_nonneg", "Finpartition.eq_of_mem_parts", "Finpartition.equitabilise_aux", "Finpartition.existsUnique_mem", "Finpartition.exists_enumeration", "Finpartition.exists_equipartition_card_eq", "Finpartition.exists_le_of_le", "Finpartition.exists_mem", "Finpartition.exists_subset_part_bijOn", "Finpartition.indiscrete_isEquipartition", "Finpartition.isEquipartition_iff_card_parts_eq_average", "Finpartition.isUniformOfEmpty", "Finpartition.isUniform_one", "Finpartition.le", "Finpartition.mem_atomise", "Finpartition.mem_avoid", "Finpartition.mem_bind", "Finpartition.mem_part_iff_part_eq_part", "Finpartition.mem_part_ofSetoid_iff_rel", "Finpartition.mk_mem_nonUniforms", "Finpartition.mk_mem_sparsePairs", "Finpartition.ne_bot", "Finpartition.nonUniforms_bot", "Finpartition.nonempty_of_mem_parts", "Finpartition.nonempty_of_not_uniform", "Finpartition.nonuniformWitness_mem_nonuniformWitnesses", "Finpartition.not_isEquipartition", "Finpartition.part_surjOn", "Finpartition.parts_bot", "Finpartition.parts_eq_empty_iff", "Finpartition.parts_inf", "Finpartition.parts_nonempty_iff", "Finpartition.parts_top_subset", "Finpartition.parts_top_subsingleton", "Finpartition.sparsePairs_mono", "Finpartition.sum_card_parts", "Finpartition.top_isEquipartition", "Finset.Colex.IsInitSeg.exists_initSeg", "Finset.Colex.IsInitSeg.total", "Finset.Colex.antisymm_aux", "Finset.Colex.forall_le_mono", "Finset.Colex.forall_lt_mono", "Finset.Colex.initSeg_nonempty", "Finset.Colex.isInitSeg_iff_exists_initSeg", "Finset.Colex.isInitSeg_initSeg", "Finset.Colex.le_def", "Finset.Colex.le_iff_max'_mem", "Finset.Colex.le_iff_sdiff_subset_lowerClosure", "Finset.Colex.lt_iff_exists_forall_lt", "Finset.Colex.lt_iff_max'_mem", "Finset.Colex.ofColex_bot", "Finset.Colex.singleton_le_singleton", "Finset.Colex.singleton_lt_singleton", "Finset.Colex.toColex_empty", "Finset.Colex.toColex_image_le_toColex_image", "Finset.Colex.toColex_image_lt_toColex_image", "Finset.Colex.toColex_image_ofColex_strictMono", "Finset.Colex.toColex_le_singleton", "Finset.Colex.toColex_le_toColex", "Finset.Colex.toColex_le_toColex_iff_max'_mem", "Finset.Colex.toColex_le_toColex_of_subset", "Finset.Colex.toColex_lt_singleton", "Finset.Colex.toColex_lt_toColex", "Finset.Colex.toColex_lt_toColex_iff_exists_forall_lt", "Finset.Colex.toColex_lt_toColex_iff_max'_mem", "Finset.Colex.toColex_sdiff_le_toColex_sdiff", "Finset.Colex.toColex_sdiff_le_toColex_sdiff'", "Finset.Colex.toColex_sdiff_lt_toColex_sdiff", "Finset.Colex.toColex_sdiff_lt_toColex_sdiff'", "Finset.Colex.toColex_strictMono", "Finset.Colex.trans_aux", "Finset.EquitableOn.le_add_one", "Finset.Icc_diff_Ico_self", "Finset.Icc_diff_Ioc_self", "Finset.Icc_diff_Ioo_self", "Finset.Icc_diff_both", "Finset.Icc_eq_cons_Ico", "Finset.Icc_eq_cons_Ioc", "Finset.Icc_eq_empty_iff", "Finset.Icc_eq_empty_of_lt", "Finset.Icc_eq_filter_powerset", "Finset.Icc_eq_image_powerset", "Finset.Icc_eq_singleton_iff", "Finset.Icc_erase_left", "Finset.Icc_erase_right", "Finset.Icc_filter_lt_of_lt_right", "Finset.Icc_min_max", "Finset.Icc_mul_Ico_subset'", "Finset.Icc_neg_mono", "Finset.Icc_self", "Finset.Icc_ssubset_Icc_left", "Finset.Icc_ssubset_Icc_right", "Finset.Icc_subset_Icc", "Finset.Icc_subset_Icc_iff", "Finset.Icc_subset_Icc_right", "Finset.Icc_subset_Ici_self", "Finset.Icc_subset_Ico_iff", "Finset.Icc_subset_Ico_right", "Finset.Icc_subset_Iic_self", "Finset.Icc_subset_Ioc_iff", "Finset.Icc_subset_Ioo_iff", "Finset.Ici_eq_cons_Ioi", "Finset.Ici_erase", "Finset.Ici_mul_Ioi_subset'", "Finset.Ico_diff_Ico_left", "Finset.Ico_diff_Ico_right", "Finset.Ico_diff_Ioo_self", "Finset.Ico_disjoint_Ico_consecutive", "Finset.Ico_eq_cons_Ioo", "Finset.Ico_eq_empty_iff", "Finset.Ico_eq_empty_of_le", "Finset.Ico_eq_filter_ssubsets", "Finset.Ico_eq_image_ssubsets", "Finset.Ico_erase_left", "Finset.Ico_filter_le", "Finset.Ico_filter_le_left", "Finset.Ico_filter_le_of_le_left", "Finset.Ico_filter_le_of_left_le", "Finset.Ico_filter_le_of_right_le", "Finset.Ico_filter_lt", "Finset.Ico_filter_lt_of_le_right", "Finset.Ico_insert_right", "Finset.Ico_inter_Ico", "Finset.Ico_inter_Ico_consecutive", "Finset.Ico_subset_Icc_self", "Finset.Ico_subset_Ici_self", "Finset.Ico_subset_Ico", "Finset.Ico_subset_Ico_iff", "Finset.Ico_subset_Ico_union_Ico", "Finset.Ico_subset_Iic_self", "Finset.Ico_subset_Iio_self", "Finset.Ico_subset_Ioo_left", "Finset.Ico_union_Ico", "Finset.Ico_union_Ico'", "Finset.Ico_union_Ico_eq_Ico", "Finset.Iic_eq_Icc", "Finset.Iic_eq_cons_Iio", "Finset.Iic_eq_powerset", "Finset.Iic_erase", "Finset.Iic_filter_lt_of_lt_right", "Finset.Iic_mul_Iio_subset'", "Finset.Iio_eq_Ico", "Finset.Iio_eq_ssubsets", "Finset.Iio_filter_lt", "Finset.Iio_insert", "Finset.Iio_mul_Iic_subset'", "Finset.Iio_subset_Iic_self", "Finset.Insert.comm", "Finset.Ioc_diff_Ioo_self", "Finset.Ioc_eq_cons_Ioo", "Finset.Ioc_eq_empty_iff", "Finset.Ioc_eq_empty_of_le", "Finset.Ioc_eq_filter_powerset", "Finset.Ioc_erase_right", "Finset.Ioc_insert_left", "Finset.Ioc_mul_Ico_subset'", "Finset.Ioc_self", "Finset.Ioc_subset_Icc_self", "Finset.Ioc_subset_Ici_self", "Finset.Ioc_subset_Iic_self", "Finset.Ioc_subset_Ioc", "Finset.Ioc_subset_Ioc_left", "Finset.Ioc_subset_Ioc_right", "Finset.Ioc_subset_Ioi_self", "Finset.Ioc_subset_Ioo_right", "Finset.Ioc_union_Ioc_eq_Ioc", "Finset.Ioi_disjUnion_Iio", "Finset.Ioi_insert", "Finset.Ioi_subset_Ici_self", "Finset.Ioo_eq_empty", "Finset.Ioo_eq_empty_iff", "Finset.Ioo_eq_empty_of_le", "Finset.Ioo_eq_filter_ssubsets", "Finset.Ioo_filter_lt", "Finset.Ioo_insert_left", "Finset.Ioo_insert_right", "Finset.Ioo_self", "Finset.Ioo_subset_Ici_self", "Finset.Ioo_subset_Ico_self", "Finset.Ioo_subset_Iic_self", "Finset.Ioo_subset_Iio_self", "Finset.Ioo_subset_Ioc_self", "Finset.Ioo_subset_Ioi_self", "Finset.Ioo_subset_Ioo", "Finset.Ioo_subset_Ioo_right", "Finset.IsAntichain.disjoint_slice_shadow_falling", "Finset.IsAntichain.sperner", "Finset.MulETransform.card", "Finset.Nat.antidiagonal.fst_lt", "Finset.Nat.antidiagonal.snd_lt", "Finset.Nat.antidiagonalTuple_one", "Finset.Nat.antidiagonalTuple_two", "Finset.Nat.antidiagonalTuple_zero_succ", "Finset.Nat.antidiagonalTuple_zero_zero", "Finset.Nat.antidiagonal_eq_image", "Finset.Nat.antidiagonal_eq_image'", "Finset.Nat.antidiagonal_eq_map", "Finset.Nat.antidiagonal_eq_map'", "Finset.Nat.antidiagonal_filter_fst_le_of_le", "Finset.Nat.antidiagonal_filter_le_fst_of_le", "Finset.Nat.antidiagonal_filter_le_snd_of_le", "Finset.Nat.antidiagonal_filter_snd_le_of_le", "Finset.Nat.antidiagonal_succ", "Finset.Nat.antidiagonal_succ'", "Finset.Nat.antidiagonal_succ_succ'", "Finset.Nat.card_antidiagonal", "Finset.Nat.mem_antidiagonalTuple", "Finset.Nat.prod_antidiagonal_eq_prod_range_succ", "Finset.Nat.prod_antidiagonal_eq_prod_range_succ_mk", "Finset.Nat.prod_antidiagonal_subst", "Finset.Nat.prod_antidiagonal_succ", "Finset.Nat.prod_antidiagonal_succ'", "Finset.Nat.prod_antidiagonal_swap", "Finset.Nat.sum_antidiagonal_succ'", "Finset.Nonempty.biUnion", "Finset.Nonempty.cons_induction", "Finset.Nonempty.csInf_eq_min'", "Finset.Nonempty.csSup_eq_max'", "Finset.Nonempty.csSup_mem", "Finset.Nonempty.diffs", "Finset.Nonempty.div", "Finset.Nonempty.div_zero", "Finset.Nonempty.exists_cons_eq", "Finset.Nonempty.exists_mem", "Finset.Nonempty.forall_const", "Finset.Nonempty.fst", "Finset.Nonempty.image", "Finset.Nonempty.image_iff", "Finset.Nonempty.inl", "Finset.Nonempty.inr", "Finset.Nonempty.mono", "Finset.Nonempty.mul", "Finset.Nonempty.mul_zero", "Finset.Nonempty.ne_empty", "Finset.Nonempty.not_empty_toList", "Finset.Nonempty.of_diffs_left", "Finset.Nonempty.of_diffs_right", "Finset.Nonempty.of_disjSups_left", "Finset.Nonempty.of_disjSups_right", "Finset.Nonempty.of_div_left", "Finset.Nonempty.of_div_right", "Finset.Nonempty.of_image\u2082_left", "Finset.Nonempty.of_image\u2082_right", "Finset.Nonempty.of_infs_left", "Finset.Nonempty.of_mul_left", "Finset.Nonempty.of_sups_left", "Finset.Nonempty.of_sups_right", "Finset.Nonempty.of_vsub_left", "Finset.Nonempty.one_mem_div", "Finset.Nonempty.product", "Finset.Nonempty.strong_induction", "Finset.Nonempty.subset_one_iff", "Finset.Nonempty.sup_eq_top_iff", "Finset.Nonempty.sups", "Finset.Nonempty.toList_ne_nil", "Finset.Nonempty.to_subtype", "Finset.Nonempty.to_type", "Finset.Nonempty.vsub", "Finset.Nonempty.zero_div", "Finset.Nonempty.zero_mul", "Finset.Nonempty.zero_smul", "Finset.Nontrivial.erase_nonempty", "Finset.Nontrivial.exists_cons_eq", "Finset.Nontrivial.exists_ne", "Finset.Nontrivial.ne_singleton", "Finset.Nontrivial.sdiff_singleton_nonempty", "Finset.Pi.cons_injective", "Finset.Pi.cons_ne", "Finset.Shatters.card_le_vcDim", "Finset.Shatters.exists_inter_eq_singleton", "Finset.Shatters.mono_left", "Finset.Shatters.mono_right", "Finset.Shatters.nonempty", "Finset.Shatters.of_compression", "Finset.Shatters.subset_iff", "Finset.Subset.antisymm", "Finset.Subset.antisymm_iff", "Finset.Subset.refl", "Finset.Subset.rfl", "Finset.Subset.trans", "Finset.SupIndep.attach", "Finset.SupIndep.biUnion", "Finset.SupIndep.image", "Finset.SupIndep.le_sup_iff", "Finset.SupIndep.pairwiseDisjoint", "Finset.SupIndep.product", "Finset.SupIndep.sigma", "Finset.SupIndep.sup", "Finset.Superset.trans", "Finset.abs_prod", "Finset.abs_sum_of_nonneg", "Finset.abs_sum_of_nonneg'", "Finset.aemeasurable_prod", "Finset.aestronglyMeasurable_prod", "Finset.aestronglyMeasurable_prod'", "Finset.affineCombinationLineMapWeights_apply_left", "Finset.affineCombinationLineMapWeights_apply_of_ne", "Finset.affineCombinationLineMapWeights_apply_right", "Finset.affineCombinationLineMapWeights_self", "Finset.affineCombinationSingleWeights_apply_of_ne", "Finset.affineCombinationSingleWeights_apply_self", "Finset.affineCombination_affineCombinationLineMapWeights", "Finset.affineCombination_affineCombinationSingleWeights", "Finset.affineCombination_apply", "Finset.affineCombination_apply_const", "Finset.affineCombination_congr", "Finset.affineCombination_eq_linear_combination", "Finset.affineCombination_eq_of_weightedVSub_eq_zero_of_eq_neg_one", "Finset.affineCombination_eq_weightedVSubOfPoint_vadd_of_sum_eq_one", "Finset.affineCombination_filter_of_ne", "Finset.affineCombination_indicator_subset", "Finset.affineCombination_linear", "Finset.affineCombination_map", "Finset.affineCombination_of_eq_one_of_eq_zero", "Finset.affineCombination_sdiff_sub", "Finset.affineCombination_subtype_eq_filter", "Finset.affineCombination_vsub", "Finset.all_card_le_biUnion_card_iff_existsInjective'", "Finset.all_card_le_biUnion_card_iff_exists_injective", "Finset.analyticAt_prod", "Finset.analyticAt_sum", "Finset.analyticOn_prod", "Finset.antidiagonal.fst_le", "Finset.antidiagonal.snd_le", "Finset.antidiagonal_congr", "Finset.antidiagonal_congr'", "Finset.antidiagonal_zero", "Finset.antitone_iff_forall_insert_le", "Finset.apply_coe_mem_map", "Finset.attach_affineCombination_coe", "Finset.attach_affineCombination_of_injective", "Finset.attach_empty", "Finset.attach_eq_empty_iff", "Finset.attach_eq_univ", "Finset.attach_image_val", "Finset.attach_map_val", "Finset.attach_val", "Finset.aux", "Finset.bddAbove", "Finset.bddBelow", "Finset.biUnion_biUnion", "Finset.biUnion_congr", "Finset.biUnion_empty", "Finset.biUnion_filter_eq_of_maps_to", "Finset.biUnion_image", "Finset.biUnion_image_right", "Finset.biUnion_image_sdiff_left", "Finset.biUnion_image_sup_left", "Finset.biUnion_image_sup_right", "Finset.biUnion_insert", "Finset.biUnion_inter", "Finset.biUnion_mono", "Finset.biUnion_nonempty", "Finset.biUnion_singleton", "Finset.biUnion_singleton_eq_self", "Finset.biUnion_slice", "Finset.biUnion_subset", "Finset.biUnion_subset_biUnion_of_subset_left", "Finset.biUnion_subset_iff_forall_subset", "Finset.biUnion_val", "Finset.bind_def", "Finset.bind_toFinset", "Finset.bipartiteAbove_swap", "Finset.bot_eq_empty", "Finset.box_succ_eq_sdiff", "Finset.box_succ_union_prod", "Finset.box_zero", "Finset.card_Icc_finset", "Finset.card_Ico_eq_card_Icc_sub_one", "Finset.card_Iic_finset", "Finset.card_Iio_eq_card_Iic_sub_one", "Finset.card_Iio_finset", "Finset.card_Ioc_eq_card_Icc_sub_one", "Finset.card_Ioi_eq_card_Ici_sub_one", "Finset.card_Ioo_eq_card_Icc_sub_two", "Finset.card_Ioo_eq_card_Ico_sub_one", "Finset.card_Ioo_eq_card_Ioc_sub_one", "Finset.card_Ioo_finset", "Finset.card_add_card_compl", "Finset.card_add_card_sub_one_le_card_mul", "Finset.card_add_nsmul_le", "Finset.card_attach", "Finset.card_biUnion", "Finset.card_biUnion_le", "Finset.card_biUnion_le_card_mul", "Finset.card_biUnion_le_of_intersecting", "Finset.card_bij", "Finset.card_bij'", "Finset.card_bijective", "Finset.card_compl", "Finset.card_compl_add_card", "Finset.card_cons", "Finset.card_def", "Finset.card_dfinsupp", "Finset.card_diffs_iff", "Finset.card_disjUnion", "Finset.card_disjiUnion", "Finset.card_div_choose_le_card_shadow_div_choose", "Finset.card_div_mul_le_card_div_mul_card_div", "Finset.card_div_mul_le_card_div_mul_card_mul", "Finset.card_div_mul_le_card_mul_mul_card_div", "Finset.card_div_mul_le_card_mul_mul_card_mul", "Finset.card_dvd_card_image\u2082_right", "Finset.card_dvd_card_mul_left", "Finset.card_empty", "Finset.card_eq_iff_eq_univ", "Finset.card_eq_of_bijective", "Finset.card_eq_of_equiv", "Finset.card_eq_of_equiv_fintype", "Finset.card_eq_one", "Finset.card_eq_succ", "Finset.card_eq_sum_card_fiberwise", "Finset.card_eq_sum_card_image", "Finset.card_eq_sum_ones", "Finset.card_eq_three", "Finset.card_eq_two", "Finset.card_eq_zero", "Finset.card_equiv", "Finset.card_erase_add_one", "Finset.card_erase_eq_ite", "Finset.card_erase_le", "Finset.card_erase_lt_of_mem", "Finset.card_erase_of_mem", "Finset.card_filter", "Finset.card_filter_le", "Finset.card_filter_le_iff", "Finset.card_fin", "Finset.card_image_iff", "Finset.card_image_le", "Finset.card_image_of_injOn", "Finset.card_image_of_injective", "Finset.card_image\u2082", "Finset.card_image\u2082_iff", "Finset.card_image\u2082_le", "Finset.card_image\u2082_singleton_left", "Finset.card_image\u2082_singleton_right", "Finset.card_infs_iff", "Finset.card_infs_le", "Finset.card_insertNone", "Finset.card_insert_eq_ite", "Finset.card_insert_le", "Finset.card_insert_of_mem", "Finset.card_insert_of_not_mem", "Finset.card_inter", "Finset.card_inter_add_card_sdiff", "Finset.card_inter_add_card_union", "Finset.card_inv", "Finset.card_inv_le", "Finset.card_le_card", "Finset.card_le_card_biUnion", "Finset.card_le_card_biUnion_add_card_fiber", "Finset.card_le_card_diffs", "Finset.card_le_card_div_right", "Finset.card_le_card_image\u2082_left", "Finset.card_le_card_image\u2082_right", "Finset.card_le_card_of_forall_subsingleton", "Finset.card_le_card_of_forall_subsingleton'", "Finset.card_le_card_of_injOn", "Finset.card_le_card_of_surjOn", "Finset.card_le_card_sdiff_add_card", "Finset.card_le_card_shatterer", "Finset.card_le_five", "Finset.card_le_mul_card_image_of_maps_to", "Finset.card_le_of_interleaved", "Finset.card_le_one", "Finset.card_le_one_iff", "Finset.card_le_one_iff_subset_singleton", "Finset.card_le_one_iff_subsingleton_coe", "Finset.card_le_one_of_subsingleton", "Finset.card_le_six", "Finset.card_le_three", "Finset.card_le_univ", "Finset.card_lt_card", "Finset.card_lt_iff_ne_univ", "Finset.card_lt_univ_of_not_mem", "Finset.card_map", "Finset.card_memberSubfamily_add_card_nonMemberSubfamily", "Finset.card_mk", "Finset.card_mono", "Finset.card_mul_eq_card_mul", "Finset.card_mul_iff", "Finset.card_mul_le", "Finset.card_mul_le_card_mul", "Finset.card_mul_le_card_mul'", "Finset.card_mul_le_card_shadow_mul", "Finset.card_mul_mul_card_le_card_mul_mul_card_mul", "Finset.card_mul_mul_le_card_div_mul_card_div", "Finset.card_mul_mul_le_card_div_mul_card_mul", "Finset.card_mul_mul_le_card_mul_mul_card_div", "Finset.card_mul_pow_le", "Finset.card_mul_singleton", "Finset.card_nbij", "Finset.card_nbij'", "Finset.card_ne_zero", "Finset.card_one", "Finset.card_pair", "Finset.card_pair_eq_one_or_two", "Finset.card_pos", "Finset.card_pow_div_pow_le", "Finset.card_pow_div_pow_le'", "Finset.card_pow_le", "Finset.card_pow_le'", "Finset.card_powerset", "Finset.card_powersetCard", "Finset.card_product", "Finset.card_range", "Finset.card_sdiff", "Finset.card_sdiff_add_card", "Finset.card_sdiff_add_card_eq_card", "Finset.card_sdiff_add_card_inter", "Finset.card_sdiff_comm", "Finset.card_shatterer_le_sum_vcDim", "Finset.card_sigmaLift", "Finset.card_singleton", "Finset.card_singleton_inter", "Finset.card_singleton_mul", "Finset.card_smul_finset", "Finset.card_sq_le_card_mul_mulEnergy", "Finset.card_strictMono", "Finset.card_subtype", "Finset.card_sups_iff", "Finset.card_sym2", "Finset.card_truncatedInf_union_add_card_truncatedInf_sups", "Finset.card_truncatedSup_union_add_card_truncatedSup_infs", "Finset.card_union", "Finset.card_union_add_card_inter", "Finset.card_union_eq_card_add_card", "Finset.card_union_le", "Finset.card_univ", "Finset.card_val", "Finset.case_strong_induction_on", "Finset.cast_card", "Finset.cast_card_erase_of_mem", "Finset.cast_card_inter", "Finset.cast_card_sdiff", "Finset.cast_card_union", "Finset.centerMass_empty", "Finset.centerMass_eq_of_sum_1", "Finset.centerMass_filter_ne_zero", "Finset.centerMass_insert", "Finset.centerMass_ite_eq", "Finset.centerMass_le_sup", "Finset.centerMass_mem_convexHull_of_nonpos", "Finset.centerMass_neg_left", "Finset.centerMass_of_sum_add_sum_eq_zero", "Finset.centerMass_pair", "Finset.centerMass_segment", "Finset.centerMass_segment'", "Finset.centerMass_singleton", "Finset.centerMass_smul", "Finset.centerMass_smul_left", "Finset.centerMass_subset", "Finset.centroidWeightsIndicator_def", "Finset.centroidWeights_eq_const", "Finset.centroid_def", "Finset.centroid_eq_affineCombination_fintype", "Finset.centroid_eq_centerMass", "Finset.centroid_eq_centroid_image_of_inj_on", "Finset.centroid_eq_of_inj_on_of_image_eq", "Finset.centroid_map", "Finset.centroid_mem_convexHull", "Finset.centroid_pair", "Finset.centroid_pair_fin", "Finset.centroid_singleton", "Finset.centroid_univ", "Finset.choose_mem", "Finset.choose_property", "Finset.choose_spec", "Finset.closure_biUnion", "Finset.codisjoint_inf_left", "Finset.codisjoint_inf_right", "Finset.codisjoint_left", "Finset.coe_Icc", "Finset.coe_Ici", "Finset.coe_Ico", "Finset.coe_Ioc", "Finset.coe_Ioi", "Finset.coe_Ioo", "Finset.coe_biUnion", "Finset.coe_bipartiteAbove", "Finset.coe_coeEmb", "Finset.coe_coeMonoidHom", "Finset.coe_compl", "Finset.coe_cons", "Finset.coe_covBy_coe", "Finset.coe_diffs", "Finset.coe_disjUnion", "Finset.coe_disjiUnion", "Finset.coe_div", "Finset.coe_empty", "Finset.coe_eq_empty", "Finset.coe_eq_one", "Finset.coe_eq_pair", "Finset.coe_eq_singleton", "Finset.coe_eq_univ", "Finset.coe_erase", "Finset.coe_eraseNone", "Finset.coe_filter", "Finset.coe_filterMap", "Finset.coe_image", "Finset.coe_inf'", "Finset.coe_inf_of_nonempty", "Finset.coe_infsep", "Finset.coe_infsep_of_offDiag_empty", "Finset.coe_infsep_of_offDiag_nonempty", "Finset.coe_inj", "Finset.coe_injective", "Finset.coe_insert", "Finset.coe_inter", "Finset.coe_inv", "Finset.coe_list_prod", "Finset.coe_map", "Finset.coe_map_subset_range", "Finset.coe_mem", "Finset.coe_min'", "Finset.coe_mul", "Finset.coe_nonempty", "Finset.coe_offDiag", "Finset.coe_one", "Finset.coe_pair", "Finset.coe_pimage", "Finset.coe_pow", "Finset.coe_powerset", "Finset.coe_preimage", "Finset.coe_prod", "Finset.coe_product", "Finset.coe_range", "Finset.coe_sdiff", "Finset.coe_singleton", "Finset.coe_singletonMonoidHom", "Finset.coe_singletonMulHom", "Finset.coe_smul_finset", "Finset.coe_sort_coe", "Finset.coe_ssubset", "Finset.coe_subset", "Finset.coe_subset_singleton", "Finset.coe_sup'", "Finset.coe_sup_of_nonempty", "Finset.coe_sups", "Finset.coe_symmDiff", "Finset.coe_toList", "Finset.coe_uIcc", "Finset.coe_union", "Finset.coe_univ", "Finset.coe_vsub", "Finset.coe_zpow", "Finset.comp_inf'_eq_inf'_comp", "Finset.comp_inf_eq_inf_comp", "Finset.comp_sup'_eq_sup'_comp", "Finset.comp_sup_eq_sup_comp", "Finset.comp_sup_eq_sup_comp_of_is_total", "Finset.compl_eq_univ_iff", "Finset.compl_eq_univ_sdiff", "Finset.compl_erase", "Finset.compl_filter", "Finset.compl_inf", "Finset.compl_insert", "Finset.compl_mem_compls", "Finset.compl_singleton", "Finset.compl_ssubset_compl", "Finset.compl_subset_compl", "Finset.compl_truncatedInf", "Finset.compl_truncatedSup", "Finset.compl_union", "Finset.compl_univ", "Finset.compls_empty", "Finset.compls_infs", "Finset.compls_infs_eq_diffs", "Finset.compls_inter", "Finset.compls_nonempty", "Finset.compls_subset_iff", "Finset.compls_sups", "Finset.compls_union", "Finset.compls_univ", "Finset.cons_empty", "Finset.cons_eq_insert", "Finset.cons_induction", "Finset.cons_induction_on", "Finset.cons_sdiff_cons", "Finset.cons_subset_cons", "Finset.cons_val", "Finset.convexHull_eq", "Finset.countable_toSet", "Finset.covBy_cons", "Finset.covBy_iff_card_sdiff_eq_one", "Finset.covBy_iff_exists_cons", "Finset.covBy_iff_exists_erase", "Finset.covBy_iff_exists_insert", "Finset.covBy_insert", "Finset.dedup_eq_self", "Finset.default_singleton", "Finset.diag_card", "Finset.diag_insert", "Finset.diag_inter", "Finset.diag_mem_sym2_iff", "Finset.diag_mem_sym2_mem_iff", "Finset.diag_singleton", "Finset.diag_union", "Finset.diag_union_offDiag", "Finset.diffs_inter_subset_left", "Finset.diffs_right_comm", "Finset.diffs_singleton", "Finset.diffs_subset_iff", "Finset.diffs_subset_left", "Finset.diffs_subset_right", "Finset.diffs_union_left", "Finset.diffs_union_right", "Finset.disjSum_empty", "Finset.disjSum_eq_empty", "Finset.disjSum_mono", "Finset.disjSum_ssubset_disjSum_of_subset_of_ssubset", "Finset.disjSum_strictMono_left", "Finset.disjSups_assoc", "Finset.disjSups_comm", "Finset.disjSups_empty_left", "Finset.disjSups_empty_right", "Finset.disjSups_inter_subset_left", "Finset.disjSups_inter_subset_right", "Finset.disjSups_left_comm", "Finset.disjSups_right_comm", "Finset.disjSups_singleton", "Finset.disjSups_subset", "Finset.disjSups_subset_left", "Finset.disjSups_subset_right", "Finset.disjSups_subset_sups", "Finset.disjSups_union_left", "Finset.disjSups_union_right", "Finset.disjUnion_comm", "Finset.disjUnion_product", "Finset.disjUnion_singleton", "Finset.disj_sum_strictMono_right", "Finset.disjiUnion_cons", "Finset.disjiUnion_disjiUnion", "Finset.disjiUnion_empty", "Finset.disjiUnion_eq_biUnion", "Finset.disjiUnion_filter_eq", "Finset.disjiUnion_map", "Finset.disjiUnion_map_sigma_mk", "Finset.disjiUnion_val", "Finset.disjoint_Ioi_Iio", "Finset.disjoint_biUnion_left", "Finset.disjoint_biUnion_right", "Finset.disjoint_box_succ_prod", "Finset.disjoint_coe", "Finset.disjoint_diag_offDiag", "Finset.disjoint_empty_left", "Finset.disjoint_empty_right", "Finset.disjoint_erase_comm", "Finset.disjoint_erase_insert", "Finset.disjoint_filter", "Finset.disjoint_filter_filter", "Finset.disjoint_filter_filter'", "Finset.disjoint_filter_filter_neg", "Finset.disjoint_iff_inter_eq_empty", "Finset.disjoint_iff_ne", "Finset.disjoint_image", "Finset.disjoint_insert_erase", "Finset.disjoint_insert_left", "Finset.disjoint_insert_right", "Finset.disjoint_left", "Finset.disjoint_map", "Finset.disjoint_map_inl_map_inr", "Finset.disjoint_of_erase_left", "Finset.disjoint_of_erase_right", "Finset.disjoint_of_subset_left", "Finset.disjoint_product", "Finset.disjoint_range_addLeftEmbedding", "Finset.disjoint_range_addRightEmbedding", "Finset.disjoint_right", "Finset.disjoint_sdiff", "Finset.disjoint_sdiff_inter", "Finset.disjoint_self_iff_empty", "Finset.disjoint_singleton", "Finset.disjoint_singleton_left", "Finset.disjoint_singleton_right", "Finset.disjoint_sup_left", "Finset.disjoint_sup_right", "Finset.disjoint_union_left", "Finset.disjoint_union_right", "Finset.disjoint_val", "Finset.div_empty", "Finset.div_inter_subset", "Finset.div_singleton", "Finset.div_subset_div_left", "Finset.div_subset_div_right", "Finset.div_subset_iff", "Finset.div_zero_subset", "Finset.dvd_gcd", "Finset.dvd_gcd_iff", "Finset.dvd_lcm", "Finset.dvd_prod_of_mem", "Finset.dvd_sum", "Finset.empty_disjSum", "Finset.empty_disjUnion", "Finset.empty_div", "Finset.empty_inter", "Finset.empty_mem_ssubsets", "Finset.empty_mul", "Finset.empty_pow", "Finset.empty_sdiff", "Finset.empty_ssubset_singleton", "Finset.empty_subset", "Finset.empty_sups", "Finset.empty_toList", "Finset.empty_union", "Finset.empty_val", "Finset.empty_vsub", "Finset.eq_affineCombination_subset_iff_eq_affineCombination_subtype", "Finset.eq_empty_iff_forall_not_mem", "Finset.eq_empty_of_forall_not_mem", "Finset.eq_empty_of_ssubset_singleton", "Finset.eq_empty_of_sym_eq_empty", "Finset.eq_empty_or_nonempty", "Finset.eq_of_card_le_one_of_prod_eq", "Finset.eq_of_mem_of_not_mem_erase", "Finset.eq_of_mem_singleton", "Finset.eq_of_mem_slice", "Finset.eq_of_mem_uIcc_of_mem_uIcc", "Finset.eq_of_mem_uIcc_of_mem_uIcc'", "Finset.eq_of_not_mem_of_mem_insert", "Finset.eq_of_subset_of_card_le", "Finset.eq_of_superset_of_card_ge", "Finset.eq_one_of_prod_eq_one", "Finset.eq_prod_range_div'", "Finset.eq_singleton_iff_nonempty_unique_mem", "Finset.eq_singleton_iff_unique_mem", "Finset.eq_univ_iff_forall", "Finset.eq_univ_of_card", "Finset.eq_univ_of_forall", "Finset.eq_weightedVSubOfPoint_subset_iff_eq_weightedVSubOfPoint_subtype", "Finset.eq_weightedVSub_subset_iff_eq_weightedVSub_subtype", "Finset.eq_zero_iff_eq_zero_of_mem_box", "Finset.equitableOn_iff", "Finset.equitableOn_iff_le_le_add_one", "Finset.eraseNone_eq_biUnion", "Finset.eraseNone_image_some", "Finset.eraseNone_insertNone", "Finset.eraseNone_inter", "Finset.eraseNone_map_some", "Finset.eraseNone_none", "Finset.eraseNone_union", "Finset.erase_biUnion", "Finset.erase_cons", "Finset.erase_cons_of_ne", "Finset.erase_empty", "Finset.erase_eq", "Finset.erase_eq_empty_iff", "Finset.erase_eq_iff_eq_insert", "Finset.erase_eq_of_not_mem", "Finset.erase_idem", "Finset.erase_image_subset_image_erase", "Finset.erase_inj", "Finset.erase_injOn'", "Finset.erase_insert", "Finset.erase_insert_eq_erase", "Finset.erase_insert_of_ne", "Finset.erase_insert_subset", "Finset.erase_inter", "Finset.erase_inter_comm", "Finset.erase_mem_shadow", "Finset.erase_ne_self", "Finset.erase_nonempty", "Finset.erase_right_comm", "Finset.erase_sdiff_comm", "Finset.erase_sdiff_distrib", "Finset.erase_sdiff_erase", "Finset.erase_singleton", "Finset.erase_ssubset", "Finset.erase_subset", "Finset.erase_subset_erase", "Finset.erase_subset_iff_of_mem", "Finset.erase_union_distrib", "Finset.erase_union_of_mem", "Finset.erase_val", "Finset.esymm_map_val", "Finset.eventuallyEq_iInter", "Finset.eventuallyLE_iInter", "Finset.eventuallyLE_iUnion", "Finset.eventually_cocardinal_nmem", "Finset.eventually_cofinite_nmem", "Finset.eventually_constant_prod", "Finset.exists_card_eq", "Finset.exists_card_fiber_le_of_card_le_mul", "Finset.exists_card_fiber_le_of_card_le_nsmul", "Finset.exists_card_fiber_lt_of_card_lt_mul", "Finset.exists_card_fiber_lt_of_card_lt_nsmul", "Finset.exists_coe", "Finset.exists_compls_iff", "Finset.exists_eq_insert_iff", "Finset.exists_eq_pow_of_mul_eq_pow_of_coprime", "Finset.exists_equiv_extend_of_card_eq", "Finset.exists_intermediate_set", "Finset.exists_le_card_fiber_of_mul_le_card_of_maps_to", "Finset.exists_le_card_fiber_of_nsmul_le_card_of_maps_to", "Finset.exists_le_sum_fiber_of_maps_to_of_nsmul_le_sum", "Finset.exists_list_nodup_eq", "Finset.exists_lt_card_fiber_of_nsmul_lt_card_of_maps_to", "Finset.exists_lt_of_prod_lt'", "Finset.exists_lt_sum_fiber_of_maps_to_of_nsmul_lt_sum", "Finset.exists_max_image", "Finset.exists_maximal", "Finset.exists_mem_empty_iff", "Finset.exists_mem_eq_inf'", "Finset.exists_mem_eq_sup", "Finset.exists_mem_eq_sup'", "Finset.exists_mem_insert", "Finset.exists_mem_ne", "Finset.exists_minimal", "Finset.exists_ne_one_of_prod_ne_one", "Finset.exists_next_left", "Finset.exists_next_right", "Finset.exists_of_one_lt_card_pi", "Finset.exists_of_ssubset", "Finset.exists_one_lt_of_prod_one_of_exists_ne_one'", "Finset.exists_subset_card_eq", "Finset.exists_subset_mulSpan_card_le_of_forall_mulDissociated", "Finset.exists_subset_mul_div", "Finset.exists_subset_of_mem_shadow", "Finset.exists_subset_or_subset_of_two_mul_lt_card", "Finset.exists_subsuperset_card_eq", "Finset.exists_sum_fiber_le_of_sum_fiber_nonneg_of_sum_le_nsmul", "Finset.exists_sum_fiber_lt_of_maps_to_of_sum_lt_nsmul", "Finset.exists_sum_fiber_lt_of_sum_fiber_nonneg_of_sum_lt_nsmul", "Finset.exists_superset_card_eq", "Finset.ext", "Finset.ext_iff", "Finset.extract_gcd", "Finset.extract_gcd'", "Finset.fiber_card_ne_zero_iff_mem_image", "Finset.fiber_nonempty_iff_mem_image", "Finset.filterMap_mono", "Finset.filterMap_val", "Finset.filter_False", "Finset.filter_and", "Finset.filter_and_not", "Finset.filter_attach", "Finset.filter_attach'", "Finset.filter_biUnion", "Finset.filter_card_add_filter_neg_card_eq_card", "Finset.filter_card_eq", "Finset.filter_comm", "Finset.filter_congr", "Finset.filter_congr_decidable", "Finset.filter_cons", "Finset.filter_cons_of_neg", "Finset.filter_const", "Finset.filter_disj_union", "Finset.filter_empty", "Finset.filter_eq", "Finset.filter_eq'", "Finset.filter_eq_empty_iff", "Finset.filter_eq_self", "Finset.filter_erase", "Finset.filter_false_of_mem", "Finset.filter_filter", "Finset.filter_fst_eq_antidiagonal", "Finset.filter_image", "Finset.filter_infs_le", "Finset.filter_insert", "Finset.filter_inter", "Finset.filter_inter_distrib", "Finset.filter_inter_filter_neg_eq", "Finset.filter_le_lt_eq_Ico", "Finset.filter_lt_eq_Ioi", "Finset.filter_lt_le_eq_Ioc", "Finset.filter_lt_lt_eq_Ioo", "Finset.filter_map", "Finset.filter_mem_eq_inter", "Finset.filter_mem_image_eq_image", "Finset.filter_ne", "Finset.filter_ne'", "Finset.filter_nonempty_iff", "Finset.filter_not", "Finset.filter_or", "Finset.filter_product", "Finset.filter_product_card", "Finset.filter_product_left", "Finset.filter_product_right", "Finset.filter_singleton", "Finset.filter_snd_eq_antidiagonal", "Finset.filter_subset", "Finset.filter_subset_univ", "Finset.filter_sups_le", "Finset.filter_true_of_mem", "Finset.filter_union", "Finset.filter_union_filter_neg_eq", "Finset.filter_union_filter_of_codisjoint", "Finset.filter_union_right", "Finset.filter_univ_mem", "Finset.filter_val", "Finset.fin_map", "Finset.finite_toSet", "Finset.finite_toSet_toFinset", "Finset.finsuppAntidiag_empty", "Finset.finsuppAntidiag_empty_of_ne_zero", "Finset.finsuppAntidiag_empty_zero", "Finset.finsuppAntidiag_insert", "Finset.finsuppAntidiag_zero", "Finset.fold_congr", "Finset.fold_cons", "Finset.fold_const", "Finset.fold_disjUnion", "Finset.fold_disjiUnion", "Finset.fold_empty", "Finset.fold_hom", "Finset.fold_image", "Finset.fold_image_idem", "Finset.fold_insert", "Finset.fold_insert_idem", "Finset.fold_ite", "Finset.fold_ite'", "Finset.fold_map", "Finset.fold_max_add", "Finset.fold_min_le", "Finset.fold_min_lt", "Finset.fold_op_distrib", "Finset.fold_op_rel_iff_and", "Finset.fold_op_rel_iff_or", "Finset.fold_singleton", "Finset.fold_sup_bot_singleton", "Finset.fold_sup_univ", "Finset.fold_union_empty_singleton", "Finset.fold_union_inter", "Finset.forall_coe", "Finset.forall_disjSups_iff", "Finset.forall_image", "Finset.forall_image\u2082_iff", "Finset.forall_mem_compls", "Finset.forall_mem_cons", "Finset.forall_mem_eraseNone", "Finset.forall_mem_insert", "Finset.forall_mem_insertNone", "Finset.forall_mem_map", "Finset.forall_mem_not_eq", "Finset.forall_mem_not_eq'", "Finset.forall_mem_union", "Finset.forall_sups_iff", "Finset.four_functions_theorem", "Finset.gcd_congr", "Finset.gcd_def", "Finset.gcd_div_eq_one", "Finset.gcd_div_id_eq_one", "Finset.gcd_dvd", "Finset.gcd_empty", "Finset.gcd_eq_gcd_filter_ne_zero", "Finset.gcd_eq_gcd_image", "Finset.gcd_eq_of_dvd_sub", "Finset.gcd_eq_zero_iff", "Finset.gcd_image", "Finset.gcd_insert", "Finset.gcd_mul_left", "Finset.gcd_mul_right", "Finset.gcd_singleton", "Finset.gcd_union", "Finset.geomSum_ofColex_strictMono", "Finset.hasAntidiagonal_congr", "Finset.hasProd", "Finset.hasProd_compl_iff", "Finset.hasProd_iff_compl", "Finset.iInf_coe", "Finset.iInf_finset_image", "Finset.iInf_insert", "Finset.iInf_insert_update", "Finset.iInf_option_toFinset", "Finset.iInf_singleton", "Finset.iInf_union", "Finset.iSup_biUnion", "Finset.iSup_coe", "Finset.iSup_finset_image", "Finset.iSup_insert", "Finset.iSup_insert_update", "Finset.iSup_union", "Finset.id_traverse", "Finset.image_add_left_Icc", "Finset.image_add_left_Ico", "Finset.image_add_left_Ioc", "Finset.image_add_left_Ioo", "Finset.image_add_right_Icc", "Finset.image_add_right_Ico", "Finset.image_add_right_Ioc", "Finset.image_add_right_Ioo", "Finset.image_biUnion", "Finset.image_compl", "Finset.image_congr", "Finset.image_const", "Finset.image_diag_union_image_offDiag", "Finset.image_empty", "Finset.image_erase", "Finset.image_id", "Finset.image_id'", "Finset.image_image", "Finset.image_image\u2082", "Finset.image_image\u2082_antidistrib", "Finset.image_image\u2082_antidistrib_left", "Finset.image_image\u2082_antidistrib_right", "Finset.image_image\u2082_distrib", "Finset.image_image\u2082_distrib_right", "Finset.image_image\u2082_right_comm", "Finset.image_inf_product", "Finset.image_injective", "Finset.image_insert", "Finset.image_insert_memberSubfamily", "Finset.image_inter_of_injOn", "Finset.image_inter_subset", "Finset.image_inv", "Finset.image_mono", "Finset.image_mul", "Finset.image_mul_left", "Finset.image_mul_right'", "Finset.image_one", "Finset.image_preimage", "Finset.image_singleton", "Finset.image_smul", "Finset.image_smul_comm", "Finset.image_some_eraseNone", "Finset.image_ssubset_image", "Finset.image_subset_diffs_right", "Finset.image_subset_iff", "Finset.image_subset_iff_subset_preimage", "Finset.image_subset_image", "Finset.image_subset_image_iff", "Finset.image_subset_infs_left", "Finset.image_subset_infs_right", "Finset.image_subset_sups_right", "Finset.image_sup_product", "Finset.image_swap_product", "Finset.image_symmDiff", "Finset.image_toFinset", "Finset.image_uncurry_product", "Finset.image_union", "Finset.image_univ_equiv", "Finset.image_univ_of_surjective", "Finset.image_val", "Finset.image_val_of_injOn", "Finset.image_vsub_product", "Finset.image\u2082_comm", "Finset.image\u2082_congr", "Finset.image\u2082_curry", "Finset.image\u2082_def", "Finset.image\u2082_empty_right", "Finset.image\u2082_eq_empty_iff", "Finset.image\u2082_image_left", "Finset.image\u2082_image_right", "Finset.image\u2082_image\u2082_image\u2082_comm", "Finset.image\u2082_insert_left", "Finset.image\u2082_insert_right", "Finset.image\u2082_inter_left", "Finset.image\u2082_inter_right", "Finset.image\u2082_inter_singleton", "Finset.image\u2082_inter_subset_left", "Finset.image\u2082_inter_subset_right", "Finset.image\u2082_inter_union_subset", "Finset.image\u2082_inter_union_subset_union", "Finset.image\u2082_left", "Finset.image\u2082_left_comm", "Finset.image\u2082_left_identity", "Finset.image\u2082_mk_eq_product", "Finset.image\u2082_nonempty_iff", "Finset.image\u2082_right", "Finset.image\u2082_right_comm", "Finset.image\u2082_right_identity", "Finset.image\u2082_singleton_inter", "Finset.image\u2082_singleton_left", "Finset.image\u2082_singleton_left'", "Finset.image\u2082_subset", "Finset.image\u2082_subset_iff", "Finset.image\u2082_subset_iff_left", "Finset.image\u2082_subset_iff_right", "Finset.image\u2082_subset_left", "Finset.induction", "Finset.induction_on", "Finset.induction_on'", "Finset.induction_on_max", "Finset.induction_on_max_value", "Finset.induction_on_min", "Finset.induction_on_min_value", "Finset.induction_on_pi", "Finset.induction_on_pi_max", "Finset.induction_on_pi_min", "Finset.induction_on_pi_of_choice", "Finset.induction_on_union", "Finset.inf'_Ici", "Finset.inf'_apply", "Finset.inf'_biUnion", "Finset.inf'_comm", "Finset.inf'_comp_eq_image", "Finset.inf'_comp_eq_map", "Finset.inf'_congr", "Finset.inf'_cons", "Finset.inf'_const", "Finset.inf'_eq_csInf_image", "Finset.inf'_eq_inf", "Finset.inf'_id_eq_csInf", "Finset.inf'_image", "Finset.inf'_image\u2082_left", "Finset.inf'_image\u2082_right", "Finset.inf'_induction", "Finset.inf'_insert", "Finset.inf'_inv", "Finset.inf'_le_iff", "Finset.inf'_le_of_le", "Finset.inf'_mem", "Finset.inf'_mono", "Finset.inf'_mul_le_mul_inf'_of_nonneg", "Finset.inf'_prodMap", "Finset.inf'_product_left", "Finset.inf'_sup_distrib_left", "Finset.inf'_sup_distrib_right", "Finset.inf'_sup_inf'", "Finset.inf'_union", "Finset.inf'_univ_eq_ciInf", "Finset.inf_Ici", "Finset.inf_aux", "Finset.inf_biUnion", "Finset.inf_comm", "Finset.inf_congr", "Finset.inf_cons", "Finset.inf_const", "Finset.inf_def", "Finset.inf_div_left", "Finset.inf_div_right", "Finset.inf_empty", "Finset.inf_eq_inter", "Finset.inf_eq_sInf_image", "Finset.inf_eq_top_iff", "Finset.inf_erase_top", "Finset.inf_image", "Finset.inf_image\u2082_right", "Finset.inf_induction", "Finset.inf_insert", "Finset.inf_inv", "Finset.inf_ite", "Finset.inf_le", "Finset.inf_le_centerMass", "Finset.inf_le_iff", "Finset.inf_le_of_le", "Finset.inf_lt_iff", "Finset.inf_mem", "Finset.inf_mem_infs", "Finset.inf_mono_fun", "Finset.inf_mul_right", "Finset.inf_of_mem", "Finset.inf_prodMap", "Finset.inf_product_left", "Finset.inf_product_right", "Finset.inf_sdiff_left", "Finset.inf_sdiff_right", "Finset.inf_set_eq_iInter", "Finset.inf_sigma", "Finset.inf_singleton", "Finset.inf_sup", "Finset.inf_sup_distrib_right", "Finset.inf_top", "Finset.inf_union", "Finset.infs_aux", "Finset.infs_compls_eq_diffs", "Finset.infs_empty", "Finset.infs_eq_empty", "Finset.infs_infs_infs_comm", "Finset.infs_inter_subset_left", "Finset.infs_inter_subset_right", "Finset.infs_nonempty", "Finset.infs_self", "Finset.infs_self_subset", "Finset.infs_singleton", "Finset.infs_subset", "Finset.infs_subset_iff", "Finset.infs_subset_right", "Finset.infs_sups_subset_left", "Finset.infs_sups_subset_right", "Finset.infs_union_left", "Finset.infs_union_right", "Finset.infsep_pos_iff_nontrivial", "Finset.injOn_of_card_image_eq", "Finset.inj_on_of_surj_on_of_card_le", "Finset.inl_mem_sumLexLift", "Finset.inl_mem_sumLift\u2082", "Finset.inr_mem_disjSum", "Finset.inr_mem_sumLexLift", "Finset.inr_mem_sumLift\u2082", "Finset.insertNone_eraseNone", "Finset.insertNone_nonempty", "Finset.insert_compl_insert", "Finset.insert_compl_self", "Finset.insert_def", "Finset.insert_empty", "Finset.insert_eq", "Finset.insert_eq_of_mem", "Finset.insert_eq_self", "Finset.insert_erase", "Finset.insert_erase_invOn", "Finset.insert_erase_subset", "Finset.insert_idem", "Finset.insert_inj_on'", "Finset.insert_inter_distrib", "Finset.insert_inter_of_mem", "Finset.insert_inter_of_not_mem", "Finset.insert_mem_upShadow", "Finset.insert_ne_empty", "Finset.insert_ne_self", "Finset.insert_nonempty", "Finset.insert_sdiff_cancel", "Finset.insert_sdiff_insert'", "Finset.insert_sdiff_of_mem", "Finset.insert_sdiff_of_not_mem", "Finset.insert_subset", "Finset.insert_subset_iff", "Finset.insert_subset_insert", "Finset.insert_union", "Finset.insert_union_comm", "Finset.insert_union_distrib", "Finset.insert_val", "Finset.insert_val'", "Finset.insert_val_of_not_mem", "Finset.inter_assoc", "Finset.inter_biUnion", "Finset.inter_comm", "Finset.inter_congr_right", "Finset.inter_div_subset", "Finset.inter_div_union_subset_union", "Finset.inter_empty", "Finset.inter_eq_left", "Finset.inter_eq_right", "Finset.inter_eq_univ", "Finset.inter_erase", "Finset.inter_insert_of_mem", "Finset.inter_insert_of_not_mem", "Finset.inter_inter_inter_comm", "Finset.inter_left_comm", "Finset.inter_left_idem", "Finset.inter_mem_infs", "Finset.inter_mul_singleton", "Finset.inter_mul_subset", "Finset.inter_mul_union_subset", "Finset.inter_mul_union_subset_union", "Finset.inter_nonempty_of_card_lt_card_add_card", "Finset.inter_product", "Finset.inter_right_comm", "Finset.inter_right_idem", "Finset.inter_sdiff", "Finset.inter_sdiff_assoc", "Finset.inter_sdiff_self", "Finset.inter_singleton_of_mem", "Finset.inter_singleton_of_not_mem", "Finset.inter_smul_subset", "Finset.inter_subset_inter", "Finset.inter_subset_inter_left", "Finset.inter_subset_inter_right", "Finset.inter_subset_left", "Finset.inter_subset_right", "Finset.inter_subset_union", "Finset.inter_union_distrib_right", "Finset.inter_univ", "Finset.inter_val", "Finset.inter_vsub_subset", "Finset.interior_iInter", "Finset.inv_def", "Finset.inv_empty", "Finset.inv_eq_empty", "Finset.inv_inter", "Finset.inv_mem_inv", "Finset.inv_nonempty_iff", "Finset.inv_op_smul_finset_distrib\u2080", "Finset.inv_smul_finset_distrib", "Finset.inv_smul_finset_distrib\u2080", "Finset.inv_smul_mem_iff", "Finset.inv_smul_mem_iff\u2080", "Finset.inv_univ", "Finset.inv_zero", "Finset.isAtom_iff", "Finset.isAtom_singleton", "Finset.isClosed", "Finset.isCoatom_compl_singleton", "Finset.isCoatom_iff", "Finset.isDiag_mk_of_mem_diag", "Finset.isGLB_iff_isLeast", "Finset.isGLB_mem", "Finset.isG\u03b4_compl", "Finset.isLUB_mem", "Finset.isLindelof_biUnion", "Finset.isPWO", "Finset.isPWO_bUnion", "Finset.isPWO_sup", "Finset.isPWO_support_mulAntidiagonal", "Finset.isUnit_coe", "Finset.isUnit_iff", "Finset.isUnit_iff_singleton", "Finset.isUnit_iff_singleton_aux", "Finset.isUnit_singleton", "Finset.isWF", "Finset.isWF_sup", "Finset.ite_subset_union", "Finset.lcm_congr", "Finset.lcm_def", "Finset.lcm_dvd", "Finset.lcm_dvd_iff", "Finset.lcm_eq_lcm_image", "Finset.lcm_eq_zero_iff", "Finset.lcm_image", "Finset.lcm_insert", "Finset.lcm_mono", "Finset.lcm_mono_fun", "Finset.lcm_union", "Finset.le_card_add_mul_mulEnergy", "Finset.le_card_diffs_mul_card_diffs", "Finset.le_card_falling_div_choose", "Finset.le_card_iff_exists_subset_card", "Finset.le_card_infs_mul_card_sups", "Finset.le_card_of_inj_on_range", "Finset.le_eq_subset", "Finset.le_inf'", "Finset.le_inf'_iff", "Finset.le_inf'_image\u2082", "Finset.le_inf_div", "Finset.le_inf_iff", "Finset.le_inf_mul", "Finset.le_max'", "Finset.le_max_of_eq", "Finset.le_min", "Finset.le_mulEnergy", "Finset.le_prod_nonempty_of_submultiplicative", "Finset.le_prod_nonempty_of_submultiplicative_on_pred", "Finset.le_prod_of_submultiplicative", "Finset.le_prod_of_submultiplicative_on_pred", "Finset.le_sum_card", "Finset.le_sum_card_inter", "Finset.le_sum_condensed", "Finset.le_sum_condensed'", "Finset.le_sum_schlomilch", "Finset.le_sum_schlomilch'", "Finset.le_sup", "Finset.le_sup'", "Finset.le_sup'_iff", "Finset.le_sup'_of_le", "Finset.le_sup_iff", "Finset.le_sup_of_le", "Finset.le_truncatedSup", "Finset.left_eq_union", "Finset.left_mem_Icc", "Finset.left_mem_Ico", "Finset.left_mem_uIcc", "Finset.length_sort", "Finset.length_toList", "Finset.lower_aux", "Finset.lt_eq_subset", "Finset.lt_fold_max", "Finset.lt_fold_min", "Finset.lt_inf'_iff", "Finset.lt_inf_iff", "Finset.lt_max'_of_mem_erase_max'", "Finset.lt_min'_iff", "Finset.lt_sup'_iff", "Finset.lt_sup_iff", "Finset.lt_wf", "Finset.mapEmbedding_apply", "Finset.mapRange_finsuppAntidiag_eq", "Finset.mapRange_finsuppAntidiag_subset", "Finset.map_add_left_Icc", "Finset.map_add_left_Ico", "Finset.map_add_left_Ioc", "Finset.map_add_left_Ioo", "Finset.map_add_right_Icc", "Finset.map_add_right_Ico", "Finset.map_add_right_Ioc", "Finset.map_add_right_Ioo", "Finset.map_affineCombination", "Finset.map_cast_heq", "Finset.map_comm", "Finset.map_comp_coe", "Finset.map_cons", "Finset.map_disjUnion", "Finset.map_disjUnion'", "Finset.map_eq_empty", "Finset.map_eq_image", "Finset.map_eq_of_subset", "Finset.map_erase", "Finset.map_filter", "Finset.map_filter'", "Finset.map_infs", "Finset.map_injective", "Finset.map_inl_disjUnion_map_inr", "Finset.map_insert", "Finset.map_map", "Finset.map_nontrivial", "Finset.map_ofDual_max", "Finset.map_ofDual_min", "Finset.map_one", "Finset.map_perm", "Finset.map_prodComm_antidiagonal", "Finset.map_refl", "Finset.map_singleton", "Finset.map_some_eraseNone", "Finset.map_subset_iff_subset_preimage", "Finset.map_subset_map", "Finset.map_subtype_embedding_Icc", "Finset.map_subtype_embedding_Ici", "Finset.map_subtype_embedding_Ico", "Finset.map_subtype_embedding_Iic", "Finset.map_subtype_embedding_Iio", "Finset.map_subtype_embedding_Ioc", "Finset.map_subtype_embedding_Ioi", "Finset.map_subtype_embedding_Ioo", "Finset.map_subtype_subset", "Finset.map_sups", "Finset.map_swap_antidiagonal", "Finset.map_swap_product", "Finset.map_symm_subset", "Finset.map_toDual_max", "Finset.map_toDual_min", "Finset.map_toFinset", "Finset.map_traverse", "Finset.map_truncatedInf", "Finset.map_truncatedSup", "Finset.map_union", "Finset.map_univ_equiv", "Finset.map_val", "Finset.map_val_val_powersetCard", "Finset.max'_eq_sorted_last", "Finset.max'_eq_sup'", "Finset.max'_image", "Finset.max'_insert", "Finset.max'_le_iff", "Finset.max'_lt_iff", "Finset.max'_mem", "Finset.max'_one", "Finset.max'_singleton", "Finset.max_empty", "Finset.max_eq_bot", "Finset.max_eq_sup_coe", "Finset.max_eq_sup_withBot", "Finset.max_erase_ne_self", "Finset.max_insert", "Finset.max_le_iff", "Finset.max_mem_image_coe", "Finset.max_mem_insert_bot_image_coe", "Finset.max_mono", "Finset.max_of_mem", "Finset.max_of_nonempty", "Finset.max_singleton", "Finset.measurableSet_biInter", "Finset.measurableSet_biUnion", "Finset.measurable_prod", "Finset.measurable_prod'", "Finset.measurable_range_sup'", "Finset.measurable_range_sup''", "Finset.measure_zero", "Finset.mem_Icc", "Finset.mem_Ici", "Finset.mem_Ico", "Finset.mem_Iic", "Finset.mem_Iio", "Finset.mem_Ioc", "Finset.mem_Ioi", "Finset.mem_Ioo", "Finset.mem_attach", "Finset.mem_attachFin", "Finset.mem_biUnion", "Finset.mem_bipartiteAbove", "Finset.mem_coe", "Finset.mem_compl", "Finset.mem_compls", "Finset.mem_cons", "Finset.mem_cons_of_mem", "Finset.mem_convexHull", "Finset.mem_convexHull'", "Finset.mem_def", "Finset.mem_dfinsupp_iff", "Finset.mem_dfinsupp_iff_of_support_subset", "Finset.mem_diag", "Finset.mem_disjSum", "Finset.mem_disjSups", "Finset.mem_disjUnion", "Finset.mem_disjiUnion", "Finset.mem_div", "Finset.mem_erase", "Finset.mem_eraseNone", "Finset.mem_erase_of_ne_of_mem", "Finset.mem_falling", "Finset.mem_filter", "Finset.mem_fin", "Finset.mem_finAntidiagonal\u2080", "Finset.mem_finAntidiagonal\u2080'", "Finset.mem_finsuppAntidiag", "Finset.mem_finsuppAntidiag'", "Finset.mem_finsuppAntidiag_insert", "Finset.mem_finsupp_iff", "Finset.mem_finsupp_iff_of_support_subset", "Finset.mem_image", "Finset.mem_image_const", "Finset.mem_image_const_self", "Finset.mem_image_of_mem", "Finset.mem_image\u2082", "Finset.mem_image\u2082_iff", "Finset.mem_inf", "Finset.mem_infs", "Finset.mem_insert", "Finset.mem_insertNone", "Finset.mem_insert_coe", "Finset.mem_insert_of_mem", "Finset.mem_insert_self", "Finset.mem_inter", "Finset.mem_inter_of_mem", "Finset.mem_inv", "Finset.mem_inv'", "Finset.mem_inv_smul_finset_iff", "Finset.mem_inv_smul_finset_iff\u2080", "Finset.mem_map", "Finset.mem_map'", "Finset.mem_map_equiv", "Finset.mem_map_of_mem", "Finset.mem_maximals_iff_forall_insert", "Finset.mem_memberSubfamily", "Finset.mem_minimals_iff_forall_erase", "Finset.mem_mk", "Finset.mem_mul", "Finset.mem_mulAntidiagonal", "Finset.mem_mulSpan", "Finset.mem_nonMemberSubfamily", "Finset.mem_of_max", "Finset.mem_of_mem_erase", "Finset.mem_of_mem_filter", "Finset.mem_of_mem_insert_of_ne", "Finset.mem_of_mem_inter_left", "Finset.mem_of_mem_inter_right", "Finset.mem_of_min", "Finset.mem_offDiag", "Finset.mem_one", "Finset.mem_pi", "Finset.mem_pow", "Finset.mem_powerset", "Finset.mem_powersetCard", "Finset.mem_powersetCard_univ", "Finset.mem_powerset_self", "Finset.mem_preimage", "Finset.mem_prod_list_ofFn", "Finset.mem_product", "Finset.mem_range", "Finset.mem_range_iff_mem_finset_range_of_mod_eq", "Finset.mem_range_iff_mem_finset_range_of_mod_eq'", "Finset.mem_range_le", "Finset.mem_range_sub_ne_zero", "Finset.mem_sdiff", "Finset.mem_shadow_iff", "Finset.mem_shadow_iff_exists_mem_card_add_one", "Finset.mem_shadow_iff_exists_sdiff", "Finset.mem_shadow_iff_insert_mem", "Finset.mem_shadow_iterate_iff_exists_mem_card_add", "Finset.mem_shadow_iterate_iff_exists_sdiff", "Finset.mem_shatterer", "Finset.mem_sigma", "Finset.mem_sigmaLift", "Finset.mem_singleton", "Finset.mem_singleton_self", "Finset.mem_smul_finset", "Finset.mem_sort", "Finset.mem_ssubsets", "Finset.mem_subtype", "Finset.mem_sum", "Finset.mem_sumLexLift", "Finset.mem_sumLift\u2082", "Finset.mem_sup", "Finset.mem_sup_support_iff", "Finset.mem_sups", "Finset.mem_sym2_iff", "Finset.mem_sym_iff", "Finset.mem_symmDiff", "Finset.mem_toList", "Finset.mem_uIcc", "Finset.mem_uIcc'", "Finset.mem_uIcc_of_ge", "Finset.mem_uIcc_of_le", "Finset.mem_union", "Finset.mem_union_left", "Finset.mem_union_right", "Finset.mem_univ", "Finset.mem_univ_val", "Finset.mem_upShadow_iff", "Finset.mem_upShadow_iff_erase_mem", "Finset.mem_upShadow_iff_exists_mem_card_add", "Finset.mem_upShadow_iff_exists_mem_card_add_one", "Finset.mem_upShadow_iff_exists_sdiff", "Finset.mem_upShadow_iterate_iff_exists_card", "Finset.mem_upShadow_iterate_iff_exists_mem_card_add", "Finset.mem_upShadow_iterate_iff_exists_sdiff", "Finset.mem_val", "Finset.memberFamily_induction_on", "Finset.memberSubfamily_image_erase", "Finset.memberSubfamily_image_insert", "Finset.memberSubfamily_inter", "Finset.memberSubfamily_memberSubfamily", "Finset.memberSubfamily_nonMemberSubfamily", "Finset.memberSubfamily_union", "Finset.memberSubfamily_union_nonMemberSubfamily", "Finset.min'_eq_inf'", "Finset.min'_eq_sorted_zero", "Finset.min'_erase_ne_self", "Finset.min'_image", "Finset.min'_insert", "Finset.min'_lt_max'", "Finset.min'_lt_max'_of_card", "Finset.min'_mem", "Finset.min'_singleton", "Finset.min'_subset", "Finset.min_empty", "Finset.min_eq_bot", "Finset.min_eq_top", "Finset.min_erase_ne_self", "Finset.min_insert", "Finset.min_le", "Finset.min_le_card_mul", "Finset.min_le_of_eq", "Finset.min_mem_image_coe", "Finset.min_mono", "Finset.min_of_mem", "Finset.min_one", "Finset.min_singleton", "Finset.mk_cons", "Finset.mk_mem_product", "Finset.mk_mem_sigmaLift", "Finset.mk_mem_sym2_iff", "Finset.mk_zero", "Finset.monotone_filter_left", "Finset.monotone_iff_forall_le_cons", "Finset.monotone_iff_forall_le_insert", "Finset.monotone_preimage", "Finset.monotone_sym2", "Finset.mulAntidiagonal_min_mul_min", "Finset.mulAntidiagonal_mono_left", "Finset.mulDysonETransform.card", "Finset.mulDysonETransform.smul_finset_snd_subset_fst", "Finset.mulDysonETransform.subset", "Finset.mulDysonETransform_idem", "Finset.mulETransformLeft.card", "Finset.mulETransformLeft.fst_mul_snd_subset", "Finset.mulETransformLeft_inv", "Finset.mulETransformLeft_one", "Finset.mulETransformRight.card", "Finset.mulETransformRight.fst_mul_snd_subset", "Finset.mulETransformRight_inv", "Finset.mulETransformRight_one", "Finset.mulEnergy_comm", "Finset.mulEnergy_empty_left", "Finset.mulEnergy_empty_right", "Finset.mulEnergy_eq_card_filter", "Finset.mulEnergy_eq_sum_sq", "Finset.mulEnergy_eq_sum_sq'", "Finset.mulEnergy_eq_zero_iff", "Finset.mulEnergy_mono", "Finset.mulEnergy_mono_right", "Finset.mulEnergy_pos", "Finset.mulEnergy_pos_iff", "Finset.mulEnergy_univ_left", "Finset.mulEnergy_univ_right", "Finset.mulIndicator_biUnion", "Finset.mulIndicator_biUnion_apply", "Finset.mulIndicator_prod", "Finset.mulSupport_of_fiberwise_prod_subset_image", "Finset.mulSupport_prod", "Finset.mul_aux", "Finset.mul_card_image_le_card", "Finset.mul_card_image_le_card_of_maps_to", "Finset.mul_def", "Finset.mul_eq_empty", "Finset.mul_eq_one_iff", "Finset.mul_inf_le_inf_mul_of_nonneg", "Finset.mul_inter_subset", "Finset.mul_le_prod", "Finset.mul_mem_mul", "Finset.mul_noncommProd_erase", "Finset.mul_nonempty", "Finset.mul_pluennecke_petridis", "Finset.mul_prod_Ico_eq_prod_Icc", "Finset.mul_prod_Iio_eq_prod_Iic", "Finset.mul_prod_Ioc_eq_prod_Icc", "Finset.mul_prod_Ioi_eq_prod_Ici", "Finset.mul_prod_erase", "Finset.mul_singleton", "Finset.mul_subset_iff", "Finset.mul_subset_iff_left", "Finset.mul_subset_iff_right", "Finset.mul_subset_mul", "Finset.mul_subset_mul_right", "Finset.mul_sum", "Finset.mul_union", "Finset.mul_univ_of_one_mem", "Finset.mul_zero_subset", "Finset.multipliable_compl_iff", "Finset.natCast_card_filter", "Finset.ne_insert_of_not_mem", "Finset.ne_of_mem_erase", "Finset.neg_smul", "Finset.neg_smul_finset", "Finset.nnnorm_prod_le", "Finset.nnnorm_prod_le'", "Finset.nodup_toList", "Finset.nonMemberSubfamily_inter", "Finset.nonMemberSubfamily_memberSubfamily", "Finset.nonMemberSubfamily_nonMemberSubfamily", "Finset.nonMemberSubfamily_union", "Finset.noncommProd_commute", "Finset.noncommProd_congr", "Finset.noncommProd_cons", "Finset.noncommProd_cons'", "Finset.noncommProd_empty", "Finset.noncommProd_eq_pow_card", "Finset.noncommProd_eq_prod", "Finset.noncommProd_erase_mul", "Finset.noncommProd_induction", "Finset.noncommProd_insert_of_not_mem", "Finset.noncommProd_insert_of_not_mem'", "Finset.noncommProd_lemma", "Finset.noncommProd_map", "Finset.noncommProd_mul_distrib", "Finset.noncommProd_mul_distrib_aux", "Finset.noncommProd_mul_single", "Finset.noncommProd_singleton", "Finset.noncommProd_toFinset", "Finset.noncommProd_union_of_disjoint", "Finset.none_mem_insertNone", "Finset.nonempty_Icc", "Finset.nonempty_Ico", "Finset.nonempty_Ioc", "Finset.nonempty_Ioi", "Finset.nonempty_Ioo", "Finset.nonempty_coe_sort", "Finset.nonempty_iff_eq_singleton_default", "Finset.nonempty_iff_ne_empty", "Finset.nonempty_mk", "Finset.nonempty_of_ne_empty", "Finset.nonempty_of_prod_ne_one", "Finset.nonempty_product", "Finset.nonempty_range_succ", "Finset.nonempty_uIcc", "Finset.nontrivial_iff_ne_singleton", "Finset.nontrivial_prod_iff", "Finset.norm_prod_le", "Finset.norm_prod_le'", "Finset.normalize_gcd", "Finset.normalize_lcm", "Finset.not_disjoint_iff", "Finset.not_disjoint_iff_nonempty_inter", "Finset.not_isDiag_mk_of_mem_offDiag", "Finset.not_mem_Iio_self", "Finset.not_mem_Ioi_self", "Finset.not_mem_compl", "Finset.not_mem_empty", "Finset.not_mem_erase", "Finset.not_mem_mono", "Finset.not_mem_of_coe_lt_min", "Finset.not_mem_of_lt_min", "Finset.not_mem_of_max_lt_coe", "Finset.not_mem_of_mem_powerset_of_not_mem", "Finset.not_mem_sdiff_of_mem_right", "Finset.not_mem_sdiff_of_not_mem_left", "Finset.not_mem_sigmaLift_of_ne_left", "Finset.not_mem_sigmaLift_of_ne_right", "Finset.not_mem_singleton", "Finset.not_mem_uIcc_of_gt", "Finset.not_mem_union", "Finset.not_nonempty_iff_eq_empty", "Finset.not_nontrivial_singleton", "Finset.not_one_mem_div_iff", "Finset.not_ssubset_empty", "Finset.not_subset", "Finset.nsmul_inf'", "Finset.nsmul_sup'", "Finset.nullMeasurableSet", "Finset.nullMeasurableSet_biInter", "Finset.ofColex_ne_ofColex", "Finset.ofDual_inf", "Finset.ofDual_inf'", "Finset.ofDual_max'", "Finset.ofDual_min'", "Finset.ofDual_sup", "Finset.offDiag_card", "Finset.offDiag_empty", "Finset.offDiag_insert", "Finset.offDiag_inter", "Finset.offDiag_mono", "Finset.offDiag_singleton", "Finset.offDiag_union", "Finset.one_lt_card", "Finset.one_lt_card_iff", "Finset.one_lt_card_iff_nontrivial", "Finset.one_lt_prod'", "Finset.one_mem_div_iff", "Finset.one_mem_one", "Finset.one_nonempty", "Finset.one_subset", "Finset.op_smul_finset_mul_eq_mul_smul_finset", "Finset.op_smul_finset_subset_mul", "Finset.op_sum", "Finset.ordConnected_range_coe", "Finset.ordConnected_range_val", "Finset.orderEmbOfCardLe_mem", "Finset.orderEmbOfFin_apply", "Finset.orderEmbOfFin_eq_orderEmbOfFin_iff", "Finset.orderEmbOfFin_last", "Finset.orderEmbOfFin_mem", "Finset.orderEmbOfFin_singleton", "Finset.orderEmbOfFin_unique", "Finset.orderEmbOfFin_unique'", "Finset.orderEmbOfFin_zero", "Finset.pair_comm", "Finset.pairwiseDisjoint_fibers", "Finset.pairwiseDisjoint_map_sigmaMk", "Finset.pairwiseDisjoint_range_singleton", "Finset.pairwiseDisjoint_slice", "Finset.pairwiseDisjoint_smul_iff", "Finset.pairwise_cons'", "Finset.pairwise_disjoint_powersetCard", "Finset.pairwise_subtype_iff_pairwise_finset", "Finset.pairwise_subtype_iff_pairwise_finset'", "Finset.partiallyWellOrderedOn", "Finset.partiallyWellOrderedOn_bUnion", "Finset.periodic_prod", "Finset.pi_const_singleton", "Finset.pi_disjoint_of_disjoint", "Finset.pi_insert", "Finset.pi_nonempty", "Finset.pi_singletons", "Finset.piecewise_cases", "Finset.piecewise_compl", "Finset.piecewise_congr", "Finset.piecewise_empty", "Finset.piecewise_eq_of_mem", "Finset.piecewise_eq_of_not_mem", "Finset.piecewise_erase_univ", "Finset.piecewise_idem_left", "Finset.piecewise_idem_right", "Finset.piecewise_insert", "Finset.piecewise_insert_of_ne", "Finset.piecewise_insert_self", "Finset.piecewise_le_of_le_of_le", "Finset.piecewise_mem_Icc", "Finset.piecewise_mem_Icc_of_mem_of_mem", "Finset.piecewise_mem_set_pi", "Finset.piecewise_piecewise_of_subset_left", "Finset.piecewise_piecewise_of_subset_right", "Finset.piecewise_same", "Finset.piecewise_singleton", "Finset.piecewise_univ", "Finset.pimage_congr", "Finset.pimage_eq_image_filter", "Finset.pimage_inter", "Finset.pimage_mono", "Finset.pimage_some", "Finset.pimage_subset", "Finset.pimage_union", "Finset.pow_card_le_prod", "Finset.pow_card_mul_prod", "Finset.pow_eq_prod_const", "Finset.pow_mem_pow", "Finset.pow_subset_pow", "Finset.pow_subset_pow_of_one_mem", "Finset.powersetCard_empty_subsingleton", "Finset.powersetCard_eq_empty", "Finset.powersetCard_eq_filter", "Finset.powersetCard_map", "Finset.powersetCard_one", "Finset.powersetCard_self", "Finset.powersetCard_succ_insert", "Finset.powersetCard_sup", "Finset.powersetCard_zero", "Finset.powerset_card_biUnion", "Finset.powerset_card_disjiUnion", "Finset.powerset_empty", "Finset.powerset_eq_univ", "Finset.powerset_insert", "Finset.powerset_inter", "Finset.powerset_mono", "Finset.powerset_nonempty", "Finset.powerset_union", "Finset.powerset_univ", "Finset.pred_card_le_card_erase", "Finset.preimage_compl", "Finset.preimage_empty", "Finset.preimage_inter", "Finset.preimage_inv", "Finset.preimage_map", "Finset.preimage_mul_left_one", "Finset.preimage_mul_left_one'", "Finset.preimage_mul_left_singleton", "Finset.preimage_mul_right_one", "Finset.preimage_mul_right_one'", "Finset.preimage_mul_right_singleton", "Finset.preimage_subset", "Finset.preimage_union", "Finset.preimage_univ", "Finset.prodMk_sup'_sup'", "Finset.prod_Icc_succ_top", "Finset.prod_Ico_add", "Finset.prod_Ico_add'", "Finset.prod_Ico_div_bot", "Finset.prod_Ico_eq_div", "Finset.prod_Ico_eq_mul_inv", "Finset.prod_Ico_eq_prod_range", "Finset.prod_Ico_id_eq_factorial", "Finset.prod_Ico_mul_eq_prod_Icc", "Finset.prod_Ico_reflect", "Finset.prod_Ico_succ_top", "Finset.prod_Ioc_consecutive", "Finset.prod_Ioc_mul_eq_prod_Icc", "Finset.prod_Ioc_succ_top", "Finset.prod_X_add_C_coeff", "Finset.prod_add", "Finset.prod_add_ordered", "Finset.prod_add_prod_eq", "Finset.prod_add_prod_le", "Finset.prod_add_prod_le'", "Finset.prod_antidiagonal_pow_choose_succ", "Finset.prod_apply", "Finset.prod_apply_dite", "Finset.prod_apply_ite", "Finset.prod_apply_ite_of_false", "Finset.prod_attach", "Finset.prod_attach_univ", "Finset.prod_biUnion", "Finset.prod_bij", "Finset.prod_bij'", "Finset.prod_bij_ne_one", "Finset.prod_boole", "Finset.prod_cancels_of_partition_cancels", "Finset.prod_coe_sort", "Finset.prod_coe_sort_eq_attach", "Finset.prod_comm", "Finset.prod_comm'", "Finset.prod_comp", "Finset.prod_compl_mul_prod", "Finset.prod_congr", "Finset.prod_congr_set", "Finset.prod_cons", "Finset.prod_const", "Finset.prod_const_one", "Finset.prod_diag", "Finset.prod_disjUnion", "Finset.prod_disj_sum", "Finset.prod_disjiUnion", "Finset.prod_dite", "Finset.prod_dite_eq", "Finset.prod_dite_eq'", "Finset.prod_dite_irrel", "Finset.prod_dite_of_false", "Finset.prod_dite_of_true", "Finset.prod_div_distrib", "Finset.prod_div_prod_mem_mulSpan", "Finset.prod_dvd_of_coprime", "Finset.prod_dvd_of_isRelPrime", "Finset.prod_dvd_prod_of_dvd", "Finset.prod_dvd_prod_of_subset", "Finset.prod_empty", "Finset.prod_eq_mul", "Finset.prod_eq_mul_of_mem", "Finset.prod_eq_mul_prod_diff_singleton", "Finset.prod_eq_multiset_prod", "Finset.prod_eq_one", "Finset.prod_eq_one_iff'", "Finset.prod_eq_one_iff_of_one_le'", "Finset.prod_eq_pow_card", "Finset.prod_eq_prod_Ico_succ_bot", "Finset.prod_eq_prod_diff_singleton_mul", "Finset.prod_eq_prod_iff_of_le", "Finset.prod_eq_single_of_mem", "Finset.prod_eq_zero", "Finset.prod_eq_zero_iff", "Finset.prod_equiv", "Finset.prod_erase", "Finset.prod_eraseNone", "Finset.prod_erase_attach", "Finset.prod_erase_eq_div", "Finset.prod_erase_lt_of_one_lt", "Finset.prod_erase_mul", "Finset.prod_extend_by_one", "Finset.prod_fiberwise", "Finset.prod_fiberwise'", "Finset.prod_fiberwise_eq_prod_filter", "Finset.prod_fiberwise_eq_prod_filter'", "Finset.prod_fiberwise_le_prod_of_one_le_prod_fiber'", "Finset.prod_fiberwise_of_maps_to'", "Finset.prod_filter", "Finset.prod_filter_mul_prod_filter_not", "Finset.prod_filter_ne_one", "Finset.prod_filter_of_ne", "Finset.prod_fin_eq_prod_range", "Finset.prod_finset_product", "Finset.prod_finset_product_right", "Finset.prod_finset_product_right'", "Finset.prod_flip", "Finset.prod_fn", "Finset.prod_hom_rel", "Finset.prod_image", "Finset.prod_induction", "Finset.prod_insert", "Finset.prod_insertNone", "Finset.prod_insert_div", "Finset.prod_insert_of_eq_one_if_not_mem", "Finset.prod_insert_one", "Finset.prod_int_mod", "Finset.prod_inter_mul_prod_diff", "Finset.prod_inv_distrib", "Finset.prod_inv_index", "Finset.prod_involution", "Finset.prod_ite", "Finset.prod_ite_eq'", "Finset.prod_ite_index", "Finset.prod_ite_mem", "Finset.prod_ite_of_false", "Finset.prod_ite_of_true", "Finset.prod_ite_one", "Finset.prod_le_one", "Finset.prod_le_one'", "Finset.prod_le_pow_card", "Finset.prod_le_prod", "Finset.prod_le_prod'", "Finset.prod_le_prod_fiberwise_of_prod_fiber_le_one'", "Finset.prod_le_prod_of_ne_one'", "Finset.prod_le_prod_of_subset_of_one_le'", "Finset.prod_le_univ_prod_of_one_le'", "Finset.prod_list_count", "Finset.prod_list_count_of_subset", "Finset.prod_list_map_count", "Finset.prod_lt_one", "Finset.prod_lt_one'", "Finset.prod_lt_prod", "Finset.prod_lt_prod'", "Finset.prod_lt_prod_of_nonempty", "Finset.prod_lt_prod_of_nonempty'", "Finset.prod_lt_prod_of_subset'", "Finset.prod_map", "Finset.prod_mem_multiset", "Finset.prod_mk", "Finset.prod_mono_set'", "Finset.prod_mulIndicator_eq_prod_filter", "Finset.prod_mulIndicator_eq_prod_inter", "Finset.prod_mulIndicator_subset", "Finset.prod_mulIndicator_subset_of_eq_one", "Finset.prod_mul_distrib", "Finset.prod_mul_eq_prod_mul_of_exists", "Finset.prod_mul_prod_comm", "Finset.prod_mul_prod_compl", "Finset.prod_multiset_count", "Finset.prod_multiset_count_of_subset", "Finset.prod_multiset_map_count", "Finset.prod_natCast", "Finset.prod_nat_mod", "Finset.prod_nbij", "Finset.prod_nbij'", "Finset.prod_ne_zero_iff", "Finset.prod_nonneg_of_card_nonpos_even", "Finset.prod_of_injOn", "Finset.prod_one_sub_ordered", "Finset.prod_pair", "Finset.prod_partition", "Finset.prod_pi_mulSingle", "Finset.prod_piecewise", "Finset.prod_pow_choose_succ", "Finset.prod_pow_eq_pow_sum", "Finset.prod_powerset", "Finset.prod_powersetCard", "Finset.prod_powerset_cons", "Finset.prod_powerset_insert", "Finset.prod_preimage", "Finset.prod_preimage'", "Finset.prod_primes_dvd", "Finset.prod_prod_Ioi_mul_eq_prod_prod_off_diag", "Finset.prod_product", "Finset.prod_product'", "Finset.prod_product_right'", "Finset.prod_range_add", "Finset.prod_range_add_one_eq_factorial", "Finset.prod_range_diag_flip", "Finset.prod_range_div", "Finset.prod_range_div'", "Finset.prod_range_div_prod_range", "Finset.prod_range_induction", "Finset.prod_range_natCast_sub", "Finset.prod_range_one", "Finset.prod_range_reflect", "Finset.prod_range_succ", "Finset.prod_range_succ'", "Finset.prod_range_succ_comm", "Finset.prod_range_succ_div_prod", "Finset.prod_range_succ_div_top", "Finset.prod_range_zero", "Finset.prod_sdiff", "Finset.prod_sdiff_div_prod_sdiff", "Finset.prod_sdiff_eq_div", "Finset.prod_sdiff_eq_prod_sdiff_iff", "Finset.prod_sdiff_le_prod_sdiff", "Finset.prod_sdiff_lt_prod_sdiff", "Finset.prod_sdiff_ne_prod_sdiff_iff", "Finset.prod_set_coe", "Finset.prod_sigma", "Finset.prod_sigma'", "Finset.prod_singleton", "Finset.prod_sub_ordered", "Finset.prod_subset", "Finset.prod_subset_one_on_sdiff", "Finset.prod_subtype", "Finset.prod_subtype_eq_prod_filter", "Finset.prod_subtype_map_embedding", "Finset.prod_sum", "Finset.prod_toFinset_eq_subtype", "Finset.prod_to_list", "Finset.prod_union", "Finset.prod_union_eq_left", "Finset.prod_union_eq_right", "Finset.prod_union_inter", "Finset.prod_unique_nonempty", "Finset.prod_univ_pi", "Finset.prod_univ_sum", "Finset.prod_update_of_mem", "Finset.prod_update_of_not_mem", "Finset.prod_val", "Finset.prod_zpow", "Finset.product_biUnion", "Finset.product_disjUnion", "Finset.product_empty", "Finset.product_eq_biUnion", "Finset.product_eq_biUnion_right", "Finset.product_eq_empty", "Finset.product_eq_univ", "Finset.product_image_fst", "Finset.product_image_snd", "Finset.product_inter", "Finset.product_inter_product", "Finset.product_sdiff_diag", "Finset.product_sdiff_offDiag", "Finset.product_self_eq_disjiUnion_perm", "Finset.product_self_eq_disjiUnion_perm_aux", "Finset.product_singleton", "Finset.product_subset_product", "Finset.product_subset_product_left", "Finset.product_subset_product_right", "Finset.product_union", "Finset.property_of_mem_map_subtype", "Finset.range_add", "Finset.range_add_eq_union", "Finset.range_add_one", "Finset.range_add_one'", "Finset.range_eq_Ico", "Finset.range_eq_empty_iff", "Finset.range_filter_eq", "Finset.range_image_pred_top_sub", "Finset.range_mono", "Finset.range_nontrivial", "Finset.range_one", "Finset.range_orderEmbOfFin", "Finset.range_sdiff_zero", "Finset.range_subset", "Finset.range_succ", "Finset.range_val", "Finset.range_zero", "Finset.replicate_mem_sym", "Finset.right_eq_union", "Finset.right_mem_Icc", "Finset.right_mem_Ioc", "Finset.right_not_mem_Ico", "Finset.sdiff_disjoint", "Finset.sdiff_empty", "Finset.sdiff_eq_empty_iff_subset", "Finset.sdiff_eq_filter", "Finset.sdiff_eq_self_of_disjoint", "Finset.sdiff_erase", "Finset.sdiff_erase_self", "Finset.sdiff_idem", "Finset.sdiff_insert", "Finset.sdiff_insert_of_not_mem", "Finset.sdiff_inter_distrib_right", "Finset.sdiff_inter_self", "Finset.sdiff_mem_diffs", "Finset.sdiff_nonempty", "Finset.sdiff_sdiff_eq_sdiff_union", "Finset.sdiff_sdiff_eq_self", "Finset.sdiff_sdiff_left'", "Finset.sdiff_sdiff_self_left", "Finset.sdiff_self", "Finset.sdiff_singleton_eq_erase", "Finset.sdiff_singleton_eq_self", "Finset.sdiff_ssubset", "Finset.sdiff_subset", "Finset.sdiff_subset_sdiff", "Finset.sdiff_union_erase_cancel", "Finset.sdiff_union_inter", "Finset.sdiff_union_of_subset", "Finset.sdiff_union_sdiff_cancel", "Finset.sdiff_union_self_eq_union", "Finset.sdiff_val", "Finset.seqLeft_def", "Finset.seqRight_def", "Finset.seq_def", "Finset.setOf_mem", "Finset.set_biInter_finset_image", "Finset.set_biInter_insert", "Finset.set_biInter_insert_update", "Finset.set_biInter_inter", "Finset.set_biInter_option_toFinset", "Finset.set_biInter_singleton", "Finset.set_biUnion_coe", "Finset.set_biUnion_finset_image", "Finset.set_biUnion_insert_update", "Finset.set_biUnion_option_toFinset", "Finset.set_biUnion_preimage_singleton", "Finset.set_biUnion_singleton", "Finset.set_biUnion_union", "Finset.shadow_compls", "Finset.shadow_empty", "Finset.shadow_iterate_empty", "Finset.shadow_monotone", "Finset.shadow_singleton_empty", "Finset.shatterer_eq", "Finset.shatterer_idem", "Finset.shatterer_mono", "Finset.shatters_empty", "Finset.shatters_iff", "Finset.shatters_shatterer", "Finset.shatters_univ", "Finset.sigmaLift_eq_empty", "Finset.sigmaLift_mono", "Finset.sigmaLift_nonempty", "Finset.sigma_eq_biUnion", "Finset.sigma_eq_empty", "Finset.sigma_image_fst_preimage_mk", "Finset.sigma_preimage_mk", "Finset.sigma_preimage_mk_of_subset", "Finset.single_lt_prod'", "Finset.singletonOneHom_apply", "Finset.singleton_biUnion", "Finset.singleton_diffs", "Finset.singleton_disjUnion", "Finset.singleton_disjiUnion", "Finset.singleton_div", "Finset.singleton_div_singleton", "Finset.singleton_eq_univ", "Finset.singleton_iff_unique_mem", "Finset.singleton_infs_singleton", "Finset.singleton_inj", "Finset.singleton_inter_of_mem", "Finset.singleton_inter_of_not_mem", "Finset.singleton_mul", "Finset.singleton_one", "Finset.singleton_product", "Finset.singleton_product_singleton", "Finset.singleton_smul", "Finset.singleton_smul_singleton", "Finset.singleton_subset_coe", "Finset.singleton_subset_iff", "Finset.singleton_subset_set_iff", "Finset.singleton_subset_singleton", "Finset.singleton_sups", "Finset.singleton_sups_singleton", "Finset.singleton_val", "Finset.singleton_vsub_singleton", "Finset.sizeOf_lt_sizeOf_of_mem", "Finset.sized_compls", "Finset.sized_falling", "Finset.sized_shadow_iff", "Finset.sized_slice", "Finset.slice_subset", "Finset.slice_union_shadow_falling_succ", "Finset.smul_card_le", "Finset.smul_def", "Finset.smul_empty", "Finset.smul_finset_def", "Finset.smul_finset_empty", "Finset.smul_finset_eq_empty", "Finset.smul_finset_inter_subset", "Finset.smul_finset_inter\u2080", "Finset.smul_finset_neg", "Finset.smul_finset_nonempty", "Finset.smul_finset_sdiff", "Finset.smul_finset_sdiff\u2080", "Finset.smul_finset_singleton", "Finset.smul_finset_subset_iff", "Finset.smul_finset_subset_smul", "Finset.smul_finset_subset_smul_finset", "Finset.smul_finset_subset_smul_finset_iff", "Finset.smul_finset_subset_smul_finset_iff\u2080", "Finset.smul_finset_symmDiff\u2080", "Finset.smul_mem_smul", "Finset.smul_mem_smul_finset", "Finset.smul_mem_smul_finset_iff", "Finset.smul_mem_smul_finset_iff\u2080", "Finset.smul_neg", "Finset.smul_nonempty_iff", "Finset.smul_prod", "Finset.smul_subset_iff", "Finset.smul_subset_smul", "Finset.smul_sum", "Finset.smul_univ", "Finset.smul_univ\u2080", "Finset.smul_univ\u2080'", "Finset.smul_zero_subset", "Finset.some_mem_insertNone", "Finset.sort_empty", "Finset.sort_eq", "Finset.sort_nodup", "Finset.sort_perm_toList", "Finset.sort_sorted", "Finset.sort_sorted_gt", "Finset.sort_sorted_lt", "Finset.sorted_last_eq_max'", "Finset.sorted_last_eq_max'_aux", "Finset.sorted_zero_eq_min'", "Finset.sorted_zero_eq_min'_aux", "Finset.ssubset_cons", "Finset.ssubset_def", "Finset.ssubset_iff", "Finset.ssubset_iff_exists_cons_subset", "Finset.ssubset_iff_exists_subset_erase", "Finset.ssubset_iff_subset_ne", "Finset.ssubset_insert", "Finset.ssubset_of_ssubset_of_subset", "Finset.ssubset_of_subset_of_ssubset", "Finset.ssubset_singleton_iff", "Finset.ssubset_univ_iff", "Finset.strictMono_iff_forall_lt_cons", "Finset.strictMono_iff_forall_lt_insert", "Finset.strictMono_sym2", "Finset.strongDownwardInductionOn_eq", "Finset.strongInduction_eq", "Finset.stronglyMeasurable_prod", "Finset.subset_biUnion_of_mem", "Finset.subset_compl_comm", "Finset.subset_compl_singleton", "Finset.subset_cons", "Finset.subset_def", "Finset.subset_div", "Finset.subset_empty", "Finset.subset_erase", "Finset.subset_iff", "Finset.subset_iff_eq_of_card_le", "Finset.subset_image_iff", "Finset.subset_image\u2082", "Finset.subset_infs_self", "Finset.subset_insert", "Finset.subset_insert_iff", "Finset.subset_insert_iff_of_not_mem", "Finset.subset_inter", "Finset.subset_map_iff", "Finset.subset_map_symm", "Finset.subset_mul", "Finset.subset_mulSpan", "Finset.subset_mul_left", "Finset.subset_one_iff_eq", "Finset.subset_product", "Finset.subset_product_image_fst", "Finset.subset_product_image_snd", "Finset.subset_set_biUnion_of_mem", "Finset.subset_shatterer", "Finset.subset_singleton_iff", "Finset.subset_singleton_iff'", "Finset.subset_smul", "Finset.subset_smul_finset_iff", "Finset.subset_smul_finset_iff\u2080", "Finset.subset_sups", "Finset.subset_union_elim", "Finset.subset_union_left", "Finset.subset_union_right", "Finset.subset_univ", "Finset.subset_vsub", "Finset.subtype_Icc_eq", "Finset.subtype_Ici_eq", "Finset.subtype_Ico_eq", "Finset.subtype_Iic_eq", "Finset.subtype_eq_empty", "Finset.subtype_eq_univ", "Finset.subtype_map", "Finset.subtype_map_of_mem", "Finset.subtype_mono", "Finset.subtype_univ", "Finset.sumLexLift_eq_empty", "Finset.sumLexLift_inl_inl", "Finset.sumLexLift_inr_inl", "Finset.sumLexLift_inr_inr", "Finset.sumLexLift_mono", "Finset.sumLexLift_nonempty", "Finset.sumLift\u2082_eq_empty", "Finset.sumLift\u2082_mono", "Finset.sumLift\u2082_nonempty", "Finset.sum_Ico_Ico_comm", "Finset.sum_Ico_Ico_comm'", "Finset.sum_Ico_by_parts", "Finset.sum_Ico_reflect", "Finset.sum_affineCombinationLineMapWeights", "Finset.sum_affineCombinationSingleWeights", "Finset.sum_antidiagonal_choose_succ_mul", "Finset.sum_apply'", "Finset.sum_boole_mul", "Finset.sum_card", "Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow", "Finset.sum_card_fiberwise_eq_card_filter", "Finset.sum_card_inter", "Finset.sum_card_inter_le", "Finset.sum_card_le", "Finset.sum_card_slice", "Finset.sum_card_slice_div_choose_le_one", "Finset.sum_centroidWeightsIndicator", "Finset.sum_centroidWeightsIndicator_eq_one_of_card_ne_zero", "Finset.sum_centroidWeights_eq_one_of_card_eq_add_one", "Finset.sum_centroidWeights_eq_one_of_card_ne_zero", "Finset.sum_centroidWeights_eq_one_of_cast_card_ne_zero", "Finset.sum_choose_succ_mul", "Finset.sum_condensed_le", "Finset.sum_condensed_le'", "Finset.sum_const_nat", "Finset.sum_div", "Finset.sum_filter_count_eq_countP", "Finset.sum_indicator_mod", "Finset.sum_int_mod", "Finset.sum_mul", "Finset.sum_mul_boole", "Finset.sum_mul_sq_le_sq_mul_sq", "Finset.sum_mul_sum", "Finset.sum_multiset_singleton", "Finset.sum_nat_mod", "Finset.sum_pow", "Finset.sum_pow'", "Finset.sum_pow_mul_eq_add_pow", "Finset.sum_pow_of_commute", "Finset.sum_powerset_apply_card", "Finset.sum_powerset_neg_one_pow_card", "Finset.sum_powerset_neg_one_pow_card_of_nonempty", "Finset.sum_prod_piFinset", "Finset.sum_range_by_parts", "Finset.sum_range_id", "Finset.sum_range_id_mul_two", "Finset.sum_range_reflect", "Finset.sum_range_succ_mul_sum_range_succ", "Finset.sum_range_tsub", "Finset.sum_schlomilch_le", "Finset.sum_schlomilch_le'", "Finset.sum_single_ite", "Finset.sum_smul", "Finset.sum_smul_const_vsub_eq_neg_weightedVSub", "Finset.sum_smul_const_vsub_eq_sub_weightedVSubOfPoint", "Finset.sum_smul_const_vsub_eq_vsub_affineCombination", "Finset.sum_smul_sum", "Finset.sum_smul_sum_eq_sum_perm", "Finset.sum_smul_vsub_const_eq_weightedVSub", "Finset.sum_smul_vsub_eq_affineCombination_vsub", "Finset.sum_smul_vsub_eq_weightedVSubOfPoint_sub", "Finset.sum_smul_vsub_eq_weightedVSub_sub", "Finset.sum_weightedVSubVSubWeights", "Finset.sup'_Iic", "Finset.sup'_biUnion", "Finset.sup'_comm", "Finset.sup'_comp_eq_image", "Finset.sup'_comp_eq_map", "Finset.sup'_congr", "Finset.sup'_cons", "Finset.sup'_const", "Finset.sup'_eq_csSup_image", "Finset.sup'_eq_sup", "Finset.sup'_id_eq_csSup", "Finset.sup'_image", "Finset.sup'_image\u2082_le", "Finset.sup'_image\u2082_left", "Finset.sup'_image\u2082_right", "Finset.sup'_induction", "Finset.sup'_inf_distrib_left", "Finset.sup'_inf_distrib_right", "Finset.sup'_inf_sup'", "Finset.sup'_insert", "Finset.sup'_inv", "Finset.sup'_le_iff", "Finset.sup'_lt_iff", "Finset.sup'_map", "Finset.sup'_mem", "Finset.sup'_mono", "Finset.sup'_product_left", "Finset.sup'_product_right", "Finset.sup'_singleton", "Finset.sup'_union", "Finset.sup'_univ_eq_ciSup", "Finset.supIndep_attach", "Finset.supIndep_iff_disjoint_erase", "Finset.supIndep_map", "Finset.supIndep_pair", "Finset.supIndep_product_iff", "Finset.supIndep_singleton", "Finset.supIndep_univ_bool", "Finset.supIndep_univ_fin_two", "Finset.sup_Iic", "Finset.sup_apply", "Finset.sup_biUnion", "Finset.sup_bot", "Finset.sup_coe", "Finset.sup_comm", "Finset.sup_congr", "Finset.sup_cons", "Finset.sup_const_le", "Finset.sup_def", "Finset.sup_div_le", "Finset.sup_div_left", "Finset.sup_div_right", "Finset.sup_empty", "Finset.sup_eq_biUnion", "Finset.sup_eq_bot_iff", "Finset.sup_eq_iSup", "Finset.sup_eq_sSup_image", "Finset.sup_eq_top_iff", "Finset.sup_eq_union", "Finset.sup_erase_bot", "Finset.sup_himp_right", "Finset.sup_id_eq_sSup", "Finset.sup_id_set_eq_sUnion", "Finset.sup_image", "Finset.sup_image\u2082_left", "Finset.sup_image\u2082_right", "Finset.sup_induction", "Finset.sup_inf", "Finset.sup_inf_distrib_left", "Finset.sup_inf_distrib_right", "Finset.sup_inf_sup", "Finset.sup_insert", "Finset.sup_inv", "Finset.sup_le_iff", "Finset.sup_le_of_le_directed", "Finset.sup_lt_iff", "Finset.sup_map", "Finset.sup_mem_sups", "Finset.sup_mono", "Finset.sup_mono_fun", "Finset.sup_mul_le", "Finset.sup_mul_le_mul_sup_of_nonneg", "Finset.sup_mul_left", "Finset.sup_mul_right", "Finset.sup_prodMap", "Finset.sup_product_left", "Finset.sup_product_right", "Finset.sup_sdiff_left", "Finset.sup_sdiff_right", "Finset.sup_set_eq_biUnion", "Finset.sup_sigma", "Finset.sup_singleton''", "Finset.sup_sup", "Finset.sup_toFinset", "Finset.sup_union", "Finset.sup_univ_eq_ciSup", "Finset.support_mulAntidiagonal_subset_mul", "Finset.support_prod", "Finset.support_prod_subset", "Finset.support_sum_eq", "Finset.support_sum_subset", "Finset.sups_assoc", "Finset.sups_aux", "Finset.sups_comm", "Finset.sups_eq_empty", "Finset.sups_eq_self", "Finset.sups_infs_subset_left", "Finset.sups_infs_subset_right", "Finset.sups_inter_subset_left", "Finset.sups_nonempty", "Finset.sups_singleton", "Finset.sups_subset", "Finset.sups_subset_right", "Finset.sups_subset_self", "Finset.sups_sups_sups_comm", "Finset.sups_union_left", "Finset.surj_on_of_inj_on_of_card_le", "Finset.swap_mem_antidiagonal", "Finset.swap_mem_mulAntidiagonal", "Finset.sym2_empty", "Finset.sym2_eq_empty", "Finset.sym2_eq_image", "Finset.sym2_mono", "Finset.sym2_nonempty", "Finset.sym2_singleton", "Finset.sym2_toFinset", "Finset.sym2_univ", "Finset.sym_empty", "Finset.sym_eq_empty", "Finset.sym_fill_mem", "Finset.sym_inter", "Finset.sym_mono", "Finset.sym_nonempty", "Finset.sym_union", "Finset.toDual_max'", "Finset.toDual_min'", "Finset.toDual_sup", "Finset.toDual_sup'", "Finset.toList_cons", "Finset.toList_eq_singleton_iff", "Finset.toList_insert", "Finset.toList_singleton", "Finset.tprod_subtype", "Finset.trop_inf", "Finset.truncatedInf_le", "Finset.truncatedInf_of_isAntichain", "Finset.truncatedInf_of_mem", "Finset.truncatedInf_singleton", "Finset.truncatedInf_sups", "Finset.truncatedInf_sups_of_not_mem", "Finset.truncatedInf_union", "Finset.truncatedInf_union_left", "Finset.truncatedInf_union_of_not_mem", "Finset.truncatedInf_union_right", "Finset.truncatedSup_empty", "Finset.truncatedSup_infs", "Finset.truncatedSup_infs_of_not_mem", "Finset.truncatedSup_of_isAntichain", "Finset.truncatedSup_of_mem", "Finset.truncatedSup_of_not_mem", "Finset.truncatedSup_singleton", "Finset.truncatedSup_union", "Finset.truncatedSup_union_left", "Finset.truncatedSup_union_right", "Finset.two_lt_card_iff", "Finset.uIcc_comm", "Finset.uIcc_eq_union", "Finset.uIcc_injective_left", "Finset.uIcc_injective_right", "Finset.uIcc_of_ge", "Finset.uIcc_of_le", "Finset.uIcc_of_not_le", "Finset.uIcc_subset_Icc", "Finset.uIcc_subset_uIcc", "Finset.uIcc_subset_uIcc_iff_le", "Finset.uIcc_subset_uIcc_iff_mem", "Finset.uIcc_subset_uIcc_right", "Finset.uIcc_subset_uIcc_union_uIcc", "Finset.uIcc_toDual", "Finset.union_assoc", "Finset.union_comm", "Finset.union_compl", "Finset.union_congr_left", "Finset.union_congr_right", "Finset.union_div_inter_subset_union", "Finset.union_empty", "Finset.union_eq_left", "Finset.union_eq_sdiff_union_sdiff_union_inter", "Finset.union_eq_union_iff_left", "Finset.union_eq_union_iff_right", "Finset.union_erase_of_mem", "Finset.union_idempotent", "Finset.union_insert", "Finset.union_inter_cancel_left", "Finset.union_inter_cancel_right", "Finset.union_inter_distrib_right", "Finset.union_left_comm", "Finset.union_mem_sups", "Finset.union_mul", "Finset.union_mul_inter_subset_union", "Finset.union_product", "Finset.union_right_comm", "Finset.union_right_idem", "Finset.union_sdiff_cancel_left", "Finset.union_sdiff_cancel_right", "Finset.union_sdiff_distrib", "Finset.union_sdiff_left", "Finset.union_sdiff_of_subset", "Finset.union_sdiff_right", "Finset.union_sdiff_self", "Finset.union_sdiff_self_eq_union", "Finset.union_sdiff_symm", "Finset.union_self", "Finset.union_subset", "Finset.union_subset_iff", "Finset.union_subset_right", "Finset.union_subset_union", "Finset.union_subset_union_left", "Finset.union_union_distrib_left", "Finset.union_union_distrib_right", "Finset.union_val", "Finset.union_val_nd", "Finset.union_vsub", "Finset.univ_disjSum_univ", "Finset.univ_div_univ", "Finset.univ_eq_attach", "Finset.univ_eq_empty", "Finset.univ_eq_empty_iff", "Finset.univ_filter_mem_range", "Finset.univ_fin2", "Finset.univ_infs_univ", "Finset.univ_inter", "Finset.univ_map_embedding", "Finset.univ_map_equiv_to_embedding", "Finset.univ_map_subtype", "Finset.univ_mul_univ", "Finset.univ_nonempty", "Finset.univ_nonempty_iff", "Finset.univ_of_card_le_three", "Finset.univ_of_card_le_two", "Finset.univ_perm_fin_succ", "Finset.univ_perm_option", "Finset.univ_pi_univ", "Finset.univ_pow", "Finset.univ_prod_mulSingle", "Finset.univ_product_univ", "Finset.univ_shatters", "Finset.univ_sigma_univ", "Finset.univ_subset_iff", "Finset.univ_sups_univ", "Finset.univ_unique", "Finset.univ_val_map_subtype_restrict", "Finset.univ_val_map_subtype_val", "Finset.untrop_sum", "Finset.untrop_sum'", "Finset.upShadow_compls", "Finset.upShadow_monotone", "Finset.update_eq_piecewise", "Finset.update_piecewise", "Finset.update_piecewise_of_mem", "Finset.update_piecewise_of_not_mem", "Finset.upper_aux", "Finset.val_covBy_val", "Finset.val_disjSum", "Finset.val_eq_singleton_iff", "Finset.val_eq_zero", "Finset.val_inj", "Finset.val_injective", "Finset.val_le_iff", "Finset.val_lt_iff", "Finset.val_strictMono", "Finset.val_toFinset", "Finset.val_wcovBy_val", "Finset.vsub_def", "Finset.vsub_inter_subset", "Finset.vsub_mem_vsub", "Finset.vsub_nonempty", "Finset.vsub_singleton", "Finset.vsub_subset_vsub_left", "Finset.weightedVSubOfPoint_apply", "Finset.weightedVSubOfPoint_apply_const", "Finset.weightedVSubOfPoint_congr", "Finset.weightedVSubOfPoint_const_smul", "Finset.weightedVSubOfPoint_eq_of_sum_eq_zero", "Finset.weightedVSubOfPoint_eq_of_weights_eq", "Finset.weightedVSubOfPoint_erase", "Finset.weightedVSubOfPoint_filter_of_ne", "Finset.weightedVSubOfPoint_indicator_subset", "Finset.weightedVSubOfPoint_insert", "Finset.weightedVSubOfPoint_map", "Finset.weightedVSubOfPoint_sdiff", "Finset.weightedVSubOfPoint_sdiff_sub", "Finset.weightedVSubOfPoint_subtype_eq_filter", "Finset.weightedVSubOfPoint_vadd_eq_of_sum_eq_one", "Finset.weightedVSubVSubWeights_apply_left", "Finset.weightedVSubVSubWeights_apply_of_ne", "Finset.weightedVSubVSubWeights_self", "Finset.weightedVSub_apply", "Finset.weightedVSub_apply_const", "Finset.weightedVSub_const_smul", "Finset.weightedVSub_empty", "Finset.weightedVSub_eq_linear_combination", "Finset.weightedVSub_eq_weightedVSubOfPoint_of_sum_eq_zero", "Finset.weightedVSub_filter_of_ne", "Finset.weightedVSub_indicator_subset", "Finset.weightedVSub_map", "Finset.weightedVSub_sdiff", "Finset.weightedVSub_sdiff_sub", "Finset.weightedVSub_vadd_affineCombination", "Finset.wellFoundedOn_bUnion", "Finset.wellFoundedOn_sup", "Finset.zero_div_subset", "Finset.zero_mem_box", "Finset.zero_mem_smul_finset_iff", "Finset.zero_mem_smul_iff", "Finset.zero_mul_subset", "Finset.zero_smul_finset", "Finset.zero_smul_finset_subset", "Finset.zero_smul_subset", "Finsupp.Icc_eq", "Finsupp.Lex.acc", "Finsupp.Lex.wellFounded", "Finsupp.LinearEquiv.finsuppUnique_symm_apply", "Finsupp.addHom_ext", "Finsupp.add_apply", "Finsupp.add_eq_zero_iff", "Finsupp.antidiagonal_single", "Finsupp.apply_eq_of_mem_graph", "Finsupp.apply_single", "Finsupp.apply_total", "Finsupp.apply_total_id", "Finsupp.card_Ico", "Finsupp.card_Iic", "Finsupp.card_Iio", "Finsupp.card_Ioo", "Finsupp.card_pi", "Finsupp.card_support_eq_one", "Finsupp.card_support_eq_one'", "Finsupp.card_support_eq_zero", "Finsupp.card_support_le_one'", "Finsupp.card_toMultiset", "Finsupp.card_uIcc", "Finsupp.ceilDiv_apply", "Finsupp.ceilDiv_def", "Finsupp.coe_add", "Finsupp.coe_basis", "Finsupp.coe_eq_zero", "Finsupp.coe_lsum", "Finsupp.coe_lt_coe", "Finsupp.coe_mk", "Finsupp.coe_mono", "Finsupp.coe_neLocus", "Finsupp.coe_orderIsoMultiset", "Finsupp.coe_orderIsoMultiset_symm", "Finsupp.coe_pointwise_smul", "Finsupp.coe_smul", "Finsupp.coe_strictMono", "Finsupp.coe_sum", "Finsupp.coe_sumElim", "Finsupp.coe_tsub", "Finsupp.coe_update", "Finsupp.coe_zero", "Finsupp.comapDomain_add", "Finsupp.comapDomain_add_of_injective", "Finsupp.comapDomain_single", "Finsupp.comapDomain_smul", "Finsupp.comapDomain_smul_of_injective", "Finsupp.comapSMul_apply", "Finsupp.comapSMul_def", "Finsupp.comp_liftAddHom", "Finsupp.comul_comp_lapply", "Finsupp.comul_comp_lsingle", "Finsupp.comul_single", "Finsupp.cons_ne_zero_iff", "Finsupp.cons_ne_zero_of_left", "Finsupp.cons_ne_zero_of_right", "Finsupp.cons_succ", "Finsupp.cons_support", "Finsupp.cons_tail", "Finsupp.cons_zero", "Finsupp.cons_zero_zero", "Finsupp.counit_comp_lsingle", "Finsupp.count_toMultiset", "Finsupp.curry_apply", "Finsupp.disjoint_iff", "Finsupp.disjoint_lsingle_lsingle", "Finsupp.disjoint_supported_supported", "Finsupp.disjoint_supported_supported_iff", "Finsupp.distribMulActionHom_ext", "Finsupp.distribMulActionHom_ext'", "Finsupp.domLCongr_apply", "Finsupp.domLCongr_single", "Finsupp.domLCongr_symm", "Finsupp.embDomain_add", "Finsupp.embDomain_apply", "Finsupp.embDomain_comapDomain", "Finsupp.embDomain_eq_mapDomain", "Finsupp.embDomain_injective", "Finsupp.embDomain_mapRange", "Finsupp.embDomain_notin_range", "Finsupp.embDomain_single", "Finsupp.embDomain_zero", "Finsupp.eq_single_iff", "Finsupp.eq_zero_of_comapDomain_eq_zero", "Finsupp.equivCongrLeft_apply", "Finsupp.equivFunOnFinite_single", "Finsupp.equivFunOnFinite_symm_coe", "Finsupp.equivMapDomain_apply", "Finsupp.equivMapDomain_eq_mapDomain", "Finsupp.equivMapDomain_refl", "Finsupp.equivMapDomain_single", "Finsupp.equivMapDomain_symm_apply", "Finsupp.equivMapDomain_trans", "Finsupp.equivMapDomain_zero", "Finsupp.erase_add", "Finsupp.erase_add_single", "Finsupp.erase_apply", "Finsupp.erase_eq_sub_single", "Finsupp.erase_eq_update_zero", "Finsupp.erase_ne", "Finsupp.erase_of_not_mem_support", "Finsupp.erase_same", "Finsupp.erase_single", "Finsupp.erase_single_ne", "Finsupp.erase_sub", "Finsupp.erase_update_eq_erase", "Finsupp.erase_zero", "Finsupp.ext", "Finsupp.ext_iff'", "Finsupp.extendDomain_eq_embDomain_subtype", "Finsupp.extendDomain_single", "Finsupp.extendDomain_subtypeDomain", "Finsupp.filter_add", "Finsupp.filter_apply", "Finsupp.filter_apply_neg", "Finsupp.filter_apply_pos", "Finsupp.filter_curry", "Finsupp.filter_eq_indicator", "Finsupp.filter_eq_self_iff", "Finsupp.filter_eq_sum", "Finsupp.filter_eq_zero_iff", "Finsupp.filter_pos_add_filter_neg", "Finsupp.filter_single_of_neg", "Finsupp.filter_smul", "Finsupp.filter_sum", "Finsupp.filter_zero", "Finsupp.finite_support", "Finsupp.finsuppProdLEquiv_apply", "Finsupp.finsuppProdLEquiv_symm_apply", "Finsupp.floorDiv_apply", "Finsupp.frange_single", "Finsupp.fst_sumFinsuppAddEquivProdFinsupp", "Finsupp.fst_sumFinsuppEquivProdFinsupp", "Finsupp.fst_sumFinsuppLEquivProdFinsupp", "Finsupp.graph_inj", "Finsupp.graph_injective", "Finsupp.iInf_ker_lapply_le_bot", "Finsupp.iSup_lsingle_range", "Finsupp.image_fst_graph", "Finsupp.indicator_apply", "Finsupp.indicator_eq_sum_attach_single", "Finsupp.indicator_eq_sum_single", "Finsupp.indicator_injective", "Finsupp.indicator_of_mem", "Finsupp.indicator_of_not_mem", "Finsupp.induction", "Finsupp.induction_linear", "Finsupp.induction\u2082", "Finsupp.inf_apply", "Finsupp.inner_sum", "Finsupp.isPWO", "Finsupp.ker_lsingle", "Finsupp.lapply_apply", "Finsupp.lcongr_single", "Finsupp.lcongr_symm_single", "Finsupp.le_def", "Finsupp.le_iff", "Finsupp.le_iff'", "Finsupp.lex_def", "Finsupp.lex_eq_invImage_dfinsupp_lex", "Finsupp.lhom_ext", "Finsupp.lhom_ext'", "Finsupp.liftAddHom_apply_single", "Finsupp.liftAddHom_comp_single", "Finsupp.liftAddHom_singleAddHom", "Finsupp.liftAddHom_symm_apply", "Finsupp.liftAddHom_symm_apply_apply", "Finsupp.lift_apply", "Finsupp.lift_symm_apply", "Finsupp.linearEquivFunOnFinite_symm_coe", "Finsupp.linearEquivFunOnFinite_symm_single", "Finsupp.linearIndependent_single", "Finsupp.lmapDomain_apply", "Finsupp.lmapDomain_disjoint_ker", "Finsupp.lmapDomain_id", "Finsupp.lmapDomain_supported", "Finsupp.lmapDomain_total", "Finsupp.log_prod", "Finsupp.lsingle_apply", "Finsupp.lsingle_range_le_ker_lapply", "Finsupp.lsubtypeDomain_apply", "Finsupp.lsum_apply", "Finsupp.lsum_single", "Finsupp.lsum_symm_apply", "Finsupp.lt_def", "Finsupp.lt_of_forall_lt_of_lt", "Finsupp.lt_wf", "Finsupp.mapDomain.addMonoidHom_comp", "Finsupp.mapDomain.addMonoidHom_comp_mapRange", "Finsupp.mapDomain.addMonoidHom_id", "Finsupp.mapDomain_add", "Finsupp.mapDomain_apply", "Finsupp.mapDomain_apply'", "Finsupp.mapDomain_comp", "Finsupp.mapDomain_equiv_apply", "Finsupp.mapDomain_finset_sum", "Finsupp.mapDomain_id", "Finsupp.mapDomain_injOn", "Finsupp.mapDomain_injective", "Finsupp.mapDomain_mapRange", "Finsupp.mapDomain_notin_range", "Finsupp.mapDomain_single", "Finsupp.mapDomain_smul", "Finsupp.mapDomain_support", "Finsupp.mapDomain_support_of_injOn", "Finsupp.mapDomain_support_of_injective", "Finsupp.mapDomain_zero", "Finsupp.mapRange.addEquiv_symm", "Finsupp.mapRange.addEquiv_toEquiv", "Finsupp.mapRange.addEquiv_trans", "Finsupp.mapRange.addMonoidHom_comp", "Finsupp.mapRange.addMonoidHom_toZeroHom", "Finsupp.mapRange.equiv_refl", "Finsupp.mapRange.equiv_trans", "Finsupp.mapRange.linearEquiv_apply", "Finsupp.mapRange.linearEquiv_refl", "Finsupp.mapRange.linearEquiv_symm", "Finsupp.mapRange.linearEquiv_toLinearMap", "Finsupp.mapRange.linearEquiv_trans", "Finsupp.mapRange.linearMap_apply", "Finsupp.mapRange.linearMap_id", "Finsupp.mapRange.linearMap_toAddMonoidHom", "Finsupp.mapRange.zeroHom_comp", "Finsupp.mapRange.zeroHom_id", "Finsupp.mapRange_add", "Finsupp.mapRange_add'", "Finsupp.mapRange_apply", "Finsupp.mapRange_comp", "Finsupp.mapRange_finset_sum", "Finsupp.mapRange_multiset_sum", "Finsupp.mapRange_neLocus_eq", "Finsupp.mapRange_single", "Finsupp.mapRange_smul", "Finsupp.mapRange_sub", "Finsupp.mapRange_sub'", "Finsupp.mapRange_zero", "Finsupp.mem_frange", "Finsupp.mem_graph_iff", "Finsupp.mem_neLocus", "Finsupp.mem_rangeIcc_apply_iff", "Finsupp.mem_span_iff_total", "Finsupp.mem_span_image_iff_total", "Finsupp.mem_span_range_iff_exists_finsupp", "Finsupp.mem_splitSupport_iff_nonzero", "Finsupp.mem_support_iff", "Finsupp.mem_support_multiset_sum", "Finsupp.mem_support_onFinset", "Finsupp.mem_support_single", "Finsupp.mem_supported", "Finsupp.mem_supported'", "Finsupp.mem_supported_support", "Finsupp.mem_toAlist", "Finsupp.mem_toMultiset", "Finsupp.mk_mem_graph", "Finsupp.mk_mem_graph_iff", "Finsupp.mulHom_ext", "Finsupp.mul_prod_erase", "Finsupp.mul_prod_erase'", "Finsupp.mul_sum", "Finsupp.multinomial_update", "Finsupp.multiset_sum_sum", "Finsupp.multiset_sum_sum_index", "Finsupp.neLocus_add_right", "Finsupp.neLocus_comm", "Finsupp.neLocus_eq_empty", "Finsupp.neLocus_eq_support_sub", "Finsupp.neLocus_neg", "Finsupp.neLocus_neg_neg", "Finsupp.neLocus_self_add_right", "Finsupp.neLocus_self_sub_right", "Finsupp.neLocus_sub_left", "Finsupp.neLocus_sub_right", "Finsupp.neLocus_zero_left", "Finsupp.neLocus_zero_right", "Finsupp.ne_iff", "Finsupp.nonempty_neLocus_iff", "Finsupp.not_mem_graph_snd_zero", "Finsupp.not_mem_support_iff", "Finsupp.ofSupportFinite_coe", "Finsupp.onFinset_apply", "Finsupp.onFinset_prod", "Finsupp.prod_add_index", "Finsupp.prod_add_index_of_disjoint", "Finsupp.prod_antidiagonal_swap", "Finsupp.prod_comm", "Finsupp.prod_congr", "Finsupp.prod_dvd_prod_of_subset_of_dvd", "Finsupp.prod_embDomain", "Finsupp.prod_eq_single", "Finsupp.prod_equivMapDomain", "Finsupp.prod_filter_index", "Finsupp.prod_filter_mul_prod_filter_not", "Finsupp.prod_finset_sum_index", "Finsupp.prod_fintype", "Finsupp.prod_hom_add_index", "Finsupp.prod_indicator_index", "Finsupp.prod_indicator_index_eq_prod_attach", "Finsupp.prod_ite_eq", "Finsupp.prod_ite_eq'", "Finsupp.prod_mapDomain_index_inj", "Finsupp.prod_mapRange_index", "Finsupp.prod_mul", "Finsupp.prod_mul_eq_prod_mul_of_exists", "Finsupp.prod_of_support_subset", "Finsupp.prod_option_index", "Finsupp.prod_pow", "Finsupp.prod_single_index", "Finsupp.prod_subtypeDomain_index", "Finsupp.prod_toMultiset", "Finsupp.prod_zero_index", "Finsupp.range_restrictDom", "Finsupp.range_total", "Finsupp.restrictDom_comp_subtype", "Finsupp.sigmaFinsuppAddEquivPiFinsupp_apply", "Finsupp.sigmaFinsuppEquivPiFinsupp_apply", "Finsupp.sigmaFinsuppLEquivPiFinsupp_apply", "Finsupp.sigma_sum", "Finsupp.sigma_support", "Finsupp.single_add_single_eq_single_add_single", "Finsupp.single_apply", "Finsupp.single_apply_eq_zero", "Finsupp.single_apply_left", "Finsupp.single_apply_mem", "Finsupp.single_apply_ne_zero", "Finsupp.single_eq_indicator", "Finsupp.single_eq_of_ne", "Finsupp.single_eq_pi_single", "Finsupp.single_eq_same", "Finsupp.single_eq_set_indicator", "Finsupp.single_eq_single_iff", "Finsupp.single_eq_update", "Finsupp.single_eq_zero", "Finsupp.single_finset_sum", "Finsupp.single_injective", "Finsupp.single_le_iff", "Finsupp.single_mem_supported", "Finsupp.single_multiset_sum", "Finsupp.single_neg", "Finsupp.single_of_embDomain_single", "Finsupp.single_of_single_apply", "Finsupp.single_smul", "Finsupp.single_sub", "Finsupp.single_swap", "Finsupp.single_tsub", "Finsupp.single_zero", "Finsupp.smul_apply", "Finsupp.smul_single", "Finsupp.smul_single'", "Finsupp.smul_single_one", "Finsupp.smul_sum", "Finsupp.snd_sumFinsuppEquivProdFinsupp", "Finsupp.snd_sumFinsuppLEquivProdFinsupp", "Finsupp.some_add", "Finsupp.some_apply", "Finsupp.some_single_some", "Finsupp.some_zero", "Finsupp.span_eq_range_total", "Finsupp.span_image_eq_map_total", "Finsupp.span_single_image", "Finsupp.split_apply", "Finsupp.sub_apply", "Finsupp.sub_single_one_add", "Finsupp.subset_mapRange_neLocus", "Finsupp.subset_support_tsub", "Finsupp.subtypeDomain_add", "Finsupp.subtypeDomain_eq_zero_iff", "Finsupp.subtypeDomain_eq_zero_iff'", "Finsupp.subtypeDomain_extendDomain", "Finsupp.subtypeDomain_finsupp_sum", "Finsupp.subtypeDomain_piecewise", "Finsupp.subtypeDomain_sub", "Finsupp.subtypeDomain_zero", "Finsupp.sumElim_inr", "Finsupp.sumFinsuppAddEquivProdFinsupp_symm_inl", "Finsupp.sumFinsuppAddEquivProdFinsupp_symm_inr", "Finsupp.sumFinsuppEquivProdFinsupp_symm_inl", "Finsupp.sumFinsuppEquivProdFinsupp_symm_inr", "Finsupp.sumFinsuppLEquivProdFinsupp_symm_inl", "Finsupp.sumFinsuppLEquivProdFinsupp_symm_inr", "Finsupp.sum_apply", "Finsupp.sum_apply'", "Finsupp.sum_cons", "Finsupp.sum_cons'", "Finsupp.sum_curry_index", "Finsupp.sum_hom_add_index", "Finsupp.sum_id_lt_of_lt", "Finsupp.sum_inner", "Finsupp.sum_ite_self_eq", "Finsupp.sum_ite_self_eq'", "Finsupp.sum_ite_self_eq_aux", "Finsupp.sum_mul", "Finsupp.sum_option_index_smul", "Finsupp.sum_single", "Finsupp.sum_smul_index'", "Finsupp.sum_smul_index_addMonoidHom", "Finsupp.sum_smul_index_linearMap'", "Finsupp.sum_sum_index'", "Finsupp.sum_update_add", "Finsupp.sum_zero", "Finsupp.sup_apply", "Finsupp.support_add", "Finsupp.support_add_eq", "Finsupp.support_ceilDiv_subset", "Finsupp.support_curry", "Finsupp.support_embDomain", "Finsupp.support_eq_empty", "Finsupp.support_eq_singleton", "Finsupp.support_erase", "Finsupp.support_extendDomain_subset", "Finsupp.support_filter", "Finsupp.support_finset_sum", "Finsupp.support_floorDiv_subset", "Finsupp.support_indicator_subset", "Finsupp.support_inf", "Finsupp.support_inf_union_support_sup", "Finsupp.support_mapRange", "Finsupp.support_mapRange_of_injective", "Finsupp.support_mono", "Finsupp.support_monotone", "Finsupp.support_mul", "Finsupp.support_neg", "Finsupp.support_nonempty_iff", "Finsupp.support_onFinset_subset", "Finsupp.support_single_disjoint", "Finsupp.support_single_ne_bot", "Finsupp.support_single_ne_zero", "Finsupp.support_single_subset", "Finsupp.support_smul", "Finsupp.support_smul_eq", "Finsupp.support_sub", "Finsupp.support_subset_iff", "Finsupp.support_subset_singleton'", "Finsupp.support_subtypeDomain", "Finsupp.support_sum", "Finsupp.support_sum_eq_biUnion", "Finsupp.support_sup", "Finsupp.support_sup_union_support_inf", "Finsupp.support_tsub", "Finsupp.support_update", "Finsupp.support_update_ne_zero", "Finsupp.support_update_subset", "Finsupp.support_update_zero", "Finsupp.support_zero", "Finsupp.support_zipWith", "Finsupp.supported_comap_lmapDomain", "Finsupp.supported_empty", "Finsupp.supported_eq_span_single", "Finsupp.supported_iInter", "Finsupp.supported_iUnion", "Finsupp.supported_inter", "Finsupp.supported_union", "Finsupp.supported_univ", "Finsupp.tail_apply", "Finsupp.tail_cons", "Finsupp.toAList_keys_toFinset", "Finsupp.toAList_lookupFinsupp", "Finsupp.toDFinsupp_add", "Finsupp.toDFinsupp_coe", "Finsupp.toDFinsupp_single", "Finsupp.toDFinsupp_toFinsupp", "Finsupp.toFinset_toMultiset", "Finsupp.toFreeAbelianGroup_comp_singleAddHom", "Finsupp.toFreeAbelianGroup_comp_toFinsupp", "Finsupp.toFreeAbelianGroup_toFinsupp", "Finsupp.toLex_monotone", "Finsupp.toMultiset_apply", "Finsupp.toMultiset_inf", "Finsupp.toMultiset_map", "Finsupp.toMultiset_single", "Finsupp.toMultiset_strictMono", "Finsupp.toMultiset_sum_single", "Finsupp.toMultiset_sup", "Finsupp.toMultiset_zero", "Finsupp.totalOn_range", "Finsupp.total_apply", "Finsupp.total_apply_of_mem_supported", "Finsupp.total_comapDomain", "Finsupp.total_comp_lmapDomain", "Finsupp.total_embDomain", "Finsupp.total_eq_fintype_total_apply", "Finsupp.total_fin_zero", "Finsupp.total_mapDomain", "Finsupp.total_onFinset", "Finsupp.total_option", "Finsupp.total_range", "Finsupp.total_single", "Finsupp.total_surjective", "Finsupp.total_total", "Finsupp.total_unique", "Finsupp.total_zero", "Finsupp.total_zero_apply", "Finsupp.tsub_apply", "Finsupp.unique_ext", "Finsupp.unique_ext_iff", "Finsupp.unique_single", "Finsupp.unique_single_eq_iff", "Finsupp.univ_sum_single", "Finsupp.univ_sum_single_apply", "Finsupp.univ_sum_single_apply'", "Finsupp.update_eq_erase_add_single", "Finsupp.update_eq_single_add_erase", "Finsupp.update_erase_eq_update", "Finsupp.update_self", "Finsupp.wellFoundedLT", "Finsupp.zero_apply", "Finsupp.zero_update", "Finsupp.zipWith_neLocus_eq_right", "Finsupp.zipWith_single_single", "Fintype.IsSimpleOrder.univ", "Fintype.all_card_le_filter_rel_iff_exists_injective", "Fintype.all_card_le_rel_image_card_iff_exists_injective", "Fintype.bijective_iff_injective_and_card", "Fintype.bijective_iff_surjective_and_card", "Fintype.card_bool", "Fintype.card_coe", "Fintype.card_compl_eq_card_compl", "Fintype.card_compl_set", "Fintype.card_congr", "Fintype.card_congr'", "Fintype.card_embedding_eq", "Fintype.card_embedding_eq_of_infinite", "Fintype.card_embedding_eq_of_unique", "Fintype.card_eq", "Fintype.card_eq_card_units_add_one", "Fintype.card_eq_nat_card", "Fintype.card_eq_one_iff", "Fintype.card_eq_sum_ones", "Fintype.card_eq_zero", "Fintype.card_eq_zero_iff", "Fintype.card_filter_piFinset_const", "Fintype.card_filter_piFinset_const_eq_of_mem", "Fintype.card_filter_piFinset_eq", "Fintype.card_filter_piFinset_eq_of_mem", "Fintype.card_fin", "Fintype.card_fin_lt_of_le", "Fintype.card_finset", "Fintype.card_finset_len", "Fintype.card_fun", "Fintype.card_le_card_of_leftTotal_unique", "Fintype.card_le_card_of_rightTotal_unique", "Fintype.card_le_of_embedding", "Fintype.card_le_of_injective", "Fintype.card_le_of_surjective", "Fintype.card_le_one_iff", "Fintype.card_le_one_iff_subsingleton", "Fintype.card_lt_of_injective_not_surjective", "Fintype.card_lt_of_injective_of_not_mem", "Fintype.card_ne_zero", "Fintype.card_ofFinset", "Fintype.card_ofIsEmpty", "Fintype.card_ofSubsingleton", "Fintype.card_of_bijective", "Fintype.card_of_finset'", "Fintype.card_of_subtype", "Fintype.card_orderDual", "Fintype.card_perm", "Fintype.card_piFinset", "Fintype.card_plift", "Fintype.card_pos", "Fintype.card_pos_iff", "Fintype.card_prod", "Fintype.card_prop", "Fintype.card_set", "Fintype.card_shrink", "Fintype.card_sigma", "Fintype.card_subtype", "Fintype.card_subtype_compl", "Fintype.card_subtype_eq", "Fintype.card_subtype_eq'", "Fintype.card_subtype_le", "Fintype.card_subtype_lt", "Fintype.card_subtype_or", "Fintype.card_subtype_or_disjoint", "Fintype.card_sum", "Fintype.card_ulift", "Fintype.card_unique", "Fintype.card_unit", "Fintype.card_units", "Fintype.card_units_int", "Fintype.card_zpowers", "Fintype.choose_spec", "Fintype.choose_subtype_eq", "Fintype.coe_finsetOrderIsoSet_symm", "Fintype.coe_image_univ", "Fintype.eq_of_subsingleton_of_prod_eq", "Fintype.eval_image_piFinset", "Fintype.eval_image_piFinset_const", "Fintype.exists_card_fiber_le_of_card_le_mul", "Fintype.exists_card_fiber_le_of_card_le_nsmul", "Fintype.exists_card_fiber_lt_of_card_lt_mul", "Fintype.exists_le_card_fiber_of_nsmul_le_card", "Fintype.exists_le_sum_fiber_of_nsmul_le_sum", "Fintype.exists_lt_card_fiber_of_mul_lt_card", "Fintype.exists_lt_card_fiber_of_nsmul_lt_card", "Fintype.exists_ne_map_eq_of_card_lt", "Fintype.exists_sum_fiber_lt_of_sum_lt_nsmul", "Fintype.exists_unique_iff_card_one", "Fintype.false", "Fintype.filter_piFinset_of_not_mem", "Fintype.finsetEquivSet_apply", "Fintype.finsetEquivSet_symm_apply", "Fintype.induction_empty_option", "Fintype.induction_subsingleton_or_nontrivial", "Fintype.isPrimePow_card_of_field", "Fintype.linearIndependent_iff", "Fintype.linearIndependent_iff'", "Fintype.mem_piFinset", "Fintype.nonempty_field_iff", "Fintype.not_linearIndependent_iff", "Fintype.ofEquiv_card", "Fintype.one_le_prod", "Fintype.one_lt_card", "Fintype.one_lt_card_iff_nontrivial", "Fintype.one_lt_prod", "Fintype.one_lt_prod_iff_of_one_le", "Fintype.piFinset_disjoint_of_disjoint", "Fintype.piFinset_div", "Fintype.piFinset_image", "Fintype.piFinset_image\u2082", "Fintype.piFinset_mul", "Fintype.piFinset_nonempty", "Fintype.piFinset_singleton", "Fintype.piFinset_smul", "Fintype.piFinset_smul_finset", "Fintype.piFinset_subset", "Fintype.piFinset_subsingleton", "Fintype.piFinset_univ", "Fintype.piFinset_update_eq_filter_piFinset_mem", "Fintype.piFinset_update_singleton_eq_filter_piFinset_eq", "Fintype.prod_add", "Fintype.prod_apply", "Fintype.prod_bijective", "Fintype.prod_bool", "Fintype.prod_dite", "Fintype.prod_dite_eq", "Fintype.prod_dite_eq'", "Fintype.prod_dvd_of_isRelPrime", "Fintype.prod_empty", "Fintype.prod_eq_mul", "Fintype.prod_eq_mul_prod_compl", "Fintype.prod_eq_one_iff_of_le_one", "Fintype.prod_eq_one_iff_of_one_le", "Fintype.prod_eq_prod_compl_mul", "Fintype.prod_equiv", "Fintype.prod_extend_by_one", "Fintype.prod_fiberwise", "Fintype.prod_fiberwise'", "Fintype.prod_ite_eq", "Fintype.prod_ite_eq'", "Fintype.prod_ite_eq_ite_exists", "Fintype.prod_lt_one", "Fintype.prod_mono'", "Fintype.prod_option", "Fintype.prod_pi_mulSingle", "Fintype.prod_pi_mulSingle'", "Fintype.prod_prod_type_right", "Fintype.prod_prod_type_right'", "Fintype.prod_subsingleton", "Fintype.prod_subtype_mul_prod_subtype", "Fintype.prod_sum_elim", "Fintype.prod_sum_type", "Fintype.prod_unique", "Fintype.range_total", "Fintype.rightInverse_bijInv", "Fintype.subtype_card", "Fintype.sum_div_mul_card_choose_card", "Fintype.sum_piFinset_apply", "Fintype.sum_pow", "Fintype.sum_pow_mul_eq_add_pow", "Fintype.total_apply_single", "Fintype.two_lt_card_iff", "Fintype.univ_Prop", "Fintype.univ_bool", "Fintype.univ_empty", "Fintype.univ_ofSubsingleton", "Fintype.univ_pempty", "Fintype.univ_punit", "Fintype.univ_unit", "FintypeCat.Skeleton.incl_mk_nat_card", "FintypeCat.Skeleton.is_skeletal", "FintypeCat.comp_apply", "FintypeCat.discreteTopology", "FintypeCat.hom_inv_id_apply", "FintypeCat.id_apply", "FintypeCat.inv_hom_id_apply", "FintypeCat.isSkeleton", "FirstOrder.Field.FieldAxiom.realize_toSentence_iff_toProp", "FirstOrder.Field.FieldAxiom.toProp_of_model", "FirstOrder.Field.charP_iff_model_fieldOfChar", "FirstOrder.Field.charP_of_model_fieldOfChar", "FirstOrder.Field.realize_eqZero", "FirstOrder.Language.BoundedFormula.IsAtomic.castLE", "FirstOrder.Language.BoundedFormula.IsAtomic.isQF", "FirstOrder.Language.BoundedFormula.IsAtomic.relabel", "FirstOrder.Language.BoundedFormula.IsPrenex.castLE", "FirstOrder.Language.BoundedFormula.IsPrenex.induction_on_all_not", "FirstOrder.Language.BoundedFormula.IsQF.induction_on_sup_not", "FirstOrder.Language.BoundedFormula.IsQF.isPrenex", "FirstOrder.Language.BoundedFormula.IsQF.liftAt", "FirstOrder.Language.BoundedFormula.IsQF.not", "FirstOrder.Language.BoundedFormula.IsQF.relabel", "FirstOrder.Language.BoundedFormula.IsQF.toPrenexImp", "FirstOrder.Language.BoundedFormula.IsQF.toPrenexImpRight", "FirstOrder.Language.BoundedFormula.card_le", "FirstOrder.Language.BoundedFormula.castLE_castLE", "FirstOrder.Language.BoundedFormula.castLE_comp_castLE", "FirstOrder.Language.BoundedFormula.castLE_rfl", "FirstOrder.Language.BoundedFormula.ex_semanticallyEquivalent_not_all_not", "FirstOrder.Language.BoundedFormula.imp_semanticallyEquivalent_not_sup", "FirstOrder.Language.BoundedFormula.induction_on_all_ex", "FirstOrder.Language.BoundedFormula.induction_on_exists_not", "FirstOrder.Language.BoundedFormula.inf_semanticallyEquivalent_not_sup_not", "FirstOrder.Language.BoundedFormula.isPrenex_toPrenexImpRight", "FirstOrder.Language.BoundedFormula.isQF_bot", "FirstOrder.Language.BoundedFormula.listDecode_encode_list", "FirstOrder.Language.BoundedFormula.mapTermRel_id_id_id", "FirstOrder.Language.BoundedFormula.mapTermRel_mapTermRel", "FirstOrder.Language.BoundedFormula.realize_all", "FirstOrder.Language.BoundedFormula.realize_all_liftAt_one_self", "FirstOrder.Language.BoundedFormula.realize_alls", "FirstOrder.Language.BoundedFormula.realize_bdEqual", "FirstOrder.Language.BoundedFormula.realize_castLE_of_eq", "FirstOrder.Language.BoundedFormula.realize_constantsVarsEquiv", "FirstOrder.Language.BoundedFormula.realize_ex", "FirstOrder.Language.BoundedFormula.realize_exs", "FirstOrder.Language.BoundedFormula.realize_foldr_inf", "FirstOrder.Language.BoundedFormula.realize_foldr_sup", "FirstOrder.Language.BoundedFormula.realize_iAlls", "FirstOrder.Language.BoundedFormula.realize_iExs", "FirstOrder.Language.BoundedFormula.realize_iInf", "FirstOrder.Language.BoundedFormula.realize_iSup", "FirstOrder.Language.BoundedFormula.realize_iff", "FirstOrder.Language.BoundedFormula.realize_imp", "FirstOrder.Language.BoundedFormula.realize_inf", "FirstOrder.Language.BoundedFormula.realize_liftAt", "FirstOrder.Language.BoundedFormula.realize_liftAt_one", "FirstOrder.Language.BoundedFormula.realize_liftAt_one_self", "FirstOrder.Language.BoundedFormula.realize_mapTermRel_add_castLe", "FirstOrder.Language.BoundedFormula.realize_mapTermRel_id", "FirstOrder.Language.BoundedFormula.realize_not", "FirstOrder.Language.BoundedFormula.realize_rel", "FirstOrder.Language.BoundedFormula.realize_relabel", "FirstOrder.Language.BoundedFormula.realize_relabelEquiv", "FirstOrder.Language.BoundedFormula.realize_rel\u2081", "FirstOrder.Language.BoundedFormula.realize_rel\u2082", "FirstOrder.Language.BoundedFormula.realize_restrictFreeVar", "FirstOrder.Language.BoundedFormula.realize_subst", "FirstOrder.Language.BoundedFormula.realize_sup", "FirstOrder.Language.BoundedFormula.realize_toFormula", "FirstOrder.Language.BoundedFormula.realize_toPrenex", "FirstOrder.Language.BoundedFormula.realize_toPrenexImp", "FirstOrder.Language.BoundedFormula.realize_toPrenexImpRight", "FirstOrder.Language.BoundedFormula.realize_top", "FirstOrder.Language.BoundedFormula.relabelAux_sum_inl", "FirstOrder.Language.BoundedFormula.relabel_all", "FirstOrder.Language.BoundedFormula.relabel_bot", "FirstOrder.Language.BoundedFormula.relabel_ex", "FirstOrder.Language.BoundedFormula.relabel_falsum", "FirstOrder.Language.BoundedFormula.relabel_imp", "FirstOrder.Language.BoundedFormula.relabel_not", "FirstOrder.Language.BoundedFormula.relabel_sum_inl", "FirstOrder.Language.BoundedFormula.semanticallyEquivalent_all_liftAt", "FirstOrder.Language.BoundedFormula.semanticallyEquivalent_not_not", "FirstOrder.Language.BoundedFormula.sum_elim_comp_relabelAux", "FirstOrder.Language.BoundedFormula.sup_semanticallyEquivalent_not_inf_not", "FirstOrder.Language.BoundedFormula.toPrenex_isPrenex", "FirstOrder.Language.DefinableSet.coe_bot", "FirstOrder.Language.DefinableSet.coe_inf", "FirstOrder.Language.DefinableSet.coe_sdiff", "FirstOrder.Language.DefinableSet.coe_sup", "FirstOrder.Language.DefinableSet.coe_top", "FirstOrder.Language.DefinableSet.mem_compl", "FirstOrder.Language.DefinableSet.mem_sdiff", "FirstOrder.Language.DefinableSet.mem_top", "FirstOrder.Language.DefinableSet.not_mem_bot", "FirstOrder.Language.DirectLimit.Equiv_isup_of_apply", "FirstOrder.Language.DirectLimit.Equiv_isup_symm_inclusion", "FirstOrder.Language.DirectLimit.Equiv_isup_symm_inclusion_apply", "FirstOrder.Language.DirectLimit.cg", "FirstOrder.Language.DirectLimit.comp_unify", "FirstOrder.Language.DirectLimit.equiv_iff", "FirstOrder.Language.DirectLimit.equiv_lift_of", "FirstOrder.Language.DirectLimit.exists_fg_substructure_in_Sigma", "FirstOrder.Language.DirectLimit.exists_of", "FirstOrder.Language.DirectLimit.exists_quotient_mk'_sigma_mk'_eq", "FirstOrder.Language.DirectLimit.exists_unify_eq", "FirstOrder.Language.DirectLimit.funMap_quotient_mk'_sigma_mk'", "FirstOrder.Language.DirectLimit.funMap_unify_equiv", "FirstOrder.Language.DirectLimit.iSup_range_of_eq_top", "FirstOrder.Language.DirectLimit.inductionOn", "FirstOrder.Language.DirectLimit.liftInclusion_of", "FirstOrder.Language.DirectLimit.lift_of", "FirstOrder.Language.DirectLimit.lift_quotient_mk'_sigma_mk'", "FirstOrder.Language.DirectLimit.of_apply", "FirstOrder.Language.DirectLimit.of_f", "FirstOrder.Language.DirectLimit.rangeLiftInclusion", "FirstOrder.Language.DirectLimit.range_lift", "FirstOrder.Language.DirectLimit.relMap_quotient_mk'_sigma_mk'", "FirstOrder.Language.DirectLimit.relMap_unify_equiv", "FirstOrder.Language.DirectLimit.unify_sigma_mk_self", "FirstOrder.Language.DirectedSystem.coe_natLERec", "FirstOrder.Language.DirectedSystem.map_map", "FirstOrder.Language.DirectedSystem.map_self", "FirstOrder.Language.ElementarilyEquivalent.completeTheory_eq", "FirstOrder.Language.ElementarilyEquivalent.infinite_iff", "FirstOrder.Language.ElementarilyEquivalent.nonempty_iff", "FirstOrder.Language.ElementarilyEquivalent.symm", "FirstOrder.Language.ElementarilyEquivalent.theory_model", "FirstOrder.Language.ElementarilyEquivalent.trans", "FirstOrder.Language.ElementaryEmbedding.coe_injective", "FirstOrder.Language.ElementaryEmbedding.coe_toEmbedding", "FirstOrder.Language.ElementaryEmbedding.comp_apply", "FirstOrder.Language.ElementaryEmbedding.elementarilyEquivalent", "FirstOrder.Language.ElementaryEmbedding.ext", "FirstOrder.Language.ElementaryEmbedding.injective", "FirstOrder.Language.ElementaryEmbedding.map_boundedFormula", "FirstOrder.Language.ElementaryEmbedding.map_constants", "FirstOrder.Language.ElementaryEmbedding.map_formula", "FirstOrder.Language.ElementaryEmbedding.map_fun", "FirstOrder.Language.ElementaryEmbedding.map_sentence", "FirstOrder.Language.ElementaryEmbedding.refl_apply", "FirstOrder.Language.ElementaryEmbedding.theory_model_iff", "FirstOrder.Language.ElementaryEmbedding.toEmbedding_toHom", "FirstOrder.Language.ElementarySubstructure.coeSubtype", "FirstOrder.Language.ElementarySubstructure.coe_top", "FirstOrder.Language.ElementarySubstructure.elementarilyEquivalent", "FirstOrder.Language.ElementarySubstructure.isElementary", "FirstOrder.Language.ElementarySubstructure.realize_sentence", "FirstOrder.Language.ElementarySubstructure.theory_model_iff", "FirstOrder.Language.Embedding.age_subset_age", "FirstOrder.Language.Embedding.coeFn_ofInjective", "FirstOrder.Language.Embedding.coe_injective", "FirstOrder.Language.Embedding.coe_toHom", "FirstOrder.Language.Embedding.comp_apply", "FirstOrder.Language.Embedding.comp_assoc", "FirstOrder.Language.Embedding.comp_injective", "FirstOrder.Language.Embedding.comp_refl", "FirstOrder.Language.Embedding.domRestrict_apply", "FirstOrder.Language.Embedding.equivRange_apply", "FirstOrder.Language.Embedding.ext_iff", "FirstOrder.Language.Embedding.injective", "FirstOrder.Language.Embedding.isElementary_of_exists", "FirstOrder.Language.Embedding.map_fun", "FirstOrder.Language.Embedding.map_rel", "FirstOrder.Language.Embedding.ofInjective_toHom", "FirstOrder.Language.Embedding.refl_apply", "FirstOrder.Language.Embedding.refl_comp", "FirstOrder.Language.Embedding.refl_toHom", "FirstOrder.Language.Embedding.substructureEquivMap_apply", "FirstOrder.Language.Embedding.subtype_comp_codRestrict", "FirstOrder.Language.Embedding.subtype_equivRange", "FirstOrder.Language.Embedding.toHom_comp_injective", "FirstOrder.Language.Embedding.toHom_injective", "FirstOrder.Language.Equiv.age_eq_age", "FirstOrder.Language.Equiv.apply_symm_apply", "FirstOrder.Language.Equiv.cg_iff", "FirstOrder.Language.Equiv.coe_injective", "FirstOrder.Language.Equiv.coe_toElementaryEmbedding", "FirstOrder.Language.Equiv.coe_toEmbedding", "FirstOrder.Language.Equiv.coe_toHom", "FirstOrder.Language.Equiv.comp_apply", "FirstOrder.Language.Equiv.comp_assoc", "FirstOrder.Language.Equiv.comp_right_injective", "FirstOrder.Language.Equiv.comp_symm", "FirstOrder.Language.Equiv.comp_toEmbedding", "FirstOrder.Language.Equiv.comp_toHom", "FirstOrder.Language.Equiv.elementarilyEquivalent", "FirstOrder.Language.Equiv.ext", "FirstOrder.Language.Equiv.ext_iff", "FirstOrder.Language.Equiv.injective", "FirstOrder.Language.Equiv.injective_comp", "FirstOrder.Language.Equiv.injective_toEmbedding", "FirstOrder.Language.Equiv.map_constants", "FirstOrder.Language.Equiv.map_fun", "FirstOrder.Language.Equiv.map_rel", "FirstOrder.Language.Equiv.realize_boundedFormula", "FirstOrder.Language.Equiv.realize_formula", "FirstOrder.Language.Equiv.realize_sentence", "FirstOrder.Language.Equiv.realize_term", "FirstOrder.Language.Equiv.refl_apply", "FirstOrder.Language.Equiv.refl_comp", "FirstOrder.Language.Equiv.refl_toEmbedding", "FirstOrder.Language.Equiv.refl_toHom", "FirstOrder.Language.Equiv.self_comp_symm", "FirstOrder.Language.Equiv.self_comp_symm_toEmbedding", "FirstOrder.Language.Equiv.self_comp_symm_toHom", "FirstOrder.Language.Equiv.symm_apply_apply", "FirstOrder.Language.Equiv.symm_comp_self", "FirstOrder.Language.Equiv.symm_comp_self_toEmbedding", "FirstOrder.Language.Equiv.symm_comp_self_toHom", "FirstOrder.Language.Equiv.theory_model", "FirstOrder.Language.Equiv.toElementaryEmbedding_toEmbedding", "FirstOrder.Language.Equiv.toEmbedding_toHom", "FirstOrder.Language.Equiv.toHom_range", "FirstOrder.Language.Formula.equivSentence_inf", "FirstOrder.Language.Formula.inf_semanticallyEquivalent_not_sup_not", "FirstOrder.Language.Formula.realize_bot", "FirstOrder.Language.Formula.realize_equal", "FirstOrder.Language.Formula.realize_equivSentence", "FirstOrder.Language.Formula.realize_equivSentence_symm_con", "FirstOrder.Language.Formula.realize_graph", "FirstOrder.Language.Formula.realize_iAlls", "FirstOrder.Language.Formula.realize_iExs", "FirstOrder.Language.Formula.realize_imp", "FirstOrder.Language.Formula.realize_inf", "FirstOrder.Language.Formula.realize_not", "FirstOrder.Language.Formula.realize_rel", "FirstOrder.Language.Formula.realize_relabel", "FirstOrder.Language.Formula.realize_relabel_sum_inr", "FirstOrder.Language.Formula.realize_rel\u2081", "FirstOrder.Language.Formula.realize_rel\u2082", "FirstOrder.Language.Formula.realize_top", "FirstOrder.Language.Formula.semanticallyEquivalent_not_not", "FirstOrder.Language.Formula.sup_semanticallyEquivalent_not_inf_not", "FirstOrder.Language.Hom.comp_apply", "FirstOrder.Language.Hom.comp_assoc", "FirstOrder.Language.Hom.comp_codRestrict", "FirstOrder.Language.Hom.comp_id", "FirstOrder.Language.Hom.eq_of_eqOn_top", "FirstOrder.Language.Hom.ext", "FirstOrder.Language.Hom.id_apply", "FirstOrder.Language.Hom.id_comp", "FirstOrder.Language.Hom.map_le_range", "FirstOrder.Language.Hom.map_rel", "FirstOrder.Language.Hom.mem_range", "FirstOrder.Language.Hom.mem_range_self", "FirstOrder.Language.Hom.range_coe", "FirstOrder.Language.Hom.range_comp", "FirstOrder.Language.Hom.range_comp_le_range", "FirstOrder.Language.Hom.range_eq_map", "FirstOrder.Language.Hom.range_eq_top", "FirstOrder.Language.Hom.range_id", "FirstOrder.Language.Hom.range_le_iff_comap", "FirstOrder.Language.Hom.realize_term", "FirstOrder.Language.Hom.subtype_comp_codRestrict", "FirstOrder.Language.Hom.toFun_eq_coe", "FirstOrder.Language.HomClass.map_constants", "FirstOrder.Language.HomClass.strongHomClassOfIsAlgebraic", "FirstOrder.Language.IsFraisseLimit.isFraisse", "FirstOrder.Language.IsUltrahomogeneous.age_isFraisse", "FirstOrder.Language.IsUltrahomogeneous.amalgamation_age", "FirstOrder.Language.LEquiv.onBoundedFormula_symm", "FirstOrder.Language.LEquiv.onFormula_apply", "FirstOrder.Language.LEquiv.onFormula_symm", "FirstOrder.Language.LHom.Injective.isExpansionOn_default", "FirstOrder.Language.LHom.coe_substructureReduct", "FirstOrder.Language.LHom.comp_id", "FirstOrder.Language.LHom.comp_onBoundedFormula", "FirstOrder.Language.LHom.comp_onTerm", "FirstOrder.Language.LHom.comp_sumElim", "FirstOrder.Language.LHom.funMap_sumInr", "FirstOrder.Language.LHom.funext", "FirstOrder.Language.LHom.id_comp", "FirstOrder.Language.LHom.id_onBoundedFormula", "FirstOrder.Language.LHom.id_onTerm", "FirstOrder.Language.LHom.map_onFunction", "FirstOrder.Language.LHom.map_onRelation", "FirstOrder.Language.LHom.mem_onTheory", "FirstOrder.Language.LHom.mem_substructureReduct", "FirstOrder.Language.LHom.mk\u2082_funext", "FirstOrder.Language.LHom.onTheory_model", "FirstOrder.Language.LHom.realize_onBoundedFormula", "FirstOrder.Language.LHom.realize_onFormula", "FirstOrder.Language.LHom.realize_onSentence", "FirstOrder.Language.LHom.realize_onTerm", "FirstOrder.Language.LHom.setOf_realize_onFormula", "FirstOrder.Language.LHom.sumElim_comp_inr", "FirstOrder.Language.LHom.sumElim_inl_inr", "FirstOrder.Language.LHom.sumInl_injective", "FirstOrder.Language.LHom.sumMap_comp_inl", "FirstOrder.Language.Relations.realize_antisymmetric", "FirstOrder.Language.Relations.realize_reflexive", "FirstOrder.Language.Relations.realize_symmetric", "FirstOrder.Language.Relations.realize_transitive", "FirstOrder.Language.Sentence.realize_cardGe", "FirstOrder.Language.Sentence.realize_not", "FirstOrder.Language.Structure.CG.map_of_surjective", "FirstOrder.Language.Structure.CG.range", "FirstOrder.Language.Structure.FG.map_of_surjective", "FirstOrder.Language.Structure.FG.range", "FirstOrder.Language.Structure.cg_def", "FirstOrder.Language.Structure.cg_iff", "FirstOrder.Language.Structure.cg_iff_countable", "FirstOrder.Language.Structure.fg_def", "FirstOrder.Language.Structure.fg_iff", "FirstOrder.Language.Structure.funMap_apply\u2081", "FirstOrder.Language.Structure.funMap_apply\u2082", "FirstOrder.Language.Structure.relMap_apply\u2081", "FirstOrder.Language.Structure.relMap_apply\u2082", "FirstOrder.Language.Substructure.CG.map", "FirstOrder.Language.Substructure.CG.of_map_embedding", "FirstOrder.Language.Substructure.FG.cg", "FirstOrder.Language.Substructure.FG.map", "FirstOrder.Language.Substructure.FG.of_map_embedding", "FirstOrder.Language.Substructure.FG.sup", "FirstOrder.Language.Substructure.apply_coe_mem_map", "FirstOrder.Language.Substructure.cg_bot", "FirstOrder.Language.Substructure.cg_closure", "FirstOrder.Language.Substructure.cg_iff_countable", "FirstOrder.Language.Substructure.cg_iff_empty_or_exists_nat_generating_family", "FirstOrder.Language.Substructure.cg_iff_structure_cg", "FirstOrder.Language.Substructure.closure_empty", "FirstOrder.Language.Substructure.closure_eq_of_le", "FirstOrder.Language.Substructure.closure_image", "FirstOrder.Language.Substructure.closure_induction", "FirstOrder.Language.Substructure.closure_induction'", "FirstOrder.Language.Substructure.closure_mono", "FirstOrder.Language.Substructure.closure_union", "FirstOrder.Language.Substructure.closure_withConstants_eq", "FirstOrder.Language.Substructure.coeSort_elementarySkolem\u2081Reduct", "FirstOrder.Language.Substructure.coe_closure_eq_range_term_realize", "FirstOrder.Language.Substructure.coe_copy", "FirstOrder.Language.Substructure.coe_iInf", "FirstOrder.Language.Substructure.coe_inclusion", "FirstOrder.Language.Substructure.coe_inf", "FirstOrder.Language.Substructure.coe_sInf", "FirstOrder.Language.Substructure.coe_topEquiv", "FirstOrder.Language.Substructure.coe_withConstants", "FirstOrder.Language.Substructure.comap_inf", "FirstOrder.Language.Substructure.comap_inf_map_of_injective", "FirstOrder.Language.Substructure.comap_map_comap", "FirstOrder.Language.Substructure.copy_eq", "FirstOrder.Language.Substructure.dense_induction", "FirstOrder.Language.Substructure.fg_bot", "FirstOrder.Language.Substructure.fg_closure", "FirstOrder.Language.Substructure.fg_def", "FirstOrder.Language.Substructure.fg_iff_exists_fin_generating_family", "FirstOrder.Language.Substructure.fg_iff_structure_fg", "FirstOrder.Language.Substructure.inclusion_self", "FirstOrder.Language.Substructure.isElementary_of_exists", "FirstOrder.Language.Substructure.le_comap_map", "FirstOrder.Language.Substructure.lift_card_closure_le", "FirstOrder.Language.Substructure.lift_card_closure_le_card_term", "FirstOrder.Language.Substructure.map_bot", "FirstOrder.Language.Substructure.map_closure", "FirstOrder.Language.Substructure.map_comap_le", "FirstOrder.Language.Substructure.map_comap_map", "FirstOrder.Language.Substructure.map_iSup_comap_of_surjective", "FirstOrder.Language.Substructure.map_id", "FirstOrder.Language.Substructure.map_inf_comap_of_surjective", "FirstOrder.Language.Substructure.map_injective_of_injective", "FirstOrder.Language.Substructure.map_le_map_iff_of_injective", "FirstOrder.Language.Substructure.map_map", "FirstOrder.Language.Substructure.map_strictMono_of_injective", "FirstOrder.Language.Substructure.map_sup", "FirstOrder.Language.Substructure.map_surjective_of_surjective", "FirstOrder.Language.Substructure.mem_closure", "FirstOrder.Language.Substructure.mem_closure_iff_exists_term", "FirstOrder.Language.Substructure.mem_comap", "FirstOrder.Language.Substructure.mem_iInf", "FirstOrder.Language.Substructure.mem_map", "FirstOrder.Language.Substructure.mem_top", "FirstOrder.Language.Substructure.monotone_comap", "FirstOrder.Language.Substructure.monotone_map", "FirstOrder.Language.Substructure.range_subtype", "FirstOrder.Language.Substructure.realize_boundedFormula_top", "FirstOrder.Language.Substructure.realize_formula_top", "FirstOrder.Language.Substructure.skolem\u2081_reduct_isElementary", "FirstOrder.Language.Substructure.subset_closure", "FirstOrder.Language.Substructure.subset_closure_withConstants", "FirstOrder.Language.Term.card_le", "FirstOrder.Language.Term.card_sigma", "FirstOrder.Language.Term.constantsVarsEquivLeft_apply", "FirstOrder.Language.Term.listDecode_encode_list", "FirstOrder.Language.Term.realize_con", "FirstOrder.Language.Term.realize_constants", "FirstOrder.Language.Term.realize_constantsToVars", "FirstOrder.Language.Term.realize_constantsVarsEquivLeft", "FirstOrder.Language.Term.realize_func", "FirstOrder.Language.Term.realize_functions_apply\u2081", "FirstOrder.Language.Term.realize_functions_apply\u2082", "FirstOrder.Language.Term.realize_le", "FirstOrder.Language.Term.realize_liftAt", "FirstOrder.Language.Term.realize_lt", "FirstOrder.Language.Term.realize_mem", "FirstOrder.Language.Term.realize_quotient_mk'", "FirstOrder.Language.Term.realize_relabel", "FirstOrder.Language.Term.realize_restrictVar", "FirstOrder.Language.Term.realize_restrictVarLeft", "FirstOrder.Language.Term.realize_subst", "FirstOrder.Language.Term.realize_varsToConstants", "FirstOrder.Language.Term.relabel_comp_relabel", "FirstOrder.Language.Term.relabel_id", "FirstOrder.Language.Term.relabel_id_eq_id", "FirstOrder.Language.Term.relabel_relabel", "FirstOrder.Language.Theory.CompleteType.compl_setOf_mem", "FirstOrder.Language.Theory.CompleteType.iInter_setOf_subset", "FirstOrder.Language.Theory.CompleteType.isMaximal", "FirstOrder.Language.Theory.CompleteType.mem_or_not_mem", "FirstOrder.Language.Theory.CompleteType.nonempty_iff", "FirstOrder.Language.Theory.CompleteType.not_mem_iff", "FirstOrder.Language.Theory.CompleteType.setOf_mem_eq_univ_iff", "FirstOrder.Language.Theory.CompleteType.setOf_subset_eq_empty_iff", "FirstOrder.Language.Theory.CompleteType.setOf_subset_eq_univ_iff", "FirstOrder.Language.Theory.CompleteType.subset", "FirstOrder.Language.Theory.CompleteType.toList_foldr_inf_mem", "FirstOrder.Language.Theory.IsComplete.models_not_iff", "FirstOrder.Language.Theory.IsComplete.realize_sentence_iff", "FirstOrder.Language.Theory.IsMaximal.mem_of_models", "FirstOrder.Language.Theory.IsSatisfiable.isFinitelySatisfiable", "FirstOrder.Language.Theory.Model.isSatisfiable", "FirstOrder.Language.Theory.Model.union", "FirstOrder.Language.Theory.ModelsBoundedFormula.realize_sentence", "FirstOrder.Language.Theory.SemanticallyEquivalent.all", "FirstOrder.Language.Theory.SemanticallyEquivalent.ex", "FirstOrder.Language.Theory.SemanticallyEquivalent.imp", "FirstOrder.Language.Theory.SemanticallyEquivalent.not", "FirstOrder.Language.Theory.SemanticallyEquivalent.realize_bd_iff", "FirstOrder.Language.Theory.SemanticallyEquivalent.refl", "FirstOrder.Language.Theory.SemanticallyEquivalent.symm", "FirstOrder.Language.Theory.SemanticallyEquivalent.trans", "FirstOrder.Language.Theory.coe_of", "FirstOrder.Language.Theory.completeTheory.subset", "FirstOrder.Language.Theory.exists_large_model_of_infinite_model", "FirstOrder.Language.Theory.exists_modelType_is_realized_in", "FirstOrder.Language.Theory.exists_model_card_eq", "FirstOrder.Language.Theory.isSatisfiable_directed_union_iff", "FirstOrder.Language.Theory.isSatisfiable_empty", "FirstOrder.Language.Theory.isSatisfiable_iUnion_iff_isSatisfiable_iUnion_finset", "FirstOrder.Language.Theory.isSatisfiable_iff_isFinitelySatisfiable", "FirstOrder.Language.Theory.isSatisfiable_of_isSatisfiable_onTheory", "FirstOrder.Language.Theory.isSatisfiable_onTheory_iff", "FirstOrder.Language.Theory.isSatisfiable_union_distinctConstantsTheory_of_card_le", "FirstOrder.Language.Theory.isSatisfiable_union_distinctConstantsTheory_of_infinite", "FirstOrder.Language.Theory.model_iff", "FirstOrder.Language.Theory.model_singleton_iff", "FirstOrder.Language.Theory.models_formula_iff", "FirstOrder.Language.Theory.models_iff_finset_models", "FirstOrder.Language.Theory.models_iff_not_satisfiable", "FirstOrder.Language.Theory.models_sentence_iff", "FirstOrder.Language.Theory.models_sentence_of_mem", "FirstOrder.Language.Theory.realize_sentence_of_mem", "FirstOrder.Language.Theory.simpleGraph_isSatisfiable", "FirstOrder.Language.Ultraproduct.boundedFormula_realize_cast", "FirstOrder.Language.Ultraproduct.funMap_cast", "FirstOrder.Language.Ultraproduct.realize_formula_cast", "FirstOrder.Language.Ultraproduct.sentence_realize", "FirstOrder.Language.Ultraproduct.term_realize_cast", "FirstOrder.Language.age.countable_quotient", "FirstOrder.Language.age.jointEmbedding", "FirstOrder.Language.age.nonempty", "FirstOrder.Language.age_directLimit", "FirstOrder.Language.card_constantsOn", "FirstOrder.Language.card_functions_sum", "FirstOrder.Language.card_functions_sum_skolem\u2081", "FirstOrder.Language.card_functions_sum_skolem\u2081_le", "FirstOrder.Language.card_mk\u2082", "FirstOrder.Language.card_sum", "FirstOrder.Language.card_withConstants", "FirstOrder.Language.completeTheory.isMaximal", "FirstOrder.Language.completeTheory.isSatisfiable", "FirstOrder.Language.completeTheory.mem_or_not_mem", "FirstOrder.Language.constantsOnMap_isExpansionOn", "FirstOrder.Language.constants_mk\u2082", "FirstOrder.Language.directed_distinctConstantsTheory", "FirstOrder.Language.distinctConstantsTheory_eq_iUnion", "FirstOrder.Language.distinctConstantsTheory_mono", "FirstOrder.Language.elementarilyEquivalent_iff", "FirstOrder.Language.empty.nonempty_embedding_iff", "FirstOrder.Language.empty_card", "FirstOrder.Language.exists_cg_is_age_of", "FirstOrder.Language.exists_countable_is_age_of_iff", "FirstOrder.Language.exists_elementarilyEquivalent_card_eq", "FirstOrder.Language.exists_elementaryEmbedding_card_eq", "FirstOrder.Language.exists_elementaryEmbedding_card_eq_of_ge", "FirstOrder.Language.exists_elementaryEmbedding_card_eq_of_le", "FirstOrder.Language.exists_elementarySubstructure_card_eq", "FirstOrder.Language.funMap_eq_coe_constants", "FirstOrder.Language.funMap_quotient_mk'", "FirstOrder.Language.funMap_sum_inl", "FirstOrder.Language.funMap_sum_inr", "FirstOrder.Language.model_distinctConstantsTheory", "FirstOrder.Language.model_infiniteTheory_iff", "FirstOrder.Language.model_nonemptyTheory_iff", "FirstOrder.Language.monotone_distinctConstantsTheory", "FirstOrder.Language.orderLHom_leSymb", "FirstOrder.Language.orderLHom_order", "FirstOrder.Language.orderedStructure_iff", "FirstOrder.Language.realize_denselyOrdered", "FirstOrder.Language.realize_denselyOrdered_iff", "FirstOrder.Language.realize_iff_of_model_completeTheory", "FirstOrder.Language.realize_noBotOrder", "FirstOrder.Language.realize_noBotOrder_iff", "FirstOrder.Language.realize_noTopOrder", "FirstOrder.Language.realize_noTopOrder_iff", "FirstOrder.Language.realize_term_substructure", "FirstOrder.Language.relMap_quotient_mk'", "FirstOrder.Language.relMap_sum_inl", "FirstOrder.Language.relMap_sum_inr", "FirstOrder.Language.structure_simpleGraphOfStructure", "FirstOrder.Language.toEmbedding_embedding_empty", "FirstOrder.Language.toEquiv_equiv_empty", "FirstOrder.Language.withConstants_funMap_sum_inl", "FirstOrder.Language.withConstants_funMap_sum_inr", "FirstOrder.Language.withConstants_relMap_sum_inl", "FirstOrder.Ring.add_def", "FirstOrder.Ring.card_ring", "FirstOrder.Ring.exists_term_realize_eq_freeCommRing", "FirstOrder.Ring.mul_def", "FirstOrder.Ring.neg_def", "FirstOrder.Ring.one_def", "FirstOrder.Ring.realize_add", "FirstOrder.Ring.realize_mul", "FirstOrder.Ring.realize_neg", "FirstOrder.Ring.realize_one", "FirstOrder.Ring.realize_termOfFreeCommRing", "FirstOrder.Ring.realize_zero", "FirstOrder.Ring.zero_def", "FirstOrder.Sequence\u2082.lift_mk", "FirstOrder.Sequence\u2082.sum_card", "FixedPoints.addSubgroup_toAddSubmonoid", "FixedPoints.coe_algebraMap", "FixedPoints.finrank_le_card", "FixedPoints.isIntegral", "FixedPoints.linearIndependent_smul_of_linearIndependent", "FixedPoints.mem_addSubgroup", "FixedPoints.mem_submonoid", "FixedPoints.minpoly.eval\u2082", "FixedPoints.minpoly.eval\u2082'", "FixedPoints.minpoly.irreducible", "FixedPoints.minpoly.irreducible_aux", "FixedPoints.minpoly.monic", "FixedPoints.minpoly.ne_one", "FixedPoints.minpoly.of_eval\u2082", "FixedPoints.minpoly_eq_minpoly", "FixedPoints.rank_le_card", "FixedPoints.smul", "FixedPoints.smul_polynomial", "FixedPoints.subgroup_toSubmonoid", "FixedPoints.toAlgHom_bijective", "Flag.bot_mem", "Flag.chain_le", "Flag.coe_mk", "Flag.ext", "Flag.le_or_le", "Flag.maxChain", "Flag.mem_coe_iff", "Flag.mem_rangeFin", "Flag.mk_coe", "Float.mk_eq", "Float.val_eq", "FloorRing.exists_prime_mul_pow_div_factorial_lt_one", "FloorRing.exists_prime_mul_pow_lt_factorial", "Flow.continuous", "Flow.continuous_toFun", "Flow.ext", "Flow.image_eq_preimage", "Flow.isInvariant_iff_image_eq", "Flow.isInvariant_omegaLimit", "Flow.map_add", "Flow.map_zero", "Flow.map_zero_apply", "Flow.omegaLimit_image_eq", "Flow.omegaLimit_image_subset", "Flow.omegaLimit_omegaLimit", "ForInStep.bindList_cons", "ForInStep.bindList_cons'", "ForInStep.bindList_nil", "ForInStep.bind_bindList_assoc", "ForInStep.bind_done", "ForInStep.bind_yield_bindList", "ForInStep.run_yield", "FormalMultilinearSeries.applyComposition_ones", "FormalMultilinearSeries.applyComposition_single", "FormalMultilinearSeries.applyComposition_update", "FormalMultilinearSeries.apply_eq_prod_smul_coeff", "FormalMultilinearSeries.apply_eq_zero_of_lt_order", "FormalMultilinearSeries.apply_order_ne_zero", "FormalMultilinearSeries.changeOriginSeriesTerm_apply", "FormalMultilinearSeries.changeOriginSeriesTerm_bound", "FormalMultilinearSeries.changeOriginSeriesTerm_changeOriginIndexEquiv_symm", "FormalMultilinearSeries.changeOriginSeries_finite_of_finite", "FormalMultilinearSeries.changeOriginSeries_sum_eq_partialSum_of_finite", "FormalMultilinearSeries.changeOriginSeries_summable_aux\u2081", "FormalMultilinearSeries.changeOriginSeries_summable_aux\u2082", "FormalMultilinearSeries.changeOriginSeries_summable_aux\u2083", "FormalMultilinearSeries.changeOrigin_eval", "FormalMultilinearSeries.changeOrigin_eval_of_finite", "FormalMultilinearSeries.changeOrigin_finite_of_finite", "FormalMultilinearSeries.changeOrigin_radius", "FormalMultilinearSeries.coeff_eq_zero", "FormalMultilinearSeries.coeff_fslope", "FormalMultilinearSeries.coeff_iterate_fslope", "FormalMultilinearSeries.compAlongComposition_apply", "FormalMultilinearSeries.compAlongComposition_bound", "FormalMultilinearSeries.compAlongComposition_nnnorm", "FormalMultilinearSeries.compAlongComposition_norm", "FormalMultilinearSeries.compChangeOfVariables_blocksFun", "FormalMultilinearSeries.compChangeOfVariables_length", "FormalMultilinearSeries.compChangeOfVariables_sum", "FormalMultilinearSeries.compContinuousLinearMap_apply", "FormalMultilinearSeries.compContinuousLinearMap_applyComposition", "FormalMultilinearSeries.compPartialSumTargetSet_image_compPartialSumSource", "FormalMultilinearSeries.compPartialSumTarget_tendsto_atTop", "FormalMultilinearSeries.comp_assoc", "FormalMultilinearSeries.comp_coeff_one", "FormalMultilinearSeries.comp_coeff_zero", "FormalMultilinearSeries.comp_coeff_zero''", "FormalMultilinearSeries.comp_id", "FormalMultilinearSeries.comp_partialSum", "FormalMultilinearSeries.comp_removeZero", "FormalMultilinearSeries.comp_rightInv", "FormalMultilinearSeries.comp_rightInv_aux1", "FormalMultilinearSeries.comp_rightInv_aux2", "FormalMultilinearSeries.comp_summable_nnreal", "FormalMultilinearSeries.constFormalMultilinearSeries_radius", "FormalMultilinearSeries.continuousOn", "FormalMultilinearSeries.continuousOn_of_finite", "FormalMultilinearSeries.derivSeries_apply_diag", "FormalMultilinearSeries.ext_iff", "FormalMultilinearSeries.hasFPowerSeriesOnBall", "FormalMultilinearSeries.hasFPowerSeriesOnBall_changeOrigin", "FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_changeOrigin", "FormalMultilinearSeries.hasFiniteFPowerSeriesOnBall_of_finite", "FormalMultilinearSeries.hasSum_of_finite", "FormalMultilinearSeries.id_apply_one'", "FormalMultilinearSeries.id_comp", "FormalMultilinearSeries.isLittleO_of_lt_radius", "FormalMultilinearSeries.isLittleO_one_of_lt_radius", "FormalMultilinearSeries.le_comp_radius_of_summable", "FormalMultilinearSeries.le_mul_pow_of_radius_pos", "FormalMultilinearSeries.le_radius_of_bound", "FormalMultilinearSeries.le_radius_of_bound_nnreal", "FormalMultilinearSeries.le_radius_of_eventually_le", "FormalMultilinearSeries.le_radius_of_isBigO", "FormalMultilinearSeries.le_radius_of_summable", "FormalMultilinearSeries.le_radius_of_summable_nnnorm", "FormalMultilinearSeries.le_radius_of_summable_norm", "FormalMultilinearSeries.le_radius_of_tendsto", "FormalMultilinearSeries.leftInv_coeff_one", "FormalMultilinearSeries.leftInv_coeff_zero", "FormalMultilinearSeries.leftInv_comp", "FormalMultilinearSeries.leftInv_eq_rightInv", "FormalMultilinearSeries.leftInv_eq_rightInv_aux", "FormalMultilinearSeries.leftInv_removeZero", "FormalMultilinearSeries.lt_radius_of_isBigO", "FormalMultilinearSeries.mem_compPartialSumSource_iff", "FormalMultilinearSeries.mem_compPartialSumTarget_iff", "FormalMultilinearSeries.min_radius_le_radius_add", "FormalMultilinearSeries.mkPiRing_coeff_eq", "FormalMultilinearSeries.ne_iff", "FormalMultilinearSeries.ne_zero_of_order_ne_zero", "FormalMultilinearSeries.neg_apply", "FormalMultilinearSeries.nnnorm_changeOriginSeriesTerm_apply_le", "FormalMultilinearSeries.nnnorm_changeOriginSeries_apply_le_tsum", "FormalMultilinearSeries.nnnorm_changeOriginSeries_le_tsum", "FormalMultilinearSeries.nnnorm_changeOrigin_le", "FormalMultilinearSeries.nnnorm_mul_pow_le_of_lt_radius", "FormalMultilinearSeries.norm_apply_eq_norm_coef", "FormalMultilinearSeries.norm_le_div_pow_of_pos_of_lt_radius", "FormalMultilinearSeries.norm_mul_pow_le_mul_pow_of_lt_radius", "FormalMultilinearSeries.norm_mul_pow_le_of_lt_radius", "FormalMultilinearSeries.not_summable_norm_of_radius_lt_nnnorm", "FormalMultilinearSeries.order_eq_find'", "FormalMultilinearSeries.order_eq_zero_iff", "FormalMultilinearSeries.order_eq_zero_iff'", "FormalMultilinearSeries.order_zero", "FormalMultilinearSeries.partialSum_continuous", "FormalMultilinearSeries.radius_eq_liminf", "FormalMultilinearSeries.radius_eq_top_iff_summable_norm", "FormalMultilinearSeries.radius_eq_top_of_forall_image_add_eq_zero", "FormalMultilinearSeries.radius_eq_top_of_forall_nnreal_isBigO", "FormalMultilinearSeries.radius_eq_top_of_summable_norm", "FormalMultilinearSeries.radius_le_radius_continuousLinearMap_comp", "FormalMultilinearSeries.radius_neg", "FormalMultilinearSeries.radius_prod_eq_min", "FormalMultilinearSeries.radius_rightInv_pos_of_radius_pos", "FormalMultilinearSeries.radius_rightInv_pos_of_radius_pos_aux2", "FormalMultilinearSeries.radius_right_inv_pos_of_radius_pos_aux1", "FormalMultilinearSeries.removeZero_applyComposition", "FormalMultilinearSeries.removeZero_coeff_succ", "FormalMultilinearSeries.removeZero_coeff_zero", "FormalMultilinearSeries.removeZero_comp_of_pos", "FormalMultilinearSeries.removeZero_of_pos", "FormalMultilinearSeries.rightInv_coeff", "FormalMultilinearSeries.rightInv_coeff_one", "FormalMultilinearSeries.rightInv_coeff_zero", "FormalMultilinearSeries.rightInv_removeZero", "FormalMultilinearSeries.sum_of_finite", "FormalMultilinearSeries.summable", "FormalMultilinearSeries.summable_nnnorm_mul_pow", "FormalMultilinearSeries.summable_norm_apply", "FormalMultilinearSeries.summable_norm_mul_pow", "FormalMultilinearSeries.zero_apply", "Fourier.fourierIntegral_comp_add_right", "Fourier.fourierIntegral_smul_const", "Fourier.norm_fourierIntegral_le_integral_norm", "FractionRing.mk_eq_div", "FractionalIdeal.absNorm_div_norm_eq_absNorm_div_norm", "FractionalIdeal.absNorm_eq", "FractionalIdeal.absNorm_eq'", "FractionalIdeal.absNorm_eq_zero_iff", "FractionalIdeal.absNorm_one", "FractionalIdeal.absNorm_span_singleton", "FractionalIdeal.abs_det_basis_change", "FractionalIdeal.add_le_add_left", "FractionalIdeal.adjoinIntegral_eq_one_of_isUnit", "FractionalIdeal.bot_eq_zero", "FractionalIdeal.bot_lt_mul_inv", "FractionalIdeal.canonicalEquiv_canonicalEquiv", "FractionalIdeal.canonicalEquiv_coeIdeal", "FractionalIdeal.canonicalEquiv_flip", "FractionalIdeal.canonicalEquiv_mk0", "FractionalIdeal.canonicalEquiv_self", "FractionalIdeal.canonicalEquiv_spanSingleton", "FractionalIdeal.canonicalEquiv_symm", "FractionalIdeal.canonicalEquiv_trans_canonicalEquiv", "FractionalIdeal.coeFun_mapEquiv", "FractionalIdeal.coeIdeal_absNorm", "FractionalIdeal.coeIdeal_eq_one", "FractionalIdeal.coeIdeal_eq_zero", "FractionalIdeal.coeIdeal_eq_zero'", "FractionalIdeal.coeIdeal_fg", "FractionalIdeal.coeIdeal_inj", "FractionalIdeal.coeIdeal_inj'", "FractionalIdeal.coeIdeal_injective", "FractionalIdeal.coeIdeal_injective'", "FractionalIdeal.coeIdeal_le_coeIdeal", "FractionalIdeal.coeIdeal_le_coeIdeal'", "FractionalIdeal.coeIdeal_le_one", "FractionalIdeal.coeIdeal_mul", "FractionalIdeal.coeIdeal_ne_one", "FractionalIdeal.coeIdeal_ne_zero", "FractionalIdeal.coeIdeal_span_singleton", "FractionalIdeal.coeIdeal_sup", "FractionalIdeal.coeToSubmodule_eq_bot", "FractionalIdeal.coeToSubmodule_inj", "FractionalIdeal.coeToSubmodule_injective", "FractionalIdeal.coeToSubmodule_ne_bot", "FractionalIdeal.coe_add", "FractionalIdeal.coe_coeIdeal", "FractionalIdeal.coe_copy", "FractionalIdeal.coe_div", "FractionalIdeal.coe_dual", "FractionalIdeal.coe_dual_one", "FractionalIdeal.coe_ideal_le_self_mul_inv", "FractionalIdeal.coe_ideal_mul_inv", "FractionalIdeal.coe_ideal_span_singleton_div_self", "FractionalIdeal.coe_ideal_span_singleton_inv_mul", "FractionalIdeal.coe_ideal_span_singleton_mul_inv", "FractionalIdeal.coe_inv_of_nonzero", "FractionalIdeal.coe_le_coe", "FractionalIdeal.coe_map", "FractionalIdeal.coe_mem_one", "FractionalIdeal.coe_mk", "FractionalIdeal.coe_mul", "FractionalIdeal.coe_natCast", "FractionalIdeal.coe_nsmul", "FractionalIdeal.coe_one", "FractionalIdeal.coe_pow", "FractionalIdeal.coe_spanSingleton", "FractionalIdeal.coe_sup", "FractionalIdeal.coe_zero", "FractionalIdeal.constant_factor_ne_zero", "FractionalIdeal.count_coe", "FractionalIdeal.count_coe_nonneg", "FractionalIdeal.count_finprod", "FractionalIdeal.count_finprod_coprime", "FractionalIdeal.count_finsupp_prod", "FractionalIdeal.count_inv", "FractionalIdeal.count_maximal", "FractionalIdeal.count_maximal_coprime", "FractionalIdeal.count_mono", "FractionalIdeal.count_mul", "FractionalIdeal.count_mul'", "FractionalIdeal.count_ne_zero", "FractionalIdeal.count_neg_zpow", "FractionalIdeal.count_one", "FractionalIdeal.count_pow", "FractionalIdeal.count_pow_self", "FractionalIdeal.count_prod", "FractionalIdeal.count_self", "FractionalIdeal.count_well_defined", "FractionalIdeal.count_zero", "FractionalIdeal.count_zpow", "FractionalIdeal.count_zpow_self", "FractionalIdeal.den_mem_inv", "FractionalIdeal.den_mul_self_eq_num", "FractionalIdeal.den_mul_self_eq_num'", "FractionalIdeal.div_eq_mul_inv", "FractionalIdeal.div_nonzero", "FractionalIdeal.div_one", "FractionalIdeal.div_spanSingleton", "FractionalIdeal.div_zero", "FractionalIdeal.dual_div_dual", "FractionalIdeal.dual_dual", "FractionalIdeal.dual_eq_mul_inv", "FractionalIdeal.dual_injective", "FractionalIdeal.dual_inv", "FractionalIdeal.dual_inv_le", "FractionalIdeal.dual_le_dual", "FractionalIdeal.dual_mul_self", "FractionalIdeal.dual_ne_zero", "FractionalIdeal.dual_ne_zero_iff", "FractionalIdeal.dual_zero", "FractionalIdeal.eq_one_div_of_mul_eq_one_right", "FractionalIdeal.eq_spanSingleton_mul", "FractionalIdeal.eq_spanSingleton_of_principal", "FractionalIdeal.eq_zero_or_one", "FractionalIdeal.eq_zero_or_one_of_isField", "FractionalIdeal.equivNum_apply", "FractionalIdeal.exists_eq_spanSingleton_mul", "FractionalIdeal.exists_mem_algebraMap_eq", "FractionalIdeal.exists_ne_zero_mem_isInteger", "FractionalIdeal.exists_not_mem_one_of_ne_bot", "FractionalIdeal.ext", "FractionalIdeal.fg_of_isNoetherianRing", "FractionalIdeal.fg_of_isUnit", "FractionalIdeal.fg_unit", "FractionalIdeal.finite_factors", "FractionalIdeal.finite_factors'", "FractionalIdeal.finprod_heightOneSpectrum_factorization", "FractionalIdeal.finprod_heightOneSpectrum_factorization'", "FractionalIdeal.finprod_heightOneSpectrum_factorization_principal", "FractionalIdeal.finprod_heightOneSpectrum_factorization_principal_fraction", "FractionalIdeal.fractional_div_of_nonzero", "FractionalIdeal.ideal_factor_ne_zero", "FractionalIdeal.inv_anti_mono", "FractionalIdeal.inv_eq", "FractionalIdeal.inv_le_comm", "FractionalIdeal.inv_le_dual", "FractionalIdeal.inv_nonzero", "FractionalIdeal.inv_zero'", "FractionalIdeal.invertible_iff_generator_nonzero", "FractionalIdeal.invertible_of_principal", "FractionalIdeal.isFractional", "FractionalIdeal.isFractional_of_fg", "FractionalIdeal.isFractional_of_le", "FractionalIdeal.isFractional_of_le_one", "FractionalIdeal.isFractional_span_iff", "FractionalIdeal.isFractional_span_singleton", "FractionalIdeal.isNoetherian", "FractionalIdeal.isNoetherian_coeIdeal", "FractionalIdeal.isNoetherian_iff", "FractionalIdeal.isNoetherian_spanSingleton_inv_to_map_mul", "FractionalIdeal.isNoetherian_zero", "FractionalIdeal.isPrincipal.of_finite_maximals_of_inv", "FractionalIdeal.isPrincipal_inv", "FractionalIdeal.isPrincipal_of_unit_of_comap_mul_span_singleton_eq_top", "FractionalIdeal.le_div_iff_mul_le", "FractionalIdeal.le_div_iff_of_nonzero", "FractionalIdeal.le_dual_iff", "FractionalIdeal.le_dual_inv_aux", "FractionalIdeal.le_inv_comm", "FractionalIdeal.le_one_iff_exists_coeIdeal", "FractionalIdeal.le_self_mul_one_div", "FractionalIdeal.le_self_mul_self", "FractionalIdeal.le_spanSingleton_mul_iff", "FractionalIdeal.le_zero_iff", "FractionalIdeal.mapEquiv_apply", "FractionalIdeal.mapEquiv_symm", "FractionalIdeal.map_canonicalEquiv_mk0", "FractionalIdeal.map_coeIdeal", "FractionalIdeal.map_div", "FractionalIdeal.map_eq_zero_iff", "FractionalIdeal.map_inv", "FractionalIdeal.map_mem_map", "FractionalIdeal.map_mul", "FractionalIdeal.map_ne_zero", "FractionalIdeal.map_one", "FractionalIdeal.map_one_div", "FractionalIdeal.map_symm_map", "FractionalIdeal.map_zero", "FractionalIdeal.mem_adjoinIntegral_self", "FractionalIdeal.mem_canonicalEquiv_apply", "FractionalIdeal.mem_coe", "FractionalIdeal.mem_coeIdeal", "FractionalIdeal.mem_coeIdeal_of_mem", "FractionalIdeal.mem_div_iff_of_nonzero", "FractionalIdeal.mem_dual", "FractionalIdeal.mem_inv_iff", "FractionalIdeal.mem_map", "FractionalIdeal.mem_one_iff", "FractionalIdeal.mem_singleton_mul", "FractionalIdeal.mem_spanSingleton", "FractionalIdeal.mem_spanSingleton_self", "FractionalIdeal.mem_span_mul_finite_of_mem_mul", "FractionalIdeal.mem_zero_iff", "FractionalIdeal.mk'_mul_coeIdeal_eq_coeIdeal", "FractionalIdeal.mul_def", "FractionalIdeal.mul_eq_mul", "FractionalIdeal.mul_generator_self_inv", "FractionalIdeal.mul_induction_on", "FractionalIdeal.mul_inv_cancel", "FractionalIdeal.mul_inv_cancel_iff_isUnit", "FractionalIdeal.mul_inv_cancel_of_le_one", "FractionalIdeal.mul_le", "FractionalIdeal.mul_le_mul_left", "FractionalIdeal.mul_left_le_iff", "FractionalIdeal.mul_left_mono", "FractionalIdeal.mul_mem_mul", "FractionalIdeal.mul_one_div_le_one", "FractionalIdeal.mul_right_le_iff", "FractionalIdeal.mul_right_mono", "FractionalIdeal.mul_right_strictMono", "FractionalIdeal.mul_self_le_self", "FractionalIdeal.ne_zero_of_mul_eq_one", "FractionalIdeal.not_inv_le_one_of_ne_bot", "FractionalIdeal.num_eq_zero_iff", "FractionalIdeal.num_le", "FractionalIdeal.num_le_mul_inv", "FractionalIdeal.num_zero_eq", "FractionalIdeal.one_div_spanSingleton", "FractionalIdeal.one_le", "FractionalIdeal.one_le_dual_one", "FractionalIdeal.right_inverse_eq", "FractionalIdeal.self_mul_dual", "FractionalIdeal.spanFinset_coe", "FractionalIdeal.spanFinset_eq_zero", "FractionalIdeal.spanFinset_ne_zero", "FractionalIdeal.spanSingleton_div_self", "FractionalIdeal.spanSingleton_div_spanSingleton", "FractionalIdeal.spanSingleton_eq_spanSingleton", "FractionalIdeal.spanSingleton_eq_zero_iff", "FractionalIdeal.spanSingleton_inv", "FractionalIdeal.spanSingleton_inv_mul", "FractionalIdeal.spanSingleton_le_iff_mem", "FractionalIdeal.spanSingleton_mul_coeIdeal_eq_coeIdeal", "FractionalIdeal.spanSingleton_mul_inv", "FractionalIdeal.spanSingleton_mul_le_iff", "FractionalIdeal.spanSingleton_mul_spanSingleton", "FractionalIdeal.spanSingleton_ne_zero_iff", "FractionalIdeal.spanSingleton_one", "FractionalIdeal.spanSingleton_pow", "FractionalIdeal.spanSingleton_zero", "FractionalIdeal.sup_eq_add", "FractionalIdeal.val_eq_coe", "FractionalIdeal.zero_le", "FractionalIdeal.zero_mem", "FractionalIdeal.zero_of_num_eq_bot", "FrameHom.cancel_left", "FrameHom.cancel_right", "FrameHom.coe_id", "FrameHom.coe_mk", "FrameHom.coe_toLatticeHom", "FrameHom.comp_apply", "FrameHom.comp_assoc", "FrameHom.copy_eq", "FrameHom.id_apply", "FreeAbelianGroup.add_bind", "FreeAbelianGroup.add_seq", "FreeAbelianGroup.induction_on", "FreeAbelianGroup.induction_on'", "FreeAbelianGroup.lift.add'", "FreeAbelianGroup.lift.ext", "FreeAbelianGroup.lift.map_hom", "FreeAbelianGroup.lift.of", "FreeAbelianGroup.lift.unique", "FreeAbelianGroup.liftMonoid_coe_addMonoidHom", "FreeAbelianGroup.lift_comp", "FreeAbelianGroup.map_comp", "FreeAbelianGroup.map_comp_apply", "FreeAbelianGroup.map_id", "FreeAbelianGroup.map_id_apply", "FreeAbelianGroup.map_neg", "FreeAbelianGroup.map_of", "FreeAbelianGroup.map_sub", "FreeAbelianGroup.map_zero", "FreeAbelianGroup.mem_support_iff", "FreeAbelianGroup.mul_def", "FreeAbelianGroup.not_mem_support_iff", "FreeAbelianGroup.of_injective", "FreeAbelianGroup.of_mul_of", "FreeAbelianGroup.of_one", "FreeAbelianGroup.one_def", "FreeAbelianGroup.pure_bind", "FreeAbelianGroup.pure_seq", "FreeAbelianGroup.seq_neg", "FreeAbelianGroup.seq_sub", "FreeAbelianGroup.seq_zero", "FreeAbelianGroup.sub_bind", "FreeAbelianGroup.sub_seq", "FreeAbelianGroup.support_add", "FreeAbelianGroup.support_neg", "FreeAbelianGroup.support_nsmul", "FreeAbelianGroup.support_of", "FreeAbelianGroup.support_zero", "FreeAbelianGroup.support_zsmul", "FreeAbelianGroup.toFinsupp_comp_toFreeAbelianGroup", "FreeAbelianGroup.toFinsupp_of", "FreeAbelianGroup.toFinsupp_toFreeAbelianGroup", "FreeAbelianGroup.zero_bind", "FreeAddMonoid.countP_apply", "FreeAddMonoid.countP_of", "FreeAddMonoid.count_apply", "FreeAddMonoid.count_of", "FreeAddMonoid.toPiTensorProduct", "FreeAlgebra.adjoin_range_\u03b9", "FreeAlgebra.algebraMap_eq_one_iff", "FreeAlgebra.algebraMap_eq_zero_iff", "FreeAlgebra.hom_ext", "FreeAlgebra.induction", "FreeAlgebra.lift_comp_\u03b9", "FreeAlgebra.lift_symm_apply", "FreeAlgebra.lift_unique", "FreeAlgebra.lift_\u03b9_apply", "FreeAlgebra.mk_mul", "FreeAlgebra.quot_mk_eq_\u03b9", "FreeAlgebra.rank_eq", "FreeAlgebra.star_algebraMap", "FreeAlgebra.star_\u03b9", "FreeAlgebra.toTensor_\u03b9", "FreeAlgebra.\u03b9_comp_lift", "FreeAlgebra.\u03b9_inj", "FreeAlgebra.\u03b9_injective", "FreeAlgebra.\u03b9_ne_algebraMap", "FreeAlgebra.\u03b9_ne_one", "FreeAlgebra.\u03b9_ne_zero", "FreeCommRing.exists_finite_support", "FreeCommRing.exists_finset_support", "FreeCommRing.isSupported_add", "FreeCommRing.isSupported_int", "FreeCommRing.isSupported_mul", "FreeCommRing.isSupported_neg", "FreeCommRing.isSupported_of", "FreeCommRing.isSupported_upwards", "FreeCommRing.lift_comp_of", "FreeCommRing.lift_of", "FreeCommRing.map_of", "FreeCommRing.map_subtype_val_restriction", "FreeCommRing.of_cons", "FreeCommRing.of_injective", "FreeCommRing.restriction_of", "FreeGroup.Red.Step.append_left", "FreeGroup.Red.Step.append_right", "FreeGroup.Red.Step.cons", "FreeGroup.Red.Step.cons_cons_iff", "FreeGroup.Red.Step.cons_left_iff", "FreeGroup.Red.Step.cons_not", "FreeGroup.Red.Step.diamond", "FreeGroup.Red.Step.diamond_aux", "FreeGroup.Red.Step.invRev", "FreeGroup.Red.Step.length", "FreeGroup.Red.Step.lift", "FreeGroup.Red.Step.not_rev", "FreeGroup.Red.append_append", "FreeGroup.Red.append_append_left_iff", "FreeGroup.Red.church_rosser", "FreeGroup.Red.cons_cons", "FreeGroup.Red.cons_cons_iff", "FreeGroup.Red.cons_nil_iff_singleton", "FreeGroup.Red.enum.complete", "FreeGroup.Red.enum.sound", "FreeGroup.Red.exact", "FreeGroup.Red.inv_of_red_of_ne", "FreeGroup.Red.length", "FreeGroup.Red.nil_iff", "FreeGroup.Red.not_step_nil", "FreeGroup.Red.red_iff_irreducible", "FreeGroup.Red.reduce_left", "FreeGroup.Red.reduce_right", "FreeGroup.Red.refl", "FreeGroup.Red.sizeof_of_step", "FreeGroup.Red.step_invRev_iff", "FreeGroup.Red.sublist", "FreeGroup.Red.to_append_iff", "FreeGroup.Red.trans", "FreeGroup.closure_range_of", "FreeGroup.equivalence_join_red", "FreeGroup.ext_hom", "FreeGroup.freeGroupCongr_refl", "FreeGroup.freeGroupCongr_symm", "FreeGroup.induction_on", "FreeGroup.injective_lift_of_ping_pong", "FreeGroup.invRev_empty", "FreeGroup.invRev_invRev", "FreeGroup.invRev_involutive", "FreeGroup.invRev_length", "FreeGroup.invRev_surjective", "FreeGroup.inv_mk", "FreeGroup.join_red_of_step", "FreeGroup.lift.mk", "FreeGroup.lift.of", "FreeGroup.lift.of_eq", "FreeGroup.lift.range_eq_closure", "FreeGroup.lift.range_le", "FreeGroup.lift.unique", "FreeGroup.lift_eq_prod_map", "FreeGroup.map.id", "FreeGroup.map.mk", "FreeGroup.map.of", "FreeGroup.map.unique", "FreeGroup.map_eq_lift", "FreeGroup.map_mul", "FreeGroup.map_one", "FreeGroup.map_pure", "FreeGroup.mk_toWord", "FreeGroup.mul_bind", "FreeGroup.mul_mk", "FreeGroup.norm_eq_zero", "FreeGroup.norm_inv_eq", "FreeGroup.norm_mk_le", "FreeGroup.norm_mul_le", "FreeGroup.of_injective", "FreeGroup.one_bind", "FreeGroup.one_eq_mk", "FreeGroup.prod.unique", "FreeGroup.quot_liftOn_mk", "FreeGroup.quot_lift_mk", "FreeGroup.quot_mk_eq_mk", "FreeGroup.red_invRev_iff", "FreeGroup.reduce.cons", "FreeGroup.reduce.exact", "FreeGroup.reduce.idem", "FreeGroup.reduce.min", "FreeGroup.reduce.not", "FreeGroup.reduce.red", "FreeGroup.reduce.sound", "FreeGroup.reduce_invRev", "FreeGroup.reduce_toWord", "FreeGroup.sum.map_inv", "FreeGroup.sum.map_mul", "FreeGroup.sum.of", "FreeGroup.sum_mk", "FreeGroup.toWord_eq_nil_iff", "FreeGroup.toWord_inj", "FreeGroup.toWord_injective", "FreeGroup.toWord_inv", "FreeGroup.toWord_mk", "FreeGroup.toWord_one", "FreeGroupBasis.injective", "FreeGroupBasis.map_apply", "FreeGroupBasis.ofFreeGroup_apply", "FreeGroupBasis.repr_apply_coe", "FreeLieAlgebra.Rel.addLeft", "FreeLieAlgebra.Rel.neg", "FreeLieAlgebra.Rel.subLeft", "FreeLieAlgebra.Rel.subRight", "FreeLieAlgebra.liftAux_map_add", "FreeLieAlgebra.liftAux_map_mul", "FreeLieAlgebra.liftAux_map_smul", "FreeLieAlgebra.liftAux_spec", "FreeLieAlgebra.lift_comp_of", "FreeLieAlgebra.lift_of_apply", "FreeLieAlgebra.lift_symm_apply", "FreeLieAlgebra.of_comp_lift", "FreeMagma.hom_ext", "FreeMagma.length_pos", "FreeMagma.length_toFreeSemigroup", "FreeMagma.lift_comp_of'", "FreeMagma.map_mul'", "FreeMagma.map_of", "FreeMagma.mul_map_seq", "FreeMagma.mul_seq", "FreeMagma.pure_seq", "FreeMagma.toFreeSemigroup_comp_map", "FreeMagma.toFreeSemigroup_comp_of", "FreeMagma.toFreeSemigroup_map", "FreeMagma.toFreeSemigroup_of", "FreeMagma.traverse_eq", "FreeMagma.traverse_mul", "FreeMagma.traverse_mul'", "FreeMagma.traverse_pure", "FreeMagma.traverse_pure'", "FreeMonoid.casesOn_of_mul", "FreeMonoid.casesOn_one", "FreeMonoid.closure_range_of", "FreeMonoid.comp_lift", "FreeMonoid.countP_apply", "FreeMonoid.countP_of'", "FreeMonoid.count_apply", "FreeMonoid.count_of", "FreeMonoid.hom_eq", "FreeMonoid.hom_map_lift", "FreeMonoid.lift_apply", "FreeMonoid.lift_eval_of", "FreeMonoid.lift_ofList", "FreeMonoid.lift_of_comp_eq_map", "FreeMonoid.map_comp", "FreeMonoid.map_id", "FreeMonoid.map_of", "FreeMonoid.mrange_lift", "FreeMonoid.ofList_comp_toList", "FreeMonoid.ofList_join", "FreeMonoid.ofList_map", "FreeMonoid.ofList_nil", "FreeMonoid.ofList_smul", "FreeMonoid.ofList_symm", "FreeMonoid.ofList_toList", "FreeMonoid.of_injective", "FreeMonoid.of_smul", "FreeMonoid.prodAux_eq", "FreeMonoid.recOn_one", "FreeMonoid.star_one", "FreeMonoid.toList_map", "FreeMonoid.toList_mul", "FreeMonoid.toList_of", "FreeMonoid.toList_one", "FreeMonoid.toList_prod", "FreeNonUnitalNonAssocAlgebra.hom_ext", "FreeNonUnitalNonAssocAlgebra.lift_symm_apply", "FreeNonUnitalNonAssocAlgebra.lift_unique", "FreeNonUnitalNonAssocAlgebra.of_comp_lift", "FreeRing.coe_add", "FreeRing.coe_eq", "FreeRing.coe_neg", "FreeRing.coe_sub", "FreeRing.coe_surjective", "FreeRing.hom_ext", "FreeRing.lift_comp_of", "FreeRing.lift_of", "FreeRing.map_of", "FreeRing.of_injective", "FreeSemigroup.head_mul", "FreeSemigroup.hom_ext", "FreeSemigroup.length_map", "FreeSemigroup.length_mul", "FreeSemigroup.length_of", "FreeSemigroup.lift_of", "FreeSemigroup.map_mul'", "FreeSemigroup.map_of", "FreeSemigroup.mk_mul_mk", "FreeSemigroup.mul_bind", "FreeSemigroup.mul_map_seq", "FreeSemigroup.pure_bind", "FreeSemigroup.tail_mul", "FreeSemigroup.traverse_mul", "FreeSemigroup.traverse_mul'", "FunLike.finite", "Function.Antiperiodic.add", "Function.Antiperiodic.add_const", "Function.Antiperiodic.add_int_mul_eq", "Function.Antiperiodic.add_nat_mul_eq", "Function.Antiperiodic.add_nsmul_eq", "Function.Antiperiodic.add_zsmul_eq", "Function.Antiperiodic.const_add", "Function.Antiperiodic.const_inv_smul", "Function.Antiperiodic.const_inv_smul\u2080", "Function.Antiperiodic.const_smul", "Function.Antiperiodic.const_smul\u2080", "Function.Antiperiodic.div", "Function.Antiperiodic.div_inv", "Function.Antiperiodic.eq", "Function.Antiperiodic.even_nsmul_periodic", "Function.Antiperiodic.even_zsmul_periodic", "Function.Antiperiodic.funext", "Function.Antiperiodic.int_even_mul_periodic", "Function.Antiperiodic.int_mul_eq_of_eq_zero", "Function.Antiperiodic.int_mul_sub_eq", "Function.Antiperiodic.int_odd_mul_antiperiodic", "Function.Antiperiodic.mul_const", "Function.Antiperiodic.mul_const'", "Function.Antiperiodic.mul_const_inv", "Function.Antiperiodic.nat_mul_eq_of_eq_zero", "Function.Antiperiodic.nat_mul_sub_eq", "Function.Antiperiodic.nat_odd_mul_antiperiodic", "Function.Antiperiodic.neg", "Function.Antiperiodic.neg_eq", "Function.Antiperiodic.nsmul_sub_eq", "Function.Antiperiodic.odd_nsmul_antiperiodic", "Function.Antiperiodic.odd_zsmul_antiperiodic", "Function.Antiperiodic.periodic", "Function.Antiperiodic.periodic_two_mul", "Function.Antiperiodic.sub", "Function.Antiperiodic.sub_const", "Function.Antiperiodic.sub_eq", "Function.Antiperiodic.sub_eq'", "Function.Antiperiodic.sub_int_mul_eq", "Function.Antiperiodic.sub_nat_mul_eq", "Function.Antiperiodic.sub_nsmul_eq", "Function.Antiperiodic.sub_zsmul_eq", "Function.Antiperiodic.zsmul_sub_eq", "Function.Bijective.cauchySeq_comp_iff", "Function.Bijective.comp", "Function.Bijective.comp_left", "Function.Bijective.comp_right", "Function.Bijective.existsUnique", "Function.Bijective.existsUnique_iff", "Function.Bijective.finite_iff", "Function.Bijective.injective", "Function.Bijective.iterate", "Function.Bijective.of_comp_iff", "Function.Bijective.of_comp_iff'", "Function.Bijective.pairwise_comp_iff", "Function.Bijective.prodMap", "Function.Bijective.prod_comp", "Function.Bijective.surjective", "Function.Commute.comp_iterate", "Function.Commute.comp_left", "Function.Commute.comp_right", "Function.Commute.filter_comap", "Function.Commute.finset_map", "Function.Commute.id_right", "Function.Commute.invOn_fixedPoints_comp", "Function.Commute.iterate_eq_of_map_eq", "Function.Commute.iterate_iterate_self", "Function.Commute.iterate_le_of_map_le", "Function.Commute.iterate_left", "Function.Commute.iterate_pos_eq_iff_map_eq", "Function.Commute.iterate_pos_le_iff_map_le", "Function.Commute.iterate_pos_le_iff_map_le'", "Function.Commute.iterate_pos_lt_iff_map_lt", "Function.Commute.iterate_pos_lt_iff_map_lt'", "Function.Commute.iterate_pos_lt_of_map_lt", "Function.Commute.iterate_pos_lt_of_map_lt'", "Function.Commute.iterate_right", "Function.Commute.iterate_self", "Function.Commute.left_bijOn_fixedPoints_comp", "Function.Commute.minimalPeriod_of_comp_dvd_lcm", "Function.Commute.minimalPeriod_of_comp_dvd_mul", "Function.Commute.minimalPeriod_of_comp_eq_mul_of_coprime", "Function.Commute.refl", "Function.Commute.self_iterate", "Function.Commute.semiconj", "Function.Commute.set_image", "Function.Commute.symm", "Function.Embedding.antisymm", "Function.Embedding.cardinal_le", "Function.Embedding.coeFn_mk", "Function.Embedding.coe_injective", "Function.Embedding.coe_prodMap", "Function.Embedding.coe_quotientOut", "Function.Embedding.coe_subtype", "Function.Embedding.coe_sumMap", "Function.Embedding.countable", "Function.Embedding.enccard_le", "Function.Embedding.equiv_symm_toEmbedding_trans_toEmbedding", "Function.Embedding.equiv_toEmbedding_trans_symm_toEmbedding", "Function.Embedding.exists_of_card_le_finset", "Function.Embedding.ext_iff", "Function.Embedding.injective", "Function.Embedding.invFun_restrict", "Function.Embedding.isEmpty_of_card_lt", "Function.Embedding.left_inv_of_invOfMemRange", "Function.Embedding.min_injective", "Function.Embedding.mk_coe", "Function.Embedding.nonempty_iff_card_le", "Function.Embedding.right_inv_of_invOfMemRange", "Function.Embedding.schroeder_bernstein", "Function.Embedding.setValue_eq_iff", "Function.Embedding.smul_apply", "Function.Embedding.smul_def", "Function.Embedding.swap_apply", "Function.Embedding.swap_comp", "Function.Embedding.toEquivRange_apply", "Function.Embedding.toEquivRange_eq_ofInjective", "Function.Embedding.toEquivRange_symm_apply_self", "Function.Embedding.total", "Function.Embedding.uncountable", "Function.End.one_def", "Function.End.smul_def", "Function.Exact.exact_mapQ_iff", "Function.Exact.linearMap_ker_eq", "Function.Exact.of_comp_eq_zero_of_ker_in_range", "Function.Exact.of_ladder_linearEquiv_of_exact", "Function.Exact.split_tfae", "Function.Exact.split_tfae'", "Function.FactorsThrough.comp_left", "Function.FactorsThrough.comp_right", "Function.FactorsThrough.extend_apply", "Function.FactorsThrough.extend_comp", "Function.FactorsThrough.rfl", "Function.FromTypes.const_succ", "Function.FromTypes.const_succ_apply", "Function.FromTypes.curry_apply_cons", "Function.FromTypes.curry_apply_succ", "Function.FromTypes.curry_two_eq_curry", "Function.FromTypes.curry_uncurry", "Function.FromTypes.fromTypes_fin_const", "Function.FromTypes.uncurry_apply_cons", "Function.FromTypes.uncurry_apply_succ", "Function.FromTypes.uncurry_curry", "Function.FromTypes.uncurry_two_eq_uncurry", "Function.HasLeftInverse.injective", "Function.HasMaxCutProperty.forbids_commutativeFractionalPolymorphism", "Function.HasMaxCutPropertyAt.rows_lt_aux", "Function.HasRightInverse.surjective", "Function.HasTemperateGrowth.const", "Function.HasTemperateGrowth.norm_iteratedFDeriv_le_uniform_aux", "Function.HasTemperateGrowth.of_fderiv", "Function.HasTemperateGrowth.zero", "Function.Injective.IsLocallyInjective", "Function.Injective.beq_eq", "Function.Injective.comap_cofinite_eq", "Function.Injective.comp", "Function.Injective.comp_exact_iff_exact", "Function.Injective.compl_image_eq", "Function.Injective.countable", "Function.Injective.dite", "Function.Injective.embedding_induced", "Function.Injective.encard_image", "Function.Injective.eq_iff", "Function.Injective.eq_iff'", "Function.Injective.extend_apply", "Function.Injective.hasLeftInverse", "Function.Injective.hasProd_iff", "Function.Injective.hasProd_range_iff", "Function.Injective.injOn_range", "Function.Injective.injective_linearMapComp_left", "Function.Injective.invFun_restrict", "Function.Injective.invOfMemRange_surjective", "Function.Injective.isDomain", "Function.Injective.isFixedPt_apply_iff", "Function.Injective.isLeftCancelMulZero", "Function.Injective.isLieAbelian", "Function.Injective.isOfFinOrder_iff", "Function.Injective.isRightCancelMulZero", "Function.Injective.leftDistribClass", "Function.Injective.left_inv_of_invOfMemRange", "Function.Injective.lieAlgebra_isNilpotent", "Function.Injective.lieAlgebra_isSolvable", "Function.Injective.list_map", "Function.Injective.map_atTop_finset_prod_eq", "Function.Injective.map_swap", "Function.Injective.mem_finset_image", "Function.Injective.mem_range_iff_exists_unique", "Function.Injective.mem_set_image", "Function.Injective.monic_map_iff", "Function.Injective.multipliable_iff", "Function.Injective.nat_tendsto_atTop", "Function.Injective.ne", "Function.Injective.ne_iff", "Function.Injective.ne_iff'", "Function.Injective.noZeroDivisors", "Function.Injective.nonempty_apply_iff", "Function.Injective.of_comp_iff", "Function.Injective.of_comp_iff'", "Function.Injective.of_comp_right", "Function.Injective.pprod_map", "Function.Injective.preimage_pullbackDiagonal", "Function.Injective.preimage_surjective", "Function.Injective.prodMap", "Function.Injective.rightDistribClass", "Function.Injective.right_inv_of_invOfMemRange", "Function.Injective.sSameSide_map_iff", "Function.Injective.sameRay_map_iff", "Function.Injective.sbtw_map_iff", "Function.Injective.sigma_map", "Function.Injective.sigma_map_iff", "Function.Injective.smulCommClass", "Function.Injective.subsingleton", "Function.Injective.subsingleton_image_iff", "Function.Injective.surjective_comp_right'", "Function.Injective.swap_apply", "Function.Injective.swap_comp", "Function.Injective.tendsto_cofinite", "Function.Injective.tprod_eq", "Function.Injective.uncountable", "Function.Injective.wOppSide_map_iff", "Function.Injective.wSameSide_map_iff", "Function.Injective.wbtw_map_iff", "Function.Injective2.eq_iff", "Function.Injective2.left'", "Function.Injective2.right", "Function.Injective2.right'", "Function.Injective2.uncurry", "Function.Involutive.bijective", "Function.Involutive.coe_toPerm", "Function.Involutive.eq_iff", "Function.Involutive.exists_mem_and_apply_eq_iff", "Function.Involutive.injective", "Function.Involutive.ite_not", "Function.Involutive.iterate_bit0", "Function.Involutive.iterate_bit1", "Function.Involutive.iterate_eq_id", "Function.Involutive.iterate_eq_self", "Function.Involutive.iterate_even", "Function.Involutive.iterate_odd", "Function.Involutive.iterate_two_mul", "Function.Involutive.leftInverse", "Function.Involutive.list_map", "Function.Involutive.rightInverse", "Function.Involutive.surjective", "Function.Involutive.toPerm_involutive", "Function.Involutive.toPerm_symm", "Function.IsFixedPt.apply", "Function.IsFixedPt.birkhoffAverage_eq", "Function.IsFixedPt.eq", "Function.IsFixedPt.image_iterate", "Function.IsFixedPt.iterate", "Function.IsFixedPt.perm_inv", "Function.IsFixedPt.perm_pow", "Function.IsFixedPt.perm_zpow", "Function.IsPeriodicPt.add", "Function.IsPeriodicPt.apply_iterate", "Function.IsPeriodicPt.comp", "Function.IsPeriodicPt.comp_lcm", "Function.IsPeriodicPt.const_mul", "Function.IsPeriodicPt.eq_of_apply_eq_same", "Function.IsPeriodicPt.eq_zero_of_lt_minimalPeriod", "Function.IsPeriodicPt.gcd", "Function.IsPeriodicPt.iterate", "Function.IsPeriodicPt.iterate_mod_apply", "Function.IsPeriodicPt.left_of_add", "Function.IsPeriodicPt.left_of_comp", "Function.IsPeriodicPt.map", "Function.IsPeriodicPt.minimalPeriod_le", "Function.IsPeriodicPt.minimalPeriod_pos", "Function.IsPeriodicPt.mul_const", "Function.IsPeriodicPt.right_of_add", "Function.IsPeriodicPt.sub", "Function.IsPeriodicPt.trans_dvd", "Function.Iterate.rec_zero", "Function.LeftInverse.cast_eq", "Function.LeftInverse.comp", "Function.LeftInverse.embedding", "Function.LeftInverse.eq_rec_eq", "Function.LeftInverse.eq_rec_on_eq", "Function.LeftInverse.eq_rightInverse", "Function.LeftInverse.filter_comap", "Function.LeftInverse.filter_map", "Function.LeftInverse.id", "Function.LeftInverse.image_image", "Function.LeftInverse.injective", "Function.LeftInverse.isClosed_range", "Function.LeftInverse.iterate", "Function.LeftInverse.leftInvOn", "Function.LeftInverse.list_map", "Function.LeftInverse.map_nhds_eq", "Function.LeftInverse.preimage_preimage", "Function.LeftInverse.prodMap", "Function.LeftInverse.rightInvOn_range", "Function.LeftInverse.rightInverse", "Function.LeftInverse.rightInverse_of_card_le", "Function.LeftInverse.rightInverse_of_surjective", "Function.LeftInverse.surjective", "Function.OfArity.const_succ", "Function.OfArity.const_succ_apply", "Function.OfArity.const_zero", "Function.OfArity.curry_uncurry", "Function.OfArity.uncurry_curry", "Function.OfArity.uncurry_two_eq_uncurry", "Function.Periodic.add_antiperiod", "Function.Periodic.add_antiperiod_eq", "Function.Periodic.add_const", "Function.Periodic.add_period", "Function.Periodic.comp", "Function.Periodic.comp_addHom", "Function.Periodic.const_inv_mul", "Function.Periodic.const_inv_smul", "Function.Periodic.const_inv_smul\u2080", "Function.Periodic.const_smul\u2080", "Function.Periodic.const_sub", "Function.Periodic.div", "Function.Periodic.div_const", "Function.Periodic.eq", "Function.Periodic.exists_mem_Ico", "Function.Periodic.exists_mem_Ico\u2080", "Function.Periodic.funext", "Function.Periodic.image_Icc", "Function.Periodic.image_Ioc", "Function.Periodic.image_uIcc", "Function.Periodic.int_mul", "Function.Periodic.int_mul_eq", "Function.Periodic.integral_le_sSup_add_zsmul_of_pos", "Function.Periodic.intervalIntegral_add_eq", "Function.Periodic.intervalIntegral_add_eq_add", "Function.Periodic.intervalIntegral_add_eq_of_pos", "Function.Periodic.intervalIntegral_add_zsmul_eq", "Function.Periodic.isBounded_of_continuous", "Function.Periodic.lift_coe", "Function.Periodic.map_mod_nat", "Function.Periodic.map_vadd_multiples", "Function.Periodic.mul", "Function.Periodic.mul_const", "Function.Periodic.mul_const'", "Function.Periodic.mul_const_inv", "Function.Periodic.nat_mul", "Function.Periodic.neg", "Function.Periodic.neg_eq", "Function.Periodic.neg_nat_mul", "Function.Periodic.neg_nsmul", "Function.Periodic.not_injective", "Function.Periodic.nsmul", "Function.Periodic.sInf_add_zsmul_le_integral_of_pos", "Function.Periodic.sub_antiperiod", "Function.Periodic.sub_antiperiod_eq", "Function.Periodic.sub_const", "Function.Periodic.sub_eq", "Function.Periodic.sub_eq'", "Function.Periodic.sub_nat_mul_eq", "Function.Periodic.sub_nsmul_eq", "Function.Periodic.sub_period", "Function.Periodic.sub_zsmul_eq", "Function.Periodic.tendsto_atBot_intervalIntegral_of_pos", "Function.Periodic.tendsto_atBot_intervalIntegral_of_pos'", "Function.Periodic.tendsto_atTop_intervalIntegral_of_pos", "Function.Periodic.tendsto_atTop_intervalIntegral_of_pos'", "Function.Periodic.zsmul", "Function.Periodic.zsmul_eq", "Function.Periodic.zsmul_sub_eq", "Function.RightInverse.comp", "Function.RightInverse.comp_eq_id", "Function.RightInverse.filter_comap", "Function.RightInverse.filter_map", "Function.RightInverse.injective", "Function.RightInverse.iterate", "Function.RightInverse.leftInverse", "Function.RightInverse.leftInverse_of_surjective", "Function.RightInverse.list_map", "Function.RightInverse.surjective", "Function.Semiconj.bijOn_image", "Function.Semiconj.bijOn_range", "Function.Semiconj.commute", "Function.Semiconj.comp_left", "Function.Semiconj.comp_right", "Function.Semiconj.filter_map", "Function.Semiconj.id_right", "Function.Semiconj.injOn_image", "Function.Semiconj.injOn_preimage", "Function.Semiconj.injOn_range", "Function.Semiconj.inverses_right", "Function.Semiconj.iterate_left", "Function.Semiconj.iterate_right", "Function.Semiconj.mapsTo_fixedPoints", "Function.Semiconj.mapsTo_periodicPts", "Function.Semiconj.mapsTo_preimage", "Function.Semiconj.mapsTo_range", "Function.Semiconj.option_map", "Function.Semiconj.surjOn_image", "Function.Semiconj.surjOn_range", "Function.Semiconj.symm_adjoint", "Function.Semiconj.trans", "Function.Semiconj\u2082.comp", "Function.Semiconj\u2082.eq", "Function.Semiconj\u2082.id_left", "Function.Semiconj\u2082.isAssociative_right", "Function.Semiconj\u2082.isIdempotent_left", "Function.Semiconj\u2082.isIdempotent_right", "Function.Semiconj\u2082.iterate", "Function.Surjective.comp", "Function.Surjective.comp_exact_iff_exact", "Function.Surjective.countable", "Function.Surjective.denseRange", "Function.Surjective.exists", "Function.Surjective.exists\u2082", "Function.Surjective.filter_map_top", "Function.Surjective.forall\u2083", "Function.Surjective.iInf_congr", "Function.Surjective.iSup_congr", "Function.Surjective.iUnion_comp", "Function.Surjective.image_preimage", "Function.Surjective.isArtinianRing", "Function.Surjective.isBezout", "Function.Surjective.isEmpty", "Function.Surjective.isEngelian", "Function.Surjective.isLieAbelian", "Function.Surjective.iterate", "Function.Surjective.le_map_cofinite", "Function.Surjective.leftDistribClass", "Function.Surjective.lieAlgebra_isNilpotent", "Function.Surjective.lieAlgebra_isSolvable", "Function.Surjective.lieModuleIsNilpotent", "Function.Surjective.lieModule_lcs_map_eq", "Function.Surjective.multipliable_iff_of_hasProd_iff", "Function.Surjective.nonempty", "Function.Surjective.nonempty_preimage", "Function.Surjective.nontrivial", "Function.Surjective.of_comp", "Function.Surjective.of_comp_iff", "Function.Surjective.of_comp_iff'", "Function.Surjective.of_comp_left", "Function.Surjective.pathConnectedSpace", "Function.Surjective.preimage_injective", "Function.Surjective.preimage_subset_preimage_iff", "Function.Surjective.prodMap", "Function.Surjective.range_comp", "Function.Surjective.sigma_map", "Function.Surjective.smulCommClass", "Function.Surjective.subsingleton", "Function.Surjective.sum_map", "Function.Surjective.surjOn", "Function.Surjective.tprod_eq_tprod_of_hasProd_iff_hasProd", "Function.Surjective.uncountable", "Function.Surjective.valuationRing", "Function.Surjective.wellFounded_iff", "Function.antitone_iterate_of_le_id", "Function.apply_extend", "Function.apply_invFun_apply", "Function.apply_update", "Function.apply_update\u2082", "Function.argminOn_le", "Function.argminOn_mem", "Function.argmin_le", "Function.bUnion_ptsOfPeriod", "Function.bijOn_ptsOfPeriod", "Function.bijective_id", "Function.bijective_iff_existsUnique", "Function.bijective_pi_map", "Function.cantor_injective", "Function.cantor_surjective", "Function.comp.assoc", "Function.comp_apply", "Function.comp_const", "Function.comp_def", "Function.comp_eq_const_iff", "Function.comp_eq_one_iff", "Function.comp_id", "Function.comp_iterate_pred_of_pos", "Function.comp_ne_one_iff", "Function.comp_update", "Function.compl_mulSupport", "Function.const_apply", "Function.const_comp", "Function.const_def", "Function.const_div", "Function.const_eq_one", "Function.const_inj", "Function.const_inv", "Function.const_le_const", "Function.const_le_one_of_le_one", "Function.const_lt_one", "Function.const_one", "Function.const_pow", "Function.const_strictMono", "Function.csSup_div_semiconj", "Function.curry_apply", "Function.curry_uncurry", "Function.directed_ptsOfPeriod_pNat", "Function.disjoint_mulSupport_iff", "Function.eq_of_sigmaMk_comp", "Function.eq_update_iff", "Function.eq_update_self_iff", "Function.eval_apply", "Function.exists_update_iff", "Function.ext_iff_mulSupport", "Function.extend_apply'", "Function.extend_comp", "Function.extend_def", "Function.extend_div", "Function.extend_injective", "Function.extend_inv", "Function.extend_le_one", "Function.extend_mul", "Function.extend_one", "Function.extend_smul", "Function.factorsThrough_iff", "Function.fixedPoints_id", "Function.fixedPoints_subset_range", "Function.flip_def", "Function.forall_update_iff", "Function.fromTypes_cons", "Function.fromTypes_nil", "Function.fromTypes_zero", "Function.funext_iff", "Function.funext_iff_of_subsingleton", "Function.graph_comp", "Function.graph_def", "Function.graph_id", "Function.graph_injective", "Function.hfunext", "Function.iUnion_pNat_ptsOfPeriod", "Function.id_comp", "Function.id_def", "Function.id_le_iterate_of_id_le", "Function.injective_id", "Function.injective_iff_hasLeftInverse", "Function.injective_iff_pairwise_ne", "Function.injective_of_isPartialInv_right", "Function.injective_of_subsingleton", "Function.injective_pi_map", "Function.injective_surjInv", "Function.insert_injOn", "Function.invFunOn_apply_eq", "Function.invFunOn_apply_mem", "Function.invFunOn_eq", "Function.invFunOn_image_image_subset", "Function.invFunOn_injOn_image", "Function.invFunOn_mem", "Function.invFunOn_neg", "Function.invFunOn_pos", "Function.invFun_comp", "Function.invFun_eq", "Function.invFun_eq_of_injective_of_rightInverse", "Function.invFun_neg", "Function.invOn_fixedPoints_comp", "Function.involutive_iff_iter_2_eq_id", "Function.isFixedPt_id", "Function.isPeriodicPt_iff_minimalPeriod_dvd", "Function.isPeriodicPt_minimalPeriod", "Function.isPeriodicPt_of_mem_periodicPts_of_isPeriodicPt_iterate", "Function.isPeriodicPt_prod_map", "Function.isPeriodicPt_zero", "Function.iterate_add", "Function.iterate_add_apply", "Function.iterate_add_eq_iterate", "Function.iterate_cancel", "Function.iterate_comm", "Function.iterate_commute", "Function.iterate_eq_iterate_iff_of_lt_minimalPeriod", "Function.iterate_fixed", "Function.iterate_id", "Function.iterate_le_id_of_le_id", "Function.iterate_mem_periodicOrbit", "Function.iterate_mod_minimalPeriod_eq", "Function.iterate_mul", "Function.iterate_one", "Function.iterate_pred_comp_of_pos", "Function.iterate_prod_map", "Function.iterate_succ", "Function.iterate_succ'", "Function.iterate_succ_apply", "Function.iterate_succ_apply'", "Function.iterate_zero", "Function.iterate_zero_apply", "Function.le_of_lt_minimalPeriod_of_iterate_eq", "Function.leftInvOn_invFunOn_of_subset_image_image", "Function.leftInverse_invFun", "Function.mapsTo_fixedPoints_comp", "Function.mem_fixedPoints", "Function.mem_fixedPoints_iff", "Function.mem_mulSupport", "Function.mem_periodicOrbit_iff", "Function.mem_periodicPts", "Function.mem_ptsOfPeriod", "Function.minimalPeriod_apply_iterate", "Function.minimalPeriod_eq_prime", "Function.minimalPeriod_eq_prime_pow", "Function.minimalPeriod_eq_zero_iff_nmem_periodicPts", "Function.minimalPeriod_eq_zero_of_nmem_periodicPts", "Function.minimalPeriod_iterate_eq_div_gcd", "Function.minimalPeriod_iterate_eq_div_gcd'", "Function.minimalPeriod_iterate_eq_div_gcd_aux", "Function.minimalPeriod_pos_iff_mem_periodicPts", "Function.minimalPeriod_pos_of_mem_periodicPts", "Function.minimalPeriod_prod_map", "Function.monotoneOn_of_rightInvOn_of_mapsTo", "Function.monotone_eval", "Function.monotone_iterate_of_id_le", "Function.mt", "Function.mtr", "Function.mulSupport_add_one'", "Function.mulSupport_along_fiber_finite_of_finite", "Function.mulSupport_along_fiber_subset", "Function.mulSupport_binop_subset", "Function.mulSupport_comp_eq", "Function.mulSupport_comp_eq_of_range_subset", "Function.mulSupport_comp_eq_preimage", "Function.mulSupport_comp_subset", "Function.mulSupport_const", "Function.mulSupport_curry", "Function.mulSupport_disjoint_iff", "Function.mulSupport_eq_empty_iff", "Function.mulSupport_eq_iff", "Function.mulSupport_eq_preimage", "Function.mulSupport_extend_one", "Function.mulSupport_extend_one_subset", "Function.mulSupport_iInf", "Function.mulSupport_iSup", "Function.mulSupport_inf", "Function.mulSupport_intCast", "Function.mulSupport_inv", "Function.mulSupport_inv'", "Function.mulSupport_mul", "Function.mulSupport_mul_inv", "Function.mulSupport_natCast", "Function.mulSupport_nonempty_iff", "Function.mulSupport_one", "Function.mulSupport_one'", "Function.mulSupport_one_add", "Function.mulSupport_one_sub", "Function.mulSupport_one_sub'", "Function.mulSupport_pow", "Function.mulSupport_prod_mk", "Function.mulSupport_prod_mk'", "Function.mulSupport_subset_iff", "Function.mulSupport_subset_iff'", "Function.mulSupport_sup", "Function.mulSupport_update_eq_ite", "Function.mulSupport_update_of_ne_one", "Function.mulSupport_update_one", "Function.mulSupport_zero", "Function.ne_iff", "Function.ne_update_self_iff", "Function.nmem_mulSupport", "Function.nodup_periodicOrbit", "Function.not_injective", "Function.not_injective_iff", "Function.not_involutive", "Function.not_isPeriodicPt_of_pos_of_lt_minimalPeriod", "Function.not_lt_argminOn", "Function.not_surjective", "Function.not_surjective_Type", "Function.one_le_const", "Function.one_le_const_of_one_le", "Function.one_le_extend", "Function.one_lt_const", "Function.partialInv_of_injective", "Function.periodicOrbit_apply_iterate_eq", "Function.periodicOrbit_chain", "Function.periodicOrbit_chain'", "Function.periodicOrbit_def", "Function.periodicOrbit_eq_cycle_map", "Function.periodicOrbit_eq_nil_iff_not_periodic_pt", "Function.periodicOrbit_length", "Function.periodic_with_period_zero", "Function.piCongrLeft'_symm_update", "Function.piCongrLeft'_update", "Function.pred_update", "Function.range_eq_image_or_of_mulSupport_subset", "Function.range_subset_insert_image_mulSupport", "Function.rightInverse_iff_comp", "Function.rightInverse_invFun", "Function.rightInverse_of_injective_of_leftInverse", "Function.rightInverse_surjInv", "Function.self_mem_periodicOrbit", "Function.semiconj_iff_comp_eq", "Function.semiconj_of_isLUB", "Function.sometimes_eq", "Function.star_sum_elim", "Function.support_const_smul_of_ne_zero", "Function.support_div", "Function.support_intCast", "Function.support_inv", "Function.support_inv'", "Function.support_mul", "Function.support_mul'", "Function.support_mul_subset_left", "Function.support_mul_subset_right", "Function.support_one", "Function.support_pow", "Function.support_smul", "Function.support_smul_subset_left", "Function.support_smul_subset_right", "Function.surjInv_eq", "Function.surjective_of_right_cancellable_Prop", "Function.surjective_to_subsingleton", "Function.swap_def", "Function.symmetric_apply_eq_iff", "Function.uncurry_apply_pair", "Function.uncurry_bicompl", "Function.uncurry_curry", "Function.uncurry_def", "Function.updateFinset_def", "Function.updateFinset_empty", "Function.updateFinset_singleton", "Function.updateFinset_updateFinset", "Function.update_apply", "Function.update_apply_equiv_apply", "Function.update_comm", "Function.update_comp_eq_of_forall_ne", "Function.update_comp_eq_of_injective", "Function.update_comp_eq_of_injective'", "Function.update_comp_eq_of_not_mem_range'", "Function.update_comp_equiv", "Function.update_div", "Function.update_eq_const_of_subsingleton", "Function.update_eq_iff", "Function.update_eq_self", "Function.update_eq_self_iff", "Function.update_eq_updateFinset", "Function.update_exp", "Function.update_idem", "Function.update_inf", "Function.update_injective", "Function.update_mono", "Function.update_mul", "Function.update_ne_self_iff", "Function.update_noteq", "Function.update_one", "Function.update_same", "Function.update_smul", "Function.update_star", "Function.update_strictMono", "Function.update_sup", "FunctionField.InftyValuation.map_add_le_max'", "FunctionField.InftyValuation.map_mul'", "FunctionField.InftyValuation.map_one'", "FunctionField.classNumber_eq_one_iff", "FunctionField.inftyValuation.C", "FunctionField.inftyValuation.X", "FunctionField.inftyValuation.polynomial", "FunctionField.inftyValuation_apply", "FunctionField.inftyValuation_of_nonzero", "FunctionField.inftyValuedFqt.def", "FunctionField.ringOfIntegers.algebraMap_injective", "FunctionField.ringOfIntegers.not_isField", "Functor.Comp.applicative_comp_id", "Functor.Comp.applicative_id_comp", "Functor.Comp.comp_map", "Functor.Comp.ext", "Functor.Comp.functor_comp_id", "Functor.Comp.functor_id_comp", "Functor.Comp.id_map", "Functor.Comp.map_pure", "Functor.Comp.run_pure", "Functor.Const.ext", "Functor.mapEquiv_apply", "Functor.mapEquiv_refl", "Functor.mapEquiv_symm_apply", "Functor.map_comp_map", "Functor.map_equiv_apply", "Functor.map_equiv_symm_apply", "Functor.map_id", "Functor.map_map", "Functor.of_mem_supp", "FundamentalGroupoid.map_eq", "FundamentalGroupoid.subsingleton_iff", "FundamentalGroupoidFunctor.projRight_map", "GCongr.Filter.comap_le_comap", "GCongr.Filter.map_le_map", "GCongr.algebraMap_le_algebraMap", "GCongr.algebraMap_lt_algebraMap", "GCongr.ennreal_tsum_le_tsum", "GCongr.prod_le_prod", "GCongr.prod_le_prod'", "GE.ge.le", "GaloisCoinsertion.isAtom_iff", "GaloisCoinsertion.isAtom_of_image", "GaloisCoinsertion.isCoatom_iff'", "GaloisCoinsertion.u_biSup_l", "GaloisCoinsertion.u_iSup_l", "GaloisCoinsertion.u_iSup_of_lu_eq_self", "GaloisCoinsertion.u_inf_l", "GaloisCoinsertion.u_l_eq", "GaloisCoinsertion.u_l_leftInverse", "GaloisCoinsertion.u_sSup_l_image", "GaloisCoinsertion.u_sup_l", "GaloisConnection.compl", "GaloisConnection.compose", "GaloisConnection.dfun", "GaloisConnection.dual", "GaloisConnection.exists_eq_l", "GaloisConnection.exists_eq_u", "GaloisConnection.isGLB_l", "GaloisConnection.isLUB_l_image", "GaloisConnection.isLUB_u", "GaloisConnection.isLeast_l", "GaloisConnection.l_bot", "GaloisConnection.l_ciSup", "GaloisConnection.l_ciSup_set", "GaloisConnection.l_comm_iff_u_comm", "GaloisConnection.l_comm_of_u_comm", "GaloisConnection.l_csSup'", "GaloisConnection.l_eq_bot", "GaloisConnection.l_iSup", "GaloisConnection.l_iSup\u2082", "GaloisConnection.l_limsup_le", "GaloisConnection.l_sSup", "GaloisConnection.l_sup", "GaloisConnection.l_u_l_eq_l'", "GaloisConnection.l_u_le", "GaloisConnection.l_u_le_trans", "GaloisConnection.l_unique", "GaloisConnection.le_iff_le", "GaloisConnection.le_u", "GaloisConnection.le_u_l", "GaloisConnection.lowerBounds_u_image", "GaloisConnection.lt_iff_lt", "GaloisConnection.u_ciInf", "GaloisConnection.u_ciInf_set", "GaloisConnection.u_csInf", "GaloisConnection.u_csInf'", "GaloisConnection.u_eq", "GaloisConnection.u_eq_top", "GaloisConnection.u_iInf\u2082", "GaloisConnection.u_l_u_eq_u", "GaloisConnection.u_sInf", "GaloisConnection.u_top", "GaloisConnection.u_unique", "GaloisConnection.upperBounds_l_image", "GaloisField.card", "GaloisField.finrank", "GaloisField.isSplittingField_of_card_eq", "GaloisField.splits_X_pow_card_sub_X", "GaloisField.splits_zmod_X_pow_sub_X", "GaloisInsertion.isAtom_iff", "GaloisInsertion.isCoatom_iff", "GaloisInsertion.isCoatom_of_image", "GaloisInsertion.isLUB_of_u_image", "GaloisInsertion.l_biInf_of_ul_eq_self", "GaloisInsertion.l_biInf_u", "GaloisInsertion.l_biSup_u", "GaloisInsertion.l_iInf_of_ul_eq_self", "GaloisInsertion.l_inf_u", "GaloisInsertion.l_sInf_u_image", "GaloisInsertion.l_sSup_u_image", "GaloisInsertion.l_sup_u", "GaloisInsertion.l_surjective", "GaloisInsertion.l_u_eq", "GaloisInsertion.strictMono_u", "GaloisInsertion.u_injective", "GaloisInsertion.u_le_u_iff", "Gamma0_det", "Gamma0_is_congruence", "Gamma1_in_Gamma0", "Gamma1_is_congruence", "Gamma1_mem", "Gamma1_to_Gamma0_mem", "Gamma_cong_eq_self", "Gamma_mem", "Gamma_mem'", "Gamma_normal", "Gamma_one_top", "Gamma_zero_bot", "GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_I", "GaussianFourier.integrable_cexp_neg_mul_sq_norm_add", "GaussianFourier.integrable_cexp_neg_mul_sq_norm_add_of_euclideanSpace", "GaussianFourier.integrable_cexp_neg_mul_sum_add", "GaussianFourier.integrable_cexp_neg_sum_mul_add", "GaussianFourier.integral_cexp_neg_mul_sq_add_real_mul_I", "GaussianFourier.integral_cexp_neg_mul_sq_norm", "GaussianFourier.integral_cexp_neg_mul_sq_norm_add", "GaussianFourier.integral_cexp_neg_mul_sq_norm_add_of_euclideanSpace", "GaussianFourier.integral_cexp_neg_mul_sum_add", "GaussianFourier.integral_cexp_neg_sum_mul_add", "GaussianFourier.integral_rexp_neg_mul_sq_norm", "GaussianFourier.norm_cexp_neg_mul_sq_add_mul_I", "GaussianFourier.norm_cexp_neg_mul_sq_add_mul_I'", "GaussianFourier.tendsto_verticalIntegral", "GaussianFourier.verticalIntegral_norm_le", "GaussianInt.div_def", "GaussianInt.intCast_complex_norm", "GaussianInt.intCast_real_norm", "GaussianInt.mod_def", "GaussianInt.mod_four_eq_three_of_nat_prime_of_prime", "GaussianInt.natAbs_norm_eq", "GaussianInt.natCast_natAbs_norm", "GaussianInt.normSq_div_sub_div_lt_one", "GaussianInt.normSq_le_normSq_of_re_le_of_im_le", "GaussianInt.norm_eq_zero", "GaussianInt.norm_le_norm_mul_left", "GaussianInt.norm_mod_lt", "GaussianInt.norm_nonneg", "GaussianInt.norm_pos", "GaussianInt.prime_iff_mod_four_eq_three_of_nat_prime", "GaussianInt.sq_add_sq_of_nat_prime_of_not_irreducible", "GaussianInt.toComplex_add", "GaussianInt.toComplex_def", "GaussianInt.toComplex_def'", "GaussianInt.toComplex_def\u2082", "GaussianInt.toComplex_div_im", "GaussianInt.toComplex_div_re", "GaussianInt.toComplex_injective", "GaussianInt.toComplex_mul", "GaussianInt.toComplex_neg", "GaussianInt.toComplex_one", "GaussianInt.toComplex_star", "GaussianInt.toComplex_sub", "GaussianInt.toComplex_zero", "GaussianInt.to_real_im", "GenLoop.Homotopic.refl", "GenLoop.Homotopic.symm", "GenLoop.Homotopic.trans", "GenLoop.boundary", "GenLoop.coe_copy", "GenLoop.const_apply", "GenLoop.copy_eq", "GenLoop.ext", "GenLoop.fromLoop_apply", "GenLoop.fromLoop_symm_toLoop", "GenLoop.fromLoop_trans_toLoop", "GenLoop.homotopicFrom", "GenLoop.homotopicTo", "GenLoop.homotopyTo_apply", "GenLoop.toLoop_apply", "GenLoop.to_from", "GenLoop.transAt_distrib", "GeneralizedContinuedFraction.IntFractPair.coe_of_rat_eq", "GeneralizedContinuedFraction.IntFractPair.coe_stream_nth_rat_eq", "GeneralizedContinuedFraction.IntFractPair.coe_to_intFractPair", "GeneralizedContinuedFraction.IntFractPair.exists_nth_stream_eq_none_of_rat", "GeneralizedContinuedFraction.IntFractPair.exists_succ_get?_stream_of_gcf_of_get?_eq_some", "GeneralizedContinuedFraction.IntFractPair.exists_succ_nth_stream_of_fr_zero", "GeneralizedContinuedFraction.IntFractPair.nth_stream_fr_lt_one", "GeneralizedContinuedFraction.IntFractPair.nth_stream_fr_nonneg", "GeneralizedContinuedFraction.IntFractPair.nth_stream_fr_nonneg_lt_one", "GeneralizedContinuedFraction.IntFractPair.one_le_succ_nth_stream_b", "GeneralizedContinuedFraction.IntFractPair.stream_eq_none_of_fr_eq_zero", "GeneralizedContinuedFraction.IntFractPair.stream_isSeq", "GeneralizedContinuedFraction.IntFractPair.stream_nth_fr_num_le_fr_num_sub_n_rat", "GeneralizedContinuedFraction.IntFractPair.stream_succ", "GeneralizedContinuedFraction.IntFractPair.stream_succ_nth_fr_num_lt_nth_fr_num_rat", "GeneralizedContinuedFraction.IntFractPair.stream_succ_of_int", "GeneralizedContinuedFraction.IntFractPair.stream_zero", "GeneralizedContinuedFraction.IntFractPair.succ_nth_stream_b_le_nth_stream_fr_inv", "GeneralizedContinuedFraction.IntFractPair.succ_nth_stream_eq_none_iff", "GeneralizedContinuedFraction.IntFractPair.succ_nth_stream_eq_some_iff", "GeneralizedContinuedFraction.Pair.coe_toPair", "GeneralizedContinuedFraction.abs_sub_convergents_le", "GeneralizedContinuedFraction.abs_sub_convergents_le'", "GeneralizedContinuedFraction.coe_of_h_rat_eq", "GeneralizedContinuedFraction.coe_of_rat_eq", "GeneralizedContinuedFraction.coe_of_s_get?_rat_eq", "GeneralizedContinuedFraction.coe_toGeneralizedContinuedFraction", "GeneralizedContinuedFraction.compExactValue_correctness_of_stream_eq_some", "GeneralizedContinuedFraction.compExactValue_correctness_of_stream_eq_some_aux_comp", "GeneralizedContinuedFraction.continuantsAux_eq_continuantsAux_squashGCF_of_le", "GeneralizedContinuedFraction.continuantsAux_recurrence", "GeneralizedContinuedFraction.continuantsAux_stable_of_terminated", "GeneralizedContinuedFraction.continuantsAux_stable_step_of_terminated", "GeneralizedContinuedFraction.continuants_recurrence", "GeneralizedContinuedFraction.continuants_recurrenceAux", "GeneralizedContinuedFraction.continuants_stable_of_terminated", "GeneralizedContinuedFraction.convergent_eq_conts_a_div_conts_b", "GeneralizedContinuedFraction.convergent_eq_num_div_denom", "GeneralizedContinuedFraction.convergents'Aux_stable_of_terminated", "GeneralizedContinuedFraction.convergents'Aux_stable_step_of_terminated", "GeneralizedContinuedFraction.convergents'Aux_succ_none", "GeneralizedContinuedFraction.convergents'Aux_succ_some", "GeneralizedContinuedFraction.convergents'_of_int", "GeneralizedContinuedFraction.convergents'_succ", "GeneralizedContinuedFraction.convergents_eq_convergents'", "GeneralizedContinuedFraction.convergents_stable_of_terminated", "GeneralizedContinuedFraction.denom_eq_conts_b", "GeneralizedContinuedFraction.denominators_recurrence", "GeneralizedContinuedFraction.denominators_stable_of_terminated", "GeneralizedContinuedFraction.determinant", "GeneralizedContinuedFraction.determinant_aux", "GeneralizedContinuedFraction.exists_conts_b_of_denom", "GeneralizedContinuedFraction.exists_gcf_pair_rat_eq_nth_conts", "GeneralizedContinuedFraction.exists_gcf_pair_rat_eq_of_nth_conts_aux", "GeneralizedContinuedFraction.exists_int_eq_of_part_denom", "GeneralizedContinuedFraction.exists_rat_eq_nth_convergent", "GeneralizedContinuedFraction.exists_rat_eq_nth_denominator", "GeneralizedContinuedFraction.exists_rat_eq_nth_numerator", "GeneralizedContinuedFraction.exists_rat_eq_of_terminates", "GeneralizedContinuedFraction.exists_s_a_of_part_num", "GeneralizedContinuedFraction.exists_s_b_of_part_denom", "GeneralizedContinuedFraction.fib_le_of_continuantsAux_b", "GeneralizedContinuedFraction.first_continuant_eq", "GeneralizedContinuedFraction.first_denominator_eq", "GeneralizedContinuedFraction.first_numerator_eq", "GeneralizedContinuedFraction.get?_of_eq_some_of_get?_intFractPair_stream_fr_ne_zero", "GeneralizedContinuedFraction.get?_of_eq_some_of_succ_get?_intFractPair_stream", "GeneralizedContinuedFraction.le_of_succ_get?_denom", "GeneralizedContinuedFraction.le_of_succ_succ_get?_continuantsAux_b", "GeneralizedContinuedFraction.nth_cont_eq_succ_nth_cont_aux", "GeneralizedContinuedFraction.num_eq_conts_a", "GeneralizedContinuedFraction.numerators_recurrence", "GeneralizedContinuedFraction.numerators_stable_of_terminated", "GeneralizedContinuedFraction.of_convergence", "GeneralizedContinuedFraction.of_convergence_epsilon", "GeneralizedContinuedFraction.of_convergents_eq_convergents'", "GeneralizedContinuedFraction.of_correctness_atTop_of_terminates", "GeneralizedContinuedFraction.of_correctness_of_nth_stream_eq_none", "GeneralizedContinuedFraction.of_denom_mono", "GeneralizedContinuedFraction.of_h_eq_floor", "GeneralizedContinuedFraction.of_h_eq_intFractPair_seq1_fst_b", "GeneralizedContinuedFraction.of_one_le_get?_part_denom", "GeneralizedContinuedFraction.of_part_num_eq_one", "GeneralizedContinuedFraction.of_part_num_eq_one_and_exists_int_part_denom_eq", "GeneralizedContinuedFraction.of_s_head", "GeneralizedContinuedFraction.of_s_head_aux", "GeneralizedContinuedFraction.of_s_of_int", "GeneralizedContinuedFraction.of_s_succ", "GeneralizedContinuedFraction.of_s_tail", "GeneralizedContinuedFraction.of_terminatedAt_n_iff_succ_nth_intFractPair_stream_eq_none", "GeneralizedContinuedFraction.of_terminates_iff_of_rat_terminates", "GeneralizedContinuedFraction.part_denom_eq_s_b", "GeneralizedContinuedFraction.part_denom_none_iff_s_none", "GeneralizedContinuedFraction.part_num_eq_s_a", "GeneralizedContinuedFraction.second_continuant_aux_eq", "GeneralizedContinuedFraction.squashGCF_eq_self_of_terminated", "GeneralizedContinuedFraction.squashGCF_nth_of_lt", "GeneralizedContinuedFraction.squashSeq_eq_self_of_terminated", "GeneralizedContinuedFraction.squashSeq_nth_of_lt", "GeneralizedContinuedFraction.squashSeq_nth_of_not_terminated", "GeneralizedContinuedFraction.squashSeq_succ_n_tail_eq_squashSeq_tail_n", "GeneralizedContinuedFraction.sub_convergents_eq", "GeneralizedContinuedFraction.succ_nth_convergent'_eq_squashGCF_nth_convergent'", "GeneralizedContinuedFraction.succ_nth_convergent_eq_squashGCF_nth_convergent", "GeneralizedContinuedFraction.succ_nth_fib_le_of_nth_denom", "GeneralizedContinuedFraction.succ_succ_nth_convergent'_aux_eq_succ_nth_convergent'_aux_squashSeq", "GeneralizedContinuedFraction.terminatedAt_iff_part_denom_none", "GeneralizedContinuedFraction.terminatedAt_iff_part_num_none", "GeneralizedContinuedFraction.terminatedAt_iff_s_none", "GeneralizedContinuedFraction.terminatedAt_iff_s_terminatedAt", "GeneralizedContinuedFraction.terminated_stable", "GeneralizedContinuedFraction.terminates_iff_rat", "GeneralizedContinuedFraction.zero_le_of_continuantsAux_b", "GeneralizedContinuedFraction.zero_le_of_denom", "GeneralizedContinuedFraction.zeroth_continuant_aux_eq_one_zero", "GeneralizedContinuedFraction.zeroth_continuant_eq_h_one", "GeneralizedContinuedFraction.zeroth_convergent'_eq_h", "GeneralizedContinuedFraction.zeroth_convergent_eq_h", "GeneralizedContinuedFraction.zeroth_denominator_eq_one", "GeneralizedContinuedFraction.zeroth_numerator_eq_h", "Geometry.SimplicialComplex.convexHull_inter_convexHull", "Geometry.SimplicialComplex.convexHull_subset_space", "Geometry.SimplicialComplex.disjoint_or_exists_inter_eq_convexHull", "Geometry.SimplicialComplex.faces_bot", "Geometry.SimplicialComplex.facets_bot", "Geometry.SimplicialComplex.facets_subset", "Geometry.SimplicialComplex.mem_facets", "Geometry.SimplicialComplex.mem_space_iff", "Geometry.SimplicialComplex.mem_vertices", "Geometry.SimplicialComplex.not_facet_iff_subface", "Geometry.SimplicialComplex.subset_space", "Geometry.SimplicialComplex.vertex_mem_convexHull_iff", "Geometry.SimplicialComplex.vertices_eq", "Geometry.SimplicialComplex.vertices_subset_space", "GradedAlgebra.mem_support_iff", "GradedAlgebra.proj_apply", "GradedAlgebra.proj_recompose", "GradedMonoid.GMonoid.gnpowRec_succ", "GradedMonoid.GMonoid.gnpowRec_zero", "GradedMonoid.GradeZero.smul_eq_mul", "GradedMonoid.fst_mul", "GradedMonoid.fst_one", "GradedMonoid.fst_pow", "GradedMonoid.fst_smul", "GradedMonoid.list_prod_map_eq_dProd", "GradedMonoid.list_prod_ofFn_eq_dProd", "GradedMonoid.mk_list_dProd", "GradedMonoid.mk_mul_mk", "GradedMonoid.mk_zero_pow", "GradedMonoid.mk_zero_smul", "GradedMonoid.snd_mul", "GradedMonoid.snd_pow", "GradedMonoid.snd_smul", "GradedRing.mem_support_iff", "GradedRing.projZeroRingHom'_apply_coe", "GradedRing.projZeroRingHom'_surjective", "GradedRing.proj_apply", "GradedRing.proj_recompose", "GradedTensorProduct.algebraMap_def'", "GradedTensorProduct.auxEquiv_comm", "GradedTensorProduct.auxEquiv_one", "GradedTensorProduct.auxEquiv_tmul", "GradedTensorProduct.comm_coe_tmul_coe", "GradedTensorProduct.hom_ext", "GradedTensorProduct.lift_tmul", "GradedTensorProduct.of_one", "GradedTensorProduct.of_symm_one", "GradedTensorProduct.tmul_coe_mul_algebraMap_tmul", "GradedTensorProduct.tmul_coe_mul_coe_tmul", "GradedTensorProduct.tmul_coe_mul_one_tmul", "GradedTensorProduct.tmul_coe_mul_zero_coe_tmul", "GradedTensorProduct.tmul_one_mul_coe_tmul", "GradedTensorProduct.tmul_one_mul_one_tmul", "GradedTensorProduct.tmul_zero_coe_mul_coe_tmul", "GromovHausdorff.HD_below_aux1", "GromovHausdorff.HD_below_aux2", "GromovHausdorff.HD_bound_aux1", "GromovHausdorff.HD_bound_aux2", "GromovHausdorff.HD_candidatesBDist_le", "GromovHausdorff.HD_continuous", "GromovHausdorff.HD_lipschitz_aux1", "GromovHausdorff.HD_lipschitz_aux2", "GromovHausdorff.HD_lipschitz_aux3", "GromovHausdorff.HD_optimalGHDist_le", "GromovHausdorff.candidatesBDist_mem_candidatesB", "GromovHausdorff.candidatesBOfCandidates_mem", "GromovHausdorff.candidates_dist_bound", "GromovHausdorff.candidates_dist_inr", "GromovHausdorff.candidates_lipschitz", "GromovHausdorff.candidates_lipschitz_aux", "GromovHausdorff.candidates_nonneg", "GromovHausdorff.candidates_triangle", "GromovHausdorff.closed_candidatesB", "GromovHausdorff.dist_ghDist", "GromovHausdorff.dist_mem_candidates", "GromovHausdorff.eq_toGHSpace", "GromovHausdorff.eq_toGHSpace_iff", "GromovHausdorff.equivalence_isometryRel", "GromovHausdorff.ghDist_eq_hausdorffDist", "GromovHausdorff.ghDist_le_hausdorffDist", "GromovHausdorff.ghDist_le_nonemptyCompacts_dist", "GromovHausdorff.ghDist_le_of_approx_subsets", "GromovHausdorff.hausdorffDist_optimal", "GromovHausdorff.hausdorffDist_optimal_le_HD", "GromovHausdorff.isCompact_candidatesB", "GromovHausdorff.isometry_optimalGHInjl", "GromovHausdorff.isometry_optimalGHInjr", "GromovHausdorff.one_le_maxVar", "GromovHausdorff.optimalGHDist_mem_candidatesB", "GromovHausdorff.toGHSpace_continuous", "GromovHausdorff.toGHSpace_eq_toGHSpace_iff_isometryEquiv", "GromovHausdorff.totallyBounded", "Group.card_center_add_sum_card_noncenter_eq_card", "Group.card_pow_eq_card_pow_card_univ", "Group.card_pow_eq_card_pow_card_univ_aux", "Group.closure.isSubgroup", "Group.closure_eq_mclosure", "Group.closure_subset_iff", "Group.conj_mem_conjugatesOfSet", "Group.conjugatesOfSet_mono", "Group.conjugatesOfSet_subset_normalClosure", "Group.conjugatesOf_subset", "Group.conjugates_subset_normal", "Group.covariant_iff_contravariant", "Group.covariant_swap_iff_contravariant_swap", "Group.exists_list_of_mem_closure", "Group.exponent_dvd_card", "Group.exponent_dvd_nat_card", "Group.ext", "Group.fg_def", "Group.fg_iff", "Group.fg_iff'", "Group.fg_iff_monoid_fg", "Group.fg_iff_subgroup_fg", "Group.fg_of_surjective", "Group.image_closure", "Group.isUnit", "Group.mem_closure", "Group.mem_closure_union_iff", "Group.mem_conjugatesOfSet_iff", "Group.mulLeft_bijective", "Group.nat_card_center_add_sum_card_noncenter_eq_card", "Group.normalClosure.isSubgroup", "Group.normalClosure.is_normal", "Group.normalClosure_subset", "Group.normalClosure_subset_iff", "Group.one_lt_exponent", "Group.preimage_smul_set\u209b\u2097", "Group.rank_congr", "Group.rank_le", "Group.rank_le_of_surjective", "Group.rank_range_le", "Group.rank_spec", "Group.subset_closure", "Group.subset_conjugatesOfSet", "Group.subset_normalClosure", "Group.sum_card_conj_classes_eq_card", "GroupAlgebra.mul_average_left", "GroupAlgebra.mul_average_right", "GroupFG.iff_add_fg", "GroupFilterBasis.N_one", "GroupFilterBasis.conj", "GroupFilterBasis.hasBasis", "GroupFilterBasis.mem_nhds_one", "GroupFilterBasis.mul", "GroupFilterBasis.nhds_eq", "GroupFilterBasis.nhds_one_eq", "GroupFilterBasis.nhds_one_hasBasis", "GroupFilterBasis.one", "GroupNorm.add_apply", "GroupNorm.coe_add", "GroupNorm.coe_sup", "GroupNorm.ext", "GroupNorm.le_def", "GroupNorm.lt_def", "GroupNorm.toGroupSeminorm_eq_coe", "GroupSeminorm.add_comp", "GroupSeminorm.apply_one", "GroupSeminorm.coe_add", "GroupSeminorm.coe_le_coe", "GroupSeminorm.coe_lt_coe", "GroupSeminorm.comp_id", "GroupSeminorm.comp_mono", "GroupSeminorm.le_def", "GroupSeminorm.lt_def", "GroupSeminorm.mul_bddBelow_range_add", "GroupSeminorm.smul_sup", "GroupSeminorm.sup_apply", "GroupSeminorm.toFun_eq_coe", "GroupSeminorm.zero_apply", "GroupTopology.coinduced_continuous", "GroupTopology.continuous_inv'", "GroupTopology.continuous_mul'", "GroupTopology.ext'", "GroupTopology.toTopologicalSpace_inf", "GroupTopology.toTopologicalSpace_injective", "GroupTopology.toTopologicalSpace_le", "GroupTopology.toTopologicalSpace_sInf", "GroupWithZero.eq_zero_or_unit", "GroupWithZero.mul_left_injective", "GroupWithZero.mul_right_injective", "Grp.FilteredColimits.G.mk_eq", "Grp.FilteredColimits.colimitInvAux_eq_of_rel", "Grp.FilteredColimits.colimit_inv_mk_eq", "Grp.SurjectiveOfEpiAuxs.agree", "Grp.SurjectiveOfEpiAuxs.comp_eq", "Grp.SurjectiveOfEpiAuxs.fromCoset_eq_of_mem_range", "Grp.SurjectiveOfEpiAuxs.fromCoset_ne_of_nin_range", "Grp.SurjectiveOfEpiAuxs.g_apply_fromCoset", "Grp.SurjectiveOfEpiAuxs.g_apply_infinity", "Grp.SurjectiveOfEpiAuxs.g_ne_h", "Grp.SurjectiveOfEpiAuxs.h_apply_fromCoset", "Grp.SurjectiveOfEpiAuxs.h_apply_fromCoset_nin_range", "Grp.SurjectiveOfEpiAuxs.h_apply_infinity", "Grp.SurjectiveOfEpiAuxs.mul_smul", "Grp.SurjectiveOfEpiAuxs.one_smul", "Grp.SurjectiveOfEpiAuxs.\u03c4_apply_fromCoset", "Grp.SurjectiveOfEpiAuxs.\u03c4_apply_infinity", "Grp.SurjectiveOfEpiAuxs.\u03c4_symm_apply_fromCoset", "Grp.SurjectiveOfEpiAuxs.\u03c4_symm_apply_infinity", "Grp.coe_comp'", "Grp.coe_id", "Grp.coe_id'", "Grp.epi_iff_range_eq_top", "Grp.forget_map", "Grp.isZero_of_subsingleton", "Grp.ker_eq_bot_of_mono", "Grp.mono_iff_injective", "Grp.mono_iff_ker_eq_bot", "Grp.one_apply", "Grp.surjective_of_epi", "GrpWithZero.coe_id", "GrpWithZero.forget_map", "HEq.symm", "HNNExtension.NormalWord.ext", "HNNExtension.NormalWord.group_smul_head", "HNNExtension.NormalWord.group_smul_toList", "HNNExtension.NormalWord.not_cancels_of_cons_hyp", "HNNExtension.NormalWord.of_smul_eq_smul", "HNNExtension.NormalWord.prod_cons", "HNNExtension.NormalWord.prod_group_smul", "HNNExtension.NormalWord.prod_injective", "HNNExtension.NormalWord.prod_smul", "HNNExtension.NormalWord.prod_smul_empty", "HNNExtension.NormalWord.prod_unitsSMul", "HNNExtension.NormalWord.smul_cons", "HNNExtension.NormalWord.smul_ofGroup", "HNNExtension.NormalWord.t_pow_smul_eq_unitsSMul", "HNNExtension.NormalWord.t_smul_eq_unitsSMul", "HNNExtension.NormalWord.unitsSMulGroup_snd", "HNNExtension.NormalWord.unitsSMul_cancels_iff", "HNNExtension.NormalWord.unitsSMul_neg", "HNNExtension.NormalWord.unitsSMul_one_group_smul", "HNNExtension.ReducedWord.exists_normalWord_prod_eq", "HNNExtension.ReducedWord.map_fst_eq_and_of_prod_eq", "HNNExtension.ReducedWord.toList_eq_nil_of_mem_of_range", "HNNExtension.equiv_eq_conj", "HNNExtension.equiv_symm_eq_conj", "HNNExtension.hom_ext", "HNNExtension.induction_on", "HNNExtension.lift_of", "HNNExtension.lift_t", "HNNExtension.of_injective", "HNNExtension.of_mul_inv_t", "HNNExtension.t_mul_of", "HNNExtension.toSubgroupEquiv_neg_apply", "HNNExtension.toSubgroup_one", "HahnModule.of_symm_add", "HahnModule.of_symm_zero", "HahnModule.of_zero", "HahnModule.smul_coeff", "HahnModule.smul_coeff_left", "HahnModule.smul_coeff_right", "HahnSeries.C_eq_algebraMap", "HahnSeries.C_injective", "HahnSeries.C_ne_zero", "HahnSeries.C_one", "HahnSeries.C_zero", "HahnSeries.SummableFamily.coe_add", "HahnSeries.SummableFamily.coe_injective", "HahnSeries.SummableFamily.coe_neg", "HahnSeries.SummableFamily.coe_ofFinsupp", "HahnSeries.SummableFamily.coe_powers", "HahnSeries.SummableFamily.coe_sub", "HahnSeries.SummableFamily.embDomain_apply", "HahnSeries.SummableFamily.embDomain_image", "HahnSeries.SummableFamily.embDomain_notin_range", "HahnSeries.SummableFamily.embDomain_succ_smul_powers", "HahnSeries.SummableFamily.ext", "HahnSeries.SummableFamily.hsum_add", "HahnSeries.SummableFamily.hsum_coeff", "HahnSeries.SummableFamily.hsum_embDomain", "HahnSeries.SummableFamily.hsum_ofFinsupp", "HahnSeries.SummableFamily.hsum_smul", "HahnSeries.SummableFamily.hsum_sub", "HahnSeries.SummableFamily.neg_apply", "HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers", "HahnSeries.SummableFamily.smul_apply", "HahnSeries.SummableFamily.support_hsum_subset", "HahnSeries.SummableFamily.zero_apply", "HahnSeries.addVal_apply", "HahnSeries.addVal_apply_of_ne", "HahnSeries.addVal_le_of_coeff_ne_zero", "HahnSeries.add_coeff", "HahnSeries.algebraMap_apply", "HahnSeries.algebraMap_apply'", "HahnSeries.coeff_eq_zero_of_lt_order", "HahnSeries.coeff_eq_zero_of_lt_orderTop", "HahnSeries.coeff_inj", "HahnSeries.coeff_injective", "HahnSeries.coeff_orderTop_ne", "HahnSeries.coeff_order_ne_zero", "HahnSeries.coeff_toMvPowerSeries", "HahnSeries.coeff_toMvPowerSeries_symm", "HahnSeries.coeff_toPowerSeries", "HahnSeries.embDomain_add", "HahnSeries.embDomain_coeff", "HahnSeries.embDomain_injective", "HahnSeries.embDomain_mul", "HahnSeries.embDomain_notin_image_support", "HahnSeries.embDomain_notin_range", "HahnSeries.embDomain_one", "HahnSeries.embDomain_single", "HahnSeries.embDomain_smul", "HahnSeries.embDomain_zero", "HahnSeries.eq_of_mem_support_single", "HahnSeries.forallLTEqZero_supp_BddBelow", "HahnSeries.isPWO_iUnion_support_powers", "HahnSeries.isPWO_support", "HahnSeries.isUnit_iff", "HahnSeries.le_order_smul", "HahnSeries.mem_support", "HahnSeries.min_order_le_order_add", "HahnSeries.mk_eq_zero", "HahnSeries.mul_assoc'", "HahnSeries.mul_coeff", "HahnSeries.mul_coeff_left'", "HahnSeries.mul_coeff_order_add_order", "HahnSeries.mul_single_coeff_add", "HahnSeries.mul_single_zero_coeff", "HahnSeries.ne_zero_iff_orderTop", "HahnSeries.ne_zero_of_coeff_ne_zero", "HahnSeries.neg_coeff'", "HahnSeries.ofPowerSeries_C", "HahnSeries.ofPowerSeries_X", "HahnSeries.ofPowerSeries_X_pow", "HahnSeries.ofPowerSeries_apply", "HahnSeries.ofPowerSeries_apply_coeff", "HahnSeries.ofPowerSeries_injective", "HahnSeries.of_symm_smul_of_eq_mul", "HahnSeries.one_coeff", "HahnSeries.orderTop_eq_top_iff", "HahnSeries.orderTop_le_of_coeff_ne_zero", "HahnSeries.orderTop_single", "HahnSeries.orderTop_zero", "HahnSeries.order_C", "HahnSeries.order_le_of_coeff_ne_zero", "HahnSeries.order_mul", "HahnSeries.order_neg", "HahnSeries.order_ofForallLtEqZero", "HahnSeries.order_of_ne", "HahnSeries.order_one", "HahnSeries.order_pow", "HahnSeries.order_single", "HahnSeries.order_smul_not_lt", "HahnSeries.order_zero", "HahnSeries.single_coeff", "HahnSeries.single_coeff_same", "HahnSeries.single_eq_zero", "HahnSeries.single_mul_coeff_add", "HahnSeries.single_mul_single", "HahnSeries.single_pow", "HahnSeries.single_zero_mul_coeff", "HahnSeries.single_zero_one", "HahnSeries.smul_coeff", "HahnSeries.sub_coeff'", "HahnSeries.suppBddBelow_supp_PWO", "HahnSeries.support_add_subset", "HahnSeries.support_embDomain_subset", "HahnSeries.support_eq_empty_iff", "HahnSeries.support_mul_subset_add_support", "HahnSeries.support_nonempty_iff", "HahnSeries.support_one", "HahnSeries.support_single_subset", "HahnSeries.support_zero", "HahnSeries.unit_aux", "HahnSeries.untop_orderTop_of_ne_zero", "HahnSeries.zero_coeff", "HahnSeries.zero_ofSuppBddBelow", "HallMarriageTheorem.hall_cond_of_compl", "HallMarriageTheorem.hall_cond_of_erase", "HallMarriageTheorem.hall_cond_of_restrict", "HallMarriageTheorem.hall_hard_inductive", "HallMarriageTheorem.hall_hard_inductive_step_A", "HallMarriageTheorem.hall_hard_inductive_step_B", "Hamming.dist_eq_hammingDist", "Hamming.nndist_eq_hammingDist", "Hamming.nnnorm_eq_hammingNorm", "Hamming.ofHamming_add", "Hamming.ofHamming_neg", "Hamming.ofHamming_smul", "Hamming.ofHamming_sub", "Hamming.ofHamming_symm_eq", "Hamming.ofHamming_toHamming", "Hamming.ofHamming_zero", "Hamming.toHamming_neg", "Hamming.toHamming_ofHamming", "Hamming.toHamming_smul", "Hamming.toHamming_zero", "HasCompactMulSupport.comp_closedEmbedding", "HasCompactMulSupport.comp_homeomorph", "HasCompactMulSupport.comp_left", "HasCompactMulSupport.comp_smul", "HasCompactMulSupport.comp\u2082_left", "HasCompactMulSupport.continuous_extend_one", "HasCompactMulSupport.eq_one_or_finiteDimensional", "HasCompactMulSupport.exists_bound_of_continuous", "HasCompactMulSupport.exists_pos_le_norm", "HasCompactMulSupport.intro", "HasCompactMulSupport.intro'", "HasCompactMulSupport.isCompact_preimage", "HasCompactMulSupport.is_one_at_infty", "HasCompactMulSupport.mono", "HasCompactMulSupport.mono'", "HasCompactMulSupport.mulTSupport_extend_one", "HasCompactMulSupport.mulTSupport_extend_one_subset", "HasCompactMulSupport.of_compactSpace", "HasCompactMulSupport.of_mulSupport_subset_isCompact", "HasCompactSupport.contDiff_convolution_right", "HasCompactSupport.continuous_convolution_right", "HasCompactSupport.convolution", "HasCompactSupport.convolutionExistsAt", "HasCompactSupport.convolutionExistsLeft", "HasCompactSupport.convolutionExists_left_of_continuous_right", "HasCompactSupport.convolutionExists_right", "HasCompactSupport.convolution_integrand_bound_left", "HasCompactSupport.deriv", "HasCompactSupport.ennnorm_le_lintegral_Ici_deriv", "HasCompactSupport.eq_zero_or_finiteDimensional", "HasCompactSupport.eq_zero_or_locallyCompactSpace_of_group", "HasCompactSupport.exists_simpleFunc_approx_of_prod", "HasCompactSupport.fderiv_apply", "HasCompactSupport.hasDerivAt_convolution_left", "HasCompactSupport.hasDerivAt_convolution_right", "HasCompactSupport.hasFDerivAt_convolution_left", "HasCompactSupport.hasFDerivAt_convolution_right", "HasCompactSupport.integral_Iic_deriv_eq", "HasCompactSupport.integral_Ioi_deriv_eq", "HasCompactSupport.iteratedFDeriv", "HasCompactSupport.measurable_of_prod", "HasCompactSupport.mem\u2112p_of_bound", "HasCompactSupport.mul_left", "HasCompactSupport.mul_right", "HasCompactSupport.smul_left", "HasCompactSupport.smul_right", "HasCompactSupport.stronglyMeasurable_of_prod", "HasConstantSpeedOnWith.Icc_Icc", "HasConstantSpeedOnWith.hasLocallyBoundedVariationOn", "HasConstantSpeedOnWith.ratio", "HasConstantSpeedOnWith.union", "HasContinuousInv\u2080.of_nhds_one", "HasCountableSeparatingOn.mono", "HasCountableSeparatingOn.of_subtype", "HasCountableSeparatingOn.subtype_iff", "HasDerivAt.add", "HasDerivAt.add_const", "HasDerivAt.arctan", "HasDerivAt.arsinh", "HasDerivAt.ccos", "HasDerivAt.cexp", "HasDerivAt.clm_apply", "HasDerivAt.clm_comp", "HasDerivAt.clog", "HasDerivAt.clog_real", "HasDerivAt.comp", "HasDerivAt.comp_add_const", "HasDerivAt.comp_const_add", "HasDerivAt.comp_hasDerivWithinAt_of_eq", "HasDerivAt.comp_hasFDerivAt", "HasDerivAt.comp_hasFDerivWithinAt", "HasDerivAt.comp_ofReal", "HasDerivAt.comp_of_eq", "HasDerivAt.complexToReal_fderiv", "HasDerivAt.complexToReal_fderiv'", "HasDerivAt.const_add", "HasDerivAt.const_mul", "HasDerivAt.const_sub", "HasDerivAt.continuousAt", "HasDerivAt.continuousOn", "HasDerivAt.cpow", "HasDerivAt.cpow_const", "HasDerivAt.csin", "HasDerivAt.csinh", "HasDerivAt.deriv", "HasDerivAt.div", "HasDerivAt.div_const", "HasDerivAt.eventually_ne", "HasDerivAt.exp", "HasDerivAt.finset_prod", "HasDerivAt.hasDerivAtFilter", "HasDerivAt.hasDerivWithinAt", "HasDerivAt.hasFDerivAt_equiv", "HasDerivAt.hasGradientAt", "HasDerivAt.hasGradientAt'", "HasDerivAt.inner", "HasDerivAt.inv", "HasDerivAt.le_of_lip'", "HasDerivAt.le_of_lipschitzOn", "HasDerivAt.lhopital_zero_atBot", "HasDerivAt.lhopital_zero_atBot_on_Iio", "HasDerivAt.lhopital_zero_atTop", "HasDerivAt.lhopital_zero_atTop_on_Ioi", "HasDerivAt.lhopital_zero_left_on_Ioc", "HasDerivAt.lhopital_zero_left_on_Ioo", "HasDerivAt.lhopital_zero_nhds", "HasDerivAt.lhopital_zero_nhds'", "HasDerivAt.lhopital_zero_nhds_left", "HasDerivAt.lhopital_zero_nhds_right", "HasDerivAt.lhopital_zero_right_on_Ico", "HasDerivAt.lhopital_zero_right_on_Ioo", "HasDerivAt.log", "HasDerivAt.mul", "HasDerivAt.mul_const", "HasDerivAt.neg", "HasDerivAt.ofReal_comp", "HasDerivAt.pow", "HasDerivAt.prod", "HasDerivAt.real_of_complex", "HasDerivAt.rpow", "HasDerivAt.rpow_const", "HasDerivAt.scomp_hasDerivWithinAt_of_eq", "HasDerivAt.scomp_of_eq", "HasDerivAt.smul", "HasDerivAt.smul_const", "HasDerivAt.sqrt", "HasDerivAt.sub", "HasDerivAt.sub_const", "HasDerivAt.tendsto_punctured_nhds", "HasDerivAt.tendsto_slope_zero_right", "HasDerivAt.unique", "HasDerivAtFilter.comp", "HasDerivAtFilter.comp_hasFDerivAtFilter", "HasDerivAtFilter.comp_hasFDerivAtFilter_of_eq", "HasDerivAtFilter.const_smul", "HasDerivAtFilter.const_sub", "HasDerivAtFilter.hasGradientAtFilter", "HasDerivAtFilter.isBigO_sub", "HasDerivAtFilter.isBigO_sub_rev", "HasDerivAtFilter.neg", "HasDerivAtFilter.scomp", "HasDerivAtFilter.scomp_of_eq", "HasDerivAtFilter.star", "HasDerivAtFilter.sub", "HasDerivAtFilter.sub_const", "HasDerivAtFilter.sum", "HasDerivWithinAt.Ioi_iff_Ioo", "HasDerivWithinAt.add", "HasDerivWithinAt.add_const", "HasDerivWithinAt.arctan", "HasDerivWithinAt.arsinh", "HasDerivWithinAt.cexp", "HasDerivWithinAt.clm_apply", "HasDerivWithinAt.clm_comp", "HasDerivWithinAt.clog", "HasDerivWithinAt.clog_real", "HasDerivWithinAt.comp", "HasDerivWithinAt.comp_hasFDerivWithinAt", "HasDerivWithinAt.comp_hasFDerivWithinAt_of_eq", "HasDerivWithinAt.complexToReal_fderiv", "HasDerivWithinAt.complexToReal_fderiv'", "HasDerivWithinAt.congr", "HasDerivWithinAt.congr_of_eventuallyEq", "HasDerivWithinAt.congr_of_mem", "HasDerivWithinAt.const_add", "HasDerivWithinAt.const_cpow", "HasDerivWithinAt.const_mul", "HasDerivWithinAt.const_smul", "HasDerivWithinAt.const_sub", "HasDerivWithinAt.continuousWithinAt", "HasDerivWithinAt.cos", "HasDerivWithinAt.cpow_const", "HasDerivWithinAt.derivWithin", "HasDerivWithinAt.differentiableWithinAt", "HasDerivWithinAt.div", "HasDerivWithinAt.div_const", "HasDerivWithinAt.exp", "HasDerivWithinAt.finset_prod", "HasDerivWithinAt.hasDerivAt", "HasDerivWithinAt.hasFDerivWithinAt", "HasDerivWithinAt.inner", "HasDerivWithinAt.inv", "HasDerivWithinAt.liminf_right_norm_slope_le", "HasDerivWithinAt.liminf_right_slope_le", "HasDerivWithinAt.liminf_right_slope_norm_le", "HasDerivWithinAt.limsup_norm_slope_le", "HasDerivWithinAt.limsup_slope_le", "HasDerivWithinAt.limsup_slope_le'", "HasDerivWithinAt.limsup_slope_norm_le", "HasDerivWithinAt.log", "HasDerivWithinAt.mono", "HasDerivWithinAt.mono_of_mem", "HasDerivWithinAt.mul", "HasDerivWithinAt.mul_const", "HasDerivWithinAt.neg", "HasDerivWithinAt.norm_sq", "HasDerivWithinAt.pow", "HasDerivWithinAt.prod", "HasDerivWithinAt.rpow", "HasDerivWithinAt.rpow_const", "HasDerivWithinAt.scomp", "HasDerivWithinAt.scomp_hasDerivAt", "HasDerivWithinAt.scomp_hasDerivAt_of_eq", "HasDerivWithinAt.sinh", "HasDerivWithinAt.smul_const", "HasDerivWithinAt.sqrt", "HasDerivWithinAt.star", "HasDerivWithinAt.sub", "HasDerivWithinAt.sub_const", "HasDerivWithinAt.union", "HasFDerivAt.add", "HasFDerivAt.add_const", "HasFDerivAt.arctan", "HasFDerivAt.ccos", "HasFDerivAt.ccosh", "HasFDerivAt.cexp", "HasFDerivAt.clm_apply", "HasFDerivAt.clm_comp", "HasFDerivAt.clog", "HasFDerivAt.comp", "HasFDerivAt.comp_hasDerivAt", "HasFDerivAt.comp_hasDerivWithinAt", "HasFDerivAt.comp_hasDerivWithinAt_of_eq", "HasFDerivAt.congr_fderiv", "HasFDerivAt.congr_of_eventuallyEq", "HasFDerivAt.const_add", "HasFDerivAt.const_cpow", "HasFDerivAt.const_mul", "HasFDerivAt.const_rpow", "HasFDerivAt.const_smul", "HasFDerivAt.const_sub", "HasFDerivAt.continuousAt", "HasFDerivAt.cos", "HasFDerivAt.csinh", "HasFDerivAt.differentiableAt", "HasFDerivAt.eventually_ne", "HasFDerivAt.finset_prod", "HasFDerivAt.fst", "HasFDerivAt.hasDerivAt", "HasFDerivAt.hasFDerivAtFilter", "HasFDerivAt.hasFDerivWithinAt", "HasFDerivAt.hasLineDerivAt", "HasFDerivAt.inner", "HasFDerivAt.isBigO_sub", "HasFDerivAt.le_of_lip'", "HasFDerivAt.le_of_lipschitzOn", "HasFDerivAt.lim", "HasFDerivAt.lim_real", "HasFDerivAt.list_prod'", "HasFDerivAt.mul", "HasFDerivAt.mul'", "HasFDerivAt.mul_const'", "HasFDerivAt.multiset_prod", "HasFDerivAt.neg", "HasFDerivAt.of_local_left_inverse", "HasFDerivAt.rpow", "HasFDerivAt.rpow_const", "HasFDerivAt.sin", "HasFDerivAt.sinh", "HasFDerivAt.smul", "HasFDerivAt.smul_const", "HasFDerivAt.sqrt", "HasFDerivAt.sub", "HasFDerivAt.sub_const", "HasFDerivAt.sum", "HasFDerivAt.unique", "HasFDerivAtFilter.add", "HasFDerivAtFilter.add_const", "HasFDerivAtFilter.comp", "HasFDerivAtFilter.congr_of_eventuallyEq", "HasFDerivAtFilter.const_add", "HasFDerivAtFilter.const_smul", "HasFDerivAtFilter.const_sub", "HasFDerivAtFilter.fst", "HasFDerivAtFilter.isBigO_sub", "HasFDerivAtFilter.iterate", "HasFDerivAtFilter.mono", "HasFDerivAtFilter.neg", "HasFDerivAtFilter.prod", "HasFDerivAtFilter.restrictScalars", "HasFDerivAtFilter.snd", "HasFDerivAtFilter.star", "HasFDerivAtFilter.sub", "HasFDerivAtFilter.sub_const", "HasFDerivAtFilter.sum", "HasFDerivAtFilter.tendsto_nhds", "HasFDerivWithinAt.add", "HasFDerivWithinAt.add_const", "HasFDerivWithinAt.arsinh", "HasFDerivWithinAt.ccosh", "HasFDerivWithinAt.cexp", "HasFDerivWithinAt.clm_apply", "HasFDerivWithinAt.clm_comp", "HasFDerivWithinAt.comp", "HasFDerivWithinAt.comp_of_mem", "HasFDerivWithinAt.congr", "HasFDerivWithinAt.congr'", "HasFDerivWithinAt.congr_mono", "HasFDerivWithinAt.congr_of_eventuallyEq", "HasFDerivWithinAt.const_mul", "HasFDerivWithinAt.const_smul", "HasFDerivWithinAt.cosh", "HasFDerivWithinAt.csinh", "HasFDerivWithinAt.differentiableWithinAt", "HasFDerivWithinAt.eventually_ne", "HasFDerivWithinAt.exp", "HasFDerivWithinAt.fderivWithin", "HasFDerivWithinAt.finset_prod", "HasFDerivWithinAt.fst", "HasFDerivWithinAt.hasDerivWithinAt", "HasFDerivWithinAt.hasFDerivAt", "HasFDerivWithinAt.hasLineDerivWithinAt", "HasFDerivWithinAt.inner", "HasFDerivWithinAt.isBigO_sub", "HasFDerivWithinAt.iterate", "HasFDerivWithinAt.lim", "HasFDerivWithinAt.list_prod'", "HasFDerivWithinAt.log", "HasFDerivWithinAt.mapsTo_tangent_cone", "HasFDerivWithinAt.mono", "HasFDerivWithinAt.mono_of_mem", "HasFDerivWithinAt.mul'", "HasFDerivWithinAt.mul_const'", "HasFDerivWithinAt.multiset_prod", "HasFDerivWithinAt.neg", "HasFDerivWithinAt.norm_sq", "HasFDerivWithinAt.of_nhdsWithin_eq_bot", "HasFDerivWithinAt.of_not_mem_tsupport", "HasFDerivWithinAt.prod", "HasFDerivWithinAt.restrictScalars", "HasFDerivWithinAt.rpow", "HasFDerivWithinAt.sin", "HasFDerivWithinAt.smul", "HasFDerivWithinAt.smul_const", "HasFDerivWithinAt.sqrt", "HasFDerivWithinAt.star", "HasFDerivWithinAt.sub", "HasFDerivWithinAt.sum", "HasFDerivWithinAt.union", "HasFDerivWithinAt.uniqueDiffWithinAt", "HasFDerivWithinAt.unique_on", "HasFPowerSeriesAt.apply_eq_zero", "HasFPowerSeriesAt.coeff_zero", "HasFPowerSeriesAt.comp", "HasFPowerSeriesAt.congr", "HasFPowerSeriesAt.continuousAt", "HasFPowerSeriesAt.deriv", "HasFPowerSeriesAt.eq_formalMultilinearSeries", "HasFPowerSeriesAt.eq_pow_order_mul_iterate_dslope", "HasFPowerSeriesAt.eq_zero_of_eventually", "HasFPowerSeriesAt.eventually", "HasFPowerSeriesAt.eventually_eq_zero", "HasFPowerSeriesAt.eventually_hasSum_sub", "HasFPowerSeriesAt.fderiv_eq", "HasFPowerSeriesAt.hasFDerivAt", "HasFPowerSeriesAt.hasStrictDerivAt", "HasFPowerSeriesAt.hasStrictFDerivAt", "HasFPowerSeriesAt.has_fpower_series_dslope_fslope", "HasFPowerSeriesAt.has_fpower_series_iterate_dslope_fslope", "HasFPowerSeriesAt.isBigO_image_sub_norm_mul_norm_sub", "HasFPowerSeriesAt.isBigO_sub_partialSum_pow", "HasFPowerSeriesAt.iterate_dslope_fslope_ne_zero", "HasFPowerSeriesAt.locally_ne_zero", "HasFPowerSeriesAt.neg", "HasFPowerSeriesAt.prod", "HasFPowerSeriesAt.radius_pos", "HasFPowerSeriesAt.sub", "HasFPowerSeriesOnBall.add", "HasFPowerSeriesOnBall.analyticAt", "HasFPowerSeriesOnBall.analyticAt_of_mem", "HasFPowerSeriesOnBall.changeOrigin", "HasFPowerSeriesOnBall.coeff_zero", "HasFPowerSeriesOnBall.comp_sub", "HasFPowerSeriesOnBall.congr", "HasFPowerSeriesOnBall.continuousOn", "HasFPowerSeriesOnBall.differentiableOn", "HasFPowerSeriesOnBall.eventually_eq_zero", "HasFPowerSeriesOnBall.eventually_hasSum", "HasFPowerSeriesOnBall.factorial_smul", "HasFPowerSeriesOnBall.factorial_smul'", "HasFPowerSeriesOnBall.fderiv", "HasFPowerSeriesOnBall.fderiv_eq", "HasFPowerSeriesOnBall.hasFDerivAt", "HasFPowerSeriesOnBall.hasSum_iteratedFDeriv", "HasFPowerSeriesOnBall.hasSum_sub", "HasFPowerSeriesOnBall.image_sub_sub_deriv_le", "HasFPowerSeriesOnBall.isBigO_image_sub_image_sub_deriv_principal", "HasFPowerSeriesOnBall.iteratedFDeriv_zero_apply_diag", "HasFPowerSeriesOnBall.mono", "HasFPowerSeriesOnBall.prod", "HasFPowerSeriesOnBall.radius_pos", "HasFPowerSeriesOnBall.sub", "HasFPowerSeriesOnBall.sum", "HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn", "HasFPowerSeriesOnBall.tendstoLocallyUniformlyOn'", "HasFPowerSeriesOnBall.tendstoUniformlyOn", "HasFPowerSeriesOnBall.tendstoUniformlyOn'", "HasFPowerSeriesOnBall.uniform_geometric_approx", "HasFPowerSeriesOnBall.uniform_geometric_approx'", "HasFTaylorSeriesUpTo.contDiff", "HasFTaylorSeriesUpTo.continuous", "HasFTaylorSeriesUpTo.differentiable", "HasFTaylorSeriesUpTo.eq_iteratedFDeriv", "HasFTaylorSeriesUpTo.hasFDerivAt", "HasFTaylorSeriesUpTo.hasFTaylorSeriesUpToOn", "HasFTaylorSeriesUpTo.ofLe", "HasFTaylorSeriesUpToOn.add", "HasFTaylorSeriesUpToOn.compContinuousLinearMap", "HasFTaylorSeriesUpToOn.congr", "HasFTaylorSeriesUpToOn.contDiffOn", "HasFTaylorSeriesUpToOn.continuousLinearMap_comp", "HasFTaylorSeriesUpToOn.continuousOn", "HasFTaylorSeriesUpToOn.differentiableAt", "HasFTaylorSeriesUpToOn.differentiableOn", "HasFTaylorSeriesUpToOn.eq_iteratedFDerivWithin_of_uniqueDiffOn", "HasFTaylorSeriesUpToOn.eventually_hasFDerivAt", "HasFTaylorSeriesUpToOn.exists_lipschitzOnWith", "HasFTaylorSeriesUpToOn.exists_lipschitzOnWith_of_nnnorm_lt", "HasFTaylorSeriesUpToOn.hasFDerivWithinAt", "HasFTaylorSeriesUpToOn.hasStrictFDerivAt", "HasFTaylorSeriesUpToOn.mono", "HasFTaylorSeriesUpToOn.of_le", "HasFTaylorSeriesUpToOn.prod", "HasFTaylorSeriesUpToOn.shift_of_succ", "HasFiniteFPowerSeriesAt.add", "HasFiniteFPowerSeriesAt.cPolynomialAt", "HasFiniteFPowerSeriesAt.congr", "HasFiniteFPowerSeriesAt.eventually", "HasFiniteFPowerSeriesAt.eventually_zero_of_bound_zero", "HasFiniteFPowerSeriesAt.neg", "HasFiniteFPowerSeriesAt.sub", "HasFiniteFPowerSeriesAt.toHasFPowerSeriesAt", "HasFiniteFPowerSeriesOnBall.add", "HasFiniteFPowerSeriesOnBall.bound_zero_of_eq_zero", "HasFiniteFPowerSeriesOnBall.cPolynomialAt", "HasFiniteFPowerSeriesOnBall.cPolynomialAt_of_mem", "HasFiniteFPowerSeriesOnBall.cPolynomialOn", "HasFiniteFPowerSeriesOnBall.changeOrigin", "HasFiniteFPowerSeriesOnBall.comp_sub", "HasFiniteFPowerSeriesOnBall.congr", "HasFiniteFPowerSeriesOnBall.continuousOn", "HasFiniteFPowerSeriesOnBall.differentiableOn", "HasFiniteFPowerSeriesOnBall.eq_const_of_bound_one", "HasFiniteFPowerSeriesOnBall.eq_partialSum", "HasFiniteFPowerSeriesOnBall.eq_partialSum'", "HasFiniteFPowerSeriesOnBall.eq_zero_of_bound_zero", "HasFiniteFPowerSeriesOnBall.fderiv", "HasFiniteFPowerSeriesOnBall.fderiv'", "HasFiniteFPowerSeriesOnBall.hasFDerivAt", "HasFiniteFPowerSeriesOnBall.hasFiniteFPowerSeriesAt", "HasFiniteFPowerSeriesOnBall.mk'", "HasFiniteFPowerSeriesOnBall.neg", "HasFiniteFPowerSeriesOnBall.sub", "HasFiniteFPowerSeriesOnBall.sum", "HasGradientAt.continuousAt", "HasGradientAt.gradient", "HasGradientAt.hasDerivAt", "HasGradientAtFilter.congr_of_eventuallyEq", "HasGradientAtFilter.hasDerivAtFilter", "HasGradientAtFilter.hasDerivAtFilter'", "HasGradientAtFilter.isBigO_sub", "HasGradientAtFilter.tendsto_nhds", "HasGradientWithinAt.congr_mono", "HasGradientWithinAt.congr_of_eventuallyEq_of_mem", "HasGradientWithinAt.congr_of_mem", "HasLineDerivAt.congr_of_eventuallyEq", "HasLineDerivAt.hasLineDerivWithinAt", "HasLineDerivAt.le_of_lip'", "HasLineDerivAt.le_of_lipschitz", "HasLineDerivAt.le_of_lipschitzOn", "HasLineDerivAt.lineDeriv", "HasLineDerivAt.of_comp", "HasLineDerivAt.smul", "HasLineDerivAt.tendsto_slope_zero_left", "HasLineDerivAt.unique", "HasLineDerivWithinAt.congr", "HasLineDerivWithinAt.congr_mono", "HasLineDerivWithinAt.congr_of_eventuallyEq", "HasLineDerivWithinAt.hasLineDerivAt", "HasLineDerivWithinAt.lineDifferentiableWithinAt", "HasLineDerivWithinAt.mono", "HasLineDerivWithinAt.mono_of_mem", "HasLineDerivWithinAt.smul", "HasMFDerivAt.comp", "HasMFDerivAt.comp_hasMFDerivWithinAt", "HasMFDerivAt.congr_of_eventuallyEq", "HasMFDerivAt.const_smul", "HasMFDerivAt.hasMFDerivWithinAt", "HasMFDerivAt.mdifferentiableAt", "HasMFDerivAt.mul'", "HasMFDerivAt.neg", "HasMFDerivAt.sub", "HasMFDerivWithinAt.comp", "HasMFDerivWithinAt.congr_mfderiv", "HasMFDerivWithinAt.congr_mono", "HasMFDerivWithinAt.congr_of_eventuallyEq", "HasMFDerivWithinAt.continuousWithinAt", "HasMFDerivWithinAt.hasMFDerivAt", "HasMFDerivWithinAt.mfderivWithin", "HasMFDerivWithinAt.mul", "HasMFDerivWithinAt.mul'", "HasMFDerivWithinAt.union", "HasOuterApproxClosed.apprSeq_apply_eq_one", "HasOuterApproxClosed.apprSeq_apply_le_one", "HasOuterApproxClosed.indicator_le_apprSeq", "HasOuterApproxClosed.measure_le_lintegral", "HasProd.Multipliable.tendsto_prod_tprod_nat", "HasProd.congr_fun", "HasProd.div", "HasProd.even_mul_odd", "HasProd.hasProd_compl_iff", "HasProd.hasProd_iff_compl", "HasProd.hasProd_of_prod_eq", "HasProd.int_rec", "HasProd.map", "HasProd.mul", "HasProd.mul_compl", "HasProd.mul_isCompl", "HasProd.multipliable", "HasProd.nat_mul_neg", "HasProd.nat_mul_neg_add_one", "HasProd.of_nat_of_neg", "HasProd.of_nat_of_neg_add_one", "HasProd.one_le", "HasProd.prod_fiberwise", "HasProd.prod_mk", "HasProd.prod_range_mul", "HasProd.sigma", "HasProd.sigma_of_hasProd", "HasProd.tendsto_prod_nat", "HasProd.tprod_eq", "HasProd.tprod_fiberwise", "HasProd.unique", "HasProd.update", "HasProd.update'", "HasProd.zero_mul", "HasStrictDerivAt.add", "HasStrictDerivAt.arsinh", "HasStrictDerivAt.ccosh", "HasStrictDerivAt.cexp", "HasStrictDerivAt.clm_apply", "HasStrictDerivAt.clm_comp", "HasStrictDerivAt.clog", "HasStrictDerivAt.clog_real", "HasStrictDerivAt.comp", "HasStrictDerivAt.comp_hasStrictFDerivAt", "HasStrictDerivAt.comp_hasStrictFDerivAt_of_eq", "HasStrictDerivAt.comp_of_eq", "HasStrictDerivAt.complexToReal_fderiv", "HasStrictDerivAt.complexToReal_fderiv'", "HasStrictDerivAt.const_add", "HasStrictDerivAt.const_mul", "HasStrictDerivAt.const_smul", "HasStrictDerivAt.const_sub", "HasStrictDerivAt.csin", "HasStrictDerivAt.csinh", "HasStrictDerivAt.div", "HasStrictDerivAt.div_const", "HasStrictDerivAt.finset_prod", "HasStrictDerivAt.iterate", "HasStrictDerivAt.log", "HasStrictDerivAt.mul", "HasStrictDerivAt.mul_const", "HasStrictDerivAt.neg", "HasStrictDerivAt.prod", "HasStrictDerivAt.real_of_complex", "HasStrictDerivAt.rpow", "HasStrictDerivAt.scomp", "HasStrictDerivAt.scomp_of_eq", "HasStrictDerivAt.smul", "HasStrictDerivAt.smul_const", "HasStrictDerivAt.sqrt", "HasStrictDerivAt.star", "HasStrictDerivAt.sub", "HasStrictDerivAt.sum", "HasStrictDerivAt.to_localInverse", "HasStrictDerivAt.to_local_left_inverse", "HasStrictFDerivAt.add", "HasStrictFDerivAt.add_const", "HasStrictFDerivAt.approximates_deriv_on_nhds", "HasStrictFDerivAt.approximates_deriv_on_open_nhds", "HasStrictFDerivAt.arsinh", "HasStrictFDerivAt.ccosh", "HasStrictFDerivAt.cexp", "HasStrictFDerivAt.clog", "HasStrictFDerivAt.comp", "HasStrictFDerivAt.comp_hasStrictDerivAt", "HasStrictFDerivAt.comp_hasStrictDerivAt_of_eq", "HasStrictFDerivAt.congr_fderiv", "HasStrictFDerivAt.congr_of_eventuallyEq", "HasStrictFDerivAt.const_add", "HasStrictFDerivAt.const_cpow", "HasStrictFDerivAt.const_mul", "HasStrictFDerivAt.const_sub", "HasStrictFDerivAt.continuousAt", "HasStrictFDerivAt.continuousMultilinear_apply_const", "HasStrictFDerivAt.cos", "HasStrictFDerivAt.cosh", "HasStrictFDerivAt.cpow", "HasStrictFDerivAt.differentiableAt", "HasStrictFDerivAt.eq_implicitFunctionOfComplemented", "HasStrictFDerivAt.eventually_left_inverse", "HasStrictFDerivAt.exists_lipschitzOnWith", "HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt", "HasStrictFDerivAt.finset_prod", "HasStrictFDerivAt.fst", "HasStrictFDerivAt.hasFDerivAt", "HasStrictFDerivAt.hasStrictDerivAt", "HasStrictFDerivAt.implicitFunctionOfComplemented_apply_image", "HasStrictFDerivAt.implicitFunction_apply_image", "HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_apply", "HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_apply_ker", "HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_fst", "HasStrictFDerivAt.implicitToPartialHomeomorphOfComplemented_self", "HasStrictFDerivAt.implicitToPartialHomeomorph_apply_ker", "HasStrictFDerivAt.implicitToPartialHomeomorph_fst", "HasStrictFDerivAt.implicitToPartialHomeomorph_self", "HasStrictFDerivAt.inner", "HasStrictFDerivAt.isBigO_sub_rev", "HasStrictFDerivAt.iterate", "HasStrictFDerivAt.list_prod'", "HasStrictFDerivAt.localInverse_apply_image", "HasStrictFDerivAt.localInverse_continuousAt", "HasStrictFDerivAt.log", "HasStrictFDerivAt.map_implicitFunctionOfComplemented_eq", "HasStrictFDerivAt.map_implicitFunction_eq", "HasStrictFDerivAt.map_nhds_eq_of_surj", "HasStrictFDerivAt.mem_implicitToPartialHomeomorphOfComplemented_source", "HasStrictFDerivAt.mem_implicitToPartialHomeomorphOfComplemented_target", "HasStrictFDerivAt.mem_implicitToPartialHomeomorph_source", "HasStrictFDerivAt.mem_implicitToPartialHomeomorph_target", "HasStrictFDerivAt.mem_toPartialHomeomorph_source", "HasStrictFDerivAt.mul", "HasStrictFDerivAt.mul_const", "HasStrictFDerivAt.multiset_prod", "HasStrictFDerivAt.neg", "HasStrictFDerivAt.of_local_left_inverse", "HasStrictFDerivAt.of_nmem_tsupport", "HasStrictFDerivAt.prod", "HasStrictFDerivAt.prodMap", "HasStrictFDerivAt.rpow_const", "HasStrictFDerivAt.sin", "HasStrictFDerivAt.sinh", "HasStrictFDerivAt.smul_const", "HasStrictFDerivAt.sqrt", "HasStrictFDerivAt.sub", "HasStrictFDerivAt.sub_const", "HasStrictFDerivAt.sum", "HasStrictFDerivAt.tendsto_implicitFunction", "HasStrictFDerivAt.toPartialHomeomorph_coe", "HasStrictFDerivAt.to_implicitFunction", "HasStrictFDerivAt.to_implicitFunctionOfComplemented", "HasStrictFDerivAt.to_localInverse", "HasSubset.Subset.eventuallyLE", "HasSum.const_smul", "HasSum.div_const", "HasSum.exists_hasSum_smul_of_apply_eq_zero", "HasSum.hasSum_at_zero", "HasSum.matrix_blockDiag", "HasSum.matrix_blockDiag'", "HasSum.matrix_blockDiagonal", "HasSum.matrix_diag", "HasSum.matrix_diagonal", "HasSum.matrix_transpose", "HasSum.mul", "HasSum.mul_eq", "HasSum.mul_left", "HasSum.mul_right", "HasSum.norm_le_of_bounded", "HasSum.rexp", "HasSum.smul", "HasSum.smul_const", "HasSum.star", "HasSum.toNNReal", "HasSum.unop", "HasUnitSpeedOn.Icc_Icc", "Hausdorffification.lift_comp_of", "Hausdorffification.lift_eq", "Hausdorffification.lift_of", "HenselianLocalRing.TFAE", "HereditarilyLindelof_LindelofSets", "HeytAlg.coe_of", "Heyting.IsRegular.disjoint_compl_left_iff", "Heyting.IsRegular.disjoint_compl_right_iff", "Heyting.IsRegular.eq", "Heyting.IsRegular.himp", "Heyting.IsRegular.inf", "Heyting.Regular.coe_bot", "Heyting.Regular.coe_compl", "Heyting.Regular.coe_inf", "Heyting.Regular.coe_inj", "Heyting.Regular.coe_le_coe", "Heyting.Regular.coe_lt_coe", "Heyting.Regular.coe_sdiff", "Heyting.Regular.coe_sup", "Heyting.Regular.coe_toRegular", "Heyting.Regular.coe_top", "Heyting.Regular.prop", "Heyting.Regular.toRegular_coe", "Heyting.isRegular_bot", "Heyting.isRegular_of_decidable", "Heyting.isRegular_top", "HeytingHom.cancel_left", "HeytingHom.cancel_right", "HeytingHom.coe_comp", "HeytingHom.coe_id", "HeytingHom.copy_eq", "HeytingHom.ext", "HeytingHom.id_apply", "HeytingHom.id_comp", "HeytingHom.toFun_eq_coe", "HeytingHom.toFun_eq_coe_aux", "HilbertBasis.coe_mk", "HilbertBasis.coe_mkOfOrthogonalEqBot", "HilbertBasis.coe_toOrthonormalBasis", "HilbertBasis.dense_span", "HilbertBasis.finite_spans_dense", "HilbertBasis.hasSum_inner_mul_inner", "HilbertBasis.hasSum_orthogonalProjection", "HilbertBasis.hasSum_repr", "HilbertBasis.hasSum_repr_symm", "HilbertBasis.orthonormal", "HilbertBasis.repr_apply_apply", "HilbertBasis.repr_self", "HilbertBasis.repr_symm_single", "HilbertBasis.summable_inner_mul_inner", "Hindman.FP.finset_prod", "Hindman.FP.mul", "Hindman.FP.mul_two", "Hindman.FP.singleton", "Hindman.FP_drop_subset_FP", "Hindman.exists_FP_of_large", "Hindman.exists_idempotent_ultrafilter_le_FP", "HolderOnWith.comp", "HolderOnWith.dimH_image_le", "HolderOnWith.ediam_image_le", "HolderOnWith.ediam_image_le_of_le", "HolderOnWith.ediam_image_le_of_subset", "HolderOnWith.ediam_image_le_of_subset_of_le", "HolderOnWith.edist_le", "HolderOnWith.edist_le_of_le", "HolderOnWith.hausdorffMeasure_image_le", "HolderOnWith.mono", "HolderOnWith.uniformContinuousOn", "HolderWith.comp", "HolderWith.dist_le", "HolderWith.dist_le_of_le", "HolderWith.edist_le", "HolderWith.holderOnWith", "HolderWith.nndist_le", "HolderWith.nndist_le_of_le", "HolderWith.uniformContinuous", "Holor.cprankMax_1", "Holor.cprankMax_add", "Holor.cprankMax_mul", "Holor.cprankMax_nil", "Holor.cprankMax_sum", "Holor.cprankMax_upper_bound", "Holor.cprank_upper_bound", "Holor.mul_assoc", "Holor.mul_assoc0", "Holor.mul_scalar_mul", "Holor.mul_zero", "Holor.slice_eq", "Holor.slice_sum", "Holor.slice_unitVec_mul", "Holor.slice_zero", "Holor.sum_unitVec_mul_slice", "Holor.zero_mul", "HolorIndex.cast_type", "HolorIndex.drop_drop", "HolorIndex.drop_take", "HolorIndex.take_take", "Homeomorph.apply_symm_apply", "Homeomorph.closedEmbedding", "Homeomorph.coe_inv", "Homeomorph.coe_mulLeft", "Homeomorph.coe_mulLeft\u2080", "Homeomorph.coe_mulRight\u2080", "Homeomorph.coe_prodCongr", "Homeomorph.coe_punitProd", "Homeomorph.coe_symm_toEquiv", "Homeomorph.coe_toHomotopyEquiv", "Homeomorph.coe_trans", "Homeomorph.coinduced_eq", "Homeomorph.comap_cocompact", "Homeomorph.comap_nhds_eq", "Homeomorph.comp_continuousAt_iff", "Homeomorph.comp_continuousAt_iff'", "Homeomorph.comp_continuousOn_iff", "Homeomorph.comp_continuousWithinAt_iff", "Homeomorph.comp_continuous_iff", "Homeomorph.comp_continuous_iff'", "Homeomorph.comp_isOpenMap_iff", "Homeomorph.comp_isOpenMap_iff'", "Homeomorph.compactSpace", "Homeomorph.contDiff_symm", "Homeomorph.contDiff_symm_deriv", "Homeomorph.contDiff_unitBall", "Homeomorph.continuous", "Homeomorph.continuous_symm", "Homeomorph.contractibleSpace", "Homeomorph.contractibleSpace_iff", "Homeomorph.denseEmbedding", "Homeomorph.homeomorph_mk_coe", "Homeomorph.homeomorph_mk_coe_symm", "Homeomorph.image_closure", "Homeomorph.image_connectedComponentIn", "Homeomorph.image_interior", "Homeomorph.image_preimage", "Homeomorph.image_symm", "Homeomorph.induced_eq", "Homeomorph.injective", "Homeomorph.isBigOWith_congr", "Homeomorph.isBigO_congr", "Homeomorph.isClosedMap", "Homeomorph.isClosed_preimage", "Homeomorph.isConnected_image", "Homeomorph.isConnected_preimage", "Homeomorph.isLittleO_congr", "Homeomorph.isLocalHomeomorph", "Homeomorph.isOpen_image", "Homeomorph.isOpen_preimage", "Homeomorph.isPathConnected_preimage", "Homeomorph.isPreconnected_preimage", "Homeomorph.isSigmaCompact_image", "Homeomorph.isSigmaCompact_preimage", "Homeomorph.locallyCompactSpace_iff", "Homeomorph.locallyConnectedSpace", "Homeomorph.map_cocompact", "Homeomorph.map_nhds_eq", "Homeomorph.measurable", "Homeomorph.measurableEmbedding", "Homeomorph.mulLeft_symm", "Homeomorph.mulLeft\u2080_symm_apply", "Homeomorph.mulRight_symm", "Homeomorph.nhds_eq_comap", "Homeomorph.openEmbedding", "Homeomorph.paracompactSpace_iff", "Homeomorph.preimage_closure", "Homeomorph.preimage_frontier", "Homeomorph.preimage_interior", "Homeomorph.preimage_symm", "Homeomorph.quotientMap", "Homeomorph.range_coe", "Homeomorph.refl_symm", "Homeomorph.refl_toHomotopyEquiv", "Homeomorph.refl_toPartialHomeomorph", "Homeomorph.secondCountableTopology", "Homeomorph.self_comp_symm", "Homeomorph.self_trans_symm", "Homeomorph.smulOfNeZero_symm_apply", "Homeomorph.subtype_toEquiv", "Homeomorph.symm_apply_apply", "Homeomorph.symm_bijective", "Homeomorph.symm_comp_toContinuousMap", "Homeomorph.symm_symm", "Homeomorph.symm_toHomotopyEquiv", "Homeomorph.symm_trans_apply", "Homeomorph.symm_trans_self", "Homeomorph.t0Space", "Homeomorph.t1Space", "Homeomorph.t3Space", "Homeomorph.t4Space", "Homeomorph.toContinuousMap_comp_symm", "Homeomorph.toEquiv_injective", "Homeomorph.toMeasurableEquiv_coe", "Homeomorph.toMeasurableEquiv_symm_coe", "Homeomorph.transPartialHomeomorph_eq_trans", "Homeomorph.transPartialHomeomorph_trans", "Homeomorph.trans_apply", "Homeomorph.trans_toHomotopyEquiv", "Homeomorph.trans_toPartialHomeomorph", "Homeomorph.trans_transPartialHomeomorph", "HomogeneousIdeal.coe_bot", "HomogeneousIdeal.coe_radical", "HomogeneousIdeal.coe_top", "HomogeneousIdeal.eq_bot_iff", "HomogeneousIdeal.eq_top_iff", "HomogeneousIdeal.ext", "HomogeneousIdeal.ext'", "HomogeneousIdeal.homogeneousHull_toIdeal_eq_self", "HomogeneousIdeal.mem_iff", "HomogeneousIdeal.mem_irrelevant_iff", "HomogeneousIdeal.toIdeal_iInf", "HomogeneousIdeal.toIdeal_iInf\u2082", "HomogeneousIdeal.toIdeal_iSup", "HomogeneousIdeal.toIdeal_inf", "HomogeneousIdeal.toIdeal_injective", "HomogeneousIdeal.toIdeal_mul", "HomogeneousIdeal.toIdeal_sInf", "HomogeneousIdeal.toIdeal_sSup", "HomogeneousIdeal.toIdeal_top", "HomogeneousLocalization.Away.eventually_smul_mem", "HomogeneousLocalization.NumDenSameDeg.deg_add", "HomogeneousLocalization.NumDenSameDeg.deg_one", "HomogeneousLocalization.NumDenSameDeg.deg_pow", "HomogeneousLocalization.NumDenSameDeg.deg_smul", "HomogeneousLocalization.NumDenSameDeg.den_add", "HomogeneousLocalization.NumDenSameDeg.den_mul", "HomogeneousLocalization.NumDenSameDeg.den_neg", "HomogeneousLocalization.NumDenSameDeg.den_one", "HomogeneousLocalization.NumDenSameDeg.den_zero", "HomogeneousLocalization.NumDenSameDeg.ext", "HomogeneousLocalization.NumDenSameDeg.num_mul", "HomogeneousLocalization.NumDenSameDeg.num_neg", "HomogeneousLocalization.NumDenSameDeg.num_one", "HomogeneousLocalization.NumDenSameDeg.num_pow", "HomogeneousLocalization.NumDenSameDeg.num_smul", "HomogeneousLocalization.NumDenSameDeg.num_zero", "HomogeneousLocalization.algebraMap_apply", "HomogeneousLocalization.den_mem", "HomogeneousLocalization.den_mem_deg", "HomogeneousLocalization.den_smul_val", "HomogeneousLocalization.ext_iff_val", "HomogeneousLocalization.isUnit_iff_isUnit_val", "HomogeneousLocalization.map_mk", "HomogeneousLocalization.mk_add", "HomogeneousLocalization.mk_eq_zero_of_den", "HomogeneousLocalization.mk_eq_zero_of_num", "HomogeneousLocalization.mk_mul", "HomogeneousLocalization.mk_neg", "HomogeneousLocalization.mk_one", "HomogeneousLocalization.mk_pow", "HomogeneousLocalization.mk_smul", "HomogeneousLocalization.mk_surjective", "HomogeneousLocalization.mk_zero", "HomogeneousLocalization.num_mem_deg", "HomogeneousLocalization.one_eq", "HomogeneousLocalization.subsingleton", "HomogeneousLocalization.val_add", "HomogeneousLocalization.val_injective", "HomogeneousLocalization.val_intCast", "HomogeneousLocalization.val_mk", "HomogeneousLocalization.val_mul", "HomogeneousLocalization.val_natCast", "HomogeneousLocalization.val_neg", "HomogeneousLocalization.val_one", "HomogeneousLocalization.val_pow", "HomogeneousLocalization.val_smul", "HomogeneousLocalization.val_sub", "HomogeneousLocalization.zero_eq", "HomologicalComplex.Hom.comm", "HomologicalComplex.Hom.comm_to", "HomologicalComplex.Hom.fromSingle\u2080KernelAtZeroIso_inv_eq", "HomologicalComplex.Hom.from_single\u2080_exact_at_succ", "HomologicalComplex.Hom.from_single\u2080_exact_f_d_at_zero", "HomologicalComplex.Hom.from_single\u2080_mono_at_zero", "HomologicalComplex.Hom.isoOfComponents_app", "HomologicalComplex.Hom.next_eq", "HomologicalComplex.Hom.prev_eq", "HomologicalComplex.Hom.sqFrom_comp", "HomologicalComplex.Hom.sqFrom_id", "HomologicalComplex.Hom.sqFrom_left", "HomologicalComplex.Hom.sqFrom_right", "HomologicalComplex.Hom.sqTo_left", "HomologicalComplex.Hom.sqTo_right", "HomologicalComplex.Hom.toSingle\u2080CokernelAtZeroIso_hom_eq", "HomologicalComplex.Hom.to_single\u2080_epi_at_zero", "HomologicalComplex.Hom.to_single\u2080_exact_at_succ", "HomologicalComplex.Hom.to_single\u2080_exact_d_f_at_zero", "HomologicalComplex.HomologySequence.composableArrows\u2082_exact", "HomologicalComplex.HomologySequence.composableArrows\u2083_exact", "HomologicalComplex.HomologySequence.composableArrows\u2085_exact", "HomologicalComplex.HomologySequence.epi_homologyMap_\u03c4\u2083", "HomologicalComplex.HomologySequence.isIso_homologyMap_\u03c4\u2083", "HomologicalComplex.HomologySequence.mono_homologyMap_\u03c4\u2083", "HomologicalComplex.HomologySequence.quasiIso_\u03c4\u2083", "HomologicalComplex.XIsoOfEq_hom_comp_XIsoOfEq_hom", "HomologicalComplex.XIsoOfEq_hom_comp_XIsoOfEq_inv", "HomologicalComplex.XIsoOfEq_inv_comp_XIsoOfEq_hom", "HomologicalComplex.XIsoOfEq_inv_comp_XIsoOfEq_inv", "HomologicalComplex.XIsoOfEq_inv_naturality", "HomologicalComplex.XIsoOfEq_rfl", "HomologicalComplex.add_f_apply", "HomologicalComplex.biprodXIso_hom_fst", "HomologicalComplex.biprodXIso_hom_snd", "HomologicalComplex.biprod_inl_desc_f", "HomologicalComplex.biprod_inl_fst_f", "HomologicalComplex.biprod_inl_snd_f", "HomologicalComplex.biprod_inr_desc_f", "HomologicalComplex.biprod_inr_fst_f", "HomologicalComplex.biprod_inr_snd_f", "HomologicalComplex.biprod_lift_fst_f", "HomologicalComplex.biprod_lift_snd_f", "HomologicalComplex.boundaries_eq_bot", "HomologicalComplex.boundaries_eq_imageSubobject", "HomologicalComplex.comp_f", "HomologicalComplex.comp_liftCycles", "HomologicalComplex.congr_hom", "HomologicalComplex.cycles'_eq_kernelSubobject", "HomologicalComplex.cyclesIsoSc'_hom_iCycles", "HomologicalComplex.cyclesIsoSc'_inv_iCycles", "HomologicalComplex.cyclesMap_comp", "HomologicalComplex.cyclesMap_i", "HomologicalComplex.cyclesMap_id", "HomologicalComplex.cyclesMap_zero", "HomologicalComplex.cycles_eq_top", "HomologicalComplex.cycles_left_exact", "HomologicalComplex.cylinder.inlX_\u03c0", "HomologicalComplex.cylinder.inrX_\u03c0", "HomologicalComplex.cylinder.map_\u03b9\u2080_eq_map_\u03b9\u2081", "HomologicalComplex.cylinder.\u03b9\u2080_desc", "HomologicalComplex.cylinder.\u03b9\u2080_\u03c0", "HomologicalComplex.cylinder.\u03b9\u2081_desc", "HomologicalComplex.cylinder.\u03b9\u2081_\u03c0", "HomologicalComplex.cylinder.\u03c0Comp\u03b9\u2080Homotopy.biprod_lift_id_sub_id", "HomologicalComplex.cylinder.\u03c0Comp\u03b9\u2080Homotopy.inlX_nullHomotopy_f", "HomologicalComplex.cylinder.\u03c0Comp\u03b9\u2080Homotopy.inrX_nullHomotopy_f", "HomologicalComplex.cylinder.\u03c0Comp\u03b9\u2080Homotopy.nullHomotopicMap_eq", "HomologicalComplex.dFrom_comp_xNextIso", "HomologicalComplex.dFrom_comp_xNextIsoSelf", "HomologicalComplex.dFrom_eq", "HomologicalComplex.dFrom_eq_zero", "HomologicalComplex.dTo_comp_dFrom", "HomologicalComplex.dTo_eq", "HomologicalComplex.dTo_eq_zero", "HomologicalComplex.d_comp_XIsoOfEq_hom", "HomologicalComplex.d_comp_XIsoOfEq_inv", "HomologicalComplex.d_comp_d", "HomologicalComplex.d_comp_eqToHom", "HomologicalComplex.d_eqToHom", "HomologicalComplex.d_pOpcycles", "HomologicalComplex.d_toCycles", "HomologicalComplex.descOpcycles_comp", "HomologicalComplex.epi_homologyMap_of_epi_of_not_rel", "HomologicalComplex.epi_of_epi_f", "HomologicalComplex.eqToHom_comp_d", "HomologicalComplex.eqToHom_f", "HomologicalComplex.eq_liftCycles_homology\u03c0_up_to_refinements", "HomologicalComplex.exactAt_iff", "HomologicalComplex.exactAt_iff'", "HomologicalComplex.exactAt_iff_isZero_homology", "HomologicalComplex.exactAt_single_obj", "HomologicalComplex.exact_iff_degreewise_exact", "HomologicalComplex.exact_of_degreewise_exact", "HomologicalComplex.ext", "HomologicalComplex.extend.d_eq", "HomologicalComplex.extend.d_none_eq_zero", "HomologicalComplex.extend.d_none_eq_zero'", "HomologicalComplex.extend.isZero_X", "HomologicalComplex.extend_d_eq", "HomologicalComplex.extend_d_from_eq_zero", "HomologicalComplex.extend_d_to_eq_zero", "HomologicalComplex.fromOpcycles_d", "HomologicalComplex.from_single_hom_ext", "HomologicalComplex.hom_f_injective", "HomologicalComplex.homologyFunctor_inverts_quasiIso", "HomologicalComplex.homologyMap_add", "HomologicalComplex.homologyMap_comp", "HomologicalComplex.homologyMap_neg", "HomologicalComplex.homologyMap_sub", "HomologicalComplex.homologyMap_zero", "HomologicalComplex.homology_\u03c0_\u03b9", "HomologicalComplex.homology\u03b9_comp_fromOpcycles", "HomologicalComplex.homology\u03b9_descOpcycles_eq_zero_of_boundary", "HomologicalComplex.homology\u03b9_opcyclesToCycles", "HomologicalComplex.homology\u03b9_singleObjOpcyclesSelfIso_inv", "HomologicalComplex.homology\u03c0_naturality", "HomologicalComplex.homology\u03c0_singleObjHomologySelfIso_hom", "HomologicalComplex.homotopyCofiber.d_fstX", "HomologicalComplex.homotopyCofiber.d_sndX", "HomologicalComplex.homotopyCofiber.descSigma_ext_iff", "HomologicalComplex.homotopyCofiber.desc_f", "HomologicalComplex.homotopyCofiber.desc_f'", "HomologicalComplex.homotopyCofiber.eq_desc", "HomologicalComplex.homotopyCofiber.ext_from_X", "HomologicalComplex.homotopyCofiber.ext_from_X'", "HomologicalComplex.homotopyCofiber.ext_to_X", "HomologicalComplex.homotopyCofiber.ext_to_X'", "HomologicalComplex.homotopyCofiber.inlX_d", "HomologicalComplex.homotopyCofiber.inlX_d'", "HomologicalComplex.homotopyCofiber.inlX_desc_f", "HomologicalComplex.homotopyCofiber.inlX_fstX", "HomologicalComplex.homotopyCofiber.inlX_sndX", "HomologicalComplex.homotopyCofiber.inrCompHomotopy_hom", "HomologicalComplex.homotopyCofiber.inrCompHomotopy_hom_desc_hom", "HomologicalComplex.homotopyCofiber.inrCompHomotopy_hom_eq_zero", "HomologicalComplex.homotopyCofiber.inrX_d", "HomologicalComplex.homotopyCofiber.inrX_desc_f", "HomologicalComplex.homotopyCofiber.inrX_fstX", "HomologicalComplex.homotopyCofiber.inrX_sndX", "HomologicalComplex.homotopyCofiber.sndX_inrX", "HomologicalComplex.iCyclesIso_inv_hom_id", "HomologicalComplex.iCycles_d", "HomologicalComplex.i_cyclesMk", "HomologicalComplex.id_f", "HomologicalComplex.imageToKernel_as_boundariesToCycles'", "HomologicalComplex.image_eq_image", "HomologicalComplex.image_to_eq_image", "HomologicalComplex.inl_biprodXIso_inv", "HomologicalComplex.isIso_homology\u03b9", "HomologicalComplex.isIso_homology\u03c0", "HomologicalComplex.isIso_pOpcycles", "HomologicalComplex.isZero_extend_X", "HomologicalComplex.isZero_extend_X'", "HomologicalComplex.isZero_single_comp_eval", "HomologicalComplex.isZero_single_obj_X", "HomologicalComplex.isZero_single_obj_homology", "HomologicalComplex.isZero_zero", "HomologicalComplex.isoHomology\u03b9_hom_inv_id", "HomologicalComplex.kernel_eq_kernel", "HomologicalComplex.liftCycles_comp_cyclesMap", "HomologicalComplex.liftCycles_homology\u03c0_eq_zero_of_boundary", "HomologicalComplex.liftCycles_i", "HomologicalComplex.mapBifunctorMapHomotopy.comm\u2081", "HomologicalComplex.mapBifunctorMapHomotopy.comm\u2081_aux", "HomologicalComplex.mapBifunctorMapHomotopy.zero\u2081", "HomologicalComplex.mapBifunctorMapHomotopy.\u03b9MapBifunctor_hom\u2081", "HomologicalComplex.mem_quasiIso_iff", "HomologicalComplex.mkHomFromSingle_f", "HomologicalComplex.mkHomToSingle_f", "HomologicalComplex.mono_homologyMap_of_mono_of_not_rel", "HomologicalComplex.mono_of_mono_f", "HomologicalComplex.neg_f_apply", "HomologicalComplex.nsmul_f_apply", "HomologicalComplex.opcyclesIsoSc'_inv_fromOpcycles", "HomologicalComplex.opcyclesMap_comp", "HomologicalComplex.opcyclesMap_comp_descOpcycles", "HomologicalComplex.opcyclesMap_zero", "HomologicalComplex.opcyclesToCycles_homology\u03c0", "HomologicalComplex.opcyclesToCycles_iCycles", "HomologicalComplex.opcyclesToCycles_naturality", "HomologicalComplex.opcycles_right_exact", "HomologicalComplex.pOpcyclesIso_hom_inv_id", "HomologicalComplex.pOpcyclesIso_inv_hom_id", "HomologicalComplex.pOpcycles_opcyclesIsoSc'_hom", "HomologicalComplex.pOpcycles_opcyclesIsoSc'_inv", "HomologicalComplex.pOpcycles_opcyclesToCycles", "HomologicalComplex.pOpcycles_opcyclesToCycles_iCycles", "HomologicalComplex.p_descOpcycles", "HomologicalComplex.p_fromOpcycles", "HomologicalComplex.p_opcyclesMap", "HomologicalComplex.quasiIsoAt_map_iff_of_preservesHomology", "HomologicalComplex.quasiIso_map_iff_of_preservesHomology", "HomologicalComplex.shortExact_of_degreewise_shortExact", "HomologicalComplex.singleMapHomologicalComplex_hom_app_ne", "HomologicalComplex.singleMapHomologicalComplex_hom_app_self", "HomologicalComplex.singleMapHomologicalComplex_inv_app_ne", "HomologicalComplex.singleMapHomologicalComplex_inv_app_self", "HomologicalComplex.singleObjCyclesSelfIso_hom_naturality", "HomologicalComplex.singleObjCyclesSelfIso_hom_singleObjOpcyclesSelfIso_hom", "HomologicalComplex.singleObjCyclesSelfIso_inv_homology\u03c0", "HomologicalComplex.singleObjCyclesSelfIso_inv_iCycles", "HomologicalComplex.singleObjCyclesSelfIso_inv_naturality", "HomologicalComplex.singleObjHomologySelfIso_hom_naturality", "HomologicalComplex.singleObjHomologySelfIso_hom_singleObjHomologySelfIso_inv", "HomologicalComplex.singleObjHomologySelfIso_hom_singleObjOpcyclesSelfIso_hom", "HomologicalComplex.singleObjHomologySelfIso_inv_homology\u03b9", "HomologicalComplex.singleObjHomologySelfIso_inv_naturality", "HomologicalComplex.singleObjOpcyclesSelfIso_hom", "HomologicalComplex.singleObjOpcyclesSelfIso_hom_naturality", "HomologicalComplex.singleObjOpcyclesSelfIso_inv_naturality", "HomologicalComplex.single_map_f_self", "HomologicalComplex.smul_f_apply", "HomologicalComplex.sub_f_apply", "HomologicalComplex.toCycles_comp_homology\u03c0", "HomologicalComplex.toCycles_cyclesIsoSc'_hom", "HomologicalComplex.toCycles_i", "HomologicalComplex.to_single_hom_ext", "HomologicalComplex.units_smul_f_apply", "HomologicalComplex.zero_f", "HomologicalComplex.zero_f_apply", "HomologicalComplex.zsmul_f_apply", "HomologicalComplex.\u03b9MapBifunctorOrZero_eq", "HomologicalComplex.\u03b9MapBifunctorOrZero_eq_zero", "HomologicalComplex.\u03b9_mapBifunctorMap", "HomologicalComplex.\u03c0_homologyIsoSc'_hom", "HomologicalComplex.\u03c0_homologyIsoSc'_inv", "HomologicalComplexUpToQuasiIso.Q_inverts_homotopyEquivalences", "HomologicalComplexUpToQuasiIso.Qh_inverts_quasiIso", "HomologicalComplexUpToQuasiIso.isIso_Q_map_iff_mem_quasiIso", "HomologicalComplex\u2082.D\u2081_D\u2081", "HomologicalComplex\u2082.D\u2081_D\u2082", "HomologicalComplex\u2082.D\u2081_shape", "HomologicalComplex\u2082.D\u2081_totalShift\u2081XIso_hom", "HomologicalComplex\u2082.D\u2081_totalShift\u2082XIso_hom", "HomologicalComplex\u2082.D\u2082_D\u2081", "HomologicalComplex\u2082.D\u2082_D\u2082", "HomologicalComplex\u2082.D\u2082_shape", "HomologicalComplex\u2082.D\u2082_totalShift\u2081XIso_hom", "HomologicalComplex\u2082.D\u2082_totalShift\u2082XIso_hom", "HomologicalComplex\u2082.XXIsoOfEq_inv_\u03b9Total", "HomologicalComplex\u2082.XXIsoOfEq_rfl", "HomologicalComplex\u2082.comm_f", "HomologicalComplex\u2082.d_comm", "HomologicalComplex\u2082.d_f_comp_d_f", "HomologicalComplex\u2082.d\u2081_eq", "HomologicalComplex\u2082.d\u2081_eq_zero", "HomologicalComplex\u2082.d\u2081_eq_zero'", "HomologicalComplex\u2082.d\u2082_eq", "HomologicalComplex\u2082.d\u2082_eq'", "HomologicalComplex\u2082.d\u2082_eq_zero", "HomologicalComplex\u2082.d\u2082_eq_zero'", "HomologicalComplex\u2082.flip_flip", "HomologicalComplex\u2082.flip_totalFlipIso", "HomologicalComplex\u2082.hasTotal_of_iso", "HomologicalComplex\u2082.ofGradedObject_toGradedObject", "HomologicalComplex\u2082.shape_f", "HomologicalComplex\u2082.shiftFunctor\u2081XXIso_refl", "HomologicalComplex\u2082.total.forget_map", "HomologicalComplex\u2082.total.hom_ext", "HomologicalComplex\u2082.total.mapAux.d\u2081_mapMap", "HomologicalComplex\u2082.total.mapAux.d\u2082_mapMap", "HomologicalComplex\u2082.total.mapAux.mapMap_D\u2081", "HomologicalComplex\u2082.total.map_comp", "HomologicalComplex\u2082.total.map_id", "HomologicalComplex\u2082.totalAux.d\u2081_eq", "HomologicalComplex\u2082.totalAux.d\u2081_eq'", "HomologicalComplex\u2082.totalAux.d\u2082_eq", "HomologicalComplex\u2082.totalAux.d\u2082_eq'", "HomologicalComplex\u2082.totalAux.\u03b9MapObj_D\u2081", "HomologicalComplex\u2082.totalFlipIsoX_hom_D\u2081", "HomologicalComplex\u2082.totalFlipIsoX_hom_D\u2082", "HomologicalComplex\u2082.totalFlipIso_hom_f_D\u2081", "HomologicalComplex\u2082.totalFlipIso_hom_f_D\u2082", "HomologicalComplex\u2082.totalShift\u2081Iso_hom_naturality", "HomologicalComplex\u2082.totalShift\u2081Iso_trans_totalShift\u2082Iso", "HomologicalComplex\u2082.totalShift\u2082Iso_hom_naturality", "HomologicalComplex\u2082.\u03b9TotalOrZero_eq", "HomologicalComplex\u2082.\u03b9TotalOrZero_eq_zero", "HomologicalComplex\u2082.\u03b9TotalOrZero_map", "HomologicalComplex\u2082.\u03b9Total_map", "HomologicalComplex\u2082.\u03b9Total_totalFlipIso_f_hom", "HomologicalComplex\u2082.\u03b9Total_totalFlipIso_f_inv", "HomologicalComplex\u2082.\u03b9_D\u2081", "HomologicalComplex\u2082.\u03b9_totalDesc", "HomologicalComplex\u2082.\u03b9_totalShift\u2081Iso_hom_f", "HomologicalComplex\u2082.\u03b9_totalShift\u2081Iso_inv_f", "HomologicalComplex\u2082.\u03b9_totalShift\u2082Iso_hom_f", "HomologicalComplex\u2082.\u03b9_totalShift\u2082Iso_inv_f", "Homotopy.comp_nullHomotopicMap", "Homotopy.comp_nullHomotopicMap'", "Homotopy.dNext_cochainComplex", "Homotopy.dNext_succ_chainComplex", "Homotopy.dNext_zero_chainComplex", "Homotopy.homologyMap_eq", "Homotopy.map_eq_of_inverts_homotopyEquivalences", "Homotopy.map_nullHomotopicMap", "Homotopy.map_nullHomotopicMap'", "Homotopy.mkCoinductiveAux\u2082_zero", "Homotopy.mkInductiveAux\u2082_add_one", "Homotopy.mkInductiveAux\u2082_zero", "Homotopy.nullHomotopicMap'_comp", "Homotopy.nullHomotopicMap'_f", "Homotopy.nullHomotopicMap'_f_of_not_rel_right", "Homotopy.nullHomotopicMap_comp", "Homotopy.nullHomotopicMap_f", "Homotopy.nullHomotopicMap_f_eq_zero", "Homotopy.nullHomotopicMap_f_of_not_rel_left", "Homotopy.nullHomotopicMap_f_of_not_rel_right", "Homotopy.prevD_chainComplex", "Homotopy.prevD_succ_cochainComplex", "Homotopy.prevD_zero_cochainComplex", "HomotopyCategory.Pretriangulated.complete_distinguished_triangle_morphism", "HomotopyCategory.Pretriangulated.contractible_distinguished", "HomotopyCategory.Pretriangulated.distinguished_cocone_triangle", "HomotopyCategory.Pretriangulated.invRotate_distinguished_triangle'", "HomotopyCategory.Pretriangulated.isomorphic_distinguished", "HomotopyCategory.Pretriangulated.rotate_distinguished_triangle", "HomotopyCategory.Pretriangulated.rotate_distinguished_triangle'", "HomotopyCategory.Pretriangulated.shift_distinguished_triangle", "HomotopyCategory.distinguished_iff_iso_trianglehOfDegreewiseSplit", "HomotopyCategory.eq_of_homotopy", "HomotopyCategory.homology'Factors_hom_app", "HomotopyCategory.homologyFunctor_inverts_quasiIso", "HomotopyCategory.homologyFunctor_shiftMap", "HomotopyCategory.homologyShiftIso_hom_app", "HomotopyCategory.isZero_quotient_obj_iff", "HomotopyCategory.mappingConeCompTriangleh_distinguished", "HomotopyCategory.mappingCone_triangleh_distinguished", "HomotopyCategory.mem_quasiIso_iff", "HomotopyCategory.mem_subcategoryAcyclic_iff", "HomotopyCategory.quasiIso_eq_quasiIso_map_quotient", "HomotopyCategory.quasiIso_eq_subcategoryAcyclic_W", "HomotopyCategory.quot_mk_eq_quotient_map", "HomotopyCategory.quotient_inverts_homotopyEquivalences", "HomotopyCategory.quotient_map_mem_quasiIso_iff", "HomotopyCategory.quotient_map_out", "HomotopyCategory.quotient_obj_mem_subcategoryAcyclic_iff_exactAt", "HomotopyCategory.respectsIso_quasiIso", "HomotopyEquiv.toQuasiIso'", "HomotopyEquiv.toQuasiIso'_inv", "HomotopyGroup.auxGroup_indep", "HomotopyGroup.inv_spec", "HomotopyGroup.isUnital_auxGroup", "HomotopyGroup.mul_spec", "HomotopyGroup.symmAt_indep", "HomotopyGroup.transAt_indep", "HopfAlgebra.mul_antipode_lTensor_comul_apply", "HopfAlgebra.mul_antipode_rTensor_comul_apply", "HurwitzKernelBounds.F_int_eq_of_mem_Icc", "HurwitzKernelBounds.F_nat_one_le", "HurwitzKernelBounds.F_nat_zero_le", "HurwitzKernelBounds.F_nat_zero_zero_sub_le", "HurwitzKernelBounds.exp_lt_aux", "HurwitzKernelBounds.f_int_negSucc", "HurwitzKernelBounds.f_int_ofNat", "HurwitzKernelBounds.f_le_g_nat", "HurwitzKernelBounds.isBigO_atTop_F_int_one", "HurwitzKernelBounds.isBigO_atTop_F_int_zero_sub", "HurwitzKernelBounds.isBigO_atTop_F_nat_one", "HurwitzKernelBounds.isBigO_atTop_F_nat_zero_sub", "HurwitzKernelBounds.isBigO_exp_neg_mul_of_le", "HurwitzKernelBounds.isBigO_one_aux", "HurwitzKernelBounds.summable_f_int", "HurwitzKernelBounds.summable_f_nat", "HurwitzZeta.LSeriesHasSum_cos", "HurwitzZeta.LSeriesHasSum_exp", "HurwitzZeta.LSeriesHasSum_sin", "HurwitzZeta.completedCosZeta_eq", "HurwitzZeta.completedCosZeta_neg", "HurwitzZeta.completedCosZeta_one_sub", "HurwitzZeta.completedCosZeta_residue_zero", "HurwitzZeta.completedCosZeta_zero", "HurwitzZeta.completedCosZeta\u2080_neg", "HurwitzZeta.completedCosZeta\u2080_one_sub", "HurwitzZeta.completedCosZeta\u2080_zero", "HurwitzZeta.completedHurwitzZetaEven_eq", "HurwitzZeta.completedHurwitzZetaEven_neg", "HurwitzZeta.completedHurwitzZetaEven_one_sub", "HurwitzZeta.completedHurwitzZetaEven_residue_one", "HurwitzZeta.completedHurwitzZetaEven_residue_zero", "HurwitzZeta.completedHurwitzZetaEven_zero", "HurwitzZeta.completedHurwitzZetaEven\u2080_neg", "HurwitzZeta.completedHurwitzZetaEven\u2080_one_sub", "HurwitzZeta.completedHurwitzZetaEven\u2080_zero", "HurwitzZeta.completedHurwitzZetaOdd_neg", "HurwitzZeta.completedHurwitzZetaOdd_one_sub", "HurwitzZeta.completedSinZeta_neg", "HurwitzZeta.completedSinZeta_one_sub", "HurwitzZeta.continuousOn_cosKernel", "HurwitzZeta.continuousOn_evenKernel", "HurwitzZeta.continuousOn_oddKernel", "HurwitzZeta.continuousOn_sinKernel", "HurwitzZeta.cosKernel_def", "HurwitzZeta.cosKernel_neg", "HurwitzZeta.cosKernel_undef", "HurwitzZeta.cosZeta_apply_zero", "HurwitzZeta.cosZeta_eq", "HurwitzZeta.cosZeta_neg", "HurwitzZeta.cosZeta_neg_two_mul_nat_add_one", "HurwitzZeta.cosZeta_one_sub", "HurwitzZeta.cosZeta_two_mul_nat", "HurwitzZeta.cosZeta_two_mul_nat'", "HurwitzZeta.cosZeta_zero", "HurwitzZeta.differentiableAt_completedCosZeta", "HurwitzZeta.differentiableAt_completedHurwitzZetaEven", "HurwitzZeta.differentiableAt_cosZeta", "HurwitzZeta.differentiableAt_expZeta", "HurwitzZeta.differentiableAt_hurwitzZeta", "HurwitzZeta.differentiableAt_hurwitzZetaEven", "HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_div", "HurwitzZeta.differentiableAt_hurwitzZeta_sub_one_div", "HurwitzZeta.differentiableAt_one_completedHurwitzZetaEven_sub_completedHurwitzZetaEven", "HurwitzZeta.differentiableAt_update_of_residue", "HurwitzZeta.differentiable_completedCosZeta\u2080", "HurwitzZeta.differentiable_completedHurwitzZetaEven\u2080", "HurwitzZeta.differentiable_completedHurwitzZetaOdd", "HurwitzZeta.differentiable_cosZeta_of_ne_zero", "HurwitzZeta.differentiable_expZeta_of_ne_zero", "HurwitzZeta.differentiable_hurwitzZetaEven_sub_hurwitzZetaEven", "HurwitzZeta.differentiable_hurwitzZetaOdd", "HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta", "HurwitzZeta.evenKernel_def", "HurwitzZeta.evenKernel_eq_cosKernel_of_zero", "HurwitzZeta.evenKernel_functional_equation", "HurwitzZeta.evenKernel_neg", "HurwitzZeta.evenKernel_undef", "HurwitzZeta.expZeta_one_sub", "HurwitzZeta.expZeta_zero", "HurwitzZeta.hasSum_expZeta_of_one_lt_re", "HurwitzZeta.hasSum_hurwitzZeta_of_one_lt_re", "HurwitzZeta.hasSum_int_completedCosZeta", "HurwitzZeta.hasSum_int_completedHurwitzZetaEven", "HurwitzZeta.hasSum_int_completedHurwitzZetaOdd", "HurwitzZeta.hasSum_int_completedSinZeta", "HurwitzZeta.hasSum_int_cosKernel", "HurwitzZeta.hasSum_int_cosKernel\u2080", "HurwitzZeta.hasSum_int_cosZeta", "HurwitzZeta.hasSum_int_evenKernel", "HurwitzZeta.hasSum_int_evenKernel\u2080", "HurwitzZeta.hasSum_int_hurwitzZetaEven", "HurwitzZeta.hasSum_int_hurwitzZetaOdd", "HurwitzZeta.hasSum_int_oddKernel", "HurwitzZeta.hasSum_int_sinKernel", "HurwitzZeta.hasSum_int_sinZeta", "HurwitzZeta.hasSum_nat_completedCosZeta", "HurwitzZeta.hasSum_nat_completedSinZeta", "HurwitzZeta.hasSum_nat_cosKernel\u2080", "HurwitzZeta.hasSum_nat_cosZeta", "HurwitzZeta.hasSum_nat_hurwitzZetaEven", "HurwitzZeta.hasSum_nat_hurwitzZetaEven_of_mem_Icc", "HurwitzZeta.hasSum_nat_hurwitzZetaOdd", "HurwitzZeta.hasSum_nat_hurwitzZetaOdd_of_mem_Icc", "HurwitzZeta.hasSum_nat_sinKernel", "HurwitzZeta.hasSum_nat_sinZeta", "HurwitzZeta.hurwitzEvenFEPair_neg", "HurwitzZeta.hurwitzEvenFEPair_zero_symm", "HurwitzZeta.hurwitzZetaEven_apply_zero", "HurwitzZeta.hurwitzZetaEven_def_of_ne_or_ne", "HurwitzZeta.hurwitzZetaEven_eq", "HurwitzZeta.hurwitzZetaEven_neg", "HurwitzZeta.hurwitzZetaEven_neg_two_mul_nat_add_one", "HurwitzZeta.hurwitzZetaEven_one_sub", "HurwitzZeta.hurwitzZetaEven_one_sub_two_mul_nat", "HurwitzZeta.hurwitzZetaEven_residue_one", "HurwitzZeta.hurwitzZetaEven_zero", "HurwitzZeta.hurwitzZetaOdd_eq", "HurwitzZeta.hurwitzZetaOdd_neg", "HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat", "HurwitzZeta.hurwitzZetaOdd_neg_two_mul_nat_sub_one", "HurwitzZeta.hurwitzZetaOdd_one_sub", "HurwitzZeta.hurwitzZeta_neg_nat", "HurwitzZeta.hurwitzZeta_neg_two_mul_nat", "HurwitzZeta.hurwitzZeta_one_sub", "HurwitzZeta.hurwitzZeta_one_sub_two_mul_nat", "HurwitzZeta.hurwitzZeta_residue_one", "HurwitzZeta.hurwitzZeta_zero", "HurwitzZeta.isBigO_atTop_cosKernel_sub", "HurwitzZeta.isBigO_atTop_evenKernel_sub", "HurwitzZeta.isBigO_atTop_oddKernel", "HurwitzZeta.isBigO_atTop_sinKernel", "HurwitzZeta.jacobiTheta\u2082''_add_left", "HurwitzZeta.jacobiTheta\u2082''_conj", "HurwitzZeta.jacobiTheta\u2082''_neg_left", "HurwitzZeta.jacobiTheta\u2082'_functional_equation'", "HurwitzZeta.oddKernel_def", "HurwitzZeta.oddKernel_def'", "HurwitzZeta.oddKernel_functional_equation", "HurwitzZeta.oddKernel_neg", "HurwitzZeta.oddKernel_undef", "HurwitzZeta.oddKernel_zero", "HurwitzZeta.sinKernel_def", "HurwitzZeta.sinKernel_neg", "HurwitzZeta.sinKernel_undef", "HurwitzZeta.sinKernel_zero", "HurwitzZeta.sinZeta_eq", "HurwitzZeta.sinZeta_neg", "HurwitzZeta.sinZeta_neg_two_mul_nat_sub_one", "HurwitzZeta.sinZeta_one_sub", "HurwitzZeta.sinZeta_two_mul_nat_add_one", "HurwitzZeta.sinZeta_two_mul_nat_add_one'", "HurwitzZeta.tendsto_div_two_punctured_nhds", "HurwitzZeta.tendsto_hurwitzZetaEven_sub_one_div_nhds_one", "HurwitzZeta.tendsto_hurwitzZeta_sub_one_div_nhds_one", "Hyperreal.Infinite.mul", "Hyperreal.Infinite.ne_real", "Hyperreal.Infinite.ne_zero", "Hyperreal.Infinite.not_infinitesimal", "Hyperreal.Infinite.st_eq", "Hyperreal.InfiniteNeg.lt_zero", "Hyperreal.InfiniteNeg.neg", "Hyperreal.InfiniteNeg.not_infinitePos", "Hyperreal.InfinitePos.neg", "Hyperreal.InfinitePos.not_infinitesimal", "Hyperreal.InfinitePos.pos", "Hyperreal.Infinitesimal.add", "Hyperreal.Infinitesimal.eq_zero", "Hyperreal.Infinitesimal.mul", "Hyperreal.Infinitesimal.not_infinite", "Hyperreal.IsSt.add", "Hyperreal.IsSt.infinitesimal_sub", "Hyperreal.IsSt.lt", "Hyperreal.IsSt.map", "Hyperreal.IsSt.map\u2082", "Hyperreal.IsSt.mul", "Hyperreal.IsSt.neg", "Hyperreal.IsSt.st_eq", "Hyperreal.IsSt.unique", "Hyperreal.abs_lt_real_iff_infinitesimal", "Hyperreal.coe_abs", "Hyperreal.coe_add", "Hyperreal.coe_div", "Hyperreal.coe_eq_one", "Hyperreal.coe_inv", "Hyperreal.coe_le_coe", "Hyperreal.coe_lt_coe", "Hyperreal.coe_min", "Hyperreal.coe_ne_coe", "Hyperreal.coe_ne_one", "Hyperreal.coe_ne_zero", "Hyperreal.coe_neg", "Hyperreal.coe_ofNat", "Hyperreal.coe_one", "Hyperreal.epsilon_mul_omega", "Hyperreal.epsilon_ne_zero", "Hyperreal.epsilon_pos", "Hyperreal.eq_of_isSt_real", "Hyperreal.exists_st_iff_not_infinite", "Hyperreal.exists_st_of_not_infinite", "Hyperreal.gt_of_neg_of_infinitesimal", "Hyperreal.gt_of_tendsto_zero_of_neg", "Hyperreal.infiniteNeg_add_infiniteNeg", "Hyperreal.infiniteNeg_add_not_infinite", "Hyperreal.infiniteNeg_iff_infinite_and_neg", "Hyperreal.infiniteNeg_iff_infinitesimal_inv_neg", "Hyperreal.infiniteNeg_mul_infinitePos", "Hyperreal.infiniteNeg_mul_of_infiniteNeg_not_infinitesimal_pos", "Hyperreal.infiniteNeg_mul_of_infinitePos_not_infinitesimal_neg", "Hyperreal.infiniteNeg_mul_of_not_infinitesimal_neg_infinitePos", "Hyperreal.infiniteNeg_mul_of_not_infinitesimal_pos_infiniteNeg", "Hyperreal.infiniteNeg_neg", "Hyperreal.infiniteNeg_of_tendsto_bot", "Hyperreal.infinitePos_abs_iff_infinite", "Hyperreal.infinitePos_abs_iff_infinite_abs", "Hyperreal.infinitePos_add_infinitePos", "Hyperreal.infinitePos_add_not_infiniteNeg", "Hyperreal.infinitePos_def", "Hyperreal.infinitePos_iff_infinite_and_pos", "Hyperreal.infinitePos_iff_infinite_of_pos", "Hyperreal.infinitePos_iff_infinitesimal_inv_pos", "Hyperreal.infinitePos_mul_infinitePos", "Hyperreal.infinitePos_mul_of_infiniteNeg_not_infinitesimal_neg", "Hyperreal.infinitePos_mul_of_infinitePos_not_infinitesimal_pos", "Hyperreal.infinitePos_mul_of_not_infinitesimal_neg_infiniteNeg", "Hyperreal.infinitePos_mul_of_not_infinitesimal_pos_infinitePos", "Hyperreal.infinitePos_neg", "Hyperreal.infinitePos_of_tendsto_top", "Hyperreal.infinitePos_omega", "Hyperreal.infinite_abs_iff", "Hyperreal.infinite_iff_abs_lt_abs", "Hyperreal.infinite_iff_infinitesimal_inv", "Hyperreal.infinite_of_infinitesimal_inv", "Hyperreal.infinitesimal_def", "Hyperreal.infinitesimal_epsilon", "Hyperreal.infinitesimal_iff_infinite_inv", "Hyperreal.infinitesimal_inv_of_infinite", "Hyperreal.infinitesimal_neg", "Hyperreal.infinitesimal_neg_iff_infiniteNeg_inv", "Hyperreal.infinitesimal_pos_iff_infinitePos_inv", "Hyperreal.infinitesimal_real_iff", "Hyperreal.infinitesimal_sub_st", "Hyperreal.infinitesimal_zero", "Hyperreal.inv_epsilon", "Hyperreal.inv_omega", "Hyperreal.isSt_iff_abs_sub_lt_delta", "Hyperreal.isSt_iff_tendsto", "Hyperreal.isSt_inj_real", "Hyperreal.isSt_ofSeq_iff_tendsto", "Hyperreal.isSt_of_tendsto", "Hyperreal.isSt_real_iff_eq", "Hyperreal.isSt_refl_real", "Hyperreal.isSt_sSup", "Hyperreal.isSt_symm_real", "Hyperreal.isSt_trans_real", "Hyperreal.lt_neg_of_pos_of_infinitesimal", "Hyperreal.lt_of_pos_of_infinitesimal", "Hyperreal.lt_of_st_lt", "Hyperreal.lt_of_tendsto_zero_of_pos", "Hyperreal.neg_lt_of_tendsto_zero_of_pos", "Hyperreal.not_infiniteNeg_add_infinitePos", "Hyperreal.not_infinitePos_add_infiniteNeg", "Hyperreal.not_infinite_add", "Hyperreal.not_infinite_iff_exist_lt_gt", "Hyperreal.not_infinite_mul", "Hyperreal.not_infinite_of_exists_st", "Hyperreal.not_infinite_real", "Hyperreal.not_infinite_zero", "Hyperreal.not_real_of_infinitesimal_ne_zero", "Hyperreal.ofSeq_surjective", "Hyperreal.omega_ne_zero", "Hyperreal.omega_pos", "Hyperreal.st_add", "Hyperreal.st_eq_sSup", "Hyperreal.st_inv", "Hyperreal.st_neg", "Icc_mem_nhds", "Icc_mem_nhdsSet_Ico", "Icc_mem_nhdsSet_Ioc", "Icc_mem_nhdsWithin_Ici", "Icc_mem_nhdsWithin_Iio'", "Icc_mem_nhdsWithin_Ioi", "Icc_mem_nhdsWithin_Ioi'", "Icc_ofDual", "Icc_subset_segment", "Ici_mem_nhds", "Ici_mem_nhdsSet_Ici", "Ici_mem_nhdsSet_Ico", "Ici_mem_nhdsSet_Ioc", "Ici_ofDual", "Ico_eq_locus_Ioc_eq_iUnion_Ioo", "Ico_mem_nhdsSet_Icc", "Ico_mem_nhdsSet_Ioc", "Ico_mem_nhdsWithin_Ici", "Ico_mem_nhdsWithin_Ici'", "Ico_mem_nhdsWithin_Iic", "Ico_mem_nhdsWithin_Iio", "Ico_mem_nhdsWithin_Iio'", "Ico_mem_nhdsWithin_Ioi", "Ico_mem_nhdsWithin_Ioi'", "Ico_ofDual", "Ico_subset_closure_interior", "Ico_toDual", "Id.map_eq", "Ideal.CompleteLattice.Independent.linear_independent'", "Ideal.FG.map", "Ideal.Factors.finrank_pow_ramificationIdx", "Ideal.Factors.inertiaDeg_ne_zero", "Ideal.Factors.ne_bot", "Ideal.Factors.piQuotientEquiv_map", "Ideal.Factors.ramificationIdx_ne_zero", "Ideal.Filtration.Stable.bounded_difference", "Ideal.Filtration.Stable.exists_forall_le", "Ideal.Filtration.Stable.exists_pow_smul_eq", "Ideal.Filtration.Stable.exists_pow_smul_eq_of_ge", "Ideal.Filtration.Stable.inter_left", "Ideal.Filtration.Stable.inter_right", "Ideal.Filtration.Stable.of_le", "Ideal.Filtration.antitone", "Ideal.Filtration.bot_N", "Ideal.Filtration.iInf_N", "Ideal.Filtration.iSup_N", "Ideal.Filtration.inf_N", "Ideal.Filtration.inf_submodule", "Ideal.Filtration.mem_submodule", "Ideal.Filtration.pow_smul_le", "Ideal.Filtration.pow_smul_le_pow_smul", "Ideal.Filtration.sInf_N", "Ideal.Filtration.stable_iff_exists_pow_smul_eq_of_ge", "Ideal.Filtration.submodule_closure_single", "Ideal.Filtration.submodule_eq_span_le_iff_stable_ge", "Ideal.Filtration.submodule_fg_iff_stable", "Ideal.Filtration.submodule_span_single", "Ideal.Filtration.sup_N", "Ideal.Filtration.top_N", "Ideal.FinrankQuotientMap.linearIndependent_of_nontrivial", "Ideal.FinrankQuotientMap.span_eq_top", "Ideal.IntegralClosure.comap_lt_comap", "Ideal.IntegralClosure.comap_ne_bot", "Ideal.IntegralClosure.eq_bot_of_comap_eq_bot", "Ideal.IsDedekindDomain.ramificationIdx_eq_normalizedFactors_count", "Ideal.IsDedekindDomain.ramificationIdx_ne_zero", "Ideal.IsHomogeneous.bot", "Ideal.IsHomogeneous.iInf", "Ideal.IsHomogeneous.iInf\u2082", "Ideal.IsHomogeneous.iSup", "Ideal.IsHomogeneous.iff_exists", "Ideal.IsHomogeneous.isPrime_of_homogeneous_mem_or_mem", "Ideal.IsHomogeneous.mem_iff", "Ideal.IsHomogeneous.mul", "Ideal.IsHomogeneous.radical", "Ideal.IsHomogeneous.radical_eq", "Ideal.IsHomogeneous.sInf", "Ideal.IsHomogeneous.sSup", "Ideal.IsHomogeneous.sup", "Ideal.IsHomogeneous.toIdeal_homogeneousCore_eq_self", "Ideal.IsHomogeneous.toIdeal_homogeneousHull_eq_self", "Ideal.IsHomogeneous.top", "Ideal.IsIntegralClosure.comap_lt_comap", "Ideal.IsIntegralClosure.eq_bot_of_comap_eq_bot", "Ideal.IsIntegralClosure.isMaximal_of_isMaximal_comap", "Ideal.IsJacobson.out", "Ideal.IsLocal.mem_jacobson_or_exists_inv", "Ideal.IsMaximal.closure_eq", "Ideal.IsMaximal.coprime_of_ne", "Ideal.IsMaximal.eq_of_le", "Ideal.IsMaximal.exists_inv", "Ideal.IsMaximal.isPrime", "Ideal.IsMaximal.ne_top", "Ideal.IsNilpotent.induction_on", "Ideal.IsPrime.exists_mem_prime_of_ne_bot", "Ideal.IsPrime.homogeneousCore", "Ideal.IsPrime.inf_le", "Ideal.IsPrime.inf_le'", "Ideal.IsPrime.isMaximal", "Ideal.IsPrime.isPrimary", "Ideal.IsPrime.mem_of_pow_mem", "Ideal.IsPrime.mem_or_mem", "Ideal.IsPrime.mem_or_mem_of_mul_eq_zero", "Ideal.IsPrime.mem_pow_mul", "Ideal.IsPrime.mul_le", "Ideal.IsPrime.mul_mem_pow", "Ideal.IsPrime.multiset_prod_le", "Ideal.IsPrime.multiset_prod_map_le", "Ideal.IsPrime.multiset_prod_mem_iff_exists_mem", "Ideal.IsPrime.ne_top", "Ideal.IsPrime.prod_mem_iff_exists_mem", "Ideal.IsPrime.radical", "Ideal.IsPrime.radical_le_iff", "Ideal.IsPrincipal.of_comap", "Ideal.IsPrincipal.of_finite_maximals_of_isUnit", "Ideal.IsRadical.inf", "Ideal.IsRadical.radical_le_iff", "Ideal.KerLift.map_smul", "Ideal.MvPolynomial.aux_IH", "Ideal.MvPolynomial.comp_C_integral_of_surjective_of_jacobson", "Ideal.MvPolynomial.isJacobson_MvPolynomial_fin", "Ideal.MvPolynomial.quotient_mk_comp_C_isIntegral_of_jacobson", "Ideal.MvPolynomial.quotient_mk_comp_C_isIntegral_of_jacobson'", "Ideal.Polynomial.Subring.mem_closure_image_of", "Ideal.Polynomial.comp_C_integral_of_surjective_of_jacobson", "Ideal.Polynomial.isIntegral_isLocalization_polynomial_quotient", "Ideal.Polynomial.isJacobson_polynomial_iff_isJacobson", "Ideal.Polynomial.isJacobson_polynomial_of_domain", "Ideal.Polynomial.isJacobson_polynomial_of_isJacobson", "Ideal.Polynomial.isMaximal_comap_C_of_isJacobson", "Ideal.Polynomial.isMaximal_comap_C_of_isMaximal", "Ideal.Polynomial.jacobson_bot_of_integral_localization", "Ideal.Polynomial.mem_closure_X_union_C", "Ideal.Polynomial.quotient_mk_comp_C_isIntegral_of_jacobson", "Ideal.Polynomial.quotient_mk_comp_C_isIntegral_of_jacobson'", "Ideal.Quotient.algHom_ext", "Ideal.Quotient.alg_map_eq", "Ideal.Quotient.algebraMap_quotient_map_quotient", "Ideal.Quotient.algebraMap_quotient_pow_ramificationIdx", "Ideal.Quotient.eq", "Ideal.Quotient.eq_zero_iff_dvd", "Ideal.Quotient.eq_zero_iff_mem", "Ideal.Quotient.exists_inv", "Ideal.Quotient.factor_comp_mk", "Ideal.Quotient.factor_mk", "Ideal.Quotient.index_eq_zero", "Ideal.Quotient.isDomain_iff_prime", "Ideal.Quotient.lift_mk", "Ideal.Quotient.lift_surjective_of_surjective", "Ideal.Quotient.lift\u2090_apply", "Ideal.Quotient.lift\u2090_comp", "Ideal.Quotient.maximal_ideal_iff_isField_quotient", "Ideal.Quotient.maximal_of_isField", "Ideal.Quotient.mk_algebraMap", "Ideal.Quotient.mk_comp_algebraMap", "Ideal.Quotient.mk_eq_mk", "Ideal.Quotient.mk_eq_mk_iff_sub_mem", "Ideal.Quotient.mk_surjective", "Ideal.Quotient.mk\u2090_eq_mk", "Ideal.Quotient.mk\u2090_surjective", "Ideal.Quotient.norm_mk_lt", "Ideal.Quotient.quotient_ring_saturate", "Ideal.Quotient.subsingleton_iff", "Ideal.Quotient.torsionBy_eq_span_singleton", "Ideal.Quotient.zero_eq_one_iff", "Ideal.Quotient.zero_ne_one_iff", "Ideal.absNorm_apply", "Ideal.absNorm_bot", "Ideal.absNorm_dvd_norm_of_mem", "Ideal.absNorm_eq_one_iff", "Ideal.absNorm_eq_zero_iff", "Ideal.absNorm_mem", "Ideal.absNorm_ne_zero_iff", "Ideal.absNorm_span_insert", "Ideal.absNorm_span_singleton", "Ideal.absNorm_top", "Ideal.add_eq_one_iff", "Ideal.add_eq_sup", "Ideal.add_mem", "Ideal.add_mem_iff_left", "Ideal.add_mem_iff_right", "Ideal.add_pow_add_pred_mem_of_pow_mem", "Ideal.add_pow_mem_of_pow_mem_of_le", "Ideal.adic_basis", "Ideal.adic_module_basis", "Ideal.associatesEquivIsPrincipal_apply", "Ideal.associatesEquivIsPrincipal_map_one", "Ideal.associatesEquivIsPrincipal_map_zero", "Ideal.associatesEquivIsPrincipal_mul", "Ideal.associatesEquivIsPrincipal_symm_apply", "Ideal.basisSpanSingleton_apply", "Ideal.bot_isMaximal", "Ideal.bot_lt_of_maximal", "Ideal.bot_prime", "Ideal.bot_quotient_isMaximal_iff", "Ideal.closure_eq_of_isClosed", "Ideal.closure_ne_top", "Ideal.coe_closure", "Ideal.coe_comap", "Ideal.coe_restrictScalars", "Ideal.coeff_zero_mem_comap_of_root_mem", "Ideal.coeff_zero_mem_comap_of_root_mem_of_eval_mem", "Ideal.comap_bot_le_of_injective", "Ideal.comap_bot_of_injective", "Ideal.comap_comap", "Ideal.comap_eq_of_scalar_tower_quotient", "Ideal.comap_iInf", "Ideal.comap_id", "Ideal.comap_inf", "Ideal.comap_injective_of_surjective", "Ideal.comap_isMaximal_of_surjective", "Ideal.comap_isPrime", "Ideal.comap_jacobson", "Ideal.comap_jacobson_of_surjective", "Ideal.comap_le_iff_le_map", "Ideal.comap_le_map_of_inv_on", "Ideal.comap_lt_comap_of_integral_mem_sdiff", "Ideal.comap_lt_comap_of_root_mem_sdiff", "Ideal.comap_map_comap", "Ideal.comap_map_mk", "Ideal.comap_map_of_surjective", "Ideal.comap_minimalPrimes_eq_of_surjective", "Ideal.comap_mono", "Ideal.comap_ne_bot_of_algebraic_mem", "Ideal.comap_ne_top", "Ideal.comap_of_equiv", "Ideal.comap_sInf", "Ideal.comap_sInf'", "Ideal.comap_top", "Ideal.comp_quotientMap_eq_of_comp_eq", "Ideal.constr_basisSpanSingleton", "Ideal.coprime_of_no_prime_ge", "Ideal.cotangentIdeal_square", "Ideal.cotangent_subsingleton_iff", "Ideal.count_normalizedFactors_eq", "Ideal.disjoint_powers_iff_not_mem", "Ideal.dvdNotUnit_iff_lt", "Ideal.dvd_iff_le", "Ideal.dvd_span_singleton", "Ideal.eq_bot_of_comap_eq_bot", "Ideal.eq_bot_or_top", "Ideal.eq_jacobson_iff_not_mem", "Ideal.eq_jacobson_iff_sInf_maximal", "Ideal.eq_jacobson_iff_sInf_maximal'", "Ideal.eq_of_localization_maximal", "Ideal.eq_prime_pow_of_succ_lt_of_le", "Ideal.eq_span_singleton_mul", "Ideal.eq_span_singleton_of_mem_of_not_mem_sq_of_not_mem_prime_ne", "Ideal.eq_top_iff_one", "Ideal.eq_top_of_isUnit_mem", "Ideal.eq_top_of_norm_lt_one", "Ideal.eq_top_of_unit_mem", "Ideal.eq_zero_of_constant_mem_of_maximal", "Ideal.eq_zero_of_polynomial_mem_map_range", "Ideal.eval\u2082_C_mk_eq_zero", "Ideal.exist_integer_multiples_not_mem", "Ideal.exists_coeff_mem_comap_sdiff_comap_of_root_mem_sdiff", "Ideal.exists_coeff_ne_zero_mem_comap_of_non_zero_divisor_root_mem", "Ideal.exists_comap_eq_of_mem_minimalPrimes", "Ideal.exists_comap_eq_of_mem_minimalPrimes_of_injective", "Ideal.exists_forall_sub_mem_ideal", "Ideal.exists_ideal_comap_le_prime", "Ideal.exists_ideal_over_maximal_of_isIntegral", "Ideal.exists_ideal_over_prime_of_isIntegral", "Ideal.exists_ideal_over_prime_of_isIntegral_of_isDomain", "Ideal.exists_ideal_over_prime_of_isIntegral_of_isPrime", "Ideal.exists_le_maximal", "Ideal.exists_maximal", "Ideal.exists_mem_pow_not_mem_pow_succ", "Ideal.exists_minimalPrimes_comap_eq", "Ideal.exists_minimalPrimes_le", "Ideal.exists_mul_add_mem_pow_succ", "Ideal.exists_mul_sub_mem_of_sub_one_mem_jacobson", "Ideal.exists_nonzero_mem_of_ne_bot", "Ideal.exists_pow_inf_eq_pow_smul", "Ideal.exists_radical_pow_le_of_fg", "Ideal.exists_smith_normal_form", "Ideal.ext", "Ideal.factors_decreasing", "Ideal.factors_span_eq", "Ideal.fg_ker_comp", "Ideal.finite_factors", "Ideal.finite_mulSupport", "Ideal.finite_mulSupport_coe", "Ideal.finite_mulSupport_inv", "Ideal.finite_setOf_absNorm_eq", "Ideal.finprod_count", "Ideal.finprod_heightOneSpectrum_factorization", "Ideal.finprod_heightOneSpectrum_factorization_coe", "Ideal.finprod_not_dvd", "Ideal.finrank_prime_pow_ramificationIdx", "Ideal.finrank_quotient_eq_sum", "Ideal.finrank_quotient_map", "Ideal.finset_inf_span_singleton", "Ideal.finsuppTotal_apply", "Ideal.finsuppTotal_apply_eq_of_fintype", "Ideal.fst_comp_quotientInfEquivQuotientProd", "Ideal.gc_map_comap", "Ideal.hasBasis_nhds_adic", "Ideal.hasBasis_nhds_zero_adic", "Ideal.homogeneousCore'_eq_sSup", "Ideal.homogeneousCore'_le", "Ideal.homogeneousCore'_mono", "Ideal.homogeneousCore_eq_sSup", "Ideal.homogeneousHull.gc", "Ideal.homogeneousHull_eq_iSup", "Ideal.homogeneousHull_eq_sInf", "Ideal.homogeneousHull_mono", "Ideal.homogeneous_span", "Ideal.iInf_pow_eq_bot_of_isDomain", "Ideal.iInf_pow_eq_bot_of_localRing", "Ideal.iInf_pow_smul_eq_bot_of_localRing", "Ideal.iInf_span_singleton", "Ideal.iInf_span_singleton_natCast", "Ideal.iInf_sup_eq_top", "Ideal.iSup_iInf_eq_top_iff_pairwise", "Ideal.idealProdEquiv_symm_apply", "Ideal.ideal_prod_eq", "Ideal.ideal_prod_prime", "Ideal.ideal_prod_prime_aux", "Ideal.inertiaDeg_algebraMap", "Ideal.inertiaDeg_of_subsingleton", "Ideal.injective_lift_iff", "Ideal.injective_quotient_le_comap_map", "Ideal.irreducible_of_irreducible_absNorm", "Ideal.isCompactElement_top", "Ideal.isCoprime_biInf", "Ideal.isCoprime_iff_add", "Ideal.isCoprime_iff_codisjoint", "Ideal.isCoprime_iff_exists", "Ideal.isCoprime_iff_gcd", "Ideal.isCoprime_iff_sup_eq", "Ideal.isCoprime_span_singleton_iff", "Ideal.isCoprime_tfae", "Ideal.isHomogeneous_iff_subset_iInter", "Ideal.isIdempotentElem_iff_eq_bot_or_top", "Ideal.isIdempotentElem_iff_eq_bot_or_top_of_localRing", "Ideal.isIdempotentElem_iff_of_fg", "Ideal.isJacobson_iff_prime_eq", "Ideal.isJacobson_iff_sInf_maximal", "Ideal.isJacobson_iff_sInf_maximal'", "Ideal.isJacobson_iso", "Ideal.isJacobson_localization", "Ideal.isJacobson_of_isIntegral", "Ideal.isJacobson_of_surjective", "Ideal.isLocal_iff", "Ideal.isLocal_of_isMaximal_radical", "Ideal.isMaximal_comap_of_isIntegral_of_isMaximal", "Ideal.isMaximal_comap_of_isIntegral_of_isMaximal'", "Ideal.isMaximal_def", "Ideal.isMaximal_iff", "Ideal.isMaximal_iff_isMaximal_disjoint", "Ideal.isMaximal_of_isIntegral_of_isMaximal_comap", "Ideal.isMaximal_of_isIntegral_of_isMaximal_comap'", "Ideal.isMaximal_of_isMaximal_disjoint", "Ideal.isOpen_of_isOpen_subideal", "Ideal.isPrimary_inf", "Ideal.isPrimary_of_isMaximal_radical", "Ideal.isPrime_ideal_prod_top", "Ideal.isPrime_ideal_prod_top'", "Ideal.isPrime_iff", "Ideal.isPrime_iff_bot_or_prime", "Ideal.isPrime_map_C_iff_isPrime", "Ideal.isPrime_map_C_of_isPrime", "Ideal.isPrime_of_irreducible_absNorm", "Ideal.isPrime_of_isPrime_prod_top", "Ideal.isPrime_of_isPrime_prod_top'", "Ideal.isPrime_of_maximally_disjoint", "Ideal.isPrime_of_prime", "Ideal.isPrime_radical", "Ideal.isRadical_bot_of_noZeroDivisors", "Ideal.isRadical_iff_quotient_reduced", "Ideal.isRadical_of_eq_jacobson", "Ideal.isUnit_iff", "Ideal.isUnit_of_sub_one_mem_jacobson_bot", "Ideal.is_fg_degreeLE", "Ideal.jacobson_bot_polynomial_le_sInf_map_maximal", "Ideal.jacobson_bot_polynomial_of_jacobson_bot", "Ideal.jacobson_eq_bot", "Ideal.jacobson_eq_iff_jacobson_quotient_eq_bot", "Ideal.jacobson_eq_self_of_isMaximal", "Ideal.jacobson_mono", "Ideal.jacobson_top", "Ideal.kerLiftAlg_injective", "Ideal.kerLiftAlg_mk", "Ideal.kerLiftAlg_toRingHom", "Ideal.ker_Pi_Quotient_mk", "Ideal.ker_quotient_lift", "Ideal.le_comap_mul", "Ideal.le_comap_of_map_le", "Ideal.le_comap_of_ramificationIdx_ne_zero", "Ideal.le_comap_pow", "Ideal.le_comap_pow_ramificationIdx", "Ideal.le_map_of_comap_le_of_surjective", "Ideal.le_mul_of_no_prime_factors", "Ideal.le_of_localization_maximal", "Ideal.le_of_pow_le_prime", "Ideal.le_radical", "Ideal.le_span_singleton_mul_iff", "Ideal.le_toIdeal_homogeneousHull", "Ideal.leadingCoeffNth_mono", "Ideal.map.isMaximal", "Ideal.mapCotangent_toCotangent", "Ideal.map_bot", "Ideal.map_comap_le", "Ideal.map_comap_of_equiv", "Ideal.map_comap_of_surjective", "Ideal.map_eq_bot_iff_le_ker", "Ideal.map_eq_bot_iff_of_injective", "Ideal.map_eq_iff_sup_ker_eq_of_surjective", "Ideal.map_eq_submodule_map", "Ideal.map_eq_top_iff", "Ideal.map_eq_top_iff_of_ker_le", "Ideal.map_eq_top_or_isMaximal_of_surjective", "Ideal.map_fst_prod", "Ideal.map_iInf_comap_of_surjective", "Ideal.map_iSup_comap_of_surjective", "Ideal.map_id", "Ideal.map_includeLeft_eq", "Ideal.map_includeRight_eq", "Ideal.map_inf_comap_of_surjective", "Ideal.map_inf_le", "Ideal.map_isPrime_of_equiv", "Ideal.map_isPrime_of_surjective", "Ideal.map_jacobson_of_bijective", "Ideal.map_jacobson_of_surjective", "Ideal.map_le_comap_of_inv_on", "Ideal.map_le_comap_of_inverse", "Ideal.map_le_iff_le_comap", "Ideal.map_le_of_le_comap", "Ideal.map_map", "Ideal.map_mk_eq_bot_of_le", "Ideal.map_mono", "Ideal.map_mul", "Ideal.map_ofList", "Ideal.map_of_equiv", "Ideal.map_pi", "Ideal.map_pow", "Ideal.map_prodComm_prod", "Ideal.map_quotient_self", "Ideal.map_radical_of_surjective", "Ideal.map_sInf", "Ideal.map_sSup", "Ideal.map_snd_prod", "Ideal.map_span", "Ideal.map_spanNorm", "Ideal.map_sup", "Ideal.map_sup_comap_of_surjective", "Ideal.map_surjective_of_surjective", "Ideal.map_symm", "Ideal.map_toCotangent_ker", "Ideal.map_top", "Ideal.maximal_of_no_maximal", "Ideal.mem_bot", "Ideal.mem_colon_singleton", "Ideal.mem_comap", "Ideal.mem_homogeneousCore_of_homogeneous_of_mem", "Ideal.mem_iInf", "Ideal.mem_iInf_smul_pow_eq_bot_iff", "Ideal.mem_image_of_mem_map_of_surjective", "Ideal.mem_isPrincipalSubmonoid_iff", "Ideal.mem_jacobson_bot", "Ideal.mem_jacobson_iff", "Ideal.mem_leadingCoeff", "Ideal.mem_leadingCoeffNth", "Ideal.mem_leadingCoeffNth_zero", "Ideal.mem_map_C_iff", "Ideal.mem_map_iff_of_surjective", "Ideal.mem_map_of_mem", "Ideal.mem_mul_span_singleton", "Ideal.mem_normalizedFactors_iff", "Ideal.mem_of_one_mem", "Ideal.mem_pi", "Ideal.mem_prime_of_mul_mem_pow", "Ideal.mem_quotient_iff_mem_sup", "Ideal.mem_radical_iff", "Ideal.mem_sInf", "Ideal.mem_sSup_of_mem", "Ideal.mem_span", "Ideal.mem_span_insert", "Ideal.mem_span_pair", "Ideal.mem_span_singleton", "Ideal.mem_span_singleton'", "Ideal.mem_span_singleton_mul", "Ideal.mem_span_singleton_self", "Ideal.mem_span_singleton_sup", "Ideal.mem_toCotangent_ker", "Ideal.minimalPrimes_eq_comap", "Ideal.minimalPrimes_eq_subsingleton", "Ideal.minimalPrimes_eq_subsingleton_self", "Ideal.minimal_primes_comap_of_surjective", "Ideal.mk_ker", "Ideal.mul_add_mem_pow_succ_inj", "Ideal.mul_add_mem_pow_succ_unique", "Ideal.mul_assoc", "Ideal.mul_bot", "Ideal.mul_comm", "Ideal.mul_eq_bot", "Ideal.mul_eq_inf_of_coprime", "Ideal.mul_homogeneous_element_mem_of_mem", "Ideal.mul_le", "Ideal.mul_le_left", "Ideal.mul_le_right", "Ideal.mul_left_self_sup", "Ideal.mul_mem_left", "Ideal.mul_mem_mul", "Ideal.mul_mem_mul_rev", "Ideal.mul_mem_right", "Ideal.mul_mono_right", "Ideal.mul_sub_mul_mem", "Ideal.mul_sup", "Ideal.mul_sup_eq_of_coprime_left", "Ideal.mul_sup_eq_of_coprime_right", "Ideal.mul_top", "Ideal.mul_unit_mem_iff_mem", "Ideal.multiset_prod_eq_bot", "Ideal.multiset_prod_le_inf", "Ideal.multiset_prod_span_singleton", "Ideal.natAbs_det_basis_change", "Ideal.natAbs_det_equiv", "Ideal.ne_top_iff_one", "Ideal.norm_dvd_iff", "Ideal.norm_mem_relNorm", "Ideal.norm_mem_spanNorm", "Ideal.not_isPrime_iff", "Ideal.ofList_append", "Ideal.ofList_cons", "Ideal.ofList_cons_smul", "Ideal.ofList_nil", "Ideal.ofList_singleton", "Ideal.one_eq_top", "Ideal.pi_quotient_surjective", "Ideal.polynomialQuotientEquivQuotientPolynomial_map_mk", "Ideal.polynomialQuotientEquivQuotientPolynomial_symm_mk", "Ideal.polynomial_mem_ideal_of_coeff_mem_ideal", "Ideal.polynomial_not_isField", "Ideal.powQuotSuccInclusion_injective", "Ideal.pow_le_pow_right", "Ideal.pow_le_prime_iff", "Ideal.pow_le_self", "Ideal.pow_lt_self", "Ideal.pow_mem_of_mem", "Ideal.pow_mem_of_pow_mem", "Ideal.pow_multiset_sum_mem_span_pow", "Ideal.pow_right_mono", "Ideal.pow_right_strictAnti", "Ideal.pow_succ_lt_pow", "Ideal.pow_sup_eq_top", "Ideal.pow_sup_pow_eq_top", "Ideal.primeCompl_le_nonZeroDivisors", "Ideal.prime_generator_of_prime", "Ideal.prime_iff_isPrime", "Ideal.prime_of_irreducible_absNorm_span", "Ideal.prime_of_isPrime", "Ideal.prime_span_singleton_iff", "Ideal.prod.ext_iff", "Ideal.prod_le_inf", "Ideal.prod_le_prime", "Ideal.prod_mem_prod", "Ideal.prod_span", "Ideal.prod_span_singleton", "Ideal.prod_top_top", "Ideal.quotEquivOfEq_mk", "Ideal.quotEquivOfEq_symm", "Ideal.quotTorsionOfEquivSpanSingleton_apply_mk", "Ideal.quotientEquivAlgOfEq_mk", "Ideal.quotientEquivAlgOfEq_symm", "Ideal.quotientEquiv_symm_mk", "Ideal.quotientInfEquivQuotientProd_fst", "Ideal.quotientInfEquivQuotientProd_snd", "Ideal.quotientInfToPiQuotient_inj", "Ideal.quotientInfToPiQuotient_surj", "Ideal.quotientMap_comp_mk", "Ideal.quotientMap_injective", "Ideal.quotientMap_injective'", "Ideal.quotientMap_mk", "Ideal.quotientMap_surjective", "Ideal.quotientToQuotientRangePowQuotSucc_injective", "Ideal.quotientToQuotientRangePowQuotSucc_mk", "Ideal.quotientToQuotientRangePowQuotSucc_surjective", "Ideal.quotient_map_C_eq_zero", "Ideal.quotient_map_comp_mk\u2090", "Ideal.quotient_map_mk\u2090", "Ideal.quotient_mk_maps_eq", "Ideal.radical_eq_iff", "Ideal.radical_eq_jacobson", "Ideal.radical_eq_jacobson_iff_radical_quotient_eq_jacobson_bot", "Ideal.radical_eq_sInf", "Ideal.radical_eq_top", "Ideal.radical_inf", "Ideal.radical_isRadical", "Ideal.radical_le_radical_iff", "Ideal.radical_minimalPrimes", "Ideal.radical_mono", "Ideal.radical_mul", "Ideal.radical_pow", "Ideal.radical_sup", "Ideal.radical_top", "Ideal.ramificationIdx_eq_find", "Ideal.ramificationIdx_eq_zero", "Ideal.ramificationIdx_lt", "Ideal.ramificationIdx_ne_zero", "Ideal.ramificationIdx_of_not_le", "Ideal.ramificationIdx_spec", "Ideal.range_finsuppTotal", "Ideal.rank_eq", "Ideal.rank_pow_quot", "Ideal.rank_pow_quot_aux", "Ideal.rank_prime_pow_ramificationIdx", "Ideal.relNorm_apply", "Ideal.relNorm_bot", "Ideal.relNorm_eq_bot_iff", "Ideal.relNorm_singleton", "Ideal.relNorm_top", "Ideal.sInf_isPrime_of_isChain", "Ideal.sInf_minimalPrimes", "Ideal.smithCoeffs_ne_zero", "Ideal.smul_eq_mul", "Ideal.smul_restrictScalars", "Ideal.smul_top_eq_map", "Ideal.snd_comp_quotientInfEquivQuotientProd", "Ideal.snd_comp_quotientMulEquivQuotientProd", "Ideal.spanNorm_eq_bot_iff", "Ideal.spanNorm_localization", "Ideal.spanNorm_mono", "Ideal.spanNorm_mul", "Ideal.spanNorm_mul_of_bot_or_top", "Ideal.spanNorm_mul_of_field", "Ideal.spanNorm_mul_spanNorm_le", "Ideal.spanNorm_singleton", "Ideal.spanNorm_top", "Ideal.span_empty", "Ideal.span_eq", "Ideal.span_eq_bot", "Ideal.span_eq_top_iff_finite", "Ideal.span_iUnion", "Ideal.span_insert", "Ideal.span_le", "Ideal.span_mono", "Ideal.span_mul_span", "Ideal.span_mul_span'", "Ideal.span_one", "Ideal.span_pair_add_mul_left", "Ideal.span_pair_add_mul_right", "Ideal.span_pair_comm", "Ideal.span_pair_mul_span_pair", "Ideal.span_pow_eq_top", "Ideal.span_singleton_absNorm", "Ideal.span_singleton_absNorm_le", "Ideal.span_singleton_eq_bot", "Ideal.span_singleton_eq_span_singleton", "Ideal.span_singleton_eq_top", "Ideal.span_singleton_generator", "Ideal.span_singleton_le_iff_mem", "Ideal.span_singleton_le_span_singleton", "Ideal.span_singleton_lt_span_singleton", "Ideal.span_singleton_mem_isPrincipalSubmonoid", "Ideal.span_singleton_mul_eq_span_singleton_mul", "Ideal.span_singleton_mul_le_iff", "Ideal.span_singleton_mul_le_span_singleton_mul", "Ideal.span_singleton_mul_left_inj", "Ideal.span_singleton_mul_left_injective", "Ideal.span_singleton_mul_left_mono", "Ideal.span_singleton_mul_left_unit", "Ideal.span_singleton_mul_right_inj", "Ideal.span_singleton_mul_right_injective", "Ideal.span_singleton_mul_right_mono", "Ideal.span_singleton_mul_right_unit", "Ideal.span_singleton_mul_span_singleton", "Ideal.span_singleton_neg", "Ideal.span_singleton_one", "Ideal.span_singleton_pow", "Ideal.span_singleton_prime", "Ideal.span_union", "Ideal.span_univ", "Ideal.span_zero", "Ideal.squarefree_span_singleton", "Ideal.stableFiltration_stable", "Ideal.sub_mem", "Ideal.submodule_span_eq", "Ideal.subset_span", "Ideal.subset_union_prime", "Ideal.subset_union_prime'", "Ideal.sum_mem", "Ideal.sum_pow_mem_span_pow", "Ideal.sum_ramification_inertia", "Ideal.sup_eq_top_iff_isCoprime", "Ideal.sup_iInf_eq_top", "Ideal.sup_mul", "Ideal.sup_mul_eq_of_coprime_left", "Ideal.sup_mul_eq_of_coprime_right", "Ideal.sup_mul_inf", "Ideal.sup_mul_right_self", "Ideal.sup_pow_eq_top", "Ideal.sup_prod_eq_top", "Ideal.toCharacterSpace_apply_eq_zero_of_mem", "Ideal.toCotangent_eq", "Ideal.toCotangent_eq_zero", "Ideal.toCotangent_range", "Ideal.toCotangent_surjective", "Ideal.toIdeal_homogeneousCore_le", "Ideal.toIdeal_homogeneousHull_eq_iSup", "Ideal.to_quotient_square_range", "Ideal.top_mul", "Ideal.top_pow", "Ideal.torsionOf_eq_bot_iff_of_noZeroSMulDivisors", "Ideal.torsionOf_eq_span_pow_pOrder", "Ideal.torsionOf_eq_top_iff", "Ideal.torsionOf_zero", "Ideal.unit_mul_mem_iff_mem", "Ideal.zero_eq_bot", "Ideal.zero_mem", "Ideal.zero_ne_one_of_proper", "Iff.comm", "Iff.ne", "Iff.ne_left", "Iff.ne_right", "Iff.not_left", "Iff.not_right", "Iff.of_eq", "Iff.refl", "Iff.rfl", "Iff.symm", "Iff.trans", "Iic_mem_nhdsSet_Ico", "Iic_mem_nhdsSet_Iic_iff", "Iic_mem_nhdsSet_Ioc", "Iic_toDual", "Iio_mem_nhds", "Iio_mem_nhdsSet_Icc", "Iio_mem_nhdsSet_Ioc", "Iio_ofDual", "Iio_toDual", "Image.isSubfield", "Imp.swap", "ImplicitFunctionData.hasStrictFDerivAt", "ImplicitFunctionData.implicitFunction_hasStrictFDerivAt", "ImplicitFunctionData.left_map_implicitFunction", "ImplicitFunctionData.map_nhds_eq", "ImplicitFunctionData.map_pt_mem_toPartialHomeomorph_target", "ImplicitFunctionData.prodFun_apply", "ImplicitFunctionData.right_map_implicitFunction", "ImplicitFunctionData.toPartialHomeomorph_apply", "IndepMatroid.ofBddAugment_E", "IndepMatroid.ofBddAugment_indep", "IndepMatroid.ofBdd_indep", "IndepMatroid.ofFinitary_indep", "IndepMatroid.ofFinite_E", "IndepMatroid.ofFinset_indep", "IndepMatroid.ofFinset_indep'", "IndexedPartition.class_of", "IndexedPartition.equivQuotient_index_apply", "IndexedPartition.iUnion", "IndexedPartition.out_proj", "IndexedPartition.piecewise_bij", "IndexedPartition.piecewise_inj", "IndexedPartition.proj_eq_iff", "IndexedPartition.proj_fiber", "IndexedPartition.proj_some_index", "IndexedPartition.some_index", "Inducing.alexandrovDiscrete", "Inducing.codRestrict", "Inducing.comp", "Inducing.continuous", "Inducing.continuousAt_iff'", "Inducing.continuousInv", "Inducing.continuousMul", "Inducing.continuousOn_iff", "Inducing.continuousSMul", "Inducing.continuousWithinAt_iff", "Inducing.continuous_iff", "Inducing.dense_iff", "Inducing.embedding", "Inducing.firstCountableTopology", "Inducing.frechetUrysohnSpace", "Inducing.hasProd_iff", "Inducing.image_mem_nhdsWithin", "Inducing.injective", "Inducing.inseparable_iff", "Inducing.isClosedMap", "Inducing.isClosed_iff", "Inducing.isClosed_iff'", "Inducing.isClosed_preimage", "Inducing.isCompact_iff", "Inducing.isCompact_preimage", "Inducing.isCompact_preimage_iff", "Inducing.isLindelof_iff", "Inducing.isOpenMap", "Inducing.isOpen_iff", "Inducing.isPathConnected_iff", "Inducing.isPreconnected_image", "Inducing.isSeparable_preimage", "Inducing.isSigmaCompact_iff", "Inducing.mapClusterPt_iff", "Inducing.map_nhds_eq", "Inducing.multipliable_iff_tprod_comp_mem_range", "Inducing.nhdsSet_eq_comap", "Inducing.nhds_eq_comap", "Inducing.noetherianSpace", "Inducing.of_codRestrict", "Inducing.of_comp_iff", "Inducing.of_subsingleton", "Inducing.prod_map", "Inducing.r0Space", "Inducing.r1Space", "Inducing.regularSpace", "Inducing.specializes_iff", "Inducing.tendsto_nhds_iff", "Inducing.topologicalGroup", "InfClosed.codirectedOn", "InfClosed.finsetInf_mem", "InfClosed.image", "InfClosed.inter", "InfClosed.preimage", "InfClosed.prod", "InfHom.bot_apply", "InfHom.coe_bot", "InfHom.coe_comp", "InfHom.coe_const", "InfHom.coe_copy", "InfHom.coe_id", "InfHom.coe_mk", "InfHom.coe_top", "InfHom.comp_apply", "InfHom.comp_id", "InfHom.copy_eq", "InfHom.dual_comp", "InfHom.ext", "InfHom.id_apply", "InfHom.id_comp", "InfHom.symm_dual_comp", "InfHom.top_apply", "InfHom.withBot_comp", "InfHom.withBot_id", "InfHom.withTop_comp", "InfHom.withTop_id", "InfIrred.finset_inf_eq", "InfPrime.finset_inf_le", "InfPrime.infIrred", "InfPrime.inf_le", "InfPrime.ne_top", "InfTopHom.cancel_left", "InfTopHom.cancel_right", "InfTopHom.coe_comp", "InfTopHom.coe_inf", "InfTopHom.coe_mk", "InfTopHom.coe_toInfHom", "InfTopHom.coe_top", "InfTopHom.comp_id", "InfTopHom.copy_eq", "InfTopHom.dual_id", "InfTopHom.ext", "InfTopHom.id_apply", "InfTopHom.id_comp", "InfTopHom.symm_dual_id", "InfTopHom.top_apply", "Infinite.exists_subset_card_eq", "Infinite.exists_superset_card_eq", "Infinite.false", "Infinite.natEmbeddingAux_injective", "Infinite.nonempty", "Infinite.nonempty_field", "Infinite.of_injective", "Infinite.of_injective_to_set", "Infinite.of_not_fintype", "Infinite.of_surjective", "Infinite.of_surjective_from_set", "Infinite.orderOf_eq_zero_of_forall_mem_zpowers", "InitialSeg.acc", "InitialSeg.antisymm_toFun", "InitialSeg.coe_coe_fn", "InitialSeg.eq", "InitialSeg.eq_or_principal", "InitialSeg.ext", "InitialSeg.init", "InitialSeg.init_iff", "InitialSeg.ltOrEq_apply_left", "InitialSeg.ltOrEq_apply_right", "InitialSeg.map_rel_iff", "InitialSeg.refl_apply", "InitialSeg.trans_apply", "InnerProductGeometry.IsConformalMap.preserves_angle", "InnerProductGeometry.angle_add_angle_eq_pi_of_angle_eq_pi", "InnerProductGeometry.angle_add_angle_sub_add_angle_sub_eq_pi", "InnerProductGeometry.angle_add_eq_arccos_of_inner_eq_zero", "InnerProductGeometry.angle_add_eq_arcsin_of_inner_eq_zero", "InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero", "InnerProductGeometry.angle_add_le_pi_div_two_of_inner_eq_zero", "InnerProductGeometry.angle_add_lt_pi_div_two_of_inner_eq_zero", "InnerProductGeometry.angle_add_pos_of_inner_eq_zero", "InnerProductGeometry.angle_comm", "InnerProductGeometry.angle_eq_pi_iff", "InnerProductGeometry.angle_eq_zero_iff", "InnerProductGeometry.angle_le_pi", "InnerProductGeometry.angle_neg_left", "InnerProductGeometry.angle_neg_neg", "InnerProductGeometry.angle_neg_right", "InnerProductGeometry.angle_neg_self_of_nonzero", "InnerProductGeometry.angle_nonneg", "InnerProductGeometry.angle_self", "InnerProductGeometry.angle_self_neg_of_nonzero", "InnerProductGeometry.angle_smul_left_of_neg", "InnerProductGeometry.angle_smul_left_of_pos", "InnerProductGeometry.angle_smul_right_of_neg", "InnerProductGeometry.angle_smul_right_of_pos", "InnerProductGeometry.angle_smul_smul", "InnerProductGeometry.angle_sub_eq_angle_sub_rev_of_norm_eq", "InnerProductGeometry.angle_sub_eq_arccos_of_inner_eq_zero", "InnerProductGeometry.angle_sub_eq_arcsin_of_inner_eq_zero", "InnerProductGeometry.angle_sub_eq_arctan_of_inner_eq_zero", "InnerProductGeometry.angle_sub_le_pi_div_two_of_inner_eq_zero", "InnerProductGeometry.angle_sub_lt_pi_div_two_of_inner_eq_zero", "InnerProductGeometry.angle_sub_pos_of_inner_eq_zero", "InnerProductGeometry.angle_zero_left", "InnerProductGeometry.angle_zero_right", "InnerProductGeometry.continuousAt_angle", "InnerProductGeometry.cos_angle_add_angle_sub_add_angle_sub_eq_neg_one", "InnerProductGeometry.cos_angle_add_mul_norm_of_inner_eq_zero", "InnerProductGeometry.cos_angle_add_of_inner_eq_zero", "InnerProductGeometry.cos_angle_mul_norm_mul_norm", "InnerProductGeometry.cos_angle_sub_add_angle_sub_rev_eq_neg_cos_angle", "InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero", "InnerProductGeometry.cos_angle_sub_of_inner_eq_zero", "InnerProductGeometry.cos_eq_neg_one_iff_angle_eq_pi", "InnerProductGeometry.cos_eq_one_iff_angle_eq_zero", "InnerProductGeometry.cos_eq_zero_iff_angle_eq_pi_div_two", "InnerProductGeometry.inner_eq_mul_norm_iff_angle_eq_zero", "InnerProductGeometry.inner_eq_mul_norm_of_angle_eq_zero", "InnerProductGeometry.inner_eq_neg_mul_norm_iff_angle_eq_pi", "InnerProductGeometry.inner_eq_neg_mul_norm_of_angle_eq_pi", "InnerProductGeometry.inner_eq_zero_iff_angle_eq_pi_div_two", "InnerProductGeometry.mul_norm_eq_abs_sub_sq_norm", "InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero", "InnerProductGeometry.norm_add_eq_add_norm_of_angle_eq_zero", "InnerProductGeometry.norm_add_eq_norm_sub_iff_angle_eq_pi_div_two", "InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq'", "InnerProductGeometry.norm_add_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two", "InnerProductGeometry.norm_div_cos_angle_add_of_inner_eq_zero", "InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero", "InnerProductGeometry.norm_div_sin_angle_add_of_inner_eq_zero", "InnerProductGeometry.norm_div_sin_angle_sub_of_inner_eq_zero", "InnerProductGeometry.norm_div_tan_angle_add_of_inner_eq_zero", "InnerProductGeometry.norm_div_tan_angle_sub_of_inner_eq_zero", "InnerProductGeometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi", "InnerProductGeometry.norm_sub_eq_abs_sub_norm_iff_angle_eq_zero", "InnerProductGeometry.norm_sub_eq_abs_sub_norm_of_angle_eq_zero", "InnerProductGeometry.norm_sub_eq_add_norm_iff_angle_eq_pi", "InnerProductGeometry.norm_sub_eq_add_norm_of_angle_eq_pi", "InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq'", "InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_iff_angle_eq_pi_div_two", "InnerProductGeometry.norm_sub_sq_eq_norm_sq_add_norm_sq_sub_two_mul_norm_mul_norm_mul_cos_angle", "InnerProductGeometry.sin_angle_add_angle_sub_add_angle_sub_eq_zero", "InnerProductGeometry.sin_angle_add_mul_norm_of_inner_eq_zero", "InnerProductGeometry.sin_angle_add_of_inner_eq_zero", "InnerProductGeometry.sin_angle_mul_norm_mul_norm", "InnerProductGeometry.sin_angle_sub_add_angle_sub_rev_eq_sin_angle", "InnerProductGeometry.sin_angle_sub_mul_norm_of_inner_eq_zero", "InnerProductGeometry.sin_angle_sub_of_inner_eq_zero", "InnerProductGeometry.sin_eq_one_iff_angle_eq_pi_div_two", "InnerProductGeometry.sin_eq_zero_iff_angle_eq_zero_or_angle_eq_pi", "InnerProductGeometry.tan_angle_add_mul_norm_of_inner_eq_zero", "InnerProductGeometry.tan_angle_add_of_inner_eq_zero", "InnerProductGeometry.tan_angle_sub_mul_norm_of_inner_eq_zero", "InnerProductGeometry.tan_angle_sub_of_inner_eq_zero", "InnerProductSpace.Core.cauchy_schwarz_aux", "InnerProductSpace.Core.inner_add_add_self", "InnerProductSpace.Core.inner_add_right", "InnerProductSpace.Core.inner_conj_symm", "InnerProductSpace.Core.inner_im_symm", "InnerProductSpace.Core.inner_mul_inner_self_le", "InnerProductSpace.Core.inner_mul_symm_re_eq_norm", "InnerProductSpace.Core.inner_neg_left", "InnerProductSpace.Core.inner_neg_right", "InnerProductSpace.Core.inner_re_symm", "InnerProductSpace.Core.inner_self_eq_norm_mul_norm", "InnerProductSpace.Core.inner_self_im", "InnerProductSpace.Core.inner_self_ne_zero", "InnerProductSpace.Core.inner_self_nonneg", "InnerProductSpace.Core.inner_self_ofReal_re", "InnerProductSpace.Core.inner_smul_left", "InnerProductSpace.Core.inner_smul_right", "InnerProductSpace.Core.inner_sub_left", "InnerProductSpace.Core.inner_sub_right", "InnerProductSpace.Core.inner_sub_sub_self", "InnerProductSpace.Core.inner_zero_left", "InnerProductSpace.Core.inner_zero_right", "InnerProductSpace.Core.normSq_eq_zero", "InnerProductSpace.Core.norm_eq_sqrt_inner", "InnerProductSpace.Core.norm_inner_le_norm", "InnerProductSpace.Core.norm_inner_symm", "InnerProductSpace.Core.ofReal_normSq_eq_inner_self", "InnerProductSpace.Core.sqrt_normSq_eq_norm", "InnerProductSpace.continuousLinearMapOfBilin_apply", "InnerProductSpace.ext_inner_left_basis", "InnerProductSpace.ext_inner_right_basis", "InnerProductSpace.innerSL_norm", "InnerProductSpace.toDual_apply", "InnerProductSpace.toDual_symm_apply", "InnerProductSpace.toInnerProductSpaceable", "InnerProductSpace.unique_continuousLinearMapOfBilin", "InnerProductSpace.volume_ball", "InnerProductSpace.volume_closedBall", "InnerProductSpaceable.I_prop", "InnerProductSpaceable.add_left", "InnerProductSpaceable.add_left_aux1", "InnerProductSpaceable.add_left_aux2", "InnerProductSpaceable.add_left_aux3", "InnerProductSpaceable.add_left_aux4", "InnerProductSpaceable.add_left_aux4'", "InnerProductSpaceable.add_left_aux5", "InnerProductSpaceable.add_left_aux6", "InnerProductSpaceable.add_left_aux7", "InnerProductSpaceable.add_left_aux8", "InnerProductSpaceable.innerProp", "InnerProductSpaceable.innerProp_neg_one", "InnerProductSpaceable.inner_.conj_symm", "InnerProductSpaceable.inner_.norm_sq", "InnerProductSpaceable.int_prop", "InnerProductSpaceable.nat", "InnerProductSpaceable.nat_prop", "InnerProductSpaceable.rat_prop", "InnerProductSpaceable.real_prop", "Inseparable.const_smul", "Inseparable.map", "Inseparable.map_of_continuousAt", "Inseparable.mem_closed_iff", "Inseparable.mem_measurableSet_iff", "Inseparable.mem_open_iff", "Inseparable.mul", "Inseparable.of_eq", "Inseparable.pow", "Inseparable.prod", "Inseparable.refl", "Inseparable.rfl", "Inseparable.smul", "Inseparable.specializes", "Inseparable.symm", "Int.Icc_eq_finset_map", "Int.Ico_filter_dvd_card", "Int.Ico_filter_dvd_eq", "Int.Ico_filter_modEq_card", "Int.Ico_filter_modEq_eq", "Int.Ioc_eq_finset_map", "Int.Ioc_filter_dvd_card", "Int.Ioc_filter_dvd_eq", "Int.Ioc_filter_modEq_card", "Int.Ioc_filter_modEq_eq", "Int.Ioo_eq_finset_map", "Int.Matrix.N_le_P_add_one", "Int.Matrix.card_S_eq", "Int.Matrix.card_S_lt_card_T", "Int.Matrix.card_T_eq", "Int.Matrix.exists_ne_zero_int_vec_norm_le", "Int.Matrix.image_T_subset_S", "Int.Matrix.one_le_norm_A_of_ne_zero", "Int.ModEq.add", "Int.ModEq.add_left_cancel", "Int.ModEq.add_left_cancel'", "Int.ModEq.add_right_cancel", "Int.ModEq.add_right_cancel'", "Int.ModEq.cancel_left_div_gcd", "Int.ModEq.cancel_right_div_gcd", "Int.ModEq.eq", "Int.ModEq.mul", "Int.ModEq.mul_left", "Int.ModEq.mul_left'", "Int.ModEq.mul_right'", "Int.ModEq.neg", "Int.ModEq.of_div", "Int.ModEq.of_mul_left", "Int.ModEq.of_mul_right", "Int.ModEq.pow", "Int.ModEq.pow_card_sub_one_eq_one", "Int.ModEq.rfl", "Int.ModEq.sub", "Int.ModEq.sub_left", "Int.ModEq.sub_right", "Int.ModEq.symm", "Int.ModEq.trans", "Int.Odd.of_mul_left", "Int.Odd.of_mul_right", "Int.Prime.dvd_mul", "Int.Prime.dvd_mul'", "Int.Prime.dvd_natAbs_of_coe_dvd_sq", "Int.Prime.dvd_pow", "Int.Prime.dvd_pow'", "Int.abs_ediv_le_abs", "Int.abs_eq_natAbs", "Int.abs_eq_normalize", "Int.abs_le_floor_nnreal_iff", "Int.abs_le_one_iff", "Int.abs_lt_one_iff", "Int.abs_natCast", "Int.abs_negOnePow", "Int.abs_one_sub_fract", "Int.abs_sign_of_nonzero", "Int.abs_sub_lt_one_of_floor_eq_floor", "Int.addLeft_one_isCycle", "Int.addRight_one_isCycle", "Int.addSubmonoid_closure_range_mul_self", "Int.addSubmonoid_closure_range_pow", "Int.add_assoc", "Int.add_emod_eq_add_mod_right", "Int.add_le_iff_le_sub", "Int.add_le_zero_iff_le_neg", "Int.add_le_zero_iff_le_neg'", "Int.add_modEq_left", "Int.add_mul", "Int.add_nonnneg_iff_neg_le'", "Int.add_one_ediv_two_mul_two_of_odd", "Int.add_one_le_of_not_le", "Int.add_sub_assoc", "Int.add_two_le_iff_lt_of_even_sub", "Int.alternating_sum_range_choose", "Int.alternating_sum_range_choose_of_ne", "Int.associated_iff", "Int.associated_iff_natAbs", "Int.ball_eq_Ioo", "Int.bit0_val", "Int.bit1_ne_bit0", "Int.bit1_ne_zero", "Int.bit1_val", "Int.bit_coe_nat", "Int.bit_negSucc", "Int.bit_val", "Int.bit_zero", "Int.bitwise_and", "Int.bitwise_bit", "Int.bitwise_diff", "Int.bitwise_or", "Int.bitwise_xor", "Int.bodd_add", "Int.bodd_add_div2", "Int.bodd_bit0", "Int.bodd_coe", "Int.bodd_mul", "Int.bodd_neg", "Int.bodd_negOfNat", "Int.bodd_subNatNat", "Int.bodd_two", "Int.bodd_zero", "Int.card_Icc_of_le", "Int.card_Ico", "Int.card_Ico_of_le", "Int.card_Ioc_of_le", "Int.card_Ioo", "Int.card_Ioo_of_lt", "Int.card_box", "Int.card_fintype_Icc", "Int.card_fintype_Icc_of_le", "Int.card_fintype_Ico", "Int.card_fintype_Ico_of_le", "Int.card_fintype_Ioc", "Int.card_fintype_Ioc_of_le", "Int.card_fintype_Ioo", "Int.card_fintype_Ioo_of_lt", "Int.card_uIcc", "Int.castAddHom_int", "Int.castRingHom_int", "Int.cast_abs", "Int.cast_add", "Int.cast_bit0", "Int.cast_bit1", "Int.cast_comm", "Int.cast_commute", "Int.cast_div", "Int.cast_div_charZero", "Int.cast_div_ofNat_charZero", "Int.cast_dvd_cast", "Int.cast_eq_one", "Int.cast_eq_zero", "Int.cast_id", "Int.cast_inj", "Int.cast_injOn_of_ringChar_ne_two", "Int.cast_injective", "Int.cast_ite", "Int.cast_le", "Int.cast_le_neg_one_of_neg", "Int.cast_list_prod", "Int.cast_list_sum", "Int.cast_lt", "Int.cast_lt_zero", "Int.cast_max", "Int.cast_mono", "Int.cast_mul", "Int.cast_mul_eq_zsmul_cast", "Int.cast_multiset_prod", "Int.cast_multiset_sum", "Int.cast_natAbs", "Int.cast_natCast", "Int.cast_ne_one", "Int.cast_ne_zero", "Int.cast_neg", "Int.cast_negOfNat", "Int.cast_negSucc", "Int.cast_neg_natCast", "Int.cast_nonneg", "Int.cast_nonpos", "Int.cast_npow", "Int.cast_ofNat", "Int.cast_one", "Int.cast_one_le_of_pos", "Int.cast_pos", "Int.cast_pow", "Int.cast_prod", "Int.cast_strictMono", "Int.cast_sub", "Int.cast_subNatNat", "Int.cast_two", "Int.cast_zero", "Int.ceil_add_ceil_le", "Int.ceil_add_int", "Int.ceil_add_le", "Int.ceil_add_nat", "Int.ceil_add_one", "Int.ceil_congr", "Int.ceil_eq_add_one_sub_fract", "Int.ceil_eq_iff", "Int.ceil_eq_zero_iff", "Int.ceil_int", "Int.ceil_intCast", "Int.ceil_le", "Int.ceil_le_floor_add_one", "Int.ceil_lt_add_one", "Int.ceil_natCast", "Int.ceil_neg", "Int.ceil_ofNat", "Int.ceil_one", "Int.ceil_pos", "Int.ceil_sub_int", "Int.ceil_sub_ofNat", "Int.ceil_sub_one", "Int.ceil_sub_self_eq", "Int.ceil_toNat", "Int.clog_inv", "Int.clog_mono_right", "Int.clog_natCast", "Int.clog_ofNat", "Int.clog_of_left_le_one", "Int.clog_of_one_le_right", "Int.clog_of_right_le_one", "Int.clog_of_right_le_zero", "Int.clog_one_right", "Int.clog_zero_right", "Int.clog_zpow", "Int.closedBall_eq_Icc", "Int.closedEmbedding_coe_real", "Int.cobounded_eq", "Int.coe_castAddHom", "Int.coe_castRingHom", "Int.coe_gcd", "Int.coe_greatestOfBdd_eq", "Int.coe_lcm", "Int.coe_leastOfBdd_eq", "Int.coe_nat_lcm", "Int.coe_negOnePow", "Int.cofinite_eq", "Int.comap_cast_atBot", "Int.commute_cast", "Int.coprime_iff_nat_coprime", "Int.coprime_of_sq_sum", "Int.coprime_of_sq_sum'", "Int.covBy_add_one", "Int.covBy_iff_succ_eq", "Int.csInf_empty", "Int.csInf_eq_least_of_bdd", "Int.csInf_mem", "Int.csSup_empty", "Int.csSup_eq_greatest_of_bdd", "Int.csSup_mem", "Int.csSup_of_not_bdd_above", "Int.dist_cast_real", "Int.dist_eq", "Int.dist_eq'", "Int.div2_bit", "Int.div2_val", "Int.div_dvd_iff_dvd_mul", "Int.div_eq_ediv_of_dvd", "Int.dvd_div_of_mul_dvd", "Int.dvd_gcd", "Int.dvd_mul_of_div_dvd", "Int.dvd_mul_right", "Int.dvd_natAbs", "Int.dvd_natCast", "Int.dvd_neg", "Int.dvd_of_dvd_mul_left_of_gcd_one", "Int.dvd_of_dvd_mul_right_of_gcd_one", "Int.dvd_of_mul_dvd_mul_left", "Int.dvd_of_mul_dvd_mul_right", "Int.dvd_sub_of_emod_eq", "Int.ediv_dvd_ediv", "Int.ediv_dvd_of_dvd", "Int.ediv_eq_zero_of_lt_abs", "Int.ediv_mul_cancel", "Int.ediv_neg", "Int.ediv_of_neg_of_pos", "Int.emod_abs", "Int.emod_add_ediv", "Int.emod_emod_of_dvd", "Int.emod_eq_of_lt", "Int.emod_lt", "Int.emod_lt_of_pos", "Int.emod_nonneg", "Int.emod_two_eq_zero_or_one", "Int.emod_two_ne_one", "Int.emod_two_ne_zero", "Int.eq_mul_div_of_mul_eq_mul_of_dvd_left", "Int.eq_nat_or_neg", "Int.eq_ofNat_of_zero_le", "Int.eq_of_mul_eq_one", "Int.eq_one_or_neg_one_of_mul_eq_neg_one'", "Int.eq_one_or_neg_one_of_mul_eq_one", "Int.eq_one_or_neg_one_of_mul_eq_one'", "Int.eq_pow_of_mul_eq_pow_bit1", "Int.eq_pow_of_mul_eq_pow_bit1_left", "Int.eq_pow_of_mul_eq_pow_bit1_right", "Int.eq_zero_of_abs_lt_dvd", "Int.eq_zero_of_dvd_of_natAbs_lt_natAbs", "Int.eq_zero_of_dvd_of_nonneg_of_lt", "Int.eq_zero_or_eq_zero_of_mul_eq_zero", "Int.even_add", "Int.even_add'", "Int.even_add_one", "Int.even_coe_nat", "Int.even_iff", "Int.even_iff_not_odd", "Int.even_mul", "Int.even_or_odd", "Int.even_or_odd'", "Int.even_pow", "Int.even_sub", "Int.even_sub'", "Int.even_sub_one", "Int.even_xor'_odd", "Int.even_xor'_odd'", "Int.existsUnique_mem_box", "Int.exists_gcd_one", "Int.exists_gcd_one'", "Int.exists_greatest_of_bdd", "Int.exists_least_of_bdd", "Int.exists_lt_and_lt_iff_not_dvd", "Int.exists_mul_self", "Int.exists_prime_and_dvd", "Int.exists_sq_add_sq_add_one_eq_mul", "Int.exists_strictAnti", "Int.exists_strictMono", "Int.exists_unique_equiv", "Int.exists_unique_equiv_nat", "Int.exists_unit_of_abs", "Int.floorRing_ceil_eq", "Int.floor_add_fract", "Int.floor_add_int", "Int.floor_add_nat", "Int.floor_add_ofNat", "Int.floor_add_one", "Int.floor_congr", "Int.floor_eq_iff", "Int.floor_eq_on_Ico", "Int.floor_eq_on_Ico'", "Int.floor_eq_zero_iff", "Int.floor_fract", "Int.floor_intCast", "Int.floor_int_add", "Int.floor_le", "Int.floor_le_ceil", "Int.floor_le_floor", "Int.floor_le_neg_one_iff", "Int.floor_lt", "Int.floor_mono", "Int.floor_natCast", "Int.floor_nat_add", "Int.floor_neg", "Int.floor_nonneg", "Int.floor_nonpos", "Int.floor_ofNat", "Int.floor_ofNat_add", "Int.floor_one", "Int.floor_pos", "Int.floor_sub_int", "Int.floor_sub_nat", "Int.floor_sub_ofNat", "Int.floor_sub_one", "Int.floor_toNat", "Int.floor_zero", "Int.four_dvd_add_or_sub_of_odd", "Int.fract_add", "Int.fract_add_fract_le", "Int.fract_add_int", "Int.fract_add_le", "Int.fract_add_nat", "Int.fract_add_ofNat", "Int.fract_div_intCast_eq_div_intCast_mod", "Int.fract_div_mul_self_add_zsmul_eq", "Int.fract_div_mul_self_mem_Ico", "Int.fract_div_natCast_eq_div_natCast_mod", "Int.fract_eq_fract", "Int.fract_eq_iff", "Int.fract_eq_self", "Int.fract_eq_zero_or_add_one_sub_ceil", "Int.fract_floor", "Int.fract_int", "Int.fract_intCast", "Int.fract_int_add", "Int.fract_lt_one", "Int.fract_mul_nat", "Int.fract_natCast", "Int.fract_nat_add", "Int.fract_neg", "Int.fract_neg_eq_zero", "Int.fract_nonneg", "Int.fract_ofNat", "Int.fract_ofNat_add", "Int.fract_one", "Int.fract_pos", "Int.fract_sub_int", "Int.fract_sub_nat", "Int.fract_sub_ofNat", "Int.fract_sub_one", "Int.fract_sub_self", "Int.fract_zero", "Int.gcd_a_modEq", "Int.gcd_comm", "Int.gcd_div", "Int.gcd_div_gcd_div_gcd", "Int.gcd_dvd_gcd_mul_left", "Int.gcd_dvd_gcd_mul_left_right", "Int.gcd_dvd_gcd_mul_right_right", "Int.gcd_dvd_gcd_of_dvd_left", "Int.gcd_dvd_iff", "Int.gcd_eq_gcd_ab", "Int.gcd_eq_natAbs", "Int.gcd_eq_one_iff_coprime", "Int.gcd_eq_one_of_gcd_mul_right_eq_one_left", "Int.gcd_eq_right", "Int.gcd_eq_zero_iff", "Int.gcd_greatest", "Int.gcd_least_linear", "Int.gcd_mul_lcm", "Int.gcd_mul_left", "Int.gcd_mul_right", "Int.gcd_natCast_natCast", "Int.gcd_ne_one_iff_gcd_mul_right_ne_one", "Int.gcd_pos_iff", "Int.gcd_pos_of_ne_zero_left", "Int.gcd_pos_of_ne_zero_right", "Int.gcd_self", "Int.gcd_zero_left", "Int.gcd_zero_right", "Int.ge_of_eq", "Int.image_Ico_emod", "Int.image_fract", "Int.inductionOn'_add_one", "Int.inductionOn'_self", "Int.inductionOn'_sub_one", "Int.induction_on", "Int.injOn_natAbs_Iic", "Int.isCompl_even_odd", "Int.isCoprime_iff_gcd_eq_one", "Int.isSquare_natCast_iff", "Int.isSquare_ofNat_iff", "Int.isUnit_add_isUnit_eq_isUnit_add_isUnit", "Int.isUnit_eq_one_or", "Int.isUnit_iff", "Int.isUnit_iff_abs_eq", "Int.isUnit_iff_natAbs_eq", "Int.isUnit_mul_self", "Int.isUnit_ne_iff_eq_neg", "Int.isUnit_sq", "Int.land_bit", "Int.lcm_assoc", "Int.lcm_comm", "Int.lcm_dvd", "Int.lcm_mul_left", "Int.lcm_mul_right", "Int.lcm_one_left", "Int.lcm_one_right", "Int.lcm_zero_right", "Int.ldiff_bit", "Int.le.elim", "Int.le_add_iff_lt_of_dvd_sub", "Int.le_add_iff_sub_le", "Int.le_add_one_iff", "Int.le_antisymm_iff", "Int.le_ceil", "Int.le_floor", "Int.le_floor_add", "Int.le_floor_add_floor", "Int.le_iff_eq_or_lt", "Int.le_iff_lt_or_eq", "Int.le_induction", "Int.le_induction_down", "Int.le_natCast_sub", "Int.le_of_eq", "Int.le_or_lt", "Int.le_rfl", "Int.le_sub_one_iff", "Int.le_zpow_iff_clog_le", "Int.log_inv", "Int.log_mono_right", "Int.log_natCast", "Int.log_of_left_le_one", "Int.log_of_one_le_right", "Int.log_of_right_le_one", "Int.log_of_right_le_zero", "Int.log_one_right", "Int.log_zero_right", "Int.log_zpow", "Int.lt_add_one_iff", "Int.lt_asymm", "Int.lt_ceil", "Int.lt_floor_add_one", "Int.lt_of_sum_four_squares_eq_mul", "Int.lt_or_le", "Int.lt_or_lt_of_ne", "Int.lt_succ_floor", "Int.lt_toNat", "Int.lt_zpow_iff_log_lt", "Int.lt_zpow_succ_log_self", "Int.lxor_bit", "Int.map_ceil", "Int.map_floor", "Int.map_fract", "Int.map_round", "Int.measurable_ceil", "Int.measurable_floor", "Int.mem_box", "Int.mem_range_iff", "Int.mem_zmultiples_iff", "Int.modEq_add_fac", "Int.modEq_add_fac_self", "Int.modEq_and_modEq_iff_modEq_mul", "Int.modEq_iff_add_fac", "Int.modEq_iff_dvd", "Int.modEq_sub", "Int.modEq_sub_fac", "Int.modEq_zero_iff", "Int.modEq_zero_iff_dvd", "Int.mod_coprime", "Int.mod_modEq", "Int.mod_mul_left_mod", "Int.mod_mul_right_mod", "Int.mod_nat_eq_sub_mul_floor_rat_div", "Int.mul_assoc", "Int.mul_comm", "Int.mul_dvd_mul", "Int.mul_dvd_mul_left", "Int.mul_dvd_of_dvd_div", "Int.mul_ediv_assoc'", "Int.mul_ediv_cancel_left", "Int.mul_ediv_mul_of_pos", "Int.mul_emod_right", "Int.mul_eq_one_iff_eq_one_or_neg_one", "Int.mul_le_mul_iff_of_pos_right", "Int.mul_left_comm", "Int.mul_neg", "Int.mul_neg_eq_neg_mul_symm", "Int.natAbs_abs", "Int.natAbs_cast", "Int.natAbs_coe_sub_coe_le_of_le", "Int.natAbs_coe_sub_coe_lt_of_lt", "Int.natAbs_dvd", "Int.natAbs_dvd_natAbs", "Int.natAbs_ediv", "Int.natAbs_eq_iff", "Int.natAbs_eq_iff_associated", "Int.natAbs_eq_iff_mul_self_eq", "Int.natAbs_eq_iff_sq_eq", "Int.natAbs_eq_of_dvd_dvd", "Int.natAbs_euclideanDomain_gcd", "Int.natAbs_even", "Int.natAbs_gcd", "Int.natAbs_inj_of_nonneg_of_nonneg", "Int.natAbs_inj_of_nonneg_of_nonpos", "Int.natAbs_inj_of_nonpos_of_nonneg", "Int.natAbs_inj_of_nonpos_of_nonpos", "Int.natAbs_lcm", "Int.natAbs_le_iff_mul_self_le", "Int.natAbs_le_of_dvd_ne_zero", "Int.natAbs_le_self_sq", "Int.natAbs_lt_iff_sq_lt", "Int.natAbs_mul", "Int.natAbs_mul_self", "Int.natAbs_neg", "Int.natAbs_odd", "Int.natAbs_ofNat", "Int.natAbs_of_isUnit", "Int.natAbs_of_nonneg", "Int.natAbs_pos", "Int.natAbs_pow", "Int.natAbs_sq", "Int.natAbs_sub_ne_zero_iff", "Int.natAbs_sub_pos_iff", "Int.natCast_covBy", "Int.natCast_div", "Int.natCast_dvd", "Int.natCast_dvd_natCast", "Int.natCast_ediv", "Int.natCast_eq_ofNat", "Int.natCast_eq_zero", "Int.natCast_inj", "Int.natCast_modEq_iff", "Int.natCast_mul", "Int.natCast_natAbs", "Int.natCast_ne_zero", "Int.natCast_ne_zero_iff_pos", "Int.natCast_nonneg", "Int.natCast_pos", "Int.natCast_pow", "Int.natCast_pred_of_pos", "Int.natCast_strictMono", "Int.natCast_sub", "Int.natCast_succ", "Int.natCast_succ_pos", "Int.ne_of_odd_add", "Int.ne_zero_of_gcd", "Int.negOnePow_add", "Int.negOnePow_def", "Int.negOnePow_eq_iff", "Int.negOnePow_eq_neg_one_iff", "Int.negOnePow_eq_one_iff", "Int.negOnePow_mul_self", "Int.negOnePow_neg", "Int.negOnePow_odd", "Int.negOnePow_one", "Int.negOnePow_sub", "Int.negOnePow_succ", "Int.negOnePow_two_mul", "Int.negOnePow_zero", "Int.negSucc_coe", "Int.negSucc_lt_zero", "Int.neg_add", "Int.neg_clog_inv_eq_log", "Int.neg_emod_two", "Int.neg_eq_neg", "Int.neg_eq_zero", "Int.neg_log_inv_eq_clog", "Int.neg_modEq_neg", "Int.neg_mul", "Int.neg_mul_eq_neg_mul_symm", "Int.neg_neg_iff_pos", "Int.neg_nonneg", "Int.neg_nonpos_iff_nonneg", "Int.neg_succ", "Int.nneg_mul_add_sq_of_abs_le_one", "Int.nnnorm_coe_units", "Int.norm_cast_rat", "Int.norm_coe_units", "Int.norm_eq_abs", "Int.norm_natCast", "Int.normalize_coe_nat", "Int.normalize_of_nonneg", "Int.normalize_of_nonpos", "Int.not_even_iff", "Int.not_even_one", "Int.not_even_two_mul_add_one", "Int.not_irrational", "Int.not_isField", "Int.not_lt", "Int.not_odd_iff", "Int.not_prime_of_int_mul", "Int.odd_add", "Int.odd_add'", "Int.odd_coe_nat", "Int.odd_iff", "Int.odd_iff_not_even", "Int.odd_mul", "Int.odd_pow", "Int.odd_pow'", "Int.odd_sub", "Int.odd_sub'", "Int.ofAdd_mul", "Int.ofNat_add", "Int.ofNat_add_negSucc_of_ge", "Int.ofNat_add_out", "Int.ofNat_bit1", "Int.ofNat_ceil_eq_ceil", "Int.ofNat_dvd_left", "Int.ofNat_ediv", "Int.ofNat_eq_coe", "Int.ofNat_eq_zero", "Int.ofNat_floor_eq_floor", "Int.ofNat_inj", "Int.ofNat_injective", "Int.ofNat_isUnit", "Int.ofNat_le", "Int.ofNat_lt", "Int.ofNat_mul", "Int.ofNat_mul_negSucc", "Int.ofNat_mul_ofNat", "Int.ofNat_mul_out", "Int.ofNat_nonneg", "Int.ofNat_one", "Int.ofNat_sub", "Int.ofNat_succ", "Int.ofNat_zero", "Int.ofNat_zero_le", "Int.one_le_ceil_iff", "Int.one_ne_zero", "Int.one_pos", "Int.one_shiftLeft", "Int.pairwise_one_le_dist", "Int.pos_iff_one_le", "Int.pow_dvd_pow_iff", "Int.pow_eq", "Int.pow_right_injective", "Int.pred_iterate", "Int.pred_neg_pred", "Int.pred_self_lt", "Int.pred_succ", "Int.preimage_Icc", "Int.preimage_Ici", "Int.preimage_Ico", "Int.preimage_Iic", "Int.preimage_Iio", "Int.preimage_Ioc", "Int.preimage_Ioi", "Int.preimage_ball", "Int.preimage_ceil_singleton", "Int.preimage_fract", "Int.prime_iff_natAbs_prime", "Int.prime_three", "Int.prime_two", "Int.range_castAddHom", "Int.rel_of_forall_rel_succ_of_le", "Int.rel_of_forall_rel_succ_of_lt", "Int.self_le_zpow_clog", "Int.self_sub_floor", "Int.shiftLeft_add", "Int.shiftLeft_coe_nat", "Int.shiftLeft_eq_mul_pow", "Int.shiftLeft_neg", "Int.shiftLeft_negSucc", "Int.shiftRight_add'", "Int.shiftRight_coe_nat", "Int.shiftRight_neg", "Int.shiftRight_negSucc", "Int.sign_add_eq_of_sign_eq", "Int.sign_eq_ediv_abs", "Int.sign_eq_one_iff_pos", "Int.sign_eq_sign", "Int.sign_mul_abs", "Int.sign_natCast_add_one", "Int.sign_natCast_of_ne_zero", "Int.sign_zero", "Int.smul_one_eq_cast", "Int.sq_add_sq_of_two_mul_sq_add_sq", "Int.sq_eq_one_of_sq_le_three", "Int.sq_mod_four_eq_one_of_odd", "Int.sq_of_coprime", "Int.sq_of_gcd_eq_one", "Int.sqrt_eq", "Int.sqrt_natCast", "Int.sqrt_nonneg", "Int.squarefree_natAbs", "Int.squarefree_natCast", "Int.strictAntiOn_natAbs", "Int.strictMonoOn_natAbs", "Int.strongRec_of_ge", "Int.strongRec_of_lt", "Int.sub_eq_add_neg", "Int.sub_floor_div_mul_lt", "Int.sub_floor_div_mul_nonneg", "Int.sub_nonneg", "Int.sub_one_covBy", "Int.sub_one_lt_iff", "Int.subgroup_cyclic", "Int.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul", "Int.succ_iterate", "Int.succ_natCast_pos", "Int.succ_neg_natCast_succ", "Int.succ_neg_succ", "Int.succ_pred", "Int.sum_div", "Int.tendsto_coe_cofinite", "Int.tendsto_zmultiplesHom_cofinite", "Int.testBit_bit_succ", "Int.testBit_bit_zero", "Int.testBit_bitwise", "Int.testBit_land", "Int.testBit_ldiff", "Int.testBit_lor", "Int.toAdd_pow", "Int.toAdd_zpow", "Int.toNat_add_toNat_neg_eq_nnnorm", "Int.toNat_add_toNat_neg_eq_norm", "Int.toNat_eq_zero", "Int.toNat_le", "Int.toNat_le_toNat", "Int.toNat_lt'", "Int.toNat_lt_toNat", "Int.toNat_natCast", "Int.toNat_natCast_add_one", "Int.toNat_of_nonneg", "Int.toNat_pred_coe_of_pos", "Int.toNat_sub_of_le", "Int.two_dvd_ne_zero", "Int.two_le_iff_pos_of_even", "Int.two_mul", "Int.two_mul_ediv_two_add_one_of_odd", "Int.two_mul_ediv_two_of_odd", "Int.two_not_dvd_two_mul_add_one", "Int.two_pow_sub_pow", "Int.two_pow_sub_pow'", "Int.two_pow_two_pow_add_two_pow_two_pow", "Int.two_pow_two_pow_sub_pow_two_pow", "Int.uIcc_eq_finset_map", "Int.units_coe_mul_self", "Int.units_div_eq_mul", "Int.units_eq_one_or", "Int.units_inv_eq_self", "Int.units_mul_self", "Int.units_natAbs", "Int.units_ne_iff_eq_neg", "Int.units_pow_eq_pow_mod_two", "Int.units_sq", "Int.zero_le_ofNat", "Int.zero_shiftLeft", "Int.zero_shiftRight'", "Int.zmultiples_one", "Int.zpow_le_iff_le_log", "Int.zpow_log_le_self", "Int.zpow_lt_iff_lt_clog", "Int.zpow_pred_clog_lt_self", "IntermediateField.AdjoinSimple.algebraMap_gen", "IntermediateField.AdjoinSimple.isIntegral_gen", "IntermediateField.AdjoinSimple.norm_gen_eq_one", "IntermediateField.AdjoinSimple.norm_gen_eq_prod_roots", "IntermediateField.AdjoinSimple.trace_gen_eq_sum_roots", "IntermediateField.AdjoinSimple.trace_gen_eq_zero", "IntermediateField.Lifts.exists_lift_of_splits'", "IntermediateField.Lifts.exists_upper_bound", "IntermediateField.adjoin.finiteDimensional", "IntermediateField.adjoin.finrank", "IntermediateField.adjoin.mono", "IntermediateField.adjoin.range_algebraMap_subset", "IntermediateField.adjoinRootEquivAdjoin_apply_root", "IntermediateField.adjoin_adjoin_comm", "IntermediateField.adjoin_adjoin_left", "IntermediateField.adjoin_algebraic_toSubalgebra", "IntermediateField.adjoin_empty", "IntermediateField.adjoin_eq_adjoin_pow_expChar_of_isSeparable", "IntermediateField.adjoin_eq_adjoin_pow_expChar_of_isSeparable'", "IntermediateField.adjoin_eq_adjoin_pow_expChar_pow_of_isSeparable", "IntermediateField.adjoin_eq_adjoin_pow_expChar_pow_of_isSeparable'", "IntermediateField.adjoin_eq_algebra_adjoin", "IntermediateField.adjoin_eq_bot_iff", "IntermediateField.adjoin_eq_range_algebraMap_adjoin", "IntermediateField.adjoin_eq_top_of_adjoin_eq_top", "IntermediateField.adjoin_eq_top_of_algebra", "IntermediateField.adjoin_finite_isCompactElement", "IntermediateField.adjoin_finset_isCompactElement", "IntermediateField.adjoin_insert_adjoin", "IntermediateField.adjoin_le_iff", "IntermediateField.adjoin_le_subfield", "IntermediateField.adjoin_map", "IntermediateField.adjoin_minpoly_coeff_of_exists_primitive_element", "IntermediateField.adjoin_natCast", "IntermediateField.adjoin_one", "IntermediateField.adjoin_rank_le_of_isAlgebraic", "IntermediateField.adjoin_rank_le_of_isAlgebraic_left", "IntermediateField.adjoin_rootSet_isSplittingField", "IntermediateField.adjoin_root_eq_top_of_isSplittingField", "IntermediateField.adjoin_self", "IntermediateField.adjoin_simple_adjoin_simple", "IntermediateField.adjoin_simple_comm", "IntermediateField.adjoin_simple_isCompactElement", "IntermediateField.adjoin_simple_le_iff", "IntermediateField.adjoin_simple_toSubalgebra_of_integral", "IntermediateField.adjoin_subset_adjoin_iff", "IntermediateField.adjoin_toSubalgebra_of_isAlgebraic", "IntermediateField.adjoin_toSubalgebra_of_isAlgebraic_right", "IntermediateField.adjoin_univ", "IntermediateField.adjoin_zero", "IntermediateField.aeval_coe", "IntermediateField.aeval_gen_minpoly", "IntermediateField.algHomAdjoinIntegralEquiv_symm_apply_gen", "IntermediateField.algHomEquivAlgHomOfSplits_apply_apply", "IntermediateField.algebraMap_apply", "IntermediateField.algebraMap_mem", "IntermediateField.algebra_adjoin_le_adjoin", "IntermediateField.biSup_adjoin_simple", "IntermediateField.botEquiv_symm", "IntermediateField.bot_eq_top_of_finrank_adjoin_eq_one", "IntermediateField.bot_eq_top_of_finrank_adjoin_le_one", "IntermediateField.bot_eq_top_of_rank_adjoin_eq_one", "IntermediateField.card_algHom_adjoin_integral", "IntermediateField.coe_algebraMap_apply", "IntermediateField.coe_algebraMap_over_bot", "IntermediateField.coe_copy", "IntermediateField.coe_equivMap_apply", "IntermediateField.coe_extendScalars", "IntermediateField.coe_iInf", "IntermediateField.coe_iSup_of_directed", "IntermediateField.coe_inclusion", "IntermediateField.coe_inf", "IntermediateField.coe_isIntegral_iff", "IntermediateField.coe_mul", "IntermediateField.coe_one", "IntermediateField.coe_pow", "IntermediateField.coe_prod", "IntermediateField.coe_restrictScalars", "IntermediateField.coe_smul", "IntermediateField.coe_sum", "IntermediateField.coe_toSubalgebra", "IntermediateField.coe_toSubfield", "IntermediateField.coe_val", "IntermediateField.coe_zero", "IntermediateField.copy_eq", "IntermediateField.div_mem", "IntermediateField.eq_adjoin_of_eq_algebra_adjoin", "IntermediateField.eq_bot_of_isAlgClosed_of_isAlgebraic", "IntermediateField.eq_bot_of_isPurelyInseparable_of_isSeparable", "IntermediateField.eq_bot_of_isSepClosed_of_isSeparable", "IntermediateField.eq_of_le_of_finrank_le", "IntermediateField.eq_of_le_of_finrank_le'", "IntermediateField.eq_of_le_of_finrank_le''", "IntermediateField.equivOfEq_rfl", "IntermediateField.equivOfEq_trans", "IntermediateField.exists_algHom_adjoin_of_splits", "IntermediateField.exists_algHom_adjoin_of_splits'", "IntermediateField.exists_algHom_adjoin_of_splits''", "IntermediateField.exists_algHom_adjoin_of_splits_of_aeval", "IntermediateField.exists_algHom_of_adjoin_splits", "IntermediateField.exists_algHom_of_adjoin_splits'", "IntermediateField.exists_algHom_of_adjoin_splits_of_aeval", "IntermediateField.exists_algHom_of_splits", "IntermediateField.exists_algHom_of_splits_of_aeval", "IntermediateField.exists_finset_of_mem_adjoin", "IntermediateField.exists_finset_of_mem_iSup", "IntermediateField.exists_finset_of_mem_supr'", "IntermediateField.exists_finset_of_mem_supr''", "IntermediateField.exists_lt_finrank_of_infinite_dimensional", "IntermediateField.ext", "IntermediateField.extendScalars_adjoin", "IntermediateField.extendScalars_injective", "IntermediateField.extendScalars_le_iff", "IntermediateField.extendScalars_restrictScalars", "IntermediateField.extendScalars_toSubfield", "IntermediateField.fG_of_fG_toSubalgebra", "IntermediateField.fg_adjoin_finset", "IntermediateField.fg_bot", "IntermediateField.fg_def", "IntermediateField.fg_of_noetherian", "IntermediateField.fieldRange_comp_val", "IntermediateField.fieldRange_le", "IntermediateField.fieldRange_val", "IntermediateField.finInsepDegree_bot", "IntermediateField.finInsepDegree_bot'", "IntermediateField.finInsepDegree_top", "IntermediateField.finSepDegree_adjoin_simple_dvd_finrank", "IntermediateField.finSepDegree_adjoin_simple_eq_finrank_iff", "IntermediateField.finSepDegree_adjoin_simple_eq_natSepDegree", "IntermediateField.finSepDegree_adjoin_simple_le_finrank", "IntermediateField.finSepDegree_bot", "IntermediateField.finSepDegree_bot'", "IntermediateField.finiteDimensional_adjoin", "IntermediateField.finiteDimensional_bot", "IntermediateField.finiteDimensional_iSup_of_finset'", "IntermediateField.finrank_adjoin_eq_one_iff", "IntermediateField.finrank_adjoin_simple_eq_one_iff", "IntermediateField.finrank_bot", "IntermediateField.finrank_bot'", "IntermediateField.finrank_eq_finrank_subalgebra", "IntermediateField.finrank_eq_one_iff", "IntermediateField.finrank_fixedField_eq_card", "IntermediateField.fixingSubgroup.antimono", "IntermediateField.fixingSubgroup.bot", "IntermediateField.fixingSubgroup_fixedField", "IntermediateField.fixingSubgroup_isClosed", "IntermediateField.fixingSubgroup_isOpen", "IntermediateField.fixingSubgroup_top", "IntermediateField.gc_map_comap", "IntermediateField.iInf_toSubalgebra", "IntermediateField.iInf_toSubfield", "IntermediateField.inclusion_self", "IntermediateField.induction_on_adjoin", "IntermediateField.induction_on_adjoin_fg", "IntermediateField.induction_on_adjoin_finset", "IntermediateField.inf_toSubfield", "IntermediateField.insepDegree_bot", "IntermediateField.insepDegree_bot'", "IntermediateField.insepDegree_top", "IntermediateField.intermediateFieldMap_symm_apply_coe", "IntermediateField.inv_mem", "IntermediateField.isAlgebraic_adjoin", "IntermediateField.isAlgebraic_adjoin_simple", "IntermediateField.isAlgebraic_iSup", "IntermediateField.isAlgebraic_iff", "IntermediateField.isPurelyInseparable_adjoin_iff_pow_mem", "IntermediateField.isPurelyInseparable_adjoin_simple_iff_natSepDegree_eq_one", "IntermediateField.isPurelyInseparable_adjoin_simple_iff_pow_mem", "IntermediateField.isSeparable_adjoin_iff_separable", "IntermediateField.isSeparable_adjoin_pair_of_separable", "IntermediateField.isSeparable_adjoin_simple_iff_separable", "IntermediateField.isSplittingField_iSup", "IntermediateField.isSplittingField_iff", "IntermediateField.le_normalClosure", "IntermediateField.lift_adjoin_simple", "IntermediateField.lift_bot", "IntermediateField.lift_insepDegree_bot'", "IntermediateField.lift_sepDegree_bot'", "IntermediateField.lift_top", "IntermediateField.list_prod_mem", "IntermediateField.list_sum_mem", "IntermediateField.map_bot", "IntermediateField.map_iSup", "IntermediateField.map_injective", "IntermediateField.map_mono", "IntermediateField.map_sup", "IntermediateField.mem_adjoin_iff", "IntermediateField.mem_adjoin_simple_iff", "IntermediateField.mem_adjoin_simple_self", "IntermediateField.mem_bot", "IntermediateField.mem_fixingSubgroup_iff", "IntermediateField.mem_inf", "IntermediateField.mem_mk", "IntermediateField.mem_toSubalgebra", "IntermediateField.mem_top", "IntermediateField.minpoly_gen", "IntermediateField.multiset_prod_mem", "IntermediateField.natCast_mem", "IntermediateField.neg_mem", "IntermediateField.nonempty_algHom_adjoin_of_splits", "IntermediateField.nonempty_algHom_of_adjoin_splits", "IntermediateField.normalClosure_def'", "IntermediateField.normalClosure_def''", "IntermediateField.normalClosure_mono", "IntermediateField.normalClosure_of_normal", "IntermediateField.normal_iff_forall_fieldRange_le", "IntermediateField.normal_iff_forall_map_eq", "IntermediateField.normal_iff_forall_map_eq'", "IntermediateField.normal_iff_forall_map_le", "IntermediateField.normal_iff_forall_map_le'", "IntermediateField.normal_iff_normalClosure_le", "IntermediateField.pow_mem", "IntermediateField.range_val", "IntermediateField.rank_adjoin_eq_one_iff", "IntermediateField.rank_bot", "IntermediateField.rank_bot'", "IntermediateField.rank_eq_one_iff", "IntermediateField.rank_eq_rank_subalgebra", "IntermediateField.rank_top", "IntermediateField.rank_top'", "IntermediateField.restrictScalars_adjoin", "IntermediateField.restrictScalars_adjoin_of_algEquiv", "IntermediateField.restrictScalars_bot_eq_self", "IntermediateField.restrictScalars_toSubalgebra", "IntermediateField.restrictScalars_top", "IntermediateField.sInf_toSubalgebra", "IntermediateField.sInf_toSubfield", "IntermediateField.sepDegree_adjoin_eq_of_isAlgebraic_of_isPurelyInseparable", "IntermediateField.sepDegree_adjoin_eq_of_isAlgebraic_of_isPurelyInseparable'", "IntermediateField.sepDegree_bot", "IntermediateField.sepDegree_bot'", "IntermediateField.sepDegree_top", "IntermediateField.separable_of_mem_isSeparable", "IntermediateField.smul_mem", "IntermediateField.splits_of_mem_adjoin", "IntermediateField.splits_of_splits", "IntermediateField.sub_mem", "IntermediateField.subset_adjoin", "IntermediateField.subset_adjoin_of_subset_left", "IntermediateField.subset_adjoin_of_subset_right", "IntermediateField.subsingleton_of_finrank_adjoin_eq_one", "IntermediateField.subsingleton_of_finrank_adjoin_le_one", "IntermediateField.subsingleton_of_rank_adjoin_eq_one", "IntermediateField.sum_mem", "IntermediateField.sup_toSubalgebra_of_isAlgebraic", "IntermediateField.sup_toSubalgebra_of_isAlgebraic_left", "IntermediateField.sup_toSubalgebra_of_isAlgebraic_right", "IntermediateField.sup_toSubalgebra_of_right", "IntermediateField.toSubalgebra_eq_iff", "IntermediateField.toSubalgebra_iSup_of_directed", "IntermediateField.toSubalgebra_lt_toSubalgebra", "IntermediateField.toSubalgebra_map", "IntermediateField.toSubfield_map", "IntermediateField.top_toSubfield", "IntermediateField.val_mk", "IntermediateField.zsmul_mem", "Interval.bot_mul", "Interval.bot_ne_one", "Interval.bot_ne_pure", "Interval.bot_sub", "Interval.coe_coe", "Interval.coe_dual", "Interval.coe_iInf", "Interval.coe_iInf\u2082", "Interval.coe_inf", "Interval.coe_inj", "Interval.coe_one", "Interval.coe_sInf", "Interval.coe_sSubset_coe", "Interval.coe_subset_coe", "Interval.coe_top", "Interval.disjoint_coe", "Interval.div_bot", "Interval.dual_bot", "Interval.dual_map", "Interval.dual_pure", "Interval.exists", "Interval.inv_bot", "Interval.length_add_le", "Interval.length_neg", "Interval.length_nonneg", "Interval.length_pure", "Interval.length_sub_le", "Interval.length_sum_le", "Interval.map_map", "Interval.mem_pure", "Interval.mem_pure_self", "Interval.mul_bot", "Interval.mul_eq_one_iff", "Interval.pure_injective", "Interval.pure_ne_bot", "Interval.pure_one", "Interval.sub_bot", "Interval.subset_coe_map", "IntervalIntegrable.abs", "IntervalIntegrable.add", "IntervalIntegrable.aestronglyMeasurable", "IntervalIntegrable.aestronglyMeasurable'", "IntervalIntegrable.comp_add_left", "IntervalIntegrable.comp_add_right", "IntervalIntegrable.comp_mul_left", "IntervalIntegrable.comp_mul_right", "IntervalIntegrable.comp_sub_left", "IntervalIntegrable.comp_sub_right", "IntervalIntegrable.continuousOn_mul", "IntervalIntegrable.def'", "IntervalIntegrable.div_const", "IntervalIntegrable.iff_comp_neg", "IntervalIntegrable.intervalIntegrable_norm_iff", "IntervalIntegrable.log", "IntervalIntegrable.mono_fun", "IntervalIntegrable.mono_measure", "IntervalIntegrable.mono_set'", "IntervalIntegrable.mul_const", "IntervalIntegrable.mul_continuousOn", "IntervalIntegrable.neg", "IntervalIntegrable.norm", "IntervalIntegrable.sub", "IntervalIntegrable.symm", "IntervalIntegrable.trans", "IntervalIntegrable.trans_iterate", "IntervalIntegrable.trans_iterate_Ico", "Inv.isGroupHom", "InvImage.accessible", "InvImage.equivalence", "InvImage.irreflexive", "Invertible.congr", "Ioc_mem_nhds", "Ioc_mem_nhdsSet_Ico", "Ioc_mem_nhdsWithin_Ici", "Ioc_mem_nhdsWithin_Iic", "Ioc_mem_nhdsWithin_Iio", "Ioc_mem_nhdsWithin_Iio'", "Ioc_mem_nhdsWithin_Ioi", "Ioc_mem_nhdsWithin_Ioi'", "Ioc_mem_nhds_iff", "Ioc_subset_closure_interior", "Ioc_toDual", "Ioi_mem_nhds", "Ioi_mem_nhdsSet_Ici_iff", "Ioi_mem_nhdsSet_Ico", "Ioi_mem_nhdsSet_Ioc", "Ioi_ofDual", "Ioo_mem_nhds", "Ioo_mem_nhdsSet_Icc", "Ioo_mem_nhdsSet_Ioc", "Ioo_mem_nhdsWithin_Ici", "Ioo_mem_nhdsWithin_Iic", "Ioo_mem_nhdsWithin_Iio", "Ioo_mem_nhdsWithin_Iio'", "Ioo_mem_nhdsWithin_Ioi", "Ioo_smul_sphere_zero", "Ioo_subset_closure_interior", "Ioo_subset_openSegment", "Ioo_toDual", "Irrational.add_cases", "Irrational.add_int", "Irrational.add_nat", "Irrational.add_rat", "Irrational.beattySeq'_pos_eq", "Irrational.beattySeq_symmDiff_beattySeq_pos", "Irrational.div_int", "Irrational.div_nat", "Irrational.div_rat", "Irrational.eventually_forall_le_dist_cast_div", "Irrational.eventually_forall_le_dist_cast_rat_of_den_le", "Irrational.int_add", "Irrational.int_div", "Irrational.int_mul", "Irrational.int_sub", "Irrational.inv", "Irrational.mul_int", "Irrational.mul_nat", "Irrational.mul_rat", "Irrational.nat_add", "Irrational.nat_div", "Irrational.nat_mul", "Irrational.nat_sub", "Irrational.ne_int", "Irrational.ne_nat", "Irrational.ne_ofNat", "Irrational.ne_one", "Irrational.ne_rat", "Irrational.ne_zero", "Irrational.of_add_int", "Irrational.of_add_nat", "Irrational.of_div_nat", "Irrational.of_div_rat", "Irrational.of_int_add", "Irrational.of_int_div", "Irrational.of_int_mul", "Irrational.of_mul_int", "Irrational.of_mul_nat", "Irrational.of_mul_rat", "Irrational.of_mul_self", "Irrational.of_nat_div", "Irrational.of_nat_mul", "Irrational.of_neg", "Irrational.of_one_div", "Irrational.of_pow", "Irrational.of_rat_add", "Irrational.of_rat_div", "Irrational.of_rat_mul", "Irrational.of_rat_sub", "Irrational.of_sub_int", "Irrational.of_sub_nat", "Irrational.of_sub_rat", "Irrational.of_zpow", "Irrational.rat_add", "Irrational.rat_div", "Irrational.rat_mul", "Irrational.rat_sub", "Irrational.sub_int", "Irrational.sub_rat", "Irreducible.addVal_pow", "Irreducible.associated_of_dvd", "Irreducible.coprime_iff_not_dvd", "Irreducible.degree_le_two", "Irreducible.dvd_comm", "Irreducible.dvd_iff", "Irreducible.dvd_iff_not_coprime", "Irreducible.dvd_irreducible_iff_associated", "Irreducible.dvd_symm", "Irreducible.exists_dvd_monic_irreducible_of_isIntegral", "Irreducible.gcd_eq_one_iff", "Irreducible.hasSeparableContraction", "Irreducible.isRelPrime_iff_not_dvd", "Irreducible.isUnit_gcd_iff", "Irreducible.isUnit_iff_not_associated_of_dvd", "Irreducible.maximalIdeal_eq", "Irreducible.natDegree_le_two", "Irreducible.natDegree_pos", "Irreducible.natSepDegree_dvd_natDegree", "Irreducible.natSepDegree_eq_one_iff_of_monic", "Irreducible.natSepDegree_eq_one_iff_of_monic'", "Irreducible.ne_one", "Irreducible.normalizedFactors_pow", "Irreducible.not_dvd_one", "Irreducible.not_square", "Irreducible.prime_of_isPrimal", "Irreducible.separable", "Irreducible.squarefree", "IrreducibleSpace.isIrreducible_univ", "IsAbsoluteValue.abs_abv_sub_le_abv_sub", "IsAbsoluteValue.abv_add", "IsAbsoluteValue.abv_div", "IsAbsoluteValue.abv_eq_zero", "IsAbsoluteValue.abv_mul", "IsAbsoluteValue.abv_nonneg", "IsAbsoluteValue.abv_one", "IsAbsoluteValue.abv_one'", "IsAbsoluteValue.abv_pos", "IsAbsoluteValue.abv_pow", "IsAbsoluteValue.abv_sub_le", "IsAbsoluteValue.abv_sum", "IsAbsoluteValue.abv_zero", "IsAbsoluteValue.map_prod", "IsAddGroupHom.sub", "IsAddMonoidHom.isAddMonoidHom_mul_left", "IsAddMonoidHom.isAddMonoidHom_mul_right", "IsAddSubgroup.of_sub", "IsAdicComplete.le_jacobson_bot", "IsAdicComplete.subsingleton", "IsAdjoinRoot.aequiv_aequiv", "IsAdjoinRoot.aequiv_map", "IsAdjoinRoot.aequiv_ofEquiv", "IsAdjoinRoot.aequiv_root", "IsAdjoinRoot.aequiv_self", "IsAdjoinRoot.aequiv_symm", "IsAdjoinRoot.aeval_eq", "IsAdjoinRoot.aeval_root", "IsAdjoinRoot.algebraMap_apply", "IsAdjoinRoot.apply_eq_lift", "IsAdjoinRoot.eq_lift", "IsAdjoinRoot.eval\u2082_repr_eq_eval\u2082_of_map_eq", "IsAdjoinRoot.ext", "IsAdjoinRoot.ext_map", "IsAdjoinRoot.liftHom_aequiv", "IsAdjoinRoot.liftHom_map", "IsAdjoinRoot.liftHom_root", "IsAdjoinRoot.lift_aequiv", "IsAdjoinRoot.lift_algebraMap_apply", "IsAdjoinRoot.lift_map", "IsAdjoinRoot.lift_root", "IsAdjoinRoot.lift_self", "IsAdjoinRoot.lift_self_apply", "IsAdjoinRoot.map_X", "IsAdjoinRoot.map_eq_zero_iff", "IsAdjoinRoot.map_repr", "IsAdjoinRoot.map_self", "IsAdjoinRoot.mem_ker_map", "IsAdjoinRoot.ofEquiv_aequiv", "IsAdjoinRoot.ofEquiv_root", "IsAdjoinRoot.repr_add_sub_repr_add_repr_mem_span", "IsAdjoinRoot.repr_zero_mem_span", "IsAdjoinRootMonic.basis_apply", "IsAdjoinRootMonic.basis_one", "IsAdjoinRootMonic.basis_repr", "IsAdjoinRootMonic.coeff_algebraMap", "IsAdjoinRootMonic.coeff_apply", "IsAdjoinRootMonic.coeff_apply_le", "IsAdjoinRootMonic.coeff_apply_lt", "IsAdjoinRootMonic.coeff_injective", "IsAdjoinRootMonic.coeff_one", "IsAdjoinRootMonic.coeff_root", "IsAdjoinRootMonic.coeff_root_pow", "IsAdjoinRootMonic.deg_ne_zero", "IsAdjoinRootMonic.deg_pos", "IsAdjoinRootMonic.ext_elem", "IsAdjoinRootMonic.ext_elem_iff", "IsAdjoinRootMonic.isIntegral_root", "IsAdjoinRootMonic.map_modByMonic", "IsAdjoinRootMonic.map_modByMonicHom", "IsAdjoinRootMonic.minpoly_eq", "IsAdjoinRootMonic.modByMonicHom_map", "IsAdjoinRootMonic.modByMonicHom_root_pow", "IsAdjoinRootMonic.modByMonic_repr_map", "IsAlgClosed.algebraMap_surjective_of_isAlgebraic", "IsAlgClosed.algebraMap_surjective_of_isIntegral", "IsAlgClosed.algebraMap_surjective_of_isIntegral'", "IsAlgClosed.cardinal_eq_cardinal_transcendence_basis_of_aleph0_lt", "IsAlgClosed.cardinal_le_max_transcendence_basis", "IsAlgClosed.exists_eq_mul_self", "IsAlgClosed.exists_eval\u2082_eq_zero_of_injective", "IsAlgClosed.exists_pow_nat_eq", "IsAlgClosed.isCyclotomicExtension", "IsAlgClosed.of_exists_root", "IsAlgClosed.of_ringEquiv", "IsAlgClosed.ringEquivOfCardinalEqOfCharEq", "IsAlgClosed.ringEquivOfCardinalEqOfCharP", "IsAlgClosed.ringEquivOfCardinalEqOfCharZero", "IsAlgClosed.roots_eq_zero_iff", "IsAlgClosed.splits_codomain", "IsAlgClosed.splits_domain", "IsAlgClosure.equivOfEquiv_algebraMap", "IsAlgClosure.equivOfEquiv_comp_algebraMap", "IsAlgClosure.ofAlgebraic", "IsAlgebraic.algHom", "IsAlgebraic.algebraMap", "IsAlgebraic.invOf", "IsAlgebraic.invOf_iff", "IsAlgebraic.inv_iff", "IsAlgebraic.of_finite", "IsAlgebraic.of_pow", "IsAlgebraic.tower_top", "IsAlgebraic.tower_top_of_injective", "IsAntichain.bot_mem_iff", "IsAntichain.eq", "IsAntichain.eq'", "IsAntichain.finite_of_partiallyWellOrderedOn", "IsAntichain.flip", "IsAntichain.greatest_iff", "IsAntichain.image", "IsAntichain.image_compl", "IsAntichain.image_embedding", "IsAntichain.image_iso_iff", "IsAntichain.image_relEmbedding", "IsAntichain.image_relEmbedding_iff", "IsAntichain.image_relIso", "IsAntichain.image_relIso_iff", "IsAntichain.insert_of_symmetric", "IsAntichain.interior_eq_empty", "IsAntichain.isWeakAntichain", "IsAntichain.max_maximals", "IsAntichain.max_minimals", "IsAntichain.maximals_eq", "IsAntichain.maximals_lowerClosure", "IsAntichain.minimals_eq", "IsAntichain.minimals_upperClosure", "IsAntichain.mono", "IsAntichain.mono_on", "IsAntichain.not_lt", "IsAntichain.of_monotoneOn_strictAntiOn", "IsAntichain.of_strictMonoOn_antitoneOn", "IsAntichain.ordConnected", "IsAntichain.partiallyWellOrderedOn_iff", "IsAntichain.preimage_embedding", "IsAntichain.preimage_iso_iff", "IsAntichain.preimage_relEmbedding", "IsAntichain.preimage_relIso", "IsAntichain.subset", "IsAntichain.swap", "IsAntichain.to_dual", "IsAntichain.to_dual_iff", "IsAntichain.volume_eq_zero", "IsArtinian.bijective_of_injective_endomorphism", "IsArtinian.disjoint_partial_infs_eventually_top", "IsArtinian.eventuallyConst_of_isArtinian", "IsArtinian.exists_pow_succ_smul_dvd", "IsArtinian.finite_of_linearIndependent", "IsArtinian.induction", "IsArtinian.monotone_stabilizes", "IsArtinian.range_smul_pow_stabilizes", "IsArtinian.set_has_minimal", "IsArtinian.surjective_of_injective_endomorphism", "IsArtinianRing.isNilpotent_jacobson_bot", "IsArtinianRing.isPrime_iff_isMaximal", "IsArtinianRing.localization_artinian", "IsArtinianRing.localization_surjective", "IsArtinianRing.maximal_ideals_finite", "IsArtinianRing.of_finite", "IsArtinianRing.primeSpectrum_finite", "IsAssociatedPrime.annihilator_le", "IsAssociatedPrime.eq_radical", "IsAssociatedPrime.map_of_injective", "IsAsymm.isAntisymm", "IsAtom.Iic", "IsAtom.inf_eq_bot_of_ne", "IsAtom.le_iff", "IsAtom.lt_iff", "IsAtom.of_isAtom_coe_Iic", "IsAtomic.of_isChain_bounded", "IsBaseChange.algHom_ext", "IsBaseChange.algHom_ext'", "IsBaseChange.comp", "IsBaseChange.equiv_symm_apply", "IsBaseChange.equiv_tmul", "IsBaseChange.iff_lift_unique", "IsBaseChange.inductionOn", "IsBaseChange.lift_eq", "IsBaseChange.ofEquiv", "IsBaseChange.of_lift_unique", "IsBezout.TFAE", "IsBezout.associated_gcd_gcd", "IsBezout.dvd_gcd", "IsBezout.gcd_dvd_left", "IsBezout.gcd_dvd_right", "IsBezout.gcd_eq_sum", "IsBezout.iff_span_pair_isPrincipal", "IsBezout.span_gcd", "IsBezout.span_gcd_eq_span_gcd", "IsBot.atBot_eq", "IsBot.fst", "IsBot.isMin", "IsBot.prod_mk", "IsBoundedBilinearMap.contDiff", "IsBoundedBilinearMap.continuous", "IsBoundedBilinearMap.continuous_left", "IsBoundedBilinearMap.continuous_right", "IsBoundedBilinearMap.differentiable", "IsBoundedBilinearMap.differentiableAt", "IsBoundedBilinearMap.differentiableOn", "IsBoundedBilinearMap.fderiv", "IsBoundedBilinearMap.fderivWithin", "IsBoundedBilinearMap.hasFDerivAt", "IsBoundedBilinearMap.hasFDerivWithinAt", "IsBoundedBilinearMap.hasStrictFDerivAt", "IsBoundedBilinearMap.isBigO", "IsBoundedBilinearMap.isBigO'", "IsBoundedBilinearMap.isBigO_comp", "IsBoundedBilinearMap.isBoundedLinearMap_left", "IsBoundedBilinearMap.map_sub_left", "IsBoundedLinearMap.add", "IsBoundedLinearMap.contDiff", "IsBoundedLinearMap.continuous", "IsBoundedLinearMap.differentiableAt", "IsBoundedLinearMap.differentiableOn", "IsBoundedLinearMap.fderivWithin", "IsBoundedLinearMap.fst", "IsBoundedLinearMap.hasFDerivAt", "IsBoundedLinearMap.hasFDerivAtFilter", "IsBoundedLinearMap.hasFDerivWithinAt", "IsBoundedLinearMap.id", "IsBoundedLinearMap.neg", "IsBoundedLinearMap.smul", "IsBoundedLinearMap.snd", "IsBoundedLinearMap.sub", "IsBoundedLinearMap.tendsto", "IsCauSeq.add", "IsCauSeq.bounded", "IsCauSeq.cauchy\u2082", "IsCauSeq.cauchy\u2083", "IsCauSeq.const", "IsCauSeq.geo_series", "IsCauSeq.geo_series_const", "IsCauSeq.mul", "IsCauSeq.of_abv", "IsCauSeq.of_abv_le", "IsCauSeq.of_decreasing_bounded", "IsCauSeq.of_mono_bounded", "IsCauSeq.series_ratio_test", "IsCentralScalar.unop_smul_eq_smul", "IsChain.directed", "IsChain.directedOn", "IsChain.exists3", "IsChain.exists_maxChain", "IsChain.lt_of_le", "IsChain.mono_rel", "IsChain.succ", "IsChain.superChain_succChain", "IsChain.symm", "IsChain.total", "IsClopen.biUnion_connectedComponent_eq", "IsClopen.compl", "IsClopen.connectedComponent_subset", "IsClopen.diff", "IsClopen.lowerClosure_pi", "IsClopen.preimage", "IsClopen.prod", "IsClopen.upperClosure_pi", "IsClosed.HasSeparatingCover", "IsClosed.Icc_subset_of_forall_exists_gt", "IsClosed.Icc_subset_of_forall_mem_nhdsWithin", "IsClosed.ae_eq_univ_iff_eq", "IsClosed.analyticSet", "IsClosed.balancedCore", "IsClosed.closedEmbedding_subtype_val", "IsClosed.closure_subset_iff", "IsClosed.compl_mem_nhds", "IsClosed.csInf_mem", "IsClosed.csSup_mem", "IsClosed.cthickening_eq_biUnion_closedBall", "IsClosed.diffContOnCl_iff", "IsClosed.everywherePosSubset", "IsClosed.exists_closed_singleton", "IsClosed.exists_infDist_eq_dist", "IsClosed.exists_minimal_nonempty_closed_subset", "IsClosed.frontier_eq", "IsClosed.frontier_subset", "IsClosed.hausdorffDist_zero_iff_eq", "IsClosed.hypograph", "IsClosed.inter", "IsClosed.intrinsicClosure", "IsClosed.isClopenable", "IsClosed.isCompact", "IsClosed.isComplete", "IsClosed.isG\u03b4", "IsClosed.isLeast_csInf", "IsClosed.isNowhereDense_iff", "IsClosed.isSeqClosed", "IsClosed.locallyCompactSpace", "IsClosed.lowerClosure_pi", "IsClosed.lowerSemicontinuousOn_indicator", "IsClosed.lowerSemicontinuous_indicator", "IsClosed.measurableSet", "IsClosed.measurableSet_image_of_continuousOn_injOn", "IsClosed.measure_eq_one_iff_eq_univ", "IsClosed.measure_eq_univ_iff_eq", "IsClosed.mem_iff_closure_subset", "IsClosed.mem_iff_infDist_zero", "IsClosed.mem_of_frequently_of_tendsto", "IsClosed.mem_of_ge_of_forall_exists_gt", "IsClosed.mem_of_nhdsWithin_neBot", "IsClosed.mem_of_tendsto", "IsClosed.mk_lt_continuum", "IsClosed.mono", "IsClosed.mul_closure_one_eq", "IsClosed.mul_left_of_isCompact", "IsClosed.mul_right_of_isCompact", "IsClosed.nhdsSet_le_sup", "IsClosed.nhdsSet_le_sup'", "IsClosed.not", "IsClosed.not_mem_iff_infDist_pos", "IsClosed.not_normal_of_continuum_le_mk", "IsClosed.not_specializes", "IsClosed.polishSpace", "IsClosed.preimage", "IsClosed.prod", "IsClosed.reProdIm", "IsClosed.rightCoset", "IsClosed.sInf_mem", "IsClosed.sSup_mem", "IsClosed.sdiff", "IsClosed.setOf_mapsTo", "IsClosed.sigmaCompactSpace", "IsClosed.smul_left_of_isCompact", "IsClosed.smul\u2080", "IsClosed.trans", "IsClosed.union", "IsClosed.upperClosure_pi", "IsClosed.upperSemicontinuousAt_indicator", "IsClosed.upperSemicontinuousOn_indicator", "IsClosed.upperSemicontinuous_indicator", "IsClosed.vadd_right_of_isCompact", "IsClosedMap.closure_image_eq_of_continuous", "IsClosedMap.comp", "IsClosedMap.id", "IsClosedMap.isClosed_range", "IsClosedMap.lift'_closure_map_eq", "IsClosedMap.mapClusterPt_iff_lift'_closure", "IsClosedMap.of_inverse", "IsClosedMap.of_nonempty", "IsClosedMap.restrictPreimage", "IsCoatom.Ici", "IsCoatom.Ici_eq", "IsCoatom.isProper", "IsCoatom.le_iff_eq", "IsCoatom.lt_iff", "IsCoatom.of_isCoatom_coe_Ici", "IsCoatom.sup_eq_top_of_ne", "IsCoatomic.exists_coatom", "IsCoatomic.of_isChain_bounded", "IsCoercive.antilipschitz", "IsCoercive.bounded_below", "IsCoercive.continuousLinearEquivOfBilin_apply", "IsCoercive.isClosed_range", "IsCoercive.ker_eq_bot", "IsCoercive.range_eq_top", "IsCoercive.unique_continuousLinearEquivOfBilin", "IsCompact.adherence_nhdset", "IsCompact.bddAbove_image", "IsCompact.binary_compact_cover", "IsCompact.closedBall_div", "IsCompact.closedBall_mul", "IsCompact.closedBall_one_div", "IsCompact.closedBall_one_mul", "IsCompact.closure", "IsCompact.closure_eq_biUnion_closure_singleton", "IsCompact.closure_of_subset", "IsCompact.closure_subset_measurableSet", "IsCompact.compl_mem_coclosedCompact_of_isClosed", "IsCompact.compl_mem_sets", "IsCompact.compl_mem_sets_of_nhdsWithin", "IsCompact.continuous_sSup", "IsCompact.cthickening", "IsCompact.cthickening_eq_biUnion_closedBall", "IsCompact.disjoint_nhdsSet_left", "IsCompact.disjoint_nhdsSet_right", "IsCompact.div_closedBall", "IsCompact.div_closedBall_one", "IsCompact.elim_directed_cover", "IsCompact.elim_directed_family_closed", "IsCompact.elim_finite_subcover_image", "IsCompact.elim_nhds_subcover", "IsCompact.elim_nhds_subcover_nhdsSet'", "IsCompact.exists_bound_of_continuousOn'", "IsCompact.exists_clusterPt", "IsCompact.exists_cthickening_subset_open", "IsCompact.exists_forall_le", "IsCompact.exists_forall_le'", "IsCompact.exists_infDist_eq_dist", "IsCompact.exists_infEdist_eq_edist", "IsCompact.exists_isCompact_cthickening", "IsCompact.exists_isLeast", "IsCompact.exists_isLocalMax_mem_open", "IsCompact.exists_isLocalMinOn_mem_subset", "IsCompact.exists_isLocalMin_mem_open", "IsCompact.exists_isMaxOn", "IsCompact.exists_isMinOn", "IsCompact.exists_isMinOn_mem_subset", "IsCompact.exists_isOpen_closure_subset", "IsCompact.exists_isOpen_lt_add", "IsCompact.exists_isOpen_lt_of_lt", "IsCompact.exists_mapClusterPt", "IsCompact.exists_mem_frontier_infDist_compl_eq_dist", "IsCompact.exists_open_superset_measure_lt_top'", "IsCompact.exists_sInf_image_eq_and_le", "IsCompact.exists_sSup_image_eq_and_ge", "IsCompact.exists_thickening_subset_open", "IsCompact.extremePoints_nonempty", "IsCompact.finite", "IsCompact.finite_compact_cover", "IsCompact.finite_of_discrete", "IsCompact.image", "IsCompact.image_of_continuousOn", "IsCompact.induction_on", "IsCompact.inf_nhdsSet_eq_biSup", "IsCompact.inter_iInter_nonempty", "IsCompact.inter_left", "IsCompact.inter_right", "IsCompact.inv", "IsCompact.isBounded", "IsCompact.isClosed", "IsCompact.isCompact_isClosed_basis_nhds", "IsCompact.isComplete", "IsCompact.isGLB_sInf", "IsCompact.isGreatest_sSup", "IsCompact.isLUB_sSup", "IsCompact.isLindelof", "IsCompact.isSeparable", "IsCompact.isSigmaCompact", "IsCompact.le_nhds_of_unique_clusterPt", "IsCompact.lift'_closure_nhdsSet", "IsCompact.locallyCompactSpace_of_mem_nhds_of_group", "IsCompact.lt_sInf_iff_of_continuous", "IsCompact.measurableSet", "IsCompact.measure_closure", "IsCompact.measure_closure_eq_of_group", "IsCompact.measure_eq_biInf_integral_hasCompactSupport", "IsCompact.measure_eq_iInf_isOpen", "IsCompact.measure_lt_top", "IsCompact.measure_ne_top", "IsCompact.measure_zero_of_nhdsWithin", "IsCompact.mem_closure_iff_exists_inseparable", "IsCompact.mem_inf_nhdsSet_of_forall", "IsCompact.mem_nhdsSet_inf_of_forall", "IsCompact.mem_nhdsSet_prod_of_forall", "IsCompact.mem_uniformity_of_prod", "IsCompact.mul", "IsCompact.mul_closedBall", "IsCompact.mul_closedBall_one", "IsCompact.mul_closure_one_eq_closure", "IsCompact.ne_univ", "IsCompact.nhdsSet_basis_uniformity", "IsCompact.nhdsSet_inf_eq_biSup", "IsCompact.nhdsSet_inter_eq", "IsCompact.nhdsSet_prod_eq", "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed", "IsCompact.nonempty_iInter_of_sequence_nonempty_isCompact_isClosed", "IsCompact.nonempty_sInter_of_directed_nonempty_isCompact_isClosed", "IsCompact.of_isClosed_subset", "IsCompact.preimage_continuous", "IsCompact.preimage_smul", "IsCompact.prod", "IsCompact.sInf_mem", "IsCompact.sSup_lt_iff_of_continuous", "IsCompact.smul", "IsCompact.smul_set", "IsCompact.tendsto_subseq", "IsCompact.tendsto_subseq'", "IsCompact.totallyBounded", "IsCompact.uniformContinuousAt_of_continuousAt", "IsCompact.uniformContinuousOn_of_continuous", "IsCompact.union", "IsCompactOperator.add", "IsCompactOperator.clm_comp", "IsCompactOperator.codRestrict", "IsCompactOperator.comp_clm", "IsCompactOperator.continuous", "IsCompactOperator.continuous_comp", "IsCompactOperator.image_ball_subset_compact", "IsCompactOperator.image_closedBall_subset_compact", "IsCompactOperator.image_subset_compact_of_bounded", "IsCompactOperator.image_subset_compact_of_isVonNBounded", "IsCompactOperator.isCompact_closure_image_ball", "IsCompactOperator.isCompact_closure_image_closedBall", "IsCompactOperator.isCompact_closure_image_of_bounded", "IsCompactOperator.isCompact_closure_image_of_isVonNBounded", "IsCompactOperator.restrict", "IsCompactOperator.restrict'", "IsCompactOperator.smul", "IsCompactOperator.sub", "IsCompactlyGenerated.BooleanGenerators.atomistic", "IsCompactlyGenerated.BooleanGenerators.complementedLattice_of_sSup_eq_top", "IsCompactlyGenerated.BooleanGenerators.eq_atoms_of_sSup_eq_top", "IsCompactlyGenerated.BooleanGenerators.mem_of_isAtom_of_le_sSup_atoms", "IsCompactlyGenerated.BooleanGenerators.mono", "IsCompactlyGenerated.BooleanGenerators.sSup_inter", "IsCompactlyGenerated.BooleanGenerators.sSup_le_sSup_iff_of_atoms", "IsCompl.bihimp_eq_bot", "IsCompl.compl_eq", "IsCompl.compl_eq_iff", "IsCompl.disjoint_left_iff", "IsCompl.disjoint_right_iff", "IsCompl.eq_compl", "IsCompl.eq_hnot", "IsCompl.hnot_eq", "IsCompl.inf_eq_bot", "IsCompl.inf_left_eq_bot_iff", "IsCompl.inf_left_le_of_le_sup_right", "IsCompl.inf_sup", "IsCompl.isAtom_iff_isCoatom", "IsCompl.isCoatom_iff_isAtom", "IsCompl.le_right_iff", "IsCompl.le_sup_right_iff_inf_left_le", "IsCompl.left_unique", "IsCompl.map", "IsCompl.of_eq", "IsCompl.of_le", "IsCompl.prod_mul_prod", "IsCompl.right_le_iff", "IsCompl.sup_eq_top", "IsCompl.sup_inf", "IsCompl.symm", "IsCompl.symmDiff_eq_top", "IsComplemented.inf", "IsComplemented.sup", "IsComplete.isClosed", "IsComplete.nonempty_iInter_of_nonempty_biInter", "IsComplete.union", "IsConformalMap.comp", "IsConformalMap.injective", "IsConformalMap.is_complex_or_conj_linear", "IsConformalMap.ne_zero", "IsConformalMap.smul", "IsConj.conjugatesOf_eq", "IsConj.eq_of_left_mem_center", "IsConj.normalClosure_eq_top_of", "IsConj.refl", "IsConj.symm", "IsConj.trans", "IsConnected.Icc_subset", "IsConnected.biUnion_of_chain", "IsConnected.biUnion_of_reflTransGen", "IsConnected.closure", "IsConnected.iUnion_of_chain", "IsConnected.iUnion_of_reflTransGen", "IsConnected.image", "IsConnected.isPreconnected", "IsConnected.preimage_of_isClosedMap", "IsConnected.preimage_of_isOpenMap", "IsConnected.prod", "IsConnected.subset_closure", "IsConnected.subset_connectedComponent", "IsConnected.union", "IsCoprime.add_mul_left_left", "IsCoprime.add_mul_left_left_iff", "IsCoprime.add_mul_left_right_iff", "IsCoprime.add_mul_right_right", "IsCoprime.add_mul_right_right_iff", "IsCoprime.dvd_of_dvd_mul_left", "IsCoprime.dvd_of_dvd_mul_right", "IsCoprime.exists", "IsCoprime.exists_SL2_col", "IsCoprime.exists_SL2_row", "IsCoprime.intCast", "IsCoprime.isRelPrime", "IsCoprime.map", "IsCoprime.mulVecSL", "IsCoprime.mul_add_left_left", "IsCoprime.mul_add_left_right", "IsCoprime.mul_add_left_right_iff", "IsCoprime.mul_add_right_left", "IsCoprime.mul_add_right_right", "IsCoprime.mul_add_right_right_iff", "IsCoprime.mul_dvd", "IsCoprime.mul_left", "IsCoprime.mul_right", "IsCoprime.mul_right_iff", "IsCoprime.ne_zero", "IsCoprime.ne_zero_or_ne_zero", "IsCoprime.neg_left", "IsCoprime.neg_left_iff", "IsCoprime.neg_neg", "IsCoprime.neg_right", "IsCoprime.of_add_mul_left_left", "IsCoprime.of_add_mul_left_right", "IsCoprime.of_add_mul_right_left", "IsCoprime.of_add_mul_right_right", "IsCoprime.of_isCoprime_of_dvd_left", "IsCoprime.of_mul_add_left_left", "IsCoprime.of_mul_add_left_right", "IsCoprime.of_mul_add_right_left", "IsCoprime.of_mul_add_right_right", "IsCoprime.of_mul_left_left", "IsCoprime.of_mul_left_right", "IsCoprime.of_mul_right_left", "IsCoprime.of_mul_right_right", "IsCoprime.pow", "IsCoprime.pow_iff", "IsCoprime.pow_left", "IsCoprime.pow_left_iff", "IsCoprime.pow_right", "IsCoprime.prod_left", "IsCoprime.prod_left_iff", "IsCoprime.sq_add_sq_ne_zero", "IsCoprime.sup_eq", "IsCoprime.symm", "IsCoprime.vecMulSL", "IsCorner.image", "IsCorner.mono", "IsCornerFree.mono", "IsCornerFree.of_image", "IsCountablySpanning.pi", "IsCountablySpanning.prod", "IsCoveringMap.constOn_of_comp", "IsCoveringMap.continuous", "IsCoveringMap.eqOn_of_comp_eqOn", "IsCoveringMap.isCoveringMapOn", "IsCoveringMap.isLocalHomeomorph", "IsCoveringMap.isSeparatedMap", "IsCoveringMap.mk", "IsCoveringMap.quotientMap", "IsCoveringMapOn.continuousAt", "IsCoveringMapOn.isLocalHomeomorphOn", "IsCyclic.card_orderOf_eq_totient", "IsCyclic.card_pow_eq_one_le", "IsCyclic.exists_monoid_generator", "IsCyclic.exists_ofOrder_eq_natCard", "IsCyclic.exponent_eq_card", "IsCyclic.exponent_eq_zero_of_infinite", "IsCyclic.ext", "IsCyclic.iff_exponent_eq_card", "IsCyclic.image_range_card", "IsCyclic.image_range_orderOf", "IsCyclic.of_exponent_eq_card", "IsCyclic.unique_zpow_zmod", "IsCyclotomicExtension.Rat.Three.Units.mem", "IsCyclotomicExtension.Rat.Three.coe_eta", "IsCyclotomicExtension.Rat.Three.eq_one_or_neg_one_of_unit_of_congruent", "IsCyclotomicExtension.Rat.Three.eta_sq", "IsCyclotomicExtension.Rat.Three.eta_sq_add_eta_add_one", "IsCyclotomicExtension.Rat.Three.lambda_dvd_mul_sub_one_mul_sub_eta_add_one", "IsCyclotomicExtension.Rat.Three.lambda_dvd_or_dvd_sub_one_or_dvd_add_one", "IsCyclotomicExtension.Rat.Three.lambda_pow_four_dvd_cube_add_one_of_dvd_add_one", "IsCyclotomicExtension.Rat.Three.lambda_pow_four_dvd_cube_sub_one_of_dvd_sub_one", "IsCyclotomicExtension.Rat.Three.lambda_pow_four_dvd_cube_sub_one_or_add_one_of_lambda_not_dvd", "IsCyclotomicExtension.Rat.Three.lambda_sq", "IsCyclotomicExtension.Rat.absdiscr_prime", "IsCyclotomicExtension.Rat.absdiscr_prime_pow", "IsCyclotomicExtension.Rat.absdiscr_prime_pow_succ", "IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime", "IsCyclotomicExtension.Rat.cyclotomicRing_isIntegralClosure_of_prime_pow", "IsCyclotomicExtension.Rat.discr_odd_prime'", "IsCyclotomicExtension.Rat.discr_prime_pow'", "IsCyclotomicExtension.Rat.discr_prime_pow_eq_unit_mul_pow'", "IsCyclotomicExtension.Rat.discr_prime_pow_ne_two'", "IsCyclotomicExtension.Rat.five_pid", "IsCyclotomicExtension.Rat.isIntegralClosure_adjoin_singleton_of_prime", "IsCyclotomicExtension.Rat.isIntegralClosure_adjoin_singleton_of_prime_pow", "IsCyclotomicExtension.Rat.nrComplexPlaces_eq_totient_div_two", "IsCyclotomicExtension.Rat.nrRealPlaces_eq_zero", "IsCyclotomicExtension.Rat.three_pid", "IsCyclotomicExtension.adjoin_primitive_root_eq_top", "IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_nth_roots", "IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_root_cyclotomic", "IsCyclotomicExtension.aeval_zeta", "IsCyclotomicExtension.discr_odd_prime", "IsCyclotomicExtension.discr_prime_pow", "IsCyclotomicExtension.discr_prime_pow_eq_unit_mul_pow", "IsCyclotomicExtension.discr_prime_pow_ne_two", "IsCyclotomicExtension.discr_prime_pow_ne_two'", "IsCyclotomicExtension.empty", "IsCyclotomicExtension.equiv", "IsCyclotomicExtension.finite", "IsCyclotomicExtension.finiteDimensional", "IsCyclotomicExtension.finite_of_singleton", "IsCyclotomicExtension.finrank", "IsCyclotomicExtension.fromZetaAut_spec", "IsCyclotomicExtension.iff_adjoin_eq_top", "IsCyclotomicExtension.iff_singleton", "IsCyclotomicExtension.iff_union_of_dvd", "IsCyclotomicExtension.iff_union_singleton_one", "IsCyclotomicExtension.integral", "IsCyclotomicExtension.isGalois", "IsCyclotomicExtension.isSplittingField_X_pow_sub_one", "IsCyclotomicExtension.neZero'", "IsCyclotomicExtension.norm_zeta_eq_one", "IsCyclotomicExtension.norm_zeta_pow_sub_one_of_prime_ne_two", "IsCyclotomicExtension.norm_zeta_pow_sub_one_of_prime_pow_ne_two", "IsCyclotomicExtension.norm_zeta_pow_sub_one_two", "IsCyclotomicExtension.norm_zeta_sub_one_of_isPrimePow", "IsCyclotomicExtension.norm_zeta_sub_one_of_prime_ne_two", "IsCyclotomicExtension.numberField", "IsCyclotomicExtension.of_union_of_dvd", "IsCyclotomicExtension.singleton_one", "IsCyclotomicExtension.singleton_one_of_algebraMap_bijective", "IsCyclotomicExtension.singleton_zero_of_bot_eq_top", "IsCyclotomicExtension.splits_X_pow_sub_one", "IsCyclotomicExtension.splits_cyclotomic", "IsCyclotomicExtension.splitting_field_cyclotomic", "IsCyclotomicExtension.subsingleton_iff", "IsCyclotomicExtension.trans", "IsCyclotomicExtension.union_left", "IsCyclotomicExtension.union_right", "IsCyclotomicExtension.zeta_isRoot", "IsCyclotomicExtension.zeta_spec", "IsDedekindDomain.HeightOneSpectrum.IntValuation.le_max_iff_min_le", "IsDedekindDomain.HeightOneSpectrum.IntValuation.map_add_le_max'", "IsDedekindDomain.HeightOneSpectrum.IntValuation.map_mul'", "IsDedekindDomain.HeightOneSpectrum.IntValuation.map_one'", "IsDedekindDomain.HeightOneSpectrum.IntValuation.map_zero'", "IsDedekindDomain.HeightOneSpectrum.algebraMap_adicCompletion", "IsDedekindDomain.HeightOneSpectrum.associates_irreducible", "IsDedekindDomain.HeightOneSpectrum.coe_smul_adicCompletion", "IsDedekindDomain.HeightOneSpectrum.coe_smul_adicCompletionIntegers", "IsDedekindDomain.HeightOneSpectrum.iInf_localization_eq_bot", "IsDedekindDomain.HeightOneSpectrum.intValuationDef_if_neg", "IsDedekindDomain.HeightOneSpectrum.intValuationDef_if_pos", "IsDedekindDomain.HeightOneSpectrum.int_valuation_exists_uniformizer", "IsDedekindDomain.HeightOneSpectrum.int_valuation_le_one", "IsDedekindDomain.HeightOneSpectrum.int_valuation_le_pow_iff_dvd", "IsDedekindDomain.HeightOneSpectrum.int_valuation_lt_one_iff_dvd", "IsDedekindDomain.HeightOneSpectrum.int_valuation_ne_zero", "IsDedekindDomain.HeightOneSpectrum.int_valuation_ne_zero'", "IsDedekindDomain.HeightOneSpectrum.int_valuation_zero_le", "IsDedekindDomain.HeightOneSpectrum.irreducible", "IsDedekindDomain.HeightOneSpectrum.mem_adicCompletionIntegers", "IsDedekindDomain.HeightOneSpectrum.prime", "IsDedekindDomain.HeightOneSpectrum.valuationOfNeZeroToFun_eq", "IsDedekindDomain.HeightOneSpectrum.valuationOfNeZero_eq", "IsDedekindDomain.HeightOneSpectrum.valuation_def", "IsDedekindDomain.HeightOneSpectrum.valuation_exists_uniformizer", "IsDedekindDomain.HeightOneSpectrum.valuation_le_one", "IsDedekindDomain.HeightOneSpectrum.valuation_lt_one_iff_dvd", "IsDedekindDomain.HeightOneSpectrum.valuation_of_mk'", "IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_eq", "IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_mod_eq", "IsDedekindDomain.HeightOneSpectrum.valuation_uniformizer_ne_zero", "IsDedekindDomain.exists_forall_sub_mem_ideal", "IsDedekindDomain.exists_representative_mod_finset", "IsDedekindDomain.inf_prime_pow_eq_prod", "IsDedekindDomain.isDedekindDomainDvr", "IsDedekindDomain.isPrincipalIdealRing_localization_over_prime", "IsDedekindDomain.quotientEquivPiFactors_mk", "IsDedekindDomain.selmerGroup.fromUnitLift_injective", "IsDedekindDomain.selmerGroup.fromUnit_ker", "IsDedekindDomain.selmerGroup.monotone", "IsDedekindDomain.selmerGroup.valuation_ker_eq", "IsDedekindDomainInv.dimensionLEOne", "IsDedekindDomainInv.integrallyClosed", "IsDedekindDomainInv.isDedekindDomain", "IsDedekindDomainInv.isNoetherianRing", "IsDedekindDomainInv.isUnit", "IsDedekindDomainInv.mul_inv_eq_one", "IsDivSequence.smul", "IsEllDivSequence.smul", "IsEllSequence.smul", "IsEmpty.exists_iff", "IsEmpty.forall_iff", "IsEquivalent.summable_iff_nat", "IsEvenlyCovered.continuousAt", "IsEvenlyCovered.mem_toTrivialization_baseSet", "IsEvenlyCovered.toTrivialization_apply", "IsEvenlyCovered.to_isEvenlyCovered_preimage", "IsExposed.convex", "IsExposed.eq_inter_halfspace", "IsExposed.eq_inter_halfspace'", "IsExposed.inter", "IsExposed.inter_left", "IsExposed.inter_right", "IsExposed.isClosed", "IsExposed.isCompact", "IsExposed.isExtreme", "IsExposed.mono", "IsExposed.sInter", "IsExposed.subset", "IsExtrFilter.comp_antitone", "IsExtrFilter.comp_mono", "IsExtrFilter.comp_tendsto", "IsExtrFilter.congr", "IsExtrFilter.filter_inf", "IsExtrFilter.neg", "IsExtrOn.comp_antitone", "IsExtrOn.comp_mapsTo", "IsExtrOn.comp_mono", "IsExtrOn.elim", "IsExtrOn.inter", "IsExtrOn.isLocalExtr", "IsExtrOn.localize", "IsExtrOn.on_preimage", "IsExtrOn.on_subset", "IsExtreme.antisymm", "IsExtreme.convex_diff", "IsExtreme.extremePoints_subset_extremePoints", "IsExtreme.inter", "IsExtreme.mono", "IsExtreme.refl", "IsExtreme.rfl", "IsExtreme.trans", "IsFiberBundle.isCoveringMap", "IsField.isPrincipalIdealRing", "IsField.localization_map_bijective", "IsFiniteMeasure.lintegral_lt_top_of_bounded_to_ennreal", "IsFiniteMeasureOnCompacts.map", "IsFractionRing.charP_of_isFractionRing", "IsFractionRing.charZero_of_isFractionRing", "IsFractionRing.coeSubmodule_injective", "IsFractionRing.coeSubmodule_isPrincipal", "IsFractionRing.coeSubmodule_le_coeSubmodule", "IsFractionRing.coeSubmodule_strictMono", "IsFractionRing.comap_isAlgebraic_iff", "IsFractionRing.div_surjective", "IsFractionRing.eq_zero_of_num_eq_zero", "IsFractionRing.exists_reduced_fraction", "IsFractionRing.ideal_span_singleton_map_subset", "IsFractionRing.injective", "IsFractionRing.integerNormalization_eq_zero_iff", "IsFractionRing.isAlgebraic_iff", "IsFractionRing.isAlgebraic_iff'", "IsFractionRing.isFractionRing_iff_of_base_ringEquiv", "IsFractionRing.isFractionRing_of_isDomain_of_isLocalization", "IsFractionRing.isFractionRing_of_isLocalization", "IsFractionRing.isInteger_of_isUnit_den", "IsFractionRing.isUnit_den_of_num_eq_zero", "IsFractionRing.isUnit_map_of_injective", "IsFractionRing.lift_mk'", "IsFractionRing.mk'_eq_div", "IsFractionRing.mk'_eq_one_iff_eq", "IsFractionRing.mk'_eq_zero_iff_eq_zero", "IsFractionRing.mk'_mk_eq_div", "IsFractionRing.mk'_num_den'", "IsFractionRing.mul_inv_cancel", "IsFractionRing.nontrivial", "IsFractionRing.num_den_reduced", "IsFractionRing.num_mul_den_eq_num_iff_eq'", "IsFractionRing.num_mul_den_eq_num_mul_den_iff_eq", "IsFractionRing.to_map_eq_zero_iff", "IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors", "IsFractional.div_of_nonzero", "IsFractional.inf_right", "IsFractional.map", "IsFractional.mul", "IsFractional.nsmul", "IsFractional.pow", "IsFractional.sup", "IsFreeGroup.lift_symm_apply", "IsFreeGroup.ofLift", "IsFreeGroup.ofMulEquiv", "IsFreeGroup.ofUniqueLift", "IsFreeGroupoid.SpanningTree.endIsFree", "IsFreeGroupoid.SpanningTree.loopOfHom_eq_id", "IsFreeGroupoid.ext_functor", "IsFreeGroupoid.path_nonempty_of_hom", "IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_HaarMeasure", "IsFundamentalDomain.QuotientMeasureEqMeasurePreimage_smulHaarMeasure", "IsFwInvariant.isInvariant", "IsGLB.bddBelow", "IsGLB.biUnion_Ici_eq_Ici", "IsGLB.biUnion_Ici_eq_Ioi", "IsGLB.biUnion_Ioi_eq", "IsGLB.ciInf_eq", "IsGLB.dual", "IsGLB.exists_between", "IsGLB.exists_between_self_add", "IsGLB.exists_seq_strictAnti_tendsto_of_not_mem", "IsGLB.frequently_mem", "IsGLB.frequently_nhds_mem", "IsGLB.iInf_eq", "IsGLB.iUnion_Ioi_eq", "IsGLB.insert", "IsGLB.isLUB_of_tendsto", "IsGLB.lowerBounds_eq", "IsGLB.mem_closure", "IsGLB.mem_lowerBounds_of_tendsto", "IsGLB.mem_of_isClosed", "IsGLB.mem_of_not_isPredLimit", "IsGLB.mem_upperBounds_of_tendsto", "IsGLB.mono", "IsGLB.mul_left", "IsGLB.mul_right", "IsGLB.nhdsWithin_neBot", "IsGLB.of_image", "IsGLB.of_subset_of_superset", "IsGLB.unique", "IsGalois.IntermediateField.AdjoinSimple.card_aut_eq_finrank", "IsGalois.card_aut_eq_finrank", "IsGalois.fixedField_fixingSubgroup", "IsGalois.integral", "IsGalois.is_separable_splitting_field", "IsGalois.of_card_aut_eq_finrank", "IsGalois.of_fixedField_eq_bot", "IsGalois.of_separable_splitting_field", "IsGalois.of_separable_splitting_field_aux", "IsGalois.separable", "IsGalois.splits", "IsGalois.tfae", "IsGenericPoint.disjoint_iff", "IsGenericPoint.eq", "IsGenericPoint.image", "IsGenericPoint.isClosed", "IsGenericPoint.isIrreducible", "IsGenericPoint.mem", "IsGenericPoint.mem_open_set_iff", "IsGenericPoint.specializes_iff_mem", "IsGreatest.antichain_iff", "IsGreatest.bddAbove", "IsGreatest.csSup_eq", "IsGreatest.insert", "IsGreatest.isGreatest_image2_of_isLeast", "IsGreatest.isLUB", "IsGreatest.isLeast_image2", "IsGreatest.lt_iff", "IsGreatest.maximals_eq", "IsGreatest.mem_maximals", "IsGreatest.mono", "IsGreatest.nonempty", "IsGreatest.union", "IsGreatest.unique", "IsGreatest.upperBounds_eq", "IsGroupHom.id", "IsGroupHom.image_subgroup", "IsGroupHom.injective_iff_trivial_ker", "IsGroupHom.injective_of_trivial_ker", "IsGroupHom.inv", "IsGroupHom.inv_iff_ker", "IsGroupHom.isNormalSubgroup_ker", "IsGroupHom.map_div", "IsGroupHom.map_mul'", "IsGroupHom.map_one", "IsGroupHom.mem_ker", "IsGroupHom.mul", "IsGroupHom.one_iff_ker_inv", "IsGroupHom.one_iff_ker_inv'", "IsGroupHom.one_ker_inv", "IsGroupHom.one_ker_inv'", "IsGroupHom.preimage", "IsGroupHom.preimage_normal", "IsGroupHom.range_subgroup", "IsGroupHom.to_isMonoidHom", "IsGroupHom.trivial_ker_iff_eq_one", "IsGroupHom.trivial_ker_of_injective", "IsG\u03b4.biInter", "IsG\u03b4.biInter_of_isOpen", "IsG\u03b4.biUnion", "IsG\u03b4.dense_biUnion_interior_of_closed", "IsG\u03b4.dense_iUnion_interior_of_closed", "IsG\u03b4.dense_sUnion_interior_of_closed", "IsG\u03b4.empty", "IsG\u03b4.iInter", "IsG\u03b4.iInter_of_isOpen", "IsG\u03b4.iUnion", "IsG\u03b4.inter", "IsG\u03b4.measurableSet", "IsG\u03b4.sInter", "IsG\u03b4.sUnion", "IsG\u03b4.setOf_continuousAt", "IsG\u03b4.setOf_irrational", "IsG\u03b4.setOf_liouville", "IsG\u03b4.singleton", "IsHausdorff.haus", "IsHausdorff.subsingleton", "IsHereditarilyLindelof.isLindelof_subset", "IsHilbertSum.hasSum_linearIsometryEquiv_symm", "IsHilbertSum.linearIsometryEquiv_apply_dfinsupp_sum_single", "IsHilbertSum.linearIsometryEquiv_symm_apply", "IsHilbertSum.linearIsometryEquiv_symm_apply_dfinsupp_sum_single", "IsHilbertSum.mk", "IsHilbertSum.mkInternal", "IsHomeomorphicTrivialFiberBundle.continuous_proj", "IsHomeomorphicTrivialFiberBundle.proj_eq", "IsHomeomorphicTrivialFiberBundle.quotientMap_proj", "IsHomeomorphicTrivialFiberBundle.surjective_proj", "IsIdempotentElem.coe_compl", "IsIdempotentElem.coe_zero", "IsIdempotentElem.eq", "IsIdempotentElem.iff_eq_one", "IsIdempotentElem.iff_eq_zero_or_one", "IsIdempotentElem.mul_of_commute", "IsIdempotentElem.of_isIdempotent", "IsIdempotentElem.one", "IsIdempotentElem.one_compl", "IsIdempotentElem.one_sub", "IsIdempotentElem.pow", "IsIdempotentElem.pow_succ_eq", "IsIdempotentElem.zero_compl", "IsIntegral.add", "IsIntegral.algebraMap", "IsIntegral.det", "IsIntegral.exists_multiple_integral_of_isLocalization", "IsIntegral.fg_adjoin_singleton", "IsIntegral.map", "IsIntegral.map_of_comp_eq", "IsIntegral.mem_range_algHom_of_minpoly_splits", "IsIntegral.mem_range_algebraMap_of_minpoly_splits", "IsIntegral.mem_span_pow", "IsIntegral.minpoly_splits_tower_top", "IsIntegral.minpoly_splits_tower_top'", "IsIntegral.mul", "IsIntegral.multiset_sum", "IsIntegral.neg", "IsIntegral.nsmul", "IsIntegral.of_finite", "IsIntegral.of_mem_closure", "IsIntegral.of_mem_of_fg", "IsIntegral.of_mul_unit", "IsIntegral.of_pow", "IsIntegral.pow", "IsIntegral.pow_iff", "IsIntegral.prod", "IsIntegral.smul", "IsIntegral.sub", 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"IsLowerSet.le_card_inter_finset", "IsLowerSet.le_card_inter_finset'", "IsLowerSet.mem_interior_of_forall_lt", "IsLowerSet.memberSubfamily", "IsLowerSet.memberSubfamily_subset_nonMemberSubfamily", "IsLowerSet.mul_right", "IsLowerSet.nonMemberSubfamily", "IsLowerSet.not_bddBelow", "IsLowerSet.not_bot_mem", "IsLowerSet.null_frontier", "IsLowerSet.ordConnected", "IsLowerSet.preimage", "IsLowerSet.sdiff_of_isUpperSet", "IsLowerSet.smul", "IsLowerSet.smul_subset", "IsLowerSet.top_mem", "IsLowerSet.union", "IsLprojection.Lcomplement", "IsLprojection.coe_compl", "IsLprojection.coe_one", "IsLprojection.coe_sdiff", "IsLprojection.coe_sup", "IsLprojection.coe_top", "IsLprojection.coe_zero", "IsLprojection.commute", "IsLprojection.compl_mul", "IsLprojection.distrib_lattice_lemma", "IsLprojection.le_def", "IsLprojection.mul", "IsLprojection.mul_compl_self", "IsMax.Ici_eq", "IsMax.eq_of_ge", "IsMax.eq_of_le", "IsMax.grade", "IsMax.isPredLimit", "IsMax.isTop", "IsMax.mono", "IsMax.not_infIrred", "IsMax.prod_mk", "IsMaxChain.isChain", "IsMaxChain.not_superChain", "IsMaxChain.range_fin_of_covBy", "IsMaxChain.top_mem", "IsMaxFilter.add", "IsMaxFilter.comp_antitone", "IsMaxFilter.comp_tendsto", "IsMaxFilter.filter_inf", "IsMaxFilter.isExtr", "IsMaxFilter.neg", "IsMaxFilter.norm_add_self", "IsMaxFilter.sub", "IsMaxFilter.sup", "IsMaxOn.add", "IsMaxOn.bicomp_mono", "IsMaxOn.comp_mapsTo", "IsMaxOn.comp_mono", "IsMaxOn.isExtr", "IsMaxOn.isLocalMax", "IsMaxOn.localize", "IsMaxOn.max", "IsMaxOn.min", "IsMaxOn.norm_add_sameRay", "IsMaxOn.norm_add_self", "IsMaxOn.on_preimage", "IsMaxOn.sub", "IsMeagre.inter", "IsMeagre.mono", "IsMeagre.of_isSigmaCompact_null", "IsMetricSeparated.disjoint", "IsMetricSeparated.empty_left", "IsMetricSeparated.empty_right", "IsMetricSeparated.finite_iUnion_left_iff", "IsMetricSeparated.finset_iUnion_left_iff", "IsMetricSeparated.finset_iUnion_right_iff", "IsMetricSeparated.mono", "IsMetricSeparated.mono_left", "IsMetricSeparated.subset_compl_right", "IsMetricSeparated.union_left", "IsMetricSeparated.union_left_iff", "IsMetricSeparated.union_right_iff", "IsMin.Iio_eq", "IsMin.eq_of_ge", "IsMin.fst", "IsMin.isBot", "IsMin.isSuccLimit", "IsMin.mono", "IsMin.not_lt", "IsMin.not_supIrred", "IsMinFilter.comp_antitone", "IsMinFilter.comp_mono", "IsMinFilter.comp_tendsto", "IsMinFilter.congr", "IsMinFilter.filter_mono", "IsMinFilter.inf", "IsMinFilter.isExtr", "IsMinFilter.max", "IsMinFilter.neg", "IsMinFilter.sub", "IsMinFilter.tendsto_principal_Ici", "IsMinOn.add", "IsMinOn.bicomp_mono", "IsMinOn.closure", "IsMinOn.comp_mapsTo", "IsMinOn.comp_mono", "IsMinOn.inf", "IsMinOn.isExtr", "IsMinOn.isLocalMin", "IsMinOn.localize", "IsMinOn.max", "IsMinOn.neg", "IsMinOn.of_isLocalMinOn_of_convexOn", "IsMinOn.of_isLocalMinOn_of_convexOn_Icc", "IsMinOn.of_isLocalMin_of_convex_univ", "IsMinOn.on_preimage", "IsMinOn.sub", "IsMinOn.sup", "IsModularLattice.inf_sup_inf_assoc", "IsMonoidHom.inv", "IsMulCentral.left_comm", "IsMulCentral.right_comm", "IsMulFreimanHom.comp", "IsMulFreimanHom.div", "IsMulFreimanHom.inv", "IsMulFreimanHom.mono", "IsMulFreimanHom.mul", "IsMulFreimanHom.mulRothNumber_mono", "IsMulFreimanHom.mul_eq_mul", "IsMulFreimanHom.prod", "IsMulFreimanHom.subset", "IsMulFreimanIso.comp", "IsMulFreimanIso.isMulFreimanHom", "IsMulFreimanIso.mono", "IsMulFreimanIso.mulRothNumber_congr", "IsMulFreimanIso.mul_eq_mul", "IsMulFreimanIso.prod", "IsMulFreimanIso.subset", "IsMulFreimanIso.threeGPFree_congr", "IsMulHom.comp", "IsMulHom.id", "IsMulHom.inv", "IsMulHom.mul", "IsMulHom.to_isMonoidHom", "IsNilpotent.charpoly_eq_X_pow_finrank", "IsNilpotent.eq_zero", "IsNilpotent.isUnit_add_left_of_commute", "IsNilpotent.isUnit_add_one", "IsNilpotent.isUnit_one_add", "IsNilpotent.isUnit_one_sub", "IsNilpotent.isUnit_quotient_mk_iff", "IsNilpotent.isUnit_sub_one", "IsNilpotent.map", "IsNilpotent.map_iff", "IsNilpotent.mk", "IsNilpotent.neg", "IsNilpotent.of_pow", "IsNilpotent.pow_of_pos", "IsNilpotent.pow_succ", "IsNilpotent.smul", "IsNoetherian.bijective_of_surjective_endomorphism", "IsNoetherian.coeSort_finsetBasisIndex", "IsNoetherian.coe_finsetBasisIndex", "IsNoetherian.disjoint_partialSups_eventually_bot", "IsNoetherian.finite_basis_index", "IsNoetherian.iff_fg", "IsNoetherian.iff_rank_lt_aleph0", "IsNoetherian.induction", "IsNoetherian.injective_of_surjective_of_injective", "IsNoetherian.injective_of_surjective_of_submodule", "IsNoetherian.range_finsetBasis", "IsNoetherian.subsingleton_of_prod_injective", "IsNoetherianRing.isNilpotent_nilradical", "IsNormalClosure.normal", "IsNowhereDense.subset_of_closed_isNowhereDense", "IsOfFinOrder.apply", "IsOfFinOrder.eq_neg_one", "IsOfFinOrder.eq_one", "IsOfFinOrder.finite_powers", "IsOfFinOrder.fst", "IsOfFinOrder.isUnit", "IsOfFinOrder.mem_powers_iff_mem_range_orderOf", "IsOfFinOrder.mem_powers_iff_mem_zpowers", "IsOfFinOrder.mem_zpowers_iff_mem_range_orderOf", "IsOfFinOrder.mono", "IsOfFinOrder.mul", "IsOfFinOrder.natCard_powers_le_orderOf", "IsOfFinOrder.norm_eq_one", "IsOfFinOrder.of_mem_zpowers", "IsOfFinOrder.orderOf_pos", "IsOfFinOrder.orderOf_pow", "IsOfFinOrder.pow", "IsOfFinOrder.powers_eq_image_range_orderOf", "IsOfFinOrder.powers_eq_zpowers", "IsOfFinOrder.prod_mk", "IsOfFinOrder.snd", "IsOfFinOrder.zpow", "IsOpen.ae_eq_empty_iff_eq", "IsOpen.ae_eq_zero_of_integral_smooth_smul_eq_zero'", "IsOpen.affineSpan_eq_top", "IsOpen.analyticSet_image", "IsOpen.and", "IsOpen.closure_div", "IsOpen.closure_inter", "IsOpen.closure_mul", "IsOpen.connectedComponentIn", "IsOpen.continuousOn_iff", "IsOpen.continuous_piecewise_of_specializes", "IsOpen.div_closure", "IsOpen.div_left", "IsOpen.div_right", "IsOpen.eq_empty_of_measure_zero", "IsOpen.eventually_mem", "IsOpen.exists_Ioo_subset", "IsOpen.exists_between_affineIndependent_span_eq_top", "IsOpen.exists_iUnion_isClosed", "IsOpen.exists_lt_isClosed", "IsOpen.exists_lt_isCompact", "IsOpen.exists_msmooth_support_eq", "IsOpen.exists_msmooth_support_eq_aux", "IsOpen.exists_positiveCompacts_closure_subset", "IsOpen.exists_smooth_support_eq", "IsOpen.exists_smul_mem", "IsOpen.exterior_eq", "IsOpen.exterior_subset_iff", "IsOpen.frontier_eq", "IsOpen.iUnion_preimage_smul", "IsOpen.inter", "IsOpen.inter_closure", "IsOpen.inter_frontier_eq", "IsOpen.interior_eq", "IsOpen.inv", "IsOpen.isClopenable", "IsOpen.isConnected_iff_isPathConnected", "IsOpen.isEverywherePos", "IsOpen.isG\u03b4", "IsOpen.ite", "IsOpen.ite'", "IsOpen.locallyCompactSpace", "IsOpen.locallyConnectedSpace", "IsOpen.lowerClosure", "IsOpen.lowerSemicontinuousAt_indicator", "IsOpen.lowerSemicontinuousOn_indicator", "IsOpen.lowerSemicontinuousWithinAt_indicator", "IsOpen.lowerSemicontinuous_indicator", "IsOpen.measurableSet", "IsOpen.measure_eq_zero_iff", "IsOpen.measure_ne_zero", "IsOpen.measure_pos", "IsOpen.measure_pos_iff", "IsOpen.mem_nhds", "IsOpen.mem_nhdsSet", "IsOpen.mem_nhds_iff", "IsOpen.mono", "IsOpen.mul_closure", "IsOpen.mul_closure_one_eq", "IsOpen.mul_right", "IsOpen.nhdsWithin_eq", "IsOpen.not_inseparable", "IsOpen.not_specializes", "IsOpen.openEmbedding_subtype_val", "IsOpen.polishSpace", "IsOpen.preimage", "IsOpen.prod", "IsOpen.reProdIm", "IsOpen.sdiff", "IsOpen.smul_left", "IsOpen.strictConvex_iff", "IsOpen.tendstoLocallyUniformlyOn_iff_forall_tendsto", "IsOpen.trans", "IsOpen.union", "IsOpen.uniqueDiffOn", "IsOpen.uniqueDiffWithinAt", "IsOpen.uniqueMDiffOn", "IsOpen.uniqueMDiffWithinAt", "IsOpen.upperClosure", "IsOpen.upperSemicontinuousOn_indicator", "IsOpenMap.comp", "IsOpenMap.continuousOn_image_of_leftInvOn", "IsOpenMap.continuousOn_range_of_leftInverse", "IsOpenMap.coverPreserving", "IsOpenMap.id", "IsOpenMap.image_interior_subset", "IsOpenMap.image_mem_nhds", "IsOpenMap.interior_preimage_subset_preimage_interior", "IsOpenMap.isOpen_range", "IsOpenMap.mapsTo_interior", "IsOpenMap.nhds_le", "IsOpenMap.of_inverse", "IsOpenMap.of_sections", "IsOpenMap.preimage_closure_eq_closure_preimage", "IsOpenMap.preimage_closure_subset_closure_preimage", "IsOpenMap.preimage_frontier_eq_frontier_preimage", "IsOpenMap.preimage_frontier_subset_frontier_preimage", "IsOpenMap.prod", "IsOpenMap.range_mem_nhds", "IsOpenMap.restrict", "IsOpenMap.restrictPreimage", "IsOrderConnected.neg_trans", "IsOrderRightAdjoint.comp_orderIso", "IsOrderRightAdjoint.right_mono", "IsOrderRightAdjoint.unique", "IsPGroup.bot_lt_center", "IsPGroup.card_center_eq_prime_pow", "IsPGroup.card_eq_or_dvd", "IsPGroup.card_modEq_card_fixedPoints", "IsPGroup.card_orbit", "IsPGroup.center_nontrivial", "IsPGroup.comap_of_injective", "IsPGroup.comap_of_ker_isPGroup", "IsPGroup.coprime_card_of_ne", "IsPGroup.cyclic_center_quotient_of_card_eq_prime_sq", "IsPGroup.disjoint_of_ne", "IsPGroup.exists_fixed_point_of_prime_dvd_card_of_fixed_point", "IsPGroup.exists_le_sylow", "IsPGroup.iff_card", "IsPGroup.index", "IsPGroup.isNilpotent", "IsPGroup.ker_isPGroup_of_injective", "IsPGroup.map", "IsPGroup.nonempty_fixed_point_of_prime_not_dvd_card", "IsPGroup.nontrivial_iff_card", "IsPGroup.of_bot", "IsPGroup.of_card", "IsPGroup.of_equiv", "IsPGroup.of_surjective", "IsPGroup.orderOf_coprime", "IsPGroup.powEquiv_apply", "IsPGroup.sylow_mem_fixedPoints_iff", "IsPGroup.to_inf_left", "IsPGroup.to_inf_right", "IsPGroup.to_subgroup", "IsPGroup.to_sup_of_normal_left'", "IsPGroup.to_sup_of_normal_right", "IsPGroup.to_sup_of_normal_right'", "IsPRadical.comap_pNilradical", "IsPRadical.injective_comp", "IsPRadical.injective_comp_of_pNilradical_eq_bot", "IsPRadical.injective_comp_of_perfect", "IsPRadical.isPurelyInseparable", "IsPRadical.ker_le", "IsPRadical.pow_mem", "IsPRadical.trans", "IsPartialOrder.swap", "IsPathConnected.exists_path_through_family", "IsPathConnected.exists_path_through_family'", "IsPathConnected.image", "IsPathConnected.image'", "IsPathConnected.isConnected", "IsPathConnected.union", "IsPerfectClosure.equiv_apply", "IsPerfectClosure.equiv_comp", "IsPerfectClosure.equiv_comp_apply", "IsPerfectClosure.equiv_comp_equiv_eq_id", "IsPerfectClosure.equiv_self", "IsPerfectClosure.equiv_self_apply", "IsPerfectClosure.equiv_toRingHom", "IsPiSystem.comap", "IsPiSystem.insert_empty", "IsPiSystem.pi", "IsPiSystem.prod", "IsPiSystem.singleton", "IsPicardLindelof.exists_forall_hasDerivWithinAt_Icc_eq", "IsPoly.add", "IsPoly.neg", "IsPreconnected.Icc_subset", "IsPreconnected.Iio_csSup_subset", "IsPreconnected.Ioi_csInf_subset", "IsPreconnected.biUnion_of_chain", "IsPreconnected.biUnion_of_reflTransGen", "IsPreconnected.closure", "IsPreconnected.constant", "IsPreconnected.constant_of_mapsTo", "IsPreconnected.eq_of_sq_eq", "IsPreconnected.eq_one_or_eq_neg_one_of_sq_eq", "IsPreconnected.eq_or_eq_neg_of_sq_eq", "IsPreconnected.eq_univ_of_unbounded", "IsPreconnected.iUnion_of_chain", "IsPreconnected.iUnion_of_reflTransGen", "IsPreconnected.image", "IsPreconnected.induction\u2082", "IsPreconnected.induction\u2082'", "IsPreconnected.infinite_of_nontrivial", "IsPreconnected.intermediate_value", "IsPreconnected.intermediate_value_Ici", "IsPreconnected.intermediate_value_Iii", "IsPreconnected.intermediate_value_Ioc", "IsPreconnected.intermediate_value\u2082", "IsPreconnected.intermediate_value\u2082_eventually\u2081", "IsPreconnected.intermediate_value\u2082_eventually\u2082", "IsPreconnected.measurableSet", "IsPreconnected.mem_intervals", "IsPreconnected.preimage_of_isClosedMap", "IsPreconnected.preimage_of_isOpenMap", "IsPreconnected.prod", "IsPreconnected.sUnion_directed", "IsPreconnected.subset_closure", "IsPreconnected.subset_connectedComponentIn", "IsPreconnected.subset_left_of_subset_union", "IsPreconnected.subset_of_closure_inter_subset", "IsPreconnected.subset_or_subset", "IsPreconnected.subset_right_of_subset_union", "IsPreconnected.union", "IsPreconnected.union'", "IsPreirreducible.image", "IsPreirreducible.isPreconnected", "IsPreirreducible.open_subset", "IsPreirreducible.preimage", "IsPreirreducible.subset_irreducible", "IsPreirreducible.subsingleton", "IsPrimal.mul", "IsPrime.to_maximal_ideal", "IsPrimePow.dvd", "IsPrimePow.exists_ord_compl_eq_one", "IsPrimePow.minFac_pow_factorization_eq", "IsPrimePow.one_lt", "IsPrimePow.pos", "IsPrimePow.pow", "IsPrimePow.two_le", "IsPrimitiveRoot.adjoin_isCyclotomicExtension", "IsPrimitiveRoot.arg", "IsPrimitiveRoot.arg_eq_pi_iff", "IsPrimitiveRoot.arg_eq_zero_iff", "IsPrimitiveRoot.arg_ext", "IsPrimitiveRoot.autToPow_eq_ModularCyclotomicCharacter", "IsPrimitiveRoot.autToPow_spec", "IsPrimitiveRoot.card_nthRoots", "IsPrimitiveRoot.card_nthRootsFinset", "IsPrimitiveRoot.card_nthRoots_one", "IsPrimitiveRoot.card_primitiveRoots", "IsPrimitiveRoot.card_quotient_toInteger_sub_one", "IsPrimitiveRoot.card_rootsOfUnity", "IsPrimitiveRoot.card_rootsOfUnity'", "IsPrimitiveRoot.coe_autToPow_apply", "IsPrimitiveRoot.coe_submonoidClass_iff", "IsPrimitiveRoot.coe_units_iff", "IsPrimitiveRoot.discr_zeta_eq_discr_zeta_sub_one", "IsPrimitiveRoot.disjoint", "IsPrimitiveRoot.dvd_of_isCyclotomicExtension", "IsPrimitiveRoot.eq_neg_one_of_two_right", "IsPrimitiveRoot.eq_orderOf", "IsPrimitiveRoot.eq_pow_of_mem_rootsOfUnity", "IsPrimitiveRoot.eq_pow_of_mem_rootsOfUnity'", "IsPrimitiveRoot.eq_pow_of_pow_eq_one", "IsPrimitiveRoot.exists_neg_pow_of_isOfFinOrder", "IsPrimitiveRoot.exists_pow_or_neg_mul_pow_of_isOfFinOrder", "IsPrimitiveRoot.finite_quotient_span_sub_one", "IsPrimitiveRoot.finite_quotient_span_sub_one'", "IsPrimitiveRoot.finite_quotient_toInteger_sub_one", "IsPrimitiveRoot.geom_sum_eq_zero", "IsPrimitiveRoot.injOn_pow", "IsPrimitiveRoot.injOn_pow_mul", "IsPrimitiveRoot.integralPowerBasis'_gen", "IsPrimitiveRoot.integralPowerBasis_dim", "IsPrimitiveRoot.integralPowerBasis_gen", "IsPrimitiveRoot.inv", "IsPrimitiveRoot.inv_iff", "IsPrimitiveRoot.isIntegral", "IsPrimitiveRoot.isPrimitiveRoot_iff", "IsPrimitiveRoot.isPrimitiveRoot_iff'", "IsPrimitiveRoot.isRoot_cyclotomic", "IsPrimitiveRoot.isUnit", "IsPrimitiveRoot.isUnit_unit", "IsPrimitiveRoot.isUnit_unit'", "IsPrimitiveRoot.is_roots_of_minpoly", "IsPrimitiveRoot.lcm_totient_le_finrank", "IsPrimitiveRoot.map_of_injective", "IsPrimitiveRoot.map_rootsOfUnity", "IsPrimitiveRoot.mem_nthRootsFinset", "IsPrimitiveRoot.mem_rootsOfUnity", "IsPrimitiveRoot.minpoly_dvd_cyclotomic", "IsPrimitiveRoot.minpoly_dvd_expand", "IsPrimitiveRoot.minpoly_dvd_mod_p", "IsPrimitiveRoot.minpoly_dvd_pow_mod", "IsPrimitiveRoot.minpoly_dvd_x_pow_sub_one", "IsPrimitiveRoot.minpoly_eq_cyclotomic_of_irreducible", "IsPrimitiveRoot.minpoly_eq_pow", "IsPrimitiveRoot.minpoly_eq_pow_coprime", "IsPrimitiveRoot.minpoly_sub_one_eq_cyclotomic_comp", "IsPrimitiveRoot.mk_of_lt", "IsPrimitiveRoot.neZero'", "IsPrimitiveRoot.ne_one", "IsPrimitiveRoot.neg_one", "IsPrimitiveRoot.nnnorm_eq_one", "IsPrimitiveRoot.norm'_eq_one", "IsPrimitiveRoot.norm_eq_neg_one_pow", "IsPrimitiveRoot.norm_eq_one", "IsPrimitiveRoot.norm_eq_one_of_linearly_ordered", "IsPrimitiveRoot.norm_of_cyclotomic_irreducible", "IsPrimitiveRoot.norm_pow_sub_one_eq_prime_pow_of_ne_zero", "IsPrimitiveRoot.norm_pow_sub_one_of_prime_ne_two", "IsPrimitiveRoot.norm_pow_sub_one_of_prime_pow_ne_two", "IsPrimitiveRoot.norm_pow_sub_one_two", "IsPrimitiveRoot.norm_sub_one_of_prime_ne_two", "IsPrimitiveRoot.norm_sub_one_of_prime_ne_two'", "IsPrimitiveRoot.norm_sub_one_two", "IsPrimitiveRoot.norm_toInteger_pow_sub_one_of_prime_ne_two", "IsPrimitiveRoot.norm_toInteger_pow_sub_one_of_prime_pow_ne_two", "IsPrimitiveRoot.norm_toInteger_pow_sub_one_of_two", "IsPrimitiveRoot.norm_toInteger_sub_one_of_prime_ne_two", "IsPrimitiveRoot.norm_toInteger_sub_one_of_prime_ne_two'", "IsPrimitiveRoot.not_exists_int_prime_dvd_sub_of_prime_ne_two", "IsPrimitiveRoot.not_exists_int_prime_dvd_sub_of_prime_ne_two'", "IsPrimitiveRoot.not_exists_int_prime_dvd_sub_of_prime_pow_ne_two", "IsPrimitiveRoot.not_iff", "IsPrimitiveRoot.nrRealPlaces_eq_zero_of_two_lt", "IsPrimitiveRoot.nthRoots_eq", "IsPrimitiveRoot.nthRoots_nodup", "IsPrimitiveRoot.nthRoots_one_eq_biUnion_primitiveRoots", "IsPrimitiveRoot.nthRoots_one_eq_biUnion_primitiveRoots'", "IsPrimitiveRoot.nthRoots_one_nodup", "IsPrimitiveRoot.of_map_of_injective", "IsPrimitiveRoot.one", "IsPrimitiveRoot.one_right_iff", "IsPrimitiveRoot.orderOf", "IsPrimitiveRoot.pow", "IsPrimitiveRoot.pow_eq_one_iff_dvd", "IsPrimitiveRoot.pow_iff_coprime", "IsPrimitiveRoot.pow_inj", "IsPrimitiveRoot.pow_isRoot_minpoly", "IsPrimitiveRoot.pow_mul_pow_lcm", "IsPrimitiveRoot.pow_of_coprime", "IsPrimitiveRoot.pow_of_dvd", "IsPrimitiveRoot.pow_of_prime", "IsPrimitiveRoot.pow_sub_one_eq", "IsPrimitiveRoot.powerBasis_gen_mem_adjoin_zeta_sub_one", "IsPrimitiveRoot.prime_norm_toInteger_sub_one_of_prime_ne_two", "IsPrimitiveRoot.prime_norm_toInteger_sub_one_of_prime_ne_two'", "IsPrimitiveRoot.prime_norm_toInteger_sub_one_of_prime_pow_ne_two", "IsPrimitiveRoot.primitiveRoots_one", "IsPrimitiveRoot.prod_one_sub_pow_eq_order", "IsPrimitiveRoot.prod_pow_sub_one_eq_order", "IsPrimitiveRoot.self_sub_one_pow_dvd_order", "IsPrimitiveRoot.separable_minpoly_mod", "IsPrimitiveRoot.subOneIntegralPowerBasis'_gen", "IsPrimitiveRoot.subOneIntegralPowerBasis_gen", "IsPrimitiveRoot.subOneIntegralPowerBasis_gen_prime", "IsPrimitiveRoot.sub_one_ne_zero", "IsPrimitiveRoot.sub_one_norm_eq_eval_cyclotomic", "IsPrimitiveRoot.sub_one_norm_isPrimePow", "IsPrimitiveRoot.toInteger_isPrimitiveRoot", "IsPrimitiveRoot.toInteger_sub_one_dvd_prime", "IsPrimitiveRoot.toInteger_sub_one_dvd_prime'", "IsPrimitiveRoot.toInteger_sub_one_not_dvd_two", "IsPrimitiveRoot.totient_le_degree_minpoly", "IsPrimitiveRoot.unique", "IsPrimitiveRoot.zero", "IsPrimitiveRoot.zeta_sub_one_prime'", "IsPrimitiveRoot.zeta_sub_one_prime_of_ne_two", "IsPrimitiveRoot.zeta_sub_one_prime_of_two_pow", "IsPrimitiveRoot.zmodEquivZPowers_apply_coe_int", "IsPrimitiveRoot.zmodEquivZPowers_apply_coe_nat", "IsPrimitiveRoot.zmodEquivZPowers_symm_apply_pow", "IsPrimitiveRoot.zmodEquivZPowers_symm_apply_zpow", "IsPrimitiveRoot.zpow_eq_one", "IsPrimitiveRoot.zpow_eq_one_iff_dvd", "IsPrimitiveRoot.zpow_of_gcd_eq_one", "IsPrimitiveRoot.zpowers_eq", "IsPrincipalIdealRing.of_finite_primes", "IsPrincipalIdealRing.of_prime", "IsPrincipalIdealRing.of_surjective", "IsProjective.iff_projective", "IsProperMap.comp", "IsProperMap.continuous", "IsProperMap.isClosedMap", "IsProperMap.isCompact_preimage", "IsProperMap.pi_map", "IsProperMap.prod_map", "IsProperMap.ultrafilter_le_nhds_of_tendsto", "IsProperMap.universally_closed", "IsPurelyInseparable.finInsepDegree_eq", "IsPurelyInseparable.finSepDegree_eq_one", "IsPurelyInseparable.injective_comp_algebraMap", "IsPurelyInseparable.insepDegree_eq", "IsPurelyInseparable.isAlgebraic", "IsPurelyInseparable.isIntegral'", "IsPurelyInseparable.minpoly_eq_X_pow_sub_C", "IsPurelyInseparable.minpoly_eq_X_sub_C_pow", "IsPurelyInseparable.pow_mem", "IsPurelyInseparable.sepDegree_eq_one", "IsPurelyInseparable.surjective_algebraMap_of_isSeparable", "IsPurelyInseparable.tower_bot", "IsPurelyInseparable.tower_top", "IsPurelyInseparable.trans", "IsQuasiSeparated.image_of_embedding", "IsQuasiSeparated.of_quasiSeparatedSpace", "IsQuasiSeparated.of_subset", "IsQuasiregular.isUnit_one_add", "IsQuasiregular.map", "IsRadical.of_dvd", "IsRadical.squarefree", "IsRegular.all", "IsRegular.mul", "IsRegular.ne_zero", "IsRegular.pow_iff", "IsRegular.star", "IsRegular.subsingleton", "IsRelPrime.add_mul_left_left", "IsRelPrime.add_mul_left_left_iff", "IsRelPrime.add_mul_left_right", "IsRelPrime.add_mul_right_left", "IsRelPrime.add_mul_right_left_iff", "IsRelPrime.dvd_of_dvd_mul_left", "IsRelPrime.dvd_of_dvd_mul_left_of_isPrimal", "IsRelPrime.dvd_of_dvd_mul_right", "IsRelPrime.isCoprime", "IsRelPrime.mul_add_left_right", "IsRelPrime.mul_add_left_right_iff", "IsRelPrime.mul_add_right_left_iff", "IsRelPrime.mul_add_right_right", "IsRelPrime.mul_dvd", "IsRelPrime.mul_dvd_of_left_isPrimal", "IsRelPrime.mul_dvd_of_right_isPrimal", "IsRelPrime.mul_left", "IsRelPrime.mul_left_iff", "IsRelPrime.mul_right_iff", "IsRelPrime.ne_zero_or_ne_zero", "IsRelPrime.neg_left", "IsRelPrime.neg_left_iff", "IsRelPrime.neg_neg_iff", "IsRelPrime.neg_right", "IsRelPrime.of_add_mul_left_left", "IsRelPrime.of_add_mul_left_right", "IsRelPrime.of_add_mul_right_left", "IsRelPrime.of_dvd_left", "IsRelPrime.of_mul_add_left_right", "IsRelPrime.of_mul_left_right", "IsRelPrime.of_mul_right_left", "IsRelPrime.of_mul_right_right", "IsRelPrime.of_squarefree_mul", "IsRelPrime.pow_left", "IsRelPrime.pow_left_iff", "IsRelPrime.pow_right", "IsRelPrime.prod_left", "IsRelPrime.prod_left_iff", "IsRelPrime.prod_right", "IsRelPrime.prod_right_iff", "IsRelPrime.symm", "IsRightCancelMulZero.to_isLeftCancelMulZero", "IsRightCancelMulZero.to_noZeroDivisors", "IsRightRegular.all", "IsRightRegular.left_of_commute", "IsRightRegular.mul", "IsRightRegular.mul_right_eq_zero_iff", "IsRightRegular.ne_zero", "IsRightRegular.of_mul", "IsRightRegular.pow", "IsRightRegular.pow_iff", "IsRightRegular.prod", "IsRightRegular.star", "IsRightRegular.subsingleton", "IsRingHom.comp", "IsRingHom.id", "IsRingHom.map_neg", "IsRingHom.map_sub", "IsRingHom.of_semiring", "IsRingHom.to_isAddGroupHom", "IsRingHom.to_isSemiringHom", "IsSMulRegular.eq_zero_of_smul_eq_zero", "IsSMulRegular.finsupp", "IsSMulRegular.isLeftRegular", "IsSMulRegular.isRightRegular", "IsSMulRegular.isSMulRegular_on_quot_iff_smul_top_inf_eq_smul", "IsSMulRegular.lTensor", "IsSMulRegular.matrix", "IsSMulRegular.mul_iff", "IsSMulRegular.not_zero", "IsSMulRegular.not_zero_iff", "IsSMulRegular.of_injective", "IsSMulRegular.of_mul", "IsSMulRegular.of_smul", "IsSMulRegular.of_smul_eq_one", "IsSMulRegular.one", "IsSMulRegular.pow", "IsSMulRegular.pow_iff", "IsSMulRegular.smul", "IsSMulRegular.smul_iff", "IsSMulRegular.submodule", "IsSMulRegular.subsingleton", "IsSMulRegular.zero_iff_subsingleton", "IsScalarTower.Algebra.ext", "IsScalarTower.adjoin_range_toAlgHom", "IsScalarTower.algebraMap_apply", "IsScalarTower.algebraMap_eq", "IsScalarTower.algebraMap_smul", "IsScalarTower.coe_toAlgHom", "IsScalarTower.coe_toAlgHom'", "IsScalarTower.of_algebraMap_eq", "IsScalarTower.of_algebraMap_eq'", "IsScalarTower.of_algebraMap_smul", "IsScalarTower.of_mclosure_eq_top", "IsScalarTower.of_smul_one_mul", "IsScalarTower.smulHomClass", "IsSelfAdjoint.add", "IsSelfAdjoint.add_star_self", "IsSelfAdjoint.adjoint_conj", "IsSelfAdjoint.adjoint_eq", "IsSelfAdjoint.algebraMap", "IsSelfAdjoint.all", "IsSelfAdjoint.coe_selfAdjointPart_apply", "IsSelfAdjoint.commute_iff", "IsSelfAdjoint.conj_adjoint", "IsSelfAdjoint.conj_eq", "IsSelfAdjoint.conj_orthogonalProjection", "IsSelfAdjoint.conjugate", "IsSelfAdjoint.conjugate'", "IsSelfAdjoint.dense_domain", "IsSelfAdjoint.div", "IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn", "IsSelfAdjoint.eq_smul_self_of_isLocalExtrOn_real", "IsSelfAdjoint.exp", "IsSelfAdjoint.hasEigenvector_of_isLocalExtrOn", "IsSelfAdjoint.hasEigenvector_of_isMaxOn", "IsSelfAdjoint.hasEigenvector_of_isMinOn", "IsSelfAdjoint.imaginaryPart", "IsSelfAdjoint.intCast", "IsSelfAdjoint.inv", "IsSelfAdjoint.isStarNormal", "IsSelfAdjoint.le_algebraMap_norm_self", "IsSelfAdjoint.linearly_dependent_of_isLocalExtrOn", "IsSelfAdjoint.mem_spectrum_eq_re", "IsSelfAdjoint.mono", "IsSelfAdjoint.mul", "IsSelfAdjoint.mul_star_self", "IsSelfAdjoint.natCast", "IsSelfAdjoint.neg", "IsSelfAdjoint.neg_algebraMap_norm_le_self", "IsSelfAdjoint.nnnorm_pow_two_pow", "IsSelfAdjoint.ofNat", "IsSelfAdjoint.one", "IsSelfAdjoint.pow", "IsSelfAdjoint.ratCast", "IsSelfAdjoint.skewAdjointPart_apply", "IsSelfAdjoint.smul", "IsSelfAdjoint.smul_mem_skewAdjoint", "IsSelfAdjoint.spectralRadius_eq_nnnorm", "IsSelfAdjoint.spectrumRestricts", "IsSelfAdjoint.sq_spectrumRestricts", "IsSelfAdjoint.star_add_self", "IsSelfAdjoint.star_eq", "IsSelfAdjoint.star_iff", "IsSelfAdjoint.star_mul_self", "IsSelfAdjoint.sub", "IsSelfAdjoint.val_re_map_spectrum", "IsSelfAdjoint.zpow", "IsSemiringHom.comp", "IsSemiringHom.id", "IsSemiringHom.to_isMonoidHom", "IsSemisimpleModule.annihilator_isRadical", "IsSemisimpleModule.congr", "IsSemisimpleModule.eq_bot_or_exists_simple_le", "IsSemisimpleModule.of_sSup_simples_eq_top", "IsSemisimpleModule.range", "IsSemisimpleModule.sSup_simples_eq_top", "IsSemisimpleModule.sup", "IsSemisimpleRing.ideal_eq_span_idempotent", "IsSepClosed.algebraMap_surjective", "IsSepClosed.degree_eq_one_of_irreducible", "IsSepClosed.exists_aeval_eq_zero", "IsSepClosed.exists_eq_mul_self", "IsSepClosed.exists_eval\u2082_eq_zero", "IsSepClosed.exists_pow_nat_eq", "IsSepClosed.exists_root", "IsSepClosed.of_exists_root", "IsSepClosed.roots_eq_zero_iff", "IsSepClosed.separableClosure_eq_bot_iff", "IsSepClosed.splits_codomain", "IsSepClosed.splits_domain", "IsSeparable.insepDegree_eq", "IsSeparable.isIntegral", "IsSeparable.of_algHom", "IsSeparable.of_equiv_equiv", "IsSeparable.sepDegree_eq", "IsSeparable.separable", "IsSeparable.trans", "IsSeparatedMap.comp_left", "IsSeparatedMap.constOn_of_comp", "IsSeparatedMap.eqOn_of_comp_eqOn", "IsSeparatedMap.eq_of_comp_eq", "IsSeparatedMap.isClosed_eqLocus", "IsSeparatedMap.pullback", "IsSeqClosed.isClosed", "IsSeqClosed.seqClosure_eq", "IsSeqCompact.isCompact", "IsSeqCompact.isComplete", "IsSeqCompact.totallyBounded", "IsSigmaCompact.image", "IsSigmaCompact.isLindelof", "IsSigmaCompact.of_isClosed_subset", "IsSimpleGroup.comm_iff_isSolvable", "IsSimpleGroup.derivedSeries_succ", "IsSimpleGroup.isSimpleGroup_of_surjective", "IsSimpleGroup.prime_card", "IsSimpleModule.congr", "IsSimpleModule.isAtom", "IsSimpleModule.ker_toSpanSingleton_isMaximal", "IsSimpleModule.nontrivial", "IsSimpleModule.toSpanSingleton_surjective", "IsSimpleOrder.bot_ne_top", "IsSimpleOrder.eq_bot_of_lt", "IsSimpleOrder.eq_top_of_lt", "IsSl2Triple.HasPrimitiveVectorWith.exists_nat", "IsSl2Triple.HasPrimitiveVectorWith.lie_e_pow_succ_toEnd_f", "IsSl2Triple.HasPrimitiveVectorWith.lie_f_pow_toEnd_f", "IsSl2Triple.HasPrimitiveVectorWith.lie_h_pow_toEnd_f", "IsSl2Triple.HasPrimitiveVectorWith.mk'", "IsSl2Triple.HasPrimitiveVectorWith.pow_toEnd_f_eq_zero_of_eq_nat", "IsSl2Triple.HasPrimitiveVectorWith.pow_toEnd_f_ne_zero_of_eq_nat", "IsSl2Triple.e_ne_zero", "IsSl2Triple.f_ne_zero", "IsSl2Triple.h_eq_coroot", "IsSl2Triple.lie_h_e_smul", "IsSl2Triple.lie_lie_smul_f", "IsSl2Triple.symm", "IsSl2Triple.symm_iff", "IsSpectralMap.comp", "IsSpectralMap.continuous", "IsSquare.div", "IsSquare.mul", "IsSquare.not_prime", "IsSquare.pow", "IsSquare.zpow", "IsSquare_sq", "IsStarNormal.spectralRadius_eq_nnnorm", "IsStrictOrder.swap", "IsStrongAntichain.eq", "IsStrongAntichain.flip", "IsStrongAntichain.image", "IsStrongAntichain.mono", "IsStrongAntichain.preimage", "IsStrongAntichain.subset", "IsStrongAntichain.subsingleton", "IsSubfield.div_mem", "IsSubfield.iInter", "IsSubfield.inter", "IsSubfield.pow_mem", "IsSubgroup.center_normal", "IsSubgroup.eq_trivial_iff", "IsSubgroup.iInter", "IsSubgroup.inv_mem_iff", "IsSubgroup.mem_center", "IsSubgroup.mem_norm_comm_iff", "IsSubgroup.mul_mem_cancel_left", "IsSubgroup.mul_mem_cancel_right", "IsSubgroup.normalizer_isSubgroup", "IsSubgroup.of_div", "IsSubgroup.subset_normalizer", "IsSubgroup.trivial_eq_closure", "IsSubgroup.univ_subgroup", "IsSublattice.inter", "IsSublattice.preimage", "IsSublattice.prod", "IsSublattice_range", "IsSubmonoid.finset_prod_mem", "IsSubmonoid.iInter", "IsSubmonoid.image", "IsSubmonoid.list_prod_mem", "IsSubmonoid.multiset_prod_mem", "IsSubmonoid.pow_mem", "IsSubmonoid.powers_subset", "IsSubmonoid.preimage", "IsSubring.iInter", "IsSubring.inter", "IsSymmOp.flip_eq", "IsTensorProduct.equiv_symm_apply", "IsTensorProduct.inductionOn", "IsTensorProduct.lift_eq", "IsTop.Iic_eq", "IsTop.fst", "IsTop.mono", "IsTop.prod_mk", "IsTopologicalBasis.iInf", "IsTopologicalBasis.iInf_induced", "IsTorsion.extension_closed", "IsTorsion.not_torsion_free", "IsTorsion.of_surjective", "IsTorsion.quotient_iff", "IsTorsion.subgroup", "IsTorsionFree.not_torsion", "IsTorsionFree.of_noZeroSMulDivisors", "IsTorsionFree.prod", "IsTorsionFree.quotient_torsion", "IsTorsionFree.subgroup", "IsTotal.directed", "IsTotal.swap", "IsTrans.swap", "IsTranscendenceBasis.isAlgebraic", "IsTrichotomous.swap", "IsUnifLocDoublingMeasure.ae_tendsto_average", "IsUnifLocDoublingMeasure.ae_tendsto_average_norm_sub", "IsUnifLocDoublingMeasure.ae_tendsto_measure_inter_div", "IsUnifLocDoublingMeasure.closedBall_mem_vitaliFamily_of_dist_le_mul", "IsUnifLocDoublingMeasure.eventually_measure_le_scaling_constant_mul", "IsUnifLocDoublingMeasure.eventually_measure_le_scaling_constant_mul'", "IsUnifLocDoublingMeasure.eventually_measure_mul_le_scalingConstantOf_mul", "IsUnifLocDoublingMeasure.exists_eventually_forall_measure_closedBall_le_mul", "IsUnifLocDoublingMeasure.exists_measure_closedBall_le_mul", "IsUnifLocDoublingMeasure.measure_mul_le_scalingConstantOf_mul", "IsUnifLocDoublingMeasure.one_le_scalingConstantOf", "IsUnifLocDoublingMeasure.scalingScaleOf_pos", "IsUnifLocDoublingMeasure.tendsto_closedBall_filterAt", "IsUnit.aemeasurable_const_smul_iff", "IsUnit.aestronglyMeasurable_const_smul_iff", "IsUnit.coe_liftRight", "IsUnit.continuousAt_const_smul_iff", "IsUnit.continuousOn_const_smul_iff", "IsUnit.continuousWithinAt_const_smul_iff", "IsUnit.div", "IsUnit.div_div_cancel", "IsUnit.div_div_cancel_left", "IsUnit.div_eq_div_iff", "IsUnit.div_eq_iff", "IsUnit.div_eq_one_iff_eq", "IsUnit.div_left_inj", "IsUnit.div_mul_cancel", "IsUnit.div_mul_cancel_left", "IsUnit.div_mul_cancel_right", "IsUnit.div_mul_left", "IsUnit.div_mul_right", "IsUnit.div_self", "IsUnit.dvd", "IsUnit.dvd_mul_left", "IsUnit.dvd_mul_right", "IsUnit.eq_div_iff", "IsUnit.eq_on_inv", "IsUnit.filter", "IsUnit.finset", "IsUnit.inv", "IsUnit.inv_mul_cancel", "IsUnit.inv_mul_cancel_left", "IsUnit.inv_mul_eq_iff_eq_mul", "IsUnit.isClosedMap_smul", "IsUnit.isNilpotent_mul_unit_of_commute_iff", "IsUnit.isNilpotent_unit_mul_of_commute_iff", "IsUnit.isOpenMap_smul", "IsUnit.isRegular", "IsUnit.isRelPrime_left", "IsUnit.isRelPrime_right", "IsUnit.isSMulRegular", "IsUnit.isUnit_iff_mulLeft_bijective", "IsUnit.isUnit_iff_mulRight_bijective", "IsUnit.liftRight_inv_mul", "IsUnit.map", "IsUnit.map'", "IsUnit.mem_nonZeroDivisors", "IsUnit.mem_submonoid_iff", "IsUnit.mem_unitary_of_mul_star_self", "IsUnit.mk0", "IsUnit.mul", "IsUnit.mul_div_cancel", "IsUnit.mul_div_cancel_right", "IsUnit.mul_div_mul_left", "IsUnit.mul_div_mul_right", "IsUnit.mul_eq_mul_of_div_eq_div", "IsUnit.mul_eq_one_iff_eq_inv", "IsUnit.mul_iff", "IsUnit.mul_inv_cancel", "IsUnit.mul_inv_cancel_left", "IsUnit.mul_inv_cancel_right", "IsUnit.mul_inv_eq_iff_eq_mul", "IsUnit.mul_inv_eq_one", "IsUnit.mul_left_cancel", "IsUnit.mul_left_dvd", "IsUnit.mul_left_eq_zero", "IsUnit.mul_left_inj", "IsUnit.mul_mul_div", "IsUnit.mul_one_div_cancel", "IsUnit.mul_right_cancel", "IsUnit.mul_right_dvd", "IsUnit.mul_right_eq_zero", "IsUnit.mul_right_injective", "IsUnit.mul_val_inv", "IsUnit.ne_zero", "IsUnit.neg", "IsUnit.neg_iff", "IsUnit.nonempty_invertible", "IsUnit.of_leftInverse", "IsUnit.one_div_mul_cancel", "IsUnit.pow", "IsUnit.ring_inverse", "IsUnit.smul", "IsUnit.smul_eq_zero", "IsUnit.smul_left_cancel", "IsUnit.smul_sub_iff_sub_inv_smul", "IsUnit.squarefree", "IsUnit.sub_iff", "IsUnit.tendsto_const_smul_iff", "IsUnit.unit_of_val_units", "IsUnit.unit_one", "IsUnit.unit_spec", "IsUnit.unop", "IsUnit.val_inv_mul", "IsUnit.val_inv_unit'", "IsUnramifiedAtInfinitePlaces.card_infinitePlace", "IsUnramifiedAtInfinitePlaces.top", "IsUnramifiedAtInfinitePlaces_of_odd_card_aut", "IsUpperSet.Ioi_subset", "IsUpperSet.bot_mem", "IsUpperSet.card_inter_le_finset", "IsUpperSet.compl", "IsUpperSet.cthickening'", "IsUpperSet.dirSupClosed", "IsUpperSet.disjoint_lowerClosure_right", "IsUpperSet.div_left", "IsUpperSet.div_right", "IsUpperSet.exists_subset_ball", "IsUpperSet.image", "IsUpperSet.inter", "IsUpperSet.interior", "IsUpperSet.inv", "IsUpperSet.isLowerSet_preimage_coe", "IsUpperSet.le_card_inter_finset", "IsUpperSet.mem_interior_of_forall_lt", "IsUpperSet.mul_left", "IsUpperSet.mul_right", "IsUpperSet.not_bddAbove", "IsUpperSet.not_top_mem", "IsUpperSet.null_frontier", "IsUpperSet.ordConnected", "IsUpperSet.preimage", "IsUpperSet.prod", "IsUpperSet.sdiff", "IsUpperSet.sdiff_of_isLowerSet", "IsUpperSet.smul", "IsUpperSet.thickening'", "IsUpperSet.top_mem", "IsUpperSet.total", "IsUpperSet.union", "IsUpperSet.upperBounds_subset", "IsWellFounded.apply", "IsWellFounded.fix_eq", "IsWellFounded.induction", "IsWellOrderLimitElement.bot_lt", "IsWellOrderLimitElement.neq_bot", "IsWellOrderLimitElement.neq_succ", "IsWellOrderLimitElement.wellOrderSucc_lt", "Isometry.affineIsometryOfStrictConvexSpace_apply", "Isometry.antilipschitz", "Isometry.coe_affineIsometryOfStrictConvexSpace", "Isometry.comp", "Isometry.comp_continuousOn_iff", "Isometry.completion_map", "Isometry.continuous", "Isometry.diam_image", "Isometry.diam_range", "Isometry.dimH_image", "Isometry.ediam_image", "Isometry.ediam_range", "Isometry.edist_eq", "Isometry.hausdorffMeasure_image", "Isometry.hausdorffMeasure_preimage", "Isometry.injective", "Isometry.lipschitz", "Isometry.lipschitzWith_iff", "Isometry.map_hausdorffMeasure", "Isometry.mapsTo_emetric_ball", "Isometry.mapsTo_emetric_closedBall", "Isometry.mapsTo_perpBisector", "Isometry.mapsTo_sphere", "Isometry.nnnorm_map_of_map_one", "Isometry.preimage_closedBall", "Isometry.preimage_emetric_ball", "Isometry.preimage_setOf_dist", "Isometry.prod_map", "Isometry.right_inv", "Isometry.tendsto_nhds_iff", "Isometry.toDilation_ratio", "Isometry.uniformContinuous", "Isometry.uniformEmbedding", "Isometry.uniformInducing", "IsometryEquiv.coeFn_toRealAffineIsometryEquiv", "IsometryEquiv.coe_eq_toEquiv", "IsometryEquiv.coe_toEquiv", "IsometryEquiv.coe_toHomeomorph", "IsometryEquiv.coe_toRealAffineIsometryEquiv", "IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero", "IsometryEquiv.comp_continuousOn_iff", "IsometryEquiv.comp_continuous_iff", "IsometryEquiv.completeSpace", "IsometryEquiv.completeSpace_iff", "IsometryEquiv.constSMul_symm", "IsometryEquiv.continuous", "IsometryEquiv.diam_image", "IsometryEquiv.diam_preimage", "IsometryEquiv.diam_univ", "IsometryEquiv.dimH_univ", "IsometryEquiv.dist_eq", "IsometryEquiv.divRight_symm", "IsometryEquiv.ediam_preimage", "IsometryEquiv.ediam_univ", "IsometryEquiv.edist_eq", "IsometryEquiv.eq_symm_apply", "IsometryEquiv.ext", "IsometryEquiv.hausdorffMeasure_image", "IsometryEquiv.hausdorffMeasure_preimage", "IsometryEquiv.image_ball", "IsometryEquiv.image_closedBall", "IsometryEquiv.image_emetric_ball", "IsometryEquiv.image_sphere", "IsometryEquiv.image_symm", "IsometryEquiv.inv_symm", "IsometryEquiv.isometry", "IsometryEquiv.map_hausdorffMeasure", "IsometryEquiv.map_midpoint", "IsometryEquiv.midpoint_fixed", "IsometryEquiv.mul_apply", "IsometryEquiv.nndist_eq", "IsometryEquiv.preimage_ball", "IsometryEquiv.preimage_emetric_closedBall", "IsometryEquiv.preimage_sphere", "IsometryEquiv.range_eq_univ", "IsometryEquiv.self_comp_symm", "IsometryEquiv.symm_apply_apply", "IsometryEquiv.symm_bijective", "IsometryEquiv.symm_comp_self", "IsometryEquiv.symm_symm", "IsometryEquiv.symm_trans_apply", "IsometryEquiv.toDilationEquiv_apply", "IsometryEquiv.toDilationEquiv_ratio", "IsometryEquiv.toDilationEquiv_symm", "IsometryEquiv.toDilationEquiv_toDilation", "IsometryEquiv.toEquiv_injective", "IsometryEquiv.toRealLinearIsometryEquiv_symm_apply", "IsometryEquiv.trans_apply", "Joined.refl", "Joined.symm", "Joined.trans", "JoinedIn.joined", "JoinedIn.mono", "JoinedIn.ofLine", "JoinedIn.of_segment_subset", "JoinedIn.somePath_mem", "JoinedIn.source_mem", "JoinedIn.symm", "JoinedIn.target_mem", "JoinedIn.trans", "JordanHolderLattice.IsMaximal.iso_refl", "JordanHolderLattice.isMaximal_inf_right_of_isMaximal_sup", "JordanHolderLattice.second_iso_of_eq", "JordanHolderModule.iso_symm", "JordanHolderModule.second_iso", "KaehlerDifferential.DLinearMap_apply", "KaehlerDifferential.D_tensorProductTo", "KaehlerDifferential.End_equiv_aux", "KaehlerDifferential.derivationQuotKerTotal_apply", "KaehlerDifferential.derivationQuotKerTotal_lift_comp_total", "KaehlerDifferential.exact_kerCotangentToTensor_mapBaseChange", "KaehlerDifferential.kerCotangentToTensor_toCotangent", "KaehlerDifferential.kerTotal_eq", "KaehlerDifferential.kerTotal_map", "KaehlerDifferential.kerTotal_map'", "KaehlerDifferential.kerTotal_mkQ_single_add", "KaehlerDifferential.kerTotal_mkQ_single_algebraMap", "KaehlerDifferential.kerTotal_mkQ_single_algebraMap_one", "KaehlerDifferential.kerTotal_mkQ_single_mul", "KaehlerDifferential.kerTotal_mkQ_single_smul", "KaehlerDifferential.ker_map", "KaehlerDifferential.ker_map_of_surjective", "KaehlerDifferential.mapBaseChange_surjective", "KaehlerDifferential.mapBaseChange_tmul", "KaehlerDifferential.map_D", "KaehlerDifferential.map_surjective", "KaehlerDifferential.map_surjective_of_surjective", "KaehlerDifferential.mvPolynomialBasis_apply", "KaehlerDifferential.mvPolynomialBasis_repr_D", "KaehlerDifferential.mvPolynomialBasis_repr_D_X", "KaehlerDifferential.mvPolynomialBasis_repr_apply", "KaehlerDifferential.mvPolynomialBasis_repr_comp_D", "KaehlerDifferential.mvPolynomialBasis_repr_symm_single", "KaehlerDifferential.one_smul_sub_smul_one_mem_ideal", "KaehlerDifferential.polynomialEquiv_D", "KaehlerDifferential.polynomialEquiv_comp_D", "KaehlerDifferential.polynomialEquiv_symm", "KaehlerDifferential.polynomial_D_apply", "KaehlerDifferential.quotKerTotalEquiv_symm_comp_D", "KaehlerDifferential.range_kerCotangentToTensor", "KaehlerDifferential.range_mapBaseChange", "KaehlerDifferential.span_range_derivation", "KaehlerDifferential.span_range_eq_ideal", "KaehlerDifferential.submodule_span_range_eq_ideal", "KaehlerDifferential.subsingleton_of_surjective", "KaehlerDifferential.tensorProductTo_surjective", "KaehlerDifferential.total_surjective", "KummerDedekind.Ideal.irreducible_map_of_irreducible_minpoly", "KummerDedekind.multiplicity_factors_map_eq_multiplicity", "KummerDedekind.normalizedFactors_ideal_map_eq_normalizedFactors_min_poly_mk_map", "KuratowskiEmbedding.embeddingOfSubset_coe", "KuratowskiEmbedding.embeddingOfSubset_dist_le", "KuratowskiEmbedding.embeddingOfSubset_isometry", "KuratowskiEmbedding.exists_isometric_embedding", "LDL.diag_eq_lowerInv_conj", "LDL.lowerInv_eq_gramSchmidtBasis", "LDL.lowerInv_orthogonal", "LDL.lowerInv_triangular", "LDL.lower_conj_diag", "LE.le.codisjoint_hnot_left", "LE.le.disjoint_compl_left", "LE.le.disjoint_compl_right", "LE.le.ge", "LE.le.gt_iff_ne", "LE.le.le_iff_eq", "LE.le.le_or_le", "LE.le.le_or_lt", "LE.le.lt_iff_ne", "LE.le.not_gt_iff_eq", "LSeries.LSeriesSummable_logMul_and_hasDerivAt", "LSeries.abscissaOfAbsConv_congr'", "LSeries.abscissaOfAbsConv_le_of_forall_lt_LSeriesSummable", "LSeries.abscissaOfAbsConv_le_of_forall_lt_LSeriesSummable'", "LSeries.abscissaOfAbsConv_le_of_isBigO_rpow", "LSeries.abscissaOfAbsConv_le_of_le_const", "LSeries.abscissaOfAbsConv_le_of_le_const_mul_rpow", "LSeries.abscissaOfAbsConv_le_one_of_isBigO_one", "LSeries.abscissaOfAbsConv_logMul", "LSeries.absicssaOfAbsConv_logPowMul", "LSeries.convolution_congr", "LSeries.convolution_def", "LSeries.convolution_map_zero", "LSeries.convolution_one_eq_convolution_zeta", "LSeries.delta_mul", "LSeries.hasDerivAt_term", "LSeries.mul_delta", "LSeries.mul_delta_eq_smul_delta", "LSeries.norm_term_eq", "LSeries.norm_term_le", "LSeries.norm_term_le_of_re_le_re", "LSeries.one_convolution_eq_zeta_convolution", "LSeries.term_add", "LSeries.term_add_apply", "LSeries.term_congr", "LSeries.term_convolution", "LSeries.term_convolution'", "LSeries.term_def", "LSeries.term_delta", "LSeries.term_neg", "LSeries.term_neg_apply", "LSeries.term_of_ne_zero", "LSeries.term_smul", "LSeries.term_smul_apply", "LSeries.term_sub", "LSeries.term_sub_apply", "LSeries.term_zero", "LSeriesHasSum.LSeriesSummable", "LSeriesHasSum.LSeries_eq", "LSeriesHasSum.add", "LSeriesHasSum.convolution", "LSeriesHasSum.neg", "LSeriesHasSum.smul", "LSeriesHasSum.sub", "LSeriesHasSum_congr", "LSeriesSummable.LSeriesHasSum", "LSeriesSummable.abscissaOfAbsConv_le", "LSeriesSummable.add", "LSeriesSummable.congr'", "LSeriesSummable.convolution", "LSeriesSummable.isBigO_rpow", "LSeriesSummable.le_const_mul_rpow", "LSeriesSummable.neg", "LSeriesSummable.neg_iff", "LSeriesSummable.of_re_le_re", "LSeriesSummable.of_smul", "LSeriesSummable.smul", "LSeriesSummable.sub", "LSeriesSummable_congr", "LSeriesSummable_congr'", "LSeriesSummable_iff_of_re_eq_re", "LSeriesSummable_logMul_of_lt_re", "LSeriesSummable_lt_re_of_abscissaOfAbsConv_lt_re", "LSeriesSummable_of_abscissaOfAbsConv_lt_re", "LSeriesSummable_of_bounded_of_one_lt_re", "LSeriesSummable_of_bounded_of_one_lt_real", "LSeriesSummable_of_isBigO_rpow", "LSeriesSummable_of_le_const_mul_rpow", "LSeriesSummable_zero", "LSeries_add", "LSeries_analyticOn", "LSeries_congr", "LSeries_convolution", "LSeries_convolution'", "LSeries_delta", "LSeries_deriv", "LSeries_deriv_eqOn", "LSeries_differentiableOn", "LSeries_iteratedDeriv", "LSeries_neg", "LSeries_one_mul_Lseries_moebius", "LSeries_smul", "LSeries_sub", "LSeries_zero", "LT.lt.cmp_eq_gt", "LT.lt.exists_disjoint_Iio_Ioi", "LT.lt.false", "LT.lt.gt", "LT.lt.lt_or_lt", "LT.lt.ne'", "LTSeries.nonempty_of_infiniteDimensionalType", "LTSeries.strictMono", "L_apply", "L_mul", "Lagrange.basisDivisor_add_symm", "Lagrange.basisDivisor_eq_zero_iff", "Lagrange.basisDivisor_inj", "Lagrange.basisDivisor_ne_zero_iff", "Lagrange.basisDivisor_self", "Lagrange.basis_empty", "Lagrange.basis_eq_prod_sub_inv_mul_nodal_div", "Lagrange.basis_ne_zero", "Lagrange.basis_pair_left", "Lagrange.basis_pair_right", "Lagrange.basis_singleton", "Lagrange.degree_basis", "Lagrange.degree_basisDivisor_of_ne", "Lagrange.degree_interpolate_erase_lt", "Lagrange.degree_interpolate_le", "Lagrange.degree_interpolate_lt", "Lagrange.degree_nodal", "Lagrange.derivative_nodal", "Lagrange.eq_interpolate_iff", "Lagrange.eq_interpolate_of_eval_eq", "Lagrange.eval_basisDivisor_left_of_ne", "Lagrange.eval_basisDivisor_right", "Lagrange.eval_basis_not_at_node", "Lagrange.eval_basis_of_ne", "Lagrange.eval_basis_self", "Lagrange.eval_interpolate_at_node", "Lagrange.eval_interpolate_not_at_node", "Lagrange.eval_interpolate_not_at_node'", "Lagrange.eval_nodal", "Lagrange.eval_nodal_at_node", "Lagrange.eval_nodal_derivative_eval_node_eq", "Lagrange.eval_nodal_not_at_node", "Lagrange.interpolate_empty", "Lagrange.interpolate_eq_add_interpolate_erase", "Lagrange.interpolate_eq_iff_values_eq_on", "Lagrange.interpolate_eq_nodalWeight_mul_nodal_div_X_sub_C", "Lagrange.interpolate_eq_sum_interpolate_insert_sdiff", "Lagrange.interpolate_one", "Lagrange.interpolate_singleton", "Lagrange.natDegree_basis", "Lagrange.natDegree_basisDivisor_self", "Lagrange.natDegree_nodal", "Lagrange.nodalWeight_eq_eval_nodal_derative", "Lagrange.nodalWeight_eq_eval_nodal_erase_inv", "Lagrange.nodalWeight_ne_zero", "Lagrange.nodal_eq_mul_nodal_erase", "Lagrange.nodal_erase_eq_nodal_div", "Lagrange.nodal_insert_eq_nodal", "Lagrange.nodal_ne_zero", "Lagrange.nodal_subgroup_eq_X_pow_card_sub_one", "Lagrange.sum_basis", "Lagrange.sum_nodalWeight_mul_inv_sub_ne_zero", "Lagrange.values_eq_on_of_interpolate_eq", "Language.IsContextFree.reverse", "Language.append_mem_mul", "Language.ext", "Language.iSup_mul", "Language.kstar_def_nonempty", "Language.kstar_eq_iSup_pow", "Language.le_add_congr", "Language.le_mul_congr", "Language.map_id", "Language.map_kstar", "Language.mem_iSup", "Language.mem_kstar", "Language.mem_kstar_iff_exists_nonempty", "Language.mem_mul", "Language.mem_one", "Language.mem_pow", "Language.mem_reverse", "Language.mul_def", "Language.mul_iSup", "Language.mul_self_kstar_comm", "Language.not_mem_zero", "Language.one_add_self_mul_kstar_eq_kstar", "Language.reverse_add", "Language.reverse_iSup", "Language.reverse_injective", "Language.reverse_kstar", "Language.reverse_mem_reverse", "Language.reverse_mul", "Language.reverse_pow", "Language.reverse_reverse", "Language.reverse_zero", "Language.zero_def", "Lat.coe_of", "Lattice.ext", "LatticeHom.birkhoffFinset_injective", "LatticeHom.cancel_left", "LatticeHom.cancel_right", "LatticeHom.coe_comp_inf_hom", "LatticeHom.coe_comp_sup_hom", "LatticeHom.coe_comp_sup_hom'", "LatticeHom.coe_copy", "LatticeHom.coe_fst", "LatticeHom.coe_id", "LatticeHom.coe_mk", "LatticeHom.coe_toInfHom", "LatticeHom.coe_withBot", "LatticeHom.coe_withTop", "LatticeHom.dual_id", "LatticeHom.ext", "LatticeHom.id_comp", "LatticeHom.snd_apply", "LatticeHom.withBot_id", "LatticeHom.withTopWithBot_apply", "LatticeHom.withTopWithBot_comp", "LatticeHom.withTopWithBot_id", "LatticeHom.withTop_apply", "LatticeHom.withTop_comp", "LatticeHom.withTop_id", "LatticeOrderedAddCommGroup.solidClosure_min", "LaurentPolynomial.C_eq_algebraMap", "LaurentPolynomial.T_add", "LaurentPolynomial.T_mul", "LaurentPolynomial.T_pow", "LaurentPolynomial.T_sub", "LaurentPolynomial.T_zero", "LaurentPolynomial.algebraMap_apply", "LaurentPolynomial.algebraMap_eq_toLaurent", "LaurentPolynomial.commute_T", "LaurentPolynomial.degree_C", "LaurentPolynomial.degree_C_ite", "LaurentPolynomial.degree_C_le", "LaurentPolynomial.degree_C_mul_T", "LaurentPolynomial.degree_C_mul_T_ite", "LaurentPolynomial.degree_C_mul_T_le", "LaurentPolynomial.degree_T", "LaurentPolynomial.degree_T_le", "LaurentPolynomial.degree_eq_bot_iff", "LaurentPolynomial.degree_zero", "LaurentPolynomial.exists_T_pow", "LaurentPolynomial.induction_on", "LaurentPolynomial.induction_on'", "LaurentPolynomial.induction_on_mul_T", "LaurentPolynomial.invOf_T", "LaurentPolynomial.invert_T", "LaurentPolynomial.invert_apply", "LaurentPolynomial.invert_symm", "LaurentPolynomial.isLocalization", "LaurentPolynomial.isUnit_T", "LaurentPolynomial.leftInverse_trunc_toLaurent", "LaurentPolynomial.mul_T_assoc", "LaurentPolynomial.reduce_to_polynomial_of_mul_T", "LaurentPolynomial.single_eq_C_mul_T", "LaurentPolynomial.support_C_mul_T", "LaurentPolynomial.support_C_mul_T_of_ne_zero", "LaurentPolynomial.toLaurent_reverse", "LaurentPolynomial.toLaurent_support", "LaurentPolynomial.trunc_C_mul_T", "LaurentSeries.coe_algebraMap", "LaurentSeries.coeff_coe_powerSeries", "LaurentSeries.hasseDeriv_coeff", "LaurentSeries.ofPowerSeries_powerSeriesPart", "LaurentSeries.powerSeriesPart_eq_zero", "LaurentSeries.powerSeriesPart_zero", "LaurentSeries.single_order_mul_powerSeriesPart", "LawfulFix.fix_eq'", "LazyList.append_assoc", "LazyList.append_bind", "LazyList.append_nil", "LazyList.forall_mem_cons", "LazyList.mem_cons", "LazyList.mem_nil", "Lean.Elab.Command.$n_def", "Lean.Meta.FastSubsingleton.elim", "Left.inv_le_one_iff", "Left.inv_lt_one_iff", "Left.inv_lt_self", "Left.lt_mul_of_lt_of_one_le_of_nonneg", "Left.min_le_max_of_mul_le_mul", "Left.mul_le_one", "Left.mul_le_one_of_le_of_le", "Left.mul_lt_mul", "Left.mul_lt_of_lt_of_le_one_of_nonneg", "Left.mul_lt_one", "Left.mul_lt_one_of_le_of_lt", "Left.mul_lt_one_of_lt_of_le", "Left.mul_nonneg", "Left.mul_pos", "Left.neg_of_mul_neg_left", "Left.one_le_inv_iff", "Left.one_le_mul_of_le_of_le", "Left.one_le_pow_of_le", "Left.one_lt_inv_iff", "Left.one_lt_mul", "Left.one_lt_mul'", "Left.one_lt_mul_of_le_of_lt", "Left.one_lt_mul_of_le_of_lt_of_pos", "Left.one_lt_mul_of_lt_of_le", "Left.pow_le_one_of_le", "Left.pow_lt_one_iff", "Left.pow_lt_one_of_lt", "Left.self_lt_inv", "Left.sign_neg", "LeftCancelMonoid.toMonoid_injective", "LeftInvariantDerivation.coe_derivation", "LeftInvariantDerivation.coe_neg", "LeftInvariantDerivation.coe_sub", "LeftInvariantDerivation.coe_zero", "LeftInvariantDerivation.commutator_apply", "LeftInvariantDerivation.commutator_coe_derivation", "LeftInvariantDerivation.comp_L", "LeftInvariantDerivation.evalAt_apply", "LeftInvariantDerivation.evalAt_coe", "LeftInvariantDerivation.evalAt_mul", "LeftInvariantDerivation.ext", "LeftInvariantDerivation.left_invariant", "LeftInvariantDerivation.left_invariant'", "LeftInvariantDerivation.leibniz", "LeftInvariantDerivation.map_add", "LeftInvariantDerivation.map_smul", "LeftInvariantDerivation.map_sub", "LeftInvariantDerivation.map_zero", "LeftInvariantDerivation.toDerivation_injective", "LeftInvariantDerivation.toFun_eq_coe", "LeftOrdContinuous.coe_toOrderEmbedding", "LeftOrdContinuous.id", "LeftOrdContinuous.le_iff", "LeftOrdContinuous.lt_iff", "LeftOrdContinuous.map_ciSup", "LeftOrdContinuous.map_csSup", "LeftOrdContinuous.map_iSup", "LeftOrdContinuous.map_isGreatest", "LeftOrdContinuous.map_sSup", "LeftOrdContinuous.map_sSup'", "LeftOrdContinuous.order_dual", "Levenshtein.impl_cons", "Levenshtein.impl_cons_fst_zero", "Levenshtein.impl_length", "Lex.exists", "Lex.forall", "LieAlgebra.ExtendScalars.bracket_def", "LieAlgebra.ExtendScalars.bracket_leibniz_lie", "LieAlgebra.ExtendScalars.bracket_lie_self", "LieAlgebra.HasTrivialRadical.center_eq_bot", "LieAlgebra.HasTrivialRadical.eq_bot_of_isSolvable", "LieAlgebra.InvariantForm.atomistic", "LieAlgebra.InvariantForm.isSemisimple_of_nondegenerate", "LieAlgebra.InvariantForm.mem_orthogonal", "LieAlgebra.InvariantForm.orthogonal_disjoint", "LieAlgebra.InvariantForm.orthogonal_isCompl", "LieAlgebra.InvariantForm.orthogonal_isCompl_coe_submodule", "LieAlgebra.InvariantForm.restrict_nondegenerate", "LieAlgebra.InvariantForm.restrict_orthogonal_nondegenerate", "LieAlgebra.IsKilling.apply_coroot_eq_cast", "LieAlgebra.IsKilling.apply_coroot_eq_cast'", "LieAlgebra.IsKilling.cartanEquivDual_symm_apply_mem_corootSpace", "LieAlgebra.IsKilling.chainBotCoeff_add_chainTopCoeff", "LieAlgebra.IsKilling.chainBotCoeff_of_eq_zsmul_add", "LieAlgebra.IsKilling.chainBotCoeff_zero_right", "LieAlgebra.IsKilling.chainLength_aux", "LieAlgebra.IsKilling.chainLength_neg", "LieAlgebra.IsKilling.chainLength_nsmul", "LieAlgebra.IsKilling.chainLength_of_eq_zsmul_add", "LieAlgebra.IsKilling.chainLength_of_isZero", "LieAlgebra.IsKilling.chainLength_smul", "LieAlgebra.IsKilling.chainLength_zero_right", "LieAlgebra.IsKilling.chainTopCoeff_add_chainBotCoeff", "LieAlgebra.IsKilling.chainTopCoeff_le_chainLength", "LieAlgebra.IsKilling.chainTopCoeff_of_eq_zsmul_add", "LieAlgebra.IsKilling.chainTopCoeff_zero_right", "LieAlgebra.IsKilling.coe_corootSpace_eq_span_singleton", "LieAlgebra.IsKilling.coe_corootSpace_eq_span_singleton'", "LieAlgebra.IsKilling.corootSpace_eq_bot_iff", "LieAlgebra.IsKilling.corootSpace_zero_eq_bot", "LieAlgebra.IsKilling.coroot_eq_iff", "LieAlgebra.IsKilling.coroot_eq_zero_iff", "LieAlgebra.IsKilling.coroot_neg", "LieAlgebra.IsKilling.coroot_zero", "LieAlgebra.IsKilling.disjoint_ker_weight_corootSpace", "LieAlgebra.IsKilling.eq_neg_one_or_eq_zero_or_eq_one_of_eq_smul", "LieAlgebra.IsKilling.eq_neg_or_eq_of_eq_smul", "LieAlgebra.IsKilling.eq_zero_of_apply_eq_zero_of_mem_corootSpace", "LieAlgebra.IsKilling.eq_zero_of_isNilpotent_ad_of_mem_isCartanSubalgebra", "LieAlgebra.IsKilling.exists_isSl2Triple_of_weight_isNonZero", "LieAlgebra.IsKilling.finrank_rootSpace_eq_one", "LieAlgebra.IsKilling.iInf_ker_weight_eq_bot", "LieAlgebra.IsKilling.ideal_eq_bot_of_isLieAbelian", "LieAlgebra.IsKilling.isCompl_ker_weight_span_coroot", "LieAlgebra.IsKilling.isCrystallographic_rootSystem", "LieAlgebra.IsKilling.isReduced_rootSystem", "LieAlgebra.IsKilling.isSemisimple_ad_of_mem_isCartanSubalgebra", "LieAlgebra.IsKilling.ker_killingForm_eq_bot", "LieAlgebra.IsKilling.ker_restrict_eq_bot_of_isCartanSubalgebra", "LieAlgebra.IsKilling.le_chainBotCoeff_of_rootSpace_ne_top", "LieAlgebra.IsKilling.lie_eq_killingForm_smul_of_mem_rootSpace_of_mem_rootSpace_neg", "LieAlgebra.IsKilling.lie_eq_killingForm_smul_of_mem_rootSpace_of_mem_rootSpace_neg_aux", "LieAlgebra.IsKilling.lie_eq_smul_of_mem_rootSpace", "LieAlgebra.IsKilling.orthogonal_span_coroot_eq_ker", "LieAlgebra.IsKilling.reflectRoot_isNonZero", "LieAlgebra.IsKilling.rootSpace_neg_nsmul_add_chainTop_of_le", "LieAlgebra.IsKilling.rootSpace_neg_nsmul_add_chainTop_of_lt", "LieAlgebra.IsKilling.rootSpace_one_div_two_smul", "LieAlgebra.IsKilling.rootSpace_two_smul", "LieAlgebra.IsKilling.rootSpace_zsmul_add_ne_bot_iff", "LieAlgebra.IsKilling.rootSpace_zsmul_add_ne_bot_iff_mem", "LieAlgebra.IsKilling.rootSystem_pairing_apply", "LieAlgebra.IsKilling.rootSystem_root_apply", "LieAlgebra.IsKilling.rootSystem_toLin_apply", "LieAlgebra.IsKilling.root_apply_cartanEquivDual_symm_ne_zero", "LieAlgebra.IsKilling.root_apply_coroot", "LieAlgebra.IsKilling.span_weight_eq_top", "LieAlgebra.IsKilling.span_weight_isNonZero_eq_top", "LieAlgebra.IsKilling.traceForm_cartan_nondegenerate", "LieAlgebra.IsKilling.traceForm_coroot", "LieAlgebra.IsKilling.traceForm_eq_zero_of_mem_ker_of_mem_span_coroot", "LieAlgebra.IsSemisimple.booleanGenerators", "LieAlgebra.IsSemisimple.finitelyAtomistic", "LieAlgebra.IsSemisimple.isSimple_of_isAtom", "LieAlgebra.IsSimple.eq_top_of_isAtom", "LieAlgebra.IsSimple.isAtom_iff_eq_top", "LieAlgebra.IsSimple.isAtom_top", "LieAlgebra.Orthogonal.indefiniteDiagonal_assoc", "LieAlgebra.Orthogonal.indefiniteDiagonal_transform", "LieAlgebra.Orthogonal.jb_transform", "LieAlgebra.Orthogonal.jd_transform", "LieAlgebra.Orthogonal.mem_so", "LieAlgebra.Orthogonal.pb_inv", "LieAlgebra.Orthogonal.pd_inv", "LieAlgebra.Orthogonal.pso_inv", "LieAlgebra.Orthogonal.s_as_blocks", "LieAlgebra.Orthogonal.soIndefiniteEquiv_apply", "LieAlgebra.SpecialLinear.eb_val", "LieAlgebra.SpecialLinear.sl_bracket", "LieAlgebra.SpecialLinear.sl_non_abelian", "LieAlgebra.abelian_derivedAbelianOfIdeal", "LieAlgebra.abelian_iff_derived_one_eq_bot", "LieAlgebra.abelian_iff_derived_succ_eq_bot", "LieAlgebra.abelian_of_solvable_ideal_eq_bot_iff", "LieAlgebra.abelian_radical_iff_solvable_is_abelian", "LieAlgebra.abelian_radical_of_hasTrivialRadical", "LieAlgebra.ad_apply", "LieAlgebra.ad_ker_eq_bot_of_hasTrivialRadical", "LieAlgebra.ad_nilpotent_of_nilpotent", "LieAlgebra.ad_pow_lie", "LieAlgebra.center_le_radical", "LieAlgebra.coe_rootSpaceWeightSpaceProduct_tmul", "LieAlgebra.coe_zeroRootSubalgebra", "LieAlgebra.conj_ad_apply", "LieAlgebra.derivedLength_eq_derivedLengthOfIdeal", "LieAlgebra.derivedLength_zero", "LieAlgebra.derivedSeriesOfIdeal_add", "LieAlgebra.derivedSeriesOfIdeal_add_le_add", "LieAlgebra.derivedSeriesOfIdeal_le", "LieAlgebra.derivedSeriesOfIdeal_le_self", "LieAlgebra.derivedSeriesOfIdeal_mono", "LieAlgebra.derivedSeriesOfIdeal_succ", "LieAlgebra.derivedSeriesOfIdeal_succ_le", "LieAlgebra.derivedSeriesOfIdeal_zero", "LieAlgebra.derivedSeries_def", "LieAlgebra.derivedSeries_of_bot_eq_bot", "LieAlgebra.derivedSeries_of_derivedLength_succ", "LieAlgebra.engel_isBot_of_isMin", "LieAlgebra.engel_isBot_of_isMin.lieCharpoly_coeff_natDegree", "LieAlgebra.engel_isBot_of_isMin.lieCharpoly_map_eval", "LieAlgebra.engel_isBot_of_isMin.lieCharpoly_natDegree", "LieAlgebra.exists_engelian_lieSubalgebra_of_lt_normalizer", "LieAlgebra.exists_isCartanSubalgebra_engel", "LieAlgebra.exists_isCartanSubalgebra_engel_of_finrank_le_card", "LieAlgebra.exists_isRegular", "LieAlgebra.exists_isRegular_of_finrank_le_card", "LieAlgebra.finrank_engel", "LieAlgebra.hasTrivialRadical_iff_no_abelian_ideals", "LieAlgebra.hasTrivialRadical_iff_no_solvable_ideals", "LieAlgebra.hasTrivialRadical_of_no_solvable_ideals", "LieAlgebra.isEngelian_of_isNoetherian", "LieAlgebra.isEngelian_of_subsingleton", "LieAlgebra.isKilling_of_equiv", "LieAlgebra.isLieAbelian_iff_center_eq_top", "LieAlgebra.isNilpotent_iff_forall", "LieAlgebra.isNilpotent_range_ad_iff", "LieAlgebra.isRegular_iff_coeff_polyCharpoly_rank_ne_zero", "LieAlgebra.isRegular_iff_finrank_engel_eq_rank", "LieAlgebra.isRegular_iff_natTrailingDegree_charpoly_eq_rank", "LieAlgebra.is_cartan_of_zeroRootSubalgebra_eq", "LieAlgebra.killingForm_apply_eq_zero_of_mem_rootSpace_of_add_ne_zero", "LieAlgebra.killingForm_of_equiv_apply", "LieAlgebra.le_solvable_ideal_solvable", "LieAlgebra.le_zeroRootSubalgebra", "LieAlgebra.lieCharacter_apply_lie", "LieAlgebra.lieCharacter_apply_lie'", "LieAlgebra.lieCharacter_apply_of_mem_derived", "LieAlgebra.lie_mem_weightSpace_of_mem_weightSpace", "LieAlgebra.mapsTo_toEnd_weightSpace_add_of_mem_rootSpace", "LieAlgebra.mem_corootSpace", "LieAlgebra.mem_corootSpace'", "LieAlgebra.mem_ker_killingForm_of_mem_rootSpace_of_forall_rootSpace_neg", "LieAlgebra.mem_zeroRootSubalgebra", "LieAlgebra.nilpotent_ad_of_nilpotent_algebra", "LieAlgebra.nilpotent_of_nilpotent_quotient", "LieAlgebra.non_trivial_center_of_isNilpotent", "LieAlgebra.radical_eq_top_of_isSolvable", "LieAlgebra.rank_le_finrank", "LieAlgebra.rank_le_natTrailingDegree_charpoly_ad", "LieAlgebra.rootSpaceProduct_def", "LieAlgebra.rootSpaceProduct_tmul", "LieAlgebra.rootSpace_comap_eq_weightSpace", "LieAlgebra.rootSpace_zero_eq", "LieAlgebra.self_module_ker_eq_center", "LieAlgebra.solvable_iff_equiv_solvable", "LieAlgebra.subsingleton_of_hasTrivialRadical_lie_abelian", "LieAlgebra.toEnd_pow_apply_mem", "LieAlgebra.toLieSubmodule_le_rootSpace_zero", "LieAlgebra.zeroRootSubalgebra_eq_iff_is_cartan", "LieAlgebra.zeroRootSubalgebra_eq_of_is_cartan", "LieAlgebra.zeroRootSubalgebra_normalizer_eq_self", "LieAlgebra.zero_rootSpace_eq_top_of_nilpotent", "LieDerivation.IsKilling.ad_apply_eq_zero_iff", "LieDerivation.IsKilling.ad_mem_orthogonal_of_mem_orthogonal", "LieDerivation.IsKilling.exists_eq_ad", "LieDerivation.IsKilling.killingForm_restrict_range_ad", "LieDerivation.IsKilling.killingForm_restrict_range_ad_nondegenerate", "LieDerivation.IsKilling.range_ad_eq_top", "LieDerivation.ad_apply_lieDerivation", "LieDerivation.ad_isIdealMorphism", "LieDerivation.ad_ker_eq_center", "LieDerivation.add_apply", "LieDerivation.apply_lie_eq_add", "LieDerivation.apply_lie_eq_sub", "LieDerivation.coeFn_coe", "LieDerivation.coe_add", "LieDerivation.coe_add_linearMap", "LieDerivation.coe_injective", "LieDerivation.coe_neg", "LieDerivation.coe_smul_linearMap", "LieDerivation.coe_sub", "LieDerivation.coe_sub_linearMap", "LieDerivation.coe_zero", "LieDerivation.coe_zero_linearMap", "LieDerivation.commutator_apply", "LieDerivation.eqOn_lieSpan", "LieDerivation.ext", "LieDerivation.ext_of_lieSpan_eq_top", "LieDerivation.leibniz_lie", "LieDerivation.lie_ad", "LieDerivation.lie_apply", "LieDerivation.lie_der_ad_eq_ad_der", "LieDerivation.map_neg", "LieDerivation.map_sub", "LieDerivation.maxTrivSubmodule_eq_bot_of_center_eq_bot", "LieDerivation.mk_coe", "LieDerivation.smul_apply", "LieDerivation.sub_apply", "LieDerivation.toFun_eq_coe", "LieDerivation.zero_apply", "LieEquiv.apply_symm_apply", "LieEquiv.bijective", "LieEquiv.coe_injective", "LieEquiv.coe_linearEquiv_injective", "LieEquiv.coe_to_lieHom", "LieEquiv.coe_to_linearEquiv", "LieEquiv.ext", "LieEquiv.isEngelian_iff", "LieEquiv.map_lie", "LieEquiv.nilpotent_iff_equiv_nilpotent", "LieEquiv.ofInjective_apply", "LieEquiv.one_apply", "LieEquiv.refl_symm", "LieEquiv.self_trans_symm", "LieEquiv.surjective", "LieEquiv.symm_bijective", "LieEquiv.symm_symm", "LieEquiv.symm_trans_self", "LieEquiv.to_linearEquiv_mk", "LieEquiv.trans_apply", "LieHom.IsIdealMorphism.eq", "LieHom.coe_comp", "LieHom.coe_id", "LieHom.coe_linearMap_comp", "LieHom.coe_one", "LieHom.coe_toLinearMap", "LieHom.comp_apply", "LieHom.comp_id", "LieHom.congr_fun", "LieHom.equivRangeOfInjective_apply", "LieHom.ext", "LieHom.ext_iff", "LieHom.id_apply", "LieHom.idealRange_eq_lieSpan_range", "LieHom.idealRange_eq_map", "LieHom.idealRange_eq_top_of_surjective", "LieHom.isIdealMorphism_def", "LieHom.isIdealMorphism_iff", "LieHom.isIdealMorphism_of_surjective", "LieHom.ker_coeSubmodule", "LieHom.ker_eq_bot", "LieHom.le_ker_iff", "LieHom.lie_apply", "LieHom.map_add", "LieHom.map_lie", "LieHom.map_neg", "LieHom.map_smul", "LieHom.map_zero", "LieHom.mem_idealRange", "LieHom.mem_idealRange_iff", "LieHom.mem_ker", "LieHom.mem_range", "LieHom.mem_range_self", "LieHom.mk_coe", "LieHom.one_apply", "LieHom.range_coe", "LieHom.range_coeSubmodule", "LieHom.range_eq_map", "LieHom.range_eq_top", "LieHom.surjective_rangeRestrict", "LieHom.toNonUnitalAlgHom_injective", "LieHom.zero_apply", "LieIdeal.bot_of_map_eq_bot", "LieIdeal.coe_inclusion", "LieIdeal.coe_killingCompl_top", "LieIdeal.coe_lcs_eq", "LieIdeal.coe_map_of_surjective", "LieIdeal.coe_toSubalgebra", "LieIdeal.coe_to_lieSubalgebra_to_submodule", "LieIdeal.comap_bracket_eq", "LieIdeal.comap_bracket_incl", "LieIdeal.comap_bracket_incl_of_le", "LieIdeal.comap_bracket_le", "LieIdeal.comap_coeSubmodule", "LieIdeal.comap_map_eq", "LieIdeal.comap_map_le", "LieIdeal.comap_mono", "LieIdeal.derivedSeries_add_eq_bot", "LieIdeal.derivedSeries_eq_bot_iff", "LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_comap", "LieIdeal.derivedSeries_eq_derivedSeriesOfIdeal_map", "LieIdeal.derivedSeries_map_eq", "LieIdeal.derivedSeries_map_le", "LieIdeal.gc_map_comap", "LieIdeal.idealizer_eq_normalizer", "LieIdeal.incl_apply", "LieIdeal.incl_coe", "LieIdeal.incl_idealRange", "LieIdeal.incl_range", "LieIdeal.inclusion_injective", "LieIdeal.killingForm_eq", "LieIdeal.lcs_succ", "LieIdeal.lcs_top", "LieIdeal.lcs_zero", "LieIdeal.le_killingCompl_top_of_isLieAbelian", "LieIdeal.lowerCentralSeries_map_eq", "LieIdeal.map_bracket_eq", "LieIdeal.map_bracket_le", "LieIdeal.map_coeSubmodule", "LieIdeal.map_comap_bracket_eq", "LieIdeal.map_comap_eq", "LieIdeal.map_comap_incl", "LieIdeal.map_comap_le", "LieIdeal.map_eq_bot_iff", "LieIdeal.map_le_iff_le_comap", "LieIdeal.map_lowerCentralSeries_le", "LieIdeal.map_mono", "LieIdeal.map_of_image", "LieIdeal.map_sup_ker_eq_map", "LieIdeal.map_sup_ker_eq_map'", "LieIdeal.mem_comap", "LieIdeal.mem_killingCompl", "LieIdeal.mem_map", "LieIdeal.mem_map_of_surjective", "LieIdeal.normalizer_eq_top", "LieIdeal.top_coe_lieSubalgebra", "LieModule.Weight.IsNonZero.neg", "LieModule.Weight.IsZero.eq", "LieModule.Weight.IsZero.neg", "LieModule.Weight.coe_coe", "LieModule.Weight.coe_eq_zero_iff", "LieModule.Weight.coe_neg", "LieModule.Weight.coe_toLinear_ne_zero_iff", "LieModule.Weight.coe_weight_mk", "LieModule.Weight.coe_zero", "LieModule.Weight.exists_ne_zero", "LieModule.Weight.ext", "LieModule.Weight.ext_iff", "LieModule.Weight.hasEigenvalueAt", "LieModule.Weight.isNonZero_neg", "LieModule.Weight.isZero_iff_eq_zero", "LieModule.Weight.isZero_neg", "LieModule.Weight.isZero_zero", "LieModule.Weight.weightSpaceOf_ne_bot", "LieModule.Weight.weightSpace_ne_bot", "LieModule.Weight.zero_apply", "LieModule.antitone_lowerCentralSeries", "LieModule.chainBotCoeff_neg", "LieModule.chainBot_zero", "LieModule.chainTopCoeff_add_one", "LieModule.chainTopCoeff_zero", "LieModule.chainTop_isNonZero", "LieModule.chainTop_isNonZero'", "LieModule.chainTop_neg", "LieModule.coe_chainBot", "LieModule.coe_chainTop", "LieModule.coe_chainTop'", "LieModule.coe_lcs_range_toEnd_eq", "LieModule.coe_linearMap_maxTrivLinearMapEquivLieModuleHom_symm", "LieModule.coe_lowerCentralSeries_ideal_le", "LieModule.coe_maxTrivHom_apply", "LieModule.coe_maxTrivLinearMapEquivLieModuleHom_symm", "LieModule.coe_weightSpaceOf_zero", "LieModule.coe_weightSpace_of_top", "LieModule.comap_weightSpace_eq_of_injective", "LieModule.commute_toEnd_of_mem_center_left", "LieModule.commute_toEnd_of_mem_center_right", "LieModule.compLieHom", "LieModule.derivedSeries_le_lowerCentralSeries", "LieModule.disjoint_lowerCentralSeries_maxTrivSubmodule_iff", "LieModule.disjoint_weightSpace", "LieModule.disjoint_weightSpaceOf", "LieModule.eq_zero_of_mem_weightSpace_mem_posFitting", "LieModule.eventually_iInf_lowerCentralSeries_eq", "LieModule.eventually_weightSpace_smul_add_eq_bot", "LieModule.exists_forall_lie_eq_smul", "LieModule.exists_forall_mem_corootSpace_smul_add_eq_zero", "LieModule.exists_forall_pow_toEnd_eq_zero", "LieModule.exists_isRegular", "LieModule.exists_isRegular_of_finrank_le_card", "LieModule.exists_weightSpace_le_ker_of_isNoetherian", "LieModule.exists_weightSpace_smul_add_eq_bot", "LieModule.exists_weightSpace_zero_le_ker_of_isNoetherian", "LieModule.exists\u2082_weightSpace_smul_add_eq_bot", "LieModule.finite_weightSpaceOf_ne_bot", "LieModule.finite_weightSpace_ne_bot", "LieModule.iInf_lcs_le_of_isNilpotent_quot", "LieModule.iInf_lowerCentralSeries_eq_bot_of_isNilpotent", "LieModule.iInf_lowerCentralSeries_eq_posFittingComp", "LieModule.iSup_ucs_eq_weightSpace_zero", "LieModule.iSup_ucs_le_weightSpace_zero", "LieModule.iSup_weightSpaceOf_eq_top", "LieModule.iSup_weightSpace_eq_top", "LieModule.iSup_weightSpace_eq_top'", "LieModule.ideal_oper_maxTrivSubmodule_eq_bot", "LieModule.independent_weightSpace", "LieModule.independent_weightSpace'", "LieModule.independent_weightSpaceOf", "LieModule.isCompl_weightSpaceOf_zero_posFittingCompOf", "LieModule.isCompl_weightSpace_zero_posFittingComp", "LieModule.isCompl_weightSpace_zero_posFittingComp_aux", "LieModule.isLieAbelian_of_ker_traceForm_eq_bot", "LieModule.isNilpotent_iff", "LieModule.isNilpotent_iff_exists_ucs_eq_top", "LieModule.isNilpotent_iff_forall", "LieModule.isNilpotent_iff_forall'", "LieModule.isNilpotent_of_top_iff'", "LieModule.isNilpotent_quotient_iff", "LieModule.isNilpotent_range_toEnd_iff", "LieModule.isNilpotent_toEnd_of_isNilpotent", "LieModule.isNilpotent_toEnd_of_isNilpotent\u2082", "LieModule.isNilpotent_toEnd_sub_algebraMap", "LieModule.isNilpotent_toEnd_weightSpace_zero", "LieModule.isRegular_iff_coeff_polyCharpoly_rank_ne_zero", "LieModule.isRegular_iff_natTrailingDegree_charpoly_eq_rank", "LieModule.isTrivial_iff_max_triv_eq_top", "LieModule.isTrivial_of_nilpotencyLength_le_one", "LieModule.iterate_toEnd_mem_lowerCentralSeries", "LieModule.iterate_toEnd_mem_lowerCentralSeries\u2082", "LieModule.le_max_triv_iff_bracket_eq_bot", "LieModule.lie_mem_maxGenEigenspace_toEnd", "LieModule.lie_mem_weightSpaceChain_of_weightSpace_eq_bot_left", "LieModule.lie_mem_weightSpaceChain_of_weightSpace_eq_bot_right", "LieModule.lie_traceForm_eq_zero", "LieModule.lowerCentralSeriesLast_le_max_triv", "LieModule.lowerCentralSeriesLast_le_of_not_isTrivial", "LieModule.lowerCentralSeries_one_inf_center_le_ker_traceForm", "LieModule.lowerCentralSeries_succ", "LieModule.lowerCentralSeries_zero", "LieModule.map_lowerCentralSeries_eq", "LieModule.map_lowerCentralSeries_le", "LieModule.map_posFittingComp_eq", "LieModule.map_posFittingComp_le", "LieModule.map_weightSpace_eq", "LieModule.map_weightSpace_eq_of_injective", "LieModule.map_weightSpace_le", "LieModule.maxGenEigenSpace_toEnd_eq_top", "LieModule.maxTrivEquiv_of_equiv_symm_eq_symm", "LieModule.maxTrivEquiv_of_refl_eq_refl", "LieModule.mem_ker", "LieModule.mem_maxTrivSubmodule", "LieModule.mem_posFittingComp", "LieModule.mem_posFittingCompOf", "LieModule.mem_weightSpace", "LieModule.mem_weightSpaceOf", "LieModule.nilpotencyLength_eq_one_iff", "LieModule.nilpotencyLength_eq_succ_iff", "LieModule.nilpotencyLength_eq_zero_iff", "LieModule.nilpotentOfNilpotentQuotient", "LieModule.nontrivial_lowerCentralSeriesLast", "LieModule.nontrivial_of_isIrreducible", "LieModule.ofAssociativeModule", "LieModule.polyCharpoly_coeff_rank_ne_zero", "LieModule.posFittingCompOf_eq_bot_of_isNilpotent", "LieModule.posFittingCompOf_le_lowerCentralSeries", "LieModule.posFittingCompOf_le_posFittingComp", "LieModule.posFittingComp_eq_bot_of_isNilpotent", "LieModule.posFittingComp_le_iInf_lowerCentralSeries", "LieModule.posFittingComp_map_incl_sup_of_codisjoint", "LieModule.range_traceForm_le_span_weight", "LieModule.rank_eq_natTrailingDegree", "LieModule.rank_le_card", "LieModule.rank_le_finrank", "LieModule.rank_le_natTrailingDegree_charpoly_ad", "LieModule.shiftedWeightSpace.aux", "LieModule.shiftedWeightSpace.coe_lie_shiftedWeightSpace_apply", "LieModule.shiftedWeightSpace.toEnd_eq", "LieModule.toEnd_baseChange", "LieModule.toEnd_lie", "LieModule.toEnd_module_end", "LieModule.toEnd_pow_apply_map", "LieModule.toEnd_pow_comp_lieHom", "LieModule.toEnd_pow_lie", "LieModule.toModuleHom_apply", "LieModule.traceForm_apply_apply", "LieModule.traceForm_apply_eq_zero_of_mem_lcs_of_mem_center", "LieModule.traceForm_apply_lie_apply", "LieModule.traceForm_apply_lie_apply'", "LieModule.traceForm_comm", "LieModule.traceForm_eq_sum_finrank_nsmul", "LieModule.traceForm_eq_sum_finrank_nsmul_mul", "LieModule.traceForm_eq_sum_weightSpaceOf", "LieModule.traceForm_eq_zero_if_mem_lcs_of_mem_ucs", "LieModule.traceForm_eq_zero_of_isNilpotent", "LieModule.traceForm_eq_zero_of_isTrivial", "LieModule.traceForm_flip", "LieModule.traceForm_isSymm", "LieModule.traceForm_lieInvariant", "LieModule.traceForm_weightSpace_eq", "LieModule.trace_comp_toEnd_weightSpace_eq", "LieModule.trace_toEnd_eq_zero_of_mem_lcs", "LieModule.trace_toEnd_weightSpace", "LieModule.trace_toEnd_weightSpaceChain_eq_zero", "LieModule.trivial_iff_lower_central_eq_bot", "LieModule.weightSpaceChain_def", "LieModule.weightSpaceChain_def'", "LieModule.weightSpaceChain_neg", "LieModule.weightSpace_add_chainTop", "LieModule.weightSpace_chainBotCoeff_sub_one_zsmul_sub", "LieModule.weightSpace_chainTopCoeff_add_one_nsmul_add", "LieModule.weightSpace_chainTopCoeff_add_one_zsmul_add", "LieModule.weightSpace_le_weightSpaceChain", "LieModule.weightSpace_le_weightSpaceOf", "LieModule.weightSpace_neg_add_chainBot", "LieModule.weightSpace_nsmul_add_ne_bot_of_le", "LieModule.weightSpace_weightSpaceOf_map_incl", "LieModule.weightSpace_zero_normalizer_eq_self", "LieModule.weightSpace_zsmul_add_ne_bot", "LieModule.weight_vector_multiplication", "LieModule.zero_lt_finrank_weightSpace", "LieModule.zero_weightSpace_eq_top_of_nilpotent", "LieModule.zero_weightSpace_eq_top_of_nilpotent'", "LieModuleEquiv.coe_mk", "LieModuleEquiv.coe_to_lieModuleHom", "LieModuleEquiv.coe_to_linearEquiv", "LieModuleEquiv.ext", "LieModuleEquiv.injective", "LieModuleEquiv.ofTop_apply", "LieModuleEquiv.range_coe", "LieModuleEquiv.refl_apply", "LieModuleEquiv.self_trans_symm", "LieModuleEquiv.surjective", "LieModuleEquiv.symm_apply_apply", "LieModuleEquiv.symm_bijective", "LieModuleEquiv.symm_symm", "LieModuleEquiv.toEquiv_injective", "LieModuleEquiv.toEquiv_mk", "LieModuleEquiv.trans_apply", "LieModuleHom.coeSubmodule_range", "LieModuleHom.coe_add", "LieModuleHom.coe_injective", "LieModuleHom.coe_linearMap_comp", "LieModuleHom.coe_linear_mk", "LieModuleHom.coe_mk", "LieModuleHom.coe_nsmul", "LieModuleHom.coe_range", "LieModuleHom.coe_restrictLie", "LieModuleHom.coe_smul", "LieModuleHom.coe_toLinearMap", "LieModuleHom.coe_zero", "LieModuleHom.coe_zsmul", "LieModuleHom.comp_ker_incl", "LieModuleHom.ext", "LieModuleHom.ext_iff", "LieModuleHom.ker_coeSubmodule", "LieModuleHom.ker_eq_bot", "LieModuleHom.ker_id", "LieModuleHom.le_ker_iff_map", "LieModuleHom.map_add", "LieModuleHom.map_lie\u2082", "LieModuleHom.map_neg", "LieModuleHom.map_top", "LieModuleHom.map_zero", "LieModuleHom.mk_coe", "LieModuleHom.neg_apply", "LieModuleHom.nsmul_apply", "LieModuleHom.range_eq_top", "LieModuleHom.smul_apply", "LieModuleHom.zero_apply", "LieModuleHom.zsmul_apply", "LieRing.lie_apply", "LieRingModule.compLieHom_apply", "LieSubalgebra.ad_comp_incl_eq", "LieSubalgebra.add_eq_sup", "LieSubalgebra.add_mem", "LieSubalgebra.bot_coe_submodule", "LieSubalgebra.coe_ad", "LieSubalgebra.coe_ad_pow", "LieSubalgebra.coe_bracket", "LieSubalgebra.coe_incl", "LieSubalgebra.coe_incl'", "LieSubalgebra.coe_inclusion", "LieSubalgebra.coe_injective", "LieSubalgebra.coe_lieSpan_submodule_eq_iff", "LieSubalgebra.coe_normalizer_eq_normalizer", "LieSubalgebra.coe_ofLe", "LieSubalgebra.coe_set_eq", "LieSubalgebra.coe_submodule_le_coe_submodule", "LieSubalgebra.coe_to_submodule", "LieSubalgebra.coe_to_submodule_eq_iff", "LieSubalgebra.engel_zero", "LieSubalgebra.eq_bot_iff", "LieSubalgebra.equivOfLe_apply", "LieSubalgebra.exists_lieIdeal_coe_eq_iff", "LieSubalgebra.exists_nested_lieIdeal_coe_eq_iff", "LieSubalgebra.exists_nested_lieIdeal_ofLe_normalizer", "LieSubalgebra.ext", "LieSubalgebra.ext_iff", "LieSubalgebra.ext_iff'", "LieSubalgebra.gc_map_comap", "LieSubalgebra.ideal_in_normalizer", "LieSubalgebra.incl_range", "LieSubalgebra.inclusion_apply", "LieSubalgebra.inclusion_injective", "LieSubalgebra.isCartanSubalgebra_iff_isUcsLimit", "LieSubalgebra.isNilpotent_ad_of_isNilpotent_ad", "LieSubalgebra.isNilpotent_of_forall_le_engel", "LieSubalgebra.le_normalizer", "LieSubalgebra.lieSpan_eq", "LieSubalgebra.lieSpan_induction", "LieSubalgebra.lieSpan_le", "LieSubalgebra.lieSpan_mono", "LieSubalgebra.lie_mem", "LieSubalgebra.lie_mem_sup_of_mem_normalizer", "LieSubalgebra.map_le_iff_le_comap", "LieSubalgebra.mem_bot", "LieSubalgebra.mem_carrier", "LieSubalgebra.mem_coe_submodule", "LieSubalgebra.mem_engel_iff", "LieSubalgebra.mem_inf", "LieSubalgebra.mem_lieSpan", "LieSubalgebra.mem_map", "LieSubalgebra.mem_mk_iff", "LieSubalgebra.mem_normalizer_iff", "LieSubalgebra.mem_normalizer_iff'", "LieSubalgebra.mem_ofLe", "LieSubalgebra.mk_coe", "LieSubalgebra.ne_bot_of_isCartanSubalgebra", "LieSubalgebra.normalizer_engel", "LieSubalgebra.normalizer_eq_self_iff", "LieSubalgebra.normalizer_eq_self_of_engel_le", "LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebra", "LieSubalgebra.ofLe_eq_comap_incl", "LieSubalgebra.sInf_coe", "LieSubalgebra.sInf_coe_to_submodule", "LieSubalgebra.sInf_glb", "LieSubalgebra.self_mem_engel", "LieSubalgebra.smul_mem", "LieSubalgebra.span_empty", "LieSubalgebra.span_union", "LieSubalgebra.span_univ", "LieSubalgebra.submodule_span_le_lieSpan", "LieSubalgebra.subset_lieSpan", "LieSubalgebra.subsingleton_bot", "LieSubalgebra.toEnd_eq", "LieSubalgebra.to_submodule_injective", "LieSubalgebra.top_coe_submodule", "LieSubalgebra.ucs_eq_self_of_isCartanSubalgebra", "LieSubmodule.Quotient.map_mk'_eq_bot_le", "LieSubmodule.Quotient.mk'_ker", "LieSubmodule.Quotient.mk_bracket", "LieSubmodule.Quotient.mk_eq_zero", "LieSubmodule.Quotient.mk_eq_zero'", "LieSubmodule.Quotient.range_mk'", "LieSubmodule.Quotient.surjective_mk'", "LieSubmodule.Quotient.toEnd_comp_mk'", "LieSubmodule.add_eq_sup", "LieSubmodule.baseChange_bot", "LieSubmodule.baseChange_top", "LieSubmodule.bot_coe", "LieSubmodule.bot_coeSubmodule", "LieSubmodule.bot_lie", "LieSubmodule.codisjoint_iff_coe_toSubmodule", "LieSubmodule.coeSubmodule_comap", "LieSubmodule.coeSubmodule_eq_bot_iff", "LieSubmodule.coeSubmodule_eq_top_iff", "LieSubmodule.coeSubmodule_le_coeSubmodule", "LieSubmodule.coeSubmodule_map", "LieSubmodule.coe_baseChange", "LieSubmodule.coe_inclusion", "LieSubmodule.coe_injective", "LieSubmodule.coe_lieSpan_submodule_eq_iff", "LieSubmodule.coe_map", "LieSubmodule.coe_smul", "LieSubmodule.coe_sub", "LieSubmodule.coe_toEnd_pow", "LieSubmodule.coe_toSet_mk", "LieSubmodule.coe_toSubmodule", "LieSubmodule.coe_toSubmodule_eq_iff", "LieSubmodule.coe_toSubmodule_mk", "LieSubmodule.comap_bracket_eq", "LieSubmodule.comap_incl_eq_bot", "LieSubmodule.comap_incl_eq_top", "LieSubmodule.comap_inf", "LieSubmodule.comap_map_eq", "LieSubmodule.comap_normalizer", "LieSubmodule.copy_eq", "LieSubmodule.disjoint_iff_coe_toSubmodule", "LieSubmodule.eq_bot_iff", "LieSubmodule.exists_smul_add_of_span_sup_eq_top", "LieSubmodule.ext", "LieSubmodule.gc_lcs_ucs", "LieSubmodule.gc_map_comap", "LieSubmodule.gc_top_lie_normalizer", "LieSubmodule.iInf_coe", "LieSubmodule.iInf_coe_toSubmodule", "LieSubmodule.iSup_coe_toSubmodule", "LieSubmodule.iSup_eq_top_iff_coe_toSubmodule", "LieSubmodule.iSup_induction", "LieSubmodule.iSup_induction'", "LieSubmodule.incl_apply", "LieSubmodule.incl_coe", "LieSubmodule.incl_eq_val", "LieSubmodule.inclusion_apply", "LieSubmodule.inclusion_injective", "LieSubmodule.independent_iff_coe_toSubmodule", "LieSubmodule.inf_coe_toSubmodule", "LieSubmodule.inf_lie", "LieSubmodule.injective_incl", "LieSubmodule.isCompactElement_lieSpan_singleton", "LieSubmodule.isCompl_iff_coe_toSubmodule", "LieSubmodule.isNilpotentOfIsNilpotentSpanSupEqTop", "LieSubmodule.isNilpotent_iff_exists_lcs_eq_bot", "LieSubmodule.isNilpotent_iff_exists_self_le_ucs", "LieSubmodule.ker_incl", "LieSubmodule.lcs_add_le_iff", "LieSubmodule.lcs_le_iff", "LieSubmodule.lcs_le_lcs_of_is_nilpotent_span_sup_eq_top", "LieSubmodule.lcs_le_self", "LieSubmodule.lcs_succ", "LieSubmodule.lcs_sup", "LieSubmodule.lcs_zero", "LieSubmodule.le_comap_map", "LieSubmodule.le_normalizer", "LieSubmodule.lieIdeal_oper_eq_linear_span", "LieSubmodule.lieIdeal_oper_eq_linear_span'", "LieSubmodule.lieIdeal_oper_eq_span", "LieSubmodule.lieIdeal_oper_eq_tensor_map_range", "LieSubmodule.lieSpan_eq", "LieSubmodule.lieSpan_eq_bot_iff", "LieSubmodule.lieSpan_le", "LieSubmodule.lieSpan_mono", "LieSubmodule.lie_abelian_iff_lie_self_eq_bot", "LieSubmodule.lie_baseChange", "LieSubmodule.lie_bot", "LieSubmodule.lie_coe_mem_lie", "LieSubmodule.lie_comm", "LieSubmodule.lie_eq_bot_iff", "LieSubmodule.lie_inf", "LieSubmodule.lie_le_iff", "LieSubmodule.lie_le_inf", "LieSubmodule.lie_le_left", "LieSubmodule.lie_le_right", "LieSubmodule.lie_mem_lie", "LieSubmodule.lie_sup", "LieSubmodule.lie_top_eq_of_span_sup_eq_top", "LieSubmodule.lowerCentralSeries_eq_lcs_comap", "LieSubmodule.lowerCentralSeries_map_eq_lcs", "LieSubmodule.lowerCentralSeries_tensor_eq_baseChange", "LieSubmodule.map_bot", "LieSubmodule.map_bracket_eq", "LieSubmodule.map_comap_eq", "LieSubmodule.map_comap_incl", "LieSubmodule.map_comap_le", "LieSubmodule.map_comp", "LieSubmodule.map_iSup", "LieSubmodule.map_id", "LieSubmodule.map_incl_le", "LieSubmodule.map_incl_lt_iff_lt_top", "LieSubmodule.map_incl_top", "LieSubmodule.map_inf_le", "LieSubmodule.map_injective_of_injective", "LieSubmodule.map_le_map_iff", "LieSubmodule.map_le_range", "LieSubmodule.map_mono", "LieSubmodule.mapsTo_pow_toEnd_sub_algebraMap", "LieSubmodule.mem_baseChange_iff", "LieSubmodule.mem_bot", "LieSubmodule.mem_carrier", "LieSubmodule.mem_coe", "LieSubmodule.mem_coeSubmodule", "LieSubmodule.mem_comap", "LieSubmodule.mem_iInf", "LieSubmodule.mem_iSup_of_mem", "LieSubmodule.mem_idealizer", "LieSubmodule.mem_inf", "LieSubmodule.mem_lieSpan", "LieSubmodule.mem_map_of_mem", "LieSubmodule.mem_mk_iff", "LieSubmodule.mem_normalizer", "LieSubmodule.mem_sup", "LieSubmodule.mem_top", "LieSubmodule.mk_eq_bot_iff", "LieSubmodule.mk_eq_top_iff", "LieSubmodule.mk_eq_zero", "LieSubmodule.mono_lie", "LieSubmodule.mono_lie_right", "LieSubmodule.monotone_normalizer", "LieSubmodule.nontrivial_iff", "LieSubmodule.nontrivial_iff_ne_bot", "LieSubmodule.normalizer_bot_eq_maxTrivSubmodule", "LieSubmodule.normalizer_inf", "LieSubmodule.normalizer_mono", "LieSubmodule.range_incl", "LieSubmodule.sInf_coe", "LieSubmodule.sInf_coe_toSubmodule", "LieSubmodule.sInf_coe_toSubmodule'", "LieSubmodule.sSup_coe_toSubmodule", "LieSubmodule.sSup_coe_toSubmodule'", "LieSubmodule.sSup_image_lieSpan_singleton", "LieSubmodule.span_empty", "LieSubmodule.span_iUnion", "LieSubmodule.span_univ", "LieSubmodule.submodule_span_le_lieSpan", "LieSubmodule.subset_lieSpan", "LieSubmodule.subsingleton_iff", "LieSubmodule.sup_coe_toSubmodule", "LieSubmodule.sup_lie", "LieSubmodule.tmul_mem_baseChange_of_mem", "LieSubmodule.toEnd_comp_subtype_mem", "LieSubmodule.toEnd_restrict_eq_toEnd", "LieSubmodule.top_coe", "LieSubmodule.top_coeSubmodule", "LieSubmodule.top_lie_le_iff_le_normalizer", "LieSubmodule.trivial_lie_oper_zero", "LieSubmodule.ucs_add", "LieSubmodule.ucs_bot_one", "LieSubmodule.ucs_comap_incl", "LieSubmodule.ucs_eq_self_of_normalizer_eq_self", "LieSubmodule.ucs_eq_top_iff", "LieSubmodule.ucs_mono", "LieSubmodule.ucs_succ", "LieSubmodule.ucs_zero", "LieSubmodule.wellFounded_of_isArtinian", "LieSubmodule.wellFounded_of_noetherian", "LightCondensed.equalizerCondition", "LightProfinite.Sigma.\u03b9_comp_toFiniteCoproduct", "LightProfinite.coe_comp", "LightProfinite.effectiveEpi_iff_surjective", "LightProfinite.epi_iff_surjective", "LightProfinite.finiteCoproduct.\u03b9_desc", "LightProfinite.finiteCoproduct.\u03b9_desc_apply", "LightProfinite.finiteCoproduct.\u03b9_injective", "LightProfinite.finiteCoproduct.\u03b9_jointly_surjective", "LightProfinite.isClosedMap", "LightProfinite.mono_iff_injective", "LightProfinite.pullback.condition", "LightProfinite.pullback.hom_ext", "LightProfinite.pullback.lift_fst", "LightProfinite.pullback.lift_snd", "LightProfinite.pullback_fst_eq", "LightProfinite.pullback_snd_eq", "LinOrd.coe_of", "Linarith.eq_of_eq_of_eq", "Linarith.le_of_eq_of_le", "Linarith.le_of_le_of_eq", "Linarith.lt_of_eq_of_lt", "Linarith.lt_of_lt_of_eq", "Linarith.mul_eq", "Linarith.mul_zero_eq", "Linarith.without_one_mul", "Linarith.zero_mul_eq", "LindelofSpace.elim_nhds_subcover", "LindelofSpace.of_continuous_surjective", "LineDifferentiableAt.congr_of_eventuallyEq", "LineDifferentiableAt.hasLineDerivAt", "LineDifferentiableAt.lineDifferentiableWithinAt", "LineDifferentiableAt.of_comp", "LineDifferentiableAt.smul", "LineDifferentiableWithinAt.congr", "LineDifferentiableWithinAt.lineDifferentiableAt", "LineDifferentiableWithinAt.mono", "LinearEquiv.AssociatedPrimes.eq", "LinearEquiv.annihilator_eq", "LinearEquiv.apply_symm_apply", "LinearEquiv.arrowCongr_apply", "LinearEquiv.arrowCongr_comp", "LinearEquiv.arrowCongr_symm_apply", "LinearEquiv.arrowCongr_trans", "LinearEquiv.bijective", "LinearEquiv.charpoly_conj", "LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous", "LinearEquiv.coeFn_toContinuousLinearEquivOfContinuous_symm", "LinearEquiv.coe_coe", "LinearEquiv.coe_curry", "LinearEquiv.coe_det", "LinearEquiv.coe_injective", "LinearEquiv.coe_isometryOfOrthonormal", "LinearEquiv.coe_lTensor", "LinearEquiv.coe_lTensor_symm", "LinearEquiv.coe_mk", "LinearEquiv.coe_neg", "LinearEquiv.coe_ofEq_apply", "LinearEquiv.coe_ofInvolutive", "LinearEquiv.coe_ofIsUnitDet", "LinearEquiv.coe_pow", "LinearEquiv.coe_prod", "LinearEquiv.coe_rTensor", "LinearEquiv.coe_rTensor_symm", "LinearEquiv.coe_symm_mk", "LinearEquiv.coe_toAffineEquiv", "LinearEquiv.coe_toContinuousLinearEquiv", "LinearEquiv.coe_toContinuousLinearEquiv'", "LinearEquiv.coe_toContinuousLinearEquiv_symm", "LinearEquiv.coe_toContinuousLinearEquiv_symm'", "LinearEquiv.coe_toLinearMap_one", "LinearEquiv.coe_zero", "LinearEquiv.comp_coe", "LinearEquiv.congr_arg", "LinearEquiv.congr_fun", "LinearEquiv.congr_trans_rTensor", "LinearEquiv.conj_apply", "LinearEquiv.conj_apply_apply", "LinearEquiv.conj_comp", "LinearEquiv.conj_exact_iff_exact", "LinearEquiv.conj_id", "LinearEquiv.conj_trans", "LinearEquiv.continuous_symm", "LinearEquiv.coord_apply_smul", "LinearEquiv.coord_self", "LinearEquiv.det_coe_symm", "LinearEquiv.det_conj", "LinearEquiv.det_mul_det_symm", "LinearEquiv.det_refl", "LinearEquiv.det_symm", "LinearEquiv.det_symm_mul_det", "LinearEquiv.det_trans", "LinearEquiv.dualMap_refl", "LinearEquiv.dualMap_trans", "LinearEquiv.eq_bot_of_equiv", "LinearEquiv.eq_comp_symm", "LinearEquiv.eq_comp_toLinearMap_symm", "LinearEquiv.ext", "LinearEquiv.ext_iff", "LinearEquiv.finrank_eq", "LinearEquiv.finrank_map_eq", "LinearEquiv.flip_flip", "LinearEquiv.fst_comp_prodComm", "LinearEquiv.funCongrLeft_apply", "LinearEquiv.funCongrLeft_comp", "LinearEquiv.funCongrLeft_id", "LinearEquiv.injective", "LinearEquiv.invFun_eq_symm", "LinearEquiv.isAssociatedPrime_iff", "LinearEquiv.isOfFinOrder_of_finite_of_span_eq_top_of_mapsTo", "LinearEquiv.isSMulRegular_congr", "LinearEquiv.isSMulRegular_congr'", "LinearEquiv.isUnit_det", "LinearEquiv.isWeaklyRegular_congr", "LinearEquiv.isWeaklyRegular_congr'", "LinearEquiv.isometryOfOrthonormal_toLinearEquiv", "LinearEquiv.ker", "LinearEquiv.lTensor_mul", "LinearEquiv.lTensor_refl_apply", "LinearEquiv.lTensor_symm_tmul", "LinearEquiv.lTensor_trans", "LinearEquiv.lTensor_trans_apply", "LinearEquiv.lTensor_trans_rTensor", "LinearEquiv.lTensor_zpow", "LinearEquiv.lieConj_apply", "LinearEquiv.lieConj_symm", "LinearEquiv.lift_rank_eq", "LinearEquiv.mapMatrix_symm", "LinearEquiv.mapMatrix_trans", "LinearEquiv.map_add", "LinearEquiv.map_dfinsupp_sumAddHom", "LinearEquiv.map_eq_comap", "LinearEquiv.map_eq_zero_iff", "LinearEquiv.map_ne_zero_iff", "LinearEquiv.map_smul", "LinearEquiv.map_smul\u209b\u2097", "LinearEquiv.map_zero", "LinearEquiv.mk_coe", "LinearEquiv.mk_coe'", "LinearEquiv.neg_apply", "LinearEquiv.nonempty_equiv_iff_lift_rank_eq", "LinearEquiv.nonempty_equiv_iff_rank_eq", "LinearEquiv.ofBijective_apply", "LinearEquiv.ofBijective_symm_apply_apply", "LinearEquiv.ofEq_symm", "LinearEquiv.ofInjectiveEndo_left_inv", "LinearEquiv.ofLinear_apply", "LinearEquiv.ofLinear_symm_apply", "LinearEquiv.ofLinear_symm_toLinearMap", "LinearEquiv.ofLinear_toLinearMap", "LinearEquiv.ofSubmodule'_apply", "LinearEquiv.ofSubmodule'_symm_apply", "LinearEquiv.ofSubmodules_apply", "LinearEquiv.ofSubsingleton_self", "LinearEquiv.ofTop_apply", "LinearEquiv.piCongrRight_apply", "LinearEquiv.piCongrRight_refl", "LinearEquiv.piCongrRight_symm", "LinearEquiv.piCongrRight_trans", "LinearEquiv.piCurry_apply", "LinearEquiv.piCurry_symm_apply", "LinearEquiv.piFinTwo_apply", "LinearEquiv.piRing_symm_apply", "LinearEquiv.pow_apply", "LinearEquiv.prodProdProdComm_symm", "LinearEquiv.prodProdProdComm_toAddEquiv", "LinearEquiv.prod_apply", "LinearEquiv.prod_symm", "LinearEquiv.rTensor_mul", "LinearEquiv.rTensor_pow", "LinearEquiv.rTensor_refl", "LinearEquiv.rTensor_refl_apply", "LinearEquiv.rTensor_tmul", "LinearEquiv.rTensor_trans", "LinearEquiv.rTensor_trans_congr", "LinearEquiv.rTensor_zpow", "LinearEquiv.range", "LinearEquiv.rank_eq", "LinearEquiv.refl_apply", "LinearEquiv.refl_toLinearMap", "LinearEquiv.self_trans_symm", "LinearEquiv.skewProd_apply", "LinearEquiv.smul_def", "LinearEquiv.snd_comp_prodComm", "LinearEquiv.submoduleMap_apply", "LinearEquiv.sumArrowLequivProdArrow_apply_snd", "LinearEquiv.sumArrowLequivProdArrow_symm_apply_inl", "LinearEquiv.sumArrowLequivProdArrow_symm_apply_inr", "LinearEquiv.surjective", "LinearEquiv.symm_apply_apply", "LinearEquiv.symm_apply_eq", "LinearEquiv.symm_bijective", "LinearEquiv.symm_comp_eq", "LinearEquiv.symm_conj_apply", "LinearEquiv.symm_flip", "LinearEquiv.symm_neg", "LinearEquiv.symm_symm", "LinearEquiv.symm_trans_apply", "LinearEquiv.symm_trans_self", "LinearEquiv.toAddEquiv_toIntLinearEquiv", "LinearEquiv.toAddEquiv_toNatLinearEquiv", "LinearEquiv.toAddMonoidHom_commutes", "LinearEquiv.toEquiv_inj", "LinearEquiv.toEquiv_injective", "LinearEquiv.toFun_eq_coe", "LinearEquiv.toLinearEquiv_toContinuousLinearEquiv", "LinearEquiv.toLinearEquiv_toContinuousLinearEquiv_symm", "LinearEquiv.toLinearMap_inj", "LinearEquiv.toLinearMap_injective", "LinearEquiv.toLinearMap_symm_comp_eq", "LinearEquiv.toSpanNonzeroSingleton_homothety", "LinearEquiv.trans_apply", "LinearEquiv.trans_dualMap_symm_flip", "LinearEquiv.trans_refl", "LinearEquiv.trans_symm", "LinearEquiv.uniformEmbedding", "LinearEquivClass.range", "LinearIndependent.aleph0_le_rank", "LinearIndependent.cardinal_le_rank'", "LinearIndependent.cardinal_lift_le_rank", "LinearIndependent.cardinal_mk_le_finrank", "LinearIndependent.comp", "LinearIndependent.disjoint_span_image", "LinearIndependent.eq_of_pair", "LinearIndependent.eq_of_smul_apply_eq_smul_apply", "LinearIndependent.eq_zero_of_pair", "LinearIndependent.eq_zero_of_pair'", "LinearIndependent.eventually", "LinearIndependent.fin_cons", "LinearIndependent.fin_cons'", "LinearIndependent.finite_of_isNoetherian", "LinearIndependent.finite_of_le_span_finite", "LinearIndependent.finrank_eq_zero_of_infinite", "LinearIndependent.finset_card_le_finrank", "LinearIndependent.fintype_card_le_finrank", "LinearIndependent.group_smul", "LinearIndependent.image", "LinearIndependent.image_of_comp", "LinearIndependent.image_subtype", "LinearIndependent.independent_span_singleton", "LinearIndependent.injective", "LinearIndependent.inl_union_inr", "LinearIndependent.insert", "LinearIndependent.linearIndependent_extend", "LinearIndependent.linear_combination_pair_of_det_ne_zero", "LinearIndependent.lt_aleph0_of_finite", "LinearIndependent.lt_aleph0_of_finiteDimensional", "LinearIndependent.map", "LinearIndependent.map'", "LinearIndependent.map_of_injective_injective", "LinearIndependent.map_of_isPurelyInseparable_of_separable", "LinearIndependent.map_of_surjective_injective", "LinearIndependent.map_pow_expChar_pow_of_fd_isSeparable", "LinearIndependent.map_pow_expChar_pow_of_isSeparable", "LinearIndependent.map_pow_expChar_pow_of_separable", "LinearIndependent.maximal_iff", "LinearIndependent.mono", "LinearIndependent.ne_zero", "LinearIndependent.not_mem_span_image", "LinearIndependent.of_comp", "LinearIndependent.of_isLocalizedModule", "LinearIndependent.option", "LinearIndependent.pair_iff", "LinearIndependent.pair_iff'", "LinearIndependent.repr_eq", "LinearIndependent.repr_eq_single", "LinearIndependent.repr_ker", "LinearIndependent.repr_range", "LinearIndependent.restrict_scalars", "LinearIndependent.setFinite", "LinearIndependent.set_finite_of_isNoetherian", "LinearIndependent.span_eq_top_of_card_eq_finrank'", "LinearIndependent.span_repr_eq", "LinearIndependent.subset_span_extend", "LinearIndependent.sum_elim_of_quotient", "LinearIndependent.sum_type", "LinearIndependent.to_subtype_range'", "LinearIndependent.total_ne_of_not_mem_support", "LinearIndependent.total_repr", "LinearIndependent.union", "LinearIndependent.union_of_quotient", "LinearIndependent.units_smul", "LinearIsometry.angle_map", "LinearIsometry.coe_id", "LinearIsometry.coe_injective", "LinearIsometry.coe_mul", "LinearIsometry.coe_one", "LinearIsometry.coe_pow", "LinearIsometry.coe_toAffineIsometry", "LinearIsometry.coe_toContinuousLinearMap", "LinearIsometry.coe_toLinearIsometryEquiv", "LinearIsometry.coe_toLinearMap", "LinearIsometry.coe_toSpanSingleton", "LinearIsometry.comp_assoc", "LinearIsometry.comp_id", "LinearIsometry.congr_arg", "LinearIsometry.congr_fun", "LinearIsometry.contDiff", "LinearIsometry.continuous", "LinearIsometry.diam_range", "LinearIsometry.dist_map", "LinearIsometry.ediam_range", "LinearIsometry.ext", "LinearIsometry.extend_apply", "LinearIsometry.id_apply", "LinearIsometry.id_comp", "LinearIsometry.id_toContinuousLinearMap", "LinearIsometry.im_apply_eq_im", "LinearIsometry.im_apply_eq_im_or_neg_of_re_apply_eq_re", "LinearIsometry.integral_comp_comm", "LinearIsometry.isComplete_image_iff'", "LinearIsometry.isComplete_map_iff", "LinearIsometry.isComplete_map_iff'", "LinearIsometry.isConformalMap", "LinearIsometry.map_add", "LinearIsometry.map_eq_iff", "LinearIsometry.map_ne", "LinearIsometry.map_neg", "LinearIsometry.map_orthogonalProjection", "LinearIsometry.map_orthogonalProjection'", "LinearIsometry.map_smul", "LinearIsometry.map_smul\u209b\u2097", "LinearIsometry.map_sub", "LinearIsometry.map_zero", "LinearIsometry.mul_def", "LinearIsometry.nnnorm_map", "LinearIsometry.norm_compContinuousMultilinearMap", "LinearIsometry.norm_iteratedFDerivWithin_comp_left", "LinearIsometry.norm_iteratedFDeriv_comp_left", "LinearIsometry.norm_map", "LinearIsometry.norm_toContinuousLinearMap", "LinearIsometry.norm_toContinuousLinearMap_comp", "LinearIsometry.norm_toContinuousLinearMap_le", "LinearIsometry.one_def", "LinearIsometry.orthonormal_comp_iff", "LinearIsometry.preimage_ball", "LinearIsometry.preimage_closedBall", "LinearIsometry.re_apply_eq_re", "LinearIsometry.re_apply_eq_re_of_add_conj_eq", "LinearIsometry.toContinuousLinearMap_inj", "LinearIsometry.toLinearIsometryEquiv_apply", "LinearIsometry.toLinearMap_inj", "LinearIsometry.toSpanSingleton_apply", "LinearIsometryEquiv.adjoint_eq_symm", "LinearIsometryEquiv.antilipschitz", "LinearIsometryEquiv.apply_symm_apply", "LinearIsometryEquiv.coe_coe", "LinearIsometryEquiv.coe_injective", "LinearIsometryEquiv.coe_inv", "LinearIsometryEquiv.coe_mk", "LinearIsometryEquiv.coe_neg", "LinearIsometryEquiv.coe_ofEq_apply", "LinearIsometryEquiv.coe_ofLinearIsometry_symm", "LinearIsometryEquiv.coe_ofSurjective", "LinearIsometryEquiv.coe_symm_trans", "LinearIsometryEquiv.coe_toAffineIsometryEquiv", "LinearIsometryEquiv.coe_toContinuousLinearEquiv", "LinearIsometryEquiv.coe_toLinearEquiv", "LinearIsometryEquiv.coe_toMeasureEquiv", "LinearIsometryEquiv.comp_continuousOn_iff", "LinearIsometryEquiv.comp_differentiableAt_iff", "LinearIsometryEquiv.comp_differentiableOn_iff", "LinearIsometryEquiv.comp_differentiableWithinAt_iff", "LinearIsometryEquiv.comp_differentiable_iff", "LinearIsometryEquiv.comp_fderivWithin", "LinearIsometryEquiv.comp_hasFDerivAt_iff'", "LinearIsometryEquiv.comp_hasFDerivWithinAt_iff", "LinearIsometryEquiv.comp_hasFDerivWithinAt_iff'", "LinearIsometryEquiv.comp_hasStrictFDerivAt_iff", "LinearIsometryEquiv.congr_fun", "LinearIsometryEquiv.contDiff", "LinearIsometryEquiv.continuousAt", "LinearIsometryEquiv.continuousOn", "LinearIsometryEquiv.continuousWithinAt", "LinearIsometryEquiv.differentiable", "LinearIsometryEquiv.differentiableAt", "LinearIsometryEquiv.differentiableOn", "LinearIsometryEquiv.edist_map", "LinearIsometryEquiv.ext", "LinearIsometryEquiv.fderiv", "LinearIsometryEquiv.hasFDerivWithinAt", "LinearIsometryEquiv.hasStrictFDerivAt", "LinearIsometryEquiv.image_ball", "LinearIsometryEquiv.image_closedBall", "LinearIsometryEquiv.image_sphere", "LinearIsometryEquiv.injective", "LinearIsometryEquiv.inner_map_eq_flip", "LinearIsometryEquiv.inner_map_map", "LinearIsometryEquiv.integrable_comp_iff", "LinearIsometryEquiv.lipschitz", "LinearIsometryEquiv.map_add", "LinearIsometryEquiv.map_eq_iff", "LinearIsometryEquiv.map_eq_zero_iff", "LinearIsometryEquiv.map_ne", "LinearIsometryEquiv.map_smul", "LinearIsometryEquiv.map_smul\u209b\u2097", "LinearIsometryEquiv.map_sub", "LinearIsometryEquiv.measurePreserving", "LinearIsometryEquiv.mul_def", "LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_left", "LinearIsometryEquiv.norm_iteratedFDerivWithin_comp_right", "LinearIsometryEquiv.norm_iteratedFDeriv_comp_left", "LinearIsometryEquiv.norm_iteratedFDeriv_comp_right", "LinearIsometryEquiv.norm_map", "LinearIsometryEquiv.ofEq_rfl", "LinearIsometryEquiv.piLpCongrLeft_single", "LinearIsometryEquiv.piLpCongrLeft_symm", "LinearIsometryEquiv.piLpCongrRight_apply", "LinearIsometryEquiv.piLpCongrRight_refl", "LinearIsometryEquiv.piLpCongrRight_single", "LinearIsometryEquiv.piLpCongrRight_symm", "LinearIsometryEquiv.piLpCurry_apply", "LinearIsometryEquiv.piLpCurry_symm_apply", "LinearIsometryEquiv.preimage_ball", "LinearIsometryEquiv.preimage_closedBall", "LinearIsometryEquiv.preimage_sphere", "LinearIsometryEquiv.range_eq_univ", "LinearIsometryEquiv.refl_mul", "LinearIsometryEquiv.reflections_generate", "LinearIsometryEquiv.reflections_generate_dim", "LinearIsometryEquiv.reflections_generate_dim_aux", "LinearIsometryEquiv.self_comp_symm", "LinearIsometryEquiv.self_trans_symm", "LinearIsometryEquiv.star_eq_symm", "LinearIsometryEquiv.surjective", "LinearIsometryEquiv.symm_apply_apply", "LinearIsometryEquiv.symm_neg", "LinearIsometryEquiv.symm_symm", "LinearIsometryEquiv.symm_trans", "LinearIsometryEquiv.symm_trans_self", "LinearIsometryEquiv.toAffineIsometryEquiv_toAffineEquiv", "LinearIsometryEquiv.toContinuousLinearEquiv_inj", "LinearIsometryEquiv.toHomeomorph_inj", "LinearIsometryEquiv.toHomeomorph_symm", "LinearIsometryEquiv.toIsometryEquiv_injective", "LinearIsometryEquiv.toLinearEquiv_inj", "LinearIsometryEquiv.toLinearEquiv_injective", "LinearIsometryEquiv.toLinearEquiv_symm", "LinearIsometryEquiv.toLinearEquiv_trans", "LinearIsometryEquiv.toLinearIsometry_inj", "LinearIsometryEquiv.toMeasureEquiv_symm", "LinearIsometryEquiv.trans_apply", "LinearIsometryEquiv.trans_assoc", "LinearIsometryEquiv.trans_one", "LinearIsometryEquiv.trans_refl", "LinearLocallyFiniteOrder.isGLB_Ioc_of_isGLB_Ioi", "LinearLocallyFiniteOrder.isMax_of_succFn_le", "LinearLocallyFiniteOrder.le_of_lt_succFn", "LinearLocallyFiniteOrder.le_succFn", "LinearLocallyFiniteOrder.succFn_le_of_lt", "LinearLocallyFiniteOrder.succFn_spec", "LinearMap.BilinForm.IsAdjointPair.add", "LinearMap.BilinForm.IsAdjointPair.comp", "LinearMap.BilinForm.IsAdjointPair.eq", "LinearMap.BilinForm.IsAdjointPair.sub", "LinearMap.BilinForm.IsAlt.add", "LinearMap.BilinForm.IsAlt.isRefl", "LinearMap.BilinForm.IsAlt.neg_eq", "LinearMap.BilinForm.IsAlt.self_eq_zero", "LinearMap.BilinForm.IsAlt.smul", "LinearMap.BilinForm.IsAlt.sub", "LinearMap.BilinForm.IsRefl.eq_zero", "LinearMap.BilinForm.IsRefl.groupSMul", "LinearMap.BilinForm.IsRefl.neg", "LinearMap.BilinForm.IsRefl.ortho_comm", "LinearMap.BilinForm.IsSymm.eq", "LinearMap.BilinForm.IsSymm.isRefl", "LinearMap.BilinForm.IsSymm.neg", "LinearMap.BilinForm.IsSymm.ortho_comm", "LinearMap.BilinForm.IsSymm.sub", "LinearMap.BilinForm.Nondegenerate.congr", "LinearMap.BilinForm.Nondegenerate.flip", "LinearMap.BilinForm.Nondegenerate.ker_eq_bot", "LinearMap.BilinForm.Nondegenerate.ne_zero", "LinearMap.BilinForm.Nondegenerate.toMatrix", "LinearMap.BilinForm.Nondegenerate.toMatrix'", "LinearMap.BilinForm.add_apply", "LinearMap.BilinForm.add_left", "LinearMap.BilinForm.add_right", "LinearMap.BilinForm.apply_dualBasis_left", "LinearMap.BilinForm.apply_toDual_symm_apply", "LinearMap.BilinForm.coe_injective", "LinearMap.BilinForm.coe_neg", "LinearMap.BilinForm.coe_zero", "LinearMap.BilinForm.compLeft_apply", "LinearMap.BilinForm.compLeft_id", "LinearMap.BilinForm.compLeft_injective", "LinearMap.BilinForm.compQuadraticForm_polarBilin", "LinearMap.BilinForm.compRight_apply", "LinearMap.BilinForm.compRight_compLeft", "LinearMap.BilinForm.compRight_id", "LinearMap.BilinForm.comp_apply", "LinearMap.BilinForm.comp_comp", "LinearMap.BilinForm.comp_id_id", "LinearMap.BilinForm.comp_id_left", "LinearMap.BilinForm.comp_id_right", "LinearMap.BilinForm.comp_symmCompOfNondegenerate_apply", "LinearMap.BilinForm.congr_comp", "LinearMap.BilinForm.congr_congr", "LinearMap.BilinForm.congr_fun", "LinearMap.BilinForm.congr_refl", "LinearMap.BilinForm.congr_symm", "LinearMap.BilinForm.congr_trans", "LinearMap.BilinForm.dualBasis_dualBasis", "LinearMap.BilinForm.dualBasis_dualBasis_flip", "LinearMap.BilinForm.dualBasis_flip_dualBasis", "LinearMap.BilinForm.dualBasis_repr_apply", "LinearMap.BilinForm.dualSubmoduleParing_spec", "LinearMap.BilinForm.dualSubmoduleToDual_injective", "LinearMap.BilinForm.dualSubmodule_dualSubmodule_flip_of_basis", "LinearMap.BilinForm.dualSubmodule_dualSubmodule_of_basis", "LinearMap.BilinForm.dualSubmodule_flip_dualSubmodule_of_basis", "LinearMap.BilinForm.dualSubmodule_span_of_basis", "LinearMap.BilinForm.eq_top_of_restrict_nondegenerate_of_orthogonal_eq_bot", "LinearMap.BilinForm.exists_orthogonal_basis", "LinearMap.BilinForm.ext", "LinearMap.BilinForm.ext_basis", "LinearMap.BilinForm.ext_iff", "LinearMap.BilinForm.finrank_add_finrank_orthogonal", "LinearMap.BilinForm.finrank_orthogonal", "LinearMap.BilinForm.flip_apply", "LinearMap.BilinForm.iIsOrtho.nondegenerate_iff_not_isOrtho_basis_self", "LinearMap.BilinForm.iIsOrtho.not_isOrtho_basis_self_of_nondegenerate", "LinearMap.BilinForm.iIsOrtho_def", "LinearMap.BilinForm.inf_orthogonal_self_le_ker_restrict", "LinearMap.BilinForm.isAdjointPair_id", "LinearMap.BilinForm.isAdjointPair_iff_eq_of_nondegenerate", "LinearMap.BilinForm.isAdjointPair_zero", "LinearMap.BilinForm.isAlt_neg", "LinearMap.BilinForm.isAlt_zero", "LinearMap.BilinForm.isCompl_orthogonal_iff_disjoint", "LinearMap.BilinForm.isCompl_orthogonal_of_restrict_nondegenerate", "LinearMap.BilinForm.isOrtho_def", "LinearMap.BilinForm.isOrtho_smul_left", "LinearMap.BilinForm.isOrtho_smul_right", "LinearMap.BilinForm.isPairSelfAdjoint_equiv", "LinearMap.BilinForm.isRefl_neg", "LinearMap.BilinForm.isRefl_zero", "LinearMap.BilinForm.isSkewAdjoint_bracket", "LinearMap.BilinForm.isSkewAdjoint_iff_neg_self_adjoint", "LinearMap.BilinForm.isSymm_iff_flip", "LinearMap.BilinForm.isSymm_neg", "LinearMap.BilinForm.isSymm_zero", "LinearMap.BilinForm.ker_restrict_eq_of_codisjoint", "LinearMap.BilinForm.le_flip_dualSubmodule", "LinearMap.BilinForm.lieInvariant_iff", "LinearMap.BilinForm.linMulLin_apply", "LinearMap.BilinForm.linMulLin_comp", "LinearMap.BilinForm.linMulLin_compLeft", "LinearMap.BilinForm.linMulLin_compRight", "LinearMap.BilinForm.linearIndependent_of_iIsOrtho", "LinearMap.BilinForm.mem_dualSubmodule", "LinearMap.BilinForm.mem_isPairSelfAdjointSubmodule", "LinearMap.BilinForm.mem_orthogonal_iff", "LinearMap.BilinForm.mem_skewAdjointSubmodule", "LinearMap.BilinForm.mul_toMatrix'_mul", "LinearMap.BilinForm.ne_zero_of_not_isOrtho_self", "LinearMap.BilinForm.neg_left", "LinearMap.BilinForm.neg_right", "LinearMap.BilinForm.nonDegenerateFlip_iff", "LinearMap.BilinForm.nondegenerate_congr_iff", "LinearMap.BilinForm.nondegenerate_iff_ker_eq_bot", "LinearMap.BilinForm.nondegenerate_restrict_of_disjoint_orthogonal", "LinearMap.BilinForm.nondegenerate_toBilin'_iff_det_ne_zero", "LinearMap.BilinForm.nondegenerate_toBilin'_of_det_ne_zero'", "LinearMap.BilinForm.nondegenerate_toMatrix'_iff", "LinearMap.BilinForm.nondegenerate_toMatrix_iff", "LinearMap.BilinForm.not_nondegenerate_zero", "LinearMap.BilinForm.orthogonal_eq_bot_iff", "LinearMap.BilinForm.orthogonal_le", "LinearMap.BilinForm.orthogonal_orthogonal", "LinearMap.BilinForm.orthogonal_span_singleton_eq_toLin_ker", "LinearMap.BilinForm.orthogonal_top", "LinearMap.BilinForm.polar_toQuadraticForm", "LinearMap.BilinForm.restrict_nondegenerate_orthogonal_spanSingleton", "LinearMap.BilinForm.smul_left", "LinearMap.BilinForm.smul_left_of_tower", "LinearMap.BilinForm.smul_right_of_tower", "LinearMap.BilinForm.span_singleton_inf_orthogonal_eq_bot", "LinearMap.BilinForm.span_singleton_sup_orthogonal_eq_top", "LinearMap.BilinForm.sub_left", "LinearMap.BilinForm.sum_apply", "LinearMap.BilinForm.sum_left", "LinearMap.BilinForm.sum_repr_mul_repr_mul", "LinearMap.BilinForm.sum_right", "LinearMap.BilinForm.symmCompOfNondegenerate_left_apply", "LinearMap.BilinForm.tensorDistribEquiv_tmul", "LinearMap.BilinForm.tensorDistribEquiv_toLinearMap", "LinearMap.BilinForm.tensorDistrib_tmul", "LinearMap.BilinForm.toDual_def", "LinearMap.BilinForm.toLin'Flip_apply", "LinearMap.BilinForm.toLin_restrict_ker_eq_inf_orthogonal", "LinearMap.BilinForm.toLin_restrict_range_dualCoannihilator_eq_orthogonal", "LinearMap.BilinForm.toMatrix'_apply", "LinearMap.BilinForm.toMatrix'_comp", "LinearMap.BilinForm.toMatrix'_mul", "LinearMap.BilinForm.toMatrixAux_apply", "LinearMap.BilinForm.toQuadraticForm_add", "LinearMap.BilinForm.toQuadraticForm_apply", "LinearMap.BilinForm.toQuadraticForm_comp_same", "LinearMap.BilinForm.toQuadraticForm_eq_zero", "LinearMap.BilinForm.toQuadraticForm_isOrtho", "LinearMap.BilinForm.toQuadraticForm_neg", "LinearMap.BilinForm.toQuadraticForm_smul", "LinearMap.BilinForm.toQuadraticForm_sub", "LinearMap.BilinForm.toQuadraticForm_zero", "LinearMap.BilinForm.zero_apply", "LinearMap.BilinForm.zero_left", "LinearMap.BilinForm.zero_right", "LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap", "LinearMap.IsAdjointPair.add", "LinearMap.IsAdjointPair.comp", "LinearMap.IsAdjointPair.mul", "LinearMap.IsAdjointPair.smul", "LinearMap.IsAdjointPair.sub", "LinearMap.IsAlt.isRefl", "LinearMap.IsAlt.neg", "LinearMap.IsAlt.ortho_comm", "LinearMap.IsAlt.self_eq_zero", "LinearMap.IsOrtho\u1d62.nondegenerate_of_not_isOrtho_basis_self", "LinearMap.IsOrtho\u1d62.not_isOrtho_basis_self_of_separatingLeft", "LinearMap.IsOrtho\u1d62.not_isOrtho_basis_self_of_separatingRight", "LinearMap.IsOrtho\u1d62.separatingLeft_of_not_isOrtho_basis_self", "LinearMap.IsOrtho\u1d62.separatingRight_iff_not_isOrtho_basis_self", "LinearMap.IsProj.codRestrict_apply_cod", "LinearMap.IsProj.eq_conj_prodMap", "LinearMap.IsProj.eq_conj_prod_map'", "LinearMap.IsProj.isCompl", "LinearMap.IsProj.trace", "LinearMap.IsRefl.domRestrict", "LinearMap.IsRefl.eq_zero", "LinearMap.IsRefl.flip_isRefl_iff", "LinearMap.IsRefl.ker_eq_bot_iff_ker_flip_eq_bot", "LinearMap.IsRefl.nondegenerate_of_separatingLeft", "LinearMap.IsRefl.nondegenerate_of_separatingRight", "LinearMap.IsRefl.ortho_comm", "LinearMap.IsSymm.domRestrict", "LinearMap.IsSymm.eq", "LinearMap.IsSymm.isRefl", "LinearMap.IsSymm.tmul", "LinearMap.IsSymmetric.add", "LinearMap.IsSymmetric.apply_clm", "LinearMap.IsSymmetric.coe_reApplyInnerSelf_apply", "LinearMap.IsSymmetric.conj_eigenvalue_eq_self", "LinearMap.IsSymmetric.conj_inner_sym", "LinearMap.IsSymmetric.continuous", "LinearMap.IsSymmetric.diagonalization_apply_self_apply", "LinearMap.IsSymmetric.diagonalization_symm_apply", "LinearMap.IsSymmetric.directSum_decompose_apply", "LinearMap.IsSymmetric.eigenvectorBasis_apply_self_apply", "LinearMap.IsSymmetric.hasEigenvalue_eigenvalues", "LinearMap.IsSymmetric.hasEigenvalue_iInf_of_finiteDimensional", "LinearMap.IsSymmetric.hasEigenvalue_iSup_of_finiteDimensional", "LinearMap.IsSymmetric.hasEigenvector_eigenvectorBasis", "LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf", "LinearMap.IsSymmetric.inner_map_polarization", "LinearMap.IsSymmetric.inner_map_self_eq_zero", "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace", "LinearMap.IsSymmetric.isSelfAdjoint", "LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces", "LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot", "LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_eq_bot'", "LinearMap.IsSymmetric.orthogonalComplement_iSup_eigenspaces_invariant", "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces", "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces'", "LinearMap.IsSymmetric.restrictScalars", "LinearMap.SeparatingLeft.congr", "LinearMap.SeparatingLeft.toMatrix\u2082", "LinearMap.SeparatingLeft.toMatrix\u2082'", "LinearMap.add_apply", "LinearMap.add_comp", "LinearMap.adjoint_adjoint", "LinearMap.adjoint_comp", "LinearMap.adjoint_eq_toCLM_adjoint", "LinearMap.adjoint_inner_left", "LinearMap.adjoint_inner_right", "LinearMap.aeval_eq_aeval_mod_charpoly", "LinearMap.aeval_self_charpoly", "LinearMap.annihilator_le_of_injective", "LinearMap.annihilator_le_of_surjective", "LinearMap.antilipschitz_of_comap_nhds_le", "LinearMap.apply_single", "LinearMap.associated_det_comp_equiv", "LinearMap.associated_det_of_eq_comp", "LinearMap.baseChange_add", "LinearMap.baseChange_comp", "LinearMap.baseChange_eq_ltensor", "LinearMap.baseChange_neg", "LinearMap.baseChange_one", "LinearMap.baseChange_pow", "LinearMap.baseChange_smul", "LinearMap.baseChange_sub", "LinearMap.baseChange_tmul", "LinearMap.baseChange_zero", "LinearMap.bijective_of_ne_zero", "LinearMap.bijective_or_eq_zero", "LinearMap.bot_lt_ker_of_det_eq_zero", "LinearMap.bound_of_ball_bound", "LinearMap.bound_of_ball_bound'", "LinearMap.bound_of_shell", "LinearMap.bound_of_sphere_bound", "LinearMap.cancel_right", "LinearMap.charpoly_def", "LinearMap.charpoly_monic", "LinearMap.charpoly_natDegree", "LinearMap.charpoly_nilpotent_tfae", "LinearMap.charpoly_prodMap", "LinearMap.charpoly_toMatrix", "LinearMap.clmOfExistsBoundedImage_apply", "LinearMap.closedEmbedding_of_injective", "LinearMap.codRestrict_apply", "LinearMap.coeFn_sum", "LinearMap.coe_coe", "LinearMap.coe_comp", "LinearMap.coe_compAlternatingMap", "LinearMap.coe_compMultilinearMap", "LinearMap.coe_copy", "LinearMap.coe_det", "LinearMap.coe_dfinsupp_sum", "LinearMap.coe_equivProdOfSurjectiveOfIsCompl", "LinearMap.coe_finsupp_sum", "LinearMap.coe_inl", "LinearMap.coe_inr", "LinearMap.coe_isometryOfInner", "LinearMap.coe_isometryOfOrthonormal", "LinearMap.coe_lTensorHom", "LinearMap.coe_mk", "LinearMap.coe_pow", "LinearMap.coe_quotientInfToSupQuotient", "LinearMap.coe_rTensorHom", "LinearMap.coe_restrictScalars", "LinearMap.coe_semilinearMap", "LinearMap.coe_single", "LinearMap.coe_smulRight", "LinearMap.coe_stdBasis", "LinearMap.coe_toAffineMap", "LinearMap.coe_toContinuousLinearMap", "LinearMap.coe_toContinuousLinearMap'", "LinearMap.coe_toSeminorm", "LinearMap.comap_codRestrict", "LinearMap.comap_eq_sup_ker_of_disjoint", "LinearMap.comap_injective", "LinearMap.comap_le_comap_iff", "LinearMap.comap_leq_ker_subToSupQuotient", "LinearMap.comap_prod_prod", "LinearMap.comm_comp_lTensor_comp_comm_eq", "LinearMap.comm_comp_rTensor_comp_comm_eq", "LinearMap.commute_mulLeft_right", "LinearMap.commute_pow_left_of_commute", "LinearMap.compAlternatingMap_apply", "LinearMap.compMultilinearMap_alternatization", "LinearMap.compMultilinearMap_apply", "LinearMap.compMultilinearMap_codRestrict", "LinearMap.compMultilinearMap_domDomCongr", "LinearMap.compPMap_apply", "LinearMap.comp_add", "LinearMap.comp_apply", "LinearMap.comp_assoc", "LinearMap.comp_id", "LinearMap.comp_id_fgModuleCat", "LinearMap.comp_id_moduleCat", "LinearMap.comp_neg", "LinearMap.comp_smul", "LinearMap.comp_sub", "LinearMap.comp_zero", "LinearMap.compl\u2081\u2082_apply", "LinearMap.compl\u2081\u2082_id_id", "LinearMap.compl\u2081\u2082_inj", "LinearMap.compl\u2082_apply", "LinearMap.compl\u2082_id", "LinearMap.compr\u2082_apply", "LinearMap.concaveOn", "LinearMap.congr_arg", "LinearMap.congr_fun", "LinearMap.conjugate_apply", "LinearMap.conjugate_i", "LinearMap.continuousAt_zero_of_locally_bounded", "LinearMap.continuous_iff_isClosed_ker", "LinearMap.continuous_of_finiteDimensional", "LinearMap.continuous_of_isClosed_graph", "LinearMap.continuous_of_isClosed_ker", "LinearMap.continuous_of_locally_bounded", "LinearMap.continuous_of_nonzero_on_open", "LinearMap.continuous_of_seq_closed_graph", "LinearMap.continuous_on_pi", "LinearMap.convexOn", "LinearMap.coprod_apply", "LinearMap.coprod_comp_prod", "LinearMap.coprod_inl", "LinearMap.coprod_inl_inr", "LinearMap.coprod_inr", "LinearMap.coprod_map_prod", "LinearMap.coprod_zero_right", "LinearMap.copy_eq", "LinearMap.curry_uncurryLeft", "LinearMap.default_def", "LinearMap.derivWithin", "LinearMap.detAux_comp", "LinearMap.detAux_def'", "LinearMap.detAux_def''", "LinearMap.detAux_id", "LinearMap.det_cases", "LinearMap.det_comp", "LinearMap.det_conj", "LinearMap.det_eq_det_toMatrix_of_finset", "LinearMap.det_eq_one_of_finrank_eq_zero", "LinearMap.det_eq_one_of_subsingleton", "LinearMap.det_smul", "LinearMap.det_toContinuousLinearMap", "LinearMap.det_toLin", "LinearMap.det_toMatrix", "LinearMap.det_toMatrix_eq_det_toMatrix", "LinearMap.det_zero", "LinearMap.det_zero'", "LinearMap.det_zero''", "LinearMap.dfinsupp_sum_apply", "LinearMap.diag_toMatrix_directSum_collectedBasis_eq_zero_of_mapsTo_ne", "LinearMap.disjoint_inl_inr", "LinearMap.disjoint_ker", "LinearMap.disjoint_ker'", "LinearMap.disjoint_stdBasis_stdBasis", "LinearMap.domRestrict'_apply", "LinearMap.domRestrict_apply", "LinearMap.dualAnnihilator_ker_eq_range_flip", "LinearMap.dualCoannihilator_range_eq_ker_flip", "LinearMap.dualMap_apply'", "LinearMap.dualMap_bijective_iff", "LinearMap.dualMap_comp_dualMap", "LinearMap.dualMap_def", "LinearMap.dualMap_id", "LinearMap.dualMap_injective_iff", "LinearMap.dualMap_injective_of_surjective", "LinearMap.dualMap_surjective_iff", "LinearMap.dualMap_surjective_of_injective", "LinearMap.dualPairing_nondegenerate", "LinearMap.dualProd.toQuadraticForm", "LinearMap.eqLocus_eq_ker_sub", "LinearMap.eqLocus_eq_top", "LinearMap.eqLocus_same", "LinearMap.eqOn_span", "LinearMap.eqOn_sup", "LinearMap.eq_adjoint_iff", "LinearMap.eq_adjoint_iff_basis", "LinearMap.eq_adjoint_iff_basis_left", "LinearMap.eq_adjoint_iff_basis_right", "LinearMap.equivProdOfSurjectiveOfIsCompl_apply", "LinearMap.equivariantProjection_apply", "LinearMap.equivariantProjection_condition", "LinearMap.eventually_codisjoint_ker_pow_range_pow", "LinearMap.eventually_disjoint_ker_pow_range_pow", "LinearMap.eventually_iInf_range_pow_eq", "LinearMap.eventually_iSup_ker_pow_eq", "LinearMap.eventually_isCompl_ker_pow_range_pow", "LinearMap.exact_iff", "LinearMap.exact_of_comp_of_mem_range", "LinearMap.exact_subtype_ker_map", "LinearMap.exact_subtype_mkQ", "LinearMap.exists_antilipschitzWith", "LinearMap.exists_extend", "LinearMap.exists_isNilRegular", "LinearMap.exists_isNilRegular_of_finrank_le_card", "LinearMap.exists_leftInverse_of_injective", "LinearMap.exists_map_addHaar_eq_smul_addHaar", "LinearMap.exists_map_addHaar_eq_smul_addHaar'", "LinearMap.exists_monic_and_coeff_mem_pow_and_aeval_eq_zero_of_range_le_smul", "LinearMap.exists_rightInverse_of_surjective", "LinearMap.ext", "LinearMap.ext_basis", "LinearMap.ext_iff", "LinearMap.ext_on", "LinearMap.ext_on_codisjoint", "LinearMap.ext_on_range", "LinearMap.ext_ring", "LinearMap.ext_ring_iff", "LinearMap.ext_ring_op", "LinearMap.extendScalarsOfIsLocalization_apply", "LinearMap.extendTo\ud835\udd5c'_apply", "LinearMap.extendTo\ud835\udd5c'_apply_re", "LinearMap.extendTo\ud835\udd5c_apply", "LinearMap.ext\u2082", "LinearMap.finiteDimensional_of_det_ne_one", "LinearMap.finiteDimensional_of_surjective", "LinearMap.finrank_le_finrank_of_injective", "LinearMap.finrank_maxGenEigenspace", "LinearMap.finrank_range_add_finrank_ker", "LinearMap.finrank_range_dualMap_eq_finrank_range", "LinearMap.finrank_range_le", "LinearMap.finrank_range_of_inj", "LinearMap.finsupp_sum_apply", "LinearMap.flip_apply", "LinearMap.flip_bijective_iff\u2081", "LinearMap.flip_bijective_iff\u2082", "LinearMap.flip_flip", "LinearMap.flip_injective_iff\u2081", "LinearMap.flip_injective_iff\u2082", "LinearMap.flip_separatingLeft", "LinearMap.flip_separatingRight", "LinearMap.flip_surjective_iff\u2082", "LinearMap.fst_apply", "LinearMap.fst_comp_inl", "LinearMap.fst_comp_inr", "LinearMap.fst_eq_coprod", "LinearMap.fst_surjective", "LinearMap.funLeft_apply", "LinearMap.funLeft_injective_of_surjective", "LinearMap.funLeft_surjective_of_injective", "LinearMap.graph_eq_ker_coprod", "LinearMap.graph_eq_range_prod", "LinearMap.hasBasis_weakBilin", "LinearMap.hasDerivWithinAt", "LinearMap.hasEigenvalue_zero_tfae", "LinearMap.hasStrictDerivAt", "LinearMap.iInf_invariant", "LinearMap.iInf_ker_proj", "LinearMap.iInf_ker_proj_le_iSup_range_stdBasis", "LinearMap.iSup_range_stdBasis", "LinearMap.iSup_range_stdBasis_eq_iInf_ker_proj", "LinearMap.iSup_range_stdBasis_le_iInf_ker_proj", "LinearMap.id_apply", "LinearMap.id_coe", "LinearMap.id_comp", "LinearMap.id_fgModuleCat_comp", "LinearMap.id_moduleCat_comp", "LinearMap.id_pow", "LinearMap.im_inner_adjoint_mul_self_eq_zero", "LinearMap.image_convexHull", "LinearMap.injOn_iff_surjOn", "LinearMap.injOn_of_disjoint_ker", "LinearMap.injective_domRestrict_iff", "LinearMap.injective_iff_antilipschitz", "LinearMap.injective_iff_surjective", "LinearMap.injective_iff_surjective_of_finrank_eq_finrank", "LinearMap.injective_of_iterate_injective", "LinearMap.injective_or_eq_zero", "LinearMap.injective_restrict_iff_disjoint", "LinearMap.inl_apply", "LinearMap.inl_injective", "LinearMap.inr_apply", "LinearMap.inr_eq_prod", "LinearMap.inr_injective", "LinearMap.inr_map_mul", "LinearMap.isAdjointPair_id", "LinearMap.isAdjointPair_iff_comp_eq_compl\u2082", "LinearMap.isAdjointPair_inner", "LinearMap.isAdjointPair_zero", "LinearMap.isAlt_iff_eq_neg_flip", "LinearMap.isClosed_or_dense_ker", "LinearMap.isClosed_range_coe", "LinearMap.isCoatom_ker_of_surjective", "LinearMap.isCompl_iSup_ker_pow_iInf_range_pow", "LinearMap.isCompl_of_proj", "LinearMap.isCompl_range_inl_inr", "LinearMap.isIdempotentElem_apply_one_iff", "LinearMap.isIntegral", "LinearMap.isLinearMap_of_compatibleSMul", "LinearMap.isNilRegular_def", "LinearMap.isNilRegular_iff_coeff_polyCharpoly_nilRank_ne_zero", "LinearMap.isNilRegular_iff_natTrailingDegree_charpoly_eq_nilRank", "LinearMap.isNilpotent_mulRight_iff", "LinearMap.isNilpotent_toMatrix_iff", "LinearMap.isNilpotent_trace_of_isNilpotent", "LinearMap.isOpenMap_of_finiteDimensional", "LinearMap.isOrtho_def", "LinearMap.isOrtho_flip", "LinearMap.isOrtho_zero_left", "LinearMap.isOrtho_zero_right", "LinearMap.isOrtho\u1d62_def", "LinearMap.isOrtho\u1d62_flip", "LinearMap.isPairSelfAdjoint_equiv", "LinearMap.isProj_iff_idempotent", "LinearMap.isScalarTower_of_injective", "LinearMap.isSelfAdjoint_iff'", "LinearMap.isSemisimpleModule_iff_of_bijective", "LinearMap.isSimpleModule_iff_of_bijective", "LinearMap.isSkewAdjoint_iff_neg_self_adjoint", "LinearMap.isSymm_dualProd", "LinearMap.isSymm_iff_eq_flip", "LinearMap.isSymm_zero", "LinearMap.isSymmetric_adjoint_mul_self", "LinearMap.isSymmetric_iff_inner_map_self_real", "LinearMap.isSymmetric_iff_isSelfAdjoint", "LinearMap.isSymmetric_zero", "LinearMap.isUnit_det", "LinearMap.isUnit_iff_ker_eq_bot", "LinearMap.isUnit_iff_range_eq_top", "LinearMap.isometryOfInner_toLinearMap", "LinearMap.isometryOfOrthonormal_toLinearMap", "LinearMap.iterateFrobenius_def", "LinearMap.iterateMapComap_eq_succ", "LinearMap.iterateMapComap_le_succ", "LinearMap.iterate_bijective", "LinearMap.iterate_injective", "LinearMap.iterate_succ", "LinearMap.iterate_surjective", "LinearMap.ker_codRestrict", "LinearMap.ker_comp", "LinearMap.ker_comp_eq_of_commute_of_disjoint_ker", "LinearMap.ker_comp_of_ker_eq_bot", "LinearMap.ker_coprod_of_disjoint_range", "LinearMap.ker_dualMap_eq_dualAnnihilator_range", "LinearMap.ker_dualMap_eq_dualCoannihilator_range", "LinearMap.ker_eq_bot", "LinearMap.ker_eq_bot'", "LinearMap.ker_eq_bot_iff_range_eq_top", "LinearMap.ker_eq_bot_iff_range_eq_top_of_finrank_eq_finrank", "LinearMap.ker_eq_bot_of_cancel", "LinearMap.ker_eq_bot_of_injective", "LinearMap.ker_eq_bot_of_inverse", "LinearMap.ker_eq_top", "LinearMap.ker_fst", "LinearMap.ker_id", "LinearMap.ker_id_sub_eq_of_proj", "LinearMap.ker_le_comap", "LinearMap.ker_le_iff", "LinearMap.ker_le_ker_comp", "LinearMap.ker_le_of_iterateMapComap_eq_succ", "LinearMap.ker_le_range_iff", "LinearMap.ker_lsmul", "LinearMap.ker_ne_bot_of_finrank_lt", "LinearMap.ker_noncommProd_eq_of_supIndep_ker", "LinearMap.ker_pi", "LinearMap.ker_prod", "LinearMap.ker_prodMap", "LinearMap.ker_prod_ker_le_ker_coprod", "LinearMap.ker_restrict", "LinearMap.ker_restrictScalars", "LinearMap.ker_smul", "LinearMap.ker_smul'", "LinearMap.ker_snd", "LinearMap.ker_stdBasis", "LinearMap.ker_toAddSubmonoid", "LinearMap.ker_toContinuousLinearMap", "LinearMap.ker_toSpanSingleton", "LinearMap.ker_zero", "LinearMap.lTensor_comp", "LinearMap.lTensor_comp_apply", "LinearMap.lTensor_comp_map", "LinearMap.lTensor_comp_rTensor", "LinearMap.lTensor_id", "LinearMap.lTensor_id_apply", "LinearMap.lTensor_inj_iff_rTensor_inj", "LinearMap.lTensor_mul", "LinearMap.lTensor_neg", "LinearMap.lTensor_pow", "LinearMap.lTensor_range", "LinearMap.lTensor_smul", "LinearMap.lTensor_sub", "LinearMap.lTensor_surj_iff_rTensor_surj", "LinearMap.lTensor_surjective", "LinearMap.lTensor_tmul", "LinearMap.lTensor_zero", "LinearMap.lcomp_apply", "LinearMap.le_eqLocus", "LinearMap.le_ker_iff_map", "LinearMap.le_rank_iff_exists_linearIndependent", "LinearMap.le_rank_iff_exists_linearIndependent_finset", "LinearMap.leftInverse_splittingOfFinsuppSurjective", "LinearMap.leftInverse_splittingOfFunOnFintypeSurjective", "LinearMap.lflip_apply", "LinearMap.lid_comp_rTensor", "LinearMap.lift_rank_comp_le", "LinearMap.lift_rank_comp_le_right", "LinearMap.lift_rank_le_of_surjective", "LinearMap.linearEquivOfInjective_apply", "LinearMap.linearIndependent_iff", "LinearMap.linearIndependent_of_isOrtho\u1d62", "LinearMap.linearProjOfIsCompl_of_proj", "LinearMap.llcomp_apply'", "LinearMap.lsmul_apply", "LinearMap.lsmul_injective", "LinearMap.mapMatrix_comp", "LinearMap.mapMatrix_id", "LinearMap.map_add", "LinearMap.map_algebraMap_mul", "LinearMap.map_codRestrict", "LinearMap.map_coe_ker", "LinearMap.map_comp_lTensor", "LinearMap.map_comp_rTensor", "LinearMap.map_coprod_prod", "LinearMap.map_dfinsupp_sumAddHom", "LinearMap.map_eq_top_iff", "LinearMap.map_finsupp_total", "LinearMap.map_injective", "LinearMap.map_le_map_iff", "LinearMap.map_le_map_iff'", "LinearMap.map_le_range", "LinearMap.map_mul_algebraMap", "LinearMap.map_neg", "LinearMap.map_neg\u2082", "LinearMap.map_smul", "LinearMap.map_smul_inv", "LinearMap.map_smul_of_tower", "LinearMap.map_smul\u2082", "LinearMap.map_smul\u209b\u2097", "LinearMap.map_smul\u209b\u2097\u2082", "LinearMap.map_sub", "LinearMap.map_zero", "LinearMap.map_zero\u2082", "LinearMap.mapsTo_biSup_of_mapsTo", "LinearMap.mem_isPairSelfAdjointSubmodule", "LinearMap.mem_ker", "LinearMap.mem_range", "LinearMap.mem_range_self", "LinearMap.mem_skewAdjointSubmodule", "LinearMap.minpoly_coeff_zero_of_injective", "LinearMap.minpoly_toMatrix", "LinearMap.minpoly_toMatrix'", "LinearMap.mkContinuous_apply", "LinearMap.mkContinuous_norm_le'", "LinearMap.mkContinuous\u2082_apply", "LinearMap.mkContinuous\u2082_norm_le", "LinearMap.mk\u2082'_apply", "LinearMap.mk\u2082'\u209b\u2097_apply", "LinearMap.mk\u2082_apply", "LinearMap.mulLeft_apply", "LinearMap.mulLeft_eq_zero_iff", "LinearMap.mulLeft_injective", "LinearMap.mulLeft_mul", "LinearMap.mulLeft_one", "LinearMap.mulLeft_toAddMonoidHom", "LinearMap.mulRight_apply", "LinearMap.mulRight_eq_zero_iff", "LinearMap.mulRight_injective", "LinearMap.mulRight_mul", "LinearMap.mulRight_one", "LinearMap.mulRight_toAddMonoidHom", "LinearMap.mul_apply", "LinearMap.mul_apply'", "LinearMap.mul_eq_comp", "LinearMap.mul_eq_one_comm", "LinearMap.mul_eq_one_of_mul_eq_one", "LinearMap.mul_injective", "LinearMap.mul_toMatrix'", "LinearMap.mul_toMatrix\u2082", "LinearMap.mul_toMatrix\u2082'_mul", "LinearMap.mul_toMatrix\u2082_mul", "LinearMap.neg_apply", "LinearMap.neg_comp", "LinearMap.nilRankAux_basis_indep", "LinearMap.nilRankAux_le", "LinearMap.nilRank_le_card", "LinearMap.nilRank_le_finrank", "LinearMap.nilRank_le_natTrailingDegree_charpoly", "LinearMap.nondegenerate_restrict_of_disjoint_orthogonal", "LinearMap.nondegenerate_toMatrix_iff", "LinearMap.nondegenerate_toMatrix\u2082'_iff", "LinearMap.norm_extendTo\ud835\udd5c'_apply_sq", "LinearMap.norm_map_iff_inner_map_map", "LinearMap.norm_mkContinuous\u2082_aux", "LinearMap.not_hasEigenvalue_zero_tfae", "LinearMap.not_separatingLeft_zero", "LinearMap.ofIsComplProd_apply", "LinearMap.ofIsCompl_add", "LinearMap.ofIsCompl_eq", "LinearMap.ofIsCompl_eq'", "LinearMap.ofIsCompl_left_apply", "LinearMap.ofIsCompl_right_apply", "LinearMap.ofIsCompl_zero", "LinearMap.one_apply", "LinearMap.one_eq_id", "LinearMap.ortho_smul_left", "LinearMap.ortho_smul_right", "LinearMap.orthogonal_span_singleton_eq_to_lin_ker", "LinearMap.pi_apply", "LinearMap.pi_apply_eq_sum_univ", "LinearMap.pi_eq_zero", "LinearMap.pi_ext", "LinearMap.pi_ext'_iff", "LinearMap.polar_antitone", "LinearMap.polar_empty", "LinearMap.polar_eq_iInter", "LinearMap.polar_gc", "LinearMap.polar_iUnion", "LinearMap.polar_mem", "LinearMap.polar_union", "LinearMap.polar_univ", "LinearMap.polar_weak_closed", "LinearMap.polar_zero", "LinearMap.polyCharpolyAux_baseChange", "LinearMap.polyCharpolyAux_basisIndep", "LinearMap.polyCharpolyAux_coeff_eval", "LinearMap.polyCharpolyAux_eval_eq_toMatrix_charpoly_coeff", "LinearMap.polyCharpolyAux_map_aeval", "LinearMap.polyCharpolyAux_map_eq_charpoly", "LinearMap.polyCharpolyAux_map_eq_toMatrix_charpoly", "LinearMap.polyCharpolyAux_map_eval", "LinearMap.polyCharpoly_baseChange", "LinearMap.polyCharpoly_coeff_eq_zero_iff_of_basis", "LinearMap.polyCharpoly_coeff_eq_zero_of_basis", "LinearMap.polyCharpoly_coeff_eval", "LinearMap.polyCharpoly_coeff_isHomogeneous", "LinearMap.polyCharpoly_coeff_nilRankAux_ne_zero", "LinearMap.polyCharpoly_eq_of_basis", "LinearMap.polyCharpoly_map_eq_charpoly", "LinearMap.polyCharpoly_monic", "LinearMap.polyCharpoly_natDegree", "LinearMap.polyCharpoly_ne_zero", "LinearMap.pow_apply", "LinearMap.pow_apply_mem_of_forall_mem", "LinearMap.pow_eq_aeval_mod_charpoly", "LinearMap.pow_map_zero_of_le", "LinearMap.pow_mulLeft", "LinearMap.pow_mulRight", "LinearMap.pow_restrict", "LinearMap.prodMap_apply", "LinearMap.prodMap_comap_prod", "LinearMap.prodMap_id", "LinearMap.prodMap_mul", "LinearMap.prodMap_smul", "LinearMap.prodMap_zero", "LinearMap.prod_comp", "LinearMap.prod_eq_sup_map", "LinearMap.prod_ext_iff", "LinearMap.proj_apply", "LinearMap.proj_comp_stdBasis", "LinearMap.proj_pi", "LinearMap.proj_stdBasis_ne", "LinearMap.proj_stdBasis_same", "LinearMap.quotKerEquivRange_apply_mk", "LinearMap.quotientInfEquivSupQuotient_apply_mk", "LinearMap.quotientInfEquivSupQuotient_injective", "LinearMap.quotientInfEquivSupQuotient_surjective", "LinearMap.quotientInfEquivSupQuotient_symm_apply_eq_zero_iff", "LinearMap.quotientInfEquivSupQuotient_symm_apply_left", "LinearMap.rTensor_comp", "LinearMap.rTensor_comp_apply", "LinearMap.rTensor_comp_flip_mk", "LinearMap.rTensor_comp_lTensor", "LinearMap.rTensor_comp_map", "LinearMap.rTensor_id_apply", "LinearMap.rTensor_mul", "LinearMap.rTensor_neg", "LinearMap.rTensor_pow", "LinearMap.rTensor_range", "LinearMap.rTensor_smul", "LinearMap.rTensor_smul_action", "LinearMap.rTensor_sub", "LinearMap.rTensor_surjective", "LinearMap.rTensor_tmul", "LinearMap.range_codRestrict", "LinearMap.range_coe", "LinearMap.range_comp", "LinearMap.range_comp_le_range", "LinearMap.range_comp_of_range_eq_top", "LinearMap.range_domRestrict_eq_range_iff", "LinearMap.range_domRestrict_le_range", "LinearMap.range_dualMap_dual_eq_span_singleton", "LinearMap.range_dualMap_eq_dualAnnihilator_ker", "LinearMap.range_dualMap_eq_dualAnnihilator_ker_of_subtype_range_surjective", "LinearMap.range_dualMap_eq_dualAnnihilator_ker_of_surjective", "LinearMap.range_dualMap_le_dualAnnihilator_ker", "LinearMap.range_eq_bot", "LinearMap.range_eq_map", "LinearMap.range_eq_of_proj", "LinearMap.range_eq_top", "LinearMap.range_eq_top_of_cancel", "LinearMap.range_id", "LinearMap.range_inl", "LinearMap.range_inr", "LinearMap.range_le_bot_iff", "LinearMap.range_le_iff_comap", "LinearMap.range_le_ker_iff", "LinearMap.range_lt_top_of_det_eq_zero", "LinearMap.range_mkQ_comp", "LinearMap.range_neg", "LinearMap.range_prod_eq", "LinearMap.range_prod_le", "LinearMap.range_rangeRestrict", "LinearMap.range_smul", "LinearMap.range_smul'", "LinearMap.range_toAddSubgroup", "LinearMap.range_toAddSubmonoid", "LinearMap.range_toContinuousLinearMap", "LinearMap.range_zero", "LinearMap.rank_add_le", "LinearMap.rank_comp_le", "LinearMap.rank_comp_le_left", "LinearMap.rank_comp_le_right", "LinearMap.rank_diagonal", "LinearMap.rank_finset_sum_le", "LinearMap.rank_le_of_surjective", "LinearMap.rank_le_range", "LinearMap.rank_zero", "LinearMap.re_inner_adjoint_mul_self_nonneg", "LinearMap.reduceModIdealAux_apply", "LinearMap.reduceModIdeal_apply", "LinearMap.restrictScalars_apply", "LinearMap.restrictScalars_injective", "LinearMap.restrictScalars\u2081\u2082_inj", "LinearMap.restrictScalars\u2081\u2082_injective", "LinearMap.restrict_apply", "LinearMap.restrict_coe_apply", "LinearMap.restrict_commute", "LinearMap.restrict_comp", "LinearMap.restrict_eq_codRestrict_domRestrict", "LinearMap.restrict_sub", "LinearMap.separatingLeft_congr_iff", "LinearMap.separatingLeft_dualProd", "LinearMap.separatingLeft_iff_det_ne_zero", "LinearMap.separatingLeft_iff_ker_eq_bot", "LinearMap.separatingLeft_iff_linear_nontrivial", "LinearMap.separatingLeft_of_det_ne_zero", "LinearMap.separatingLeft_toLinearMap\u2082'_iff_det_ne_zero", "LinearMap.separatingLeft_toLinearMap\u2082'_of_det_ne_zero'", "LinearMap.separatingRight_iff_flip_ker_eq_bot", "LinearMap.separatingRight_iff_linear_flip_nontrivial", "LinearMap.slope_comp", "LinearMap.smulRight_apply_eq_zero_iff", "LinearMap.smulRight_eq_comp", "LinearMap.smulRight_zero", "LinearMap.smulRight\u2097_apply", "LinearMap.smul_apply", "LinearMap.smul_def", "LinearMap.snd_apply", "LinearMap.snd_comp_inl", "LinearMap.snd_surjective", "LinearMap.span_inl_union_inr", "LinearMap.span_singleton_eq_range", "LinearMap.span_singleton_inf_orthogonal_eq_bot", "LinearMap.span_singleton_sup_ker_eq_top", "LinearMap.splittingOfFinsuppSurjective_injective", "LinearMap.splittingOfFinsuppSurjective_splits", "LinearMap.splittingOfFunOnFintypeSurjective_injective", "LinearMap.splittingOfFunOnFintypeSurjective_splits", "LinearMap.stdBasis_apply'", "LinearMap.stdBasis_eq_pi_diag", "LinearMap.stdBasis_eq_single", "LinearMap.stdBasis_ne", "LinearMap.sub_apply", "LinearMap.sub_mem_ker_iff", "LinearMap.submoduleImage_apply_of_le", "LinearMap.submoduleMap_coe_apply", "LinearMap.submoduleMap_surjective", "LinearMap.submodule_pow_eq_zero_of_pow_eq_zero", "LinearMap.subtype_compAlternatingMap_codRestrict", "LinearMap.subtype_compMultilinearMap_codRestrict", "LinearMap.subtype_comp_codRestrict", "LinearMap.subtype_comp_restrict", "LinearMap.sumOfConjugatesEquivariant_apply", "LinearMap.sumOfConjugates_apply", "LinearMap.sum_apply", "LinearMap.sum_repr_mul_repr_mul", "LinearMap.sum_repr_mul_repr_mul\u209b\u2097", "LinearMap.sup_range_inl_inr", "LinearMap.surjective_domRestrict_iff", "LinearMap.surjective_of_injective", "LinearMap.surjective_of_iterate_surjective", "LinearMap.surjective_or_eq_zero", "LinearMap.tailing_disjoint_tunnel_succ", "LinearMap.tailing_le_tunnel", "LinearMap.tailing_sup_tunnel_succ_le_tunnel", "LinearMap.tailings_disjoint_tailing", "LinearMap.tailings_disjoint_tunnel", "LinearMap.tailings_succ", "LinearMap.tailings_zero", "LinearMap.tendsto_birkhoffAverage_of_ker_subset_closure", "LinearMap.toAddMonoidHom_coe", "LinearMap.toAffineMap_linear", "LinearMap.toBilin_symm", "LinearMap.toContinuousLinearMap\u2081_coe", "LinearMap.toLinearMap_injective", "LinearMap.toLinearMap\u2082'Aux_toMatrix\u2082Aux", "LinearMap.toMatrix'_algebraMap", "LinearMap.toMatrix'_apply", "LinearMap.toMatrix'_comp", "LinearMap.toMatrix'_id", "LinearMap.toMatrix'_mul", "LinearMap.toMatrix'_one", "LinearMap.toMatrix'_symm", "LinearMap.toMatrix'_toLin'", "LinearMap.toMatrix'_toLinearMap\u2082'", "LinearMap.toMatrix'_toLinearMap\u209b\u2097\u2082'", "LinearMap.toMatrixAlgEquiv'_apply", "LinearMap.toMatrixAlgEquiv'_id", "LinearMap.toMatrixAlgEquiv'_mul", "LinearMap.toMatrixAlgEquiv'_toLinAlgEquiv'", "LinearMap.toMatrixAlgEquiv_apply", "LinearMap.toMatrixAlgEquiv_comp", "LinearMap.toMatrixAlgEquiv_id", "LinearMap.toMatrixAlgEquiv_mul", "LinearMap.toMatrixAlgEquiv_reindexRange", "LinearMap.toMatrixAlgEquiv_symm", "LinearMap.toMatrixAlgEquiv_toLinAlgEquiv", "LinearMap.toMatrixAlgEquiv_transpose_apply", "LinearMap.toMatrixAlgEquiv_transpose_apply'", "LinearMap.toMatrix_adjoint", "LinearMap.toMatrix_algebraMap", "LinearMap.toMatrix_apply", "LinearMap.toMatrix_apply'", "LinearMap.toMatrix_baseChange", "LinearMap.toMatrix_basis_equiv", "LinearMap.toMatrix_comp", "LinearMap.toMatrix_directSum_collectedBasis_eq_blockDiagonal'", "LinearMap.toMatrix_eq_toMatrix'", "LinearMap.toMatrix_id", "LinearMap.toMatrix_id_eq_basis_toMatrix", "LinearMap.toMatrix_mul", "LinearMap.toMatrix_mulVec_repr", "LinearMap.toMatrix_one", "LinearMap.toMatrix_pow", "LinearMap.toMatrix_prodMap", "LinearMap.toMatrix_reindexRange", "LinearMap.toMatrix_toLin", "LinearMap.toMatrix_transpose", "LinearMap.toMatrix_transpose_apply", "LinearMap.toMatrix_transpose_apply'", "LinearMap.toMatrix\u2082'_apply", "LinearMap.toMatrix\u2082'_comp", "LinearMap.toMatrix\u2082'_compl\u2081\u2082", "LinearMap.toMatrix\u2082'_compl\u2082", "LinearMap.toMatrix\u2082'_mul", "LinearMap.toMatrix\u2082Aux_eq", "LinearMap.toMatrix\u2082_apply", "LinearMap.toMatrix\u2082_basisFun", "LinearMap.toMatrix\u2082_comp", "LinearMap.toMatrix\u2082_compl\u2081\u2082", "LinearMap.toMatrix\u2082_compl\u2082", "LinearMap.toMatrix\u2082_mul", "LinearMap.toMatrix\u2082_mul_basis_toMatrix", "LinearMap.toMatrix\u2082_symm", "LinearMap.toMatrix\u2082_toLinearMap\u2082", "LinearMap.toMatrix\u209b\u2097\u2082'_apply", "LinearMap.toMatrix\u209b\u2097\u2082'_symm", "LinearMap.toMvPolynomial_add", "LinearMap.toMvPolynomial_baseChange", "LinearMap.toMvPolynomial_comp", "LinearMap.toMvPolynomial_eval_eq_apply", "LinearMap.toMvPolynomial_id", "LinearMap.toMvPolynomial_totalDegree_le", "LinearMap.toMvPolynomial_zero", "LinearMap.toPMap_apply", "LinearMap.toSeminorm_apply", "LinearMap.toSeminorm_comp", "LinearMap.toSpanSingleton_homothety", "LinearMap.toSpanSingleton_isIdempotentElem_iff", "LinearMap.toSpanSingleton_one", "LinearMap.toSpanSingleton_zero", "LinearMap.traceAux_def", "LinearMap.traceAux_eq", "LinearMap.trace_baseChange", "LinearMap.trace_comp_comm", "LinearMap.trace_comp_comm'", "LinearMap.trace_comp_cycle", "LinearMap.trace_comp_cycle'", "LinearMap.trace_comp_eq_mul_of_commute_of_isNilpotent", "LinearMap.trace_comp_eq_zero_of_commute_of_trace_restrict_eq_zero", "LinearMap.trace_conj'", "LinearMap.trace_eq_contract'", "LinearMap.trace_eq_contract_apply", "LinearMap.trace_eq_contract_of_basis", "LinearMap.trace_eq_contract_of_basis'", "LinearMap.trace_eq_matrix_trace", "LinearMap.trace_eq_matrix_trace_of_finset", "LinearMap.trace_eq_sum_trace_restrict", "LinearMap.trace_eq_sum_trace_restrict'", "LinearMap.trace_eq_sum_trace_restrict_of_eq_biSup", "LinearMap.trace_eq_zero_of_mapsTo_ne", "LinearMap.trace_id", "LinearMap.trace_lie", "LinearMap.trace_mul_comm", "LinearMap.trace_mul_cycle", "LinearMap.trace_mul_cycle'", "LinearMap.trace_one", "LinearMap.trace_prodMap", "LinearMap.trace_prodMap'", "LinearMap.trace_restrict_eq_of_forall_mem", "LinearMap.trace_tensorProduct", "LinearMap.trace_tensorProduct'", "LinearMap.trace_transpose", "LinearMap.trace_transpose'", "LinearMap.tripolar_eq_polar", "LinearMap.tunnelAux_injective", "LinearMap.update_apply", "LinearMap.vecCons_apply", "LinearMap.vecEmpty_apply", "LinearMap.weakBilin_withSeminorms", "LinearMap.withSeminorms_induced", "LinearMap.zero_apply", "LinearMap.zero_comp", "LinearMap.zero_mem_polar", "LinearMap.zero_smulRight", "LinearMapClass.ker_eq_bot", "LinearMapClass.map_smul", "LinearOrder.bot_topologicalSpace_eq_generateFrom", "LinearOrder.concaveOn_of_lt", "LinearOrder.convexOn_of_lt", "LinearOrder.ext", "LinearOrder.infClosed", "LinearOrder.isSublattice", "LinearOrder.strictConvexOn_of_lt", "LinearOrder.supClosed", "LinearOrder.toPartialOrder_injective", "LinearOrderedAddCommGroup.tendsto_nhds", "LinearOrderedCommGroup.mul_lt_mul_left'", "LinearOrderedField.coe_inducedOrderRingIso", "LinearOrderedField.coe_lt_inducedMap_iff", "LinearOrderedField.coe_mem_cutMap_iff", "LinearOrderedField.cutMap_add", "LinearOrderedField.cutMap_bddAbove", "LinearOrderedField.cutMap_coe", "LinearOrderedField.cutMap_self", "LinearOrderedField.exists_mem_cutMap_mul_self_of_lt_inducedMap_mul_self", "LinearOrderedField.inducedMap_add", "LinearOrderedField.inducedMap_inducedMap", "LinearOrderedField.inducedMap_inv_self", "LinearOrderedField.inducedMap_mono", "LinearOrderedField.inducedMap_one", "LinearOrderedField.inducedMap_rat", "LinearOrderedField.inducedMap_self", "LinearOrderedField.inducedOrderRingIso_self", "LinearOrderedField.le_inducedMap_mul_self_of_mem_cutMap", "LinearOrderedField.lt_inducedMap_iff", "LinearOrderedField.mem_cutMap_iff", "LinearOrderedField.smul_Icc", "LinearOrderedField.smul_Ici", "LinearOrderedField.smul_Ico", "LinearOrderedField.smul_Iic", "LinearOrderedField.smul_Iio", "LinearOrderedField.smul_Ioc", "LinearOrderedField.smul_Ioi", "LinearOrderedField.smul_Ioo", "LinearOrderedRing.orderOf_le_two", "LinearPMap.IsClosable.closure_isClosed", "LinearPMap.IsClosable.closure_mono", "LinearPMap.IsClosable.graph_closure_eq_closure_graph", "LinearPMap.IsClosable.leIsClosable", "LinearPMap.IsClosed.isClosable", "LinearPMap.IsFormalAdjoint.symm", "LinearPMap.add_domain", "LinearPMap.adjointAux_inner", "LinearPMap.adjointAux_unique", "LinearPMap.adjointDomainMkCLMExtend_apply", "LinearPMap.adjoint_apply_eq", "LinearPMap.adjoint_apply_of_dense", "LinearPMap.adjoint_apply_of_not_dense", "LinearPMap.adjoint_isFormalAdjoint", "LinearPMap.closureHasCore", "LinearPMap.closure_def'", "LinearPMap.closure_inverse_graph", "LinearPMap.coe_smul", "LinearPMap.domRestrict_apply", "LinearPMap.domRestrict_domain", "LinearPMap.domain_mkSpanSingleton", "LinearPMap.domain_sup", "LinearPMap.domain_supSpanSingleton", "LinearPMap.eq_of_eq_graph", "LinearPMap.eq_of_le_of_domain_eq", "LinearPMap.ext", "LinearPMap.ext'", "LinearPMap.ext_iff", "LinearPMap.fst_apply", "LinearPMap.graph_fst_eq_zero_snd", "LinearPMap.graph_map_fst_eq_domain", "LinearPMap.graph_map_snd_eq_range", "LinearPMap.hasCore_def", "LinearPMap.image_iff", "LinearPMap.inverse_apply_eq", "LinearPMap.inverse_closure", "LinearPMap.inverse_domain", "LinearPMap.inverse_graph", "LinearPMap.inverse_isClosable_iff", "LinearPMap.inverse_range", "LinearPMap.isClosable_iff_exists_closed_extension", "LinearPMap.le_closure", "LinearPMap.le_graph_iff", "LinearPMap.le_graph_of_le", "LinearPMap.le_of_le_graph", "LinearPMap.left_le_sup", "LinearPMap.map_neg", "LinearPMap.map_smul", "LinearPMap.map_zero", "LinearPMap.mem_adjoint_domain_iff", "LinearPMap.mem_adjoint_domain_of_exists", "LinearPMap.mem_domain_iff", "LinearPMap.mem_domain_iff_of_eq_graph", "LinearPMap.mem_domain_of_mem_graph", "LinearPMap.mem_graph", "LinearPMap.mem_graph_iff", "LinearPMap.mem_graph_iff'", "LinearPMap.mem_graph_snd_inj", "LinearPMap.mem_graph_snd_inj'", "LinearPMap.mem_inverse_graph", "LinearPMap.mem_inverse_graph_snd_eq_zero", "LinearPMap.mem_range_iff", "LinearPMap.mkSpanSingleton'_apply", "LinearPMap.mkSpanSingleton'_apply_self", "LinearPMap.mk_apply", "LinearPMap.neg_apply", "LinearPMap.neg_domain", "LinearPMap.neg_graph", "LinearPMap.right_le_sup", "LinearPMap.sSup_apply", "LinearPMap.sSup_aux", "LinearPMap.sSup_le", "LinearPMap.smul_apply", "LinearPMap.smul_domain", "LinearPMap.smul_graph", "LinearPMap.snd_apply", "LinearPMap.sub_domain", "LinearPMap.supSpanSingleton_apply_mk", "LinearPMap.sup_apply", "LinearPMap.sup_aux", "LinearPMap.sup_h_of_disjoint", "LinearPMap.zero_apply", "LinearPMap.zero_domain", "LinearRecurrence.eq_mk_of_is_sol_of_eq_init", "LinearRecurrence.geom_sol_iff_root_charPoly", "LinearRecurrence.is_sol_iff_mem_solSpace", "LinearRecurrence.mkSol_eq_init", "LinearRecurrence.solSpace_rank", "LinearRecurrence.sol_eq_of_eq_init", "Liouville.exists_one_le_pow_mul_dist", "Liouville.exists_pos_real_of_irrational_root", "Liouville.frequently_exists_num", "Liouville.irrational", "Liouville.liouvilleWith", "Liouville.transcendental", "LiouvilleNumber.aux_calc", "LiouvilleNumber.partialSum_add_remainder", "LiouvilleNumber.partialSum_eq_rat", "LiouvilleNumber.partialSum_succ", "LiouvilleNumber.remainder_lt'", "LiouvilleWith.add_int_iff", "LiouvilleWith.add_nat_iff", "LiouvilleWith.add_rat", "LiouvilleWith.exists_pos", "LiouvilleWith.frequently_lt_rpow_neg", "LiouvilleWith.int_add", "LiouvilleWith.int_add_iff", "LiouvilleWith.int_sub", "LiouvilleWith.int_sub_iff", "LiouvilleWith.irrational", "LiouvilleWith.mono", "LiouvilleWith.mul_int", "LiouvilleWith.mul_int_iff", "LiouvilleWith.mul_nat", "LiouvilleWith.mul_nat_iff", "LiouvilleWith.mul_rat", "LiouvilleWith.mul_rat_iff", "LiouvilleWith.nat_mul", "LiouvilleWith.nat_mul_iff", "LiouvilleWith.nat_sub_iff", "LiouvilleWith.ne_cast_int", "LiouvilleWith.neg", "LiouvilleWith.neg_iff", "LiouvilleWith.rat_add", "LiouvilleWith.rat_add_iff", "LiouvilleWith.rat_mul", "LiouvilleWith.rat_mul_iff", "LiouvilleWith.rat_sub", "LiouvilleWith.rat_sub_iff", "LiouvilleWith.sub_int", "LiouvilleWith.sub_int_iff", "LiouvilleWith.sub_nat", "LiouvilleWith.sub_nat_iff", "LiouvilleWith.sub_rat", "LiouvilleWith.sub_rat_iff", "LipschitzOnWith.ae_differentiableWithinAt", "LipschitzOnWith.ae_differentiableWithinAt_of_mem", "LipschitzOnWith.ae_differentiableWithinAt_of_mem_of_real", "LipschitzOnWith.ae_differentiableWithinAt_of_mem_pi", "LipschitzOnWith.cauchySeq_comp", "LipschitzOnWith.comp_eVariationOn_le", "LipschitzOnWith.continuousOn", "LipschitzOnWith.coordinate", "LipschitzOnWith.dimH_image_le", "LipschitzOnWith.ediam_image2_le", "LipschitzOnWith.edist_le_mul_of_le", "LipschitzOnWith.edist_lt_of_edist_lt_div", "LipschitzOnWith.extend_finite_dimension", "LipschitzOnWith.extend_lp_infty", "LipschitzOnWith.extend_pi", "LipschitzOnWith.extend_real", "LipschitzOnWith.hausdorffMeasure_image_le", "LipschitzOnWith.iff_le_add_mul", "LipschitzOnWith.isBounded_image2", "LipschitzOnWith.le_add_mul", "LipschitzOnWith.locallyBoundedVariationOn", "LipschitzOnWith.mk_one", "LipschitzOnWith.norm_div_le_of_le", "LipschitzOnWith.of_dist_le'", "LipschitzOnWith.of_le_add", "LipschitzOnWith.of_le_add_mul", "LipschitzOnWith.of_le_add_mul'", "LipschitzOnWith.prod", "LipschitzOnWith.uniformContinuousOn", "LipschitzWith.ae_differentiableAt", "LipschitzWith.ae_differentiableAt_of_real", "LipschitzWith.ae_differentiableAt_real", "LipschitzWith.ae_exists_fderiv_of_countable", "LipschitzWith.ae_lineDeriv_sum_eq", "LipschitzWith.ae_lineDifferentiableAt", "LipschitzWith.cauchySeq_comp", "LipschitzWith.coeFn_compLp", "LipschitzWith.comap_cobounded_le", "LipschitzWith.comp", "LipschitzWith.compLp_zero", "LipschitzWith.comp_boundedVariationOn", "LipschitzWith.completion_map", "LipschitzWith.const", "LipschitzWith.const'", "LipschitzWith.const_max", "LipschitzWith.const_min", "LipschitzWith.coordinate", "LipschitzWith.diam_image_le", "LipschitzWith.dimH_image_le", "LipschitzWith.dimH_range_le", "LipschitzWith.dist", "LipschitzWith.dist_iterate_succ_le_geometric", "LipschitzWith.dist_left", "LipschitzWith.dist_right", "LipschitzWith.div", "LipschitzWith.ediam_image_le", "LipschitzWith.edist_iterate_succ_le_geometric", "LipschitzWith.edist_le_mul", "LipschitzWith.edist_lt_mul_of_lt", "LipschitzWith.edist_lt_of_edist_lt_div", "LipschitzWith.edist_lt_top", "LipschitzWith.eval", "LipschitzWith.hasFderivAt_of_hasLineDerivAt_of_closure", "LipschitzWith.id", "LipschitzWith.iff_le_add_mul", "LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul", "LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul'", "LipschitzWith.integral_lineDeriv_mul_eq", "LipschitzWith.iterate", "LipschitzWith.le_add_mul", "LipschitzWith.list_prod", "LipschitzWith.locallyBoundedVariationOn", "LipschitzWith.locallyLipschitz", "LipschitzWith.mapsTo_emetric_closedBall", "LipschitzWith.max", "LipschitzWith.max_const", "LipschitzWith.mem\u2112p_comp_iff_of_antilipschitz", "LipschitzWith.min", "LipschitzWith.min_const", "LipschitzWith.mk_one", "LipschitzWith.mul'", "LipschitzWith.mul_edist_le", "LipschitzWith.mul_end", "LipschitzWith.nndist_le", "LipschitzWith.nnorm_le_mul'", "LipschitzWith.norm_compLp_sub_le", "LipschitzWith.norm_le_mul'", "LipschitzWith.of_dist_le'", "LipschitzWith.of_edist_le", "LipschitzWith.of_le_add", "LipschitzWith.of_le_add_mul", "LipschitzWith.of_le_add_mul'", "LipschitzWith.pow_end", "LipschitzWith.prod", "LipschitzWith.prod_mk_left", "LipschitzWith.prod_mk_right", "LipschitzWith.prod_snd", "LipschitzWith.properSpace", "LipschitzWith.subtype_mk", "LipschitzWith.subtype_val", "LipschitzWith.to_rightInverse", "LipschitzWith.uncurry", "LipschitzWith.uniformContinuous", "LipschitzWith.uniformly_bounded", "LipschitzWith.vadd", "LipschitzWith.vsub", "List.Chain'.cons_of_le", "List.Chain'.count_false_eq_count_true", "List.Chain'.count_false_le_count_true_add_one", "List.Chain'.count_not_eq_count", "List.Chain'.count_not_le_count_add_one", "List.Chain'.count_true_le_count_false_add_one", "List.Chain'.iff_mem", "List.Chain'.imp", "List.Chain'.imp_head", "List.Chain'.infix", "List.Chain'.init", "List.Chain'.left_of_append", "List.Chain'.length_div_two_le_count_bool", "List.Chain'.length_sub_one_le_two_mul_count_bool", "List.Chain'.prefix", "List.Chain'.rel_head", "List.Chain'.rel_head?", "List.Chain'.right_of_append", "List.Chain'.take", "List.Chain'.two_mul_count_bool_eq_ite", "List.Chain'.two_mul_count_bool_le_length_add_one", "List.Chain'.two_mul_count_bool_of_even", "List.Chain.count_not", "List.Chain.iff_mem", "List.Chain.imp", "List.Chain.induction", "List.Chain.induction_head", "List.Chain.pairwise", "List.Chain.rel", "List.Chain.sublist", "List.DecEq_eq", "List.Duplicate.duplicate_cons", "List.Duplicate.elim_nil", "List.Duplicate.elim_singleton", "List.Duplicate.mem", "List.Duplicate.mem_cons_self", "List.Duplicate.mono_sublist", "List.Duplicate.ne_singleton", "List.Duplicate.not_nodup", "List.Duplicate.of_duplicate_cons", "List.Forall.imp", "List.Forall\u2082.length_eq", "List.Forall\u2082.mp", "List.Forall\u2082.nthLe", "List.Forall\u2082.prod_le_prod'", "List.Ico.append_consecutive", "List.Ico.bagInter_consecutive", "List.Ico.chain'_succ", "List.Ico.eq_cons", "List.Ico.eq_empty_iff", "List.Ico.eq_nil_of_le", "List.Ico.filter_le", "List.Ico.filter_le_of_bot", "List.Ico.filter_le_of_le", "List.Ico.filter_le_of_le_bot", "List.Ico.filter_le_of_top_le", "List.Ico.filter_lt", "List.Ico.filter_lt_of_ge", "List.Ico.filter_lt_of_le_bot", "List.Ico.filter_lt_of_succ_bot", "List.Ico.filter_lt_of_top_le", "List.Ico.inter_consecutive", "List.Ico.length", "List.Ico.map_add", "List.Ico.map_sub", "List.Ico.mem", "List.Ico.nodup", "List.Ico.not_mem_top", "List.Ico.pairwise_lt", "List.Ico.pred_singleton", "List.Ico.self_empty", "List.Ico.succ_singleton", "List.Ico.succ_top", "List.Ico.trichotomy", "List.Ico.zero_bot", "List.IsInfix.eq_of_length", "List.IsInfix.filter", "List.IsInfix.sublist", "List.IsInfix.trans", "List.IsPrefix.eq_of_length", "List.IsPrefix.eraseIdx", "List.IsPrefix.filter", "List.IsPrefix.filterMap", "List.IsPrefix.getElem", "List.IsPrefix.get_eq", "List.IsPrefix.head_eq", "List.IsPrefix.length_le", "List.IsPrefix.map", "List.IsPrefix.reduceOption", "List.IsPrefix.subset", "List.IsRotated.eqv", "List.IsRotated.forall", "List.IsRotated.map", "List.IsRotated.mem_iff", "List.IsRotated.nodup_iff", "List.IsRotated.perm", "List.IsRotated.reverse", "List.IsRotated.symm", "List.IsRotated.trans", "List.IsSuffix.eq_of_length", "List.IsSuffix.filter", "List.IsSuffix.isInfix", "List.IsSuffix.length_le", "List.IsSuffix.subset", "List.IsSuffix.trans", "List.IsZeckendorfRep.sum_fib_lt", "List.IsZeckendorfRep_nil", "List.Lex.append_left", "List.Lex.cons_iff", "List.Lex.imp", "List.Lex.ne_iff", "List.Lex.nil_left_or_eq_nil", "List.Lex.not_nil_right", "List.Lex.singleton_iff", "List.Lex.to_ne", "List.Mem.duplicate_cons_self", "List.Nat.antidiagonalTuple_one", "List.Nat.antidiagonalTuple_pairwise_pi_lex", "List.Nat.antidiagonalTuple_two", "List.Nat.antidiagonalTuple_zero_right", "List.Nat.antidiagonalTuple_zero_succ", "List.Nat.antidiagonalTuple_zero_zero", "List.Nat.antidiagonal_succ", "List.Nat.antidiagonal_succ'", "List.Nat.antidiagonal_succ_succ'", "List.Nat.length_antidiagonal", "List.Nat.map_swap_antidiagonal", "List.Nat.mem_antidiagonal", "List.Nat.mem_antidiagonalTuple", "List.Nat.nodup_antidiagonal", "List.Nat.nodup_antidiagonalTuple", "List.Nodup.concat", "List.Nodup.cons", "List.Nodup.cyclicPermutations", "List.Nodup.dedup", "List.Nodup.diff", "List.Nodup.diff_eq_filter", "List.Nodup.erase", "List.Nodup.erase_eq_filter", "List.Nodup.erase_get", "List.Nodup.erase_getElem", "List.Nodup.filter", "List.Nodup.getElem_inj_iff", "List.Nodup.insert", "List.Nodup.inter", "List.Nodup.isCycleOn_formPerm", "List.Nodup.length_le_card", "List.Nodup.map", "List.Nodup.map_on", "List.Nodup.map_update", "List.Nodup.mem_erase_iff", "List.Nodup.ne_singleton_iff", "List.Nodup.not_mem", "List.Nodup.not_mem_erase", "List.Nodup.nthLe_inj_iff", "List.Nodup.of_append_right", "List.Nodup.of_cons", "List.Nodup.of_map", "List.Nodup.pairwise_coe", "List.Nodup.pairwise_of_set_pairwise", "List.Nodup.perm_iff_eq_of_sublist", "List.Nodup.pmap", "List.Nodup.product", "List.Nodup.rotate_congr", "List.Nodup.rotate_congr_iff", "List.Nodup.rotate_eq_self_iff", "List.Nodup.set", "List.Nodup.sigma", "List.Nodup.subperm", "List.Nodup.sym", "List.Nodup.sym2", "List.Nodup.take_eq_filter_mem", "List.Nodup.union", "List.NodupKeys.eq_of_mk_mem", "List.NodupKeys.kerase", "List.NodupKeys.kunion", "List.NodupKeys.nodup", "List.NodupKeys.sublist", "List.Pairwise.and", "List.Pairwise.and_mem", "List.Pairwise.chain", "List.Pairwise.forall", "List.Pairwise.forall_of_forall", "List.Pairwise.forall_of_forall_of_flip", "List.Pairwise.iff", "List.Pairwise.imp", "List.Pairwise.imp_mem", "List.Pairwise.imp_of_mem", "List.Pairwise.imp\u2082", "List.Pairwise.nodup", "List.Pairwise.of_cons", "List.Pairwise.pmap", "List.Pairwise.sublists'", "List.Pairwise.tail", "List.Palindrome.append_reverse", "List.Palindrome.iff_reverse_eq", "List.Palindrome.of_reverse_eq", "List.Palindrome.reverse_eq", "List.Perm.append_cons", "List.Perm.append_left", "List.Perm.append_right", "List.Perm.bagInter", "List.Perm.bagInter_left", "List.Perm.bagInter_right", "List.Perm.bind_left", "List.Perm.bind_right", "List.Perm.cons_inv", "List.Perm.countP_congr", "List.Perm.countP_eq", "List.Perm.count_eq", "List.Perm.dedup", "List.Perm.diff_left", "List.Perm.diff_right", "List.Perm.dropSlice_inter", "List.Perm.drop_inter", "List.Perm.eq_nil", "List.Perm.eqv", "List.Perm.eraseP", "List.Perm.filter", "List.Perm.filterMap", "List.Perm.foldl_eq", "List.Perm.foldl_eq'", "List.Perm.foldr_eq", "List.Perm.insert", "List.Perm.inter_append", "List.Perm.inter_left", "List.Perm.inter_right", "List.Perm.join", "List.Perm.join_congr", "List.Perm.kerase", "List.Perm.kreplace", "List.Perm.kunion", "List.Perm.kunion_left", "List.Perm.kunion_right", "List.Perm.length_eq", "List.Perm.map", "List.Perm.mem_iff", "List.Perm.merge", "List.Perm.nil_eq", "List.Perm.nodup_iff", "List.Perm.pairwise", "List.Perm.pairwise_iff", "List.Perm.permutations'", "List.Perm.pmap", "List.Perm.prod_eq", "List.Perm.prod_eq'", "List.Perm.product_left", "List.Perm.recOnSwap'", "List.Perm.rec_heq", "List.Perm.refl", "List.Perm.rfl", "List.Perm.sizeOf_eq_sizeOf", "List.Perm.subperm", "List.Perm.subperm_left", "List.Perm.subperm_right", "List.Perm.subset", "List.Perm.swap'", "List.Perm.sym2", "List.Perm.symm", "List.Perm.take_inter", "List.Perm.union", "List.Perm.union_left", "List.Perm.union_right", "List.Sorted.coe_getIso_apply", "List.Sorted.coe_getIso_symm_apply", "List.Sorted.get_mono", "List.Sorted.gt_of_ge", "List.Sorted.head!_le", "List.Sorted.insertionSort_eq", "List.Sorted.le_head!", "List.Sorted.lt_of_le", "List.Sorted.lt_ord_of_lt", "List.Sorted.merge", "List.Sorted.nodup", "List.Sorted.of_cons", "List.Sorted.orderedInsert", "List.Sorted.rel_get_of_le", "List.Sorted.rel_nthLe_of_le", "List.Sorted.rel_nthLe_of_lt", "List.Sorted.rel_of_mem_take_of_mem_drop", "List.Sorted.tail", "List.Sublist.append", "List.Sublist.append_left", "List.Sublist.append_right", "List.Sublist.countP_le", "List.Sublist.count_le", "List.Sublist.drop", "List.Sublist.eq_of_length", "List.Sublist.erase", "List.Sublist.eraseP", "List.Sublist.erase_diff_erase_sublist", "List.Sublist.filterMap", "List.Sublist.length_le", "List.Sublist.map", "List.Sublist.of_cons_cons", "List.Sublist.prod_dvd_prod", "List.Sublist.prod_le_prod'", "List.Sublist.refl", "List.Sublist.reverse", "List.Sublist.sublistForall\u2082", "List.Sublist.subperm", "List.Sublist.sym", "List.Sublist.sym2", "List.Sublist.tail", "List.Sublist.trans", "List.Subperm.cons_left", "List.Subperm.count_le", "List.Subperm.diff_right", "List.Subperm.exists_of_length_lt", "List.Subperm.length_le", "List.Subperm.perm_of_length_le", "List.Subperm.refl", "List.Subperm.subset", "List.Subperm.sym2", "List.Subperm.trans", "List.Subset.refl", "List.Subset.trans", "List.TFAE.out", "List.TProd.elim_mk", "List.TProd.elim_of_mem", "List.TProd.elim_of_ne", "List.TProd.elim_self", "List.TProd.ext", "List.TProd.mk_elim", "List.TProd.snd_mk", "List.aemeasurable_prod", "List.aemeasurable_prod'", "List.aestronglyMeasurable_prod", "List.aestronglyMeasurable_prod'", "List.all_iff_forall", "List.all_iff_forall_prop", "List.all_one_of_le_one_le_of_prod_eq_one", "List.alternatingProd_append", "List.alternatingProd_cons", "List.alternatingProd_cons'", "List.alternatingProd_cons_cons", "List.alternatingProd_cons_cons'", "List.alternatingProd_eq_finset_prod", "List.alternatingProd_nil", "List.alternatingProd_reverse", "List.alternatingProd_singleton", "List.any_iff_exists", "List.any_iff_exists_prop", "List.any_of_mem", "List.append_assoc", "List.append_cancel_left_eq", "List.append_cons_inj_of_not_mem", "List.append_eq", "List.append_eq_append_iff", "List.append_eq_has_append", "List.append_eq_nil", "List.append_join_map_append", "List.append_left_eq_self", "List.append_left_injective", "List.append_ne_nil_of_ne_nil_right", "List.append_nil", "List.append_of_mem", "List.append_sublist_append_left", "List.append_sublist_append_right", "List.append_subset", "List.argAux_self", "List.argmax_concat", "List.argmax_cons", "List.argmax_eq_none", "List.argmax_mem", "List.argmax_singleton", "List.argmin_cons", "List.argmin_eq_none", "List.argmin_eq_some_iff", "List.argmin_nil", "List.argmin_singleton", "List.asString_eq", "List.attach_eq_nil", "List.attach_map_coe'", "List.bagInter_sublist_left", "List.bidirectionalRec_cons_append", "List.bidirectionalRec_nil", "List.bind_append_perm", "List.bind_cons", "List.bind_eq_bind", "List.bind_eq_nil", "List.bind_map", "List.bind_pure_eq_map", "List.bind_ret_eq_map", "List.chain'_append", "List.chain'_append_cons_cons", "List.chain'_cons", "List.chain'_iff_get", "List.chain'_iff_pairwise", "List.chain'_join", "List.chain'_map", "List.chain'_map_of_chain'", "List.chain'_nil", "List.chain'_pair", "List.chain'_range_succ", "List.chain'_reverse", "List.chain'_singleton", "List.chain'_split", "List.chain_append_cons_cons", "List.chain_append_singleton_iff_forall\u2082", "List.chain_cons", "List.chain_iff_forall\u2082", "List.chain_iff_get", "List.chain_lt_range'", "List.chain_map", "List.chain_map_of_chain", "List.chain_of_chain_cons", "List.chain_of_chain_map", "List.chain_of_chain_pmap", "List.chain_pmap_of_chain", "List.chain_range_succ", "List.chain_singleton", "List.chain_split", "List.chain_succ_range'", "List.choose_mem", "List.choose_spec", "List.coe_le_maximum_iff", "List.coe_maximum_of_length_pos", "List.coe_toFinset", "List.comp_map", "List.comp_traverse", "List.concat_eq_append", "List.concat_eq_reverse_cons", "List.concat_get_prefix", "List.concat_perm", "List.cons_append", "List.cons_bagInter_of_neg", "List.cons_bagInter_of_pos", "List.cons_diff", "List.cons_diff_of_mem", "List.cons_eq_append", "List.cons_eq_cons", "List.cons_getElem_drop_succ", "List.cons_get_drop_succ", "List.cons_head!_tail", "List.cons_inj_right", "List.cons_injective", "List.cons_le_cons", "List.cons_merge_cons", "List.cons_merge_cons_neg", "List.cons_merge_cons_pos", "List.cons_ne_nil", "List.cons_perm_iff_perm_erase", "List.cons_prefix_iff", "List.cons_sublist_cons'", "List.cons_subperm_of_mem", "List.cons_subperm_of_not_mem_of_mem", "List.cons_subset", "List.cons_subset_cons", "List.cons_subset_of_subset_of_mem", "List.cons_union", "List.continuousAt_length", "List.continuous_eraseIdx", "List.continuous_insertNth", "List.continuous_prod", "List.countP_append", "List.countP_attach", "List.countP_bind", "List.countP_bind'", "List.countP_cons", "List.countP_cons_of_neg", "List.countP_cons_of_pos", "List.countP_eq_countP_filter_add", "List.countP_eq_length", "List.countP_eq_length_filter", "List.countP_eq_zero", "List.countP_false", "List.countP_filter", "List.countP_go_eq_add", "List.countP_join", "List.countP_join'", "List.countP_le_length", "List.countP_map", "List.countP_mono_left", "List.countP_nil", "List.countP_pos", "List.countP_true", "List.count_add_count_not", "List.count_append", "List.count_attach", "List.count_bagInter", "List.count_bind", "List.count_bind'", "List.count_concat", "List.count_cons", "List.count_cons'", "List.count_cons_of_ne", "List.count_cons_self", "List.count_dedup", "List.count_eq_length", "List.count_eq_one_of_mem", "List.count_eq_zero", "List.count_eq_zero_of_not_mem", "List.count_erase", "List.count_erase_of_ne", "List.count_erase_self", "List.count_filter", "List.count_join", "List.count_join'", "List.count_le_count_cons", "List.count_le_count_map", "List.count_le_length", "List.count_map_of_injective", "List.count_nil", "List.count_not_add_count", "List.count_permutations'Aux_self", "List.count_pos_iff_mem", "List.count_replicate", "List.count_replicate_self", "List.count_singleton", "List.count_singleton'", "List.count_tail", "List.count_true_add_count_false", "List.cycleType_formPerm", "List.cyclicPermutations_eq_nil_iff", "List.cyclicPermutations_injective", "List.cyclicPermutations_ne_nil", "List.cyclicPermutations_nil", "List.cyclicPermutations_of_ne_nil", "List.cyclicPermutations_rotate", "List.dProdIndex_cons", "List.dProdIndex_eq_map_sum", "List.dProdIndex_nil", "List.dProd_cons", "List.dProd_monoid", "List.dProd_nil", "List.dedupKeys_cons", "List.dedup_append", "List.dedup_cons_of_mem", "List.dedup_cons_of_mem'", "List.dedup_cons_of_not_mem", "List.dedup_cons_of_not_mem'", "List.dedup_eq_cons", "List.dedup_eq_nil", "List.dedup_eq_self", "List.dedup_subset", "List.destutter'_cons_neg", "List.destutter'_cons_pos", "List.destutter'_is_chain'", "List.destutter'_of_chain", "List.destutter'_singleton", "List.destutter'_sublist", "List.destutter_eq_nil", "List.destutter_nil", "List.destutter_of_chain'", "List.destutter_pair", "List.destutter_singleton", "List.diff_append", "List.diff_cons", "List.diff_cons_right", "List.diff_eq_foldl", "List.diff_erase", "List.diff_nil", "List.diff_sublist", "List.diff_subset", "List.disjoint_append_left", "List.disjoint_append_right", "List.disjoint_comm", "List.disjoint_cons_left", "List.disjoint_cons_right", "List.disjoint_left", "List.disjoint_map", "List.disjoint_nil_left", "List.disjoint_nil_right", "List.disjoint_of_disjoint_cons_right", "List.disjoint_of_nodup_append", "List.disjoint_of_subset_left", "List.disjoint_of_subset_right", "List.disjoint_pmap", "List.disjoint_right", "List.disjoint_singleton", "List.disjoint_take_drop", "List.dlookup_cons_eq", "List.dlookup_cons_ne", "List.dlookup_dedupKeys", "List.dlookup_isSome", "List.dlookup_kerase", "List.dlookup_kinsert", "List.dlookup_kinsert_ne", "List.dlookup_kunion_eq_some", "List.dlookup_kunion_left", "List.dlookup_kunion_right", "List.doubleton_eq", "List.dropLast_append_getLast", "List.dropLast_append_getLast?", "List.dropLast_cons\u2082", "List.dropLast_prefix", "List.dropSlice_eq", "List.dropSlice_eq_dropSliceTR", "List.dropSlice_sublist", "List.dropSlice_subset", "List.dropSlice_zero\u2082", "List.dropWhile_eq_nil_iff", "List.dropWhile_eq_self_iff", "List.dropWhile_idempotent", "List.dropWhile_nthLe_zero_not", "List.dropWhile_suffix", "List.drop_append_eq_append_drop", "List.drop_append_of_le_length", "List.drop_drop", "List.drop_eq_getElem_cons", "List.drop_eq_nil_of_le", "List.drop_length", "List.drop_one", "List.drop_set_of_lt", "List.drop_sublist", "List.drop_sublist_drop_left", "List.drop_subset", "List.drop_sum_join", "List.drop_sum_join'", "List.drop_tail", "List.drop_take", "List.drop_take_succ_eq_cons_get", "List.drop_take_succ_eq_cons_getElem", "List.drop_take_succ_eq_cons_nthLe", "List.drop_take_succ_join_eq_get", "List.drop_take_succ_join_eq_getElem", "List.drop_take_succ_join_eq_getElem'", "List.duplicate_cons_iff", "List.duplicate_cons_iff_of_ne", "List.duplicate_cons_self_iff", "List.duplicate_iff_exists_distinct_get", "List.duplicate_iff_sublist", "List.duplicate_iff_two_le_count", "List.dvd_prod", "List.dvd_sum", "List.enumFrom_append", "List.enumFrom_cons'", "List.enumFrom_eq_nil", "List.enumFrom_eq_zip_range'", "List.enumFrom_map", "List.enumFrom_map_fst", "List.enumFrom_map_snd", "List.enumFrom_singleton", "List.enum_append", "List.enum_cons'", "List.enum_eq_nil", "List.enum_eq_zip_range", "List.enum_map", "List.enum_map_fst", "List.enum_map_snd", "List.eq_cons_of_length_one", "List.eq_cons_of_mem_head?", "List.eq_iff_join_eq", "List.eq_nil_of_length_eq_zero", "List.eq_nil_of_sublist_nil", "List.eq_of_length_one", "List.eq_of_mem_map_const", "List.eq_of_perm_of_sorted", "List.eq_of_prefix_of_length_eq", "List.eq_of_prod_take_eq", "List.eq_or_ne_mem_of_mem", "List.eq_replicate", "List.eq_replicate_length", "List.eq_replicate_of_mem", "List.eraseIdx_append_of_length_le", "List.eraseIdx_append_of_lt_length", "List.eraseIdx_eq_take_drop_succ", "List.eraseIdx_insertNth", "List.eraseIdx_subset", "List.eraseP_append_left", "List.eraseP_append_right", "List.eraseP_cons", "List.eraseP_cons_of_pos", "List.eraseP_eq_erasePTR", "List.eraseP_map", "List.eraseP_nil", "List.eraseP_of_forall_not", "List.eraseP_sublist", "List.erase_append_left", "List.erase_append_right", "List.erase_comm", "List.erase_cons_head", "List.erase_cons_subperm_cons_erase", "List.erase_cons_tail", "List.erase_diff_erase_sublist_of_sublist", "List.erase_eq_eraseP", "List.erase_eq_eraseP'", "List.erase_get", "List.erase_orderedInsert", "List.erase_orderedInsert_of_not_mem", "List.erase_sublist", "List.erase_subperm", "List.erase_subset", "List.exists_chain_of_relationReflTransGen", "List.exists_erase_eq", "List.exists_lt_of_prod_lt'", "List.exists_mem_cons_iff", "List.exists_mem_cons_of_exists", "List.exists_mem_ne_one_of_prod_ne_one", "List.exists_of_eraseP", "List.exists_of_kerase", "List.exists_of_mem_keys", "List.exists_of_modifyNthTail", "List.exists_of_replaceF", "List.exists_of_set", "List.exists_of_set'", "List.exists_perm_sublist", "List.exists_pw_disjoint_with_card", "List.exists_tfae", "List.ext_get", "List.ext_get?'", "List.ext_get?_iff", "List.ext_getElem", "List.ext_get_iff", "List.ext_nthLe", "List.extractP_eq_find?_eraseP", "List.fillNones_eq_fillNonesTR", "List.filterMap_congr", "List.filterMap_cons", "List.filterMap_eq_bind_toList", "List.filterMap_eq_map_iff_forall_eq_some", "List.filter_append_perm", "List.filter_attach", "List.filter_attach'", "List.filter_beq", "List.filter_beq'", "List.filter_comm", "List.filter_cons_of_neg", "List.filter_cons_of_pos", "List.filter_eq", "List.filter_eq'", "List.filter_eq_foldr", "List.filter_singleton", "List.filter_sublist", "List.filter_subset", "List.filter_true", "List.finRange_eq_nil", "List.finRange_map_get", "List.finRange_succ", "List.finRange_succ_eq_map", "List.finRange_zero", "List.findIdx?_append", "List.findIdx?_cons", "List.findIdx?_eq_some_iff", "List.findIdx?_nil", "List.findIdx?_of_eq_none", "List.findIdx?_of_eq_some", "List.findIdx?_replicate", "List.findIdx?_succ", "List.findIdx_cons", "List.findIdx_eq", "List.findIdx_eq_length", "List.findIdx_get", "List.findIdx_le_length", "List.findIdx_lt_length", "List.findIdx_lt_length_of_exists", "List.findIdx_nil", "List.findIdx_of_get?_eq_some", "List.findIdxs_cons", "List.findIdxs_cons_aux", "List.findIdxs_eq_map_indexesValues", "List.foldl1_eq_foldr1", "List.foldlIdxM_eq_foldlM_enum", "List.foldlIdxSpec_cons", "List.foldlIdx_eq_foldlIdxSpec", "List.foldlIdx_eq_foldl_enum", "List.foldlM_eq_foldl", "List.foldlRecOn_nil", "List.foldl_append", "List.foldl_argAux_eq_none", "List.foldl_argAux_mem", "List.foldl_assoc", "List.foldl_assoc_comm_cons", "List.foldl_concat", "List.foldl_cons", "List.foldl_const", "List.foldl_eq_foldr", "List.foldl_eq_foldr'", "List.foldl_eq_of_comm'", "List.foldl_eq_of_comm_of_assoc", "List.foldl_ext", "List.foldl_fixed'", "List.foldl_hom", "List.foldl_hom\u2082", "List.foldl_join", "List.foldl_map", "List.foldl_monotone", "List.foldl_nil", "List.foldl_op_eq_op_foldr_assoc", "List.foldl_range_eq_of_range_eq", "List.foldl_range_subset_of_range_subset", "List.foldrIdxM_eq_foldrM_enum", "List.foldrIdxSpec_cons", "List.foldrIdx_cons", "List.foldrIdx_eq_foldrIdxSpec", "List.foldrIdx_eq_foldr_enum", "List.foldrIdx_start", "List.foldrM_eq_foldr", "List.foldrRecOn_cons", "List.foldrRecOn_nil", "List.foldr_concat", "List.foldr_cons", "List.foldr_const", "List.foldr_eq_of_comm'", "List.foldr_eta", "List.foldr_ext", "List.foldr_fixed", "List.foldr_fixed'", "List.foldr_hom", "List.foldr_hom\u2082", "List.foldr_inf_eq_inf_toFinset", "List.foldr_join", "List.foldr_map", "List.foldr_max_of_ne_nil", "List.foldr_monotone", "List.foldr_permutationsAux2", "List.foldr_range_subset_of_range_subset", "List.foldr_reverse", "List.foldr_strictMono", "List.foldr_sup_eq_sup_toFinset", "List.forIn_eq_bindList", "List.forIn_eq_forIn", "List.forM_append", "List.forall_iff_forall_mem", "List.forall_mem_cons", "List.forall_mem_map_iff", "List.forall_mem_ne", "List.forall_mem_nil", "List.forall_mem_ofFn_iff", "List.forall_mem_of_forall_mem_cons", "List.forall_mem_of_forall_mem_union_left", "List.forall_mem_pwFilter", "List.forall_mem_union", "List.forall_tfae", "List.forall_zipWith", "List.forall\u2082_and_left", "List.forall\u2082_comp_perm_eq_perm_comp_forall\u2082", "List.forall\u2082_cons_left_iff", "List.forall\u2082_cons_right_iff", "List.forall\u2082_drop", "List.forall\u2082_drop_append", "List.forall\u2082_eq_eq_eq", "List.forall\u2082_iff_zip", "List.forall\u2082_map_left_iff", "List.forall\u2082_map_right_iff", "List.forall\u2082_nil_left_iff", "List.forall\u2082_nil_right_iff", "List.forall\u2082_of_length_eq_of_get", "List.forall\u2082_of_length_eq_of_nthLe", "List.forall\u2082_refl", "List.forall\u2082_reverse_iff", "List.forall\u2082_same", "List.forall\u2082_take", "List.forall\u2082_take_append", "List.forall\u2082_zip", "List.formPerm_append_pair", "List.formPerm_apply_get", "List.formPerm_apply_getElem", "List.formPerm_apply_getLast", "List.formPerm_apply_get_length", "List.formPerm_apply_get_zero", "List.formPerm_apply_head", "List.formPerm_apply_lt", "List.formPerm_apply_lt_getElem", "List.formPerm_apply_mem_eq_next", "List.formPerm_apply_mem_eq_self_iff", "List.formPerm_apply_mem_ne_self_iff", "List.formPerm_apply_mem_of_mem", "List.formPerm_apply_of_not_mem", "List.formPerm_cons_concat_apply_last", "List.formPerm_disjoint_iff", "List.formPerm_eq_formPerm_iff", "List.formPerm_eq_head_iff_eq_getLast", "List.formPerm_eq_of_isRotated", "List.formPerm_eq_one_iff", "List.formPerm_eq_self_of_not_mem", "List.formPerm_ext_iff", "List.formPerm_nil", "List.formPerm_pow_apply_getElem", "List.formPerm_pow_apply_head", "List.formPerm_pow_apply_nthLe", "List.formPerm_pow_length_eq_one_of_nodup", "List.formPerm_reverse", "List.formPerm_rotate", "List.formPerm_rotate_one", "List.formPerm_singleton", "List.form_perm_zpow_apply_mem_imp_mem", "List.fst_lt_add_of_mem_enumFrom", "List.fst_lt_of_mem_enum", "List.get?_eq_get", "List.get?_eq_getElem?", "List.get?_inj", "List.get?_iterate", "List.get?_length", "List.get?_map", "List.get?_modifyNth", "List.get?_modifyNth_eq", "List.get?_ofFn", "List.get?_pmap", "List.get?_range", "List.get?_rotate", "List.get?_set", "List.get?_set_eq_of_lt", "List.get?_set_ne", "List.get?_set_of_lt", "List.get?_succ_scanl", "List.get?_zip_eq_some", "List.get?_zip_with", "List.getD_append", "List.getD_append_right", "List.getD_eq_default", "List.getD_eq_get", "List.getD_eq_getD_get?", "List.getD_eq_getElem?", "List.getD_map", "List.getElem?_enum", "List.getElem?_enumFrom", "List.getElem?_eq_getElem", "List.getElem?_getD_replicate_default_eq", "List.getElem?_getD_singleton_default_eq", "List.getElem?_indexOf", "List.getElem?_inj", "List.getElem?_length", "List.getElem?_map", "List.getElem?_modifyNth", "List.getElem?_modifyNth_eq", "List.getElem?_modifyNth_ne", "List.getElem?_ofFn", "List.getElem?_pmap", "List.getElem?_range", "List.getElem?_range'", "List.getElem?_rotate", "List.getElem?_scanl_zero", "List.getElem?_set_eq'", "List.getElem?_set_eq_of_lt", "List.getElem?_zip_eq_some", "List.getElem?_zip_with", "List.getElem_attach", "List.getElem_cyclicPermutations", "List.getElem_drop'", "List.getElem_enum", "List.getElem_eq_getElem?", "List.getElem_eq_iff", "List.getElem_finRange", "List.getElem_indexOf", "List.getElem_inits", "List.getElem_insertNth_add_succ", "List.getElem_insertNth_of_lt", "List.getElem_insertNth_self", "List.getElem_iterate", "List.getElem_le_maximum_of_length_pos", "List.getElem_map", "List.getElem_map_rev", "List.getElem_ofFn", "List.getElem_ofFn_go", "List.getElem_permutations'Aux", "List.getElem_pmap", "List.getElem_range", "List.getElem_reverse_aux\u2082", "List.getElem_rotate", "List.getElem_scanl_zero", "List.getElem_set", "List.getElem_set_of_ne", "List.getElem_splitWrtComposition", "List.getElem_splitWrtCompositionAux", "List.getElem_zipWith", "List.getI_append", "List.getI_append_right", "List.getI_cons_zero", "List.getI_eq_default", "List.getI_eq_get", "List.getI_eq_iget_get?", "List.getI_nil", "List.getI_zero_eq_headI", "List.getLast?_append", "List.getLast?_append_cons", "List.getLast?_cons_cons", "List.getLast?_eq_getLast_of_ne_nil", "List.getLast?_eq_none", "List.getLastI_eq_getLast?", "List.getLast_append'", "List.getLast_append_singleton", "List.getLast_concat'", "List.getLast_cons", "List.getLast_eq_get", "List.getLast_filter", "List.getLast_mem", "List.getLast_pmap", "List.getLast_reverse", "List.getLast_singleton'", "List.get_append", "List.get_append_right'", "List.get_attach", "List.get_cyclicPermutations", "List.get_enum", "List.get_enumFrom", "List.get_eq_get?", "List.get_eq_getElem", "List.get_eq_get_rotate", "List.get_eq_iff", "List.get_finRange", "List.get_inits", "List.get_insertNth_add_succ", "List.get_insertNth_self", "List.get_iterate", "List.get_length_sub_one", "List.get_mem", "List.get_ofFn", "List.get_ofFn_go", "List.get_of_mem", "List.get_permutations'Aux", "List.get_pmap", "List.get_range", "List.get_range'", "List.get_reverse", "List.get_reverse'", "List.get_reverse_aux\u2081", "List.get_reverse_aux\u2082", "List.get_rotate", "List.get_singleton", "List.get_splitWrtComposition", "List.get_tails", "List.get_zip", "List.get_zipWith", "List.head!_append", "List.head!_cons", "List.head!_eq_head?", "List.head!_le_of_lt", "List.head!_mem_head?", "List.head!_mem_self", "List.head?_append", "List.head?_append_of_ne_nil", "List.head?_cyclicPermutations", "List.head?_eq_head", "List.head?_lookupAll", "List.head?_map", "List.head?_rotate", "List.headD_cons", "List.headI_add_tail_sum", "List.headI_cons", "List.headI_le_sum", "List.headI_nil", "List.head_cons", "List.head_cons_tail", "List.head_cyclicPermutations", "List.head_replicate", "List.id_traverse", "List.indexOf_append_of_mem", "List.indexOf_append_of_not_mem", "List.indexOf_cons", "List.indexOf_cons_eq", "List.indexOf_cons_ne", "List.indexOf_cons_self", "List.indexOf_eq_length", "List.indexOf_finRange", "List.indexOf_getElem", "List.indexOf_inj", "List.indexOf_le_length", "List.indexOf_lt_length", "List.indexOf_mem_indexesOf", "List.indexOf_nil", "List.indexOf_of_not_mem", "List.index_of_argmax", "List.index_of_argmin", "List.indexesOf_cons", "List.indexesOf_nil", "List.indexesValues_eq_filter_enum", "List.infix_append'", "List.infix_bind_of_mem", "List.infix_concat", "List.infix_cons", "List.infix_cons_iff", "List.infix_iff_prefix_suffix", "List.infix_insert", "List.infix_nil", "List.infix_refl", "List.inits_eq_initsTR", "List.inits_eq_tails", "List.inits_reverse", "List.injOn_insertNth_index_of_not_mem", "List.inj_on_of_nodup_map", "List.injective_foldl_comp", "List.injective_permutations'Aux", "List.insertNthTR_go_eq", "List.insertNth_comm", "List.insertNth_eq_insertNthTR", "List.insertNth_eraseIdx_of_ge", "List.insertNth_eraseIdx_of_le", "List.insertNth_injective", "List.insertNth_length_self", "List.insertNth_of_length_lt", "List.insertNth_succ_cons", "List.insertNth_succ_nil", "List.insertNth_zero", "List.insert_eq_ite", "List.insert_neg", "List.insert_of_mem", "List.insert_of_not_mem", "List.insert_pos", "List.insertionSort_cons_eq_take_drop", "List.inter_cons_of_mem", "List.inter_cons_of_not_mem", "List.inter_eq_nil_iff_disjoint", "List.inter_nil", "List.inter_reverse", "List.inter_subset_left", "List.intercalate_splitOn", "List.intersperse_cons_cons", "List.intersperse_singleton", "List.iota_eq_reverse_range'", "List.isCycle_formPerm", "List.isEmpty_iff_eq_nil", "List.isPerm_iff", "List.isRotated_append", "List.isRotated_comm", "List.isRotated_concat", "List.isRotated_cyclicPermutations_iff", "List.isRotated_iff_mem_map_range", "List.isRotated_iff_mod", "List.isRotated_next_eq", "List.isRotated_nil_iff'", "List.isRotated_reverse_comm_iff", "List.isRotated_reverse_iff", "List.isRotated_singleton_iff", "List.isRotated_singleton_iff'", "List.isSublist_iff_sublist", "List.isSubperm_iff", "List.iterateTR_loop_eq", "List.iterate_add", "List.iterate_eq_iterateTR", "List.iterate_eq_nil", "List.join_append", "List.join_concat", "List.join_drop_length_sub_one", "List.join_eq_nil", "List.join_filter_ne_nil", "List.join_filter_not_isEmpty", "List.join_join", "List.join_reverse", "List.join_splitWrtCompositionAux", "List.kerase_append_left", "List.kerase_append_right", "List.kerase_comm", "List.kerase_cons_eq", "List.kerase_cons_ne", "List.kerase_kerase", "List.kerase_nil", "List.kerase_of_not_mem_keys", "List.kerase_sublist", "List.kextract_eq_dlookup_kerase", "List.keys_cons", "List.keys_kerase", "List.keys_kreplace", "List.keys_nil", "List.kinsert_nodupKeys", "List.kreplace_nodupKeys", "List.kreplace_of_forall_not", "List.kreplace_self", "List.kunion_cons", "List.kunion_kerase", "List.kunion_nil", "List.last_ofFn", "List.last_ofFn_succ", "List.le_count_iff_replicate_sublist", "List.le_eq_not_gt", "List.le_findIdx_of_not", "List.le_fst_of_mem_enumFrom", "List.le_max_of_le", "List.le_maximum_of_length_pos_iff", "List.le_maximum_of_length_pos_of_mem", "List.le_maximum_of_mem'", "List.le_minimum_of_forall_le", "List.le_of_mem_argmax", "List.le_of_mem_argmin", "List.left_mem_of_mk_mem_sym2", "List.leftpad_eq_leftpadTR", "List.leftpad_length", "List.leftpad_prefix", "List.leftpad_suffix", "List.length_append", "List.length_attach", "List.length_bind", "List.length_bind'", "List.length_cons", "List.length_cyclicPermutations_cons", "List.length_cyclicPermutations_of_ne_nil", "List.length_eq_countP_add_countP", "List.length_eq_length_filter_add", "List.length_eq_reduceOption_length_add_filter_none", "List.length_eq_three", "List.length_eq_two", "List.length_eq_zero", "List.length_eraseIdx", "List.length_eraseIdx_add_one", "List.length_eraseP_add_one", "List.length_eraseP_of_mem", "List.length_erase_add_one", "List.length_erase_of_mem", "List.length_filter_lt_length_iff_exists", "List.length_finRange", "List.length_foldr_permutationsAux2", "List.length_foldr_permutationsAux2'", "List.length_inits", "List.length_injective_iff", "List.length_insertNth", "List.length_insertNth_le_succ", "List.length_iterate", "List.length_join", "List.length_join'", "List.length_le_length_insertNth", "List.length_le_sum_of_one_le", "List.length_lookmap", "List.length_map", "List.length_mapAccumr\u2082", "List.length_mapIdx", "List.length_mem_cyclicPermutations", "List.length_merge", "List.length_mergeSort", "List.length_modifyNth", "List.length_modifyNthTail", "List.length_nil", "List.length_ofFn", "List.length_ofFn_go", "List.length_of_sublistsLen", "List.length_permutations", "List.length_permutationsAux", "List.length_permutationsAux2", "List.length_pmap", "List.length_pos_iff_ne_nil", "List.length_pos_of_mem_splitWrtComposition", "List.length_pos_of_prod_lt_one", "List.length_pos_of_prod_ne_one", "List.length_product", "List.length_range", "List.length_range'", "List.length_replaceF", "List.length_replicate", "List.length_reverse", "List.length_revzip", "List.length_rotate", "List.length_scanl", "List.length_sigma", "List.length_sigma'", "List.length_singleton", "List.length_splitWrtComposition", "List.length_splitWrtCompositionAux", "List.length_split_le", "List.length_split_lt", "List.length_split_snd_le", "List.length_sublists", "List.length_sublists'", "List.length_sublistsLen", "List.length_sym", "List.length_sym2", "List.length_tail", "List.length_tails", "List.length_take", "List.length_toAssocList", "List.length_zipWith", "List.list_reverse_induction", "List.lookmap.go_append", "List.lookmap_congr", "List.lookmap_cons_none", "List.lookmap_cons_some", "List.lookmap_id'", "List.lookmap_nil", "List.lookmap_of_forall_not", "List.lookmap_some", "List.lookupAll_cons_eq", "List.lookupAll_cons_ne", "List.lookupAll_eq_dlookup", "List.lookupAll_eq_nil", "List.lookupAll_length_le_one", "List.lookupAll_nil", "List.lookupAll_nodup", "List.lookupAll_sublist", "List.lookup_ext", "List.lookup_graph", "List.lt_findIdx_of_not", "List.lt_iff_lex_lt", "List.lt_length_left_of_zipWith", "List.lt_length_right_of_zip", "List.lt_length_right_of_zipWith", "List.mapAccumr_eq_foldr", "List.mapAccumr\u2082_eq_foldr", "List.mapIdxGo_append", "List.mapIdxGo_length", "List.mapIdxMAux'_eq_mapIdxMGo", "List.mapIdxMGo_eq_mapIdxMAuxSpec", "List.mapIdxM_eq_mmap_enum", "List.mapIdx_append", "List.mapIdx_append_one", "List.mapIdx_cons", "List.mapIdx_eq_enum_map", "List.mapIdx_eq_nil", "List.mapIdx_eq_ofFn", "List.mapIdx_nil", "List.map_add_range'", "List.map_append", "List.map_append_bind_perm", "List.map_bijective_iff", "List.map_bind", "List.map_coe_finRange", "List.map_comp_map", "List.map_cons", "List.map_const'", "List.map_diff", "List.map_dlookup_eq_find", "List.map_enumFrom_eq_zipWith", "List.map_eq_bind", "List.map_eq_map", "List.map_eq_nil", "List.map_erase", "List.map_foldl_erase", "List.map_fst_add_enumFrom_eq_enumFrom", "List.map_get_sublist", "List.map_id", "List.map_id'", "List.map_injective_iff", "List.map_leftInverse_iff", "List.map_length_splitWrtComposition", "List.map_length_splitWrtCompositionAux", "List.map_map", "List.map_map_permutations'Aux", "List.map_map_permutationsAux2", "List.map_nil", "List.map_ofFn", "List.map_permutations", "List.map_permutations'", "List.map_permutationsAux", "List.map_permutationsAux2", "List.map_permutationsAux2'", "List.map_pmap", "List.map_prod_left_eq_zip", "List.map_prod_right_eq_zip", "List.map_pure_sublist_sublists", "List.map_reverse", "List.map_reverseAux", "List.map_reverse_inits", "List.map_reverse_tails", "List.map_rotate", "List.map_singleton", "List.map_sub_range'", "List.map_subset", "List.map_subset_iff", "List.map_tail", "List.map_uncurry_zip_eq_zipWith", "List.map\u2082Left_eq_map\u2082Left'", "List.map\u2082Right'_nil_cons", "List.map\u2082Right_cons_cons", "List.map\u2082Right_eq_map\u2082Right'", "List.map\u2082Right_eq_zipWith", "List.max_le_of_forall_le", "List.maximum_concat", "List.maximum_cons", "List.maximum_eq_coe_iff", "List.maximum_le_of_forall_le", "List.maximum_ne_bot_of_length_pos", "List.maximum_ne_bot_of_ne_nil", "List.maximum_nil", "List.maximum_of_length_pos_mem", "List.measurable_prod", "List.measurable_prod'", "List.mem_append", "List.mem_append_left", "List.mem_argmax_iff", "List.mem_argmin_iff", "List.mem_bagInter", "List.mem_bind", "List.mem_cons", "List.mem_cons_eq", "List.mem_cons_of_mem", "List.mem_cons_self", "List.mem_cyclicPermutations_iff", "List.mem_cyclicPermutations_self", "List.mem_dedup", "List.mem_destutter'", "List.mem_diff_of_mem", "List.mem_dlookup", "List.mem_dlookup_iff", "List.mem_dlookup_kunion", "List.mem_dlookup_kunion_middle", "List.mem_enumFrom", "List.mem_eraseIdx_iff_get?", "List.mem_eraseIdx_iff_getElem", "List.mem_eraseIdx_iff_getElem?", "List.mem_eraseP_of_neg", "List.mem_erase_of_ne", "List.mem_ext", "List.mem_filterMap", "List.mem_filter_of_mem", "List.mem_finRange", "List.mem_foldr_permutationsAux2", "List.mem_foldr_sup_support_iff", "List.mem_getLast?_cons", "List.mem_getLast?_eq_getLast", "List.mem_iff_get", "List.mem_iff_nthLe", "List.mem_inits", "List.mem_insertNth", "List.mem_inter_of_mem_of_mem", "List.mem_iota", "List.mem_iterate", "List.mem_join", "List.mem_keys", "List.mem_keys_kerase_of_ne", "List.mem_keys_kinsert", "List.mem_keys_kunion", "List.mem_keys_of_mem", "List.mem_lookupAll", "List.mem_map", "List.mem_map_of_injective", "List.mem_map_of_involutive", "List.mem_map_of_mem", "List.mem_map_swap", "List.mem_mem_ranges_iff_lt_natSum", "List.mem_merge", "List.mem_merge_left", "List.mem_ofFn", "List.mem_of_formPerm_apply_mem", "List.mem_of_formPerm_apply_ne", "List.mem_of_formPerm_ne_self", "List.mem_of_mem_drop", "List.mem_of_mem_erase", "List.mem_of_mem_filter", "List.mem_of_mem_head?", "List.mem_of_mem_inter_left", "List.mem_of_mem_inter_right", "List.mem_of_mem_of_mem_sym", "List.mem_of_mem_tail", "List.mem_of_mem_take", "List.mem_or_eq_of_mem_set", "List.mem_or_mem_of_zipWith_swap_prod_ne", "List.mem_orderedInsert", "List.mem_pair", "List.mem_permutations'", "List.mem_permutationsAux2", "List.mem_permutationsAux2'", "List.mem_permutationsAux_of_perm", "List.mem_permutations_of_perm_lemma", "List.mem_pmap", "List.mem_product", "List.mem_range", "List.mem_range'", "List.mem_range'_1", "List.mem_reverse", "List.mem_rotate", "List.mem_rtakeWhile_imp", "List.mem_sections", "List.mem_sections_length", "List.mem_sigma", "List.mem_singleton", "List.mem_sublists", "List.mem_sublists'", "List.mem_sublistsLen", "List.mem_sublistsLen_self", "List.mem_sym2_cons_iff", "List.mem_sym2_iff", "List.mem_tails", "List.mem_takeWhile_imp", "List.mem_toArray", "List.mem_toFinset", "List.mem_traverse", "List.mem_union_iff", "List.mem_union_left", "List.mem_zip", "List.mem_zip_inits_tails", "List.mergeSort_cons_cons", "List.mergeSort_eq_insertionSort", "List.mergeSort_nil", "List.mergeSort_singleton", "List.merge_loop", "List.merge_loop_nil_left", "List.merge_loop_nil_right", "List.merge_nil", "List.min_le_of_le", "List.minimum_cons", "List.minimum_eq_top", "List.minimum_le_coe_iff", "List.minimum_mem", "List.minimum_nil", "List.minimum_not_lt_of_mem", "List.minimum_of_length_pos_le_getElem", "List.minimum_of_length_pos_le_iff", "List.minimum_of_length_pos_le_of_mem", "List.minimum_of_length_pos_mem", "List.minimum_singleton", "List.mk_add_mem_enumFrom_iff_get?", "List.mk_mem_enumFrom_iff_le_and_get?_sub", "List.mk_mem_enum_iff_get?", "List.mk_mem_sym2", "List.mk_mem_sym2_iff", "List.modifyHead_cons", "List.modifyHead_nil", "List.modifyLast.go_append_one", "List.modifyLast_append", "List.modifyLast_append_one", "List.modifyNthTail_eq_take_drop", "List.modifyNthTail_id", "List.modifyNthTail_modifyNthTail", "List.modifyNthTail_modifyNthTail_le", "List.modifyNthTail_modifyNthTail_same", "List.modifyNth_eq_set", "List.modifyNth_eq_set_get", "List.modifyNth_eq_take_cons_drop", "List.modifyNth_eq_take_drop", "List.modifyNth_zero_cons", "List.modify_get?_length", "List.monotone_filter_left", "List.monotone_filter_right", "List.monotone_prod_take", "List.naturality", "List.ne_nil_of_mem", "List.ne_of_not_mem_cons", "List.neg_one_mem_of_prod_eq_neg_one", "List.new_def_eq_old_def", "List.nextOr_concat", "List.nextOr_cons_of_ne", "List.nextOr_eq_nextOr_of_mem_of_ne", "List.nextOr_mem", "List.nextOr_nil", "List.nextOr_self_cons_cons", "List.nextOr_singleton", "List.next_cons_concat", "List.next_cons_cons_eq", "List.next_cons_cons_eq'", "List.next_get", "List.next_getLast_cons", "List.next_mem", "List.next_ne_head_ne_getLast", "List.next_nthLe", "List.next_prev", "List.next_reverse_eq_prev", "List.next_singleton", "List.nil_append", "List.nil_bagInter", "List.nil_diff", "List.nil_eq_append", "List.nil_eq_rotate_iff", "List.nil_infix", "List.nil_kunion", "List.nil_le", "List.nil_lt_cons", "List.nil_prefix", "List.nil_sublist", "List.nil_subperm", "List.nil_subset", "List.nil_suffix", "List.nil_union", "List.nil_zipWith", "List.nnnorm_prod", "List.nnnorm_prod_le", "List.nnnorm_prod_le'", "List.nodupKeys_cons", "List.nodupKeys_dedupKeys", "List.nodupKeys_iff_pairwise", "List.nodupKeys_join", "List.nodupKeys_nil", "List.nodup_append", "List.nodup_append_comm", "List.nodup_attach", "List.nodup_bind", "List.nodup_cons", "List.nodup_dedup", "List.nodup_finRange", "List.nodup_iff_count_le_one", "List.nodup_iff_forall_not_duplicate", "List.nodup_iff_get?_ne_get?", "List.nodup_iff_getElem?_ne_getElem?", "List.nodup_iff_injective_get", "List.nodup_iff_injective_getElem", "List.nodup_iff_sublist", "List.nodup_iota", "List.nodup_join", "List.nodup_map_iff", "List.nodup_middle", "List.nodup_nil", "List.nodup_ofFn", "List.nodup_ofFn_ofInjective", "List.nodup_permutations", "List.nodup_permutations'Aux_iff", "List.nodup_permutations'Aux_of_not_mem", "List.nodup_range", "List.nodup_range'", "List.nodup_replicate", "List.nodup_reverse", "List.nodup_singleton", "List.nodup_sublists'", "List.nodup_sublistsLen", "List.norm_prod", "List.norm_prod_le", "List.norm_prod_le'", "List.not_duplicate_nil", "List.not_duplicate_singleton", "List.not_exists_mem_nil", "List.not_lt_maximum_of_mem", "List.not_lt_maximum_of_mem'", "List.not_lt_of_mem_argmax", "List.not_mem_keys", "List.not_mem_keys_kerase", "List.not_mem_keys_of_nodupKeys_cons", "List.not_mem_nil", "List.not_mem_range_self", "List.not_nodup_of_get_eq_of_ne", "List.not_nodup_pair", "List.not_of_lt_findIdx", "List.not_of_mem_foldl_argAux", "List.not_perm_nil_cons", "List.nthLe_append_right", "List.nthLe_cons", "List.nthLe_cons_length", "List.nthLe_insertNth_add_succ", "List.nthLe_insertNth_of_lt", "List.nthLe_insertNth_self", "List.nthLe_map", "List.nthLe_map'", "List.nthLe_mapIdx", "List.nthLe_map_rev", "List.nthLe_ofFn", "List.nthLe_of_mem", "List.nthLe_permutations'Aux", "List.nthLe_pmap", "List.nthLe_range", "List.nthLe_range'", "List.nthLe_range'_1", "List.nthLe_reverse'", "List.nthLe_rotate", "List.nthLe_rotate'", "List.nthLe_rotate_one", "List.nthLe_singleton", "List.nthLe_succ_scanl", "List.nthLe_tail", "List.nthLe_zero_scanl", "List.nthLe_zipWith", "List.nth_le_inits", "List.nth_le_tails", "List.ofFnRec_ofFn", "List.ofFn_add", "List.ofFn_congr", "List.ofFn_const", "List.ofFn_eq_map", "List.ofFn_eq_nil_iff", "List.ofFn_eq_ofFnTR", "List.ofFn_eq_pmap", "List.ofFn_fin_append", "List.ofFn_fin_repeat", "List.ofFn_get", "List.ofFn_getElem", "List.ofFn_getElem_eq_map", "List.ofFn_get_eq_map", "List.ofFn_id", "List.ofFn_inj'", "List.ofFn_injective", "List.ofFn_mul", "List.ofFn_mul'", "List.ofFn_succ", "List.ofFn_succ'", "List.ofFn_zero", "List.of_mem_dlookup", "List.of_mem_filter", "List.oldMapIdxCore_append", "List.oldMapIdxCore_eq", "List.oldMapIdx_append", "List.one_le_prod_of_one_le", "List.one_lt_prod_of_one_lt", "List.or_exists_of_exists_mem_cons", "List.orderedInsert_count", "List.orderedInsert_eq_take_drop", "List.orderedInsert_erase", "List.orderedInsert_length", "List.orderedInsert_nil", "List.pair_mem_product", "List.pairwiseDisjoint_iff_coe_toFinset_pairwise_disjoint", "List.pairwise_and_iff", "List.pairwise_append", "List.pairwise_append_comm", "List.pairwise_bind", "List.pairwise_cons", "List.pairwise_filter", "List.pairwise_filterMap", "List.pairwise_gt_iota", "List.pairwise_iff_forall_sublist", "List.pairwise_iff_getElem", "List.pairwise_iff_nthLe", "List.pairwise_join", "List.pairwise_le_finRange", "List.pairwise_le_range", "List.pairwise_lt_range", "List.pairwise_map", "List.pairwise_map'", "List.pairwise_middle", "List.pairwise_ofFn", "List.pairwise_of_coe_toFinset_pairwise", "List.pairwise_of_forall", "List.pairwise_of_reflexive_on_dupl_of_forall_ne", "List.pairwise_pmap", "List.pairwise_pwFilter", "List.pairwise_replicate", "List.pairwise_reverse", "List.pairwise_sameCycle_formPerm", "List.pairwise_singleton", "List.pairwise_sublists", "List.periodic_prod", "List.perm_append_comm", "List.perm_append_left_iff", "List.perm_append_right_iff", "List.perm_append_singleton", "List.perm_comm", "List.perm_comp_forall\u2082", "List.perm_comp_perm", "List.perm_cons", "List.perm_cons_erase", "List.perm_dlookup", "List.perm_ext_iff_of_nodup", "List.perm_iff_count", "List.perm_insertNth", "List.perm_insert_swap", "List.perm_insertionSort", "List.perm_inv_core", "List.perm_lookmap", "List.perm_lookupAll", "List.perm_merge", "List.perm_mergeSort", "List.perm_middle", "List.perm_nil", "List.perm_nodupKeys", "List.perm_of_mem_permutationsAux", "List.perm_of_nodup_nodup_toFinset_eq", "List.perm_option_to_list", "List.perm_orderedInsert", "List.perm_permutations'Aux_comm", "List.perm_permutations'_iff", "List.perm_permutations_iff", "List.perm_replicate", "List.perm_replicate_append_replicate", "List.perm_rfl", "List.perm_singleton", "List.perm_split", "List.permutations'Aux_eq_permutationsAux2", "List.permutations'Aux_get_zero", "List.permutationsAux2_append", "List.permutationsAux2_comp_append", "List.permutationsAux2_fst", "List.permutationsAux2_snd_cons", "List.permutationsAux2_snd_eq", "List.permutationsAux2_snd_nil", "List.permutationsAux_append", "List.permutationsAux_cons", "List.permutationsAux_nil", "List.permutations_append", "List.permutations_nil", "List.permutations_perm_permutations'", "List.pmap_append", "List.pmap_append'", "List.pmap_congr", "List.pmap_eq_map", "List.pmap_eq_map_attach", "List.pmap_eq_nil", "List.pmap_map", "List.pmap_next_eq_rotate_one", "List.pmap_prev_eq_rotate_length_sub_one", "List.prefix_append", "List.prefix_append_right_inj", "List.prefix_concat_iff", "List.prefix_cons_inj", "List.prefix_iff_eq_append", "List.prefix_of_prefix_length_le", "List.prefix_refl", "List.prefix_rfl", "List.prefix_take_iff", "List.prefix_take_le_iff", "List.prev_cons_cons_eq'", "List.prev_cons_cons_of_ne'", "List.prev_getLast_cons", "List.prev_getLast_cons'", "List.prev_mem", "List.prev_ne_cons_cons", "List.prev_next", "List.prev_nthLe", "List.prev_reverse_eq_next", "List.prev_singleton", "List.prod_append", "List.prod_concat", "List.prod_cons", "List.prod_drop_succ", "List.prod_eq_foldr", "List.prod_eq_one", "List.prod_eq_one_iff", "List.prod_eq_pow_card", "List.prod_eq_pow_single", "List.prod_eq_zero", "List.prod_eq_zero_iff", "List.prod_erase", "List.prod_erase_of_comm", "List.prod_hom", "List.prod_hom_rel", "List.prod_hom\u2082", "List.prod_induction", "List.prod_int_mod", "List.prod_inv", "List.prod_isUnit", "List.prod_isUnit_iff", "List.prod_join", "List.prod_le_pow_card", "List.prod_le_prod'", "List.prod_lt_prod'", "List.prod_map_eq_pow_single", "List.prod_map_erase", "List.prod_map_hom", "List.prod_map_mul", "List.prod_map_neg", "List.prod_map_one", "List.prod_mul_prod_eq_prod_zipWith_mul_prod_drop", "List.prod_mul_prod_eq_prod_zipWith_of_length_eq", "List.prod_nat_mod", "List.prod_ne_zero", "List.prod_nil", "List.prod_ofFn", "List.prod_one_cons", "List.prod_pos", "List.prod_range_div", "List.prod_range_div'", "List.prod_range_succ", "List.prod_range_succ'", "List.prod_replicate", "List.prod_reverse", "List.prod_reverse_noncomm", "List.prod_rotate_eq_one_of_prod_eq_one", "List.prod_set", "List.prod_set'", "List.prod_take_mul_prod_drop", "List.prod_take_ofFn", "List.prod_take_succ", "List.prod_toFinset", "List.product_cons", "List.product_eq_productTR", "List.pure_def", "List.pwFilter_cons_of_pos", "List.pwFilter_eq_self", "List.pwFilter_idem", "List.pwFilter_map", "List.pwFilter_sublist", "List.range'_1_concat", "List.range'_append", "List.range'_concat", "List.range'_eq_map_range", "List.range'_eq_nil", "List.range'_eq_range'TR", "List.range'_one", "List.range'_sublist_right", "List.range'_subset_right", "List.range'_succ", "List.range_add", "List.range_bind_sublistsLen_perm", "List.range_eq_nil", "List.range_eq_range'", "List.range_loop_range'", "List.range_map_iterate", "List.range_sublist", "List.range_subset", "List.range_succ", "List.range_succ_eq_map", "List.ranges_disjoint", "List.ranges_join'", "List.ranges_length", "List.ranges_nodup", "List.rdropWhile_concat", "List.rdropWhile_concat_neg", "List.rdropWhile_concat_pos", "List.rdropWhile_eq_nil_iff", "List.rdropWhile_eq_self_iff", "List.rdropWhile_idempotent", "List.rdropWhile_last_not", "List.rdropWhile_nil", "List.rdropWhile_prefix", "List.rdropWhile_singleton", "List.rdrop_add", "List.rdrop_append_length", "List.rdrop_append_length_add", "List.rdrop_append_of_le_length", "List.rdrop_concat_succ", "List.rdrop_eq_reverse_drop_reverse", "List.rdrop_nil", "List.reduceOption_append", "List.reduceOption_concat", "List.reduceOption_concat_of_some", "List.reduceOption_cons_of_none", "List.reduceOption_cons_of_some", "List.reduceOption_get?_iff", "List.reduceOption_length_eq", "List.reduceOption_length_eq_iff", "List.reduceOption_length_le", "List.reduceOption_length_lt_iff", "List.reduceOption_map", "List.reduceOption_mem_iff", "List.reduceOption_nil", "List.reduceOption_singleton", "List.rel_append", "List.rel_filter", "List.rel_filterMap", "List.rel_foldl", "List.rel_foldr", "List.rel_join", "List.rel_map", "List.rel_mem", "List.rel_nodup", "List.rel_of_chain_cons", "List.rel_of_pairwise_cons", "List.rel_of_sorted_cons", "List.rel_perm_imp", "List.rel_prod", "List.rel_reverse", "List.rel_sections", "List.relationReflTransGen_of_exists_chain", "List.replaceF_cons_of_some", "List.replaceF_eq_replaceFTR", "List.replaceF_of_forall_none", "List.replicate_add", "List.replicate_count_eq_of_count_eq_length", "List.replicate_dedup", "List.replicate_left_inj", "List.replicate_left_injective", "List.replicate_perm", "List.replicate_right_inj", "List.replicate_right_inj'", "List.replicate_sublist_replicate", "List.replicate_succ", "List.reverseAux_eq", "List.reverseAux_nil", "List.reverseRecOn_concat", "List.reverse_append", "List.reverse_concat'", "List.reverse_cons", "List.reverse_cons'", "List.reverse_eq_iff", "List.reverse_foldl", "List.reverse_infix", "List.reverse_inj", "List.reverse_involutive", "List.reverse_join", "List.reverse_nil", "List.reverse_perm", "List.reverse_prefix", "List.reverse_range'", "List.reverse_reverse", "List.reverse_revzip", "List.reverse_rotate", "List.reverse_singleton", "List.reverse_suffix", "List.reverse_surjective", "List.revzip_map_fst", "List.revzip_sublists", "List.revzip_sublists'", "List.right_mem_of_mk_mem_sym2", "List.right_unique_forall\u2082'", "List.rotate'_eq_drop_append_take", "List.rotate'_length", "List.rotate'_length_mul", "List.rotate'_mod", "List.rotate'_nil", "List.rotate'_rotate'", "List.rotate_append_length_eq", "List.rotate_cons_succ", "List.rotate_eq_drop_append_take", "List.rotate_eq_drop_append_take_mod", "List.rotate_eq_iff", "List.rotate_eq_nil_iff", "List.rotate_eq_rotate'", "List.rotate_eq_self_iff_eq_replicate", "List.rotate_eq_singleton_iff", "List.rotate_injective", "List.rotate_length", "List.rotate_length_mul", "List.rotate_mod", "List.rotate_nil", "List.rotate_one_eq_self_iff_eq_replicate", "List.rotate_perm", "List.rotate_replicate", "List.rotate_reverse", "List.rotate_rotate", "List.rotate_singleton", "List.rotate_zero", "List.rtakeWhile_concat", "List.rtakeWhile_concat_neg", "List.rtakeWhile_concat_pos", "List.rtakeWhile_eq_nil_iff", "List.rtakeWhile_eq_self_iff", "List.rtakeWhile_idempotent", "List.rtakeWhile_nil", "List.rtakeWhile_suffix", "List.rtake_concat_succ", "List.rtake_eq_reverse_take_reverse", "List.rtake_nil", "List.rtake_zero", "List.scanlTR_go_eq", "List.scanl_cons", "List.scanl_eq_scanlTR", "List.scanl_nil", "List.scanr_cons", "List.sections_eq_nil_of_isEmpty", "List.sections_eq_sectionsTR", "List.self_eq_append_left", "List.self_mem_range_succ", "List.set_eq_modifyNth", "List.set_eq_take_cons_drop", "List.set_of_mem_cons", "List.sigma_cons", "List.sigma_eq_sigmaTR", "List.sigma_nil", "List.single_le_prod", "List.singleton_append", "List.singleton_disjoint", "List.singleton_eq", "List.singleton_eq_rotate_iff", "List.singleton_inj", "List.singleton_injective", "List.singleton_perm", "List.singleton_perm_singleton", "List.singleton_sublist", "List.singleton_subperm_iff", "List.sizeOf_dedupKeys", "List.sizeOf_dropSlice_lt", "List.sizeOf_kerase", "List.smul_sum", "List.snd_mem_of_mem_enumFrom", "List.sorted_lt_ofFn_iff", "List.sorted_mergeSort", "List.sorted_ofFn_iff", "List.sorted_singleton", "List.span.loop_eq_take_drop", "List.span_eq_take_drop", "List.splitAt_eq_take_drop", "List.splitOnP.go_acc", "List.splitOnP.go_ne_nil", "List.splitOnP_cons", "List.splitOnP_eq_single", "List.splitOnP_eq_splitOnPTR", "List.splitOnP_first", "List.splitOnP_nil", "List.splitOnP_spec", "List.splitOn_intercalate", "List.splitWrtCompositionAux_cons", "List.splitWrtComposition_join", "List.split_cons_of_eq", "List.stronglyMeasurable_prod", "List.stronglyMeasurable_prod'", "List.sublistForall\u2082_iff", "List.sublist_append_left", "List.sublist_append_of_sublist_right", "List.sublist_cons", "List.sublist_cons_of_sublist", "List.sublist_eq_map_get", "List.sublist_iff_exists_fin_orderEmbedding_get_eq", "List.sublist_iff_exists_orderEmbedding_get?_eq", "List.sublist_join", "List.sublist_of_cons_sublist", "List.sublist_of_orderEmbedding_get?_eq", "List.sublist_or_mem_of_sublist", "List.sublist_orderedInsert", "List.sublist_replicate_iff", "List.sublist_singleton", "List.sublist_suffix_of_union", "List.sublists'Aux_eq_array_foldl", "List.sublists'Aux_eq_map", "List.sublists'_cons", "List.sublists'_eq_sublists", "List.sublists'_eq_sublists'Aux", "List.sublists'_map", "List.sublists'_nil", "List.sublists'_reverse", "List.sublistsAux_eq_array_foldl", "List.sublistsAux_eq_bind", "List.sublistsLenAux_append", "List.sublistsLenAux_eq", "List.sublistsLen_length", "List.sublistsLen_one", "List.sublistsLen_sublist_of_sublist", "List.sublistsLen_sublist_sublists'", "List.sublistsLen_succ_cons", "List.sublistsLen_succ_nil", "List.sublistsLen_zero", "List.sublists_append", "List.sublists_concat", "List.sublists_cons", "List.sublists_cons_perm_append", "List.sublists_eq_sublists'", "List.sublists_eq_sublistsFast", "List.sublists_map", "List.sublists_nil", "List.sublists_perm_sublists'", "List.sublists_reverse", "List.sublists_singleton", "List.subperm_append_diff_self_of_count_le", "List.subperm_cons", "List.subperm_cons_diff", "List.subperm_cons_self", "List.subperm_ext_iff", "List.subperm_iff", "List.subperm_nil", "List.subperm_of_subset", "List.subperm_singleton_iff", "List.subset_append_of_subset_right", "List.subset_append_right", "List.subset_cons", "List.subset_cons_of_subset", "List.subset_def", "List.subset_insert", "List.subset_inter", "List.subset_nil", "List.subset_singleton_iff", "List.suffix_cons_iff", "List.suffix_iff_eq_append", "List.suffix_iff_eq_drop", "List.suffix_insert", "List.suffix_of_suffix_length_le", "List.suffix_refl", "List.suffix_rfl", "List.sum_const_nat", "List.sum_int_mod", "List.sum_le_foldr_max", "List.sum_map_count_dedup_eq_length", "List.sum_map_count_dedup_filter_eq_countP", "List.sum_map_mul_right", "List.sum_nat_mod", "List.sum_smul", "List.sum_take_map_length_splitWrtComposition", "List.sum_toFinset_count_eq_length", "List.sum_zipWith_distrib_left", "List.support_formPerm_le'", "List.support_formPerm_of_nodup", "List.support_formPerm_of_nodup'", "List.support_sum_eq", "List.support_sum_subset", "List.surjective_head!", "List.surjective_head?", "List.surjective_tail", "List.sym2_eq_nil_iff", "List.sym2_eq_sym_two", "List.sym_map", "List.sym_one_eq", "List.tail_append_of_ne_nil", "List.tail_append_singleton_of_ne_nil", "List.tail_cons", "List.tail_dedup", "List.tail_drop", "List.tail_nil", "List.tail_replicate", "List.tail_sublist", "List.tail_subset", "List.tail_suffix", "List.tail_sum", "List.tails_cons", "List.tails_eq_inits", "List.tails_eq_tailsTR", "List.tails_reverse", "List.takeDTR_go_eq", "List.takeD_eq_takeDTR", "List.takeD_left", "List.takeD_nil", "List.takeI_left", "List.takeI_left'", "List.takeList_eq_takeListTR", "List.takeWhile_append_dropWhile", "List.takeWhile_cons_of_neg", "List.takeWhile_eq_nil_iff", "List.takeWhile_eq_self_iff", "List.takeWhile_idem", "List.takeWhile_prefix", "List.takeWhile_takeWhile", "List.takeWhile\u2082_eq_takeWhile\u2082TR", "List.take_all_of_le", "List.take_append_eq_append_take", "List.take_append_of_le_length", "List.take_iterate", "List.take_left", "List.take_one_drop_eq_of_lt_length", "List.take_prefix", "List.take_range", "List.take_reverse", "List.take_set_of_lt", "List.take_subset", "List.take_succ", "List.take_sum_join", "List.take_sum_join'", "List.take_zero", "List.tendsto_cons", "List.tendsto_cons_iff", "List.tendsto_eraseIdx", "List.tendsto_insertNth", "List.tendsto_insertNth'", "List.tendsto_nhds", "List.tendsto_prod", "List.tfae_cons_cons", "List.tfae_cons_of_mem", "List.tfae_nil", "List.tfae_not_iff", "List.tfae_of_cycle", "List.tfae_of_forall", "List.tfae_singleton", "List.toFinset.ext", "List.toFinset.ext_iff", "List.toFinset_append", "List.toFinset_card_le", "List.toFinset_card_of_nodup", "List.toFinset_coe", "List.toFinset_eq", "List.toFinset_eq_iff_perm_dedup", "List.toFinset_eq_of_perm", "List.toFinset_nonempty_iff", "List.toFinset_replicate_of_ne_zero", "List.toFinset_reverse", "List.toFinset_surj_on", "List.toFinset_surjective", "List.toFinsupp_append", "List.toFinsupp_apply", "List.toFinsupp_apply_fin", "List.toFinsupp_apply_le", "List.toFinsupp_concat_eq_toFinsupp_add_single", "List.toFinsupp_cons_eq_single_add_embDomain", "List.toFinsupp_eq_sum_map_enum_single", "List.toFinsupp_nil", "List.toFinsupp_singleton", "List.toList_asString", "List.toList_toAssocList", "List.traverse_cons", "List.traverse_eq_map_id", "List.trop_minimum", "List.trop_sum", "List.unzip_cons", "List.unzip_enumFrom_eq_prod", "List.unzip_enum_eq_prod", "List.unzip_eq_map", "List.unzip_left", "List.unzip_revzip", "List.unzip_right", "List.unzip_swap", "List.unzip_zip", "List.unzip_zip_left", "List.unzip_zip_right", "List.zipLeft'_cons_cons", "List.zipLeft'_cons_nil", "List.zipLeft_cons_cons", "List.zipLeft_eq_zipLeft'", "List.zipRight'_cons_cons", "List.zipRight'_nil_cons", "List.zipRight'_nil_right", "List.zipRight_cons_cons", "List.zipWith3_same_left", "List.zipWith3_same_mid", "List.zipWith3_same_right", "List.zipWithLeft'_eq_zipWithLeft'TR", "List.zipWith_comm", "List.zipWith_comm_of_comm", "List.zipWith_congr", "List.zipWith_distrib_reverse", "List.zipWith_flip", "List.zipWith_map_left", "List.zipWith_nil", "List.zipWith_rotate_distrib", "List.zipWith_rotate_one", "List.zipWith_swap_prod_support", "List.zipWith_zipWith_left", "List.zipWith_zipWith_right", "List.zip_cons_cons", "List.zip_map", "List.zip_nil_right", "List.zip_of_prod", "List.zip_swap", "List.zip_unzip", "Lists'.Subset.trans", "Lists'.cons_subset", "Lists'.mem_cons", "Lists'.mem_of_subset", "Lists'.mem_of_subset'", "Lists'.ofList_subset", "Lists'.of_toList", "Lists'.subset_def", "Lists'.subset_nil", "Lists'.to_ofList", "Lists.Equiv.antisymm_iff", "Lists.Equiv.symm", "Lists.Equiv.trans", "Lists.equiv_atom", "Lists.isList_toList", "Lists.of_toList", "Lists.sizeof_pos", "Lists.to_ofList", "LittleWedderburn.InductionHyp.center_eq_top", "LittleWedderburn.center_eq_top", "LocalRing.CotangentSpace.map_eq_top_iff", "LocalRing.CotangentSpace.span_image_eq_top_iff", "LocalRing.PrimeSpectrum.comap_residue", "LocalRing.ResidueField.algebraMap_eq", "LocalRing.ResidueField.mapEquiv.symm", "LocalRing.ResidueField.mapEquiv_refl", "LocalRing.ResidueField.mapEquiv_trans", "LocalRing.ResidueField.map_id", "LocalRing.ResidueField.map_map", "LocalRing.ResidueField.map_residue", "LocalRing.closedPoint_mem_iff", "LocalRing.comap_closedPoint", "LocalRing.eq_maximalIdeal", "LocalRing.finrank_CotangentSpace_eq_one", "LocalRing.finrank_CotangentSpace_eq_one_iff", "LocalRing.finrank_cotangentSpace_eq_zero", "LocalRing.finrank_cotangentSpace_le_one_iff", "LocalRing.isLocalRingHom_iff_comap_closedPoint", "LocalRing.isLocalRingHom_residue", "LocalRing.isRegular_of_perm", "LocalRing.isUnit_of_mem_nonunits_one_sub_self", "LocalRing.isUnit_one_sub_self_of_mem_nonunits", "LocalRing.isUnit_or_isUnit_of_isUnit_add", "LocalRing.isUnit_or_isUnit_one_sub_self", "LocalRing.isWeaklyRegular_of_perm_of_subset_maximalIdeal", "LocalRing.le_maximalIdeal", "LocalRing.local_hom_TFAE", "LocalRing.maximalIdeal_eq_bot", "LocalRing.maximalIdeal_le_jacobson", "LocalRing.maximal_ideal_unique", "LocalRing.mem_maximalIdeal", "LocalRing.nonunits_add", "LocalRing.of_isUnit_or_isUnit_of_isUnit_add", "LocalRing.of_nonunits_add", "LocalRing.of_surjective", "LocalRing.of_surjective'", "LocalRing.of_unique_nonzero_prime", "LocalRing.specializes_closedPoint", "LocalRing.subsingleton_cotangentSpace_iff", "LocalRing.surjective_units_map_of_local_ringHom", "Locale.PT.isOpen_iff", "Localization.AtPrime.comap_maximalIdeal", "Localization.AtPrime.map_eq_maximalIdeal", "Localization.AtPrime.nilpotent_iff_mem_maximal_of_minimal", "Localization.AtPrime.nilpotent_iff_not_unit_of_minimal", "Localization.Away.mk_eq_monoidOf_mk'", "Localization.add_mk", "Localization.add_mk_self", "Localization.algEquiv_mk", "Localization.algEquiv_mk'", "Localization.algEquiv_symm_mk", "Localization.algEquiv_symm_mk'", "Localization.induction_on", "Localization.induction_on\u2082", "Localization.le_comap_primeCompl_iff", "Localization.liftOn_mk", "Localization.liftOn_mk'", "Localization.liftOn_zero", "Localization.liftOn\u2082_mk'", "Localization.localRingHom_comp", "Localization.localRingHom_id", "Localization.localRingHom_mk'", "Localization.localRingHom_to_map", "Localization.mapToFractionRing_apply", "Localization.map_isUnit_of_le", "Localization.mem_range_mapToFractionRing_iff", "Localization.mk_algebraMap", "Localization.mk_eq_mk'", "Localization.mk_eq_mk'_apply", "Localization.mk_eq_mk_iff", "Localization.mk_eq_mk_iff'", "Localization.mk_eq_monoidOf_mk'", "Localization.mk_eq_monoidOf_mk'_apply", "Localization.mk_intCast", "Localization.mk_le_mk", "Localization.mk_left_injective", "Localization.mk_lt_mk", "Localization.mk_mul", "Localization.mk_natCast", "Localization.mk_one", "Localization.mk_one_eq_algebraMap", "Localization.mk_one_eq_monoidOf_mk", "Localization.mk_pow", "Localization.mk_self", "Localization.mk_zero", "Localization.monoidOf_eq_algebraMap", "Localization.mulEquivOfQuotient_apply", "Localization.mulEquivOfQuotient_mk'", "Localization.mulEquivOfQuotient_monoidOf", "Localization.mulEquivOfQuotient_symm_mk", "Localization.mulEquivOfQuotient_symm_mk'", "Localization.ndrec_mk", "Localization.neg_mk", "Localization.one_rel", "Localization.r_eq_r'", "Localization.r_iff_exists", "Localization.r_of_eq", "Localization.smul_mk", "Localization.sub_mk", "Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField", "Localization.toLocalizationMap_eq_monoidOf", "LocalizedModule.add_assoc'", "LocalizedModule.add_comm'", "LocalizedModule.add_smul_aux", "LocalizedModule.add_zero'", "LocalizedModule.algebraMap_mk", "LocalizedModule.algebraMap_mk'", "LocalizedModule.divBy_mul_by", "LocalizedModule.induction_on", "LocalizedModule.induction_on\u2082", "LocalizedModule.lift'_add", "LocalizedModule.lift'_smul", "LocalizedModule.liftOn_mk", "LocalizedModule.lift_comp", "LocalizedModule.lift_mk", "LocalizedModule.lift_unique", "LocalizedModule.map_exact", "LocalizedModule.mk'_smul_mk", "LocalizedModule.mk_add_mk", "LocalizedModule.mk_cancel_common_left", "LocalizedModule.mk_cancel_common_right", "LocalizedModule.mk_eq", "LocalizedModule.mk_mul_mk", "LocalizedModule.mk_smul_mk", "LocalizedModule.mul_by_divBy", "LocalizedModule.mul_smul'", "LocalizedModule.mul_smul_aux", "LocalizedModule.nsmul_succ'", "LocalizedModule.nsmul_zero'", "LocalizedModule.one_smul_aux", "LocalizedModule.r.isEquiv", "LocalizedModule.smul'_mk", "LocalizedModule.smul'_mul", "LocalizedModule.smul_add_aux", "LocalizedModule.smul_def", "LocalizedModule.smul_zero_aux", "LocalizedModule.subsingleton", "LocalizedModule.zero_add'", "LocalizedModule.zero_mk", "LocalizedModule.zero_smul_aux", "LocallyBoundedMap.cancel_left", "LocallyBoundedMap.coe_comp", "LocallyBoundedMap.coe_id", "LocallyBoundedMap.coe_ofMapBounded", "LocallyBoundedMap.comp_apply", "LocallyBoundedMap.comp_assoc", "LocallyBoundedMap.id_comp", "LocallyBoundedVariationOn.ae_differentiableAt", "LocallyBoundedVariationOn.ae_differentiableWithinAt", "LocallyBoundedVariationOn.ae_differentiableWithinAt_of_mem", "LocallyBoundedVariationOn.ae_differentiableWithinAt_of_mem_pi", "LocallyBoundedVariationOn.ae_differentiableWithinAt_of_mem_real", "LocallyBoundedVariationOn.exists_monotoneOn_sub_monotoneOn", "LocallyCompactSpace.of_hasBasis", "LocallyConstant.apply_eq_of_preconnectedSpace", "LocallyConstant.charFn_eq_zero", "LocallyConstant.charFn_inj", "LocallyConstant.coe_algebraMap", "LocallyConstant.coe_comap", "LocallyConstant.coe_comap_apply", "LocallyConstant.coe_div", "LocallyConstant.coe_inj", "LocallyConstant.coe_injective", "LocallyConstant.coe_inv", "LocallyConstant.coe_mk", "LocallyConstant.coe_smul", "LocallyConstant.comap_id", "LocallyConstant.comap_injective", "LocallyConstant.congr_arg", "LocallyConstant.congr_fun", "LocallyConstant.div_apply", "LocallyConstant.exists_eq_const", "LocallyConstant.ext", "LocallyConstant.ext_iff", "LocallyConstant.ker_comap\u2097", "LocallyConstant.lift_comp_proj", "LocallyConstant.locallyConstant_eq_of_fiber_zero_eq", "LocallyConstant.map_apply", "LocallyConstant.map_comp", "LocallyConstant.mulIndicator_of_mem", "LocallyConstant.mulIndicator_of_not_mem", "LocallyConstant.ofIsClopen_fiber_one", "LocallyConstant.ofIsClopen_fiber_zero", "LocallyConstant.one_apply", "LocallyConstant.piecewise'_apply_left", "LocallyConstant.piecewise'_apply_right", "LocallyConstant.piecewise_apply_left", "LocallyConstant.piecewise_apply_right", "LocallyConstant.range_finite", "LocallyConstant.smul_apply", "LocallyConstant.toContinuousMap_injective", "LocallyConstant.toFun_eq_coe", "LocallyConvexSpace.convex_basis_zero", "LocallyConvexSpace.ofBases", "LocallyConvexSpace.ofBasisZero", "LocallyFinite.Realizer.to_locallyFinite", "LocallyFinite.closure", "LocallyFinite.closure_iUnion", "LocallyFinite.comp_injOn", "LocallyFinite.continuous", "LocallyFinite.continuousOn_iUnion", "LocallyFinite.continuousOn_iUnion'", "LocallyFinite.countable_univ", "LocallyFinite.eventually_subset", "LocallyFinite.exists_finset_mulSupport", "LocallyFinite.exists_finset_nhd_mulSupport_subset", "LocallyFinite.exists_forall_eventually_atTop_eventually_eq'", "LocallyFinite.exists_forall_eventually_eq_prod", "LocallyFinite.exists_mem_basis", "LocallyFinite.finite_nonempty_inter_compact", "LocallyFinite.finite_nonempty_of_compact", "LocallyFinite.iInter_compl_mem_nhds", "LocallyFinite.isClosed_iUnion", "LocallyFinite.nhdsWithin_iUnion", "LocallyFinite.option_elim'", "LocallyFinite.preimage_continuous", "LocallyFinite.prod_left", "LocallyFinite.smul_left", "LocallyFinite.smul_right", "LocallyFinite.subset", "LocallyLipschitz.comp", "LocallyLipschitz.const", "LocallyLipschitz.const_max", "LocallyLipschitz.const_min", "LocallyLipschitz.continuous", "LocallyLipschitz.id", "LocallyLipschitz.iterate", "LocallyLipschitz.max", "LocallyLipschitz.min_const", "LocallyLipschitz.mul_end", "LocallyLipschitz.pow_end", "LocallyLipschitz.prod", "LocallyLipschitz.prod_mk_right", "LowerAdjoint.closure_eq_self_of_mem_closed", "LowerAdjoint.closure_iSup_closure", "LowerAdjoint.closure_iSup\u2082_closure", "LowerAdjoint.closure_iUnion_closure", "LowerAdjoint.closure_inf_le", "LowerAdjoint.closure_le_closed_iff_le", "LowerAdjoint.closure_sup_closure", "LowerAdjoint.closure_sup_closure_le", "LowerAdjoint.closure_sup_closure_left", "LowerAdjoint.closure_sup_closure_right", "LowerAdjoint.closure_top", "LowerAdjoint.closure_union_closure", "LowerAdjoint.closure_union_closure_left", "LowerAdjoint.closure_union_closure_right", "LowerAdjoint.closure_union_closure_subset", "LowerAdjoint.ext", "LowerAdjoint.idempotent", "LowerAdjoint.le_closure", "LowerAdjoint.le_closure_iff", "LowerAdjoint.le_iff_subset", "LowerAdjoint.mem_closed_iff", "LowerAdjoint.mem_closed_iff_closure_le", "LowerAdjoint.mem_iff", "LowerAdjoint.monotone", "LowerSemicontinuous.add", "LowerSemicontinuous.add'", "LowerSemicontinuous.comp_continuous", "LowerSemicontinuous.isOpen_preimage", "LowerSemicontinuous.lowerSemicontinuousAt", "LowerSemicontinuous.lowerSemicontinuousOn", "LowerSemicontinuous.lowerSemicontinuousWithinAt", "LowerSemicontinuous.measurable", "LowerSemicontinuousAt.add", "LowerSemicontinuousAt.add'", "LowerSemicontinuousAt.comp_continuousAt", "LowerSemicontinuousAt.comp_continuousAt_of_eq", "LowerSemicontinuousAt.lowerSemicontinuousWithinAt", "LowerSemicontinuousOn.lowerSemicontinuousWithinAt", "LowerSemicontinuousWithinAt.add", "LowerSemicontinuousWithinAt.add'", "LowerSemicontinuousWithinAt.mono", "LowerSet.Iic_iInf", "LowerSet.Iic_iInf\u2082", "LowerSet.Iic_inj", "LowerSet.Iic_injective", "LowerSet.Iic_le", "LowerSet.Iic_ne_Iic", "LowerSet.Iic_ne_bot", "LowerSet.Iic_prod", "LowerSet.Iic_sInf", "LowerSet.Iic_sup_erase", "LowerSet.Iic_top", "LowerSet.Ioi_le_Ici", "LowerSet.carrier_eq_coe", "LowerSet.coe_Iic", "LowerSet.coe_Iio", "LowerSet.coe_compl", "LowerSet.coe_div", "LowerSet.coe_eq_empty", "LowerSet.coe_eq_univ", "LowerSet.coe_iInf", "LowerSet.coe_iInf\u2082", "LowerSet.coe_iSup", "LowerSet.coe_iSup\u2082", "LowerSet.coe_iicInfHom", "LowerSet.coe_iicsInfHom", "LowerSet.coe_inf", "LowerSet.coe_map", "LowerSet.coe_mul", "LowerSet.coe_nonempty", "LowerSet.coe_prod", "LowerSet.coe_sSup", "LowerSet.coe_sdiff", "LowerSet.coe_sup", "LowerSet.coe_top", "LowerSet.compl_bot", "LowerSet.compl_compl", "LowerSet.compl_iInf", "LowerSet.compl_iSup", "LowerSet.compl_iSup\u2082", "LowerSet.compl_le_compl", "LowerSet.compl_map", "LowerSet.compl_sInf", "LowerSet.compl_sSup", "LowerSet.compl_top", "LowerSet.disjoint_coe", "LowerSet.disjoint_prod", "LowerSet.erase_le", "LowerSet.erase_sup_Iic", "LowerSet.iicsInfHom_apply", "LowerSet.lower", "LowerSet.lowerClosure_sup_sdiff", "LowerSet.map_Iic", "LowerSet.map_Iio", "LowerSet.map_map", "LowerSet.map_refl", "LowerSet.mem_Iic_iff", "LowerSet.mem_compl_iff", "LowerSet.mem_iInf_iff", "LowerSet.mem_iInf\u2082_iff", "LowerSet.mem_iSup_iff", "LowerSet.mem_inf_iff", "LowerSet.mem_map", "LowerSet.mem_mk", "LowerSet.mem_prod", "LowerSet.mem_sInf_iff", "LowerSet.mem_sSup_iff", "LowerSet.mem_top", "LowerSet.not_mem_bot", "LowerSet.one_mul", "LowerSet.prod_eq_bot", "LowerSet.prod_inf", "LowerSet.prod_inf_prod", "LowerSet.prod_le_prod_iff", "LowerSet.prod_mono", "LowerSet.prod_mono_left", "LowerSet.prod_mono_right", "LowerSet.prod_self_lt_prod_self", "LowerSet.prod_sup", "LowerSet.sdiff_eq_left", "LowerSet.sdiff_lt_left", "LowerSet.sdiff_sup_lowerClosure", "LowerSet.supIrred_Iic", "LowerSet.supIrred_iff_of_finite", "LowerSet.sup_prod", "LowerSet.symm_map", "LowerSet.top_prod_top", "LucasLehmer.Int.coe_nat_two_pow_pred", "LucasLehmer.Int.natCast_pow_pred", "LucasLehmer.X.add_snd", "LucasLehmer.X.card_eq", "LucasLehmer.X.card_units_lt", "LucasLehmer.X.closed_form", "LucasLehmer.X.coe_mul", "LucasLehmer.X.ext", "LucasLehmer.X.fst_intCast", "LucasLehmer.X.mul_fst", "LucasLehmer.X.mul_snd", "LucasLehmer.X.neg_fst", "LucasLehmer.X.neg_snd", "LucasLehmer.X.ofNat_fst", "LucasLehmer.X.ofNat_snd", "LucasLehmer.X.one_fst", "LucasLehmer.X.right_distrib", "LucasLehmer.X.snd_intCast", "LucasLehmer.X.zero_fst", "LucasLehmer.X.zero_snd", "LucasLehmer.X.\u03c9_mul_\u03c9b", "LucasLehmer.X.\u03c9b_mul_\u03c9", "LucasLehmer.mersenne_coe_X", "LucasLehmer.norm_num_ext.isNat_lucasLehmerTest", "LucasLehmer.norm_num_ext.sMod'_eq_sMod", "LucasLehmer.norm_num_ext.testFalseHelper", "LucasLehmer.norm_num_ext.testTrueHelper", "LucasLehmer.order_ineq", "LucasLehmer.order_\u03c9", "LucasLehmer.residue_eq_zero_iff_sMod_eq_zero", "LucasLehmer.sMod_lt", "LucasLehmer.sMod_mod", "LucasLehmer.sMod_nonneg", "LucasLehmer.sZMod_eq_s", "LucasLehmer.sZMod_eq_sMod", "LucasLehmer.two_lt_q", "LucasLehmer.\u03c9Unit_coe", "LucasLehmer.\u03c9_pow_eq_neg_one", "LucasLehmer.\u03c9_pow_eq_one", "LucasLehmer.\u03c9_pow_formula", "MDifferentiable.add", "MDifferentiable.isLocallyConstant", "MDifferentiable.mfderivWithin", "MDifferentiable.mul", "MDifferentiable.prod_mk", "MDifferentiable.prod_mk_space", "MDifferentiableAt.add", "MDifferentiableAt.comp", "MDifferentiableAt.congr_of_eventuallyEq", "MDifferentiableAt.const_smul", "MDifferentiableAt.continuousAt", "MDifferentiableAt.hasMFDerivAt", "MDifferentiableAt.mdifferentiableWithinAt", "MDifferentiableAt.mfderiv", "MDifferentiableAt.mfderiv_prod", "MDifferentiableAt.neg", "MDifferentiableAt.prod_mk", "MDifferentiableAt.sub", "MDifferentiableOn.apply_eq_of_isPreconnected_isCompact_isOpen", "MDifferentiableOn.comp", "MDifferentiableOn.continuousOn", "MDifferentiableOn.eqOn_of_isPreconnected_of_isMaxOn_norm", "MDifferentiableOn.mdifferentiableAt", "MDifferentiableOn.mono", "MDifferentiableOn.norm_eqOn_of_isPreconnected_of_isMaxOn", "MDifferentiableOn.prod_mk", "MDifferentiableOn.prod_mk_space", "MDifferentiableWithinAt.congr_mono", "MDifferentiableWithinAt.differentiableWithinAt_writtenInExtChartAt", "MDifferentiableWithinAt.hasMFDerivWithinAt", "MDifferentiableWithinAt.mdifferentiableAt", "MDifferentiableWithinAt.mfderivWithin", "MDifferentiableWithinAt.mfderivWithin_congr_mono", "MDifferentiableWithinAt.mono", "Magma.AssocQuotient.hom_ext", "Magma.AssocQuotient.induction_on", "Magma.AssocQuotient.lift_of", "Magma.AssocQuotient.quot_mk_assoc_left", "MagmaCat.ofHom_apply", "Manifold.locallyCompact_of_finiteDimensional", "ManifoldWithCorners.metrizableSpace", "ManyOneDegree.add_le", "ManyOneDegree.add_of", "ManyOneDegree.ind_on", "ManyOneDegree.le_add_left", "ManyOneDegree.le_antisymm", "ManyOneDegree.le_refl", "ManyOneDegree.le_trans", "ManyOneDegree.liftOn_eq", "ManyOneDegree.of_eq_of", "ManyOneDegree.of_le_of", "ManyOneEquiv.congr_right", "ManyOneEquiv.le_congr_left", "ManyOneEquiv.le_congr_right", "ManyOneEquiv.symm", "ManyOneEquiv.trans", "ManyOneReducible.mk", "ManyOneReducible.trans", "MapsTo.lipschitzOnWith_iff_restrict", "Mathlib.Meta.Finset.range_succ'", "Mathlib.Meta.Finset.range_zero'", "Mathlib.Meta.List.range_succ_eq_map'", "Mathlib.Meta.List.range_zero'", "Mathlib.Meta.Multiset.insert_eq_cons", "Mathlib.Meta.Multiset.range_succ'", "Mathlib.Meta.Multiset.range_zero'", "Mathlib.Meta.NormNum.Finset.prod_empty", "Mathlib.Meta.NormNum.Finset.sum_empty", "Mathlib.Meta.NormNum.IsInt.neg_to_eq", "Mathlib.Meta.NormNum.IsInt.nonneg_to_eq", "Mathlib.Meta.NormNum.IsInt.of_raw", "Mathlib.Meta.NormNum.IsInt.raw_refl", "Mathlib.Meta.NormNum.IsInt.to_isRat", "Mathlib.Meta.NormNum.IsInt.to_raw_eq", "Mathlib.Meta.NormNum.IsNat.of_raw", "Mathlib.Meta.NormNum.IsNat.raw_refl", "Mathlib.Meta.NormNum.IsNat.to_isInt", "Mathlib.Meta.NormNum.IsNat.to_raw_eq", "Mathlib.Meta.NormNum.IsNatPowT.bit0", "Mathlib.Meta.NormNum.IsNatPowT.bit1", "Mathlib.Meta.NormNum.IsNatPowT.run", "Mathlib.Meta.NormNum.IsRat.neg_to_eq", "Mathlib.Meta.NormNum.IsRat.nonneg_to_eq", "Mathlib.Meta.NormNum.IsRat.of_raw", "Mathlib.Meta.NormNum.IsRat.to_isNat", "Mathlib.Meta.NormNum.IsRat.to_raw_eq", "Mathlib.Meta.NormNum.LegendreSym.to_jacobiSym", "Mathlib.Meta.NormNum.MinFacHelper.one_lt", "Mathlib.Meta.NormNum.Rat.invOf_denom_swap", "Mathlib.Meta.NormNum.ble_eq_false", "Mathlib.Meta.NormNum.eq_of_false", "Mathlib.Meta.NormNum.eq_of_true", "Mathlib.Meta.NormNum.intPow_negOfNat_bit0", "Mathlib.Meta.NormNum.intPow_negOfNat_bit1", "Mathlib.Meta.NormNum.intPow_ofNat", "Mathlib.Meta.NormNum.isFibAux_one", "Mathlib.Meta.NormNum.isFibAux_two_mul", "Mathlib.Meta.NormNum.isFibAux_two_mul_add_one", "Mathlib.Meta.NormNum.isFibAux_two_mul_add_one_done", "Mathlib.Meta.NormNum.isFibAux_two_mul_done", "Mathlib.Meta.NormNum.isFibAux_zero", "Mathlib.Meta.NormNum.isInt_add", "Mathlib.Meta.NormNum.isInt_dvd_true", "Mathlib.Meta.NormNum.isInt_ediv", "Mathlib.Meta.NormNum.isInt_ediv_neg", "Mathlib.Meta.NormNum.isInt_ediv_zero", "Mathlib.Meta.NormNum.isInt_emod_neg", "Mathlib.Meta.NormNum.isInt_emod_zero", "Mathlib.Meta.NormNum.isInt_eq_false", "Mathlib.Meta.NormNum.isInt_eq_true", "Mathlib.Meta.NormNum.isInt_jacobiSym", "Mathlib.Meta.NormNum.isInt_jacobiSymNat", "Mathlib.Meta.NormNum.isInt_le_false", "Mathlib.Meta.NormNum.isInt_le_true", "Mathlib.Meta.NormNum.isInt_lt_true", "Mathlib.Meta.NormNum.isInt_mul", "Mathlib.Meta.NormNum.isInt_neg", "Mathlib.Meta.NormNum.isInt_pow", "Mathlib.Meta.NormNum.isInt_rpow_neg", "Mathlib.Meta.NormNum.isInt_rpow_pos", "Mathlib.Meta.NormNum.isInt_zpow_neg", "Mathlib.Meta.NormNum.isInt_zpow_pos", "Mathlib.Meta.NormNum.isNat.natElim", "Mathlib.Meta.NormNum.isNat_add", "Mathlib.Meta.NormNum.isNat_dvd_false", "Mathlib.Meta.NormNum.isNat_dvd_true", "Mathlib.Meta.NormNum.isNat_eq_false", "Mathlib.Meta.NormNum.isNat_eq_true", "Mathlib.Meta.NormNum.isNat_fib", "Mathlib.Meta.NormNum.isNat_intCast", "Mathlib.Meta.NormNum.isNat_intOfNat", "Mathlib.Meta.NormNum.isNat_le_true", "Mathlib.Meta.NormNum.isNat_lt_true", "Mathlib.Meta.NormNum.isNat_minFac_1", "Mathlib.Meta.NormNum.isNat_minFac_2", "Mathlib.Meta.NormNum.isNat_minFac_3", "Mathlib.Meta.NormNum.isNat_minFac_4", "Mathlib.Meta.NormNum.isNat_mul", "Mathlib.Meta.NormNum.isNat_natAbs_neg", "Mathlib.Meta.NormNum.isNat_natAbs_pos", "Mathlib.Meta.NormNum.isNat_natCast", "Mathlib.Meta.NormNum.isNat_natSub", "Mathlib.Meta.NormNum.isNat_natSucc", "Mathlib.Meta.NormNum.isNat_neg_of_isNegNat", "Mathlib.Meta.NormNum.isNat_ofNat", "Mathlib.Meta.NormNum.isNat_ofScientific_of_false", "Mathlib.Meta.NormNum.isNat_one", "Mathlib.Meta.NormNum.isNat_prime_1", "Mathlib.Meta.NormNum.isNat_prime_2", "Mathlib.Meta.NormNum.isNat_rpow_pos", "Mathlib.Meta.NormNum.isNat_zero", "Mathlib.Meta.NormNum.isNat_zpow_neg", "Mathlib.Meta.NormNum.isNat_zpow_pos", "Mathlib.Meta.NormNum.isRat_add", "Mathlib.Meta.NormNum.isRat_div", "Mathlib.Meta.NormNum.isRat_eq_false", "Mathlib.Meta.NormNum.isRat_eq_true", "Mathlib.Meta.NormNum.isRat_inv_neg", "Mathlib.Meta.NormNum.isRat_inv_neg_one", "Mathlib.Meta.NormNum.isRat_inv_one", "Mathlib.Meta.NormNum.isRat_inv_pos", "Mathlib.Meta.NormNum.isRat_inv_zero", "Mathlib.Meta.NormNum.isRat_le_false", "Mathlib.Meta.NormNum.isRat_le_true", "Mathlib.Meta.NormNum.isRat_lt_false", "Mathlib.Meta.NormNum.isRat_lt_true", "Mathlib.Meta.NormNum.isRat_mkRat", "Mathlib.Meta.NormNum.isRat_mul", "Mathlib.Meta.NormNum.isRat_neg", "Mathlib.Meta.NormNum.isRat_ofScientific_of_true", "Mathlib.Meta.NormNum.isRat_pow", "Mathlib.Meta.NormNum.isRat_rpow_neg", "Mathlib.Meta.NormNum.isRat_sub", "Mathlib.Meta.NormNum.isRat_zpow_neg", "Mathlib.Meta.NormNum.isRat_zpow_pos", "Mathlib.Meta.NormNum.isintCast", "Mathlib.Meta.NormNum.jacobiSymNat.double_even", "Mathlib.Meta.NormNum.jacobiSymNat.even_even", "Mathlib.Meta.NormNum.jacobiSymNat.even_odd\u2081", "Mathlib.Meta.NormNum.jacobiSymNat.even_odd\u2083", "Mathlib.Meta.NormNum.jacobiSymNat.even_odd\u2085", "Mathlib.Meta.NormNum.jacobiSymNat.even_odd\u2087", "Mathlib.Meta.NormNum.jacobiSymNat.mod_left", "Mathlib.Meta.NormNum.jacobiSymNat.odd_even", "Mathlib.Meta.NormNum.jacobiSymNat.one_left", "Mathlib.Meta.NormNum.jacobiSymNat.one_right", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2081", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2081'", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2081'_mod", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2081_mod", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2083", "Mathlib.Meta.NormNum.jacobiSymNat.qr\u2083_mod", "Mathlib.Meta.NormNum.jacobiSymNat.zero_left", "Mathlib.Meta.NormNum.jacobiSymNat.zero_right", "Mathlib.Meta.NormNum.minFacHelper_0", "Mathlib.Meta.NormNum.minFacHelper_1", "Mathlib.Meta.NormNum.minFacHelper_2", "Mathlib.Meta.NormNum.minFacHelper_3", "Mathlib.Meta.NormNum.natPow_one", "Mathlib.Meta.NormNum.natPow_zero", "Mathlib.Meta.NormNum.ne_of_false_of_true", "Mathlib.Meta.NormNum.ne_of_true_of_false", "Mathlib.Meta.NormNum.not_prime_mul_of_ble", "Mathlib.Meta.NormNum.one_natPow", "Mathlib.Meta.NormNum.zero_natPow", "Mathlib.Meta.Positivity.abs_pos_of_ne_zero", "Mathlib.Meta.Positivity.div_ne_zero_of_pos_of_ne_zero", "Mathlib.Meta.Positivity.div_nonneg_of_nonneg_of_pos", "Mathlib.Meta.Positivity.int_ceil_pos", "Mathlib.Meta.Positivity.int_div_nonneg_of_nonneg_of_pos", "Mathlib.Meta.Positivity.int_div_nonneg_of_pos_of_pos", "Mathlib.Meta.Positivity.int_div_self_pos", "Mathlib.Meta.Positivity.int_floor_nonneg", "Mathlib.Meta.Positivity.int_floor_nonneg_of_pos", "Mathlib.Meta.Positivity.ite_ne_zero", "Mathlib.Meta.Positivity.ite_ne_zero_of_pos_of_ne_zero", "Mathlib.Meta.Positivity.ite_nonneg_of_nonneg_of_pos", "Mathlib.Meta.Positivity.ite_nonneg_of_pos_of_nonneg", "Mathlib.Meta.Positivity.ite_pos", "Mathlib.Meta.Positivity.le_min_of_le_of_lt", "Mathlib.Meta.Positivity.le_min_of_lt_of_le", "Mathlib.Meta.Positivity.log_nonneg_of_isNat", "Mathlib.Meta.Positivity.log_nonneg_of_isNegNat", "Mathlib.Meta.Positivity.log_nz_of_isRat", "Mathlib.Meta.Positivity.log_nz_of_isRat_neg", "Mathlib.Meta.Positivity.log_pos_of_isNat", "Mathlib.Meta.Positivity.log_pos_of_isNegNat", "Mathlib.Meta.Positivity.log_pos_of_isRat", "Mathlib.Meta.Positivity.log_pos_of_isRat_neg", "Mathlib.Meta.Positivity.lt_of_le_of_ne'", "Mathlib.Meta.Positivity.max_ne", "Mathlib.Meta.Positivity.min_ne_of_lt_of_ne", "Mathlib.Meta.Positivity.mul_ne_zero_of_ne_zero_of_pos", "Mathlib.Meta.Positivity.mul_ne_zero_of_pos_of_ne_zero", "Mathlib.Meta.Positivity.mul_nonneg_of_pos_of_nonneg", "Mathlib.Meta.Positivity.nat_ceil_pos", "Mathlib.Meta.Positivity.nonneg_of_isNat", "Mathlib.Meta.Positivity.nz_of_isNegNat", "Mathlib.Meta.Positivity.nz_of_isRat", "Mathlib.Meta.Positivity.pos_of_isNat", "Mathlib.Meta.Positivity.pos_of_isRat", "Mathlib.Meta.Positivity.smul_ne_zero_of_ne_zero_of_pos", "Mathlib.Meta.Positivity.smul_ne_zero_of_pos_of_ne_zero", "Mathlib.Meta.Positivity.zpow_zero_pos", "Mathlib.Tactic.Abel.const_add_term", "Mathlib.Tactic.Abel.const_add_termg", "Mathlib.Tactic.Abel.subst_into_add", "Mathlib.Tactic.Abel.subst_into_negg", "Mathlib.Tactic.Abel.subst_into_smul", "Mathlib.Tactic.Abel.subst_into_smul_upcast", "Mathlib.Tactic.Abel.subst_into_smulg", "Mathlib.Tactic.Abel.term_add_const", "Mathlib.Tactic.Abel.term_add_constg", "Mathlib.Tactic.Abel.term_add_term", "Mathlib.Tactic.Abel.term_add_termg", "Mathlib.Tactic.Abel.term_atom", "Mathlib.Tactic.Abel.term_atom_pf", "Mathlib.Tactic.Abel.term_atom_pfg", "Mathlib.Tactic.Abel.term_atomg", "Mathlib.Tactic.Abel.term_eq", "Mathlib.Tactic.Abel.term_neg", "Mathlib.Tactic.Abel.term_smul", "Mathlib.Tactic.Abel.term_smulg", "Mathlib.Tactic.Abel.termg_eq", "Mathlib.Tactic.Abel.unfold_smul", "Mathlib.Tactic.Abel.unfold_sub", "Mathlib.Tactic.Abel.unfold_zsmul", "Mathlib.Tactic.Abel.zero_smul", "Mathlib.Tactic.Abel.zero_smulg", "Mathlib.Tactic.Abel.zero_term", "Mathlib.Tactic.Abel.zero_termg", "Mathlib.Tactic.BicategoryCoherence.assoc_liftHom\u2082", "Mathlib.Tactic.BicategoryCoherence.bicategoricalComp_refl", "Mathlib.Tactic.CC.and_eq_of_eq", "Mathlib.Tactic.CC.and_eq_of_eq_false_right", "Mathlib.Tactic.CC.and_eq_of_eq_true_left", "Mathlib.Tactic.CC.and_eq_of_eq_true_right", "Mathlib.Tactic.CC.eq_false_of_or_eq_false_left", "Mathlib.Tactic.CC.eq_false_of_or_eq_false_right", "Mathlib.Tactic.CC.eq_true_of_and_eq_true_left", "Mathlib.Tactic.CC.eq_true_of_and_eq_true_right", "Mathlib.Tactic.CC.eq_true_of_not_eq_false", "Mathlib.Tactic.CC.false_of_a_eq_not_a", "Mathlib.Tactic.CC.if_eq_of_eq_false", "Mathlib.Tactic.CC.iff_eq_of_eq_true_left", "Mathlib.Tactic.CC.iff_eq_of_eq_true_right", "Mathlib.Tactic.CC.imp_eq_of_eq_false_left", "Mathlib.Tactic.CC.imp_eq_of_eq_false_right", "Mathlib.Tactic.CC.imp_eq_of_eq_true_left", "Mathlib.Tactic.CC.imp_eq_true_of_eq", "Mathlib.Tactic.CC.not_eq_of_eq_false", "Mathlib.Tactic.CC.not_eq_of_eq_true", "Mathlib.Tactic.CC.not_imp_eq_of_eq_false_right", "Mathlib.Tactic.CC.or_eq_of_eq", "Mathlib.Tactic.CC.or_eq_of_eq_false_right", "Mathlib.Tactic.Coherence.assoc_liftHom", "Mathlib.Tactic.Coherence.insert_id_lhs", "Mathlib.Tactic.Coherence.insert_id_rhs", "Mathlib.Tactic.ComputeDegree.coeff_add_of_eq", "Mathlib.Tactic.ComputeDegree.coeff_congr", "Mathlib.Tactic.ComputeDegree.coeff_congr_lhs", "Mathlib.Tactic.ComputeDegree.coeff_intCast_ite", "Mathlib.Tactic.ComputeDegree.coeff_mul_add_of_le_natDegree_of_eq_ite", "Mathlib.Tactic.ComputeDegree.coeff_pow_of_natDegree_le_of_eq_ite'", "Mathlib.Tactic.ComputeDegree.coeff_sub_of_eq", "Mathlib.Tactic.ComputeDegree.degree_eq_of_le_of_coeff_ne_zero'", "Mathlib.Tactic.ComputeDegree.degree_smul_le_of_le", "Mathlib.Tactic.ComputeDegree.natDegree_eq_of_le_of_coeff_ne_zero'", "Mathlib.Tactic.ComputeDegree.natDegree_intCast_le", "Mathlib.Tactic.ComputeDegree.natDegree_natCast_le", "Mathlib.Tactic.ComputeDegree.natDegree_one_le", "Mathlib.Tactic.ComputeDegree.natDegree_smul_le_of_le", "Mathlib.Tactic.ComputeDegree.natDegree_zero_le", "Mathlib.Tactic.Contrapose.mtr", "Mathlib.Tactic.Group.zpow_trick", "Mathlib.Tactic.Group.zpow_trick_one", "Mathlib.Tactic.Group.zpow_trick_one'", "Mathlib.Tactic.IntervalCases.of_le_left", "Mathlib.Tactic.IntervalCases.of_le_right", "Mathlib.Tactic.IntervalCases.of_lt_left", "Mathlib.Tactic.IntervalCases.of_lt_right", "Mathlib.Tactic.IntervalCases.of_not_le_right", "Mathlib.Tactic.IntervalCases.of_not_lt_left", "Mathlib.Tactic.IntervalCases.of_not_lt_right", "Mathlib.Tactic.LinearCombination.add_pf", "Mathlib.Tactic.LinearCombination.c_add_pf", "Mathlib.Tactic.LinearCombination.c_div_pf", "Mathlib.Tactic.LinearCombination.c_sub_pf", "Mathlib.Tactic.LinearCombination.eq_of_add", "Mathlib.Tactic.LinearCombination.eq_of_add_pow", "Mathlib.Tactic.LinearCombination.eq_trans\u2083", "Mathlib.Tactic.LinearCombination.inv_pf", "Mathlib.Tactic.LinearCombination.mul_pf", "Mathlib.Tactic.LinearCombination.neg_pf", "Mathlib.Tactic.LinearCombination.pf_add_c", "Mathlib.Tactic.LinearCombination.pf_div_c", "Mathlib.Tactic.Nontriviality.subsingleton_or_nontrivial_elim", "Mathlib.Tactic.Peel.and_imp_left_of_imp_imp", "Mathlib.Tactic.Peel.eventually_imp", "Mathlib.Tactic.Peel.frequently_congr", "Mathlib.Tactic.Peel.frequently_imp", "Mathlib.Tactic.PushNeg.empty_ne_eq_nonempty", "Mathlib.Tactic.PushNeg.ne_empty_eq_nonempty", "Mathlib.Tactic.PushNeg.not_and_or_eq", "Mathlib.Tactic.PushNeg.not_exists_eq", "Mathlib.Tactic.PushNeg.not_forall_eq", "Mathlib.Tactic.PushNeg.not_ge_eq", "Mathlib.Tactic.PushNeg.not_iff", "Mathlib.Tactic.PushNeg.not_le_eq", "Mathlib.Tactic.PushNeg.not_lt_eq", "Mathlib.Tactic.PushNeg.not_ne_eq", "Mathlib.Tactic.PushNeg.not_nonempty_eq", "Mathlib.Tactic.PushNeg.not_not_eq", "Mathlib.Tactic.Qify.intCast_le", "Mathlib.Tactic.Qify.intCast_ne", "Mathlib.Tactic.Rify.ratCast_eq", "Mathlib.Tactic.Rify.ratCast_ne", "Mathlib.Tactic.Ring.add_congr", "Mathlib.Tactic.Ring.add_mul", "Mathlib.Tactic.Ring.add_overlap_pf_zero", "Mathlib.Tactic.Ring.add_pf_add_gt", "Mathlib.Tactic.Ring.add_pf_add_lt", "Mathlib.Tactic.Ring.add_pf_add_overlap", "Mathlib.Tactic.Ring.add_pf_add_overlap_zero", "Mathlib.Tactic.Ring.add_pos_left", "Mathlib.Tactic.Ring.atom_pf", "Mathlib.Tactic.Ring.atom_pf'", "Mathlib.Tactic.Ring.cast_rat", "Mathlib.Tactic.Ring.coeff_mul", "Mathlib.Tactic.Ring.coeff_one", "Mathlib.Tactic.Ring.div_congr", "Mathlib.Tactic.Ring.div_pf", "Mathlib.Tactic.Ring.inv_add", "Mathlib.Tactic.Ring.inv_congr", "Mathlib.Tactic.Ring.mul_add", "Mathlib.Tactic.Ring.mul_one", "Mathlib.Tactic.Ring.mul_pf_left", "Mathlib.Tactic.Ring.mul_pf_right", "Mathlib.Tactic.Ring.mul_pow", "Mathlib.Tactic.Ring.mul_pp_pf_overlap", "Mathlib.Tactic.Ring.natCast_add", "Mathlib.Tactic.Ring.natCast_nat", "Mathlib.Tactic.Ring.natCast_zero", "Mathlib.Tactic.Ring.neg_add", "Mathlib.Tactic.Ring.nsmul_congr", "Mathlib.Tactic.Ring.of_lift", "Mathlib.Tactic.Ring.one_pow", "Mathlib.Tactic.Ring.pow_bit0", "Mathlib.Tactic.Ring.pow_bit1", "Mathlib.Tactic.Ring.pow_congr", "Mathlib.Tactic.Ring.pow_nat", "Mathlib.Tactic.Ring.pow_one", "Mathlib.Tactic.Ring.pow_prod_atom", "Mathlib.Tactic.Ring.pow_zero", "Mathlib.Tactic.Ring.smul_eq_cast", "Mathlib.Tactic.Ring.smul_nat", "Mathlib.Tactic.Ring.sub_congr", "Mathlib.Tactic.Ring.sub_pf", "Mathlib.Tactic.Ring.toProd_pf", "Mathlib.Tactic.Ring.zero_pow", "Mathlib.Tactic.RingNF.add_neg", "Mathlib.Tactic.RingNF.int_rawCast_neg", "Mathlib.Tactic.RingNF.mul_assoc_rev", "Mathlib.Tactic.RingNF.mul_neg", "Mathlib.Tactic.RingNF.nat_rawCast_0", "Mathlib.Tactic.RingNF.nat_rawCast_1", "Mathlib.Tactic.RingNF.nat_rawCast_2", "Mathlib.Tactic.RingNF.rat_rawCast_neg", "Mathlib.Tactic.RingNF.rat_rawCast_pos", "Mathlib.Tactic.Zify.Nat.cast_sub_of_lt", "Mathlib.Tactic.Zify.natCast_dvd", "Mathlib.Tactic.Zify.natCast_eq", "Mathlib.Tactic.Zify.natCast_le", "Mathlib.Tactic.Zify.natCast_lt", "Mathlib.Tactic.Zify.natCast_ne", "Matrix.BlockTriangular.add", "Matrix.BlockTriangular.det", "Matrix.BlockTriangular.det_fintype", "Matrix.BlockTriangular.inv_toBlock", "Matrix.BlockTriangular.mul", "Matrix.BlockTriangular.neg", "Matrix.BlockTriangular.sub", "Matrix.BlockTriangular.toBlock_inverse_mul_toBlock_eq_one", "Matrix.BlockTriangular.transpose", "Matrix.Commute.mul_zpow", "Matrix.Commute.zpow_left", "Matrix.Commute.zpow_right", "Matrix.Commute.zpow_self", "Matrix.Commute.zpow_zpow", "Matrix.Commute.zpow_zpow_self", "Matrix.Fin.circulant_injective", "Matrix.Fin.circulant_isSymm_iff", "Matrix.Fin.circulant_ite", "Matrix.Fin.circulant_mul_comm", "Matrix.Fin.conjTranspose_circulant", "Matrix.Fin.transpose_circulant", "Matrix.GLPos.coe_neg", "Matrix.GLPos.coe_neg_GL", "Matrix.GeneralLinearGroup.coe_inv", "Matrix.GeneralLinearGroup.coe_mul", "Matrix.GeneralLinearGroup.coe_one", "Matrix.GeneralLinearGroup.ext", "Matrix.GeneralLinearGroup.map_comp", "Matrix.GeneralLinearGroup.map_id", "Matrix.GeneralLinearGroup.toLinear_apply", "Matrix.HasOrthogonalCols.hasOrthogonalRows", "Matrix.HasOrthogonalCols.transpose_hasOrthogonalRows", "Matrix.HasOrthogonalRows.transpose_hasOrthogonalCols", "Matrix.IsAdjMatrix.apply_diag_ne", "Matrix.IsAdjMatrix.apply_ne_zero_iff", "Matrix.IsAdjMatrix.compl", "Matrix.IsAdjMatrix.toGraph_compl_eq", "Matrix.IsDiag.add", "Matrix.IsDiag.diagonal_diag", "Matrix.IsDiag.fromBlocks", "Matrix.IsDiag.fromBlocks_of_isSymm", "Matrix.IsDiag.isSymm", "Matrix.IsDiag.kronecker", "Matrix.IsDiag.neg", "Matrix.IsDiag.smul", "Matrix.IsDiag.transpose", "Matrix.IsHermitian.add", "Matrix.IsHermitian.adjugate", "Matrix.IsHermitian.apply", "Matrix.IsHermitian.coe_re_apply_self", "Matrix.IsHermitian.coe_re_diag", "Matrix.IsHermitian.conjTranspose", "Matrix.IsHermitian.det_eq_prod_eigenvalues", "Matrix.IsHermitian.eigenvalues_eq", "Matrix.IsHermitian.eigenvalues_mem_spectrum_real", "Matrix.IsHermitian.eigenvectorUnitary_coe", "Matrix.IsHermitian.eigenvectorUnitary_mulVec", "Matrix.IsHermitian.eq", "Matrix.IsHermitian.exists_eigenvector_of_ne_zero", "Matrix.IsHermitian.exp", "Matrix.IsHermitian.ext", "Matrix.IsHermitian.ext_iff", "Matrix.IsHermitian.fromBlocks", "Matrix.IsHermitian.fromBlocks\u2081\u2081", "Matrix.IsHermitian.fromBlocks\u2082\u2082", "Matrix.IsHermitian.inv", "Matrix.IsHermitian.map", "Matrix.IsHermitian.mulVec_eigenvectorBasis", "Matrix.IsHermitian.neg", "Matrix.IsHermitian.posSemidef_of_eigenvalues_nonneg", "Matrix.IsHermitian.pow", "Matrix.IsHermitian.rank_eq_card_non_zero_eigs", "Matrix.IsHermitian.rank_eq_rank_diagonal", "Matrix.IsHermitian.spectral_theorem", "Matrix.IsHermitian.spectrum_toEuclideanLin", "Matrix.IsHermitian.star_eigenvectorUnitary_mulVec", "Matrix.IsHermitian.star_mul_self_mul_eq_diagonal", "Matrix.IsHermitian.submatrix", "Matrix.IsHermitian.transpose", "Matrix.IsHermitian.zpow", "Matrix.IsSymm.add", "Matrix.IsSymm.apply", "Matrix.IsSymm.conjTranspose", "Matrix.IsSymm.eq", "Matrix.IsSymm.exp", "Matrix.IsSymm.ext", "Matrix.IsSymm.ext_iff", "Matrix.IsSymm.fromBlocks", "Matrix.IsSymm.map", "Matrix.IsSymm.sub", "Matrix.IsSymm.submatrix", "Matrix.IsSymm.transpose", "Matrix.IsSymm.zpow", "Matrix.J_det_mul_J_det", "Matrix.J_inv", "Matrix.J_squared", "Matrix.J_transpose", "Matrix.Nondegenerate.eq_zero_of_ortho", "Matrix.Nondegenerate.toBilin", "Matrix.Nondegenerate.toBilin'", "Matrix.Nondegenerate.toLinearMap\u2082'", "Matrix.Pivot.exists_isTwoBlockDiagonal_list_transvec_mul_mul_list_transvec", "Matrix.Pivot.exists_isTwoBlockDiagonal_of_ne_zero", "Matrix.Pivot.exists_list_transvec_mul_diagonal_mul_list_transvec", "Matrix.Pivot.exists_list_transvec_mul_mul_list_transvec_eq_diagonal", "Matrix.Pivot.exists_list_transvec_mul_mul_list_transvec_eq_diagonal_aux", "Matrix.Pivot.exists_list_transvec_mul_mul_list_transvec_eq_diagonal_induction", "Matrix.Pivot.isTwoBlockDiagonal_listTransvecCol_mul_mul_listTransvecRow", "Matrix.Pivot.listTransvecCol_mul_last_col", "Matrix.Pivot.listTransvecCol_mul_last_row", "Matrix.Pivot.listTransvecCol_mul_last_row_drop", "Matrix.Pivot.listTransvecCol_mul_mul_listTransvecRow_last_col", "Matrix.Pivot.listTransvecCol_mul_mul_listTransvecRow_last_row", "Matrix.Pivot.mul_listTransvecRow_last_col", "Matrix.Pivot.mul_listTransvecRow_last_col_take", "Matrix.Pivot.mul_listTransvecRow_last_row", "Matrix.Pivot.reindex_exists_list_transvec_mul_mul_list_transvec_eq_diagonal", "Matrix.PosDef.add", "Matrix.PosDef.add_posSemidef", "Matrix.PosDef.eigenvalues_pos", "Matrix.PosDef.of_toQuadraticForm'", "Matrix.PosDef.posSemidef", "Matrix.PosDef.posSemidef_add", "Matrix.PosDef.toQuadraticForm'", "Matrix.PosDef.transpose", "Matrix.PosSemidef.add", "Matrix.PosSemidef.conjTranspose", "Matrix.PosSemidef.conjTranspose_mul_mul_same", "Matrix.PosSemidef.dotProduct_mulVec_zero_iff", "Matrix.PosSemidef.eigenvalues_nonneg", "Matrix.PosSemidef.eq_of_sq_eq_sq", "Matrix.PosSemidef.fromBlocks\u2081\u2081", "Matrix.PosSemidef.fromBlocks\u2082\u2082", "Matrix.PosSemidef.inv", "Matrix.PosSemidef.mul_mul_conjTranspose_same", "Matrix.PosSemidef.one", "Matrix.PosSemidef.posSemidef_sqrt", "Matrix.PosSemidef.pow", "Matrix.PosSemidef.re_dotProduct_nonneg", "Matrix.PosSemidef.sq_sqrt", "Matrix.PosSemidef.sqrt_mul_self", "Matrix.PosSemidef.sqrt_sq", "Matrix.PosSemidef.submatrix", "Matrix.PosSemidef.toLinearMap\u2082'_zero_iff", "Matrix.PosSemidef.transpose", "Matrix.PosSemidef.zero", "Matrix.PosSemidef.zpow", "Matrix.Represents.add", "Matrix.Represents.algebraMap", "Matrix.Represents.mul", "Matrix.Represents.one", "Matrix.Represents.smul", "Matrix.Represents.zero", "Matrix.SemiconjBy.zpow_right", "Matrix.SpecialLinearGroup.SL2_inv_expl", "Matrix.SpecialLinearGroup.SL2_inv_expl_det", "Matrix.SpecialLinearGroup.center_eq_bot_of_subsingleton", "Matrix.SpecialLinearGroup.coeToGL_det", "Matrix.SpecialLinearGroup.coe_GLPos_coe_GL_coe_matrix", "Matrix.SpecialLinearGroup.coe_matrix_coe", "Matrix.SpecialLinearGroup.coe_mk", "Matrix.SpecialLinearGroup.coe_mul", "Matrix.SpecialLinearGroup.coe_neg", "Matrix.SpecialLinearGroup.coe_toGL", "Matrix.SpecialLinearGroup.det_coe", "Matrix.SpecialLinearGroup.det_ne_zero", "Matrix.SpecialLinearGroup.ext", "Matrix.SpecialLinearGroup.ext_iff", "Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero", "Matrix.SpecialLinearGroup.fin_two_induction", "Matrix.SpecialLinearGroup.isCoprime_col", "Matrix.SpecialLinearGroup.isCoprime_row", "Matrix.SpecialLinearGroup.mem_center_iff", "Matrix.SpecialLinearGroup.row_ne_zero", "Matrix.SpecialLinearGroup.scalar_eq_self_of_mem_center", "Matrix.SpecialLinearGroup.toLin'_injective", "Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap", "Matrix.SpecialLinearGroup.toLin'_to_linearMap", "Matrix.StdBasisMatrix.apply_of_col_ne", "Matrix.StdBasisMatrix.apply_of_ne", "Matrix.StdBasisMatrix.apply_of_row_ne", "Matrix.StdBasisMatrix.apply_same", "Matrix.StdBasisMatrix.diag_same", "Matrix.StdBasisMatrix.diag_zero", "Matrix.StdBasisMatrix.mul_left_apply_of_ne", "Matrix.StdBasisMatrix.mul_left_apply_same", "Matrix.StdBasisMatrix.mul_of_ne", "Matrix.StdBasisMatrix.mul_right_apply_of_ne", "Matrix.StdBasisMatrix.mul_right_apply_same", "Matrix.StdBasisMatrix.mul_same", "Matrix.StdBasisMatrix.trace_eq", "Matrix.StdBasisMatrix.trace_zero", "Matrix.TransvectionStruct.det_toMatrix_prod", "Matrix.TransvectionStruct.inv_mul", "Matrix.TransvectionStruct.mul_inv", "Matrix.TransvectionStruct.mul_sumInl_toMatrix_prod", "Matrix.TransvectionStruct.prod_mul_reverse_inv_prod", "Matrix.TransvectionStruct.reverse_inv_prod_mul_prod", "Matrix.TransvectionStruct.sumInl_toMatrix_prod_mul", "Matrix.TransvectionStruct.toMatrix_mk", "Matrix.TransvectionStruct.toMatrix_reindexEquiv", "Matrix.TransvectionStruct.toMatrix_reindexEquiv_prod", "Matrix.TransvectionStruct.toMatrix_sumInl", "Matrix.UnitaryGroup.ext", "Matrix.UnitaryGroup.ext_iff", "Matrix.UnitaryGroup.inv_val", "Matrix.UnitaryGroup.mul_apply", "Matrix.UnitaryGroup.mul_val", "Matrix.UnitaryGroup.one_apply", "Matrix.UnitaryGroup.one_val", "Matrix.UnitaryGroup.star_mul_self", "Matrix.UnitaryGroup.toGL_mul", "Matrix.UnitaryGroup.toGL_one", "Matrix.UnitaryGroup.toLin'_mul", "Matrix.add_apply", "Matrix.add_cons", "Matrix.add_dotProduct", "Matrix.add_hadamard", "Matrix.add_kronecker", "Matrix.add_kroneckerTMul", "Matrix.add_mul", "Matrix.add_mulVec", "Matrix.add_vecMul", "Matrix.adjugate_adjugate", "Matrix.adjugate_apply", "Matrix.adjugate_conjTranspose", "Matrix.adjugate_diagonal", "Matrix.adjugate_eq_one_of_card_eq_one", "Matrix.adjugate_fin_one", "Matrix.adjugate_fin_succ_eq_det_submatrix", "Matrix.adjugate_fin_three", "Matrix.adjugate_fin_zero", "Matrix.adjugate_mul", "Matrix.adjugate_mul_distrib", "Matrix.adjugate_mul_distrib_aux", "Matrix.adjugate_one", "Matrix.adjugate_pow", "Matrix.adjugate_reindex", "Matrix.adjugate_smul", "Matrix.adjugate_submatrix_equiv_self", "Matrix.adjugate_subsingleton", "Matrix.adjugate_transpose", "Matrix.adjugate_zero", "Matrix.aeval_self_charpoly", "Matrix.algebraMap_eq_diagonal", "Matrix.algebraMap_eq_diagonalRingHom", "Matrix.algebraMap_matrix_apply", "Matrix.bit0_apply", "Matrix.bit1_apply", "Matrix.bit1_apply_eq", "Matrix.blockDiag'_apply", "Matrix.blockDiag'_diagonal", "Matrix.blockDiag'_neg", "Matrix.blockDiag'_smul", "Matrix.blockDiag'_transpose", "Matrix.blockDiag'_zero", "Matrix.blockDiag_add", "Matrix.blockDiag_apply", "Matrix.blockDiag_blockDiagonal", "Matrix.blockDiag_conjTranspose", "Matrix.blockDiag_diagonal", "Matrix.blockDiag_map", "Matrix.blockDiag_neg", "Matrix.blockDiag_one", "Matrix.blockDiag_smul", "Matrix.blockDiag_sub", "Matrix.blockDiag_transpose", "Matrix.blockDiag_zero", "Matrix.blockDiagonal'_add", "Matrix.blockDiagonal'_apply", "Matrix.blockDiagonal'_apply_eq", "Matrix.blockDiagonal'_apply_ne", "Matrix.blockDiagonal'_conjTranspose", "Matrix.blockDiagonal'_diagonal", "Matrix.blockDiagonal'_eq_blockDiagonal", "Matrix.blockDiagonal'_map", "Matrix.blockDiagonal'_mul", "Matrix.blockDiagonal'_one", "Matrix.blockDiagonal'_pow", "Matrix.blockDiagonal'_smul", "Matrix.blockDiagonal'_sub", "Matrix.blockDiagonal'_submatrix_eq_blockDiagonal", "Matrix.blockDiagonal'_transpose", "Matrix.blockDiagonal'_tsum", "Matrix.blockDiagonal'_zero", "Matrix.blockDiagonal_add", "Matrix.blockDiagonal_apply", "Matrix.blockDiagonal_apply'", "Matrix.blockDiagonal_apply_eq", "Matrix.blockDiagonal_conjTranspose", "Matrix.blockDiagonal_diagonal", "Matrix.blockDiagonal_injective", "Matrix.blockDiagonal_map", "Matrix.blockDiagonal_mul", "Matrix.blockDiagonal_neg", "Matrix.blockDiagonal_one", "Matrix.blockDiagonal_pow", "Matrix.blockDiagonal_smul", "Matrix.blockDiagonal_transpose", "Matrix.blockDiagonal_tsum", "Matrix.blockDiagonal_zero", "Matrix.blockTriangular_blockDiagonal'", "Matrix.blockTriangular_diagonal", "Matrix.blockTriangular_inv_of_blockTriangular", "Matrix.blockTriangular_one", "Matrix.blockTriangular_reindex_iff", "Matrix.blockTriangular_stdBasisMatrix", "Matrix.blockTriangular_transpose_iff", "Matrix.blockTriangular_transvection", "Matrix.blockTriangular_transvection'", "Matrix.blockTriangular_zero", "Matrix.charmatrix_apply", "Matrix.charmatrix_apply_eq", "Matrix.charmatrix_apply_natDegree", "Matrix.charmatrix_apply_ne", "Matrix.charmatrix_fromBlocks", "Matrix.charmatrix_map", "Matrix.charmatrix_reindex", "Matrix.charpoly.optionEquivLeft_symm_univ_isHomogeneous", "Matrix.charpoly.univ_coeff_card", "Matrix.charpoly.univ_coeff_eval\u2082Hom", "Matrix.charpoly.univ_coeff_isHomogeneous", "Matrix.charpoly.univ_map_eval\u2082Hom", "Matrix.charpoly.univ_map_map", "Matrix.charpoly.univ_natDegree", "Matrix.charpoly_coeff_eq_prod_coeff_of_le", "Matrix.charpoly_degree_eq_dim", "Matrix.charpoly_fromBlocks_zero\u2081\u2082", "Matrix.charpoly_fromBlocks_zero\u2082\u2081", "Matrix.charpoly_map", "Matrix.charpoly_monic", "Matrix.charpoly_natDegree_eq_dim", "Matrix.charpoly_reindex", "Matrix.charpoly_sub_diagonal_degree_lt", "Matrix.circulant_add", "Matrix.circulant_col_zero_eq", "Matrix.circulant_inj", "Matrix.circulant_injective", "Matrix.circulant_isSymm_iff", "Matrix.circulant_mul", "Matrix.circulant_mul_comm", "Matrix.circulant_neg", "Matrix.circulant_single", "Matrix.circulant_single_one", "Matrix.circulant_sub", "Matrix.coe_detMonoidHom", "Matrix.coe_mulVecLin", "Matrix.coe_toEuclideanCLM_eq_toEuclideanLin", "Matrix.coe_units_inv", "Matrix.coe_units_zpow", "Matrix.coe_vecMulLinear", "Matrix.coeff_charpolyRev_eq_neg_trace", "Matrix.coeff_charpoly_mem_ideal_pow", "Matrix.coeff_det_one_add_X_smul_one", "Matrix.col_add", "Matrix.col_cons", "Matrix.col_empty", "Matrix.col_eq_zero", "Matrix.col_eq_zero_of_commute_stdBasisMatrix", "Matrix.col_inj", "Matrix.col_vecMul", "Matrix.col_zero", "Matrix.commute_iff", "Matrix.comp_equiv_dotProduct_comp_equiv", "Matrix.comp_equiv_symm_dotProduct", "Matrix.compl_apply", "Matrix.compl_apply_diag", "Matrix.conjTransposeAddEquiv_symm", "Matrix.conjTransposeLinearEquiv_symm", "Matrix.conjTranspose_add", "Matrix.conjTranspose_apply", "Matrix.conjTranspose_circulant", "Matrix.conjTranspose_col", "Matrix.conjTranspose_conjTranspose", "Matrix.conjTranspose_eq_natCast", "Matrix.conjTranspose_eq_ofNat", "Matrix.conjTranspose_eq_transpose_of_trivial", "Matrix.conjTranspose_eq_zero", "Matrix.conjTranspose_fromColumns_eq_fromRows_conjTranspose", "Matrix.conjTranspose_inj", "Matrix.conjTranspose_injective", "Matrix.conjTranspose_intCast", "Matrix.conjTranspose_intCast_smul", "Matrix.conjTranspose_invOf", "Matrix.conjTranspose_inv_intCast_smul", "Matrix.conjTranspose_inv_natCast_smul", "Matrix.conjTranspose_inv_ofNat_smul", "Matrix.conjTranspose_list_prod", "Matrix.conjTranspose_list_sum", "Matrix.conjTranspose_mul", "Matrix.conjTranspose_mul_self_mulVec_eq_zero", "Matrix.conjTranspose_mul_self_mul_eq_zero", "Matrix.conjTranspose_multiset_sum", "Matrix.conjTranspose_natCast", "Matrix.conjTranspose_natCast_smul", "Matrix.conjTranspose_nonsing_inv", "Matrix.conjTranspose_one", "Matrix.conjTranspose_reindex", "Matrix.conjTranspose_row", "Matrix.conjTranspose_smul", "Matrix.conjTranspose_smul_non_comm", "Matrix.conjTranspose_smul_self", "Matrix.conjTranspose_sub", "Matrix.conjTranspose_submatrix", "Matrix.conjTranspose_tsum", "Matrix.conjTranspose_zero", "Matrix.conjTranspose_zpow", "Matrix.cons_add", "Matrix.cons_dotProduct", "Matrix.cons_eq_zero_iff", "Matrix.cons_fin_one", "Matrix.cons_head_tail", "Matrix.cons_mul", "Matrix.cons_mulVec", "Matrix.cons_nonzero_iff", "Matrix.cons_sub", "Matrix.cons_sub_cons", "Matrix.cons_transpose", "Matrix.cons_val'", "Matrix.cons_val_fin_one", "Matrix.cons_val_four", "Matrix.cons_val_one", "Matrix.cons_val_succ", "Matrix.cons_val_succ'", "Matrix.cons_val_three", "Matrix.cons_val_zero", "Matrix.cons_vecAlt0", "Matrix.cons_vecAlt1", "Matrix.cons_vecAppend", "Matrix.cons_vecMul", "Matrix.cons_vecMul_cons", "Matrix.cons_vec_bit1_eq_alt1", "Matrix.cons_zero_zero", "Matrix.const_fin1_eq", "Matrix.cramerMap_is_linear", "Matrix.cramer_apply", "Matrix.cramer_eq_adjugate_mulVec", "Matrix.cramer_is_linear", "Matrix.cramer_one", "Matrix.cramer_reindex", "Matrix.cramer_row_self", "Matrix.cramer_submatrix_equiv", "Matrix.cramer_subsingleton_apply", "Matrix.cramer_transpose_apply", "Matrix.cramer_transpose_row_self", "Matrix.cramer_zero", "Matrix.derivative_det_one_add_X_smul", "Matrix.derivative_det_one_add_X_smul_aux", "Matrix.det_add_col_mul_row", "Matrix.det_add_mul", "Matrix.det_adjugate", "Matrix.det_apply", "Matrix.det_apply'", "Matrix.det_blockDiagonal", "Matrix.det_comm", "Matrix.det_comm'", "Matrix.det_conj", "Matrix.det_conj'", "Matrix.det_conjTranspose", "Matrix.det_conj_of_mul_eq_one", "Matrix.det_diagonal", "Matrix.det_eq_elem_of_card_eq_one", "Matrix.det_eq_elem_of_subsingleton", "Matrix.det_eq_of_eq_det_one_mul", "Matrix.det_eq_of_eq_mul_det_one", "Matrix.det_eq_of_forall_col_eq_smul_add_pred", "Matrix.det_eq_of_forall_row_eq_smul_add_const", "Matrix.det_eq_of_forall_row_eq_smul_add_const_aux", "Matrix.det_eq_of_forall_row_eq_smul_add_pred_aux", "Matrix.det_eq_prod_roots_charpoly", "Matrix.det_eq_prod_roots_charpoly_of_splits", "Matrix.det_eq_sign_charpoly_coeff", "Matrix.det_eq_sum_mul_adjugate_col", "Matrix.det_eq_sum_mul_adjugate_row", "Matrix.det_eq_zero_of_column_eq_zero", "Matrix.det_eq_zero_of_row_eq_zero", "Matrix.det_eval_matrixOfPolynomials_eq_det_vandermonde", "Matrix.det_fin_one", "Matrix.det_fin_one_of", "Matrix.det_fin_three", "Matrix.det_fin_two", "Matrix.det_fin_two_of", "Matrix.det_fromBlocks_one\u2081\u2081", "Matrix.det_fromBlocks_one\u2082\u2082", "Matrix.det_fromBlocks_zero\u2081\u2082", "Matrix.det_fromBlocks_zero\u2082\u2081", "Matrix.det_fromBlocks\u2081\u2081", "Matrix.det_fromBlocks\u2082\u2082", "Matrix.det_invOf", "Matrix.det_isEmpty", "Matrix.det_kronecker", "Matrix.det_kroneckerMapBilinear", "Matrix.det_kroneckerTMul", "Matrix.det_le", "Matrix.det_matrixOfPolynomials", "Matrix.det_mul", "Matrix.det_mul_add_one_comm", "Matrix.det_mul_aux", "Matrix.det_mul_column", "Matrix.det_mul_comm", "Matrix.det_mul_left_comm", "Matrix.det_mul_right_comm", "Matrix.det_mul_row", "Matrix.det_mvPolynomialX_ne_zero", "Matrix.det_ne_zero_of_left_inverse", "Matrix.det_ne_zero_of_right_inverse", "Matrix.det_ne_zero_of_sum_col_pos", "Matrix.det_ne_zero_of_sum_row_pos", "Matrix.det_neg", "Matrix.det_neg_eq_smul", "Matrix.det_nonsing_inv", "Matrix.det_nonsing_inv_mul_det", "Matrix.det_of_card_zero", "Matrix.det_of_lowerTriangular", "Matrix.det_of_mem_unitary", "Matrix.det_of_upperTriangular", "Matrix.det_one", "Matrix.det_one_add_X_smul", "Matrix.det_one_add_col_mul_row", "Matrix.det_one_add_mul_comm", "Matrix.det_one_add_smul", "Matrix.det_one_sub_mul_comm", "Matrix.det_permutation", "Matrix.det_permute", "Matrix.det_permute'", "Matrix.det_reindexAlgEquiv", "Matrix.det_reindexLinearEquiv_self", "Matrix.det_reindex_self", "Matrix.det_smul", "Matrix.det_smul_adjugate_adjugate", "Matrix.det_smul_inv_mulVec_eq_cramer", "Matrix.det_smul_inv_vecMul_eq_cramer_transpose", "Matrix.det_smul_of_tower", "Matrix.det_submatrix_equiv_self", "Matrix.det_succ_column", "Matrix.det_succ_column_zero", "Matrix.det_succ_row", "Matrix.det_succ_row_zero", "Matrix.det_sum_le", "Matrix.det_sum_smul_le", "Matrix.det_toBlock", "Matrix.det_toSquareBlock_id", "Matrix.det_transpose", "Matrix.det_transvection_of_ne", "Matrix.det_unique", "Matrix.det_units_conj", "Matrix.det_units_conj'", "Matrix.det_updateColumn_add", "Matrix.det_updateColumn_add_self", "Matrix.det_updateColumn_add_smul_self", "Matrix.det_updateColumn_smul", "Matrix.det_updateColumn_smul'", "Matrix.det_updateColumn_sum", "Matrix.det_updateRow_add", "Matrix.det_updateRow_add_self", "Matrix.det_updateRow_add_smul_self", "Matrix.det_updateRow_eq_zero", "Matrix.det_updateRow_smul", "Matrix.det_updateRow_smul'", "Matrix.det_updateRow_sum", "Matrix.det_updateRow_sum_aux", "Matrix.det_vandermonde", "Matrix.det_vandermonde_eq_zero_iff", "Matrix.det_vandermonde_ne_zero_iff", "Matrix.det_vandermonde_sub", "Matrix.det_zero", "Matrix.det_zero_of_column_eq", "Matrix.det_zero_of_row_eq", "Matrix.diag_add", "Matrix.diag_apply", "Matrix.diag_col_mul_row", "Matrix.diag_conjTranspose", "Matrix.diag_diagonal", "Matrix.diag_eq_of_commute_stdBasisMatrix", "Matrix.diag_map", "Matrix.diag_one", "Matrix.diag_smul", "Matrix.diag_transpose", "Matrix.diagonal_apply_eq", "Matrix.diagonal_apply_ne", "Matrix.diagonal_apply_ne'", "Matrix.diagonal_comp_stdBasis", "Matrix.diagonal_conjTranspose", "Matrix.diagonal_const_mulVec", "Matrix.diagonal_dotProduct", "Matrix.diagonal_eq_diagonal_iff", "Matrix.diagonal_injective", "Matrix.diagonal_intCast", "Matrix.diagonal_intCast'", "Matrix.diagonal_kronecker", "Matrix.diagonal_kroneckerTMul", "Matrix.diagonal_kroneckerTMul_diagonal", "Matrix.diagonal_kronecker_diagonal", "Matrix.diagonal_map", "Matrix.diagonal_mul", "Matrix.diagonal_mulVec_single", "Matrix.diagonal_mul_diagonal'", "Matrix.diagonal_natCast", "Matrix.diagonal_natCast'", "Matrix.diagonal_neg", "Matrix.diagonal_ofNat", "Matrix.diagonal_one", "Matrix.diagonal_smul", "Matrix.diagonal_transpose", "Matrix.diagonal_transvection_induction", "Matrix.diagonal_transvection_induction_of_det_ne_zero", "Matrix.diagonal_tsum", "Matrix.diagonal_updateColumn_single", "Matrix.diagonal_updateRow_single", "Matrix.diagonal_zero", "Matrix.dotProduct_add", "Matrix.dotProduct_assoc", "Matrix.dotProduct_comm", "Matrix.dotProduct_comp_equiv_symm", "Matrix.dotProduct_cons", "Matrix.dotProduct_diagonal", "Matrix.dotProduct_diagonal'", "Matrix.dotProduct_eq", "Matrix.dotProduct_eq_zero", "Matrix.dotProduct_eq_zero_iff", "Matrix.dotProduct_le_dotProduct_of_nonneg_left", "Matrix.dotProduct_le_dotProduct_of_nonneg_right", "Matrix.dotProduct_mulVec", "Matrix.dotProduct_neg", "Matrix.dotProduct_nonneg_of_nonneg", "Matrix.dotProduct_pUnit", "Matrix.dotProduct_self_eq_zero", "Matrix.dotProduct_self_star_eq_zero", "Matrix.dotProduct_single", "Matrix.dotProduct_smul", "Matrix.dotProduct_star", "Matrix.dotProduct_star_self_eq_zero", "Matrix.dotProduct_stdBasis_eq_mul", "Matrix.dotProduct_stdBasis_one", "Matrix.dotProduct_sub", "Matrix.dotProduct_vecMul_hadamard", "Matrix.dotProduct_zero", "Matrix.dotProduct\u1d63_eq", "Matrix.eigenvalues_conjTranspose_mul_self_nonneg", "Matrix.empty_add_empty", "Matrix.empty_mul", "Matrix.empty_mulVec", "Matrix.empty_mul_empty", "Matrix.empty_sub_empty", "Matrix.empty_val'", "Matrix.empty_vecAlt0", "Matrix.empty_vecAlt1", "Matrix.eq_zero_of_forall_index_sum_mul_pow_eq_zero", "Matrix.eq_zero_of_forall_index_sum_pow_mul_eq_zero", "Matrix.eq_zero_of_forall_pow_sum_mul_pow_eq_zero", "Matrix.eq_zero_of_mulVec_eq_zero", "Matrix.eq_zero_of_vecMul_eq_zero", "Matrix.equiv_block_det", "Matrix.equiv_compl_fromColumns_mul_fromRows_eq_one_comm", "Matrix.etaExpand_eq", "Matrix.eta_fin_three", "Matrix.eta_fin_two", "Matrix.eval_charpolyRev", "Matrix.eval_det", "Matrix.eval_det_add_X_smul", "Matrix.eval_matrixOfPolynomials_eq_vandermonde_mul_matrixOfPolynomials", "Matrix.exists_iff", "Matrix.exists_left_inverse_iff_isUnit", "Matrix.exists_mulVec_eq_zero_iff", "Matrix.exists_mulVec_eq_zero_iff'", "Matrix.exists_mulVec_eq_zero_iff_aux", "Matrix.exists_right_inverse_iff_isUnit", "Matrix.exists_vecMul_eq_zero_iff", "Matrix.exp_add_of_commute", "Matrix.exp_blockDiagonal", "Matrix.exp_blockDiagonal'", "Matrix.exp_conj", "Matrix.exp_conj'", "Matrix.exp_diagonal", "Matrix.exp_neg", "Matrix.exp_nsmul", "Matrix.exp_sum_of_commute", "Matrix.exp_transpose", "Matrix.exp_units_conj", "Matrix.exp_units_conj'", "Matrix.exp_zsmul", "Matrix.ext", "Matrix.ext_iff", "Matrix.ext_iff_blocks", "Matrix.finite_spectrum", "Matrix.forall_iff", "Matrix.frobenius_nnnorm_conjTranspose", "Matrix.frobenius_nnnorm_def", "Matrix.frobenius_nnnorm_diagonal", "Matrix.frobenius_nnnorm_map_eq", "Matrix.frobenius_nnnorm_mul", "Matrix.frobenius_nnnorm_one", "Matrix.frobenius_nnnorm_row", "Matrix.frobenius_nnnorm_transpose", "Matrix.frobenius_norm_col", "Matrix.frobenius_norm_conjTranspose", "Matrix.frobenius_norm_def", "Matrix.frobenius_norm_diagonal", "Matrix.frobenius_norm_map_eq", "Matrix.frobenius_norm_mul", "Matrix.frobenius_norm_row", "Matrix.fromBlocks_add", "Matrix.fromBlocks_apply\u2081\u2081", "Matrix.fromBlocks_apply\u2081\u2082", "Matrix.fromBlocks_conjTranspose", "Matrix.fromBlocks_diagonal", "Matrix.fromBlocks_eq_of_invertible\u2081\u2081", "Matrix.fromBlocks_eq_of_invertible\u2082\u2082", "Matrix.fromBlocks_inj", "Matrix.fromBlocks_map", "Matrix.fromBlocks_mulVec", "Matrix.fromBlocks_mul_fromRows", "Matrix.fromBlocks_multiply", "Matrix.fromBlocks_neg", "Matrix.fromBlocks_one", "Matrix.fromBlocks_smul", "Matrix.fromBlocks_submatrix_sum_swap_left", "Matrix.fromBlocks_submatrix_sum_swap_sum_swap", "Matrix.fromBlocks_toBlocks", "Matrix.fromBlocks_transpose", "Matrix.fromBlocks_zero", "Matrix.fromColumns_apply_inl", "Matrix.fromColumns_apply_inr", "Matrix.fromColumns_ext_iff", "Matrix.fromColumns_inj", "Matrix.fromColumns_mulVec_sum_elim", "Matrix.fromColumns_mul_fromBlocks", "Matrix.fromColumns_mul_fromRows", "Matrix.fromColumns_mul_fromRows_eq_one_comm", "Matrix.fromColumns_toColumns", "Matrix.fromColumns_zero", "Matrix.fromRows_apply_inl", "Matrix.fromRows_apply_inr", "Matrix.fromRows_inj", "Matrix.fromRows_mul", "Matrix.fromRows_mulVec", "Matrix.fromRows_neg", "Matrix.fromRows_toRows", "Matrix.fromRows_zero", "Matrix.hadamard_add", "Matrix.hadamard_apply", "Matrix.hadamard_zero", "Matrix.head_add", "Matrix.head_cons", "Matrix.head_fin_const", "Matrix.head_neg", "Matrix.head_sub", "Matrix.head_val'", "Matrix.head_zero", "Matrix.induction_on", "Matrix.induction_on'", "Matrix.instCstarRing", "Matrix.intCast_mulVec", "Matrix.invOf_diagonal_eq", "Matrix.invOf_eq", "Matrix.invOf_eq_nonsing_inv", "Matrix.invOf_fromBlocks_zero\u2081\u2082_eq", "Matrix.invOf_fromBlocks_zero\u2082\u2081_eq", "Matrix.invOf_fromBlocks\u2081\u2081_eq", "Matrix.invOf_fromBlocks\u2082\u2082_eq", "Matrix.invOf_mul_self_assoc", "Matrix.invOf_submatrix_equiv_eq", "Matrix.inv_add_inv", "Matrix.inv_adjugate", "Matrix.inv_def", "Matrix.inv_diagonal", "Matrix.inv_eq_left_inv", "Matrix.inv_fromBlocks_zero\u2081\u2082_of_isUnit_iff", "Matrix.inv_fromBlocks_zero\u2082\u2081_of_isUnit_iff", "Matrix.inv_inj", "Matrix.inv_inv_inv", "Matrix.inv_inv_of_invertible", "Matrix.inv_kronecker", "Matrix.inv_mul_cancel_left_of_invertible", "Matrix.inv_mul_eq_iff_eq_mul_of_invertible", "Matrix.inv_mul_of_invertible", "Matrix.inv_pow'", "Matrix.inv_reindex", "Matrix.inv_smul", "Matrix.inv_smul'", "Matrix.inv_sub_inv", "Matrix.inv_submatrix_equiv", "Matrix.inv_zero", "Matrix.inv_zpow", "Matrix.inv_zpow'", "Matrix.isAdjMatrix_compl", "Matrix.isAdjointPair_equiv", "Matrix.isAdjointPair_equiv'", "Matrix.isDiag_conjTranspose_iff", "Matrix.isDiag_diagonal", "Matrix.isDiag_fromBlocks_iff", "Matrix.isDiag_iff_diagonal_diag", "Matrix.isDiag_neg_iff", "Matrix.isDiag_one", "Matrix.isDiag_smul_one", "Matrix.isDiag_zero", "Matrix.isHermitian_conjTranspose_mul_mul", "Matrix.isHermitian_diagonal_iff", "Matrix.isHermitian_iff_isSymmetric", "Matrix.isHermitian_inv", "Matrix.isHermitian_mul_conjTranspose_self", "Matrix.isHermitian_mul_mul_conjTranspose", "Matrix.isHermitian_one", "Matrix.isHermitian_submatrix_equiv", "Matrix.isHermitian_transpose_iff", "Matrix.isHermitian_transpose_mul_self", "Matrix.isNilpotent_charpoly_sub_pow_of_isNilpotent", "Matrix.isNilpotent_trace_of_isNilpotent", "Matrix.isRegular_of_isLeftRegular_det", "Matrix.isRepresentation.eq_toEnd_of_represents", "Matrix.isRepresentation.toEnd_exists_mem_ideal", "Matrix.isSkewAdjoint_bracket", "Matrix.isSymm_compl", "Matrix.isSymm_diagonal", "Matrix.isSymm_fromBlocks_iff", "Matrix.isSymm_mul_transpose_self", "Matrix.isSymm_one", "Matrix.isSymm_transpose_mul_self", "Matrix.isUnit_charpolyRev_of_isNilpotent", "Matrix.isUnit_conjTranspose", "Matrix.isUnit_det_J", "Matrix.isUnit_det_of_invertible", "Matrix.isUnit_det_of_left_inverse", "Matrix.isUnit_det_of_right_inverse", "Matrix.isUnit_det_transpose", "Matrix.isUnit_det_zpow_iff", "Matrix.isUnit_diagonal", "Matrix.isUnit_exp", "Matrix.isUnit_fromBlocks_iff_of_invertible\u2081\u2081", "Matrix.isUnit_fromBlocks_iff_of_invertible\u2082\u2082", "Matrix.isUnit_fromBlocks_zero\u2081\u2082", "Matrix.isUnit_fromBlocks_zero\u2082\u2081", "Matrix.isUnit_iff_isUnit_det", "Matrix.isUnit_nonsing_inv_det_iff", "Matrix.isUnit_of_left_inverse", "Matrix.isUnit_of_right_inverse", "Matrix.isUnit_submatrix_equiv", "Matrix.isUnit_transpose", "Matrix.ker_diagonal_toLin'", "Matrix.ker_mulVecLin_conjTranspose_mul_self", "Matrix.ker_mulVecLin_eq_bot_iff", "Matrix.ker_mulVecLin_transpose_mul_self", "Matrix.ker_toLin'_eq_bot_iff", "Matrix.kroneckerMapBilinear_mul_mul", "Matrix.kroneckerMap_add_right", "Matrix.kroneckerMap_apply", "Matrix.kroneckerMap_assoc", "Matrix.kroneckerMap_diagonal_diagonal", "Matrix.kroneckerMap_diagonal_left", "Matrix.kroneckerMap_diagonal_right", "Matrix.kroneckerMap_one_one", "Matrix.kroneckerMap_reindex", "Matrix.kroneckerMap_reindex_right", "Matrix.kroneckerMap_smul_left", "Matrix.kroneckerMap_zero_left", "Matrix.kroneckerTMul_add", "Matrix.kroneckerTMul_assoc", "Matrix.kroneckerTMul_assoc'", "Matrix.kroneckerTMul_smul", "Matrix.kroneckerTMul_zero", "Matrix.kronecker_assoc", "Matrix.kronecker_diagonal", "Matrix.kronecker_ofNat", "Matrix.kronecker_one", "Matrix.kronecker_smul", "Matrix.l2_opNNNorm_conjTranspose", "Matrix.l2_opNNNorm_def", "Matrix.l2_opNNNorm_mul", "Matrix.l2_opNNNorm_mulVec", "Matrix.l2_opNorm_conjTranspose", "Matrix.l2_opNorm_conjTranspose_mul_self", "Matrix.l2_opNorm_def", "Matrix.l2_opNorm_mul", "Matrix.l2_opNorm_mulVec", "Matrix.left_inv_eq_left_inv", "Matrix.lieConj_apply", "Matrix.lieConj_symm_apply", "Matrix.lie_transpose", "Matrix.linearIndependent_cols_iff_isUnit", "Matrix.linearIndependent_cols_of_invertible", "Matrix.linearIndependent_rows_iff_isUnit", "Matrix.linftyOpBoundedSMul", "Matrix.linfty_opNNNorm_col", "Matrix.linfty_opNNNorm_def", "Matrix.linfty_opNNNorm_diagonal", "Matrix.linfty_opNNNorm_eq_opNNNorm", "Matrix.linfty_opNNNorm_mul", "Matrix.linfty_opNNNorm_mulVec", "Matrix.linfty_opNNNorm_row", "Matrix.linfty_opNNNorm_toMatrix", "Matrix.linfty_opNorm_col", "Matrix.linfty_opNorm_def", "Matrix.linfty_opNorm_diagonal", "Matrix.linfty_opNorm_row", "Matrix.linfty_opNorm_toMatrix", "Matrix.list_prod_inv_reverse", "Matrix.map_algebraMap", "Matrix.map_apply", "Matrix.map_circulant", "Matrix.map_id", "Matrix.map_id'", "Matrix.map_injective", "Matrix.map_intCast", "Matrix.map_map", "Matrix.map_mul", "Matrix.map_natCast", "Matrix.map_ofNat", "Matrix.map_one", "Matrix.map_op_smul'", "Matrix.map_smul", "Matrix.map_smul'", "Matrix.map_sub", "Matrix.map_updateColumn", "Matrix.map_updateRow", "Matrix.map_zero", "Matrix.matPolyEquiv_charmatrix", "Matrix.matPolyEquiv_eval", "Matrix.matPolyEquiv_eval_eq_map", "Matrix.matPolyEquiv_symm_map_eval", "Matrix.matrixOfPolynomials_blockTriangular", "Matrix.matrix_eq_sum_std_basis", "Matrix.mem_glpos", "Matrix.mem_orthogonalGroup_iff", "Matrix.mem_range_scalar_iff_commute_stdBasisMatrix", "Matrix.mem_range_scalar_iff_commute_stdBasisMatrix'", "Matrix.mem_range_scalar_iff_commute_transvectionStruct", "Matrix.mem_range_scalar_of_commute_stdBasisMatrix", "Matrix.mem_range_scalar_of_commute_transvectionStruct", "Matrix.mem_specialOrthogonalGroup_iff", "Matrix.mem_specialUnitaryGroup_iff", "Matrix.mem_unitaryGroup_iff", "Matrix.minpoly_toLin'", "Matrix.mulVecLin_add", "Matrix.mulVecLin_apply", "Matrix.mulVecLin_mul", "Matrix.mulVecLin_one", "Matrix.mulVecLin_reindex", "Matrix.mulVecLin_submatrix", "Matrix.mulVecLin_transpose", "Matrix.mulVec_add", "Matrix.mulVec_cons", "Matrix.mulVec_cramer", "Matrix.mulVec_diagonal", "Matrix.mulVec_empty", "Matrix.mulVec_injective_iff", "Matrix.mulVec_injective_iff_isUnit", "Matrix.mulVec_mulVec", "Matrix.mulVec_neg", "Matrix.mulVec_one", "Matrix.mulVec_single", "Matrix.mulVec_smul", "Matrix.mulVec_smul_assoc", "Matrix.mulVec_stdBasis", "Matrix.mulVec_stdBasisMatrix", "Matrix.mulVec_stdBasis_apply", "Matrix.mulVec_sub", "Matrix.mulVec_surjective_iff_exists_right_inverse", "Matrix.mulVec_surjective_of_invertible", "Matrix.mulVec_transpose", "Matrix.mulVec_vecMul", "Matrix.mulVec_zero", "Matrix.mulVec\u1d63_eq", "Matrix.mul_add", "Matrix.mul_adjugate", "Matrix.mul_adjugate_apply", "Matrix.mul_apply", "Matrix.mul_apply_eq_vecMul", "Matrix.mul_assoc", "Matrix.mul_conjTranspose_mul_self_eq_zero", "Matrix.mul_diagonal", "Matrix.mul_empty", "Matrix.mul_eq_one_comm", "Matrix.mul_fin_three", "Matrix.mul_fin_two", "Matrix.mul_fromColumns", "Matrix.mul_invOf_mul_self_cancel", "Matrix.mul_invOf_self_assoc", "Matrix.mul_inv_cancel_right_of_invertible", "Matrix.mul_inv_eq_iff_eq_mul_of_invertible", "Matrix.mul_inv_of_invertible", "Matrix.mul_inv_rev", "Matrix.mul_kroneckerTMul_mul", "Matrix.mul_kronecker_mul", "Matrix.mul_left_injective_of_invertible", "Matrix.mul_mul_apply", "Matrix.mul_mul_invOf_self_cancel", "Matrix.mul_mul_left", "Matrix.mul_mul_right", "Matrix.mul_neg", "Matrix.mul_nonsing_inv", "Matrix.mul_nonsing_inv_cancel_left", "Matrix.mul_one", "Matrix.mul_reindexLinearEquiv_one", "Matrix.mul_right_injective_of_inv", "Matrix.mul_self_mul_conjTranspose_eq_zero", "Matrix.mul_smul", "Matrix.mul_sub", "Matrix.mul_submatrix_one", "Matrix.mul_transvection_apply_of_ne", "Matrix.mul_transvection_apply_same", "Matrix.mul_unitOf", "Matrix.mul_val_succ", "Matrix.mul_zero", "Matrix.mul\u1d63_eq", "Matrix.mvPolynomialX_mapMatrix_aeval", "Matrix.mvPolynomialX_mapMatrix_eval", "Matrix.mvPolynomialX_map_eval\u2082", "Matrix.natCast_fin_three", "Matrix.natCast_fin_two", "Matrix.natCast_kronecker", "Matrix.natCast_mulVec", "Matrix.neg_apply", "Matrix.neg_cons", "Matrix.neg_dotProduct", "Matrix.neg_dotProduct_neg", "Matrix.neg_empty", "Matrix.neg_mul", "Matrix.neg_mulVec", "Matrix.neg_mulVec_neg", "Matrix.neg_vecMul", "Matrix.neg_vecMul_neg", "Matrix.nnnorm_col", "Matrix.nnnorm_def", "Matrix.nnnorm_diagonal", "Matrix.nnnorm_entry_le_entrywise_sup_nnnorm", "Matrix.nnnorm_lt_iff", "Matrix.nnnorm_map_eq", "Matrix.nnnorm_row", "Matrix.nondegenerate_iff_det_ne_zero", "Matrix.nondegenerate_of_det_ne_zero", "Matrix.nondegenerate_toBilin'_iff", "Matrix.nondegenerate_toBilin_iff", "Matrix.nonsing_inv_apply", "Matrix.nonsing_inv_apply_not_isUnit", "Matrix.nonsing_inv_cancel_or_zero", "Matrix.nonsing_inv_eq_ring_inverse", "Matrix.nonsing_inv_mul", "Matrix.nonsing_inv_mul_cancel_left", "Matrix.nonsing_inv_mul_cancel_right", "Matrix.nonsing_inv_nonsing_inv", "Matrix.norm_col", "Matrix.norm_conjTranspose", "Matrix.norm_entry_le_entrywise_sup_norm", "Matrix.norm_eq_sup_sup_nnnorm", "Matrix.norm_le_iff", "Matrix.norm_lt_iff", "Matrix.norm_row", "Matrix.norm_transpose", "Matrix.norm_unitOf", "Matrix.ofNat_fin_two", "Matrix.ofNat_kronecker", "Matrix.ofNat_mulVec", "Matrix.of_add_of", "Matrix.of_apply", "Matrix.of_sub_of", "Matrix.of_symm_apply", "Matrix.of_zero", "Matrix.one_apply", "Matrix.one_apply_eq", "Matrix.one_apply_ne", "Matrix.one_div_pow", "Matrix.one_div_zpow", "Matrix.one_dotProduct_one", "Matrix.one_eq_pi_single", "Matrix.one_fin_three", "Matrix.one_kroneckerTMul_one", "Matrix.one_kronecker_one", "Matrix.one_mul", "Matrix.one_mulVec", "Matrix.one_submatrix_mul", "Matrix.one_zpow", "Matrix.op_smul_one_eq_diagonal", "Matrix.piLp_equiv_toEuclideanCLM", "Matrix.piLp_equiv_toEuclideanLin", "Matrix.posSemidef_conjTranspose_mul_self", "Matrix.posSemidef_diagonal_iff", "Matrix.posSemidef_iff_eq_transpose_mul_self", "Matrix.posSemidef_self_mul_conjTranspose", "Matrix.posSemidef_submatrix_equiv", "Matrix.pow_eq_aeval_mod_charpoly", "Matrix.pow_inv_comm'", "Matrix.pow_sub'", "Matrix.range_cons", "Matrix.range_cons_cons_empty", "Matrix.range_cons_empty", "Matrix.range_diagonal", "Matrix.range_empty", "Matrix.range_mulVecLin", "Matrix.range_toLin'", "Matrix.range_toLin_eq_top", "Matrix.rank_conjTranspose", "Matrix.rank_conjTranspose_mul_self", "Matrix.rank_diagonal", "Matrix.rank_eq_finrank_range_toLin", "Matrix.rank_eq_finrank_span_cols", "Matrix.rank_eq_finrank_span_row", "Matrix.rank_le_card_height", "Matrix.rank_le_card_width", "Matrix.rank_mul_eq_left_of_isUnit_det", "Matrix.rank_mul_eq_right_of_isUnit_det", "Matrix.rank_mul_le", "Matrix.rank_mul_le_left", "Matrix.rank_mul_le_right", "Matrix.rank_one", "Matrix.rank_reindex", "Matrix.rank_self_mul_conjTranspose", "Matrix.rank_self_mul_transpose", "Matrix.rank_submatrix", "Matrix.rank_submatrix_le", "Matrix.rank_transpose", "Matrix.rank_transpose_mul_self", "Matrix.rank_unit", "Matrix.rank_vecMulVec", "Matrix.rank_zero", "Matrix.reindexAlgEquiv_apply", "Matrix.reindexAlgEquiv_symm", "Matrix.reindexLinearEquiv_comp", "Matrix.reindexLinearEquiv_comp_apply", "Matrix.reindexLinearEquiv_mul", "Matrix.reindexLinearEquiv_one", "Matrix.reindexLinearEquiv_symm", "Matrix.reindex_apply", "Matrix.reindex_refl_refl", "Matrix.reindex_trans", "Matrix.reindex_updateColumn", "Matrix.reindex_updateRow", "Matrix.represents_iff'", "Matrix.reverse_charpoly", "Matrix.right_inv_eq_right_inv", "Matrix.row_apply", "Matrix.row_cons", "Matrix.row_empty", "Matrix.row_eq_zero", "Matrix.row_eq_zero_of_commute_stdBasisMatrix", "Matrix.row_inj", "Matrix.row_mulVec", "Matrix.row_mul_col_apply", "Matrix.row_smul", "Matrix.row_zero", "Matrix.scalar_apply", "Matrix.scalar_commute_iff", "Matrix.scalar_inj", "Matrix.schur_complement_eq\u2081\u2081", "Matrix.schur_complement_eq\u2082\u2082", "Matrix.self_mul_conjTranspose_eq_zero", "Matrix.self_mul_conjTranspose_mulVec_eq_zero", "Matrix.self_mul_conjTranspose_mul_eq_zero", "Matrix.separatingLeft_toLinearMap\u2082_iff", "Matrix.single_dotProduct", "Matrix.single_vecMul", "Matrix.single_vecMul_diagonal", "Matrix.smul_apply", "Matrix.smul_cons", "Matrix.smul_dotProduct", "Matrix.smul_eq_diagonal_mul", "Matrix.smul_eq_mul_diagonal", "Matrix.smul_kronecker", "Matrix.smul_mat_cons", "Matrix.smul_mat_empty", "Matrix.smul_mul", "Matrix.smul_mulVec_assoc", "Matrix.smul_of", "Matrix.smul_one_eq_diagonal", "Matrix.smul_stdBasisMatrix", "Matrix.smul_vec2", "Matrix.smul_vec3", "Matrix.star_dotProduct", "Matrix.star_dotProduct_star", "Matrix.star_mul", "Matrix.star_mulVec", "Matrix.stdBasisMatrix_add", "Matrix.stdBasisMatrix_zero", "Matrix.stdBasis_eq_stdBasisMatrix", "Matrix.std_basis_eq_basis_mul_basis", "Matrix.sub_apply", "Matrix.sub_cons", "Matrix.sub_dotProduct", "Matrix.sub_mul", "Matrix.sub_mulVec", "Matrix.sub_vecMul", "Matrix.submatrix_add", "Matrix.submatrix_apply", "Matrix.submatrix_cons_row", "Matrix.submatrix_diagonal", "Matrix.submatrix_diagonal_embedding", "Matrix.submatrix_diagonal_equiv", "Matrix.submatrix_empty", "Matrix.submatrix_id_id", "Matrix.submatrix_map", "Matrix.submatrix_mulVec_equiv", "Matrix.submatrix_mul_equiv", "Matrix.submatrix_mul_transpose_submatrix", "Matrix.submatrix_one_embedding", "Matrix.submatrix_sub", "Matrix.submatrix_submatrix", "Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_det", "Matrix.submatrix_succAbove_det_eq_negOnePow_submatrix_succAbove_det'", "Matrix.submatrix_updateColumn_equiv", "Matrix.submatrix_updateRow_equiv", "Matrix.submatrix_updateRow_succAbove", "Matrix.submatrix_zero", "Matrix.sum_apply", "Matrix.sum_cramer", "Matrix.sum_cramer_apply", "Matrix.sum_elim_dotProduct_sum_elim", "Matrix.sum_elim_vecMul_fromRows", "Matrix.tail_add", "Matrix.tail_neg", "Matrix.tail_transpose", "Matrix.tail_val'", "Matrix.tail_zero", "Matrix.toBilin'Aux_eq", "Matrix.toBilin'_apply", "Matrix.toBilin'_apply'", "Matrix.toBilin'_comp", "Matrix.toBilin'_stdBasis", "Matrix.toBilin'_toMatrix'", "Matrix.toBilin_basisFun", "Matrix.toBilin_comp", "Matrix.toBilin_toMatrix", "Matrix.toBlock_apply", "Matrix.toBlock_diagonal_disjoint", "Matrix.toBlock_diagonal_self", "Matrix.toBlock_inverse_eq_zero", "Matrix.toBlock_mul_eq_add", "Matrix.toBlock_mul_eq_mul", "Matrix.toBlock_one_disjoint", "Matrix.toBlocks_fromBlocks\u2081\u2082", "Matrix.toBlocks_fromBlocks\u2082\u2082", "Matrix.toBlocks\u2081\u2081_diagonal", "Matrix.toBlocks\u2082\u2081_diagonal", "Matrix.toBlocks\u2082\u2082_diagonal", "Matrix.toColumns\u2081_apply", "Matrix.toColumns\u2081_fromColumns", "Matrix.toColumns\u2082_apply", "Matrix.toColumns\u2082_fromColumns", "Matrix.toEuclideanCLM_piLp_equiv_symm", "Matrix.toEuclideanLin_conjTranspose_eq_adjoint", "Matrix.toEuclideanLin_eq_toLin", "Matrix.toLin'_apply", "Matrix.toLin'_apply'", "Matrix.toLin'_mul", "Matrix.toLin'_mul_apply", "Matrix.toLin'_one", "Matrix.toLin'_submatrix", "Matrix.toLin'_symm", "Matrix.toLin'_toMatrix'", "Matrix.toLinAlgEquiv'_one", "Matrix.toLinAlgEquiv'_symm", "Matrix.toLinAlgEquiv'_toMatrixAlgEquiv'", "Matrix.toLinAlgEquiv_mul", "Matrix.toLinAlgEquiv_one", "Matrix.toLinAlgEquiv_symm", "Matrix.toLinAlgEquiv_toMatrixAlgEquiv", "Matrix.toLin_apply", "Matrix.toLin_conjTranspose", "Matrix.toLin_eq_toLin'", "Matrix.toLin_finTwoProd", "Matrix.toLin_finTwoProd_apply", "Matrix.toLin_finTwoProd_toContinuousLinearMap", "Matrix.toLin_kronecker", "Matrix.toLin_mul", "Matrix.toLin_mul_apply", "Matrix.toLin_one", "Matrix.toLin_self", "Matrix.toLin_symm", "Matrix.toLin_toMatrix", "Matrix.toLin_transpose", "Matrix.toLinearEquiv'_apply", "Matrix.toLinearEquiv'_symm_apply", "Matrix.toLinearMapRight'_one", "Matrix.toLinearMap\u2082'Aux_stdBasis", "Matrix.toLinearMap\u2082'_apply", "Matrix.toLinearMap\u2082'_apply'", "Matrix.toLinearMap\u2082'_comp", "Matrix.toLinearMap\u2082'_stdBasis", "Matrix.toLinearMap\u2082'_toMatrix'", "Matrix.toLinearMap\u2082_basisFun", "Matrix.toLinearMap\u2082_compl\u2081\u2082", "Matrix.toLinearMap\u2082_toMatrix\u2082", "Matrix.toLinearMap\u209b\u2097\u2082'_apply", "Matrix.toLinearMap\u209b\u2097\u2082'_aux_eq", "Matrix.toLinearMap\u209b\u2097\u2082'_stdBasis", "Matrix.toLinearMap\u209b\u2097\u2082'_symm", "Matrix.toMatrix\u2082Aux_toLinearMap\u2082'Aux", "Matrix.toMvPolynomial_add", "Matrix.toMvPolynomial_constantCoeff", "Matrix.toMvPolynomial_eval_eq_apply", "Matrix.toMvPolynomial_isHomogeneous", "Matrix.toMvPolynomial_map", "Matrix.toMvPolynomial_mul", "Matrix.toMvPolynomial_one", "Matrix.toMvPolynomial_zero", "Matrix.toRows\u2081_apply", "Matrix.toRows\u2081_fromRows", "Matrix.toRows\u2082_apply", "Matrix.toRows\u2082_fromRows", "Matrix.toSquareBlockProp_def", "Matrix.toSquareBlock_def", "Matrix.trace_add", "Matrix.trace_blockDiagonal", "Matrix.trace_blockDiagonal'", "Matrix.trace_col_mul_row", "Matrix.trace_conjTranspose", "Matrix.trace_diagonal", "Matrix.trace_eq_neg_charpoly_coeff", "Matrix.trace_eq_sum_roots_charpoly", "Matrix.trace_eq_sum_roots_charpoly_of_splits", "Matrix.trace_eq_zero_of_isEmpty", "Matrix.trace_fin_one", "Matrix.trace_fin_three", "Matrix.trace_fin_zero", "Matrix.trace_kronecker", "Matrix.trace_kroneckerMapBilinear", "Matrix.trace_kroneckerTMul", "Matrix.trace_mul_comm", "Matrix.trace_mul_cycle", "Matrix.trace_mul_cycle'", "Matrix.trace_multiset_sum", "Matrix.trace_neg", "Matrix.trace_one", "Matrix.trace_permutation", "Matrix.trace_smul", "Matrix.trace_sub", "Matrix.trace_submatrix_succ", "Matrix.trace_sum", "Matrix.trace_transpose", "Matrix.trace_transpose_mul", "Matrix.trace_zero", "Matrix.transposeLinearEquiv_symm", "Matrix.transpose_apply", "Matrix.transpose_col", "Matrix.transpose_empty_cols", "Matrix.transpose_empty_rows", "Matrix.transpose_eq_diagonal", "Matrix.transpose_eq_intCast", "Matrix.transpose_eq_natCast", "Matrix.transpose_eq_ofNat", "Matrix.transpose_eq_one", "Matrix.transpose_eq_zero", "Matrix.transpose_hasOrthogonalCols_iff_hasOrthogonalRows", "Matrix.transpose_hasOrthogonalRows_iff_hasOrthogonalCols", "Matrix.transpose_inj", "Matrix.transpose_injective", "Matrix.transpose_intCast", "Matrix.transpose_invOf", "Matrix.transpose_map", "Matrix.transpose_mul", "Matrix.transpose_mul_self_isDiag_iff_hasOrthogonalCols", "Matrix.transpose_multiset_sum", "Matrix.transpose_natCast", "Matrix.transpose_nonsing_inv", "Matrix.transpose_ofNat", "Matrix.transpose_one", "Matrix.transpose_pow", "Matrix.transpose_smul", "Matrix.transpose_sub", "Matrix.transpose_submatrix", "Matrix.transpose_transpose", "Matrix.transpose_tsum", "Matrix.transpose_zero", "Matrix.transpose_zpow", "Matrix.transpose\u1d63_eq", "Matrix.transvection_mul_apply_of_ne", "Matrix.transvection_mul_apply_same", "Matrix.transvection_mul_transvection_same", "Matrix.transvection_zero", "Matrix.twoBlockTriangular_det", "Matrix.twoBlockTriangular_det'", "Matrix.two_mul_expl", "Matrix.uniformContinuous", "Matrix.uniformity", "Matrix.updateColumn_apply", "Matrix.updateColumn_conjTranspose", "Matrix.updateColumn_eq_self", "Matrix.updateColumn_ne", "Matrix.updateColumn_reindex", "Matrix.updateColumn_self", "Matrix.updateColumn_submatrix_equiv", "Matrix.updateColumn_subsingleton", "Matrix.updateColumn_transpose", "Matrix.updateRow_apply", "Matrix.updateRow_conjTranspose", "Matrix.updateRow_eq_self", "Matrix.updateRow_eq_transvection", "Matrix.updateRow_ne", "Matrix.updateRow_self", "Matrix.updateRow_submatrix_equiv", "Matrix.updateRow_subsingleton", "Matrix.updateRow_transpose", "Matrix.vandermonde_apply", "Matrix.vandermonde_cons", "Matrix.vandermonde_mul_vandermonde_transpose", "Matrix.vandermonde_transpose_mul_vandermonde", "Matrix.vec2_dotProduct'", "Matrix.vec2_eq", "Matrix.vec3_dotProduct", "Matrix.vec3_dotProduct'", "Matrix.vec3_eq", "Matrix.vecAlt0_vecAppend", "Matrix.vecAlt1_vecAppend", "Matrix.vecAppend_apply_zero", "Matrix.vecAppend_eq_ite", "Matrix.vecHead_vecAlt0", "Matrix.vecHead_vecAlt1", "Matrix.vecMulLinear_transpose", "Matrix.vecMulVec_apply", "Matrix.vecMulVec_eq", "Matrix.vecMul_add", "Matrix.vecMul_conjTranspose_mul_self_eq_zero", "Matrix.vecMul_cons", "Matrix.vecMul_diagonal", "Matrix.vecMul_diagonal_const", "Matrix.vecMul_empty", "Matrix.vecMul_fromBlocks", "Matrix.vecMul_injective_iff", "Matrix.vecMul_injective_iff_isUnit", "Matrix.vecMul_injective_of_invertible", "Matrix.vecMul_mulVec", "Matrix.vecMul_natCast", "Matrix.vecMul_neg", "Matrix.vecMul_one", "Matrix.vecMul_self_mul_conjTranspose_eq_zero", "Matrix.vecMul_smul", "Matrix.vecMul_stdBasis", "Matrix.vecMul_sub", "Matrix.vecMul_surjective_iff_exists_left_inverse", "Matrix.vecMul_surjective_iff_isUnit", "Matrix.vecMul_surjective_of_invertible", "Matrix.vecMul_transpose", "Matrix.vecMul_vecMul", "Matrix.vecMul\u1d63_eq", "Matrix.vec_one_mul", "Matrix.zero_dotProduct", "Matrix.zero_dotProduct'", "Matrix.zero_empty", "Matrix.zero_hadamard", "Matrix.zero_kronecker", "Matrix.zero_kroneckerTMul", "Matrix.zero_le_one_row", "Matrix.zero_mul", "Matrix.zero_mulVec", "Matrix.zero_zpow", "Matrix.zpow_add", "Matrix.zpow_add_of_nonneg", "Matrix.zpow_add_of_nonpos", "Matrix.zpow_add_one", "Matrix.zpow_add_one_of_ne_neg_one", "Matrix.zpow_bit0", "Matrix.zpow_bit0'", "Matrix.zpow_bit1", "Matrix.zpow_bit1'", "Matrix.zpow_mul", "Matrix.zpow_ne_zero_of_isUnit_det", "Matrix.zpow_neg", "Matrix.zpow_neg_natCast", "Matrix.zpow_neg_one", "Matrix.zpow_one_add", "Matrix.zpow_sub", "Matrix.zpow_sub_one", "MatrixEquivTensor.invFun_add", "MatrixEquivTensor.invFun_algebraMap", "MatrixEquivTensor.invFun_smul", "MatrixEquivTensor.left_inv", "MatrixEquivTensor.right_inv", "MatrixEquivTensor.toFunAlgHom_apply", "MatrixEquivTensor.toFunBilinear_apply", "Matroid.Base.basis_ground", "Matroid.Base.basis_of_restriction", "Matroid.Base.basis_of_subset", "Matroid.Base.card_eq_card_of_base", "Matroid.Base.compl_base_dual", "Matroid.Base.compl_base_of_dual", "Matroid.Base.compl_inter_basis_of_inter_basis", "Matroid.Base.dep_of_insert", "Matroid.Base.dep_of_ssubset", "Matroid.Base.diff_finite_comm", "Matroid.Base.encard_diff_comm", "Matroid.Base.eq_exchange_of_diff_eq_singleton", "Matroid.Base.eq_of_subset_base", "Matroid.Base.eq_of_subset_indep", "Matroid.Base.exchange", "Matroid.Base.exchange_base_of_indep", "Matroid.Base.exchange_base_of_indep'", "Matroid.Base.exchange_mem", "Matroid.Base.exists_insert_of_ssubset", "Matroid.Base.finite", "Matroid.Base.finiteRk_of_finite", "Matroid.Base.finite_of_finite", "Matroid.Base.indep", "Matroid.Base.infiniteRk_of_infinite", "Matroid.Base.infinite_of_infinite", "Matroid.Base.insert_dep", "Matroid.Base.insert_not_base", "Matroid.Base.inter_basis_iff_compl_inter_basis_dual", "Matroid.Base.map", "Matroid.Base.mapEmbedding", "Matroid.Base.mem_of_insert_indep", "Matroid.Base.ncard_diff_comm", "Matroid.Base.ncard_eq_ncard_of_base", "Matroid.Base.nonempty", "Matroid.Base.not_base_of_ssubset", "Matroid.Base.rkPos_of_nonempty", "Matroid.Base.subset_ground", "Matroid.Basis'.basis", "Matroid.Basis'.encard_eq_encard", "Matroid.Basis'.indep", "Matroid.Basis'.insert_not_indep", "Matroid.Basis'.inter_eq_of_subset_indep", "Matroid.Basis'.mem_of_insert_indep", "Matroid.Basis'.subset", "Matroid.Basis.Finite", "Matroid.Basis.base_of_base_subset", "Matroid.Basis.base_restrict", "Matroid.Basis.basis'", "Matroid.Basis.basis_iUnion", "Matroid.Basis.basis_inter_ground", "Matroid.Basis.basis_of_basis_of_subset_of_subset", "Matroid.Basis.basis_restrict_of_subset", "Matroid.Basis.basis_restriction", "Matroid.Basis.basis_sUnion", "Matroid.Basis.basis_subset", "Matroid.Basis.basis_union", "Matroid.Basis.basis_union_of_subset", "Matroid.Basis.dep_of_ssubset", "Matroid.Basis.encard_eq_encard", "Matroid.Basis.eq_exchange_of_diff_eq_singleton", "Matroid.Basis.exchange", "Matroid.Basis.exists_base", "Matroid.Basis.exists_basis_inter_eq_of_superset", "Matroid.Basis.iUnion_basis_iUnion", "Matroid.Basis.insert_basis_insert", "Matroid.Basis.insert_dep", "Matroid.Basis.inter_eq_of_subset_indep", "Matroid.Basis.left_subset_ground", "Matroid.Basis.map", "Matroid.Basis.mapEmbedding", "Matroid.Basis.mem_of_insert_indep", "Matroid.Basis.of_restriction", "Matroid.Basis.restrict_base", "Matroid.Basis.transfer", "Matroid.Basis.union_basis_union", "Matroid.Coindep.indep", "Matroid.Dep.nonempty", "Matroid.Dep.not_indep", "Matroid.Dep.of_restriction", "Matroid.Dep.subset_ground", "Matroid.Dep.superset", "Matroid.ExchangeProperty.encard_base_eq", "Matroid.ExchangeProperty.encard_diff_le_aux", "Matroid.Indep.augment", "Matroid.Indep.basis_iff_forall_insert_dep", "Matroid.Indep.basis_insert_iff", "Matroid.Indep.basis_of_forall_insert", "Matroid.Indep.basis_of_maximal_subset", "Matroid.Indep.basis_self", "Matroid.Indep.basis_setOf_insert_basis", "Matroid.Indep.coindep", "Matroid.Indep.diff", "Matroid.Indep.eq_of_basis", "Matroid.Indep.exists_base_subset_union_base", "Matroid.Indep.exists_base_superset", "Matroid.Indep.exists_basis_subset_union_basis", "Matroid.Indep.exists_bijOn_of_map", "Matroid.Indep.exists_eq_image_of_mapSetEmbedding", "Matroid.Indep.exists_insert_of_not_base", "Matroid.Indep.exists_insert_of_not_basis", "Matroid.Indep.exists_insert_of_not_mem_maximals", "Matroid.Indep.finite", "Matroid.Indep.map", "Matroid.Indep.mapEmbedding", "Matroid.Indep.not_dep", "Matroid.Indep.of_restrict", "Matroid.Indep.of_restriction", "Matroid.Indep.rkPos_of_nonempty", "Matroid.Indep.subset", "Matroid.Indep.subset_basis'_of_subset", "Matroid.Indep.subset_basis_of_subset", "Matroid.Matroid\u1d63.coe_inj", "Matroid.Matroid\u1d63.le_iff", "Matroid.Matroid\u1d63.lt_iff", "Matroid.Restriction.antisymm", "Matroid.Restriction.eq_or_strictRestriction", "Matroid.Restriction.eq_restrict", "Matroid.Restriction.exists_eq_restrict", "Matroid.Restriction.finitary", "Matroid.Restriction.finite", "Matroid.Restriction.finiteRk", "Matroid.Restriction.of_subset", "Matroid.Restriction.trans", "Matroid.StrictRestriction.eq_restrict", "Matroid.StrictRestriction.irrefl", "Matroid.StrictRestriction.restriction", "Matroid.StrictRestriction.ssubset", "Matroid.base_compl_iff_mem_maximals_disjoint_base", "Matroid.base_iff_dual_base_compl", "Matroid.base_iff_maximal_indep", "Matroid.base_restrict_iff", "Matroid.base_restrict_iff'", "Matroid.basis'_iff_basis", "Matroid.basis'_iff_basis_inter_ground", "Matroid.basis'_restrict_iff", "Matroid.basis_empty_iff", "Matroid.basis_ground_iff", "Matroid.basis_iff", "Matroid.basis_iff'", "Matroid.basis_iff_basis'_subset_ground", "Matroid.basis_iff_mem_maximals", "Matroid.basis_iff_mem_maximals_Prop", "Matroid.basis_restrict_iff", "Matroid.basis_restrict_iff'", "Matroid.basis_self_iff_indep", "Matroid.coindep_def", "Matroid.coindep_iff_exists", "Matroid.coindep_iff_exists'", "Matroid.coindep_iff_subset_compl_base", "Matroid.comapOn_base_iff", "Matroid.comapOn_base_iff_of_bijOn", "Matroid.comapOn_base_iff_of_surjOn", "Matroid.comapOn_dual_eq_of_bijOn", "Matroid.comapOn_ground_eq", "Matroid.comapOn_indep_iff", "Matroid.comapOn_preimage_eq", "Matroid.comap_basis'_iff", "Matroid.comap_basis_iff", "Matroid.comap_dep_iff", "Matroid.comap_ground_eq", "Matroid.comap_indep_iff", "Matroid.comap_indep_iff_of_injOn", "Matroid.comap_loopyOn", "Matroid.comap_map", "Matroid.dep_of_not_indep", "Matroid.diff_subset_ground", "Matroid.dual_base_iff", "Matroid.dual_base_iff'", "Matroid.dual_dep_iff_forall", "Matroid.dual_dual", "Matroid.dual_ground", "Matroid.dual_indep_iff_exists", "Matroid.dual_indep_iff_exists'", "Matroid.dual_inj", "Matroid.dual_injective", "Matroid.dual_involutive", "Matroid.emptyOn_base_iff", "Matroid.emptyOn_dual_eq", "Matroid.emptyOn_ground", "Matroid.emptyOn_indep_iff", "Matroid.empty_base_iff", "Matroid.empty_not_base", "Matroid.eq_dual_comm", "Matroid.eq_emptyOn", "Matroid.eq_emptyOn_or_nonempty", "Matroid.eq_freeOn_iff", "Matroid.eq_iff_indep_iff_indep_forall", "Matroid.eq_loopyOn_iff", "Matroid.eq_loopyOn_or_rkPos", "Matroid.eq_of_indep_iff_indep_forall", "Matroid.eq_of_restrictSubtype_eq", "Matroid.existsMaximalSubsetProperty_indep", "Matroid.existsMaximalSubsetProperty_of_bdd", "Matroid.exists_basis'", "Matroid.exists_basis_disjoint_basis_of_subset", "Matroid.exists_basis_subset_basis", "Matroid.exists_basis_union_inter_basis", "Matroid.finite_or_infiniteRk", "Matroid.finite_setOf_matroid", "Matroid.finite_setOf_matroid'", "Matroid.finite_setOf_restriction", "Matroid.freeOn_base_iff", "Matroid.freeOn_basis'_iff", "Matroid.freeOn_basis_iff", "Matroid.freeOn_dual_eq", "Matroid.freeOn_empty", "Matroid.freeOn_ground", "Matroid.freeOn_indep", "Matroid.freeOn_indep_iff", "Matroid.freeOn_restrict", "Matroid.ground_diff_subset_ground", "Matroid.ground_eq_empty_iff", "Matroid.ground_indep_iff_base", "Matroid.ground_nonempty", "Matroid.ground_not_base", "Matroid.ground_subset_ground", "Matroid.indep_iff_forall_finite_subset_indep", "Matroid.indep_iff_not_dep", "Matroid.indep_of_not_dep", "Matroid.indep_or_dep", "Matroid.insert_subset_ground", "Matroid.inter_left_subset_ground", "Matroid.inter_right_subset_ground", "Matroid.loopyOn_base_iff", "Matroid.loopyOn_basis_iff", "Matroid.loopyOn_dual_eq", "Matroid.loopyOn_empty", "Matroid.loopyOn_indep_iff", "Matroid.loopyOn_restrict", "Matroid.mapEmbedding_ground_eq", "Matroid.mapEmbedding_indep_iff", "Matroid.mapEquiv_base_iff", "Matroid.mapEquiv_dep_iff", "Matroid.mapEquiv_eq_map", "Matroid.mapEquiv_ground_eq", "Matroid.mapEquiv_indep_iff", "Matroid.mapSetEmbedding_indep_iff", "Matroid.mapSetEmbedding_indep_iff'", "Matroid.mapSetEquiv.ground", "Matroid.map_base_iff", "Matroid.map_basis_iff'", "Matroid.map_comap", "Matroid.map_dep_iff", "Matroid.map_dual", "Matroid.map_ground", "Matroid.map_id", "Matroid.map_image_base_iff", "Matroid.map_image_indep_iff", "Matroid.map_indep_iff", "Matroid.map_loopyOn", "Matroid.map_val_restrictSubtype_eq", "Matroid.map_val_restrictSubtype_ground_eq", "Matroid.mem_ground_of_mem_of_subset", "Matroid.not_dep_iff", "Matroid.not_finiteRk", "Matroid.not_indep_iff", "Matroid.not_infiniteRk", "Matroid.not_rkPos_iff", "Matroid.ofBaseOfFinite_E", "Matroid.ofBaseOfFinite_base", "Matroid.ofExistsFiniteBase_base", "Matroid.ofMatroid_le_iff", "Matroid.ofMatroid_lt_iff", "Matroid.restrictSubtype_dual", "Matroid.restrictSubtype_dual'", "Matroid.restrictSubtype_ground", "Matroid.restrictSubtype_indep_iff", "Matroid.restrictSubtype_indep_iff_of_subset", "Matroid.restrictSubtype_inter_indep_iff", "Matroid.restrict_dep_iff", "Matroid.restrict_empty", "Matroid.restrict_eq_freeOn_iff", "Matroid.restrict_eq_restrict_iff", "Matroid.restrict_eq_self_iff", "Matroid.restrict_finite", "Matroid.restrict_ground_eq", "Matroid.restrict_ground_eq_self", "Matroid.restrict_idem", "Matroid.restrict_indep_iff", "Matroid.restrict_restrict_eq", "Matroid.restrict_restriction", "Matroid.restrict_strictRestriction", "Matroid.restriction_iff_exists", "Matroid.rkPos_iff_empty_not_base", "Matroid.setOf_base_eq_maximals_setOf_indep", "Matroid.setOf_basis_eq", "Matroid.setOf_dep_eq", "Matroid.setOf_dual_base_eq", "Matroid.singleton_subset_ground", "Matroid.subset_ground_of_subset", "Matroid.uniqueBaseOn_base_iff", "Matroid.uniqueBaseOn_basis_iff", "Matroid.uniqueBaseOn_dual_eq", "Matroid.uniqueBaseOn_empty", "Matroid.uniqueBaseOn_indep_iff", "Matroid.uniqueBaseOn_indep_iff'", "Matroid.uniqueBaseOn_inter_basis", "Matroid.uniqueBaseOn_inter_ground_eq", "Matroid.uniqueBaseOn_restrict", "Matroid.uniqueBaseOn_restrict'", "Matroid.uniqueBaseOn_self", "Max.left_comm", "Max.right_comm", "MaximalSpectrum.iInf_localization_eq_bot", "MaximalSpectrum.toPrimeSpectrum_continuous", "MaximalSpectrum.toPrimeSpectrum_injective", "MaximalSpectrum.toPrimeSpectrum_range", "Measurable.add_simpleFunc", "Measurable.add_stronglyMeasurable", "Measurable.aemeasurable", "Measurable.aestronglyMeasurable", "Measurable.carg", "Measurable.ccos", "Measurable.ceil", "Measurable.cexp", "Measurable.clog", "Measurable.coe_ereal_ennreal", "Measurable.coe_nnreal_ennreal", "Measurable.coe_nnreal_real", "Measurable.comp", "Measurable.comp'", "Measurable.comp_aemeasurable", "Measurable.comp_aemeasurable'", "Measurable.const_inner", "Measurable.const_mul", "Measurable.const_pow", "Measurable.const_sup", "Measurable.cosh", "Measurable.csin", "Measurable.csinh", "Measurable.dist", "Measurable.dite", "Measurable.div", "Measurable.div'", "Measurable.ennnorm", "Measurable.ennreal_induction", "Measurable.ennreal_ofReal", "Measurable.ennreal_toNNReal", "Measurable.ennreal_toReal", "Measurable.ennreal_tsum", "Measurable.ennreal_tsum'", "Measurable.ereal_toReal", "Measurable.eventuallyMeasurable", "Measurable.eventuallyMeasurable_of_eventuallyEq", "Measurable.exists", "Measurable.exists_continuous", "Measurable.exp", "Measurable.find", "Measurable.floor", "Measurable.forall", "Measurable.fract", "Measurable.iInf_Prop", "Measurable.iSup_Prop", "Measurable.imp", "Measurable.indicator", "Measurable.infEdist", "Measurable.infNndist", "Measurable.inf_const", "Measurable.inner", "Measurable.inner_const", "Measurable.isGLB", "Measurable.isGLB_of_mem", "Measurable.isLUB", "Measurable.isLUB_of_mem", "Measurable.ite", "Measurable.le", "Measurable.leOnePart", "Measurable.lintegral_kernel", "Measurable.lintegral_kernel_prod_left", "Measurable.lintegral_kernel_prod_right", "Measurable.lintegral_kernel_prod_right'", "Measurable.lintegral_kernel_prod_right''", "Measurable.lintegral_prod_left", "Measurable.lintegral_prod_right", "Measurable.lintegral_prod_right'", "Measurable.lmarginal", "Measurable.log", "Measurable.mabs", "Measurable.map_measurableSpace_eq", "Measurable.map_measurableSpace_eq_borel", "Measurable.map_prod_mk_left", "Measurable.map_prod_mk_right", "Measurable.max", "Measurable.measurableEmbedding", "Measurable.measurableSet_preimage_iff_inter_range", "Measurable.measurableSet_preimage_iff_of_surjective", "Measurable.measurableSet_preimage_iff_preimage_val", "Measurable.measurable_comp_iff_of_surjective", "Measurable.measurable_comp_iff_restrict", "Measurable.measurable_of_countable_ne", "Measurable.measurePreserving", "Measurable.min", "Measurable.mono", "Measurable.mul", "Measurable.mul'", "Measurable.mul_const", "Measurable.nndist", "Measurable.nnreal_tsum", "Measurable.not", "Measurable.of_uncurry_left", "Measurable.of_uncurry_right", "Measurable.oneLePart", "Measurable.or", "Measurable.pow_const", "Measurable.prod", "Measurable.prod_mk", "Measurable.quasiMeasurePreserving", "Measurable.re", "Measurable.setLIntegral_kernel", "Measurable.setLIntegral_kernel_prod_right", "Measurable.simpleFunc_add", "Measurable.sin", "Measurable.sinh", "Measurable.smul", "Measurable.smul_const", "Measurable.snd", "Measurable.sqrt", "Measurable.stronglyMeasurable", "Measurable.stronglyMeasurable_add", "Measurable.sub_stronglyMeasurable", "Measurable.subtype_map", "Measurable.subtype_mk", "Measurable.sumMap", "Measurable.sup'", "Measurable.sup_const", "MeasurableEmbedding.ae_map_iff", "MeasurableEmbedding.aemeasurable_comp_iff", "MeasurableEmbedding.borelSpace", "MeasurableEmbedding.comap_add", "MeasurableEmbedding.comap_apply", "MeasurableEmbedding.comap_eq", "MeasurableEmbedding.comap_preimage", "MeasurableEmbedding.comap_restrict", "MeasurableEmbedding.comp", "MeasurableEmbedding.essSup_map_measure", "MeasurableEmbedding.exists_stronglyMeasurable_extend", "MeasurableEmbedding.gaussianReal_comap_apply", "MeasurableEmbedding.id", "MeasurableEmbedding.iff_comap_eq", "MeasurableEmbedding.integrableAtFilter_iff_comap", "MeasurableEmbedding.integrableAtFilter_map_iff", "MeasurableEmbedding.integrableOn_iff_comap", "MeasurableEmbedding.integrableOn_map_iff", "MeasurableEmbedding.integrable_map_iff", "MeasurableEmbedding.integral_map", "MeasurableEmbedding.isProbabilityMeasure_comap", "MeasurableEmbedding.lintegral_map", "MeasurableEmbedding.map_apply", "MeasurableEmbedding.map_comap", "MeasurableEmbedding.map_withDensity_rnDeriv", "MeasurableEmbedding.measurableSet_image", "MeasurableEmbedding.measurableSet_preimage", "MeasurableEmbedding.measurableSet_range", "MeasurableEmbedding.measurable_comp_iff", "MeasurableEmbedding.measurable_extend", "MeasurableEmbedding.measurable_rangeSplitting", "MeasurableEmbedding.mem\u2112p_map_measure_iff", "MeasurableEmbedding.mutuallySingular_map", "MeasurableEmbedding.of_measurable_inverse", "MeasurableEmbedding.of_measurable_inverse_on_range", "MeasurableEmbedding.prod_mk", "MeasurableEmbedding.prod_mk_left", "MeasurableEmbedding.prod_mk_right", "MeasurableEmbedding.restrict_comap", "MeasurableEmbedding.rnDeriv_map", "MeasurableEmbedding.rnDeriv_map_aux", "MeasurableEmbedding.sigmaFinite_map", "MeasurableEmbedding.singularPart_map", "MeasurableEmbedding.snormEssSup_map_measure", "MeasurableEmbedding.snorm_map_measure", "MeasurableEmbedding.stronglyMeasurable_extend", "MeasurableEmbedding.subtype_coe", "MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_deriv_mul", "MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_deriv_mul'", "MeasurableEmbedding.withDensity_ofReal_comap_apply_eq_integral_abs_det_fderiv_mul", "MeasurableEquiv.apply_symm_apply", "MeasurableEquiv.bijective", "MeasurableEquiv.coe_mk", "MeasurableEquiv.coe_mulLeft", "MeasurableEquiv.coe_mulRight\u2080", "MeasurableEquiv.coe_piCongrLeft", "MeasurableEquiv.coe_sumPiEquivProdPi", "MeasurableEquiv.coe_sumPiEquivProdPi_symm", "MeasurableEquiv.coe_toEquiv", "MeasurableEquiv.coe_toEquiv_symm", "MeasurableEquiv.comap_symm", "MeasurableEquiv.eq_image_iff_symm_image_eq", "MeasurableEquiv.ext", "MeasurableEquiv.gaussianReal_map_symm_apply", "MeasurableEquiv.image_preimage", "MeasurableEquiv.map_ae", "MeasurableEquiv.map_apply", "MeasurableEquiv.map_apply_eq_iff_map_symm_apply_eq", "MeasurableEquiv.map_eq", "MeasurableEquiv.map_measurableEquiv_injective", "MeasurableEquiv.map_symm", "MeasurableEquiv.map_symm_map", "MeasurableEquiv.measurable", "MeasurableEquiv.measurableEmbedding", "MeasurableEquiv.measurableSet_image", "MeasurableEquiv.measurable_comp_iff", "MeasurableEquiv.mem\u2112p_map_measure_iff", "MeasurableEquiv.ofInvolutive_apply", "MeasurableEquiv.ofInvolutive_symm", "MeasurableEquiv.piCongrLeft_apply_apply", "MeasurableEquiv.preimage_image", "MeasurableEquiv.preimage_symm", "MeasurableEquiv.quasiMeasurePreserving_symm", "MeasurableEquiv.restrict_map", "MeasurableEquiv.surjective", "MeasurableEquiv.symm_bijective", "MeasurableEquiv.symm_comp_self", "MeasurableEquiv.symm_inv", "MeasurableEquiv.symm_mk", "MeasurableEquiv.symm_mulLeft", "MeasurableEquiv.symm_mulLeft\u2080", "MeasurableEquiv.symm_mulRight", "MeasurableEquiv.symm_mulRight\u2080", "MeasurableEquiv.symm_preimage_preimage", "MeasurableEquiv.symm_smul\u2080", "MeasurableEquiv.symm_symm", "MeasurableEquiv.symm_trans_self", "MeasurableEquiv.toEquiv_mulLeft", "MeasurableEquiv.toEquiv_mulLeft\u2080", "MeasurableEquiv.toEquiv_mulRight", "MeasurableEquiv.toEquiv_mulRight\u2080", "MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_deriv_mul", "MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_deriv_mul'", "MeasurableEquiv.withDensity_ofReal_map_symm_apply_eq_integral_abs_det_fderiv_mul", "MeasurableSet.analyticSet", "MeasurableSet.analyticSet_image", "MeasurableSet.biInter", "MeasurableSet.biUnion", "MeasurableSet.coe_bot", "MeasurableSet.coe_empty", "MeasurableSet.coe_insert", "MeasurableSet.coe_sdiff", "MeasurableSet.coe_union", "MeasurableSet.compl", "MeasurableSet.compl_iff", "MeasurableSet.const", "MeasurableSet.const_smul", "MeasurableSet.const_smul_of_ne_zero", "MeasurableSet.const_smul\u2080", "MeasurableSet.diff", "MeasurableSet.disjointed", "MeasurableSet.empty", "MeasurableSet.everywherePosSubset", "MeasurableSet.exists_isClosed_diff_lt", "MeasurableSet.exists_isClosed_lt_add", "MeasurableSet.exists_isCompact_diff_lt", "MeasurableSet.exists_isOpen_diff_lt", "MeasurableSet.exists_lt_isClosed_of_ne_top", "MeasurableSet.exists_lt_isCompact", "MeasurableSet.himp", "MeasurableSet.iInter", "MeasurableSet.iUnion", "MeasurableSet.image_fract", "MeasurableSet.image_inclusion", "MeasurableSet.image_inclusion'", "MeasurableSet.image_of_continuousOn_injOn", "MeasurableSet.image_of_measurable_injOn", "MeasurableSet.induction_on_open", "MeasurableSet.inf_eq_inter", "MeasurableSet.insert", "MeasurableSet.inter", "MeasurableSet.inv", "MeasurableSet.isClopenable", "MeasurableSet.isClopenable'", "MeasurableSet.ite", "MeasurableSet.ite'", "MeasurableSet.map_coe_volume", "MeasurableSet.measurableAtom_of_countable", "MeasurableSet.measurableSet_bliminf", "MeasurableSet.measurableSet_blimsup", "MeasurableSet.measurableSet_liminf", "MeasurableSet.measurableSet_limsup", "MeasurableSet.measure_eq_iSup_isCompact", "MeasurableSet.measure_eq_iSup_isCompact_of_ne_top", "MeasurableSet.mem_coe", "MeasurableSet.mul_closure_one_eq", "MeasurableSet.nullMeasurableSet", "MeasurableSet.of_compl", "MeasurableSet.of_subtype_image", "MeasurableSet.of_union_cover", "MeasurableSet.pi", "MeasurableSet.preimage", "MeasurableSet.prod", "MeasurableSet.sInter", "MeasurableSet.singleton", "MeasurableSet.standardBorel", "MeasurableSet.subtype_image", "MeasurableSet.symmDiff", "MeasurableSet.tProd", "MeasurableSet.union", "MeasurableSet.univ", "MeasurableSpace.CountablyGenerated.comap", "MeasurableSpace.CountablyGenerated.sup", "MeasurableSpace.CountablySeparated.mono", "MeasurableSpace.CountablySeparated.subtype_iff", "MeasurableSpace.DynkinSystem.ext", "MeasurableSpace.DynkinSystem.generateFrom_eq", "MeasurableSpace.DynkinSystem.generateHas_compl", "MeasurableSpace.DynkinSystem.generateHas_def", "MeasurableSpace.DynkinSystem.generate_inter", "MeasurableSpace.DynkinSystem.generate_le", "MeasurableSpace.DynkinSystem.has_compl_iff", "MeasurableSpace.DynkinSystem.has_diff", "MeasurableSpace.DynkinSystem.has_iUnion", "MeasurableSpace.DynkinSystem.has_union", "MeasurableSpace.DynkinSystem.has_univ", "MeasurableSpace.DynkinSystem.ofMeasurableSpace_le_ofMeasurableSpace_iff", "MeasurableSpace.DynkinSystem.ofMeasurableSpace_toMeasurableSpace", "MeasurableSpace.ae_induction_on_inter", "MeasurableSpace.cardinalMeasurableSet_le", "MeasurableSpace.cardinal_generateMeasurableRec_le", "MeasurableSpace.cardinal_generateMeasurable_le", "MeasurableSpace.cardinal_generateMeasurable_le_continuum", "MeasurableSpace.cardinal_measurableSet_le_continuum", "MeasurableSpace.comap_bot", "MeasurableSpace.comap_comp", "MeasurableSpace.comap_compl", "MeasurableSpace.comap_const", "MeasurableSpace.comap_eq_generateFrom", "MeasurableSpace.comap_generateFrom", "MeasurableSpace.comap_iSup", "MeasurableSpace.comap_id", "MeasurableSpace.comap_map_le", "MeasurableSpace.comap_mono", "MeasurableSpace.comap_not", "MeasurableSpace.compl_mem_generateMeasurableRec", "MeasurableSpace.countablePartitionSet_eq_iff", "MeasurableSpace.countablePartitionSet_mem", "MeasurableSpace.countablePartitionSet_of_mem", "MeasurableSpace.countable_countableGeneratingSet", "MeasurableSpace.countablySeparated_def", "MeasurableSpace.disjoint_countablePartition", "MeasurableSpace.empty_mem_countableGeneratingSet", "MeasurableSpace.empty_mem_generateMeasurableRec", "MeasurableSpace.exists_countablyGenerated_le_of_countablySeparated", "MeasurableSpace.exists_measurableSet_of_ne", "MeasurableSpace.ext", "MeasurableSpace.ext_iff", "MeasurableSpace.finite_countablePartition", "MeasurableSpace.forall_generateFrom_mem_iff_mem_iff", "MeasurableSpace.gc_comap_map", "MeasurableSpace.generateFrom_countableGeneratingSet", "MeasurableSpace.generateFrom_countablePartition_le", "MeasurableSpace.generateFrom_countablePartition_le_succ", "MeasurableSpace.generateFrom_iUnion_countablePartition", "MeasurableSpace.generateFrom_iUnion_measurableSet", "MeasurableSpace.generateFrom_iUnion_memPartition", "MeasurableSpace.generateFrom_iUnion_memPartition_le", "MeasurableSpace.generateFrom_induction", "MeasurableSpace.generateFrom_insert_empty", "MeasurableSpace.generateFrom_insert_univ", "MeasurableSpace.generateFrom_le", "MeasurableSpace.generateFrom_le_iff", "MeasurableSpace.generateFrom_measurableSet", "MeasurableSpace.generateFrom_memPartition_le", "MeasurableSpace.generateFrom_memPartition_le_range", "MeasurableSpace.generateFrom_mono", "MeasurableSpace.generateFrom_natGeneratingSequence", "MeasurableSpace.generateFrom_singleton", "MeasurableSpace.generateFrom_singleton_empty", "MeasurableSpace.generateFrom_singleton_univ", "MeasurableSpace.generateFrom_sup_generateFrom", "MeasurableSpace.generateMeasurableRec_subset", "MeasurableSpace.generateMeasurable_eq_rec", "MeasurableSpace.iSup_generateFrom", "MeasurableSpace.iUnion_mem_generateMeasurableRec", "MeasurableSpace.induction_on_inter", "MeasurableSpace.inf_le_invariants_comp", "MeasurableSpace.injective_mapNatBool", "MeasurableSpace.invariants_id", "MeasurableSpace.invariants_le", "MeasurableSpace.le_def", "MeasurableSpace.le_invariants_iterate", "MeasurableSpace.le_map_comap", "MeasurableSpace.map_comp", "MeasurableSpace.map_const", "MeasurableSpace.map_iInf", "MeasurableSpace.map_id", "MeasurableSpace.map_inf", "MeasurableSpace.map_mono", "MeasurableSpace.measurableEquiv_nat_bool_of_countablyGenerated", "MeasurableSpace.measurableSet_bot_iff", "MeasurableSpace.measurableSet_copy", "MeasurableSpace.measurableSet_countableGeneratingSet", "MeasurableSpace.measurableSet_countablePartition", "MeasurableSpace.measurableSet_countablePartitionSet", "MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSet", "MeasurableSpace.measurableSet_generateFrom", "MeasurableSpace.measurableSet_generateFrom_memPartition", "MeasurableSpace.measurableSet_generateFrom_memPartition_iff", "MeasurableSpace.measurableSet_iInf", "MeasurableSpace.measurableSet_iSup", "MeasurableSpace.measurableSet_inf", "MeasurableSpace.measurableSet_injective", "MeasurableSpace.measurableSet_natGeneratingSequence", "MeasurableSpace.measurableSet_sInf", "MeasurableSpace.measurableSet_sSup", "MeasurableSpace.measurableSet_succ_memPartition", "MeasurableSpace.measurableSet_sup", "MeasurableSpace.measurableSingletonClass_of_countablySeparated", "MeasurableSpace.measurableSpace_iSup_eq", "MeasurableSpace.measurable_injection_nat_bool_of_countablySeparated", "MeasurableSpace.measurable_invariants_dom", "MeasurableSpace.measurable_invariants_of_semiconj", "MeasurableSpace.measurable_mapNatBool", "MeasurableSpace.mem_countablePartitionSet", "MeasurableSpace.mkOfClosure_sets", "MeasurableSpace.monotone_map", "MeasurableSpace.self_subset_generateMeasurableRec", "MeasurableSpace.separatesPoints_def", "MeasurableSpace.separatesPoints_iff", "MeasurableSpace.separating_of_generateFrom", "MeasureTheory.AECover.ae_tendsto_indicator", "MeasureTheory.AECover.aemeasurable", "MeasureTheory.AECover.aestronglyMeasurable", "MeasureTheory.AECover.biInter_Ici_aecover", "MeasureTheory.AECover.biUnion_Iic_aecover", "MeasureTheory.AECover.comp_tendsto", "MeasureTheory.AECover.iSup_lintegral_eq_of_countably_generated", "MeasureTheory.AECover.integrable_of_integral_norm_bounded", "MeasureTheory.AECover.integrable_of_integral_norm_tendsto", "MeasureTheory.AECover.integrable_of_integral_tendsto_of_nonneg_ae", "MeasureTheory.AECover.integrable_of_lintegral_nnnorm_bounded", "MeasureTheory.AECover.integrable_of_lintegral_nnnorm_bounded'", "MeasureTheory.AECover.integrable_of_lintegral_nnnorm_tendsto", "MeasureTheory.AECover.integrable_of_lintegral_nnnorm_tendsto'", "MeasureTheory.AECover.integral_eq_of_tendsto", "MeasureTheory.AECover.integral_tendsto_of_countably_generated", "MeasureTheory.AECover.inter_restrict", "MeasureTheory.AECover.lintegral_eq_of_tendsto", "MeasureTheory.AECover.lintegral_tendsto_of_countably_generated", "MeasureTheory.AECover.lintegral_tendsto_of_nat", "MeasureTheory.AECover.mono", "MeasureTheory.AECover.restrict", "MeasureTheory.AECover.superset", "MeasureTheory.AEDisjoint.comm", "MeasureTheory.AEDisjoint.congr", "MeasureTheory.AEDisjoint.diff_ae_eq_right", "MeasureTheory.AEDisjoint.eq", "MeasureTheory.AEDisjoint.exists_disjoint_diff", "MeasureTheory.AEDisjoint.iUnion_left_iff", "MeasureTheory.AEDisjoint.iUnion_right_iff", "MeasureTheory.AEDisjoint.measure_diff_left", "MeasureTheory.AEDisjoint.measure_diff_right", "MeasureTheory.AEDisjoint.mono_ae", "MeasureTheory.AEDisjoint.of_absolutelyContinuous", "MeasureTheory.AEDisjoint.of_le", "MeasureTheory.AEDisjoint.of_null_left", "MeasureTheory.AEDisjoint.of_null_right", "MeasureTheory.AEDisjoint.symm", "MeasureTheory.AEDisjoint.symmetric", "MeasureTheory.AEDisjoint.union_left_iff", "MeasureTheory.AEDisjoint.union_right", "MeasureTheory.AEDisjoint.union_right_iff", "MeasureTheory.AEEqFun.Integrable.add", "MeasureTheory.AEEqFun.Integrable.neg", "MeasureTheory.AEEqFun.Integrable.smul", "MeasureTheory.AEEqFun.Integrable.sub", "MeasureTheory.AEEqFun.aemeasurable", "MeasureTheory.AEEqFun.aestronglyMeasurable", "MeasureTheory.AEEqFun.coeFn_abs", "MeasureTheory.AEEqFun.coeFn_comp", "MeasureTheory.AEEqFun.coeFn_compMeasurable", "MeasureTheory.AEEqFun.coeFn_compMeasurePreserving", "MeasureTheory.AEEqFun.coeFn_compQuasiMeasurePreserving", "MeasureTheory.AEEqFun.coeFn_comp\u2082", "MeasureTheory.AEEqFun.coeFn_comp\u2082Measurable", "MeasureTheory.AEEqFun.coeFn_const", "MeasureTheory.AEEqFun.coeFn_div", "MeasureTheory.AEEqFun.coeFn_inf", "MeasureTheory.AEEqFun.coeFn_inv", "MeasureTheory.AEEqFun.coeFn_le", "MeasureTheory.AEEqFun.coeFn_mk", "MeasureTheory.AEEqFun.coeFn_pair", "MeasureTheory.AEEqFun.coeFn_posPart", "MeasureTheory.AEEqFun.coeFn_pow", "MeasureTheory.AEEqFun.coeFn_sup", "MeasureTheory.AEEqFun.coeFn_zpow", "MeasureTheory.AEEqFun.compMeasurable_eq_mk", "MeasureTheory.AEEqFun.compMeasurable_mk", "MeasureTheory.AEEqFun.compMeasurable_toGerm", "MeasureTheory.AEEqFun.compMeasurePreserving_eq_mk", "MeasureTheory.AEEqFun.compMeasurePreserving_mk", "MeasureTheory.AEEqFun.compQuasiMeasurePreserving_eq_mk", "MeasureTheory.AEEqFun.compQuasiMeasurePreserving_mk", "MeasureTheory.AEEqFun.compQuasiMeasurePreserving_toGerm", "MeasureTheory.AEEqFun.comp_compQuasiMeasurePreserving", "MeasureTheory.AEEqFun.comp_eq_mk", "MeasureTheory.AEEqFun.comp_mk", "MeasureTheory.AEEqFun.comp_toGerm", "MeasureTheory.AEEqFun.comp\u2082Measurable_eq_mk", "MeasureTheory.AEEqFun.comp\u2082Measurable_eq_pair", "MeasureTheory.AEEqFun.comp\u2082_eq_mk", "MeasureTheory.AEEqFun.comp\u2082_eq_pair", "MeasureTheory.AEEqFun.comp\u2082_mk_mk", "MeasureTheory.AEEqFun.comp\u2082_toGerm", "MeasureTheory.AEEqFun.ext", "MeasureTheory.AEEqFun.ext_iff", "MeasureTheory.AEEqFun.induction_on", "MeasureTheory.AEEqFun.induction_on\u2082", "MeasureTheory.AEEqFun.induction_on\u2083", "MeasureTheory.AEEqFun.inf_le_left", "MeasureTheory.AEEqFun.inf_le_right", "MeasureTheory.AEEqFun.integrable_coeFn", "MeasureTheory.AEEqFun.integrable_iff_mem_L1", "MeasureTheory.AEEqFun.integrable_mk", "MeasureTheory.AEEqFun.integrable_zero", "MeasureTheory.AEEqFun.inv_toGerm", "MeasureTheory.AEEqFun.le_inf", "MeasureTheory.AEEqFun.le_sup_left", "MeasureTheory.AEEqFun.le_sup_right", "MeasureTheory.AEEqFun.liftRel_iff_coeFn", "MeasureTheory.AEEqFun.liftRel_mk_mk", "MeasureTheory.AEEqFun.lintegral_coeFn", "MeasureTheory.AEEqFun.lintegral_eq_zero_iff", "MeasureTheory.AEEqFun.lintegral_mk", "MeasureTheory.AEEqFun.lintegral_mono", "MeasureTheory.AEEqFun.lintegral_zero", "MeasureTheory.AEEqFun.mk_coeFn", "MeasureTheory.AEEqFun.mk_div", "MeasureTheory.AEEqFun.mk_eq_mk", "MeasureTheory.AEEqFun.mk_mul_mk", "MeasureTheory.AEEqFun.mk_pow", "MeasureTheory.AEEqFun.mk_toGerm", "MeasureTheory.AEEqFun.mk_zpow", "MeasureTheory.AEEqFun.mul_toGerm", "MeasureTheory.AEEqFun.one_toGerm", "MeasureTheory.AEEqFun.pair_eq_mk", "MeasureTheory.AEEqFun.pair_mk_mk", "MeasureTheory.AEEqFun.posPart_mk", "MeasureTheory.AEEqFun.pow_toGerm", "MeasureTheory.AEEqFun.quot_mk_eq_mk", "MeasureTheory.AEEqFun.smul_mk", "MeasureTheory.AEEqFun.snorm_compMeasurePreserving", "MeasureTheory.AEEqFun.sup_le", "MeasureTheory.AEEqFun.toGerm_eq", "MeasureTheory.AEEqFun.toGerm_injective", "MeasureTheory.AEFinStronglyMeasurable.add", "MeasureTheory.AEFinStronglyMeasurable.ae_eq_mk", "MeasureTheory.AEFinStronglyMeasurable.ae_eq_of_forall_setIntegral_eq", "MeasureTheory.AEFinStronglyMeasurable.ae_eq_zero_compl", "MeasureTheory.AEFinStronglyMeasurable.ae_eq_zero_of_forall_setIntegral_eq_zero", "MeasureTheory.AEFinStronglyMeasurable.ae_nonneg_of_forall_setIntegral_nonneg", "MeasureTheory.AEFinStronglyMeasurable.const_smul", "MeasureTheory.AEFinStronglyMeasurable.exists_set_sigmaFinite", "MeasureTheory.AEFinStronglyMeasurable.finStronglyMeasurable_mk", "MeasureTheory.AEFinStronglyMeasurable.inf", "MeasureTheory.AEFinStronglyMeasurable.measurableSet", "MeasureTheory.AEFinStronglyMeasurable.neg", "MeasureTheory.AEFinStronglyMeasurable.sub", "MeasureTheory.AEMeasurable.ae_eq_of_forall_setLIntegral_eq", "MeasureTheory.AEStronglyMeasurable'.aeStronglyMeasurable'_of_measurableSpace_le_on", "MeasureTheory.AEStronglyMeasurable'.ae_eq_mk", "MeasureTheory.AEStronglyMeasurable'.congr", "MeasureTheory.AEStronglyMeasurable'.const_inner", "MeasureTheory.AEStronglyMeasurable'.const_smul", "MeasureTheory.AEStronglyMeasurable'.continuous_comp", "MeasureTheory.AEStronglyMeasurable'.neg", "MeasureTheory.AEStronglyMeasurable'.sub", "MeasureTheory.AEStronglyMeasurable.add_measure", "MeasureTheory.AEStronglyMeasurable.ae_eq_mk", "MeasureTheory.AEStronglyMeasurable.ae_integrable_condDistrib_map_iff", "MeasureTheory.AEStronglyMeasurable.ae_mem_imp_eq_mk", "MeasureTheory.AEStronglyMeasurable.aemeasurable", "MeasureTheory.AEStronglyMeasurable.compProd_mk_left", "MeasureTheory.AEStronglyMeasurable.comp_ae_measurable'", "MeasureTheory.AEStronglyMeasurable.comp_aemeasurable", "MeasureTheory.AEStronglyMeasurable.comp_measurable", "MeasureTheory.AEStronglyMeasurable.comp_measurePreserving", "MeasureTheory.AEStronglyMeasurable.comp_snd_map_prod_id", "MeasureTheory.AEStronglyMeasurable.comp_snd_map_prod_mk", "MeasureTheory.AEStronglyMeasurable.const_mul", "MeasureTheory.AEStronglyMeasurable.const_smul'", "MeasureTheory.AEStronglyMeasurable.convolution_integrand", "MeasureTheory.AEStronglyMeasurable.convolution_integrand'", "MeasureTheory.AEStronglyMeasurable.convolution_integrand_snd'", "MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_snd", "MeasureTheory.AEStronglyMeasurable.dist", "MeasureTheory.AEStronglyMeasurable.div", "MeasureTheory.AEStronglyMeasurable.ennnorm", "MeasureTheory.AEStronglyMeasurable.fourierPowSMulRight", "MeasureTheory.AEStronglyMeasurable.fourierSMulRight", "MeasureTheory.AEStronglyMeasurable.fst", "MeasureTheory.AEStronglyMeasurable.iUnion", "MeasureTheory.AEStronglyMeasurable.identDistrib_mk", "MeasureTheory.AEStronglyMeasurable.im", "MeasureTheory.AEStronglyMeasurable.indicator", "MeasureTheory.AEStronglyMeasurable.inner", "MeasureTheory.AEStronglyMeasurable.integrable_truncation", "MeasureTheory.AEStronglyMeasurable.integral_condDistrib", "MeasureTheory.AEStronglyMeasurable.integral_condDistrib_map", "MeasureTheory.AEStronglyMeasurable.integral_condKernel", "MeasureTheory.AEStronglyMeasurable.integral_condexpKernel", "MeasureTheory.AEStronglyMeasurable.integral_kernel_compProd", "MeasureTheory.AEStronglyMeasurable.integral_kernel_condKernel", "MeasureTheory.AEStronglyMeasurable.integral_prod_right'", "MeasureTheory.AEStronglyMeasurable.inv", "MeasureTheory.AEStronglyMeasurable.isSeparable_ae_range", "MeasureTheory.AEStronglyMeasurable.measurable_mk", "MeasureTheory.AEStronglyMeasurable.mem\u2112p_truncation", "MeasureTheory.AEStronglyMeasurable.mono_ac", "MeasureTheory.AEStronglyMeasurable.mul", "MeasureTheory.AEStronglyMeasurable.mul_const", "MeasureTheory.AEStronglyMeasurable.mul_iff_left", "MeasureTheory.AEStronglyMeasurable.nnnorm", "MeasureTheory.AEStronglyMeasurable.norm", "MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_lt", "MeasureTheory.AEStronglyMeasurable.nullMeasurableSet_mulSupport", "MeasureTheory.AEStronglyMeasurable.piecewise", "MeasureTheory.AEStronglyMeasurable.pow", "MeasureTheory.AEStronglyMeasurable.prod_mk", "MeasureTheory.AEStronglyMeasurable.prod_swap", "MeasureTheory.AEStronglyMeasurable.re", "MeasureTheory.AEStronglyMeasurable.restrict", "MeasureTheory.AEStronglyMeasurable.smul", "MeasureTheory.AEStronglyMeasurable.smul_const", "MeasureTheory.AEStronglyMeasurable.smul_measure", "MeasureTheory.AEStronglyMeasurable.snd", "MeasureTheory.AEStronglyMeasurable.stronglyMeasurableAtFilter", "MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mk", "MeasureTheory.AEStronglyMeasurable.sum_measure", "MeasureTheory.AEStronglyMeasurable.sup", "MeasureTheory.AEStronglyMeasurable.truncation", "MeasureTheory.Adapted.div", "MeasureTheory.Adapted.integrable_upcrossingsBefore", "MeasureTheory.Adapted.inv", "MeasureTheory.Adapted.isStoppingTime_crossing", "MeasureTheory.Adapted.isStoppingTime_leastGE", "MeasureTheory.Adapted.isStoppingTime_upperCrossingTime", "MeasureTheory.Adapted.measurable_upcrossings", "MeasureTheory.Adapted.measurable_upcrossingsBefore", "MeasureTheory.Adapted.progMeasurable_of_discrete", "MeasureTheory.Adapted.smul", "MeasureTheory.Adapted.stronglyMeasurable", "MeasureTheory.Adapted.stronglyMeasurable_stoppedProcess", "MeasureTheory.Adapted.stronglyMeasurable_stoppedProcess_of_discrete", "MeasureTheory.Adapted.upcrossingStrat_adapted", "MeasureTheory.AddContent.ext_iff", "MeasureTheory.AnalyticSet.iInter", "MeasureTheory.AnalyticSet.iUnion", "MeasureTheory.AnalyticSet.image_of_continuous", "MeasureTheory.AnalyticSet.image_of_continuousOn", "MeasureTheory.AnalyticSet.measurableSet_of_compl", "MeasureTheory.AnalyticSet.measurablySeparable", "MeasureTheory.AnalyticSet.preimage", "MeasureTheory.BorelCantelli.adapted_process", "MeasureTheory.BorelCantelli.martingalePart_process_ae_eq", "MeasureTheory.BorelCantelli.predictablePart_process_ae_eq", "MeasureTheory.BorelCantelli.process_difference_le", "MeasureTheory.BorelCantelli.process_zero", "MeasureTheory.BoundedContinuousFunction.inner_toLp", "MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le", "MeasureTheory.BoundedContinuousFunction.integral_eq_integral_meas_le_of_hasFiniteIntegral", "MeasureTheory.BoundedContinuousFunction.integral_le_of_levyProkhorovEDist_lt", "MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iff", "MeasureTheory.ComplexMeasure.integrable_rnDeriv", "MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eq", "MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasure", "MeasureTheory.Conservative.ae_forall_image_mem_imp_frequently_image_mem", "MeasureTheory.Conservative.ae_frequently_mem_of_mem_nhds", "MeasureTheory.Conservative.ae_mem_imp_frequently_image_mem", "MeasureTheory.Conservative.exists_gt_measure_inter_ne_zero", "MeasureTheory.Conservative.frequently_ae_mem_and_frequently_image_mem", "MeasureTheory.Conservative.frequently_measure_inter_ne_zero", "MeasureTheory.Conservative.id", "MeasureTheory.Conservative.inter_frequently_image_mem_ae_eq", "MeasureTheory.Conservative.iterate", "MeasureTheory.Conservative.measure_inter_frequently_image_mem_eq", "MeasureTheory.Conservative.measure_mem_forall_ge_image_not_mem_eq_zero", "MeasureTheory.Content.borel_le_caratheodory", "MeasureTheory.Content.contentRegular_exists_compact", "MeasureTheory.Content.empty", "MeasureTheory.Content.innerContent_bot", "MeasureTheory.Content.innerContent_comap", "MeasureTheory.Content.innerContent_exists_compact", "MeasureTheory.Content.innerContent_iSup_nat", "MeasureTheory.Content.innerContent_iUnion_nat", "MeasureTheory.Content.innerContent_le", "MeasureTheory.Content.innerContent_mono'", "MeasureTheory.Content.innerContent_of_isCompact", "MeasureTheory.Content.innerContent_pos_of_is_mul_left_invariant", "MeasureTheory.Content.is_mul_left_invariant_innerContent", "MeasureTheory.Content.le_outerMeasure_compacts", "MeasureTheory.Content.lt_top", "MeasureTheory.Content.measure_apply", "MeasureTheory.Content.measure_eq_content_of_regular", "MeasureTheory.Content.mono", "MeasureTheory.Content.outerMeasure_caratheodory", "MeasureTheory.Content.outerMeasure_eq_iInf", "MeasureTheory.Content.outerMeasure_exists_compact", "MeasureTheory.Content.outerMeasure_exists_open", "MeasureTheory.Content.outerMeasure_interior_compacts", "MeasureTheory.Content.outerMeasure_le", "MeasureTheory.Content.outerMeasure_lt_top_of_isCompact", "MeasureTheory.Content.outerMeasure_pos_of_is_mul_left_invariant", "MeasureTheory.Content.outerMeasure_preimage", "MeasureTheory.Content.sup_disjoint", "MeasureTheory.ContinuousMap.inner_toLp", "MeasureTheory.ContinuousOn.hasBoxIntegral", "MeasureTheory.ConvolutionExists.add_distrib", "MeasureTheory.ConvolutionExists.distrib_add", "MeasureTheory.ConvolutionExistsAt.add_distrib", "MeasureTheory.ConvolutionExistsAt.distrib_add", "MeasureTheory.ConvolutionExistsAt.integrable_swap", "MeasureTheory.ConvolutionExistsAt.ofNorm'", "MeasureTheory.DominatedFinMeasAdditive.add", "MeasureTheory.DominatedFinMeasAdditive.add_measure_left", "MeasureTheory.DominatedFinMeasAdditive.eq_zero", "MeasureTheory.DominatedFinMeasAdditive.eq_zero_of_measure_zero", "MeasureTheory.DominatedFinMeasAdditive.of_measure_le", "MeasureTheory.DominatedFinMeasAdditive.of_measure_le_smul", "MeasureTheory.DominatedFinMeasAdditive.of_smul_measure", "MeasureTheory.DominatedFinMeasAdditive.smul", "MeasureTheory.DominatedFinMeasAdditive.zero", "MeasureTheory.Egorov.exists_notConvergentSeq_lt", "MeasureTheory.Egorov.iUnionNotConvergentSeq_measurableSet", "MeasureTheory.Egorov.iUnionNotConvergentSeq_subset", "MeasureTheory.Egorov.measure_iUnionNotConvergentSeq", "MeasureTheory.Egorov.measure_inter_notConvergentSeq_eq_zero", "MeasureTheory.Egorov.measure_notConvergentSeq_tendsto_zero", "MeasureTheory.Egorov.mem_notConvergentSeq_iff", "MeasureTheory.Egorov.notConvergentSeqLTIndex_spec", "MeasureTheory.Egorov.notConvergentSeq_measurableSet", "MeasureTheory.Egorov.tendstoUniformlyOn_diff_iUnionNotConvergentSeq", "MeasureTheory.ExistsSeqTendstoAe.exists_nat_measure_lt_two_inv", "MeasureTheory.ExistsSeqTendstoAe.seqTendstoAeSeq_spec", "MeasureTheory.ExistsSeqTendstoAe.seqTendstoAeSeq_strictMono", "MeasureTheory.ExistsSeqTendstoAe.seqTendstoAeSeq_succ", "MeasureTheory.Filtration.adapted_natural", "MeasureTheory.Filtration.coeFn_sup", "MeasureTheory.Filtration.const_apply", "MeasureTheory.Filtration.ext", "MeasureTheory.Filtration.filtrationOfSet_eq_natural", "MeasureTheory.Filtration.mem\u2112p_limitProcess_of_snorm_bdd", "MeasureTheory.Filtration.mono", "MeasureTheory.Filtration.sInf_def", "MeasureTheory.Filtration.sSup_def", "MeasureTheory.Filtration.stronglyMeasurable_limitProcess", "MeasureTheory.FinMeasAdditive.add", "MeasureTheory.FinMeasAdditive.map_empty_eq_zero", "MeasureTheory.FinMeasAdditive.map_iUnion_fin_meas_set_eq_sum", "MeasureTheory.FinMeasAdditive.of_eq_top_imp_eq_top", "MeasureTheory.FinMeasAdditive.of_smul_measure", "MeasureTheory.FinMeasAdditive.smul", "MeasureTheory.FinMeasAdditive.smul_measure", "MeasureTheory.FinMeasAdditive.zero", "MeasureTheory.FinStronglyMeasurable.aefinStronglyMeasurable", "MeasureTheory.FinStronglyMeasurable.const_smul", "MeasureTheory.FinStronglyMeasurable.exists_set_sigmaFinite", "MeasureTheory.FinStronglyMeasurable.fin_support_approx", "MeasureTheory.FinStronglyMeasurable.inf", "MeasureTheory.FinStronglyMeasurable.measurable", "MeasureTheory.FinStronglyMeasurable.mul", "MeasureTheory.FinStronglyMeasurable.neg", "MeasureTheory.FinStronglyMeasurable.stronglyMeasurable", "MeasureTheory.FinStronglyMeasurable.sub", "MeasureTheory.FinStronglyMeasurable.sup", "MeasureTheory.FinStronglyMeasurable.tendsto_approx", "MeasureTheory.FiniteMeasure.apply_le_mass", "MeasureTheory.FiniteMeasure.apply_mono", "MeasureTheory.FiniteMeasure.average_eq_integral_normalize", "MeasureTheory.FiniteMeasure.coeFn_add", "MeasureTheory.FiniteMeasure.coeFn_def", "MeasureTheory.FiniteMeasure.coeFn_smul", "MeasureTheory.FiniteMeasure.coeFn_zero", "MeasureTheory.FiniteMeasure.coe_toWeakDualBCNN", "MeasureTheory.FiniteMeasure.continuous_map", "MeasureTheory.FiniteMeasure.continuous_mass", "MeasureTheory.FiniteMeasure.continuous_testAgainstNN_eval", "MeasureTheory.FiniteMeasure.embedding_toWeakDualBCNN", "MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasure", "MeasureTheory.FiniteMeasure.ennreal_mass", "MeasureTheory.FiniteMeasure.eq_of_forall_apply_eq", "MeasureTheory.FiniteMeasure.eq_of_forall_toMeasure_apply_eq", "MeasureTheory.FiniteMeasure.ext_of_forall_lintegral_eq", "MeasureTheory.FiniteMeasure.injective_toWeakDualBCNN", "MeasureTheory.FiniteMeasure.limsup_measure_closed_le_of_tendsto", "MeasureTheory.FiniteMeasure.map_add", "MeasureTheory.FiniteMeasure.map_apply'", "MeasureTheory.FiniteMeasure.map_apply_of_aemeasurable", "MeasureTheory.FiniteMeasure.map_fst_prod", "MeasureTheory.FiniteMeasure.map_prod_map", "MeasureTheory.FiniteMeasure.mass_nonzero_iff", "MeasureTheory.FiniteMeasure.mass_prod", "MeasureTheory.FiniteMeasure.mass_zero_iff", "MeasureTheory.FiniteMeasure.normalize_eq_inv_mass_smul_of_nonzero", "MeasureTheory.FiniteMeasure.normalize_eq_of_nonzero", "MeasureTheory.FiniteMeasure.normalize_testAgainstNN", "MeasureTheory.FiniteMeasure.prod_apply", "MeasureTheory.FiniteMeasure.prod_prod", "MeasureTheory.FiniteMeasure.prod_zero", "MeasureTheory.FiniteMeasure.restrict_apply", "MeasureTheory.FiniteMeasure.restrict_eq_zero_iff", "MeasureTheory.FiniteMeasure.restrict_mass", "MeasureTheory.FiniteMeasure.restrict_measure_eq", "MeasureTheory.FiniteMeasure.restrict_nonzero_iff", "MeasureTheory.FiniteMeasure.self_eq_mass_mul_normalize", "MeasureTheory.FiniteMeasure.self_eq_mass_smul_normalize", "MeasureTheory.FiniteMeasure.smul_apply", "MeasureTheory.FiniteMeasure.smul_testAgainstNN_apply", "MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_tendsto", "MeasureTheory.FiniteMeasure.tendsto_iff_forall_lintegral_tendsto", "MeasureTheory.FiniteMeasure.tendsto_iff_forall_testAgainstNN_tendsto", "MeasureTheory.FiniteMeasure.tendsto_iff_forall_toWeakDualBCNN_tendsto", "MeasureTheory.FiniteMeasure.tendsto_iff_weak_star_tendsto", "MeasureTheory.FiniteMeasure.tendsto_map_of_tendsto_of_continuous", "MeasureTheory.FiniteMeasure.tendsto_normalize_iff_tendsto", "MeasureTheory.FiniteMeasure.tendsto_normalize_of_tendsto", "MeasureTheory.FiniteMeasure.tendsto_normalize_testAgainstNN_of_tendsto", "MeasureTheory.FiniteMeasure.tendsto_of_forall_integral_tendsto", "MeasureTheory.FiniteMeasure.tendsto_of_tendsto_normalize_testAgainstNN_of_tendsto_mass", "MeasureTheory.FiniteMeasure.tendsto_testAgainstNN_filter_of_le_const", "MeasureTheory.FiniteMeasure.tendsto_testAgainstNN_of_tendsto_normalize_testAgainstNN_of_tendsto_mass", "MeasureTheory.FiniteMeasure.tendsto_zero_of_tendsto_zero_mass", "MeasureTheory.FiniteMeasure.tendsto_zero_testAgainstNN_of_tendsto_zero_mass", "MeasureTheory.FiniteMeasure.testAgainstNN_add", "MeasureTheory.FiniteMeasure.testAgainstNN_const", "MeasureTheory.FiniteMeasure.testAgainstNN_eq_mass_mul", "MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz", "MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz_estimate", "MeasureTheory.FiniteMeasure.testAgainstNN_mono", "MeasureTheory.FiniteMeasure.testAgainstNN_one", "MeasureTheory.FiniteMeasure.testAgainstNN_smul", "MeasureTheory.FiniteMeasure.testAgainstNN_zero", "MeasureTheory.FiniteMeasure.toMeasure_add", "MeasureTheory.FiniteMeasure.toMeasure_map", "MeasureTheory.FiniteMeasure.toMeasure_normalize_eq_of_nonzero", "MeasureTheory.FiniteMeasure.toMeasure_prod", "MeasureTheory.FiniteMeasure.toMeasure_smul", "MeasureTheory.FiniteMeasure.toMeasure_zero", "MeasureTheory.FiniteMeasure.toWeakDualBCNN_apply", "MeasureTheory.FiniteMeasure.zero_mass", "MeasureTheory.FiniteMeasure.zero_prod", "MeasureTheory.FiniteMeasure.zero_testAgainstNN_apply", "MeasureTheory.GridLines.T_empty", "MeasureTheory.GridLines.T_insert_le_T_lmarginal_singleton", "MeasureTheory.GridLines.T_lmarginal_antitone", "MeasureTheory.GridLines.T_univ", "MeasureTheory.HasFiniteIntegral.add_measure", "MeasureTheory.HasFiniteIntegral.const_mul", "MeasureTheory.HasFiniteIntegral.left_of_add_measure", "MeasureTheory.HasFiniteIntegral.max_zero", "MeasureTheory.HasFiniteIntegral.min_zero", "MeasureTheory.HasFiniteIntegral.mono", "MeasureTheory.HasFiniteIntegral.mono'", "MeasureTheory.HasFiniteIntegral.neg", "MeasureTheory.HasFiniteIntegral.norm", "MeasureTheory.HasFiniteIntegral.of_finite", "MeasureTheory.HasFiniteIntegral.restrict", "MeasureTheory.HasFiniteIntegral.right_of_add_measure", "MeasureTheory.HasFiniteIntegral.smul", "MeasureTheory.HasFiniteIntegral.smul_measure", "MeasureTheory.HasFiniteIntegral.tendsto_setIntegral_nhds_zero", "MeasureTheory.HasPDF.congr", "MeasureTheory.HasPDF.congr'", "MeasureTheory.HasPDF.quasiMeasurePreserving_of_measurable", "MeasureTheory.Ico_ae_eq_Icc", "MeasureTheory.Ico_ae_eq_Ioc", "MeasureTheory.Ico_ae_eq_Ioc'", "MeasureTheory.Iio_ae_eq_Iic", "MeasureTheory.Iio_ae_eq_Iic'", "MeasureTheory.Integrable.abs", "MeasureTheory.Integrable.add", "MeasureTheory.Integrable.add'", "MeasureTheory.Integrable.add_measure", "MeasureTheory.Integrable.ae_eq_of_forall_setIntegral_eq", "MeasureTheory.Integrable.ae_eq_of_withDensity\u1d65_eq", "MeasureTheory.Integrable.ae_eq_zero_of_forall_setIntegral_eq_zero", "MeasureTheory.Integrable.aefinStronglyMeasurable", "MeasureTheory.Integrable.aemeasurable", "MeasureTheory.Integrable.aestronglyMeasurable", "MeasureTheory.Integrable.apply_continuousLinearMap", "MeasureTheory.Integrable.bdd_mul", "MeasureTheory.Integrable.bdd_mul'", "MeasureTheory.Integrable.coeFn_toL1", "MeasureTheory.Integrable.compProd_mk_left_ae", "MeasureTheory.Integrable.comp_aemeasurable", "MeasureTheory.Integrable.comp_div", "MeasureTheory.Integrable.comp_inv", "MeasureTheory.Integrable.comp_measurable", "MeasureTheory.Integrable.comp_mul_left", "MeasureTheory.Integrable.comp_mul_right", "MeasureTheory.Integrable.comp_mul_right'", "MeasureTheory.Integrable.comp_smul", "MeasureTheory.Integrable.comp_snd_map_prod_id", "MeasureTheory.Integrable.comp_snd_map_prod_mk", "MeasureTheory.Integrable.condDistrib_ae", "MeasureTheory.Integrable.condDistrib_ae_map", "MeasureTheory.Integrable.condexpKernel_ae", "MeasureTheory.Integrable.congr", "MeasureTheory.Integrable.const_inner", "MeasureTheory.Integrable.const_mul", "MeasureTheory.Integrable.const_mul'", "MeasureTheory.Integrable.continuous_primitive", "MeasureTheory.Integrable.convolution_integrand", "MeasureTheory.Integrable.div_const", "MeasureTheory.Integrable.edist_toL1_toL1", "MeasureTheory.Integrable.edist_toL1_zero", "MeasureTheory.Integrable.essSup_smul", "MeasureTheory.Integrable.exists_boundedContinuous_integral_sub_le", "MeasureTheory.Integrable.exists_boundedContinuous_lintegral_sub_le", "MeasureTheory.Integrable.exists_hasCompactSupport_integral_sub_le", "MeasureTheory.Integrable.exists_hasCompactSupport_lintegral_sub_le", "MeasureTheory.Integrable.fin_nat_prod", "MeasureTheory.Integrable.fintype_prod_dep", "MeasureTheory.Integrable.fourier_inversion", "MeasureTheory.Integrable.fst", "MeasureTheory.Integrable.hasSum_intervalIntegral", "MeasureTheory.Integrable.hasSum_intervalIntegral_comp_add_int", "MeasureTheory.Integrable.im", "MeasureTheory.Integrable.indicator", "MeasureTheory.Integrable.induction", "MeasureTheory.Integrable.inner_const", "MeasureTheory.Integrable.integrableOn", "MeasureTheory.Integrable.integral_condDistrib", "MeasureTheory.Integrable.integral_condDistrib_map", "MeasureTheory.Integrable.integral_condexpKernel", "MeasureTheory.Integrable.integral_eq_integral_Ioc_meas_le", "MeasureTheory.Integrable.integral_eq_integral_meas_le", "MeasureTheory.Integrable.integral_eq_integral_meas_lt", "MeasureTheory.Integrable.integral_norm_compProd", "MeasureTheory.Integrable.integral_norm_condDistrib_map", "MeasureTheory.Integrable.integral_norm_condexpKernel", "MeasureTheory.Integrable.integral_norm_prod_right", "MeasureTheory.Integrable.integral_prod_left", "MeasureTheory.Integrable.integral_prod_right", "MeasureTheory.Integrable.intervalIntegrable", "MeasureTheory.Integrable.left_of_add_measure", "MeasureTheory.Integrable.locallyIntegrable", "MeasureTheory.Integrable.measure_ge_lt_top", "MeasureTheory.Integrable.measure_gt_lt_top", "MeasureTheory.Integrable.measure_le_integral", "MeasureTheory.Integrable.measure_le_lt_top", "MeasureTheory.Integrable.measure_lt_lt_top", "MeasureTheory.Integrable.measure_norm_ge_lt_top", "MeasureTheory.Integrable.measure_norm_gt_lt_top", "MeasureTheory.Integrable.mono'", "MeasureTheory.Integrable.mono_measure", "MeasureTheory.Integrable.mul_const", "MeasureTheory.Integrable.neg", "MeasureTheory.Integrable.nnnorm_toL1", "MeasureTheory.Integrable.norm", "MeasureTheory.Integrable.norm_integral_condDistrib_map", "MeasureTheory.Integrable.norm_integral_condKernel", "MeasureTheory.Integrable.norm_integral_condexpKernel", "MeasureTheory.Integrable.norm_toL1", "MeasureTheory.Integrable.norm_toL1_eq_lintegral_norm", "MeasureTheory.Integrable.of_finite", "MeasureTheory.Integrable.of_measure_le_smul", "MeasureTheory.Integrable.piecewise", "MeasureTheory.Integrable.pos_part", "MeasureTheory.Integrable.prod_mk", "MeasureTheory.Integrable.prod_mul", "MeasureTheory.Integrable.prod_right_ae", "MeasureTheory.Integrable.prod_smul", "MeasureTheory.Integrable.re_im_iff", "MeasureTheory.Integrable.real_toNNReal", "MeasureTheory.Integrable.simpleFunc_mul", "MeasureTheory.Integrable.simpleFunc_mul'", "MeasureTheory.Integrable.smul", "MeasureTheory.Integrable.smul_const", "MeasureTheory.Integrable.smul_essSup", "MeasureTheory.Integrable.smul_measure_nnreal", "MeasureTheory.Integrable.smul_of_top_right", "MeasureTheory.Integrable.sub", "MeasureTheory.Integrable.tendsto_ae_condexp", "MeasureTheory.Integrable.tendsto_snorm_condexp", "MeasureTheory.Integrable.toL1_add", "MeasureTheory.Integrable.toL1_coeFn", "MeasureTheory.Integrable.toL1_eq_toL1_iff", "MeasureTheory.Integrable.toL1_smul", "MeasureTheory.Integrable.toL1_sub", "MeasureTheory.Integrable.toL1_zero", "MeasureTheory.Integrable.to_average", "MeasureTheory.Integrable.trim", "MeasureTheory.Integrable.uniformIntegrable_condexp", "MeasureTheory.Integrable.withDensity\u1d65_trim_absolutelyContinuous", "MeasureTheory.Integrable.withDensity\u1d65_trim_eq_integral", "MeasureTheory.IntegrableAtFilter.add", "MeasureTheory.IntegrableAtFilter.eq_zero_of_tendsto", "MeasureTheory.IntegrableAtFilter.filter_mono", "MeasureTheory.IntegrableAtFilter.inf_ae_iff", "MeasureTheory.IntegrableAtFilter.inf_of_left", "MeasureTheory.IntegrableAtFilter.neg", "MeasureTheory.IntegrableAtFilter.sub", "MeasureTheory.IntegrableAtFilter.sup_iff", "MeasureTheory.IntegrableOn.congr_fun", "MeasureTheory.IntegrableOn.congr_fun_ae", "MeasureTheory.IntegrableOn.continuousOn_mul", "MeasureTheory.IntegrableOn.continuousOn_mul_of_subset", "MeasureTheory.IntegrableOn.continuousOn_smul", "MeasureTheory.IntegrableOn.hasBoxIntegral", "MeasureTheory.IntegrableOn.indicator", "MeasureTheory.IntegrableOn.integrable", "MeasureTheory.IntegrableOn.integrable_indicator", "MeasureTheory.IntegrableOn.integrable_of_ae_not_mem_eq_zero", "MeasureTheory.IntegrableOn.integrable_of_forall_not_mem_eq_zero", "MeasureTheory.IntegrableOn.inter_of_restrict", "MeasureTheory.IntegrableOn.left_of_union", "MeasureTheory.IntegrableOn.mono", "MeasureTheory.IntegrableOn.mono_measure", "MeasureTheory.IntegrableOn.mono_set", "MeasureTheory.IntegrableOn.mono_set_ae", "MeasureTheory.IntegrableOn.mul_continuousOn_of_subset", "MeasureTheory.IntegrableOn.of_ae_diff_eq_zero", "MeasureTheory.IntegrableOn.of_forall_diff_eq_zero", "MeasureTheory.IntegrableOn.restrict", "MeasureTheory.IntegrableOn.restrict_toMeasurable", "MeasureTheory.IntegrableOn.right_of_union", "MeasureTheory.IntegrableOn.setLIntegral_lt_top", "MeasureTheory.IntegrableOn.smul_continuousOn", "MeasureTheory.IntegrableOn.union", "MeasureTheory.Ioc_ae_eq_Icc", "MeasureTheory.Ioi_ae_eq_Ici", "MeasureTheory.Ioo_ae_eq_Icc'", "MeasureTheory.Ioo_ae_eq_Ico", "MeasureTheory.IsFundamentalDomain.aEStronglyMeasurable_on_iff", "MeasureTheory.IsFundamentalDomain.absolutelyContinuous_map", "MeasureTheory.IsFundamentalDomain.covolume_eq_volume", "MeasureTheory.IsFundamentalDomain.essSup_measure_restrict", "MeasureTheory.IsFundamentalDomain.exists_ne_one_smul_eq", "MeasureTheory.IsFundamentalDomain.fundamentalInterior", "MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff", "MeasureTheory.IsFundamentalDomain.hasFundamentalDomain", "MeasureTheory.IsFundamentalDomain.iUnion_smul_ae_eq", "MeasureTheory.IsFundamentalDomain.image_of_equiv", "MeasureTheory.IsFundamentalDomain.integral_eq_tsum''", "MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum", "MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum'", "MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum_of_ac", "MeasureTheory.IsFundamentalDomain.measurePreserving_quotient_mk", "MeasureTheory.IsFundamentalDomain.measure_eq", "MeasureTheory.IsFundamentalDomain.measure_eq_card_smul_of_smul_ae_eq_self", "MeasureTheory.IsFundamentalDomain.measure_eq_tsum", "MeasureTheory.IsFundamentalDomain.measure_eq_tsum_of_ac", "MeasureTheory.IsFundamentalDomain.measure_fundamentalFrontier", "MeasureTheory.IsFundamentalDomain.measure_fundamentalInterior", "MeasureTheory.IsFundamentalDomain.measure_le_of_pairwise_disjoint", "MeasureTheory.IsFundamentalDomain.measure_ne_zero", "MeasureTheory.IsFundamentalDomain.measure_set_eq", "MeasureTheory.IsFundamentalDomain.measure_zero_of_invariant", "MeasureTheory.IsFundamentalDomain.mk'", "MeasureTheory.IsFundamentalDomain.mk_of_measure_univ_le", "MeasureTheory.IsFundamentalDomain.nullMeasurableSet_smul", "MeasureTheory.IsFundamentalDomain.pairwise_aedisjoint_of_ac", "MeasureTheory.IsFundamentalDomain.preimage_of_equiv", "MeasureTheory.IsFundamentalDomain.projection_respects_measure", "MeasureTheory.IsFundamentalDomain.quotientMeasureEqMeasurePreimage", "MeasureTheory.IsFundamentalDomain.quotientMeasureEqMeasurePreimage_of_zero", "MeasureTheory.IsFundamentalDomain.quotientMeasureEqMeasurePreimage_quotientMeasure", "MeasureTheory.IsFundamentalDomain.quotientMeasure_eq", "MeasureTheory.IsFundamentalDomain.restrict_restrict", "MeasureTheory.IsFundamentalDomain.setIntegral_eq", "MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum", "MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum'", "MeasureTheory.IsFundamentalDomain.setLIntegral_eq", "MeasureTheory.IsFundamentalDomain.setLIntegral_eq_tsum", "MeasureTheory.IsFundamentalDomain.setLIntegral_eq_tsum'", "MeasureTheory.IsFundamentalDomain.smul", "MeasureTheory.IsFundamentalDomain.sum_restrict_of_ac", "MeasureTheory.IsLocallyFiniteMeasure.withDensity_coe", "MeasureTheory.IsLocallyFiniteMeasure.withDensity_ofReal", "MeasureTheory.IsProbabilityMeasure.ae_neBot", "MeasureTheory.IsProbabilityMeasure.ne_zero", "MeasureTheory.IsProjectiveLimit.isProbabilityMeasure", "MeasureTheory.IsProjectiveLimit.measure_cylinder", "MeasureTheory.IsProjectiveLimit.measure_univ_eq", "MeasureTheory.IsProjectiveLimit.measure_univ_unique", "MeasureTheory.IsProjectiveLimit.unique", "MeasureTheory.IsProjectiveMeasureFamily.congr_cylinder", "MeasureTheory.IsProjectiveMeasureFamily.congr_cylinder_of_subset", "MeasureTheory.IsProjectiveMeasureFamily.measure_univ_eq", "MeasureTheory.IsProjectiveMeasureFamily.measure_univ_eq_of_subset", "MeasureTheory.IsSetAlgebra.biInter_mem", "MeasureTheory.IsSetAlgebra.biUnion_mem", "MeasureTheory.IsSetAlgebra.diff_mem", "MeasureTheory.IsSetAlgebra.generateSetAlgebra_eq", "MeasureTheory.IsSetAlgebra.generateSetAlgebra_subset", "MeasureTheory.IsSetAlgebra.isSetRing", "MeasureTheory.IsSetRing.biInter_mem", "MeasureTheory.IsSetRing.biUnion_mem", "MeasureTheory.IsSetRing.inter_mem", "MeasureTheory.IsSetRing.isSetSemiring", "MeasureTheory.IsSetSemiring.diffFinset_subset", "MeasureTheory.IsSetSemiring.diffFinset\u2080_subset", "MeasureTheory.IsSetSemiring.diff_sUnion_eq_sUnion_diffFinset\u2080", "MeasureTheory.IsSetSemiring.disjoint_diffFinset\u2080", "MeasureTheory.IsSetSemiring.disjoint_sUnion_diffFinset", "MeasureTheory.IsSetSemiring.empty_not_mem_diffFinset", "MeasureTheory.IsSetSemiring.empty_not_mem_diffFinset\u2080", "MeasureTheory.IsSetSemiring.exists_disjoint_finset_diff_eq", "MeasureTheory.IsSetSemiring.isPiSystem", "MeasureTheory.IsSetSemiring.not_mem_diffFinset", "MeasureTheory.IsSetSemiring.pairwiseDisjoint_diffFinset", "MeasureTheory.IsSetSemiring.pairwiseDisjoint_diffFinset\u2080", "MeasureTheory.IsSetSemiring.pairwiseDisjoint_insert_diffFinset", "MeasureTheory.IsSetSemiring.pairwiseDisjoint_union_diffFinset\u2080", "MeasureTheory.IsSetSemiring.sUnion_diffFinset", "MeasureTheory.IsSetSemiring.sUnion_diffFinset\u2080_subset", "MeasureTheory.IsSetSemiring.sUnion_insert_diffFinset", "MeasureTheory.IsSetSemiring.sUnion_union_diffFinset\u2080_of_subset", "MeasureTheory.IsSetSemiring.sUnion_union_sUnion_diffFinset\u2080_of_subset", "MeasureTheory.IsStoppingTime.add", "MeasureTheory.IsStoppingTime.add_const", "MeasureTheory.IsStoppingTime.add_const_nat", "MeasureTheory.IsStoppingTime.le_measurableSpace_of_const_le", "MeasureTheory.IsStoppingTime.max", "MeasureTheory.IsStoppingTime.measurable", "MeasureTheory.IsStoppingTime.measurableSet", "MeasureTheory.IsStoppingTime.measurableSet_eq", "MeasureTheory.IsStoppingTime.measurableSet_eq'", "MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable'", "MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable_range", "MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable_range'", "MeasureTheory.IsStoppingTime.measurableSet_eq_stopping_time", "MeasureTheory.IsStoppingTime.measurableSet_eq_stopping_time_of_countable", "MeasureTheory.IsStoppingTime.measurableSet_ge", "MeasureTheory.IsStoppingTime.measurableSet_ge'", "MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable", "MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable'", "MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable_range", "MeasureTheory.IsStoppingTime.measurableSet_ge_of_countable_range'", "MeasureTheory.IsStoppingTime.measurableSet_gt", "MeasureTheory.IsStoppingTime.measurableSet_gt'", "MeasureTheory.IsStoppingTime.measurableSet_inter_eq_iff", "MeasureTheory.IsStoppingTime.measurableSet_inter_le", "MeasureTheory.IsStoppingTime.measurableSet_inter_le_const_iff", "MeasureTheory.IsStoppingTime.measurableSet_inter_le_iff", "MeasureTheory.IsStoppingTime.measurableSet_le", "MeasureTheory.IsStoppingTime.measurableSet_le'", "MeasureTheory.IsStoppingTime.measurableSet_le_stopping_time", "MeasureTheory.IsStoppingTime.measurableSet_lt", "MeasureTheory.IsStoppingTime.measurableSet_lt'", "MeasureTheory.IsStoppingTime.measurableSet_lt_le", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable'", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable_range", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_countable_range'", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_isLUB", "MeasureTheory.IsStoppingTime.measurableSet_lt_of_pred", "MeasureTheory.IsStoppingTime.measurableSet_min_const_iff", "MeasureTheory.IsStoppingTime.measurableSet_min_iff", "MeasureTheory.IsStoppingTime.measurableSet_stopping_time_le", "MeasureTheory.IsStoppingTime.measurableSpace_const", "MeasureTheory.IsStoppingTime.measurableSpace_le", "MeasureTheory.IsStoppingTime.measurableSpace_le'", "MeasureTheory.IsStoppingTime.measurableSpace_le_of_countable", "MeasureTheory.IsStoppingTime.measurableSpace_le_of_countable_range", "MeasureTheory.IsStoppingTime.measurableSpace_le_of_le_const", "MeasureTheory.IsStoppingTime.measurableSpace_min", "MeasureTheory.IsStoppingTime.measurableSpace_mono", "MeasureTheory.IsStoppingTime.min", "MeasureTheory.IsStoppingTime.piecewise_of_le", "MeasureTheory.JordanDecomposition.coe_smul", "MeasureTheory.JordanDecomposition.eq_of_posPart_eq_posPart", "MeasureTheory.JordanDecomposition.exists_compl_positive_negative", "MeasureTheory.JordanDecomposition.neg_negPart", "MeasureTheory.JordanDecomposition.neg_posPart", "MeasureTheory.JordanDecomposition.real_smul_def", "MeasureTheory.JordanDecomposition.real_smul_neg", "MeasureTheory.JordanDecomposition.real_smul_negPart_neg", "MeasureTheory.JordanDecomposition.real_smul_negPart_nonneg", "MeasureTheory.JordanDecomposition.real_smul_posPart_neg", "MeasureTheory.JordanDecomposition.real_smul_posPart_nonneg", "MeasureTheory.JordanDecomposition.smul_negPart", "MeasureTheory.JordanDecomposition.smul_posPart", "MeasureTheory.JordanDecomposition.toJordanDecomposition_toSignedMeasure", "MeasureTheory.JordanDecomposition.toSignedMeasure_injective", "MeasureTheory.JordanDecomposition.toSignedMeasure_neg", "MeasureTheory.JordanDecomposition.toSignedMeasure_smul", "MeasureTheory.JordanDecomposition.toSignedMeasure_zero", "MeasureTheory.JordanDecomposition.zero_negPart", "MeasureTheory.JordanDecomposition.zero_posPart", "MeasureTheory.L1.SimpleFunc.coe_posPart", "MeasureTheory.L1.SimpleFunc.integrable", "MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral", "MeasureTheory.L1.SimpleFunc.integral_add", "MeasureTheory.L1.SimpleFunc.integral_eq_lintegral", "MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub", "MeasureTheory.L1.SimpleFunc.integral_eq_setToL1S", "MeasureTheory.L1.SimpleFunc.integral_smul", "MeasureTheory.L1.SimpleFunc.negPart_toSimpleFunc", "MeasureTheory.L1.SimpleFunc.norm_Integral_le_one", "MeasureTheory.L1.SimpleFunc.norm_eq_integral", "MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul", "MeasureTheory.L1.SimpleFunc.norm_integral_le_norm", "MeasureTheory.L1.SimpleFunc.norm_setToL1SCLM_le", "MeasureTheory.L1.SimpleFunc.norm_setToL1S_le", "MeasureTheory.L1.SimpleFunc.posPart_toSimpleFunc", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left'", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_congr_left'", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_const", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_nonneg", "MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left", "MeasureTheory.L1.SimpleFunc.setToL1S_add", "MeasureTheory.L1.SimpleFunc.setToL1S_congr", "MeasureTheory.L1.SimpleFunc.setToL1S_congr_left", "MeasureTheory.L1.SimpleFunc.setToL1S_congr_measure", "MeasureTheory.L1.SimpleFunc.setToL1S_indicatorConst", "MeasureTheory.L1.SimpleFunc.setToL1S_mono", "MeasureTheory.L1.SimpleFunc.setToL1S_mono_left", "MeasureTheory.L1.SimpleFunc.setToL1S_mono_left'", "MeasureTheory.L1.SimpleFunc.setToL1S_neg", "MeasureTheory.L1.SimpleFunc.setToL1S_nonneg", "MeasureTheory.L1.SimpleFunc.setToL1S_smul", "MeasureTheory.L1.SimpleFunc.setToL1S_smul_left'", "MeasureTheory.L1.SimpleFunc.setToL1S_smul_real", "MeasureTheory.L1.SimpleFunc.setToL1S_sub", "MeasureTheory.L1.SimpleFunc.setToL1S_zero_left'", "MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1", "MeasureTheory.L1.continuous_integral", "MeasureTheory.L1.dist_def", "MeasureTheory.L1.dist_eq_integral_dist", "MeasureTheory.L1.edist_def", "MeasureTheory.L1.hasFiniteIntegral_coeFn", "MeasureTheory.L1.integrable_coeFn", "MeasureTheory.L1.integral_add", "MeasureTheory.L1.integral_eq", "MeasureTheory.L1.integral_eq_integral", "MeasureTheory.L1.integral_eq_norm_posPart_sub", "MeasureTheory.L1.integral_eq_setToL1", "MeasureTheory.L1.integral_neg", "MeasureTheory.L1.integral_of_fun_eq_integral", "MeasureTheory.L1.integral_smul", "MeasureTheory.L1.integral_sub", "MeasureTheory.L1.integral_zero", "MeasureTheory.L1.nnnorm_Integral_le_one", "MeasureTheory.L1.norm_def", "MeasureTheory.L1.norm_eq_integral_norm", "MeasureTheory.L1.norm_integral_le", "MeasureTheory.L1.norm_of_fun_eq_integral_norm", "MeasureTheory.L1.norm_setToL1_le", "MeasureTheory.L1.norm_setToL1_le'", "MeasureTheory.L1.norm_setToL1_le_norm_setToL1SCLM", "MeasureTheory.L1.norm_sub_eq_lintegral", "MeasureTheory.L1.ofReal_norm_eq_lintegral", "MeasureTheory.L1.ofReal_norm_sub_eq_lintegral", "MeasureTheory.L1.setToFun_eq_setToL1", "MeasureTheory.L1.setToL1_add_left", "MeasureTheory.L1.setToL1_add_left'", "MeasureTheory.L1.setToL1_congr_left", "MeasureTheory.L1.setToL1_congr_left'", "MeasureTheory.L1.setToL1_const", "MeasureTheory.L1.setToL1_eq_setToL1'", "MeasureTheory.L1.setToL1_eq_setToL1SCLM", "MeasureTheory.L1.setToL1_indicatorConstLp", "MeasureTheory.L1.setToL1_lipschitz", "MeasureTheory.L1.setToL1_mono", "MeasureTheory.L1.setToL1_mono_left", "MeasureTheory.L1.setToL1_mono_left'", "MeasureTheory.L1.setToL1_nonneg", "MeasureTheory.L1.setToL1_simpleFunc_indicatorConst", "MeasureTheory.L1.setToL1_smul", "MeasureTheory.L1.setToL1_smul_left", "MeasureTheory.L1.setToL1_smul_left'", "MeasureTheory.L1.setToL1_zero_left", "MeasureTheory.L1.setToL1_zero_left'", "MeasureTheory.L1.stronglyMeasurable_coeFn", "MeasureTheory.L2.add_left'", "MeasureTheory.L2.inner_def", "MeasureTheory.L2.inner_indicatorConstLp_eq_inner_setIntegral", "MeasureTheory.L2.inner_indicatorConstLp_eq_setIntegral_inner", "MeasureTheory.L2.inner_indicatorConstLp_one", "MeasureTheory.L2.integrable_inner", "MeasureTheory.L2.integral_inner_eq_sq_snorm", "MeasureTheory.L2.mem_L1_inner", "MeasureTheory.L2.norm_sq_eq_inner'", "MeasureTheory.L2.smul_left'", "MeasureTheory.L2.snorm_inner_lt_top", "MeasureTheory.L2.snorm_rpow_two_norm_lt_top", "MeasureTheory.LevyProkhorov.continuous_toProbabilityMeasure", "MeasureTheory.LipschitzWith.integrable_comp_iff_of_antilipschitz", "MeasureTheory.LocallyIntegrable.aestronglyMeasurable", "MeasureTheory.LocallyIntegrable.exists_nat_integrableOn", "MeasureTheory.LocallyIntegrable.indicator", "MeasureTheory.LocallyIntegrable.integrableOn_nhds_isCompact", "MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atBot", "MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atBot_atTop", "MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atTop", "MeasureTheory.LocallyIntegrable.integrable_of_isBigO_atTop_of_norm_isNegInvariant", "MeasureTheory.LocallyIntegrable.integrable_of_isBigO_cocompact", "MeasureTheory.LocallyIntegrable.integrable_smul_left_of_hasCompactSupport", "MeasureTheory.LocallyIntegrable.integrable_smul_right_of_hasCompactSupport", "MeasureTheory.LocallyIntegrable.locallyIntegrableOn", "MeasureTheory.LocallyIntegrable.mono", "MeasureTheory.LocallyIntegrable.neg", "MeasureTheory.LocallyIntegrable.smul", "MeasureTheory.LocallyIntegrable.sub", "MeasureTheory.LocallyIntegrableOn.add", "MeasureTheory.LocallyIntegrableOn.aestronglyMeasurable", "MeasureTheory.LocallyIntegrableOn.continuousOn_mul", "MeasureTheory.LocallyIntegrableOn.continuousOn_smul", "MeasureTheory.LocallyIntegrableOn.exists_countable_integrableOn", "MeasureTheory.LocallyIntegrableOn.exists_nat_integrableOn", "MeasureTheory.LocallyIntegrableOn.integrableOn_compact_subset", "MeasureTheory.LocallyIntegrableOn.integrableOn_of_isBigO_atBot", "MeasureTheory.LocallyIntegrableOn.integrableOn_of_isBigO_atTop", "MeasureTheory.LocallyIntegrableOn.mul_continuousOn", "MeasureTheory.LocallyIntegrableOn.norm", "MeasureTheory.LocallyIntegrableOn.smul_continuousOn", "MeasureTheory.LocallyIntegrableOn.sub", "MeasureTheory.Lp.ae_eq_of_forall_setIntegral_eq", "MeasureTheory.Lp.ae_eq_of_forall_setIntegral_eq'", "MeasureTheory.Lp.ae_eq_zero_of_forall_setIntegral_eq_zero'", "MeasureTheory.Lp.ae_tendsto_of_cauchy_snorm", "MeasureTheory.Lp.ae_tendsto_of_cauchy_snorm'", "MeasureTheory.Lp.aestronglyMeasurable", "MeasureTheory.Lp.boundedContinuousFunction_dense", "MeasureTheory.Lp.boundedContinuousFunction_topologicalClosure", "MeasureTheory.Lp.cauchySeq_Lp_iff_cauchySeq_\u2112p", "MeasureTheory.Lp.cauchy_complete_\u2112p", "MeasureTheory.Lp.cauchy_tendsto_of_tendsto", "MeasureTheory.Lp.coeFn_add", "MeasureTheory.Lp.coeFn_compMeasurePreserving", "MeasureTheory.Lp.coeFn_const", "MeasureTheory.Lp.coeFn_le", "MeasureTheory.Lp.coeFn_mk", "MeasureTheory.Lp.coeFn_neg", "MeasureTheory.Lp.coeFn_negPart", "MeasureTheory.Lp.coeFn_negPart_eq_max", "MeasureTheory.Lp.coeFn_nonneg", "MeasureTheory.Lp.coeFn_posPart", "MeasureTheory.Lp.coeFn_smul", "MeasureTheory.Lp.coeFn_sub", "MeasureTheory.Lp.coeFn_zero", "MeasureTheory.Lp.coe_LpSubmodule", "MeasureTheory.Lp.coe_mk", "MeasureTheory.Lp.coe_nnnorm", "MeasureTheory.Lp.coe_nnnorm_toLp", "MeasureTheory.Lp.coe_posPart", "MeasureTheory.Lp.completeSpace_lp_of_cauchy_complete_\u2112p", "MeasureTheory.Lp.const_mem_Lp", "MeasureTheory.Lp.const_smul_mem_Lp", "MeasureTheory.Lp.const_val", "MeasureTheory.Lp.continuous_negPart", "MeasureTheory.Lp.continuous_posPart", "MeasureTheory.Lp.dist_def", "MeasureTheory.Lp.dist_edist", "MeasureTheory.Lp.dist_eq_norm", "MeasureTheory.Lp.edist_def", "MeasureTheory.Lp.edist_dist", "MeasureTheory.Lp.edist_toLp_toLp", "MeasureTheory.Lp.edist_toLp_zero", "MeasureTheory.Lp.eq_zero_iff_ae_eq_zero", "MeasureTheory.Lp.ext", "MeasureTheory.Lp.ext_iff", "MeasureTheory.Lp.finStronglyMeasurable", "MeasureTheory.Lp.induction", "MeasureTheory.Lp.induction_stronglyMeasurable", "MeasureTheory.Lp.induction_stronglyMeasurable_aux", "MeasureTheory.Lp.lintegral_rpow_sum_coe_nnnorm_sub_le_rpow_tsum", "MeasureTheory.Lp.lintegral_rpow_tsum_coe_nnnorm_sub_le_tsum", "MeasureTheory.Lp.lipschitzWith_pos_part", "MeasureTheory.Lp.meas_ge_le_mul_pow_norm", "MeasureTheory.Lp.mem_Lp_iff_mem\u2112p", "MeasureTheory.Lp.mem_Lp_of_ae_bound", "MeasureTheory.Lp.mem_Lp_of_ae_le", "MeasureTheory.Lp.mem_Lp_of_ae_le_mul", "MeasureTheory.Lp.mem_Lp_of_nnnorm_ae_le", "MeasureTheory.Lp.mem_Lp_of_nnnorm_ae_le_mul", "MeasureTheory.Lp.mem\u2112p", "MeasureTheory.Lp.mem\u2112p_of_cauchy_tendsto", "MeasureTheory.Lp.mul_meas_ge_le_pow_norm", "MeasureTheory.Lp.mul_meas_ge_le_pow_norm'", "MeasureTheory.Lp.nnnorm_def", "MeasureTheory.Lp.nnnorm_eq_zero_iff", "MeasureTheory.Lp.nnnorm_le_mul_nnnorm_of_ae_le_mul", "MeasureTheory.Lp.nnnorm_le_of_ae_bound", "MeasureTheory.Lp.nnnorm_neg", "MeasureTheory.Lp.nnnorm_toLp", "MeasureTheory.Lp.nnnorm_zero", "MeasureTheory.Lp.norm_compMeasurePreserving", "MeasureTheory.Lp.norm_const", "MeasureTheory.Lp.norm_const'", "MeasureTheory.Lp.norm_const_le", "MeasureTheory.Lp.norm_def", "MeasureTheory.Lp.norm_exponent_zero", "MeasureTheory.Lp.norm_le_mul_norm_of_ae_le_mul", "MeasureTheory.Lp.norm_le_norm_of_ae_le", "MeasureTheory.Lp.norm_le_of_ae_bound", "MeasureTheory.Lp.norm_measure_zero", "MeasureTheory.Lp.norm_neg", "MeasureTheory.Lp.norm_toLp", "MeasureTheory.Lp.norm_zero", "MeasureTheory.Lp.pow_mul_meas_ge_le_norm", "MeasureTheory.Lp.simpleFunc.add_toSimpleFunc", "MeasureTheory.Lp.simpleFunc.aemeasurable", "MeasureTheory.Lp.simpleFunc.aestronglyMeasurable", "MeasureTheory.Lp.simpleFunc.coeFn_le", "MeasureTheory.Lp.simpleFunc.coeFn_nonneg", "MeasureTheory.Lp.simpleFunc.coeFn_zero", "MeasureTheory.Lp.simpleFunc.coe_indicatorConst", "MeasureTheory.Lp.simpleFunc.coe_smul", "MeasureTheory.Lp.simpleFunc.denseEmbedding", "MeasureTheory.Lp.simpleFunc.denseInducing", "MeasureTheory.Lp.simpleFunc.denseRange", "MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg", "MeasureTheory.Lp.simpleFunc.exists_simpleFunc_nonneg_ae_eq", "MeasureTheory.Lp.simpleFunc.induction", "MeasureTheory.Lp.simpleFunc.mem\u2112p", "MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc", "MeasureTheory.Lp.simpleFunc.norm_toSimpleFunc", "MeasureTheory.Lp.simpleFunc.smul_toSimpleFunc", "MeasureTheory.Lp.simpleFunc.sub_toSimpleFunc", "MeasureTheory.Lp.simpleFunc.toLp_add", "MeasureTheory.Lp.simpleFunc.toLp_eq_toLp", "MeasureTheory.Lp.simpleFunc.toLp_neg", "MeasureTheory.Lp.simpleFunc.toLp_sub", "MeasureTheory.Lp.simpleFunc.toLp_zero", "MeasureTheory.Lp.simpleFunc.toSimpleFunc_eq_toFun", "MeasureTheory.Lp.simpleFunc.toSimpleFunc_indicatorConst", "MeasureTheory.Lp.simpleFunc.toSimpleFunc_toLp", "MeasureTheory.Lp.simpleFunc.uniformContinuous", "MeasureTheory.Lp.simpleFunc.uniformEmbedding", "MeasureTheory.Lp.simpleFunc.zero_toSimpleFunc", "MeasureTheory.Lp.snorm'_lim_eq_lintegral_liminf", "MeasureTheory.Lp.snorm'_lim_le_liminf_snorm'", "MeasureTheory.Lp.snorm'_sum_norm_sub_le_tsum_of_cauchy_snorm'", "MeasureTheory.Lp.snorm_exponent_top_lim_eq_essSup_liminf", "MeasureTheory.Lp.snorm_exponent_top_lim_le_liminf_snorm_exponent_top", "MeasureTheory.Lp.snorm_lim_le_liminf_snorm", "MeasureTheory.Lp.snorm_lt_top", "MeasureTheory.Lp.snorm_ne_top", "MeasureTheory.Lp.stronglyMeasurable", "MeasureTheory.Lp.tendsto_Lp_iff_tendsto_\u2112p", "MeasureTheory.Lp.tendsto_Lp_iff_tendsto_\u2112p'", "MeasureTheory.Lp.tendsto_Lp_iff_tendsto_\u2112p''", "MeasureTheory.Lp.toLp_coeFn", "MeasureTheory.Lp.tsum_nnnorm_sub_ae_lt_top", "MeasureTheory.LpAddConst_lt_top", "MeasureTheory.LpAddConst_of_one_le", "MeasureTheory.LpAddConst_zero", "MeasureTheory.Lp_toLp_restrict_add", "MeasureTheory.Lp_toLp_restrict_smul", "MeasureTheory.Martingale.add", "MeasureTheory.Martingale.bddAbove_range_iff_bddBelow_range", "MeasureTheory.Martingale.condexp_ae_eq", "MeasureTheory.Martingale.condexp_stoppedValue_stopping_time_ae_eq_restrict_le", "MeasureTheory.Martingale.condexp_stopping_time_ae_eq_restrict_eq_const", "MeasureTheory.Martingale.condexp_stopping_time_ae_eq_restrict_eq_const_of_le_const", "MeasureTheory.Martingale.eq_condexp_of_tendsto_snorm", "MeasureTheory.Martingale.eq_zero_of_predictable", "MeasureTheory.Martingale.neg", "MeasureTheory.Martingale.setIntegral_eq", "MeasureTheory.Martingale.smul", "MeasureTheory.Martingale.stoppedValue_ae_eq_condexp_of_le_const", "MeasureTheory.Martingale.stoppedValue_ae_eq_condexp_of_le_const_of_countable_range", "MeasureTheory.Martingale.stoppedValue_ae_eq_condexp_of_le_of_countable_range", "MeasureTheory.Martingale.stoppedValue_ae_eq_restrict_eq", "MeasureTheory.Martingale.stoppedValue_min_ae_eq_condexp", "MeasureTheory.Martingale.sub", "MeasureTheory.Martingale.submartingale", "MeasureTheory.Martingale.supermartingale", "MeasureTheory.Measurable.comp_nullMeasurable", "MeasureTheory.MeasurablySeparable.iUnion", "MeasureTheory.Measure.AbsolutelyContinuous.add", "MeasureTheory.Measure.AbsolutelyContinuous.add_left", "MeasureTheory.Measure.AbsolutelyContinuous.add_left_iff", "MeasureTheory.Measure.AbsolutelyContinuous.add_right", "MeasureTheory.Measure.AbsolutelyContinuous.isOpenPosMeasure", "MeasureTheory.Measure.AbsolutelyContinuous.map", "MeasureTheory.Measure.AbsolutelyContinuous.mk", "MeasureTheory.Measure.AbsolutelyContinuous.prod", "MeasureTheory.Measure.AbsolutelyContinuous.refl", "MeasureTheory.Measure.AbsolutelyContinuous.restrict", "MeasureTheory.Measure.AbsolutelyContinuous.rfl", "MeasureTheory.Measure.AbsolutelyContinuous.smul", "MeasureTheory.Measure.AbsolutelyContinuous.trans", "MeasureTheory.Measure.AbsolutelyContinuous.trim", "MeasureTheory.Measure.AbsolutelyContinuous.zero", "MeasureTheory.Measure.FiniteAtFilter.eventually", "MeasureTheory.Measure.FiniteAtFilter.exists_mem_basis", "MeasureTheory.Measure.FiniteAtFilter.filterSup", "MeasureTheory.Measure.FiniteAtFilter.filter_mono", "MeasureTheory.Measure.FiniteAtFilter.inf_ae_iff", "MeasureTheory.Measure.FiniteAtFilter.inf_of_left", "MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter", "MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto", "MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto_ae", "MeasureTheory.Measure.FiniteAtFilter.measure_mono", "MeasureTheory.Measure.FiniteAtFilter.mono", "MeasureTheory.Measure.FiniteSpanningSetsIn.ext", "MeasureTheory.Measure.FiniteSpanningSetsIn.isCountablySpanning", "MeasureTheory.Measure.FiniteSpanningSetsIn.outerRegular", "MeasureTheory.Measure.FiniteSpanningSetsIn.sigmaFinite", "MeasureTheory.Measure.IicSnd_ac_fst", "MeasureTheory.Measure.IicSnd_apply", "MeasureTheory.Measure.IicSnd_le_fst", "MeasureTheory.Measure.IicSnd_mono", "MeasureTheory.Measure.InnerRegular.exists_compact_not_null", "MeasureTheory.Measure.InnerRegular.innerRegularWRT_isClosed_isOpen", "MeasureTheory.Measure.InnerRegular.map", "MeasureTheory.Measure.InnerRegular.map_iff", "MeasureTheory.Measure.InnerRegular.map_of_continuous", "MeasureTheory.Measure.InnerRegularCompactLTTop.map_of_continuous", "MeasureTheory.Measure.InnerRegularWRT.exists_subset_lt_add", "MeasureTheory.Measure.InnerRegularWRT.isCompact_isClosed", "MeasureTheory.Measure.InnerRegularWRT.map", "MeasureTheory.Measure.InnerRegularWRT.map'", "MeasureTheory.Measure.InnerRegularWRT.measurableSet_of_isOpen", "MeasureTheory.Measure.InnerRegularWRT.measure_eq_iSup", "MeasureTheory.Measure.InnerRegularWRT.mono", "MeasureTheory.Measure.InnerRegularWRT.of_imp", "MeasureTheory.Measure.InnerRegularWRT.of_pseudoMetrizableSpace", "MeasureTheory.Measure.InnerRegularWRT.of_restrict", "MeasureTheory.Measure.InnerRegularWRT.of_sigmaFinite", "MeasureTheory.Measure.InnerRegularWRT.restrict", "MeasureTheory.Measure.InnerRegularWRT.restrict_of_measure_ne_top", "MeasureTheory.Measure.InnerRegularWRT.rfl", "MeasureTheory.Measure.InnerRegularWRT.smul", "MeasureTheory.Measure.InnerRegularWRT.trans", "MeasureTheory.Measure.InnerRegularWRT.weaklyRegular_of_finite", "MeasureTheory.Measure.IsComplete.out", "MeasureTheory.Measure.IsEverywherePos.IsGdelta_of_isMulLeftInvariant", "MeasureTheory.Measure.IsEverywherePos.of_forall_exists_nhds_eq", "MeasureTheory.Measure.IsEverywherePos.smul_measure", "MeasureTheory.Measure.IsFiniteMeasure.IicSnd", "MeasureTheory.Measure.IsHaarMeasure.smul", "MeasureTheory.Measure.IsMulLeftInvariant.quotientMeasureEqMeasurePreimage_of_set", "MeasureTheory.Measure.LebesgueDecomposition.iSup_le_le", "MeasureTheory.Measure.LebesgueDecomposition.iSup_mem_measurableLE", "MeasureTheory.Measure.LebesgueDecomposition.iSup_mem_measurableLE'", "MeasureTheory.Measure.LebesgueDecomposition.iSup_monotone'", "MeasureTheory.Measure.LebesgueDecomposition.iSup_succ_eq_sup", "MeasureTheory.Measure.LebesgueDecomposition.sup_mem_measurableLE", "MeasureTheory.Measure.MeasurableSet.nullMeasurableSet_subtype_coe", "MeasureTheory.Measure.MeasurePreserving.zpow", "MeasureTheory.Measure.MutuallySingular.add_left", "MeasureTheory.Measure.MutuallySingular.add_left_iff", "MeasureTheory.Measure.MutuallySingular.comm", "MeasureTheory.Measure.MutuallySingular.measure_compl_nullSet", "MeasureTheory.Measure.MutuallySingular.measure_nullSet", "MeasureTheory.Measure.MutuallySingular.mk", "MeasureTheory.Measure.MutuallySingular.mono", "MeasureTheory.Measure.MutuallySingular.mono_ac", "MeasureTheory.Measure.MutuallySingular.restrict", "MeasureTheory.Measure.MutuallySingular.rnDeriv_ae_eq_zero", "MeasureTheory.Measure.MutuallySingular.self_iff", "MeasureTheory.Measure.MutuallySingular.smul", "MeasureTheory.Measure.MutuallySingular.sum_left", "MeasureTheory.Measure.MutuallySingular.sum_right", "MeasureTheory.Measure.MutuallySingular.symm", "MeasureTheory.Measure.MutuallySingular.withDensity", "MeasureTheory.Measure.MutuallySingular.zero_left", "MeasureTheory.Measure.NullMeasurableSet.const_smul", "MeasureTheory.Measure.NullMeasurableSet.image", "MeasureTheory.Measure.OuterRegular.map", "MeasureTheory.Measure.OuterRegular.measure_closure_eq_of_isCompact", "MeasureTheory.Measure.OuterRegular.of_restrict", "MeasureTheory.Measure.OuterRegular.smul", "MeasureTheory.Measure.QuasiMeasurePreserving.ae", "MeasureTheory.Measure.QuasiMeasurePreserving.ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.ae_map_le", "MeasureTheory.Measure.QuasiMeasurePreserving.aemeasurable", "MeasureTheory.Measure.QuasiMeasurePreserving.comp", "MeasureTheory.Measure.QuasiMeasurePreserving.exists_preimage_eq_of_preimage_ae", "MeasureTheory.Measure.QuasiMeasurePreserving.id", "MeasureTheory.Measure.QuasiMeasurePreserving.image_zpow_ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.iterate", "MeasureTheory.Measure.QuasiMeasurePreserving.liminf_preimage_iterate_ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.limsup_preimage_iterate_ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.mono", "MeasureTheory.Measure.QuasiMeasurePreserving.mono_left", "MeasureTheory.Measure.QuasiMeasurePreserving.mono_right", "MeasureTheory.Measure.QuasiMeasurePreserving.preimage_iterate_ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.preimage_mono_ae", "MeasureTheory.Measure.QuasiMeasurePreserving.smul_ae_eq_of_ae_eq", "MeasureTheory.Measure.QuasiMeasurePreserving.tendsto_ae", "MeasureTheory.Measure.Regular.exists_compact_not_null", "MeasureTheory.Measure.Regular.map", "MeasureTheory.Measure.Regular.map_iff", "MeasureTheory.Measure.Regular.restrict_of_measure_ne_top", "MeasureTheory.Measure.Regular.smul", "MeasureTheory.Measure.Subtype.volume_univ", "MeasureTheory.Measure.WeaklyRegular.restrict_of_measure_ne_top", "MeasureTheory.Measure.WeaklyRegular.smul", "MeasureTheory.Measure.absolutelyContinuous_isHaarMeasure", "MeasureTheory.Measure.absolutelyContinuous_of_eq", "MeasureTheory.Measure.absolutelyContinuous_of_le", "MeasureTheory.Measure.absolutelyContinuous_sum_left", "MeasureTheory.Measure.absolutelyContinuous_sum_right", "MeasureTheory.Measure.absolutelyContinuous_withDensity_rnDeriv", "MeasureTheory.Measure.absolutelyContinuous_zero_iff", "MeasureTheory.Measure.addHaar_affineSubspace", "MeasureTheory.Measure.addHaar_ball", "MeasureTheory.Measure.addHaar_ball_center", "MeasureTheory.Measure.addHaar_ball_mul", "MeasureTheory.Measure.addHaar_ball_mul_of_pos", "MeasureTheory.Measure.addHaar_ball_of_pos", "MeasureTheory.Measure.addHaar_closedBall", "MeasureTheory.Measure.addHaar_closedBall'", "MeasureTheory.Measure.addHaar_closedBall_center", "MeasureTheory.Measure.addHaar_closedBall_eq_addHaar_ball", "MeasureTheory.Measure.addHaar_closedBall_mul", "MeasureTheory.Measure.addHaar_closedBall_mul_of_pos", "MeasureTheory.Measure.addHaar_closed_unit_ball_eq_addHaar_unit_ball", "MeasureTheory.Measure.addHaar_eq_zero_of_disjoint_translates", "MeasureTheory.Measure.addHaar_eq_zero_of_disjoint_translates_aux", "MeasureTheory.Measure.addHaar_image_continuousLinearEquiv", "MeasureTheory.Measure.addHaar_image_continuousLinearMap", "MeasureTheory.Measure.addHaar_image_homothety", "MeasureTheory.Measure.addHaar_image_linearMap", "MeasureTheory.Measure.addHaar_parallelepiped", "MeasureTheory.Measure.addHaar_preimage_continuousLinearEquiv", "MeasureTheory.Measure.addHaar_preimage_linearEquiv", "MeasureTheory.Measure.addHaar_preimage_linearMap", "MeasureTheory.Measure.addHaar_preimage_smul", "MeasureTheory.Measure.addHaar_singleton_add_smul_div_singleton_add_smul", "MeasureTheory.Measure.addHaar_smul", "MeasureTheory.Measure.addHaar_smul_of_nonneg", "MeasureTheory.Measure.addHaar_sphere", "MeasureTheory.Measure.addHaar_sphere_of_ne_zero", "MeasureTheory.Measure.addHaar_submodule", "MeasureTheory.Measure.add_apply", "MeasureTheory.Measure.add_left_inj", "MeasureTheory.Measure.add_mconv", "MeasureTheory.Measure.add_prod", "MeasureTheory.Measure.add_right_inj", "MeasureTheory.Measure.add_toOuterMeasure", "MeasureTheory.Measure.ae_ae_eq_curry_of_prod", "MeasureTheory.Measure.ae_ae_eq_of_ae_eq_uncurry", "MeasureTheory.Measure.ae_ae_of_ae_compProd", "MeasureTheory.Measure.ae_ae_of_ae_prod", "MeasureTheory.Measure.ae_compProd_iff", "MeasureTheory.Measure.ae_compProd_of_ae_ae", "MeasureTheory.Measure.ae_completion", "MeasureTheory.Measure.ae_eq_image_of_ae_eq_comap", "MeasureTheory.Measure.ae_eq_pi", "MeasureTheory.Measure.ae_eq_set_pi", "MeasureTheory.Measure.ae_eval_ne", "MeasureTheory.Measure.ae_le_iff_absolutelyContinuous", "MeasureTheory.Measure.ae_le_pi", "MeasureTheory.Measure.ae_le_set_pi", "MeasureTheory.Measure.ae_measure_lt_top", "MeasureTheory.Measure.ae_pi_le_pi", "MeasureTheory.Measure.ae_prod_mem_iff_ae_ae_mem", "MeasureTheory.Measure.ae_smul_measure_iff", "MeasureTheory.Measure.ae_sum_eq", "MeasureTheory.Measure.ae_sum_iff'", "MeasureTheory.Measure.apply_eq_zero_of_isEmpty", "MeasureTheory.Measure.bind_apply", "MeasureTheory.Measure.bind_bind", "MeasureTheory.Measure.bind_dirac", "MeasureTheory.Measure.bind_zero_left", "MeasureTheory.Measure.bind_zero_right", "MeasureTheory.Measure.coe_add", "MeasureTheory.Measure.coe_completion", "MeasureTheory.Measure.coe_finset_sum", "MeasureTheory.Measure.coe_nnreal_smul_apply", "MeasureTheory.Measure.coe_smul", "MeasureTheory.Measure.coe_toOuterMeasure", "MeasureTheory.Measure.coe_zero", "MeasureTheory.Measure.comap_apply", "MeasureTheory.Measure.comap_apply\u2080", "MeasureTheory.Measure.comap_preimage", "MeasureTheory.Measure.comap\u2097_apply", "MeasureTheory.Measure.compProd_add_left", "MeasureTheory.Measure.compProd_add_right", "MeasureTheory.Measure.compProd_apply", "MeasureTheory.Measure.compProd_apply_prod", "MeasureTheory.Measure.compProd_congr", "MeasureTheory.Measure.compProd_fst_condKernel", "MeasureTheory.Measure.compProd_zero_left", "MeasureTheory.Measure.compProd_zero_right", "MeasureTheory.Measure.compl_mem_cofinite", "MeasureTheory.Measure.completion_apply", "MeasureTheory.Measure.condKernel_apply", "MeasureTheory.Measure.condKernel_apply_of_ne_zero", "MeasureTheory.Measure.condKernel_apply_of_ne_zero_of_measurableSet", "MeasureTheory.Measure.count_apply", "MeasureTheory.Measure.count_apply_eq_top", "MeasureTheory.Measure.count_apply_eq_top'", "MeasureTheory.Measure.count_apply_finite", "MeasureTheory.Measure.count_apply_finite'", "MeasureTheory.Measure.count_apply_finset", "MeasureTheory.Measure.count_apply_finset'", "MeasureTheory.Measure.count_apply_infinite", "MeasureTheory.Measure.count_apply_lt_top", "MeasureTheory.Measure.count_apply_lt_top'", "MeasureTheory.Measure.count_empty", "MeasureTheory.Measure.count_injective_image", "MeasureTheory.Measure.count_injective_image'", "MeasureTheory.Measure.count_ne_zero", "MeasureTheory.Measure.count_ne_zero'", "MeasureTheory.Measure.count_singleton", "MeasureTheory.Measure.count_singleton'", "MeasureTheory.Measure.countable_meas_level_set_pos\u2080", "MeasureTheory.Measure.countable_meas_pos_of_disjoint_iUnion", "MeasureTheory.Measure.countable_meas_pos_of_disjoint_iUnion\u2080", "MeasureTheory.Measure.countable_meas_pos_of_disjoint_of_meas_iUnion_ne_top", "MeasureTheory.Measure.countable_meas_pos_of_disjoint_of_meas_iUnion_ne_top\u2080", "MeasureTheory.Measure.dirac_apply", "MeasureTheory.Measure.dirac_apply'", "MeasureTheory.Measure.dirac_apply_of_mem", "MeasureTheory.Measure.dirac_bind", "MeasureTheory.Measure.dirac_compProd_apply", "MeasureTheory.Measure.dirac_one_mconv", "MeasureTheory.Measure.dirac_prod", "MeasureTheory.Measure.dirac_prod_dirac", "MeasureTheory.Measure.dirac_unit_compProd", "MeasureTheory.Measure.div_mem_nhds_one_of_haar_pos", "MeasureTheory.Measure.empty_of_count_eq_zero", "MeasureTheory.Measure.empty_of_count_eq_zero'", "MeasureTheory.Measure.eqOn_Icc_of_ae_eq", "MeasureTheory.Measure.eqOn_Ico_of_ae_eq", "MeasureTheory.Measure.eqOn_Ioc_of_ae_eq", "MeasureTheory.Measure.eqOn_of_ae_eq", "MeasureTheory.Measure.eqOn_open_of_ae_eq", "MeasureTheory.Measure.eq_of_ae_eq", "MeasureTheory.Measure.eq_rnDeriv", "MeasureTheory.Measure.eq_rnDeriv\u2080", "MeasureTheory.Measure.eq_singularPart", "MeasureTheory.Measure.eq_withDensity_rnDeriv", "MeasureTheory.Measure.eq_zero_of_absolutelyContinuous_of_mutuallySingular", "MeasureTheory.Measure.eventually_cofinite", "MeasureTheory.Measure.eventually_nonempty_inter_smul_of_density_one", "MeasureTheory.Measure.everywherePosSubset_ae_eq", "MeasureTheory.Measure.everywherePosSubset_ae_eq_of_measure_ne_top", "MeasureTheory.Measure.everywherePosSubset_subset", "MeasureTheory.Measure.exists_integral_isMulLeftInvariant_eq_smul_of_hasCompactSupport", "MeasureTheory.Measure.exists_isOpen_everywherePosSubset_eq_diff", "MeasureTheory.Measure.exists_isOpen_measure_lt_top", "MeasureTheory.Measure.exists_measure_inter_spanningSets_pos", "MeasureTheory.Measure.exists_mem_of_measure_ne_zero_of_ae", "MeasureTheory.Measure.exists_positive_of_not_mutuallySingular", "MeasureTheory.Measure.exists_subset_measure_lt_top", "MeasureTheory.Measure.ext", "MeasureTheory.Measure.ext_iff'", "MeasureTheory.Measure.ext_iff_of_biUnion_eq_univ", "MeasureTheory.Measure.ext_iff_of_iUnion_eq_univ", "MeasureTheory.Measure.ext_iff_of_sUnion_eq_univ", "MeasureTheory.Measure.ext_of_Ico'", "MeasureTheory.Measure.ext_of_Ico_finite", "MeasureTheory.Measure.ext_of_Iic", "MeasureTheory.Measure.ext_of_Ioc", "MeasureTheory.Measure.ext_of_Ioc'", "MeasureTheory.Measure.ext_of_Ioc_finite", "MeasureTheory.Measure.ext_of_generateFrom_of_cover", "MeasureTheory.Measure.ext_of_generateFrom_of_cover_subset", "MeasureTheory.Measure.ext_of_generateFrom_of_iUnion", "MeasureTheory.Measure.finiteAtBot", "MeasureTheory.Measure.finiteAt_nhds", "MeasureTheory.Measure.finiteAt_principal", "MeasureTheory.Measure.finite_const_le_meas_of_disjoint_iUnion\u2080", "MeasureTheory.Measure.finset_sum_apply", "MeasureTheory.Measure.forall_measure_inter_spanningSets_eq_zero", "MeasureTheory.Measure.fst_apply", "MeasureTheory.Measure.fst_map_prod_mk\u2080", "MeasureTheory.Measure.fst_map_swap", "MeasureTheory.Measure.fst_prod", "MeasureTheory.Measure.fst_univ", "MeasureTheory.Measure.fst_zero", "MeasureTheory.Measure.haar.chaar_empty", "MeasureTheory.Measure.haar.chaar_mem_clPrehaar", "MeasureTheory.Measure.haar.chaar_mono", "MeasureTheory.Measure.haar.chaar_nonneg", "MeasureTheory.Measure.haar.chaar_self", "MeasureTheory.Measure.haar.chaar_sup_eq", "MeasureTheory.Measure.haar.chaar_sup_le", "MeasureTheory.Measure.haar.haarContent_apply", "MeasureTheory.Measure.haar.haarContent_outerMeasure_self_pos", "MeasureTheory.Measure.haar.haarContent_self", "MeasureTheory.Measure.haar.index_defined", "MeasureTheory.Measure.haar.index_elim", "MeasureTheory.Measure.haar.index_empty", "MeasureTheory.Measure.haar.index_mono", "MeasureTheory.Measure.haar.index_pos", "MeasureTheory.Measure.haar.index_union_eq", "MeasureTheory.Measure.haar.index_union_le", "MeasureTheory.Measure.haar.is_left_invariant_chaar", "MeasureTheory.Measure.haar.is_left_invariant_haarContent", "MeasureTheory.Measure.haar.is_left_invariant_index", "MeasureTheory.Measure.haar.is_left_invariant_prehaar", "MeasureTheory.Measure.haar.le_index_mul", "MeasureTheory.Measure.haar.mem_prehaar_empty", "MeasureTheory.Measure.haar.mul_left_index_le", "MeasureTheory.Measure.haar.nonempty_iInter_clPrehaar", "MeasureTheory.Measure.haar.prehaar_empty", "MeasureTheory.Measure.haar.prehaar_le_index", "MeasureTheory.Measure.haar.prehaar_mem_haarProduct", "MeasureTheory.Measure.haar.prehaar_mono", "MeasureTheory.Measure.haar.prehaar_nonneg", "MeasureTheory.Measure.haar.prehaar_pos", "MeasureTheory.Measure.haar.prehaar_self", "MeasureTheory.Measure.haar.prehaar_sup_eq", "MeasureTheory.Measure.haar.prehaar_sup_le", "MeasureTheory.Measure.haarMeasure_apply", "MeasureTheory.Measure.haarMeasure_closure_self", "MeasureTheory.Measure.haarMeasure_eq_iff", "MeasureTheory.Measure.haarMeasure_self", "MeasureTheory.Measure.haarMeasure_unique", "MeasureTheory.Measure.haarScalarFactor_eq_integral_div", "MeasureTheory.Measure.haarScalarFactor_eq_mul", "MeasureTheory.Measure.haarScalarFactor_pos_of_isHaarMeasure", "MeasureTheory.Measure.haarScalarFactor_self", "MeasureTheory.Measure.haarScalarFactor_smul", "MeasureTheory.Measure.haar_singleton", "MeasureTheory.Measure.hausdorffMeasure_apply", "MeasureTheory.Measure.hausdorffMeasure_le_liminf_sum", "MeasureTheory.Measure.hausdorffMeasure_le_one_of_subsingleton", "MeasureTheory.Measure.hausdorffMeasure_mono", "MeasureTheory.Measure.hausdorffMeasure_smul\u2080", "MeasureTheory.Measure.hausdorffMeasure_zero_or_top", "MeasureTheory.Measure.hausdorffMeasure_zero_singleton", "MeasureTheory.Measure.haveLebesgueDecomposition_add", "MeasureTheory.Measure.haveLebesgueDecomposition_of_finiteMeasure", "MeasureTheory.Measure.haveLebesgueDecomposition_spec", "MeasureTheory.Measure.iInf_rat_gt_prod_Iic", "MeasureTheory.Measure.iSup_restrict_spanningSets", "MeasureTheory.Measure.iSup_restrict_spanningSets_of_measurableSet", "MeasureTheory.Measure.innerRegularWRT_preimage_one_hasCompactSupport_measure_ne_top_of_group", "MeasureTheory.Measure.integrableOn_toReal_rnDeriv", "MeasureTheory.Measure.integrable_compProd_iff", "MeasureTheory.Measure.integrable_measure_prod_mk_left", "MeasureTheory.Measure.integral_compProd", "MeasureTheory.Measure.integral_comp_div", "MeasureTheory.Measure.integral_comp_inv_mul_left", "MeasureTheory.Measure.integral_comp_inv_mul_right", "MeasureTheory.Measure.integral_comp_inv_smul", "MeasureTheory.Measure.integral_comp_inv_smul_of_nonneg", "MeasureTheory.Measure.integral_comp_mul_left", "MeasureTheory.Measure.integral_comp_mul_right", "MeasureTheory.Measure.integral_comp_smul", "MeasureTheory.Measure.integral_comp_smul_of_nonneg", "MeasureTheory.Measure.integral_condKernel", "MeasureTheory.Measure.integral_isMulLeftInvariant_eq_smul_of_hasCompactSupport", "MeasureTheory.Measure.integral_isMulLeftInvariant_isMulRightInvariant_combo", "MeasureTheory.Measure.integral_toReal_rnDeriv", "MeasureTheory.Measure.interior_eq_empty_of_null", "MeasureTheory.Measure.inv_apply", "MeasureTheory.Measure.inv_def", "MeasureTheory.Measure.inv_inv", "MeasureTheory.Measure.inv_rnDeriv", "MeasureTheory.Measure.inv_rnDeriv'", "MeasureTheory.Measure.inv_rnDeriv_aux", "MeasureTheory.Measure.isComplete_iff", "MeasureTheory.Measure.isEverywherePos_everywherePosSubset", "MeasureTheory.Measure.isEverywherePos_everywherePosSubset_of_measure_ne_top", "MeasureTheory.Measure.isFiniteMeasure_map", "MeasureTheory.Measure.isHaarMeasure_eq_of_isProbabilityMeasure", "MeasureTheory.Measure.isHaarMeasure_map", "MeasureTheory.Measure.isHaarMeasure_map_of_isFiniteMeasure", "MeasureTheory.Measure.isHaarMeasure_of_isCompact_nonempty_interior", "MeasureTheory.Measure.isMulInvariant_eq_smul_of_compactSpace", "MeasureTheory.Measure.isMulLeftInvariant_eq_smul_of_innerRegular", "MeasureTheory.Measure.isMulLeftInvariant_eq_smul_of_regular", "MeasureTheory.Measure.isOpenPosMeasure_smul", "MeasureTheory.Measure.isTopologicalBasis_isOpen_lt_top", "MeasureTheory.Measure.join_apply", "MeasureTheory.Measure.join_dirac", "MeasureTheory.Measure.join_eq_bind", "MeasureTheory.Measure.join_map_dirac", "MeasureTheory.Measure.join_map_join", "MeasureTheory.Measure.join_map_map", "MeasureTheory.Measure.join_zero", "MeasureTheory.Measure.le_add_left", "MeasureTheory.Measure.le_add_right", "MeasureTheory.Measure.le_comap_apply", "MeasureTheory.Measure.le_count_apply", "MeasureTheory.Measure.le_hausdorffMeasure", "MeasureTheory.Measure.le_iff", "MeasureTheory.Measure.le_iff'", "MeasureTheory.Measure.le_intro", "MeasureTheory.Measure.le_map_apply_image", "MeasureTheory.Measure.le_mkMetric", "MeasureTheory.Measure.le_of_add_le_add_left", "MeasureTheory.Measure.le_restrict_apply", "MeasureTheory.Measure.le_sum", "MeasureTheory.Measure.le_sum_apply", "MeasureTheory.Measure.liftLinear_apply\u2080", "MeasureTheory.Measure.lintegral_bind", "MeasureTheory.Measure.lintegral_compProd", "MeasureTheory.Measure.lintegral_condKernel", "MeasureTheory.Measure.lintegral_condKernel_mem", "MeasureTheory.Measure.lintegral_join", "MeasureTheory.Measure.lintegral_rnDeriv", "MeasureTheory.Measure.lintegral_rnDeriv_lt_top", "MeasureTheory.Measure.lintegral_rnDeriv_lt_top_of_measure_ne_top", "MeasureTheory.Measure.lt_iff", "MeasureTheory.Measure.lt_iff'", "MeasureTheory.Measure.map_add", "MeasureTheory.Measure.map_addHaar_smul", "MeasureTheory.Measure.map_apply", "MeasureTheory.Measure.map_apply_of_aemeasurable", "MeasureTheory.Measure.map_apply\u2080", "MeasureTheory.Measure.map_congr", "MeasureTheory.Measure.map_const", "MeasureTheory.Measure.map_dirac", "MeasureTheory.Measure.map_div_left_ae", "MeasureTheory.Measure.map_div_left_eq_self", "MeasureTheory.Measure.map_eq_sum", "MeasureTheory.Measure.map_eq_zero_iff", "MeasureTheory.Measure.map_fst_prod", "MeasureTheory.Measure.map_id'", "MeasureTheory.Measure.map_inv_eq_self", "MeasureTheory.Measure.map_linearMap_addHaar_eq_smul_addHaar", "MeasureTheory.Measure.map_linearMap_addHaar_pi_eq_smul_addHaar", "MeasureTheory.Measure.map_map", "MeasureTheory.Measure.map_mono_of_aemeasurable", "MeasureTheory.Measure.map_mul_right_inv_eq_self", "MeasureTheory.Measure.map_ne_zero_iff", "MeasureTheory.Measure.map_of_not_aemeasurable", "MeasureTheory.Measure.map_prod_map", "MeasureTheory.Measure.map_smul", "MeasureTheory.Measure.map_smul_nnreal", "MeasureTheory.Measure.map_snd_prod", "MeasureTheory.Measure.map_sum", "MeasureTheory.Measure.map_toOuterMeasure", "MeasureTheory.Measure.map_zero", "MeasureTheory.Measure.map\u2097_congr", "MeasureTheory.Measure.map\u2097_mk_apply_of_aemeasurable", "MeasureTheory.Measure.map\u2097_ne_zero_iff", "MeasureTheory.Measure.mconv_add", "MeasureTheory.Measure.mconv_comm", "MeasureTheory.Measure.mconv_dirac_one", "MeasureTheory.Measure.mconv_zero", "MeasureTheory.Measure.measurable_bind'", "MeasureTheory.Measure.measurable_coe", "MeasureTheory.Measure.measurable_dirac", "MeasureTheory.Measure.measurable_join", "MeasureTheory.Measure.measurable_lintegral", "MeasureTheory.Measure.measurable_map", "MeasureTheory.Measure.measurable_measure", "MeasureTheory.Measure.measurable_of_measurable_coe", "MeasureTheory.Measure.measurable_rnDeriv", "MeasureTheory.Measure.measurePreserving_div_left", "MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd", "MeasureTheory.Measure.measurePreserving_inv", "MeasureTheory.Measure.measurePreserving_zpow", "MeasureTheory.Measure.measure_Iio_pos", "MeasureTheory.Measure.measure_Ioo_eq_zero", "MeasureTheory.Measure.measure_ae_null_of_prod_null", "MeasureTheory.Measure.measure_eq_left_of_subset_of_measure_add_eq", "MeasureTheory.Measure.measure_eq_right_of_subset_of_measure_add_eq", "MeasureTheory.Measure.measure_eq_zero_of_subset_diff_everywherePosSubset", "MeasureTheory.Measure.measure_inter_eq_of_measure_eq", "MeasureTheory.Measure.measure_inter_eq_zero_of_restrict", "MeasureTheory.Measure.measure_inv", "MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isEverywherePos", "MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isOpen", "MeasureTheory.Measure.measure_isMulInvariant_eq_smul_of_isCompact_closure", "MeasureTheory.Measure.measure_isMulInvariant_eq_smul_of_isCompact_closure_of_innerRegularCompactLTTop", "MeasureTheory.Measure.measure_isMulInvariant_eq_smul_of_isCompact_closure_of_measurableSet", "MeasureTheory.Measure.measure_isMulLeftInvariant_eq_smul_of_ne_top", "MeasureTheory.Measure.measure_preimage_inv", "MeasureTheory.Measure.measure_preimage_isMulLeftInvariant_eq_smul_of_hasCompactSupport", "MeasureTheory.Measure.measure_prod_compl_eq_zero", "MeasureTheory.Measure.measure_prod_null", "MeasureTheory.Measure.measure_sInf_le", "MeasureTheory.Measure.measure_subtype_coe_le_comap", "MeasureTheory.Measure.measure_toMeasurable_add_inter_left", "MeasureTheory.Measure.measure_toMeasurable_add_inter_right", "MeasureTheory.Measure.measure_toMeasurable_inter", "MeasureTheory.Measure.measure_toMeasurable_inter_of_cover", "MeasureTheory.Measure.measure_toMeasurable_inter_of_sFinite", "MeasureTheory.Measure.measure_toMeasurable_inter_of_sum", "MeasureTheory.Measure.measure_univ_eq_zero", "MeasureTheory.Measure.measure_univ_ne_zero", "MeasureTheory.Measure.measure_univ_pos", "MeasureTheory.Measure.mem_cofinite", "MeasureTheory.Measure.mkMetric_apply", "MeasureTheory.Measure.mkMetric_le_liminf_sum", "MeasureTheory.Measure.mkMetric_le_liminf_tsum", "MeasureTheory.Measure.mkMetric_mono", "MeasureTheory.Measure.mkMetric_mono_smul", "MeasureTheory.Measure.mkMetric_toOuterMeasure", "MeasureTheory.Measure.mkMetric_top", "MeasureTheory.Measure.mutuallySingular_singularPart", "MeasureTheory.Measure.nnreal_smul_coe_apply", "MeasureTheory.Measure.noAtoms_hausdorff", "MeasureTheory.Measure.nullMeasurableSet_preimage_fst", "MeasureTheory.Measure.nullMeasurableSet_prod", "MeasureTheory.Measure.nullMeasurableSet_prod_of_ne_zero", "MeasureTheory.Measure.nullMeasurable_comp_snd", "MeasureTheory.Measure.ofMeasurable_apply", "MeasureTheory.Measure.one_le_hausdorffMeasure_zero_of_nonempty", "MeasureTheory.Measure.outerMeasure_le_iff", "MeasureTheory.Measure.pairwise_aedisjoint_of_aedisjoint_forall_ne_one", "MeasureTheory.Measure.pi'_pi", "MeasureTheory.Measure.pi_Ico_ae_eq_pi_Icc", "MeasureTheory.Measure.pi_Iio_ae_eq_pi_Iic", "MeasureTheory.Measure.pi_Ioi_ae_eq_pi_Ici", "MeasureTheory.Measure.pi_Ioo_ae_eq_pi_Icc", "MeasureTheory.Measure.pi_ball", "MeasureTheory.Measure.pi_caratheodory", "MeasureTheory.Measure.pi_closedBall", "MeasureTheory.Measure.pi_eq", "MeasureTheory.Measure.pi_eq_generateFrom", "MeasureTheory.Measure.pi_eval_preimage_null", "MeasureTheory.Measure.pi_hyperplane", "MeasureTheory.Measure.pi_map_piCongrLeft", "MeasureTheory.Measure.pi_map_piOptionEquivProd", "MeasureTheory.Measure.pi_noAtoms", "MeasureTheory.Measure.pi_of_empty", "MeasureTheory.Measure.pi_pi", "MeasureTheory.Measure.pi_pi_aux", "MeasureTheory.Measure.pi_univ", "MeasureTheory.Measure.preimage_null_of_map_null", "MeasureTheory.Measure.prodAssoc_prod", "MeasureTheory.Measure.prod_add", "MeasureTheory.Measure.prod_apply", "MeasureTheory.Measure.prod_apply_symm", "MeasureTheory.Measure.prod_dirac", "MeasureTheory.Measure.prod_eq", "MeasureTheory.Measure.prod_eq_generateFrom", "MeasureTheory.Measure.prod_prod", "MeasureTheory.Measure.prod_restrict", "MeasureTheory.Measure.prod_sum", "MeasureTheory.Measure.prod_sum_left", "MeasureTheory.Measure.prod_sum_right", "MeasureTheory.Measure.prod_swap", "MeasureTheory.Measure.prod_zero", "MeasureTheory.Measure.quasiMeasurePreserving_fst", "MeasureTheory.Measure.quasiMeasurePreserving_smul", "MeasureTheory.Measure.quasiMeasurePreserving_snd", "MeasureTheory.Measure.restrict_add", "MeasureTheory.Measure.restrict_add_restrict_compl", "MeasureTheory.Measure.restrict_apply", "MeasureTheory.Measure.restrict_apply'", "MeasureTheory.Measure.restrict_apply_eq_zero", "MeasureTheory.Measure.restrict_apply_eq_zero'", "MeasureTheory.Measure.restrict_apply_le", "MeasureTheory.Measure.restrict_apply_self", "MeasureTheory.Measure.restrict_apply_univ", "MeasureTheory.Measure.restrict_apply\u2080", "MeasureTheory.Measure.restrict_apply\u2080'", "MeasureTheory.Measure.restrict_biUnion_congr", "MeasureTheory.Measure.restrict_comm", "MeasureTheory.Measure.restrict_compl_add_restrict", "MeasureTheory.Measure.restrict_congr_meas", "MeasureTheory.Measure.restrict_congr_mono", "MeasureTheory.Measure.restrict_congr_set", "MeasureTheory.Measure.restrict_eq_self", "MeasureTheory.Measure.restrict_eq_self_of_ae_mem", "MeasureTheory.Measure.restrict_eq_zero", "MeasureTheory.Measure.restrict_finset_biUnion_congr", "MeasureTheory.Measure.restrict_iUnion", "MeasureTheory.Measure.restrict_iUnion_ae", "MeasureTheory.Measure.restrict_iUnion_apply_ae", "MeasureTheory.Measure.restrict_iUnion_apply_eq_iSup", "MeasureTheory.Measure.restrict_iUnion_congr", "MeasureTheory.Measure.restrict_iUnion_le", "MeasureTheory.Measure.restrict_inter_add_diff", "MeasureTheory.Measure.restrict_inter_add_diff\u2080", "MeasureTheory.Measure.restrict_le_self", "MeasureTheory.Measure.restrict_map", "MeasureTheory.Measure.restrict_map_of_aemeasurable", "MeasureTheory.Measure.restrict_mono", "MeasureTheory.Measure.restrict_mono'", "MeasureTheory.Measure.restrict_mono_ae", "MeasureTheory.Measure.restrict_prod_eq_prod_univ", "MeasureTheory.Measure.restrict_restrict", "MeasureTheory.Measure.restrict_restrict_of_subset", "MeasureTheory.Measure.restrict_restrict\u2080", "MeasureTheory.Measure.restrict_restrict\u2080'", "MeasureTheory.Measure.restrict_sInf_eq_sInf_restrict", "MeasureTheory.Measure.restrict_singleton", "MeasureTheory.Measure.restrict_singleton'", "MeasureTheory.Measure.restrict_smul", "MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrict", "MeasureTheory.Measure.restrict_sum", "MeasureTheory.Measure.restrict_sum_of_countable", "MeasureTheory.Measure.restrict_toMeasurable", "MeasureTheory.Measure.restrict_toMeasurable_of_cover", "MeasureTheory.Measure.restrict_toMeasurable_of_sFinite", "MeasureTheory.Measure.restrict_toOuterMeasure_eq_toOuterMeasure_restrict", "MeasureTheory.Measure.restrict_union", "MeasureTheory.Measure.restrict_union'", "MeasureTheory.Measure.restrict_union_add_inter", "MeasureTheory.Measure.restrict_union_add_inter'", "MeasureTheory.Measure.restrict_union_add_inter\u2080", "MeasureTheory.Measure.restrict_union_congr", "MeasureTheory.Measure.restrict_union_le", "MeasureTheory.Measure.restrict_univ", "MeasureTheory.Measure.rnDeriv_add", "MeasureTheory.Measure.rnDeriv_add'", "MeasureTheory.Measure.rnDeriv_add_of_mutuallySingular", "MeasureTheory.Measure.rnDeriv_add_right_of_absolutelyContinuous_of_mutuallySingular", "MeasureTheory.Measure.rnDeriv_add_right_of_mutuallySingular", "MeasureTheory.Measure.rnDeriv_add_right_of_mutuallySingular'", "MeasureTheory.Measure.rnDeriv_add_singularPart", "MeasureTheory.Measure.rnDeriv_eq_zero", "MeasureTheory.Measure.rnDeriv_eq_zero_of_mutuallySingular", "MeasureTheory.Measure.rnDeriv_le_one_of_le", "MeasureTheory.Measure.rnDeriv_lt_top", "MeasureTheory.Measure.rnDeriv_mul_rnDeriv", "MeasureTheory.Measure.rnDeriv_ne_top", "MeasureTheory.Measure.rnDeriv_of_not_haveLebesgueDecomposition", "MeasureTheory.Measure.rnDeriv_pos", "MeasureTheory.Measure.rnDeriv_pos'", "MeasureTheory.Measure.rnDeriv_restrict", "MeasureTheory.Measure.rnDeriv_restrict_self", "MeasureTheory.Measure.rnDeriv_self", "MeasureTheory.Measure.rnDeriv_singularPart", "MeasureTheory.Measure.rnDeriv_smul_left", "MeasureTheory.Measure.rnDeriv_smul_left'", "MeasureTheory.Measure.rnDeriv_smul_left_of_ne_top", "MeasureTheory.Measure.rnDeriv_smul_left_of_ne_top'", "MeasureTheory.Measure.rnDeriv_smul_right", "MeasureTheory.Measure.rnDeriv_smul_right'", "MeasureTheory.Measure.rnDeriv_smul_right_of_ne_top", "MeasureTheory.Measure.rnDeriv_smul_right_of_ne_top'", "MeasureTheory.Measure.rnDeriv_withDensity", "MeasureTheory.Measure.rnDeriv_withDensity_left", "MeasureTheory.Measure.rnDeriv_withDensity_left_of_absolutelyContinuous", "MeasureTheory.Measure.rnDeriv_withDensity_right", "MeasureTheory.Measure.rnDeriv_withDensity_right_of_absolutelyContinuous", "MeasureTheory.Measure.rnDeriv_withDensity_rnDeriv", "MeasureTheory.Measure.rnDeriv_withDensity_withDensity_rnDeriv_left", "MeasureTheory.Measure.rnDeriv_withDensity_withDensity_rnDeriv_right", "MeasureTheory.Measure.rnDeriv_zero", "MeasureTheory.Measure.sInf_caratheodory", "MeasureTheory.Measure.setIntegral_compProd", "MeasureTheory.Measure.setIntegral_comp_smul", "MeasureTheory.Measure.setIntegral_comp_smul_of_pos", "MeasureTheory.Measure.setIntegral_condKernel", "MeasureTheory.Measure.setIntegral_condKernel_univ_left", "MeasureTheory.Measure.setIntegral_condKernel_univ_right", "MeasureTheory.Measure.setIntegral_toReal_rnDeriv'", "MeasureTheory.Measure.setIntegral_toReal_rnDeriv_eq_withDensity", "MeasureTheory.Measure.setIntegral_toReal_rnDeriv_eq_withDensity'", "MeasureTheory.Measure.setIntegral_toReal_rnDeriv_le", "MeasureTheory.Measure.setLIntegral_compProd", "MeasureTheory.Measure.setLIntegral_condKernel", "MeasureTheory.Measure.setLIntegral_condKernel_eq_measure_prod", "MeasureTheory.Measure.setLIntegral_condKernel_univ_left", "MeasureTheory.Measure.setLIntegral_condKernel_univ_right", "MeasureTheory.Measure.setLIntegral_rnDeriv'", "MeasureTheory.Measure.set_prod_ae_eq", "MeasureTheory.Measure.sigmaFinite_of_countable", "MeasureTheory.Measure.sigmaFinite_of_le", "MeasureTheory.Measure.singularPart_add", "MeasureTheory.Measure.singularPart_add_rnDeriv", "MeasureTheory.Measure.singularPart_eq_self", "MeasureTheory.Measure.singularPart_eq_zero", "MeasureTheory.Measure.singularPart_eq_zero_of_ac", "MeasureTheory.Measure.singularPart_le", "MeasureTheory.Measure.singularPart_of_not_haveLebesgueDecomposition", "MeasureTheory.Measure.singularPart_restrict", "MeasureTheory.Measure.singularPart_singularPart", "MeasureTheory.Measure.singularPart_smul", "MeasureTheory.Measure.singularPart_smul_right", "MeasureTheory.Measure.singularPart_zero", "MeasureTheory.Measure.singularPart_zero_right", "MeasureTheory.Measure.smul_absolutelyContinuous", "MeasureTheory.Measure.smul_apply", "MeasureTheory.Measure.smul_finite", "MeasureTheory.Measure.smul_measure_isMulInvariant_le_of_isCompact_closure", "MeasureTheory.Measure.smul_toOuterMeasure", "MeasureTheory.Measure.snd_apply", "MeasureTheory.Measure.snd_dirac_unit_compProd_const", "MeasureTheory.Measure.snd_map_prod_mk", "MeasureTheory.Measure.snd_map_prod_mk\u2080", "MeasureTheory.Measure.snd_map_swap", "MeasureTheory.Measure.snd_prod", "MeasureTheory.Measure.snd_univ", "MeasureTheory.Measure.snd_zero", "MeasureTheory.Measure.sub_add_cancel_of_le", "MeasureTheory.Measure.sub_apply", "MeasureTheory.Measure.sub_apply_eq_zero_of_restrict_le_restrict", "MeasureTheory.Measure.sub_eq_zero_of_le", "MeasureTheory.Measure.sub_le", "MeasureTheory.Measure.sub_le_of_le_add", "MeasureTheory.Measure.sum_add_sum", "MeasureTheory.Measure.sum_add_sum_compl", "MeasureTheory.Measure.sum_apply", "MeasureTheory.Measure.sum_apply_eq_zero", "MeasureTheory.Measure.sum_apply_eq_zero'", "MeasureTheory.Measure.sum_apply_of_countable", "MeasureTheory.Measure.sum_apply\u2080", "MeasureTheory.Measure.sum_bool", "MeasureTheory.Measure.sum_coe_finset", "MeasureTheory.Measure.sum_comm", "MeasureTheory.Measure.sum_comp_equiv", "MeasureTheory.Measure.sum_cond", "MeasureTheory.Measure.sum_extend_zero", "MeasureTheory.Measure.sum_fintype", "MeasureTheory.Measure.sum_of_isEmpty", "MeasureTheory.Measure.sum_smul_dirac", "MeasureTheory.Measure.sum_sum", "MeasureTheory.Measure.sum_zero", "MeasureTheory.Measure.tendsto_IicSnd_atBot", "MeasureTheory.Measure.tendsto_IicSnd_atTop", "MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one", "MeasureTheory.Measure.tendsto_addHaar_inter_smul_one_of_density_one_aux", "MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero", "MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1", "MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux2", "MeasureTheory.Measure.tendsto_ae_map", "MeasureTheory.Measure.tendsto_eval_ae_ae", "MeasureTheory.Measure.toENNRealVectorMeasure_add", "MeasureTheory.Measure.toENNRealVectorMeasure_apply_measurable", "MeasureTheory.Measure.toENNRealVectorMeasure_ennrealToMeasure", "MeasureTheory.Measure.toENNRealVectorMeasure_zero", "MeasureTheory.Measure.toOuterMeasure_apply", "MeasureTheory.Measure.toOuterMeasure_injective", "MeasureTheory.Measure.toOuterMeasure_top", "MeasureTheory.Measure.toPMF_apply", "MeasureTheory.Measure.toPMF_toMeasure", "MeasureTheory.Measure.toSignedMeasure_add", "MeasureTheory.Measure.toSignedMeasure_apply_measurable", "MeasureTheory.Measure.toSignedMeasure_congr", "MeasureTheory.Measure.toSignedMeasure_eq_toSignedMeasure_iff", "MeasureTheory.Measure.toSignedMeasure_smul", "MeasureTheory.Measure.toSignedMeasure_sub_apply", "MeasureTheory.Measure.toSignedMeasure_toMeasureOfZeroLE", "MeasureTheory.Measure.toSignedMeasure_zero", "MeasureTheory.Measure.toSphere_apply'", "MeasureTheory.Measure.toSphere_apply_aux", "MeasureTheory.Measure.toSphere_apply_univ", "MeasureTheory.Measure.toSphere_apply_univ'", "MeasureTheory.Measure.top_add", "MeasureTheory.Measure.tprod_nil", "MeasureTheory.Measure.tprod_tprod", "MeasureTheory.Measure.trimmed", "MeasureTheory.Measure.tsum_indicator_apply_singleton", "MeasureTheory.Measure.univ_pi_Ico_ae_eq_Icc", "MeasureTheory.Measure.univ_pi_Iio_ae_eq_Iic", "MeasureTheory.Measure.univ_pi_Ioc_ae_eq_Icc", "MeasureTheory.Measure.univ_pi_Ioi_ae_eq_Ici", "MeasureTheory.Measure.univ_pi_Ioo_ae_eq_Icc", "MeasureTheory.Measure.volumeIoiPow_apply_Iio", "MeasureTheory.Measure.volume_eq_prod", "MeasureTheory.Measure.volume_subtype_coe_eq_zero_of_volume_eq_zero", "MeasureTheory.Measure.volume_subtype_coe_le_volume", "MeasureTheory.Measure.withDensity_rnDeriv_eq", "MeasureTheory.Measure.withDensity_rnDeriv_eq_zero", "MeasureTheory.Measure.withDensity_rnDeriv_le", "MeasureTheory.Measure.withDensity\u1d65_absolutelyContinuous", "MeasureTheory.Measure.zero_le", "MeasureTheory.Measure.zero_le_toSignedMeasure", "MeasureTheory.Measure.zero_mconv", "MeasureTheory.MeasurePreserving.aemeasurable_comp_iff", "MeasureTheory.MeasurePreserving.aestronglyMeasurable_comp_iff", "MeasureTheory.MeasurePreserving.comp", "MeasureTheory.MeasurePreserving.comp_left_iff", "MeasureTheory.MeasurePreserving.comp_right_iff", "MeasureTheory.MeasurePreserving.conservative", "MeasureTheory.MeasurePreserving.ergodic_conjugate_iff", "MeasureTheory.MeasurePreserving.exists_mem_iterate_mem", "MeasureTheory.MeasurePreserving.exists_mem_iterate_mem_of_volume_lt_mul_volume", "MeasureTheory.MeasurePreserving.id", "MeasureTheory.MeasurePreserving.integrableOn_comp_preimage", "MeasureTheory.MeasurePreserving.integrableOn_image", "MeasureTheory.MeasurePreserving.integrable_comp", "MeasureTheory.MeasurePreserving.integrable_comp_emb", "MeasureTheory.MeasurePreserving.integral_comp", "MeasureTheory.MeasurePreserving.integral_comp'", "MeasureTheory.MeasurePreserving.iterate", "MeasureTheory.MeasurePreserving.lintegral_comp", "MeasureTheory.MeasurePreserving.lintegral_comp_emb", "MeasureTheory.MeasurePreserving.lintegral_map_equiv", "MeasureTheory.MeasurePreserving.measure_preimage", "MeasureTheory.MeasurePreserving.measure_preimage_emb", "MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_le", "MeasureTheory.MeasurePreserving.mul_left", "MeasureTheory.MeasurePreserving.mul_right", "MeasureTheory.MeasurePreserving.of_isEmpty", "MeasureTheory.MeasurePreserving.preErgodic_conjugate_iff", "MeasureTheory.MeasurePreserving.preErgodic_of_preErgodic_conjugate", "MeasureTheory.MeasurePreserving.prod", "MeasureTheory.MeasurePreserving.quasiMeasurePreserving", "MeasureTheory.MeasurePreserving.restrict_image_emb", "MeasureTheory.MeasurePreserving.restrict_preimage", "MeasureTheory.MeasurePreserving.restrict_preimage_emb", "MeasureTheory.MeasurePreserving.setIntegral_image_emb", "MeasureTheory.MeasurePreserving.setLIntegral_comp_emb", "MeasureTheory.MeasurePreserving.setLIntegral_comp_preimage", "MeasureTheory.MeasurePreserving.setLIntegral_comp_preimage_emb", "MeasureTheory.MeasurePreserving.sigmaFinite", "MeasureTheory.MeasurePreserving.skew_product", "MeasureTheory.MeasurePreserving.symm", "MeasureTheory.MeasurePreserving.trans", "MeasureTheory.Mem\u2112p.abs", "MeasureTheory.Mem\u2112p.add", "MeasureTheory.Mem\u2112p.ae_eq", "MeasureTheory.Mem\u2112p.aefinStronglyMeasurable", "MeasureTheory.Mem\u2112p.aestronglyMeasurable", "MeasureTheory.Mem\u2112p.coeFn_toLp", "MeasureTheory.Mem\u2112p.comp_measurePreserving", "MeasureTheory.Mem\u2112p.comp_of_map", "MeasureTheory.Mem\u2112p.const_inner", "MeasureTheory.Mem\u2112p.const_mul", "MeasureTheory.Mem\u2112p.const_smul", "MeasureTheory.Mem\u2112p.evariance_lt_top", "MeasureTheory.Mem\u2112p.exists_boundedContinuous_integral_rpow_sub_le", "MeasureTheory.Mem\u2112p.exists_boundedContinuous_snorm_sub_le", "MeasureTheory.Mem\u2112p.exists_hasCompactSupport_integral_rpow_sub_le", "MeasureTheory.Mem\u2112p.exists_hasCompactSupport_snorm_sub_le", "MeasureTheory.Mem\u2112p.exists_simpleFunc_snorm_sub_lt", "MeasureTheory.Mem\u2112p.finStronglyMeasurable_of_stronglyMeasurable", "MeasureTheory.Mem\u2112p.im", "MeasureTheory.Mem\u2112p.induction", "MeasureTheory.Mem\u2112p.induction_dense", "MeasureTheory.Mem\u2112p.induction_stronglyMeasurable", "MeasureTheory.Mem\u2112p.inf", "MeasureTheory.Mem\u2112p.inner_const", "MeasureTheory.Mem\u2112p.integrable_norm_rpow", "MeasureTheory.Mem\u2112p.integrable_sq", "MeasureTheory.Mem\u2112p.integral_indicator_norm_ge_le", "MeasureTheory.Mem\u2112p.integral_indicator_norm_ge_nonneg_le", "MeasureTheory.Mem\u2112p.left_of_add_measure", "MeasureTheory.Mem\u2112p.locallyIntegrable", "MeasureTheory.Mem\u2112p.mem\u2112p_of_exponent_le", "MeasureTheory.Mem\u2112p.mem\u2112p_of_exponent_le_of_measure_support_ne_top", "MeasureTheory.Mem\u2112p.mono'", "MeasureTheory.Mem\u2112p.mono_measure", "MeasureTheory.Mem\u2112p.neg", "MeasureTheory.Mem\u2112p.neg_part", "MeasureTheory.Mem\u2112p.norm", "MeasureTheory.Mem\u2112p.norm_rpow", "MeasureTheory.Mem\u2112p.norm_rpow_div", "MeasureTheory.Mem\u2112p.ofReal", "MeasureTheory.Mem\u2112p.ofReal_variance_eq", "MeasureTheory.Mem\u2112p.of_comp_antilipschitzWith", "MeasureTheory.Mem\u2112p.of_le_mul", "MeasureTheory.Mem\u2112p.of_measure_le_smul", "MeasureTheory.Mem\u2112p.of_nnnorm_le_mul", "MeasureTheory.Mem\u2112p.piecewise", "MeasureTheory.Mem\u2112p.re", "MeasureTheory.Mem\u2112p.right_of_add_measure", "MeasureTheory.Mem\u2112p.smul_measure", "MeasureTheory.Mem\u2112p.smul_of_top_left", "MeasureTheory.Mem\u2112p.smul_of_top_right", "MeasureTheory.Mem\u2112p.snormEssSup_indicator_norm_ge_eq_zero", "MeasureTheory.Mem\u2112p.snorm_eq_integral_rpow_norm", "MeasureTheory.Mem\u2112p.snorm_indicator_le", "MeasureTheory.Mem\u2112p.snorm_indicator_le'", "MeasureTheory.Mem\u2112p.snorm_indicator_le_of_meas", "MeasureTheory.Mem\u2112p.snorm_indicator_norm_ge_le", "MeasureTheory.Mem\u2112p.snorm_indicator_norm_ge_pos_le", "MeasureTheory.Mem\u2112p.snorm_lt_top", "MeasureTheory.Mem\u2112p.sub", "MeasureTheory.Mem\u2112p.sup", "MeasureTheory.Mem\u2112p.toLp_add", "MeasureTheory.Mem\u2112p.toLp_const", "MeasureTheory.Mem\u2112p.toLp_const_smul", "MeasureTheory.Mem\u2112p.toLp_eq_toLp_iff", "MeasureTheory.Mem\u2112p.variance_eq", "MeasureTheory.Mem\u2112p.variance_eq_of_integral_eq_zero", "MeasureTheory.NullMeasurable.aemeasurable", "MeasureTheory.NullMeasurable.aemeasurable_of_aerange", "MeasureTheory.NullMeasurable.congr", "MeasureTheory.NullMeasurable.measurable'", "MeasureTheory.NullMeasurable.measure_preimage_eq_measure_restrict_preimage_of_ae_compl_eq_const", "MeasureTheory.NullMeasurableSet.biUnion", "MeasureTheory.NullMeasurableSet.compl", "MeasureTheory.NullMeasurableSet.compl_iff", "MeasureTheory.NullMeasurableSet.compl_toMeasurable_compl_ae_eq", "MeasureTheory.NullMeasurableSet.diff", "MeasureTheory.NullMeasurableSet.disjointed", "MeasureTheory.NullMeasurableSet.exists_measurable_superset_ae_eq", "MeasureTheory.NullMeasurableSet.fundamentalFrontier", "MeasureTheory.NullMeasurableSet.iInter", "MeasureTheory.NullMeasurableSet.inter", "MeasureTheory.NullMeasurableSet.left_of_prod", "MeasureTheory.NullMeasurableSet.measurable_of_complete", "MeasureTheory.NullMeasurableSet.mono", "MeasureTheory.NullMeasurableSet.mono_ac", "MeasureTheory.NullMeasurableSet.of_compl", "MeasureTheory.NullMeasurableSet.prod", "MeasureTheory.NullMeasurableSet.right_of_prod", "MeasureTheory.NullMeasurableSet.sInter", "MeasureTheory.NullMeasurableSet.sUnion", "MeasureTheory.NullMeasurableSet.smul", "MeasureTheory.NullMeasurableSet.toMeasurable_ae_eq", "MeasureTheory.NullMeasurableSet.union", "MeasureTheory.NullMeasurableSet.union_null", "MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodory", "MeasureTheory.OuterMeasure.IsMetric.finset_iUnion_of_pairwise_separated", "MeasureTheory.OuterMeasure.add_apply", "MeasureTheory.OuterMeasure.biInf_apply", "MeasureTheory.OuterMeasure.biInf_apply'", "MeasureTheory.OuterMeasure.biUnion_null_iff", "MeasureTheory.OuterMeasure.boundedBy_caratheodory", "MeasureTheory.OuterMeasure.boundedBy_eq", "MeasureTheory.OuterMeasure.boundedBy_eq_ofFunction", "MeasureTheory.OuterMeasure.boundedBy_eq_self", "MeasureTheory.OuterMeasure.boundedBy_le", "MeasureTheory.OuterMeasure.boundedBy_top", "MeasureTheory.OuterMeasure.boundedBy_union_of_top_of_nonempty_inter", "MeasureTheory.OuterMeasure.coe_add", "MeasureTheory.OuterMeasure.coe_iSup", "MeasureTheory.OuterMeasure.coe_mkMetric", "MeasureTheory.OuterMeasure.coe_smul", "MeasureTheory.OuterMeasure.coe_zero", "MeasureTheory.OuterMeasure.comap_apply", "MeasureTheory.OuterMeasure.comap_boundedBy", "MeasureTheory.OuterMeasure.comap_iInf", "MeasureTheory.OuterMeasure.comap_iSup", "MeasureTheory.OuterMeasure.comap_map", "MeasureTheory.OuterMeasure.comap_mono", "MeasureTheory.OuterMeasure.comap_ofFunction", "MeasureTheory.OuterMeasure.comap_top", "MeasureTheory.OuterMeasure.diff_null", "MeasureTheory.OuterMeasure.dirac_apply", "MeasureTheory.OuterMeasure.dirac_caratheodory", "MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trim", "MeasureTheory.OuterMeasure.exists_measurable_superset_forall_eq_trim", "MeasureTheory.OuterMeasure.exists_measurable_superset_of_trim_eq_zero", "MeasureTheory.OuterMeasure.exists_mem_forall_mem_nhds_within_pos", "MeasureTheory.OuterMeasure.ext", "MeasureTheory.OuterMeasure.f_iUnion", "MeasureTheory.OuterMeasure.iInf_apply", "MeasureTheory.OuterMeasure.iInf_apply'", "MeasureTheory.OuterMeasure.iSup_apply", "MeasureTheory.OuterMeasure.iUnion", "MeasureTheory.OuterMeasure.iUnion_eq_of_caratheodory", "MeasureTheory.OuterMeasure.iUnion_nat_of_monotone_of_tsum_ne_top", "MeasureTheory.OuterMeasure.iUnion_null_iff'", "MeasureTheory.OuterMeasure.iUnion_of_tendsto_zero", "MeasureTheory.OuterMeasure.isCaratheodory_compl", "MeasureTheory.OuterMeasure.isCaratheodory_compl_iff", "MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt", "MeasureTheory.OuterMeasure.isCaratheodory_iUnion_nat", "MeasureTheory.OuterMeasure.isCaratheodory_iff", "MeasureTheory.OuterMeasure.isCaratheodory_iff_le'", "MeasureTheory.OuterMeasure.isCaratheodory_inter", "MeasureTheory.OuterMeasure.isCaratheodory_sum", "MeasureTheory.OuterMeasure.isCaratheodory_union", "MeasureTheory.OuterMeasure.isometryEquiv_comap_mkMetric", "MeasureTheory.OuterMeasure.isometryEquiv_map_mkMetric", "MeasureTheory.OuterMeasure.isometry_comap_mkMetric", "MeasureTheory.OuterMeasure.isometry_map_mkMetric", "MeasureTheory.OuterMeasure.le_add_caratheodory", "MeasureTheory.OuterMeasure.le_boundedBy", "MeasureTheory.OuterMeasure.le_boundedBy'", "MeasureTheory.OuterMeasure.le_comap_map", "MeasureTheory.OuterMeasure.le_inter_add_diff", "MeasureTheory.OuterMeasure.le_mkMetric", "MeasureTheory.OuterMeasure.le_ofFunction", "MeasureTheory.OuterMeasure.le_pi", "MeasureTheory.OuterMeasure.le_smul_caratheodory", "MeasureTheory.OuterMeasure.le_sum_caratheodory", "MeasureTheory.OuterMeasure.le_trim", "MeasureTheory.OuterMeasure.le_trim_iff", "MeasureTheory.OuterMeasure.map_apply", "MeasureTheory.OuterMeasure.map_biInf_comap", "MeasureTheory.OuterMeasure.map_comap", "MeasureTheory.OuterMeasure.map_comap_le", "MeasureTheory.OuterMeasure.map_comap_of_surjective", "MeasureTheory.OuterMeasure.map_iInf", "MeasureTheory.OuterMeasure.map_iInf_comap", "MeasureTheory.OuterMeasure.map_iInf_le", "MeasureTheory.OuterMeasure.map_id", "MeasureTheory.OuterMeasure.map_le_restrict_range", "MeasureTheory.OuterMeasure.map_map", "MeasureTheory.OuterMeasure.map_mono", "MeasureTheory.OuterMeasure.map_ofFunction", "MeasureTheory.OuterMeasure.map_ofFunction_le", "MeasureTheory.OuterMeasure.map_sup", "MeasureTheory.OuterMeasure.map_top", "MeasureTheory.OuterMeasure.map_top_of_surjective", "MeasureTheory.OuterMeasure.measureOf_eq_coe", "MeasureTheory.OuterMeasure.measure_inter_union", "MeasureTheory.OuterMeasure.mkMetric'.eq_iSup_nat", "MeasureTheory.OuterMeasure.mkMetric'.le_pre", "MeasureTheory.OuterMeasure.mkMetric'.mono_pre", "MeasureTheory.OuterMeasure.mkMetric'.mono_pre_nat", "MeasureTheory.OuterMeasure.mkMetric'.tendsto_pre", "MeasureTheory.OuterMeasure.mkMetric'.tendsto_pre_nat", "MeasureTheory.OuterMeasure.mkMetric'.trim_pre", "MeasureTheory.OuterMeasure.mkMetric'_isMetric", "MeasureTheory.OuterMeasure.mkMetric_mono", "MeasureTheory.OuterMeasure.mkMetric_mono_smul", "MeasureTheory.OuterMeasure.mkMetric_nnreal_smul", "MeasureTheory.OuterMeasure.mkMetric_top", "MeasureTheory.OuterMeasure.mono'", "MeasureTheory.OuterMeasure.mono''", "MeasureTheory.OuterMeasure.mono_null", "MeasureTheory.OuterMeasure.ofFunction_apply", "MeasureTheory.OuterMeasure.ofFunction_caratheodory", "MeasureTheory.OuterMeasure.ofFunction_eq", "MeasureTheory.OuterMeasure.ofFunction_le", "MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_inter", "MeasureTheory.OuterMeasure.pi_pi_le", "MeasureTheory.OuterMeasure.restrict_apply", "MeasureTheory.OuterMeasure.restrict_biInf", "MeasureTheory.OuterMeasure.restrict_iInf", "MeasureTheory.OuterMeasure.restrict_iInf_restrict", "MeasureTheory.OuterMeasure.restrict_iSup", "MeasureTheory.OuterMeasure.restrict_mono", "MeasureTheory.OuterMeasure.restrict_ofFunction", "MeasureTheory.OuterMeasure.restrict_sInf_eq_sInf_restrict", "MeasureTheory.OuterMeasure.restrict_trim", "MeasureTheory.OuterMeasure.restrict_univ", "MeasureTheory.OuterMeasure.sInfGen_def", "MeasureTheory.OuterMeasure.sInf_apply", "MeasureTheory.OuterMeasure.sInf_apply'", "MeasureTheory.OuterMeasure.sInf_eq_boundedBy_sInfGen", "MeasureTheory.OuterMeasure.sSup_apply", "MeasureTheory.OuterMeasure.sUnion_null_iff", "MeasureTheory.OuterMeasure.smul_boundedBy", "MeasureTheory.OuterMeasure.smul_dirac_apply", "MeasureTheory.OuterMeasure.smul_iSup", "MeasureTheory.OuterMeasure.smul_ofFunction", "MeasureTheory.OuterMeasure.sum_apply", "MeasureTheory.OuterMeasure.sup_apply", "MeasureTheory.OuterMeasure.toMeasure_top", "MeasureTheory.OuterMeasure.toMeasure_zero", "MeasureTheory.OuterMeasure.top_caratheodory", "MeasureTheory.OuterMeasure.trim_add", "MeasureTheory.OuterMeasure.trim_anti_measurableSpace", "MeasureTheory.OuterMeasure.trim_binop", "MeasureTheory.OuterMeasure.trim_congr", "MeasureTheory.OuterMeasure.trim_eq", "MeasureTheory.OuterMeasure.trim_eq_iInf", "MeasureTheory.OuterMeasure.trim_eq_iInf'", "MeasureTheory.OuterMeasure.trim_eq_trim_iff", "MeasureTheory.OuterMeasure.trim_iSup", "MeasureTheory.OuterMeasure.trim_le_trim_iff", "MeasureTheory.OuterMeasure.trim_mkMetric", "MeasureTheory.OuterMeasure.trim_sum_ge", "MeasureTheory.OuterMeasure.trim_sup", "MeasureTheory.OuterMeasure.trim_top", "MeasureTheory.OuterMeasure.trim_trim", "MeasureTheory.OuterMeasure.union", "MeasureTheory.OuterMeasure.union_null", "MeasureTheory.OuterMeasure.univ_eq_zero_iff", "MeasureTheory.Predictable.adapted", "MeasureTheory.ProbabilityMeasure.apply_le_one", "MeasureTheory.ProbabilityMeasure.apply_mono", "MeasureTheory.ProbabilityMeasure.coeFn_comp_toFiniteMeasure_eq_coeFn", "MeasureTheory.ProbabilityMeasure.coeFn_mk", "MeasureTheory.ProbabilityMeasure.coeFn_toFiniteMeasure", "MeasureTheory.ProbabilityMeasure.coeFn_univ", "MeasureTheory.ProbabilityMeasure.coeFn_univ_ne_zero", "MeasureTheory.ProbabilityMeasure.coe_mk", "MeasureTheory.ProbabilityMeasure.coe_toWeakDualBCNN", "MeasureTheory.ProbabilityMeasure.continuous_map", "MeasureTheory.ProbabilityMeasure.continuous_toLevyProkhorov", "MeasureTheory.ProbabilityMeasure.ennreal_coeFn_eq_coeFn_toMeasure", "MeasureTheory.ProbabilityMeasure.eq_of_forall_apply_eq", "MeasureTheory.ProbabilityMeasure.eq_of_forall_toMeasure_apply_eq", "MeasureTheory.ProbabilityMeasure.le_liminf_measure_open_of_tendsto", "MeasureTheory.ProbabilityMeasure.limsup_measure_closed_le_of_tendsto", "MeasureTheory.ProbabilityMeasure.map_apply_of_aemeasurable", "MeasureTheory.ProbabilityMeasure.map_fst_prod", "MeasureTheory.ProbabilityMeasure.map_prod_map", "MeasureTheory.ProbabilityMeasure.map_snd_prod", "MeasureTheory.ProbabilityMeasure.mass_toFiniteMeasure", "MeasureTheory.ProbabilityMeasure.nonempty", "MeasureTheory.ProbabilityMeasure.prod_apply", "MeasureTheory.ProbabilityMeasure.prod_prod", "MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_integral_tendsto", "MeasureTheory.ProbabilityMeasure.tendsto_iff_forall_lintegral_tendsto", "MeasureTheory.ProbabilityMeasure.tendsto_map_of_tendsto_of_continuous", "MeasureTheory.ProbabilityMeasure.tendsto_measure_of_null_frontier_of_tendsto", "MeasureTheory.ProbabilityMeasure.tendsto_nhds_iff_toFiniteMeasure_tendsto_nhds", "MeasureTheory.ProbabilityMeasure.testAgainstNN_lipschitz", "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_apply", "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_apply_eq_apply", "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_embedding", "MeasureTheory.ProbabilityMeasure.toFiniteMeasure_nonzero", "MeasureTheory.ProbabilityMeasure.toMeasure_add_pos_gt_mem_nhds", "MeasureTheory.ProbabilityMeasure.toMeasure_comp_toFiniteMeasure_eq_toMeasure", "MeasureTheory.ProbabilityMeasure.toMeasure_injective", "MeasureTheory.ProbabilityMeasure.toMeasure_map", "MeasureTheory.ProbabilityMeasure.toMeasure_prod", "MeasureTheory.ProbabilityMeasure.toWeakDualBCNN_continuous", "MeasureTheory.ProbabilityMeasure.val_eq_to_measure", "MeasureTheory.ProgMeasurable.adapted", "MeasureTheory.ProgMeasurable.adapted_stoppedProcess", "MeasureTheory.ProgMeasurable.comp", "MeasureTheory.ProgMeasurable.div", "MeasureTheory.ProgMeasurable.finset_prod", "MeasureTheory.ProgMeasurable.finset_prod'", "MeasureTheory.ProgMeasurable.mul", "MeasureTheory.ProgMeasurable.stoppedProcess", "MeasureTheory.QuasiMeasurePreserving.prod_of_left", "MeasureTheory.QuasiMeasurePreserving.prod_of_right", "MeasureTheory.QuotientMeasureEqMeasurePreimage.covolume_ne_top", "MeasureTheory.QuotientMeasureEqMeasurePreimage.haarMeasure_quotient", "MeasureTheory.QuotientMeasureEqMeasurePreimage.isFiniteMeasure_quotient", "MeasureTheory.QuotientMeasureEqMeasurePreimage.mulInvariantMeasure_quotient", "MeasureTheory.QuotientMeasureEqMeasurePreimage.sigmaFiniteQuotient", "MeasureTheory.QuotientMeasureEqMeasurePreimage.smulInvariantMeasure_quotient", "MeasureTheory.SeparableSpace.exists_measurable_partition_diam_le", "MeasureTheory.SigmaFinite.of_map", "MeasureTheory.SigmaFinite.out", "MeasureTheory.SigmaFinite.withDensity", "MeasureTheory.SigmaFinite.withDensity_ofReal", "MeasureTheory.SigmaFinite.withDensity_of_ne_top", "MeasureTheory.SigmaFinite.withDensity_of_ne_top'", "MeasureTheory.SignedMeasure.absolutelyContinuous_ennreal_iff", "MeasureTheory.SignedMeasure.bddBelow_measureOfNegatives", "MeasureTheory.SignedMeasure.eq_rnDeriv", "MeasureTheory.SignedMeasure.eq_singularPart", "MeasureTheory.SignedMeasure.eq_singularPart'", "MeasureTheory.SignedMeasure.exists_compl_positive_negative", "MeasureTheory.SignedMeasure.exists_subset_restrict_nonpos", "MeasureTheory.SignedMeasure.exists_subset_restrict_nonpos'", "MeasureTheory.SignedMeasure.findExistsOneDivLT_min", "MeasureTheory.SignedMeasure.findExistsOneDivLT_spec", "MeasureTheory.SignedMeasure.haveLebesgueDecomposition_mk", "MeasureTheory.SignedMeasure.haveLebesgueDecomposition_mk'", "MeasureTheory.SignedMeasure.im_toComplexMeasure", "MeasureTheory.SignedMeasure.integrable_rnDeriv", "MeasureTheory.SignedMeasure.jordanDecomposition_add_withDensity_mutuallySingular", "MeasureTheory.SignedMeasure.measurable_rnDeriv", "MeasureTheory.SignedMeasure.measure_of_restrictNonposSeq", "MeasureTheory.SignedMeasure.mutuallySingular_ennreal_iff", "MeasureTheory.SignedMeasure.mutuallySingular_iff", "MeasureTheory.SignedMeasure.mutuallySingular_singularPart", "MeasureTheory.SignedMeasure.null_of_totalVariation_zero", "MeasureTheory.SignedMeasure.of_diff_eq_zero_of_symmDiff_eq_zero_negative", "MeasureTheory.SignedMeasure.of_diff_eq_zero_of_symmDiff_eq_zero_positive", "MeasureTheory.SignedMeasure.of_inter_eq_of_symmDiff_eq_zero_negative", "MeasureTheory.SignedMeasure.of_inter_eq_of_symmDiff_eq_zero_positive", "MeasureTheory.SignedMeasure.of_symmDiff_compl_positive_negative", "MeasureTheory.SignedMeasure.re_toComplexMeasure", "MeasureTheory.SignedMeasure.restrictNonposSeq_disjoint", "MeasureTheory.SignedMeasure.restrictNonposSeq_disjoint'", "MeasureTheory.SignedMeasure.restrictNonposSeq_succ", "MeasureTheory.SignedMeasure.rnDeriv_add", "MeasureTheory.SignedMeasure.rnDeriv_def", "MeasureTheory.SignedMeasure.rnDeriv_neg", "MeasureTheory.SignedMeasure.rnDeriv_smul", "MeasureTheory.SignedMeasure.rnDeriv_sub", "MeasureTheory.SignedMeasure.singularPart_add", "MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eq", "MeasureTheory.SignedMeasure.singularPart_mutuallySingular", "MeasureTheory.SignedMeasure.singularPart_neg", "MeasureTheory.SignedMeasure.singularPart_smul", "MeasureTheory.SignedMeasure.singularPart_smul_nnreal", "MeasureTheory.SignedMeasure.singularPart_sub", "MeasureTheory.SignedMeasure.singularPart_totalVariation", "MeasureTheory.SignedMeasure.singularPart_zero", "MeasureTheory.SignedMeasure.someExistsOneDivLT_measurableSet", "MeasureTheory.SignedMeasure.someExistsOneDivLT_spec", "MeasureTheory.SignedMeasure.someExistsOneDivLT_subset", "MeasureTheory.SignedMeasure.subset_negative_null_set", "MeasureTheory.SignedMeasure.subset_positive_null_set", "MeasureTheory.SignedMeasure.toComplexMeasure_apply", "MeasureTheory.SignedMeasure.toJordanDecomposition_eq", "MeasureTheory.SignedMeasure.toJordanDecomposition_eq_of_eq_add_withDensity", "MeasureTheory.SignedMeasure.toJordanDecomposition_neg", "MeasureTheory.SignedMeasure.toJordanDecomposition_smul", "MeasureTheory.SignedMeasure.toJordanDecomposition_smul_real", "MeasureTheory.SignedMeasure.toJordanDecomposition_smul_real_nonneg", "MeasureTheory.SignedMeasure.toJordanDecomposition_spec", "MeasureTheory.SignedMeasure.toJordanDecomposition_zero", "MeasureTheory.SignedMeasure.toMeasureOfLEZero_apply", "MeasureTheory.SignedMeasure.toMeasureOfLEZero_toSignedMeasure", "MeasureTheory.SignedMeasure.toMeasureOfZeroLE_apply", "MeasureTheory.SignedMeasure.toMeasureOfZeroLE_toSignedMeasure", "MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecomposition", "MeasureTheory.SignedMeasure.totalVariation_absolutelyContinuous_iff", "MeasureTheory.SignedMeasure.totalVariation_mutuallySingular_iff", "MeasureTheory.SignedMeasure.totalVariation_neg", "MeasureTheory.SignedMeasure.totalVariation_zero", "MeasureTheory.SignedMeasure.withDensity\u1d65_rnDeriv_eq", "MeasureTheory.SignedMeasure.zero_mem_measureOfNegatives", "MeasureTheory.SimpleFunc.FinMeasSupp.add", "MeasureTheory.SimpleFunc.FinMeasSupp.integrable", "MeasureTheory.SimpleFunc.FinMeasSupp.lintegral_lt_top", "MeasureTheory.SimpleFunc.FinMeasSupp.map", "MeasureTheory.SimpleFunc.FinMeasSupp.map_iff", "MeasureTheory.SimpleFunc.FinMeasSupp.map\u2082", "MeasureTheory.SimpleFunc.FinMeasSupp.meas_preimage_singleton_ne_zero", "MeasureTheory.SimpleFunc.FinMeasSupp.mul", "MeasureTheory.SimpleFunc.FinMeasSupp.of_lintegral_ne_top", "MeasureTheory.SimpleFunc.FinMeasSupp.pair", "MeasureTheory.SimpleFunc.add_lintegral", "MeasureTheory.SimpleFunc.aemeasurable", "MeasureTheory.SimpleFunc.aestronglyMeasurable", "MeasureTheory.SimpleFunc.approxOn_comp", "MeasureTheory.SimpleFunc.approxOn_mem", "MeasureTheory.SimpleFunc.approx_apply", "MeasureTheory.SimpleFunc.approx_comp", "MeasureTheory.SimpleFunc.bind_const", "MeasureTheory.SimpleFunc.box_integral_eq_integral", "MeasureTheory.SimpleFunc.coe_comp", "MeasureTheory.SimpleFunc.coe_const", "MeasureTheory.SimpleFunc.coe_div", "MeasureTheory.SimpleFunc.coe_inf", "MeasureTheory.SimpleFunc.coe_injective", "MeasureTheory.SimpleFunc.coe_le", "MeasureTheory.SimpleFunc.coe_map", "MeasureTheory.SimpleFunc.coe_mul", "MeasureTheory.SimpleFunc.coe_piecewise", "MeasureTheory.SimpleFunc.coe_pow", "MeasureTheory.SimpleFunc.coe_range", "MeasureTheory.SimpleFunc.coe_restrict", "MeasureTheory.SimpleFunc.coe_zpow", "MeasureTheory.SimpleFunc.const_lintegral", "MeasureTheory.SimpleFunc.const_lintegral_restrict", "MeasureTheory.SimpleFunc.const_mul_eq_map", "MeasureTheory.SimpleFunc.const_mul_lintegral", "MeasureTheory.SimpleFunc.const_one", "MeasureTheory.SimpleFunc.eapprox_lt_top", "MeasureTheory.SimpleFunc.edist_approxOn_le", "MeasureTheory.SimpleFunc.edist_approxOn_mono", "MeasureTheory.SimpleFunc.edist_approxOn_y0_le", "MeasureTheory.SimpleFunc.edist_nearestPt_le", "MeasureTheory.SimpleFunc.ennrealRatEmbed_encode", "MeasureTheory.SimpleFunc.eq_zero_of_mem_range_zero", "MeasureTheory.SimpleFunc.exists_forall_norm_le", "MeasureTheory.SimpleFunc.exists_le_lowerSemicontinuous_lintegral_ge", "MeasureTheory.SimpleFunc.exists_lt_lintegral_simpleFunc_of_lt_lintegral", "MeasureTheory.SimpleFunc.exists_range_iff", "MeasureTheory.SimpleFunc.exists_upperSemicontinuous_le_lintegral_le", "MeasureTheory.SimpleFunc.ext", "MeasureTheory.SimpleFunc.extend_comp_eq", "MeasureTheory.SimpleFunc.extend_comp_eq'", "MeasureTheory.SimpleFunc.finMeasSupp_iff", "MeasureTheory.SimpleFunc.finMeasSupp_iff_support", "MeasureTheory.SimpleFunc.finite_range", "MeasureTheory.SimpleFunc.finset_sup_apply", "MeasureTheory.SimpleFunc.forall_mem_range", "MeasureTheory.SimpleFunc.hasBoxIntegral", "MeasureTheory.SimpleFunc.iSup_approx_apply", "MeasureTheory.SimpleFunc.iSup_eapprox_apply", "MeasureTheory.SimpleFunc.induction", "MeasureTheory.SimpleFunc.inf_apply", "MeasureTheory.SimpleFunc.integrable_approxOn", "MeasureTheory.SimpleFunc.integrable_iff", "MeasureTheory.SimpleFunc.integrable_of_isFiniteMeasure", "MeasureTheory.SimpleFunc.integral_add", "MeasureTheory.SimpleFunc.integral_add_measure", "MeasureTheory.SimpleFunc.integral_congr", "MeasureTheory.SimpleFunc.integral_const", "MeasureTheory.SimpleFunc.integral_def", "MeasureTheory.SimpleFunc.integral_eq", "MeasureTheory.SimpleFunc.integral_eq_integral", "MeasureTheory.SimpleFunc.integral_eq_lintegral", "MeasureTheory.SimpleFunc.integral_eq_lintegral'", "MeasureTheory.SimpleFunc.integral_eq_sum", "MeasureTheory.SimpleFunc.integral_eq_sum_filter", "MeasureTheory.SimpleFunc.integral_eq_sum_of_subset", "MeasureTheory.SimpleFunc.integral_neg", "MeasureTheory.SimpleFunc.integral_piecewise_zero", "MeasureTheory.SimpleFunc.integral_smul", "MeasureTheory.SimpleFunc.integral_sub", "MeasureTheory.SimpleFunc.inv_apply", "MeasureTheory.SimpleFunc.le_sup_lintegral", "MeasureTheory.SimpleFunc.lintegral_add", "MeasureTheory.SimpleFunc.lintegral_congr", "MeasureTheory.SimpleFunc.lintegral_eq_lintegral", "MeasureTheory.SimpleFunc.lintegral_eq_of_measure_preimage", "MeasureTheory.SimpleFunc.lintegral_eq_of_subset", "MeasureTheory.SimpleFunc.lintegral_eq_of_subset'", "MeasureTheory.SimpleFunc.lintegral_map", "MeasureTheory.SimpleFunc.lintegral_map'", "MeasureTheory.SimpleFunc.lintegral_mono", "MeasureTheory.SimpleFunc.lintegral_restrict", "MeasureTheory.SimpleFunc.lintegral_smul", "MeasureTheory.SimpleFunc.lintegral_sum", "MeasureTheory.SimpleFunc.lintegral_zero", "MeasureTheory.SimpleFunc.map_apply", "MeasureTheory.SimpleFunc.map_coe_ennreal_restrict", "MeasureTheory.SimpleFunc.map_coe_nnreal_restrict", "MeasureTheory.SimpleFunc.map_const", "MeasureTheory.SimpleFunc.map_integral", "MeasureTheory.SimpleFunc.map_lintegral", "MeasureTheory.SimpleFunc.map_map", "MeasureTheory.SimpleFunc.map_mul", "MeasureTheory.SimpleFunc.map_preimage", "MeasureTheory.SimpleFunc.map_preimage_singleton", "MeasureTheory.SimpleFunc.map_restrict_of_zero", "MeasureTheory.SimpleFunc.map_setToSimpleFunc", "MeasureTheory.SimpleFunc.measurable", "MeasureTheory.SimpleFunc.measurableSet_cut", "MeasureTheory.SimpleFunc.measurableSet_fiber", "MeasureTheory.SimpleFunc.measurableSet_preimage", "MeasureTheory.SimpleFunc.measurableSet_support", "MeasureTheory.SimpleFunc.measurable_bind", "MeasureTheory.SimpleFunc.measure_lt_top_of_mem\u2112p_indicator", "MeasureTheory.SimpleFunc.measure_preimage_lt_top_of_integrable", "MeasureTheory.SimpleFunc.measure_preimage_lt_top_of_mem\u2112p", "MeasureTheory.SimpleFunc.measure_support_lt_top", "MeasureTheory.SimpleFunc.measure_support_lt_top_of_mem\u2112p", "MeasureTheory.SimpleFunc.mem_image_of_mem_range_restrict", "MeasureTheory.SimpleFunc.mem_range", "MeasureTheory.SimpleFunc.mem_range_of_measure_ne_zero", "MeasureTheory.SimpleFunc.mem_range_self", "MeasureTheory.SimpleFunc.mem_restrict_range", "MeasureTheory.SimpleFunc.mem\u2112p_approxOn", "MeasureTheory.SimpleFunc.mem\u2112p_approxOn_range", "MeasureTheory.SimpleFunc.mem\u2112p_iff", "MeasureTheory.SimpleFunc.mem\u2112p_iff_integrable", "MeasureTheory.SimpleFunc.mem\u2112p_of_finite_measure_preimage", "MeasureTheory.SimpleFunc.mem\u2112p_top", "MeasureTheory.SimpleFunc.monotone_approx", "MeasureTheory.SimpleFunc.monotone_eapprox", "MeasureTheory.SimpleFunc.mul_eq_map\u2082", "MeasureTheory.SimpleFunc.nearestPtInd_le", "MeasureTheory.SimpleFunc.nearestPtInd_succ", "MeasureTheory.SimpleFunc.nearestPtInd_zero", "MeasureTheory.SimpleFunc.nearestPt_zero", "MeasureTheory.SimpleFunc.negPart_map_norm", "MeasureTheory.SimpleFunc.nnnorm_approxOn_le", "MeasureTheory.SimpleFunc.norm_approxOn_y\u2080_le", "MeasureTheory.SimpleFunc.norm_approxOn_zero_le", "MeasureTheory.SimpleFunc.norm_integral_le_integral_norm", "MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_integral_norm", "MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_mul_norm", "MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_mul_norm_of_integrable", "MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_opNorm", "MeasureTheory.SimpleFunc.pair_preimage", "MeasureTheory.SimpleFunc.piecewise_apply", "MeasureTheory.SimpleFunc.piecewise_compl", "MeasureTheory.SimpleFunc.piecewise_same", "MeasureTheory.SimpleFunc.piecewise_univ", "MeasureTheory.SimpleFunc.posPart_map_norm", "MeasureTheory.SimpleFunc.posPart_sub_negPart", "MeasureTheory.SimpleFunc.pow_apply", "MeasureTheory.SimpleFunc.preimage_eq_empty_iff", "MeasureTheory.SimpleFunc.range_comp_subset_range", "MeasureTheory.SimpleFunc.range_const", "MeasureTheory.SimpleFunc.range_const_subset", "MeasureTheory.SimpleFunc.range_eq_empty_of_isEmpty", "MeasureTheory.SimpleFunc.range_indicator", "MeasureTheory.SimpleFunc.range_map", "MeasureTheory.SimpleFunc.range_one", "MeasureTheory.SimpleFunc.restrict_apply", "MeasureTheory.SimpleFunc.restrict_const_lintegral", "MeasureTheory.SimpleFunc.restrict_empty", "MeasureTheory.SimpleFunc.restrict_lintegral", "MeasureTheory.SimpleFunc.restrict_lintegral_eq_lintegral_restrict", "MeasureTheory.SimpleFunc.restrict_mono", "MeasureTheory.SimpleFunc.restrict_preimage_singleton", "MeasureTheory.SimpleFunc.restrict_univ", "MeasureTheory.SimpleFunc.setToSimpleFunc_add", "MeasureTheory.SimpleFunc.setToSimpleFunc_add_left", "MeasureTheory.SimpleFunc.setToSimpleFunc_add_left'", "MeasureTheory.SimpleFunc.setToSimpleFunc_congr", "MeasureTheory.SimpleFunc.setToSimpleFunc_congr'", "MeasureTheory.SimpleFunc.setToSimpleFunc_congr_left", "MeasureTheory.SimpleFunc.setToSimpleFunc_const", "MeasureTheory.SimpleFunc.setToSimpleFunc_const'", "MeasureTheory.SimpleFunc.setToSimpleFunc_eq_sum_filter", "MeasureTheory.SimpleFunc.setToSimpleFunc_indicator", "MeasureTheory.SimpleFunc.setToSimpleFunc_mono", "MeasureTheory.SimpleFunc.setToSimpleFunc_mono_left", "MeasureTheory.SimpleFunc.setToSimpleFunc_mono_left'", "MeasureTheory.SimpleFunc.setToSimpleFunc_neg", "MeasureTheory.SimpleFunc.setToSimpleFunc_nonneg", "MeasureTheory.SimpleFunc.setToSimpleFunc_nonneg'", "MeasureTheory.SimpleFunc.setToSimpleFunc_smul", "MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left", "MeasureTheory.SimpleFunc.setToSimpleFunc_smul_left'", "MeasureTheory.SimpleFunc.setToSimpleFunc_smul_real", "MeasureTheory.SimpleFunc.setToSimpleFunc_sub", "MeasureTheory.SimpleFunc.setToSimpleFunc_zero", "MeasureTheory.SimpleFunc.setToSimpleFunc_zero'", "MeasureTheory.SimpleFunc.setToSimpleFunc_zero_apply", "MeasureTheory.SimpleFunc.simpleFunc_bot", "MeasureTheory.SimpleFunc.simpleFunc_bot'", "MeasureTheory.SimpleFunc.smul_eq_map", "MeasureTheory.SimpleFunc.snorm'_eq", "MeasureTheory.SimpleFunc.stronglyMeasurable", "MeasureTheory.SimpleFunc.sum_eapproxDiff", "MeasureTheory.SimpleFunc.sum_range_measure_preimage_singleton", "MeasureTheory.SimpleFunc.sup_eq_map\u2082", "MeasureTheory.SimpleFunc.support_eq", "MeasureTheory.SimpleFunc.support_indicator", "MeasureTheory.SimpleFunc.tendsto_approxOn", "MeasureTheory.SimpleFunc.tendsto_approxOn_L1_nnnorm", "MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_snorm", "MeasureTheory.SimpleFunc.tendsto_approxOn_range_L1_nnnorm", "MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp", "MeasureTheory.SimpleFunc.tendsto_approxOn_range_Lp_snorm", "MeasureTheory.SimpleFunc.tendsto_nearestPt", "MeasureTheory.SimpleFunc.tsum_eapproxDiff", "MeasureTheory.SimpleFunc.zero_lintegral", "MeasureTheory.SimpleFunc.zpow_apply", "MeasureTheory.StronglyMeasurable.aeStronglyMeasurable'", "MeasureTheory.StronglyMeasurable.aemeasurable", "MeasureTheory.StronglyMeasurable.aestronglyMeasurable", "MeasureTheory.StronglyMeasurable.comp_measurable", "MeasureTheory.StronglyMeasurable.const_smul'", "MeasureTheory.StronglyMeasurable.div", "MeasureTheory.StronglyMeasurable.ennnorm", "MeasureTheory.StronglyMeasurable.exists_spanning_measurableSet_norm_le", "MeasureTheory.StronglyMeasurable.finStronglyMeasurable", "MeasureTheory.StronglyMeasurable.finStronglyMeasurable_of_set_sigmaFinite", "MeasureTheory.StronglyMeasurable.inf", "MeasureTheory.StronglyMeasurable.inner", "MeasureTheory.StronglyMeasurable.integral_kernel_prod_left'", "MeasureTheory.StronglyMeasurable.integral_kernel_prod_left''", "MeasureTheory.StronglyMeasurable.integral_kernel_prod_right", "MeasureTheory.StronglyMeasurable.integral_kernel_prod_right'", "MeasureTheory.StronglyMeasurable.integral_kernel_prod_right''", "MeasureTheory.StronglyMeasurable.integral_prod_left", "MeasureTheory.StronglyMeasurable.integral_prod_left'", "MeasureTheory.StronglyMeasurable.integral_prod_right", "MeasureTheory.StronglyMeasurable.inv", "MeasureTheory.StronglyMeasurable.isSeparable_range", "MeasureTheory.StronglyMeasurable.ite", "MeasureTheory.StronglyMeasurable.measurable", "MeasureTheory.StronglyMeasurable.measurableSet_eq_fun", "MeasureTheory.StronglyMeasurable.measurableSet_le", "MeasureTheory.StronglyMeasurable.measurableSet_lt", "MeasureTheory.StronglyMeasurable.measurableSet_mulSupport", "MeasureTheory.StronglyMeasurable.mono", "MeasureTheory.StronglyMeasurable.mul", "MeasureTheory.StronglyMeasurable.mul_iff_right", "MeasureTheory.StronglyMeasurable.nnnorm", "MeasureTheory.StronglyMeasurable.norm_approxBounded_le", "MeasureTheory.StronglyMeasurable.of_finite", "MeasureTheory.StronglyMeasurable.of_uncurry_left", "MeasureTheory.StronglyMeasurable.of_uncurry_right", "MeasureTheory.StronglyMeasurable.piecewise", "MeasureTheory.StronglyMeasurable.pow", "MeasureTheory.StronglyMeasurable.prod_mk", "MeasureTheory.StronglyMeasurable.smul", "MeasureTheory.StronglyMeasurable.smul_const", "MeasureTheory.StronglyMeasurable.stronglyMeasurableAtFilter", "MeasureTheory.StronglyMeasurable.stronglyMeasurable_in_set", "MeasureTheory.StronglyMeasurable.stronglyMeasurable_of_measurableSpace_le_on", "MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_le", "MeasureTheory.Submartingale.add", "MeasureTheory.Submartingale.ae_le_condexp", "MeasureTheory.Submartingale.ae_tendsto_limitProcess", "MeasureTheory.Submartingale.ae_tendsto_limitProcess_of_uniformIntegrable", "MeasureTheory.Submartingale.bddAbove_iff_exists_tendsto", "MeasureTheory.Submartingale.condexp_sub_nonneg", "MeasureTheory.Submartingale.exists_ae_tendsto_of_bdd", "MeasureTheory.Submartingale.exists_ae_trim_tendsto_of_bdd", "MeasureTheory.Submartingale.exists_tendsto_of_abs_bddAbove_aux", "MeasureTheory.Submartingale.expected_stoppedValue_mono", "MeasureTheory.Submartingale.mem\u2112p_limitProcess", "MeasureTheory.Submartingale.mul_integral_upcrossingsBefore_le_integral_pos_part", "MeasureTheory.Submartingale.mul_lintegral_upcrossings_le_lintegral_pos_part", "MeasureTheory.Submartingale.neg", "MeasureTheory.Submartingale.pos", "MeasureTheory.Submartingale.setIntegral_le", "MeasureTheory.Submartingale.smul_nonneg", "MeasureTheory.Submartingale.smul_nonpos", "MeasureTheory.Submartingale.stoppedProcess", "MeasureTheory.Submartingale.stoppedValue_leastGE", "MeasureTheory.Submartingale.stoppedValue_leastGE_snorm_le", "MeasureTheory.Submartingale.stoppedValue_leastGE_snorm_le'", "MeasureTheory.Submartingale.sub_martingale", "MeasureTheory.Submartingale.sub_supermartingale", "MeasureTheory.Submartingale.sum_mul_sub", "MeasureTheory.Submartingale.sum_mul_sub'", "MeasureTheory.Submartingale.sum_mul_upcrossingStrat_le", "MeasureTheory.Submartingale.sum_sub_upcrossingStrat_mul", "MeasureTheory.Submartingale.sum_upcrossingStrat_mul", "MeasureTheory.Submartingale.sup", "MeasureTheory.Submartingale.tendsto_snorm_one_limitProcess", "MeasureTheory.Submartingale.upcrossings_ae_lt_top", "MeasureTheory.Submartingale.upcrossings_ae_lt_top'", "MeasureTheory.Submartingale.zero_le_of_predictable", "MeasureTheory.Subsingleton.aestronglyMeasurable'", "MeasureTheory.Subsingleton.stronglyMeasurable", "MeasureTheory.Subsingleton.stronglyMeasurable'", "MeasureTheory.Supermartingale.add", "MeasureTheory.Supermartingale.add_martingale", "MeasureTheory.Supermartingale.condexp_ae_le", "MeasureTheory.Supermartingale.integrable", "MeasureTheory.Supermartingale.le_zero_of_predictable", "MeasureTheory.Supermartingale.neg", "MeasureTheory.Supermartingale.setIntegral_le", "MeasureTheory.Supermartingale.smul_nonneg", "MeasureTheory.Supermartingale.smul_nonpos", "MeasureTheory.Supermartingale.stronglyMeasurable", "MeasureTheory.Supermartingale.sub_martingale", "MeasureTheory.Supermartingale.sub_submartingale", "MeasureTheory.TendstoInMeasure.aemeasurable", "MeasureTheory.TendstoInMeasure.congr", "MeasureTheory.TendstoInMeasure.congr'", "MeasureTheory.TendstoInMeasure.congr_right", "MeasureTheory.TendstoInMeasure.exists_seq_tendstoInMeasure_atTop", "MeasureTheory.TendstoInMeasure.exists_seq_tendsto_ae", "MeasureTheory.TendstoInMeasure.exists_seq_tendsto_ae'", "MeasureTheory.UnifIntegrable.add", "MeasureTheory.UnifIntegrable.ae_eq", "MeasureTheory.UnifIntegrable.neg", "MeasureTheory.UnifIntegrable.sub", "MeasureTheory.UniformIntegrable.ae_eq", "MeasureTheory.UniformIntegrable.mem\u2112p", "MeasureTheory.UniformIntegrable.spec", "MeasureTheory.UniformIntegrable.spec'", "MeasureTheory.UniformIntegrable.unifIntegrable", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.add", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.ennrealToMeasure", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.eq", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.map", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.mk", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.neg_left", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.neg_right", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.refl", "MeasureTheory.VectorMeasure.AbsolutelyContinuous.sub", "MeasureTheory.VectorMeasure.MutuallySingular.add_left", "MeasureTheory.VectorMeasure.MutuallySingular.add_right", "MeasureTheory.VectorMeasure.MutuallySingular.mk", "MeasureTheory.VectorMeasure.MutuallySingular.neg_left", "MeasureTheory.VectorMeasure.MutuallySingular.neg_left_iff", "MeasureTheory.VectorMeasure.MutuallySingular.neg_right", "MeasureTheory.VectorMeasure.MutuallySingular.neg_right_iff", "MeasureTheory.VectorMeasure.MutuallySingular.smul_left", "MeasureTheory.VectorMeasure.MutuallySingular.smul_right", "MeasureTheory.VectorMeasure.MutuallySingular.symm", "MeasureTheory.VectorMeasure.MutuallySingular.zero_left", "MeasureTheory.VectorMeasure.add_apply", "MeasureTheory.VectorMeasure.coe_add", "MeasureTheory.VectorMeasure.coe_injective", "MeasureTheory.VectorMeasure.coe_neg", "MeasureTheory.VectorMeasure.coe_sub", "MeasureTheory.VectorMeasure.coe_zero", "MeasureTheory.VectorMeasure.empty", "MeasureTheory.VectorMeasure.ennrealToMeasure_apply", "MeasureTheory.VectorMeasure.ennrealToMeasure_toENNRealVectorMeasure", "MeasureTheory.VectorMeasure.exists_pos_measure_of_not_restrict_le_zero", "MeasureTheory.VectorMeasure.ext", "MeasureTheory.VectorMeasure.ext_iff", "MeasureTheory.VectorMeasure.ext_iff'", "MeasureTheory.VectorMeasure.hasSum_of_disjoint_iUnion", "MeasureTheory.VectorMeasure.le_iff", "MeasureTheory.VectorMeasure.le_iff'", "MeasureTheory.VectorMeasure.le_restrict_empty", "MeasureTheory.VectorMeasure.le_restrict_univ_iff_le", "MeasureTheory.VectorMeasure.m_iUnion", "MeasureTheory.VectorMeasure.mapRange_add", "MeasureTheory.VectorMeasure.mapRange_apply", "MeasureTheory.VectorMeasure.mapRange_id", "MeasureTheory.VectorMeasure.map_add", "MeasureTheory.VectorMeasure.map_apply", "MeasureTheory.VectorMeasure.map_id", "MeasureTheory.VectorMeasure.map_smul", "MeasureTheory.VectorMeasure.map_zero", "MeasureTheory.VectorMeasure.measurable_of_not_restrict_le_zero", "MeasureTheory.VectorMeasure.measurable_of_not_zero_le_restrict", "MeasureTheory.VectorMeasure.neg_le_neg", "MeasureTheory.VectorMeasure.neg_le_neg_iff", "MeasureTheory.VectorMeasure.nonneg_of_zero_le_restrict", "MeasureTheory.VectorMeasure.nonpos_of_restrict_le_zero", "MeasureTheory.VectorMeasure.not_measurable", "MeasureTheory.VectorMeasure.of_add_of_diff", "MeasureTheory.VectorMeasure.of_diff", "MeasureTheory.VectorMeasure.of_diff_of_diff_eq_zero", "MeasureTheory.VectorMeasure.of_disjoint_iUnion", "MeasureTheory.VectorMeasure.of_disjoint_iUnion_nat", "MeasureTheory.VectorMeasure.of_iUnion_nonneg", "MeasureTheory.VectorMeasure.of_nonneg_disjoint_union_eq_zero", "MeasureTheory.VectorMeasure.of_union", "MeasureTheory.VectorMeasure.restrict_add", "MeasureTheory.VectorMeasure.restrict_apply", "MeasureTheory.VectorMeasure.restrict_empty", "MeasureTheory.VectorMeasure.restrict_le_restrict_countable_iUnion", "MeasureTheory.VectorMeasure.restrict_le_restrict_iUnion", "MeasureTheory.VectorMeasure.restrict_le_restrict_iff", "MeasureTheory.VectorMeasure.restrict_le_restrict_of_subset_le", "MeasureTheory.VectorMeasure.restrict_le_restrict_subset", "MeasureTheory.VectorMeasure.restrict_le_restrict_union", "MeasureTheory.VectorMeasure.restrict_le_zero_of_not_measurable", "MeasureTheory.VectorMeasure.restrict_le_zero_subset", "MeasureTheory.VectorMeasure.restrict_not_measurable", "MeasureTheory.VectorMeasure.restrict_smul", "MeasureTheory.VectorMeasure.restrict_trim", "MeasureTheory.VectorMeasure.restrict_univ", "MeasureTheory.VectorMeasure.restrict_zero", "MeasureTheory.VectorMeasure.smul_apply", "MeasureTheory.VectorMeasure.sub_apply", "MeasureTheory.VectorMeasure.subset_le_of_restrict_le_restrict", "MeasureTheory.VectorMeasure.trim_eq_self", "MeasureTheory.VectorMeasure.trim_measurableSet_eq", "MeasureTheory.VectorMeasure.zero_apply", "MeasureTheory.VectorMeasure.zero_le_restrict_subset", "MeasureTheory.VectorMeasure.zero_trim", "MeasureTheory.WithDensity\u1d65Eq.congr_ae", "MeasureTheory.abs_toReal_measure_sub_le_measure_symmDiff", "MeasureTheory.abs_toReal_measure_sub_le_measure_symmDiff'", "MeasureTheory.absolutelyContinuous_inv", "MeasureTheory.absolutelyContinuous_map_div_left", "MeasureTheory.absolutelyContinuous_map_mul_right", "MeasureTheory.absolutelyContinuous_of_isMulLeftInvariant", "MeasureTheory.absolutelyContinuous_tilted", "MeasureTheory.absolutelyContinuous_toFinite", "MeasureTheory.adapted_const", "MeasureTheory.adapted_martingalePart", "MeasureTheory.adapted_predictablePart", "MeasureTheory.adapted_predictablePart'", "MeasureTheory.addContent_biUnion_le", "MeasureTheory.addContent_eq_add_diffFinset\u2080_of_subset", "MeasureTheory.addContent_mono", "MeasureTheory.addContent_sUnion", "MeasureTheory.addContent_union", "MeasureTheory.addContent_union'", "MeasureTheory.addContent_union_le", "MeasureTheory.addHaarMeasure_eq_volume_pi", "MeasureTheory.addHaar_image_eq_zero_of_det_fderivWithin_eq_zero", "MeasureTheory.addHaar_image_eq_zero_of_det_fderivWithin_eq_zero_aux", "MeasureTheory.addHaar_image_eq_zero_of_differentiableOn_of_addHaar_eq_zero", "MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv", "MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1", "MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux2", "MeasureTheory.addHaar_image_le_mul_of_det_lt", "MeasureTheory.aeStronglyMeasurable'_condexpIndSMul", "MeasureTheory.aeStronglyMeasurable'_condexpL2", "MeasureTheory.aeStronglyMeasurable'_of_aeStronglyMeasurable'_trim", "MeasureTheory.ae_add_measure_iff", "MeasureTheory.ae_ae_add_linearMap_mem_iff", "MeasureTheory.ae_all_iff", "MeasureTheory.ae_ball_iff", "MeasureTheory.ae_bdd_condexp_of_ae_bdd", "MeasureTheory.ae_bdd_liminf_atTop_of_snorm_bdd", "MeasureTheory.ae_bdd_liminf_atTop_rpow_of_snorm_bdd", "MeasureTheory.ae_comp_linearMap_mem_iff", "MeasureTheory.ae_const_le_iff_forall_lt_measure_zero", "MeasureTheory.ae_dirac_eq", "MeasureTheory.ae_dirac_iff", "MeasureTheory.ae_eq_bot", "MeasureTheory.ae_eq_comp", "MeasureTheory.ae_eq_comp'", "MeasureTheory.ae_eq_condexp_of_forall_setIntegral_eq", "MeasureTheory.ae_eq_dirac", "MeasureTheory.ae_eq_dirac'", "MeasureTheory.ae_eq_empty", "MeasureTheory.ae_eq_of_ae_eq_trim", "MeasureTheory.ae_eq_of_ae_le_of_lintegral_le", "MeasureTheory.ae_eq_of_ae_subset_of_measure_ge", "MeasureTheory.ae_eq_of_forall_setIntegral_eq_of_sigmaFinite", "MeasureTheory.ae_eq_of_forall_setIntegral_eq_of_sigmaFinite'", "MeasureTheory.ae_eq_of_forall_setLIntegral_eq_of_sigmaFinite", "MeasureTheory.ae_eq_of_forall_setLIntegral_eq_of_sigmaFinite\u2080", "MeasureTheory.ae_eq_refl", "MeasureTheory.ae_eq_restrict_biUnion_finset_iff", "MeasureTheory.ae_eq_restrict_biUnion_iff", "MeasureTheory.ae_eq_restrict_iUnion_iff", "MeasureTheory.ae_eq_restrict_of_forall_setIntegral_eq", "MeasureTheory.ae_eq_set", "MeasureTheory.ae_eq_set_compl", "MeasureTheory.ae_eq_set_inter", "MeasureTheory.ae_eq_set_union", "MeasureTheory.ae_eq_trans", "MeasureTheory.ae_eq_trim_iff", "MeasureTheory.ae_eq_trim_iff_of_aeStronglyMeasurable'", "MeasureTheory.ae_eq_trim_of_stronglyMeasurable", "MeasureTheory.ae_eq_univ", "MeasureTheory.ae_eq_univ_iff_measure_eq", "MeasureTheory.ae_eq_zero_of_forall_dual", "MeasureTheory.ae_eq_zero_of_forall_dual_of_isSeparable", "MeasureTheory.ae_eq_zero_of_forall_inner", "MeasureTheory.ae_eq_zero_of_forall_setIntegral_eq_of_finStronglyMeasurable_trim", "MeasureTheory.ae_eq_zero_of_forall_setIntegral_eq_of_sigmaFinite", "MeasureTheory.ae_eq_zero_of_forall_setIntegral_isClosed_eq_zero", "MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zero", "MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zero'", "MeasureTheory.ae_eq_zero_of_snorm'_eq_zero", "MeasureTheory.ae_eq_zero_restrict_of_forall_setIntegral_eq_zero", "MeasureTheory.ae_eq_zero_restrict_of_forall_setIntegral_eq_zero_real", "MeasureTheory.ae_eventually_not_mem", "MeasureTheory.ae_iff", "MeasureTheory.ae_iff_measure_eq", "MeasureTheory.ae_iff_of_countable", "MeasureTheory.ae_iff_prob_eq_one", "MeasureTheory.ae_imp_of_ae_restrict", "MeasureTheory.ae_le_of_ae_le_trim", "MeasureTheory.ae_le_of_ae_lt", "MeasureTheory.ae_le_of_forall_setIntegral_le", "MeasureTheory.ae_le_of_forall_setLIntegral_le_of_sigmaFinite", "MeasureTheory.ae_le_of_forall_setLIntegral_le_of_sigmaFinite\u2080", "MeasureTheory.ae_le_set", "MeasureTheory.ae_le_set_inter", "MeasureTheory.ae_le_trim_of_stronglyMeasurable", "MeasureTheory.ae_lt_top", "MeasureTheory.ae_lt_top'", "MeasureTheory.ae_map_iff", "MeasureTheory.ae_map_mem_range", "MeasureTheory.ae_measure_preimage_mul_right_lt_top", "MeasureTheory.ae_measure_preimage_mul_right_lt_top_of_ne_zero", "MeasureTheory.ae_mem_iff_measure_eq", "MeasureTheory.ae_mem_of_ae_add_linearMap_mem", "MeasureTheory.ae_mono", "MeasureTheory.ae_nonneg_of_forall_setIntegral_nonneg", "MeasureTheory.ae_nonneg_of_forall_setIntegral_nonneg_of_sigmaFinite", "MeasureTheory.ae_nonneg_of_forall_setIntegral_nonneg_of_stronglyMeasurable", "MeasureTheory.ae_nonneg_restrict_of_forall_setIntegral_nonneg", "MeasureTheory.ae_nonneg_restrict_of_forall_setIntegral_nonneg_inter", "MeasureTheory.ae_of_ae_map", "MeasureTheory.ae_of_ae_restrict_of_ae_restrict_compl", "MeasureTheory.ae_of_ae_trim", "MeasureTheory.ae_of_all", "MeasureTheory.ae_of_forall_measure_lt_top_ae_restrict", "MeasureTheory.ae_of_forall_measure_lt_top_ae_restrict'", "MeasureTheory.ae_restrict_biUnion_eq", "MeasureTheory.ae_restrict_biUnion_finset_eq", "MeasureTheory.ae_restrict_biUnion_finset_iff", "MeasureTheory.ae_restrict_biUnion_iff", "MeasureTheory.ae_restrict_eq", "MeasureTheory.ae_restrict_eq_bot", "MeasureTheory.ae_restrict_iUnion_eq", "MeasureTheory.ae_restrict_iUnion_iff", "MeasureTheory.ae_restrict_iff", "MeasureTheory.ae_restrict_iff'", "MeasureTheory.ae_restrict_iff'\u2080", "MeasureTheory.ae_restrict_iff\u2080", "MeasureTheory.ae_restrict_mem", "MeasureTheory.ae_restrict_mem\u2080", "MeasureTheory.ae_restrict_of_ae", "MeasureTheory.ae_restrict_of_ae_eq_of_ae_restrict", "MeasureTheory.ae_restrict_of_ae_restrict_of_subset", "MeasureTheory.ae_restrict_uIoc_eq", "MeasureTheory.ae_restrict_uIoc_iff", "MeasureTheory.ae_restrict_union_eq", "MeasureTheory.ae_smul_measure", "MeasureTheory.ae_uIoc_iff", "MeasureTheory.ae_withDensity_iff", "MeasureTheory.ae_withDensity_iff'", "MeasureTheory.ae_withDensity_iff_ae_restrict", "MeasureTheory.ae_withDensity_iff_ae_restrict'", "MeasureTheory.ae_zero", "MeasureTheory.aecover_Icc", "MeasureTheory.aecover_Icc_of_Icc", "MeasureTheory.aecover_Icc_of_Ico", "MeasureTheory.aecover_Icc_of_Ioo", "MeasureTheory.aecover_Ico", "MeasureTheory.aecover_Ico_of_Icc", "MeasureTheory.aecover_Ico_of_Ico", "MeasureTheory.aecover_Ico_of_Ioc", "MeasureTheory.aecover_Ico_of_Ioo", "MeasureTheory.aecover_Ioc_of_Icc", "MeasureTheory.aecover_Ioc_of_Ioc", "MeasureTheory.aecover_Ioi_of_Ioi", "MeasureTheory.aecover_Ioo", "MeasureTheory.aecover_Ioo_of_Icc", "MeasureTheory.aecover_Ioo_of_Ico", "MeasureTheory.aecover_Ioo_of_Ioc", "MeasureTheory.aecover_ball", "MeasureTheory.aecover_closedBall", "MeasureTheory.aecover_restrict_of_ae_imp", "MeasureTheory.aedisjoint_compl_left", "MeasureTheory.aedisjoint_compl_right", "MeasureTheory.aefinStronglyMeasurable_iff_aemeasurable", "MeasureTheory.aefinStronglyMeasurable_of_aemeasurable", "MeasureTheory.aefinStronglyMeasurable_zero", "MeasureTheory.aemeasurable_fderivWithin", "MeasureTheory.aemeasurable_of_exist_almost_disjoint_supersets", "MeasureTheory.aemeasurable_toNNReal_abs_det_fderivWithin", "MeasureTheory.aemeasurable_withDensity_ennreal_iff'", "MeasureTheory.aestronglyMeasurable'_condexpL1", "MeasureTheory.aestronglyMeasurable'_condexpL1CLM", "MeasureTheory.aestronglyMeasurable_const", "MeasureTheory.aestronglyMeasurable_one", "MeasureTheory.aestronglyMeasurable_zero_measure", "MeasureTheory.all_ae_of", "MeasureTheory.all_ae_ofReal_F_le_bound", "MeasureTheory.all_ae_ofReal_f_le_bound", "MeasureTheory.all_ae_tendsto_ofReal_norm", "MeasureTheory.analyticSet_empty", "MeasureTheory.analyticSet_iff_exists_polishSpace_range", "MeasureTheory.analyticSet_range_of_polishSpace", "MeasureTheory.average_add_measure", "MeasureTheory.average_const", "MeasureTheory.average_eq", "MeasureTheory.average_eq_integral", "MeasureTheory.average_mem_openSegment_compl_self", "MeasureTheory.average_neg", "MeasureTheory.average_pair", "MeasureTheory.average_union", "MeasureTheory.average_union_mem_openSegment", "MeasureTheory.average_union_mem_segment", "MeasureTheory.average_zero", "MeasureTheory.average_zero_measure", "MeasureTheory.biSup_measure_Iic", "MeasureTheory.borel_eq_borel_of_le", "MeasureTheory.coe_measureUnivNNReal", "MeasureTheory.coe_toNNReal_ae_eq", "MeasureTheory.comap_eval_le_generateFrom_squareCylinders_singleton", "MeasureTheory.compl_cylinder", "MeasureTheory.compl_mem_ae_iff", "MeasureTheory.compl_mem_measurableCylinders", "MeasureTheory.condexpIndL1Fin_add", "MeasureTheory.condexpIndL1Fin_ae_eq_condexpIndSMul", "MeasureTheory.condexpIndL1Fin_disjoint_union", "MeasureTheory.condexpIndL1Fin_smul", "MeasureTheory.condexpIndL1Fin_smul'", "MeasureTheory.condexpIndL1_add", "MeasureTheory.condexpIndL1_disjoint_union", "MeasureTheory.condexpIndL1_of_measurableSet_of_measure_ne_top", "MeasureTheory.condexpIndL1_of_measure_eq_top", "MeasureTheory.condexpIndL1_of_not_measurableSet", "MeasureTheory.condexpIndL1_smul", "MeasureTheory.condexpIndL1_smul'", "MeasureTheory.condexpIndSMul_add", "MeasureTheory.condexpIndSMul_ae_eq_smul", "MeasureTheory.condexpIndSMul_empty", "MeasureTheory.condexpIndSMul_nonneg", "MeasureTheory.condexpIndSMul_smul", "MeasureTheory.condexpIndSMul_smul'", "MeasureTheory.condexpInd_ae_eq_condexpIndSMul", "MeasureTheory.condexpInd_disjoint_union", "MeasureTheory.condexpInd_disjoint_union_apply", "MeasureTheory.condexpInd_empty", "MeasureTheory.condexpInd_nonneg", "MeasureTheory.condexpInd_of_measurable", "MeasureTheory.condexpL1CLM_indicatorConst", "MeasureTheory.condexpL1CLM_indicatorConstLp", "MeasureTheory.condexpL1CLM_lpMeas", "MeasureTheory.condexpL1CLM_smul", "MeasureTheory.condexpL1_add", "MeasureTheory.condexpL1_congr_ae", "MeasureTheory.condexpL1_eq", "MeasureTheory.condexpL1_measure_zero", "MeasureTheory.condexpL1_mono", "MeasureTheory.condexpL1_of_aestronglyMeasurable'", "MeasureTheory.condexpL1_smul", "MeasureTheory.condexpL1_undef", "MeasureTheory.condexpL1_zero", "MeasureTheory.condexpL2_ae_eq_zero_of_ae_eq_zero", "MeasureTheory.condexpL2_comp_continuousLinearMap", "MeasureTheory.condexpL2_const_inner", "MeasureTheory.condexpL2_indicator_ae_eq_smul", "MeasureTheory.condexpL2_indicator_eq_toSpanSingleton_comp", "MeasureTheory.condexpL2_indicator_nonneg", "MeasureTheory.condexpL2_indicator_of_measurable", "MeasureTheory.condexp_add", "MeasureTheory.condexp_ae_eq_condexpL1", "MeasureTheory.condexp_ae_eq_condexpL1CLM", "MeasureTheory.condexp_ae_eq_restrict_of_measurableSpace_eq_on", "MeasureTheory.condexp_ae_eq_restrict_zero", "MeasureTheory.condexp_bot", "MeasureTheory.condexp_bot'", "MeasureTheory.condexp_bot_ae_eq", "MeasureTheory.condexp_condexp_of_le", "MeasureTheory.condexp_congr_ae", "MeasureTheory.condexp_finset_sum", "MeasureTheory.condexp_indep_eq", "MeasureTheory.condexp_indicator", "MeasureTheory.condexp_indicator_aux", "MeasureTheory.condexp_min_stopping_time_ae_eq_restrict_le", "MeasureTheory.condexp_min_stopping_time_ae_eq_restrict_le_const", "MeasureTheory.condexp_mono", "MeasureTheory.condexp_neg", "MeasureTheory.condexp_nonneg", "MeasureTheory.condexp_nonpos", "MeasureTheory.condexp_of_aestronglyMeasurable'", "MeasureTheory.condexp_of_not_le", "MeasureTheory.condexp_of_not_sigmaFinite", "MeasureTheory.condexp_of_sigmaFinite", "MeasureTheory.condexp_of_stronglyMeasurable", "MeasureTheory.condexp_restrict_ae_eq_restrict", "MeasureTheory.condexp_smul", "MeasureTheory.condexp_stopping_time_ae_eq_restrict_eq", "MeasureTheory.condexp_stopping_time_ae_eq_restrict_eq_of_countable", "MeasureTheory.condexp_stopping_time_ae_eq_restrict_eq_of_countable_range", "MeasureTheory.condexp_stronglyMeasurable_mul", "MeasureTheory.condexp_stronglyMeasurable_mul_of_bound", "MeasureTheory.condexp_stronglyMeasurable_mul_of_bound\u2080", "MeasureTheory.condexp_stronglyMeasurable_mul\u2080", "MeasureTheory.condexp_stronglyMeasurable_simpleFunc_mul", "MeasureTheory.condexp_sub", "MeasureTheory.condexp_undef", "MeasureTheory.condexp_zero", "MeasureTheory.contDiffOn_convolution_left_with_param_comp", "MeasureTheory.contDiffOn_convolution_right_with_param", "MeasureTheory.contDiffOn_convolution_right_with_param_aux", "MeasureTheory.contDiffOn_convolution_right_with_param_comp", "MeasureTheory.continuousAt_of_dominated", "MeasureTheory.continuousOn_convolution_right_with_param", "MeasureTheory.continuousOn_convolution_right_with_param_comp", "MeasureTheory.continuousOn_of_dominated", "MeasureTheory.continuousOn_setToFun_of_dominated", "MeasureTheory.continuousWithinAt_of_dominated", "MeasureTheory.continuousWithinAt_setToFun_of_dominated", "MeasureTheory.continuous_L1_toL1", "MeasureTheory.continuous_diracProba", "MeasureTheory.continuous_diracProbaEquiv", "MeasureTheory.continuous_diracProbaEquivSymm", "MeasureTheory.continuous_integral", "MeasureTheory.continuous_integral_apply_inv_mul", "MeasureTheory.continuous_integral_integral", "MeasureTheory.continuous_of_dominated", "MeasureTheory.continuous_setIntegral", "MeasureTheory.convolutionExistsAt_flip", "MeasureTheory.convolutionExistsAt_iff_integrable_swap", "MeasureTheory.convolution_assoc", "MeasureTheory.convolution_assoc'", "MeasureTheory.convolution_congr", "MeasureTheory.convolution_def", "MeasureTheory.convolution_eq_right'", "MeasureTheory.convolution_eq_swap", "MeasureTheory.convolution_flip", "MeasureTheory.convolution_integrand_bound_right_of_le_of_subset", "MeasureTheory.convolution_lsmul_swap", "MeasureTheory.convolution_mono_right", "MeasureTheory.convolution_mono_right_of_nonneg", "MeasureTheory.convolution_mul", "MeasureTheory.convolution_mul_swap", "MeasureTheory.convolution_neg_of_neg_eq", "MeasureTheory.convolution_precompR_apply", "MeasureTheory.convolution_smul", "MeasureTheory.convolution_tendsto_right", "MeasureTheory.convolution_zero", "MeasureTheory.countable_generateSetAlgebra", "MeasureTheory.countable_meas_le_ne_meas_lt", "MeasureTheory.crossing_eq_crossing_of_lowerCrossingTime_lt", "MeasureTheory.crossing_eq_crossing_of_upperCrossingTime_lt", "MeasureTheory.crossing_pos_eq", "MeasureTheory.cylinder_empty", "MeasureTheory.cylinder_eq_cylinder_union", "MeasureTheory.cylinder_eq_empty_iff", "MeasureTheory.cylinder_mem_measurableCylinders", "MeasureTheory.cylinder_univ", "MeasureTheory.densityToFinite_ae_lt_top", "MeasureTheory.densityToFinite_def", "MeasureTheory.det_one_smulRight", "MeasureTheory.diff_ae_eq_self", "MeasureTheory.diff_cylinder_same", "MeasureTheory.diff_mem_measurableCylinders", "MeasureTheory.diracProbaInverse_eq", "MeasureTheory.diracProba_diracProbaInverse", "MeasureTheory.diracProba_toMeasure_apply'", "MeasureTheory.dirac_eq_dirac_iff", "MeasureTheory.dirac_eq_dirac_iff_forall_mem_iff_mem", "MeasureTheory.dirac_ne_dirac", "MeasureTheory.dirac_ne_dirac_iff", "MeasureTheory.dirac_ne_dirac_iff_exists_measurableSet", "MeasureTheory.disjoint_cylinder_iff", "MeasureTheory.dist_convolution_le", "MeasureTheory.dist_convolution_le'", "MeasureTheory.dist_indicatorConstLp_eq_norm", "MeasureTheory.div_ae_eq_one", "MeasureTheory.dominatedFinMeasAdditive_condexpInd", "MeasureTheory.dominatedFinMeasAdditive_weightedSMul", "MeasureTheory.edist_indicatorConstLp_eq_nnnorm", "MeasureTheory.embedding_diracProba", "MeasureTheory.empty_mem_measurableCylinders", "MeasureTheory.ennnorm_integral_le_lintegral_ennnorm", "MeasureTheory.eq_of_cylinder_eq_of_subset", "MeasureTheory.essSup_trim", "MeasureTheory.eventually_div_right_iff", "MeasureTheory.eventually_mem_spanningSets", "MeasureTheory.eventually_mul_left_iff", "MeasureTheory.eventually_mul_right_iff", "MeasureTheory.eventually_nhds_one_measure_smul_diff_lt", "MeasureTheory.exists_Lp_half", "MeasureTheory.exists_absolutelyContinuous_isFiniteMeasure", "MeasureTheory.exists_average_le", "MeasureTheory.exists_continuous_snorm_sub_le_of_closed", "MeasureTheory.exists_integral_le", "MeasureTheory.exists_le_integral", "MeasureTheory.exists_le_laverage", "MeasureTheory.exists_le_lintegral", "MeasureTheory.exists_le_lowerSemicontinuous_lintegral_ge", "MeasureTheory.exists_lintegral_le", "MeasureTheory.exists_lt_lintegral_simpleFunc_of_lt_lintegral", "MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnreal", "MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt", "MeasureTheory.exists_lt_lowerSemicontinuous_lintegral_ge", "MeasureTheory.exists_lt_lowerSemicontinuous_lintegral_ge_of_aemeasurable", "MeasureTheory.exists_measurableEmbedding_real", "MeasureTheory.exists_measurable_le_lintegral_eq", "MeasureTheory.exists_measurable_superset", "MeasureTheory.exists_measurable_superset_forall_eq", "MeasureTheory.exists_measurable_superset_iff_measure_eq_zero", "MeasureTheory.exists_measurable_superset_of_null", "MeasureTheory.exists_measurable_superset\u2082", "MeasureTheory.exists_measure_pos_of_not_measure_iUnion_null", "MeasureTheory.exists_nat_measurableEquiv_range_coe_fin_of_finite", "MeasureTheory.exists_ne_forall_mem_nhds_pos_measure_preimage", "MeasureTheory.exists_ne_zero_mem_lattice_of_measure_mul_two_pow_le_measure", "MeasureTheory.exists_ne_zero_mem_lattice_of_measure_mul_two_pow_lt_measure", "MeasureTheory.exists_nonempty_inter_of_measure_univ_lt_sum_measure", "MeasureTheory.exists_not_mem_null_average_le", "MeasureTheory.exists_not_mem_null_integral_le", "MeasureTheory.exists_not_mem_null_laverage_le", "MeasureTheory.exists_not_mem_null_le_average", "MeasureTheory.exists_not_mem_null_le_integral", "MeasureTheory.exists_not_mem_null_le_laverage", "MeasureTheory.exists_not_mem_null_le_lintegral", "MeasureTheory.exists_not_mem_null_lintegral_le", "MeasureTheory.exists_null_frontier_thickening", "MeasureTheory.exists_null_frontiers_thickening", "MeasureTheory.exists_null_pairwise_disjoint_diff", "MeasureTheory.exists_pair_mem_lattice_not_disjoint_vadd", "MeasureTheory.exists_pos_ball", "MeasureTheory.exists_pos_lintegral_lt_of_sigmaFinite", "MeasureTheory.exists_pos_measure_of_cover", "MeasureTheory.exists_pos_preimage_ball", "MeasureTheory.exists_pos_setLIntegral_lt_of_measure_lt", "MeasureTheory.exists_setAverage_le", "MeasureTheory.exists_setLaverage_le", "MeasureTheory.exists_simpleFunc_forall_lintegral_sub_lt_of_pos", "MeasureTheory.exists_snorm_indicator_le", "MeasureTheory.exists_subordinate_pairwise_disjoint", "MeasureTheory.exists_subset_real_measurableEquiv", "MeasureTheory.exists_upperCrossingTime_eq", "MeasureTheory.exists_upperSemicontinuous_le_integral_le", "MeasureTheory.exists_upperSemicontinuous_le_lintegral_le", "MeasureTheory.exists_upperSemicontinuous_lt_integral_gt", "MeasureTheory.exp_llr", "MeasureTheory.exp_llr_of_ac", "MeasureTheory.exp_llr_of_ac'", "MeasureTheory.exp_neg_llr", "MeasureTheory.exp_neg_llr'", "MeasureTheory.ext_of_forall_lintegral_eq_of_IsFiniteMeasure", "MeasureTheory.ext_of_generate_finite", "MeasureTheory.ext_on_measurableSpace_of_generate_finite", "MeasureTheory.extend_congr", "MeasureTheory.extend_empty", "MeasureTheory.extend_eq", "MeasureTheory.extend_eq_top", "MeasureTheory.extend_iUnion", "MeasureTheory.extend_iUnion_le_tsum_nat", "MeasureTheory.extend_iUnion_le_tsum_nat'", "MeasureTheory.extend_iUnion_nat", "MeasureTheory.extend_mono", "MeasureTheory.extend_mono'", "MeasureTheory.extend_top", "MeasureTheory.extend_union", "MeasureTheory.finStronglyMeasurable_iff_measurable", "MeasureTheory.finStronglyMeasurable_iff_stronglyMeasurable_and_exists_set_sigmaFinite", "MeasureTheory.finStronglyMeasurable_of_measurable", "MeasureTheory.finStronglyMeasurable_zero", "MeasureTheory.forall_measure_preimage_mul_iff", "MeasureTheory.forall_measure_preimage_mul_right_iff", "MeasureTheory.frequently_ae_iff", "MeasureTheory.frequently_ae_mem_iff", "MeasureTheory.fundamentalFrontier_smul", "MeasureTheory.fundamentalFrontier_union_fundamentalInterior", "MeasureTheory.fundamentalInterior_smul", "MeasureTheory.fundamentalInterior_subset", "MeasureTheory.generateFrom_generateSetAlgebra_eq", "MeasureTheory.generateFrom_measurableCylinders", "MeasureTheory.generateFrom_squareCylinders", "MeasureTheory.generateSetAlgebra_mono", "MeasureTheory.hahn_decomposition", "MeasureTheory.hasFDerivAt_convolution_right_with_param", "MeasureTheory.hasFiniteIntegral_add_measure", "MeasureTheory.hasFiniteIntegral_congr", "MeasureTheory.hasFiniteIntegral_congr'", "MeasureTheory.hasFiniteIntegral_const_iff", "MeasureTheory.hasFiniteIntegral_count_iff", "MeasureTheory.hasFiniteIntegral_def", "MeasureTheory.hasFiniteIntegral_iff_edist", "MeasureTheory.hasFiniteIntegral_iff_norm", "MeasureTheory.hasFiniteIntegral_iff_ofNNReal", "MeasureTheory.hasFiniteIntegral_iff_ofReal", "MeasureTheory.hasFiniteIntegral_norm_iff", "MeasureTheory.hasFiniteIntegral_of_bounded", "MeasureTheory.hasFiniteIntegral_of_dominated_convergence", "MeasureTheory.hasFiniteIntegral_prod_iff", "MeasureTheory.hasFiniteIntegral_prod_iff'", "MeasureTheory.hasFiniteIntegral_restrict_of_bounded", "MeasureTheory.hasFiniteIntegral_smul_iff", "MeasureTheory.hasFiniteIntegral_toReal_of_lintegral_ne_top", "MeasureTheory.hasFiniteIntegral_zero", "MeasureTheory.hasFiniteIntegral_zero_measure", "MeasureTheory.hasPDF_iff", "MeasureTheory.hasPDF_iff_of_aemeasurable", "MeasureTheory.hasPDF_of_map_eq_withDensity", "MeasureTheory.hasPDF_of_pdf_ne_zero", "MeasureTheory.hasSum_integral_iUnion_ae", "MeasureTheory.hasSum_integral_measure", "MeasureTheory.hasSum_integral_of_dominated_convergence", "MeasureTheory.hasSum_integral_of_summable_integral_norm", "MeasureTheory.hasSum_lintegral_measure", "MeasureTheory.hausdorffMeasure_affineSegment", "MeasureTheory.hausdorffMeasure_homothety_image", "MeasureTheory.hausdorffMeasure_homothety_preimage", "MeasureTheory.hausdorffMeasure_lineMap_image", "MeasureTheory.hausdorffMeasure_measurePreserving_funUnique", "MeasureTheory.hausdorffMeasure_measurePreserving_piFinTwo", "MeasureTheory.hausdorffMeasure_pi_real", "MeasureTheory.hausdorffMeasure_prod_real", "MeasureTheory.hausdorffMeasure_real", "MeasureTheory.hausdorffMeasure_smul", "MeasureTheory.hausdorffMeasure_smul_right_image", "MeasureTheory.hitting_bot_le_iff", "MeasureTheory.hitting_def", "MeasureTheory.hitting_eq_end_iff", "MeasureTheory.hitting_eq_hitting_of_exists", "MeasureTheory.hitting_eq_sInf", "MeasureTheory.hitting_isStoppingTime", "MeasureTheory.hitting_le", "MeasureTheory.hitting_le_iff_of_exists", "MeasureTheory.hitting_le_iff_of_lt", "MeasureTheory.hitting_le_of_mem", "MeasureTheory.hitting_lt_iff", "MeasureTheory.hitting_mem_Icc", "MeasureTheory.hitting_mem_set", "MeasureTheory.hitting_mem_set_of_hitting_lt", "MeasureTheory.hitting_mono", "MeasureTheory.hitting_of_le", "MeasureTheory.hitting_of_lt", "MeasureTheory.iSup_lintegral_le", "MeasureTheory.iSup_lintegral_measurable_le_eq_lintegral", "MeasureTheory.iSup\u2082_lintegral_le", "MeasureTheory.iUnion_spanningSets", "MeasureTheory.indicatorConstLp_add", "MeasureTheory.indicatorConstLp_coeFn", "MeasureTheory.indicatorConstLp_coeFn_mem", "MeasureTheory.indicatorConstLp_coeFn_nmem", "MeasureTheory.indicatorConstLp_disjoint_union", "MeasureTheory.indicatorConstLp_empty", "MeasureTheory.indicatorConstLp_eq_toSpanSingleton_compLp", "MeasureTheory.indicatorConstLp_inj", "MeasureTheory.indicatorConstLp_sub", "MeasureTheory.indicatorConstLp_univ", "MeasureTheory.inducedOuterMeasure_caratheodory", "MeasureTheory.inducedOuterMeasure_eq'", "MeasureTheory.inducedOuterMeasure_eq_extend'", "MeasureTheory.inducedOuterMeasure_eq_iInf", "MeasureTheory.inducedOuterMeasure_exists_set", "MeasureTheory.inducedOuterMeasure_preimage", "MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter", "MeasureTheory.injective_dirac", "MeasureTheory.injective_diracProba", "MeasureTheory.injective_diracProba_of_T0", "MeasureTheory.innerRegularWRT_isCompact_isClosed_measure_ne_top_of_group", "MeasureTheory.innerRegular_inv_iff", "MeasureTheory.inner_condexpL2_eq_inner_fun", "MeasureTheory.insert_ae_eq_self", "MeasureTheory.integrableAtFilter_top", "MeasureTheory.integrableOn_Iic_iff_integrableAtFilter_atBot", "MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_bounded", "MeasureTheory.integrableOn_Iic_of_intervalIntegral_norm_tendsto", "MeasureTheory.integrableOn_Iio_iff_integrableAtFilter_atBot_nhdsWithin", "MeasureTheory.integrableOn_Ioc_of_intervalIntegral_norm_bounded", "MeasureTheory.integrableOn_Ioi_comp_mul_left_iff", "MeasureTheory.integrableOn_Ioi_comp_mul_right_iff", "MeasureTheory.integrableOn_Ioi_comp_rpow_iff", "MeasureTheory.integrableOn_Ioi_comp_rpow_iff'", "MeasureTheory.integrableOn_Ioi_deriv_of_nonneg", "MeasureTheory.integrableOn_Ioi_deriv_of_nonneg'", "MeasureTheory.integrableOn_Ioi_deriv_of_nonpos", "MeasureTheory.integrableOn_Ioi_deriv_of_nonpos'", "MeasureTheory.integrableOn_Ioi_iff_integrableAtFilter_atTop_nhdsWithin", "MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_bounded", "MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_tendsto", "MeasureTheory.integrableOn_Lp_of_measure_ne_top", "MeasureTheory.integrableOn_add_measure", "MeasureTheory.integrableOn_condexpL2_of_measure_ne_top", "MeasureTheory.integrableOn_congr_fun", "MeasureTheory.integrableOn_const", "MeasureTheory.integrableOn_finite_biUnion", "MeasureTheory.integrableOn_finite_iUnion", "MeasureTheory.integrableOn_iUnion_of_summable_integral_norm", "MeasureTheory.integrableOn_iUnion_of_summable_norm_restrict", "MeasureTheory.integrableOn_iff_integrable_of_support_subset", "MeasureTheory.integrableOn_image_iff_integrableOn_abs_deriv_smul", "MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul", "MeasureTheory.integrableOn_map_equiv", "MeasureTheory.integrableOn_singleton_iff", "MeasureTheory.integrableOn_union", "MeasureTheory.integrableOn_univ", "MeasureTheory.integrableOn_zero", "MeasureTheory.integrable_add_const_iff", "MeasureTheory.integrable_add_iff_integrable_left", "MeasureTheory.integrable_add_iff_integrable_right", "MeasureTheory.integrable_add_iff_of_nonneg", "MeasureTheory.integrable_add_iff_of_nonpos", "MeasureTheory.integrable_add_of_disjoint", "MeasureTheory.integrable_average", "MeasureTheory.integrable_comp", "MeasureTheory.integrable_comp_div_iff", "MeasureTheory.integrable_comp_div_left", "MeasureTheory.integrable_comp_mul_left_iff", "MeasureTheory.integrable_comp_mul_right_iff", "MeasureTheory.integrable_comp_smul_iff", "MeasureTheory.integrable_condexp", "MeasureTheory.integrable_condexpIndSMul", "MeasureTheory.integrable_condexpL1", "MeasureTheory.integrable_condexpL2_indicator", "MeasureTheory.integrable_condexpL2_of_isFiniteMeasure", "MeasureTheory.integrable_congr", "MeasureTheory.integrable_const", "MeasureTheory.integrable_const_iff", "MeasureTheory.integrable_count_iff", "MeasureTheory.integrable_finset_sum", "MeasureTheory.integrable_finset_sum'", "MeasureTheory.integrable_finset_sum_measure", "MeasureTheory.integrable_iff_integrableAtFilter_atBot_atTop", "MeasureTheory.integrable_iff_integrableAtFilter_atTop", "MeasureTheory.integrable_iff_integrableAtFilter_cocompact", "MeasureTheory.integrable_indicatorConstLp", "MeasureTheory.integrable_indicator_iff", "MeasureTheory.integrable_inv_smul_measure", "MeasureTheory.integrable_left_of_integrable_add_of_nonneg", "MeasureTheory.integrable_llr_tilted_left", "MeasureTheory.integrable_llr_tilted_right", "MeasureTheory.integrable_map_equiv", "MeasureTheory.integrable_martingalePart", "MeasureTheory.integrable_mul_const_iff", "MeasureTheory.integrable_neg_iff", "MeasureTheory.integrable_norm_iff", "MeasureTheory.integrable_of_forall_fin_meas_le", "MeasureTheory.integrable_of_integrable_trim", "MeasureTheory.integrable_of_integral_eq_one", "MeasureTheory.integrable_of_intervalIntegral_norm_bounded", "MeasureTheory.integrable_of_norm_sub_le", "MeasureTheory.integrable_of_summable_norm_restrict", "MeasureTheory.integrable_posConvolution", "MeasureTheory.integrable_prod", "MeasureTheory.integrable_prod_iff", "MeasureTheory.integrable_prod_iff'", "MeasureTheory.integrable_right_of_integrable_add_of_nonneg", "MeasureTheory.integrable_rnDeriv_smul_iff", "MeasureTheory.integrable_smul_const", "MeasureTheory.integrable_smul_iff", "MeasureTheory.integrable_smul_measure", "MeasureTheory.integrable_stoppedValue", "MeasureTheory.integrable_swap_iff", "MeasureTheory.integrable_toReal_of_lintegral_ne_top", "MeasureTheory.integrable_withDensity_iff", "MeasureTheory.integrable_withDensity_iff_integrable_coe_smul", "MeasureTheory.integrable_withDensity_iff_integrable_coe_smul\u2080", "MeasureTheory.integrable_withDensity_iff_integrable_smul", "MeasureTheory.integrable_withDensity_iff_integrable_smul'", "MeasureTheory.integrable_zero", "MeasureTheory.integrable_zero_measure", "MeasureTheory.integral2_divergence_prod_of_hasFDerivWithinAt_off_countable", "MeasureTheory.integral_Icc_eq_integral_Ico", "MeasureTheory.integral_Icc_eq_integral_Ioc", "MeasureTheory.integral_Icc_eq_integral_Ioo", "MeasureTheory.integral_Icc_eq_integral_Ioo'", "MeasureTheory.integral_Ici_eq_integral_Ioi", "MeasureTheory.integral_Ici_eq_integral_Ioi'", "MeasureTheory.integral_Ico_eq_integral_Ioo'", "MeasureTheory.integral_Iic_deriv_mul_eq_sub", "MeasureTheory.integral_Iic_eq_integral_Iio", "MeasureTheory.integral_Iic_eq_integral_Iio'", "MeasureTheory.integral_Iic_mul_deriv_eq_deriv_mul", "MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto", "MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto'", "MeasureTheory.integral_Ioc_eq_integral_Ioo", "MeasureTheory.integral_Ioc_eq_integral_Ioo'", "MeasureTheory.integral_Ioi_deriv_mul_eq_sub", "MeasureTheory.integral_Ioi_mul_deriv_eq_deriv_mul", "MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos", "MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonpos'", "MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto", "MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto'", "MeasureTheory.integral_abs_condexp_le", "MeasureTheory.integral_add", "MeasureTheory.integral_add'", "MeasureTheory.integral_add_compl\u2080", "MeasureTheory.integral_add_measure", "MeasureTheory.integral_average", "MeasureTheory.integral_average_sub", "MeasureTheory.integral_bilinear_hasDerivAt_eq_sub", "MeasureTheory.integral_bilinear_hasDerivAt_right_eq_neg_left_of_integrable", "MeasureTheory.integral_bilinear_hasDerivAt_right_eq_sub", "MeasureTheory.integral_coe_le_of_lintegral_coe_le", "MeasureTheory.integral_comp", "MeasureTheory.integral_comp_mul_deriv_Ioi", "MeasureTheory.integral_comp_mul_left_Ioi", "MeasureTheory.integral_comp_mul_right_Ioi", "MeasureTheory.integral_comp_rpow_Ioi", "MeasureTheory.integral_comp_rpow_Ioi_of_pos", "MeasureTheory.integral_comp_smul_deriv_Ioi", "MeasureTheory.integral_condexp", "MeasureTheory.integral_condexpL2_eq", "MeasureTheory.integral_condexpL2_eq_of_fin_meas_real", "MeasureTheory.integral_condexp_indicator", "MeasureTheory.integral_congr_ae", "MeasureTheory.integral_const", "MeasureTheory.integral_convolution", "MeasureTheory.integral_countable", "MeasureTheory.integral_countable'", "MeasureTheory.integral_deriv_mul_eq_sub", "MeasureTheory.integral_diff", "MeasureTheory.integral_dirac", "MeasureTheory.integral_dirac'", "MeasureTheory.integral_div", "MeasureTheory.integral_div_left_eq_self", "MeasureTheory.integral_div_right_eq_self", "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable", "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable'", "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable_aux\u2081", "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable_aux\u2082", "MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable_of_equiv", "MeasureTheory.integral_divergence_prod_Icc_of_hasFDerivWithinAt_off_countable_of_le", "MeasureTheory.integral_eq", "MeasureTheory.integral_eq_iff_of_ae_le", "MeasureTheory.integral_eq_integral_pos_part_sub_integral_neg_part", "MeasureTheory.integral_eq_lintegral_of_nonneg_ae", "MeasureTheory.integral_eq_lintegral_pos_part_sub_lintegral_neg_part", "MeasureTheory.integral_eq_of_hasDerivWithinAt_off_countable", "MeasureTheory.integral_eq_of_hasDerivWithinAt_off_countable_of_le", "MeasureTheory.integral_eq_setToFun", "MeasureTheory.integral_eq_zero_iff_of_nonneg_ae", "MeasureTheory.integral_eq_zero_of_ae", "MeasureTheory.integral_eq_zero_of_hasDerivAt_of_integrable", "MeasureTheory.integral_eq_zero_of_mul_left_eq_neg", "MeasureTheory.integral_eq_zero_of_mul_right_eq_neg", "MeasureTheory.integral_exp_pos", "MeasureTheory.integral_exp_tilted", "MeasureTheory.integral_fin_nat_prod_eq_prod", "MeasureTheory.integral_finset", "MeasureTheory.integral_finset_biUnion", "MeasureTheory.integral_finset_sum", "MeasureTheory.integral_finset_sum_measure", "MeasureTheory.integral_fintype", "MeasureTheory.integral_fintype_iUnion", "MeasureTheory.integral_fintype_prod_eq_pow", "MeasureTheory.integral_fintype_prod_eq_prod", "MeasureTheory.integral_fn_integral_add", "MeasureTheory.integral_fn_integral_sub", "MeasureTheory.integral_fun_norm_addHaar", "MeasureTheory.integral_fun_snd", "MeasureTheory.integral_iUnion", "MeasureTheory.integral_iUnion_ae", "MeasureTheory.integral_image_eq_integral_abs_deriv_smul", "MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul", "MeasureTheory.integral_indicator", "MeasureTheory.integral_indicatorConstLp", "MeasureTheory.integral_indicator_const", "MeasureTheory.integral_indicator_one", "MeasureTheory.integral_integral_add", "MeasureTheory.integral_integral_add'", "MeasureTheory.integral_integral_sub", "MeasureTheory.integral_integral_swap", "MeasureTheory.integral_integral_swap_of_hasCompactSupport", "MeasureTheory.integral_inter_add_diff\u2080", "MeasureTheory.integral_inv_eq_self", "MeasureTheory.integral_le_liminf_integral_of_forall_isOpen_measure_le_liminf_measure", "MeasureTheory.integral_le_measure", "MeasureTheory.integral_llr_tilted_left", "MeasureTheory.integral_llr_tilted_right", "MeasureTheory.integral_map", "MeasureTheory.integral_map_of_stronglyMeasurable", "MeasureTheory.integral_mono", "MeasureTheory.integral_mono_ae", "MeasureTheory.integral_mono_measure", "MeasureTheory.integral_mono_of_nonneg", "MeasureTheory.integral_mul_deriv_eq_deriv_mul", "MeasureTheory.integral_mul_deriv_eq_deriv_mul_of_integrable", "MeasureTheory.integral_mul_le_Lp_mul_Lq_of_nonneg", "MeasureTheory.integral_mul_left", "MeasureTheory.integral_mul_left_eq_self", "MeasureTheory.integral_mul_norm_le_Lp_mul_Lq", "MeasureTheory.integral_mul_right", "MeasureTheory.integral_mul_right_eq_self", "MeasureTheory.integral_mul_upcrossingsBefore_le_integral", "MeasureTheory.integral_neg", "MeasureTheory.integral_non_aestronglyMeasurable", "MeasureTheory.integral_nonneg", "MeasureTheory.integral_nonneg_of_ae", "MeasureTheory.integral_nonpos", "MeasureTheory.integral_nonpos_of_ae", "MeasureTheory.integral_norm_eq_lintegral_nnnorm", "MeasureTheory.integral_norm_eq_pos_sub_neg", "MeasureTheory.integral_norm_le_of_forall_fin_meas_integral_eq", "MeasureTheory.integral_of_hasDerivAt_of_tendsto", "MeasureTheory.integral_piecewise", "MeasureTheory.integral_posConvolution", "MeasureTheory.integral_pos_iff_support_of_nonneg", "MeasureTheory.integral_pos_iff_support_of_nonneg_ae", "MeasureTheory.integral_prod", "MeasureTheory.integral_prod_mul", "MeasureTheory.integral_prod_smul", "MeasureTheory.integral_prod_swap", "MeasureTheory.integral_prod_symm", "MeasureTheory.integral_rnDeriv_smul", "MeasureTheory.integral_simpleFunc_larger_space", "MeasureTheory.integral_singleton", "MeasureTheory.integral_singleton'", "MeasureTheory.integral_smul", "MeasureTheory.integral_smul_eq_self", "MeasureTheory.integral_smul_measure", "MeasureTheory.integral_smul_nnreal_measure", "MeasureTheory.integral_sub", "MeasureTheory.integral_sub'", "MeasureTheory.integral_sub_average", "MeasureTheory.integral_subtype_comap", "MeasureTheory.integral_sum_measure", "MeasureTheory.integral_target_eq_integral_abs_det_fderiv_smul", "MeasureTheory.integral_tendsto_of_tendsto_of_antitone", "MeasureTheory.integral_tendsto_of_tendsto_of_monotone", "MeasureTheory.integral_tilted", "MeasureTheory.integral_toReal", "MeasureTheory.integral_trim", "MeasureTheory.integral_trim_ae", "MeasureTheory.integral_trim_simpleFunc", "MeasureTheory.integral_tsum", "MeasureTheory.integral_undef", "MeasureTheory.integral_union", "MeasureTheory.integral_union_ae", "MeasureTheory.integral_union_eq_left_of_ae", "MeasureTheory.integral_union_eq_left_of_ae_aux", "MeasureTheory.integral_union_eq_left_of_forall", "MeasureTheory.integral_unique", "MeasureTheory.integral_univ", "MeasureTheory.integral_zero", "MeasureTheory.integral_zero'", "MeasureTheory.integral_zero_measure", "MeasureTheory.inter_ae_eq_empty_of_ae_eq_empty_left", "MeasureTheory.inter_ae_eq_empty_of_ae_eq_empty_right", "MeasureTheory.inter_ae_eq_left_of_ae_eq_univ", "MeasureTheory.inter_ae_eq_right_of_ae_eq_univ", "MeasureTheory.inter_cylinder", "MeasureTheory.inter_cylinder_same", "MeasureTheory.inter_mem_measurableCylinders", "MeasureTheory.intervalIntegral_tendsto_integral", "MeasureTheory.intervalIntegral_tendsto_integral_Iic", "MeasureTheory.intervalIntegral_tendsto_integral_Ioi", "MeasureTheory.inv_smul_ae_eq_self", "MeasureTheory.isClopenable_iff_measurableSet", "MeasureTheory.isClosed_aeStronglyMeasurable'", "MeasureTheory.isComplete_aeStronglyMeasurable'", "MeasureTheory.isFiniteMeasure_of_le", "MeasureTheory.isFiniteMeasure_withDensity", "MeasureTheory.isFiniteMeasure_withDensity_ofReal", "MeasureTheory.isLocallyFiniteMeasure_of_smulInvariant", "MeasureTheory.isMulLeftInvariant_map", "MeasureTheory.isMulLeftInvariant_map_smul", "MeasureTheory.isMulRightInvariant_map_smul", "MeasureTheory.isOpenPosMeasure_of_mulLeftInvariant_of_compact", "MeasureTheory.isPiSystem_measurableCylinders", "MeasureTheory.isPiSystem_squareCylinders", "MeasureTheory.isProbabilityMeasure_comap", "MeasureTheory.isProbabilityMeasure_iff", "MeasureTheory.isProbabilityMeasure_tilted", "MeasureTheory.isStoppingTime_const", "MeasureTheory.isStoppingTime_hitting_isStoppingTime", "MeasureTheory.isStoppingTime_of_measurableSet_eq", "MeasureTheory.isStoppingTime_piecewise_const", "MeasureTheory.isometry_lpMeasSubgroupToLpTrim", "MeasureTheory.ite_ae_eq_of_measure_compl_zero", "MeasureTheory.ite_ae_eq_of_measure_zero", "MeasureTheory.laverage_add_measure", "MeasureTheory.laverage_congr", "MeasureTheory.laverage_const", "MeasureTheory.laverage_eq", "MeasureTheory.laverage_eq'", "MeasureTheory.laverage_eq_lintegral", "MeasureTheory.laverage_lt_top", "MeasureTheory.laverage_mem_openSegment_compl_self", "MeasureTheory.laverage_one", "MeasureTheory.laverage_union", "MeasureTheory.laverage_union_mem_openSegment", "MeasureTheory.laverage_union_mem_segment", "MeasureTheory.laverage_zero", "MeasureTheory.laverage_zero_measure", "MeasureTheory.le_addContent_diff", "MeasureTheory.le_ae_restrict", "MeasureTheory.le_extend", "MeasureTheory.le_hitting", "MeasureTheory.le_hitting_of_exists", "MeasureTheory.le_iInf_lintegral", "MeasureTheory.le_iInf\u2082_lintegral", "MeasureTheory.le_inducedOuterMeasure", "MeasureTheory.le_liminf_measure_open_of_forall_tendsto_measure", "MeasureTheory.le_lintegral_add", "MeasureTheory.le_measure_compl_liminf_of_limsup_measure_le", "MeasureTheory.le_measure_diff", "MeasureTheory.le_mul_iff_eq_zero_of_nonneg_of_neg_of_nonneg", "MeasureTheory.le_snorm_of_bddBelow", "MeasureTheory.le_toMeasure_apply", "MeasureTheory.le_toOuterMeasure_caratheodory", "MeasureTheory.le_trim", "MeasureTheory.leastGE_eq_min", "MeasureTheory.leastGE_le", "MeasureTheory.leftInvariantIsQuotientMeasureEqMeasurePreimage", "MeasureTheory.left_measure_le_of_levyProkhorovEDist_lt", "MeasureTheory.levyProkhorovDist_comm", "MeasureTheory.levyProkhorovDist_le_of_forall_le", "MeasureTheory.levyProkhorovDist_self", "MeasureTheory.levyProkhorovDist_triangle", "MeasureTheory.levyProkhorovEDist_comm", "MeasureTheory.levyProkhorovEDist_le_max_measure_univ", "MeasureTheory.levyProkhorovEDist_le_of_forall", "MeasureTheory.levyProkhorovEDist_le_of_forall_add_pos_le", "MeasureTheory.levyProkhorovEDist_le_of_forall_le", "MeasureTheory.levyProkhorovEDist_lt_top", "MeasureTheory.levyProkhorovEDist_ne_top", "MeasureTheory.levyProkhorovEDist_self", "MeasureTheory.levyProkhorovEDist_triangle", "MeasureTheory.levyProkhorov_le_convergenceInDistribution", "MeasureTheory.liminf_ae_eq_of_forall_ae_eq", "MeasureTheory.limsup_ae_eq_of_forall_ae_eq", "MeasureTheory.limsup_lintegral_le", "MeasureTheory.limsup_measure_closed_le_iff_liminf_measure_open_ge", "MeasureTheory.limsup_measure_closed_le_of_forall_tendsto_measure", "MeasureTheory.limsup_measure_compl_le_of_le_liminf_measure", "MeasureTheory.limsup_measure_le_of_le_liminf_measure_compl", "MeasureTheory.limsup_trim", "MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image", "MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image", "MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1", "MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux2", "MeasureTheory.lintegral_add_aux", "MeasureTheory.lintegral_add_compl", "MeasureTheory.lintegral_add_left", "MeasureTheory.lintegral_add_left'", "MeasureTheory.lintegral_add_measure", "MeasureTheory.lintegral_add_mul_meas_add_le_le_lintegral", "MeasureTheory.lintegral_add_right", "MeasureTheory.lintegral_add_right'", "MeasureTheory.lintegral_biUnion_finset\u2080", "MeasureTheory.lintegral_biUnion\u2080", "MeasureTheory.lintegral_coe_eq_integral", "MeasureTheory.lintegral_coe_le_coe_iff_integral_le", "MeasureTheory.lintegral_comp", "MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul", "MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul_of_measurable", "MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mul_of_measurable_of_sigmaFinite", "MeasureTheory.lintegral_comp_eq_lintegral_meas_lt_mul", "MeasureTheory.lintegral_congr", "MeasureTheory.lintegral_congr_ae", "MeasureTheory.lintegral_const", "MeasureTheory.lintegral_const_lt_top", "MeasureTheory.lintegral_const_mul", "MeasureTheory.lintegral_const_mul'", "MeasureTheory.lintegral_const_mul''", "MeasureTheory.lintegral_const_mul_le", "MeasureTheory.lintegral_count", "MeasureTheory.lintegral_count'", "MeasureTheory.lintegral_countable", "MeasureTheory.lintegral_countable'", "MeasureTheory.lintegral_dirac", "MeasureTheory.lintegral_dirac'", "MeasureTheory.lintegral_div_right_eq_self", "MeasureTheory.lintegral_edist_lt_top", "MeasureTheory.lintegral_edist_triangle", "MeasureTheory.lintegral_eq_iSup_eapprox_lintegral", "MeasureTheory.lintegral_eq_lintegral_meas_le", "MeasureTheory.lintegral_eq_lintegral_meas_lt", "MeasureTheory.lintegral_eq_lmarginal_univ", "MeasureTheory.lintegral_eq_nnreal", "MeasureTheory.lintegral_eq_of_lmarginal_eq", "MeasureTheory.lintegral_eq_zero_iff", "MeasureTheory.lintegral_eq_zero_iff'", "MeasureTheory.lintegral_eq_zero_of_isMulLeftInvariant", "MeasureTheory.lintegral_finset", "MeasureTheory.lintegral_finset_sum'", "MeasureTheory.lintegral_finset_sum_measure", "MeasureTheory.lintegral_fintype", "MeasureTheory.lintegral_fn_integral_sub", "MeasureTheory.lintegral_iInf'", "MeasureTheory.lintegral_iInf_ae", "MeasureTheory.lintegral_iInf_directed_of_measurable", "MeasureTheory.lintegral_iSup", "MeasureTheory.lintegral_iSup'", "MeasureTheory.lintegral_iSup_ae", "MeasureTheory.lintegral_iSup_directed", "MeasureTheory.lintegral_iSup_directed_of_measurable", "MeasureTheory.lintegral_iUnion_le", "MeasureTheory.lintegral_iUnion\u2080", "MeasureTheory.lintegral_image_eq_lintegral_abs_det_fderiv_mul", "MeasureTheory.lintegral_indicator", "MeasureTheory.lintegral_indicator_const", "MeasureTheory.lintegral_indicator_const_comp", "MeasureTheory.lintegral_indicator_const_le", "MeasureTheory.lintegral_indicator_const\u2080", "MeasureTheory.lintegral_indicator_le", "MeasureTheory.lintegral_indicator_one", "MeasureTheory.lintegral_indicator_one\u2080", "MeasureTheory.lintegral_indicator\u2080", "MeasureTheory.lintegral_insert", "MeasureTheory.lintegral_inter_add_diff", "MeasureTheory.lintegral_laverage", "MeasureTheory.lintegral_le_liminf_lintegral_of_forall_isOpen_measure_le_liminf_measure", "MeasureTheory.lintegral_le_meas", "MeasureTheory.lintegral_le_of_forall_fin_meas_le'", "MeasureTheory.lintegral_le_of_forall_fin_meas_le_of_measurable", "MeasureTheory.lintegral_le_of_lmarginal_le", "MeasureTheory.lintegral_liminf_le'", "MeasureTheory.lintegral_lintegral", "MeasureTheory.lintegral_lintegral_mul", "MeasureTheory.lintegral_lintegral_mul_inv", "MeasureTheory.lintegral_lintegral_symm", "MeasureTheory.lintegral_map", "MeasureTheory.lintegral_map'", "MeasureTheory.lintegral_map_equiv", "MeasureTheory.lintegral_map_le", "MeasureTheory.lintegral_max", "MeasureTheory.lintegral_mono", "MeasureTheory.lintegral_mono'", "MeasureTheory.lintegral_mono_ae", "MeasureTheory.lintegral_mono_fn'", "MeasureTheory.lintegral_mono_nnreal", "MeasureTheory.lintegral_mono_set", "MeasureTheory.lintegral_mono_set'", "MeasureTheory.lintegral_mul_const'", "MeasureTheory.lintegral_mul_const''", "MeasureTheory.lintegral_mul_const_le", "MeasureTheory.lintegral_mul_left_eq_self", "MeasureTheory.lintegral_mul_prod_lintegral_pow_le", "MeasureTheory.lintegral_mul_right_eq_self", "MeasureTheory.lintegral_nnnorm_add_right", "MeasureTheory.lintegral_nnnorm_condexpIndSMul_le", "MeasureTheory.lintegral_nnnorm_condexpL2_indicator_le_real", "MeasureTheory.lintegral_nnnorm_condexpL2_le", "MeasureTheory.lintegral_nnnorm_eq_lintegral_edist", "MeasureTheory.lintegral_nnnorm_eq_of_ae_nonneg", "MeasureTheory.lintegral_nnnorm_eq_of_nonneg", "MeasureTheory.lintegral_nnnorm_le_of_forall_fin_meas_integral_eq", "MeasureTheory.lintegral_nnnorm_neg", "MeasureTheory.lintegral_nnnorm_zero", "MeasureTheory.lintegral_norm_eq_lintegral_edist", "MeasureTheory.lintegral_ofReal_le_lintegral_nnnorm", "MeasureTheory.lintegral_of_isEmpty", "MeasureTheory.lintegral_one", "MeasureTheory.lintegral_pos_iff_support", "MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv", "MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_aux", "MeasureTheory.lintegral_prod", "MeasureTheory.lintegral_prod_lintegral_pow_le", "MeasureTheory.lintegral_prod_mul", "MeasureTheory.lintegral_prod_of_measurable", "MeasureTheory.lintegral_prod_swap", "MeasureTheory.lintegral_prod_symm", "MeasureTheory.lintegral_rnDeriv_mul", "MeasureTheory.lintegral_rpow_eq_lintegral_meas_le_mul", "MeasureTheory.lintegral_rpow_eq_lintegral_meas_lt_mul", "MeasureTheory.lintegral_rpow_nnnorm_eq_rpow_snorm'", "MeasureTheory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top", "MeasureTheory.lintegral_rpow_nnnorm_lt_top_of_snorm_lt_top", "MeasureTheory.lintegral_rw\u2081", "MeasureTheory.lintegral_singleton", "MeasureTheory.lintegral_singleton'", "MeasureTheory.lintegral_smul_measure", "MeasureTheory.lintegral_strict_mono", "MeasureTheory.lintegral_strict_mono_of_ae_le_of_ae_lt_on", "MeasureTheory.lintegral_strict_mono_of_ae_le_of_frequently_ae_lt", "MeasureTheory.lintegral_sub", "MeasureTheory.lintegral_sub'", "MeasureTheory.lintegral_sub_le'", "MeasureTheory.lintegral_subtype_comap", "MeasureTheory.lintegral_sum_measure", "MeasureTheory.lintegral_tendsto_of_monotone_of_nat", "MeasureTheory.lintegral_tendsto_of_tendsto_of_antitone", "MeasureTheory.lintegral_tendsto_of_tendsto_of_monotone", "MeasureTheory.lintegral_tilted", "MeasureTheory.lintegral_trim", "MeasureTheory.lintegral_trim_ae", "MeasureTheory.lintegral_tsum", "MeasureTheory.lintegral_union", "MeasureTheory.lintegral_union_le", "MeasureTheory.lintegral_unique", "MeasureTheory.lintegral_withDensity_eq_lintegral_mul", "MeasureTheory.lintegral_withDensity_eq_lintegral_mul_non_measurable", "MeasureTheory.lintegral_withDensity_eq_lintegral_mul_non_measurable\u2080", "MeasureTheory.lintegral_withDensity_eq_lintegral_mul\u2080", "MeasureTheory.lintegral_withDensity_eq_lintegral_mul\u2080'", "MeasureTheory.lintegral_withDensity_le_lintegral_mul", "MeasureTheory.lintegral_zero", "MeasureTheory.lintegral_zero_fun", "MeasureTheory.lintegral_zero_measure", "MeasureTheory.llr_def", "MeasureTheory.llr_smul_left", "MeasureTheory.llr_smul_right", "MeasureTheory.llr_tilted_left", "MeasureTheory.llr_tilted_right", "MeasureTheory.lmarginal_empty", "MeasureTheory.lmarginal_eq_of_subset", "MeasureTheory.lmarginal_erase", "MeasureTheory.lmarginal_erase'", "MeasureTheory.lmarginal_image", "MeasureTheory.lmarginal_insert", "MeasureTheory.lmarginal_insert'", "MeasureTheory.lmarginal_le_of_subset", "MeasureTheory.lmarginal_mono", "MeasureTheory.lmarginal_singleton", "MeasureTheory.lmarginal_union", "MeasureTheory.lmarginal_union'", "MeasureTheory.lmarginal_univ", "MeasureTheory.lmarginal_update_of_mem", "MeasureTheory.lmarginal_update_of_not_mem", "MeasureTheory.locallyIntegrableOn_const", "MeasureTheory.locallyIntegrableOn_iff", "MeasureTheory.locallyIntegrableOn_iff_locallyIntegrable_restrict", "MeasureTheory.locallyIntegrableOn_of_locallyIntegrable_restrict", "MeasureTheory.locallyIntegrableOn_univ", "MeasureTheory.locallyIntegrableOn_zero", "MeasureTheory.locallyIntegrable_comap", "MeasureTheory.locallyIntegrable_const", "MeasureTheory.locallyIntegrable_finset_sum", "MeasureTheory.locallyIntegrable_map_homeomorph", "MeasureTheory.log_rnDeriv_tilted_left_self", "MeasureTheory.lowerCrossingTime_le", "MeasureTheory.lowerCrossingTime_le_upperCrossingTime_succ", "MeasureTheory.lowerCrossingTime_lt_of_lt_upcrossingsBefore", "MeasureTheory.lowerCrossingTime_lt_upperCrossingTime", "MeasureTheory.lowerCrossingTime_mono", "MeasureTheory.lowerCrossingTime_stabilize", "MeasureTheory.lowerCrossingTime_stabilize'", "MeasureTheory.lpMeas.ae_eq_zero_of_forall_setIntegral_eq_zero", "MeasureTheory.lpMeas.ae_fin_strongly_measurable'", "MeasureTheory.lpMeasSubgroupToLpTrim_add", "MeasureTheory.lpMeasSubgroupToLpTrim_ae_eq", "MeasureTheory.lpMeasSubgroupToLpTrim_left_inv", "MeasureTheory.lpMeasSubgroupToLpTrim_neg", "MeasureTheory.lpMeasSubgroupToLpTrim_norm_map", "MeasureTheory.lpMeasSubgroupToLpTrim_right_inv", "MeasureTheory.lpMeasSubgroupToLpTrim_sub", "MeasureTheory.lpMeasSubgroup_coe", "MeasureTheory.lpMeasToLpTrimLie_symm_indicator", "MeasureTheory.lpMeasToLpTrimLie_symm_toLp", "MeasureTheory.lpMeasToLpTrim_smul", "MeasureTheory.lpMeas_coe", "MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq", "MeasureTheory.lpTrimToLpMeas_ae_eq", "MeasureTheory.map_div_right_eq_self", "MeasureTheory.map_eq_setLIntegral_pdf", "MeasureTheory.map_eq_withDensity_pdf", "MeasureTheory.map_mul_left_ae", "MeasureTheory.map_mul_left_eq_self", "MeasureTheory.map_mul_right_ae", "MeasureTheory.map_mul_right_eq_self", "MeasureTheory.map_withDensity_abs_det_fderiv_eq_addHaar", "MeasureTheory.martingalePart_add_ae_eq", "MeasureTheory.martingalePart_add_predictablePart", "MeasureTheory.martingalePart_bdd_difference", "MeasureTheory.martingalePart_eq_sum", "MeasureTheory.martingale_condexp", "MeasureTheory.martingale_const_fun", "MeasureTheory.martingale_iff", "MeasureTheory.martingale_martingalePart", "MeasureTheory.martingale_nat", "MeasureTheory.martingale_of_condexp_sub_eq_zero_nat", "MeasureTheory.martingale_of_setIntegral_eq_succ", "MeasureTheory.martingale_zero", "MeasureTheory.maximal_ineq", "MeasureTheory.meas_ge_le_lintegral_div", "MeasureTheory.meas_ge_le_mul_pow_snorm", "MeasureTheory.meas_le_ae_eq_meas_lt", "MeasureTheory.meas_le_lintegral\u2080", "MeasureTheory.meas_le_of_le_of_forall_le_meas_thickening_add", "MeasureTheory.meas_snormEssSup_lt", "MeasureTheory.measurableCylinders.eq_cylinder", "MeasureTheory.measurableCylinders.measurableSet", "MeasureTheory.measurableEmbedding_embeddingReal", "MeasureTheory.measurableEquiv_range_coe_nat_of_infinite_of_countable", "MeasureTheory.measurableSet_exists_tendsto", "MeasureTheory.measurableSet_of_filtration", "MeasureTheory.measurableSet_of_null", "MeasureTheory.measurableSet_range_of_continuous_injective", "MeasureTheory.measurableSet_sigmaFiniteSet", "MeasureTheory.measurableSet_tendsto_fun", "MeasureTheory.measurableSet_toMeasurable", "MeasureTheory.measurable_densityToFinite", "MeasureTheory.measurable_llr", "MeasureTheory.measurable_measure_mul_right", "MeasureTheory.measurable_pdf", "MeasureTheory.measurable_spanningSets", "MeasureTheory.measurable_spanningSetsIndex", "MeasureTheory.measurable_stoppedValue", "MeasureTheory.measurable_uncurry_of_continuous_of_measurable", "MeasureTheory.measurablySeparable_range_of_disjoint", "MeasureTheory.measurePreserving_div_right", "MeasureTheory.measurePreserving_finTwoArrow", "MeasureTheory.measurePreserving_finTwoArrow_vec", "MeasureTheory.measurePreserving_mul_left", "MeasureTheory.measurePreserving_mul_prod_inv", "MeasureTheory.measurePreserving_mul_prod_inv_right", "MeasureTheory.measurePreserving_mul_right", "MeasureTheory.measurePreserving_piCongrLeft", "MeasureTheory.measurePreserving_piEquivPiSubtypeProd", "MeasureTheory.measurePreserving_piFinSuccAbove", "MeasureTheory.measurePreserving_piFinTwo", "MeasureTheory.measurePreserving_piUnique", "MeasureTheory.measurePreserving_pi_empty", "MeasureTheory.measurePreserving_prod_div", "MeasureTheory.measurePreserving_prod_div_swap", "MeasureTheory.measurePreserving_prod_mul_right", "MeasureTheory.measurePreserving_prod_mul_swap_right", "MeasureTheory.measurePreserving_smul", "MeasureTheory.measurePreserving_sumPiEquivProdPi", "MeasureTheory.measurePreserving_sumPiEquivProdPi_symm", "MeasureTheory.measureUnivNNReal_eq_zero", "MeasureTheory.measureUnivNNReal_pos", "MeasureTheory.measure_add_diff", "MeasureTheory.measure_add_measure_compl\u2080", "MeasureTheory.measure_average_le_pos", "MeasureTheory.measure_ball_lt_top", "MeasureTheory.measure_biUnion", "MeasureTheory.measure_biUnion_eq_iSup", "MeasureTheory.measure_biUnion_finset", "MeasureTheory.measure_biUnion_finset_le", "MeasureTheory.measure_biUnion_finset\u2080", "MeasureTheory.measure_biUnion_le", "MeasureTheory.measure_biUnion_lt_top", "MeasureTheory.measure_biUnion_null_iff", "MeasureTheory.measure_biUnion_toMeasurable", "MeasureTheory.measure_biUnion\u2080", "MeasureTheory.measure_compl", "MeasureTheory.measure_compl_le_add_iff", "MeasureTheory.measure_compl_le_add_of_le_add", "MeasureTheory.measure_compl\u2080", "MeasureTheory.measure_congr", "MeasureTheory.measure_diff", "MeasureTheory.measure_diff'", "MeasureTheory.measure_diff_add_inter", "MeasureTheory.measure_diff_le_iff_le_add", "MeasureTheory.measure_diff_lt_of_lt_add", "MeasureTheory.measure_diff_null", "MeasureTheory.measure_empty", "MeasureTheory.measure_eq_div_smul", "MeasureTheory.measure_eq_extend", "MeasureTheory.measure_eq_iInf", "MeasureTheory.measure_eq_iInf'", "MeasureTheory.measure_eq_inducedOuterMeasure", "MeasureTheory.measure_eq_measure_of_between_null_diff", "MeasureTheory.measure_eq_measure_of_null_diff", "MeasureTheory.measure_eq_measure_smaller_of_between_null_diff", "MeasureTheory.measure_eq_top_iff_of_symmDiff", "MeasureTheory.measure_eq_top_of_lintegral_ne_top", "MeasureTheory.measure_eq_top_of_setLintegral_ne_top", "MeasureTheory.measure_eq_trim", "MeasureTheory.measure_eq_zero_iff_eq_empty_of_smulInvariant", "MeasureTheory.measure_eq_zero_of_trim_eq_zero", "MeasureTheory.measure_eq_zero_or_top_of_subset_compl_sigmaFiniteSet", "MeasureTheory.measure_iInter_eq_iInf", "MeasureTheory.measure_iInter_eq_iInf'", "MeasureTheory.measure_iUnion", "MeasureTheory.measure_iUnion_congr_of_subset", "MeasureTheory.measure_iUnion_eq_iSup", "MeasureTheory.measure_iUnion_eq_iSup'", "MeasureTheory.measure_iUnion_fintype_le", "MeasureTheory.measure_iUnion_le", "MeasureTheory.measure_iUnion_null_iff", "MeasureTheory.measure_iUnion_null_iff'", "MeasureTheory.measure_iUnion_of_tendsto_zero", "MeasureTheory.measure_iUnion\u2080", "MeasureTheory.measure_if", "MeasureTheory.measure_integral_le_pos", "MeasureTheory.measure_inter_add_diff", "MeasureTheory.measure_inter_add_diff\u2080", "MeasureTheory.measure_inter_conull", "MeasureTheory.measure_inter_conull'", "MeasureTheory.measure_inter_lt_top_of_left_ne_top", "MeasureTheory.measure_inter_null_of_null_right", "MeasureTheory.measure_inv_null", "MeasureTheory.measure_isClosed_eq_of_forall_lintegral_eq_of_isFiniteMeasure", "MeasureTheory.measure_isOpen_pos_of_smulInvariant_of_compact_ne_zero", "MeasureTheory.measure_laverage_le_pos", "MeasureTheory.measure_le_average_pos", "MeasureTheory.measure_le_eq_lt", "MeasureTheory.measure_le_integral_pos", "MeasureTheory.measure_le_inter_add_diff", "MeasureTheory.measure_le_laverage_pos", "MeasureTheory.measure_le_lintegral_pos", "MeasureTheory.measure_le_setAverage_pos", "MeasureTheory.measure_le_setLaverage_pos", "MeasureTheory.measure_liminf_eq_zero", "MeasureTheory.measure_limsup_eq_zero", "MeasureTheory.measure_lintegral_div_measure", "MeasureTheory.measure_lintegral_le_pos", "MeasureTheory.measure_lt_one_eq_integral_div_gamma", "MeasureTheory.measure_lt_top", "MeasureTheory.measure_lt_top_of_isCompact_of_isMulLeftInvariant", "MeasureTheory.measure_lt_top_of_isCompact_of_isMulLeftInvariant'", "MeasureTheory.measure_lt_top_of_subset", "MeasureTheory.measure_map_restrict_apply", "MeasureTheory.measure_mono", "MeasureTheory.measure_mono_ae", "MeasureTheory.measure_mono_null", "MeasureTheory.measure_mono_null_ae", "MeasureTheory.measure_mono_top", "MeasureTheory.measure_mul_closure_one", "MeasureTheory.measure_mul_laverage", "MeasureTheory.measure_mul_lintegral_eq", "MeasureTheory.measure_mul_measure_eq", "MeasureTheory.measure_mul_right_null", "MeasureTheory.measure_mul_setLaverage", "MeasureTheory.measure_ne_top", "MeasureTheory.measure_ne_zero_iff_nonempty_of_isMulLeftInvariant", "MeasureTheory.measure_null_iff_singleton", "MeasureTheory.measure_null_of_locally_null", "MeasureTheory.measure_of_cont_bdd_of_tendsto_filter_indicator", "MeasureTheory.measure_of_cont_bdd_of_tendsto_indicator", "MeasureTheory.measure_pos_iff_nonempty_of_isMulLeftInvariant", "MeasureTheory.measure_pos_iff_nonempty_of_smulInvariant", "MeasureTheory.measure_preimage_eq_zero_iff_of_countable", "MeasureTheory.measure_preimage_mul", "MeasureTheory.measure_preimage_mul_right", "MeasureTheory.measure_sUnion", "MeasureTheory.measure_sUnion_null_iff", "MeasureTheory.measure_sUnion\u2080", "MeasureTheory.measure_setAverage_le_pos", "MeasureTheory.measure_setLaverage_le_pos", "MeasureTheory.measure_setOf_frequently_eq_zero", "MeasureTheory.measure_smul", "MeasureTheory.measure_smul_average", "MeasureTheory.measure_smul_setAverage", "MeasureTheory.measure_spanningSets_lt_top", "MeasureTheory.measure_symmDiff_eq", "MeasureTheory.measure_symmDiff_eq_zero_iff", "MeasureTheory.measure_symmDiff_le", "MeasureTheory.measure_toMeasurable", "MeasureTheory.measure_toMeasurable_union", "MeasureTheory.measure_union", "MeasureTheory.measure_union'", "MeasureTheory.measure_union_add_inter", "MeasureTheory.measure_union_add_inter'", "MeasureTheory.measure_union_add_inter\u2080", "MeasureTheory.measure_union_add_inter\u2080'", "MeasureTheory.measure_union_congr_of_subset", "MeasureTheory.measure_union_eq_top_iff", "MeasureTheory.measure_union_le", "MeasureTheory.measure_union_lt_top_iff", "MeasureTheory.measure_union_ne_top", "MeasureTheory.measure_union_null", "MeasureTheory.measure_union_null_iff", "MeasureTheory.measure_union_toMeasurable", "MeasureTheory.measure_union\u2080", "MeasureTheory.measure_union\u2080'", "MeasureTheory.measure_union\u2080_aux", "MeasureTheory.measure_unitBall_eq_integral_div_gamma", "MeasureTheory.measure_univ_of_isMulLeftInvariant", "MeasureTheory.measure_zero_iff_ae_nmem", "MeasureTheory.mem_ae_dirac_iff", "MeasureTheory.mem_ae_iff", "MeasureTheory.mem_ae_map_iff", "MeasureTheory.mem_cylinder", "MeasureTheory.mem_disjointed_spanningSetsIndex", "MeasureTheory.mem_fundamentalFrontier", "MeasureTheory.mem_fundamentalInterior", "MeasureTheory.mem_generateSetAlgebra_elim", "MeasureTheory.mem_lpMeasSubgroup_iff_aeStronglyMeasurable'", "MeasureTheory.mem_lpMeasSubgroup_toLp_of_trim", "MeasureTheory.mem_lpMeas_iff_aeStronglyMeasurable'", "MeasureTheory.mem_lpMeas_indicatorConstLp", "MeasureTheory.mem_lpMeas_self", "MeasureTheory.mem_map_restrict_ae_iff", "MeasureTheory.mem_measurableCylinders", "MeasureTheory.mem_spanningSetsIndex", "MeasureTheory.mem_spanningSets_of_index_le", "MeasureTheory.mem_\u21121_toReal_of_lintegral_ne_top", "MeasureTheory.mem\u2112p_add_of_disjoint", "MeasureTheory.mem\u2112p_congr_ae", "MeasureTheory.mem\u2112p_const", "MeasureTheory.mem\u2112p_const_iff", "MeasureTheory.mem\u2112p_finset_sum", "MeasureTheory.mem\u2112p_finset_sum'", "MeasureTheory.mem\u2112p_indicator_const", "MeasureTheory.mem\u2112p_indicator_iff_restrict", "MeasureTheory.mem\u2112p_map_measure_iff", "MeasureTheory.mem\u2112p_norm_iff", "MeasureTheory.mem\u2112p_norm_rpow_iff", "MeasureTheory.mem\u2112p_of_mem\u2112p_trim", "MeasureTheory.mem\u2112p_one_iff_integrable", "MeasureTheory.mem\u2112p_re_im_iff", "MeasureTheory.mem\u2112p_stoppedProcess", "MeasureTheory.mem\u2112p_stoppedProcess_of_mem_finset", "MeasureTheory.mem\u2112p_stoppedValue", "MeasureTheory.mem\u2112p_stoppedValue_of_mem_finset", "MeasureTheory.mem\u2112p_top_const", "MeasureTheory.mem\u2112p_top_of_bound", "MeasureTheory.mem\u2112p_trim_of_mem_lpMeasSubgroup", "MeasureTheory.mem\u2112p_two_iff_integrable_sq", "MeasureTheory.mem\u2112p_two_iff_integrable_sq_norm", "MeasureTheory.mem\u2112p_zero_iff_aestronglyMeasurable", "MeasureTheory.monotone_lintegral", "MeasureTheory.monotone_spanningSets", "MeasureTheory.mul_integral_upcrossingsBefore_le_integral_pos_part_aux", "MeasureTheory.mul_le_addHaar_image_of_lt_det", "MeasureTheory.mul_meas_ge_le_integral_of_nonneg", "MeasureTheory.mul_meas_ge_le_lintegral\u2080", "MeasureTheory.mul_meas_ge_le_pow_snorm", "MeasureTheory.mul_meas_ge_le_pow_snorm'", "MeasureTheory.mul_upcrossingsBefore_le", "MeasureTheory.mutuallySingular_dirac", "MeasureTheory.neg_llr", "MeasureTheory.nndist_integral_add_measure_le_lintegral", "MeasureTheory.nonempty_inter_of_measure_lt_add", "MeasureTheory.nonempty_inter_of_measure_lt_add'", "MeasureTheory.nonempty_of_measure_ne_zero", "MeasureTheory.norm_Lp_toLp_restrict_le", "MeasureTheory.norm_condexpIndL1Fin_le", "MeasureTheory.norm_condexpIndL1_le", "MeasureTheory.norm_condexpInd_le", "MeasureTheory.norm_condexpL2_coe_le", "MeasureTheory.norm_condexpL2_le", "MeasureTheory.norm_condexpL2_le_one", "MeasureTheory.norm_indicatorConstLp", "MeasureTheory.norm_indicatorConstLp'", "MeasureTheory.norm_indicatorConstLp_le", "MeasureTheory.norm_indicatorConstLp_top", "MeasureTheory.norm_integral_le_integral_norm", "MeasureTheory.norm_integral_le_lintegral_norm", "MeasureTheory.norm_integral_le_of_norm_le", "MeasureTheory.norm_integral_le_of_norm_le_const", "MeasureTheory.norm_setIntegral_le_of_norm_le_const", "MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae", "MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae'", "MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae''", "MeasureTheory.norm_setToFun_le", "MeasureTheory.norm_setToFun_le'", "MeasureTheory.norm_setToFun_le_mul_norm'", "MeasureTheory.norm_stoppedValue_leastGE_le", "MeasureTheory.not_frequently_of_upcrossings_lt_top", "MeasureTheory.not_mem_of_lt_hitting", "MeasureTheory.not_tendsto_diracProba_of_not_tendsto", "MeasureTheory.nullMeasurableSet_eq", "MeasureTheory.nullMeasurableSet_insert", "MeasureTheory.nullMeasurableSet_singleton", "MeasureTheory.nullMeasurableSet_toMeasurable", "MeasureTheory.null_iff_of_isMulLeftInvariant", "MeasureTheory.ofReal_average", "MeasureTheory.ofReal_integral_eq_lintegral_ofReal", "MeasureTheory.ofReal_integral_norm_eq_lintegral_nnnorm", "MeasureTheory.ofReal_setAverage", "MeasureTheory.ofReal_setIntegral_one_of_measure_ne_top", "MeasureTheory.ofReal_toReal_ae_eq", "MeasureTheory.one_le_div_ae", "MeasureTheory.one_le_prob_iff", "MeasureTheory.pairwise_disjoint_fundamentalInterior", "MeasureTheory.pdf.IsUniform.absolutelyContinuous", "MeasureTheory.pdf.IsUniform.aemeasurable", "MeasureTheory.pdf.IsUniform.cond", "MeasureTheory.pdf.IsUniform.hasPDF", "MeasureTheory.pdf.IsUniform.integral_eq", "MeasureTheory.pdf.IsUniform.isProbabilityMeasure", "MeasureTheory.pdf.IsUniform.measure_preimage", "MeasureTheory.pdf.IsUniform.mul_pdf_integrable", "MeasureTheory.pdf.IsUniform.pdf_eq", "MeasureTheory.pdf.IsUniform.pdf_eq_zero_of_measure_eq_zero_or_top", "MeasureTheory.pdf.IsUniform.pdf_toReal_ae_eq", "MeasureTheory.pdf.IsUniform.toMeasurable", "MeasureTheory.pdf.IsUniform.toMeasurable_iff", "MeasureTheory.pdf.ae_lt_top", "MeasureTheory.pdf.congr", "MeasureTheory.pdf.eq_of_map_eq_withDensity", "MeasureTheory.pdf.hasFiniteIntegral_mul", "MeasureTheory.pdf.indepFun_iff_pdf_prod_eq_pdf_mul_pdf", "MeasureTheory.pdf.integrable_pdf_smul_iff", "MeasureTheory.pdf.integral_mul_eq_integral", "MeasureTheory.pdf.integral_pdf_smul", "MeasureTheory.pdf.lintegral_eq_measure_univ", "MeasureTheory.pdf.lintegral_pdf_mul", "MeasureTheory.pdf.ofReal_toReal_ae_eq", "MeasureTheory.pdf.quasiMeasurePreserving_hasPDF", "MeasureTheory.pdf.uniformPDF_eq_pdf", "MeasureTheory.pdf.uniformPDF_ite", "MeasureTheory.pdf_def", "MeasureTheory.pdf_of_not_aemeasurable", "MeasureTheory.pdf_of_not_haveLebesgueDecomposition", "MeasureTheory.piPremeasure_pi", "MeasureTheory.piPremeasure_pi'", "MeasureTheory.piPremeasure_pi_eval", "MeasureTheory.posConvolution_eq_convolution_indicator", "MeasureTheory.pow_mul_meas_ge_le_snorm", "MeasureTheory.predictablePart_add_ae_eq", "MeasureTheory.predictablePart_bdd_difference", "MeasureTheory.predictablePart_zero", "MeasureTheory.preimage_spanningSetsIndex_singleton", "MeasureTheory.prob_add_prob_compl", "MeasureTheory.prob_compl_eq_one_iff", "MeasureTheory.prob_compl_eq_one_iff\u2080", "MeasureTheory.prob_compl_eq_one_sub", "MeasureTheory.prob_compl_eq_one_sub\u2080", "MeasureTheory.prob_compl_eq_zero_iff", "MeasureTheory.prob_compl_eq_zero_iff\u2080", "MeasureTheory.prob_compl_le_one_sub_of_le_prob", "MeasureTheory.prob_compl_lt_one_sub_of_lt_prob", "MeasureTheory.prob_le_one", "MeasureTheory.progMeasurable_const", "MeasureTheory.progMeasurable_min_stopping_time", "MeasureTheory.progMeasurable_of_tendsto'", "MeasureTheory.quasiMeasurePreserving_div_left", "MeasureTheory.quasiMeasurePreserving_div_left_of_right_invariant", "MeasureTheory.quasiMeasurePreserving_div_of_right_invariant", "MeasureTheory.quasiMeasurePreserving_inv", "MeasureTheory.quasiMeasurePreserving_inv_of_right_invariant", "MeasureTheory.quasiMeasurePreserving_mul_left", "MeasureTheory.quasiMeasurePreserving_mul_right", "MeasureTheory.regular_inv_iff", "MeasureTheory.restrict_Ico_eq_restrict_Icc", "MeasureTheory.restrict_Ico_eq_restrict_Ioc", "MeasureTheory.restrict_Iio_eq_restrict_Iic", "MeasureTheory.restrict_Ioi_eq_restrict_Ici", "MeasureTheory.restrict_Ioo_eq_restrict_Icc", "MeasureTheory.restrict_Ioo_eq_restrict_Ico", "MeasureTheory.restrict_Ioo_eq_restrict_Ioc", "MeasureTheory.restrict_compl_sigmaFiniteSet", "MeasureTheory.restrict_compl_sigmaFiniteSet_eq_zero_or_top", "MeasureTheory.restrict_dirac", "MeasureTheory.restrict_dirac'", "MeasureTheory.restrict_map_withDensity_abs_det_fderiv_eq_addHaar", "MeasureTheory.restrict_trim", "MeasureTheory.restrict_withDensity", "MeasureTheory.restrict_withDensity'", "MeasureTheory.rnDeriv_ae_eq_condexp", "MeasureTheory.rnDeriv_tilted_left", "MeasureTheory.rnDeriv_tilted_left_self", "MeasureTheory.rnDeriv_tilted_right", "MeasureTheory.sFiniteSeq_absolutelyContinuous_toFinite", "MeasureTheory.sFiniteSeq_absolutelyContinuous_toFiniteAux", "MeasureTheory.sFiniteSeq_zero", "MeasureTheory.sFinite_withDensity_of_measurable", "MeasureTheory.sFinite_withDensity_of_sigmaFinite_of_measurable", "MeasureTheory.sdiff_fundamentalFrontier", "MeasureTheory.sdiff_fundamentalInterior", "MeasureTheory.self_mem_ae_restrict", "MeasureTheory.self_subset_generateSetAlgebra", "MeasureTheory.setAverage_congr", "MeasureTheory.setAverage_congr_fun", "MeasureTheory.setAverage_const", "MeasureTheory.setAverage_eq", "MeasureTheory.setAverage_eq'", "MeasureTheory.setIntegral_abs_condexp_le", "MeasureTheory.setIntegral_condexp", "MeasureTheory.setIntegral_condexpL1", "MeasureTheory.setIntegral_condexpL1CLM", "MeasureTheory.setIntegral_condexpL1CLM_of_measure_ne_top", "MeasureTheory.setIntegral_condexpL2_indicator", "MeasureTheory.setIntegral_congr", "MeasureTheory.setIntegral_congr_ae", "MeasureTheory.setIntegral_congr_ae\u2080", "MeasureTheory.setIntegral_congr_set_ae", "MeasureTheory.setIntegral_congr\u2080", "MeasureTheory.setIntegral_const", "MeasureTheory.setIntegral_dirac", "MeasureTheory.setIntegral_dirac'", "MeasureTheory.setIntegral_eq_integral_of_ae_compl_eq_zero", "MeasureTheory.setIntegral_eq_integral_of_forall_compl_eq_zero", "MeasureTheory.setIntegral_eq_of_subset_of_ae_diff_eq_zero", "MeasureTheory.setIntegral_eq_of_subset_of_ae_diff_eq_zero_aux", "MeasureTheory.setIntegral_eq_zero_iff_of_nonneg_ae", "MeasureTheory.setIntegral_eq_zero_of_ae_eq_zero", "MeasureTheory.setIntegral_eq_zero_of_forall_eq_zero", "MeasureTheory.setIntegral_ge_of_const_le", "MeasureTheory.setIntegral_gt_gt", "MeasureTheory.setIntegral_indicator", "MeasureTheory.setIntegral_indicatorConstLp", "MeasureTheory.setIntegral_le_nonneg", "MeasureTheory.setIntegral_map", "MeasureTheory.setIntegral_map_equiv", "MeasureTheory.setIntegral_mono_ae", "MeasureTheory.setIntegral_mono_ae_restrict", "MeasureTheory.setIntegral_mono_on", "MeasureTheory.setIntegral_mono_on_ae", "MeasureTheory.setIntegral_mono_set", "MeasureTheory.setIntegral_neg_eq_setIntegral_nonpos", "MeasureTheory.setIntegral_nonneg", "MeasureTheory.setIntegral_nonneg_of_ae_restrict", "MeasureTheory.setIntegral_nonpos", "MeasureTheory.setIntegral_nonpos_ae", "MeasureTheory.setIntegral_nonpos_le", "MeasureTheory.setIntegral_nonpos_of_ae", "MeasureTheory.setIntegral_pos_iff_support_of_nonneg_ae", "MeasureTheory.setIntegral_prod", "MeasureTheory.setIntegral_prod_mul", "MeasureTheory.setIntegral_tilted", "MeasureTheory.setIntegral_tilted'", "MeasureTheory.setIntegral_trim", "MeasureTheory.setLIntegral_congr", "MeasureTheory.setLIntegral_congr_fun", "MeasureTheory.setLIntegral_const", "MeasureTheory.setLIntegral_const_lt_top", "MeasureTheory.setLIntegral_dirac", "MeasureTheory.setLIntegral_dirac'", "MeasureTheory.setLIntegral_empty", "MeasureTheory.setLIntegral_eq_const", "MeasureTheory.setLIntegral_eq_of_support_subset", "MeasureTheory.setLIntegral_le_lintegral", "MeasureTheory.setLIntegral_lt_top_of_bddAbove", "MeasureTheory.setLIntegral_map", "MeasureTheory.setLIntegral_max", "MeasureTheory.setLIntegral_measure_zero", "MeasureTheory.setLIntegral_mono", "MeasureTheory.setLIntegral_mono'", "MeasureTheory.setLIntegral_mono_ae", "MeasureTheory.setLIntegral_mono_ae'", "MeasureTheory.setLIntegral_nnnorm_condexpIndSMul_le", "MeasureTheory.setLIntegral_nnnorm_condexpL2_indicator_le", "MeasureTheory.setLIntegral_one", "MeasureTheory.setLIntegral_pdf_le_map", "MeasureTheory.setLIntegral_rnDeriv_mul", "MeasureTheory.setLIntegral_smul_measure", "MeasureTheory.setLIntegral_strict_mono", "MeasureTheory.setLIntegral_subtype", "MeasureTheory.setLIntegral_tilted", "MeasureTheory.setLIntegral_tilted'", "MeasureTheory.setLIntegral_univ", "MeasureTheory.setLIntegral_withDensity_eq_lintegral_mul\u2080", "MeasureTheory.setLIntegral_withDensity_eq_lintegral_mul\u2080'", "MeasureTheory.setLIntegral_withDensity_eq_setLIntegral_mul", "MeasureTheory.setLIntegral_withDensity_eq_setLIntegral_mul_non_measurable\u2080", "MeasureTheory.setLaverage_congr", "MeasureTheory.setLaverage_congr_fun", "MeasureTheory.setLaverage_const", "MeasureTheory.setLaverage_eq", "MeasureTheory.setLaverage_eq'", "MeasureTheory.setLaverage_lt_top", "MeasureTheory.setLintegral_eq_top_of_measure_eq_top_ne_zero", "MeasureTheory.setLintegral_pos_iff", "MeasureTheory.setToFun_add", "MeasureTheory.setToFun_add_left", "MeasureTheory.setToFun_add_left'", "MeasureTheory.setToFun_congr_ae", "MeasureTheory.setToFun_congr_left", "MeasureTheory.setToFun_congr_left'", "MeasureTheory.setToFun_congr_measure", "MeasureTheory.setToFun_congr_measure_of_add_left", "MeasureTheory.setToFun_congr_measure_of_add_right", "MeasureTheory.setToFun_congr_measure_of_integrable", "MeasureTheory.setToFun_congr_smul_measure", "MeasureTheory.setToFun_const", "MeasureTheory.setToFun_eq", "MeasureTheory.setToFun_finset_sum'", "MeasureTheory.setToFun_indicator_const", "MeasureTheory.setToFun_measure_zero", "MeasureTheory.setToFun_measure_zero'", "MeasureTheory.setToFun_mono", "MeasureTheory.setToFun_mono_left", "MeasureTheory.setToFun_mono_left'", "MeasureTheory.setToFun_neg", "MeasureTheory.setToFun_nonneg", "MeasureTheory.setToFun_smul", "MeasureTheory.setToFun_smul_left", "MeasureTheory.setToFun_smul_left'", "MeasureTheory.setToFun_sub", "MeasureTheory.setToFun_toL1", "MeasureTheory.setToFun_top_smul_measure", "MeasureTheory.setToFun_undef", "MeasureTheory.setToFun_zero", "MeasureTheory.setToFun_zero_left", "MeasureTheory.setToFun_zero_left'", "MeasureTheory.sfinite_sum_of_countable", "MeasureTheory.sigmaFiniteTrim_mono", "MeasureTheory.sigmaFinite_bot_iff", "MeasureTheory.sigmaFinite_iff", "MeasureTheory.sigmaFinite_of_measure_compl_sigmaFiniteSet_eq_zero", "MeasureTheory.sigmaFinite_trim_bot_iff", "MeasureTheory.smulInvariantMeasure_map", "MeasureTheory.smulInvariantMeasure_tfae", "MeasureTheory.smul_ae_eq_self_of_mem_zpowers", "MeasureTheory.smul_convolution", "MeasureTheory.smul_extend", "MeasureTheory.smul_le_stoppedValue_hitting", "MeasureTheory.snorm'_add_le", "MeasureTheory.snorm'_add_le_of_le_one", "MeasureTheory.snorm'_congr_ae", "MeasureTheory.snorm'_congr_norm_ae", "MeasureTheory.snorm'_const", "MeasureTheory.snorm'_const'", "MeasureTheory.snorm'_const_of_isProbabilityMeasure", "MeasureTheory.snorm'_const_smul", "MeasureTheory.snorm'_eq_zero_of_ae_zero'", "MeasureTheory.snorm'_exponent_zero", "MeasureTheory.snorm'_le_nnreal_smul_snorm'_of_ae_le_mul", "MeasureTheory.snorm'_le_snorm'_mul_rpow_measure_univ", "MeasureTheory.snorm'_le_snorm'_mul_snorm'", "MeasureTheory.snorm'_le_snorm'_of_exponent_le", "MeasureTheory.snorm'_le_snormEssSup", "MeasureTheory.snorm'_le_snormEssSup_mul_rpow_measure_univ", "MeasureTheory.snorm'_lt_top_of_snorm'_lt_top_of_exponent_le", "MeasureTheory.snorm'_measure_zero_of_exponent_zero", "MeasureTheory.snorm'_measure_zero_of_neg", "MeasureTheory.snorm'_mono_ae", "MeasureTheory.snorm'_mono_measure", "MeasureTheory.snorm'_mono_nnnorm_ae", "MeasureTheory.snorm'_neg", "MeasureTheory.snorm'_norm", "MeasureTheory.snorm'_norm_rpow", "MeasureTheory.snorm'_smul_le_mul_snorm'", "MeasureTheory.snorm'_smul_measure", "MeasureTheory.snorm'_trim", "MeasureTheory.snorm'_zero", "MeasureTheory.snorm'_zero'", "MeasureTheory.snormEssSup_add_le", "MeasureTheory.snormEssSup_congr_ae", "MeasureTheory.snormEssSup_const", "MeasureTheory.snormEssSup_const_smul", "MeasureTheory.snormEssSup_const_smul_le", "MeasureTheory.snormEssSup_eq_zero_iff", "MeasureTheory.snormEssSup_indicator_const_eq", "MeasureTheory.snormEssSup_indicator_const_le", "MeasureTheory.snormEssSup_indicator_eq_snormEssSup_restrict", "MeasureTheory.snormEssSup_indicator_le", "MeasureTheory.snormEssSup_le_nnreal_smul_snormEssSup_of_ae_le_mul", "MeasureTheory.snormEssSup_le_of_ae_nnnorm_bound", "MeasureTheory.snormEssSup_lt_top_of_ae_bound", "MeasureTheory.snormEssSup_lt_top_of_ae_nnnorm_bound", "MeasureTheory.snormEssSup_map_measure", "MeasureTheory.snormEssSup_measure_zero", "MeasureTheory.snormEssSup_mono_measure", "MeasureTheory.snormEssSup_piecewise", "MeasureTheory.snormEssSup_smul_measure", "MeasureTheory.snormEssSup_trim", "MeasureTheory.snormEssSup_zero", "MeasureTheory.snorm_add_le", "MeasureTheory.snorm_add_le'", "MeasureTheory.snorm_add_lt_top", "MeasureTheory.snorm_condexpL2_le", "MeasureTheory.snorm_congr_ae", "MeasureTheory.snorm_congr_nnnorm_ae", "MeasureTheory.snorm_congr_norm_ae", "MeasureTheory.snorm_const", "MeasureTheory.snorm_const'", "MeasureTheory.snorm_const_lt_top_iff", "MeasureTheory.snorm_const_smul", "MeasureTheory.snorm_const_smul_le", "MeasureTheory.snorm_eq_lintegral_rpow_nnnorm", "MeasureTheory.snorm_eq_snorm'", "MeasureTheory.snorm_eq_zero_and_zero_of_ae_le_mul_neg", "MeasureTheory.snorm_eq_zero_iff", "MeasureTheory.snorm_exponent_top", "MeasureTheory.snorm_exponent_zero", "MeasureTheory.snorm_indicator_const", "MeasureTheory.snorm_indicator_const'", "MeasureTheory.snorm_indicator_const_le", "MeasureTheory.snorm_indicator_const\u2080", "MeasureTheory.snorm_indicator_eq_snorm_restrict", "MeasureTheory.snorm_indicator_le", "MeasureTheory.snorm_indicator_le_of_bound", "MeasureTheory.snorm_indicator_sub_indicator", "MeasureTheory.snorm_le_add_measure_left", "MeasureTheory.snorm_le_add_measure_right", "MeasureTheory.snorm_le_mul_snorm_of_ae_le_mul", "MeasureTheory.snorm_le_nnreal_smul_snorm_of_ae_le_mul", "MeasureTheory.snorm_le_of_ae_bound", "MeasureTheory.snorm_le_of_ae_nnnorm_bound", "MeasureTheory.snorm_le_snorm_fderiv", "MeasureTheory.snorm_le_snorm_fderiv_of_eq", "MeasureTheory.snorm_le_snorm_fderiv_of_eq_inner", "MeasureTheory.snorm_le_snorm_fderiv_of_le", "MeasureTheory.snorm_le_snorm_fderiv_one", "MeasureTheory.snorm_le_snorm_mul_rpow_measure_univ", "MeasureTheory.snorm_le_snorm_mul_snorm'_of_norm", "MeasureTheory.snorm_le_snorm_mul_snorm_of_nnnorm", "MeasureTheory.snorm_le_snorm_mul_snorm_top", "MeasureTheory.snorm_le_snorm_of_exponent_le", "MeasureTheory.snorm_le_snorm_top_mul_snorm", "MeasureTheory.snorm_lt_top_iff_lintegral_rpow_nnnorm_lt_top", "MeasureTheory.snorm_map_measure", "MeasureTheory.snorm_measure_zero", "MeasureTheory.snorm_mono", "MeasureTheory.snorm_mono_ae_real", "MeasureTheory.snorm_mono_measure", "MeasureTheory.snorm_mono_nnnorm_ae", "MeasureTheory.snorm_mono_real", "MeasureTheory.snorm_neg", "MeasureTheory.snorm_nnreal_eq_lintegral", "MeasureTheory.snorm_nnreal_pow_eq_lintegral", "MeasureTheory.snorm_norm", "MeasureTheory.snorm_norm_rpow", "MeasureTheory.snorm_one_add_measure", "MeasureTheory.snorm_one_condexp_le_snorm", "MeasureTheory.snorm_one_eq_lintegral_nnnorm", "MeasureTheory.snorm_one_le_of_le", "MeasureTheory.snorm_one_le_of_le'", "MeasureTheory.snorm_one_smul_measure", "MeasureTheory.snorm_restrict_eq_of_support_subset", "MeasureTheory.snorm_restrict_le", "MeasureTheory.snorm_smul_le_mul_snorm", "MeasureTheory.snorm_smul_le_snorm_top_mul_snorm", "MeasureTheory.snorm_smul_measure_of_ne_top", "MeasureTheory.snorm_smul_measure_of_ne_zero", "MeasureTheory.snorm_smul_measure_of_ne_zero_of_ne_top", "MeasureTheory.snorm_sub_le'", "MeasureTheory.snorm_sub_le_of_dist_bdd", "MeasureTheory.snorm_top_piecewise", "MeasureTheory.snorm_trim", "MeasureTheory.snorm_trim_ae", "MeasureTheory.snorm_zero", "MeasureTheory.snorm_zero'", "MeasureTheory.spanningSetsIndex_eq_iff", "MeasureTheory.squareCylinders_eq_iUnion_image", "MeasureTheory.stoppedProcess_eq", "MeasureTheory.stoppedProcess_eq'", "MeasureTheory.stoppedProcess_eq''", "MeasureTheory.stoppedProcess_eq_of_le", "MeasureTheory.stoppedProcess_eq_of_mem_finset", "MeasureTheory.stoppedProcess_eq_stoppedValue", "MeasureTheory.stoppedValue_const", "MeasureTheory.stoppedValue_eq", "MeasureTheory.stoppedValue_eq_of_mem_finset", "MeasureTheory.stoppedValue_hitting_mem", "MeasureTheory.stoppedValue_lowerCrossingTime", "MeasureTheory.stoppedValue_piecewise_const", "MeasureTheory.stoppedValue_stoppedProcess", "MeasureTheory.stoppedValue_stoppedValue_leastGE", "MeasureTheory.stoppedValue_sub_eq_sum", "MeasureTheory.stoppedValue_sub_eq_sum'", "MeasureTheory.stoppedValue_upperCrossingTime", "MeasureTheory.stronglyMeasurable_condexp", "MeasureTheory.stronglyMeasurable_const", "MeasureTheory.stronglyMeasurable_const'", "MeasureTheory.stronglyMeasurable_of_isEmpty", "MeasureTheory.stronglyMeasurable_one", "MeasureTheory.stronglyMeasurable_stoppedValue_of_le", "MeasureTheory.stronglyMeasurable_uncurry_of_continuous_of_stronglyMeasurable", "MeasureTheory.sub_eq_zero_of_upcrossingsBefore_lt", "MeasureTheory.submartingale_iff_condexp_sub_nonneg", "MeasureTheory.submartingale_iff_expected_stoppedValue_mono", "MeasureTheory.submartingale_nat", "MeasureTheory.submartingale_of_condexp_sub_nonneg", "MeasureTheory.submartingale_of_condexp_sub_nonneg_nat", "MeasureTheory.submartingale_of_expected_stoppedValue_mono", "MeasureTheory.submartingale_of_setIntegral_le", "MeasureTheory.submartingale_of_setIntegral_le_succ", "MeasureTheory.subset_toMeasurable", "MeasureTheory.sum_addContent_le_of_subset", "MeasureTheory.sum_measure_le_measure_univ", "MeasureTheory.sum_measure_preimage_singleton", "MeasureTheory.sum_restrict_disjointed_spanningSets", "MeasureTheory.sum_sFiniteSeq", "MeasureTheory.summable_measure_toReal", "MeasureTheory.supermartingale_nat", "MeasureTheory.supermartingale_of_condexp_sub_nonneg_nat", "MeasureTheory.supermartingale_of_setIntegral_succ_le", "MeasureTheory.support_convolution_subset", "MeasureTheory.support_convolution_subset_swap", "MeasureTheory.tendstoInMeasure_iff_norm", "MeasureTheory.tendstoInMeasure_iff_tendsto_Lp", "MeasureTheory.tendstoInMeasure_of_tendsto_ae", "MeasureTheory.tendstoInMeasure_of_tendsto_ae_of_stronglyMeasurable", "MeasureTheory.tendstoInMeasure_of_tendsto_snorm", "MeasureTheory.tendstoInMeasure_of_tendsto_snorm_of_ne_top", "MeasureTheory.tendstoInMeasure_of_tendsto_snorm_of_stronglyMeasurable", "MeasureTheory.tendstoInMeasure_of_tendsto_snorm_top", "MeasureTheory.tendstoUniformlyOn_of_ae_tendsto'", "MeasureTheory.tendsto_Lp_of_tendstoInMeasure", "MeasureTheory.tendsto_Lp_of_tendsto_ae", "MeasureTheory.tendsto_Lp_of_tendsto_ae_of_meas", "MeasureTheory.tendsto_ae_condexp", "MeasureTheory.tendsto_condexpL1_of_dominated_convergence", "MeasureTheory.tendsto_condexp_unique", "MeasureTheory.tendsto_diracProbaEquivSymm_iff_tendsto", "MeasureTheory.tendsto_diracProba_iff_tendsto", "MeasureTheory.tendsto_indicator_ge", "MeasureTheory.tendsto_integral_approxOn_of_measurable", "MeasureTheory.tendsto_integral_approxOn_of_measurable_of_range_subset", "MeasureTheory.tendsto_integral_filter_of_dominated_convergence", "MeasureTheory.tendsto_integral_meas_thickening_le", "MeasureTheory.tendsto_integral_norm_approxOn_sub", "MeasureTheory.tendsto_integral_of_L1", "MeasureTheory.tendsto_integral_of_L1'", "MeasureTheory.tendsto_integral_of_dominated_convergence", "MeasureTheory.tendsto_integral_smul_of_tendsto_average_norm_sub", "MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Iic", "MeasureTheory.tendsto_limUnder_of_hasDerivAt_of_integrableOn_Ioi", "MeasureTheory.tendsto_lintegral_filter_of_dominated_convergence", "MeasureTheory.tendsto_lintegral_nn_filter_of_le_const", "MeasureTheory.tendsto_lintegral_norm_of_dominated_convergence", "MeasureTheory.tendsto_lintegral_of_dominated_convergence", "MeasureTheory.tendsto_lintegral_of_dominated_convergence'", "MeasureTheory.tendsto_lintegral_thickenedIndicator_of_isClosed", "MeasureTheory.tendsto_measure_Ici_atBot", "MeasureTheory.tendsto_measure_Ico_atTop", "MeasureTheory.tendsto_measure_Iic_atTop", "MeasureTheory.tendsto_measure_Ioc_atBot", "MeasureTheory.tendsto_measure_biInter_gt", "MeasureTheory.tendsto_measure_biUnion_Ici_zero_of_pairwise_disjoint", "MeasureTheory.tendsto_measure_iInter", "MeasureTheory.tendsto_measure_iInter'", "MeasureTheory.tendsto_measure_iUnion", "MeasureTheory.tendsto_measure_iUnion'", "MeasureTheory.tendsto_measure_of_ae_tendsto_indicator", "MeasureTheory.tendsto_measure_of_ae_tendsto_indicator_of_isFiniteMeasure", "MeasureTheory.tendsto_measure_of_le_liminf_measure_of_limsup_measure_le", "MeasureTheory.tendsto_measure_of_null_frontier", "MeasureTheory.tendsto_measure_of_tendsto_indicator", "MeasureTheory.tendsto_measure_of_tendsto_indicator_of_isFiniteMeasure", "MeasureTheory.tendsto_measure_smul_diff_isCompact_isClosed", "MeasureTheory.tendsto_of_forall_isOpen_le_liminf", "MeasureTheory.tendsto_of_integral_tendsto_of_antitone", "MeasureTheory.tendsto_of_integral_tendsto_of_monotone", "MeasureTheory.tendsto_of_lintegral_tendsto_of_antitone", "MeasureTheory.tendsto_of_lintegral_tendsto_of_monotone", "MeasureTheory.tendsto_of_lintegral_tendsto_of_monotone_aux", "MeasureTheory.tendsto_of_uncrossing_lt_top", "MeasureTheory.tendsto_setIntegral_of_L1", "MeasureTheory.tendsto_setIntegral_of_L1'", "MeasureTheory.tendsto_setIntegral_of_antitone", "MeasureTheory.tendsto_setIntegral_of_monotone", "MeasureTheory.tendsto_setLIntegral_zero", "MeasureTheory.tendsto_setToFun_approxOn_of_measurable_of_range_subset", "MeasureTheory.tendsto_setToFun_filter_of_dominated_convergence", "MeasureTheory.tendsto_setToFun_of_L1", "MeasureTheory.tendsto_setToFun_of_dominated_convergence", "MeasureTheory.tendsto_snorm_condexp", "MeasureTheory.tendsto_sum_indicator_atTop_iff", "MeasureTheory.tendsto_sum_indicator_atTop_iff'", "MeasureTheory.tendsto_zero_of_hasDerivAt_of_integrableOn_Iic", "MeasureTheory.tendsto_zero_of_hasDerivAt_of_integrableOn_Ioi", "MeasureTheory.tilted_apply", "MeasureTheory.tilted_apply'", "MeasureTheory.tilted_apply_eq_ofReal_integral", "MeasureTheory.tilted_apply_eq_ofReal_integral'", "MeasureTheory.tilted_comm", "MeasureTheory.tilted_congr", "MeasureTheory.tilted_const'", "MeasureTheory.tilted_eq_withDensity_nnreal", "MeasureTheory.tilted_neg_same", "MeasureTheory.tilted_neg_same'", "MeasureTheory.tilted_of_not_aemeasurable", "MeasureTheory.tilted_of_not_integrable", "MeasureTheory.tilted_tilted", "MeasureTheory.tilted_zero", "MeasureTheory.tilted_zero_measure", "MeasureTheory.toFiniteAux_absolutelyContinuous_toFinite", "MeasureTheory.toFiniteAux_apply", "MeasureTheory.toFiniteAux_eq_zero_iff", "MeasureTheory.toFiniteAux_univ_le_one", "MeasureTheory.toFiniteAux_zero", "MeasureTheory.toFinite_absolutelyContinuous", "MeasureTheory.toFinite_apply", "MeasureTheory.toFinite_eq_zero_iff", "MeasureTheory.toFinite_withDensity_restrict_sigmaFiniteSet", "MeasureTheory.toFinite_zero", "MeasureTheory.toMeasure_apply", "MeasureTheory.toMeasure_apply\u2080", "MeasureTheory.toMeasure_toOuterMeasure", "MeasureTheory.toOuterMeasure_toMeasure", "MeasureTheory.toReal_laverage", "MeasureTheory.toReal_rnDeriv_tilted_left", "MeasureTheory.toReal_rnDeriv_tilted_right", "MeasureTheory.toReal_setLaverage", "MeasureTheory.trim_add", "MeasureTheory.trim_eq_self", "MeasureTheory.trim_measurableSet_eq", "MeasureTheory.trim_trim", "MeasureTheory.trim_withDensity", "MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint", "MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint\u2080", "MeasureTheory.tsum_measure_le_measure_univ", "MeasureTheory.tsum_measure_preimage_singleton", "MeasureTheory.uIoc_ae_eq_interval", "MeasureTheory.unifIntegrable_congr_ae", "MeasureTheory.unifIntegrable_fin", "MeasureTheory.unifIntegrable_finite", "MeasureTheory.unifIntegrable_of", "MeasureTheory.unifIntegrable_of'", "MeasureTheory.unifIntegrable_of_tendsto_Lp", "MeasureTheory.unifIntegrable_of_tendsto_Lp_zero", "MeasureTheory.unifIntegrable_subsingleton", "MeasureTheory.unifIntegrable_zero_meas", "MeasureTheory.uniformIntegrable_average", "MeasureTheory.uniformIntegrable_finite", "MeasureTheory.uniformIntegrable_iff", "MeasureTheory.uniformIntegrable_of", "MeasureTheory.uniformIntegrable_of'", "MeasureTheory.uniformIntegrable_subsingleton", "MeasureTheory.uniformIntegrable_zero_meas", "MeasureTheory.union_ae_eq_left_iff_ae_subset", "MeasureTheory.union_ae_eq_left_of_ae_eq_empty", "MeasureTheory.union_ae_eq_right", "MeasureTheory.union_ae_eq_right_iff_ae_subset", "MeasureTheory.union_ae_eq_right_of_ae_eq_empty", "MeasureTheory.union_ae_eq_univ_of_ae_eq_univ_left", "MeasureTheory.union_ae_eq_univ_of_ae_eq_univ_right", "MeasureTheory.union_cylinder", "MeasureTheory.union_mem_measurableCylinders", "MeasureTheory.univ_le_of_forall_fin_meas_le", "MeasureTheory.univ_mem_measurableCylinders", "MeasureTheory.upcrossingStrat_le_one", "MeasureTheory.upcrossingStrat_nonneg", "MeasureTheory.upcrossingsBefore_bot", "MeasureTheory.upcrossingsBefore_eq_sum", "MeasureTheory.upcrossingsBefore_le", "MeasureTheory.upcrossingsBefore_lt_of_exists_upcrossing", "MeasureTheory.upcrossingsBefore_mono", "MeasureTheory.upcrossingsBefore_pos_eq", "MeasureTheory.upcrossingsBefore_zero", "MeasureTheory.upcrossings_eq_top_of_frequently_lt", "MeasureTheory.upcrossings_lt_top_iff", "MeasureTheory.upperCrossingTime_bound_eq", "MeasureTheory.upperCrossingTime_eq_of_upcrossingsBefore_lt", "MeasureTheory.upperCrossingTime_le", "MeasureTheory.upperCrossingTime_le_lowerCrossingTime", "MeasureTheory.upperCrossingTime_lt_bddAbove", "MeasureTheory.upperCrossingTime_lt_lowerCrossingTime", "MeasureTheory.upperCrossingTime_lt_nonempty", "MeasureTheory.upperCrossingTime_lt_of_le_upcrossingsBefore", "MeasureTheory.upperCrossingTime_lt_succ", "MeasureTheory.upperCrossingTime_mono", "MeasureTheory.upperCrossingTime_stabilize", "MeasureTheory.upperCrossingTime_stabilize'", "MeasureTheory.upperCrossingTime_succ", "MeasureTheory.upperCrossingTime_succ_eq", "MeasureTheory.upperCrossingTime_zero", "MeasureTheory.upperCrossingTime_zero'", "MeasureTheory.vadd_ae_eq_self_of_mem_zmultiples", "MeasureTheory.volume_measurePreserving_piCongrLeft", "MeasureTheory.volume_pi_pi", "MeasureTheory.volume_preserving_funUnique", "MeasureTheory.volume_preserving_piEquivPiSubtypeProd", "MeasureTheory.volume_preserving_piFinSuccAbove", "MeasureTheory.volume_preserving_piFinTwo", "MeasureTheory.volume_preserving_piUnique", "MeasureTheory.volume_preserving_pi_empty", "MeasureTheory.volume_sum_rpow_le", "MeasureTheory.volume_sum_rpow_lt", "MeasureTheory.volume_sum_rpow_lt_one", "MeasureTheory.weightedSMul_add_measure", "MeasureTheory.weightedSMul_apply", "MeasureTheory.weightedSMul_empty", "MeasureTheory.weightedSMul_nonneg", "MeasureTheory.weightedSMul_null", "MeasureTheory.weightedSMul_smul", "MeasureTheory.weightedSMul_smul_measure", "MeasureTheory.weightedSMul_union'", "MeasureTheory.weightedSMul_zero_measure", "MeasureTheory.withDensitySMulLI_apply", "MeasureTheory.withDensity_absolutelyContinuous", "MeasureTheory.withDensity_absolutelyContinuous'", "MeasureTheory.withDensity_add_left", "MeasureTheory.withDensity_add_measure", "MeasureTheory.withDensity_add_right", "MeasureTheory.withDensity_apply", "MeasureTheory.withDensity_apply'", "MeasureTheory.withDensity_apply_eq_zero'", "MeasureTheory.withDensity_apply_le", "MeasureTheory.withDensity_congr_ae", "MeasureTheory.withDensity_const", "MeasureTheory.withDensity_densitytoFinite", "MeasureTheory.withDensity_eq_iff", "MeasureTheory.withDensity_eq_iff_of_sigmaFinite", "MeasureTheory.withDensity_eq_zero", "MeasureTheory.withDensity_indicator", "MeasureTheory.withDensity_inv_same", "MeasureTheory.withDensity_inv_same_le", "MeasureTheory.withDensity_inv_same\u2080", "MeasureTheory.withDensity_mono", "MeasureTheory.withDensity_mul", "MeasureTheory.withDensity_mul\u2080", "MeasureTheory.withDensity_ofReal_mutuallySingular", "MeasureTheory.withDensity_one", "MeasureTheory.withDensity_pdf_le_map", "MeasureTheory.withDensity_smul", "MeasureTheory.withDensity_smul'", "MeasureTheory.withDensity_smul_measure", "MeasureTheory.withDensity_sum", "MeasureTheory.withDensity_tsum", "MeasureTheory.withDensity_zero", "MeasureTheory.withDensity\u1d65_add", "MeasureTheory.withDensity\u1d65_add'", "MeasureTheory.withDensity\u1d65_apply", "MeasureTheory.withDensity\u1d65_eq_withDensity_pos_part_sub_withDensity_neg_part", "MeasureTheory.withDensity\u1d65_neg", "MeasureTheory.withDensity\u1d65_neg'", "MeasureTheory.withDensity\u1d65_rnDeriv_smul", "MeasureTheory.withDensity\u1d65_smul", "MeasureTheory.withDensity\u1d65_smul'", "MeasureTheory.withDensity\u1d65_smul_eq_withDensity\u1d65_withDensity", "MeasureTheory.withDensity\u1d65_smul_eq_withDensity\u1d65_withDensity'", "MeasureTheory.withDensity\u1d65_sub", "MeasureTheory.withDensity\u1d65_toReal", "MeasureTheory.withDensity\u1d65_zero", "MeasureTheory.zero_convolution", "MeasureTheory.zero_mem_\u2112p'", "MeasureTheory.zero_mem\u2112p", "MeasureTheory.zero_trim", "MellinConvergent.comp_mul_left", "MellinConvergent.comp_rpow", "MellinConvergent.const_smul", "MellinConvergent.cpow_smul", "MellinConvergent.div_const", "Membership.mem.out", "Mem\u2113p.add", "Mem\u2113p.all", "Mem\u2113p.bddAbove", "Mem\u2113p.const_mul", "Mem\u2113p.const_smul", "Mem\u2113p.finite_dsupport", "Mem\u2113p.finset_sum", "Mem\u2113p.infty_mul", "Mem\u2113p.neg", "Mem\u2113p.neg_iff", "Mem\u2113p.of_exponent_ge", "Mem\u2113p.star_iff", "Mem\u2113p.star_mem", "Mem\u2113p.sub", "MeromorphicAt.add", "MeromorphicAt.congr", "MeromorphicAt.const", "MeromorphicAt.id", "MeromorphicAt.iff_eventuallyEq_zpow_smul_analyticAt", "MeromorphicAt.inv", "MeromorphicAt.inv_iff", "MeromorphicAt.neg", "MeromorphicAt.neg_iff", "MeromorphicAt.order_eq_int_iff", "MeromorphicAt.order_eq_top_iff", "MeromorphicAt.pow", "MeromorphicAt.smul", "MeromorphicAt.sub", "MeromorphicAt.zpow", "MeromorphicOn.add", "MeromorphicOn.congr", "MeromorphicOn.const", "MeromorphicOn.div", "MeromorphicOn.inv", "MeromorphicOn.inv_iff", "MeromorphicOn.mul", "MeromorphicOn.neg", "MeromorphicOn.neg_iff", "MeromorphicOn.sub", "MeromorphicOn.zpow", "Metric.Sigma.completeSpace", "Metric.Sigma.dist_ne", "Metric.Sigma.dist_same", "Metric.Sigma.dist_triangle", "Metric.Sigma.fst_eq_of_dist_lt_one", "Metric.Sigma.isOpen_iff", "Metric.Sigma.isometry_mk", "Metric.Sigma.one_le_dist_of_ne", "Metric.Sum.dist_comm", "Metric.Sum.dist_eq", "Metric.Sum.dist_eq_glueDist", "Metric.Sum.mem_uniformity", "Metric.Sum.mem_uniformity_iff_glueDist", "Metric.Sum.one_le_dist_inl_inr", "Metric.Sum.one_le_dist_inr_inl", "Metric.ball_disjoint_ball", "Metric.ball_disjoint_closedBall", "Metric.ball_eq_ball", "Metric.ball_eq_ball'", "Metric.ball_eq_empty", "Metric.ball_half_subset", "Metric.ball_infDist_subset_compl", "Metric.ball_mem_nhds", "Metric.ball_subset", "Metric.ball_subset_ball", "Metric.ball_subset_ball'", "Metric.ball_subset_closedBall", "Metric.ball_subset_interior_closedBall", "Metric.ball_subset_thickening", "Metric.ball_union_sphere", "Metric.cauchySeq_iff", "Metric.cauchySeq_iff'", "Metric.closedBall_compl_subset_of_mem_cocompact", "Metric.closedBall_diff_ball", "Metric.closedBall_diff_sphere", "Metric.closedBall_disjoint_ball", "Metric.closedBall_disjoint_closedBall", "Metric.closedBall_eq_bInter_ball", "Metric.closedBall_eq_empty", "Metric.closedBall_infDist_compl_subset_closure", "Metric.closedBall_mem_nhds", "Metric.closedBall_mem_nhds_of_mem", "Metric.closedBall_subset_ball'", "Metric.closedBall_subset_closedBall", "Metric.closedBall_subset_cthickening", "Metric.closedBall_subset_cthickening_singleton", "Metric.closedBall_zero", "Metric.closedEmbedding_of_pairwise_le_dist", "Metric.closure_ball_subset_closedBall", "Metric.closure_closedBall", "Metric.closure_eq_iInter_cthickening", "Metric.closure_eq_iInter_cthickening'", "Metric.closure_eq_iInter_thickening", "Metric.closure_eq_iInter_thickening'", "Metric.closure_sphere", "Metric.closure_subset_cthickening", "Metric.closure_subset_thickening", "Metric.cobounded_eq_cocompact", "Metric.cobounded_le_cocompact", "Metric.coe_infNndist", "Metric.comap_dist_left_atTop", "Metric.comap_dist_right_atTop", "Metric.compactSpace_iff_isBounded_univ", "Metric.complete_of_cauchySeq_tendsto", "Metric.complete_of_convergent_controlled_sequences", "Metric.continuousAt_iff", "Metric.continuousAt_iff'", "Metric.continuousAt_inv_infDist_pt", "Metric.continuousOn_iff", "Metric.continuousOn_iff'", "Metric.continuousWithinAt_iff", "Metric.continuousWithinAt_iff'", "Metric.continuous_iff'", "Metric.continuous_infNndist_pt", "Metric.controlled_of_uniformEmbedding", "Metric.cthickening_closure", "Metric.cthickening_cthickening_subset", "Metric.cthickening_empty", "Metric.cthickening_eq_biUnion_closedBall", "Metric.cthickening_eq_iInter_cthickening", "Metric.cthickening_eq_iInter_cthickening'", "Metric.cthickening_eq_iInter_thickening", "Metric.cthickening_eq_iInter_thickening'", "Metric.cthickening_eq_iInter_thickening''", "Metric.cthickening_max_zero", "Metric.cthickening_mono", "Metric.cthickening_of_nonpos", "Metric.cthickening_singleton", "Metric.cthickening_subset_iUnion_closedBall_of_lt", "Metric.cthickening_subset_of_subset", "Metric.cthickening_subset_thickening", "Metric.cthickening_subset_thickening'", "Metric.cthickening_thickening_subset", "Metric.cthickening_union", "Metric.cthickening_zero", "Metric.denseRange_iff", "Metric.dense_iff", "Metric.diam_closure", "Metric.diam_cthickening_le", "Metric.diam_empty", "Metric.diam_eq_zero_of_unbounded", "Metric.diam_le_of_forall_dist_le", "Metric.diam_le_of_forall_dist_le_of_nonempty", "Metric.diam_le_of_subset_closedBall", "Metric.diam_mono", "Metric.diam_one", "Metric.diam_pair", "Metric.diam_subsingleton", "Metric.diam_thickening_le", "Metric.diam_triple", "Metric.diam_union", "Metric.diam_univ_of_noncompact", "Metric.disjoint_ball_infDist", "Metric.disjoint_cobounded_nhds", "Metric.disjoint_cobounded_nhdsSet", "Metric.disjoint_nhdsSet_cobounded", "Metric.dist_le_add_of_nonempty_closedBall_inter_closedBall", "Metric.dist_le_diam_of_mem", "Metric.dist_le_diam_of_mem'", "Metric.dist_le_infDist_add_diam", "Metric.dist_lt_add_of_nonempty_ball_inter_ball", "Metric.dist_lt_add_of_nonempty_ball_inter_closedBall", "Metric.dist_lt_add_of_nonempty_closedBall_inter_ball", "Metric.dist_mem_uniformity", "Metric.ediam_cthickening_le", "Metric.ediam_eq_top_iff_unbounded", "Metric.ediam_le_of_forall_dist_le", "Metric.ediam_of_unbounded", "Metric.ediam_thickening_le", "Metric.ediam_univ_eq_top_iff_noncompact", "Metric.ediam_univ_of_noncompact", "Metric.emetric_ball", "Metric.emetric_ball_nnreal", "Metric.emetric_ball_top", "Metric.emetric_closedBall", "Metric.emetric_closedBall_nnreal", "Metric.eq_of_glueDist_eq_zero", "Metric.equicontinuousAt_iff", "Metric.equicontinuousAt_iff_pair", "Metric.equicontinuousAt_iff_right", "Metric.equicontinuousAt_of_continuity_modulus", "Metric.equicontinuous_of_continuity_modulus", "Metric.eventually_isCompact_closedBall", "Metric.eventually_nhds_iff", "Metric.eventually_nhds_iff_ball", "Metric.eventually_nhds_prod_iff", "Metric.eventually_not_mem_cthickening_of_infEdist_pos", "Metric.eventually_not_mem_thickening_of_infEdist_pos", "Metric.eventually_prod_nhds_iff", "Metric.exists_ball_subset_ball", "Metric.exists_continuous_real_forall_closedBall_subset", "Metric.exists_dist_lt_of_hausdorffDist_lt", "Metric.exists_dist_lt_of_hausdorffDist_lt'", "Metric.exists_isCompact_closedBall", "Metric.exists_isLocalMin_mem_ball", "Metric.exists_isOpen_isBounded_image_inter_of_isCompact_of_forall_continuousWithinAt", "Metric.exists_isOpen_isBounded_image_of_isCompact_of_forall_continuousAt", "Metric.exists_lt_mem_ball_of_mem_ball", "Metric.exists_mem_closure_infDist_eq_dist", "Metric.exists_smooth_forall_closedBall_subset", "Metric.exists_subseq_bounded_of_cauchySeq", "Metric.exists_subseq_summable_dist_of_cauchySeq", "Metric.finite_approx_of_totallyBounded", "Metric.finite_isBounded_inter_isClosed", "Metric.forall_of_forall_mem_ball", "Metric.forall_of_forall_mem_closedBall", "Metric.frontier_cthickening_subset", "Metric.frontier_thickening_disjoint", "Metric.glueDist_glued_points", "Metric.glueDist_swap", "Metric.glueDist_triangle", "Metric.glueDist_triangle_inl_inr_inl", "Metric.glueDist_triangle_inl_inr_inr", "Metric.hasBasis_cobounded_compl_ball", "Metric.hasBasis_cobounded_compl_closedBall", "Metric.hasBasis_nhdsSet_thickening", "Metric.hausdorffDist_closure", "Metric.hausdorffDist_closure\u2081", "Metric.hausdorffDist_closure\u2082", "Metric.hausdorffDist_comm", "Metric.hausdorffDist_empty", "Metric.hausdorffDist_empty'", "Metric.hausdorffDist_image", "Metric.hausdorffDist_le_diam", "Metric.hausdorffDist_le_of_infDist", "Metric.hausdorffDist_le_of_mem_dist", "Metric.hausdorffDist_nonneg", "Metric.hausdorffDist_self_closure", "Metric.hausdorffDist_self_zero", "Metric.hausdorffDist_triangle", "Metric.hausdorffDist_triangle'", "Metric.hausdorffDist_zero_iff_closure_eq_closure", "Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded", "Metric.iUnion_closedBall_nat", "Metric.iUnion_inter_closedBall_nat", "Metric.inductiveLimitDist_eq_dist", "Metric.infDist_closure", "Metric.infDist_empty", "Metric.infDist_eq_iInf", "Metric.infDist_image", "Metric.infDist_inter_closedBall_of_mem", "Metric.infDist_le_dist_of_mem", "Metric.infDist_le_infDist_add_dist", "Metric.infDist_le_infDist_add_hausdorffDist", "Metric.infDist_le_infDist_of_subset", "Metric.infDist_lt_iff", "Metric.infDist_nonneg", "Metric.infDist_singleton", "Metric.infDist_zero_of_mem", "Metric.infDist_zero_of_mem_closure", "Metric.infEdist_eq_top_iff", "Metric.infEdist_le_infEdist_cthickening_add", "Metric.infEdist_ne_top", "Metric.inseparable_iff", "Metric.instTietzeExtensionBall", "Metric.instTietzeExtensionClosedBall", "Metric.isBounded_Icc", "Metric.isBounded_Ico", "Metric.isBounded_Ioo", "Metric.isBounded_ball", "Metric.isBounded_closure_iff", "Metric.isBounded_closure_of_isBounded", "Metric.isBounded_iff", "Metric.isBounded_iff_ediam_ne_top", "Metric.isBounded_iff_eventually", "Metric.isBounded_iff_nndist", "Metric.isBounded_iff_subset_ball", "Metric.isBounded_iff_subset_closedBall", "Metric.isBounded_image_iff", "Metric.isBounded_of_bddAbove_of_bddBelow", "Metric.isBounded_of_compactSpace", "Metric.isBounded_range_iff", "Metric.isBounded_range_of_cauchy_map_cofinite", "Metric.isBounded_range_of_tendsto", "Metric.isBounded_range_of_tendsto_cofinite", "Metric.isBounded_range_of_tendsto_cofinite_uniformity", "Metric.isBounded_sphere", "Metric.isClosed_ball", "Metric.isClosed_of_pairwise_le_dist", "Metric.isClosed_sphere", "Metric.isCobounded_iff_closedBall_compl_subset", "Metric.isCompact_iff_isClosed_bounded", "Metric.isCompact_of_isClosed_isBounded", "Metric.isOpen_ball", "Metric.isOpen_iff", "Metric.isOpen_singleton_iff", "Metric.isometry_inl", "Metric.isometry_inr", "Metric.le_glueDist_inl_inr", "Metric.le_glueDist_inr_inl", "Metric.lipschitz_infDist", "Metric.lipschitz_infDist_pt", "Metric.lipschitz_infDist_set", "Metric.measure_ball_pos", "Metric.measure_closedBall_pos", "Metric.measure_closedBall_pos_iff", "Metric.mem_ball", "Metric.mem_ball'", "Metric.mem_ball_comm", "Metric.mem_ball_self", "Metric.mem_closedBall", "Metric.mem_closedBall'", "Metric.mem_closedBall_comm", "Metric.mem_closedBall_self", "Metric.mem_closure_iff", "Metric.mem_closure_iff_infDist_zero", "Metric.mem_closure_range_iff", "Metric.mem_closure_range_iff_nat", "Metric.mem_cocompact_of_closedBall_compl_subset", "Metric.mem_cthickening_iff", "Metric.mem_cthickening_of_dist_le", "Metric.mem_cthickening_of_edist_le", "Metric.mem_nhdsWithin_iff", "Metric.mem_nhds_iff", "Metric.mem_sphere", "Metric.mem_sphere'", "Metric.mem_sphere_comm", "Metric.mem_thickening_iff", "Metric.mem_thickening_iff_exists_edist_lt", "Metric.mem_thickening_iff_infDist_lt", "Metric.mem_thickening_iff_infEdist_lt", "Metric.mem_uniformity_dist", "Metric.mk_uniformity_basis", "Metric.mk_uniformity_basis_le", "Metric.nhdsWithin_basis_ball", "Metric.nhds_basis_ball", "Metric.nhds_basis_ball_inv_nat_pos", "Metric.nhds_basis_ball_inv_nat_succ", "Metric.nhds_basis_closedBall", "Metric.nonempty_ball", "Metric.nonempty_iInter_of_nonempty_biInter", "Metric.nonneg_of_mem_sphere", "Metric.not_mem_of_dist_lt_infDist", "Metric.pos_of_mem_ball", "Metric.preimage_mul_left_ball", "Metric.preimage_mul_left_closedBall", "Metric.preimage_mul_right_ball", "Metric.preimage_mul_right_closedBall", "Metric.preimage_smul_ball", "Metric.preimage_smul_closedBall", "Metric.preimage_smul_sphere", "Metric.secondCountable_of_almost_dense_set", "Metric.secondCountable_of_countable_discretization", "Metric.self_subset_cthickening", "Metric.self_subset_thickening", "Metric.smul_ball", "Metric.smul_closedBall", "Metric.sphere_disjoint_ball", "Metric.sphere_subset_ball", "Metric.sphere_subset_closedBall", "Metric.sphere_union_ball", "Metric.sphere_zero", "Metric.subset_compl_thickening_compl_thickening_self", "Metric.subsingleton_closedBall", "Metric.subsingleton_sphere", "Metric.tendstoLocallyUniformlyOn_iff", "Metric.tendstoLocallyUniformly_iff", "Metric.tendstoUniformlyOnFilter_iff", "Metric.tendstoUniformlyOn_iff", "Metric.tendstoUniformly_iff", "Metric.tendsto_atTop", "Metric.tendsto_atTop'", "Metric.tendsto_dist_left_atTop_iff", "Metric.tendsto_dist_left_cobounded_atTop", "Metric.tendsto_dist_right_atTop_iff", "Metric.tendsto_nhds", "Metric.tendsto_nhdsWithin_nhds", "Metric.tendsto_nhdsWithin_nhdsWithin", "Metric.tendsto_nhds_nhds", "Metric.thickening_closure", "Metric.thickening_compl_thickening_self_subset_compl", "Metric.thickening_cthickening_subset", "Metric.thickening_empty", "Metric.thickening_eq_biUnion_ball", "Metric.thickening_eq_preimage_infEdist", "Metric.thickening_iUnion", "Metric.thickening_mono", "Metric.thickening_of_nonpos", "Metric.thickening_singleton", "Metric.thickening_subset_cthickening", "Metric.thickening_subset_cthickening_of_le", "Metric.thickening_subset_of_subset", "Metric.thickening_thickening_subset", "Metric.thickening_union", "Metric.toGlueL_isometry", "Metric.toGlueR_isometry", "Metric.toGlue_commute", "Metric.toInductiveLimit_commute", "Metric.toInductiveLimit_isometry", "Metric.toUniformSpace_eq", "Metric.totallyBounded_of_finite_discretization", "Metric.uniformCauchySeqOn_iff", "Metric.uniformContinuousOn_iff", "Metric.uniformContinuousOn_iff_le", "Metric.uniformContinuous_iff", "Metric.uniformContinuous_infDist_pt", "Metric.uniformEmbedding_bot_of_pairwise_le_dist", "Metric.uniformEmbedding_iff", "Metric.uniformEmbedding_iff'", "Metric.uniformEquicontinuous_iff", "Metric.uniformEquicontinuous_iff_right", "Metric.uniformEquicontinuous_of_continuity_modulus", "Metric.uniformInducing_iff", "Metric.uniformSpace_eq_bot", "Metric.uniformity_basis_dist", "Metric.uniformity_basis_dist_inv_nat_pos", "Metric.uniformity_basis_dist_inv_nat_succ", "Metric.uniformity_basis_dist_lt", "Metric.uniformity_basis_dist_rat", "Metric.uniformity_edist", "Metric.uniformity_edist_aux", "Metric.uniformity_eq_comap_nhds_zero", "MetricSpace.replaceBornology_eq", "MetricSpace.replaceTopology_eq", "MetricSpace.replaceUniformity_eq", "MixedCharZero.reduce_to_maximal_ideal", "MixedCharZero.reduce_to_p_prime", "ModP.mul_ne_zero_of_pow_p_ne_zero", "ModP.preVal_add", "ModP.preVal_eq_zero", "ModP.preVal_mk", "ModP.preVal_mul", "ModP.preVal_zero", "ModP.v_p_lt_preVal", "ModP.v_p_lt_val", "Mod_.comp_hom'", "Mod_.id_hom'", "ModelProd.ext", "ModelWithCorners.Boundaryless.boundary_eq_empty", "ModelWithCorners.boundary_eq_complement_interior", "ModelWithCorners.closedEmbedding", "ModelWithCorners.coe_extChartAt_transDiffeomorph", "ModelWithCorners.coe_transDiffeomorph", "ModelWithCorners.continuous", "ModelWithCorners.continuousAt", "ModelWithCorners.continuousAt_symm", "ModelWithCorners.continuousWithinAt", "ModelWithCorners.continuousWithinAt_symm", "ModelWithCorners.continuous_symm", "ModelWithCorners.disjoint_interior_boundary", "ModelWithCorners.extChartAt_transDiffeomorph_target", "ModelWithCorners.hasMFDerivAt", "ModelWithCorners.hasMFDerivWithinAt", "ModelWithCorners.hasMFDerivWithinAt_symm", "ModelWithCorners.image_eq", "ModelWithCorners.leftInverse", "ModelWithCorners.left_inv", "ModelWithCorners.locallyCompactSpace", "ModelWithCorners.map_nhdsWithin_eq", "ModelWithCorners.map_nhds_eq", "ModelWithCorners.mdifferentiable", "ModelWithCorners.mdifferentiableAt", "ModelWithCorners.mdifferentiableWithinAt", "ModelWithCorners.mk_coe", "ModelWithCorners.mk_symm", "ModelWithCorners.preimage_image", "ModelWithCorners.range_eq_univ", "ModelWithCorners.secondCountableTopology", "ModelWithCorners.symm_comp_self", "ModelWithCorners.symm_continuousWithinAt_comp_right_iff", "ModelWithCorners.symm_map_nhdsWithin_image", "ModelWithCorners.symm_map_nhdsWithin_range", "ModelWithCorners.target_eq", "ModelWithCorners.toPartialEquiv_coe", "ModelWithCorners.toPartialEquiv_coe_symm", "ModelWithCorners.transDiffeomorph_range", "ModelWithCorners.unique_diff", "ModelWithCorners.unique_diff_at_image", "ModelWithCorners.unique_diff_preimage", "ModelWithCorners.unique_diff_preimage_source", "ModularCyclotomicCharacter.comp", "ModularCyclotomicCharacter.id", "ModularCyclotomicCharacter.spec", "ModularCyclotomicCharacter.toFun_spec", "ModularCyclotomicCharacter.toFun_spec'", "ModularCyclotomicCharacter.toFun_spec''", "ModularCyclotomicCharacter.toFun_unique", "ModularCyclotomicCharacter.toFun_unique'", "ModularCyclotomicCharacter.unique", "ModularCyclotomicCharacter_aux_spec", "ModularForm.add_apply", "ModularForm.add_slash", "ModularForm.coe_add", "ModularForm.ext", "ModularForm.gradedMonoid_eq_of_cast", "ModularForm.is_invariant_const", "ModularForm.is_invariant_one", "ModularForm.mul_coe", "ModularForm.mul_slash", "ModularForm.mul_slash_SL2", "ModularForm.one_coe_eq_one", "ModularForm.slash_action_eq'_iff", "ModularForm.slash_def", "ModularForm.slash_mul", "ModularForm.slash_one", "ModularForm.smul_apply", "ModularForm.smul_slash", "ModularForm.subgroup_slash", "ModularForm.toSlashInvariantForm_intCast", "ModularForm.toSlashInvariantForm_natCast", "ModularForm.zero_slash", "ModularGroup.T_mul_apply_one", "ModularGroup.T_pow_mul_apply_one", "ModularGroup.abs_c_le_one", "ModularGroup.abs_two_mul_re_lt_one_of_mem_fdo", "ModularGroup.bottom_row_coprime", "ModularGroup.bottom_row_surj", "ModularGroup.c_eq_zero", "ModularGroup.coe_S", "ModularGroup.coe_T_inv", "ModularGroup.coe_T_zpow", "ModularGroup.coe_T_zpow_smul_eq", "ModularGroup.eq_smul_self_of_mem_fdo_mem_fdo", "ModularGroup.eq_zero_of_mem_fdo_of_T_zpow_mem_fdo", "ModularGroup.exists_eq_T_zpow_of_c_eq_zero", "ModularGroup.exists_max_im", "ModularGroup.exists_row_one_eq_and_min_re", "ModularGroup.exists_smul_mem_fd", "ModularGroup.g_eq_of_c_eq_one", "ModularGroup.im_T_smul", "ModularGroup.im_T_zpow_smul", "ModularGroup.im_lt_im_S_smul", "ModularGroup.lcRow0_apply", "ModularGroup.normSq_S_smul_lt_one", "ModularGroup.one_lt_normSq_T_zpow_smul", "ModularGroup.re_T_zpow_smul", "ModularGroup.smul_eq_lcRow0_add", "ModularGroup.tendsto_abs_re_smul", "ModularGroup.tendsto_lcRow0", "ModularGroup.tendsto_normSq_coprime_pair", "ModularGroup_T_pow_mem_Gamma", "Module.AEval'.of_symm_X_smul", "Module.AEval'_def", "Module.AEval.X_smul_of", "Module.AEval.annihilator_eq_ker_aeval", "Module.AEval.annihilator_top_eq_ker_aeval", "Module.AEval.comapSubmodule_le_comap", "Module.AEval.comapSubmodule_mapSubmodule", "Module.AEval.isTorsion_of_aeval_eq_zero", "Module.AEval.isTorsion_of_finiteDimensional", "Module.AEval.mapSubmodule_comapSubmodule", "Module.AEval.mem_comapSubmodule", "Module.AEval.of_symm_smul", "Module.AEval.range_comapSubmodule", "Module.Baer.ExtensionOf.ext", "Module.Baer.ExtensionOfMaxAdjoin.extendIdealTo_eq", "Module.Baer.ExtensionOfMaxAdjoin.extendIdealTo_is_extension", "Module.Baer.ExtensionOfMaxAdjoin.extendIdealTo_wd", "Module.Baer.ExtensionOfMaxAdjoin.extendIdealTo_wd'", "Module.Baer.ExtensionOfMaxAdjoin.extensionToFun_wd", "Module.Baer.chain_linearPMap_of_chain_extensionOf", "Module.Baer.extensionOfMax_adjoin.aux1", "Module.Baer.extensionOfMax_is_max", "Module.Baer.extensionOfMax_le", "Module.Baer.extensionOfMax_to_submodule_eq_top", "Module.Baer.extension_property", "Module.Baer.extension_property_addMonoidHom", "Module.Baer.injective", "Module.Baer.of_divisible", "Module.Baer.of_injective", "Module.DirectLimit.congr_symm_apply_of", "Module.DirectLimit.induction_on", "Module.DirectLimit.lift_injective", "Module.DirectLimit.lift_of", "Module.DirectLimit.lift_unique", "Module.DirectLimit.map_comp", "Module.DirectLimit.map_id", "Module.DirectLimit.of.zero_exact", "Module.DirectLimit.of.zero_exact_aux", "Module.DirectLimit.toModule_totalize_of_le", "Module.DirectLimit.totalize_of_le", "Module.DirectedSystem.map_map", "Module.DirectedSystem.map_self", "Module.Dual.eq_of_ker_eq_of_apply_eq", "Module.Dual.eq_of_preReflection_mapsTo", "Module.Dual.eq_of_preReflection_mapsTo'", "Module.Dual.eval_apply", "Module.Dual.finrank_ker_add_one_of_ne_zero", "Module.Dual.isCompl_ker_of_disjoint_of_ne_bot", "Module.Dual.lie_apply", "Module.Dual.range_eq_top_of_ne_zero", "Module.Dual.transpose_apply", "Module.Dual.transpose_comp", "Module.DualBases.coe_basis", "Module.DualBases.coe_dualBasis", "Module.DualBases.coeffs_apply", "Module.DualBases.coeffs_lc", "Module.DualBases.dual_lc", "Module.DualBases.lc_coeffs", "Module.DualBases.lc_def", "Module.DualBases.mem_of_mem_span", "Module.End.HasEigenvalue.exists_hasEigenvector", "Module.End.HasEigenvalue.isNilpotent_of_isNilpotent", "Module.End.HasEigenvalue.mem_spectrum", "Module.End.HasEigenvalue.pow", "Module.End.HasEigenvector.apply_eq_smul", "Module.End.HasEigenvector.pow_apply", "Module.End.IsNilpotent.mapQ", "Module.End.IsSemisimple.aeval", "Module.End.IsSemisimple.genEigenspace_eq_eigenspace", "Module.End.IsSemisimple.maxGenEigenspace_eq_eigenspace", "Module.End.IsSemisimple.minpoly_squarefree", "Module.End.IsSemisimple.mul_of_commute", "Module.End.IsSemisimple.of_mem_adjoin_pair", "Module.End.IsSemisimple.of_mem_adjoin_singleton", "Module.End.IsSemisimple.restrict", "Module.End.IsSemisimple.sub_of_commute", "Module.End.IsSemisimple_smul_iff", "Module.End.aeval_apply_of_hasEigenvector", "Module.End.apply_eq_of_mem_genEigenspace_of_comm_of_isSemisimple_of_isNilpotent_sub", "Module.End.disjoint_genEigenspace", "Module.End.disjoint_iSup_genEigenspace", "Module.End.eigenspace_aeval_polynomial_degree_1", "Module.End.eigenspace_div", "Module.End.eigenspace_le_genEigenspace", "Module.End.eigenspace_restrict_eq_bot", "Module.End.eigenspace_restrict_le_eigenspace", "Module.End.eq_zero_of_isNilpotent_isSemisimple", "Module.End.exists_eigenvalue", "Module.End.exists_isNilpotent_isSemisimple", "Module.End.exists_isNilpotent_isSemisimple_of_separable_of_dvd_pow", "Module.End.exists_ker_pow_eq_ker_pow_succ", "Module.End.finite_hasEigenvalue", "Module.End.finite_spectrum", "Module.End.genEigenspace_le_genEigenspace_finrank", "Module.End.genEigenspace_le_maximal", "Module.End.genEigenspace_restrict", "Module.End.genEigenspace_zero", "Module.End.generalized_eigenvec_disjoint_range_ker", "Module.End.hasEigenvalue_iff_isRoot", "Module.End.hasEigenvalue_iff_mem_spectrum", "Module.End.hasEigenvalue_of_hasEigenvector", "Module.End.hasEigenvalue_of_hasGenEigenvalue", "Module.End.hasEigenvalue_of_isRoot", "Module.End.hasGenEigenvalue_iff_hasEigenvalue", "Module.End.hasGenEigenvalue_of_hasEigenvalue", "Module.End.hasGenEigenvalue_of_hasGenEigenvalue_of_le", "Module.End.iSup_genEigenspace_eq_genEigenspace_finrank", "Module.End.iSup_genEigenspace_eq_top", "Module.End.iSup_genEigenspace_inf_le_add", "Module.End.iSup_genEigenspace_le_smul", "Module.End.iSup_genEigenspace_restrict_eq_top", "Module.End.independent_genEigenspace", "Module.End.injOn_genEigenspace", "Module.End.isNilpotent.restrict", "Module.End.isNilpotent_restrict_iSup_sub_algebraMap", "Module.End.isNilpotent_restrict_sub_algebraMap", "Module.End.isRoot_of_hasEigenvalue", "Module.End.isSemisimple_iff", "Module.End.isSemisimple_neg", "Module.End.isSemisimple_of_squarefree_aeval_eq_zero", "Module.End.isSemisimple_sub_algebraMap_iff", "Module.End.ker_aeval_ring_hom'_unit_polynomial", "Module.End.ker_pow_constant", "Module.End.ker_pow_eq_ker_pow_finrank_of_le", "Module.End.ker_pow_le_ker_pow_finrank", "Module.End.lie_apply", "Module.End.map_add_of_iInf_genEigenspace_ne_bot_of_commute", "Module.End.map_genEigenrange_le", "Module.End.map_smul_of_iInf_genEigenspace_ne_bot", "Module.End.mapsTo_genEigenspace_of_comm", "Module.End.mapsTo_iSup_genEigenspace_of_comm", "Module.End.maxGenEigenspace_eq", "Module.End.mem_eigenspace_iff", "Module.End.mem_genEigenspace", "Module.End.mem_maxGenEigenspace", "Module.End.natCast_apply", "Module.End.natCast_def", "Module.End.ofNat_apply", "Module.End.pos_finrank_genEigenspace_of_hasEigenvalue", "Module.End_algebraMap_isUnit_inv_apply_eq_iff", "Module.End_algebraMap_isUnit_inv_apply_eq_iff'", "Module.End_isUnit_apply_inv_apply_of_isUnit", "Module.End_isUnit_iff", "Module.Finite.Module.End.isNilpotent_iff_of_finite", "Module.Finite.equiv", "Module.Finite.equiv_iff", "Module.Finite.exists_fin", "Module.Finite.exists_fin'", "Module.Finite.exists_smul_of_comp_eq_of_isLocalizedModule", "Module.Finite.finite_basis", "Module.Finite.iff_addGroup_fg", "Module.Finite.iff_addMonoid_fg", "Module.Finite.iff_fg", "Module.Finite.injective_of_surjective_endomorphism", "Module.Finite.not_linearIndependent_of_infinite", "Module.Finite.of_basis", "Module.Finite.of_equiv_equiv", "Module.Finite.of_injective", "Module.Finite.of_isLocalizedModule", "Module.Finite.of_localizationSpan'", "Module.Finite.of_localizationSpan_finite'", "Module.Finite.of_restrictScalars_finite", "Module.Finite.of_surjective", "Module.Finite.span_of_finite", "Module.Finite.trans", "Module.FinitePresentation.equiv_quotient", "Module.FinitePresentation.exists_lift_of_isLocalizedModule", "Module.FinitePresentation.fg_ker", "Module.FinitePresentation.isLocalizedModule_map", "Module.Finite_of_isLocalization", "Module.Flat.comp", "Module.Flat.exists_factorization_of_apply_eq_zero_of_free", "Module.Flat.exists_factorization_of_comp_eq_zero_of_free", "Module.Flat.exists_factorization_of_isFinitelyPresented", "Module.Flat.iff_characterModule_baer", "Module.Flat.iff_characterModule_injective", "Module.Flat.iff_forall_exists_factorization", "Module.Flat.iff_forall_isTrivialRelation", "Module.Flat.iff_lTensor_injective'", "Module.Flat.iff_lTensor_preserves_injective_linearMap", "Module.Flat.iff_rTensor_injective", "Module.Flat.iff_rTensor_injective'", "Module.Flat.iff_rTensor_preserves_injective_linearMap", "Module.Flat.injective_characterModule_iff_rTensor_preserves_injective_linearMap", "Module.Flat.isBaseChange", "Module.Flat.isTrivialRelation_of_sum_smul_eq_zero", "Module.Flat.lTensor_preserves_injective_linearMap", "Module.Flat.of_forall_isTrivialRelation", "Module.Flat.of_linearEquiv", "Module.Flat.of_projective_surjective", "Module.Flat.of_retract", "Module.Flat.rTensor_preserves_injective_linearMap", "Module.Flat.tfae_equational_criterion", "Module.Free.of_basis", "Module.Free.of_equiv", "Module.Free.rank_eq_card_chooseBasisIndex", "Module.Free.rank_eq_mk_of_infinite_lt", "Module.Injective.extension_property", "Module.IsTorsionBy.mk_smul", "Module.IsTorsionBySet.quotient", "Module.Projective.of_basis", "Module.Projective.of_equiv", "Module.Projective.of_lifting_property", "Module.Projective.of_lifting_property'", "Module.Projective.of_split", "Module.Quotient.mk_smul_mk", "Module.Ray.ind", "Module.Ray.map_neg", "Module.Ray.map_refl", "Module.Ray.map_symm", "Module.Ray.ne_neg_self", "Module.Ray.neg_units_smul", "Module.Ray.someRayVector_ray", "Module.Ray.someVector_ne_zero", "Module.Ray.someVector_ray", "Module.Ray.units_smul_of_neg", "Module.Ray.units_smul_of_pos", "Module.algebraMap_end_apply", "Module.algebraMap_end_eq_smul_id", "Module.apply_evalEquiv_symm_apply", "Module.bijective_dual_eval", "Module.card_fintype", "Module.comap_eval_surjective", "Module.dual_rank_eq", "Module.eq_of_mapsTo_reflection_of_mem", "Module.eq_zero_of_zero_eq_one", "Module.equiv", "Module.equiv_directSum_of_isTorsion", "Module.equiv_free_prod_directSum", "Module.erange_coe", "Module.evalEquiv_apply", "Module.evalEquiv_toLinearMap", "Module.eval_ker", "Module.exists_nontrivial_relation_of_finrank_lt_card", "Module.exists_nontrivial_relation_sum_zero_of_finrank_succ_lt_card", "Module.exists_smul_eq_zero_and_mk_eq", "Module.finitePresentation_of_finite", "Module.finitePresentation_of_free", "Module.finitePresentation_of_free_of_surjective", "Module.finitePresentation_of_ker", "Module.finitePresentation_of_surjective", "Module.finite_def", "Module.finite_dual_iff", "Module.finite_iff_of_rank_eq_nsmul", "Module.finite_of_fg_torsion", "Module.finite_of_finrank_eq_succ", "Module.finite_of_finrank_pos", "Module.finite_of_rank_eq_nat", "Module.finite_of_rank_eq_one", "Module.finite_of_rank_eq_zero", "Module.finrank_le_one_iff_top_isPrincipal", "Module.forall_dual_apply_eq_zero_iff", "Module.free_iff_noZeroSMulDivisors", "Module.free_iff_set", "Module.free_of_finite_type_torsion_free", "Module.injOn_dualMap_subtype_span_range_range", "Module.injective_iff_injective_object", "Module.injective_module_of_injective_object", "Module.injective_object_of_injective_module", "Module.injective_of_ulift_injective", "Module.invOn_reflection_of_mapsTo", "Module.involutive_preReflection", "Module.involutive_reflection", "Module.isTorsionBySet_annihilator", "Module.isTorsionBySet_annihilator_top", "Module.isTorsionBySet_iff_is_torsion_by_span", "Module.isTorsionBySet_iff_torsionBySet_eq_top", "Module.isTorsionBySet_quotient_ideal_smul", "Module.isTorsionBySet_quotient_iff", "Module.isTorsionBySet_quotient_set_smul", "Module.isTorsionBySet_singleton_iff", "Module.isTorsionBySet_span_singleton_iff", "Module.isTorsionBy_iff_mem_ker_lsmul", "Module.isTorsionBy_iff_torsionBy_eq_top", "Module.isTorsionBy_quotient_element_smul", "Module.isTorsionBy_quotient_iff", "Module.isTrivialRelation_iff_vanishesTrivially", "Module.mapEvalEquiv_apply", "Module.mapEvalEquiv_symm_apply", "Module.map_eval_injective", "Module.mem_annihilator", "Module.mk_finrank_eq_card_basis", "Module.nontrivial_dual_iff", "Module.p_pow_smul_lift", "Module.piEquiv_apply_apply", "Module.preReflection_apply", "Module.preReflection_apply_self", "Module.preReflection_preReflection", "Module.projective_def", "Module.projective_def'", "Module.projective_lifting_property", "Module.punctured_nhds_neBot", "Module.rank_le_one_iff_top_isPrincipal", "Module.rank_lt_alpeh0_iff", "Module.reflection_apply", "Module.reflection_symm", "Module.subsingleton_dual_iff", "Module.sum_smul_eq_zero_of_isTrivialRelation", "Module.surjective_piEquiv_apply_iff", "Module.symm_dualMap_evalEquiv", "Module.torsion_by_prime_power_decomposition", "ModuleCat.CoextendScalars.map_apply", "ModuleCat.CoextendScalars.smul_apply", "ModuleCat.Derivation.d_add", "ModuleCat.Derivation.d_mul", "ModuleCat.Derivation.desc_d", "ModuleCat.ExtendScalars.map'_comp", "ModuleCat.ExtendScalars.map'_id", "ModuleCat.ExtendScalars.map_tmul", "ModuleCat.ExtendScalars.smul_tmul", "ModuleCat.FilteredColimits.M.mk_eq", "ModuleCat.FilteredColimits.colimitModule.add_smul", "ModuleCat.FilteredColimits.colimitModule.one_smul", "ModuleCat.FilteredColimits.colimitSMulAux_eq_of_rel", "ModuleCat.FilteredColimits.colimit_smul_mk_eq", "ModuleCat.Free.associativity", "ModuleCat.Free.left_unitality", "ModuleCat.Free.right_unitality", "ModuleCat.Free.\u03bc_natural", "ModuleCat.MonModuleEquivalenceAlgebra.algebraMap", "ModuleCat.MonoidalCategory.associator_inv_apply", "ModuleCat.MonoidalCategory.associator_naturality", "ModuleCat.MonoidalCategory.associator_naturality_aux", "ModuleCat.MonoidalCategory.braiding_hom_apply", "ModuleCat.MonoidalCategory.braiding_naturality", "ModuleCat.MonoidalCategory.braiding_naturality_right", "ModuleCat.MonoidalCategory.hexagon_forward", "ModuleCat.MonoidalCategory.hexagon_reverse", "ModuleCat.MonoidalCategory.leftUnitor_inv_apply", "ModuleCat.MonoidalCategory.leftUnitor_naturality", "ModuleCat.MonoidalCategory.pentagon", "ModuleCat.MonoidalCategory.rightUnitor_hom_apply", "ModuleCat.MonoidalCategory.rightUnitor_naturality", "ModuleCat.MonoidalCategory.tensor_id", "ModuleCat.MonoidalCategory.triangle", "ModuleCat.MonoidalCategory.whiskerRight_apply", "ModuleCat.binaryProductLimitCone_cone_\u03c0_app_left", "ModuleCat.biprodIsoProd_inv_comp_snd", "ModuleCat.biproductIsoPi_inv_comp_\u03c0", "ModuleCat.coe_of", "ModuleCat.cokernel_\u03c0_cokernelIsoRangeQuotient_hom", "ModuleCat.cokernel_\u03c0_ext", "ModuleCat.cokernel_\u03c0_imageSubobject_ext", "ModuleCat.comp_def", "ModuleCat.cycles'Map_toCycles'", "ModuleCat.cycles'_ext", "ModuleCat.disjoint_span_sum", "ModuleCat.enoughInjectives", "ModuleCat.epi_iff_range_eq_top", "ModuleCat.epi_iff_surjective", "ModuleCat.exact_iff", "ModuleCat.ext", "ModuleCat.forget_map", "ModuleCat.forget\u2082_obj", "ModuleCat.forget\u2082_obj_moduleCat_of", "ModuleCat.free_shortExact", "ModuleCat.free_shortExact_finrank_add", "ModuleCat.free_shortExact_rank_add", "ModuleCat.hasKernels_moduleCat", "ModuleCat.hasLimitsOfShape", "ModuleCat.hasLimitsOfSize", "ModuleCat.homology'_ext", "ModuleCat.homology'_ext'", "ModuleCat.ihom_coev_app", "ModuleCat.ihom_ev_app", "ModuleCat.image.fac", "ModuleCat.image.lift_fac", "ModuleCat.imageIsoRange_inv_image_\u03b9", "ModuleCat.isScalarTower_of_algebra_moduleCat", "ModuleCat.isZero_of_subsingleton", "ModuleCat.ker_eq_bot_of_mono", "ModuleCat.kernelIsoKer_hom_ker_subtype", "ModuleCat.kernelIsoKer_inv_kernel_\u03b9", "ModuleCat.linearIndependent_leftExact", "ModuleCat.linearIndependent_shortExact", "ModuleCat.mkOfSMul'_smul", "ModuleCat.mono_iff_injective", "ModuleCat.mono_iff_ker_eq_bot", "ModuleCat.monoidalClosed_curry", "ModuleCat.monoidalClosed_pre_app", "ModuleCat.monoidalClosed_uncurry", "ModuleCat.of_coe", "ModuleCat.projective_of_free", "ModuleCat.restrictScalars.smul_def'", "ModuleCat.restrictScalarsComp'App_inv_apply", "ModuleCat.restrictScalarsId'App_hom_apply", "ModuleCat.restrictScalarsId'App_inv_apply", "ModuleCat.restrictScalarsId'App_inv_naturality", "ModuleCat.smul_naturality", "ModuleCat.span_exact", "ModuleCat.span_rightExact", "ModuleCat.toKernelSubobject_arrow", "ModuleFilterBasis.smul", "ModuleFilterBasis.smul_left", "ModuleFilterBasis.smul_right", "MonCat.Colimits.cocone_naturality", "MonCat.Colimits.cocone_naturality_components", "MonCat.Colimits.quot_mul", "MonCat.Colimits.quot_one", "MonCat.FilteredColimits.M.mk_eq", "MonCat.FilteredColimits.colimitMulAux_eq_of_rel_left", "MonCat.FilteredColimits.colimitMulAux_eq_of_rel_right", "MonCat.FilteredColimits.colimit_mul_mk_eq", "MonCat.FilteredColimits.colimit_one_eq", "MonCat.coe_of", "MonCat.forget_map", "MonCat.mul_of", "MonCat.ofHom_apply", "Mon_.Mon_tensor_mul_assoc", "Mon_.Mon_tensor_mul_one", "Mon_.Mon_tensor_one_mul", "Mon_.associator_hom_hom", "Mon_.ext", "Mon_.forgetMonoidal_toFunctor", "Mon_.leftUnitor_hom_hom", "Mon_.leftUnitor_inv_hom", "Mon_.mul_assoc_flip", "Mon_.mul_associator", "Mon_.mul_braiding", "Mon_.mul_leftUnitor", "Mon_.mul_one_hom", "Mon_.mul_rightUnitor", "Mon_.one_associator", "Mon_.one_braiding", "Mon_.one_rightUnitor", "Mon_.rightUnitor_hom_hom", "Mon_.tensorObj_mul", "Mon_.tensorUnit_X", "Mon_.tensorUnit_mul", "Mon_.tensorUnit_one", "Mon_.tensor_mul", "Mon_.tensor_one", "Mon_.whiskerLeft_hom", "Mon_.whiskerRight_hom", "Monoid.Coprod.clift_apply_inr", "Monoid.Coprod.clift_apply_mk", "Monoid.Coprod.clift_comp_mk", "Monoid.Coprod.clift_mk", "Monoid.Coprod.closure_range_inl_union_inr", "Monoid.Coprod.codisjoint_mrange_inl_mrange_inr", "Monoid.Coprod.codisjoint_range_inl_range_inr", "Monoid.Coprod.comp_lift", "Monoid.Coprod.con_ker_mk", "Monoid.Coprod.con_mul_left_inv", "Monoid.Coprod.fst_apply_inl", "Monoid.Coprod.fst_comp_inr", "Monoid.Coprod.fst_comp_swap", "Monoid.Coprod.fst_comp_toProd", "Monoid.Coprod.fst_surjective", "Monoid.Coprod.fst_swap", "Monoid.Coprod.induction_on", "Monoid.Coprod.induction_on'", "Monoid.Coprod.inv_def", "Monoid.Coprod.lift_apply_inr", "Monoid.Coprod.lift_apply_mk", "Monoid.Coprod.lift_comp_inl", "Monoid.Coprod.lift_comp_inr", "Monoid.Coprod.lift_comp_swap", "Monoid.Coprod.lift_swap", "Monoid.Coprod.lift_unique", "Monoid.Coprod.map_apply_inl", "Monoid.Coprod.map_apply_inr", "Monoid.Coprod.map_comp_inl", "Monoid.Coprod.map_comp_map", "Monoid.Coprod.map_id_id", "Monoid.Coprod.map_map", "Monoid.Coprod.mclosure_range_inl_union_inr", "Monoid.Coprod.mk_of_inl", "Monoid.Coprod.mk_of_inr", "Monoid.Coprod.mk_of_inv_mul", "Monoid.Coprod.mrange_eq", "Monoid.Coprod.mrange_inl_sup_mrange_inr", "Monoid.Coprod.mrange_lift", "Monoid.Coprod.mrange_mk", "Monoid.Coprod.mrange_swap", "Monoid.Coprod.prod_mk_fst_snd", "Monoid.Coprod.range_eq", "Monoid.Coprod.range_inl_sup_range_inr", "Monoid.Coprod.range_swap", "Monoid.Coprod.snd_apply_inr", "Monoid.Coprod.snd_comp_inl", "Monoid.Coprod.snd_surjective", "Monoid.Coprod.snd_swap", "Monoid.Coprod.snd_toProd", "Monoid.Coprod.swap_comp_inr", "Monoid.Coprod.swap_comp_map", "Monoid.Coprod.swap_eq_one", "Monoid.Coprod.swap_injective", "Monoid.Coprod.swap_inl", "Monoid.Coprod.swap_map", "Monoid.Coprod.swap_swap", "Monoid.Coprod.toProd_apply_inr", "Monoid.Coprod.toProd_comp_inr", "Monoid.Coprod.toProd_surjective", "Monoid.CoprodI.NeWord.append_prod", "Monoid.CoprodI.NeWord.inv_head", "Monoid.CoprodI.NeWord.inv_last", "Monoid.CoprodI.NeWord.mulHead_head", "Monoid.CoprodI.NeWord.mulHead_prod", "Monoid.CoprodI.NeWord.of_word", "Monoid.CoprodI.NeWord.prod_singleton", "Monoid.CoprodI.NeWord.replaceHead_head", "Monoid.CoprodI.NeWord.singleton_last", "Monoid.CoprodI.NeWord.toList_getLast?", "Monoid.CoprodI.NeWord.toList_head?", "Monoid.CoprodI.NeWord.toList_ne_nil", "Monoid.CoprodI.Word.consRecOn_cons", "Monoid.CoprodI.Word.consRecOn_empty", "Monoid.CoprodI.Word.cons_eq_smul", "Monoid.CoprodI.Word.equivPair_eq_of_fstIdx_ne", "Monoid.CoprodI.Word.equivPair_head", "Monoid.CoprodI.Word.equivPair_head_smul_equivPair_tail", "Monoid.CoprodI.Word.equivPair_smul_same", "Monoid.CoprodI.Word.equivPair_symm", "Monoid.CoprodI.Word.equivPair_tail", "Monoid.CoprodI.Word.equivPair_tail_eq_inv_smul", "Monoid.CoprodI.Word.fstIdx_cons", "Monoid.CoprodI.Word.mem_equivPair_tail_iff", "Monoid.CoprodI.Word.mem_of_mem_equivPair_tail", "Monoid.CoprodI.Word.mem_rcons_iff", "Monoid.CoprodI.Word.mem_smul_iff", "Monoid.CoprodI.Word.of_smul_def", "Monoid.CoprodI.Word.prod_cons", "Monoid.CoprodI.Word.prod_rcons", "Monoid.CoprodI.Word.prod_smul", "Monoid.CoprodI.Word.rcons_eq_smul", "Monoid.CoprodI.Word.rcons_inj", "Monoid.CoprodI.Word.smul_eq_of_smul", "Monoid.CoprodI.empty_of_word_prod_eq_one", "Monoid.CoprodI.ext_hom", "Monoid.CoprodI.iSup_mrange_of", "Monoid.CoprodI.induction_left", "Monoid.CoprodI.induction_on", "Monoid.CoprodI.inv_def", "Monoid.CoprodI.lift_comp_of'", "Monoid.CoprodI.lift_injective_of_ping_pong", "Monoid.CoprodI.lift_mrange_le", "Monoid.CoprodI.lift_of", "Monoid.CoprodI.lift_of'", "Monoid.CoprodI.lift_range_le", "Monoid.CoprodI.lift_word_ping_pong", "Monoid.CoprodI.lift_word_prod_nontrivial_of_head_card", "Monoid.CoprodI.lift_word_prod_nontrivial_of_head_eq_last", "Monoid.CoprodI.lift_word_prod_nontrivial_of_not_empty", "Monoid.CoprodI.lift_word_prod_nontrivial_of_other_i", "Monoid.CoprodI.mclosure_iUnion_range_of", "Monoid.CoprodI.mrange_eq_iSup", "Monoid.CoprodI.of_apply", "Monoid.CoprodI.of_leftInverse", "Monoid.CoprodI.range_eq_iSup", "Monoid.ExponentExists.of_finite", "Monoid.IsTorsion.torsionMulEquiv_apply", "Monoid.IsTorsion.torsionMulEquiv_symm_apply_coe", "Monoid.IsTorsion.torsion_eq_top", "Monoid.IsTorsionFree.card_add_card_sub_one_le_card_mul", "Monoid.MulEquiv.coprodAssoc_apply_inl_inl", "Monoid.MulEquiv.coprodAssoc_apply_inl_inr", "Monoid.PushoutI.NormalWord.base_smul_def", "Monoid.PushoutI.NormalWord.base_smul_eq_smul", "Monoid.PushoutI.NormalWord.cons_eq_smul", "Monoid.PushoutI.NormalWord.eq_one_of_smul_normalized", "Monoid.PushoutI.NormalWord.ext", "Monoid.PushoutI.NormalWord.ext_iff", "Monoid.PushoutI.NormalWord.ext_smul", "Monoid.PushoutI.NormalWord.of_smul_eq_smul", "Monoid.PushoutI.NormalWord.prod_base_smul", "Monoid.PushoutI.NormalWord.prod_cons", "Monoid.PushoutI.NormalWord.prod_injective", "Monoid.PushoutI.NormalWord.prod_smul", "Monoid.PushoutI.NormalWord.prod_smul_empty", "Monoid.PushoutI.NormalWord.prod_summand_smul", "Monoid.PushoutI.NormalWord.rcons_injective", "Monoid.PushoutI.NormalWord.summand_smul_def", "Monoid.PushoutI.NormalWord.transversal_nonempty", "Monoid.PushoutI.Reduced.eq_empty_of_mem_range", "Monoid.PushoutI.Reduced.exists_normalWord_prod_eq", "Monoid.PushoutI.base_injective", "Monoid.PushoutI.hom_ext", "Monoid.PushoutI.hom_ext_nonempty", "Monoid.PushoutI.induction_on", "Monoid.PushoutI.inf_of_range_eq_base_range", "Monoid.PushoutI.lift_base", "Monoid.PushoutI.lift_of", "Monoid.PushoutI.ofCoprodI_of", "Monoid.PushoutI.of_apply_eq_base", "Monoid.PushoutI.of_comp_eq_base", "Monoid.PushoutI.of_injective", "Monoid.closure_mono", "Monoid.closure_singleton", "Monoid.closure_subset", "Monoid.coe_mul", "Monoid.coe_one", "Monoid.exists_list_of_mem_closure", "Monoid.exists_orderOf_eq_exponent", "Monoid.exp_eq_one_iff", "Monoid.exp_eq_one_of_subsingleton", "Monoid.exponent_dvd", "Monoid.exponent_dvd_iff_forall_pow_eq_one", "Monoid.exponent_dvd_of_forall_orderOf_dvd", "Monoid.exponent_dvd_of_monoidHom", "Monoid.exponent_eq_iSup_orderOf", "Monoid.exponent_eq_iSup_orderOf'", "Monoid.exponent_eq_max'_orderOf", "Monoid.exponent_eq_of_mulEquiv", "Monoid.exponent_eq_prime_iff", "Monoid.exponent_eq_zero_iff_forall", "Monoid.exponent_eq_zero_iff_range_orderOf_infinite", "Monoid.exponent_eq_zero_of_order_zero", "Monoid.exponent_min", "Monoid.exponent_min'", "Monoid.exponent_multiplicative", "Monoid.exponent_ne_zero", "Monoid.exponent_ne_zero_iff_range_orderOf_finite", "Monoid.exponent_pi", "Monoid.exponent_pi_eq_zero", "Monoid.exponent_pos_of_exists", "Monoid.ext", "Monoid.fg_iff", "Monoid.fg_iff_add_fg", "Monoid.fg_iff_submonoid_fg", "Monoid.fg_of_surjective", "Monoid.image_closure", "Monoid.isTorsionFree_iff_torsion_eq_bot", "Monoid.lcm_orderOf_dvd_exponent", "Monoid.lcm_orderOf_eq_exponent", "Monoid.le_minOrder", "Monoid.le_minOrder_iff_forall_subgroup", "Monoid.mem_closure_union_iff", "Monoid.minOrder_eq_top", "Monoid.minOrder_le_natCard", "Monoid.minOrder_le_orderOf", "Monoid.not_isTorsionFree_iff", "Monoid.one_lt_exponent", "Monoid.order_dvd_exponent", "Monoid.pow_eq_mod_exponent", "Monoid.pow_exponent_eq_one", "MonoidAlgebra.GroupSMul.linearMap_apply", "MonoidAlgebra.Submodule.exists_isCompl", "MonoidAlgebra.algHom_ext", "MonoidAlgebra.algHom_ext'", "MonoidAlgebra.domCongr_apply", "MonoidAlgebra.domCongr_single", "MonoidAlgebra.domCongr_toAlgHom", "MonoidAlgebra.exists_finset_adjoin_eq_top", "MonoidAlgebra.exists_leftInverse_of_injective", "MonoidAlgebra.finiteType_iff_fg", "MonoidAlgebra.finiteType_iff_group_fg", "MonoidAlgebra.freeAlgebra_lift_of_surjective_of_closure", "MonoidAlgebra.induction_on", "MonoidAlgebra.intCast_def", "MonoidAlgebra.liftNC_mul", "MonoidAlgebra.liftNC_one", "MonoidAlgebra.liftNC_smul", "MonoidAlgebra.lift_apply", "MonoidAlgebra.lift_apply'", "MonoidAlgebra.lift_of", "MonoidAlgebra.lift_single", "MonoidAlgebra.lift_unique", "MonoidAlgebra.lift_unique'", "MonoidAlgebra.mapDomainAlgHom_id", "MonoidAlgebra.mapDomain_algebraMap", "MonoidAlgebra.mapDomain_mul", "MonoidAlgebra.mapDomain_one", "MonoidAlgebra.mapDomain_sum", "MonoidAlgebra.mem_adjoin_support", "MonoidAlgebra.mem_closure_of_mem_span_closure", "MonoidAlgebra.mem_ideal_span_of_image", "MonoidAlgebra.mem_span_support", "MonoidAlgebra.mul_apply", "MonoidAlgebra.mul_apply_antidiagonal", "MonoidAlgebra.mul_apply_left", "MonoidAlgebra.mul_apply_mul_eq_mul_of_uniqueMul", "MonoidAlgebra.mul_apply_right", "MonoidAlgebra.mul_def", "MonoidAlgebra.mul_single_apply_aux", "MonoidAlgebra.mul_single_apply_of_not_exists_mul", "MonoidAlgebra.mul_single_one_apply", "MonoidAlgebra.mvPolynomial_aeval_of_surjective_of_closure", "MonoidAlgebra.natCast_def", "MonoidAlgebra.nonUnitalAlgHom_ext", "MonoidAlgebra.nonUnitalAlgHom_ext'", "MonoidAlgebra.of_injective", "MonoidAlgebra.of_mem_span_of_iff", "MonoidAlgebra.one_def", "MonoidAlgebra.prod_single", "MonoidAlgebra.ringHom_ext", "MonoidAlgebra.ringHom_ext'", "MonoidAlgebra.single_add", "MonoidAlgebra.single_algebraMap_eq_algebraMap_mul_of", "MonoidAlgebra.single_apply", "MonoidAlgebra.single_commute", "MonoidAlgebra.single_eq_algebraMap_mul_of", "MonoidAlgebra.single_eq_zero", "MonoidAlgebra.single_mul_apply_aux", "MonoidAlgebra.single_mul_apply_of_not_exists_mul", "MonoidAlgebra.single_mul_single", "MonoidAlgebra.single_one_comm", "MonoidAlgebra.single_one_mul_apply", "MonoidAlgebra.single_pow", "MonoidAlgebra.single_zero", "MonoidAlgebra.smul_of", "MonoidAlgebra.sum_single_index", "MonoidAlgebra.support_gen_of_gen", "MonoidAlgebra.support_gen_of_gen'", "MonoidAlgebra.support_mul", "MonoidAlgebra.support_mul_single", "MonoidAlgebra.support_mul_single_eq_image", "MonoidAlgebra.support_mul_single_subset", "MonoidAlgebra.support_one_subset", "MonoidAlgebra.support_single_mul", "MonoidAlgebra.support_single_mul_eq_image", "MonoidAlgebra.support_single_mul_subset", "MonoidHom.CompTriple.comp_apply", "MonoidHom.CompTriple.comp_assoc", "MonoidHom.CompTriple.comp_inv", "MonoidHom.FixedPointFree.coe_eq_inv_of_sq_eq_one", "MonoidHom.FixedPointFree.commutatorMap_injective", "MonoidHom.FixedPointFree.commutatorMap_surjective", "MonoidHom.FixedPointFree.commute_all_of_involutive", "MonoidHom.FixedPointFree.odd_card_of_involutive", "MonoidHom.FixedPointFree.odd_orderOf_of_involutive", "MonoidHom.FixedPointFree.orderOf_ne_two_of_involutive", "MonoidHom.FixedPointFree.prod_pow_eq_one", "MonoidHom.apply_mint", "MonoidHom.apply_mnat", "MonoidHom.apply_ofInjective_symm", "MonoidHom.cancel_left", "MonoidHom.cancel_right", "MonoidHom.card_fiber_eq_of_mem_range", "MonoidHom.closure_preimage_le", "MonoidHom.coe_coe", "MonoidHom.coe_comp", "MonoidHom.coe_comp_rangeRestrict", "MonoidHom.coe_copy", "MonoidHom.coe_finsupp_prod", "MonoidHom.coe_fst", "MonoidHom.coe_ker", "MonoidHom.coe_mk", "MonoidHom.coe_mrange", "MonoidHom.coe_mrangeRestrict", "MonoidHom.coe_ofClosureMEqTopRight", "MonoidHom.coe_of_map_div", "MonoidHom.coe_of_map_mul_inv", "MonoidHom.coe_prod", "MonoidHom.coe_range", "MonoidHom.coe_toAdditive'", "MonoidHom.coe_toAdditive''", "MonoidHom.coe_toHomUnits", "MonoidHom.comap_bot", "MonoidHom.comap_bot'", "MonoidHom.comap_mker", "MonoidHom.commutatorMap_apply", "MonoidHom.commute_inl_inr", "MonoidHom.compAddChar_apply", "MonoidHom.compAddChar_injective_left", "MonoidHom.compAddChar_injective_right", "MonoidHom.comp_apply", "MonoidHom.comp_assoc", "MonoidHom.comp_coprod", "MonoidHom.comp_div", "MonoidHom.comp_id", "MonoidHom.comp_id_commGrp", "MonoidHom.comp_id_grp", "MonoidHom.comp_id_monCat", "MonoidHom.comp_inv", "MonoidHom.comp_mul", "MonoidHom.comp_one", "MonoidHom.comp_toFunctor", "MonoidHom.compl\u2082_apply", "MonoidHom.compr\u2082_apply", "MonoidHom.coprod_apply", "MonoidHom.coprod_comp_inl", "MonoidHom.coprod_comp_inr", "MonoidHom.coprod_inl_inr", "MonoidHom.coprod_unique", "MonoidHom.dfinsupp_prod_apply", "MonoidHom.div_apply", "MonoidHom.div_comp", "MonoidHom.eqLocusM_same", "MonoidHom.eqLocus_same", "MonoidHom.eqOn_closureM", "MonoidHom.eq_iff", "MonoidHom.eq_iff_eq_on_generator", "MonoidHom.eq_liftOfRightInverse", "MonoidHom.eq_of_eqOn_topM", "MonoidHom.exponent_dvd", "MonoidHom.ext_iff\u2082", "MonoidHom.ext_int", "MonoidHom.ext_mint", "MonoidHom.ext_mnat", "MonoidHom.finset_prod_apply", "MonoidHom.finsupp_prod_apply", "MonoidHom.flip_apply", "MonoidHom.fst_comp_inl", "MonoidHom.fst_comp_inr", "MonoidHom.fst_comp_prod", "MonoidHom.functions_ext", "MonoidHom.id_grp_comp", "MonoidHom.id_toFunctor", "MonoidHom.independent_range_of_coprime_order", "MonoidHom.injective_noncommPiCoprod_of_independent", "MonoidHom.inl_apply", "MonoidHom.inr_apply", "MonoidHom.inv_apply", "MonoidHom.inv_comp", "MonoidHom.isClosed_range_coe", "MonoidHom.isGroupHom", "MonoidHom.isMonoidHom_coe", "MonoidHom.isOfFinOrder", "MonoidHom.isOpenMap_of_sigmaCompact", "MonoidHom.ker_codRestrict", "MonoidHom.ker_eq_bot_iff", "MonoidHom.ker_eq_bot_of_cancel", "MonoidHom.ker_id", "MonoidHom.ker_one", "MonoidHom.ker_prod", "MonoidHom.ker_rangeRestrict", "MonoidHom.ker_snd", "MonoidHom.ker_toHomUnits", "MonoidHom.ker_transferSylow_isComplement'", "MonoidHom.liftOfRightInverseAux_comp_apply", "MonoidHom.liftOfRightInverse_comp", "MonoidHom.liftOfRightInverse_comp_apply", "MonoidHom.map_closure", "MonoidHom.map_cyclic", "MonoidHom.map_dvd", "MonoidHom.map_exists_left_inv", "MonoidHom.map_finprod", "MonoidHom.map_finprod_Prop", "MonoidHom.map_finprod_mem'", "MonoidHom.map_finprod_of_injective", "MonoidHom.map_finprod_of_preimage_one", "MonoidHom.map_finprod_plift", "MonoidHom.map_frobenius", "MonoidHom.map_inv", "MonoidHom.map_isConj", "MonoidHom.map_iterate_frobenius", "MonoidHom.map_list_prod", "MonoidHom.map_mclosure", "MonoidHom.map_mrange", "MonoidHom.map_mul", "MonoidHom.map_mulIndicator", "MonoidHom.map_mul_inv", "MonoidHom.map_multiset_prod", "MonoidHom.map_neg", "MonoidHom.map_neg_one", "MonoidHom.map_one", "MonoidHom.map_one\u2082", "MonoidHom.map_range", "MonoidHom.map_sub_swap", "MonoidHom.map_zpow", "MonoidHom.map_zpow'", "MonoidHom.map_zpowers", "MonoidHom.mclosure_preimage_le", "MonoidHom.mclosure_range", "MonoidHom.mem_ker", "MonoidHom.mem_mker", "MonoidHom.mem_mrange", "MonoidHom.mem_range", "MonoidHom.mk_coe", "MonoidHom.mker_fst", "MonoidHom.mker_inr", "MonoidHom.mker_one", "MonoidHom.mker_prod_map", "MonoidHom.mker_snd", "MonoidHom.mrangeRestrict_surjective", "MonoidHom.mrange_eq_map", "MonoidHom.mrange_id", "MonoidHom.mrange_top_iff_surjective", "MonoidHom.mrange_top_of_surjective", "MonoidHom.mulSingle_apply", "MonoidHom.mul_apply", "MonoidHom.mul_comp", "MonoidHom.noncommCoprod_comp_inl", "MonoidHom.noncommCoprod_comp_inr", "MonoidHom.noncommCoprod_inl_inr", "MonoidHom.noncommCoprod_unique", "MonoidHom.noncommPiCoprod_mrange", "MonoidHom.noncommPiCoprod_mulSingle", "MonoidHom.noncommPiCoprod_range", "MonoidHom.ofInjective_apply", "MonoidHom.ofLeftInverse_apply", "MonoidHom.ofLeftInverse_symm_apply", "MonoidHom.one_apply", "MonoidHom.one_comp", "MonoidHom.pi_ext", "MonoidHom.pow_apply", "MonoidHom.preimage_smul_set\u209b\u2097", "MonoidHom.prodMap_comap_prod", "MonoidHom.prodMap_def", "MonoidHom.prod_map_comap_prod'", "MonoidHom.prod_unique", "MonoidHom.rangeRestrict_injective_iff", "MonoidHom.range_eq_map", "MonoidHom.range_eq_top_of_cancel", "MonoidHom.range_le_ker_iff", "MonoidHom.range_top_iff_surjective", "MonoidHom.range_top_of_surjective", "MonoidHom.restrict_apply", "MonoidHom.restrict_mker", "MonoidHom.restrict_mrange", "MonoidHom.restrict_range", "MonoidHom.snd_comp_inr", "MonoidHom.snd_comp_prod", "MonoidHom.subgroupOf_range_eq_of_le", "MonoidHom.submonoidMap_surjective", "MonoidHom.subtype_comp_rangeRestrict", "MonoidHom.tendsto_coe_cofinite_of_discrete", "MonoidHom.toFun_eq_coe", "MonoidHom.toMulHom_coe", "MonoidHom.toMulHom_injective", "MonoidHom.toOneHom_coe", "MonoidHom.toOneHom_injective", "MonoidHom.transferCenterPow_apply", "MonoidHom.transferSylow_eq_pow_aux", "MonoidHom.transferSylow_restrict_eq_pow", "MonoidHom.transfer_center_eq_pow", "MonoidHom.transfer_def", "MonoidHom.transfer_eq_pow", "MonoidHom.transfer_eq_pow_aux", "MonoidHom.transfer_eq_prod_quotient_orbitRel_zpowers_quot", "MonoidHom.unop_map_list_prod", "MonoidHomClass.antilipschitz_of_bound", "MonoidHomClass.continuous_of_bound", "MonoidHomClass.isMulFreimanHom", "MonoidHomClass.isometry_iff_norm", "MonoidHomClass.lipschitz_of_bound", "MonoidHomClass.lipschitz_of_bound_nnnorm", "MonoidWithZeroHom.cancel_left", "MonoidWithZeroHom.coe_coe", "MonoidWithZeroHom.coe_comp", "MonoidWithZeroHom.coe_mk", "MonoidWithZeroHom.comp_id", "MonoidWithZeroHom.ext", "MonoidWithZeroHom.ext_int", "MonoidWithZeroHom.ext_nat", "MonoidWithZeroHom.ext_rat'", "MonoidWithZeroHom.ext_rat_on_pnat", "MonoidWithZeroHom.id_comp", "MonoidWithZeroHom.map_mul", "MonoidWithZeroHom.map_zero", "MonoidWithZeroHom.toZeroHom_coe", "MonoidWithZeroHom.toZeroHom_injective", "Monotone.Icc", "Monotone.Ici", "Monotone.IciExtend", "Monotone.Iic", "Monotone.IicExtend", "Monotone.Iio", "Monotone.Ioc", "Monotone.Ioo", "Monotone.ae_differentiableAt", "Monotone.ae_hasDerivAt", "Monotone.alternating_series_le_tendsto", "Monotone.antitone_iterate_of_map_le", "Monotone.antivary", "Monotone.ball", "Monotone.biUnion_Ico_Ioc_map_succ", "Monotone.cauchySeq_alternating_series_of_tendsto_zero", "Monotone.cauchySeq_series_mul_of_tendsto_zero_of_bounded", "Monotone.ciSup_mem_iInter_Icc_of_antitone", "Monotone.codRestrict", "Monotone.comp", "Monotone.compRel", "Monotone.comp_antitone", "Monotone.comp_antitoneOn", "Monotone.comp_le_comp_left", "Monotone.comp_monotoneOn", "Monotone.const_mul'", "Monotone.const_mul_of_nonpos", "Monotone.continuousAt_iff_leftLim_eq_rightLim", "Monotone.continuousWithinAt_Iio_iff_leftLim_eq", "Monotone.continuousWithinAt_Ioi_iff_rightLim_eq", "Monotone.continuous_of_denseRange", "Monotone.continuous_of_surjective", "Monotone.convex_ge", "Monotone.convex_le", "Monotone.countable_not_continuousAt", "Monotone.countable_not_continuousWithinAt_Ioi", "Monotone.covariant_of_const", "Monotone.covariant_of_const'", "Monotone.csInf_image_le", "Monotone.directed_ge", "Monotone.disjointed_succ", "Monotone.disjointed_succ_sup", "Monotone.div_const", "Monotone.eq_of_le_of_le", "Monotone.exists", "Monotone.forall", "Monotone.forall_le_of_antitone", "Monotone.functor_obj", "Monotone.ge_of_tendsto", "Monotone.iInf_comp_eq", "Monotone.image_Ici_subset", "Monotone.image_lowerBounds_subset_lowerBounds_image", "Monotone.image_upperBounds_subset_upperBounds_image", "Monotone.imp", "Monotone.inf", "Monotone.isBoundedUnder_ge_comp", "Monotone.isBoundedUnder_le_comp", "Monotone.isBoundedUnder_le_comp_iff", "Monotone.isChain_range", "Monotone.iterate", "Monotone.iterate_comp_le_of_le", "Monotone.iterate_le_of_le", "Monotone.le_csInf_image", "Monotone.le_iterate_comp_of_le", "Monotone.le_iterate_of_le", "Monotone.le_leftLim", "Monotone.le_map_iSup", "Monotone.le_map_iSup\u2082", "Monotone.le_map_sSup", "Monotone.le_map_sup", "Monotone.le_of_tendsto", "Monotone.le_rightLim", "Monotone.leftLim", "Monotone.leftLim_le", "Monotone.leftLim_le_rightLim", "Monotone.locallyIntegrable", "Monotone.map_bddAbove", "Monotone.map_bddBelow", "Monotone.map_ciSup_of_continuousAt", "Monotone.map_csInf_of_continuousAt", "Monotone.map_csSup_of_continuousAt", "Monotone.map_finset_max'", "Monotone.map_finset_min'", "Monotone.map_iInf_le", "Monotone.map_iInf_of_continuousAt", "Monotone.map_iInf_of_continuousAt'", "Monotone.map_iSup_of_continuousAt", "Monotone.map_iSup_of_continuousAt'", "Monotone.map_inf", "Monotone.map_isGreatest", "Monotone.map_isLeast", "Monotone.map_limsInf_of_continuousAt", "Monotone.map_limsSup_of_continuousAt", "Monotone.map_limsup_of_continuousAt", "Monotone.map_max", "Monotone.map_sInf_le", "Monotone.map_sSup_of_continuousAt'", "Monotone.map_sup", "Monotone.mapsTo_Ici", "Monotone.mapsTo_Iic", "Monotone.mapsTo_uIcc", "Monotone.measurable", "Monotone.min", "Monotone.monotone_iterate_of_le_map", "Monotone.mul", "Monotone.mulIndicator_eventuallyEq_iUnion", "Monotone.mul_antitone", "Monotone.mul_const", "Monotone.mul_const_of_nonpos", "Monotone.mul_strictMono", "Monotone.mul_strictMono'", "Monotone.ne_of_lt_of_lt_int", "Monotone.ne_of_lt_of_lt_nat", "Monotone.of_map_inf", "Monotone.of_map_sup", "Monotone.pairwise_disjoint_on_Ico_pred", "Monotone.pairwise_disjoint_on_Ico_succ", "Monotone.pairwise_disjoint_on_Ioc_pred", "Monotone.pairwise_disjoint_on_Ioc_succ", "Monotone.pairwise_disjoint_on_Ioo_succ", "Monotone.partialSups_eq", "Monotone.piecewise_eventually_eq_iUnion", "Monotone.pow_const", "Monotone.prod_map", "Monotone.quasiconcaveOn", "Monotone.quasilinearOn", "Monotone.rangeFactorization", "Monotone.rightLim_eq_sInf", "Monotone.rightLim_le", "Monotone.rightLim_le_leftLim", "Monotone.seq_le_seq", "Monotone.seq_lt_seq_of_le_of_lt", "Monotone.seq_lt_seq_of_lt_of_le", "Monotone.seq_pos_lt_seq_of_le_of_lt", "Monotone.seq_pos_lt_seq_of_lt_of_le", "Monotone.set_prod", "Monotone.strictMono_iff_injective", "Monotone.sup", "Monotone.tendsto_alternating_series_of_tendsto_zero", "Monotone.tendsto_le_alternating_series", "Monotone.tendsto_leftLim", "Monotone.tendsto_leftLim_within", "Monotone.tendsto_nhdsWithin_Iio", "Monotone.tendsto_nhdsWithin_Ioi", "Monotone.tendsto_rightLim_within", "Monotone.vecCons", "MonotoneOn.Ici", "MonotoneOn.Iic", "MonotoneOn.Iic_union_Ici", "MonotoneOn.Iio", "MonotoneOn.Ioc", "MonotoneOn.Ioi", "MonotoneOn.ae_differentiableWithinAt", "MonotoneOn.ae_differentiableWithinAt_of_mem", "MonotoneOn.antivaryOn", "MonotoneOn.congr", "MonotoneOn.convexOn_of_deriv", "MonotoneOn.convex_ge", "MonotoneOn.convex_gt", "MonotoneOn.convex_le", "MonotoneOn.convex_lt", "MonotoneOn.eVariationOn_le", "MonotoneOn.exists_monotone_extension", "MonotoneOn.image_Ici_subset", "MonotoneOn.image_lowerBounds_subset_lowerBounds_image", "MonotoneOn.image_uIcc_subset", "MonotoneOn.image_upperBounds_subset_upperBounds_image", "MonotoneOn.integrableOn_of_measure_ne_top", "MonotoneOn.integral_le_sum", "MonotoneOn.integral_le_sum_Ico", "MonotoneOn.intervalIntegrable", "MonotoneOn.locallyBoundedVariationOn", "MonotoneOn.map_bddAbove", "MonotoneOn.map_bddBelow", "MonotoneOn.map_csInf", "MonotoneOn.map_isGreatest", "MonotoneOn.map_isLeast", "MonotoneOn.map_max", "MonotoneOn.map_min", "MonotoneOn.map_sup", "MonotoneOn.mapsTo_Icc", "MonotoneOn.mapsTo_uIcc", "MonotoneOn.max", "MonotoneOn.mem_lowerBounds_image", "MonotoneOn.mem_lowerBounds_image_self", "MonotoneOn.mem_upperBounds_image", "MonotoneOn.min", "MonotoneOn.monotone", "MonotoneOn.mul'", "MonotoneOn.mul_strictMono'", "MonotoneOn.of_map_inf", "MonotoneOn.quasilinearOn", "MonotoneOn.set_prod", "MonotoneOn.sum_le_integral", "MonotoneOn.sum_le_integral_Ico", "MonotoneOn.sup", "MonotoneOn.union", "MonotoneOn.union_right", "Monovary.comp_antitone_left", "Monovary.comp_monotone_left", "Monovary.comp_right", "Monovary.div_left", "Monovary.div_left\u2080", "Monovary.div_right", "Monovary.div_right\u2080", "Monovary.dual", "Monovary.dual_left", "Monovary.mul_left\u2080", "Monovary.mul_right", "Monovary.mul_right\u2080", "Monovary.pow_left", "Monovary.pow_left\u2080", "Monovary.pow_right\u2080", "Monovary.sum_comp_perm_mul_le_sum_mul", "Monovary.sum_comp_perm_mul_lt_sum_mul_iff", "Monovary.sum_comp_perm_smul_eq_sum_smul_iff", "Monovary.sum_comp_perm_smul_le_sum_smul", "Monovary.sum_comp_perm_smul_lt_sum_smul_iff", "Monovary.sum_smul_comp_perm_eq_sum_smul_iff", "Monovary.sum_smul_comp_perm_le_sum_smul", "Monovary.sum_smul_comp_perm_lt_sum_smul_iff", "Monovary.sum_smul_sum_le_card_smul_sum", "Monovary.symm", "MonovaryOn.comp_antitoneOn_right", "MonovaryOn.comp_monotoneOn_right", "MonovaryOn.comp_monotone_on_left", "MonovaryOn.comp_right", "MonovaryOn.div_left\u2080", "MonovaryOn.div_right", "MonovaryOn.div_right\u2080", "MonovaryOn.dual", "MonovaryOn.dual_left", "MonovaryOn.dual_right", "MonovaryOn.empty", "MonovaryOn.mul_left", "MonovaryOn.mul_left\u2080", "MonovaryOn.mul_right", "MonovaryOn.mul_right\u2080", "MonovaryOn.pow_left\u2080", "MonovaryOn.pow_right\u2080", "MonovaryOn.sum_comp_perm_mul_eq_sum_mul_iff", "MonovaryOn.sum_comp_perm_mul_le_sum_mul", "MonovaryOn.sum_comp_perm_mul_lt_sum_mul_iff", "MonovaryOn.sum_comp_perm_smul_eq_sum_smul_iff", "MonovaryOn.sum_comp_perm_smul_le_sum_smul", "MonovaryOn.sum_comp_perm_smul_lt_sum_smul_iff", "MonovaryOn.sum_mul_comp_perm_eq_sum_mul_iff", "MonovaryOn.sum_mul_comp_perm_lt_sum_mul_iff", "MonovaryOn.sum_mul_sum_le_card_mul_sum", "MonovaryOn.sum_smul_comp_perm_eq_sum_smul_iff", "MonovaryOn.sum_smul_comp_perm_le_sum_smul", "MonovaryOn.sum_smul_comp_perm_lt_sum_smul_iff", "MonovaryOn.sum_smul_sum_le_card_smul_sum", "MonovaryOn.symm", "MulAction.IsBlock.def", "MulAction.IsBlock.def_mem", "MulAction.IsBlock.def_one", "MulAction.IsBlock.iInter", "MulAction.IsBlock.iff_subtype_val", "MulAction.IsBlock.iff_top", "MulAction.IsBlock.image", "MulAction.IsBlock.inter", "MulAction.IsBlock.isBlockSystem", "MulAction.IsBlock.mk_mem", "MulAction.IsBlock.mk_notempty", "MulAction.IsBlock.mk_notempty_one", "MulAction.IsBlock.mk_subset", "MulAction.IsBlock.of_subgroup_of_conjugate", "MulAction.IsBlock.preimage", "MulAction.IsBlock.smul_eq_or_disjoint", "MulAction.IsBlock.subtype_val_preimage", "MulAction.IsBlock.translate", "MulAction.IsFixedBlock.isBlock", "MulAction.IsInvariantBlock.isFixedBlock", "MulAction.IsPartition.of_orbits", "MulAction.IsPretransitive.of_compHom", "MulAction.IsPretransitive.of_isScalarTower", "MulAction.IsPretransitive.of_smul_eq", "MulAction.Quotient.coe_smul_out'", "MulAction.Quotient.smul_coe", "MulAction.Quotient.smul_mk", "MulAction.Supports.mono", "MulAction.Supports.smul", "MulAction.automorphize_smul_left", "MulAction.bijective", "MulAction.bijective\u2080", "MulAction.card_eq_sum_card_group_div_card_stabilizer", "MulAction.card_eq_sum_card_group_div_card_stabilizer'", "MulAction.card_orbit_mul_card_stabilizer_eq_card_group", "MulAction.continuousSMul_compHom", "MulAction.dense_orbit", "MulAction.disjoint_image_image_iff", "MulAction.exists_smul_eq", "MulAction.fixedBy_eq_univ_iff_eq_one", "MulAction.fixedBy_inv", "MulAction.fixedBy_mem_fixedBy_of_commute", "MulAction.fixedBy_mul", "MulAction.fixedBy_subset_fixedBy_zpow", "MulAction.image_inter_image_iff", "MulAction.injective_ofQuotientStabilizer", "MulAction.injective\u2080", "MulAction.isBlock_empty", "MulAction.isBlock_orbit", "MulAction.isBlock_singleton", "MulAction.isBlock_subsingleton", "MulAction.isBlock_top", "MulAction.isClosedMap_quotient", "MulAction.isFixedBlock_orbit", "MulAction.isFixedBlock_top", "MulAction.isPeriodicPt_smul_iff", "MulAction.isPretransitive_compHom", "MulAction.le_stabilizer_iff_smul_le", "MulAction.le_stabilizer_smul_left", "MulAction.le_stabilizer_smul_right", "MulAction.map_stabilizer_le", "MulAction.mem_fixedBy", "MulAction.mem_fixedPoints_iff_card_orbit_eq_one", "MulAction.mem_orbit", "MulAction.mem_orbit_iff", "MulAction.mem_orbit_of_mem_orbit_submonoid", "MulAction.mem_orbit_self", "MulAction.mem_orbit_smul", "MulAction.mem_orbit_symm", "MulAction.mem_stabilizer_finset", "MulAction.mem_stabilizer_finset'", "MulAction.mem_stabilizer_finset_iff_smul_finset_subset", "MulAction.mem_stabilizer_finset_iff_subset_smul_finset", "MulAction.mem_stabilizer_iff", "MulAction.mem_stabilizer_of_finite_iff_le_smul", "MulAction.mem_stabilizer_of_finite_iff_smul_le", "MulAction.mem_stabilizer_set", "MulAction.mem_stabilizer_set'", "MulAction.mem_stabilizer_set_iff_smul_set_subset", "MulAction.mem_stabilizer_set_iff_subset_smul_set", "MulAction.mem_subgroup_orbit_iff", "MulAction.minimalPeriod_eq_card", "MulAction.movedBy_mem_fixedBy_of_commute", "MulAction.mul_stabilizer_self", "MulAction.not_commute_of_disjoint_movedBy_preimage", "MulAction.orbit.coe_smul", "MulAction.orbit.eq_or_disjoint", "MulAction.orbit.isBlock_of_normal", "MulAction.orbit.pairwiseDisjoint", "MulAction.orbitEquivQuotientStabilizer_symm_apply", "MulAction.orbitRel.Quotient.mapsTo_smul_orbit", "MulAction.orbitRel.Quotient.mem_orbit", "MulAction.orbitRel.Quotient.mem_subgroup_orbit_iff", "MulAction.orbitRel.Quotient.mem_subgroup_orbit_iff'", "MulAction.orbitRel.Quotient.orbit.coe_smul", "MulAction.orbitRel.Quotient.orbit_eq_orbit_out", "MulAction.orbitRel.Quotient.orbit_injective", "MulAction.orbitRel.Quotient.orbit_mk", "MulAction.orbitRel.Quotient.orbit_nonempty", "MulAction.orbitRel.Quotient.subgroup_quotient_eq_iff", "MulAction.orbitRel.quotient_eq_of_quotient_subgroup_eq", "MulAction.orbitRel_le_fst", "MulAction.orbitRel_le_snd", "MulAction.orbitRel_r_apply", "MulAction.orbitRel_subgroup_le", "MulAction.orbitZPowersEquiv_symm_apply", "MulAction.orbitZPowersEquiv_symm_apply'", "MulAction.orbit_eq_iff", "MulAction.orbit_eq_univ", "MulAction.orbit_nonempty", "MulAction.orbit_smul_subset", "MulAction.orbit_submonoid_subset", "MulAction.period_bounded_of_exponent_pos", "MulAction.period_dvd_exponent", "MulAction.period_dvd_orderOf", "MulAction.period_eq_minimalPeriod", "MulAction.period_inv", "MulAction.period_le_exponent", "MulAction.period_le_of_fixed", "MulAction.period_one", "MulAction.period_pos_of_fixed", "MulAction.period_pos_of_orderOf_pos", "MulAction.pow_add_period_smul", "MulAction.pow_mod_period_smul", "MulAction.pow_period_add_smul", "MulAction.pow_period_smul", "MulAction.pow_smul_eq_iff_minimalPeriod_dvd", "MulAction.pow_smul_eq_iff_period_dvd", "MulAction.pow_smul_mod_minimalPeriod", "MulAction.pow_smul_ne_of_lt_period", "MulAction.pretransitive_iff_subsingleton_quotient", "MulAction.pretransitive_iff_unique_quotient_of_nonempty", "MulAction.quotient_preimage_image_eq_union_mul", "MulAction.set_mem_fixedBy_iff", "MulAction.set_mem_fixedBy_of_movedBy_subset", "MulAction.set_mem_fixedBy_of_subset_fixedBy", "MulAction.smul_bijective_of_is_unit", "MulAction.smul_fixedBy", "MulAction.smul_inv_mem_fixedBy_iff_mem_fixedBy", "MulAction.smul_mem_fixedBy_iff_mem_fixedBy", "MulAction.smul_mem_of_set_mem_fixedBy", "MulAction.smul_mem_orbit_smul", "MulAction.smul_orbit_eq_orbit_smul", "MulAction.smul_orbit_subset", "MulAction.smul_subset_of_set_mem_fixedBy", "MulAction.smul_zpow_fixedBy_eq_of_commute", "MulAction.smul_zpow_movedBy_eq_of_commute", "MulAction.snd_mem_orbit_of_mem_orbit", "MulAction.stabilizer_coe_finset", "MulAction.stabilizer_empty", "MulAction.stabilizer_finset_empty", "MulAction.stabilizer_finset_singleton", "MulAction.stabilizer_image_coe_quotient", "MulAction.stabilizer_mul_eq_right", "MulAction.stabilizer_mul_self", "MulAction.stabilizer_op_subgroup", "MulAction.stabilizer_singleton", "MulAction.stabilizer_smul_eq_left", "MulAction.stabilizer_smul_eq_stabilizer_map_conj", "MulAction.stabilizer_subgroup", "MulAction.stabilizer_subgroup_op", "MulAction.stabilizer_univ", "MulAction.sum_card_fixedBy_eq_card_orbits_mul_card_group", "MulAction.surjective", "MulAction.surjective_smul", "MulAction.surjective\u2080", "MulAction.zpow_mod_period_smul", "MulAction.zpow_smul_eq_iff_minimalPeriod_dvd", "MulAction.zpow_smul_eq_iff_period_dvd", "MulAction.zpow_smul_mod_minimalPeriod", "MulAction.zpowersQuotientStabilizerEquiv_symm_apply", "MulActionHom.comp_apply", "MulActionHom.comp_assoc", "MulActionHom.comp_id", "MulActionHom.comp_inverse'", "MulActionHom.congr_fun", "MulActionHom.ext_iff", "MulActionHom.id_apply", "MulActionHom.inverse'_comp", "MulActionHom.inverse'_inverse'", "MulActionHom.inverse_eq_inverse'", "MulActionHom.ofEq_apply", "MulActionHom.ofEq_coe", "MulActionWithZero.nontrivial", "MulActionWithZero.subsingleton", "MulAut.coe_one", "MulAut.conjNormal_inv_apply", "MulAut.conjNormal_symm_apply", "MulAut.conjNormal_val", "MulAut.conj_apply", "MulAut.conj_inv_apply", "MulAut.conj_symm_apply", "MulAut.inv_def", "MulAut.mul_apply", "MulAut.one_apply", "MulAut.one_def", "MulChar.IsNontrivial.sum_eq_zero", "MulChar.IsQuadratic.eq_of_eq_coe", "MulChar.IsQuadratic.gaussSum_frob", "MulChar.IsQuadratic.gaussSum_frob_iter", "MulChar.IsQuadratic.inv", "MulChar.IsQuadratic.pow_char", "MulChar.IsQuadratic.pow_even", "MulChar.IsQuadratic.pow_odd", "MulChar.IsQuadratic.sq_eq_one", "MulChar.coeToFun_mul", "MulChar.coe_equivToUnitHom", "MulChar.coe_toUnitHom", "MulChar.equivToUnitHom_mul_apply", "MulChar.ext", "MulChar.ext'", "MulChar.injective_ringHomComp", "MulChar.inv_apply", "MulChar.inv_apply'", "MulChar.inv_apply_eq_inv", "MulChar.inv_apply_eq_inv'", "MulChar.inv_mul", "MulChar.isNontrivial_iff", "MulChar.map_nonunit", "MulChar.map_one", "MulChar.map_ringChar", "MulChar.map_zero", "MulChar.mul_one", "MulChar.ne_one_iff", "MulChar.ofUnitHom_coe", "MulChar.one_apply", "MulChar.one_apply_coe", "MulChar.one_mul", "MulChar.orderOf_pos", "MulChar.pow_apply'", "MulChar.pow_apply_coe", "MulChar.pow_card_eq_one", "MulChar.ringHomComp_eq_one_iff", "MulChar.ringHomComp_ne_one_iff", "MulChar.sum_eq_zero_of_ne_one", "MulChar.sum_one_eq_card_units", "MulChar.val_neg_one_eq_one_of_odd_order", "MulDissociated.subset", "MulDistribMulAction.toMonoidHom_apply", "MulEquiv.apply_eq_iff_eq", "MulEquiv.apply_symm_apply", "MulEquiv.bijective", "MulEquiv.coe_mk", "MulEquiv.coe_monoidHom_comp_coe_monoidHom_symm", "MulEquiv.coe_monoidHom_refl", "MulEquiv.coe_monoidHom_symm_comp_coe_monoidHom", "MulEquiv.coe_prodComm_symm", "MulEquiv.coe_refl", "MulEquiv.coe_subgroupMap_apply", "MulEquiv.coe_toMonoidHom", "MulEquiv.coe_toMulHom", "MulEquiv.coe_trans", "MulEquiv.comp_left_injective", "MulEquiv.comp_right_injective", "MulEquiv.congr_arg", "MulEquiv.congr_fun", "MulEquiv.decompositionMonoid", "MulEquiv.eq_iff_eq_on_generator", "MulEquiv.eq_symm_apply", "MulEquiv.eq_symm_comp", "MulEquiv.equivLike_inv_eq_symm", "MulEquiv.ext", "MulEquiv.ext_iff", "MulEquiv.injective", "MulEquiv.invFun_eq_symm", "MulEquiv.inv_symm", "MulEquiv.isDomain", "MulEquiv.isField", "MulEquiv.isGroupHom", "MulEquiv.isHaarMeasure_map", "MulEquiv.isMonoidHom", "MulEquiv.isMulHom", "MulEquiv.map_div", "MulEquiv.map_eq_one_iff", "MulEquiv.map_finprod", "MulEquiv.map_finprod_mem", "MulEquiv.map_isUnit_iff", "MulEquiv.map_ne_one_iff", "MulEquiv.map_one", "MulEquiv.mk_coe'", "MulEquiv.mulDissociated_preimage", "MulEquiv.orderOf_eq", "MulEquiv.piCongrRight_refl", "MulEquiv.piCongrRight_symm", "MulEquiv.piCongrRight_trans", "MulEquiv.prime_iff", "MulEquiv.prodProdProdComm_symm", "MulEquiv.restrictRootsOfUnity_symm", "MulEquiv.self_comp_symm", "MulEquiv.self_trans_symm", "MulEquiv.subgroupCongr_apply", "MulEquiv.subgroupCongr_symm_apply", "MulEquiv.subgroupMap_symm_apply", "MulEquiv.submonoidMap_symm_apply", "MulEquiv.symm_apply_apply", "MulEquiv.symm_apply_eq", "MulEquiv.symm_bijective", "MulEquiv.symm_symm", "MulEquiv.symm_trans_apply", "MulEquiv.symm_trans_self", "MulEquiv.toEquiv_eq_coe", "MulEquiv.toEquiv_symm", "MulEquiv.toMonoidHom_injective", "MulEquiv.trans_apply", "MulEquiv.twoUniqueProds_iff", "MulEquiv.uniqueFactorizationMonoid", "MulEquiv.uniqueFactorizationMonoid_iff", "MulEquiv.uniqueProds_iff", "MulEquiv.withOneCongr_refl", "MulEquiv.withOneCongr_trans", "MulEquivClass.isMulFreimanIso", "MulEquivClass.map_eq_one_iff", "MulEquivClass.map_ne_one_iff", "MulEquivClass.toMulEquiv_injective", "MulHom.cancel_left", "MulHom.cancel_right", "MulHom.coe_comp", "MulHom.coe_copy", "MulHom.coe_copy_eq", "MulHom.coe_ofDense", "MulHom.coe_prod", "MulHom.coe_prodMap", "MulHom.coe_srange", "MulHom.comp_assoc", "MulHom.comp_id", "MulHom.comp_mul", "MulHom.comp_noncommCoprod", "MulHom.coprod_apply", "MulHom.eqOn_closure", "MulHom.eq_of_eqOn_top", "MulHom.ext", "MulHom.fst_comp_prod", "MulHom.map_dvd", "MulHom.map_mclosure", "MulHom.map_mul", "MulHom.map_srange", "MulHom.mem_srange", "MulHom.mk_coe", "MulHom.mul_apply", "MulHom.prodMap_def", "MulHom.prod_apply", "MulHom.prod_comp_prodMap", "MulHom.prod_map_comap_prod'", "MulHom.prod_unique", "MulHom.restrict_apply", "MulHom.srange_eq_map", "MulHom.srange_top_iff_surjective", "MulHom.subsemigroupMap_surjective", "MulHom.toFun_eq_coe", "MulLECancellable.inj", "MulLECancellable.injective_left", "MulLECancellable.isLeftRegular", "MulLECancellable.le_mul_iff_one_le_left", "MulLECancellable.le_mul_iff_one_le_right", "MulLECancellable.mul_le_iff_le_one_left", "MulLECancellable.mul_le_iff_le_one_right", "MulMemClass.coe_mul", "MulMemClass.coe_subtype", "MulMemClass.mk_mul_mk", "MulMemClass.mul_def", "MulMemClass.mul_mem_add_closure", "MulMemClass.mul_right_mem_add_closure", "MulOneClass.ext", "MulOpposite.coe_opLinearEquiv", "MulOpposite.coe_opLinearEquiv_symm", "MulOpposite.coe_opLinearEquiv_symm_addEquiv", "MulOpposite.coe_opLinearEquiv_toLinearMap", "MulOpposite.comap_unop_nhds", "MulOpposite.commute_unop", "MulOpposite.continuous_unop", "MulOpposite.dist_op", "MulOpposite.edist_op", "MulOpposite.edist_unop", "MulOpposite.exponent", "MulOpposite.map_op_nhds", "MulOpposite.map_unop_nhds", "MulOpposite.nndist_op", "MulOpposite.nndist_unop", "MulOpposite.nnnorm_op", "MulOpposite.norm_op", "MulOpposite.opAddEquiv_toEquiv", "MulOpposite.opLinearEquiv_toAddEquiv", "MulOpposite.op_bijective", "MulOpposite.op_comp_unop", "MulOpposite.op_eq_one_iff", "MulOpposite.op_eq_zero_iff", "MulOpposite.op_inj", "MulOpposite.op_injective", "MulOpposite.op_intCast", "MulOpposite.op_inv", "MulOpposite.op_list_prod", "MulOpposite.op_mul", "MulOpposite.op_ne_zero_iff", "MulOpposite.op_ofNat", "MulOpposite.op_one", "MulOpposite.op_pow", "MulOpposite.op_smul", "MulOpposite.op_smul_eq_op_smul_op", "MulOpposite.op_sub", "MulOpposite.op_unop", "MulOpposite.op_zero", "MulOpposite.op_zpow", "MulOpposite.semiconjBy_op", "MulOpposite.smul_eq_mul_unop", "MulOpposite.uniformContinuous_op", "MulOpposite.uniformContinuous_unop", "MulOpposite.unop_add", "MulOpposite.unop_bijective", "MulOpposite.unop_comp_op", "MulOpposite.unop_eq_one_iff", "MulOpposite.unop_eq_zero_iff", "MulOpposite.unop_injective", "MulOpposite.unop_intCast", "MulOpposite.unop_inv", "MulOpposite.unop_list_prod", "MulOpposite.unop_mul", "MulOpposite.unop_neg", "MulOpposite.unop_nnratCast", "MulOpposite.unop_one", "MulOpposite.unop_op", "MulOpposite.unop_pow", "MulOpposite.unop_ratCast", "MulOpposite.unop_smul_eq_unop_smul_unop", "MulOpposite.unop_sub", "MulOpposite.unop_surjective", "MulOpposite.unop_zero", "MulOpposite.unop_zpow", "MulPosMono.toMulPosReflectLT", "MulPosMono.toMulPosStrictMono", "MulPosReflectLE.toMulPosStrictMono", "MulRingNorm.apply_natAbs_eq", "MulRingNorm.apply_one", "MulRingNorm.equiv_refl", "MulRingNorm.equiv_symm", "MulRingNorm.equiv_trans", "MulRingNorm.toFun_eq_coe", "MulRingNorm_nat_le_nat", "MulRingSeminorm.ext", "MulRingSeminorm.toFun_eq_coe", "MulSemiringAction.toAlgEquiv_injective", "MulSemiringAction.toAlgHom_injective", "MulSemiringActionHom.coe_fn_coe", "MulSemiringActionHom.coe_fn_coe'", "MulSemiringActionHom.coe_polynomial", "MulSemiringActionHom.comp_apply", "MulSemiringActionHom.comp_id", "MulSemiringActionHom.map_add", "MulSemiringActionHom.map_mul", "MulSemiringActionHom.map_smul\u209b\u2097", "MulSemiringActionHom.map_zero", "MultilinearMap.add_apply", "MultilinearMap.alternatization_apply", "MultilinearMap.alternatization_coe", "MultilinearMap.alternatization_def", "MultilinearMap.alternization_map_eq_zero_of_eq_aux", "MultilinearMap.bound_of_shell", "MultilinearMap.bound_of_shell_of_continuous", "MultilinearMap.bound_of_shell_of_norm_map_coord_zero", "MultilinearMap.coe_currySumEquiv", "MultilinearMap.coe_currySumEquiv_symm", "MultilinearMap.coe_injective", "MultilinearMap.coe_mk", "MultilinearMap.coe_mkContinuous", "MultilinearMap.coe_restrictScalars", "MultilinearMap.coe_smul", "MultilinearMap.coe_sum", "MultilinearMap.compLinearMap_apply", "MultilinearMap.compLinearMap_id", "MultilinearMap.compLinearMap_inj", "MultilinearMap.compLinearMap_injective", "MultilinearMap.comp_linearEquiv_eq_zero_iff", "MultilinearMap.congr_arg", "MultilinearMap.congr_fun", "MultilinearMap.cons_add", "MultilinearMap.continuous_of_bound", "MultilinearMap.curryFinFinset_apply_const", "MultilinearMap.curryFinFinset_apply_const_aux", "MultilinearMap.curryFinFinset_symm_apply", "MultilinearMap.curryFinFinset_symm_apply_piecewise_const", "MultilinearMap.curryFinFinset_symm_apply_piecewise_const_aux", "MultilinearMap.curryLeft_apply", "MultilinearMap.curryRight_apply", "MultilinearMap.curry_uncurryRight", "MultilinearMap.domCoprod_alternization", "MultilinearMap.domCoprod_alternization_coe", "MultilinearMap.domCoprod_alternization_eq", "MultilinearMap.domDomCongr_eq_iff", "MultilinearMap.domDomRestrict_apply", "MultilinearMap.domDomRestrict_aux", "MultilinearMap.exists_bound_of_continuous", "MultilinearMap.ext_iff", "MultilinearMap.free_and_finite", "MultilinearMap.free_and_finite_fin", "MultilinearMap.iteratedFDeriv_aux", "MultilinearMap.linearDeriv_apply", "MultilinearMap.map_add", "MultilinearMap.map_add_eq_map_add_linearDeriv_add", "MultilinearMap.map_add_sub_map_add_sub_linearDeriv", "MultilinearMap.map_add_univ", "MultilinearMap.map_coord_zero", "MultilinearMap.map_neg", "MultilinearMap.map_piecewise_add", "MultilinearMap.map_piecewise_smul", "MultilinearMap.map_piecewise_sub_map_piecewise", "MultilinearMap.map_smul", "MultilinearMap.map_smul_univ", "MultilinearMap.map_sub", "MultilinearMap.map_sub_map_piecewise", "MultilinearMap.map_sum", "MultilinearMap.map_sum_finset_aux", "MultilinearMap.map_update", "MultilinearMap.map_update_smul", "MultilinearMap.map_update_sum", "MultilinearMap.map_update_zero", "MultilinearMap.map_zero", "MultilinearMap.mkContinuousLinear_norm_le", "MultilinearMap.mkContinuousLinear_norm_le'", "MultilinearMap.mkContinuousMultilinear_apply", "MultilinearMap.mkContinuousMultilinear_norm_le", "MultilinearMap.mkContinuousMultilinear_norm_le'", "MultilinearMap.mkContinuous_norm_le'", "MultilinearMap.mkPiAlgebra_apply", "MultilinearMap.mkPiRing_apply_one_eq_self", "MultilinearMap.mkPiRing_eq_iff", "MultilinearMap.mkPiRing_zero", "MultilinearMap.norm_image_sub_le_of_bound", "MultilinearMap.norm_image_sub_le_of_bound'", "MultilinearMap.norm_map_coord_zero", "MultilinearMap.restr_norm_le", "MultilinearMap.smulRight_apply", "MultilinearMap.smul_apply", "MultilinearMap.snoc_add", "MultilinearMap.snoc_smul", "MultilinearMap.sub_apply", "MultilinearMap.sum_apply", "MultilinearMap.toFun_eq_coe", "MultilinearMap.uncurryRight_apply", "MultilinearMap.uncurrySum_aux_apply", "MultilinearMap.uncurry_curryLeft", "MultilinearMap.zero_apply", "MultilinearMap.zero_compLinearMap", "Multipliable.comp_injective", "Multipliable.comp_nat_add", "Multipliable.compl_add", "Multipliable.congr", "Multipliable.countable_mulSupport", "Multipliable.div", "Multipliable.even_mul_odd", "Multipliable.hasProd", "Multipliable.hasProd_iff", "Multipliable.hasProd_iff_tendsto_nat", "Multipliable.map_iff_of_equiv", "Multipliable.map_iff_of_leftInverse", "Multipliable.map_tprod", "Multipliable.mul", "Multipliable.mulIndicator", "Multipliable.mul_compl", "Multipliable.multipliable_of_eq_one_or_self", "Multipliable.nat_mul_neg", "Multipliable.nat_tprod_vanishing", "Multipliable.of_add_one_of_neg_add_one", "Multipliable.of_inv", "Multipliable.of_nat_of_neg", "Multipliable.prod_factor", "Multipliable.sigma", "Multipliable.sigma_factor", "Multipliable.tendsto_atTop_one", "Multipliable.tendsto_cofinite_one", "Multipliable.tprod_vanishing", "Multipliable.trans_div", "Multipliable.update", "Multipliable.vanishing", "Multiplicative.forall", "Multiplicative.isMonoidHom", "Multiplicative.isNormalSubgroup", "Multiplicative.isNormalSubgroup_iff", "Multiplicative.isSubgroup_iff", "Multiplicative.isSubmonoid", "Multiplicative.ofAdd_symm_eq", "Multiplicative.toAdd_le", "Multiplicative.toAdd_lt", "Multiset.Disjoint.symm", "Multiset.Icc_eq_zero_iff", "Multiset.Icc_self", "Multiset.Ico_add_Ico_eq_Ico", "Multiset.Ico_cons_right", "Multiset.Ico_disjoint_Ico", "Multiset.Ico_eq_zero_iff", "Multiset.Ico_eq_zero_of_le", "Multiset.Ico_filter_le", "Multiset.Ico_filter_le_left", "Multiset.Ico_filter_le_of_le_left", "Multiset.Ico_filter_le_of_left_le", "Multiset.Ico_filter_le_of_right_le", "Multiset.Ico_filter_lt", "Multiset.Ico_filter_lt_of_le_left", "Multiset.Ico_filter_lt_of_le_right", "Multiset.Ico_filter_lt_of_right_le", "Multiset.Ico_inter_Ico", "Multiset.Ico_self", "Multiset.Ico_sub_Ico_left", "Multiset.Ico_sub_Ico_right", "Multiset.Ico_subset_Ico_iff", "Multiset.Ioc_eq_zero_iff", "Multiset.Ioc_eq_zero_of_le", "Multiset.Ioc_self", "Multiset.Ioo_cons_left", "Multiset.Ioo_eq_zero", "Multiset.Ioo_eq_zero_iff", "Multiset.Ioo_eq_zero_of_le", "Multiset.Ioo_self", "Multiset.Nat.antidiagonalTuple_one", "Multiset.Nat.antidiagonalTuple_zero_zero", "Multiset.Nat.antidiagonal_succ", "Multiset.Nat.antidiagonal_succ'", "Multiset.Nat.antidiagonal_succ_succ'", "Multiset.Nat.antidiagonal_zero", "Multiset.Nat.card_antidiagonal", "Multiset.Nat.map_swap_antidiagonal", "Multiset.Nat.mem_antidiagonal", "Multiset.Nat.mem_antidiagonalTuple", "Multiset.Nodup.cons", "Multiset.Nodup.disjSum", "Multiset.Nodup.erase", "Multiset.Nodup.erase_eq_filter", "Multiset.Nodup.ext", "Multiset.Nodup.filter", "Multiset.Nodup.filterMap", "Multiset.Nodup.inter_right", "Multiset.Nodup.le_nsmul_iff_le", "Multiset.Nodup.map", "Multiset.Nodup.map_on", "Multiset.Nodup.mem_erase_iff", "Multiset.Nodup.ndinsert", "Multiset.Nodup.ndinter", "Multiset.Nodup.ndunion", "Multiset.Nodup.not_mem", "Multiset.Nodup.of_cons", "Multiset.Nodup.of_map", "Multiset.Nodup.pi", "Multiset.Nodup.powersetCard", "Multiset.Nodup.product", "Multiset.Nodup.sigma", "Multiset.Nodup.sym2", "Multiset.Nodup.toFinset_inj", "Multiset.Pi.cons_injective", "Multiset.Pi.cons_same", "Multiset.Pi.cons_swap", "Multiset.Rel.add", "Multiset.Rel.countP_eq", "Multiset.Rel.mono", "Multiset.Rel.trans", "Multiset.Subset.trans", "Multiset.abs_sum_le_sum_abs", "Multiset.addHom_ext", "Multiset.add_bind", "Multiset.add_cons", "Multiset.add_eq_union_iff_disjoint", "Multiset.add_eq_union_left_of_le", "Multiset.add_eq_union_right_of_le", "Multiset.add_inter_distrib", "Multiset.add_le_add_iff_left'", "Multiset.add_product", "Multiset.add_sigma", "Multiset.add_singleton_eq_iff", "Multiset.add_union_distrib", "Multiset.aemeasurable_prod", "Multiset.aemeasurable_prod'", "Multiset.aestronglyMeasurable_prod", "Multiset.all_one_of_le_one_le_of_prod_eq_one", "Multiset.antidiagonal_coe", "Multiset.antidiagonal_coe'", "Multiset.antidiagonal_cons", "Multiset.antidiagonal_eq_map_powerset", "Multiset.antidiagonal_map_fst", "Multiset.antidiagonal_zero", "Multiset.attach_bind_coe", "Multiset.attach_cons", "Multiset.attach_map_val", "Multiset.attach_map_val'", "Multiset.attach_ndinsert", "Multiset.attach_zero", "Multiset.bijective_iff_map_univ_eq_univ", "Multiset.bind_add", "Multiset.bind_assoc", "Multiset.bind_bind", "Multiset.bind_congr", "Multiset.bind_cons", "Multiset.bind_def", "Multiset.bind_hcongr", "Multiset.bind_map", "Multiset.bind_map_comm", "Multiset.bind_powerset_len", "Multiset.bind_singleton", "Multiset.bind_zero", "Multiset.bot_eq_zero", "Multiset.card_Icc", "Multiset.card_Ico", "Multiset.card_Ico_eq_card_Icc_sub_one", "Multiset.card_Iic", "Multiset.card_Ioc", "Multiset.card_Ioc_eq_card_Icc_sub_one", "Multiset.card_Ioo_eq_card_Icc_sub_two", "Multiset.card_add", "Multiset.card_antidiagonal", "Multiset.card_attach", "Multiset.card_bind", "Multiset.card_coe", "Multiset.card_cons", "Multiset.card_disjSum", "Multiset.card_eq_countP_add_countP", "Multiset.card_eq_one", "Multiset.card_eq_three", "Multiset.card_eq_zero", "Multiset.card_erase_add_one", "Multiset.card_erase_eq_ite", "Multiset.card_erase_lt_of_mem", "Multiset.card_filter_le_iff", "Multiset.card_le_card", "Multiset.card_map", "Multiset.card_pair", "Multiset.card_pi", "Multiset.card_pmap", "Multiset.card_pos", "Multiset.card_pos_iff_exists_mem", "Multiset.card_powerset", "Multiset.card_powersetCard", "Multiset.card_product", "Multiset.card_range", "Multiset.card_replicate", "Multiset.card_sections", "Multiset.card_singleton", "Multiset.card_strictMono", "Multiset.card_sym2", "Multiset.card_toEnumFinset", "Multiset.card_toFinset", "Multiset.card_uIcc", "Multiset.card_zero", "Multiset.choose_mem", "Multiset.choose_spec", "Multiset.coe_add", "Multiset.coe_attach", "Multiset.coe_bind", "Multiset.coe_card", "Multiset.coe_count", "Multiset.coe_countPAddMonoidHom", "Multiset.coe_dedup", "Multiset.coe_disjoint", "Multiset.coe_eq_coe", "Multiset.coe_eq_singleton", "Multiset.coe_eq_zero", "Multiset.coe_eq_zero_iff_isEmpty", "Multiset.coe_erase", "Multiset.coe_fold_l", "Multiset.coe_fold_r", "Multiset.coe_foldr", "Multiset.coe_foldr_swap", "Multiset.coe_inter", "Multiset.coe_join", "Multiset.coe_keys", "Multiset.coe_mapAddMonoidHom", "Multiset.coe_mem", "Multiset.coe_mk", "Multiset.coe_ndinsert", "Multiset.coe_ndinter", "Multiset.coe_ndunion", "Multiset.coe_nodup", "Multiset.coe_nodupKeys", "Multiset.coe_pmap", "Multiset.coe_product", "Multiset.coe_range", "Multiset.coe_replicate", "Multiset.coe_sections", "Multiset.coe_sigma", "Multiset.coe_singleton", "Multiset.coe_sort", "Multiset.coe_sub", "Multiset.coe_subset", "Multiset.coe_subsingletonEquiv", "Multiset.coe_sumAddMonoidHom", "Multiset.coe_toList", "Multiset.comp_traverse", "Multiset.cons_add", "Multiset.cons_bind", "Multiset.cons_coe", "Multiset.cons_eq_cons", "Multiset.cons_erase", "Multiset.cons_inj_left", "Multiset.cons_inj_right", "Multiset.cons_inter_distrib", "Multiset.cons_inter_of_neg", "Multiset.cons_inter_of_pos", "Multiset.cons_le_cons", "Multiset.cons_le_cons_iff", "Multiset.cons_lt_cons", "Multiset.cons_lt_cons_iff", "Multiset.cons_ndinter_of_mem", "Multiset.cons_ndunion", "Multiset.cons_product", "Multiset.cons_sigma", "Multiset.cons_sub_of_le", "Multiset.cons_subset", "Multiset.cons_subset_cons", "Multiset.cons_swap", "Multiset.cons_zero", "Multiset.countP_False", "Multiset.countP_True", "Multiset.countP_add", "Multiset.countP_attach", "Multiset.countP_congr", "Multiset.countP_cons", "Multiset.countP_eq_card", "Multiset.countP_eq_card_filter", "Multiset.countP_eq_countP_filter_add", "Multiset.countP_eq_zero", "Multiset.countP_filter", "Multiset.countP_le_of_le", "Multiset.countP_map", "Multiset.countP_nsmul", "Multiset.countP_pos", "Multiset.countP_sub", "Multiset.countP_zero", "Multiset.count_add", "Multiset.count_attach", "Multiset.count_bind", "Multiset.count_cons", "Multiset.count_cons_self", "Multiset.count_dedup", "Multiset.count_eq_card", "Multiset.count_eq_card_filter_eq", "Multiset.count_eq_of_nodup", "Multiset.count_eq_one_of_mem", "Multiset.count_eq_zero", "Multiset.count_eq_zero_of_not_mem", "Multiset.count_erase_of_ne", "Multiset.count_erase_self", "Multiset.count_filter", "Multiset.count_filter_of_neg", "Multiset.count_filter_of_pos", "Multiset.count_finset_sup", "Multiset.count_inter", "Multiset.count_le_card", "Multiset.count_le_count_cons", "Multiset.count_le_of_le", "Multiset.count_map", "Multiset.count_map_eq_count", "Multiset.count_map_eq_count'", "Multiset.count_nsmul", "Multiset.count_pos", "Multiset.count_replicate", "Multiset.count_replicate_self", "Multiset.count_singleton", "Multiset.count_singleton_self", "Multiset.count_sub", "Multiset.count_sum", "Multiset.count_sum'", "Multiset.count_union", "Multiset.count_univ", "Multiset.count_zero", "Multiset.covBy_cons", "Multiset.covBy_iff", "Multiset.dedup_add", "Multiset.dedup_bind_dedup", "Multiset.dedup_cons", "Multiset.dedup_cons_of_mem", "Multiset.dedup_cons_of_not_mem", "Multiset.dedup_eq_self", "Multiset.dedup_eq_zero", "Multiset.dedup_ext", "Multiset.dedup_idem", "Multiset.dedup_le", "Multiset.dedup_map_dedup_eq", "Multiset.dedup_nsmul", "Multiset.dedup_singleton", "Multiset.dedup_subset", "Multiset.disjSum_lt_disjSum_of_le_of_lt", "Multiset.disjSum_mono", "Multiset.disjSum_mono_left", "Multiset.disjSum_mono_right", "Multiset.disjSum_strictMono_left", "Multiset.disjSum_zero", "Multiset.disjoint_add_left", "Multiset.disjoint_add_right", "Multiset.disjoint_cons_right", "Multiset.disjoint_finset_sum_left", "Multiset.disjoint_finset_sum_right", "Multiset.disjoint_iff_ne", "Multiset.disjoint_list_sum_left", "Multiset.disjoint_list_sum_right", "Multiset.disjoint_map_map", "Multiset.disjoint_ndinsert_left", "Multiset.disjoint_ndinsert_right", "Multiset.disjoint_of_le_left", "Multiset.disjoint_of_subset_left", "Multiset.disjoint_of_subset_right", "Multiset.disjoint_singleton", "Multiset.disjoint_sum_left", "Multiset.disjoint_sum_right", "Multiset.disjoint_toFinset", "Multiset.disjoint_union_left", "Multiset.disjoint_union_right", "Multiset.dvd_gcd", "Multiset.dvd_lcm", "Multiset.dvd_prod", "Multiset.dvd_sum", "Multiset.empty_eq_zero", "Multiset.empty_or_exists_mem", "Multiset.empty_toList", "Multiset.eq_of_le_of_card_le", "Multiset.eq_of_mem_map_const", "Multiset.eq_of_mem_replicate", "Multiset.eq_replicate_card", "Multiset.eq_union_left", "Multiset.eq_union_right", "Multiset.eq_zero_iff_forall_not_mem", "Multiset.eq_zero_of_forall_not_mem", "Multiset.eq_zero_of_subset_zero", "Multiset.erase_add_left_neg", "Multiset.erase_add_left_pos", "Multiset.erase_add_right_pos", "Multiset.erase_attach_map", "Multiset.erase_attach_map_val", "Multiset.erase_cons_head", "Multiset.erase_cons_tail", "Multiset.erase_cons_tail_of_mem", "Multiset.erase_le", "Multiset.erase_le_erase", "Multiset.erase_le_iff_le_cons", "Multiset.erase_lt", "Multiset.erase_of_not_mem", "Multiset.erase_subset", "Multiset.erase_zero", "Multiset.esymm_neg", "Multiset.exists_coe", "Multiset.exists_cons_of_mem", "Multiset.exists_mem_of_ne_zero", "Multiset.exists_mem_of_rel_of_mem", "Multiset.exists_smul_of_dvd_count", "Multiset.ext", "Multiset.ext'", "Multiset.extract_gcd", "Multiset.extract_gcd'", "Multiset.filterMap_coe", "Multiset.filterMap_cons_none", "Multiset.filterMap_cons_some", "Multiset.filterMap_eq_map", "Multiset.filterMap_filter", "Multiset.filterMap_filterMap", "Multiset.filterMap_zero", "Multiset.filter_add", "Multiset.filter_add_filter", "Multiset.filter_add_not", "Multiset.filter_attach", "Multiset.filter_attach'", "Multiset.filter_coe", "Multiset.filter_comm", "Multiset.filter_congr", "Multiset.filter_cons", "Multiset.filter_cons_of_neg", "Multiset.filter_cons_of_pos", "Multiset.filter_eq", "Multiset.filter_eq'", "Multiset.filter_eq_nil", "Multiset.filter_filter", "Multiset.filter_filterMap", "Multiset.filter_inter", "Multiset.filter_le", "Multiset.filter_le_filter", "Multiset.filter_map", "Multiset.filter_nsmul", "Multiset.filter_singleton", "Multiset.filter_sub", "Multiset.filter_zero", "Multiset.finite_toSet", "Multiset.finite_toSet_toFinset", "Multiset.finset_sum_eq_sup_iff_disjoint", "Multiset.fmap_def", "Multiset.fold_add", "Multiset.fold_bind", "Multiset.fold_cons'_left", "Multiset.fold_cons'_right", "Multiset.fold_cons_left", "Multiset.fold_cons_right", "Multiset.fold_dedup_idem", "Multiset.fold_distrib", "Multiset.fold_eq_foldl", "Multiset.fold_hom", "Multiset.fold_singleton", "Multiset.fold_zero", "Multiset.foldl_cons", "Multiset.foldl_induction'", "Multiset.foldl_swap", "Multiset.foldr_add", "Multiset.foldr_induction", "Multiset.foldr_induction'", "Multiset.foldr_swap", "Multiset.forall_coe", "Multiset.forall_mem_cons", "Multiset.fst_prod", "Multiset.gcd_add", "Multiset.gcd_cons", "Multiset.gcd_dedup", "Multiset.gcd_dvd", "Multiset.gcd_eq_zero_iff", "Multiset.gcd_map_mul", "Multiset.gcd_ndinsert", "Multiset.gcd_ndunion", "Multiset.gcd_union", "Multiset.gcd_zero", "Multiset.grade_eq", "Multiset.id_traverse", "Multiset.image_toEnumFinset_fst", "Multiset.induction", "Multiset.induction_on", "Multiset.induction_on'", "Multiset.induction_on_multiset_quot", "Multiset.inf_add", "Multiset.inf_coe", "Multiset.inf_cons", "Multiset.inf_dedup", "Multiset.inf_le", "Multiset.inf_ndinsert", "Multiset.inf_ndunion", "Multiset.inf_singleton", "Multiset.inf_union", "Multiset.inf_zero", "Multiset.inj_on_of_nodup_map", "Multiset.inl_mem_disjSum", "Multiset.inr_mem_disjSum", "Multiset.insert_eq_cons", "Multiset.inter_add_distrib", "Multiset.inter_comm", "Multiset.inter_eq_zero_iff_disjoint", "Multiset.inter_le_left", "Multiset.inter_le_ndinter", "Multiset.inter_le_right", "Multiset.inter_replicate", "Multiset.inter_zero", "Multiset.isAtom_iff", "Multiset.isAtom_singleton", "Multiset.join_add", "Multiset.join_zero", "Multiset.lcm_add", "Multiset.lcm_cons", "Multiset.lcm_dedup", "Multiset.lcm_dvd", "Multiset.lcm_eq_zero_iff", "Multiset.lcm_mono", "Multiset.lcm_ndinsert", "Multiset.lcm_ndunion", "Multiset.lcm_singleton", "Multiset.lcm_union", "Multiset.lcm_zero", "Multiset.leInductionOn", "Multiset.le_add_left", "Multiset.le_add_right", "Multiset.le_bind", "Multiset.le_cons_erase", "Multiset.le_cons_of_not_mem", "Multiset.le_cons_self", "Multiset.le_count_iff_replicate_le", "Multiset.le_dedup_self", "Multiset.le_filter", "Multiset.le_iff_count", "Multiset.le_iff_exists_add", "Multiset.le_inf", "Multiset.le_inter", "Multiset.le_inter_iff", "Multiset.le_ndinter", "Multiset.le_ndunion_left", "Multiset.le_prod_nonempty_of_submultiplicative_on_pred", "Multiset.le_prod_of_mem", "Multiset.le_prod_of_submultiplicative", "Multiset.le_prod_of_submultiplicative_on_pred", "Multiset.le_replicate_iff", "Multiset.le_singleton", "Multiset.le_smul_dedup", "Multiset.le_sup", "Multiset.le_union_right", "Multiset.le_zero", "Multiset.left_mem_Icc", "Multiset.left_not_mem_Ioc", "Multiset.left_not_mem_Ioo", "Multiset.length_ndinsert_of_mem", "Multiset.length_ndinsert_of_not_mem", "Multiset.length_sort", "Multiset.length_toList", "Multiset.lists_coe", "Multiset.lt_cons_self", "Multiset.lt_iff_cons_le", "Multiset.lt_replicate_succ", "Multiset.lt_singleton", "Multiset.map_add", "Multiset.map_add_left_Icc", "Multiset.map_add_left_Ico", "Multiset.map_add_left_Ioc", "Multiset.map_add_left_Ioo", "Multiset.map_add_right_Ico", "Multiset.map_add_right_Ioc", "Multiset.map_add_right_Ioo", "Multiset.map_bind", "Multiset.map_coe", "Multiset.map_comp_coe", "Multiset.map_comp_cons", "Multiset.map_congr", "Multiset.map_cons", "Multiset.map_const", "Multiset.map_const'", "Multiset.map_count_True_eq_filter_card", "Multiset.map_eq_cons", "Multiset.map_eq_map", "Multiset.map_eq_map_of_bij_of_nodup", "Multiset.map_eq_singleton", "Multiset.map_eq_zero", "Multiset.map_erase", "Multiset.map_erase_of_mem", "Multiset.map_filter'", "Multiset.map_filterMap", "Multiset.map_finset_sup", "Multiset.map_hcongr", "Multiset.map_id", "Multiset.map_id'", "Multiset.map_injective", "Multiset.map_join", "Multiset.map_lt_map", "Multiset.map_map", "Multiset.map_mk_eq_map_mk_of_rel", "Multiset.map_pmap", "Multiset.map_replicate", "Multiset.map_set_pairwise", "Multiset.map_single_le_powerset", "Multiset.map_singleton", "Multiset.map_strictMono", "Multiset.map_surjective_of_surjective", "Multiset.map_toEnumFinset_fst", "Multiset.map_traverse", "Multiset.map_union", "Multiset.map_univ", "Multiset.map_univ_coe", "Multiset.map_univ_coeEmbedding", "Multiset.map_univ_val_equiv", "Multiset.map_zero", "Multiset.max_le_of_forall_le", "Multiset.measurable_prod", "Multiset.measurable_prod'", "Multiset.mem_Icc", "Multiset.mem_Ici", "Multiset.mem_Ico", "Multiset.mem_Iic", "Multiset.mem_Iio", "Multiset.mem_Ioc", "Multiset.mem_Ioi", "Multiset.mem_Ioo", "Multiset.mem_add", "Multiset.mem_antidiagonal", "Multiset.mem_bind", "Multiset.mem_coe", "Multiset.mem_cons", "Multiset.mem_cons_of_mem", "Multiset.mem_cons_self", "Multiset.mem_dedup", "Multiset.mem_disjSum", "Multiset.mem_erase_of_ne", "Multiset.mem_filter", "Multiset.mem_filterMap", "Multiset.mem_filter_of_mem", "Multiset.mem_inter", "Multiset.mem_join", "Multiset.mem_lists_iff", "Multiset.mem_map", "Multiset.mem_map_of_mem", "Multiset.mem_ndinsert_of_mem", "Multiset.mem_ndinsert_self", "Multiset.mem_ndinter", "Multiset.mem_ndunion", "Multiset.mem_nsmul", "Multiset.mem_of_mem_erase", "Multiset.mem_of_mem_filter", "Multiset.mem_of_mem_nsmul", "Multiset.mem_of_mem_toEnumFinset", "Multiset.mem_of_subset", "Multiset.mem_pi", "Multiset.mem_pmap", "Multiset.mem_powerset", "Multiset.mem_powersetAux", "Multiset.mem_powersetCardAux", "Multiset.mem_product", "Multiset.mem_replicate", "Multiset.mem_sections", "Multiset.mem_sigma", "Multiset.mem_singleton", "Multiset.mem_singleton_self", "Multiset.mem_sort", "Multiset.mem_sub_of_nodup", "Multiset.mem_sup", "Multiset.mem_sup_map_support_iff", "Multiset.mem_sym2_iff", "Multiset.mem_toEnumFinset", "Multiset.mem_toFinset", "Multiset.mem_toList", "Multiset.mem_union", "Multiset.mk_mem_sym2_iff", "Multiset.monotone_filter_right", "Multiset.monotone_sym2", "Multiset.mul_noncommProd_erase", "Multiset.multinomial_filter_ne", "Multiset.nat_divisors_prod", "Multiset.naturality", "Multiset.ndinsert_le", "Multiset.ndinsert_of_not_mem", "Multiset.ndinsert_zero", "Multiset.ndinter_cons_of_not_mem", "Multiset.ndinter_eq_inter", "Multiset.ndinter_eq_zero_iff_disjoint", "Multiset.ndinter_le_left", "Multiset.ndunion_le", "Multiset.ndunion_le_add", "Multiset.ndunion_le_union", "Multiset.nodup_Ico", "Multiset.nodup_Ioo", "Multiset.nodup_attach", "Multiset.nodup_bind", "Multiset.nodup_cons", "Multiset.nodup_dedup", "Multiset.nodup_iff_count_eq_one", "Multiset.nodup_iff_count_le_one", "Multiset.nodup_iff_le", "Multiset.nodup_iff_ne_cons_cons", "Multiset.nodup_iff_pairwise", "Multiset.nodup_keys", "Multiset.nodup_map_iff_inj_on", "Multiset.nodup_of_le", "Multiset.nodup_powerset", "Multiset.nodup_singleton", "Multiset.nodup_sup_iff", "Multiset.nodup_union", "Multiset.nodup_zero", "Multiset.noncommFold_cons", "Multiset.noncommFold_empty", "Multiset.noncommFold_eq_fold", "Multiset.noncommFoldr_coe", "Multiset.noncommFoldr_cons", "Multiset.noncommFoldr_eq_foldr", "Multiset.noncommProd_add", "Multiset.noncommProd_coe", "Multiset.noncommProd_commute", "Multiset.noncommProd_cons", "Multiset.noncommProd_cons'", "Multiset.noncommProd_empty", "Multiset.noncommProd_eq_pow_card", "Multiset.noncommProd_erase_mul", "Multiset.noncommProd_induction", "Multiset.noncommProd_map", "Multiset.noncommProd_map_aux", "Multiset.normalize_gcd", "Multiset.normalize_lcm", "Multiset.not_mem_mono", "Multiset.not_mem_range_self", "Multiset.not_mem_zero", "Multiset.not_nodup_pair", "Multiset.nsmul_cons", "Multiset.nsmul_replicate", "Multiset.nsmul_singleton", "Multiset.of_mem_filter", "Multiset.one_le_prod_of_one_le", "Multiset.pair_comm", "Multiset.pairwise_coe_iff", "Multiset.pairwise_coe_iff_pairwise", "Multiset.pairwise_disjoint_powersetCard", "Multiset.pairwise_zero", "Multiset.periodic_prod", "Multiset.pi.cons_eta", "Multiset.pi_cons", "Multiset.pi_zero", "Multiset.pmap_congr", "Multiset.pmap_cons", "Multiset.pmap_eq_map", "Multiset.pmap_eq_map_attach", "Multiset.pmap_zero", "Multiset.pow_card_le_prod", "Multiset.powersetAux'_cons", "Multiset.powersetAux'_nil", "Multiset.powersetAux_perm_powersetAux'", "Multiset.powersetCardAux_cons", "Multiset.powersetCardAux_eq_map_coe", "Multiset.powersetCardAux_perm", "Multiset.powersetCardAux_zero", "Multiset.powersetCard_card_add", "Multiset.powersetCard_coe", "Multiset.powersetCard_coe'", "Multiset.powersetCard_le_powerset", "Multiset.powersetCard_map", "Multiset.powersetCard_mono", "Multiset.powersetCard_one", "Multiset.powersetCard_zero_left", "Multiset.powersetCard_zero_right", "Multiset.powerset_aux'_perm", "Multiset.powerset_coe'", "Multiset.powerset_cons", "Multiset.prod_X_add_C_coeff", "Multiset.prod_X_add_C_coeff'", "Multiset.prod_X_add_C_eq_sum_esymm", "Multiset.prod_X_sub_C_coeff", "Multiset.prod_X_sub_C_dvd_iff_le_roots", "Multiset.prod_X_sub_X_eq_sum_esymm", "Multiset.prod_add", "Multiset.prod_bind", "Multiset.prod_coe", "Multiset.prod_cons", "Multiset.prod_dvd_prod_of_dvd", "Multiset.prod_dvd_prod_of_le", "Multiset.prod_eq_foldl", "Multiset.prod_eq_foldr", "Multiset.prod_eq_one", "Multiset.prod_eq_one_iff", "Multiset.prod_eq_pow_single", "Multiset.prod_eq_prod_coe", "Multiset.prod_eq_zero", "Multiset.prod_eq_zero_iff", "Multiset.prod_erase", "Multiset.prod_filter_mul_prod_filter_not", "Multiset.prod_hom", "Multiset.prod_hom'", "Multiset.prod_hom_rel", "Multiset.prod_hom\u2082", "Multiset.prod_induction", "Multiset.prod_induction_nonempty", "Multiset.prod_int_mod", "Multiset.prod_join", "Multiset.prod_le_pow_card", "Multiset.prod_le_prod_map", "Multiset.prod_le_prod_of_rel_le", "Multiset.prod_lt_prod'", "Multiset.prod_lt_prod_of_nonempty'", "Multiset.prod_map_add", "Multiset.prod_map_div", "Multiset.prod_map_eq_pow_single", "Multiset.prod_map_erase", "Multiset.prod_map_inv", "Multiset.prod_map_le_prod", "Multiset.prod_map_le_prod_map", "Multiset.prod_map_one", "Multiset.prod_map_pow", "Multiset.prod_map_sum", "Multiset.prod_map_zpow", "Multiset.prod_nat_mod", "Multiset.prod_ne_zero", "Multiset.prod_nonneg", "Multiset.prod_nsmul", "Multiset.prod_pair", "Multiset.prod_primes_dvd", "Multiset.prod_replicate", "Multiset.prod_singleton", "Multiset.prod_sum", "Multiset.prod_toEnumFinset", "Multiset.prod_toList", "Multiset.prod_zero", "Multiset.product_add", "Multiset.product_cons", "Multiset.product_singleton", "Multiset.product_zero", "Multiset.quot_mk_to_coe", "Multiset.quot_mk_to_coe'", "Multiset.quot_mk_to_coe''", "Multiset.range_add", "Multiset.range_add_eq_union", "Multiset.range_disjoint_map_add", "Multiset.range_le", "Multiset.range_subset", "Multiset.range_succ", "Multiset.range_zero", "Multiset.recOn_0", "Multiset.rel_add_left", "Multiset.rel_add_right", "Multiset.rel_bind", "Multiset.rel_cons_left", "Multiset.rel_cons_right", "Multiset.rel_eq", "Multiset.rel_eq_refl", "Multiset.rel_flip", "Multiset.rel_flip_eq", "Multiset.rel_join", "Multiset.rel_map", "Multiset.rel_map_left", "Multiset.rel_map_right", "Multiset.rel_of_forall", "Multiset.rel_refl_of_refl_on", "Multiset.rel_replicate_left", "Multiset.rel_replicate_right", "Multiset.rel_zero_left", "Multiset.rel_zero_right", "Multiset.replicate_add", "Multiset.replicate_inter", "Multiset.replicate_le_replicate", "Multiset.replicate_one", "Multiset.replicate_right_inj", "Multiset.replicate_right_injective", "Multiset.replicate_subset_singleton", "Multiset.replicate_zero", "Multiset.revzip_powersetAux", "Multiset.revzip_powersetAux'", "Multiset.revzip_powersetAux_lemma", "Multiset.revzip_powersetAux_perm", "Multiset.revzip_powersetAux_perm_aux'", "Multiset.right_mem_Icc", "Multiset.right_not_mem_Ico", "Multiset.sections_add", "Multiset.sections_cons", "Multiset.sections_zero", "Multiset.self_mem_range_succ", "Multiset.sigma_add", "Multiset.single_le_prod", "Multiset.singleton_add", "Multiset.singleton_bind", "Multiset.singleton_disjoint", "Multiset.singleton_eq_cons_iff", "Multiset.singleton_inj", "Multiset.singleton_le", "Multiset.singleton_ne_zero", "Multiset.singleton_subset", "Multiset.smul_prod", "Multiset.smul_sum", "Multiset.sort_eq", "Multiset.ssubset_cons", "Multiset.ssubset_singleton_iff", "Multiset.strongDownwardInductionOn_eq", "Multiset.strongDownwardInduction_eq", "Multiset.stronglyMeasurable_prod", "Multiset.stronglyMeasurable_prod'", "Multiset.sub_add_inter", "Multiset.sub_cons", "Multiset.sub_eq_fold_erase", "Multiset.sub_inter", "Multiset.sub_le_iff_le_add", "Multiset.subset_iff", "Multiset.subset_ndunion_right", "Multiset.subset_zero", "Multiset.sum_count_eq", "Multiset.sum_int_mod", "Multiset.sum_map_mul_left", "Multiset.sum_map_mul_right", "Multiset.sum_nat_mod", "Multiset.sum_smul_sum", "Multiset.sup_add", "Multiset.sup_coe", "Multiset.sup_cons", "Multiset.sup_dedup", "Multiset.sup_le", "Multiset.sup_ndinsert", "Multiset.sup_ndunion", "Multiset.sup_powerset_len", "Multiset.sup_singleton", "Multiset.sup_union", "Multiset.sup_zero", "Multiset.support_sum_eq", "Multiset.support_sum_subset", "Multiset.sym2_coe", "Multiset.sym2_eq_zero_iff", "Multiset.sym2_mono", "Multiset.toDFinsupp_apply", "Multiset.toDFinsupp_inj", "Multiset.toDFinsupp_injective", "Multiset.toDFinsupp_inter", "Multiset.toDFinsupp_le_toDFinsupp", "Multiset.toDFinsupp_lt_toDFinsupp", "Multiset.toDFinsupp_replicate", "Multiset.toDFinsupp_singleton", "Multiset.toDFinsupp_support", "Multiset.toDFinsupp_toMultiset", "Multiset.toDFinsupp_union", "Multiset.toEmbedding_coeEquiv_trans", "Multiset.toEnumFinset_filter_eq", "Multiset.toEnumFinset_mono", "Multiset.toEnumFinset_subset_iff", "Multiset.toFinset_add", "Multiset.toFinset_card_eq_one_iff", "Multiset.toFinset_card_le", "Multiset.toFinset_card_of_nodup", "Multiset.toFinset_cons", "Multiset.toFinset_eq", "Multiset.toFinset_eq_singleton_iff", "Multiset.toFinset_filter", "Multiset.toFinset_inter", "Multiset.toFinset_nonempty", "Multiset.toFinset_nsmul", "Multiset.toFinset_prod_dvd_prod", "Multiset.toFinset_singleton", "Multiset.toFinset_ssubset", "Multiset.toFinset_subset", "Multiset.toFinset_sum_count_eq", "Multiset.toFinset_sum_count_nsmul_eq", "Multiset.toFinset_union", "Multiset.toFinset_val", "Multiset.toFinset_zero", "Multiset.toFinsupp_apply", "Multiset.toFinsupp_eq_iff", "Multiset.toFinsupp_inter", "Multiset.toFinsupp_singleton", "Multiset.toFinsupp_union", "Multiset.toFinsupp_zero", "Multiset.toList_eq_nil", "Multiset.toList_eq_singleton_iff", "Multiset.toList_singleton", "Multiset.traverse_map", "Multiset.trop_inf", "Multiset.trop_sum", "Multiset.union_add_distrib", "Multiset.union_add_inter", "Multiset.union_comm", "Multiset.union_le", "Multiset.union_le_add", "Multiset.union_le_iff", "Multiset.union_le_union_left", "Multiset.union_le_union_right", "Multiset.untrop_prod", "Multiset.untrop_sum", "Multiset.zero_bind", "Multiset.zero_inter", "Multiset.zero_le", "Multiset.zero_ndinter", "Multiset.zero_ndunion", "Multiset.zero_ne_cons", "Multiset.zero_sigma", "Multiset.zero_ssubset", "MvFunctor.LiftP_PredLast_iff", "MvFunctor.LiftP_def", "MvFunctor.LiftR_RelLast_iff", "MvFunctor.LiftR_def", "MvFunctor.exists_iff_exists_of_mono", "MvFunctor.id_map", "MvFunctor.map_map", "MvFunctor.of_mem_supp", "MvPFunctor.M.bisim", "MvPFunctor.M.bisim'", "MvPFunctor.M.bisim_lemma", "MvPFunctor.M.bisim\u2080", "MvPFunctor.M.dest_corec", "MvPFunctor.M.dest_eq_dest'", "MvPFunctor.M.dest_map", "MvPFunctor.M.map_dest", "MvPFunctor.comp.get_map", "MvPFunctor.comp.get_mk", "MvPFunctor.comp.mk_get", "MvPFunctor.comp_map", "MvPFunctor.comp_wPathCasesOn", "MvPFunctor.const.get_map", "MvPFunctor.const.mk_get", "MvPFunctor.liftP_iff", "MvPFunctor.liftP_iff'", "MvPFunctor.liftR_iff", "MvPFunctor.map_eq", "MvPFunctor.map_objAppend1", "MvPFunctor.supp_eq", "MvPFunctor.wDest'_wMk", "MvPFunctor.wDest'_wMk'", "MvPFunctor.wMk_eq", "MvPFunctor.wPathCasesOn_eta", "MvPFunctor.wPathDestLeft_wPathCasesOn", "MvPFunctor.wPathDestRight_wPathCasesOn", "MvPFunctor.wRec_eq", "MvPFunctor.w_cases", "MvPFunctor.w_ind", "MvPFunctor.w_map_wMk", "MvPFunctor.wpRec_eq", "MvPolynomial.C_0", "MvPolynomial.C_1", "MvPolynomial.C_add", "MvPolynomial.C_apply", "MvPolynomial.C_dvd_iff_dvd_coeff", "MvPolynomial.C_dvd_iff_map_hom_eq_zero", "MvPolynomial.C_dvd_iff_zmod", "MvPolynomial.C_eq_coe_nat", "MvPolynomial.C_injective", "MvPolynomial.C_mul", "MvPolynomial.C_mul'", "MvPolynomial.C_mul_X_eq_monomial", "MvPolynomial.C_mul_X_pow_eq_monomial", "MvPolynomial.C_mul_monomial", "MvPolynomial.C_pow", "MvPolynomial.C_surjective", "MvPolynomial.IsHomogeneous.C_mul", "MvPolynomial.IsHomogeneous.add", "MvPolynomial.IsHomogeneous.aeval", "MvPolynomial.IsHomogeneous.coeff_eq_zero", "MvPolynomial.IsHomogeneous.coeff_isHomogeneous_of_optionEquivLeft_symm", "MvPolynomial.IsHomogeneous.eq_zero_of_forall_eval_eq_zero", "MvPolynomial.IsHomogeneous.eq_zero_of_forall_eval_eq_zero_of_le_card", "MvPolynomial.IsHomogeneous.eval\u2082", "MvPolynomial.IsHomogeneous.exists_eval_ne_zero_of_coeff_finSuccEquiv_ne_zero_aux", "MvPolynomial.IsHomogeneous.exists_eval_ne_zero_of_totalDegree_le_card_aux", "MvPolynomial.IsHomogeneous.finSuccEquiv_coeff_isHomogeneous", "MvPolynomial.IsHomogeneous.funext", "MvPolynomial.IsHomogeneous.funext_of_le_card", "MvPolynomial.IsHomogeneous.inj_right", "MvPolynomial.IsHomogeneous.map", "MvPolynomial.IsHomogeneous.mul", "MvPolynomial.IsHomogeneous.neg", "MvPolynomial.IsHomogeneous.pow", "MvPolynomial.IsHomogeneous.prod", "MvPolynomial.IsHomogeneous.rename_isHomogeneous", "MvPolynomial.IsHomogeneous.rename_isHomogeneous_iff", "MvPolynomial.IsHomogeneous.sub", "MvPolynomial.IsHomogeneous.sum", "MvPolynomial.IsHomogeneous.totalDegree", "MvPolynomial.IsHomogeneous.totalDegree_le", "MvPolynomial.IsPrime.vanishingIdeal_zeroLocus", "MvPolynomial.IsSymmetric.C", "MvPolynomial.IsSymmetric.add", "MvPolynomial.IsSymmetric.map", "MvPolynomial.IsSymmetric.mul", "MvPolynomial.IsSymmetric.neg", "MvPolynomial.IsSymmetric.one", "MvPolynomial.IsSymmetric.rename", "MvPolynomial.IsSymmetric.sub", "MvPolynomial.IsSymmetric.zero", "MvPolynomial.IsWeightedHomogeneous.add", "MvPolynomial.IsWeightedHomogeneous.coeff_eq_zero", "MvPolynomial.IsWeightedHomogeneous.inj_right", "MvPolynomial.IsWeightedHomogeneous.mul", "MvPolynomial.IsWeightedHomogeneous.prod", "MvPolynomial.IsWeightedHomogeneous.weightedHomogeneousComponent_ne", "MvPolynomial.IsWeightedHomogeneous.weightedHomogeneousComponent_same", "MvPolynomial.IsWeightedHomogeneous.weighted_total_degree", "MvPolynomial.NewtonIdentities.disjUnion_filter_pairs_eq_pairs", "MvPolynomial.NewtonIdentities.disjoint_filter_pairs_lt_filter_pairs_eq", "MvPolynomial.NewtonIdentities.esymm_mul_psum_summand_to_weight", "MvPolynomial.NewtonIdentities.esymm_mul_psum_to_weight", "MvPolynomial.NewtonIdentities.esymm_summand_to_weight", "MvPolynomial.NewtonIdentities.esymm_to_weight", "MvPolynomial.NewtonIdentities.mem_pairs", "MvPolynomial.NewtonIdentities.pairMap_involutive", "MvPolynomial.NewtonIdentities.pairMap_mem_pairs", "MvPolynomial.NewtonIdentities.pairMap_ne_self", "MvPolynomial.NewtonIdentities.pairMap_of_snd_nmem_fst", "MvPolynomial.NewtonIdentities.sum_filter_pairs_eq_sum_filter_antidiagonal_powersetCard_sum", "MvPolynomial.NewtonIdentities.sum_filter_pairs_eq_sum_powersetCard_mem_filter_antidiagonal_sum", "MvPolynomial.NewtonIdentities.sum_filter_pairs_eq_sum_powersetCard_sum", "MvPolynomial.NewtonIdentities.weight_add_weight_pairMap", "MvPolynomial.NewtonIdentities.weight_sum", "MvPolynomial.X_divMonomial", "MvPolynomial.X_dvd_X", "MvPolynomial.X_dvd_iff_modMonomial_eq_zero", "MvPolynomial.X_dvd_monomial", "MvPolynomial.X_inj", "MvPolynomial.X_injective", "MvPolynomial.X_mem_supported", "MvPolynomial.X_mul_divMonomial", "MvPolynomial.X_mul_modMonomial", "MvPolynomial.X_ne_zero", "MvPolynomial.X_pow_eq_monomial", "MvPolynomial.add_divMonomial", "MvPolynomial.adjoin_range_X", "MvPolynomial.aevalTower_C", "MvPolynomial.aevalTower_X", "MvPolynomial.aevalTower_algebraMap", "MvPolynomial.aevalTower_comp_C", "MvPolynomial.aevalTower_comp_toAlgHom", "MvPolynomial.aevalTower_id", "MvPolynomial.aevalTower_ofId", "MvPolynomial.aeval_C", "MvPolynomial.aeval_X", "MvPolynomial.aeval_X_left", "MvPolynomial.aeval_algebraMap_apply", "MvPolynomial.aeval_algebraMap_eq_zero_iff", "MvPolynomial.aeval_algebraMap_eq_zero_iff_of_injective", "MvPolynomial.aeval_comp_bind\u2081", "MvPolynomial.aeval_def", "MvPolynomial.aeval_eq_bind\u2081", "MvPolynomial.aeval_eq_constantCoeff_of_vars", "MvPolynomial.aeval_eq_eval\u2082Hom", "MvPolynomial.aeval_eq_zero", "MvPolynomial.aeval_esymm_eq_multiset_esymm", "MvPolynomial.aeval_id_rename", "MvPolynomial.aeval_map_algebraMap", "MvPolynomial.aeval_monomial", "MvPolynomial.aeval_natDegree_le", "MvPolynomial.aeval_prod", "MvPolynomial.aeval_rename", "MvPolynomial.aeval_unique", "MvPolynomial.aeval_zero'", "MvPolynomial.algHom_C", "MvPolynomial.algHom_ext", "MvPolynomial.algebraMap_apply", "MvPolynomial.algebraMap_def", "MvPolynomial.algebraMap_eq", "MvPolynomial.algebraTensorAlgEquiv_symm_X", "MvPolynomial.algebraTensorAlgEquiv_symm_monomial", "MvPolynomial.algebraTensorAlgEquiv_tmul", "MvPolynomial.as_sum", "MvPolynomial.bind\u2081_C_right", "MvPolynomial.bind\u2081_X_left", "MvPolynomial.bind\u2081_X_right", "MvPolynomial.bind\u2081_bind\u2081", "MvPolynomial.bind\u2081_comp_bind\u2081", "MvPolynomial.bind\u2081_comp_rename", "MvPolynomial.bind\u2081_monomial", "MvPolynomial.bind\u2081_rename", "MvPolynomial.bind\u2082_C_right", "MvPolynomial.bind\u2082_bind\u2082", "MvPolynomial.bind\u2082_id", "MvPolynomial.bind\u2082_map", "MvPolynomial.bind\u2082_monomial", "MvPolynomial.bind\u2082_monomial_one", "MvPolynomial.cardinal_lift_mk_le_max", "MvPolynomial.cardinal_mk_eq_lift", "MvPolynomial.cardinal_mk_eq_max_lift", "MvPolynomial.cardinal_mk_le_max", "MvPolynomial.coe_C", "MvPolynomial.coe_add", "MvPolynomial.coe_aeval_eq_eval", "MvPolynomial.coe_basisMonomials", "MvPolynomial.coe_bit1", "MvPolynomial.coe_eq_one_iff", "MvPolynomial.coe_eq_zero_iff", "MvPolynomial.coe_eval\u2082Hom", "MvPolynomial.coe_inj", "MvPolynomial.coe_injective", "MvPolynomial.coe_monomial", "MvPolynomial.coe_mul", "MvPolynomial.coe_pow", "MvPolynomial.coeff_C", "MvPolynomial.coeff_C_mul", "MvPolynomial.coeff_X", "MvPolynomial.coeff_X'", "MvPolynomial.coeff_X_mul", "MvPolynomial.coeff_X_mul'", "MvPolynomial.coeff_X_pow", "MvPolynomial.coeff_add", "MvPolynomial.coeff_eq_zero_of_totalDegree_lt", "MvPolynomial.coeff_homogeneousComponent", "MvPolynomial.coeff_map", "MvPolynomial.coeff_mem_coeffs", "MvPolynomial.coeff_modMonomial_of_le", "MvPolynomial.coeff_modMonomial_of_not_le", "MvPolynomial.coeff_monomial", "MvPolynomial.coeff_monomial_mul", "MvPolynomial.coeff_monomial_mul'", "MvPolynomial.coeff_mul", "MvPolynomial.coeff_mul_X'", "MvPolynomial.coeff_mul_monomial'", "MvPolynomial.coeff_rTensorAlgHom_monomial_tmul", "MvPolynomial.coeff_rTensorAlgHom_tmul", "MvPolynomial.coeff_rename_eq_zero", "MvPolynomial.coeff_rename_mapDomain", "MvPolynomial.coeff_single_X", "MvPolynomial.coeff_single_X_pow", "MvPolynomial.coeff_smul", "MvPolynomial.coeff_sub", "MvPolynomial.coeff_weightedHomogeneousComponent", "MvPolynomial.coeff_zero", "MvPolynomial.coeff_zero_X", "MvPolynomial.coeffs_eq_empty_of_subsingleton", "MvPolynomial.coeffs_one", "MvPolynomial.coeffs_one_of_nontrivial", "MvPolynomial.coeffs_zero", "MvPolynomial.comapEquiv_symm_coe", "MvPolynomial.comap_apply", "MvPolynomial.comap_comp", "MvPolynomial.comap_comp_apply", "MvPolynomial.comap_eq_id_of_eq_id", "MvPolynomial.comap_id", "MvPolynomial.comap_id_apply", "MvPolynomial.comap_rename", "MvPolynomial.comp_aeval", "MvPolynomial.comp_eval\u2082Hom", "MvPolynomial.constantCoeff_C", "MvPolynomial.constantCoeff_X", "MvPolynomial.constantCoeff_comp_C", "MvPolynomial.constantCoeff_comp_algebraMap", "MvPolynomial.constantCoeff_eq", "MvPolynomial.constantCoeff_map", "MvPolynomial.constantCoeff_monomial", "MvPolynomial.constantCoeff_rename", "MvPolynomial.constantCoeff_smul", "MvPolynomial.continuous_eval", "MvPolynomial.counitNat_C", "MvPolynomial.counitNat_X", "MvPolynomial.counitNat_surjective", "MvPolynomial.counit_X", "MvPolynomial.degreeOf_C", "MvPolynomial.degreeOf_C_mul_le", "MvPolynomial.degreeOf_X", "MvPolynomial.degreeOf_add_le", "MvPolynomial.degreeOf_coeff_finSuccEquiv", "MvPolynomial.degreeOf_def", "MvPolynomial.degreeOf_eq_sup", "MvPolynomial.degreeOf_lt_iff", "MvPolynomial.degreeOf_mul_C_le", "MvPolynomial.degreeOf_mul_X_eq", "MvPolynomial.degreeOf_mul_X_ne", "MvPolynomial.degreeOf_mul_le", "MvPolynomial.degreeOf_rename_of_injective", "MvPolynomial.degreeOf_sub_lt", "MvPolynomial.degreeOf_zero", "MvPolynomial.degree_finSuccEquiv", "MvPolynomial.degrees_C", "MvPolynomial.degrees_X'", "MvPolynomial.degrees_add_of_disjoint", "MvPolynomial.degrees_def", "MvPolynomial.degrees_esymm", "MvPolynomial.degrees_indicator", "MvPolynomial.degrees_map", "MvPolynomial.degrees_monomial", "MvPolynomial.degrees_monomial_eq", "MvPolynomial.degrees_mul", "MvPolynomial.degrees_one", "MvPolynomial.degrees_prod", "MvPolynomial.degrees_rename", "MvPolynomial.degrees_rename_of_injective", "MvPolynomial.degrees_sub", "MvPolynomial.degrees_zero", "MvPolynomial.derivation_C", "MvPolynomial.derivation_C_mul", "MvPolynomial.derivation_eq_of_forall_mem_vars", "MvPolynomial.derivation_eq_zero_of_forall_mem_vars", "MvPolynomial.derivation_ext", "MvPolynomial.divMonomial_add", "MvPolynomial.divMonomial_add_modMonomial_single", "MvPolynomial.divMonomial_mul_monomial", "MvPolynomial.divMonomial_zero", "MvPolynomial.eq_zero_iff", "MvPolynomial.eq_zero_of_eval_eq_zero", "MvPolynomial.esymm_eq_multiset_esymm", "MvPolynomial.esymm_eq_sum_monomial", "MvPolynomial.esymm_eq_sum_subtype", "MvPolynomial.esymm_isSymmetric", "MvPolynomial.esymm_zero", "MvPolynomial.eval_C", "MvPolynomial.eval_X", "MvPolynomial.eval_add", "MvPolynomial.eval_assoc", "MvPolynomial.eval_eq", "MvPolynomial.eval_eq_eval_mv_eval'", "MvPolynomial.eval_eval\u2082", "MvPolynomial.eval_indicator_apply_eq_one", "MvPolynomial.eval_indicator_apply_eq_zero", "MvPolynomial.eval_map", "MvPolynomial.eval_mem", "MvPolynomial.eval_monomial", "MvPolynomial.eval_neg", "MvPolynomial.eval_polynomial_eval_finSuccEquiv", "MvPolynomial.eval_pow", "MvPolynomial.eval_prod", "MvPolynomial.eval_rename", "MvPolynomial.eval_rename_prod_mk", "MvPolynomial.eval_sub", "MvPolynomial.eval_zero'", "MvPolynomial.eval\u2082Hom_C", "MvPolynomial.eval\u2082Hom_C_left", "MvPolynomial.eval\u2082Hom_X", "MvPolynomial.eval\u2082Hom_X'", "MvPolynomial.eval\u2082Hom_comp_C", "MvPolynomial.eval\u2082Hom_congr", "MvPolynomial.eval\u2082Hom_congr'", "MvPolynomial.eval\u2082Hom_eq_constantCoeff_of_vars", "MvPolynomial.eval\u2082Hom_eq_zero", "MvPolynomial.eval\u2082Hom_id_X_eq_join\u2082", "MvPolynomial.eval\u2082Hom_map_hom", "MvPolynomial.eval\u2082Hom_monomial", "MvPolynomial.eval\u2082Hom_rename", "MvPolynomial.eval\u2082Hom_zero", "MvPolynomial.eval\u2082Hom_zero'", "MvPolynomial.eval\u2082Hom_zero'_apply", "MvPolynomial.eval\u2082Hom_zero_apply", "MvPolynomial.eval\u2082_C", "MvPolynomial.eval\u2082_C_mk_eq_zero", "MvPolynomial.eval\u2082_X", "MvPolynomial.eval\u2082_add", "MvPolynomial.eval\u2082_assoc", "MvPolynomial.eval\u2082_cast_comp", "MvPolynomial.eval\u2082_comp_left", "MvPolynomial.eval\u2082_comp_right", "MvPolynomial.eval\u2082_congr", "MvPolynomial.eval\u2082_eq", "MvPolynomial.eval\u2082_eq'", "MvPolynomial.eval\u2082_eq_eval_map", "MvPolynomial.eval\u2082_eta", "MvPolynomial.eval\u2082_id", "MvPolynomial.eval\u2082_map", "MvPolynomial.eval\u2082_mem", "MvPolynomial.eval\u2082_monomial", "MvPolynomial.eval\u2082_mul", "MvPolynomial.eval\u2082_mul_monomial", "MvPolynomial.eval\u2082_neg", "MvPolynomial.eval\u2082_pow", "MvPolynomial.eval\u2082_prod", "MvPolynomial.eval\u2082_rename", "MvPolynomial.eval\u2082_rename_prod_mk", "MvPolynomial.eval\u2082_sub", "MvPolynomial.eval\u2082_zero", "MvPolynomial.eval\u2082_zero_apply", "MvPolynomial.exists_coeff_ne_zero", "MvPolynomial.exists_degree_lt", "MvPolynomial.exists_fin_rename", "MvPolynomial.exists_finset_rename", "MvPolynomial.exists_finset_rename\u2082", "MvPolynomial.exists_rename_eq_of_vars_subset_range", "MvPolynomial.exists_restrict_to_vars", "MvPolynomial.expand_C", "MvPolynomial.expand_bind\u2081", "MvPolynomial.expand_comp_bind\u2081", "MvPolynomial.expand_monomial", "MvPolynomial.expand_one", "MvPolynomial.expand_one_apply", "MvPolynomial.ext_iff", "MvPolynomial.finSuccEquiv_X_succ", "MvPolynomial.finSuccEquiv_X_zero", "MvPolynomial.finSuccEquiv_apply", "MvPolynomial.finSuccEquiv_coeff_coeff", "MvPolynomial.finSuccEquiv_comp_C_eq_C", "MvPolynomial.finSuccEquiv_eq", "MvPolynomial.finSuccEquiv_rename_finSuccEquiv", "MvPolynomial.finSuccEquiv_support", "MvPolynomial.finSuccEquiv_support'", "MvPolynomial.finrank_R", "MvPolynomial.finsum_weightedHomogeneousComponent", "MvPolynomial.finsupp_support_eq_support", "MvPolynomial.frobenius_zmod", "MvPolynomial.funext", "MvPolynomial.funext_fin", "MvPolynomial.funext_iff", "MvPolynomial.hom_C", "MvPolynomial.hom_bind\u2081", "MvPolynomial.hom_congr_vars", "MvPolynomial.homogeneousComponent_C_mul", "MvPolynomial.homogeneousComponent_apply", "MvPolynomial.homogeneousComponent_eq_zero", "MvPolynomial.homogeneousComponent_eq_zero'", "MvPolynomial.homogeneousSubmodule_eq_finsupp_supported", "MvPolynomial.indicator_mem_restrictDegree", "MvPolynomial.induction_on", "MvPolynomial.induction_on'", "MvPolynomial.induction_on'''", "MvPolynomial.induction_on_monomial", "MvPolynomial.isHomogeneous_C", "MvPolynomial.isHomogeneous_C_mul_X_pow", "MvPolynomial.isHomogeneous_X", "MvPolynomial.isHomogeneous_X_pow", "MvPolynomial.isHomogeneous_monomial", "MvPolynomial.isHomogeneous_zero", "MvPolynomial.isLocalization_C_mk'", "MvPolynomial.isMaximal_iff_eq_vanishingIdeal_singleton", "MvPolynomial.isNoetherianRing_fin", "MvPolynomial.isNoetherianRing_fin_0", "MvPolynomial.isRegular_X", "MvPolynomial.isRegular_X_pow", "MvPolynomial.isSymmetric_rename", "MvPolynomial.isWeightedHomogeneous_C", "MvPolynomial.isWeightedHomogeneous_X", "MvPolynomial.isWeightedHomogeneous_monomial", "MvPolynomial.isWeightedHomogeneous_of_total_degree_zero", "MvPolynomial.isWeightedHomogeneous_zero_iff_weightedTotalDegree_eq_zero", "MvPolynomial.is_id", "MvPolynomial.iterToSum_C_C", "MvPolynomial.iterToSum_C_X", "MvPolynomial.iterToSum_X", "MvPolynomial.join\u2081_rename", "MvPolynomial.join\u2082_map", "MvPolynomial.ker_eval\u2097", "MvPolynomial.ker_map", "MvPolynomial.killCompl_C", "MvPolynomial.killCompl_comp_rename", "MvPolynomial.killCompl_rename_app", "MvPolynomial.le_degrees_add", "MvPolynomial.le_totalDegree", "MvPolynomial.le_vanishingIdeal_zeroLocus", "MvPolynomial.le_zeroLocus_iff_le_vanishingIdeal", "MvPolynomial.leibniz_iff_X", "MvPolynomial.linearMap_ext", "MvPolynomial.mapAlgEquiv_refl", "MvPolynomial.mapAlgEquiv_symm", "MvPolynomial.mapAlgEquiv_trans", "MvPolynomial.mapAlgHom_id", "MvPolynomial.mapEquiv_refl", "MvPolynomial.mapEquiv_symm", "MvPolynomial.mapEquiv_trans", "MvPolynomial.mapRange_eq_map", "MvPolynomial.map_C", "MvPolynomial.map_X", "MvPolynomial.map_aeval", "MvPolynomial.map_bind\u2081", "MvPolynomial.map_bind\u2082", "MvPolynomial.map_esymm", "MvPolynomial.map_eval\u2082", "MvPolynomial.map_eval\u2082Hom", "MvPolynomial.map_expand", "MvPolynomial.map_id", "MvPolynomial.map_injective", "MvPolynomial.map_leftInverse", "MvPolynomial.map_map", "MvPolynomial.map_mapRange_eq_iff", "MvPolynomial.map_monomial", "MvPolynomial.map_mvPolynomial_eq_eval\u2082", "MvPolynomial.map_rename", "MvPolynomial.map_restrict_dom_eval\u2097", "MvPolynomial.map_rightInverse", "MvPolynomial.map_surjective", "MvPolynomial.mem_coeffs_iff", "MvPolynomial.mem_degrees", "MvPolynomial.mem_homogeneousSubmodule", "MvPolynomial.mem_ideal_of_coeff_mem_ideal", "MvPolynomial.mem_ideal_span_X_image", "MvPolynomial.mem_ideal_span_monomial_image", "MvPolynomial.mem_ideal_span_monomial_image_iff_dvd", "MvPolynomial.mem_map_C_iff", "MvPolynomial.mem_restrictDegree", "MvPolynomial.mem_restrictDegree_iff_sup", "MvPolynomial.mem_support_iff", "MvPolynomial.mem_support_not_mem_vars_zero", "MvPolynomial.mem_supported", "MvPolynomial.mem_supported_vars", "MvPolynomial.mem_vanishingIdeal_singleton_iff", "MvPolynomial.mem_vars", "MvPolynomial.mem_vars_bind\u2081", "MvPolynomial.mem_vars_rename", "MvPolynomial.mem_weightedHomogeneousSubmodule", "MvPolynomial.mem_zeroLocus_iff", "MvPolynomial.mkDerivation_X", "MvPolynomial.mkDerivation_monomial", "MvPolynomial.mkDerivation\u2097_C", "MvPolynomial.mkDerivation\u2097_monomial", "MvPolynomial.modMonomial_X", "MvPolynomial.monic_monomial_eq", "MvPolynomial.monomial_add_single", "MvPolynomial.monomial_dvd_monomial", "MvPolynomial.monomial_eq", "MvPolynomial.monomial_eq_zero", "MvPolynomial.monomial_finsupp_sum_index", "MvPolynomial.monomial_left_inj", "MvPolynomial.monomial_modMonomial", "MvPolynomial.monomial_mul", "MvPolynomial.monomial_one_dvd_monomial_one", "MvPolynomial.monomial_pow", "MvPolynomial.monomial_single_add", "MvPolynomial.monomial_sum_index", "MvPolynomial.monomial_sum_one", "MvPolynomial.monomial_zero", "MvPolynomial.mul_X_divMonomial", "MvPolynomial.mul_esymm_eq_sum", "MvPolynomial.mul_monomial_modMonomial", "MvPolynomial.natDegree_finSuccEquiv", "MvPolynomial.ne_zero_iff", "MvPolynomial.noZeroDivisors_fin", "MvPolynomial.noZeroDivisors_of_finite", "MvPolynomial.nonTorsionWeight_of", "MvPolynomial.optionEquivLeft_C", "MvPolynomial.optionEquivLeft_X_some", "MvPolynomial.optionEquivRight_C", "MvPolynomial.optionEquivRight_X_some", "MvPolynomial.pderiv_C", "MvPolynomial.pderiv_X", "MvPolynomial.pderiv_X_self", "MvPolynomial.pderiv_def", "MvPolynomial.pderiv_eq_zero_of_not_mem_vars", "MvPolynomial.pderiv_map", "MvPolynomial.pderiv_monomial", "MvPolynomial.pderiv_monomial_single", "MvPolynomial.pderiv_mul", "MvPolynomial.pderiv_pow", "MvPolynomial.polynomial_eval_eval\u2082", "MvPolynomial.prime_C_iff", "MvPolynomial.prime_C_iff_of_fintype", "MvPolynomial.prime_rename_iff", "MvPolynomial.prod_C_add_X_eq_sum_esymm", "MvPolynomial.prod_X_add_C_coeff", "MvPolynomial.prod_X_pow_eq_monomial", "MvPolynomial.psum_def", "MvPolynomial.psum_eq_mul_esymm_sub_sum", "MvPolynomial.psum_zero", "MvPolynomial.quotientEquivQuotientMvPolynomial_leftInverse", "MvPolynomial.quotientEquivQuotientMvPolynomial_rightInverse", "MvPolynomial.quotient_map_C_eq_zero", "MvPolynomial.quotient_mk_comp_C_injective", "MvPolynomial.rTensorAlgHom_apply_eq", "MvPolynomial.rTensorAlgHom_toLinearMap", "MvPolynomial.rTensor_apply", "MvPolynomial.rTensor_apply_X_tmul", "MvPolynomial.rTensor_apply_monomial_tmul", "MvPolynomial.rTensor_apply_tmul", "MvPolynomial.rTensor_apply_tmul_apply", "MvPolynomial.rTensor_symm_apply_single", "MvPolynomial.radical_le_vanishingIdeal_zeroLocus", "MvPolynomial.range_eval\u1d62", "MvPolynomial.rank_R", "MvPolynomial.rank_mvPolynomial", "MvPolynomial.renameEquiv_refl", "MvPolynomial.rename_C", "MvPolynomial.rename_X", "MvPolynomial.rename_bind\u2081", "MvPolynomial.rename_comp_bind\u2081", "MvPolynomial.rename_comp_expand", "MvPolynomial.rename_eq", "MvPolynomial.rename_esymm", "MvPolynomial.rename_expand", "MvPolynomial.rename_id", "MvPolynomial.rename_injective", "MvPolynomial.rename_monomial", "MvPolynomial.rename_prod_mk_eval\u2082", "MvPolynomial.rename_psum", "MvPolynomial.rename_rename", "MvPolynomial.ringHom_ext", "MvPolynomial.scalarRTensor_apply_X_tmul_apply", "MvPolynomial.scalarRTensor_apply_monomial_tmul", "MvPolynomial.scalarRTensor_apply_tmul", "MvPolynomial.scalarRTensor_apply_tmul_apply", "MvPolynomial.scalarRTensor_symm_apply_single", "MvPolynomial.single_eq_monomial", "MvPolynomial.smul_eval", "MvPolynomial.sumToIter_C", "MvPolynomial.sum_C", "MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zero", "MvPolynomial.sum_def", "MvPolynomial.sum_eval_eq_zero", "MvPolynomial.sum_homogeneousComponent", "MvPolynomial.sum_monomial_eq", "MvPolynomial.sum_weightedHomogeneousComponent", "MvPolynomial.support_X", "MvPolynomial.support_X_mul", "MvPolynomial.support_X_pow", "MvPolynomial.support_add", "MvPolynomial.support_coeff_finSuccEquiv", "MvPolynomial.support_eq_empty", "MvPolynomial.support_esymm'", "MvPolynomial.support_esymm''", "MvPolynomial.support_finSuccEquiv_nonempty", "MvPolynomial.support_map_of_injective", "MvPolynomial.support_map_subset", "MvPolynomial.support_monomial", "MvPolynomial.support_mul_X", "MvPolynomial.support_neg", "MvPolynomial.support_nonempty", "MvPolynomial.support_rename_of_injective", "MvPolynomial.support_sdiff_support_subset_support_add", "MvPolynomial.support_smul_eq", "MvPolynomial.support_sum", "MvPolynomial.support_symmDiff_support_subset_support_add", "MvPolynomial.support_zero", "MvPolynomial.supportedEquivMvPolynomial_symm_C", "MvPolynomial.supportedEquivMvPolynomial_symm_X", "MvPolynomial.supported_empty", "MvPolynomial.supported_eq_adjoin_X", "MvPolynomial.supported_eq_range_rename", "MvPolynomial.supported_le_supported_iff", "MvPolynomial.supported_mono", "MvPolynomial.totalDegree_C", "MvPolynomial.totalDegree_X", "MvPolynomial.totalDegree_X_pow", "MvPolynomial.totalDegree_add_eq_left_of_totalDegree_lt", "MvPolynomial.totalDegree_add_eq_right_of_totalDegree_lt", "MvPolynomial.totalDegree_coeff_finSuccEquiv_add_le", "MvPolynomial.totalDegree_eq", "MvPolynomial.totalDegree_finset_prod", "MvPolynomial.totalDegree_finset_sum", "MvPolynomial.totalDegree_le_degrees_card", "MvPolynomial.totalDegree_list_prod", "MvPolynomial.totalDegree_monomial", "MvPolynomial.totalDegree_monomial_le", "MvPolynomial.totalDegree_mul", "MvPolynomial.totalDegree_multiset_prod", "MvPolynomial.totalDegree_neg", "MvPolynomial.totalDegree_pow", "MvPolynomial.totalDegree_rename_le", "MvPolynomial.totalDegree_smul_le", "MvPolynomial.totalDegree_sub", "MvPolynomial.totalDegree_sub_C_le", "MvPolynomial.totalDegree_zero", "MvPolynomial.totalDegree_zero_iff_isHomogeneous", "MvPolynomial.uniqueFactorizationMonoid_of_fintype", "MvPolynomial.vanishingIdeal_empty", "MvPolynomial.vanishingIdeal_pointToPoint", "MvPolynomial.vanishingIdeal_zeroLocus_eq_radical", "MvPolynomial.vars_0", "MvPolynomial.vars_C", "MvPolynomial.vars_C_mul", "MvPolynomial.vars_X", "MvPolynomial.vars_add_of_disjoint", "MvPolynomial.vars_add_subset", "MvPolynomial.vars_bind\u2081", "MvPolynomial.vars_def", "MvPolynomial.vars_map", "MvPolynomial.vars_map_of_injective", "MvPolynomial.vars_monomial", "MvPolynomial.vars_monomial_single", "MvPolynomial.vars_mul", "MvPolynomial.vars_one", "MvPolynomial.vars_pow", "MvPolynomial.vars_prod", "MvPolynomial.vars_rename", "MvPolynomial.vars_sub_of_disjoint", "MvPolynomial.vars_sub_subset", "MvPolynomial.vars_sum_of_disjoint", "MvPolynomial.vars_sum_subset", "MvPolynomial.weightedDegree_apply", "MvPolynomial.weightedDegree_eq_zero_iff", "MvPolynomial.weightedDegree_one", "MvPolynomial.weightedHomogeneousComponent_C_mul", "MvPolynomial.weightedHomogeneousComponent_apply", "MvPolynomial.weightedHomogeneousComponent_eq_zero", "MvPolynomial.weightedHomogeneousComponent_eq_zero'", "MvPolynomial.weightedHomogeneousComponent_finsupp", "MvPolynomial.weightedHomogeneousComponent_isWeightedHomogeneous", "MvPolynomial.weightedHomogeneousComponent_mem", "MvPolynomial.weightedHomogeneousComponent_weighted_homogeneous_polynomial", "MvPolynomial.weightedHomogeneousComponent_zero", "MvPolynomial.weightedHomogeneousSubmodule_eq_finsupp_supported", "MvPolynomial.weightedHomogeneousSubmodule_mul", "MvPolynomial.weightedHomogeneousSubmodule_one", "MvPolynomial.weightedTotalDegree'_eq_bot_iff", "MvPolynomial.weightedTotalDegree'_zero", "MvPolynomial.weightedTotalDegree_coe", "MvPolynomial.weightedTotalDegree_eq_zero_iff", "MvPolynomial.weightedTotalDegree_one", "MvPolynomial.weightedTotalDegree_zero", "MvPolynomial.zeroLocus_bot", "MvPolynomial.zeroLocus_span", "MvPolynomial.zeroLocus_top", "MvPolynomial.zeroLocus_vanishingIdeal_galoisConnection", "MvPolynomial.zero_divMonomial", "MvPolynomial.zero_not_mem_coeffs", "MvPowerSeries.C_inv", "MvPowerSeries.X_dvd_iff", "MvPowerSeries.X_inj", "MvPowerSeries.X_inv", "MvPowerSeries.X_pow_dvd_iff", "MvPowerSeries.X_pow_eq", "MvPowerSeries.add_mul", "MvPowerSeries.algebraMap_apply", "MvPowerSeries.algebraMap_apply'", "MvPowerSeries.c_eq_algebraMap", "MvPowerSeries.coeff_C_mul", "MvPowerSeries.coeff_X", "MvPowerSeries.coeff_add_monomial_mul", "MvPowerSeries.coeff_add_mul_monomial", "MvPowerSeries.coeff_comp_monomial", "MvPowerSeries.coeff_index_single_X", "MvPowerSeries.coeff_index_single_self_X", "MvPowerSeries.coeff_inv", "MvPowerSeries.coeff_invOfUnit", "MvPowerSeries.coeff_inv_aux", "MvPowerSeries.coeff_monomial", "MvPowerSeries.coeff_monomial_mul", "MvPowerSeries.coeff_monomial_ne", "MvPowerSeries.coeff_monomial_same", "MvPowerSeries.coeff_mul", "MvPowerSeries.coeff_mul_monomial", "MvPowerSeries.coeff_one", "MvPowerSeries.coeff_prod", "MvPowerSeries.coeff_smul", "MvPowerSeries.coeff_trunc", "MvPowerSeries.coeff_truncFun", "MvPowerSeries.coeff_zero", "MvPowerSeries.coeff_zero_C", "MvPowerSeries.coeff_zero_X", "MvPowerSeries.coeff_zero_X_mul", "MvPowerSeries.coeff_zero_eq_constantCoeff_apply", "MvPowerSeries.coeff_zero_mul_X", "MvPowerSeries.commute_monomial", "MvPowerSeries.constantCoeff_inv", "MvPowerSeries.constantCoeff_invOfUnit", "MvPowerSeries.constantCoeff_map", "MvPowerSeries.constantCoeff_zero", "MvPowerSeries.eq_inv_iff_mul_eq_one", "MvPowerSeries.eq_mul_inv_iff_mul_eq", "MvPowerSeries.eq_of_coeff_monomial_ne_zero", "MvPowerSeries.ext", "MvPowerSeries.ext_iff", "MvPowerSeries.invOfUnit_eq'", "MvPowerSeries.inv_eq_iff_mul_eq_one", "MvPowerSeries.inv_eq_zero", "MvPowerSeries.inv_mul_cancel", "MvPowerSeries.isUnit_constantCoeff", "MvPowerSeries.map_C", "MvPowerSeries.map_X", "MvPowerSeries.map_comp", "MvPowerSeries.map_id", "MvPowerSeries.map_monomial", "MvPowerSeries.monomial_def", "MvPowerSeries.monomial_mul_monomial", "MvPowerSeries.monomial_zero_eq_C", "MvPowerSeries.monomial_zero_eq_C_apply", "MvPowerSeries.mul_add", "MvPowerSeries.mul_assoc", "MvPowerSeries.mul_invOfUnit", "MvPowerSeries.mul_inv_cancel", "MvPowerSeries.mul_inv_rev", "MvPowerSeries.mul_zero", "MvPowerSeries.one_mul", "MvPowerSeries.smul_eq_C_mul", "MvPowerSeries.trunc_c", "MvPowerSeries.trunc_one", "MvPowerSeries.zero_inv", "MvPowerSeries.zero_mul", "MvQPF.Cofix.abs_repr", "MvQPF.Cofix.bisim", "MvQPF.Cofix.bisim'", "MvQPF.Cofix.bisim_aux", "MvQPF.Cofix.bisim_rel", "MvQPF.Cofix.bisim\u2082", "MvQPF.Cofix.dest_corec", "MvQPF.Cofix.dest_corec'", "MvQPF.Cofix.dest_mk", "MvQPF.Cofix.ext", "MvQPF.Cofix.ext_mk", "MvQPF.Cofix.mk_dest", "MvQPF.Comp.get_map", "MvQPF.Comp.get_mk", "MvQPF.Comp.mk_get", "MvQPF.Const.map_mk", "MvQPF.Fix.dest_mk", "MvQPF.Fix.ind", "MvQPF.Fix.ind_aux", "MvQPF.Fix.ind_rec", "MvQPF.Fix.mk_dest", "MvQPF.Fix.rec_eq", "MvQPF.Fix.rec_unique", "MvQPF.comp_map", "MvQPF.corecF_eq", "MvQPF.corec_roll", "MvQPF.has_good_supp_iff", "MvQPF.id_map", "MvQPF.liftP_iff", "MvQPF.liftP_iff_of_isUniform", "MvQPF.liftR_iff", "MvQPF.liftR_map", "MvQPF.liftR_map_last", "MvQPF.liftR_map_last'", "MvQPF.mem_supp", "MvQPF.recF_eq", "MvQPF.recF_eq'", "MvQPF.recF_eq_of_wEquiv", "MvQPF.suppPreservation_iff_isUniform", "MvQPF.suppPreservation_iff_liftpPreservation", "MvQPF.supp_eq", "MvQPF.supp_eq_of_isUniform", "MvQPF.supp_map", "MvQPF.wEquiv.abs'", "MvQPF.wEquiv.refl", "MvQPF.wEquiv.symm", "MvQPF.wEquiv_map", "MvQPF.wrepr_equiv", "MvQPF.wrepr_wMk", "NFA.evalFrom_append_singleton", "NFA.evalFrom_nil", "NFA.evalFrom_singleton", "NFA.eval_append_singleton", "NFA.eval_nil", "NFA.mem_accepts", "NFA.pumping_lemma", "NFA.stepSet_empty", "NFA.toDFA_correct", "NFA.to\u03b5NFA_correct", "NFA.to\u03b5NFA_evalFrom_match", "NNRat.Nonneg.coe_ofScientific", "NNRat.abs_coe", "NNRat.addSubmonoid_closure_range_pow", "NNRat.add_def", "NNRat.bddAbove_coe", "NNRat.bddBelow_coe", "NNRat.cast_add_of_ne_zero", "NNRat.cast_comm", "NNRat.cast_commute", "NNRat.cast_def", "NNRat.cast_divNat_of_ne_zero", "NNRat.cast_div_of_ne_zero", "NNRat.cast_eq_id", "NNRat.cast_id", "NNRat.cast_inv_of_ne_zero", "NNRat.cast_lt_zero", "NNRat.cast_max", "NNRat.cast_mul_of_ne_zero", "NNRat.cast_natCast", "NNRat.cast_nonneg", "NNRat.cast_nonpos", "NNRat.cast_ofNat", "NNRat.cast_ofScientific", "NNRat.cast_pow", "NNRat.cast_strictMono", "NNRat.cast_zpow_of_ne_zero", "NNRat.coe_div", "NNRat.coe_eq_zero", "NNRat.coe_inj", "NNRat.coe_injective", "NNRat.coe_inv", "NNRat.coe_le_coe", "NNRat.coe_list_prod", "NNRat.coe_lt_coe", "NNRat.coe_min", "NNRat.coe_mk", "NNRat.coe_mono", "NNRat.coe_multiset_prod", "NNRat.coe_multiset_sum", "NNRat.coe_natCast", "NNRat.coe_ne_zero", "NNRat.coe_nonneg", "NNRat.coe_one", "NNRat.coe_pos", "NNRat.coe_pow", "NNRat.coe_prod", "NNRat.coe_sub", "NNRat.coe_zero", "NNRat.commute_cast", "NNRat.den_coe", "NNRat.den_inv_of_ne_zero", "NNRat.den_mk", "NNRat.den_mul_eq_num", "NNRat.den_ofNat", "NNRat.den_pos", "NNRat.divNat_inj", "NNRat.divNat_mul_left", "NNRat.divNat_zero", "NNRat.div_def", "NNRat.ext_num_den", "NNRat.ext_num_den_iff", "NNRat.forall", "NNRat.inv_def", "NNRat.le_def", "NNRat.lt_def", "NNRat.mk_divInt", "NNRat.mul_def", "NNRat.mul_den_eq_num", "NNRat.natCast_eq_divNat", "NNRat.ne_iff", "NNRat.not_cast_lt_zero", "NNRat.num_coe", "NNRat.num_divNat_den", "NNRat.num_div_den", "NNRat.num_inv_of_ne_zero", "NNRat.num_natCast", "NNRat.num_pos", "NNRat.num_pow", "NNRat.preimage_cast_Icc", "NNRat.preimage_cast_Ico", "NNRat.preimage_cast_Iio", "NNRat.preimage_cast_Ioc", "NNRat.preimage_cast_Ioi", "NNRat.preimage_cast_Ioo", "NNRat.preimage_cast_uIcc", "NNRat.preimage_cast_uIoc", "NNRat.smul_def", "NNRat.smul_one_eq_cast", "NNRat.toNNRat_coe_nat", "NNRat.toNNRat_prod_of_nonneg", "NNRat.toNNRat_sum_of_nonneg", "NNRat.val_eq_cast", "NNReal.IsConjExponent.conjExponent_eq", "NNReal.IsConjExponent.conj_eq", "NNReal.IsConjExponent.div_conj_eq_sub_one", "NNReal.IsConjExponent.inv_add_inv_conj_ennreal", "NNReal.IsConjExponent.inv_inv", "NNReal.IsConjExponent.inv_ne_zero", "NNReal.IsConjExponent.inv_one_sub_inv", "NNReal.IsConjExponent.mul_eq_add", "NNReal.IsConjExponent.ne_zero", "NNReal.IsConjExponent.one_le", "NNReal.IsConjExponent.one_sub_inv", "NNReal.IsConjExponent.one_sub_inv_inv", "NNReal.IsConjExponent.pos", "NNReal.IsConjExponent.sub_one_mul_conj", "NNReal.IsConjExponent.sub_one_ne_zero", "NNReal.IsConjExponent.sub_one_pos", "NNReal.IsConjExponent.symm", "NNReal.Lp_add_le", "NNReal.Lp_add_le_hasSum", "NNReal.Lp_add_le_tsum", "NNReal.Lp_add_le_tsum'", "NNReal.abs_eq", "NNReal.add_rpow_le_one_of_add_le_one", "NNReal.add_rpow_le_rpow_add", "NNReal.arith_mean_le_rpow_mean", "NNReal.ball_zero_eq_Ico", "NNReal.bddAbove_coe", "NNReal.bddBelow_coe", "NNReal.bot_eq_zero", "NNReal.closedBall_zero_eq_Icc", "NNReal.closedBall_zero_eq_Icc'", "NNReal.coe_add", "NNReal.coe_div", "NNReal.coe_eq_one", "NNReal.coe_eq_zero", "NNReal.coe_iInf", "NNReal.coe_iSup", "NNReal.coe_indicator", "NNReal.coe_inj", "NNReal.coe_injective", "NNReal.coe_inv", "NNReal.coe_le_coe", "NNReal.coe_le_one", "NNReal.coe_list_sum", "NNReal.coe_lt_coe", "NNReal.coe_lt_one", "NNReal.coe_min", "NNReal.coe_mk", "NNReal.coe_mono", "NNReal.coe_mul", "NNReal.coe_multiset_prod", "NNReal.coe_multiset_sum", "NNReal.coe_natCast", "NNReal.coe_nonneg", "NNReal.coe_nsmul", "NNReal.coe_ofNat", "NNReal.coe_ofScientific", "NNReal.coe_one", "NNReal.coe_pos", "NNReal.coe_pow", "NNReal.coe_prod", "NNReal.coe_real_pi", "NNReal.coe_rpow", "NNReal.coe_sInf", "NNReal.coe_sSup", "NNReal.coe_sub", "NNReal.coe_sum", "NNReal.coe_tsum", "NNReal.coe_tsum_of_nonneg", "NNReal.coe_two", "NNReal.coe_zero", "NNReal.coe_zpow", "NNReal.concaveOn_rpow", "NNReal.continuousAt_rpow", "NNReal.continuousAt_rpow_const", "NNReal.continuous_coe", "NNReal.continuous_rpow_const", "NNReal.continuous_sqrt", "NNReal.count_const_le_le_of_tsum_le", "NNReal.dist_eq", "NNReal.div_le_div_left_of_le", "NNReal.div_le_iff", "NNReal.div_le_iff'", "NNReal.div_le_of_le_mul", "NNReal.div_le_of_le_mul'", "NNReal.div_lt_iff", "NNReal.div_lt_iff'", "NNReal.div_lt_one_of_lt", "NNReal.div_rpow", "NNReal.eq", "NNReal.eq_iff", "NNReal.eq_rpow_one_div_iff", "NNReal.eventually_pow_one_div_le", "NNReal.exists_le_hasSum_of_le", "NNReal.exists_lt_of_strictMono", "NNReal.exists_mem_Ico_zpow", "NNReal.exists_mem_Ioc_zpow", "NNReal.exists_pos_sum_of_countable", "NNReal.exists_pow_lt_of_lt_one", "NNReal.forall", "NNReal.geom_mean_le_arith_mean2_weighted", "NNReal.geom_mean_le_arith_mean3_weighted", "NNReal.geom_mean_le_arith_mean4_weighted", "NNReal.geom_mean_le_arith_mean_weighted", "NNReal.half_le_self", "NNReal.hasSum_coe", "NNReal.hasSum_geometric", "NNReal.hasSum_iff_tendsto_nat", "NNReal.hasSum_lt", "NNReal.hasSum_nat_add_iff", "NNReal.hasSum_real_toNNReal_of_nonneg", "NNReal.hasSum_strict_mono", "NNReal.iInf_const_zero", "NNReal.iInf_empty", "NNReal.iInf_mul", "NNReal.iInf_real_pos_eq_iInf_nnreal_pos", "NNReal.iSup_div", "NNReal.iSup_mul", "NNReal.iSup_mul_le", "NNReal.indicator_summable", "NNReal.inner_le_Lp_mul_Lp_of_norm_eq_zero", "NNReal.inner_le_Lp_mul_Lp_of_norm_le_one", "NNReal.inner_le_Lp_mul_Lq", "NNReal.inner_le_Lp_mul_Lq_hasSum", "NNReal.inner_le_Lp_mul_Lq_tsum", "NNReal.inner_le_weight_mul_Lp", "NNReal.inv_le", "NNReal.inv_lt_inv", "NNReal.inv_rpow", "NNReal.isConjExponent_coe", "NNReal.isConjExponent_iff_eq_conjExponent", "NNReal.isGreatest_Lp", "NNReal.le_add_nndist", "NNReal.le_div_iff", "NNReal.le_div_iff_mul_le", "NNReal.le_iInf_add_iInf", "NNReal.le_iInf_mul", "NNReal.le_inv_iff_mul_le", "NNReal.le_mul_iInf", "NNReal.le_of_forall_lt_one_mul_le", "NNReal.le_rpow_one_div_iff", "NNReal.le_sqrt_iff_sq_le", "NNReal.le_toNNReal_of_coe_le", "NNReal.lintegral_mul_le_Lp_mul_Lq", "NNReal.lipschitzWith_sub", "NNReal.list_prod_map_rpow'", "NNReal.lt_div_iff'", "NNReal.lt_iff_exists_rat_btwn", "NNReal.lt_inv_iff_mul_lt", "NNReal.map_coe_atTop", "NNReal.measurable_of_tendsto", "NNReal.measurable_of_tendsto'", "NNReal.mul_eq_mul_left", "NNReal.mul_iInf", "NNReal.mul_iSup", "NNReal.mul_iSup_le", "NNReal.mul_le_iff_le_inv", "NNReal.mul_lt_of_lt_div", "NNReal.mul_self_sqrt", "NNReal.multiset_prod_map_rpow", "NNReal.natCast_natAbs", "NNReal.ne_iff", "NNReal.nhds_zero", "NNReal.nndist_eq", "NNReal.nndist_zero_eq_val", "NNReal.nndist_zero_eq_val'", "NNReal.norm_eq", "NNReal.not_summable_iff_tendsto_nat_atTop", "NNReal.one_le_coe", "NNReal.one_le_rpow", "NNReal.one_le_rpow_of_pos_of_le_one_of_nonpos", "NNReal.one_le_sqrt", "NNReal.one_lt_coe", "NNReal.one_lt_rpow_of_pos_of_lt_one_of_neg", "NNReal.one_rpow", "NNReal.orderIsoIccZeroCoe_symm_apply_coe", "NNReal.orderIsoRpow_symm_eq", "NNReal.pi_ne_zero", "NNReal.pi_pos", "NNReal.pow_antitone_exp", "NNReal.pow_rpow_inv_natCast", "NNReal.pow_sum_div_card_le_sum_pow", "NNReal.rpow_add", "NNReal.rpow_add'", "NNReal.rpow_add_le_add_rpow", "NNReal.rpow_add_le_mul_rpow_add_rpow", "NNReal.rpow_add_rpow_le", "NNReal.rpow_add_rpow_le_add", "NNReal.rpow_arith_mean_le_arith_mean2_rpow", "NNReal.rpow_eq_rpow_iff", "NNReal.rpow_eq_zero_iff", "NNReal.rpow_inv_natCast_pow", "NNReal.rpow_inv_rpow", "NNReal.rpow_inv_rpow_self", "NNReal.rpow_le_one", "NNReal.rpow_le_rpow", "NNReal.rpow_le_rpow_iff", "NNReal.rpow_le_rpow_of_exponent_ge", "NNReal.rpow_le_self_of_le_one", "NNReal.rpow_left_bijective", "NNReal.rpow_left_injective", "NNReal.rpow_left_surjective", "NNReal.rpow_lt_one", "NNReal.rpow_lt_one_of_one_lt_of_neg", "NNReal.rpow_lt_rpow_of_exponent_lt", "NNReal.rpow_mul", "NNReal.rpow_natCast", "NNReal.rpow_of_add_eq", "NNReal.rpow_one", "NNReal.rpow_one_div_eq_iff", "NNReal.rpow_one_div_le_iff", "NNReal.rpow_pos", "NNReal.rpow_rpow_inv", "NNReal.rpow_self_rpow_inv", "NNReal.rpow_sub'", "NNReal.rpow_sum_le_const_mul_sum_rpow", "NNReal.rpow_two", "NNReal.rpow_zero", "NNReal.sInf_empty", "NNReal.sSup_of_not_bddAbove", "NNReal.smul_def", "NNReal.sq_sqrt", "NNReal.sqrt_div", "NNReal.sqrt_eq_one", "NNReal.sqrt_eq_rpow", "NNReal.sqrt_eq_zero", "NNReal.sqrt_le_iff_le_sq", "NNReal.sqrt_le_one", "NNReal.sqrt_le_sqrt", "NNReal.sqrt_lt_sqrt", "NNReal.sqrt_mul", "NNReal.sqrt_mul_self", "NNReal.sqrt_one", "NNReal.sqrt_pos", "NNReal.sqrt_sq", "NNReal.strictConcaveOn_rpow", "NNReal.strictConcaveOn_sqrt", "NNReal.strictMono_rpow_of_pos", "NNReal.sub_div", "NNReal.sum_mul_le_sqrt_mul_sqrt", "NNReal.sum_sqrt_mul_sqrt_le", "NNReal.summable_Lp_add", "NNReal.summable_coe", "NNReal.summable_comp_injective", "NNReal.summable_condensed_iff", "NNReal.summable_geometric", "NNReal.summable_iff_not_tendsto_nat_atTop", "NNReal.summable_mul_of_Lp_Lq", "NNReal.summable_nat_add", "NNReal.summable_nat_add_iff", "NNReal.summable_of_le", "NNReal.summable_of_sum_range_le", "NNReal.summable_one_div_rpow", "NNReal.summable_rpow", "NNReal.summable_rpow_inv", "NNReal.summable_schlomilch_iff", "NNReal.summable_sigma", "NNReal.tendsto_algebraMap_inverse_atTop_nhds_zero_nat", "NNReal.tendsto_atTop_zero_of_summable", "NNReal.tendsto_coe", "NNReal.tendsto_coe'", "NNReal.tendsto_cofinite_zero_of_summable", "NNReal.tendsto_inverse_atTop_nhds_zero_nat", "NNReal.tendsto_of_antitone", "NNReal.tendsto_pow_atTop_nhds_zero_iff", "NNReal.tendsto_pow_atTop_nhds_zero_of_lt_one", "NNReal.tendsto_rpow_atTop", "NNReal.tendsto_sum_nat_add", "NNReal.tendsto_tsum_compl_atTop_zero", "NNReal.toNNReal_coe_nat", "NNReal.tsum_comp_le_tsum_of_inj", "NNReal.tsum_eq_add_tsum_ite", "NNReal.tsum_eq_toNNReal_tsum", "NNReal.tsum_le_of_sum_range_le", "NNReal.tsum_lt_tsum", "NNReal.tsum_mul_left", "NNReal.tsum_mul_right", "NNReal.tsum_pos", "NNReal.val_eq_coe", "NNReal.young_inequality", "NNReal.young_inequality_real", "NNReal.zero_le_coe", "NNReal.zero_rpow", "NONote.cmp_compares", "NONote.lt_wf", "NONote.repr_add", "NONote.repr_mul", "NONote.repr_opow", "Nat.AB_id_helper", "Nat.AM_GM", "Nat.AtLeastTwo.ne_one", "Nat.AtLeastTwo.one_lt", "Nat.Coprime.cast", "Nat.Coprime.coprime_div_left", "Nat.Coprime.coprime_dvd_left", "Nat.Coprime.coprime_dvd_right", "Nat.Coprime.coprime_mul_left", "Nat.Coprime.coprime_mul_left_right", "Nat.Coprime.coprime_mul_right_right", "Nat.Coprime.dvd_mul_left", "Nat.Coprime.dvd_mul_right", "Nat.Coprime.dvd_of_dvd_mul_left", "Nat.Coprime.dvd_of_dvd_mul_right", "Nat.Coprime.eq_of_mul_eq_zero", "Nat.Coprime.eq_one_of_dvd", "Nat.Coprime.gcd_eq_one", "Nat.Coprime.gcd_left", "Nat.Coprime.gcd_mul", "Nat.Coprime.gcd_mul_left_cancel", "Nat.Coprime.gcd_mul_left_cancel_right", "Nat.Coprime.gcd_mul_right_cancel", "Nat.Coprime.gcd_mul_right_cancel_right", "Nat.Coprime.isPrimePow_dvd_mul", "Nat.Coprime.lcm_eq_mul", "Nat.Coprime.mul", "Nat.Coprime.mul_add_mul_ne_mul", "Nat.Coprime.mul_dvd_of_dvd_of_dvd", "Nat.Coprime.mul_right", "Nat.Coprime.orderOf_pow", "Nat.Coprime.pow_left", "Nat.Coprime.pow_left_bijective", "Nat.Coprime.primeFactors_mul", "Nat.Coprime.symmetric", "Nat.Even.sub_odd", "Nat.Icc_factorization_eq_pow_dvd", "Nat.Icc_pred_right", "Nat.Icc_succ_left", "Nat.Ico_eq_range'", "Nat.Ico_filter_coprime_le", "Nat.Ico_filter_modEq_card", "Nat.Ico_filter_modEq_cast", "Nat.Ico_filter_pow_dvd_eq", "Nat.Ico_insert_succ_left", "Nat.Ico_pred_singleton", "Nat.Ico_succ_left", "Nat.Ico_succ_left_eq_erase_Ico", "Nat.Ico_succ_right", "Nat.Ico_succ_right_eq_insert_Ico", "Nat.Ico_succ_singleton", "Nat.Ico_succ_succ", "Nat.Ico_zero_eq_range", "Nat.Iio_eq_range", "Nat.Ioc_filter_dvd_card_eq_div", "Nat.Ioc_filter_modEq_card", "Nat.Ioc_filter_modEq_cast", "Nat.Ioc_succ_singleton", "Nat.ModEq.add", "Nat.ModEq.add_le_of_lt", "Nat.ModEq.add_left", "Nat.ModEq.add_left_cancel", "Nat.ModEq.add_right", "Nat.ModEq.add_right_cancel", "Nat.ModEq.cancel_left_div_gcd", "Nat.ModEq.cancel_left_div_gcd'", "Nat.ModEq.cancel_left_of_coprime", "Nat.ModEq.cancel_right_div_gcd", "Nat.ModEq.cancel_right_div_gcd'", "Nat.ModEq.cancel_right_of_coprime", "Nat.ModEq.comm", "Nat.ModEq.dvd_iff", "Nat.ModEq.eq_of_abs_lt", "Nat.ModEq.gcd_eq", "Nat.ModEq.mul", "Nat.ModEq.mul_left", "Nat.ModEq.mul_left'", "Nat.ModEq.mul_left_cancel'", "Nat.ModEq.mul_left_cancel_iff'", "Nat.ModEq.mul_right", "Nat.ModEq.mul_right'", "Nat.ModEq.mul_right_cancel'", "Nat.ModEq.of_div", "Nat.ModEq.of_dvd", "Nat.ModEq.of_mul_left", "Nat.ModEq.pow_totient", "Nat.ModEq.refl", "Nat.ModEq.symm", "Nat.ModEq.trans", "Nat.NormDigits.digits_one", "Nat.NormDigits.digits_succ", "Nat.Odd.of_mul_left", "Nat.Odd.sub_even", "Nat.Odd.sub_odd", "Nat.Partition.count_ofSums_zero", "Nat.Partition.indiscrete_parts", "Nat.Partition.ofComposition_surj", "Nat.Partition.partition_one_parts", "Nat.Partition.partition_zero_parts", "Nat.Partrec'.bind", "Nat.Partrec'.comp'", "Nat.Partrec'.head", "Nat.Partrec'.idv", "Nat.Partrec'.map", "Nat.Partrec'.nil", "Nat.Partrec'.of_part", "Nat.Partrec'.part_iff", "Nat.Partrec'.part_iff\u2081", "Nat.Partrec'.part_iff\u2082", "Nat.Partrec'.rfindOpt", "Nat.Partrec'.tail", "Nat.Partrec'.to_part", "Nat.Partrec'.vec_iff", "Nat.Partrec.Code.comp_prim", "Nat.Partrec.Code.const_inj", "Nat.Partrec.Code.const_prim", "Nat.Partrec.Code.curry_inj", "Nat.Partrec.Code.encodeCode_eq", "Nat.Partrec.Code.encode_lt_comp", "Nat.Partrec.Code.encode_lt_pair", "Nat.Partrec.Code.encode_lt_prec", "Nat.Partrec.Code.encode_lt_rfind'", "Nat.Partrec.Code.encode_ofNatCode", "Nat.Partrec.Code.eval_const", "Nat.Partrec.Code.eval_curry", "Nat.Partrec.Code.eval_eq_rfindOpt", "Nat.Partrec.Code.eval_id", "Nat.Partrec.Code.eval_prec_succ", "Nat.Partrec.Code.eval_prec_zero", "Nat.Partrec.Code.evaln_bound", "Nat.Partrec.Code.evaln_complete", "Nat.Partrec.Code.evaln_map", "Nat.Partrec.Code.evaln_mono", "Nat.Partrec.Code.evaln_prim", "Nat.Partrec.Code.evaln_sound", "Nat.Partrec.Code.exists_code", "Nat.Partrec.Code.fixed_point", "Nat.Partrec.Code.fixed_point\u2082", "Nat.Partrec.Code.hG", "Nat.Partrec.Code.hlup", "Nat.Partrec.Code.ofNatCode_eq", "Nat.Partrec.Code.rec_computable", "Nat.Partrec.Code.rec_prim'", "Nat.Partrec.Code.rfind_prim", "Nat.Partrec.merge'", "Nat.Partrec.none", "Nat.Partrec.of_eq", "Nat.Partrec.of_primrec", "Nat.Partrec.ppred", "Nat.Partrec.prec'", "Nat.Partrec.rfind'", "Nat.Partrec.some", "Nat.Prime.coprime_iff_not_dvd", "Nat.Prime.coprime_pow_of_not_dvd", "Nat.Prime.divisors", "Nat.Prime.divisors_sq", "Nat.Prime.dvd_choose", "Nat.Prime.dvd_choose_add", "Nat.Prime.dvd_choose_pow", "Nat.Prime.dvd_choose_pow_iff", "Nat.Prime.dvd_choose_self", "Nat.Prime.dvd_factorial", "Nat.Prime.dvd_iff_eq", "Nat.Prime.dvd_mul_of_dvd_ne", "Nat.Prime.eq_of_factorization_pos", "Nat.Prime.eq_one_of_pow", "Nat.Prime.eq_one_or_self_of_dvd", "Nat.Prime.eq_two_or_odd", "Nat.Prime.eq_two_or_odd'", "Nat.Prime.even_iff", "Nat.Prime.even_sub_one", "Nat.Prime.exists_orderOf_eq_pow_factorization_exponent", "Nat.Prime.factoredNumbers_coprime", "Nat.Prime.factorization", "Nat.Prime.factorization_pos_of_dvd", "Nat.Prime.factorization_pow", "Nat.Prime.factorization_self", "Nat.Prime.factors_pow", "Nat.Prime.five_le_of_ne_two_of_ne_three", "Nat.Prime.minFac_eq", "Nat.Prime.mod_four_ne_three_of_dvd_isSquare_neg_one", "Nat.Prime.mod_two_eq_one_iff_ne_two", "Nat.Prime.mul_eq_prime_sq_iff", "Nat.Prime.multiplicity_choose", "Nat.Prime.multiplicity_choose'", "Nat.Prime.multiplicity_choose_aux", "Nat.Prime.multiplicity_choose_prime_pow_add_multiplicity", "Nat.Prime.multiplicity_factorial", "Nat.Prime.multiplicity_factorial_le_div_pred", "Nat.Prime.multiplicity_factorial_mul", "Nat.Prime.multiplicity_factorial_mul_succ", "Nat.Prime.multiplicity_le_multiplicity_choose_add", "Nat.Prime.multiplicity_mul", "Nat.Prime.multiplicity_one", "Nat.Prime.multiplicity_pow", "Nat.Prime.multiplicity_pow_self", "Nat.Prime.multiplicity_self", "Nat.Prime.ne_one", "Nat.Prime.ne_zero", "Nat.Prime.not_coprime_iff_dvd", "Nat.Prime.not_dvd_one", "Nat.Prime.not_prime_pow'", "Nat.Prime.odd_of_ne_two", "Nat.Prime.one_le", "Nat.Prime.one_lt", "Nat.Prime.pos", "Nat.Prime.pow_dvd_factorial_iff", "Nat.Prime.pow_dvd_iff_dvd_ord_proj", "Nat.Prime.pow_dvd_iff_le_factorization", "Nat.Prime.pow_eq_iff", "Nat.Prime.pow_inj", "Nat.Prime.pow_minFac", "Nat.Prime.primeFactors", "Nat.Prime.prod_divisors", "Nat.Prime.prod_properDivisors", "Nat.Prime.properDivisors", "Nat.Prime.smoothNumbers_coprime", "Nat.Prime.sq_add_sq", "Nat.Prime.sub_one_mul_multiplicity_factorial", "Nat.Prime.sum_four_squares", "Nat.Prime.two_le", "Nat.Primes.coe_nat_injective", "Nat.Primes.coe_pnat_inj", "Nat.Primes.summable_rpow", "Nat.Primrec'.add", "Nat.Primrec'.comp'", "Nat.Primrec'.comp\u2082", "Nat.Primrec'.head", "Nat.Primrec'.idv", "Nat.Primrec'.if_lt", "Nat.Primrec'.mul", "Nat.Primrec'.of_eq", "Nat.Primrec'.of_prim", "Nat.Primrec'.prec'", "Nat.Primrec'.pred", "Nat.Primrec'.prim_iff\u2081", "Nat.Primrec'.prim_iff\u2082", "Nat.Primrec'.sqrt", "Nat.Primrec'.sub", "Nat.Primrec'.tail", "Nat.Primrec'.to_prim", "Nat.Primrec'.unpair\u2081", "Nat.Primrec'.unpair\u2082", "Nat.Primrec.add", "Nat.Primrec.casesOn1", "Nat.Primrec.const", "Nat.Primrec.id", "Nat.Primrec.mul", "Nat.Primrec.of_eq", "Nat.Primrec.pow", "Nat.Primrec.prec1", "Nat.Primrec.pred", "Nat.Primrec.sub", "Nat.Primrec.swap", "Nat.Primrec.swap'", "Nat.Squarefree.ext_iff", "Nat.Subtype.coe_comp_ofNat_range", "Nat.Subtype.exists_succ", "Nat.Subtype.lt_succ_iff_le", "Nat.Subtype.lt_succ_self", "Nat.Subtype.ofNat_surjective_aux", "Nat.Subtype.orderIsoOfNat_apply", "Nat.Subtype.right_inverse_aux", "Nat.Subtype.succ_le_of_lt", "Nat.Subtype.toFunAux_eq", "Nat.Up.WF", "Nat.Up.next", "Nat.Upto.wf", "Nat.WithBot.add_eq_one_iff", "Nat.WithBot.add_eq_three_iff", "Nat.WithBot.add_eq_two_iff", "Nat.WithBot.add_eq_zero_iff", "Nat.WithBot.add_one_le_of_lt", "Nat.WithBot.coe_nonneg", "Nat.WithBot.lt_one_iff_le_zero", "Nat.WithBot.lt_zero_iff", "Nat.WithBot.one_le_iff_zero_lt", "Nat.a_id_helper", "Nat.abs_cast", "Nat.abs_ofNat", "Nat.addSubmonoid_closure_one", "Nat.addUnits_eq_zero", "Nat.add_assoc", "Nat.add_choose", "Nat.add_choose_eq", "Nat.add_choose_mul_factorial_mul_factorial", "Nat.add_comm", "Nat.add_def", "Nat.add_descFactorial_eq_ascFactorial", "Nat.add_descFactorial_eq_ascFactorial'", "Nat.add_div", "Nat.add_div_eq_of_add_mod_lt", "Nat.add_div_eq_of_le_mod_add_mod", "Nat.add_div_le_add_div", "Nat.add_div_of_dvd_left", "Nat.add_div_of_dvd_right", "Nat.add_div_right", "Nat.add_eq", "Nat.add_eq_left", "Nat.add_eq_one_iff", "Nat.add_eq_right", "Nat.add_eq_three_iff", "Nat.add_eq_two_iff", "Nat.add_eq_zero", "Nat.add_factorial_le_factorial_add", "Nat.add_factorial_lt_factorial_add", "Nat.add_factorial_succ_le_factorial_add_succ", "Nat.add_factorial_succ_lt_factorial_add_succ", "Nat.add_le_add", "Nat.add_le_add_iff_right", "Nat.add_le_add_left", "Nat.add_le_add_right", "Nat.add_le_mul", "Nat.add_le_pair", "Nat.add_left_cancel", "Nat.add_left_cancel_iff", "Nat.add_left_comm", "Nat.add_lt_add_iff_left", "Nat.add_lt_add_iff_right", "Nat.add_mod", "Nat.add_modEq_left", "Nat.add_modEq_right", "Nat.add_mod_add_ite", "Nat.add_mod_add_of_le_add_mod", "Nat.add_mod_eq_add_mod_left", "Nat.add_mod_eq_add_mod_right", "Nat.add_mod_eq_ite", "Nat.add_mod_mod", "Nat.add_mod_of_add_mod_lt", "Nat.add_mod_right", "Nat.add_mul", "Nat.add_mul_div_left", "Nat.add_one", "Nat.add_one_le_ceil_iff", "Nat.add_one_le_iff", "Nat.add_one_pos", "Nat.add_one_sub_one", "Nat.add_pos_iff_pos_or_pos", "Nat.add_pred_div_lt", "Nat.add_right_cancel_iff", "Nat.add_right_comm", "Nat.add_sub_add_right", "Nat.add_sub_assoc", "Nat.add_sub_cancel", "Nat.add_sub_cancel'", "Nat.add_sub_cancel_left", "Nat.add_sub_cancel_right", "Nat.add_sub_of_le", "Nat.add_sub_one_le_mul", "Nat.add_sub_sub_cancel", "Nat.add_succ", "Nat.add_succ_lt_add", "Nat.add_succ_sub_one", "Nat.add_two_le_nth_prime", "Nat.add_zero", "Nat.and_forall_succ", "Nat.and_two_pow", "Nat.append_lt", "Nat.ascFactorial_eq_div", "Nat.ascFactorial_eq_div'", "Nat.ascFactorial_eq_factorial_mul_choose", "Nat.ascFactorial_eq_factorial_mul_choose'", "Nat.ascFactorial_le_pow_add", "Nat.ascFactorial_lt_pow_add", "Nat.ascFactorial_succ", "Nat.ascFactorial_zero", "Nat.b_id_helper", "Nat.base_pow_length_digits_le'", "Nat.beta_unbeta_coe", "Nat.binCast_eq", "Nat.binaryRec_decreasing", "Nat.binaryRec_eq", "Nat.binaryRec_eq'", "Nat.binaryRec_of_ne_zero", "Nat.binaryRec_zero", "Nat.binomial_eq", "Nat.binomial_eq_choose", "Nat.binomial_one", "Nat.binomial_spec", "Nat.binomial_succ_succ", "Nat.bit0_div_bit0", "Nat.bit0_div_two", "Nat.bit0_eq_bit0", "Nat.bit0_eq_zero", "Nat.bit0_inj", "Nat.bit0_le", "Nat.bit0_le_bit", "Nat.bit0_le_bit1_iff", "Nat.bit0_lt_bit0", "Nat.bit0_lt_bit1", "Nat.bit0_lt_bit1_iff", "Nat.bit0_mod_bit0", "Nat.bit0_mod_two", "Nat.bit0_ne_bit1", "Nat.bit0_ne_one", "Nat.bit0_val", "Nat.bit1_bits", "Nat.bit1_div_bit0", "Nat.bit1_div_two", "Nat.bit1_eq_bit1", "Nat.bit1_eq_succ_bit0", "Nat.bit1_inj", "Nat.bit1_le", "Nat.bit1_le_bit0_iff", "Nat.bit1_lt", "Nat.bit1_lt_bit0_iff", "Nat.bit1_mod_bit0", "Nat.bit1_mod_two", "Nat.bit1_ne", "Nat.bit1_ne_one", "Nat.bit1_ne_zero", "Nat.bit1_succ_eq", "Nat.bit1_val", "Nat.bitCasesOn_bit", "Nat.bitCasesOn_bit1", "Nat.bit_add", "Nat.bit_add'", "Nat.bit_cases_on_injective", "Nat.bit_decomp", "Nat.bit_eq_zero", "Nat.bit_eq_zero_iff", "Nat.bit_false", "Nat.bit_le", "Nat.bit_lt_bit0", "Nat.bit_lt_two_pow_succ_iff", "Nat.bit_mod_two", "Nat.bit_mod_two_eq_one_iff", "Nat.bit_ne_zero", "Nat.bit_ne_zero_iff", "Nat.bit_true", "Nat.bit_val", "Nat.bit_zero", "Nat.bits_append_bit", "Nat.bitwise_bit", "Nat.bitwise_bit'", "Nat.bitwise_eq_binaryRec", "Nat.bitwise_lt", "Nat.bitwise_of_ne_zero", "Nat.bitwise_swap", "Nat.bitwise_zero", "Nat.bitwise_zero_left", "Nat.bitwise_zero_right", "Nat.boddDiv2_eq", "Nat.bodd_add", "Nat.bodd_add_div2", "Nat.bodd_bit", "Nat.bodd_bit0", "Nat.bodd_bit1", "Nat.bodd_eq_bits_head", "Nat.bodd_eq_one_and_ne_zero", "Nat.bodd_mul", "Nat.bodd_succ", "Nat.bodd_zero", "Nat.bp_helper", "Nat.card_Icc", "Nat.card_Ico", "Nat.card_Iic", "Nat.card_Iio", "Nat.card_Ioc", "Nat.card_Ioo", "Nat.card_congr", "Nat.card_eq", "Nat.card_eq_card_finite_toFinset", "Nat.card_eq_card_toFinset", "Nat.card_eq_card_units_add_one", "Nat.card_eq_finsetCard", "Nat.card_eq_fintype_card", "Nat.card_eq_of_bijective", "Nat.card_eq_of_equiv_fin", "Nat.card_eq_two_iff", "Nat.card_eq_two_iff'", "Nat.card_eq_zero", "Nat.card_eq_zero_of_infinite", "Nat.card_fintypeIcc", "Nat.card_fintypeIco", "Nat.card_fintypeIic", "Nat.card_fintypeIio", "Nat.card_fintypeIoc", "Nat.card_fintypeIoo", "Nat.card_fun", "Nat.card_image_equiv", "Nat.card_image_of_injOn", "Nat.card_image_of_injective", "Nat.card_le_card_of_injective", "Nat.card_le_card_of_surjective", "Nat.card_mono", "Nat.card_multiples", "Nat.card_multiples'", "Nat.card_ne_zero", "Nat.card_of_isEmpty", "Nat.card_of_subsingleton", "Nat.card_pi", "Nat.card_pos", "Nat.card_pos_iff", "Nat.card_preimage_of_injOn", "Nat.card_prod", "Nat.card_submonoidPowers", "Nat.card_sum", "Nat.card_uIcc", "Nat.card_ulift", "Nat.card_unique", "Nat.card_units_zmod_lt_sub_one", "Nat.card_zmod", "Nat.card_zpowers", "Nat.case_strong_induction_on", "Nat.casesAuxOn_zero", "Nat.casesDiagOn_succ_zero", "Nat.casesDiagOn_zero_succ", "Nat.casesDiagOn_zero_zero", "Nat.castRingHom_nat", "Nat.cast_add", "Nat.cast_add_choose", "Nat.cast_add_one", "Nat.cast_add_one_ne_zero", "Nat.cast_add_one_pos", "Nat.cast_ascFactorial", "Nat.cast_bit1", "Nat.cast_card_eq_zero", "Nat.cast_choose", "Nat.cast_choose_eq_ascPochhammer_div", "Nat.cast_choose_two", "Nat.cast_comm", "Nat.cast_commute", "Nat.cast_descFactorial", "Nat.cast_descFactorial_two", "Nat.cast_div", "Nat.cast_div_charZero", "Nat.cast_div_div_div_cancel_right", "Nat.cast_div_le", "Nat.cast_dvd_cast", "Nat.cast_eq_one", "Nat.cast_eq_zero", "Nat.cast_factorial", "Nat.cast_finsupp_prod", "Nat.cast_finsupp_sum", "Nat.cast_id", "Nat.cast_inj", "Nat.cast_injective", "Nat.cast_inv_le_one", "Nat.cast_le", "Nat.cast_le_cast", "Nat.cast_le_one", "Nat.cast_le_pow_div_sub", "Nat.cast_le_pow_sub_div_sub", "Nat.cast_list_prod", "Nat.cast_list_sum", "Nat.cast_lt", "Nat.cast_lt_one", "Nat.cast_max", "Nat.cast_min", "Nat.cast_mul", "Nat.cast_multiset_prod", "Nat.cast_multiset_sum", "Nat.cast_natAbs", "Nat.cast_ne_one", "Nat.cast_ne_zero", "Nat.cast_nonneg", "Nat.cast_npow", "Nat.cast_ofNat", "Nat.cast_one", "Nat.cast_pos", "Nat.cast_pos'", "Nat.cast_pow", "Nat.cast_pow_eq_one", "Nat.cast_pred", "Nat.cast_prod", "Nat.cast_sub", "Nat.cast_succ", "Nat.cast_sum", "Nat.cast_tsub", "Nat.cast_two", "Nat.cast_withBot", "Nat.cast_withTop", "Nat.cast_zero", "Nat.cauchy_induction'", "Nat.cauchy_induction_mul", "Nat.cauchy_induction_two_mul", "Nat.ceilDiv_eq_add_pred_div", "Nat.ceilRoot_def", "Nat.ceilRoot_eq_zero", "Nat.ceilRoot_ne_zero", "Nat.ceilRoot_one_left", "Nat.ceilRoot_pow_self", "Nat.ceilRoot_zero_right", "Nat.ceil_add_le", "Nat.ceil_add_nat", "Nat.ceil_add_ofNat", "Nat.ceil_add_one", "Nat.ceil_congr", "Nat.ceil_eq_iff", "Nat.ceil_eq_zero", "Nat.ceil_int", "Nat.ceil_intCast", "Nat.ceil_le_ceil", "Nat.ceil_le_floor_add_one", "Nat.ceil_mono", "Nat.ceil_natCast", "Nat.ceil_one", "Nat.ceil_pos", "Nat.ceil_zero", "Nat.centralBinom_eq_two_mul_choose", "Nat.centralBinom_ne_zero", "Nat.centralBinom_zero", "Nat.chineseRemainder'_lt_lcm", "Nat.chineseRemainderOfList_lt_prod", "Nat.chineseRemainderOfList_modEq_unique", "Nat.chineseRemainderOfList_nil", "Nat.chineseRemainderOfList_perm", "Nat.chineseRemainderOfMultiset_lt_prod", "Nat.chineseRemainder_lt_mul", "Nat.chineseRemainder_modEq_unique", "Nat.choose_eq_asc_factorial_div_factorial", "Nat.choose_eq_asc_factorial_div_factorial'", "Nat.choose_eq_descFactorial_div_factorial", "Nat.choose_eq_factorial_div_factorial", "Nat.choose_eq_fast_choose", "Nat.choose_eq_zero_of_lt", "Nat.choose_le_add", "Nat.choose_le_centralBinom", "Nat.choose_le_middle", "Nat.choose_le_pow", "Nat.choose_le_succ", "Nat.choose_le_succ_of_lt_half_left", "Nat.choose_middle_le_pow", "Nat.choose_mul", "Nat.choose_mul_factorial_mul_factorial", "Nat.choose_mul_succ_eq", "Nat.choose_one_right", "Nat.choose_pos", "Nat.choose_self", "Nat.choose_succ_right_eq", "Nat.choose_succ_self_right", "Nat.choose_succ_succ", "Nat.choose_symm", "Nat.choose_symm_half", "Nat.choose_symm_of_eq_add", "Nat.choose_two_right", "Nat.choose_zero_succ", "Nat.clog_anti_left", "Nat.clog_eq_one", "Nat.clog_mono_right", "Nat.clog_of_left_le_one", "Nat.clog_of_right_le_one", "Nat.clog_of_two_le", "Nat.clog_one_left", "Nat.clog_one_right", "Nat.clog_pos", "Nat.clog_zero_right", "Nat.closedBall_eq_Icc", "Nat.closedEmbedding_coe_rat", "Nat.cocompact_eq", "Nat.coe_castAddMonoidHom", "Nat.coe_castRingHom", "Nat.coe_int_ofDigits", "Nat.coe_ofDigits", "Nat.cofinite_eq_atTop", "Nat.commute_cast", "Nat.cond_decide_mod_two", "Nat.cons_self_properDivisors", "Nat.coprime_add_mul_left_left", "Nat.coprime_add_mul_left_right", "Nat.coprime_add_mul_right_left", "Nat.coprime_add_mul_right_right", "Nat.coprime_add_self_left", "Nat.coprime_add_self_right", "Nat.coprime_div_gcd_div_gcd", "Nat.coprime_div_gcd_of_squarefree", "Nat.coprime_factorizationLCMLeft_factorizationLCMRight", "Nat.coprime_factors_disjoint", "Nat.coprime_fintype_prod_left_iff", "Nat.coprime_fintype_prod_right_iff", "Nat.coprime_iff_gcd_eq_one", "Nat.coprime_iff_isRelPrime", "Nat.coprime_list_prod_right_iff", "Nat.coprime_mul_iff_left", "Nat.coprime_mul_iff_right", "Nat.coprime_mul_left_add_left", "Nat.coprime_mul_left_add_right", "Nat.coprime_mul_right_add_left", "Nat.coprime_mul_right_add_right", "Nat.coprime_mul_succ", "Nat.coprime_multiset_prod_left_iff", "Nat.coprime_of_dvd", "Nat.coprime_of_dvd'", "Nat.coprime_of_fermatPsp", "Nat.coprime_of_mul_modEq_one", "Nat.coprime_of_probablePrime", "Nat.coprime_one_left", "Nat.coprime_one_left_iff", "Nat.coprime_one_right", "Nat.coprime_one_right_eq_true", "Nat.coprime_one_right_iff", "Nat.coprime_or_dvd_of_prime", "Nat.coprime_ord_compl", "Nat.coprime_pow_left_iff", "Nat.coprime_prod_left_iff", "Nat.coprime_prod_right_iff", "Nat.coprime_self", "Nat.coprime_self_add_left", "Nat.coprime_self_add_right", "Nat.coprime_self_sub_left", "Nat.coprime_self_sub_right", "Nat.coprime_sub_mul_floor_rat_div_of_coprime", "Nat.coprime_sub_self_left", "Nat.coprime_sub_self_right", "Nat.coprime_two_left", "Nat.coprime_zero_left", "Nat.coprime_zero_right", "Nat.coprimes_lt", "Nat.count_add", "Nat.count_add'", "Nat.count_eq_card_filter_range", "Nat.count_eq_card_fintype", "Nat.count_injective", "Nat.count_le_card", "Nat.count_le_cardinal", "Nat.count_le_iff_le_nth", "Nat.count_lt_card", "Nat.count_lt_count_succ_iff", "Nat.count_modEq_card", "Nat.count_modEq_card_eq_ceil", "Nat.count_mono_left", "Nat.count_monotone", "Nat.count_nth", "Nat.count_nth_of_infinite", "Nat.count_nth_of_lt_card_finite", "Nat.count_nth_succ", "Nat.count_nth_zero", "Nat.count_of_forall", "Nat.count_of_forall_not", "Nat.count_one", "Nat.count_strict_mono", "Nat.count_succ", "Nat.count_succ_eq_count_iff", "Nat.count_succ_eq_succ_count_iff", "Nat.count_true", "Nat.count_zero", "Nat.covBy_iff_succ_eq", "Nat.decreasingInduction_self", "Nat.decreasingInduction_succ", "Nat.decreasingInduction_succ_left", "Nat.decreasingInduction_trans", "Nat.decreasing_induction_of_not_bddAbove", "Nat.default_eq_zero", "Nat.descFactorial_eq_div", "Nat.descFactorial_eq_factorial_mul_choose", "Nat.descFactorial_eq_prod_range", "Nat.descFactorial_eq_zero_iff_lt", "Nat.descFactorial_le_pow", "Nat.descFactorial_lt_pow", "Nat.descFactorial_one", "Nat.descFactorial_self", "Nat.descFactorial_succ", "Nat.descFactorial_zero", "Nat.det_vandermonde_id_eq_superFactorial", "Nat.diag_induction", "Nat.digit_sum_le", "Nat.digits.injective", "Nat.digitsAux_def", "Nat.digits_add", "Nat.digits_add_two_add_one", "Nat.digits_append_digits", "Nat.digits_eq_cons_digits_div", "Nat.digits_eq_nil_iff_eq_zero", "Nat.digits_inj_iff", "Nat.digits_len", "Nat.digits_len_le_digits_len_succ", "Nat.digits_lt_base'", "Nat.digits_ne_nil_iff_ne_zero", "Nat.digits_ofDigits", "Nat.digits_of_lt", "Nat.digits_of_two_le_of_pos", "Nat.digits_one", "Nat.digits_two_eq_bits", "Nat.digits_zero", "Nat.digits_zero_of_eq_zero", "Nat.digits_zero_succ", "Nat.digits_zero_succ'", "Nat.digits_zero_zero", "Nat.disjoint_divisors_filter_isPrimePow", "Nat.disjoint_primeFactors", "Nat.dist.triangle_inequality", "Nat.dist_add_add_left", "Nat.dist_add_add_right", "Nat.dist_cast_rat", "Nat.dist_coe_int", "Nat.dist_comm", "Nat.dist_eq", "Nat.dist_eq_intro", "Nat.dist_eq_sub_of_le", "Nat.dist_eq_sub_of_le_right", "Nat.dist_mul_left", "Nat.dist_mul_right", "Nat.dist_pos_of_ne", "Nat.dist_self", "Nat.dist_succ_succ", "Nat.dist_tri_left", "Nat.dist_tri_left'", "Nat.dist_tri_right", "Nat.dist_tri_right'", "Nat.dist_zero_right", "Nat.div2_bit", "Nat.div2_bit0", "Nat.div2_bits_eq_tail", "Nat.div2_one", "Nat.div2_succ", "Nat.div2_val", "Nat.div2_zero", "Nat.div_add_mod", "Nat.div_add_mod'", "Nat.div_div_div_eq_div", "Nat.div_div_eq_div_mul", "Nat.div_div_self", "Nat.div_dvd_iff_dvd_mul", "Nat.div_dvd_of_dvd", "Nat.div_eq_iff_eq_of_dvd_dvd", "Nat.div_eq_of_lt", "Nat.div_eq_self", "Nat.div_eq_sub_mod_div", "Nat.div_eq_zero_iff", "Nat.div_le_div", "Nat.div_le_div_left", "Nat.div_le_iff_le_mul_add_pred", "Nat.div_le_of_le_mul'", "Nat.div_le_self'", "Nat.div_left_inj", "Nat.div_lt_div_of_lt_of_dvd", "Nat.div_lt_iff_lt_mul", "Nat.div_lt_self'", "Nat.div_mod_eq_mod_mul_div", "Nat.div_mod_unique", "Nat.div_mul_cancel", "Nat.div_mul_div_comm", "Nat.div_mul_div_le", "Nat.div_mul_div_le_div", "Nat.div_ne_zero_iff", "Nat.div_ne_zero_iff_of_dvd", "Nat.div_pos", "Nat.div_pos_iff", "Nat.div_pow", "Nat.div_self", "Nat.div_zero", "Nat.divisor_le", "Nat.divisorsAntidiagonal_one", "Nat.divisors_filter_dvd_of_dvd", "Nat.divisors_filter_squarefree", "Nat.divisors_filter_squarefree_of_squarefree", "Nat.divisors_inj", "Nat.divisors_injective", "Nat.divisors_mul", "Nat.divisors_one", "Nat.divisors_prime_pow", "Nat.divisors_subset_of_dvd", "Nat.divisors_subset_properDivisors", "Nat.doubleFactorial_add_one", "Nat.doubleFactorial_add_two", "Nat.doubleFactorial_eq_prod_even", "Nat.doubleFactorial_eq_prod_odd", "Nat.doubleFactorial_le_factorial", "Nat.doubleFactorial_pos", "Nat.doubleFactorial_two_mul", "Nat.dvd_add_iff_right", "Nat.dvd_add_right", "Nat.dvd_add_self_left", "Nat.dvd_add_self_right", "Nat.dvd_ceilRoot_pow", "Nat.dvd_div_iff_mul_dvd", "Nat.dvd_div_of_mul_dvd", "Nat.dvd_factorial", "Nat.dvd_gcd", "Nat.dvd_gcd_iff", "Nat.dvd_gcd_mul_iff_dvd_mul", "Nat.dvd_iff_div_factorization_eq_tsub", "Nat.dvd_iff_dvd_digits_sum", "Nat.dvd_iff_dvd_dvd", "Nat.dvd_iff_dvd_ofDigits", "Nat.dvd_iff_le_div_mul", "Nat.dvd_iff_mod_eq_zero", "Nat.dvd_iff_prime_pow_dvd_dvd", "Nat.dvd_lcm_left", "Nat.dvd_left_injective", "Nat.dvd_mul", "Nat.dvd_mul_gcd_iff_dvd_mul", "Nat.dvd_mul_left", "Nat.dvd_mul_of_div_dvd", "Nat.dvd_ofDigits_sub_ofDigits", "Nat.dvd_of_factors_subperm", "Nat.dvd_of_forall_prime_mul_dvd", "Nat.dvd_of_mem_divisors", "Nat.dvd_of_mem_factors", "Nat.dvd_of_mem_primeFactors", "Nat.dvd_of_mod_eq_zero", "Nat.dvd_one", "Nat.dvd_ord_compl_of_dvd_not_dvd", "Nat.dvd_pow_iff_ceilRoot_dvd", "Nat.dvd_prime", "Nat.dvd_prime_pow", "Nat.dvd_prime_two_le", "Nat.dvd_sub'", "Nat.dvd_sub_mod", "Nat.dvd_trans", "Nat.dvd_two_of_totient_le_one", "Nat.eleven_dvd_iff", "Nat.eleven_dvd_of_palindrome", "Nat.eq_Ici_of_nonempty_of_upward_closed", "Nat.eq_add_of_sub_eq", "Nat.eq_div_of_mul_eq_left", "Nat.eq_div_of_mul_eq_right", "Nat.eq_factorization_iff", "Nat.eq_iff_prime_padicValNat_eq", "Nat.eq_mul_of_div_eq_left", "Nat.eq_of_dist_eq_zero", "Nat.eq_of_dvd_of_div_eq_one", "Nat.eq_of_dvd_of_lt_two_mul", "Nat.eq_of_factorization_eq", "Nat.eq_of_le_of_lt_succ", "Nat.eq_of_perm_factors", "Nat.eq_of_testBit_eq", "Nat.eq_one_of_dvd_coprimes", "Nat.eq_one_of_dvd_one", "Nat.eq_one_of_mul_eq_one_left", "Nat.eq_one_of_mul_eq_one_right", "Nat.eq_or_coprime_of_le_prime", "Nat.eq_pow_of_factorization_eq_single", "Nat.eq_prime_pow_of_dvd_least_prime_pow", "Nat.eq_prime_pow_of_unique_prime_dvd", "Nat.eq_prod_primes_mul_sq_of_mem_smoothNumbers", "Nat.eq_properDivisors_of_subset_of_sum_eq_sum", "Nat.eq_sq_add_sq_iff", "Nat.eq_sq_add_sq_iff_eq_sq_mul", "Nat.eq_sq_add_sq_of_isSquare_mod_neg_one", "Nat.eq_sqrt", "Nat.eq_sqrt'", "Nat.eq_two_pow_or_exists_odd_prime_and_dvd", "Nat.eq_zero_of_dvd_of_div_eq_zero", "Nat.eq_zero_of_dvd_of_lt", "Nat.eq_zero_of_gcd_eq_zero_left", "Nat.eq_zero_of_gcd_eq_zero_right", "Nat.eq_zero_of_le_div", "Nat.eq_zero_of_le_half", "Nat.eq_zero_of_le_zero", "Nat.eq_zero_of_mul_eq_zero", "Nat.eq_zero_of_mul_le", "Nat.eq_zero_of_not_pos", "Nat.eq_zero_or_pos", "Nat.equivProdNatFactoredNumbers_apply'", "Nat.equivProdNatSmoothNumbers_apply", "Nat.equivProdNatSmoothNumbers_apply'", "Nat.euler_four_squares", "Nat.evenOddRec_even", "Nat.evenOddRec_odd", "Nat.evenOddRec_zero", "Nat.even_add", "Nat.even_add'", "Nat.even_add_one", "Nat.even_div", "Nat.even_iff", "Nat.even_iff_not_odd", "Nat.even_mul", "Nat.even_mul_succ_self", "Nat.even_or_odd", "Nat.even_or_odd'", "Nat.even_pow", "Nat.even_pow'", "Nat.even_sub", "Nat.even_sub'", "Nat.even_xor_odd", "Nat.even_xor_odd'", "Nat.eventually_pos", "Nat.exists_coprime", "Nat.exists_coprime'", "Nat.exists_dvd_of_not_prime2", "Nat.exists_eq_add_of_le", "Nat.exists_eq_add_of_lt", "Nat.exists_eq_succ_of_ne_zero", "Nat.exists_eq_two_pow_mul_odd", "Nat.exists_factorization_lt_of_lt", "Nat.exists_infinite_primes", "Nat.exists_infinite_pseudoprimes", "Nat.exists_lt_card_finite_nth_eq", "Nat.exists_lt_card_nth_eq", "Nat.exists_lt_succ", "Nat.exists_most_significant_bit", "Nat.exists_mul_emod_eq_gcd", "Nat.exists_mul_pow_lt_factorial", "Nat.exists_mul_self", "Nat.exists_mul_self'", "Nat.exists_not_and_succ_of_not_zero_of_exists", "Nat.exists_pow_lt_factorial", "Nat.exists_prime_and_dvd", "Nat.exists_prime_gt_modEq_one", "Nat.exists_prime_lt_and_le_two_mul", "Nat.exists_prime_lt_and_le_two_mul_eventually", "Nat.exists_prime_lt_and_le_two_mul_succ", "Nat.exists_prime_mul_pow_lt_factorial", "Nat.exists_strictAnti'", "Nat.exists_strictMono", "Nat.exists_strictMono'", "Nat.exists_subseq_of_forall_mem_union", "Nat.factoredNumbers.map_prime_pow_mul", "Nat.factoredNumbers_compl", "Nat.factoredNumbers_empty", "Nat.factoredNumbers_insert", "Nat.factoredNumbers_mono", "Nat.factorial_dvd_ascFactorial", "Nat.factorial_dvd_descFactorial", "Nat.factorial_dvd_factorial", "Nat.factorial_eq_mul_doubleFactorial", "Nat.factorial_eq_one", "Nat.factorial_inj", "Nat.factorial_inj'", "Nat.factorial_le", "Nat.factorial_lt", "Nat.factorial_mul_ascFactorial", "Nat.factorial_mul_ascFactorial'", "Nat.factorial_mul_descFactorial", "Nat.factorial_mul_factorial_dvd_factorial", "Nat.factorial_mul_factorial_dvd_factorial_add", "Nat.factorial_mul_pow_le_factorial", "Nat.factorial_mul_pow_sub_le_factorial", "Nat.factorial_ne_zero", "Nat.factorial_one", "Nat.factorial_pos", "Nat.factorial_succ", "Nat.factorial_two", "Nat.factorial_two_mul_le", "Nat.factorial_zero", "Nat.factorizationEquiv_apply", "Nat.factorizationEquiv_inv_apply", "Nat.factorizationLCMLeft_dvd_left", "Nat.factorizationLCMLeft_mul_factorizationLCMRight", "Nat.factorizationLCMLeft_pos", "Nat.factorizationLCMLeft_zero_left", "Nat.factorizationLCMLeft_zero_right", "Nat.factorizationLCMRight_dvd_right", "Nat.factorizationLCMRight_pos", "Nat.factorizationLCMRight_zero_right", "Nat.factorizationLCRight_zero_left", "Nat.factorization_ceilRoot", "Nat.factorization_centralBinom_of_two_mul_self_lt_three_mul", "Nat.factorization_choose_eq_zero_of_lt", "Nat.factorization_choose_le_log", "Nat.factorization_choose_le_one", "Nat.factorization_choose_of_lt_three_mul", "Nat.factorization_def", "Nat.factorization_div", "Nat.factorization_eq_card_pow_dvd", "Nat.factorization_eq_factors_multiset", "Nat.factorization_eq_of_coprime_left", "Nat.factorization_eq_of_coprime_right", "Nat.factorization_eq_one_of_squarefree", "Nat.factorization_eq_zero_iff", "Nat.factorization_eq_zero_iff'", "Nat.factorization_eq_zero_iff_remainder", "Nat.factorization_eq_zero_of_non_prime", "Nat.factorization_eq_zero_of_remainder", "Nat.factorization_factorial_eq_zero_of_lt", "Nat.factorization_floorRoot", "Nat.factorization_gcd", "Nat.factorization_inj", "Nat.factorization_lcm", "Nat.factorization_le_factorization_mul_left", "Nat.factorization_le_iff_dvd", "Nat.factorization_le_of_le_pow", "Nat.factorization_lt", "Nat.factorization_mul", "Nat.factorization_mul_apply_of_coprime", "Nat.factorization_mul_of_coprime", "Nat.factorization_one", "Nat.factorization_one_right", "Nat.factorization_ord_compl", "Nat.factorization_pow", "Nat.factorization_prime_le_iff_dvd", "Nat.factorization_prod", "Nat.factorization_prod_pow_eq_self", "Nat.factorization_zero", "Nat.factorization_zero_right", "Nat.factors_add_two", "Nat.factors_chain", "Nat.factors_chain'", "Nat.factors_count_eq", "Nat.factors_eq", "Nat.factors_eq_nil", "Nat.factors_lemma", "Nat.factors_multiset_prod_of_irreducible", "Nat.factors_one", "Nat.factors_prime", "Nat.factors_sublist_of_dvd", "Nat.factors_sublist_right", "Nat.factors_subset_of_dvd", "Nat.factors_subset_right", "Nat.factors_two", "Nat.factors_unique", "Nat.factors_zero", "Nat.fast_fib_aux_bit_ff", "Nat.fast_fib_aux_bit_tt", "Nat.fast_fib_aux_eq", "Nat.fermatPsp_base_one", "Nat.fib_add", "Nat.fib_add_one", "Nat.fib_add_two", "Nat.fib_add_two_strictMono", "Nat.fib_add_two_sub_fib_add_one", "Nat.fib_bit0", "Nat.fib_bit0_succ", "Nat.fib_bit1", "Nat.fib_bit1_succ", "Nat.fib_coprime_fib_succ", "Nat.fib_dvd", "Nat.fib_eq_zero", "Nat.fib_gcd", "Nat.fib_le_fib_succ", "Nat.fib_lt_fib_succ", "Nat.fib_pos", "Nat.fib_strictMonoOn", "Nat.fib_succ_eq_succ_sum", "Nat.fib_succ_eq_sum_choose", "Nat.fib_two", "Nat.fib_two_mul", "Nat.fib_two_mul_add_one", "Nat.fib_two_mul_add_two", "Nat.filter_Ico_card_eq_of_periodic", "Nat.filter_coprime_Ico_eq_totient", "Nat.filter_dvd_eq_divisors", "Nat.filter_dvd_eq_properDivisors", "Nat.filter_multiset_Ico_card_eq_of_periodic", "Nat.filter_range_nth_eq_insert", "Nat.filter_range_nth_eq_insert_of_infinite", "Nat.filter_range_nth_subset_insert", "Nat.findGreatest_eq", "Nat.findGreatest_eq_iff", "Nat.findGreatest_eq_zero_iff", "Nat.findGreatest_is_greatest", "Nat.findGreatest_le", "Nat.findGreatest_mono", "Nat.findGreatest_mono_left", "Nat.findGreatest_mono_right", "Nat.findGreatest_of_ne_zero", "Nat.findGreatest_of_not", "Nat.findGreatest_pos", "Nat.findGreatest_spec", "Nat.findGreatest_succ", "Nat.findGreatest_zero", "Nat.find_add", "Nat.find_comp_succ", "Nat.find_eq_iff", "Nat.find_eq_zero", "Nat.find_le", "Nat.find_le_iff", "Nat.find_lt_iff", "Nat.find_min", "Nat.find_min'", "Nat.find_mono", "Nat.find_spec", "Nat.finite_of_card_ne_zero", "Nat.floorDiv_eq_div", "Nat.floorRoot_def", "Nat.floorRoot_eq_zero", "Nat.floorRoot_ne_zero", "Nat.floorRoot_one_right", "Nat.floorRoot_pow_dvd", "Nat.floorRoot_pow_self", "Nat.floorRoot_zero_left", "Nat.floor_add_nat", "Nat.floor_add_one", "Nat.floor_congr", "Nat.floor_div_eq_div", "Nat.floor_div_nat", "Nat.floor_eq_iff", "Nat.floor_eq_iff'", "Nat.floor_eq_zero", "Nat.floor_int", "Nat.floor_le", "Nat.floor_le_ceil", "Nat.floor_le_floor", "Nat.floor_lt", "Nat.floor_lt'", "Nat.floor_lt_ceil_of_lt_of_pos", "Nat.floor_lt_one", "Nat.floor_mono", "Nat.floor_nat", "Nat.floor_natCast", "Nat.floor_of_nonpos", "Nat.floor_one", "Nat.floor_pos", "Nat.floor_sub_nat", "Nat.floor_sub_ofNat", "Nat.forall_lt_succ", "Nat.forall_ne_zero_iff", "Nat.four_dvd_or_exists_odd_prime_and_dvd_of_two_lt", "Nat.four_pow_le_two_mul_self_mul_centralBinom", "Nat.four_pow_lt_mul_centralBinom", "Nat.frequently_atTop_iff_infinite", "Nat.frequently_atTop_modEq_one", "Nat.frequently_even", "Nat.frequently_modEq", "Nat.frequently_mod_eq", "Nat.galoisConnection_mul_div", "Nat.gcd.induction", "Nat.gcdA_zero_left", "Nat.gcdA_zero_right", "Nat.gcdB_zero_left", "Nat.gcdB_zero_right", "Nat.gcd_add_mul_left_left", "Nat.gcd_add_mul_left_right", "Nat.gcd_add_mul_right_left", "Nat.gcd_add_mul_right_right", "Nat.gcd_add_self_left", "Nat.gcd_assoc", "Nat.gcd_div", "Nat.gcd_dvd_left", "Nat.gcd_dvd_right", "Nat.gcd_eq_gcd_ab", "Nat.gcd_fib_add_mul_self", "Nat.gcd_fib_add_self", "Nat.gcd_mul_gcd_of_coprime_of_mul_eq_mul", "Nat.gcd_mul_left", "Nat.gcd_mul_left_add_left", "Nat.gcd_mul_left_add_right", "Nat.gcd_mul_of_coprime_of_dvd", "Nat.gcd_mul_right", "Nat.gcd_mul_right_add_left", "Nat.gcd_mul_right_add_right", "Nat.gcd_ne_zero_left", "Nat.gcd_ne_zero_right", "Nat.gcd_one_right", "Nat.gcd_pos_of_pos_left", "Nat.gcd_rec", "Nat.gcd_self_add_left", "Nat.gcd_self_add_right", "Nat.gcd_self_sub_left", "Nat.gcd_self_sub_right", "Nat.gcd_sub_self_left", "Nat.gcd_sub_self_right", "Nat.gcd_zero_left", "Nat.ge_of_not_lt", "Nat.geomSum_eq", "Nat.geom_sum_Ico_le", "Nat.geom_sum_le", "Nat.getLast_digit_ne_zero", "Nat.grahamConjecture_of_squarefree", "Nat.greatestFib_eq_zero", "Nat.greatestFib_lt", "Nat.greatestFib_ne_zero", "Nat.greatestFib_pos", "Nat.greatestFib_sub_fib_greatestFib_le_greatestFib", "Nat.half_le_of_sub_le_half", "Nat.head!_digits", "Nat.hyperfilter_le_atTop", "Nat.iInf_const_zero", "Nat.iInf_le_succ", "Nat.iInf_le_succ'", "Nat.iInf_lt_succ", "Nat.iInf_lt_succ'", "Nat.iInf_of_empty", "Nat.iSup_le_succ", "Nat.iSup_le_succ'", "Nat.iSup_lt_succ", "Nat.iSup_lt_succ'", "Nat.image_Ico_mod", "Nat.image_cast_int_Icc", "Nat.image_cast_int_Ici", "Nat.image_cast_int_Ico", "Nat.image_cast_int_Iic", "Nat.image_cast_int_Iio", "Nat.image_cast_int_Ioc", "Nat.image_cast_int_Ioi", "Nat.image_cast_int_Ioo", "Nat.image_div_divisors_eq_divisors", "Nat.image_fst_divisorsAntidiagonal", "Nat.image_nth_Iio_card", "Nat.image_snd_divisorsAntidiagonal", "Nat.image_sub_const_Ico", "Nat.infinite_setOf_prime", "Nat.infinite_setOf_prime_modEq_one", "Nat.insert_self_properDivisors", "Nat.inv_pos_of_nat", "Nat.irreducible_iff_prime", "Nat.isCompl_even_odd", "Nat.isCoprime_iff_coprime", "Nat.isLeast_nth", "Nat.isLeast_nth_of_infinite", "Nat.isLeast_nth_of_lt_card", "Nat.isUnit_iff", "Nat.isZeckendorfRep_zeckendorf", "Nat.iter_fp_bound", "Nat.land_assoc", "Nat.land_comm", "Nat.lcm_dvd_iff", "Nat.lcm_dvd_mul", "Nat.lcm_mul_left", "Nat.lcm_mul_right", "Nat.lcm_ne_zero", "Nat.lcm_pos", "Nat.ldiff_bit", "Nat.le.dest", "Nat.leRecOn_injective", "Nat.leRecOn_self", "Nat.leRecOn_succ", "Nat.leRecOn_succ'", "Nat.leRecOn_succ_left", "Nat.leRecOn_surjective", "Nat.leRecOn_trans", "Nat.le_add_left", "Nat.le_add_one_iff", "Nat.le_add_pred_of_pos", "Nat.le_add_right", "Nat.le_and_le_add_one_iff", "Nat.le_antisymm", "Nat.le_ceil", "Nat.le_div_iff_mul_le", "Nat.le_div_iff_mul_le'", "Nat.le_div_two_iff_mul_two_le", "Nat.le_fib_add_one", "Nat.le_fib_self", "Nat.le_findGreatest", "Nat.le_find_iff", "Nat.le_floor", "Nat.le_floor_iff", "Nat.le_floor_iff'", "Nat.le_greatestFib", "Nat.le_half_of_half_lt_sub", "Nat.le_iff_lt_or_eq", "Nat.le_iff_ne_zero_of_dvd", "Nat.le_induction", "Nat.le_log_of_pow_le", "Nat.le_minFac", "Nat.le_mod_add_mod_of_dvd_add_of_not_dvd", "Nat.le_mul_of_pos_right", "Nat.le_mul_self", "Nat.le_nth", "Nat.le_nth_count", "Nat.le_nth_of_count_le", "Nat.le_nth_of_lt_nth_succ", "Nat.le_of_ceil_le", "Nat.le_of_dvd", "Nat.le_of_eq", "Nat.le_of_lt", "Nat.le_of_lt_add_of_dvd", "Nat.le_of_lt_succ", "Nat.le_of_mem_factors", "Nat.le_of_mul_le_mul_left", "Nat.le_of_mul_le_mul_right", "Nat.le_of_pred_lt", "Nat.le_of_succ_le_succ", "Nat.le_one_iff_eq_zero_or_eq_one", "Nat.le_or_le_of_add_eq_add_pred", "Nat.le_pow_clog", "Nat.le_pow_iff_clog_le", "Nat.le_refl", "Nat.le_self_pow", "Nat.le_sqrt", "Nat.le_sub_of_add_le", "Nat.le_sub_one_of_lt", "Nat.le_succ", "Nat.le_succ_iff", "Nat.le_succ_of_le", "Nat.le_three_of_sqrt_eq_one", "Nat.le_total", "Nat.le_trans", "Nat.le_zero", "Nat.left_le_pair", "Nat.left_ne_zero_of_mem_divisorsAntidiagonal", "Nat.log_anti_left", "Nat.log_div_base", "Nat.log_div_mul_self", "Nat.log_eq_iff", "Nat.log_eq_of_pow_le_of_lt_pow", "Nat.log_eq_one_iff'", "Nat.log_eq_zero_iff", "Nat.log_le_clog", "Nat.log_lt_of_lt_pow", "Nat.log_monotone", "Nat.log_mul_base", "Nat.log_ne_padicValNat_succ", "Nat.log_of_left_le_one", "Nat.log_of_lt", "Nat.log_of_one_lt_of_le", "Nat.log_one_right", "Nat.log_pos_iff", "Nat.log_pow", "Nat.log_zero_right", "Nat.lor_assoc", "Nat.lor_bit", "Nat.lor_comm", "Nat.lt.base", "Nat.lt_add_of_pos_right", "Nat.lt_add_of_zero_lt_left", "Nat.lt_add_right", "Nat.lt_base_pow_length_digits", "Nat.lt_base_pow_length_digits'", "Nat.lt_ceil", "Nat.lt_div_iff_mul_lt", "Nat.lt_div_mul_add", "Nat.lt_factorial_self", "Nat.lt_find_iff", "Nat.lt_floor_add_one", "Nat.lt_iff_add_one_le", "Nat.lt_iff_le_and_ne", "Nat.lt_iff_le_pred", "Nat.lt_mul_div_succ", "Nat.lt_mul_iff_one_lt_left", "Nat.lt_mul_iff_one_lt_right", "Nat.lt_mul_of_div_lt", "Nat.lt_mul_self_iff", "Nat.lt_of_ceil_lt", "Nat.lt_of_count_lt_count", "Nat.lt_of_div_lt_div", "Nat.lt_of_floor_lt", "Nat.lt_of_le_of_lt", "Nat.lt_of_lt_floor", "Nat.lt_of_lt_pred", "Nat.lt_of_mul_lt_mul_left", "Nat.lt_of_nth_lt_nth_of_lt_card", "Nat.lt_of_pow_dvd_right", "Nat.lt_of_succ_lt", "Nat.lt_of_succ_lt_succ", "Nat.lt_of_testBit", "Nat.lt_one_add_iff", "Nat.lt_one_iff", "Nat.lt_pow_iff_log_lt", "Nat.lt_pow_self", "Nat.lt_size", "Nat.lt_size_self", "Nat.lt_sub_iff_add_lt'", "Nat.lt_succ", "Nat.lt_succ_floor", "Nat.lt_succ_iff", "Nat.lt_succ_iff_lt_or_eq", "Nat.lt_succ_of_lt", "Nat.lt_succ_self", "Nat.lt_succ_sqrt", "Nat.lt_succ_sqrt'", "Nat.lt_trans", "Nat.lt_two_pow", "Nat.map_ceil", "Nat.map_div_left_divisors", "Nat.map_div_right_divisors", "Nat.map_floor", "Nat.map_swap_divisorsAntidiagonal", "Nat.matrixOf_eval_descPochhammer_eq_mul_matrixOf_choose", "Nat.maxPowDiv.base_mul_eq_succ", "Nat.maxPowDiv.base_pow_mul", "Nat.maxPowDiv.go_succ", "Nat.maxPowDiv.le_of_dvd", "Nat.maxPowDiv.pow_dvd", "Nat.maxPowDiv.zero_base", "Nat.max_eq_zero_iff", "Nat.max_log_padicValNat_succ_eq_log_succ", "Nat.max_sq_add_min_le_pair", "Nat.measurable_ceil", "Nat.measurable_floor", "Nat.mem_divisors", "Nat.mem_divisorsAntidiagonal", "Nat.mem_divisors_prime_pow", "Nat.mem_divisors_self", "Nat.mem_factoredNumbers", "Nat.mem_factoredNumbers'", "Nat.mem_factoredNumbers_iff_forall_le", "Nat.mem_factoredNumbers_iff_primeFactors_subset", "Nat.mem_factoredNumbers_of_dvd", "Nat.mem_factoredNumbers_of_primeFactors_subset", "Nat.mem_factors", "Nat.mem_factors'", "Nat.mem_factors_iff_dvd", "Nat.mem_factors_mul", "Nat.mem_factors_mul_left", "Nat.mem_factors_mul_of_coprime", "Nat.mem_factors_mul_right", "Nat.mem_primeFactors", "Nat.mem_primeFactors_iff_mem_factors", "Nat.mem_primeFactors_of_ne_zero", "Nat.mem_primesBelow", "Nat.mem_properDivisors", "Nat.mem_properDivisors_iff_exists", "Nat.mem_properDivisors_prime_pow", "Nat.mem_range_succ", "Nat.mem_rfind", "Nat.mem_smoothNumbers", "Nat.mem_smoothNumbers'", "Nat.mem_smoothNumbersUpTo", "Nat.mem_smoothNumbers_iff_forall_le", "Nat.mem_smoothNumbers_iff_primeFactors_subset", "Nat.minFacAux_has_prop", "Nat.minFac_dvd", "Nat.minFac_eq", "Nat.minFac_eq_one_iff", "Nat.minFac_eq_two_iff", "Nat.minFac_has_prop", "Nat.minFac_le", "Nat.minFac_le_div", "Nat.minFac_le_of_dvd", "Nat.minFac_lemma", "Nat.minFac_one", "Nat.minFac_pos", "Nat.minFac_prime", "Nat.minFac_zero", "Nat.minSqFacAux_has_prop", "Nat.minSqFacProp_div", "Nat.minSqFac_dvd", "Nat.minSqFac_has_prop", "Nat.minSqFac_le_of_dvd", "Nat.min_eq_left", "Nat.min_eq_right", "Nat.min_eq_zero_iff", "Nat.modEq_and_modEq_iff_modEq_mul", "Nat.modEq_digits_sum", "Nat.modEq_eleven_digits_sum", "Nat.modEq_iff_dvd", "Nat.modEq_iff_dvd'", "Nat.modEq_list_prod_iff", "Nat.modEq_list_prod_iff'", "Nat.modEq_nine_digits_sum", "Nat.modEq_one", "Nat.modEq_sub", "Nat.modEq_three_digits_sum", "Nat.modEq_zero_iff", "Nat.modEq_zero_iff_dvd", "Nat.mod_add_div", "Nat.mod_add_div'", "Nat.mod_add_mod", "Nat.mod_eq_iff_lt", "Nat.mod_eq_of_lt", "Nat.mod_injOn_Ico", "Nat.mod_lcm", "Nat.mod_le", "Nat.mod_lt", "Nat.mod_modEq", "Nat.mod_mod_of_dvd", "Nat.mod_mul_mod", "Nat.mod_self", "Nat.mod_two_add_add_odd_mod_two", "Nat.mod_two_eq_zero_or_one", "Nat.mod_two_ne_one", "Nat.mod_two_ne_zero", "Nat.mod_two_of_bodd", "Nat.mod_zero", "Nat.mono_cast", "Nat.monotone_primeCounting", "Nat.mul_add", "Nat.mul_add_mod'", "Nat.mul_add_mod_of_lt", "Nat.mul_assoc", "Nat.mul_comm", "Nat.mul_def", "Nat.mul_div_assoc", "Nat.mul_div_cancel", "Nat.mul_div_cancel'", "Nat.mul_div_cancel_left", "Nat.mul_div_cancel_left'", "Nat.mul_div_eq_iff_dvd", "Nat.mul_div_le", "Nat.mul_div_le_mul_div_assoc", "Nat.mul_div_left", "Nat.mul_div_lt_iff_not_dvd", "Nat.mul_div_mul_comm", "Nat.mul_divisors_filter_prime_pow", "Nat.mul_dvd_mul_iff_left", "Nat.mul_dvd_mul_iff_right", "Nat.mul_dvd_of_dvd_div", "Nat.mul_eq_left", "Nat.mul_eq_right", "Nat.mul_le_mul_left", "Nat.mul_le_mul_right", "Nat.mul_le_of_le_div", "Nat.mul_left_cancel", "Nat.mul_left_comm", "Nat.mul_left_eq_self_iff", "Nat.mul_left_inj", "Nat.mul_lt_mul_pow_succ", "Nat.mul_mem_factoredNumbers", "Nat.mul_mem_smoothNumbers", "Nat.mul_mod_mod", "Nat.mul_mod_right", "Nat.mul_ne_mul_left", "Nat.mul_ne_zero", "Nat.mul_ofDigits", "Nat.mul_one", "Nat.mul_right_comm", "Nat.mul_right_inj", "Nat.mul_self_inj", "Nat.mul_self_le_mul_self", "Nat.mul_self_le_mul_self_iff", "Nat.mul_self_lt_mul_self_iff", "Nat.mul_sub_left_distrib", "Nat.mul_succ", "Nat.mul_two", "Nat.multichoose_eq", "Nat.multichoose_one", "Nat.multichoose_one_right", "Nat.multichoose_succ_succ", "Nat.multichoose_two", "Nat.multichoose_zero_right", "Nat.multichoose_zero_succ", "Nat.multinomial_congr", "Nat.multinomial_cons", "Nat.multinomial_empty", "Nat.multinomial_insert", "Nat.multinomial_insert_one", "Nat.multinomial_pos", "Nat.multinomial_spec", "Nat.multinomial_univ_three", "Nat.multinomial_univ_two", "Nat.multiplicative_factorization", "Nat.multiplicative_factorization'", "Nat.multiplicity_eq_card_pow_dvd", "Nat.multiplicity_eq_factorization", "Nat.multiplicity_two_factorial_lt", "Nat.multiset_Ico_map_mod", "Nat.nat_repr_len_aux", "Nat.ne_of_beq_eq_false", "Nat.ne_of_gt", "Nat.ne_of_lt", "Nat.ne_of_odd_add", "Nat.ne_one_iff_exists_prime_dvd", "Nat.ne_zero_of_mem_divisorsAntidiagonal", "Nat.ne_zero_of_mem_smoothNumbers", "Nat.noZeroSMulDivisors", "Nat.nonempty_divisors", "Nat.nonempty_of_pos_sInf", "Nat.nonempty_of_sInf_eq_succ", "Nat.nonempty_primeFactors", "Nat.nonempty_properDivisors", "Nat.norm_cast_le", "Nat.not_coprime_of_dvd_of_dvd", "Nat.not_coprime_zero_zero", "Nat.not_dvd_iff_between_consec_multiples", "Nat.not_dvd_of_pos_of_lt", "Nat.not_dvd_ord_compl", "Nat.not_eq_zero_of_lt", "Nat.not_even_bit1", "Nat.not_even_iff", "Nat.not_even_one", "Nat.not_exists_sq", "Nat.not_isWellOrderLimitElement", "Nat.not_le", "Nat.not_le_of_gt", "Nat.not_lt", "Nat.not_lt_zero", "Nat.not_mem_of_lt_sInf", "Nat.not_odd_iff", "Nat.not_ofNat_le_one", "Nat.not_ofNat_lt_one", "Nat.not_pos_pow_dvd", "Nat.not_prime_iff_exists_dvd_ne", "Nat.not_prime_mul", "Nat.not_prime_mul'", "Nat.not_prime_of_dvd_of_lt", "Nat.not_prime_one", "Nat.not_prime_zero", "Nat.not_succ_le_zero", "Nat.not_two_dvd_bit1", "Nat.nsmul_eq_mul", "Nat.nth_apply_eq_orderIsoOfNat", "Nat.nth_count", "Nat.nth_count_eq_sInf", "Nat.nth_eq_getD_sort", "Nat.nth_eq_orderEmbOfFin", "Nat.nth_eq_orderIsoOfNat", "Nat.nth_eq_sInf", "Nat.nth_eq_zero", "Nat.nth_eq_zero_mono", "Nat.nth_false", "Nat.nth_injOn", "Nat.nth_le_nth", "Nat.nth_le_nth'", "Nat.nth_lt_nth", "Nat.nth_lt_nth_of_lt_card", "Nat.nth_lt_of_lt_count", "Nat.nth_mem", "Nat.nth_mem_of_lt_card", "Nat.nth_monotone", "Nat.nth_of_card_le", "Nat.nth_of_forall", "Nat.nth_of_forall_not", "Nat.nth_strictMono", "Nat.nth_strictMonoOn", "Nat.nth_true", "Nat.nth_zero", "Nat.nth_zero_of_exists", "Nat.odd_add", "Nat.odd_add'", "Nat.odd_iff", "Nat.odd_iff_not_even", "Nat.odd_mod_four_iff", "Nat.odd_mul", "Nat.odd_mul_odd", "Nat.odd_mul_odd_div_two", "Nat.odd_of_mod_four_eq_one", "Nat.odd_of_mod_four_eq_three", "Nat.odd_sub", "Nat.odd_sub'", "Nat.ofAdd_mul", "Nat.ofDigits_add_ofDigits_eq_ofDigits_zipWith_of_length_eq", "Nat.ofDigits_append", "Nat.ofDigits_cons", "Nat.ofDigits_digits", "Nat.ofDigits_digits_append_digits", "Nat.ofDigits_div_eq_ofDigits_tail", "Nat.ofDigits_div_pow_eq_ofDigits_drop", "Nat.ofDigits_eq_foldr", "Nat.ofDigits_eq_sum_mapIdx", "Nat.ofDigits_eq_sum_map_with_index_aux", "Nat.ofDigits_lt_base_pow_length'", "Nat.ofDigits_mod", "Nat.ofDigits_modEq", "Nat.ofDigits_modEq'", "Nat.ofDigits_mod_eq_head!", "Nat.ofDigits_monotone", "Nat.ofDigits_neg_one", "Nat.ofDigits_nil", "Nat.ofDigits_one", "Nat.ofDigits_one_cons", "Nat.ofDigits_singleton", "Nat.ofDigits_zmod", "Nat.ofDigits_zmodeq'", "Nat.ofNat_le", "Nat.ofNat_le_cast", "Nat.ofNat_lt_cast", "Nat.ofNat_nonneg", "Nat.ofNat_pos", "Nat.ofNat_pos'", "Nat.one_add_le_iff", "Nat.one_ascFactorial", "Nat.one_div_le_one_div", "Nat.one_div_pos_of_nat", "Nat.one_eq_bit1", "Nat.one_eq_succ_zero", "Nat.one_le_bit1", "Nat.one_le_cast", "Nat.one_le_ceil_iff", "Nat.one_le_div_iff", "Nat.one_le_floor_iff", "Nat.one_le_iff_ne_zero", "Nat.one_le_ofNat", "Nat.one_le_of_lt", "Nat.one_le_pow", "Nat.one_le_pow'", "Nat.one_lt_bit0", "Nat.one_lt_bit1", "Nat.one_lt_cast", "Nat.one_lt_div_of_mem_properDivisors", "Nat.one_lt_factorial", "Nat.one_lt_iff_ne_zero_and_ne_one", "Nat.one_lt_mul_iff", "Nat.one_lt_ofNat", "Nat.one_lt_of_mem_properDivisors", "Nat.one_lt_pow", "Nat.one_lt_pow_iff", "Nat.one_lt_succ_succ", "Nat.one_mem_properDivisors_iff_one_lt", "Nat.one_mod", "Nat.one_mod_of_ne_one", "Nat.one_mul", "Nat.one_ne_bit0", "Nat.one_ne_zero", "Nat.one_shiftLeft", "Nat.or_exists_succ", "Nat.ord_compl_dvd", "Nat.ord_compl_dvd_ord_compl_iff_dvd", "Nat.ord_compl_dvd_ord_compl_of_dvd", "Nat.ord_compl_le", "Nat.ord_compl_mul", "Nat.ord_compl_of_not_prime", "Nat.ord_compl_pos", "Nat.ord_proj_dvd", "Nat.ord_proj_dvd_ord_proj_iff_dvd", "Nat.ord_proj_dvd_ord_proj_of_dvd", "Nat.ord_proj_le", "Nat.ord_proj_mul", "Nat.ord_proj_mul_ord_compl_eq_self", "Nat.ord_proj_of_not_prime", "Nat.ord_proj_pos", "Nat.orderEmbeddingOfSet_apply", "Nat.pair_lt_max_add_one_sq", "Nat.pair_lt_pair_left", "Nat.pair_lt_pair_right", "Nat.pair_unpair", "Nat.pair_unpair'", "Nat.pairwise_coprime_coprimes", "Nat.pairwise_one_le_dist", "Nat.perfect_iff_sum_divisors_eq_two_mul", "Nat.periodic_coprime", "Nat.periodic_gcd", "Nat.periodic_mod", "Nat.perm_factors_mul", "Nat.perm_factors_mul_of_coprime", "Nat.pos_iff_ne_zero", "Nat.pos_of_bit0_pos", "Nat.pos_of_floor_pos", "Nat.pos_of_mem_divisors", "Nat.pos_of_mem_factors", "Nat.pos_of_neZero", "Nat.pos_of_ne_zero", "Nat.pow_dvd_iff_dvd_floorRoot", "Nat.pow_dvd_pow_iff", "Nat.pow_dvd_pow_iff_le_right", "Nat.pow_eq_zero", "Nat.pow_factorization_choose_le", "Nat.pow_imp_self_of_one_lt", "Nat.pow_le_choose", "Nat.pow_le_iff_le_log", "Nat.pow_le_of_le_log", "Nat.pow_le_pow_of_le_left", "Nat.pow_left_injective", "Nat.pow_left_strictMono", "Nat.pow_length_le_mul_ofDigits", "Nat.pow_log_le_self", "Nat.pow_lt_ascFactorial", "Nat.pow_lt_ascFactorial'", "Nat.pow_lt_pow_left", "Nat.pow_minFac", "Nat.pow_mul_mem_factoredNumbers", "Nat.pow_mul_mem_smoothNumbers", "Nat.pow_pos", "Nat.pow_pred_clog_lt_self", "Nat.pow_right_injective", "Nat.pow_sub_le_descFactorial", "Nat.pow_sub_lt_descFactorial", "Nat.pow_sub_lt_descFactorial'", "Nat.pow_succ", "Nat.pow_succ'", "Nat.pow_succ_factorization_not_dvd", "Nat.pow_succ_le_ascFactorial", "Nat.ppred_eq_some", "Nat.ppred_zero", "Nat.pred_add_self", "Nat.pred_eq_of_eq_succ", "Nat.pred_eq_ppred", "Nat.pred_eq_pred", "Nat.pred_eq_self_iff", "Nat.pred_eq_sub_one", "Nat.pred_iterate", "Nat.pred_le", "Nat.pred_le_iff", "Nat.pred_lt", "Nat.pred_mul_geom_sum_le", "Nat.pred_one_add", "Nat.pred_sub", "Nat.pred_succ", "Nat.preimage_Icc", "Nat.preimage_Ici", "Nat.preimage_Ico", "Nat.preimage_Iic", "Nat.preimage_Ioc", "Nat.preimage_Ioo", "Nat.preimage_ball", "Nat.preimage_ceil_of_ne_zero", "Nat.preimage_closedBall", "Nat.preimage_floor_of_ne_zero", "Nat.preimage_floor_zero", "Nat.primeCounting'_add_le", "Nat.primeFactors_div_gcd", "Nat.primeFactors_eq_empty", "Nat.primeFactors_gcd", "Nat.primeFactors_mono", "Nat.primeFactors_mul", "Nat.primeFactors_one", "Nat.primeFactors_pow", "Nat.primeFactors_pow_succ", "Nat.primeFactors_prime_pow", "Nat.primeFactors_prod", "Nat.primeFactors_subset_of_mem_factoredNumbers", "Nat.primeFactors_subset_of_mem_smoothNumbers", "Nat.primeFactors_zero", "Nat.prime_def_le_sqrt", "Nat.prime_def_lt", "Nat.prime_def_lt'", "Nat.prime_def_lt''", "Nat.prime_def_minFac", "Nat.prime_divisors_eq_to_filter_divisors_prime", "Nat.prime_divisors_filter_dvd_of_dvd", "Nat.prime_dvd_prime_iff_eq", "Nat.prime_iff", "Nat.prime_iff_card_units", "Nat.prime_iff_fac_equiv_neg_one", "Nat.prime_iff_prime_int", "Nat.prime_mul_iff", "Nat.prime_of_coprime", "Nat.prime_of_fac_equiv_neg_one", "Nat.prime_of_mem_factors", "Nat.prime_of_mem_primeFactors", "Nat.prime_of_mem_primesBelow", "Nat.prime_three", "Nat.prime_two", "Nat.primesBelow_card_eq_primeCounting'", "Nat.primesBelow_succ", "Nat.primesBelow_zero", "Nat.probablePrime_iff_modEq", "Nat.prod_Icc_factorial", "Nat.prod_div_divisors", "Nat.prod_divisorsAntidiagonal'", "Nat.prod_divisors_prime_pow", "Nat.prod_factorial_dvd_factorial_sum", "Nat.prod_factorization_eq_prod_primeFactors", "Nat.prod_factors", "Nat.prod_mem_factoredNumbers", "Nat.prod_mem_smoothNumbers", "Nat.prod_pow_factorization_centralBinom", "Nat.prod_pow_factorization_choose", "Nat.prod_pow_factorization_eq_self", "Nat.prod_pow_pos_of_zero_not_mem_support", "Nat.prod_pow_prime_padicValNat", "Nat.prod_primeFactors_dvd", "Nat.prod_primeFactors_gcd_mul_prod_primeFactors_mul", "Nat.prod_primeFactors_invOn_squarefree", "Nat.prod_primeFactors_of_squarefree", "Nat.prod_primeFactors_sdiff_of_squarefree", "Nat.prod_properDivisors_prime_pow", "Nat.prod_range_factorial_succ", "Nat.prod_range_succ_factorial", "Nat.properDivisors_eq_empty", "Nat.properDivisors_eq_singleton_one_iff_prime", "Nat.properDivisors_one", "Nat.properDivisors_prime_pow", "Nat.properDivisors_subset_divisors", "Nat.psp_from_prime_gt_p", "Nat.psp_from_prime_psp", "Nat.psub'_eq_psub", "Nat.psub_add", "Nat.psub_eq_none", "Nat.psub_eq_some", "Nat.psub_succ", "Nat.psub_zero", "Nat.range_casesOn", "Nat.range_eq_Icc_zero_sub_one", "Nat.range_mul_add", "Nat.range_nth_of_infinite", "Nat.range_nth_subset", "Nat.range_of_succ", "Nat.range_rec", "Nat.range_succ", "Nat.recAuxOn_succ", "Nat.recAuxOn_zero", "Nat.recAux_succ", "Nat.recDiagAux_zero_right", "Nat.recDiagOn_succ_succ", "Nat.recDiagOn_succ_zero", "Nat.recDiagOn_zero_succ", "Nat.recDiagOn_zero_zero", "Nat.recDiag_succ_succ", "Nat.recDiag_succ_zero", "Nat.recDiag_zero_succ", "Nat.rec_zero", "Nat.rel_of_forall_rel_succ_of_le_of_lt", "Nat.replicate_subperm_factors_iff", "Nat.repr_length", "Nat.rfindOpt_dom", "Nat.rfindOpt_mono", "Nat.rfindOpt_spec", "Nat.rfind_dom", "Nat.rfind_min'", "Nat.rfind_spec", "Nat.right_le_pair", "Nat.right_ne_zero_of_mem_divisorsAntidiagonal", "Nat.roughNumbersUpTo_card_le", "Nat.roughNumbersUpTo_card_le'", "Nat.roughNumbersUpTo_eq_biUnion", "Nat.sInf_add", "Nat.sInf_add'", "Nat.sInf_empty", "Nat.sInf_eq_zero", "Nat.sInf_le", "Nat.sInf_mem", "Nat.sInf_upward_closed_eq_succ_iff", "Nat.sSup_def", "Nat.sSup_mem", "Nat.self_add_sub_one", "Nat.self_div_pow_eq_ofDigits_drop", "Nat.self_le_factorial", "Nat.setOf_pow_dvd_eq_Icc_factorization", "Nat.set_eq_univ", "Nat.set_induction", "Nat.set_induction_bounded", "Nat.shiftLeft'_false", "Nat.shiftLeft'_ne_zero_left", "Nat.shiftLeft'_sub", "Nat.shiftLeft'_tt_eq_mul_pow", "Nat.shiftLeft_eq", "Nat.shiftLeft_eq'", "Nat.shiftLeft_eq_mul_pow", "Nat.shiftLeft_sub", "Nat.shiftRight_add", "Nat.size_bit", "Nat.size_bit0", "Nat.size_bit1", "Nat.size_eq_bits_len", "Nat.size_eq_zero", "Nat.size_le", "Nat.size_le_size", "Nat.size_pos", "Nat.size_pow", "Nat.size_shiftLeft", "Nat.size_shiftLeft'", "Nat.size_zero", "Nat.smmoothNumbers_eq_factoredNumbers_primesBelow", "Nat.smoothNumbersUpTo_card_add_roughNumbersUpTo_card", "Nat.smoothNumbersUpTo_card_le", "Nat.smoothNumbersUpTo_subset_image", "Nat.smoothNumbers_compl", "Nat.smoothNumbers_eq_factoredNumbers", "Nat.smoothNumbers_mono", "Nat.smoothNumbers_one", "Nat.smoothNumbers_succ", "Nat.smoothNumbers_zero", "Nat.smul_one_eq_cast", "Nat.snd_mem_divisors_of_mem_antidiagonal", "Nat.sq_add_sq_modEq", "Nat.sq_add_sq_mul", "Nat.sq_add_sq_zmodEq", "Nat.sq_mul_squarefree", "Nat.sq_mul_squarefree_of_pos", "Nat.sq_mul_squarefree_of_pos'", "Nat.sq_sub_sq", "Nat.sqrt.iter_sq_le", "Nat.sqrt.lt_iter_succ_sq", "Nat.sqrt_add_eq", "Nat.sqrt_eq", "Nat.sqrt_eq_zero", "Nat.sqrt_isSqrt", "Nat.sqrt_le", "Nat.sqrt_le'", "Nat.sqrt_le_add", "Nat.sqrt_le_sqrt", "Nat.sqrt_lt", "Nat.sqrt_lt'", "Nat.sqrt_lt_self", "Nat.sqrt_mul_sqrt_lt_succ", "Nat.sqrt_mul_sqrt_lt_succ'", "Nat.sqrt_one", "Nat.sqrt_pos", "Nat.sqrt_succ_le_succ_sqrt", "Nat.sqrt_zero", "Nat.squarefree_and_prime_pow_iff_prime", "Nat.squarefree_iff_factorization_le_one", "Nat.squarefree_iff_minSqFac", "Nat.squarefree_iff_nodup_factors", "Nat.squarefree_iff_prime_squarefree", "Nat.squarefree_mul", "Nat.squarefree_mul_iff", "Nat.squarefree_of_factorization_le_one", "Nat.squarefree_pow_iff", "Nat.squarefree_two", "Nat.strongRecOn_eq", "Nat.strong_decreasing_induction", "Nat.strong_induction_on", "Nat.sub_add_cancel", "Nat.sub_add_comm", "Nat.sub_add_min_cancel", "Nat.sub_add_sub_cancel", "Nat.sub_eq_iff_eq_add", "Nat.sub_eq_of_eq_add'", "Nat.sub_eq_zero_of_le", "Nat.sub_le", "Nat.sub_le_iff_le_add", "Nat.sub_le_iff_le_add'", "Nat.sub_le_sub_right", "Nat.sub_lt", "Nat.sub_lt_iff_lt_add", "Nat.sub_lt_iff_lt_add'", "Nat.sub_lt_sub_iff_right", "Nat.sub_lt_sub_left", "Nat.sub_mod_eq_zero_of_mod_eq", "Nat.sub_ne_zero_of_lt", "Nat.sub_one", "Nat.sub_one_add_self", "Nat.sub_one_mul_sum_div_pow_eq_sub_sum_digits", "Nat.sub_one_mul_sum_log_div_pow_eq_sub_sum_digits", "Nat.sub_pos_of_lt", "Nat.sub_self", "Nat.sub_sub", "Nat.sub_sub_self", "Nat.sub_succ", "Nat.sub_succ'", "Nat.sub_zero", "Nat.succ.inj", "Nat.succ.injEq", "Nat.succPNat_coe", "Nat.succPNat_inj", "Nat.succPNat_injective", "Nat.succPNat_le_succPNat", "Nat.succPNat_lt_succPNat", "Nat.succPNat_mono", "Nat.succ_add", "Nat.succ_add_eq_add_succ", "Nat.succ_add_sub_one", "Nat.succ_ascFactorial", "Nat.succ_descFactorial", "Nat.succ_descFactorial_succ", "Nat.succ_div", "Nat.succ_div_of_dvd", "Nat.succ_div_of_not_dvd", "Nat.succ_dvd_centralBinom", "Nat.succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul", "Nat.succ_eq_add_one", "Nat.succ_eq_succ", "Nat.succ_injective", "Nat.succ_iterate", "Nat.succ_le", "Nat.succ_le_iff", "Nat.succ_le_of_lt", "Nat.succ_le_succ", "Nat.succ_le_succ_iff", "Nat.succ_lt_succ_iff", "Nat.succ_mod_two_add_mod_two", "Nat.succ_mod_two_eq_one_iff", "Nat.succ_mod_two_eq_zero_iff", "Nat.succ_mul", "Nat.succ_mul_binomial", "Nat.succ_mul_centralBinom_succ", "Nat.succ_mul_choose_eq", "Nat.succ_mul_pos", "Nat.succ_ne_self", "Nat.succ_ne_zero", "Nat.succ_pos", "Nat.succ_pred_eq_of_pos", "Nat.succ_sub", "Nat.succ_sub_succ", "Nat.succ_sub_succ_eq_sub", "Nat.sum_Icc_choose", "Nat.sum_append", "Nat.sum_cons", "Nat.sum_div", "Nat.sum_divisors_eq_sum_properDivisors_add_self", "Nat.sum_divisors_filter_squarefree", "Nat.sum_four_squares", "Nat.sum_four_squares_of_two_mul_sum_four_squares", "Nat.sum_le_ofDigits", "Nat.sum_properDivisors_dvd", "Nat.sum_properDivisors_eq_one_iff_prime", "Nat.sum_range_choose", "Nat.sum_range_choose_halfway", "Nat.sum_totient", "Nat.sum_totient'", "Nat.sum_zeckendorf_fib", "Nat.sup_divisors_id", "Nat.superFactorial_dvd_vandermonde_det", "Nat.superFactorial_four_mul", "Nat.superFactorial_one", "Nat.superFactorial_succ", "Nat.superFactorial_two_mul", "Nat.support_factorization", "Nat.surjective_unpair", "Nat.swap_mem_divisorsAntidiagonal", "Nat.swap_mem_divisorsAntidiagonal_aux", "Nat.tendsto_div_const_atTop", "Nat.tendsto_pow_atTop_atTop_of_one_lt", "Nat.testBit_bit_succ", "Nat.testBit_bit_zero", "Nat.testBit_eq_false_of_lt", "Nat.testBit_eq_inth", "Nat.testBit_ldiff", "Nat.testBit_lor", "Nat.testBit_two_pow_of_ne", "Nat.testBit_two_pow_self", "Nat.three_dvd_iff", "Nat.toAdd_pow", "Nat.toDigitsCore_length", "Nat.toDigitsCore_lens_eq", "Nat.toDigitsCore_lens_eq_aux", "Nat.toFinset_factors", "Nat.toPNat'_coe", "Nat.totient_div_of_dvd", "Nat.totient_dvd_of_dvd", "Nat.totient_eq_card_coprime", "Nat.totient_eq_card_lt_and_coprime", "Nat.totient_eq_div_primeFactors_mul", "Nat.totient_eq_iff_prime", "Nat.totient_eq_mul_prod_factors", "Nat.totient_eq_one_iff", "Nat.totient_eq_prod_factorization", "Nat.totient_eq_zero", "Nat.totient_even", "Nat.totient_gcd_mul_totient_mul", "Nat.totient_le", "Nat.totient_lt", "Nat.totient_mul", "Nat.totient_mul_of_prime_of_dvd", "Nat.totient_mul_of_prime_of_not_dvd", "Nat.totient_mul_prod_primeFactors", "Nat.totient_one", "Nat.totient_pos", "Nat.totient_prime", "Nat.totient_prime_pow", "Nat.totient_prime_pow_succ", "Nat.totient_super_multiplicative", "Nat.totient_two", "Nat.totient_zero", "Nat.triangle_succ", "Nat.two_dvd_centralBinom_of_one_le", "Nat.two_dvd_centralBinom_succ", "Nat.two_dvd_ne_zero", "Nat.two_le_centralBinom", "Nat.two_le_iff", "Nat.two_lt_of_ne", "Nat.two_mul", "Nat.two_mul_div_two_add_one_of_odd", "Nat.two_mul_ne_two_mul_add_one", "Nat.two_mul_odd_div_two", "Nat.two_not_dvd_two_mul_add_one", "Nat.two_not_dvd_two_mul_sub_one", "Nat.two_pow_and", "Nat.two_pow_mul_factorial_le_factorial_two_mul", "Nat.two_pow_sub_pow", "Nat.two_pow_succ", "Nat.uIcc_eq_range'", "Nat.uniformEmbedding_coe_rat", "Nat.uniformEmbedding_coe_real", "Nat.units_eq_one", "Nat.unpair_add_le", "Nat.unpair_lt", "Nat.unpair_pair", "Nat.unpair_right_le", "Nat.unpair_zero", "Nat.xgcdAux_P", "Nat.xgcdAux_fst", "Nat.xgcdAux_val", "Nat.xgcd_val", "Nat.xgcd_zero_left", "Nat.xor_assoc", "Nat.xor_bit", "Nat.xor_cancel_left", "Nat.xor_comm", "Nat.xor_eq_zero", "Nat.xor_left_inj", "Nat.xor_ne_zero", "Nat.xor_right_inj", "Nat.xor_self", "Nat.xor_trichotomy", "Nat.xor_zero", "Nat.zeckendorf_aux", "Nat.zeckendorf_of_pos", "Nat.zeckendorf_succ", "Nat.zeckendorf_sum_fib", "Nat.zeckendorf_zero", "Nat.zero_add", "Nat.zero_ascFactorial", "Nat.zero_bits", "Nat.zero_descFactorial_succ", "Nat.zero_eq", "Nat.zero_eq_mul", "Nat.zero_le", "Nat.zero_lt_of_lt", "Nat.zero_lt_one", "Nat.zero_lt_one_add", "Nat.zero_lt_succ", "Nat.zero_lt_two", "Nat.zero_mod", "Nat.zero_mul", "Nat.zero_ne_bit0", "Nat.zero_ne_bit1", "Nat.zero_of_testBit_eq_false", "Nat.zero_xor", "Nat.zmodeq_ofDigits_digits", "Nat.zpow_pos_of_pos", "NatOrdinal.induction", "NatOrdinal.lt_wf", "NatOrdinal.mul_le_nmul", "NatOrdinal.succ_def", "NatOrdinal.toOrdinal_eq_one", "NatOrdinal.toOrdinal_max", "NatOrdinal.toOrdinal_min", "NatOrdinal.toOrdinal_one", "NatOrdinal.toOrdinal_symm_eq", "NatOrdinal.toOrdinal_toNatOrdinal", "NatOrdinal.toOrdinal_zero", "Ne.bot_lt", "Ne.bot_lt'", "Ne.dite_eq_left_iff", "Ne.dite_eq_right_iff", "Ne.dite_ne_right_iff", "Ne.inf_lt_or_inf_lt", "Ne.ite_eq_left_iff", "Ne.ite_ne_left_iff", "Ne.ite_ne_right_iff", "Ne.lt_of_le", "Ne.lt_of_le'", "Ne.lt_sup_or_lt_sup", "Ne.lt_top", "Ne.ne_or_ne", "Ne.nhdsWithin_compl_singleton", "Ne.nhdsWithin_diff_singleton", "Ne.symm", "NeZero.nat_of_injective", "NeZero.nat_of_neZero", "NeZero.ne", "NeZero.ne'", "NeZero.not_char_dvd", "NeZero.of_map", "NeZero.of_neZero_natCast", "NeZero.of_noZeroSMulDivisors", "NeZero.of_not_dvd", "NeZero.of_pos", "NeZero.one_le", "NeZero.pos_of_neZero_natCast", "NoBotOrder.to_noMinOrder", "NoMaxOrder.infinite", "NoMaxOrder.not_acc", "NoMaxOrder.upperBounds_univ", "NoMinOrder.lowerBounds_univ", "NoMinOrder.not_acc", "NoTopOrder.to_noMaxOrder", "NoZeroDivisors.to_isDomain", "NoZeroSMulDivisors.algebraMap_injective", "NoZeroSMulDivisors.iff_algebraMap_injective", "NoZeroSMulDivisors.int_of_charZero", "NoZeroSMulDivisors.isReduced", "NoZeroSMulDivisors.of_algebraMap_injective", "NoZeroSMulDivisors.trans", "NonAssocRing.ext", "NonAssocRing.toNonUnitalNonAssocring_injective", "NonAssocSemiring.ext", "NonAssocSemiring.ext_iff", "NonUnitalAlgHom.coe_codRestrict", "NonUnitalAlgHom.coe_coe", "NonUnitalAlgHom.coe_comp", "NonUnitalAlgHom.coe_id", "NonUnitalAlgHom.coe_inl", "NonUnitalAlgHom.coe_inr", "NonUnitalAlgHom.coe_inverse", "NonUnitalAlgHom.coe_inverse'", "NonUnitalAlgHom.coe_mk", "NonUnitalAlgHom.coe_mulHom_mk", "NonUnitalAlgHom.coe_prod", "NonUnitalAlgHom.coe_range", "NonUnitalAlgHom.coe_restrictScalars", "NonUnitalAlgHom.coe_restrictScalars'", "NonUnitalAlgHom.coe_zero", "NonUnitalAlgHom.comp_apply", "NonUnitalAlgHom.congr_fun", "NonUnitalAlgHom.ext", "NonUnitalAlgHom.ext_iff", "NonUnitalAlgHom.inl_apply", "NonUnitalAlgHom.map_adjoin", "NonUnitalAlgHom.map_adjoin_singleton", "NonUnitalAlgHom.map_mul", "NonUnitalAlgHom.map_smul", "NonUnitalAlgHom.map_zero", "NonUnitalAlgHom.mk_coe", "NonUnitalAlgHom.one_apply", "NonUnitalAlgHom.range_comp", "NonUnitalAlgHom.range_comp_le_range", "NonUnitalAlgHom.restrictScalars_apply", "NonUnitalAlgHom.snd_prod", "NonUnitalAlgHom.subtype_comp_codRestrict", "NonUnitalAlgHom.toDistribMulActionHom_eq_coe", "NonUnitalAlgHom.toFun_eq_coe", "NonUnitalAlgHom.to_distribMulActionHom_injective", "NonUnitalAlgHom.to_mulHom_injective", "NonUnitalAlgHom.zero_apply", "NonUnitalAlgebra.adjoin_eq", "NonUnitalAlgebra.adjoin_eq_span", "NonUnitalAlgebra.adjoin_induction", "NonUnitalAlgebra.adjoin_induction_subtype", "NonUnitalAlgebra.adjoin_induction\u2082", "NonUnitalAlgebra.adjoin_le_algebra_adjoin", "NonUnitalAlgebra.adjoin_le_iff", "NonUnitalAlgebra.adjoin_union", "NonUnitalAlgebra.adjoin_univ", "NonUnitalAlgebra.coe_bot", "NonUnitalAlgebra.coe_iInf", "NonUnitalAlgebra.coe_inf", "NonUnitalAlgebra.coe_top", "NonUnitalAlgebra.comap_top", "NonUnitalAlgebra.eq_top_iff", "NonUnitalAlgebra.gc", "NonUnitalAlgebra.iInf_toSubmodule", "NonUnitalAlgebra.inf_toNonUnitalSubsemiring", "NonUnitalAlgebra.inf_toSubmodule", "NonUnitalAlgebra.map_bot", "NonUnitalAlgebra.map_sup", "NonUnitalAlgebra.map_top", "NonUnitalAlgebra.mem_bot", "NonUnitalAlgebra.mem_iInf", "NonUnitalAlgebra.mem_sInf", "NonUnitalAlgebra.mem_sup_left", "NonUnitalAlgebra.mem_sup_right", "NonUnitalAlgebra.mem_top", "NonUnitalAlgebra.mul_mem_sup", "NonUnitalAlgebra.range_id", "NonUnitalAlgebra.range_top_iff_surjective", "NonUnitalAlgebra.sInf_toNonUnitalSubsemiring", "NonUnitalAlgebra.sInf_toSubmodule", "NonUnitalAlgebra.self_mem_adjoin_singleton", "NonUnitalAlgebra.span_eq_toSubmodule", "NonUnitalAlgebra.subset_adjoin", "NonUnitalAlgebra.toNonUnitalSubsemiring_eq_top", "NonUnitalAlgebra.toSubmodule_bot", "NonUnitalAlgebra.toSubmodule_eq_top", "NonUnitalAlgebra.to_subring_eq_top", "NonUnitalAlgebra.top_toNonUnitalSubsemiring", "NonUnitalAlgebra.top_toSubring", "NonUnitalCommRing.ext_iff", "NonUnitalCommRing.toNonUnitalRing_injective", "NonUnitalCommSemiring.ext", "NonUnitalNonAssocCommRing.ext", "NonUnitalNonAssocCommRing.ext_iff", "NonUnitalNonAssocCommSemiring.ext", "NonUnitalNonAssocCommSemiring.mem_center_iff", "NonUnitalNonAssocRing.ext", "NonUnitalNonAssocRing.ext_iff", "NonUnitalNonAssocSemiring.ext", "NonUnitalNonAssocSemiring.ext_iff", "NonUnitalNonAssocSemiring.mem_center_iff", "NonUnitalRing.ext", "NonUnitalRing.ext_iff", "NonUnitalRing.toNonUnitalSemiring_injective", "NonUnitalRingHom.cancel_left", "NonUnitalRingHom.cancel_right", "NonUnitalRingHom.closure_preimage_le", "NonUnitalRingHom.coe_addMonoidHom_id", "NonUnitalRingHom.coe_addMonoidHom_mk", "NonUnitalRingHom.coe_comp_addMonoidHom", "NonUnitalRingHom.coe_copy", "NonUnitalRingHom.coe_mulHom_injective", "NonUnitalRingHom.coe_one", "NonUnitalRingHom.coe_prodMap", "NonUnitalRingHom.coe_range", "NonUnitalRingHom.coe_rangeRestrict", "NonUnitalRingHom.coe_snd", "NonUnitalRingHom.coe_toMulHom", "NonUnitalRingHom.comp_apply", "NonUnitalRingHom.comp_assoc", "NonUnitalRingHom.comp_id", "NonUnitalRingHom.copy_eq", "NonUnitalRingHom.eqLocus_same", "NonUnitalRingHom.eqOn_sclosure", "NonUnitalRingHom.eq_of_eqOn_set_top", "NonUnitalRingHom.eq_of_eqOn_stop", "NonUnitalRingHom.ext", "NonUnitalRingHom.ext_iff", "NonUnitalRingHom.fst_comp_prod", "NonUnitalRingHom.id_comp", "NonUnitalRingHom.map_le_map_of_map_star", "NonUnitalRingHom.map_range", "NonUnitalRingHom.map_sclosure", "NonUnitalRingHom.map_srange", "NonUnitalRingHom.mem_srange", "NonUnitalRingHom.mem_srange_self", "NonUnitalRingHom.mk_coe", "NonUnitalRingHom.mul_def", "NonUnitalRingHom.one_def", "NonUnitalRingHom.prodMap_def", "NonUnitalRingHom.prod_apply", "NonUnitalRingHom.prod_comp_prodMap", "NonUnitalRingHom.prod_unique", "NonUnitalRingHom.rangeRestrict_surjective", "NonUnitalRingHom.range_top_iff_surjective", "NonUnitalRingHom.range_top_of_surjective", "NonUnitalRingHom.snd_comp_prod", "NonUnitalRingHom.srangeRestrict_surjective", "NonUnitalRingHom.srange_eq_map", "NonUnitalRingHom.srange_top_of_surjective", "NonUnitalRingHom.zero_apply", "NonUnitalRingHom.zero_comp", "NonUnitalSemiring.ext", "NonUnitalSemiring.ext_iff", "NonUnitalSemiring.toNonUnitalNonAssocSemiring_injective", "NonUnitalStarAlgHom.coe_codRestrict", "NonUnitalStarAlgHom.coe_coe", "NonUnitalStarAlgHom.coe_copy", "NonUnitalStarAlgHom.coe_id", "NonUnitalStarAlgHom.coe_inl", "NonUnitalStarAlgHom.coe_inr", "NonUnitalStarAlgHom.coe_mk", "NonUnitalStarAlgHom.coe_one", "NonUnitalStarAlgHom.coe_range", "NonUnitalStarAlgHom.coe_restrictScalars", "NonUnitalStarAlgHom.coe_restrictScalars'", "NonUnitalStarAlgHom.coe_toNonUnitalAlgHom", "NonUnitalStarAlgHom.coe_zero", "NonUnitalStarAlgHom.comp_apply", "NonUnitalStarAlgHom.comp_assoc", "NonUnitalStarAlgHom.comp_id", "NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal", "NonUnitalStarAlgHom.copy_eq", "NonUnitalStarAlgHom.ext", "NonUnitalStarAlgHom.injective_codRestrict", "NonUnitalStarAlgHom.inl_apply", "NonUnitalStarAlgHom.inr_apply", "NonUnitalStarAlgHom.map_adjoin_singleton", "NonUnitalStarAlgHom.mem_equalizer", "NonUnitalStarAlgHom.mem_range_self", "NonUnitalStarAlgHom.one_apply", "NonUnitalStarAlgHom.prod_fst_snd", "NonUnitalStarAlgHom.range_comp", "NonUnitalStarAlgHom.range_comp_le_range", "NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_apply_comp_toReal", "NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injective", "NonUnitalStarAlgHom.restrictScalars_apply", "NonUnitalStarAlgHom.snd_prod", "NonUnitalStarAlgHom.subtype_comp_codRestrict", "NonUnitalStarAlgHom.zero_apply", "NonUnitalStarAlgebra.adjoin_eq_span", "NonUnitalStarAlgebra.adjoin_eq_starClosure_adjoin", "NonUnitalStarAlgebra.adjoin_induction'", "NonUnitalStarAlgebra.adjoin_le", "NonUnitalStarAlgebra.adjoin_le_iff", "NonUnitalStarAlgebra.adjoin_le_starAlgebra_adjoin", "NonUnitalStarAlgebra.coe_bot", "NonUnitalStarAlgebra.coe_iInf", "NonUnitalStarAlgebra.coe_inf", "NonUnitalStarAlgebra.coe_sInf", "NonUnitalStarAlgebra.coe_top", "NonUnitalStarAlgebra.gc", "NonUnitalStarAlgebra.inf_toNonUnitalSubalgebra", "NonUnitalStarAlgebra.map_bot", "NonUnitalStarAlgebra.map_sup", "NonUnitalStarAlgebra.mem_bot", "NonUnitalStarAlgebra.mem_iInf", "NonUnitalStarAlgebra.mem_inf", "NonUnitalStarAlgebra.mem_sInf", "NonUnitalStarAlgebra.mem_sup_left", "NonUnitalStarAlgebra.mem_sup_right", "NonUnitalStarAlgebra.mem_top", "NonUnitalStarAlgebra.range_top_iff_surjective", "NonUnitalStarAlgebra.sInf_toNonUnitalSubalgebra", "NonUnitalStarAlgebra.span_eq_toSubmodule", "NonUnitalStarAlgebra.star_self_mem_adjoin_singleton", "NonUnitalStarAlgebra.star_subset_adjoin", "NonUnitalStarAlgebra.toNonUnitalSubalgebra_bot", "NonUnitalStarRingHom.coe_coe", "NonUnitalStarRingHom.coe_comp", "NonUnitalStarRingHom.coe_copy", "NonUnitalStarRingHom.coe_id", "NonUnitalStarRingHom.coe_mk", "NonUnitalStarRingHom.coe_one", "NonUnitalStarRingHom.coe_zero", "NonUnitalStarRingHom.comp_assoc", "NonUnitalStarRingHom.comp_id", "NonUnitalStarRingHom.ext", "NonUnitalStarRingHom.one_apply", "NonUnitalStarRingHom.zero_apply", "NonUnitalStarSubalgebra.center_eq_top", "NonUnitalStarSubalgebra.center_toNonUnitalSubalgebra", "NonUnitalStarSubalgebra.centralizer_le", "NonUnitalStarSubalgebra.centralizer_univ", "NonUnitalStarSubalgebra.coe_add", "NonUnitalStarSubalgebra.coe_center", "NonUnitalStarSubalgebra.coe_centralizer", "NonUnitalStarSubalgebra.coe_comap", "NonUnitalStarSubalgebra.coe_eq_zero", "NonUnitalStarSubalgebra.coe_iSup_of_directed", "NonUnitalStarSubalgebra.coe_mul", "NonUnitalStarSubalgebra.coe_neg", "NonUnitalStarSubalgebra.coe_prod", "NonUnitalStarSubalgebra.coe_sub", "NonUnitalStarSubalgebra.coe_toNonUnitalSubalgebra", "NonUnitalStarSubalgebra.coe_zero", "NonUnitalStarSubalgebra.ext", "NonUnitalStarSubalgebra.gc_map_comap", "NonUnitalStarSubalgebra.iSupLift_inclusion", "NonUnitalStarSubalgebra.iSupLift_mk", "NonUnitalStarSubalgebra.iSupLift_of_mem", "NonUnitalStarSubalgebra.inclusion_inclusion", "NonUnitalStarSubalgebra.inclusion_injective", "NonUnitalStarSubalgebra.inclusion_right", "NonUnitalStarSubalgebra.map_id", "NonUnitalStarSubalgebra.map_injective", "NonUnitalStarSubalgebra.map_le", "NonUnitalStarSubalgebra.map_mono", "NonUnitalStarSubalgebra.mem_carrier", "NonUnitalStarSubalgebra.mem_centralizer_iff", "NonUnitalStarSubalgebra.mem_comap", "NonUnitalStarSubalgebra.mem_map", "NonUnitalStarSubalgebra.mem_prod", "NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebra", "NonUnitalStarSubalgebra.prod_mono", "NonUnitalStarSubalgebra.range_val", "NonUnitalStarSubalgebra.toNonUnitalSubalgebra_inj", "NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective", "NonUnitalStarSubalgebra.toNonUnitalSubalgebra_le_iff", "NonUnitalStarSubalgebra.toNonUnitalSubalgebra_subtype", "NonUnitalStarSubalgebra.toNonUnitalSubring_injective", "NonUnitalStarSubalgebra.toStarSubalgebra_toNonUnitalStarSubalgebra", "NonUnitalStarSubalgebra.unitization_apply", "NonUnitalStarSubalgebra.unitization_injective", "NonUnitalStarSubalgebra.unitization_range", "NonUnitalStarSubalgebraClass.coeSubtype", "NonUnitalSubalgebra.center_eq_top", "NonUnitalSubalgebra.center_toNonUnitalSubring", "NonUnitalSubalgebra.centralizer_le", "NonUnitalSubalgebra.coe_add", "NonUnitalSubalgebra.coe_center", "NonUnitalSubalgebra.coe_centralizer", "NonUnitalSubalgebra.coe_comap", "NonUnitalSubalgebra.coe_iSup_of_directed", "NonUnitalSubalgebra.coe_inclusion", "NonUnitalSubalgebra.coe_map", "NonUnitalSubalgebra.coe_neg", "NonUnitalSubalgebra.coe_smul", "NonUnitalSubalgebra.coe_star", "NonUnitalSubalgebra.coe_toNonUnitalSubsemiring", "NonUnitalSubalgebra.coe_toSubmodule", "NonUnitalSubalgebra.copy_eq", "NonUnitalSubalgebra.gc_map_comap", "NonUnitalSubalgebra.iSupLift_inclusion", "NonUnitalSubalgebra.iSupLift_mk", "NonUnitalSubalgebra.iSupLift_of_mem", "NonUnitalSubalgebra.inclusion_inclusion", "NonUnitalSubalgebra.inclusion_mk", "NonUnitalSubalgebra.inclusion_right", "NonUnitalSubalgebra.inclusion_self", "NonUnitalSubalgebra.map_id", "NonUnitalSubalgebra.map_injective", "NonUnitalSubalgebra.map_le", "NonUnitalSubalgebra.map_mono", "NonUnitalSubalgebra.map_toNonUnitalSubsemiring", "NonUnitalSubalgebra.mem_carrier", "NonUnitalSubalgebra.mem_center_iff", "NonUnitalSubalgebra.mem_centralizer_iff", "NonUnitalSubalgebra.mem_map", "NonUnitalSubalgebra.mem_prod", "NonUnitalSubalgebra.mem_toNonUnitalStarSubalgebra", "NonUnitalSubalgebra.mem_toNonUnitalSubring", "NonUnitalSubalgebra.mem_toSubmodule", "NonUnitalSubalgebra.prod_inf_prod", "NonUnitalSubalgebra.prod_mono", "NonUnitalSubalgebra.prod_toSubmodule", "NonUnitalSubalgebra.range_val", "NonUnitalSubalgebra.starClosure_le", "NonUnitalSubalgebra.starClosure_le_iff", "NonUnitalSubalgebra.starClosure_mono", "NonUnitalSubalgebra.starClosure_toNonunitalSubalgebra", "NonUnitalSubalgebra.star_adjoin_comm", "NonUnitalSubalgebra.toNonUnitalStarSubalgebra_toNonUnitalSubalgebra", "NonUnitalSubalgebra.toNonUnitalSubring_injective", "NonUnitalSubalgebra.toNonUnitalSubsemiring_inj", "NonUnitalSubalgebra.toNonUnitalSubsemiring_injective", "NonUnitalSubalgebra.toSubalgebra_toNonUnitalSubalgebra", "NonUnitalSubalgebra.toSubring_subtype", "NonUnitalSubalgebra.unitization_apply", "NonUnitalSubalgebra.unitization_range", "NonUnitalSubalgebraClass.coeSubtype", "NonUnitalSubring.add_mem", "NonUnitalSubring.center_toNonUnitalSubsemiring", "NonUnitalSubring.closure_empty", "NonUnitalSubring.closure_eq", "NonUnitalSubring.closure_iUnion", "NonUnitalSubring.closure_induction", "NonUnitalSubring.closure_induction'", "NonUnitalSubring.closure_le", "NonUnitalSubring.closure_mono", "NonUnitalSubring.closure_preimage_le", "NonUnitalSubring.closure_sUnion", "NonUnitalSubring.closure_union", "NonUnitalSubring.closure_univ", "NonUnitalSubring.coe_comap", "NonUnitalSubring.coe_copy", "NonUnitalSubring.coe_equivMapOfInjective_apply", "NonUnitalSubring.coe_iInf", "NonUnitalSubring.coe_iSup_of_directed", "NonUnitalSubring.coe_map", "NonUnitalSubring.coe_mk'", "NonUnitalSubring.coe_sInf", "NonUnitalSubring.coe_sSup_of_directedOn", "NonUnitalSubring.coe_set_mk", "NonUnitalSubring.coe_toAddSubgroup", "NonUnitalSubring.coe_toNonUnitalSubsemiring", "NonUnitalSubring.coe_toSubsemigroup", "NonUnitalSubring.comap_comap", "NonUnitalSubring.comap_inf", "NonUnitalSubring.comap_top", "NonUnitalSubring.copy_eq", "NonUnitalSubring.eq_top_iff'", "NonUnitalSubring.ext", "NonUnitalSubring.gc_map_comap", "NonUnitalSubring.map_equiv_eq_comap_symm", "NonUnitalSubring.map_id", "NonUnitalSubring.map_le_iff_le_comap", "NonUnitalSubring.map_map", "NonUnitalSubring.mem_bot", "NonUnitalSubring.mem_carrier", "NonUnitalSubring.mem_center_iff", "NonUnitalSubring.mem_closure", "NonUnitalSubring.mem_closure_iff", "NonUnitalSubring.mem_comap", "NonUnitalSubring.mem_iInf", "NonUnitalSubring.mem_iSup_of_directed", "NonUnitalSubring.mem_map", "NonUnitalSubring.mem_map_equiv", "NonUnitalSubring.mem_mk", "NonUnitalSubring.mem_prod", "NonUnitalSubring.mem_sInf", "NonUnitalSubring.mem_sSup_of_directedOn", "NonUnitalSubring.mem_toAddSubgroup", "NonUnitalSubring.mem_toNonUnitalSubsemiring", "NonUnitalSubring.mem_toSubsemigroup", "NonUnitalSubring.mem_top", "NonUnitalSubring.mk'_toAddSubgroup", "NonUnitalSubring.mk'_toSubsemigroup", "NonUnitalSubring.mk_le_mk", "NonUnitalSubring.mul_mem", "NonUnitalSubring.neg_mem", "NonUnitalSubring.not_mem_of_not_mem_closure", "NonUnitalSubring.prod_mono_left", "NonUnitalSubring.prod_mono_right", "NonUnitalSubring.prod_top", "NonUnitalSubring.range_fst", "NonUnitalSubring.range_snd", "NonUnitalSubring.sInf_toAddSubgroup", "NonUnitalSubring.sInf_toSubsemigroup", "NonUnitalSubring.subset_closure", "NonUnitalSubring.sum_mem", "NonUnitalSubring.toAddSubgroup_mono", "NonUnitalSubring.toAddSubgroup_strictMono", "NonUnitalSubring.toNonUnitalSubsemiring_mono", "NonUnitalSubring.toNonUnitalSubsemiring_strictMono", "NonUnitalSubring.toSubsemigroup_injective", "NonUnitalSubring.toSubsemigroup_mono", "NonUnitalSubring.top_prod", "NonUnitalSubring.top_prod_top", "NonUnitalSubring.unitization_apply", "NonUnitalSubring.unitization_range", "NonUnitalSubring.val_neg", "NonUnitalSubring.zero_mem", "NonUnitalSubring.zsmul_mem", "NonUnitalSubringClass.coe_subtype", "NonUnitalSubsemiring.center_toSubsemigroup", "NonUnitalSubsemiring.centralizer_eq_top_iff_subset", "NonUnitalSubsemiring.centralizer_le", "NonUnitalSubsemiring.centralizer_toSubsemigroup", "NonUnitalSubsemiring.centralizer_univ", "NonUnitalSubsemiring.closure_addSubmonoid_closure", "NonUnitalSubsemiring.closure_empty", "NonUnitalSubsemiring.closure_eq", "NonUnitalSubsemiring.closure_induction", "NonUnitalSubsemiring.closure_induction\u2082", "NonUnitalSubsemiring.closure_mono", "NonUnitalSubsemiring.closure_sUnion", "NonUnitalSubsemiring.closure_subsemigroup_closure", "NonUnitalSubsemiring.closure_univ", "NonUnitalSubsemiring.coe_bot", "NonUnitalSubsemiring.coe_center", "NonUnitalSubsemiring.coe_comap", "NonUnitalSubsemiring.coe_copy", "NonUnitalSubsemiring.coe_equivMapOfInjective_apply", "NonUnitalSubsemiring.coe_map", "NonUnitalSubsemiring.coe_toAddSubmonoid", "NonUnitalSubsemiring.coe_top", "NonUnitalSubsemiring.coe_zero", "NonUnitalSubsemiring.comap_comap", "NonUnitalSubsemiring.comap_equiv_eq_map_symm", "NonUnitalSubsemiring.comap_top", "NonUnitalSubsemiring.copy_eq", "NonUnitalSubsemiring.eq_top_iff'", "NonUnitalSubsemiring.gc_map_comap", "NonUnitalSubsemiring.map_le_iff_le_comap", "NonUnitalSubsemiring.map_sup", "NonUnitalSubsemiring.mem_carrier", "NonUnitalSubsemiring.mem_center_iff", "NonUnitalSubsemiring.mem_centralizer_iff", "NonUnitalSubsemiring.mem_closure", "NonUnitalSubsemiring.mem_closure_iff", "NonUnitalSubsemiring.mem_comap", "NonUnitalSubsemiring.mem_iSup_of_directed", "NonUnitalSubsemiring.mem_inf", "NonUnitalSubsemiring.mem_map", "NonUnitalSubsemiring.mem_map_equiv", "NonUnitalSubsemiring.mem_mk'", "NonUnitalSubsemiring.mem_prod", "NonUnitalSubsemiring.mem_sSup_of_directedOn", "NonUnitalSubsemiring.mem_toSubsemigroup", "NonUnitalSubsemiring.mem_top", "NonUnitalSubsemiring.mk'_toSubsemigroup", "NonUnitalSubsemiring.prod_mono", "NonUnitalSubsemiring.prod_mono_left", "NonUnitalSubsemiring.prod_mono_right", "NonUnitalSubsemiring.prod_top", "NonUnitalSubsemiring.range_fst", "NonUnitalSubsemiring.range_snd", "NonUnitalSubsemiring.sInf_toAddSubmonoid", "NonUnitalSubsemiring.sInf_toSubsemigroup", "NonUnitalSubsemiring.srange_subtype", "NonUnitalSubsemiring.subset_closure", "NonUnitalSubsemiring.toAddSubmonoid_mono", "NonUnitalSubsemiring.toAddSubmonoid_strictMono", "NonUnitalSubsemiring.toSubsemigroup_injective", "NonUnitalSubsemiring.toSubsemigroup_mono", "NonUnitalSubsemiring.toSubsemiring_toNonUnitalSubsemiring", "NonUnitalSubsemiring.top_prod", "NonUnitalSubsemiring.top_prod_top", "NonUnitalSubsemiring.unitization_range", "NonarchAddGroupNorm.apply_one", "NonarchAddGroupNorm.ext", "NonarchAddGroupNorm.lt_def", "NonarchAddGroupNorm.sup_apply", "NonarchAddGroupSeminorm.add_bddBelow_range_add", "NonarchAddGroupSeminorm.coe_le_coe", "NonarchAddGroupSeminorm.coe_lt_coe", "NonarchAddGroupSeminorm.coe_sup", "NonarchAddGroupSeminorm.coe_zero", "NonarchAddGroupSeminorm.ext", "NonarchAddGroupSeminorm.le_def", "NonarchAddGroupSeminorm.lt_def", "NonarchAddGroupSeminorm.smul_sup", "NonarchimedeanGroup.cauchySeq_prod_of_tendsto_cofinite_one", "NonarchimedeanGroup.multipliable_iff_tendsto_cofinite_one", "NonarchimedeanGroup.multipliable_of_tendsto_cofinite_one", "NonarchimedeanGroup.nonarchimedean_of_emb", "NonarchimedeanGroup.prod_self_subset", "NonarchimedeanGroup.prod_subset", "NonarchimedeanRing.left_mul_subset", "NonarchimedeanRing.mul_subset", "Nonempty.congr", "Nonempty.elim", "Nonempty.exists", "Nonempty.forall", "Nonempty.imp", "Nonempty.map", "NonemptyFinLinOrd.coe_of", "NonemptyFinLinOrd.epi_iff_surjective", "NonemptyFinLinOrd.forget_map_apply", "NonemptyFinLinOrd.mono_iff_injective", "NonemptyInterval.coe_coeHom", "NonemptyInterval.coe_div_interval", "NonemptyInterval.coe_nonempty", "NonemptyInterval.coe_one_interval", "NonemptyInterval.coe_pow_interval", "NonemptyInterval.coe_pure", "NonemptyInterval.coe_pure_interval", "NonemptyInterval.coe_ssubset_coe", "NonemptyInterval.coe_sub_interval", "NonemptyInterval.coe_subset_coe", "NonemptyInterval.coe_sup_interval", "NonemptyInterval.coe_top", "NonemptyInterval.coe_top_interval", "NonemptyInterval.dual_pure", "NonemptyInterval.fst_div", "NonemptyInterval.fst_dual", "NonemptyInterval.fst_inv", "NonemptyInterval.fst_mul", "NonemptyInterval.fst_one", "NonemptyInterval.fst_pow", "NonemptyInterval.fst_sup", "NonemptyInterval.inv_mem_inv", "NonemptyInterval.inv_pure", "NonemptyInterval.le_def", "NonemptyInterval.length_add", "NonemptyInterval.length_neg", "NonemptyInterval.length_nonneg", "NonemptyInterval.length_sub", "NonemptyInterval.length_sum", "NonemptyInterval.map_map", "NonemptyInterval.map_pure", "NonemptyInterval.map\u2082_pure", "NonemptyInterval.mem_def", "NonemptyInterval.mem_mk", "NonemptyInterval.mem_pure", "NonemptyInterval.mem_pure_self", "NonemptyInterval.mul_eq_one_iff", "NonemptyInterval.one_mem_one", "NonemptyInterval.pure_mul_pure", "NonemptyInterval.pure_one", "NonemptyInterval.pure_pow", "NonemptyInterval.snd_div", "NonemptyInterval.snd_one", "NonemptyInterval.snd_pow", "NonemptyInterval.snd_sub", "NonemptyInterval.snd_sup", "NonemptyInterval.sub_mem_sub", "NonemptyInterval.subset_coe_map", "NonemptyInterval.toDualProd_apply", "NonemptyInterval.toDualProd_injective", "NonemptyInterval.toProd_one", "NonemptyInterval.toProd_pow", "Nonneg.bot_eq", "Nonneg.coe_inv", "Nonneg.coe_natCast", "Nonneg.coe_nsmul", "Nonneg.coe_one", "Nonneg.coe_pow", "Nonneg.coe_zero", "Nonneg.coe_zpow", "Nonneg.inv_mk", "Nonneg.mk_add_mk", "Nonneg.mk_eq_zero", "Nonneg.mk_nnqsmul", "Nonneg.mk_nnratCast", "Nonneg.mk_pow", "Nonneg.mk_smul", "Nonneg.mk_sub_mk", "Nonneg.mk_zpow", "Nonneg.nat_floor_coe", "Nonneg.toNonneg_coe", "Nonneg.toNonneg_lt", "Nonneg.toNonneg_of_nonneg", "NonnegSpectrumClass.iff_spectrum_nonneg", "NormOneClass.induced", "NormOneClass.nontrivial", "Normal.exists_isSplittingField", "Normal.minpoly_eq_iff_mem_orbit", "Normal.of_algEquiv", "Normal.of_isSplittingField", "Normal.splits", "Normal.tower_top_of_normal", "NormedAddCommGroup.cauchy_series_of_le_geometric''", "NormedAddCommGroup.completeSpace_of_summable_imp_tendsto", "NormedAddCommGroup.denseRange_toCompl", "NormedAddCommGroup.exists_norm_nsmul_le", "NormedAddCommGroup.norm_toCompl", "NormedAddCommGroup.summable_imp_tendsto_of_complete", "NormedAddCommGroup.tendsto_atTop", "NormedAddCommGroup.tendsto_atTop'", "NormedAddGroupHom.Equalizer.comm_sq\u2082", "NormedAddGroupHom.Equalizer.comp_\u03b9_eq", "NormedAddGroupHom.Equalizer.map_comp_map", "NormedAddGroupHom.Equalizer.norm_lift_le", "NormedAddGroupHom.Equalizer.norm_map_le", "NormedAddGroupHom.Equalizer.\u03b9_normNoninc", "NormedAddGroupHom.IsQuotient.norm_le", "NormedAddGroupHom.IsQuotient.norm_lift", "NormedAddGroupHom.NormNoninc.comp", "NormedAddGroupHom.NormNoninc.id", "NormedAddGroupHom.NormNoninc.neg_iff", "NormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_one", "NormedAddGroupHom.NormNoninc.zero", "NormedAddGroupHom.SurjectiveOnWith.exists_pos", "NormedAddGroupHom.SurjectiveOnWith.mono", "NormedAddGroupHom.SurjectiveOnWith.surjOn", "NormedAddGroupHom.antilipschitz_of_norm_ge", "NormedAddGroupHom.bound", "NormedAddGroupHom.bounds_bddBelow", "NormedAddGroupHom.bounds_nonempty", "NormedAddGroupHom.coe_add", "NormedAddGroupHom.coe_injective", "NormedAddGroupHom.coe_ker", "NormedAddGroupHom.coe_mk", "NormedAddGroupHom.coe_mkNormedAddGroupHom", "NormedAddGroupHom.coe_mkNormedAddGroupHom'", "NormedAddGroupHom.coe_smul", "NormedAddGroupHom.coe_sub", "NormedAddGroupHom.coe_sum", "NormedAddGroupHom.coe_toAddMonoidHom", "NormedAddGroupHom.coe_zero", "NormedAddGroupHom.coe_zsmul", "NormedAddGroupHom.comp_assoc", "NormedAddGroupHom.comp_range", "NormedAddGroupHom.comp_zero", "NormedAddGroupHom.completion_coe", "NormedAddGroupHom.completion_coe'", "NormedAddGroupHom.completion_coe_to_fun", "NormedAddGroupHom.completion_comp", "NormedAddGroupHom.completion_neg", "NormedAddGroupHom.completion_sub", "NormedAddGroupHom.completion_toCompl", "NormedAddGroupHom.continuous", "NormedAddGroupHom.ext", "NormedAddGroupHom.extension_coe_to_fun", "NormedAddGroupHom.extension_unique", "NormedAddGroupHom.isQuotientQuotient", "NormedAddGroupHom.ker.incl_comp_lift", "NormedAddGroupHom.ker_completion", "NormedAddGroupHom.ker_le_ker_completion", "NormedAddGroupHom.le_of_opNorm_le", "NormedAddGroupHom.le_opNorm", "NormedAddGroupHom.le_opNorm_of_le", "NormedAddGroupHom.lift_norm_le", "NormedAddGroupHom.lift_unique", "NormedAddGroupHom.lipschitz", "NormedAddGroupHom.mem_ker", "NormedAddGroupHom.mem_range", "NormedAddGroupHom.mem_range_self", "NormedAddGroupHom.mkNormedAddGroupHom_norm_le", "NormedAddGroupHom.mkNormedAddGroupHom_norm_le'", "NormedAddGroupHom.mk_toAddMonoidHom", "NormedAddGroupHom.neg_apply", "NormedAddGroupHom.norm_comp_le", "NormedAddGroupHom.norm_comp_le_of_le", "NormedAddGroupHom.norm_comp_le_of_le'", "NormedAddGroupHom.norm_completion", "NormedAddGroupHom.norm_def", "NormedAddGroupHom.norm_eq_of_isometry", "NormedAddGroupHom.norm_id", "NormedAddGroupHom.norm_id_le", "NormedAddGroupHom.norm_id_of_nontrivial_seminorm", "NormedAddGroupHom.norm_lift_le", "NormedAddGroupHom.nsmul_apply", "NormedAddGroupHom.opNorm_add_le", "NormedAddGroupHom.opNorm_eq_of_bounds", "NormedAddGroupHom.opNorm_le_bound", "NormedAddGroupHom.opNorm_le_of_lipschitz", "NormedAddGroupHom.opNorm_neg", "NormedAddGroupHom.opNorm_zero", "NormedAddGroupHom.opNorm_zero_iff", "NormedAddGroupHom.ratio_le_opNorm", "NormedAddGroupHom.sum_apply", "NormedAddGroupHom.toAddMonoidHom_injective", "NormedAddGroupHom.zero_completion", "NormedCommGroup.cauchySeq_iff", "NormedCommGroup.nhds_basis_norm_lt", "NormedCommGroup.nhds_one_basis_norm_lt", "NormedCommGroup.tendsto_nhds_nhds", "NormedCommGroup.tendsto_nhds_one", "NormedCommGroup.uniformity_basis_dist", "NormedField.continuousAt_inv", "NormedField.continuousAt_zpow", "NormedField.denseRange_nnnorm", "NormedField.exists_lt_nnnorm_lt", "NormedField.exists_lt_norm", "NormedField.exists_lt_norm_lt", "NormedField.exists_norm_lt", "NormedField.exists_norm_lt_one", "NormedField.exists_one_lt_norm", "NormedField.nhdsWithin_isUnit_neBot", "NormedField.punctured_nhds_neBot", "NormedField.tendsto_norm_zpow_nhdsWithin_0_atTop", "NormedField.tendsto_zero_smul_of_tendsto_zero_of_bounded", "NormedRing.inverse_add", "NormedRing.inverse_add_norm", "NormedRing.inverse_add_norm_diff_nth_order", "NormedRing.inverse_add_norm_diff_second_order", "NormedRing.inverse_add_nth_order", "NormedRing.inverse_continuousAt", "NormedRing.inverse_one_sub", "NormedRing.inverse_one_sub_norm", "NormedRing.inverse_one_sub_nth_order", "NormedRing.inverse_one_sub_nth_order'", "NormedRing.summable_geometric_of_norm_lt_one", "NormedRing.tsum_geometric_of_norm_lt_one", "NormedSpace.Dual.coe_toWeakDual", "NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology", "NormedSpace.Dual.isClosed_image_polar_of_mem_nhds", "NormedSpace.Dual.toWeakDual_continuous", "NormedSpace.Dual.toWeakDual_eq_iff", "NormedSpace.algebraMap_exp_comm", "NormedSpace.algebraMap_exp_comm_of_mem_ball", "NormedSpace.analyticAt_exp_of_mem_ball", "NormedSpace.closedBall_inv_subset_polar_closedBall", "NormedSpace.cobounded_neBot", "NormedSpace.continuousOn_exp", "NormedSpace.double_dual_bound", "NormedSpace.dualPairing_separatingLeft", "NormedSpace.dual_def", "NormedSpace.eq_iff_forall_dual_eq", "NormedSpace.eq_zero_iff_forall_dual_eq_zero", "NormedSpace.eq_zero_of_forall_dual_eq_zero", "NormedSpace.equicontinuous_TFAE", "NormedSpace.exists_lt_norm", "NormedSpace.expSeries_apply_eq", "NormedSpace.expSeries_apply_eq'", "NormedSpace.expSeries_apply_eq_div", "NormedSpace.expSeries_apply_zero", "NormedSpace.expSeries_div_hasSum_exp", "NormedSpace.expSeries_div_hasSum_exp_of_mem_ball", "NormedSpace.expSeries_div_summable_of_mem_ball", "NormedSpace.expSeries_eq_expSeries", "NormedSpace.expSeries_hasSum_exp", "NormedSpace.expSeries_hasSum_exp_of_mem_ball", "NormedSpace.expSeries_radius_eq_top", "NormedSpace.expSeries_radius_pos", "NormedSpace.expSeries_sum_eq", "NormedSpace.expSeries_sum_eq_div", "NormedSpace.expSeries_summable", "NormedSpace.expSeries_summable_of_mem_ball", "NormedSpace.expSeries_summable_of_mem_ball'", "NormedSpace.exp_add_of_commute", "NormedSpace.exp_add_of_commute_of_mem_ball", "NormedSpace.exp_add_of_mem_ball", "NormedSpace.exp_analytic", "NormedSpace.exp_conj'", "NormedSpace.exp_continuous", "NormedSpace.exp_eq_exp", "NormedSpace.exp_eq_tsum", "NormedSpace.exp_eq_tsum_div", "NormedSpace.exp_hasFPowerSeriesAt_zero", "NormedSpace.exp_hasFPowerSeriesOnBall", "NormedSpace.exp_mem_unitary_of_mem_skewAdjoint", "NormedSpace.exp_neg", "NormedSpace.exp_neg_of_mem_ball", "NormedSpace.exp_nsmul", "NormedSpace.exp_op", "NormedSpace.exp_smul", "NormedSpace.exp_sum", "NormedSpace.exp_sum_of_commute", "NormedSpace.exp_units_conj'", "NormedSpace.exp_unop", "NormedSpace.exp_zero", "NormedSpace.exp_zsmul", "NormedSpace.exp_\u211d_\u2102_eq_exp_\u2102_\u2102", "NormedSpace.hasFPowerSeriesAt_exp_zero_of_radius_pos", "NormedSpace.hasFPowerSeriesOnBall_exp_of_radius_pos", "NormedSpace.image_isVonNBounded_iff", "NormedSpace.inclusionInDoubleDual_norm_le", "NormedSpace.invOf_exp", "NormedSpace.invOf_exp_of_mem_ball", "NormedSpace.isBounded_iff_subset_smul_ball", "NormedSpace.isBounded_iff_subset_smul_closedBall", "NormedSpace.isBounded_polar_of_mem_nhds_zero", "NormedSpace.isClosed_polar", "NormedSpace.isVonNBounded_ball", "NormedSpace.isVonNBounded_closedBall", "NormedSpace.isVonNBounded_iff", "NormedSpace.isVonNBounded_iff'", "NormedSpace.isVonNBounded_of_isBounded", "NormedSpace.map_exp", "NormedSpace.map_exp_of_mem_ball", "NormedSpace.mem_polar_iff", "NormedSpace.noncompactSpace", "NormedSpace.norm_expSeries_div_summable", "NormedSpace.norm_expSeries_div_summable_of_mem_ball", "NormedSpace.norm_expSeries_summable", "NormedSpace.norm_expSeries_summable'", "NormedSpace.norm_expSeries_summable_of_mem_ball", "NormedSpace.norm_expSeries_summable_of_mem_ball'", "NormedSpace.norm_le_dual_bound", "NormedSpace.polar_ball_subset_closedBall_div", "NormedSpace.polar_closedBall", "NormedSpace.polar_closure", "NormedSpace.polar_univ", "NormedSpace.smul_mem_polar", "NormedSpace.sphere_nonempty", "NormedSpace.sphere_nonempty_rclike", "NormedSpace.star_exp", "NormedSpace.toLocallyConvexSpace'", "NormedSpace.unbounded_univ", "NormedSpace.vonNBornology_eq", "Not.imp_symm", "Num.add_ofNat'", "Num.add_one", "Num.add_succ", "Num.add_toZNum", "Num.add_to_nat", "Num.add_zero", "Num.bit0_of_bit0", "Num.bit1_of_bit1", "Num.bit_to_nat", "Num.castNum_and", "Num.castNum_eq_bitwise", "Num.castNum_ldiff", "Num.castNum_or", "Num.castNum_shiftLeft", "Num.castNum_shiftRight", "Num.castNum_testBit", "Num.castNum_xor", "Num.cast_add", "Num.cast_bit0", "Num.cast_bit1", "Num.cast_inj", "Num.cast_le", "Num.cast_lt", "Num.cast_mul", "Num.cast_ofZNum", "Num.cast_one", "Num.cast_sub'", "Num.cast_succ", "Num.cast_succ'", "Num.cast_toZNum", "Num.cast_toZNumNeg", "Num.cast_to_int", "Num.cast_to_nat", "Num.cast_zero", "Num.cast_zero'", "Num.cmp_eq", "Num.cmp_to_nat", "Num.div_zero", "Num.dvd_iff_mod_eq_zero", "Num.gcd_to_nat", "Num.gcd_to_nat_aux", "Num.land_eq_and", "Num.le_iff_cmp", "Num.le_to_nat", "Num.lor_eq_or", "Num.lt_iff_cmp", "Num.lt_to_nat", "Num.lxor_eq_xor", "Num.mem_ofZNum'", "Num.minFac_to_nat", "Num.mod_to_nat", "Num.mul_to_nat", "Num.ofInt'_toZNum", "Num.ofNat'_eq", "Num.ofNat'_one", "Num.ofNat'_succ", "Num.ofNat'_zero", "Num.ofZNum'_toNat", "Num.ofZNum_toNat", "Num.of_natCast", "Num.of_nat_inj", "Num.of_to_nat'", "Num.ppred_to_nat", "Num.pred_succ", "Num.pred_to_nat", "Num.shiftl_eq_shiftLeft", "Num.shiftr_eq_shiftRight", "Num.size_to_nat", "Num.sub_to_nat", "Num.succ'_to_nat", "Num.succ_ofInt'", "Num.succ_to_nat", "Num.toZNumNeg_succ", "Num.toZNum_inj", "Num.toZNum_succ", "Num.to_nat_to_int", "Num.to_of_nat", "Num.zero_add", "Num.zneg_toZNum", "Num.zneg_toZNumNeg", "NumberField.ComplexEmbedding.IsConj.coe_stabilzer_mk", "NumberField.ComplexEmbedding.IsConj.eq", "NumberField.ComplexEmbedding.IsConj.isReal_comp", "NumberField.ComplexEmbedding.IsConj.isUnramified_mk_iff", "NumberField.ComplexEmbedding.IsConj.symm", "NumberField.ComplexEmbedding.IsReal.coe_embedding_apply", "NumberField.ComplexEmbedding.conjugate_coe_eq", "NumberField.ComplexEmbedding.exists_comp_symm_eq_of_comp_eq", "NumberField.ComplexEmbedding.isReal_iff", "NumberField.ComplexEmbedding.place_conjugate", "NumberField.Embeddings.card", "NumberField.Embeddings.coeff_bdd_of_norm_le", "NumberField.Embeddings.finite_of_norm_le", "NumberField.Embeddings.pow_eq_one_of_norm_eq_one", "NumberField.InfinitePlace.ComplexEmbedding.exists_comp_symm_eq_of_comp_eq", "NumberField.InfinitePlace.IsReal.comap", "NumberField.InfinitePlace.IsReal.isUnramified", "NumberField.InfinitePlace.IsUnramified.comap_algHom", "NumberField.InfinitePlace.IsUnramified.eq", "NumberField.InfinitePlace.IsUnramified.of_restrictScalars", "NumberField.InfinitePlace.IsUnramified.stabilizer_eq_bot", "NumberField.InfinitePlace.apply", "NumberField.InfinitePlace.card_add_two_mul_card_eq_rank", "NumberField.InfinitePlace.card_complex_embeddings", "NumberField.InfinitePlace.card_eq_card_isUnramifiedIn", "NumberField.InfinitePlace.card_eq_nrRealPlaces_add_nrComplexPlaces", "NumberField.InfinitePlace.card_filter_mk_eq", "NumberField.InfinitePlace.card_isUnramified", "NumberField.InfinitePlace.card_isUnramified_compl", "NumberField.InfinitePlace.card_mono", "NumberField.InfinitePlace.card_real_embeddings", "NumberField.InfinitePlace.comap_comp", "NumberField.InfinitePlace.comap_mk", "NumberField.InfinitePlace.comap_smul", "NumberField.InfinitePlace.comap_surjective", "NumberField.InfinitePlace.conjugate_embedding_eq_of_isReal", "NumberField.InfinitePlace.embedding_mk_eq", "NumberField.InfinitePlace.embedding_mk_eq_of_isReal", "NumberField.InfinitePlace.embedding_of_isReal_apply", "NumberField.InfinitePlace.eq_iff_eq", "NumberField.InfinitePlace.even_card_aut_of_not_isUnramified", "NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedIn", "NumberField.InfinitePlace.even_finrank_of_not_isUnramified", "NumberField.InfinitePlace.even_finrank_of_not_isUnramifiedIn", "NumberField.InfinitePlace.even_nat_card_aut_of_not_isUnramified", "NumberField.InfinitePlace.exists_smul_eq_of_comap_eq", "NumberField.InfinitePlace.isComplex_iff", "NumberField.InfinitePlace.isReal_comap_iff", "NumberField.InfinitePlace.isReal_iff", "NumberField.InfinitePlace.isReal_mk_iff", "NumberField.InfinitePlace.isReal_of_mk_isReal", "NumberField.InfinitePlace.isReal_or_isComplex", "NumberField.InfinitePlace.isUnramifiedIn_comap", "NumberField.InfinitePlace.isUnramified_iff", "NumberField.InfinitePlace.isUnramified_iff_card_stabilizer_eq_one", "NumberField.InfinitePlace.isUnramified_iff_mult_le", "NumberField.InfinitePlace.isUnramified_iff_stabilizer_eq_bot", "NumberField.InfinitePlace.isUnramified_mk_iff_forall_isConj", "NumberField.InfinitePlace.isUnramified_smul_iff", "NumberField.InfinitePlace.mem_orbit_iff", "NumberField.InfinitePlace.mem_stabilizer_mk_iff", "NumberField.InfinitePlace.mk_conjugate_eq", "NumberField.InfinitePlace.mk_embedding", "NumberField.InfinitePlace.mk_eq_iff", "NumberField.InfinitePlace.mult_comap_le", "NumberField.InfinitePlace.nat_card_stabilizer_eq_one_or_two", "NumberField.InfinitePlace.ne_of_isReal_isComplex", "NumberField.InfinitePlace.norm_embedding_eq", "NumberField.InfinitePlace.norm_embedding_of_isReal", "NumberField.InfinitePlace.not_isComplex_iff_isReal", "NumberField.InfinitePlace.not_isReal_iff_isComplex", "NumberField.InfinitePlace.not_isReal_of_mk_isComplex", "NumberField.InfinitePlace.not_isUnramified_iff", "NumberField.InfinitePlace.not_isUnramified_iff_card_stabilizer_eq_two", "NumberField.InfinitePlace.nrComplexPlaces_eq_zero_of_finrank_eq_one", "NumberField.InfinitePlace.nrRealPlaces_eq_one_of_finrank_eq_one", "NumberField.InfinitePlace.one_le_mult", "NumberField.InfinitePlace.one_le_of_lt_one", "NumberField.InfinitePlace.pos_iff", "NumberField.InfinitePlace.prod_eq_abs_norm", "NumberField.InfinitePlace.smul_apply", "NumberField.InfinitePlace.smul_eq_comap", "NumberField.InfinitePlace.smul_mk", "NumberField.InfinitePlace.sum_mult_eq", "NumberField.RingOfIntegers.coe_eq_algebraMap", "NumberField.RingOfIntegers.coe_injective", "NumberField.RingOfIntegers.coe_mk", "NumberField.RingOfIntegers.isIntegral", "NumberField.RingOfIntegers.isIntegral_coe", "NumberField.RingOfIntegers.map_mk", "NumberField.RingOfIntegers.mk_add_mk", "NumberField.RingOfIntegers.mk_eq_mk", "NumberField.RingOfIntegers.mk_mul_mk", "NumberField.RingOfIntegers.mk_one", "NumberField.RingOfIntegers.mk_zero", "NumberField.RingOfIntegers.neg_mk", "NumberField.RingOfIntegers.not_isField", "NumberField.RingOfIntegers.rank", "NumberField.Units.abs_det_eq_abs_det", "NumberField.Units.coe_injective", "NumberField.Units.coe_neg_one", "NumberField.Units.coe_one", "NumberField.Units.coe_zpow", "NumberField.Units.dirichletUnitTheorem.exists_unit", "NumberField.Units.dirichletUnitTheorem.logEmbedding_component", "NumberField.Units.dirichletUnitTheorem.logEmbedding_component_le", "NumberField.Units.dirichletUnitTheorem.logEmbedding_eq_zero_iff", "NumberField.Units.dirichletUnitTheorem.log_le_of_logEmbedding_le", "NumberField.Units.dirichletUnitTheorem.mult_log_place_eq_zero", "NumberField.Units.dirichletUnitTheorem.seq_decreasing", "NumberField.Units.dirichletUnitTheorem.seq_ne_zero", "NumberField.Units.dirichletUnitTheorem.seq_next", "NumberField.Units.dirichletUnitTheorem.seq_norm_le", "NumberField.Units.dirichletUnitTheorem.sum_logEmbedding_component", "NumberField.Units.dirichletUnitTheorem.unitLattice_inter_ball_finite", "NumberField.Units.dirichletUnitTheorem.unitLattice_span_eq_top", "NumberField.Units.mem_torsion", "NumberField.Units.norm", "NumberField.Units.regulator_eq_det", "NumberField.Units.regulator_eq_det'", "NumberField.Units.regulator_ne_zero", "NumberField.Units.regulator_pos", "NumberField.Units.rootsOfUnity_eq_one", "NumberField.Units.rootsOfUnity_eq_torsion", "NumberField.abs_discr_ge", "NumberField.abs_discr_gt_two", "NumberField.adjoin_eq_top_of_infinitePlace_lt", "NumberField.basisOfFractionalIdeal_apply", "NumberField.canonicalEmbedding.apply_at", "NumberField.canonicalEmbedding.conj_apply", "NumberField.canonicalEmbedding.integerLattice.inter_ball_finite", "NumberField.canonicalEmbedding.integralBasis_repr_apply", "NumberField.canonicalEmbedding.latticeBasis_apply", "NumberField.canonicalEmbedding.mem_rat_span_latticeBasis", "NumberField.canonicalEmbedding.mem_span_latticeBasis", "NumberField.canonicalEmbedding.nnnorm_eq", "NumberField.canonicalEmbedding.norm_le_iff", "NumberField.canonicalEmbedding_injective", "NumberField.coe_discr", "NumberField.det_basisOfFractionalIdeal_eq_absNorm", "NumberField.discr_eq_discr", "NumberField.discr_eq_discr_of_algEquiv", "NumberField.discr_ne_zero", "NumberField.exists_ideal_in_class_of_norm_le", "NumberField.exists_ne_zero_mem_ideal_of_norm_le_mul_sqrt_discr", "NumberField.exists_ne_zero_mem_ringOfIntegers_of_norm_le_mul_sqrt_discr", "NumberField.finite_of_discr_bdd", "NumberField.fractionalIdeal_rank", "NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplex", "NumberField.hermiteTheorem.finite_of_discr_bdd_of_isReal", "NumberField.hermiteTheorem.finite_of_finite_generating_set", "NumberField.hermiteTheorem.minkowskiBound_lt_boundOfDiscBdd", "NumberField.hermiteTheorem.natDegree_le_rankOfDiscrBdd", "NumberField.hermiteTheorem.rank_le_rankOfDiscrBdd", "NumberField.integralBasis_apply", "NumberField.integralBasis_repr_apply", "NumberField.isAlgebraic", "NumberField.isUnit_iff_norm", "NumberField.is_primitive_element_of_infinitePlace_lt", "NumberField.mem_span_basisOfFractionalIdeal", "NumberField.mem_span_integralBasis", "NumberField.mixedEmbedding.adjust_f", "NumberField.mixedEmbedding.commMap_apply_of_isComplex", "NumberField.mixedEmbedding.commMap_canonical_eq_mixed", "NumberField.mixedEmbedding.convexBodyLT'Factor_ne_zero", "NumberField.mixedEmbedding.convexBodyLT'_mem", "NumberField.mixedEmbedding.convexBodyLT'_neg_mem", "NumberField.mixedEmbedding.convexBodyLT'_volume", "NumberField.mixedEmbedding.convexBodyLT_convex", "NumberField.mixedEmbedding.convexBodyLT_mem", "NumberField.mixedEmbedding.convexBodyLT_neg_mem", "NumberField.mixedEmbedding.convexBodyLT_volume", "NumberField.mixedEmbedding.convexBodySumFactor_ne_zero", "NumberField.mixedEmbedding.convexBodySumFun_add_le", "NumberField.mixedEmbedding.convexBodySumFun_apply'", "NumberField.mixedEmbedding.convexBodySumFun_continuous", "NumberField.mixedEmbedding.convexBodySumFun_eq_zero_iff", "NumberField.mixedEmbedding.convexBodySumFun_neg", "NumberField.mixedEmbedding.convexBodySumFun_nonneg", "NumberField.mixedEmbedding.convexBodySumFun_smul", "NumberField.mixedEmbedding.convexBodySum_compact", "NumberField.mixedEmbedding.convexBodySum_convex", "NumberField.mixedEmbedding.convexBodySum_isBounded", "NumberField.mixedEmbedding.convexBodySum_mem", "NumberField.mixedEmbedding.convexBodySum_neg_mem", "NumberField.mixedEmbedding.convexBodySum_volume", "NumberField.mixedEmbedding.convexBodySum_volume_eq_zero_of_le_zero", "NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_norm", "NumberField.mixedEmbedding.det_matrixToStdBasis", "NumberField.mixedEmbedding.disjoint_span_commMap_ker", "NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_lt", "NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_lt'", "NumberField.mixedEmbedding.exists_ne_zero_mem_ideal_of_norm_le", "NumberField.mixedEmbedding.exists_ne_zero_mem_ringOfIntegers_lt", "NumberField.mixedEmbedding.exists_ne_zero_mem_ringOfIntegers_lt'", "NumberField.mixedEmbedding.exists_ne_zero_mem_ringOfIntegers_of_norm_le", "NumberField.mixedEmbedding.exists_primitive_element_lt_of_isComplex", "NumberField.mixedEmbedding.exists_primitive_element_lt_of_isReal", "NumberField.mixedEmbedding.finrank", "NumberField.mixedEmbedding.fractionalIdealLatticeBasis_apply", "NumberField.mixedEmbedding.fundamentalDomain_stdBasis", "NumberField.mixedEmbedding.indexEquiv_apply_ofIsComplex_fst", "NumberField.mixedEmbedding.indexEquiv_apply_ofIsComplex_snd", "NumberField.mixedEmbedding.latticeBasis_apply", "NumberField.mixedEmbedding.latticeBasis_repr_apply", "NumberField.mixedEmbedding.mem_rat_span_latticeBasis", "NumberField.mixedEmbedding.mem_span_fractionalIdealLatticeBasis", "NumberField.mixedEmbedding.mem_span_latticeBasis", "NumberField.mixedEmbedding.minkowskiBound_lt_top", "NumberField.mixedEmbedding.minkowskiBound_pos", "NumberField.mixedEmbedding.nnnorm_eq_sup_normAtPlace", "NumberField.mixedEmbedding.normAtPlace_add_le", "NumberField.mixedEmbedding.normAtPlace_apply", "NumberField.mixedEmbedding.normAtPlace_apply_isComplex", "NumberField.mixedEmbedding.normAtPlace_apply_isReal", "NumberField.mixedEmbedding.normAtPlace_eq_zero", "NumberField.mixedEmbedding.normAtPlace_neg", "NumberField.mixedEmbedding.normAtPlace_nonneg", "NumberField.mixedEmbedding.normAtPlace_real", "NumberField.mixedEmbedding.normAtPlace_smul", "NumberField.mixedEmbedding.norm_apply", "NumberField.mixedEmbedding.norm_eq_norm", "NumberField.mixedEmbedding.norm_eq_sup'_normAtPlace", "NumberField.mixedEmbedding.norm_eq_zero_iff", "NumberField.mixedEmbedding.norm_eq_zero_iff'", "NumberField.mixedEmbedding.norm_le_convexBodySumFun", "NumberField.mixedEmbedding.norm_ne_zero_iff", "NumberField.mixedEmbedding.norm_real", "NumberField.mixedEmbedding.norm_smul", "NumberField.mixedEmbedding.stdBasis_apply_ofIsComplex_fst", "NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mul", "NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis", "NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis", "NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis", "NumberField.mixedEmbedding_injective", "NumberField.place_apply", "ODE_solution_unique_of_eventually", "ODE_solution_unique_of_mem_Icc", "ODE_solution_unique_of_mem_Icc_left", "ODE_solution_unique_of_mem_Icc_right", "ODE_solution_unique_of_mem_Ioo", "ONote.NF.below_of_lt'", "ONote.NF.fst", "ONote.NF.oadd", "ONote.NF.of_dvd_omega", "ONote.NF.of_dvd_omega_opow", "ONote.NF.snd", "ONote.NF.snd'", "ONote.NF.zero_of_zero", "ONote.NFBelow.fst", "ONote.NFBelow.lt", "ONote.NFBelow.oadd", "ONote.NFBelow.repr_lt", "ONote.NFBelow_zero", "ONote.add_nfBelow", "ONote.cmp_compares", "ONote.eq_of_cmp_eq", "ONote.exists_lt_add", "ONote.exists_lt_mul_omega'", "ONote.exists_lt_omega_opow'", "ONote.fastGrowing_limit", "ONote.fastGrowing_one", "ONote.fastGrowing_two", "ONote.fastGrowing_zero", "ONote.fastGrowing_zero'", "ONote.fastGrowing\u03b5\u2080_one", "ONote.fastGrowing\u03b5\u2080_two", "ONote.fastGrowing\u03b5\u2080_zero", "ONote.fundamentalSequenceProp_inl_none", "ONote.fundamentalSequenceProp_inr", "ONote.fundamentalSequence_has_prop", "ONote.le_def", "ONote.lt_def", "ONote.mulNat_eq_mul", "ONote.nfBelow_iff_topBelow", "ONote.nfBelow_ofNat", "ONote.nf_repr_split", "ONote.nf_repr_split'", "ONote.oadd_add", "ONote.oadd_lt_oadd_1", "ONote.oadd_lt_oadd_2", "ONote.oadd_lt_oadd_3", "ONote.oadd_mul", "ONote.oadd_mul_nfBelow", "ONote.oadd_pos", "ONote.ofNat_one", "ONote.ofNat_succ", "ONote.ofNat_zero", "ONote.omega_le_oadd", "ONote.opow_def", "ONote.repr_add", "ONote.repr_inj", "ONote.repr_mul", "ONote.repr_ofNat", "ONote.repr_one", "ONote.repr_opow", "ONote.repr_opow_aux\u2081", "ONote.repr_opow_aux\u2082", "ONote.repr_scale", "ONote.repr_sub", "ONote.scale_eq_mul", "ONote.scale_opowAux", "ONote.split_add_lt", "ONote.split_dvd", "ONote.split_eq_scale_split'", "ONote.sub_nfBelow", "ONote.zero_add", "ONote.zero_def", "ONote.zero_lt_one", "Odd.add_dvd_pow_add_pow", "Odd.add_odd", "Odd.geom_sum_pos", "Odd.map", "Odd.mod_even", "Odd.mul", "Odd.natCast", "Odd.ne_two_of_dvd_nat", "Odd.neg", "Odd.neg_one_pow", "Odd.neg_pow", "Odd.neg_zpow", "Odd.not_two_dvd_nat", "Odd.pos", "Odd.pow", "Odd.pow_add_pow_eq_zero", "Odd.pow_neg_iff", "Odd.pow_nonpos_iff", "Odd.pow_pos_iff", "Odd.strictMono_pow", "Odd.sub_even", "Odd.sub_odd", "Odd.zpow_neg_iff", "Odd.zpow_nonneg_iff", "Odd.zpow_nonpos_iff", "Odd.zpow_pos_iff", "OfNat.ofNat_eq_ofNat", "OfNat.ofNat_ne_one", "OfNat.ofNat_ne_zero", "OmegaCompletePartialOrder.Chain.isChain_range", "OmegaCompletePartialOrder.Chain.map_coe", "OmegaCompletePartialOrder.Chain.map_comp", "OmegaCompletePartialOrder.Chain.map_id", "OmegaCompletePartialOrder.Chain.mem_map", "OmegaCompletePartialOrder.Chain.mem_map_iff", "OmegaCompletePartialOrder.Chain.zip_coe", "OmegaCompletePartialOrder.Continuous'.to_bundled", "OmegaCompletePartialOrder.Continuous.of_bundled", "OmegaCompletePartialOrder.Continuous.of_bundled'", "OmegaCompletePartialOrder.ContinuousHom.apply_mono", "OmegaCompletePartialOrder.ContinuousHom.bind_continuous'", "OmegaCompletePartialOrder.ContinuousHom.coe_inj", "OmegaCompletePartialOrder.ContinuousHom.coe_mk", "OmegaCompletePartialOrder.ContinuousHom.coe_toOrderHom", "OmegaCompletePartialOrder.ContinuousHom.comp_assoc", "OmegaCompletePartialOrder.ContinuousHom.congr_arg", "OmegaCompletePartialOrder.ContinuousHom.congr_fun", "OmegaCompletePartialOrder.ContinuousHom.continuous", "OmegaCompletePartialOrder.ContinuousHom.ext", "OmegaCompletePartialOrder.ContinuousHom.forall_forall_merge", "OmegaCompletePartialOrder.ContinuousHom.forall_forall_merge'", "OmegaCompletePartialOrder.ContinuousHom.id_comp", "OmegaCompletePartialOrder.ContinuousHom.map_continuous'", "OmegaCompletePartialOrder.ContinuousHom.monotone", "OmegaCompletePartialOrder.ContinuousHom.seq_continuous'", "OmegaCompletePartialOrder.ContinuousHom.\u03c9Sup_apply_\u03c9Sup", "OmegaCompletePartialOrder.ContinuousHom.\u03c9Sup_bind", "OmegaCompletePartialOrder.ContinuousHom.\u03c9Sup_def", "OmegaCompletePartialOrder.ScottContinuous.continuous'", "OmegaCompletePartialOrder.continuous_comp", "OmegaCompletePartialOrder.continuous_const", "OmegaCompletePartialOrder.continuous_id", "OmegaCompletePartialOrder.id_continuous'", "OmegaCompletePartialOrder.isLUB_of_scottContinuous", "OmegaCompletePartialOrder.isLUB_range_\u03c9Sup", "OmegaCompletePartialOrder.\u03c9Sup_eq_of_isLUB", "OmegaCompletePartialOrder.\u03c9Sup_le_iff", "OmegaCompletePartialOrder.\u03c9Sup_le_\u03c9Sup_of_le", "OneHom.coe_coe", "OneHom.coe_comp", "OneHom.coe_copy", "OneHom.coe_mk", "OneHom.comp_apply", "OneHom.comp_assoc", "OneHom.comp_id", "OneHom.comp_one", "OneHom.ext", "OneHom.id_comp", "OneHom.map_one", "OneHom.one_apply", "OneHom.one_comp", "OneHom.toFun_eq_coe", "OneHomClass.bound_of_antilipschitz", "OneMemClass.coe_eq_one", "OneMemClass.coe_one", "OneMemClass.one_def", "OneOneEquiv.congr_left", "OneOneEquiv.le_congr_right", "OneOneEquiv.of_equiv", "OneOneEquiv.symm", "OneOneEquiv.to_many_one", "OneOneEquiv.trans", "OneOneReducible.disjoin_left", "OneOneReducible.mk", "OneOneReducible.of_equiv_symm", "OneOneReducible.to_many_one", "OneOneReducible.trans", "OnePoint.coe_eq_coe", "OnePoint.coe_injective", "OnePoint.coe_ne_infty", "OnePoint.coe_preimage_infty", "OnePoint.comap_coe_nhds", "OnePoint.comap_coe_nhds_infty", "OnePoint.compl_image_coe", "OnePoint.compl_infty", "OnePoint.compl_range_coe", "OnePoint.continuousAt_coe", "OnePoint.continuousAt_infty", "OnePoint.continuousAt_infty'", "OnePoint.continuous_coe", "OnePoint.continuous_iff", "OnePoint.continuous_iff_from_discrete", "OnePoint.continuous_iff_from_nat", "OnePoint.denseEmbedding_coe", "OnePoint.denseRange_coe", "OnePoint.exists", "OnePoint.forall", "OnePoint.hasBasis_nhds_infty", "OnePoint.infty_mem_opensOfCompl", "OnePoint.infty_not_mem_image_coe", "OnePoint.infty_not_mem_range_coe", "OnePoint.inseparable_coe", "OnePoint.inseparable_iff", "OnePoint.insert_infty_range_coe", "OnePoint.isClosed_iff_of_mem", "OnePoint.isClosed_iff_of_not_mem", "OnePoint.isClosed_image_coe", "OnePoint.isClosed_infty", "OnePoint.isOpen_compl_image_coe", "OnePoint.isOpen_def", "OnePoint.isOpen_iff_of_mem", "OnePoint.isOpen_iff_of_mem'", "OnePoint.isOpen_iff_of_not_mem", "OnePoint.isOpen_image_coe", "OnePoint.isOpen_range_coe", "OnePoint.le_nhds_infty", "OnePoint.nhdsWithin_compl_infty_eq", "OnePoint.nhds_coe_eq", "OnePoint.nhds_infty_eq", "OnePoint.not_continuous_cofiniteTopology_of_symm", "OnePoint.not_inseparable_coe_infty", "OnePoint.not_mem_range_coe_iff", "OnePoint.range_coe_inter_infty", "OnePoint.range_coe_union_infty", "OnePoint.tendsto_nhds_infty", "OnePoint.tendsto_nhds_infty'", "OnePoint.ultrafilter_le_nhds_infty", "OpenEmbedding.compatiblePreserving", "OpenEmbedding.functor_isContinuous", "OpenEmbedding.functor_obj_injective", "OpenEmbedding.isLocalHomeomorph", "OpenEmbedding.isOpenMap_iff", "OpenEmbedding.isQuasiSeparated_iff", "OpenEmbedding.locallyCompactSpace", "OpenEmbedding.locallyConnectedSpace", "OpenEmbedding.map_nhdsWithin_preimage_eq", "OpenEmbedding.map_nhds_eq", "OpenEmbedding.measurableEmbedding", "OpenEmbedding.of_comp", "OpenEmbedding.of_comp_iff", "OpenEmbedding.open_iff_image_open", "OpenEmbedding.open_iff_preimage_open", "OpenEmbedding.prod", "OpenEmbedding.quasiSober", "OpenEmbedding.singletonChartedSpace_chartAt_eq", "OpenEmbedding.singleton_hasGroupoid", "OpenEmbedding.singleton_smoothManifoldWithCorners", "OpenEmbedding.tendsto_nhds_iff", "OpenEmbedding.tendsto_nhds_iff'", "OpenEmbedding.toPartialHomeomorph_left_inv", "OpenEmbedding.toPartialHomeomorph_right_inv", "OpenSubgroup.coe_comap", "OpenSubgroup.coe_prod", "OpenSubgroup.coe_top", "OpenSubgroup.isClopen", "OpenSubgroup.isClosed", "OpenSubgroup.isOpen", "OpenSubgroup.mem_inf", "OpenSubgroup.mem_nhds_one", "OpenSubgroup.mem_toOpens", "OpenSubgroup.mem_toSubgroup", "OpenSubgroup.toOpens_inf", "OpenSubgroup.toSubgroup_inf", "OpenSubgroup.toSubgroup_injective", "OpenSubgroup.toSubgroup_le", "OpenSubgroup.toSubgroup_prod", "OpenSubgroup.toSubgroup_sup", "OpenSubgroup.toSubgroup_top", "Opens.pretopology_ofGrothendieck", "Opens.pretopology_toGrothendieck", "Opposite.op_eq_iff_eq_unop", "Opposite.op_injective", "Opposite.op_unop", "Opposite.unop_injective", "Opposite.unop_op", "Opposite.unop_surjective", "Option.Mem.leftUnique", "Option.bind_congr", "Option.bind_congr'", "Option.bind_eq_bind", "Option.bind_eq_bind'", "Option.bind_eq_some", "Option.bind_pmap", "Option.bnot_comp_isNone", "Option.bnot_comp_isSome", "Option.bnot_isNone", "Option.bnot_isSome", "Option.casesOn'_coe", "Option.casesOn'_eq_elim", "Option.casesOn'_none", "Option.choice_eq_none", "Option.coe_def", "Option.coe_get", "Option.comp_traverse", "Option.elim_apply", "Option.elim_comp", "Option.elim_comp\u2082", "Option.elim_none_some", "Option.eq_none_iff_forall_not_mem", "Option.eq_none_or_eq_some", "Option.eq_of_mem_of_mem", "Option.exists_mem_map", "Option.exists_ne_none", "Option.forall", "Option.get!_none", "Option.get!_some", "Option.getD_default_eq_iget", "Option.guard_eq_some'", "Option.iget_mem", "Option.iget_of_mem", "Option.iget_some", "Option.injective_iff", "Option.isSome_map", "Option.joinM_eq_join", "Option.join_pmap_eq_pmap_join", "Option.liftOrGet_choice", "Option.map_bind", "Option.map_bind'", "Option.map_coe'", "Option.map_comm", "Option.map_comp_some", "Option.map_eq_bind", "Option.map_eq_map", "Option.map_id", "Option.map_inj", "Option.map_injective", "Option.map_injective'", "Option.map_map", "Option.map_map\u2082_antidistrib", "Option.map_map\u2082_antidistrib_left", "Option.map_map\u2082_antidistrib_right", "Option.map_map\u2082_right_comm", "Option.map_none'", "Option.map_pbind", "Option.map_pmap", "Option.map_some'", "Option.map_uncurry", "Option.map\u2082_assoc", "Option.map\u2082_coe_coe", "Option.map\u2082_coe_left", "Option.map\u2082_coe_right", "Option.map\u2082_comm", "Option.map\u2082_curry", "Option.map\u2082_def", "Option.map\u2082_eq_none_iff", "Option.map\u2082_left_identity", "Option.map\u2082_map_left_comm", "Option.map\u2082_map_right", "Option.map\u2082_none_left", "Option.map\u2082_none_right", "Option.map\u2082_right_comm", "Option.map\u2082_right_identity", "Option.map\u2082_some_some", "Option.map\u2082_swap", "Option.mem_def", "Option.mem_map", "Option.mem_map\u2082_iff", "Option.mem_pmem", "Option.mem_some_iff", "Option.mem_toFinset", "Option.mem_toList", "Option.mem_unique", "Option.naturality", "Option.none_bind", "Option.none_bind'", "Option.none_orElse", "Option.not_mem_none", "Option.orElse_eq_none", "Option.orElse_eq_some", "Option.orElse_none'", "Option.pbind_eq_bind", "Option.pbind_eq_none", "Option.pbind_eq_some", "Option.pmap_bind", "Option.pmap_eq_map", "Option.pmap_eq_none_iff", "Option.pmap_eq_some_iff", "Option.pmap_map", "Option.range_eq", "Option.seq_some", "Option.smul_def", "Option.smul_none", "Option.smul_some", "Option.some_bind", "Option.some_bind'", "Option.some_inj", "Option.some_injective", "Option.some_orElse", "Option.some_orElse'", "Option.toFinset_none", "Option.toFinset_some", "Option.toList_nodup", "Option.toList_some", "Option.traverse_eq_map_id", "OptionT.ext", "OptionT.run_map", "OptionT.run_monadMap", "OptionT.run_pure", "Or.elim", "Or.elim3", "Or.imp", "Or.imp_right", "Or.intro_left", "Or.intro_right", "Or.resolve_left", "Or.resolve_right", "Order.Cofinal.above_mem", "Order.Cofinal.le_above", "Order.Icc_pred_left", "Order.Icc_pred_right_of_not_isMin", "Order.Icc_succ_left", "Order.Icc_succ_left_of_not_isMax", "Order.Icc_succ_right", "Order.Ici_pred", "Order.Ici_succ", "Order.Ici_succ_of_not_isMax", "Order.Ico_pred_left", "Order.Ico_pred_right_eq_insert", "Order.Ico_succ_left", "Order.Ico_succ_left_of_not_isMax", "Order.Ico_succ_right", "Order.Ico_succ_right_eq_insert", "Order.Ico_succ_right_eq_insert_of_not_isMax", "Order.Ico_succ_right_of_not_isMax", "Order.Ideal.IsMaximal.isCoatom", "Order.Ideal.IsMaximal.isCoatom'", "Order.Ideal.IsPrime.mem_compl_of_not_mem", "Order.Ideal.IsPrime.mem_or_mem", "Order.Ideal.IsPrime.of_mem_or_mem", "Order.Ideal.IsProper.ne_top", "Order.Ideal.IsProper.not_mem_of_compl_mem", "Order.Ideal.IsProper.not_mem_or_compl_not_mem", "Order.Ideal.IsProper.top_not_mem", "Order.Ideal.PrimePair.F_union_I", "Order.Ideal.PrimePair.I_isPrime", "Order.Ideal.PrimePair.I_union_F", "Order.Ideal.PrimePair.compl_F_eq_I", "Order.Ideal.PrimePair.compl_I_eq_F", "Order.Ideal.PrimePair.disjoint", "Order.Ideal.carrier_eq_coe", "Order.Ideal.coe_inf", "Order.Ideal.coe_sInf", "Order.Ideal.coe_ssubset_coe", "Order.Ideal.coe_sup", "Order.Ideal.coe_sup_eq", "Order.Ideal.directed", "Order.Ideal.eq_sup_of_le_sup", "Order.Ideal.ext", "Order.Ideal.inter_nonempty", "Order.Ideal.isPrime_iff_mem_or_mem", "Order.Ideal.isPrime_of_mem_or_compl_mem", "Order.Ideal.isProper_iff_ne_top", "Order.Ideal.isProper_of_ne_top", "Order.Ideal.isProper_of_not_mem", "Order.Ideal.lower", "Order.Ideal.lt_sup_principal_of_not_mem", "Order.Ideal.mem_of_mem_of_le", "Order.Ideal.mem_principal_self", "Order.Ideal.mem_sInf", "Order.Ideal.mem_sup", "Order.Ideal.nonempty", "Order.Ideal.principal_top", "Order.Ideal.sup_mem_iff", "Order.Ideal.toLowerSet_injective", "Order.Ideal.top_of_top_mem", "Order.Ideal.top_toLowerSet", "Order.Iic_pred_of_not_isMin", "Order.Iic_succ", "Order.Iio_succ", "Order.Iio_succ_eq_insert", "Order.Iio_succ_eq_insert_of_not_isMax", "Order.Iio_succ_of_not_isMax", "Order.Ioc_pred_left_of_not_isMin", "Order.Ioc_pred_right", "Order.Ioc_pred_right_of_not_isMin", "Order.Ioc_succ_right", "Order.Ioi_pred", "Order.Ioi_pred_eq_insert", "Order.Ioi_pred_eq_insert_of_not_isMin", "Order.Ioi_pred_of_not_isMin", "Order.Ioo_pred_left", "Order.Ioo_pred_left_of_not_isMin", "Order.Ioo_pred_right_eq_insert", "Order.Ioo_succ_right_eq_insert_of_not_isMax", "Order.Ioo_succ_right_of_not_isMax", "Order.IsPredLimit.isMax", "Order.IsPredLimit.isMin", "Order.IsPredLimit.lt_pred", "Order.IsPredLimit.lt_pred_iff", "Order.IsPredLimit.pred_ne", "Order.IsSuccLimit.isMin", "Order.IsSuccLimit.isMin_of_noMax", "Order.IsSuccLimit.succ_lt", "Order.IsSuccLimit.succ_lt_iff", "Order.PFilter.directed", "Order.PFilter.inf_mem", "Order.PFilter.mem_of_mem_of_le", "Order.PFilter.mem_principal", "Order.PFilter.nonempty", "Order.PFilter.principal_le_iff", "Order.PFilter.sInf_gc", "Order.PFilter.top_mem", "Order.PartialIso.exists_across", "Order.bot_lt_succ", "Order.cof_nonempty", "Order.embedding_from_countable_to_dense", "Order.exists_between_finsets", "Order.isIdeal_sUnion_of_directedOn", "Order.isIdeal_sUnion_of_isChain", "Order.isMax_iterate_succ_of_eq_of_lt", "Order.isMax_iterate_succ_of_eq_of_ne", "Order.isMin_iterate_pred_of_eq_of_lt", "Order.isMin_iterate_pred_of_eq_of_ne", "Order.isPredLimit_iff", "Order.isPredLimit_iff_lt_pred", "Order.isPredLimit_iff_of_noMin", "Order.isPredLimit_of_dense", "Order.isPredLimit_of_pred_lt", "Order.isPredLimit_of_pred_ne", "Order.isPredLimit_top", "Order.isSuccLimitRecOn_limit", "Order.isSuccLimitRecOn_succ", "Order.isSuccLimitRecOn_succ'", "Order.isSuccLimit_bot", "Order.isSuccLimit_iff", "Order.isSuccLimit_iff_of_noMax", "Order.isSuccLimit_iff_succ_lt", "Order.isSuccLimit_iff_succ_ne", "Order.isSuccLimit_of_succ_lt", "Order.isSuccLimit_of_succ_ne", "Order.isSuccLimit_toDual_iff", "Order.iso_of_countable_dense", "Order.le_cof", "Order.le_le_succ_iff", "Order.le_of_lt_succ", "Order.le_of_pred_lt", "Order.le_pred_iff", "Order.le_pred_iff_eq_bot", "Order.le_pred_iff_isMin", "Order.le_pred_iff_of_not_isMin", "Order.le_succ", "Order.le_succ_bot_iff", "Order.le_succ_iff_eq_or_le", "Order.le_succ_iterate", "Order.lt_succ", "Order.lt_succ_bot_iff", "Order.lt_succ_iff", "Order.lt_succ_iff_eq_or_lt", "Order.lt_succ_iff_eq_or_lt_of_not_isMax", "Order.lt_succ_iff_ne_top", "Order.lt_succ_iff_not_isMax", "Order.lt_succ_iff_of_not_isMax", "Order.max_of_succ_le", "Order.mem_idealOfCofinals", "Order.mem_range_pred_of_not_isPredLimit", "Order.mem_range_succ_of_not_isSuccLimit", "Order.min_of_le_pred", "Order.not_isPredLimit", "Order.not_isPredLimit_iff_exists_covBy", "Order.not_isPredLimit_pred", "Order.not_isSuccLimit", "Order.not_isSuccLimit_iff", "Order.not_isSuccLimit_iff'", "Order.not_isSuccLimit_of_noMax", "Order.not_isSuccLimit_succ_of_not_isMax", "Order.pred_bot", "Order.pred_covBy", "Order.pred_covBy_of_not_isMin", "Order.pred_eq_iSup", "Order.pred_eq_iff_covBy", "Order.pred_eq_pred_iff", "Order.pred_eq_pred_iff_of_not_isMin", "Order.pred_injective", "Order.pred_iterate_le", "Order.pred_le", "Order.pred_le_iff_eq_or_le", "Order.pred_le_le_iff", "Order.pred_le_pred_iff", "Order.pred_le_pred_iff_of_not_isMin", "Order.pred_lt", "Order.pred_lt_iff", "Order.pred_lt_iff_eq_or_lt", "Order.pred_lt_iff_eq_or_lt_of_not_isMin", "Order.pred_lt_iff_of_not_isMin", "Order.pred_lt_pred_iff", "Order.pred_lt_pred_of_not_isMin", "Order.pred_lt_top", "Order.pred_mono", "Order.pred_strictMono", "Order.pred_succ_iterate_of_not_isMax", "Order.pred_top_le_iff", "Order.pred_top_lt_iff", "Order.radical_nongenerating", "Order.sequenceOfCofinals.encode_mem", "Order.sequenceOfCofinals.monotone", "Order.succ_eq_iInf", "Order.succ_eq_iff_covBy", "Order.succ_eq_iff_isMax", "Order.succ_eq_succ_iff", "Order.succ_eq_succ_iff_of_not_isMax", "Order.succ_le_iff", "Order.succ_le_iff_eq_top", "Order.succ_le_iff_isMax", "Order.succ_le_iff_of_not_isMax", "Order.succ_le_of_lt", "Order.succ_le_succ", "Order.succ_le_succ_iff", "Order.succ_le_succ_iff_of_not_isMax", "Order.succ_lt_succ_iff", "Order.succ_lt_succ_iff_of_not_isMax", "Order.succ_lt_succ_of_not_isMax", "Order.succ_mono", "Order.succ_ne_bot", "Order.succ_ne_succ_iff", "Order.succ_pred", "Order.succ_pred_of_not_isMin", "Order.succ_strictMono", "Order.succ_top", "OrderBot.bddBelow", "OrderBot.ext_bot", "OrderBot.lowerBounds_univ", "OrderDual.Preorder.dual_dual", "OrderDual.exists", "OrderDual.forall", "OrderDual.instPartialOrder.dual_dual", "OrderDual.isBounded_preimage_ofDual", "OrderDual.isBounded_preimage_toDual", "OrderDual.le_toDual", "OrderDual.lt_toDual", "OrderDual.ofDual_lt_ofDual", "OrderDual.ofDual_symm_eq", "OrderDual.ofDual_toDual", "OrderDual.ofDual_top", "OrderDual.toDual_bot", "OrderDual.toDual_inj", "OrderDual.toDual_lt", "OrderDual.toDual_lt_toDual", "OrderDual.toDual_ofDual", "OrderDual.toDual_symm_eq", "OrderEmbedding.acc", "OrderEmbedding.birkhoffFinset_inf", "OrderEmbedding.birkhoffFinset_sup", "OrderEmbedding.birkhoffSet_apply", "OrderEmbedding.birkhoffSet_inf", "OrderEmbedding.birkhoffSet_sup", "OrderEmbedding.coe_birkhoffFinset", "OrderEmbedding.eq_iff_eq", "OrderEmbedding.image_Icc", "OrderEmbedding.image_Ici", "OrderEmbedding.image_Ico", "OrderEmbedding.image_Iic", "OrderEmbedding.image_Ioc", "OrderEmbedding.image_Ioi", "OrderEmbedding.image_Ioo", "OrderEmbedding.infIrredUpperSet_apply", "OrderEmbedding.infIrredUpperSet_surjective", "OrderEmbedding.isAtom_of_map_bot_of_image", "OrderEmbedding.isWellOrder", "OrderEmbedding.le_iff_le", "OrderEmbedding.le_map_sup", "OrderEmbedding.map_inf_le", "OrderEmbedding.monotone", "OrderEmbedding.preimage_Iic", "OrderEmbedding.preimage_Ioi", "OrderEmbedding.preimage_uIcc", "OrderEmbedding.preimage_uIoc", "OrderEmbedding.strictMono", "OrderEmbedding.supIrredLowerSet_apply", "OrderEmbedding.supIrredLowerSet_surjective", "OrderEmbedding.wellFounded", "OrderHom.antisymmetrization_apply_mk", "OrderHom.apply_mono", "OrderHom.coe_antisymmetrization", "OrderHom.coe_eq", "OrderHom.coe_iInf", "OrderHom.coe_mk", "OrderHom.coe_sup", "OrderHom.comp_const", "OrderHom.comp_id", "OrderHom.comp_prod_comp_same", "OrderHom.const_comp", "OrderHom.curry_apply", "OrderHom.dual_comp", "OrderHom.dual_id", "OrderHom.ext", "OrderHom.fst_comp_prod", "OrderHom.fst_prod_snd", "OrderHom.gfp_const_inf_le", "OrderHom.gfp_le_map", "OrderHom.iInf_apply", "OrderHom.iSup_apply", "OrderHom.isFixedPt_gfp", "OrderHom.isGreatest_gfp", "OrderHom.isGreatest_gfp_le", "OrderHom.isLeast_lfp", "OrderHom.isLeast_lfp_le", "OrderHom.iterate_sup_le_sup_iff", "OrderHom.le_def", "OrderHom.le_gfp", "OrderHom.le_prevFixed", "OrderHom.lfp_induction", "OrderHom.lfp_le_fixed", "OrderHom.lfp_le_map", "OrderHom.lfp_lfp", "OrderHom.map_gfp", "OrderHom.map_inf_fixedPoints_le", "OrderHom.map_lfp_comp", "OrderHom.mk_le_mk", "OrderHom.mono", "OrderHom.monotone", "OrderHom.nextFixed_le", "OrderHom.nextFixed_le_iff", "OrderHom.orderHom_eq_id", "OrderHom.prevFixed_le", "OrderHom.symm_dual_comp", "OrderHom.symm_dual_id", "OrderHom.toFun_eq_coe", "OrderHomClass.mono", "OrderIso.apply_eq_iff_eq", "OrderIso.apply_eq_iff_eq_symm_apply", "OrderIso.apply_symm_apply", "OrderIso.bddAbove_preimage", "OrderIso.bddBelow_image", "OrderIso.bijective", "OrderIso.coe_dualDual", "OrderIso.coe_dualDual_symm", "OrderIso.coe_refl", "OrderIso.coe_toHomeomorph", "OrderIso.coe_toOrderEmbedding", "OrderIso.coe_trans", "OrderIso.comap_atTop", "OrderIso.concaveOn_symm", "OrderIso.continuous", "OrderIso.convexOn_symm", "OrderIso.dualAntisymmetrization_apply", "OrderIso.dualDual_symm_apply", "OrderIso.essSup_apply", "OrderIso.ext", "OrderIso.funUnique_symm_apply", "OrderIso.image_Icc", "OrderIso.image_Ici", "OrderIso.image_Ico", "OrderIso.image_Iic", "OrderIso.image_Ioi", "OrderIso.image_Ioo", "OrderIso.image_symm_image", "OrderIso.infIrredUpperSet_apply", "OrderIso.infIrredUpperSet_symm_apply", "OrderIso.injective", "OrderIso.invENNReal_symm_apply", "OrderIso.isAtomic_iff", "OrderIso.isBoundedUnder_ge_comp", "OrderIso.isBoundedUnder_le_comp", "OrderIso.isCoatom_iff", "OrderIso.isCoatomic_iff", "OrderIso.isCompl", "OrderIso.isCompl_iff", "OrderIso.isGLB_image", "OrderIso.isGLB_image'", "OrderIso.isGLB_preimage", "OrderIso.isGLB_preimage'", "OrderIso.isLUB_image'", "OrderIso.isLUB_preimage", "OrderIso.isSimpleOrder", "OrderIso.isSimpleOrder_iff", "OrderIso.le_iff_le", "OrderIso.le_symm_apply", "OrderIso.liminf_apply", "OrderIso.limsup_apply", "OrderIso.lowerBounds_image", "OrderIso.map_atTop", "OrderIso.map_bot'", "OrderIso.map_ciSup", "OrderIso.map_ciSup_set", "OrderIso.map_csInf", "OrderIso.map_csInf'", "OrderIso.map_csSup", "OrderIso.map_iInf", "OrderIso.map_iSup", "OrderIso.map_mem_maximals", "OrderIso.map_mem_minimals", "OrderIso.map_radical", "OrderIso.map_sInf", "OrderIso.map_sInf_eq_sInf_symm_preimage", "OrderIso.map_sSup", "OrderIso.map_sSup_eq_sSup_symm_preimage", "OrderIso.map_top", "OrderIso.map_tsub", "OrderIso.monotone", "OrderIso.mulLeft_symm", "OrderIso.mulLeft\u2080'_symm", "OrderIso.ofRelIsoLT_symm", "OrderIso.pnatIsoNat_symm_apply", "OrderIso.preimage_Icc", "OrderIso.preimage_Ici", "OrderIso.preimage_Ico", "OrderIso.preimage_Ioc", "OrderIso.preimage_Ioo", "OrderIso.preimage_image", "OrderIso.preimage_symm_preimage", "OrderIso.prodComm_symm", "OrderIso.refl_toEquiv", "OrderIso.refl_trans", "OrderIso.rightOrdContinuous", "OrderIso.self_trans_symm", "OrderIso.strictConcaveOn_symm", "OrderIso.strictConvexOn_symm", "OrderIso.strictMono", "OrderIso.sumAssoc_apply_inl_inl", "OrderIso.sumAssoc_symm_apply_inl", "OrderIso.sumAssoc_symm_apply_inr_inr", "OrderIso.sumComm_symm", "OrderIso.sumDualDistrib_symm_inl", "OrderIso.sumDualDistrib_symm_inr", "OrderIso.sumLexAssoc_apply_inl_inl", "OrderIso.sumLexAssoc_apply_inl_inr", "OrderIso.sumLexAssoc_symm_apply_inl", "OrderIso.sumLexAssoc_symm_apply_inr_inl", "OrderIso.sumLexAssoc_symm_apply_inr_inr", "OrderIso.sumLexDualAntidistrib_inr", "OrderIso.sumLexDualAntidistrib_symm_inl", "OrderIso.sumLexDualAntidistrib_symm_inr", "OrderIso.supIrredLowerSet_symm_apply", "OrderIso.surjective", "OrderIso.symm_apply_apply", "OrderIso.symm_apply_eq", "OrderIso.symm_image_image", "OrderIso.symm_preimage_preimage", "OrderIso.symm_refl", "OrderIso.symm_trans_apply", "OrderIso.tendsto_atBot", "OrderIso.tendsto_atBot_iff", "OrderIso.tendsto_atTop", "OrderIso.tendsto_atTop_iff", "OrderIso.toRelIsoLT_apply", "OrderIso.toRelIsoLT_symm", "OrderIso.to_galoisConnection", "OrderIso.trans_apply", "OrderIso.trans_refl", "OrderIso.upperBounds_image", "OrderIso.withBotCongr_refl", "OrderIso.withBotCongr_symm", "OrderIso.withTopCongr_refl", "OrderMonoidHom.cancel_left", "OrderMonoidHom.cancel_right", "OrderMonoidHom.coe_comp", "OrderMonoidHom.coe_comp_monoidHom", "OrderMonoidHom.coe_copy", "OrderMonoidHom.coe_id", "OrderMonoidHom.coe_mul", "OrderMonoidHom.coe_orderHom", "OrderMonoidHom.comp_apply", "OrderMonoidHom.comp_assoc", "OrderMonoidHom.comp_id", "OrderMonoidHom.copy_eq", "OrderMonoidHom.ext", "OrderMonoidHom.id_comp", "OrderMonoidHom.mk_coe", "OrderMonoidHom.mul_apply", "OrderMonoidHom.mul_comp", "OrderMonoidHom.one_apply", "OrderMonoidHom.toFun_eq_coe", "OrderMonoidHom.toMonoidHom_eq_coe", "OrderMonoidHom.toMonoidHom_injective", "OrderMonoidHom.toOrderHom_eq_coe", "OrderMonoidHom.toOrderHom_injective", "OrderMonoidWithZeroHom.cancel_left", "OrderMonoidWithZeroHom.coe_comp", "OrderMonoidWithZeroHom.coe_comp_monoidWithZeroHom", "OrderMonoidWithZeroHom.coe_id", "OrderMonoidWithZeroHom.coe_monoidWithZeroHom", "OrderMonoidWithZeroHom.coe_mul", "OrderMonoidWithZeroHom.comp_apply", "OrderMonoidWithZeroHom.comp_assoc", "OrderMonoidWithZeroHom.comp_id", "OrderMonoidWithZeroHom.copy_eq", "OrderMonoidWithZeroHom.ext", "OrderMonoidWithZeroHom.id_comp", "OrderMonoidWithZeroHom.mul_apply", "OrderMonoidWithZeroHom.mul_comp", "OrderMonoidWithZeroHom.toMonoidWithZeroHom_injective", "OrderRingHom.coe_coe_orderAddMonoidHom", "OrderRingHom.coe_coe_ringHom", "OrderRingHom.coe_comp", "OrderRingHom.coe_orderAddMonoidHom_apply", "OrderRingHom.coe_orderMonoidWithZeroHom_apply", "OrderRingHom.coe_orderMonoidWithZeroHom_id", "OrderRingHom.coe_ringHom_apply", "OrderRingHom.coe_ringHom_id", "OrderRingHom.comp_apply", "OrderRingHom.comp_assoc", "OrderRingHom.comp_id", "OrderRingHom.ext", "OrderRingHom.id_comp", "OrderRingHom.toFun_eq_coe", "OrderRingHom.toOrderMonoidWithZeroHom_eq_coe", "OrderRingIso.coe_toOrderIso", "OrderRingIso.coe_toOrderRingHom_refl", "OrderRingIso.coe_toRingEquiv", "OrderRingIso.mk_coe", "OrderRingIso.refl_apply", "OrderRingIso.self_trans_symm", "OrderRingIso.symm_bijective", "OrderRingIso.toFun_eq_coe", "OrderRingIso.toOrderIso_eq_coe", "OrderRingIso.toOrderRingHom_eq_coe", "OrderRingIso.toOrderRingHom_injective", "OrderRingIso.toRingEquiv_eq_coe", "OrderRingIso.trans_apply", "OrderRingIso.trans_toRingEquiv", "OrderRingIso.trans_toRingEquiv_aux", "OrderTop.bddAbove", "OrderTop.ext_top", "OrderTop.tendsto_atTop_nhds", "OrderTop.upperBounds_univ", "OrderedCancelCommMonoid.toContravariantClassRight", "OrderedCommGroup.to_contravariantClass_left_le", "OrderedCommGroup.to_contravariantClass_right_le", "OrderedSMul.mk'", "OrderedSMul.mk''", "Ordering.Compares.cmp_eq", "Ordering.Compares.eq_eq", "Ordering.Compares.eq_gt", "Ordering.Compares.eq_lt", "Ordering.Compares.inj", "Ordering.Compares.ne_lt", "Ordering.compares_gt", "Ordering.compares_iff_of_compares_impl", "Ordering.compares_swap", "Ordering.ite_eq_lt_distrib", "Ordering.swap_eq_iff_eq_swap", "Ordering.swap_inj", "Ordering.swap_orElse", "Ordering.swap_swap", "Ordering.then_eq_gt", "Ordinal.CNFRec_pos", "Ordinal.CNFRec_zero", "Ordinal.CNF_foldr", "Ordinal.CNF_fst_le", "Ordinal.CNF_fst_le_log", "Ordinal.CNF_lt_snd", "Ordinal.CNF_ne_zero", "Ordinal.CNF_of_le_one", "Ordinal.CNF_of_lt", "Ordinal.CNF_snd_lt", "Ordinal.CNF_sorted", "Ordinal.CNF_zero", "Ordinal.Cardinal.mk_iUnion_Ordinal_le_of_le", "Ordinal.IsFundamentalSequence.cof_eq", "Ordinal.IsFundamentalSequence.monotone", "Ordinal.IsFundamentalSequence.succ", "Ordinal.IsFundamentalSequence.trans", "Ordinal.IsFundamentalSequence.zero", "Ordinal.IsLimit.isSuccLimit", "Ordinal.IsLimit.nat_lt", "Ordinal.IsLimit.one_lt", "Ordinal.IsLimit.pos", "Ordinal.IsLimit.succ_lt", "Ordinal.IsNormal.apply_le_nfp", "Ordinal.IsNormal.apply_lt_nfp", "Ordinal.IsNormal.blsub_eq", "Ordinal.IsNormal.bsup", "Ordinal.IsNormal.bsup_eq", "Ordinal.IsNormal.cof_eq", "Ordinal.IsNormal.cof_le", "Ordinal.IsNormal.deriv_fp", "Ordinal.IsNormal.eq_iff_zero_and_succ", "Ordinal.IsNormal.fp_iff_deriv", "Ordinal.IsNormal.inj", "Ordinal.IsNormal.isFundamentalSequence", "Ordinal.IsNormal.le_iff", "Ordinal.IsNormal.le_iff_deriv", "Ordinal.IsNormal.le_set", "Ordinal.IsNormal.limit_le", "Ordinal.IsNormal.limit_lt", "Ordinal.IsNormal.lt_iff", "Ordinal.IsNormal.monotone", "Ordinal.IsNormal.nfp_fp", "Ordinal.IsNormal.nfp_le_apply", "Ordinal.IsNormal.refl", "Ordinal.IsNormal.self_le", "Ordinal.IsNormal.strictMono", "Ordinal.IsNormal.sup", "Ordinal.IsNormal.trans", "Ordinal.Principal.iterate_lt", "Ordinal.add_absorp", "Ordinal.add_eq_right_iff_mul_omega_le", "Ordinal.add_eq_zero_iff", "Ordinal.add_isLimit", "Ordinal.add_isNormal", "Ordinal.add_le_add_iff_right", "Ordinal.add_le_nadd", "Ordinal.add_le_of_forall_add_lt", "Ordinal.add_le_of_limit", "Ordinal.add_le_right_iff_mul_omega_le", "Ordinal.add_left_cancel", "Ordinal.add_log_le_log_mul", "Ordinal.add_lt_add_iff_left'", "Ordinal.add_mul_limit", "Ordinal.add_mul_limit_aux", "Ordinal.add_mul_succ", "Ordinal.add_omega", "Ordinal.add_omega_opow", "Ordinal.add_one_eq_succ", "Ordinal.add_right_cancel", "Ordinal.add_sub_cancel", "Ordinal.add_sub_cancel_of_le", "Ordinal.add_succ", "Ordinal.aleph0_le_cof", "Ordinal.apply_le_nfpBFamily", "Ordinal.apply_le_nfpFamily", "Ordinal.apply_lt_nfpBFamily", "Ordinal.apply_lt_nfpBFamily_iff", "Ordinal.apply_lt_nfpFamily_iff", "Ordinal.bddAbove_iff_small", "Ordinal.bddAbove_of_small", "Ordinal.bddAbove_range", "Ordinal.bfamilyOfFamily'_typein", "Ordinal.bfamilyOfFamily_typein", "Ordinal.blsub_congr", "Ordinal.blsub_eq_lsub", "Ordinal.blsub_eq_lsub'", "Ordinal.blsub_eq_zero_iff", "Ordinal.blsub_le_bsup_succ", "Ordinal.blsub_le_enumOrd", "Ordinal.blsub_le_iff", "Ordinal.blsub_le_of_brange_subset", "Ordinal.blsub_nadd_of_mono", "Ordinal.blsub_one", "Ordinal.blsub_type", "Ordinal.bmex_lt_ord_succ_card", "Ordinal.bmex_monotone", "Ordinal.bmex_not_mem_brange", "Ordinal.bounded_singleton", "Ordinal.brange_bfamilyOfFamily'", "Ordinal.brange_const", "Ordinal.bsup_comp", "Ordinal.bsup_const", "Ordinal.bsup_eq_blsub", "Ordinal.bsup_eq_blsub_iff_lt_bsup", "Ordinal.bsup_eq_blsub_iff_succ", "Ordinal.bsup_eq_blsub_of_lt_succ_limit", "Ordinal.bsup_eq_blsub_or_succ_bsup_eq_blsub", "Ordinal.bsup_eq_bsup", "Ordinal.bsup_eq_of_brange_eq", "Ordinal.bsup_eq_sup'", "Ordinal.bsup_eq_zero_iff", "Ordinal.bsup_id_limit", "Ordinal.bsup_le", "Ordinal.bsup_le_blsub", "Ordinal.bsup_le_iff", "Ordinal.bsup_le_of_brange_subset", "Ordinal.bsup_lt_ord", "Ordinal.bsup_lt_ord_lift", "Ordinal.bsup_not_succ_of_ne_bsup", "Ordinal.bsup_one", "Ordinal.bsup_succ_le_blsub", "Ordinal.bsup_succ_of_mono", "Ordinal.card_add", "Ordinal.card_eq_nat", "Ordinal.card_eq_zero", "Ordinal.card_le_card", "Ordinal.card_le_ofNat", "Ordinal.card_le_one", "Ordinal.card_lt_nat", "Ordinal.card_lt_ofNat", "Ordinal.card_mem_cof", "Ordinal.card_nat", "Ordinal.card_omega", "Ordinal.card_one", "Ordinal.card_succ", "Ordinal.card_type", "Ordinal.card_univ", "Ordinal.cof_add", "Ordinal.cof_blsub_le", "Ordinal.cof_bsup_le", "Ordinal.cof_cof", "Ordinal.cof_eq", "Ordinal.cof_eq'", "Ordinal.cof_eq_one_iff_is_succ", "Ordinal.cof_eq_sInf_lsub", "Ordinal.cof_eq_zero", "Ordinal.cof_le_card", "Ordinal.cof_lsub_def_nonempty", "Ordinal.cof_lsub_le", "Ordinal.cof_lsub_le_lift", "Ordinal.cof_succ", "Ordinal.cof_sup_le", "Ordinal.cof_univ", "Ordinal.cof_zero", "Ordinal.comp_familyOfBFamily", "Ordinal.comp_familyOfBFamily'", "Ordinal.derivBFamily_eq_enumOrd", "Ordinal.derivBFamily_fp", "Ordinal.derivBFamily_isNormal", "Ordinal.derivFamily_eq_enumOrd", "Ordinal.derivFamily_fp", "Ordinal.derivFamily_isNormal", "Ordinal.derivFamily_limit", "Ordinal.derivFamily_succ", "Ordinal.derivFamily_zero", "Ordinal.deriv_add_eq_mul_omega_add", "Ordinal.deriv_eq_derivFamily", "Ordinal.deriv_eq_enumOrd", "Ordinal.deriv_id_of_nfp_id", "Ordinal.deriv_limit", "Ordinal.deriv_mul_eq_opow_omega_mul", "Ordinal.deriv_mul_zero", "Ordinal.deriv_succ", "Ordinal.deriv_zero", "Ordinal.div_add_mod", "Ordinal.div_def", "Ordinal.div_eq_zero_of_lt", "Ordinal.div_le", "Ordinal.div_le_of_le_mul", "Ordinal.div_lt", "Ordinal.div_mul_cancel", "Ordinal.div_nonempty", "Ordinal.div_one", "Ordinal.div_opow_log_lt", "Ordinal.div_opow_log_pos", "Ordinal.div_pos", "Ordinal.div_self", "Ordinal.div_zero", "Ordinal.dvd_add_iff", "Ordinal.dvd_antisymm", "Ordinal.dvd_iff_mod_eq_zero", "Ordinal.dvd_of_mod_eq_zero", "Ordinal.enumOrd_def", "Ordinal.enumOrd_def'", "Ordinal.enumOrd_def'_nonempty", "Ordinal.enumOrd_isNormal_iff_isClosed", "Ordinal.enumOrd_le_of_subset", "Ordinal.enumOrd_mem", "Ordinal.enumOrd_mem_aux", "Ordinal.enumOrd_range", "Ordinal.enumOrd_strictMono", "Ordinal.enumOrd_succ_le", "Ordinal.enumOrd_surjective", "Ordinal.enumOrd_univ", "Ordinal.enumOrd_zero", "Ordinal.enum_inj", "Ordinal.enum_le_enum", "Ordinal.enum_lt_enum", "Ordinal.enum_succ_eq_top", "Ordinal.enum_typein", "Ordinal.enum_zero_eq_bot", "Ordinal.enum_zero_le", "Ordinal.enum_zero_le'", "Ordinal.eq_enumOrd", "Ordinal.eq_zero_of_out_empty", "Ordinal.eq_zero_or_opow_omega_le_of_mul_eq_right", "Ordinal.eq_zero_or_pos", "Ordinal.exists_blsub_cof", "Ordinal.exists_fundamental_sequence", "Ordinal.exists_lsub_cof", "Ordinal.exists_lt_add_of_not_principal_add", "Ordinal.exists_of_lt_bmex", "Ordinal.familyOfBFamily'_enum", "Ordinal.familyOfBFamily_enum", "Ordinal.foldr_le_nfpFamily", "Ordinal.fp_bfamily_unbounded", "Ordinal.fp_family_unbounded", "Ordinal.fp_iff_derivBFamily", "Ordinal.fp_iff_derivFamily", "Ordinal.fp_unbounded", "Ordinal.has_succ_of_type_succ_lt", "Ordinal.iSup_lt", "Ordinal.iSup_lt_lift", "Ordinal.iSup_ord", "Ordinal.induction", "Ordinal.inductionOn", "Ordinal.infinite_pigeonhole", "Ordinal.infinite_pigeonhole_card", "Ordinal.infinite_pigeonhole_set", "Ordinal.isClosed_iff_bsup", "Ordinal.isClosed_iff_sup", "Ordinal.isLimit_add_iff", "Ordinal.isLimit_iff_omega_dvd", "Ordinal.isLimit_of_mem_frontier", "Ordinal.isNormal_iff_lt_succ_and_blsub_eq", "Ordinal.isNormal_iff_lt_succ_and_bsup_eq", "Ordinal.isNormal_iff_strictMono_and_continuous", "Ordinal.isNormal_iff_strictMono_limit", "Ordinal.isOpen_iff", "Ordinal.isOpen_singleton_iff", "Ordinal.isSuccLimit_zero", "Ordinal.iterate_le_nfp", "Ordinal.le_add_left", "Ordinal.le_add_right", "Ordinal.le_add_sub", "Ordinal.le_bmex_of_forall", "Ordinal.le_bsup", "Ordinal.le_cof_iff_blsub", "Ordinal.le_cof_iff_lsub", "Ordinal.le_div", "Ordinal.le_enum_succ", "Ordinal.le_iff_derivBFamily", "Ordinal.le_iff_derivFamily", "Ordinal.le_mex_of_forall", "Ordinal.le_mul_left", "Ordinal.le_mul_right", "Ordinal.le_nadd_left", "Ordinal.le_nadd_right", "Ordinal.le_nadd_self", "Ordinal.le_nfpBFamily", "Ordinal.le_of_dvd", "Ordinal.le_of_mul_le_mul_left", "Ordinal.le_of_nadd_le_nadd_left", "Ordinal.le_of_nadd_le_nadd_right", "Ordinal.le_one_iff", "Ordinal.le_self_nadd", "Ordinal.le_succ_of_isLimit", "Ordinal.le_sup", "Ordinal.le_sup_shrink_equiv", "Ordinal.le_zero", "Ordinal.left_eq_zero_of_add_eq_zero", "Ordinal.left_le_opow", "Ordinal.lift.initialSeg_coe", "Ordinal.lift.principalSeg_coe", "Ordinal.lift.principalSeg_top'", "Ordinal.lift_add", "Ordinal.lift_card", "Ordinal.lift_cof", "Ordinal.lift_down", "Ordinal.lift_down'", "Ordinal.lift_id", "Ordinal.lift_inj", "Ordinal.lift_isLimit", "Ordinal.lift_le", "Ordinal.lift_lift", "Ordinal.lift_lt", "Ordinal.lift_natCast", "Ordinal.lift_ofNat", "Ordinal.lift_one", "Ordinal.lift_pred", "Ordinal.lift_succ", "Ordinal.lift_type_eq", "Ordinal.lift_type_le", "Ordinal.lift_type_lt", "Ordinal.lift_umax", "Ordinal.limitRecOn_limit", "Ordinal.limitRecOn_succ", "Ordinal.limitRecOn_zero", "Ordinal.limit_le", "Ordinal.log_def", "Ordinal.log_eq_zero", "Ordinal.log_le_self", "Ordinal.log_mod_opow_log_lt_log_self", "Ordinal.log_mono_right", "Ordinal.log_nonempty", "Ordinal.log_of_not_one_lt_left", "Ordinal.log_one_right", "Ordinal.log_opow", "Ordinal.log_opow_mul_add", "Ordinal.log_pos", "Ordinal.log_zero_left", "Ordinal.log_zero_right", "Ordinal.lsub_const", "Ordinal.lsub_empty", "Ordinal.lsub_eq_blsub", "Ordinal.lsub_eq_blsub'", "Ordinal.lsub_eq_lsub", "Ordinal.lsub_eq_zero_iff", "Ordinal.lsub_le", "Ordinal.lsub_le_iff", "Ordinal.lsub_le_of_range_subset", "Ordinal.lsub_le_sup_succ", "Ordinal.lsub_lt_ord", "Ordinal.lsub_pos", "Ordinal.lsub_typein", "Ordinal.lsub_unique", "Ordinal.lt_add_of_limit", "Ordinal.lt_blsub_iff", "Ordinal.lt_blsub\u2082", "Ordinal.lt_bsup", "Ordinal.lt_bsup_of_limit", "Ordinal.lt_bsup_of_ne_bsup", "Ordinal.lt_cof_type", "Ordinal.lt_div", "Ordinal.lt_lift_iff", "Ordinal.lt_limit", "Ordinal.lt_lsub", "Ordinal.lt_lsub_iff", "Ordinal.lt_mul_div_add", "Ordinal.lt_mul_of_limit", "Ordinal.lt_mul_succ_div", "Ordinal.lt_nadd_iff", "Ordinal.lt_nfp", "Ordinal.lt_nfpBFamily", "Ordinal.lt_nfpFamily", "Ordinal.lt_nmul_iff", "Ordinal.lt_nmul_iff\u2083", "Ordinal.lt_nmul_iff\u2083'", "Ordinal.lt_of_nadd_lt_nadd_left", "Ordinal.lt_omega", "Ordinal.lt_one_iff_zero", "Ordinal.lt_opow_iff_log_lt", "Ordinal.lt_opow_of_limit", "Ordinal.lt_opow_succ_log_self", "Ordinal.lt_pred", "Ordinal.lt_sub", "Ordinal.lt_sup", "Ordinal.lt_wf", "Ordinal.max_eq_zero", "Ordinal.max_zero_left", "Ordinal.mem_brange", "Ordinal.mem_closed_iff_bsup", "Ordinal.mem_closed_iff_sup", "Ordinal.mem_closure_iff_bsup", "Ordinal.mem_closure_iff_sup", "Ordinal.mem_closure_tfae", "Ordinal.mex_lt_ord_succ_mk", "Ordinal.mex_monotone", "Ordinal.mex_not_mem_range", "Ordinal.mk_initialSeg", "Ordinal.mod_def", "Ordinal.mod_eq_of_lt", "Ordinal.mod_eq_zero_of_dvd", "Ordinal.mod_le", "Ordinal.mod_lt", "Ordinal.mod_mod_of_dvd", "Ordinal.mod_one", "Ordinal.mod_opow_log_lt_self", "Ordinal.mod_self", "Ordinal.mod_zero", "Ordinal.mul_add_div", "Ordinal.mul_add_mod_self", "Ordinal.mul_div_cancel", "Ordinal.mul_div_le", "Ordinal.mul_eq_opow_log_succ", "Ordinal.mul_eq_right_iff_opow_omega_dvd", "Ordinal.mul_eq_zero'", "Ordinal.mul_isLimit", "Ordinal.mul_isLimit_left", "Ordinal.mul_isNormal", "Ordinal.mul_le_mul_iff_left", "Ordinal.mul_le_of_limit", "Ordinal.mul_le_of_limit_aux", "Ordinal.mul_le_right_iff_opow_omega_dvd", "Ordinal.mul_lt_mul_iff_left", "Ordinal.mul_lt_mul_of_pos_left", "Ordinal.mul_lt_of_lt_div", "Ordinal.mul_lt_omega_opow", "Ordinal.mul_mod", "Ordinal.mul_ne_zero", "Ordinal.mul_omega", "Ordinal.mul_omega_dvd", "Ordinal.mul_omega_opow_opow", "Ordinal.mul_pos", "Ordinal.mul_principal_add_is_principal_add", "Ordinal.mul_right_inj", "Ordinal.mul_sub", "Ordinal.mul_succ", "Ordinal.nadd_assoc", "Ordinal.nadd_comm", "Ordinal.nadd_def", "Ordinal.nadd_eq_add", "Ordinal.nadd_le_iff", "Ordinal.nadd_le_nadd", "Ordinal.nadd_le_nadd_iff_left", "Ordinal.nadd_le_nadd_iff_right", "Ordinal.nadd_le_nadd_left", "Ordinal.nadd_le_nadd_right", "Ordinal.nadd_left_cancel_iff", "Ordinal.nadd_left_comm", "Ordinal.nadd_lt_nadd", "Ordinal.nadd_lt_nadd_iff_right", "Ordinal.nadd_lt_nadd_left", "Ordinal.nadd_lt_nadd_of_le_of_lt", "Ordinal.nadd_nat", "Ordinal.nadd_nmul", "Ordinal.nadd_one", "Ordinal.nadd_one_nmul", "Ordinal.nadd_right_cancel", "Ordinal.nadd_right_cancel_iff", "Ordinal.nadd_right_comm", "Ordinal.nadd_succ", "Ordinal.natCast_div", "Ordinal.natCast_inj", "Ordinal.natCast_le", "Ordinal.natCast_mod", "Ordinal.natCast_mul", "Ordinal.natCast_ne_zero", "Ordinal.natCast_opow", "Ordinal.natCast_pos", "Ordinal.natCast_sub", "Ordinal.natCast_succ", "Ordinal.nat_le_card", "Ordinal.nat_lt_card", "Ordinal.nat_lt_limit", "Ordinal.nat_lt_omega", "Ordinal.nat_nadd", "Ordinal.ne_bmex", "Ordinal.ne_mex", "Ordinal.ne_zero_of_out_nonempty", "Ordinal.nfpBFamily_eq_nfpFamily", "Ordinal.nfpBFamily_eq_self", "Ordinal.nfpBFamily_fp", "Ordinal.nfpBFamily_le", "Ordinal.nfpBFamily_le_apply", "Ordinal.nfpBFamily_le_fp", "Ordinal.nfpBFamily_le_iff", "Ordinal.nfpBFamily_lt_ord_lift", "Ordinal.nfpBFamily_monotone", "Ordinal.nfpFamily_eq_self", "Ordinal.nfpFamily_fp", "Ordinal.nfpFamily_le", "Ordinal.nfpFamily_le_fp", "Ordinal.nfpFamily_lt_ord", "Ordinal.nfpFamily_lt_ord_lift", "Ordinal.nfpFamily_monotone", "Ordinal.nfp_add_eq_mul_omega", "Ordinal.nfp_add_zero", "Ordinal.nfp_eq_nfpFamily", "Ordinal.nfp_eq_self", "Ordinal.nfp_id", "Ordinal.nfp_le", "Ordinal.nfp_le_fp", "Ordinal.nfp_le_of_principal", "Ordinal.nfp_monotone", "Ordinal.nfp_mul_eq_opow_omega", "Ordinal.nfp_mul_one", "Ordinal.nfp_mul_opow_omega_add", "Ordinal.nfp_mul_zero", "Ordinal.nfp_zero_mul", "Ordinal.nhdsBasis_Ioc", "Ordinal.nhds_left'_eq_nhds_ne", "Ordinal.nhds_left_eq_nhds", "Ordinal.nmul_add_one", "Ordinal.nmul_assoc", "Ordinal.nmul_comm", "Ordinal.nmul_def", "Ordinal.nmul_eq_mul", "Ordinal.nmul_le_iff", "Ordinal.nmul_le_iff\u2083", "Ordinal.nmul_le_iff\u2083'", "Ordinal.nmul_le_nmul_of_nonneg_left", "Ordinal.nmul_le_nmul_of_nonneg_right", "Ordinal.nmul_lt_nmul_of_pos_left", "Ordinal.nmul_lt_nmul_of_pos_right", "Ordinal.nmul_nadd", "Ordinal.nmul_nadd_le", "Ordinal.nmul_nadd_le\u2083", "Ordinal.nmul_nadd_le\u2083'", "Ordinal.nmul_nadd_lt", "Ordinal.nmul_nadd_lt\u2083", "Ordinal.nmul_nadd_lt\u2083'", "Ordinal.nmul_nadd_one", "Ordinal.nmul_nonempty", "Ordinal.nmul_one", "Ordinal.nmul_succ", "Ordinal.nmul_zero", "Ordinal.nonempty_compl_range", "Ordinal.not_lt_zero", "Ordinal.not_succ_isLimit", "Ordinal.omega_isLimit", "Ordinal.omega_le", "Ordinal.omega_le_of_isLimit", "Ordinal.omega_lt_omega1", "Ordinal.omega_ne_zero", "Ordinal.omega_pos", "Ordinal.one_CNF", "Ordinal.one_add_natCast", "Ordinal.one_add_of_omega_le", "Ordinal.one_add_omega", "Ordinal.one_le_card", "Ordinal.one_le_iff_ne_zero", "Ordinal.one_le_iff_pos", "Ordinal.one_lt_card", "Ordinal.one_lt_omega", "Ordinal.one_nadd", "Ordinal.one_ne_zero", "Ordinal.one_nmul", "Ordinal.one_opow", "Ordinal.one_out_eq", "Ordinal.one_toPGame_leftMoves_default_eq", "Ordinal.op_eq_self_of_principal", "Ordinal.opow_add", "Ordinal.opow_def", "Ordinal.opow_dvd_opow", "Ordinal.opow_dvd_opow_iff", "Ordinal.opow_isLimit", "Ordinal.opow_isLimit_left", "Ordinal.opow_isNormal", "Ordinal.opow_le_iff_le_log", "Ordinal.opow_le_of_limit", "Ordinal.opow_le_opow_left", "Ordinal.opow_le_opow_right", "Ordinal.opow_limit", "Ordinal.opow_log_le_self", "Ordinal.opow_lt_opow_iff_right", "Ordinal.opow_lt_opow_left_of_succ", "Ordinal.opow_mul", "Ordinal.opow_mul_add_lt_opow_mul_succ", "Ordinal.opow_mul_add_lt_opow_succ", "Ordinal.opow_mul_add_pos", "Ordinal.opow_ne_zero", "Ordinal.opow_omega", "Ordinal.opow_one", "Ordinal.opow_one_add", "Ordinal.opow_pos", "Ordinal.opow_principal_add_of_principal_add", "Ordinal.opow_succ", "Ordinal.opow_zero", "Ordinal.ord_cof_eq", "Ordinal.out_empty_iff_eq_zero", "Ordinal.out_no_max_of_succ_lt", "Ordinal.out_nonempty_iff_ne_zero", "Ordinal.pos_iff_ne_zero", "Ordinal.pred_eq_iff_not_succ", "Ordinal.pred_le", "Ordinal.pred_le_self", "Ordinal.pred_lt_iff_is_succ", "Ordinal.pred_succ", "Ordinal.pred_zero", "Ordinal.principal_add_iff_add_left_eq_self", "Ordinal.principal_add_iff_add_lt_ne_self", "Ordinal.principal_add_iff_zero_or_omega_opow", "Ordinal.principal_add_isLimit", "Ordinal.principal_add_of_le_one", "Ordinal.principal_add_of_principal_mul", "Ordinal.principal_add_omega", "Ordinal.principal_add_one", "Ordinal.principal_mul_iff_le_two_or_omega_opow_opow", "Ordinal.principal_mul_iff_mul_left_eq", "Ordinal.principal_mul_of_le_two", "Ordinal.principal_mul_omega", "Ordinal.principal_mul_omega_opow_opow", "Ordinal.principal_mul_one", "Ordinal.principal_mul_two", "Ordinal.principal_nfp_blsub\u2082", "Ordinal.principal_one_iff", "Ordinal.principal_opow_omega", "Ordinal.principal_zero", "Ordinal.range_enumOrd", "Ordinal.range_familyOfBFamily", "Ordinal.range_familyOfBFamily'", "Ordinal.relIso_enum", "Ordinal.relIso_enum'", "Ordinal.right_eq_zero_of_add_eq_zero", "Ordinal.right_le_opow", "Ordinal.sSup_eq_sup", "Ordinal.sSup_ord", "Ordinal.smul_eq_mul", "Ordinal.sub_eq_of_add_eq", "Ordinal.sub_eq_zero_iff_le", "Ordinal.sub_isLimit", "Ordinal.sub_le", "Ordinal.sub_le_self", "Ordinal.sub_nonempty", "Ordinal.sub_self", "Ordinal.sub_sub", "Ordinal.sub_zero", "Ordinal.succ_le_iff'", "Ordinal.succ_log_def", "Ordinal.succ_lt_of_not_succ", "Ordinal.succ_nadd", "Ordinal.succ_ne_zero", "Ordinal.succ_nmul", "Ordinal.succ_one", "Ordinal.succ_pos", "Ordinal.succ_pred_iff_is_succ", "Ordinal.succ_zero", "Ordinal.sup_add_nat", "Ordinal.sup_const", "Ordinal.sup_empty", "Ordinal.sup_eq_bsup", "Ordinal.sup_eq_bsup'", "Ordinal.sup_eq_lsub", "Ordinal.sup_eq_lsub_iff_lt_sup", "Ordinal.sup_eq_lsub_iff_succ", "Ordinal.sup_eq_lsub_or_sup_succ_eq_lsub", "Ordinal.sup_eq_of_range_eq", "Ordinal.sup_eq_sSup", "Ordinal.sup_eq_zero_iff", "Ordinal.sup_iterate_eq_nfp", "Ordinal.sup_le", "Ordinal.sup_le_iff", "Ordinal.sup_le_lsub", "Ordinal.sup_le_sup", "Ordinal.sup_lt_ord_lift", "Ordinal.sup_mul_nat", "Ordinal.sup_natCast", "Ordinal.sup_not_succ_of_ne_sup", "Ordinal.sup_opow_nat", "Ordinal.sup_sequence_lt_omega1", "Ordinal.sup_succ_eq_lsub", "Ordinal.sup_succ_le_lsub", "Ordinal.sup_sum", "Ordinal.sup_typein_limit", "Ordinal.sup_typein_succ", "Ordinal.toLeftMovesToPGame_symm_lt", "Ordinal.toNatOrdinal_cast_nat", "Ordinal.toNatOrdinal_eq_one", "Ordinal.toNatOrdinal_eq_zero", "Ordinal.toNatOrdinal_max", "Ordinal.toNatOrdinal_min", "Ordinal.toNatOrdinal_one", "Ordinal.toNatOrdinal_toOrdinal", "Ordinal.toNatOrdinal_zero", "Ordinal.toPGame_add", "Ordinal.toPGame_add_mk'", "Ordinal.toPGame_def", "Ordinal.toPGame_eq_iff", "Ordinal.toPGame_equiv_iff", "Ordinal.toPGame_injective", "Ordinal.toPGame_le", "Ordinal.toPGame_le_iff", "Ordinal.toPGame_leftMoves", "Ordinal.toPGame_lf", "Ordinal.toPGame_lf_iff", "Ordinal.toPGame_lt_iff", "Ordinal.toPGame_moveLeft'", "Ordinal.toPGame_moveLeft_hEq", "Ordinal.to_leftMoves_one_toPGame_symm", "Ordinal.type_def", "Ordinal.type_empty", "Ordinal.type_eq_one_iff_unique", "Ordinal.type_eq_one_of_unique", "Ordinal.type_eq_zero_iff_isEmpty", "Ordinal.type_eq_zero_of_empty", "Ordinal.type_fintype", "Ordinal.type_le_iff", "Ordinal.type_le_iff'", "Ordinal.type_lift_preimage", "Ordinal.type_lift_preimage_aux", "Ordinal.type_lt", "Ordinal.type_nat_lt", "Ordinal.type_ne_zero_iff_nonempty", "Ordinal.type_ne_zero_of_nonempty", "Ordinal.type_out", "Ordinal.type_pUnit", "Ordinal.type_preimage", "Ordinal.type_preimage_aux", "Ordinal.type_prod_lex", "Ordinal.type_subrel_lt", "Ordinal.type_sum_lex", "Ordinal.type_uLift", "Ordinal.type_uLift_aux", "Ordinal.type_unit", "Ordinal.typein.principalSeg_coe", "Ordinal.typein_apply", "Ordinal.typein_enum", "Ordinal.typein_injective", "Ordinal.typein_le_typein", "Ordinal.typein_le_typein'", "Ordinal.typein_lt_self", "Ordinal.typein_lt_type", "Ordinal.typein_lt_typein", "Ordinal.typein_one_out", "Ordinal.typein_surj", "Ordinal.typein_top", "Ordinal.unbounded_of_unbounded_iUnion", "Ordinal.unbounded_of_unbounded_sUnion", "Ordinal.unbounded_principal", "Ordinal.unbounded_range_of_sup_ge", "Ordinal.univ_id", "Ordinal.univ_umax", "Ordinal.zero_CNF", "Ordinal.zero_div", "Ordinal.zero_le", "Ordinal.zero_lt_card", "Ordinal.zero_mod", "Ordinal.zero_nadd", "Ordinal.zero_nmul", "Ordinal.zero_opow", "Ordinal.zero_opow'", "Ordinal.zero_or_succ_or_limit", "Ordinal.zero_sub", "OrdinalApprox.exists_lfpApprox_eq_lfpApprox", "OrdinalApprox.gfpApprox_le", "OrdinalApprox.gfpApprox_ord_eq_gfp", "OrdinalApprox.gfpApprox_ord_mem_fixedPoint", "OrdinalApprox.gfp_mem_range_gfpApprox", "OrdinalApprox.le_gfpApprox_of_mem_fixedPoints", "OrdinalApprox.le_lfpApprox", "OrdinalApprox.lfpApprox_add_one", "OrdinalApprox.lfpApprox_eq_of_mem_fixedPoints", "OrdinalApprox.lfpApprox_le_of_mem_fixedPoints", "OrdinalApprox.lfpApprox_mem_fixedPoints_of_eq", "OrdinalApprox.lfpApprox_monotone", "OrdinalApprox.lfpApprox_ord_eq_lfp", "OrdinalApprox.lfpApprox_ord_mem_fixedPoint", "OrdinalApprox.lfp_mem_range_lfpApprox", "Ordnode.Any.imp", "Ordnode.Balanced.dual", "Ordnode.BalancedSz.symm", "Ordnode.Bounded.dual", "Ordnode.Bounded.dual_iff", "Ordnode.Bounded.mem_gt", "Ordnode.Bounded.mem_lt", "Ordnode.Bounded.mono_left", "Ordnode.Bounded.of_gt", "Ordnode.Bounded.of_lt", "Ordnode.Bounded.to_lt", "Ordnode.Bounded.to_nil", "Ordnode.Bounded.trans_right", "Ordnode.Bounded.weak", "Ordnode.Bounded.weak_right", "Ordnode.Raised.add_left", "Ordnode.Raised.add_right", "Ordnode.Raised.dist_le", "Ordnode.Raised.dist_le'", "Ordnode.Raised.right", "Ordnode.Sized.balance'", "Ordnode.Sized.dual", "Ordnode.Sized.dual_iff", "Ordnode.Sized.eq_node'", "Ordnode.Sized.induction", "Ordnode.Sized.node'", "Ordnode.Sized.node3L", "Ordnode.Sized.node3R", "Ordnode.Sized.pos", "Ordnode.Sized.rotateL", "Ordnode.Sized.rotateL_size", "Ordnode.Sized.rotateR", "Ordnode.Sized.rotateR_size", "Ordnode.Sized.size_eq_zero", "Ordnode.Valid'.balance", "Ordnode.Valid'.balance'_aux", "Ordnode.Valid'.balance'_lemma", "Ordnode.Valid'.balanceL", "Ordnode.Valid'.balanceL_aux", "Ordnode.Valid'.balanceR", "Ordnode.Valid'.balanceR_aux", "Ordnode.Valid'.dual", "Ordnode.Valid'.dual_iff", "Ordnode.Valid'.eraseMax_aux", "Ordnode.Valid'.eraseMin_aux", "Ordnode.Valid'.erase_aux", "Ordnode.Valid'.glue", "Ordnode.Valid'.glue_aux", "Ordnode.Valid'.map_aux", "Ordnode.Valid'.merge_aux", "Ordnode.Valid'.merge_aux\u2081", "Ordnode.Valid'.merge_lemma", "Ordnode.Valid'.node", "Ordnode.Valid'.node'", "Ordnode.Valid'.node3L", "Ordnode.Valid'.node4L", "Ordnode.Valid'.node4L_lemma\u2081", "Ordnode.Valid'.node4L_lemma\u2082", "Ordnode.Valid'.node4L_lemma\u2083", "Ordnode.Valid'.of_gt", "Ordnode.Valid'.of_lt", "Ordnode.Valid'.right", "Ordnode.Valid'.rotateL", "Ordnode.Valid'.rotateL_lemma\u2082", "Ordnode.Valid'.rotateL_lemma\u2083", "Ordnode.Valid'.rotateR", "Ordnode.Valid'.trans_left", "Ordnode.Valid'.trans_right", "Ordnode.Valid'.valid", "Ordnode.Valid.dual", "Ordnode.Valid.merge", "Ordnode.Valid.right", "Ordnode.all_balance'", "Ordnode.all_balanceL", "Ordnode.all_dual", "Ordnode.all_iff_forall", "Ordnode.all_node'", "Ordnode.all_node3L", "Ordnode.all_node4L", "Ordnode.all_node4R", "Ordnode.all_rotateL", "Ordnode.all_rotateR", "Ordnode.any_iff_exists", "Ordnode.balanceL_eq_balance", "Ordnode.balanceL_eq_balance'", "Ordnode.balanceR_eq_balance'", "Ordnode.balance_eq_balance'", "Ordnode.balance_sz_dual", "Ordnode.balancedSz_down", "Ordnode.balancedSz_up", "Ordnode.balancedSz_zero", "Ordnode.delta_lt_false", "Ordnode.dual_balance'", "Ordnode.dual_balanceL", "Ordnode.dual_balanceR", "Ordnode.dual_dual", "Ordnode.dual_eraseMax", "Ordnode.dual_eraseMin", "Ordnode.dual_insert", "Ordnode.dual_node'", "Ordnode.dual_node3L", "Ordnode.dual_node3R", "Ordnode.dual_node4L", "Ordnode.dual_node4R", "Ordnode.dual_rotateL", "Ordnode.dual_rotateR", "Ordnode.emem_iff_mem_toList", "Ordnode.equiv_iff", "Ordnode.erase.valid", "Ordnode.eraseMax.valid", "Ordnode.eraseMin.valid", "Ordnode.findMax'_all", "Ordnode.findMax'_dual", "Ordnode.findMax_dual", "Ordnode.findMin'_all", "Ordnode.findMin'_dual", "Ordnode.findMin_dual", "Ordnode.foldr_cons_eq_toList", "Ordnode.insert'.valid", "Ordnode.insert'_eq_insertWith", "Ordnode.insert.valid", "Ordnode.insertWith.valid", "Ordnode.insertWith.valid_aux", "Ordnode.insert_eq_insertWith", "Ordnode.length_toList", "Ordnode.length_toList'", "Ordnode.map.valid", "Ordnode.merge_nil_left", "Ordnode.merge_nil_right", "Ordnode.merge_node", "Ordnode.node3L_size", "Ordnode.node3R_size", "Ordnode.node4L_size", "Ordnode.not_le_delta", "Ordnode.pos_size_of_mem", "Ordnode.raised_iff", "Ordnode.rotateR_nil", "Ordnode.rotateR_node", "Ordnode.size_balance'", "Ordnode.size_balanceL", "Ordnode.size_balanceR", "Ordnode.size_dual", "Ordnode.size_eq_realSize", "Ordnode.size_erase_of_mem", "Ordnode.size_nil", "Ordnode.size_node", "Ordnode.splitMax_eq", "Ordnode.splitMin_eq", "Ordnode.toList_node", "Ordnode.valid'_nil", "Ordnode.valid'_singleton", "Ordnode.valid_nil", "Ordset.empty_iff", "Ordset.pos_size_of_mem", "OreLocalization.add''_char", "OreLocalization.add_assoc", "OreLocalization.add_comm", "OreLocalization.add_left_neg", "OreLocalization.add_oreDiv", "OreLocalization.add_smul", "OreLocalization.add_zero", "OreLocalization.div_eq_one", "OreLocalization.div_eq_one'", "OreLocalization.eq_of_num_factor_eq", "OreLocalization.expand", "OreLocalization.expand'", "OreLocalization.ind", "OreLocalization.inv_def", "OreLocalization.inv_zero", "OreLocalization.left_distrib", "OreLocalization.liftExpand_of", "OreLocalization.lift\u2082Expand_of", "OreLocalization.mul_assoc", "OreLocalization.mul_cancel", "OreLocalization.mul_cancel'", "OreLocalization.mul_div_one", "OreLocalization.mul_inv", "OreLocalization.mul_inv_cancel", "OreLocalization.mul_one", "OreLocalization.mul_smul", "OreLocalization.mul_zero", "OreLocalization.neg_def", "OreLocalization.nonempty_oreSet_iff", "OreLocalization.nonempty_oreSet_iff_of_noZeroDivisors", "OreLocalization.numeratorHom_apply", "OreLocalization.numeratorHom_inj", "OreLocalization.numerator_isUnit", "OreLocalization.one_def", "OreLocalization.one_div_mul", "OreLocalization.one_div_smul", "OreLocalization.one_mul", "OreLocalization.one_smul", "OreLocalization.oreDiv_add_char", "OreLocalization.oreDiv_add_char'", "OreLocalization.oreDiv_add_oreDiv", "OreLocalization.oreDiv_eq_iff", "OreLocalization.oreDiv_mul_char", "OreLocalization.oreDiv_mul_oreDiv_comm", "OreLocalization.oreDiv_one_smul", "OreLocalization.ore_eq", "OreLocalization.ore_right_cancel", "OreLocalization.right_distrib", "OreLocalization.smul'_char", "OreLocalization.smul_add", "OreLocalization.smul_cancel", "OreLocalization.smul_div_one", "OreLocalization.smul_zero", "OreLocalization.subsingleton_iff", "OreLocalization.universalHom_commutes", "OreLocalization.universalMulHom_apply", "OreLocalization.universalMulHom_commutes", "OreLocalization.universalMulHom_unique", "OreLocalization.zero_add", "OreLocalization.zero_def", "OreLocalization.zero_oreDiv", "OreLocalization.zero_smul", "Orientation.abs_areaForm_le", "Orientation.abs_areaForm_of_orthogonal", "Orientation.abs_kahler", "Orientation.abs_oangle_sub_left_toReal_lt_pi_div_two", "Orientation.abs_oangle_sub_right_toReal_lt_pi_div_two", "Orientation.abs_volumeForm_apply_le", "Orientation.abs_volumeForm_apply_of_orthonormal", "Orientation.abs_volumeForm_apply_of_pairwise_orthogonal", "Orientation.angle_eq_abs_oangle_toReal", "Orientation.angle_eq_iff_oangle_eq_of_sign_eq", "Orientation.areaForm'_apply", "Orientation.areaForm_apply_self", "Orientation.areaForm_comp_linearIsometryEquiv", "Orientation.areaForm_le", "Orientation.areaForm_map", "Orientation.areaForm_map_complex", "Orientation.areaForm_neg_orientation", "Orientation.areaForm_rightAngleRotation_left", "Orientation.areaForm_rightAngleRotation_right", "Orientation.areaForm_swap", "Orientation.areaForm_to_volumeForm", "Orientation.continuousAt_oangle", "Orientation.cos_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_eq_inner_div_norm_mul_norm", "Orientation.cos_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.cos_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.det_rotation", "Orientation.eq_iff_norm_eq_and_oangle_eq_zero", "Orientation.eq_iff_norm_eq_of_oangle_eq_zero", "Orientation.eq_or_eq_neg", "Orientation.eq_or_eq_neg_of_isEmpty", "Orientation.eq_rotation_self_iff", "Orientation.eq_rotation_self_iff_angle_eq_zero", "Orientation.eq_zero_or_angle_eq_zero_or_pi_of_sign_oangle_eq_zero", "Orientation.eq_zero_or_eq_zero_of_kahler_eq_zero", "Orientation.eq_zero_or_oangle_eq_iff_inner_eq_zero", "Orientation.exists_linearIsometryEquiv_eq_of_det_pos", "Orientation.finOrthonormalBasis_orientation", "Orientation.inner_eq_norm_mul_norm_mul_cos_oangle", "Orientation.inner_eq_zero_iff_eq_zero_or_eq_smul_rotation_pi_div_two", "Orientation.inner_eq_zero_of_oangle_eq_neg_pi_div_two", "Orientation.inner_eq_zero_of_oangle_eq_pi_div_two", "Orientation.inner_mul_areaForm_sub", "Orientation.inner_mul_areaForm_sub'", "Orientation.inner_mul_inner_add_areaForm_mul_areaForm", "Orientation.inner_mul_inner_add_areaForm_mul_areaForm'", "Orientation.inner_rev_eq_zero_of_oangle_eq_neg_pi_div_two", "Orientation.inner_rev_eq_zero_of_oangle_eq_pi_div_two", "Orientation.inner_rightAngleRotationAux\u2081_left", "Orientation.inner_rightAngleRotation_right", "Orientation.inner_rightAngleRotation_self", "Orientation.inner_rotation_pi_div_two_left", "Orientation.inner_rotation_pi_div_two_left_smul", "Orientation.inner_rotation_pi_div_two_right", "Orientation.inner_rotation_pi_div_two_right_smul", "Orientation.inner_smul_rotation_pi_div_two_left", "Orientation.inner_smul_rotation_pi_div_two_right", "Orientation.inner_smul_rotation_pi_div_two_smul_left", "Orientation.inner_smul_rotation_pi_div_two_smul_right", "Orientation.inner_sq_add_areaForm_sq", "Orientation.kahler_apply_apply", "Orientation.kahler_apply_self", "Orientation.kahler_comp_rightAngleRotation", "Orientation.kahler_comp_rightAngleRotation'", "Orientation.kahler_eq_zero_iff", "Orientation.kahler_map", "Orientation.kahler_map_complex", "Orientation.kahler_mul", "Orientation.kahler_ne_zero", "Orientation.kahler_ne_zero_iff", "Orientation.kahler_neg_orientation", "Orientation.kahler_rightAngleRotation_left", "Orientation.kahler_rightAngleRotation_right", "Orientation.kahler_rotation_left", "Orientation.kahler_rotation_left'", "Orientation.kahler_rotation_right", "Orientation.kahler_swap", "Orientation.left_ne_zero_of_oangle_eq_neg_pi_div_two", "Orientation.left_ne_zero_of_oangle_eq_pi", "Orientation.left_ne_zero_of_oangle_eq_pi_div_two", "Orientation.left_ne_zero_of_oangle_ne_zero", "Orientation.left_ne_zero_of_oangle_sign_eq_neg_one", "Orientation.left_ne_zero_of_oangle_sign_eq_one", "Orientation.left_ne_zero_of_oangle_sign_ne_zero", "Orientation.linearEquiv_det_rotation", "Orientation.linearIsometryEquiv_comp_rightAngleRotation", "Orientation.linearIsometryEquiv_comp_rightAngleRotation'", "Orientation.map_apply", "Orientation.map_eq_det_inv_smul", "Orientation.map_eq_iff_det_pos", "Orientation.map_eq_neg_iff_det_neg", "Orientation.map_neg", "Orientation.map_of_isEmpty", "Orientation.map_refl", "Orientation.measure_eq_volume", "Orientation.measure_orthonormalBasis", "Orientation.ne_of_oangle_eq_neg_pi_div_two", "Orientation.ne_of_oangle_eq_pi_div_two", "Orientation.ne_of_oangle_ne_zero", "Orientation.ne_of_oangle_sign_ne_zero", "Orientation.neg_rotation", "Orientation.neg_rotation_neg_pi_div_two", "Orientation.neg_rotation_pi_div_two", "Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay", "Orientation.normSq_kahler", "Orientation.norm_div_cos_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_cos_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.norm_div_cos_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_cos_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.norm_div_sin_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_sin_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.norm_div_sin_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_sin_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_tan_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.norm_div_tan_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.norm_div_tan_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.norm_kahler", "Orientation.oangle_add", "Orientation.oangle_add_cyc3", "Orientation.oangle_add_cyc3_neg_left", "Orientation.oangle_add_cyc3_neg_right", "Orientation.oangle_add_left_eq_arccos_of_oangle_eq_pi_div_two", "Orientation.oangle_add_left_eq_arcsin_of_oangle_eq_pi_div_two", "Orientation.oangle_add_left_eq_arctan_of_oangle_eq_pi_div_two", "Orientation.oangle_add_left_smul_rotation_pi_div_two", "Orientation.oangle_add_oangle_rev_neg_left", "Orientation.oangle_add_oangle_rev_neg_right", "Orientation.oangle_add_right_eq_arccos_of_oangle_eq_pi_div_two", "Orientation.oangle_add_right_eq_arcsin_of_oangle_eq_pi_div_two", "Orientation.oangle_add_right_eq_arctan_of_oangle_eq_pi_div_two", "Orientation.oangle_add_right_smul_rotation_pi_div_two", "Orientation.oangle_add_swap", "Orientation.oangle_eq_angle_of_sign_eq_one", "Orientation.oangle_eq_angle_or_eq_neg_angle", "Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_of_ne_zero", "Orientation.oangle_eq_iff_eq_norm_div_norm_smul_rotation_or_eq_zero", "Orientation.oangle_eq_iff_eq_pos_smul_rotation_of_ne_zero", "Orientation.oangle_eq_iff_eq_pos_smul_rotation_or_eq_zero", "Orientation.oangle_eq_neg_angle_of_sign_eq_neg_one", "Orientation.oangle_eq_of_angle_eq_of_sign_eq", "Orientation.oangle_eq_pi_iff_angle_eq_pi", "Orientation.oangle_eq_pi_iff_oangle_rev_eq_pi", "Orientation.oangle_eq_pi_iff_sameRay_neg", "Orientation.oangle_eq_pi_sub_two_zsmul_oangle_sub_of_norm_eq", "Orientation.oangle_eq_two_zsmul_oangle_sub_of_norm_eq", "Orientation.oangle_eq_zero_iff_angle_eq_zero", "Orientation.oangle_eq_zero_iff_oangle_rev_eq_zero", "Orientation.oangle_eq_zero_iff_sameRay", "Orientation.oangle_eq_zero_or_eq_pi_iff_not_linearIndependent", "Orientation.oangle_eq_zero_or_eq_pi_iff_right_eq_smul", "Orientation.oangle_map", "Orientation.oangle_map_complex", "Orientation.oangle_ne_zero_and_ne_pi_iff_linearIndependent", "Orientation.oangle_neg_left", "Orientation.oangle_neg_left_eq_neg_right", "Orientation.oangle_neg_neg", "Orientation.oangle_neg_orientation_eq_neg", "Orientation.oangle_neg_right", "Orientation.oangle_rev", "Orientation.oangle_rotation", "Orientation.oangle_rotation_left", "Orientation.oangle_rotation_oangle_right", "Orientation.oangle_rotation_right", "Orientation.oangle_rotation_self_left", "Orientation.oangle_self", "Orientation.oangle_sign_add_left", "Orientation.oangle_sign_add_right", "Orientation.oangle_sign_add_smul_left", "Orientation.oangle_sign_neg_left", "Orientation.oangle_sign_neg_right", "Orientation.oangle_sign_smul_add_right", "Orientation.oangle_sign_smul_add_smul_left", "Orientation.oangle_sign_smul_add_smul_smul_add_smul", "Orientation.oangle_sign_smul_left", "Orientation.oangle_sign_smul_right", "Orientation.oangle_sign_smul_sub_left", "Orientation.oangle_sign_smul_sub_right", "Orientation.oangle_sign_sub_left", "Orientation.oangle_sign_sub_left_eq_neg", "Orientation.oangle_sign_sub_left_swap", "Orientation.oangle_sign_sub_right", "Orientation.oangle_sign_sub_right_eq_neg", "Orientation.oangle_sign_sub_right_swap", "Orientation.oangle_sign_sub_smul_left", "Orientation.oangle_sign_sub_smul_right", "Orientation.oangle_smul_add_right_eq_zero_or_eq_pi_iff", "Orientation.oangle_smul_left_of_neg", "Orientation.oangle_smul_left_of_pos", "Orientation.oangle_smul_left_self_of_nonneg", "Orientation.oangle_smul_right_of_neg", "Orientation.oangle_smul_right_of_pos", "Orientation.oangle_smul_right_self_of_nonneg", "Orientation.oangle_smul_smul_self_of_nonneg", "Orientation.oangle_sub_eq_oangle_sub_rev_of_norm_eq", "Orientation.oangle_sub_left_eq_arccos_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_left_eq_arcsin_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_left_eq_arctan_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_left_smul_rotation_pi_div_two", "Orientation.oangle_sub_right_eq_arccos_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_right_eq_arcsin_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_right_eq_arctan_of_oangle_eq_pi_div_two", "Orientation.oangle_sub_right_smul_rotation_pi_div_two", "Orientation.oangle_zero_left", "Orientation.oangle_zero_right", "Orientation.reindex_apply", "Orientation.reindex_neg", "Orientation.reindex_refl", "Orientation.reindex_symm", "Orientation.rightAngleRotationAux\u2081_rightAngleRotationAux\u2081", "Orientation.rightAngleRotation_map", "Orientation.rightAngleRotation_map'", "Orientation.rightAngleRotation_map_complex", "Orientation.rightAngleRotation_neg_orientation", "Orientation.rightAngleRotation_rightAngleRotation", "Orientation.rightAngleRotation_symm", "Orientation.rightAngleRotation_trans_neg_orientation", "Orientation.rightAngleRotation_trans_rightAngleRotation", "Orientation.right_ne_zero_of_oangle_eq_neg_pi_div_two", "Orientation.right_ne_zero_of_oangle_eq_pi", "Orientation.right_ne_zero_of_oangle_eq_pi_div_two", "Orientation.right_ne_zero_of_oangle_ne_zero", "Orientation.right_ne_zero_of_oangle_sign_eq_one", "Orientation.rotationAux_apply", "Orientation.rotation_eq_matrix_toLin", "Orientation.rotation_eq_self_iff_angle_eq_zero", "Orientation.rotation_map", "Orientation.rotation_map_complex", "Orientation.rotation_oangle_eq_iff_norm_eq", "Orientation.rotation_pi", "Orientation.rotation_pi_div_two", "Orientation.rotation_rotation", "Orientation.rotation_symm", "Orientation.rotation_symm_apply", "Orientation.rotation_trans", "Orientation.rotation_zero", "Orientation.sin_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.sin_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_add_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_add_left_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_add_left_smul_rotation_pi_div_two", "Orientation.tan_oangle_add_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_add_right_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_add_right_smul_rotation_pi_div_two", "Orientation.tan_oangle_sub_left_mul_norm_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_sub_left_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_sub_right_mul_norm_of_oangle_eq_pi_div_two", "Orientation.tan_oangle_sub_right_of_oangle_eq_pi_div_two", "Orientation.two_zsmul_oangle_left_of_span_eq", "Orientation.two_zsmul_oangle_neg_left", "Orientation.two_zsmul_oangle_neg_right", "Orientation.two_zsmul_oangle_neg_self_right", "Orientation.two_zsmul_oangle_of_span_eq_of_span_eq", "Orientation.two_zsmul_oangle_right_of_span_eq", "Orientation.two_zsmul_oangle_smul_right_of_ne_zero", "Orientation.two_zsmul_oangle_smul_right_self", "Orientation.two_zsmul_oangle_smul_smul_self", "Orientation.two_zsmul_oangle_sub_eq_two_zsmul_oangle_sub_of_norm_eq", "Orientation.volumeForm_apply_le", "Orientation.volumeForm_comp_linearIsometryEquiv", "Orientation.volumeForm_map", "Orientation.volumeForm_neg_orientation", "Orientation.volumeForm_robust", "Orientation.volumeForm_robust'", "Orientation.volumeForm_robust_neg", "Orientation.volumeForm_zero_neg", "Orientation.volumeForm_zero_pos", "OrthogonalFamily.comp", "OrthogonalFamily.hasSum_linearIsometry", "OrthogonalFamily.independent", "OrthogonalFamily.inner_right_dfinsupp", "OrthogonalFamily.inner_right_fintype", "OrthogonalFamily.inner_sum", "OrthogonalFamily.isInternal_iff_of_isComplete", "OrthogonalFamily.isOrtho", "OrthogonalFamily.linearIsometry_apply_dfinsupp_sum_single", "OrthogonalFamily.linearIsometry_apply_single", "OrthogonalFamily.norm_sq_diff_sum", "OrthogonalFamily.norm_sum", "OrthogonalFamily.orthonormal_sigma_orthonormal", "OrthogonalFamily.projection_directSum_coeAddHom", "OrthogonalFamily.range_linearIsometry", "OrthogonalFamily.sum_projection_of_mem_iSup", "OrthogonalFamily.summable_iff_norm_sq_summable", "OrthogonalFamily.summable_of_lp", "Orthonormal.codRestrict", "Orthonormal.comp_linearIsometry", "Orthonormal.comp_linearIsometryEquiv", "Orthonormal.equiv_refl", "Orthonormal.equiv_symm", "Orthonormal.equiv_toLinearEquiv", "Orthonormal.equiv_trans", "Orthonormal.exists_hilbertBasis_extension", "Orthonormal.exists_orthonormalBasis_extension", "Orthonormal.exists_orthonormalBasis_extension_of_card_eq", "Orthonormal.inner_finsupp_eq_sum_left", "Orthonormal.inner_finsupp_eq_sum_right", "Orthonormal.inner_finsupp_eq_zero", "Orthonormal.inner_left_finsupp", "Orthonormal.inner_left_fintype", "Orthonormal.inner_left_right_finset", "Orthonormal.inner_left_sum", "Orthonormal.inner_products_summable", "Orthonormal.inner_right_finsupp", "Orthonormal.inner_right_fintype", "Orthonormal.inner_right_sum", "Orthonormal.inner_sum", "Orthonormal.isHilbertSum", "Orthonormal.linearIndependent", "Orthonormal.linearIsometryEquiv_symm_apply_single_one", "Orthonormal.mapLinearIsometryEquiv", "Orthonormal.orthogonalFamily", "Orthonormal.orthonormal_of_forall_eq_or_eq_neg", "Orthonormal.sum_inner_products_le", "Orthonormal.toSubtypeRange", "Orthonormal.tsum_inner_products_le", "OrthonormalBasis.abs_det_adjustToOrientation", "OrthonormalBasis.addHaar_eq_volume", "OrthonormalBasis.adjustToOrientation_apply_eq_or_eq_neg", "OrthonormalBasis.coe_mk", "OrthonormalBasis.coe_ofRepr", "OrthonormalBasis.coe_reindex", "OrthonormalBasis.coe_toBasis", "OrthonormalBasis.coe_toBasis_repr", "OrthonormalBasis.coe_toBasis_repr_apply", "OrthonormalBasis.det_adjustToOrientation", "OrthonormalBasis.det_eq_neg_det_of_opposite_orientation", "OrthonormalBasis.det_to_matrix_orthonormalBasis", "OrthonormalBasis.det_to_matrix_orthonormalBasis_of_opposite_orientation", "OrthonormalBasis.det_to_matrix_orthonormalBasis_of_same_orientation", "OrthonormalBasis.det_to_matrix_orthonormalBasis_real", "OrthonormalBasis.map_apply", "OrthonormalBasis.measurePreserving_measurableEquiv", "OrthonormalBasis.measurePreserving_repr", "OrthonormalBasis.measurePreserving_repr_symm", "OrthonormalBasis.orientation_adjustToOrientation", "OrthonormalBasis.orthogonalProjection_eq_sum", "OrthonormalBasis.orthonormal", "OrthonormalBasis.prod_apply", "OrthonormalBasis.reindex_apply", "OrthonormalBasis.reindex_toBasis", "OrthonormalBasis.repr_apply_apply", "OrthonormalBasis.repr_injective", "OrthonormalBasis.repr_reindex", "OrthonormalBasis.repr_self", "OrthonormalBasis.repr_symm_single", "OrthonormalBasis.same_orientation_iff_det_eq_det", "OrthonormalBasis.span_apply", "OrthonormalBasis.sum_inner_mul_inner", "OrthonormalBasis.sum_repr", "OrthonormalBasis.sum_repr_symm", "OrthonormalBasis.toBasis_adjustToOrientation", "OrthonormalBasis.toBasis_map", "OrthonormalBasis.toMatrix_orthonormalBasis_mem_orthogonal", "OrthonormalBasis.volume_parallelepiped", "OrzechProperty.injective_of_surjective_endomorphism", "OrzechProperty.injective_of_surjective_of_injective", "OrzechProperty.injective_of_surjective_of_submodule", "PEquiv.bot_apply", "PEquiv.bot_trans", "PEquiv.coe_mk_apply", "PEquiv.eq_some_iff", "PEquiv.equiv_toPEquiv_toMatrix", "PEquiv.ext_iff", "PEquiv.inj", "PEquiv.injective_of_forall_isSome", "PEquiv.injective_of_forall_ne_isSome", "PEquiv.le_def", "PEquiv.matrix_mul_apply", "PEquiv.mem_iff_mem", "PEquiv.mem_ofSet_iff", "PEquiv.mem_ofSet_self_iff", "PEquiv.mem_single", "PEquiv.mem_single_iff", "PEquiv.mem_trans", "PEquiv.mul_matrix_apply", "PEquiv.mul_toPEquiv_toMatrix", "PEquiv.ofSet_eq_refl", "PEquiv.ofSet_eq_some_iff", "PEquiv.ofSet_eq_some_self_iff", "PEquiv.ofSet_symm", "PEquiv.ofSet_univ", "PEquiv.refl_apply", "PEquiv.refl_trans", "PEquiv.self_trans_symm", "PEquiv.single_apply", "PEquiv.single_apply_of_ne", "PEquiv.single_mul_single_of_ne", "PEquiv.single_mul_single_right", "PEquiv.single_subsingleton_eq_refl", "PEquiv.single_trans_of_mem", "PEquiv.single_trans_single", "PEquiv.single_trans_single_of_ne", "PEquiv.symm_bijective", "PEquiv.symm_injective", "PEquiv.symm_refl", "PEquiv.symm_single", "PEquiv.symm_symm", "PEquiv.symm_trans_rev", "PEquiv.symm_trans_self", "PEquiv.toMatrix_apply", "PEquiv.toMatrix_bot", "PEquiv.toMatrix_injective", "PEquiv.toMatrix_refl", "PEquiv.toMatrix_swap", "PEquiv.toMatrix_symm", "PEquiv.toMatrix_trans", "PEquiv.toPEquiv_mul_matrix", "PEquiv.trans_bot", "PEquiv.trans_eq_none", "PEquiv.trans_refl", "PEquiv.trans_single_of_eq_none", "PEquiv.trans_symm_eq_iff_forall_isSome", "PFun.Part.bind_comp", "PFun.Preimage_def", "PFun.asSubtype_eq_of_mem", "PFun.bind_defined", "PFun.coe_comp", "PFun.coe_id", "PFun.coe_preimage", "PFun.coe_val", "PFun.comp_apply", "PFun.comp_assoc", "PFun.comp_id", "PFun.compl_dom_subset_core", "PFun.core_eq", "PFun.core_res", "PFun.core_restrict", "PFun.dom_coe", "PFun.dom_comp", "PFun.dom_iff_graph", "PFun.dom_mk", "PFun.dom_of_mem_fix", "PFun.dom_toSubtype_apply_iff", "PFun.ext", "PFun.ext'", "PFun.fixInduction'_fwd", "PFun.fixInduction'_stop", "PFun.fixInduction_spec", "PFun.fix_fwd", "PFun.fix_fwd_eq", "PFun.fix_stop", "PFun.fn_apply", "PFun.get_prodLift", "PFun.get_prodMap", "PFun.id_apply", "PFun.id_comp", "PFun.image_inter", "PFun.image_union", "PFun.mem_core_res", "PFun.mem_dom", "PFun.mem_fix_iff", "PFun.mem_image", "PFun.mem_prodLift", "PFun.mem_prodMap", "PFun.mem_res", "PFun.mem_toSubtype_iff", "PFun.preimage_asSubtype", "PFun.preimage_comp", "PFun.preimage_inter", "PFun.preimage_mono", "PFun.preimage_subset_core", "PFun.preimage_subset_dom", "PFun.preimage_union", "PFun.preimage_univ", "PFun.prodLift_fst_comp_snd_comp", "PFun.prodMap_id_id", "PFun.res_univ", "PFun.toSubtype_apply", "PFunctor.Approx.P_corec", "PFunctor.Approx.approx_eta", "PFunctor.Approx.head_succ'", "PFunctor.Approx.truncate_eq_of_agree", "PFunctor.M.Approx.P_mk", "PFunctor.M.agree'_refl", "PFunctor.M.agree_iff_agree'", "PFunctor.M.approx_mk", "PFunctor.M.bisim", "PFunctor.M.bisim'", "PFunctor.M.bisim_equiv", "PFunctor.M.casesOn_mk'", "PFunctor.M.cases_mk", "PFunctor.M.children_mk", "PFunctor.M.corec_def", "PFunctor.M.corec_unique", "PFunctor.M.default_consistent", "PFunctor.M.dest_corec", "PFunctor.M.dest_mk", "PFunctor.M.eq_of_bisim", "PFunctor.M.ext", "PFunctor.M.ext'", "PFunctor.M.ext_aux", "PFunctor.M.head'_eq_head", "PFunctor.M.head_eq_head'", "PFunctor.M.head_mk", "PFunctor.M.head_succ", "PFunctor.M.ichildren_mk", "PFunctor.M.isPath_cons", "PFunctor.M.isPath_cons'", "PFunctor.M.iselect_cons", "PFunctor.M.iselect_eq_default", "PFunctor.M.isubtree_cons", "PFunctor.M.mk_dest", "PFunctor.M.mk_inj", "PFunctor.M.nth_of_bisim", "PFunctor.M.truncate_approx", "PFunctor.W.dest_mk", "PFunctor.W.mk_dest", "PFunctor.fst_map", "PFunctor.id_map", "PFunctor.iget_map", "PFunctor.liftp_iff", "PFunctor.liftp_iff'", "PFunctor.liftr_iff", "PFunctor.map_eq", "PFunctor.map_map", "PFunctor.supp_eq", "PLift.down_bijective", "PLift.down_inj", "PLift.down_injective", "PLift.down_surjective", "PLift.eq_up_iff_down_eq", "PLift.map_bijective", "PLift.map_injective", "PLift.map_surjective", "PLift.seq_up", "PLift.up_bijective", "PLift.up_injective", "PMF.apply_eq_one_iff", "PMF.apply_eq_zero_iff", "PMF.apply_lt_top", "PMF.bernoulli_apply", "PMF.bernoulli_expectation", "PMF.bindOnSupport_bindOnSupport", "PMF.bindOnSupport_comm", "PMF.bindOnSupport_eq_bind", "PMF.bindOnSupport_eq_zero_iff", "PMF.bindOnSupport_pure", "PMF.bind_apply", "PMF.bind_bind", "PMF.bind_comm", "PMF.bind_const", "PMF.bind_map", "PMF.bind_pure", "PMF.bind_pure_comp", "PMF.binomial_apply", "PMF.binomial_apply_last", "PMF.binomial_apply_self", "PMF.binomial_one_eq_bernoulli", "PMF.coe_le_one", "PMF.coe_ne_zero", "PMF.ext", "PMF.ext_iff", "PMF.filter_apply_eq_zero_iff", "PMF.filter_apply_eq_zero_of_not_mem", "PMF.filter_apply_ne_zero_iff", "PMF.hasSum_coe_one", "PMF.integral_eq_sum", "PMF.integral_eq_tsum", "PMF.map_apply", "PMF.map_comp", "PMF.map_const", "PMF.map_id", "PMF.mem_support_bindOnSupport_iff", "PMF.mem_support_bind_iff", "PMF.mem_support_filter_iff", "PMF.mem_support_iff", "PMF.mem_support_map_iff", "PMF.mem_support_normalize_iff", "PMF.mem_support_ofFintype_iff", "PMF.mem_support_pure_iff", "PMF.mem_support_seq_iff", "PMF.mem_support_uniformOfFintype", "PMF.monad_seq_eq_seq", "PMF.ofFinset_apply", "PMF.ofFinset_apply_of_not_mem", "PMF.ofMultiset_apply", "PMF.ofMultiset_apply_of_not_mem", "PMF.pure_apply", "PMF.pure_apply_of_ne", "PMF.pure_bind", "PMF.pure_bindOnSupport", "PMF.pure_map", "PMF.restrict_toMeasure_support", "PMF.seq_apply", "PMF.support_bernoulli", "PMF.support_bind", "PMF.support_bindOnSupport", "PMF.support_countable", "PMF.support_filter", "PMF.support_map", "PMF.support_normalize", "PMF.support_ofFinset", "PMF.support_ofMultiset", "PMF.support_pure", "PMF.support_seq", "PMF.support_uniformOfFintype", "PMF.toMeasure_apply_eq_one_iff", "PMF.toMeasure_apply_eq_toOuterMeasure_apply", "PMF.toMeasure_apply_eq_zero_iff", "PMF.toMeasure_apply_finset", "PMF.toMeasure_apply_fintype", "PMF.toMeasure_apply_inter_support", "PMF.toMeasure_apply_of_finite", "PMF.toMeasure_apply_singleton", "PMF.toMeasure_bindOnSupport_apply", "PMF.toMeasure_eq_iff_eq_toPMF", "PMF.toMeasure_inj", "PMF.toMeasure_injective", "PMF.toMeasure_map_apply", "PMF.toMeasure_ofFintype_apply", "PMF.toMeasure_ofMultiset_apply", "PMF.toMeasure_pure", "PMF.toMeasure_pure_apply", "PMF.toMeasure_toPMF", "PMF.toMeasure_uniformOfFinset_apply", "PMF.toMeasure_uniformOfFintype_apply", "PMF.toOuterMeasure_apply", "PMF.toOuterMeasure_apply_eq_of_inter_support_eq", "PMF.toOuterMeasure_apply_eq_one_iff", "PMF.toOuterMeasure_apply_eq_zero_iff", "PMF.toOuterMeasure_apply_finset", "PMF.toOuterMeasure_apply_fintype", "PMF.toOuterMeasure_apply_inter_support", "PMF.toOuterMeasure_apply_singleton", "PMF.toOuterMeasure_bindOnSupport_apply", "PMF.toOuterMeasure_bind_apply", "PMF.toOuterMeasure_caratheodory", "PMF.toOuterMeasure_inj", "PMF.toOuterMeasure_map_apply", "PMF.toOuterMeasure_ofFintype_apply", "PMF.toOuterMeasure_ofMultiset_apply", "PMF.toOuterMeasure_pure_apply", "PMF.toOuterMeasure_uniformOfFinset_apply", "PMF.toOuterMeasure_uniformOfFintype_apply", "PMF.toPMF_eq_iff_toMeasure_eq", "PMF.tsum_coe", "PMF.tsum_coe_indicator_ne_top", "PMF.uniformOfFinset_apply", "PMF.uniformOfFinset_apply_of_not_mem", "PMF.uniformOfFintype_apply", "PNat.Coprime.coprime_dvd_left", "PNat.Coprime.factor_eq_gcd_left", "PNat.Coprime.factor_eq_gcd_right", "PNat.Coprime.factor_eq_gcd_right_right", "PNat.Coprime.gcd_mul", "PNat.Coprime.gcd_mul_left_cancel", "PNat.Coprime.gcd_mul_left_cancel_right", "PNat.Coprime.gcd_mul_right_cancel", "PNat.Coprime.gcd_mul_right_cancel_right", "PNat.Coprime.mul", "PNat.Coprime.mul_right", "PNat.Coprime.pow", "PNat.Coprime.symm", "PNat.Icc_eq_finset_subtype", "PNat.Ico_eq_finset_subtype", "PNat.Ioc_eq_finset_subtype", "PNat.Ioo_eq_finset_subtype", "PNat.Prime.ne_one", "PNat.Prime.not_dvd_one", "PNat.Prime.one_lt", "PNat.XgcdType.finish_isSpecial", "PNat.XgcdType.finish_v", "PNat.XgcdType.flip_a", "PNat.XgcdType.flip_b", "PNat.XgcdType.flip_isSpecial", "PNat.XgcdType.flip_w", "PNat.XgcdType.flip_y", "PNat.XgcdType.isReduced_iff", "PNat.XgcdType.isSpecial_iff", "PNat.XgcdType.qp_eq", "PNat.XgcdType.reduce_a", "PNat.XgcdType.reduce_b", "PNat.XgcdType.reduce_isReduced", "PNat.XgcdType.reduce_isSpecial", "PNat.XgcdType.reduce_isSpecial'", "PNat.XgcdType.reduce_v", "PNat.XgcdType.start_isSpecial", "PNat.XgcdType.start_v", "PNat.XgcdType.step_isSpecial", "PNat.XgcdType.step_v", "PNat.XgcdType.step_wf", "PNat.XgcdType.v_eq_succ_vp", "PNat.add_coe", "PNat.add_one", "PNat.add_one_le_iff", "PNat.add_sub_of_lt", "PNat.card_Icc", "PNat.card_Ico", "PNat.card_Ioc", "PNat.card_Ioo", "PNat.card_fintype_Icc", "PNat.card_fintype_Ico", "PNat.card_fintype_Ioc", "PNat.card_fintype_Ioo", "PNat.card_fintype_uIcc", "PNat.card_uIcc", "PNat.coe_eq_one_iff", "PNat.coe_inj", "PNat.coe_injective", "PNat.coe_le_coe", "PNat.coprime_coe", "PNat.coprime_one", "PNat.count_factorMultiset", "PNat.dist_coe", "PNat.div_add_mod'", "PNat.div_coe", "PNat.dvd_antisymm", "PNat.dvd_gcd", "PNat.dvd_iff", "PNat.dvd_iff'", "PNat.dvd_lcm_left", "PNat.dvd_one_iff", "PNat.dvd_prime", "PNat.eq", "PNat.eq_one_of_lt_two", "PNat.exists_eq_succ_of_ne_one", "PNat.exists_prime_and_dvd", "PNat.factorMultiset_gcd", "PNat.factorMultiset_lcm", "PNat.factorMultiset_le_iff", "PNat.factorMultiset_le_iff'", "PNat.factorMultiset_mul", "PNat.factorMultiset_ofPrime", "PNat.factorMultiset_one", "PNat.factorMultiset_pow", "PNat.find_comp_succ", "PNat.find_eq_iff", "PNat.find_eq_one", "PNat.find_le", "PNat.find_le_iff", "PNat.find_lt_iff", "PNat.find_min'", "PNat.find_mono", "PNat.find_spec", "PNat.gcdA'_coe", "PNat.gcdB'_coe", "PNat.gcd_b_eq", "PNat.gcd_det_eq", "PNat.gcd_dvd_left", "PNat.gcd_dvd_right", "PNat.gcd_eq", "PNat.gcd_eq_left", "PNat.gcd_eq_right_iff_dvd", "PNat.gcd_mul_lcm", "PNat.gcd_one", "PNat.gcd_props", "PNat.gcd_rel_left", "PNat.gcd_rel_left'", "PNat.gcd_rel_right", "PNat.lcm_coe", "PNat.lcm_dvd", "PNat.le_find_iff", "PNat.le_of_dvd", "PNat.le_one_iff", "PNat.le_sub_one_of_lt", "PNat.lt_add_left", "PNat.lt_add_one_iff", "PNat.lt_find_iff", "PNat.lt_succ_self", "PNat.map_subtype_embedding_Icc", "PNat.map_subtype_embedding_Ico", "PNat.map_subtype_embedding_Ioc", "PNat.map_subtype_embedding_Ioo", "PNat.map_subtype_embedding_uIcc", "PNat.mk_coe", "PNat.mk_lt_mk", "PNat.mk_ofNat", "PNat.modDivAux_spec", "PNat.mod_add_div", "PNat.mod_add_div'", "PNat.mod_coe", "PNat.mod_le", "PNat.mul_coe", "PNat.mul_div_exact", "PNat.natPred_add_one", "PNat.natPred_injective", "PNat.natPred_le_natPred", "PNat.ne_zero", "PNat.not_lt_one", "PNat.not_prime_one", "PNat.ofNat_inj", "PNat.ofNat_le_ofNat", "PNat.ofNat_lt_ofNat", "PNat.one_coe", "PNat.one_coprime", "PNat.one_gcd", "PNat.one_le", "PNat.one_le_find", "PNat.pos", "PNat.pos_of_div_pos", "PNat.pow_coe", "PNat.prime_three", "PNat.prod_factorMultiset", "PNat.recOn_one", "PNat.recOn_succ", "PNat.sub_coe", "PNat.sub_le", "PNat.succPNat_natPred", "PNat.toPNat'_coe", "PNat.uIcc_eq_finset_subtype", "PProd.exists'", "PProd.forall", "PProd.forall'", "PSet.Arity.equiv_const", "PSet.Definable.eq", "PSet.Equiv.comm", "PSet.Equiv.eq", "PSet.Equiv.exists_left", "PSet.Equiv.exists_right", "PSet.Equiv.refl", "PSet.Equiv.symm", "PSet.Mem.congr_left", "PSet.Mem.ext", "PSet.Mem.mk", "PSet.Resp.Equiv.euc", "PSet.Resp.Equiv.symm", "PSet.Resp.eval_val", "PSet.empty_subset", "PSet.equiv_iff", "PSet.equiv_iff_mem", "PSet.equiv_of_isEmpty", "PSet.eta", "PSet.mem_powerset", "PSet.mem_wf_aux", "PSet.mk_func", "PSet.mk_type", "PSet.nonempty_of_mem", "PSet.not_mem_empty", "PSet.not_nonempty_empty", "PSet.toSet_empty", "PSet.toSet_sUnion", "PSigma.Lex.mono", "PSigma.Lex.mono_left", "PSigma.elim_val", "PSigma.eq", "PSigma.exists", "PSigma.ext_iff", "PSigma.forall", "PSigma.lex_iff", "PSigma.lex_wf", "PSigma.mk.inj_iff", "PSigma.skipLeft_wf", "PSigma.subtype_ext_iff", "PUnit.compl_eq", "PUnit.default_eq_unit", "PUnit.gcd_eq", "PUnit.himp_eq", "PUnit.inf_eq", "PUnit.lcm_eq", "PUnit.le", "PUnit.max_eq", "PUnit.min_eq", "PUnit.norm_unit_eq", "PUnit.sInf_eq", "PUnit.smul_eq", "PUnit.sup_eq", "PUnit.top_eq", "Padic.AddValuation.map_add", "Padic.AddValuation.map_mul", "Padic.AddValuation.map_one", "Padic.AddValuation.map_zero", "Padic.addValuation.apply", "Padic.coe_div", "Padic.coe_inj", "Padic.coe_mul", "Padic.coe_neg", "Padic.coe_one", "Padic.coe_sub", "Padic.complete'", "Padic.complete''", "Padic.const_equiv", "Padic.div_nat_pos", "Padic.exi_rat_seq_conv", "Padic.exi_rat_seq_conv_cauchy", "Padic.norm_eq_pow_val", "Padic.norm_le_one_iff_val_nonneg", "Padic.norm_le_pow_iff_norm_lt_pow_add_one", "Padic.norm_lt_pow_iff_norm_le_pow_sub_one", "Padic.padicNormE_lim_le", "Padic.rat_dense", "Padic.rat_dense'", "Padic.valuation_map_add", "Padic.valuation_map_mul", "Padic.valuation_one", "Padic.valuation_p", "Padic.valuation_zero", "Padic.zero_def", "PadicInt.algebraMap_apply", "PadicInt.appr_lt", "PadicInt.appr_mono", "PadicInt.appr_spec", "PadicInt.cast_toZModPow", "PadicInt.coe_add", "PadicInt.coe_eq_zero", "PadicInt.coe_mul", "PadicInt.coe_ne_zero", "PadicInt.coe_neg", "PadicInt.coe_one", "PadicInt.coe_pow", "PadicInt.coe_sub", "PadicInt.denseRange_intCast", "PadicInt.denseRange_natCast", "PadicInt.dvd_appr_sub_appr", "PadicInt.exists_mem_range", "PadicInt.exists_mem_range_of_norm_rat_le_one", "PadicInt.exists_pow_neg_lt", "PadicInt.exists_pow_neg_lt_rat", "PadicInt.ext", "PadicInt.ext_of_toZModPow", "PadicInt.ideal_eq_span_pow_p", "PadicInt.intCast_eq", "PadicInt.isCauSeq_nthHom", "PadicInt.isUnit_den", "PadicInt.isUnit_iff", "PadicInt.ker_toZMod", "PadicInt.ker_toZModPow", "PadicInt.lift_self", "PadicInt.lift_spec", "PadicInt.lift_sub_val_mem_span", "PadicInt.lift_unique", "PadicInt.limNthHom_mul", "PadicInt.limNthHom_one", "PadicInt.limNthHom_spec", "PadicInt.limNthHom_zero", "PadicInt.maximalIdeal_eq_span_p", "PadicInt.mem_nonunits", "PadicInt.mem_span_pow_iff_le_valuation", "PadicInt.mkUnits_eq", "PadicInt.mk_coe", "PadicInt.mk_zero", "PadicInt.mul_inv", "PadicInt.nonarchimedean", "PadicInt.norm_add_eq_max_of_ne", "PadicInt.norm_def", "PadicInt.norm_eq_of_norm_add_lt_left", "PadicInt.norm_eq_of_norm_add_lt_right", "PadicInt.norm_eq_padic_norm", "PadicInt.norm_eq_pow_val", "PadicInt.norm_intCast_eq_padic_norm", "PadicInt.norm_int_le_pow_iff_dvd", "PadicInt.norm_int_lt_one_iff_dvd", "PadicInt.norm_le_one", "PadicInt.norm_le_pow_iff_le_valuation", "PadicInt.norm_le_pow_iff_mem_span_pow", "PadicInt.norm_lt_one_add", "PadicInt.norm_lt_one_iff_dvd", "PadicInt.norm_lt_one_mul", "PadicInt.norm_mul", "PadicInt.norm_p", "PadicInt.norm_p_pow", "PadicInt.norm_pow", "PadicInt.norm_sub_modPart", "PadicInt.norm_sub_modPart_aux", "PadicInt.norm_units", "PadicInt.nthHomSeq_add", "PadicInt.nthHomSeq_mul", "PadicInt.nthHomSeq_one", "PadicInt.nthHom_zero", "PadicInt.p_nonnunit", "PadicInt.pow_dvd_nthHom_sub", "PadicInt.pow_p_dvd_int_iff", "PadicInt.prime_p", "PadicInt.sub_zmodRepr_mem", "PadicInt.toZModPow_eq_iff_ext", "PadicInt.toZMod_spec", "PadicInt.unitCoeff_coe", "PadicInt.unitCoeff_spec", "PadicInt.valuation_nonneg", "PadicInt.valuation_one", "PadicInt.valuation_p", "PadicInt.valuation_p_pow_mul", "PadicInt.valuation_zero", "PadicInt.zmodRepr_spec", "PadicInt.zmod_cast_comp_toZModPow", "PadicInt.zmod_congr_of_sub_mem_max_ideal", "PadicInt.zmod_congr_of_sub_mem_span", "PadicInt.zmod_congr_of_sub_mem_span_aux", "PadicSeq.add_eq_max_of_ne", "PadicSeq.equiv_zero_of_val_eq_of_equiv_zero", "PadicSeq.lift_index_left", "PadicSeq.lift_index_left_left", "PadicSeq.lift_index_right", "PadicSeq.ne_zero_iff_nequiv_zero", "PadicSeq.norm_const", "PadicSeq.norm_eq", "PadicSeq.norm_eq_norm_app_of_nonzero", "PadicSeq.norm_eq_of_add_equiv_zero", "PadicSeq.norm_eq_of_equiv", "PadicSeq.norm_eq_of_equiv_aux", "PadicSeq.norm_eq_pow_val", "PadicSeq.norm_equiv", "PadicSeq.norm_mul", "PadicSeq.norm_nonarchimedean", "PadicSeq.norm_nonarchimedean_aux", "PadicSeq.norm_nonneg", "PadicSeq.norm_one", "PadicSeq.norm_values_discrete", "PadicSeq.norm_zero_iff", "PadicSeq.not_equiv_zero_const_of_nonzero", "PadicSeq.not_limZero_const_of_nonzero", "PadicSeq.stationary", "PadicSeq.stationaryPoint_spec", "PadicSeq.val_eq_iff_norm_eq", "Pairwise.aedisjoint", "Pairwise.comp_of_injective", "Pairwise.countable_of_isOpen_disjoint", "Pairwise.eq", "Pairwise.exists_mem_filter_basis_of_disjoint", "Pairwise.exists_mem_filter_of_disjoint", "Pairwise.range_pairwise", "Pairwise.set_pairwise", "Part.Dom.bind", "Part.Dom.of_bind", "Part.Dom.toOption", "Part.Fix.approx_le_fix", "Part.Fix.approx_mem_approxChain", "Part.Fix.approx_mono", "Part.Fix.approx_mono'", "Part.Fix.exists_fix_le_approx", "Part.Fix.le_f_of_mem_approx", "Part.Fix.mem_iff", "Part.append_mem_append", "Part.assert_neg", "Part.assert_pos", "Part.bind_assoc", "Part.bind_dom", "Part.bind_eq_bind", "Part.bind_le", "Part.bind_map", "Part.bind_of_mem", "Part.bind_some", "Part.bind_some_eq_map", "Part.bind_some_right", "Part.bind_toOption", "Part.coe_none", "Part.div_def", "Part.div_mem_div", "Part.dom_iff_mem", "Part.eq_get_iff_mem", "Part.eq_none_iff", "Part.eq_none_iff'", "Part.eq_none_or_eq_some", "Part.eq_of_chain", "Part.eq_some_iff", "Part.eta", "Part.ext", "Part.ext'", "Part.fix_def", "Part.fix_def'", "Part.fix_eq", "Part.fix_eq_\u03c9Sup", "Part.fix_le", "Part.getOrElse_none", "Part.getOrElse_of_not_dom", "Part.getOrElse_some", "Part.get_eq_get_of_eq", "Part.get_eq_iff_eq_some", "Part.get_eq_of_mem", "Part.get_mem", "Part.induction_on", "Part.inter_def", "Part.inter_mem_inter", "Part.inv_def", "Part.inv_some", "Part.le_total_of_le_of_le", "Part.left_dom_of_append_dom", "Part.left_dom_of_div_dom", "Part.left_dom_of_inter_dom", "Part.left_dom_of_mod_dom", "Part.left_dom_of_mul_dom", "Part.left_dom_of_sdiff_dom", "Part.left_dom_of_union_dom", "Part.map_bind", "Part.map_eq_map", "Part.map_id'", "Part.map_map", "Part.map_none", "Part.map_some", "Part.mem_bind", "Part.mem_bind_iff", "Part.mem_chain_of_mem_\u03c9Sup", "Part.mem_coe", "Part.mem_eq", "Part.mem_map", "Part.mem_map_iff", "Part.mem_mk_iff", "Part.mem_ofOption", "Part.mem_restrict", "Part.mem_some", "Part.mem_some_iff", "Part.mem_toFinset", "Part.mem_toOption", "Part.mem_unique", "Part.mem_\u03c9Sup", "Part.mod_get_eq", "Part.mul_get_eq", "Part.mul_mem_mul", "Part.ne_none_iff", "Part.not_mem_none", "Part.not_none_dom", "Part.of_toOption", "Part.one_def", "Part.ret_eq_some", "Part.right_dom_of_div_dom", "Part.right_dom_of_mod_dom", "Part.right_dom_of_mul_dom", "Part.right_dom_of_sdiff_dom", "Part.right_dom_of_union_dom", "Part.sdiff_get_eq", "Part.some_dom", "Part.some_get", "Part.some_inj", "Part.some_mul_some", "Part.some_ne_none", "Part.some_sdiff_some", "Part.some_toOption", "Part.subsingleton", "Part.toOption_eq_none", "Part.toOption_eq_none_iff", "Part.toOption_eq_some_iff", "Part.toOption_isSome", "Part.to_unit_cont", "PartENat.add_eq_top_iff", "PartENat.add_lt_add_iff_left", "PartENat.add_lt_add_iff_right", "PartENat.add_lt_add_right", "PartENat.add_one_le_iff_lt", "PartENat.add_one_le_of_lt", "PartENat.add_right_cancel_iff", "PartENat.add_top", "PartENat.card_congr", "PartENat.card_eq_coe_natCard", "PartENat.card_eq_zero_iff_empty", "PartENat.card_image_of_injective", "PartENat.card_le_one_iff_subsingleton", "PartENat.card_plift", "PartENat.card_sum", "PartENat.casesOn", "PartENat.coe_le_coe", "PartENat.coe_le_iff", "PartENat.coe_lt_coe", "PartENat.coe_lt_iff", "PartENat.coe_succ_le_iff", "PartENat.dom_natCast", "PartENat.dom_ofNat", "PartENat.dom_of_le_natCast", "PartENat.dom_of_le_of_dom", "PartENat.dom_of_lt", "PartENat.dom_some", "PartENat.dom_zero", "PartENat.eq_natCast_sub_of_add_eq_natCast", "PartENat.eq_top_iff_forall_lt", "PartENat.find_dom", "PartENat.find_eq_top_iff", "PartENat.find_get", "PartENat.find_le", "PartENat.get_add", "PartENat.get_eq_iff_eq_coe", "PartENat.get_eq_iff_eq_some", "PartENat.get_le_get", "PartENat.get_natCast", "PartENat.get_natCast'", "PartENat.get_ofNat'", "PartENat.le_coe_iff", "PartENat.le_def", "PartENat.le_of_lt_add_one", "PartENat.lt_add_iff_pos_right", "PartENat.lt_add_one_iff_lt", "PartENat.lt_coe_iff", "PartENat.lt_coe_succ_iff_le", "PartENat.lt_def", "PartENat.lt_find", "PartENat.lt_find_iff", "PartENat.lt_wf", "PartENat.natCast_get", "PartENat.natCast_inj", "PartENat.natCast_lt_top", "PartENat.natCast_ne_top", "PartENat.ne_top_iff", "PartENat.ne_top_of_lt", "PartENat.ofENat_coe", "PartENat.ofENat_le", "PartENat.ofENat_lt", "PartENat.ofENat_ofNat", "PartENat.ofENat_toWithTop", "PartENat.ofENat_top", "PartENat.ofNat_lt_top", "PartENat.ofNat_ne_top", "PartENat.one_lt_card_iff_nontrivial", "PartENat.one_ne_top", "PartENat.pos_iff_one_le", "PartENat.toWithTop_add", "PartENat.toWithTop_le", "PartENat.toWithTop_lt", "PartENat.toWithTop_natCast", "PartENat.toWithTop_natCast'", "PartENat.toWithTop_ofENat", "PartENat.toWithTop_one", "PartENat.toWithTop_one'", "PartENat.toWithTop_some", "PartENat.toWithTop_top", "PartENat.toWithTop_top'", "PartENat.toWithTop_zero", "PartENat.toWithTop_zero'", "PartENat.top_add", "PartENat.top_eq_none", "PartENat.withTopEquiv_lt", "PartENat.withTopEquiv_natCast", "PartENat.withTopEquiv_ofNat", "PartENat.withTopEquiv_one", "PartENat.withTopEquiv_symm_coe", "PartENat.withTopEquiv_symm_le", "PartENat.withTopEquiv_symm_lt", "PartENat.withTopEquiv_symm_ofNat", "PartENat.withTopEquiv_symm_top", "PartENat.withTopEquiv_top", "PartENat.withTopEquiv_zero", "PartENat.zero_lt_top", "PartOrd.coe_of", "PartialDiffeomorph.contMDiffOn", "PartialDiffeomorph.mdifferentiableOn", "PartialEquiv.EqOnSource.restr", "PartialEquiv.EqOnSource.source_eq", "PartialEquiv.EqOnSource.source_inter_preimage_eq", "PartialEquiv.EqOnSource.symm'", "PartialEquiv.EqOnSource.target_eq", "PartialEquiv.EqOnSource.trans'", "PartialEquiv.IsImage.diff", "PartialEquiv.IsImage.iff_preimage_eq", "PartialEquiv.IsImage.image_eq", "PartialEquiv.IsImage.inter", "PartialEquiv.IsImage.inter_eq_of_inter_eq_of_eqOn", "PartialEquiv.IsImage.leftInvOn_piecewise", "PartialEquiv.IsImage.mapsTo", "PartialEquiv.IsImage.of_symm_image_eq", "PartialEquiv.IsImage.symm", "PartialEquiv.IsImage.symm_eq_on_of_inter_eq_of_eqOn", "PartialEquiv.IsImage.symm_mapsTo", "PartialEquiv.IsImage.union", "PartialEquiv.bijOn", "PartialEquiv.coe_symm_mk", "PartialEquiv.coe_trans_symm", "PartialEquiv.copy_eq", "PartialEquiv.disjointUnion_eq_piecewise", "PartialEquiv.eqOnSource_refl", "PartialEquiv.eq_of_eqOnSource_univ", "PartialEquiv.eq_symm_apply", "PartialEquiv.exists_mem_target", "PartialEquiv.ext", "PartialEquiv.forall_mem_target", "PartialEquiv.image_source_eq_target", "PartialEquiv.image_source_inter_eq", "PartialEquiv.image_source_inter_eq'", "PartialEquiv.image_symm_image_of_subset_target", "PartialEquiv.image_trans_source", "PartialEquiv.invOn", "PartialEquiv.inv_image_trans_target", "PartialEquiv.isImage_source_target_of_disjoint", "PartialEquiv.leftInvOn", "PartialEquiv.left_inv", "PartialEquiv.map_source", "PartialEquiv.map_target", "PartialEquiv.mapsTo", "PartialEquiv.mem_symm_trans_source", "PartialEquiv.ofSet_coe", "PartialEquiv.ofSet_symm", "PartialEquiv.ofSet_target", "PartialEquiv.pi_refl", "PartialEquiv.pi_symm", "PartialEquiv.pi_symm_apply", "PartialEquiv.pi_trans", "PartialEquiv.prod_coe", "PartialEquiv.prod_source", "PartialEquiv.prod_target", "PartialEquiv.refl_restr_source", "PartialEquiv.refl_restr_target", "PartialEquiv.refl_source", "PartialEquiv.refl_symm", "PartialEquiv.refl_target", "PartialEquiv.refl_trans", "PartialEquiv.restr_eq_of_source_subset", "PartialEquiv.restr_source", "PartialEquiv.restr_trans", "PartialEquiv.right_inv", "PartialEquiv.self_trans_symm", "PartialEquiv.source_inter_preimage_inv_preimage", "PartialEquiv.source_inter_preimage_target_inter", "PartialEquiv.source_subset_preimage_target", "PartialEquiv.symm_bijective", "PartialEquiv.symm_image_eq_source_inter_preimage", "PartialEquiv.symm_image_image_of_subset_source", "PartialEquiv.symm_image_target_inter_eq", "PartialEquiv.symm_image_target_inter_eq'", "PartialEquiv.symm_mapsTo", "PartialEquiv.symm_piecewise", "PartialEquiv.symm_source", "PartialEquiv.symm_target", "PartialEquiv.symm_trans_self", "PartialEquiv.target_inter_inv_preimage_preimage", "PartialEquiv.target_subset_preimage_source", "PartialEquiv.transEquiv_eq_trans", "PartialEquiv.transEquiv_transEquiv", "PartialEquiv.trans_apply", "PartialEquiv.trans_assoc", "PartialEquiv.trans_ofSet", "PartialEquiv.trans_refl", "PartialEquiv.trans_refl_restr", "PartialEquiv.trans_refl_restr'", "PartialEquiv.trans_source", "PartialEquiv.trans_source'", "PartialEquiv.trans_source''", "PartialEquiv.trans_symm_eq_symm_trans_symm", "PartialEquiv.trans_target", "PartialEquiv.trans_target'", "PartialEquiv.trans_transEquiv", "PartialHomeomorph.EqOnSource.eqOn", "PartialHomeomorph.EqOnSource.restr", "PartialHomeomorph.EqOnSource.source_eq", "PartialHomeomorph.EqOnSource.symm'", "PartialHomeomorph.EqOnSource.trans'", "PartialHomeomorph.IsImage.closure", "PartialHomeomorph.IsImage.iff_preimage_eq", "PartialHomeomorph.IsImage.iff_preimage_eq'", "PartialHomeomorph.IsImage.iff_symm_preimage_eq", "PartialHomeomorph.IsImage.iff_symm_preimage_eq'", "PartialHomeomorph.IsImage.image_eq", "PartialHomeomorph.IsImage.inter", "PartialHomeomorph.IsImage.inter_eq_of_inter_eq_of_eqOn", "PartialHomeomorph.IsImage.interior", "PartialHomeomorph.IsImage.isOpen_iff", "PartialHomeomorph.IsImage.leftInvOn_piecewise", "PartialHomeomorph.IsImage.map_nhdsWithin_eq", "PartialHomeomorph.IsImage.mapsTo", "PartialHomeomorph.IsImage.of_image_eq", "PartialHomeomorph.IsImage.of_symm_image_eq", "PartialHomeomorph.IsImage.symm", "PartialHomeomorph.IsImage.symm_apply_mem_iff", "PartialHomeomorph.IsImage.symm_eqOn_of_inter_eq_of_eqOn", "PartialHomeomorph.IsImage.symm_iff", "PartialHomeomorph.IsImage.symm_image_eq", "PartialHomeomorph.IsImage.symm_mapsTo", "PartialHomeomorph.IsImage.toPartialEquiv", "PartialHomeomorph.IsImage.union", "PartialHomeomorph.MDifferentiable.comp_symm_deriv", "PartialHomeomorph.MDifferentiable.mdifferentiableAt", "PartialHomeomorph.MDifferentiable.mdifferentiableAt_symm", "PartialHomeomorph.MDifferentiable.mfderiv_injective", "PartialHomeomorph.MDifferentiable.mfderiv_surjective", "PartialHomeomorph.MDifferentiable.range_mfderiv_eq_top", "PartialHomeomorph.MDifferentiable.range_mfderiv_eq_univ", "PartialHomeomorph.MDifferentiable.symm_comp_deriv", "PartialHomeomorph.MDifferentiable.trans", "PartialHomeomorph.Set.EqOn.restr_eqOn_source", "PartialHomeomorph.ball_subset_univBall_target", "PartialHomeomorph.coe_coe", "PartialHomeomorph.coe_coe_symm", "PartialHomeomorph.coe_trans", "PartialHomeomorph.coe_trans_symm", "PartialHomeomorph.contDiffAt_symm", "PartialHomeomorph.contDiffAt_symm_deriv", "PartialHomeomorph.contDiffOn_extend_coord_change", "PartialHomeomorph.contDiffOn_restrContDiff_target", "PartialHomeomorph.contDiffOn_univBall_symm", "PartialHomeomorph.contDiffOn_univUnitBall_symm", "PartialHomeomorph.contDiffWithinAt_extend_coord_change", "PartialHomeomorph.contDiffWithinAt_extend_coord_change'", "PartialHomeomorph.contDiff_unitBallBall", "PartialHomeomorph.contDiff_unitBallBall_symm", "PartialHomeomorph.contDiff_univBall", "PartialHomeomorph.contDiff_univUnitBall", "PartialHomeomorph.continuousAt_extend_symm", "PartialHomeomorph.continuousAt_extend_symm'", "PartialHomeomorph.continuousAt_iff_continuousAt_comp_left", "PartialHomeomorph.continuousAt_iff_continuousAt_comp_right", "PartialHomeomorph.continuousOn", "PartialHomeomorph.continuousOn_extend_symm", "PartialHomeomorph.continuousOn_iff_continuousOn_comp_left", "PartialHomeomorph.continuousOn_iff_continuousOn_comp_right", "PartialHomeomorph.continuousOn_symm", "PartialHomeomorph.continuousOn_univBall_symm", "PartialHomeomorph.continuousOn_writtenInExtend_iff", "PartialHomeomorph.continuousWithinAt_iff_continuousWithinAt_comp_left", "PartialHomeomorph.continuousWithinAt_iff_continuousWithinAt_comp_right", "PartialHomeomorph.continuousWithinAt_writtenInExtend_iff", "PartialHomeomorph.continuous_iff_continuous_comp_left", "PartialHomeomorph.continuous_univBall", "PartialHomeomorph.eqOnSource_refl", "PartialHomeomorph.eq_of_eqOnSource_univ", "PartialHomeomorph.eq_of_partialEquiv_eq", "PartialHomeomorph.eventually_left_inverse", "PartialHomeomorph.eventually_ne_nhdsWithin", "PartialHomeomorph.eventually_nhds'", "PartialHomeomorph.eventually_nhdsWithin", "PartialHomeomorph.eventually_nhdsWithin'", "PartialHomeomorph.ext_iff", "PartialHomeomorph.extend_coe", "PartialHomeomorph.extend_coe_symm", "PartialHomeomorph.extend_coord_change_source", "PartialHomeomorph.extend_coord_change_source_mem_nhdsWithin", "PartialHomeomorph.extend_coord_change_source_mem_nhdsWithin'", "PartialHomeomorph.extend_image_nhd_mem_nhds_of_boundaryless", "PartialHomeomorph.extend_image_source_inter", "PartialHomeomorph.extend_left_inv", "PartialHomeomorph.extend_left_inv'", "PartialHomeomorph.extend_preimage_inter_eq", "PartialHomeomorph.extend_preimage_mem_nhds", "PartialHomeomorph.extend_preimage_mem_nhdsWithin", "PartialHomeomorph.extend_source", "PartialHomeomorph.extend_source_mem_nhds", "PartialHomeomorph.extend_symm_continuousWithinAt_comp_right_iff", "PartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq", "PartialHomeomorph.extend_symm_preimage_inter_range_eventuallyEq_aux", "PartialHomeomorph.extend_target", "PartialHomeomorph.extend_target'", "PartialHomeomorph.extend_target_mem_nhdsWithin", "PartialHomeomorph.extend_target_subset_range", "PartialHomeomorph.hasDerivAt_symm", "PartialHomeomorph.hasFDerivAt_symm", "PartialHomeomorph.hasStrictFDerivAt_symm", "PartialHomeomorph.image_eq_target_inter_inv_preimage", "PartialHomeomorph.image_source_eq_target", "PartialHomeomorph.image_source_inter_eq", "PartialHomeomorph.image_trans_source", "PartialHomeomorph.injOn", "PartialHomeomorph.interior_extend_target_subset_interior_range", "PartialHomeomorph.inv_image_trans_target", "PartialHomeomorph.isBigOWith_congr", "PartialHomeomorph.isBigO_congr", "PartialHomeomorph.isImage_source_target", "PartialHomeomorph.isLittleO_congr", "PartialHomeomorph.isLocalStructomorphWithinAt_iff", "PartialHomeomorph.isLocalStructomorphWithinAt_iff'", "PartialHomeomorph.isLocalStructomorphWithinAt_source_iff", "PartialHomeomorph.isOpen_extend_preimage", "PartialHomeomorph.isOpen_extend_source", "PartialHomeomorph.isOpen_extend_target", "PartialHomeomorph.isOpen_image_iff_of_subset_source", "PartialHomeomorph.isOpen_image_of_subset_source", "PartialHomeomorph.isOpen_image_source_inter", "PartialHomeomorph.isOpen_inter_preimage", "PartialHomeomorph.isOpen_inter_preimage_symm", "PartialHomeomorph.isOpen_symm_image_iff_of_subset_target", "PartialHomeomorph.leftInvOn", "PartialHomeomorph.left_inv", "PartialHomeomorph.map_extend_nhds", "PartialHomeomorph.map_extend_nhdsWithin", "PartialHomeomorph.map_extend_nhdsWithin_eq_image", "PartialHomeomorph.map_extend_nhdsWithin_eq_image_of_subset", "PartialHomeomorph.map_extend_nhds_of_boundaryless", "PartialHomeomorph.map_extend_symm_nhdsWithin", "PartialHomeomorph.map_extend_symm_nhdsWithin_range", "PartialHomeomorph.map_nhdsWithin_eq", "PartialHomeomorph.map_nhdsWithin_preimage_eq", "PartialHomeomorph.map_nhds_eq", "PartialHomeomorph.map_source''", "PartialHomeomorph.mapsTo", "PartialHomeomorph.mapsTo_extend", "PartialHomeomorph.mem_interior_extend_target", "PartialHomeomorph.mk_coe", "PartialHomeomorph.mk_coe_symm", "PartialHomeomorph.nhdsWithin_extend_target_eq", "PartialHomeomorph.nhdsWithin_source_inter", "PartialHomeomorph.nhds_eq_comap_inf_principal", "PartialHomeomorph.ofSet_symm", "PartialHomeomorph.ofSet_trans", "PartialHomeomorph.ofSet_trans_ofSet", "PartialHomeomorph.openEmbedding_restrict", "PartialHomeomorph.preimage_closure", "PartialHomeomorph.preimage_eventuallyEq_target_inter_preimage_inter", "PartialHomeomorph.preimage_frontier", "PartialHomeomorph.preimage_interior", "PartialHomeomorph.prod_eq_prod_of_nonempty", "PartialHomeomorph.prod_eq_prod_of_nonempty'", "PartialHomeomorph.prod_symm", "PartialHomeomorph.prod_trans", "PartialHomeomorph.refl_partialEquiv", "PartialHomeomorph.refl_prod_refl", "PartialHomeomorph.refl_symm", "PartialHomeomorph.replaceEquiv_eq_self", "PartialHomeomorph.restrOpen_source", "PartialHomeomorph.restrOpen_toPartialEquiv", "PartialHomeomorph.restr_source_inter", "PartialHomeomorph.restr_toPartialEquiv", "PartialHomeomorph.restr_toPartialEquiv'", "PartialHomeomorph.restr_trans", "PartialHomeomorph.restr_univ", "PartialHomeomorph.rightInvOn", "PartialHomeomorph.secondCountableTopology_source", "PartialHomeomorph.self_trans_symm", "PartialHomeomorph.singletonChartedSpace_chartAt_source", "PartialHomeomorph.singletonChartedSpace_mem_atlas_eq", "PartialHomeomorph.singleton_hasGroupoid", "PartialHomeomorph.singleton_smoothManifoldWithCorners", "PartialHomeomorph.source_inter_preimage_inv_preimage", "PartialHomeomorph.source_inter_preimage_target_inter", "PartialHomeomorph.subtypeRestr_coe", "PartialHomeomorph.subtypeRestr_def", "PartialHomeomorph.subtypeRestr_source", "PartialHomeomorph.subtypeRestr_symm_eqOn", "PartialHomeomorph.subtypeRestr_symm_eqOn_of_le", "PartialHomeomorph.subtypeRestr_symm_trans_subtypeRestr", "PartialHomeomorph.surjOn", "PartialHomeomorph.symm_image_eq_source_inter_preimage", "PartialHomeomorph.symm_image_target_eq_source", "PartialHomeomorph.symm_map_nhds_eq", "PartialHomeomorph.symm_mapsTo", "PartialHomeomorph.symm_piecewise", "PartialHomeomorph.symm_source", "PartialHomeomorph.symm_target", "PartialHomeomorph.symm_trans_self", "PartialHomeomorph.tendsto_extend_comp_iff", "PartialHomeomorph.tendsto_symm", "PartialHomeomorph.toPartialEquiv_injective", "PartialHomeomorph.to_openEmbedding", "PartialHomeomorph.transHomeomorph_eq_trans", "PartialHomeomorph.transHomeomorph_transHomeomorph", "PartialHomeomorph.trans_apply", "PartialHomeomorph.trans_assoc", "PartialHomeomorph.trans_ofSet", "PartialHomeomorph.trans_of_set'", "PartialHomeomorph.trans_source", "PartialHomeomorph.trans_symm_eq_symm_trans_symm", "PartialHomeomorph.trans_target'", "PartialHomeomorph.trans_transHomeomorph", "PartialHomeomorph.univBall_apply_zero", "PartialHomeomorph.univBall_source", "PartialHomeomorph.univBall_symm_apply_center", "PartialHomeomorph.univBall_target", "PartialHomeomorph.univUnitBall_symm_apply_zero", "PartialOrder.ext", "PartitionOfUnity.continuous_smul", "PartitionOfUnity.eventually_finsupport_subset", "PartitionOfUnity.eventually_fintsupport_subset", "PartitionOfUnity.exists_finset_nhd", "PartitionOfUnity.exists_finset_nhd'", "PartitionOfUnity.exists_finset_nhd_support_subset", "PartitionOfUnity.exists_isSubordinate", "PartitionOfUnity.exists_isSubordinate_of_locallyFinite", "PartitionOfUnity.exists_pos", "PartitionOfUnity.finite_tsupport", "PartitionOfUnity.finsupport_subset_fintsupport", "PartitionOfUnity.locallyFinite", "PartitionOfUnity.mem_finsupport", "PartitionOfUnity.mem_fintsupport_iff", "PartitionOfUnity.nonneg", "PartitionOfUnity.sum_eq_one", "PartitionOfUnity.sum_finsupport", "PartitionOfUnity.sum_finsupport'", "PartitionOfUnity.sum_finsupport_smul_eq_finsum", "PartitionOfUnity.sum_nonneg", "Partrec.bind", "Partrec.bind_decode\u2082_iff", "Partrec.comp", "Partrec.cond", "Partrec.const'", "Partrec.dom_re", "Partrec.fix", "Partrec.fix_aux", "Partrec.map", "Partrec.map_encode_iff", "Partrec.merge", "Partrec.merge'", "Partrec.nat_casesOn_right", "Partrec.nat_iff", "Partrec.nat_rec", "Partrec.none", "Partrec.of_eq", "Partrec.option_casesOn_right", "Partrec.option_some_iff", "Partrec.rfind", "Partrec.rfindOpt", "Partrec.sum_casesOn", "Partrec.sum_casesOn_left", "Partrec.sum_casesOn_right", "Partrec.to\u2082", "Partrec.vector_mOfFn", "Partrec\u2082.comp", "Partrec\u2082.comp\u2082", "Partrec\u2082.unpaired", "Partrec\u2082.unpaired'", "Path.Homotopic.comp_lift", "Path.Homotopic.comp_pi_eq_pi_comp", "Path.Homotopic.comp_prod_eq_prod_comp", "Path.Homotopic.hcomp", "Path.Homotopic.hpath_hext", "Path.Homotopic.map", "Path.Homotopic.map_lift", "Path.Homotopic.pi_lift", "Path.Homotopic.pi_proj", "Path.Homotopic.prod_lift", "Path.Homotopic.prod_projLeft_projRight", "Path.Homotopic.projLeft_prod", "Path.Homotopic.projRight_prod", "Path.Homotopic.proj_pi", "Path.Homotopic.symm", "Path.Homotopy.coeFn_injective", "Path.Homotopy.continuous_reflTransSymmAux", "Path.Homotopy.continuous_transAssocReparamAux", "Path.Homotopy.continuous_transReflReparamAux", "Path.Homotopy.eval_one", "Path.Homotopy.hcomp_apply", "Path.Homotopy.reflTransSymmAux_mem_I", "Path.Homotopy.symm_bijective", "Path.Homotopy.symm_symm", "Path.Homotopy.symm_trans", "Path.Homotopy.transAssocReparamAux_mem_I", "Path.Homotopy.transAssocReparamAux_one", "Path.Homotopy.transAssocReparamAux_zero", "Path.Homotopy.transReflReparamAux_mem_I", "Path.Homotopy.transReflReparamAux_one", "Path.Homotopy.transReflReparamAux_zero", "Path.Homotopy.trans_assoc_reparam", "Path.Homotopy.trans_refl_reparam", "Path.cast_coe", "Path.coe_mk", "Path.coe_mk_mk", "Path.coe_reparam", "Path.continuous", "Path.continuous_delayReflRight", "Path.continuous_eval", "Path.continuous_extend", "Path.continuous_symm", "Path.continuous_trans", "Path.continuous_uncurry_extend_of_continuous_family", "Path.delayReflLeft_one", "Path.delayReflLeft_zero", "Path.delayReflRight_one", "Path.delayReflRight_zero", "Path.ext", "Path.extend_extends", "Path.extend_extends'", "Path.extend_of_le_zero", "Path.extend_one", "Path.extend_range", "Path.extend_zero", "Path.map_coe", "Path.map_id", "Path.map_map", "Path.map_symm", "Path.map_trans", "Path.ofLine_mem", "Path.prod_coe", "Path.range_reparam", "Path.refl_extend", "Path.refl_range", "Path.refl_reparam", "Path.refl_trans_refl", "Path.reparam_id", "Path.source", "Path.symm_bijective", "Path.symm_cast", "Path.symm_continuous_family", "Path.symm_range", "Path.symm_symm", "Path.target", "Path.trans_cast", "Path.trans_continuous_family", "Path.trans_pi_eq_pi_trans", "Path.trans_prod_eq_prod_trans", "Path.trans_range", "Path.trans_symm", "Path.truncate_continuous_family", "Path.truncate_one_one", "Path.truncate_range", "Path.truncate_self", "Path.truncate_zero_one", "Path.truncate_zero_zero", "PathConnectedSpace.exists_path_through_family", "PathConnectedSpace.exists_path_through_family'", "Pell.IsFundamental.d_nonsquare", "Pell.IsFundamental.d_pos", "Pell.IsFundamental.eq_pow_of_nonneg", "Pell.IsFundamental.eq_zpow_or_neg_zpow", "Pell.IsFundamental.exists_of_not_isSquare", "Pell.IsFundamental.mul_inv_x_lt_x", "Pell.IsFundamental.mul_inv_x_pos", "Pell.IsFundamental.mul_inv_y_nonneg", "Pell.IsFundamental.subsingleton", "Pell.IsFundamental.x_le_x", "Pell.IsFundamental.x_mul_y_le_y_mul_x", "Pell.IsFundamental.x_pos", "Pell.IsFundamental.y_le_y", "Pell.IsFundamental.y_strictMono", "Pell.IsFundamental.zpow_eq_one_iff", "Pell.IsFundamental.zpow_ne_neg_zpow", "Pell.IsFundamental.zpow_y_lt_iff_lt", "Pell.Solution\u2081.coe_mk", "Pell.Solution\u2081.d_nonsquare_of_one_lt_x", "Pell.Solution\u2081.d_pos_of_one_lt_x", "Pell.Solution\u2081.eq_one_of_x_eq_one", "Pell.Solution\u2081.eq_one_or_neg_one_iff_y_eq_zero", "Pell.Solution\u2081.exists_nontrivial_of_not_isSquare", "Pell.Solution\u2081.exists_pos_of_not_isSquare", "Pell.Solution\u2081.exists_pos_variant", "Pell.Solution\u2081.ext", "Pell.Solution\u2081.prop_x", "Pell.Solution\u2081.prop_y", "Pell.Solution\u2081.sign_y_zpow_eq_sign_of_x_pos_of_y_pos", "Pell.Solution\u2081.x_inv", "Pell.Solution\u2081.x_mk", "Pell.Solution\u2081.x_mul", "Pell.Solution\u2081.x_mul_pos", "Pell.Solution\u2081.x_ne_zero", "Pell.Solution\u2081.x_neg", "Pell.Solution\u2081.x_one", "Pell.Solution\u2081.x_pow_pos", "Pell.Solution\u2081.x_zpow_pos", "Pell.Solution\u2081.y_inv", "Pell.Solution\u2081.y_mul", "Pell.Solution\u2081.y_mul_pos", "Pell.Solution\u2081.y_ne_zero_of_one_lt_x", "Pell.Solution\u2081.y_neg", "Pell.Solution\u2081.y_one", "Pell.Solution\u2081.y_pow_succ_pos", "Pell.Solution\u2081.y_zpow_pos", "Pell.asq_pos", "Pell.dvd_of_ysq_dvd", "Pell.dz_val", "Pell.eq_of_xn_modEq'", "Pell.eq_of_xn_modEq_le", "Pell.eq_of_xn_modEq_lem1", "Pell.eq_of_xn_modEq_lem2", "Pell.eq_of_xn_modEq_lem3", "Pell.eq_pell", "Pell.eq_pellZd", "Pell.eq_pell_lem", "Pell.eq_pow_of_pell", "Pell.eq_pow_of_pell_lem", "Pell.existsUnique_pos_generator", "Pell.exists_iff_not_isSquare", "Pell.exists_of_not_isSquare", "Pell.isPell_iff_mem_unitary", "Pell.isPell_mul", "Pell.isPell_nat", "Pell.isPell_norm", "Pell.isPell_one", "Pell.isPell_star", "Pell.is_pell_solution_iff_mem_unitary", "Pell.matiyasevic", "Pell.modEq_of_xn_modEq", "Pell.n_lt_a_pow", "Pell.pellZd_add", "Pell.pellZd_im", "Pell.pellZd_re", "Pell.pellZd_sub", "Pell.pellZd_succ", "Pell.pellZd_succ_succ", "Pell.pell_eq", "Pell.pell_eqz", "Pell.pell_val", "Pell.pos_generator_iff_fundamental", "Pell.strictMono_x", "Pell.strictMono_y", "Pell.x_pos", "Pell.x_sub_y_dvd_pow", "Pell.x_sub_y_dvd_pow_lem", "Pell.xn_add", "Pell.xn_ge_a_pow", "Pell.xn_modEq_x2n_add", "Pell.xn_modEq_x2n_add_lem", "Pell.xn_modEq_x2n_sub", "Pell.xn_modEq_x2n_sub_lem", "Pell.xn_modEq_x4n_add", "Pell.xn_modEq_x4n_sub", "Pell.xn_one", "Pell.xn_succ", "Pell.xn_succ_succ", "Pell.xn_zero", "Pell.xy_coprime", "Pell.xy_modEq_of_modEq", "Pell.xy_modEq_yn", "Pell.xy_succ_succ", "Pell.xz_sub", "Pell.xz_succ", "Pell.xz_succ_succ", "Pell.y_dvd_iff", "Pell.y_mul_dvd", "Pell.yn_add", "Pell.yn_modEq_a_sub_one", "Pell.yn_modEq_two", "Pell.yn_succ", "Pell.yn_succ_succ", "Pell.yn_zero", "Pell.ysq_dvd_yy", "Pell.yz_sub", "Pell.yz_succ", "Pell.yz_succ_succ", "Perfect.closure_nhds_inter", "Perfect.exists_nat_bool_injection", "Perfect.small_diam_aux", "Perfect.small_diam_splitting", "Perfect.splitting", "PerfectClosure.R.sound", "PerfectClosure.add_aux_left", "PerfectClosure.add_aux_right", "PerfectClosure.eq_iff", "PerfectClosure.frobenius_mk", "PerfectClosure.intCast", "PerfectClosure.iterate_frobenius_mk", "PerfectClosure.mk_eq_iff", "PerfectClosure.mk_mul_mk", "PerfectClosure.mk_pow", "PerfectClosure.mk_succ_pow", "PerfectClosure.mk_zero", "PerfectClosure.mk_zero_zero", "PerfectClosure.mul_aux_left", "PerfectClosure.mul_aux_right", "PerfectClosure.natCast", "PerfectClosure.natCast_eq_iff", "PerfectClosure.quot_mk_eq_mk", "PerfectClosure.zero_def", "PerfectField.separable_iff_squarefree", "PerfectPairing.apply_apply_toDualRight_symm", "PerfectPairing.apply_toDualLeft_symm_apply", "PerfectPairing.bijective_toDualRight_symm_toDualLeft", "PerfectPairing.flip_flip", "PerfectPairing.reflexive_left", "PerfectPairing.toDualLeft_apply", "PerfectPairing.toDualLeft_of_toDualRight_symm", "PerfectPairing.toDualRight_apply", "PerfectPairing.toDualRight_symm_comp_toDualLeft", "PerfectPairing.toDualRight_symm_toDualLeft", "PerfectRing.liftAux_apply", "PerfectRing.liftAux_id", "PerfectRing.liftAux_id_apply", "PerfectRing.liftAux_self", "PerfectRing.liftAux_self_apply", "PerfectRing.liftEquiv_apply", "PerfectRing.liftEquiv_id", "PerfectRing.liftEquiv_id_apply", "PerfectRing.liftEquiv_symm_apply", "PerfectRing.liftEquiv_trans", "PerfectRing.lift_apply", "PerfectRing.lift_aux", "PerfectRing.lift_comp_apply", "PerfectRing.lift_comp_lift_apply_eq_self", "PerfectRing.lift_comp_lift_eq_id", "PerfectRing.lift_id", "PerfectRing.lift_lift", "PerfectRing.lift_lift_apply", "PerfectRing.lift_self_apply", "PerfectRing.pNilradical_eq_bot", "PerfectRing.toPerfectField", "PerfectSpace.univ_perfect", "Perfection.coeff_add_ne_zero", "Perfection.coeff_frobenius", "Perfection.coeff_iterate_frobenius", "Perfection.coeff_iterate_frobenius'", "Perfection.coeff_map", "Perfection.coeff_pow_p", "Perfection.coeff_pow_p'", "Perfection.coeff_pthRoot", "Perfection.ext", "Perfection.frobenius_pthRoot", "Perfection.hom_ext", "Perfection.pthRoot_frobenius", "PerfectionMap.comp_equiv", "PerfectionMap.comp_equiv'", "PerfectionMap.comp_map", "PerfectionMap.comp_symm_equiv", "PerfectionMap.comp_symm_equiv'", "PerfectionMap.hom_ext", "PerfectionMap.id", "PerfectionMap.map_eq_map", "PerfectionMap.of", "PhragmenLindelof.eqOn_horizontal_strip", "PhragmenLindelof.eqOn_quadrant_I", "PhragmenLindelof.eqOn_quadrant_III", "PhragmenLindelof.eqOn_quadrant_IV", "PhragmenLindelof.eqOn_right_half_plane_of_superexponential_decay", "PhragmenLindelof.eq_zero_on_quadrant_I", "PhragmenLindelof.eq_zero_on_quadrant_III", "PhragmenLindelof.eq_zero_on_right_half_plane_of_superexponential_decay", "PhragmenLindelof.eq_zero_on_vertical_strip", "PhragmenLindelof.horizontal_strip", "PhragmenLindelof.isBigO_sub_exp_exp", "PhragmenLindelof.isBigO_sub_exp_rpow", "PhragmenLindelof.quadrant_I", "PhragmenLindelof.quadrant_II", "PhragmenLindelof.quadrant_III", "PhragmenLindelof.quadrant_IV", "PhragmenLindelof.right_half_plane_of_bounded_on_real", "PhragmenLindelof.right_half_plane_of_tendsto_zero_on_real", "PhragmenLindelof.vertical_strip", "Pi.Lex.noMaxOrder'", "Pi.Lex.wellFounded", "Pi.OmegaCompletePartialOrder.flip\u2081_continuous'", "Pi.OmegaCompletePartialOrder.flip\u2082_continuous'", "Pi.algebraMap_apply", "Pi.algebraMap_def", "Pi.apply_mulSingle", "Pi.apply_mulSingle\u2082", "Pi.basisFun_apply", "Pi.basisFun_det", "Pi.basisFun_equivFun", "Pi.basisFun_repr", "Pi.basis_repr_stdBasis", "Pi.bihimp_apply", "Pi.bot_apply", "Pi.bot_def", "Pi.card_Icc", "Pi.card_Ico", "Pi.card_Iic", "Pi.card_Iio", "Pi.card_Ioc", "Pi.card_Ioi", "Pi.card_Ioo", "Pi.ceilDiv_apply", "Pi.codisjoint_iff", "Pi.coe_evalLatticeHom", "Pi.compRightL_apply", "Pi.compl_apply", "Pi.compl_def", "Pi.conj_apply", "Pi.constAlgHom_eq_algebra_ofId", "Pi.constRingHom_eq_algebraMap", "Pi.continuous_curry", "Pi.continuous_postcomp", "Pi.continuous_postcomp'", "Pi.continuous_precomp", "Pi.continuous_precomp'", "Pi.continuous_restrict", "Pi.continuous_uncurry", "Pi.default_apply", "Pi.disjoint_iff", "Pi.div_apply", "Pi.div_comp", "Pi.div_def", "Pi.eq_bot_iff", "Pi.evalLatticeHom_apply", "Pi.exists_compact_superset_iff", "Pi.exists_forall_pos_add_lt", "Pi.exp_apply", "Pi.faithfulSMul_at", "Pi.floorDiv_apply", "Pi.floorDiv_def", "Pi.hasProd", "Pi.himp_def", "Pi.hnot_apply", "Pi.hnot_def", "Pi.image_update_openSegment", "Pi.image_update_segment", "Pi.induced_precomp", "Pi.induced_precomp'", "Pi.induced_restrict", "Pi.induced_restrict_sUnion", "Pi.inf_apply", "Pi.inf_def", "Pi.infinite_of_exists_right", "Pi.intCast_def", "Pi.inv_apply", "Pi.inv_comp", "Pi.isAtom_iff", "Pi.isAtom_iff_eq_single", "Pi.isAtom_single", "Pi.isCompact_closure_iff", "Pi.isCompact_iff", "Pi.isCompact_iff_of_isClosed", "Pi.isCompl_iff", "Pi.isPWO", "Pi.isSelfAdjoint", "Pi.isTrichotomous_lex", "Pi.ker_ringHom", "Pi.kstar_apply", "Pi.kstar_def", "Pi.leOnePart_apply", "Pi.leOnePart_def", "Pi.le_def", "Pi.le_toLex_update_self_iff", "Pi.lex_desc", "Pi.lex_eq_dfinsupp_lex", "Pi.lex_lt_of_lt", "Pi.linearIndependent_stdBasis", "Pi.list_prod_apply", "Pi.lt_def", "Pi.lt_toLex_update_self_iff", "Pi.monoidHom_injective", "Pi.mulHom_injective", "Pi.mulSingle_apply", "Pi.mulSingle_apply_commute", "Pi.mulSingle_comm", "Pi.mulSingle_commute", "Pi.mulSingle_div", "Pi.mulSingle_eq_of_ne", "Pi.mulSingle_eq_same", "Pi.mulSingle_inv", "Pi.mulSingle_mul_mulSingle_eq_mulSingle_mul_mulSingle", "Pi.mulSingle_one", "Pi.mulSingle_op", "Pi.mulSingle_strictMono", "Pi.mulSupport_mulSingle", "Pi.mulSupport_mulSingle_disjoint", "Pi.mulSupport_mulSingle_of_ne", "Pi.mulSupport_mulSingle_one", "Pi.mul_apply", "Pi.mul_comp", "Pi.mul_def", "Pi.multipliable", "Pi.multiset_prod_apply", "Pi.natCast_apply", "Pi.natCast_def", "Pi.nnnorm_def'", "Pi.nnnorm_single", "Pi.nonUnitalRingHom_injective", "Pi.nontrivial_at", "Pi.norm_def'", "Pi.norm_single", "Pi.ofLex_apply", "Pi.ofNat_apply", "Pi.oneLePart_apply", "Pi.oneLePart_def", "Pi.one_apply", "Pi.one_comp", "Pi.openSegment_subset", "Pi.orthonormalBasis_apply", "Pi.orthonormalBasis_repr", "Pi.pow_apply", "Pi.pow_comp", "Pi.pow_def", "Pi.prod_fst_snd", "Pi.sdiff_apply", "Pi.sdiff_def", "Pi.segment_subset", "Pi.semiconjBy_iff", "Pi.single_mul", "Pi.single_mul_left", "Pi.single_mul_right", "Pi.single_smul'", "Pi.single_smul\u2080", "Pi.single_star", "Pi.smul_apply'", "Pi.star_apply", "Pi.sum_nnnorm_apply_le_nnnorm'", "Pi.sum_norm_apply_le_norm'", "Pi.sup_apply", "Pi.symmDiff_apply", "Pi.toLex_apply", "Pi.toLex_monotone", "Pi.toLex_strictMono", "Pi.toLex_update_le_self_iff", "Pi.toLex_update_lt_self_iff", "Pi.top_apply", "Pi.top_def", "Pi.uIcc_eq", "Pi.uncurry_curry_continuous", "Pi.uniformContinuous_postcomp", "Pi.uniformContinuous_precomp'", "Pi.uniformContinuous_proj", "Pi.uniformContinuous_restrict", "Pi.uniformSpace_comap_precomp", "Pi.uniformSpace_comap_precomp'", "Pi.uniformSpace_comap_restrict", "Pi.uniformSpace_comap_restrict_sUnion", "Pi.uniformSpace_eq", "Pi.uniformity", "Pi.update_eq_div_mul_mulSingle", "PiCountable.dist_eq_tsum", "PiCountable.dist_le_dist_pi_of_dist_lt", "PiCountable.dist_summable", "PiLp.add_apply", "PiLp.antilipschitzWith_equiv", "PiLp.antilipschitzWith_equiv_aux", "PiLp.aux_cobounded_eq", "PiLp.aux_uniformity_eq", "PiLp.basisFun_apply", "PiLp.basisFun_eq_pi_basisFun", "PiLp.basisFun_equivFun", "PiLp.basisFun_repr", "PiLp.basis_toMatrix_basisFun_mul", "PiLp.continuous_equiv", "PiLp.continuous_equiv_symm", "PiLp.dist_eq_card", "PiLp.dist_eq_iSup", "PiLp.dist_eq_of_L2", "PiLp.dist_eq_sum", "PiLp.dist_equiv_symm_single_same", "PiLp.edist_comm", "PiLp.edist_eq_card", "PiLp.edist_eq_iSup", "PiLp.edist_eq_of_L2", "PiLp.edist_eq_sum", "PiLp.edist_equiv_symm_single_same", "PiLp.edist_self", "PiLp.ext", "PiLp.iSup_edist_ne_top_aux", "PiLp.infty_equiv_isometry", "PiLp.lipschitzWith_equiv", "PiLp.lipschitzWith_equiv_aux", "PiLp.neg_apply", "PiLp.nndist_eq_iSup", "PiLp.nndist_eq_sum", "PiLp.nndist_equiv_symm_single_same", "PiLp.nnnorm_eq_ciSup", "PiLp.nnnorm_eq_of_L2", "PiLp.nnnorm_eq_sum", "PiLp.nnnorm_equiv", "PiLp.nnnorm_equiv_symm", "PiLp.nnnorm_equiv_symm_const", "PiLp.nnnorm_equiv_symm_const'", "PiLp.nnnorm_equiv_symm_one", "PiLp.nnnorm_equiv_symm_single", "PiLp.norm_eq_card", "PiLp.norm_eq_ciSup", "PiLp.norm_eq_of_L2", "PiLp.norm_eq_of_nat", "PiLp.norm_eq_sum", "PiLp.norm_equiv", "PiLp.norm_equiv_symm", "PiLp.norm_equiv_symm_const'", "PiLp.norm_equiv_symm_one", "PiLp.norm_equiv_symm_single", "PiLp.norm_sq_eq_of_L2", "PiLp.smul_apply", "PiLp.volume_preserving_equiv", "PiLp.volume_preserving_equiv_symm", "PiLp.zero_apply", "PiNat.apply_eq_of_dist_lt", "PiNat.apply_eq_of_lt_firstDiff", "PiNat.apply_firstDiff_ne", "PiNat.completeSpace", "PiNat.cylinder_anti", "PiNat.cylinder_eq_cylinder_of_le_firstDiff", "PiNat.cylinder_eq_pi", "PiNat.cylinder_eq_res", "PiNat.cylinder_longestPrefix_eq_of_longestPrefix_lt_firstDiff", "PiNat.cylinder_zero", "PiNat.disjoint_cylinder_of_longestPrefix_lt", "PiNat.dist_comm", "PiNat.dist_eq_of_ne", "PiNat.dist_nonneg", "PiNat.dist_self", "PiNat.dist_triangle", "PiNat.dist_triangle_nonarch", "PiNat.eq_of_dist_eq_zero", "PiNat.exists_disjoint_cylinder", "PiNat.exists_lipschitz_retraction_of_isClosed", "PiNat.exists_retraction_of_isClosed", "PiNat.exists_retraction_subtype_of_isClosed", "PiNat.firstDiff_comm", "PiNat.firstDiff_le_longestPrefix", "PiNat.firstDiff_lt_shortestPrefixDiff", "PiNat.iUnion_cylinder_update", "PiNat.inter_cylinder_longestPrefix_nonempty", "PiNat.isOpen_cylinder", "PiNat.isOpen_iff_dist", "PiNat.isTopologicalBasis_cylinders", "PiNat.lipschitz_with_one_iff_forall_dist_image_le_of_mem_cylinder", "PiNat.mem_cylinder_comm", "PiNat.mem_cylinder_firstDiff", "PiNat.mem_cylinder_iff_dist_le", "PiNat.mem_cylinder_iff_eq", "PiNat.mem_cylinder_iff_le_firstDiff", "PiNat.min_firstDiff_le", "PiNat.res_eq_res", "PiNat.res_injective", "PiNat.res_length", "PiNat.res_succ", "PiNat.self_mem_cylinder", "PiNat.shortestPrefixDiff_pos", "PiTensorProduct.add_tprodCoeff", "PiTensorProduct.add_tprodCoeff'", "PiTensorProduct.algHom_ext", "PiTensorProduct.algebraMap_apply", "PiTensorProduct.bddBelow_projectiveSemiNormAux", "PiTensorProduct.congr_symm_tprod", "PiTensorProduct.congr_tprod", "PiTensorProduct.constantBaseRingEquiv_symm", "PiTensorProduct.constantBaseRingEquiv_tprod", "PiTensorProduct.dualSeminorms_bounded", "PiTensorProduct.ext", "PiTensorProduct.gradedMonoid_eq_of_reindex_cast", "PiTensorProduct.induction_on", "PiTensorProduct.induction_on'", "PiTensorProduct.injectiveSeminorm_apply", "PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm", "PiTensorProduct.isEmptyEquiv_apply_tprod", "PiTensorProduct.lift.tprod", "PiTensorProduct.lift.unique", "PiTensorProduct.lift.unique'", "PiTensorProduct.liftAux.smul", "PiTensorProduct.liftAux_tprod", "PiTensorProduct.liftAux_tprodCoeff", "PiTensorProduct.liftIsometry_apply_apply", "PiTensorProduct.liftIsometry_comp_mapL", "PiTensorProduct.liftIsometry_symm_apply", "PiTensorProduct.liftIsometry_tprodL", "PiTensorProduct.lift_comp_map", "PiTensorProduct.lift_comp_reindex", "PiTensorProduct.lift_comp_reindex_symm", "PiTensorProduct.lift_reindex_symm", "PiTensorProduct.lift_symm", "PiTensorProduct.lifts_add", "PiTensorProduct.lifts_smul", "PiTensorProduct.lifts_zero", "PiTensorProduct.mapLMultilinear_opNorm", "PiTensorProduct.mapL_add", "PiTensorProduct.mapL_add_smul_aux", "PiTensorProduct.mapL_apply", "PiTensorProduct.mapL_coe", "PiTensorProduct.mapL_comp", "PiTensorProduct.mapL_id", "PiTensorProduct.mapL_one", "PiTensorProduct.mapL_opNorm", "PiTensorProduct.mapL_pow", "PiTensorProduct.mapL_smul", "PiTensorProduct.map_add", "PiTensorProduct.map_add_smul_aux", "PiTensorProduct.map_comp", "PiTensorProduct.map_comp_reindex_eq", "PiTensorProduct.map_comp_reindex_symm", "PiTensorProduct.map_id", "PiTensorProduct.map_mul", "PiTensorProduct.map_one", "PiTensorProduct.map_pow", "PiTensorProduct.map_range_eq_span_tprod", "PiTensorProduct.map_reindex", "PiTensorProduct.map_smul", "PiTensorProduct.map_tprod", "PiTensorProduct.mem_lifts_iff", "PiTensorProduct.mul_assoc", "PiTensorProduct.mul_comm", "PiTensorProduct.mul_def", "PiTensorProduct.mul_one", "PiTensorProduct.mul_tprod_tprod", "PiTensorProduct.nonempty_lifts", "PiTensorProduct.norm_eval_le_injectiveSeminorm", "PiTensorProduct.norm_eval_le_projectiveSeminorm", "PiTensorProduct.one_def", "PiTensorProduct.one_mul", "PiTensorProduct.piTensorHomMapFun\u2082_add", "PiTensorProduct.piTensorHomMapFun\u2082_smul", "PiTensorProduct.piTensorHomMap_tprod_eq_map", "PiTensorProduct.piTensorHomMap\u2082_tprod_tprod_tprod", "PiTensorProduct.projectiveSeminormAux_add_le", "PiTensorProduct.projectiveSeminormAux_nonneg", "PiTensorProduct.projectiveSeminormAux_smul", "PiTensorProduct.projectiveSeminorm_tprod_le", "PiTensorProduct.reindex_comp_tprod", "PiTensorProduct.reindex_refl", "PiTensorProduct.reindex_symm", "PiTensorProduct.reindex_tprod", "PiTensorProduct.reindex_trans", "PiTensorProduct.smul_add", "PiTensorProduct.smul_tprodCoeff", "PiTensorProduct.smul_tprodCoeff'", "PiTensorProduct.smul_tprod_mul_smul_tprod", "PiTensorProduct.span_tprod_eq_top", "PiTensorProduct.subsingletonEquiv_apply_tprod", "PiTensorProduct.tmulEquiv_apply", "PiTensorProduct.tmulEquiv_symm_apply", "PiTensorProduct.tmulSymm_apply", "PiTensorProduct.tmul_apply", "PiTensorProduct.toDualContinuousMultilinearMap_le_projectiveSeminorm", "PiTensorProduct.tprodCoeff_eq_smul_tprod", "PiTensorProduct.tprodL_coe", "PiTensorProduct.tprod_eq_tprodCoeff_one", "PiTensorProduct.tprod_noncommProd", "PiTensorProduct.tprod_prod", "PiTensorProduct.zero_tprodCoeff", "PiTensorProduct.zero_tprodCoeff'", "PiToModule.fromEnd_apply", "PiToModule.fromEnd_apply_single_one", "PiToModule.fromEnd_injective", "PiToModule.fromMatrix_apply_single_one", "PicardLindelof.FunSpace.continuous", "PicardLindelof.FunSpace.continuous_vComp", "PicardLindelof.FunSpace.dist_apply_le_dist", "PicardLindelof.FunSpace.dist_iterate_next_apply_le", "PicardLindelof.FunSpace.dist_iterate_next_le", "PicardLindelof.FunSpace.dist_le_of_forall", "PicardLindelof.FunSpace.dist_next_apply_le_of_le", "PicardLindelof.FunSpace.hasDerivWithinAt_next", "PicardLindelof.FunSpace.intervalIntegrable_vComp", "PicardLindelof.FunSpace.lipschitz", "PicardLindelof.FunSpace.map_t\u2080", "PicardLindelof.FunSpace.range_toContinuousMap", "PicardLindelof.continuousOn", "PicardLindelof.continuous_proj", "PicardLindelof.dist_t\u2080_le", "PicardLindelof.exists_contracting_iterate", "PicardLindelof.exists_solution", "PicardLindelof.lipschitzOnWith", "PicardLindelof.nonempty_Icc", "PicardLindelof.norm_le", "PicardLindelof.proj_of_mem", "PicardLindelof.tDist_nonneg", "Pointed.coe_of", "PointedCone.coe_map", "PointedCone.comap_id", "PointedCone.ext", "PointedCone.mem_closure", "PointedCone.mem_comap", "PointedCone.toConvexCone_closure_pointed", "PointedCone.toConvexCone_dual", "PointedCone.toConvexCone_pointed", "PointedCone.toConvexCone_positive", "PointedSmoothMap.smul_def", "PolishSpace.IsClopenable.compl", "PolishSpace.IsClopenable.iUnion", "PolishSpace.exists_nat_nat_continuous_surjective", "PolishSpace.exists_polishSpace_forall_le", "PolishSpace.iInf", "Poly.coe_one", "Poly.coe_sub", "Poly.coe_zero", "Poly.const_apply", "Poly.isPoly", "Poly.mul_apply", "Poly.neg_apply", "Poly.sub_apply", "Poly.sumsq_eq_zero", "Poly.sumsq_nonneg", "Poly.zero_apply", "PolyEquivTensor.invFun_add", "PolyEquivTensor.invFun_monomial", "PolyEquivTensor.left_inv", "PolyEquivTensor.right_inv", "PolyEquivTensor.toFunAlgHom_apply_tmul", "PolyEquivTensor.toFunBilinear_apply_eq_sum", "PolyEquivTensor.toFunLinear_mul_tmul_mul", "PolyEquivTensor.toFunLinear_mul_tmul_mul_aux_1", "PolyEquivTensor.toFunLinear_mul_tmul_mul_aux_2", "PolyEquivTensor.toFunLinear_one_tmul_one", "PolyEquivTensor.toFunLinear_tmul_apply", "Polynomial.C'_mem_lifts", "Polynomial.C_0", "Polynomial.C_1", "Polynomial.C_add", "Polynomial.C_comp", "Polynomial.C_content_dvd", "Polynomial.C_dvd_iff_dvd_coeff", "Polynomial.C_eq_algebraMap", "Polynomial.C_eq_intCast", "Polynomial.C_eq_natCast", "Polynomial.C_eq_zero", "Polynomial.C_half_mul_two_eq_one", "Polynomial.C_inj", "Polynomial.C_injective", "Polynomial.C_leadingCoeff_mul_prod_multiset_X_sub_C", "Polynomial.C_mem_lifts", "Polynomial.C_mul", "Polynomial.C_mul'", "Polynomial.C_mul_X_eq_monomial", "Polynomial.C_mul_X_pow_eq_monomial", "Polynomial.C_mul_X_pow_eq_self", "Polynomial.C_mul_comp", "Polynomial.C_mul_dvd", "Polynomial.C_mul_monomial", "Polynomial.C_ne_zero", "Polynomial.C_neg", "Polynomial.C_smul_derivation_apply", "Polynomial.C_sub", "Polynomial.Chebyshev.T_add_one", "Polynomial.Chebyshev.T_add_two", "Polynomial.Chebyshev.T_complex_cos", "Polynomial.Chebyshev.T_derivative_eq_U", "Polynomial.Chebyshev.T_eq", "Polynomial.Chebyshev.T_eq_U_sub_X_mul_U", "Polynomial.Chebyshev.T_eq_X_mul_T_sub_pol_U", "Polynomial.Chebyshev.T_mul", "Polynomial.Chebyshev.T_natAbs", "Polynomial.Chebyshev.T_neg", "Polynomial.Chebyshev.T_neg_one", "Polynomial.Chebyshev.T_one", "Polynomial.Chebyshev.T_real_cos", "Polynomial.Chebyshev.T_sub_one", "Polynomial.Chebyshev.T_sub_two", "Polynomial.Chebyshev.T_two", "Polynomial.Chebyshev.T_zero", "Polynomial.Chebyshev.U_add_one", "Polynomial.Chebyshev.U_add_two", "Polynomial.Chebyshev.U_complex_cos", "Polynomial.Chebyshev.U_eq", "Polynomial.Chebyshev.U_eq_X_mul_U_add_T", "Polynomial.Chebyshev.U_neg", "Polynomial.Chebyshev.U_neg_sub_one", "Polynomial.Chebyshev.U_neg_sub_two", "Polynomial.Chebyshev.U_neg_two", "Polynomial.Chebyshev.U_one", "Polynomial.Chebyshev.U_sub_one", "Polynomial.Chebyshev.U_sub_two", "Polynomial.Chebyshev.U_two", "Polynomial.Chebyshev.add_one_mul_T_eq_poly_in_U", "Polynomial.Chebyshev.aeval_T", "Polynomial.Chebyshev.aeval_U", "Polynomial.Chebyshev.algebraMap_eval_T", "Polynomial.Chebyshev.algebraMap_eval_U", "Polynomial.Chebyshev.complex_ofReal_eval_U", "Polynomial.Chebyshev.induct", "Polynomial.Chebyshev.map_T", "Polynomial.Chebyshev.map_U", "Polynomial.Chebyshev.mul_T", "Polynomial.Chebyshev.one_sub_X_sq_mul_U_eq_pol_in_T", "Polynomial.Chebyshev.one_sub_X_sq_mul_derivative_T_eq_poly_in_T", "Polynomial.EisensteinCriterionAux.eval_zero_mem_ideal_of_eq_mul_X_pow", "Polynomial.EisensteinCriterionAux.isUnit_of_natDegree_eq_zero_of_isPrimitive", "Polynomial.EisensteinCriterionAux.le_natDegree_of_map_eq_mul_X_pow", "Polynomial.EisensteinCriterionAux.map_eq_C_mul_X_pow_of_forall_coeff_mem", "Polynomial.Gal.card_complex_roots_eq_card_real_add_card_not_gal_inv", "Polynomial.Gal.card_of_separable", "Polynomial.Gal.ext", "Polynomial.Gal.galActionHom_bijective_of_prime_degree", "Polynomial.Gal.galActionHom_bijective_of_prime_degree'", "Polynomial.Gal.galActionHom_injective", "Polynomial.Gal.galActionHom_restrict", "Polynomial.Gal.galAction_isPretransitive", "Polynomial.Gal.mapRoots_bijective", "Polynomial.Gal.mul_splits_in_splittingField_of_mul", "Polynomial.Gal.prime_degree_dvd_card", "Polynomial.Gal.restrictComp_surjective", "Polynomial.Gal.restrictDvd_def", "Polynomial.Gal.restrictDvd_surjective", "Polynomial.Gal.restrictProd_injective", "Polynomial.Gal.restrict_smul", "Polynomial.Gal.restrict_surjective", "Polynomial.Gal.splits_in_splittingField_of_comp", "Polynomial.HasSeparableContraction.eq_degree", "Polynomial.HasSeparableContraction.natSepDegree_eq", "Polynomial.IsEisensteinAt.coeff_mem", "Polynomial.IsEisensteinAt.isWeaklyEisensteinAt", "Polynomial.IsPrimitive.content_eq_one", "Polynomial.IsPrimitive.dvd_iff_fraction_map_dvd_fraction_map", "Polynomial.IsPrimitive.dvd_of_fraction_map_dvd_fraction_map", "Polynomial.IsPrimitive.dvd_primPart_iff_dvd", "Polynomial.IsPrimitive.irreducible_iff_irreducible_map_fraction_map", "Polynomial.IsPrimitive.irreducible_of_irreducible_map_of_injective", "Polynomial.IsPrimitive.isUnit_iff_isUnit_map", "Polynomial.IsPrimitive.isUnit_iff_isUnit_map_of_injective", "Polynomial.IsPrimitive.mul", "Polynomial.IsPrimitive.ne_zero", "Polynomial.IsPrimitive.primPart_eq", "Polynomial.IsRoot.def", "Polynomial.IsRoot.dvd", "Polynomial.IsRoot.eq_zero", "Polynomial.IsRoot.map", "Polynomial.IsRoot.of_map", "Polynomial.IsSeparableContraction.degree_eq", "Polynomial.IsSplittingField.adjoin_rootSet", "Polynomial.IsSplittingField.adjoin_rootSet_eq_range", "Polynomial.IsSplittingField.finiteDimensional", "Polynomial.IsSplittingField.mul", "Polynomial.IsSplittingField.of_algEquiv", "Polynomial.IsSplittingField.splits", "Polynomial.IsSplittingField.splits_iff", "Polynomial.IsUnitTrinomial.coeff_isUnit", "Polynomial.IsUnitTrinomial.irreducible_aux1", "Polynomial.IsUnitTrinomial.irreducible_aux2", "Polynomial.IsUnitTrinomial.irreducible_aux3", "Polynomial.IsUnitTrinomial.irreducible_of_coprime", "Polynomial.IsUnitTrinomial.irreducible_of_coprime'", "Polynomial.IsUnitTrinomial.irreducible_of_isCoprime", "Polynomial.IsUnitTrinomial.leadingCoeff_isUnit", "Polynomial.IsUnitTrinomial.not_isUnit", "Polynomial.IsUnitTrinomial.trailingCoeff_isUnit", "Polynomial.IsWeaklyEisensteinAt.exists_mem_adjoin_mul_eq_pow_natDegree", "Polynomial.IsWeaklyEisensteinAt.exists_mem_adjoin_mul_eq_pow_natDegree_le", "Polynomial.IsWeaklyEisensteinAt.map", "Polynomial.IsWeaklyEisensteinAt.pow_natDegree_le_of_aeval_zero_of_monic_mem_map", "Polynomial.IsWeaklyEisensteinAt.pow_natDegree_le_of_root_of_monic_mem", "Polynomial.Monic.C_dvd_iff_isUnit", "Polynomial.Monic.add_of_left", "Polynomial.Monic.add_of_right", "Polynomial.Monic.as_sum", "Polynomial.Monic.coeff_natDegree", "Polynomial.Monic.comp", "Polynomial.Monic.comp_X_add_C", "Polynomial.Monic.def", "Polynomial.Monic.degree_le_zero_iff_eq_one", "Polynomial.Monic.degree_map", "Polynomial.Monic.degree_mul", "Polynomial.Monic.degree_mul_comm", "Polynomial.Monic.degree_pos", "Polynomial.Monic.degree_pos_of_not_isUnit", "Polynomial.Monic.dvd_of_fraction_map_dvd_fraction_map", "Polynomial.Monic.eq_X_add_C", "Polynomial.Monic.eq_X_pow_char_pow_sub_C_of_natSepDegree_eq_one_of_irreducible", "Polynomial.Monic.eq_X_pow_char_pow_sub_C_pow_of_natSepDegree_eq_one", "Polynomial.Monic.eq_X_pow_iff_natDegree_le_natTrailingDegree", "Polynomial.Monic.eq_X_sub_C_pow_of_natSepDegree_eq_one_of_splits", "Polynomial.Monic.eq_one_of_isUnit", "Polynomial.Monic.eq_one_of_map_eq_one", "Polynomial.Monic.geom_sum", "Polynomial.Monic.geom_sum'", "Polynomial.Monic.irreducible_iff_degree_lt", "Polynomial.Monic.irreducible_iff_irreducible_map_fraction_map", "Polynomial.Monic.irreducible_iff_lt_natDegree_lt", "Polynomial.Monic.irreducible_iff_natDegree", "Polynomial.Monic.irreducible_iff_natDegree'", "Polynomial.Monic.irreducible_iff_roots_eq_zero_of_degree_le_three", "Polynomial.Monic.irreducible_of_irreducible_map", "Polynomial.Monic.irreducible_of_irreducible_map_of_isPrime_nilradical", "Polynomial.Monic.isEisensteinAt_of_mem_of_not_mem", "Polynomial.Monic.isPrimitive", "Polynomial.Monic.isRegular", "Polynomial.Monic.isUnit_leadingCoeff_of_dvd", "Polynomial.Monic.leadingCoeff", "Polynomial.Monic.leadingCoeff_not_mem", "Polynomial.Monic.map", "Polynomial.Monic.mem_nonZeroDivisors", "Polynomial.Monic.mul", "Polynomial.Monic.mul_left_eq_zero_iff", "Polynomial.Monic.mul_left_ne_zero", "Polynomial.Monic.mul_natDegree_lt_iff", "Polynomial.Monic.mul_right_ne_zero", "Polynomial.Monic.natDegree_eq_zero", "Polynomial.Monic.natDegree_eq_zero_iff_eq_one", "Polynomial.Monic.natDegree_map", "Polynomial.Monic.natDegree_mul", "Polynomial.Monic.natDegree_mul_comm", "Polynomial.Monic.natDegree_pow", "Polynomial.Monic.natSepDegree_eq_one_iff", "Polynomial.Monic.ne_zero", "Polynomial.Monic.ne_zero_of_polynomial_ne", "Polynomial.Monic.nextCoeff_mul", "Polynomial.Monic.nextCoeff_multiset_prod", "Polynomial.Monic.nextCoeff_pow", "Polynomial.Monic.nextCoeff_prod", "Polynomial.Monic.normalize_eq_self", "Polynomial.Monic.not_dvd_of_natDegree_lt", "Polynomial.Monic.not_irreducible_iff_exists_add_mul_eq_coeff", "Polynomial.Monic.pow", "Polynomial.Monic.prime_of_degree_eq_one", "Polynomial.Monic.sub_of_left", "Polynomial.Monic.sub_of_right", "Polynomial.Nontrivial.of_polynomial_ne", "Polynomial.Separable.aeval_derivative_ne_zero", "Polynomial.Separable.comap_minpoly_of_isSeparable", "Polynomial.Separable.eval\u2082_derivative_ne_zero", "Polynomial.Separable.inj_of_prod_X_sub_C", "Polynomial.Separable.injective_of_prod_X_sub_C", "Polynomial.Separable.isCoprime", "Polynomial.Separable.isIntegral", "Polynomial.Separable.map", "Polynomial.Separable.map_irreducible_of_isPurelyInseparable", "Polynomial.Separable.map_minpoly", "Polynomial.Separable.mul", "Polynomial.Separable.mul_unit", "Polynomial.Separable.ne_zero", "Polynomial.Separable.of_dvd", "Polynomial.Separable.of_mul_left", "Polynomial.Separable.of_mul_right", "Polynomial.Separable.of_pow'", "Polynomial.Separable.squarefree", "Polynomial.Separable.unit_mul", "Polynomial.SplittingField.adjoin_rootSet", "Polynomial.SplittingField.splits", "Polynomial.SplittingFieldAux.adjoin_rootSet", "Polynomial.SplittingFieldAux.algebraMap_succ", "Polynomial.SplittingFieldAux.splits", "Polynomial.SplittingFieldAux.succ", "Polynomial.TrailingMonic.def", "Polynomial.TrailingMonic.trailingCoeff", "Polynomial.X_add_C_ne_one", "Polynomial.X_add_C_ne_zero", "Polynomial.X_comp", "Polynomial.X_dvd_iff", "Polynomial.X_dvd_sub_C", "Polynomial.X_eq_normalize", "Polynomial.X_mem_lifts", "Polynomial.X_mul", "Polynomial.X_mul_C", "Polynomial.X_mul_divX_add", "Polynomial.X_pow_add_C_ne_one", "Polynomial.X_pow_add_C_ne_zero", "Polynomial.X_pow_comp", "Polynomial.X_pow_dvd_iff", "Polynomial.X_pow_eq_monomial", "Polynomial.X_pow_mem_lifts", "Polynomial.X_pow_mul", "Polynomial.X_pow_mul_C", "Polynomial.X_pow_mul_assoc", "Polynomial.X_pow_sub_C_ne_zero", "Polynomial.X_pow_sub_X_sub_one_irreducible", "Polynomial.X_pow_sub_X_sub_one_irreducible_aux", "Polynomial.X_pow_sub_X_sub_one_irreducible_rat", "Polynomial.X_pow_sub_one_dvd_prod_cyclotomic", "Polynomial.X_pow_sub_one_eq_prod", "Polynomial.X_pow_sub_one_mul_cyclotomic_dvd_X_pow_sub_one_of_dvd", "Polynomial.X_pow_sub_one_mul_prod_cyclotomic_eq_X_pow_sub_one_of_dvd", "Polynomial.X_pow_sub_one_separable_iff", "Polynomial.X_pow_sub_one_splits", "Polynomial.X_sub_C_dvd_derivative_of_X_sub_C_dvd_divByMonic", "Polynomial.X_sub_C_dvd_sub_C_eval", "Polynomial.X_sub_C_mul_divByMonic_eq_sub_modByMonic", "Polynomial.X_sub_C_mul_removeFactor", "Polynomial.X_sub_C_ne_zero", "Polynomial.X_sub_C_pow_dvd_iff", "Polynomial.abs_isBoundedUnder_iff", "Polynomial.abs_tendsto_atTop", "Polynomial.addHom_ext", "Polynomial.addHom_ext'", "Polynomial.addSubmonoid_closure_setOf_eq_monomial", "Polynomial.add_comp", "Polynomial.add_eq_add", "Polynomial.add_modByMonic", "Polynomial.add_scaleRoots_of_natDegree_eq", "Polynomial.adjoin_X", "Polynomial.adjoin_rootSet_eq_range", "Polynomial.aevalTower_C", "Polynomial.aevalTower_X", "Polynomial.aevalTower_comp_C", "Polynomial.aevalTower_comp_toAlgHom", "Polynomial.aevalTower_id", "Polynomial.aevalTower_ofId", "Polynomial.aevalTower_toAlgHom", "Polynomial.aeval_C", "Polynomial.aeval_X", "Polynomial.aeval_X_pow", "Polynomial.aeval_algEquiv", "Polynomial.aeval_algHom", "Polynomial.aeval_algHom_apply", "Polynomial.aeval_algebraMap_apply", "Polynomial.aeval_algebraMap_eq_zero_iff", "Polynomial.aeval_algebraMap_eq_zero_iff_of_injective", "Polynomial.aeval_apply_smul_mem_of_le_comap", "Polynomial.aeval_apply_smul_mem_of_le_comap'", "Polynomial.aeval_coe_eq_smeval", "Polynomial.aeval_comp", "Polynomial.aeval_continuousMap_apply", "Polynomial.aeval_def", "Polynomial.aeval_endomorphism", "Polynomial.aeval_eq_smeval", "Polynomial.aeval_eq_sum_range", "Polynomial.aeval_eq_sum_range'", "Polynomial.aeval_eq_zero_of_dvd_aeval_eq_zero", "Polynomial.aeval_eq_zero_of_mem_rootSet", "Polynomial.aeval_fn_apply", "Polynomial.aeval_map_algebraMap", "Polynomial.aeval_mem_adjoin_singleton", "Polynomial.aeval_modByMonic_eq_self_of_root", "Polynomial.aeval_mul", "Polynomial.aeval_natCast", "Polynomial.aeval_ofReal", "Polynomial.aeval_pow_two_pow_dvd_aeval_iterate_newtonMap", "Polynomial.aeval_primPart_eq_zero", "Polynomial.aeval_root_derivative_of_splits", "Polynomial.aeval_subalgebra_coe", "Polynomial.aeval_zero", "Polynomial.algHom_eval\u2082_algebraMap", "Polynomial.algHom_ext", "Polynomial.algHom_ext'", "Polynomial.algebraMap_apply", "Polynomial.algebraMap_eq", "Polynomial.algebraMap_hahnSeries_apply", "Polynomial.algebraMap_pi_eq_aeval", "Polynomial.annIdealGenerator_aeval_eq_zero", "Polynomial.annIdealGenerator_eq_minpoly", "Polynomial.annIdealGenerator_eq_zero_iff", "Polynomial.annIdealGenerator_mem", "Polynomial.aroots_C", "Polynomial.aroots_C_mul", "Polynomial.aroots_C_mul_X_pow", "Polynomial.aroots_X", "Polynomial.aroots_X_pow", "Polynomial.aroots_X_sub_C", "Polynomial.aroots_def", "Polynomial.aroots_mul", "Polynomial.aroots_neg", "Polynomial.aroots_one", "Polynomial.aroots_pow", "Polynomial.aroots_smul_nonzero", "Polynomial.aroots_zero", "Polynomial.as_sum_range", "Polynomial.as_sum_range'", "Polynomial.as_sum_range_C_mul_X_pow", "Polynomial.as_sum_support_C_mul_X_pow", "Polynomial.ascPochhammer_smeval_cast", "Polynomial.ascPochhammer_smeval_neg_eq_descPochhammer", "Polynomial.associated_of_dvd_of_degree_eq", "Polynomial.associated_of_dvd_of_natDegree_le", "Polynomial.associated_of_dvd_of_natDegree_le_of_leadingCoeff", "Polynomial.bUnion_roots_finite", "Polynomial.base_mul_mem_lifts", "Polynomial.bernoulli_def", "Polynomial.bernoulli_eq_sub_sum", "Polynomial.bernoulli_eval_one", "Polynomial.bernoulli_eval_one_add", "Polynomial.bernoulli_eval_zero", "Polynomial.bernoulli_generating_function", "Polynomial.bernoulli_succ_eval", "Polynomial.bernoulli_three_eval_one_quarter", "Polynomial.bernoulli_zero", "Polynomial.binomial_eq_binomial", "Polynomial.bit0_comp", "Polynomial.bit1_comp", "Polynomial.cardPowDegree_anti_archimedean", "Polynomial.cardPowDegree_apply", "Polynomial.cardPowDegree_isEuclidean", "Polynomial.cardPowDegree_nonzero", "Polynomial.card_le_degree_of_subset_roots", "Polynomial.card_nthRoots", "Polynomial.card_rootSet_eq_natDegree", "Polynomial.card_rootSet_eq_natDegree_iff_of_splits", "Polynomial.card_rootSet_le_derivative", "Polynomial.card_roots", "Polynomial.card_roots'", "Polynomial.card_roots_X_pow_sub_C", "Polynomial.card_roots_le_derivative", "Polynomial.card_roots_le_map", "Polynomial.card_roots_le_map_of_injective", "Polynomial.card_roots_sub_C", "Polynomial.card_roots_sub_C'", "Polynomial.card_roots_toFinset_le_card_roots_derivative_diff_roots_succ", "Polynomial.card_roots_toFinset_le_derivative", "Polynomial.card_supp_le_succ_natDegree", "Polynomial.card_support_C_mul_X_pow_le_one", "Polynomial.card_support_binomial", "Polynomial.card_support_eq", "Polynomial.card_support_eq'", "Polynomial.card_support_eq_one", "Polynomial.card_support_eq_one_of_eraseLead_eq_zero", "Polynomial.card_support_eq_three", "Polynomial.card_support_eq_two", "Polynomial.card_support_eq_zero", "Polynomial.card_support_eraseLead", "Polynomial.card_support_eraseLead'", "Polynomial.card_support_eraseLead_add_one", "Polynomial.card_support_le_one_iff_monomial", "Polynomial.card_support_le_one_of_eraseLead_eq_zero", "Polynomial.card_support_mul_le", "Polynomial.card_support_trinomial", "Polynomial.cardinal_mk_eq_max", "Polynomial.cardinal_mk_le_max", "Polynomial.chebyshev_T_eq_dickson_one_one", "Polynomial.coeToPowerSeries.ringHom_apply", "Polynomial.coe_C", "Polynomial.coe_X", "Polynomial.coe_add", "Polynomial.coe_aeval_eq_eval", "Polynomial.coe_aeval_eq_evalRingHom", "Polynomial.coe_algebraMap_eq_CC", "Polynomial.coe_basisMonomials", "Polynomial.coe_bit0", "Polynomial.coe_bit1", "Polynomial.coe_compRingHom", "Polynomial.coe_compRingHom_apply", "Polynomial.coe_def", "Polynomial.coe_eq_zero_iff", "Polynomial.coe_evalEvalRingHom", "Polynomial.coe_evalRingHom", "Polynomial.coe_eval\u2082RingHom", "Polynomial.coe_expand", "Polynomial.coe_injective", "Polynomial.coe_lt_degree", "Polynomial.coe_mapRingHom", "Polynomial.coe_monomial", "Polynomial.coe_mul", "Polynomial.coe_normUnit", "Polynomial.coe_normUnit_of_ne_zero", "Polynomial.coe_one", "Polynomial.coe_zero", "Polynomial.coeff_C", "Polynomial.coeff_C_mul", "Polynomial.coeff_C_mul_X", "Polynomial.coeff_C_mul_X_pow", "Polynomial.coeff_C_ne_zero", "Polynomial.coeff_C_zero", "Polynomial.coeff_X", "Polynomial.coeff_X_add_C_pow", "Polynomial.coeff_X_add_one_pow", "Polynomial.coeff_X_mul", "Polynomial.coeff_X_mul_zero", "Polynomial.coeff_X_of_ne_one", "Polynomial.coeff_X_one", "Polynomial.coeff_X_pow", "Polynomial.coeff_X_pow_mul", "Polynomial.coeff_X_pow_mul'", "Polynomial.coeff_X_pow_self", "Polynomial.coeff_X_zero", "Polynomial.coeff_add", "Polynomial.coeff_add_eq_left_of_lt", "Polynomial.coeff_add_eq_right_of_lt", "Polynomial.coeff_bdd_of_roots_le", "Polynomial.coeff_coe", "Polynomial.coeff_coe_units_zero_ne_zero", "Polynomial.coeff_comp_degree_mul_degree", "Polynomial.coeff_contract", "Polynomial.coeff_derivative", "Polynomial.coeff_det_X_add_C_card", "Polynomial.coeff_det_X_add_C_zero", "Polynomial.coeff_divByMonic_X_sub_C", "Polynomial.coeff_divByMonic_X_sub_C_rec", "Polynomial.coeff_divX", "Polynomial.coeff_eq_esymm_roots_of_card", "Polynomial.coeff_eq_esymm_roots_of_splits", "Polynomial.coeff_eq_zero_of_degree_lt", "Polynomial.coeff_eq_zero_of_lt_natTrailingDegree", "Polynomial.coeff_eq_zero_of_lt_trailingDegree", "Polynomial.coeff_eq_zero_of_natDegree_lt", "Polynomial.coeff_erase", "Polynomial.coeff_expand", "Polynomial.coeff_expand_mul", "Polynomial.coeff_expand_mul'", "Polynomial.coeff_hermite", "Polynomial.coeff_hermite_explicit", "Polynomial.coeff_hermite_of_even_add", "Polynomial.coeff_hermite_of_lt", "Polynomial.coeff_hermite_of_odd_add", "Polynomial.coeff_hermite_self", "Polynomial.coeff_hermite_succ_succ", "Polynomial.coeff_hermite_succ_zero", "Polynomial.coeff_inj", "Polynomial.coeff_injective", "Polynomial.coeff_intCast_mul", "Polynomial.coeff_inv_units", "Polynomial.coeff_isUnit_isNilpotent_of_isUnit", "Polynomial.coeff_iterate_derivative", "Polynomial.coeff_le_of_roots_le", "Polynomial.coeff_list_prod_of_natDegree_le", "Polynomial.coeff_list_sum_map", "Polynomial.coeff_map", "Polynomial.coeff_mem_coeffs", "Polynomial.coeff_mirror", "Polynomial.coeff_monomial", "Polynomial.coeff_monomial_mul", "Polynomial.coeff_monomial_succ", "Polynomial.coeff_monomial_zero_mul", "Polynomial.coeff_mul", "Polynomial.coeff_mul_C", "Polynomial.coeff_mul_X", "Polynomial.coeff_mul_X_pow", "Polynomial.coeff_mul_X_pow'", "Polynomial.coeff_mul_X_sub_C", "Polynomial.coeff_mul_X_zero", "Polynomial.coeff_mul_add_eq_of_natDegree_le", "Polynomial.coeff_mul_degree_add_degree", "Polynomial.coeff_mul_intCast", "Polynomial.coeff_mul_mirror", "Polynomial.coeff_mul_monomial", "Polynomial.coeff_mul_natCast", "Polynomial.coeff_mul_natTrailingDegree_add_natTrailingDegree", "Polynomial.coeff_mul_ofNat", "Polynomial.coeff_mul_of_natDegree_le", "Polynomial.coeff_natCast_ite", "Polynomial.coeff_natCast_mul", "Polynomial.coeff_natDegree", "Polynomial.coeff_natDegree_eq_zero_of_degree_lt", "Polynomial.coeff_natDegree_succ_eq_zero", "Polynomial.coeff_natTrailingDegree_eq_zero", "Polynomial.coeff_natTrailingDegree_eq_zero_of_trailingDegree_lt", "Polynomial.coeff_natTrailingDegree_ne_zero", "Polynomial.coeff_ne_zero_of_eq_degree", "Polynomial.coeff_neg", "Polynomial.coeff_ofFinsupp", "Polynomial.coeff_ofNat_mul", "Polynomial.coeff_ofNat_succ", "Polynomial.coeff_ofSubring", "Polynomial.coeff_one", "Polynomial.coeff_one_add_X_pow", "Polynomial.coeff_one_reverse", "Polynomial.coeff_one_zero", "Polynomial.coeff_opRingEquiv", "Polynomial.coeff_pow_eq_ite_of_natDegree_le_of_le", "Polynomial.coeff_pow_mul_natDegree", "Polynomial.coeff_pow_of_natDegree_le", "Polynomial.coeff_prod_mem_ideal_pow_tsub", "Polynomial.coeff_reflect", "Polynomial.coeff_restriction", "Polynomial.coeff_reverse", "Polynomial.coeff_scaleRoots", "Polynomial.coeff_scaleRoots_natDegree", "Polynomial.coeff_smul", "Polynomial.coeff_sub", "Polynomial.coeff_sub_eq_left_of_lt", "Polynomial.coeff_sub_eq_neg_right_of_lt", "Polynomial.coeff_sum", "Polynomial.coeff_toSubring", "Polynomial.coeff_toSubring'", "Polynomial.coeff_update", "Polynomial.coeff_update_apply", "Polynomial.coeff_update_ne", "Polynomial.coeff_update_same", "Polynomial.coeff_zero", "Polynomial.coeff_zero_eq_aeval_zero", "Polynomial.coeff_zero_eq_aeval_zero'", "Polynomial.coeff_zero_eq_eval_zero", "Polynomial.coeff_zero_multiset_prod", "Polynomial.coeff_zero_prod", "Polynomial.coeff_zero_reverse", "Polynomial.coeffs_ofSubring", "Polynomial.coeffs_one", "Polynomial.commute_X", "Polynomial.commute_X_pow", "Polynomial.comp_C", "Polynomial.comp_X", "Polynomial.comp_X_add_C_eq_zero_iff", "Polynomial.comp_X_add_C_ne_zero_iff", "Polynomial.comp_assoc", "Polynomial.comp_eq_aeval", "Polynomial.comp_eq_sum_left", "Polynomial.comp_eq_zero_iff", "Polynomial.comp_one", "Polynomial.comp_zero", "Polynomial.constantCoeff_coe", "Polynomial.content_C", "Polynomial.content_C_mul", "Polynomial.content_X", "Polynomial.content_X_mul", "Polynomial.content_X_pow", "Polynomial.content_dvd_coeff", "Polynomial.content_eq_gcd_leadingCoeff_content_eraseLead", "Polynomial.content_eq_gcd_range_of_lt", "Polynomial.content_eq_zero_iff", "Polynomial.content_monomial", "Polynomial.content_mul", "Polynomial.content_mul_aux", "Polynomial.content_one", "Polynomial.content_zero", "Polynomial.continuous", "Polynomial.continuousAt_aeval", "Polynomial.continuousOn", "Polynomial.continuousOn_aeval", "Polynomial.continuousWithinAt", "Polynomial.continuous_eval\u2082", "Polynomial.contract_expand", "Polynomial.contract_one", "Polynomial.contraction_degree_eq_or_insep", "Polynomial.coprime_of_root_cyclotomic", "Polynomial.count_map_roots", "Polynomial.count_map_roots_of_injective", "Polynomial.count_roots", "Polynomial.count_roots_le_one", "Polynomial.cyclotomic'.monic", "Polynomial.cyclotomic'_eq_X_pow_sub_one_div", "Polynomial.cyclotomic'_one", "Polynomial.cyclotomic'_splits", "Polynomial.cyclotomic'_two", "Polynomial.cyclotomic'_zero", "Polynomial.cyclotomic.dvd_X_pow_sub_one", "Polynomial.cyclotomic.eval_apply", "Polynomial.cyclotomic.irreducible", "Polynomial.cyclotomic.irreducible_rat", "Polynomial.cyclotomic.isCoprime_rat", "Polynomial.cyclotomic.isPrimitive", "Polynomial.cyclotomic.monic", "Polynomial.cyclotomic.roots_to_finset_eq_primitiveRoots", "Polynomial.cyclotomic_coeff_zero", "Polynomial.cyclotomic_dvd_geom_sum_of_dvd", "Polynomial.cyclotomic_eq_X_pow_sub_one_div", "Polynomial.cyclotomic_eq_minpoly", "Polynomial.cyclotomic_eq_minpoly_rat", "Polynomial.cyclotomic_eq_prod_X_pow_sub_one_pow_moebius", "Polynomial.cyclotomic_eq_prod_X_sub_primitiveRoots", "Polynomial.cyclotomic_eval_le_add_one_pow_totient", "Polynomial.cyclotomic_eval_lt_add_one_pow_totient", "Polynomial.cyclotomic_expand_eq_cyclotomic", "Polynomial.cyclotomic_expand_eq_cyclotomic_mul", "Polynomial.cyclotomic_injective", "Polynomial.cyclotomic_irreducible_of_irreducible_pow", "Polynomial.cyclotomic_irreducible_pow_of_irreducible_pow", "Polynomial.cyclotomic_mul_prime_dvd_eq_pow", "Polynomial.cyclotomic_mul_prime_eq_pow_of_not_dvd", "Polynomial.cyclotomic_mul_prime_pow_eq", "Polynomial.cyclotomic_ne_zero", "Polynomial.cyclotomic_neg_one_pos", "Polynomial.cyclotomic_nonneg", "Polynomial.cyclotomic_one", "Polynomial.cyclotomic_pos", "Polynomial.cyclotomic_pos'", "Polynomial.cyclotomic_pos_and_nonneg", "Polynomial.cyclotomic_prime", "Polynomial.cyclotomic_prime_pow_eq_geom_sum", "Polynomial.cyclotomic_prime_pow_mul_X_pow_sub_one", "Polynomial.cyclotomic_two", "Polynomial.cyclotomic_zero", "Polynomial.degreeLE_eq_span_X_pow", "Polynomial.degreeLE_mono", "Polynomial.degreeLTEquiv_eq_zero_iff_eq_zero", "Polynomial.degreeLT_eq_span_X_pow", "Polynomial.degreeLT_succ_eq_degreeLE", "Polynomial.degree_C", "Polynomial.degree_C_le", "Polynomial.degree_C_lt", "Polynomial.degree_C_lt_degree_C_mul_X", "Polynomial.degree_C_mul", "Polynomial.degree_C_mul_X", "Polynomial.degree_C_mul_X_le", "Polynomial.degree_C_mul_X_pow", "Polynomial.degree_C_mul_X_pow_le", "Polynomial.degree_X", "Polynomial.degree_X_add_C", "Polynomial.degree_X_pow", "Polynomial.degree_X_pow_add_C", "Polynomial.degree_X_pow_le", "Polynomial.degree_X_pow_sub_C", "Polynomial.degree_X_sub_C", "Polynomial.degree_add_degree_leadingCoeff_inv", "Polynomial.degree_add_div", "Polynomial.degree_add_divByMonic", "Polynomial.degree_add_eq_left_of_degree_lt", "Polynomial.degree_add_eq_of_leadingCoeff_add_ne_zero", "Polynomial.degree_add_eq_right_of_degree_lt", "Polynomial.degree_add_le", "Polynomial.degree_add_le_of_degree_le", "Polynomial.degree_add_le_of_le", "Polynomial.degree_annIdealGenerator_le_of_mem", "Polynomial.degree_coe_units", "Polynomial.degree_cubic", "Polynomial.degree_cubic_le", "Polynomial.degree_cyclotomic", "Polynomial.degree_cyclotomic'", "Polynomial.degree_cyclotomic_pos", "Polynomial.degree_derivative_eq", "Polynomial.degree_derivative_le", "Polynomial.degree_derivative_lt", "Polynomial.degree_divByMonic_le", "Polynomial.degree_divByMonic_lt", "Polynomial.degree_divX_lt", "Polynomial.degree_div_le", "Polynomial.degree_div_lt", "Polynomial.degree_eq_bot", "Polynomial.degree_eq_card_roots", "Polynomial.degree_eq_card_roots'", "Polynomial.degree_eq_iff_natDegree_eq", "Polynomial.degree_eq_iff_natDegree_eq_of_pos", "Polynomial.degree_eq_natDegree", "Polynomial.degree_eq_of_le_of_coeff_ne_zero", "Polynomial.degree_eq_one_of_irreducible_of_root", "Polynomial.degree_eq_one_of_irreducible_of_splits", "Polynomial.degree_eq_zero_of_isUnit", "Polynomial.degree_erase_le", "Polynomial.degree_erase_lt", "Polynomial.degree_gcd_le_left", "Polynomial.degree_gcd_le_right", "Polynomial.degree_hermite", "Polynomial.degree_intCast_le", "Polynomial.degree_le_degree", "Polynomial.degree_le_iff_coeff_zero", "Polynomial.degree_le_mul_left", "Polynomial.degree_le_natDegree", "Polynomial.degree_le_of_dvd", "Polynomial.degree_le_zero_iff", "Polynomial.degree_leadingCoeff_inv", "Polynomial.degree_linear", "Polynomial.degree_linear_le", "Polynomial.degree_linear_lt", "Polynomial.degree_list_prod_le", "Polynomial.degree_list_sum_le", "Polynomial.degree_lt_degree", "Polynomial.degree_lt_degree_mul_X", "Polynomial.degree_lt_iff_coeff_zero", "Polynomial.degree_lt_wf", "Polynomial.degree_map", "Polynomial.degree_map_eq_iff", "Polynomial.degree_map_eq_of_injective", "Polynomial.degree_map_eq_of_leadingCoeff_ne_zero", "Polynomial.degree_map_le", "Polynomial.degree_modByMonic_le", "Polynomial.degree_modByMonic_lt", "Polynomial.degree_mono", "Polynomial.degree_monomial", "Polynomial.degree_monomial_le", "Polynomial.degree_mul", "Polynomial.degree_mul'", "Polynomial.degree_mul_C", "Polynomial.degree_mul_X_pow", "Polynomial.degree_mul_le", "Polynomial.degree_mul_le_of_le", "Polynomial.degree_mul_leadingCoeff_inv", "Polynomial.degree_multiset_prod", "Polynomial.degree_multiset_prod_le", "Polynomial.degree_natCast_le", "Polynomial.degree_ne_of_natDegree_ne", "Polynomial.degree_neg", "Polynomial.degree_neg_le_of_le", "Polynomial.degree_normalize", "Polynomial.degree_of_subsingleton", "Polynomial.degree_one", "Polynomial.degree_one_le", "Polynomial.degree_pos_induction_on", "Polynomial.degree_pos_of_aeval_root", "Polynomial.degree_pos_of_eval\u2082_root", "Polynomial.degree_pos_of_irreducible", "Polynomial.degree_pos_of_ne_zero_of_nonunit", "Polynomial.degree_pos_of_not_isUnit_of_dvd_monic", "Polynomial.degree_pos_of_root", "Polynomial.degree_pow", "Polynomial.degree_pow'", "Polynomial.degree_pow_le", "Polynomial.degree_pow_le_of_le", "Polynomial.degree_prod", "Polynomial.degree_prod_le", "Polynomial.degree_quadratic", "Polynomial.degree_quadratic_le", "Polynomial.degree_quadratic_lt", "Polynomial.degree_quadratic_lt_degree_C_mul_X_cb", "Polynomial.degree_restriction", "Polynomial.degree_scaleRoots", "Polynomial.degree_smul_le", "Polynomial.degree_smul_of_smul_regular", "Polynomial.degree_sub_C", "Polynomial.degree_sub_eq_left_of_degree_lt", "Polynomial.degree_sub_eq_right_of_degree_lt", "Polynomial.degree_sub_le", "Polynomial.degree_sub_le_of_le", "Polynomial.degree_sub_lt", "Polynomial.degree_sum_eq_of_disjoint", "Polynomial.degree_sum_fin_lt", "Polynomial.degree_sum_le", "Polynomial.degree_toSubring", "Polynomial.degree_update_le", "Polynomial.degree_zero", "Polynomial.deriv", "Polynomial.derivWithin", "Polynomial.derivWithin_aeval", "Polynomial.deriv_aeval", "Polynomial.deriv_gaussian_eq_hermite_mul_gaussian", "Polynomial.derivation_ext", "Polynomial.derivative_C", "Polynomial.derivative_C_mul_X", "Polynomial.derivative_C_mul_X_sq", "Polynomial.derivative_X", "Polynomial.derivative_X_add_C", "Polynomial.derivative_X_add_C_pow", "Polynomial.derivative_X_add_C_sq", "Polynomial.derivative_X_pow", "Polynomial.derivative_X_sq", "Polynomial.derivative_X_sub_C", "Polynomial.derivative_X_sub_C_pow", "Polynomial.derivative_X_sub_C_sq", "Polynomial.derivative_add", "Polynomial.derivative_apply", "Polynomial.derivative_bernoulli", "Polynomial.derivative_bernoulli_add_one", "Polynomial.derivative_comp", "Polynomial.derivative_eval", "Polynomial.derivative_eval\u2082_C", "Polynomial.derivative_expand", "Polynomial.derivative_intCast", "Polynomial.derivative_intCast_mul", "Polynomial.derivative_map", "Polynomial.derivative_monomial", "Polynomial.derivative_mul", "Polynomial.derivative_natCast", "Polynomial.derivative_neg", "Polynomial.derivative_ofNat", "Polynomial.derivative_of_natDegree_zero", "Polynomial.derivative_one", "Polynomial.derivative_pow", "Polynomial.derivative_pow_succ", "Polynomial.derivative_prod", "Polynomial.derivative_rootMultiplicity_of_root", "Polynomial.derivative_rootMultiplicity_of_root_of_mem_nonZeroDivisors", "Polynomial.derivative_smul", "Polynomial.derivative_sq", "Polynomial.derivative_sub", "Polynomial.derivative_sum", "Polynomial.derivative_zero", "Polynomial.descPochhammer_smeval_eq_ascPochhammer", "Polynomial.descPochhammer_smeval_eq_descFactorial", "Polynomial.dickson_of_two_le", "Polynomial.dickson_one_one_charP", "Polynomial.dickson_one_one_comp_comm", "Polynomial.dickson_one_one_eq_chebyshev_T", "Polynomial.dickson_one_one_eval_add_inv", "Polynomial.dickson_one_one_mul", "Polynomial.dickson_one_one_zmod_p", "Polynomial.dickson_two", "Polynomial.dickson_two_zero", "Polynomial.dickson_zero", "Polynomial.differentiableAt", "Polynomial.differentiableAt_aeval", "Polynomial.differentiableOn", "Polynomial.differentiable_aeval", "Polynomial.disjoint_ker_aeval_of_coprime", "Polynomial.divByMonic_add_X_sub_C_mul_derivate_divByMonic_eq_derivative", "Polynomial.divByMonic_eq_div", "Polynomial.divByMonic_eq_zero_iff", "Polynomial.divByMonic_zero", "Polynomial.divX_C", "Polynomial.divX_C_mul", "Polynomial.divX_C_mul_X_pow", "Polynomial.divX_X_pow", "Polynomial.divX_add", "Polynomial.divX_eq_zero_iff", "Polynomial.divX_hom_toFun", "Polynomial.divX_mul_X_add", "Polynomial.divX_one", "Polynomial.div_C_mul", "Polynomial.div_def", "Polynomial.div_eq_quo_add_rem_div", "Polynomial.div_eq_zero_iff", "Polynomial.div_modByMonic_unique", "Polynomial.div_tendsto_atBot_of_degree_gt", "Polynomial.div_tendsto_atBot_of_degree_gt'", "Polynomial.div_tendsto_atTop_of_degree_gt'", "Polynomial.div_tendsto_leadingCoeff_div_of_degree_eq", "Polynomial.div_tendsto_zero_iff_degree_lt", "Polynomial.div_tendsto_zero_of_degree_lt", "Polynomial.div_wf_lemma", "Polynomial.dvd_C_mul", "Polynomial.dvd_content_iff_C_dvd", "Polynomial.dvd_iff_content_dvd_content_and_primPart_dvd_primPart", "Polynomial.dvd_iff_isRoot", "Polynomial.dvd_iterate_derivative_pow", "Polynomial.dvd_pow_natDegree_of_aeval_eq_zero", "Polynomial.dvd_pow_natDegree_of_eval\u2082_eq_zero", "Polynomial.dvd_term_of_dvd_eval_of_dvd_terms", "Polynomial.eq_C_coeff_zero_iff_natDegree_eq_zero", "Polynomial.eq_C_content_mul_primPart", "Polynomial.eq_C_of_degree_eq_zero", "Polynomial.eq_C_of_degree_le_zero", "Polynomial.eq_C_of_derivative_eq_zero", "Polynomial.eq_C_of_natDegree_eq_zero", "Polynomial.eq_X_add_C_of_degree_eq_one", "Polynomial.eq_X_add_C_of_degree_le_one", "Polynomial.eq_X_add_C_of_natDegree_le_one", "Polynomial.eq_X_sub_C_of_separable_of_root_eq", "Polynomial.eq_X_sub_C_of_splits_of_single_root", "Polynomial.eq_cyclotomic_iff", "Polynomial.eq_leadingCoeff_mul_of_monic_of_dvd_of_natDegree_le", "Polynomial.eq_natDegree_of_le_mem_support", "Polynomial.eq_of_degree_le_of_eval_finset_eq", "Polynomial.eq_of_degree_le_of_eval_index_eq", "Polynomial.eq_of_degree_sub_lt_of_eval_finset_eq", "Polynomial.eq_of_degree_sub_lt_of_eval_index_eq", "Polynomial.eq_of_degrees_lt_of_eval_finset_eq", "Polynomial.eq_of_degrees_lt_of_eval_index_eq", "Polynomial.eq_of_dvd_of_natDegree_le_of_leadingCoeff", "Polynomial.eq_of_infinite_eval_eq", "Polynomial.eq_of_monic_of_associated", "Polynomial.eq_of_monic_of_dvd_of_natDegree_le", "Polynomial.eq_one_of_monic_natDegree_zero", "Polynomial.eq_one_of_roots_le", "Polynomial.eq_prod_roots_of_monic_of_splits_id", "Polynomial.eq_prod_roots_of_splits", "Polynomial.eq_prod_roots_of_splits_id", "Polynomial.eq_rootMultiplicity_map", "Polynomial.eq_zero_of_degree_lt_of_eval_finset_eq_zero", "Polynomial.eq_zero_of_degree_lt_of_eval_index_eq_zero", "Polynomial.eq_zero_of_dvd_of_degree_lt", "Polynomial.eq_zero_of_dvd_of_natDegree_lt", "Polynomial.eq_zero_of_eq_zero", "Polynomial.eq_zero_of_forall_eval_zero_of_natDegree_lt_card", "Polynomial.eq_zero_of_hasseDeriv_eq_zero", "Polynomial.eq_zero_of_infinite_isRoot", "Polynomial.eq_zero_of_mul_eq_zero_of_smul", "Polynomial.eq_zero_of_natDegree_lt_card_of_eval_eq_zero", "Polynomial.eq_zero_of_natDegree_lt_card_of_eval_eq_zero'", "Polynomial.eraseLead_C_mul_X_pow", "Polynomial.eraseLead_X_pow", "Polynomial.eraseLead_add_C_mul_X_pow", "Polynomial.eraseLead_add_monomial_natDegree_leadingCoeff", "Polynomial.eraseLead_add_of_natDegree_lt_left", "Polynomial.eraseLead_add_of_natDegree_lt_right", "Polynomial.eraseLead_coeff", "Polynomial.eraseLead_coeff_natDegree", "Polynomial.eraseLead_coeff_of_ne", "Polynomial.eraseLead_degree_le", "Polynomial.eraseLead_monomial", "Polynomial.eraseLead_natDegree_le", "Polynomial.eraseLead_natDegree_lt", "Polynomial.eraseLead_natDegree_lt_or_eraseLead_eq_zero", "Polynomial.eraseLead_ne_zero", "Polynomial.eraseLead_support", "Polynomial.eraseLead_support_card_lt", "Polynomial.eraseLead_zero", "Polynomial.erase_mem_lifts", "Polynomial.erase_monomial", "Polynomial.erase_ne", "Polynomial.erase_same", "Polynomial.erase_zero", "Polynomial.eta", "Polynomial.evalEvalRingHom_eq", "Polynomial.evalEval_C", "Polynomial.evalEval_X", "Polynomial.evalRingHom_zero", "Polynomial.eval_C", "Polynomial.eval_C_X_eval\u2082_map_C_X", "Polynomial.eval_C_mul", "Polynomial.eval_X", "Polynomial.eval_add", "Polynomial.eval_comp", "Polynomial.eval_divByMonic_eq_trailingCoeff_comp", "Polynomial.eval_divByMonic_pow_rootMultiplicity_ne_zero", "Polynomial.eval_dvd", "Polynomial.eval_eq_smeval", "Polynomial.eval_eq_sum", "Polynomial.eval_eq_sum_degreeLTEquiv", "Polynomial.eval_eq_sum_range", "Polynomial.eval_eq_sum_range'", "Polynomial.eval_eq_zero_of_dvd_of_eval_eq_zero", "Polynomial.eval_finset_sum", "Polynomial.eval_gcd_eq_zero", "Polynomial.eval_geom_sum", "Polynomial.eval_intCast", "Polynomial.eval_intCast_map", "Polynomial.eval_iterate_derivative_rootMultiplicity", "Polynomial.eval_list_prod", "Polynomial.eval_map", "Polynomial.eval_map_algebraMap", "Polynomial.eval_monomial", "Polynomial.eval_monomial_one_add_sub", "Polynomial.eval_mul", "Polynomial.eval_mul_X", "Polynomial.eval_mul_X_pow", "Polynomial.eval_mul_X_sub_C", "Polynomial.eval_multiset_prod_X_sub_C_derivative", "Polynomial.eval_natCast", "Polynomial.eval_natCast_map", "Polynomial.eval_natCast_mul", "Polynomial.eval_neg", "Polynomial.eval_ofNat", "Polynomial.eval_one", "Polynomial.eval_one_cyclotomic_not_prime_pow", "Polynomial.eval_one_cyclotomic_prime", "Polynomial.eval_one_cyclotomic_prime_pow", "Polynomial.eval_one_map", "Polynomial.eval_pow", "Polynomial.eval_prod", "Polynomial.eval_smul", "Polynomial.eval_smul'", "Polynomial.eval_sub", "Polynomial.eval_sum", "Polynomial.eval_unique", "Polynomial.eval_zero", "Polynomial.eval_zero_map", "Polynomial.eval\u2082RingHom_eval\u2082RingHom", "Polynomial.eval\u2082_C", "Polynomial.eval\u2082_C_X", "Polynomial.eval\u2082_C_X_eq_coe", "Polynomial.eval\u2082_X", "Polynomial.eval\u2082_X_mul", "Polynomial.eval\u2082_X_pow", "Polynomial.eval\u2082_add", "Polynomial.eval\u2082_algebraMap_X", "Polynomial.eval\u2082_at_apply", "Polynomial.eval\u2082_at_intCast", "Polynomial.eval\u2082_at_natCast", "Polynomial.eval\u2082_at_ofNat", "Polynomial.eval\u2082_at_one", "Polynomial.eval\u2082_at_zero", "Polynomial.eval\u2082_comp", "Polynomial.eval\u2082_comp'", "Polynomial.eval\u2082_dvd", "Polynomial.eval\u2082_eq_eval_map", "Polynomial.eval\u2082_eq_smeval", "Polynomial.eval\u2082_eq_sum", "Polynomial.eval\u2082_eq_sum_range'", "Polynomial.eval\u2082_eq_zero_of_dvd_of_eval\u2082_eq_zero", "Polynomial.eval\u2082_evalRingHom", "Polynomial.eval\u2082_finset_prod", "Polynomial.eval\u2082_finset_sum", "Polynomial.eval\u2082_gcd_eq_zero", "Polynomial.eval\u2082_hom", "Polynomial.eval\u2082_list_prod", "Polynomial.eval\u2082_list_prod_noncomm", "Polynomial.eval\u2082_list_sum", "Polynomial.eval\u2082_map", "Polynomial.eval\u2082_modByMonic_eq_self_of_root", "Polynomial.eval\u2082_monomial", "Polynomial.eval\u2082_mul", "Polynomial.eval\u2082_mul'", "Polynomial.eval\u2082_mul_C'", "Polynomial.eval\u2082_mul_X", "Polynomial.eval\u2082_mul_eq_zero_of_left", "Polynomial.eval\u2082_mul_eq_zero_of_right", "Polynomial.eval\u2082_mul_noncomm", "Polynomial.eval\u2082_natCast", "Polynomial.eval\u2082_neg", "Polynomial.eval\u2082_ofFinsupp", "Polynomial.eval\u2082_ofNat", "Polynomial.eval\u2082_one", "Polynomial.eval\u2082_one_cyclotomic_prime", "Polynomial.eval\u2082_one_cyclotomic_prime_pow", "Polynomial.eval\u2082_pow", "Polynomial.eval\u2082_pow'", "Polynomial.eval\u2082_primPart_eq_zero", "Polynomial.eval\u2082_reflect_eq_zero_iff", "Polynomial.eval\u2082_reflect_mul_pow", "Polynomial.eval\u2082_restriction", "Polynomial.eval\u2082_reverse_mul_pow", "Polynomial.eval\u2082_smul", "Polynomial.eval\u2082_sub", "Polynomial.eval\u2082_sum", "Polynomial.eval\u2082_zero", "Polynomial.eventually_no_roots", "Polynomial.exists_C_coeff_not_mem", "Polynomial.exists_approx_polynomial", "Polynomial.exists_approx_polynomial_aux", "Polynomial.exists_degree_le_of_mem_span", "Polynomial.exists_degree_le_of_mem_span_of_finite", "Polynomial.exists_eq_X_add_C_of_natDegree_le_one", "Polynomial.exists_eq_polynomial", "Polynomial.exists_eq_pow_rootMultiplicity_mul_and_not_dvd", "Polynomial.exists_eval_ne_zero_of_natDegree_lt_card", "Polynomial.exists_finset_of_splits", "Polynomial.exists_forall_norm_le", "Polynomial.exists_iff_exists_finsupp", "Polynomial.exists_irreducible_of_degree_pos", "Polynomial.exists_irreducible_of_natDegree_ne_zero", "Polynomial.exists_irreducible_of_natDegree_pos", "Polynomial.exists_min_root", "Polynomial.exists_monic_irreducible_factor", "Polynomial.exists_multiset_roots", "Polynomial.exists_partition_polynomial", "Polynomial.exists_partition_polynomial_aux", "Polynomial.exists_primitive_lcm_of_isPrimitive", "Polynomial.exists_prod_multiset_X_sub_C_mul", "Polynomial.exists_root_of_degree_eq_one", "Polynomial.exists_root_of_splits", "Polynomial.exists_root_of_splits'", "Polynomial.exists_separable_of_irreducible", "Polynomial.exists_unique_nilpotent_sub_and_aeval_eq_zero", "Polynomial.expand_C", "Polynomial.expand_X", "Polynomial.expand_aeval", "Polynomial.expand_char", "Polynomial.expand_contract", "Polynomial.expand_contract'", "Polynomial.expand_eq_C", "Polynomial.expand_eq_sum", "Polynomial.expand_eval", "Polynomial.expand_expand", "Polynomial.expand_inj", "Polynomial.expand_monomial", "Polynomial.expand_mul", "Polynomial.expand_ne_zero", "Polynomial.expand_one", "Polynomial.expand_pow", "Polynomial.expand_zero", "Polynomial.ext_iff", "Polynomial.ext_iff_degree_le", "Polynomial.ext_iff_natDegree_le", "Polynomial.fact_irreducible_factor", "Polynomial.factor_dvd_of_degree_ne_zero", "Polynomial.factor_dvd_of_natDegree_ne_zero", "Polynomial.factor_dvd_of_not_isUnit", "Polynomial.factorial_smul_hasseDeriv", "Polynomial.fderivWithin_aeval", "Polynomial.fderiv_aeval", "Polynomial.finite_setOf_isRoot", "Polynomial.finset_sum_coeff", "Polynomial.forall_eq_iff_forall_eq", "Polynomial.funext", "Polynomial.gcd_content_eq_of_dvd_sub", "Polynomial.gcd_map", "Polynomial.geom_sum_X_comp_X_add_one_eq_sum", "Polynomial.hasDerivAt_aeval", "Polynomial.hasDerivWithinAt", "Polynomial.hasDerivWithinAt_aeval", "Polynomial.hasFDerivAt", "Polynomial.hasFDerivWithinAt_aeval", "Polynomial.hasStrictDerivAt", "Polynomial.hasStrictDerivAt_aeval", "Polynomial.hasseDeriv_C", "Polynomial.hasseDeriv_X", "Polynomial.hasseDeriv_apply", "Polynomial.hasseDeriv_apply_one", "Polynomial.hasseDeriv_coeff", "Polynomial.hasseDeriv_comp", "Polynomial.hasseDeriv_eq_zero_of_lt_natDegree", "Polynomial.hasseDeriv_monomial", "Polynomial.hasseDeriv_mul", "Polynomial.hasseDeriv_one", "Polynomial.hasseDeriv_one'", "Polynomial.hasseDeriv_zero", "Polynomial.hasseDeriv_zero'", "Polynomial.hermite_eq_deriv_gaussian", "Polynomial.hermite_eq_deriv_gaussian'", "Polynomial.hermite_eq_iterate", "Polynomial.hermite_one", "Polynomial.hermite_succ", "Polynomial.hom_eval\u2082", "Polynomial.image_rootSet", "Polynomial.induction_on", "Polynomial.induction_on'", "Polynomial.induction_with_natDegree_le", "Polynomial.intCast_coeff_zero", "Polynomial.intCast_comp", "Polynomial.int_coeff_of_cyclotomic'", "Polynomial.int_cyclotomic_rw", "Polynomial.int_cyclotomic_spec", "Polynomial.int_cyclotomic_unique", "Polynomial.integralNormalization_coeff", "Polynomial.integralNormalization_coeff_degree", "Polynomial.integralNormalization_coeff_natDegree", "Polynomial.integralNormalization_coeff_ne_degree", "Polynomial.integralNormalization_coeff_ne_natDegree", "Polynomial.integralNormalization_eval\u2082_eq_zero", "Polynomial.integralNormalization_support", "Polynomial.irreducible_X", "Polynomial.irreducible_X_sub_C", "Polynomial.irreducible_comp", "Polynomial.irreducible_factor", "Polynomial.irreducible_iff_degree_lt", "Polynomial.irreducible_iff_lt_natDegree_lt", "Polynomial.irreducible_iff_roots_eq_zero_of_degree_le_three", "Polynomial.irreducible_mul_leadingCoeff_inv", "Polynomial.irreducible_of_eisenstein_criterion", "Polynomial.irreducible_of_mirror", "Polynomial.irreducible_of_monic", "Polynomial.isBigO_of_degree_le", "Polynomial.isCoprime_X_sub_C_of_isUnit_sub", "Polynomial.isCoprime_map", "Polynomial.isCoprime_of_is_root_of_eval_derivative_ne_zero", "Polynomial.isCoprime_scaleRoots", "Polynomial.isEquivalent_atTop_div", "Polynomial.isEquivalent_atTop_lead", "Polynomial.isFixedPt_newtonMap_of_aeval_eq_zero", "Polynomial.isFixedPt_newtonMap_of_isUnit_iff", "Polynomial.isIntegrallyClosed_iff'", "Polynomial.isLocalRingHom_expand", "Polynomial.isNilpotent_C_iff", "Polynomial.isNilpotent_C_mul_pow_X_of_isNilpotent", "Polynomial.isNilpotent_X_mul_iff", "Polynomial.isNilpotent_aeval_sub_of_isNilpotent_sub", "Polynomial.isNilpotent_iff", "Polynomial.isNilpotent_iterate_newtonMap_sub_of_isNilpotent", "Polynomial.isNilpotent_mul_X_iff", "Polynomial.isNilpotent_pow_X_mul_C_of_isNilpotent", "Polynomial.isNilpotent_reflect_iff", "Polynomial.isNilpotent_reverse_iff", "Polynomial.isNoetherianRing", "Polynomial.isPrimitive_iff_content_eq_one", "Polynomial.isPrimitive_iff_isUnit_of_C_dvd", "Polynomial.isPrimitive_of_dvd", "Polynomial.isPrimitive_primPart", "Polynomial.isRegular_X", "Polynomial.isRegular_X_pow", "Polynomial.isRoot_comp", "Polynomial.isRoot_cyclotomic_iff", "Polynomial.isRoot_cyclotomic_iff'", "Polynomial.isRoot_cyclotomic_iff_charZero", "Polynomial.isRoot_cyclotomic_prime_pow_mul_iff_of_charP", "Polynomial.isRoot_gcd_iff_isRoot_left_right", "Polynomial.isRoot_iterate_derivative_of_lt_rootMultiplicity", "Polynomial.isRoot_map_iff", "Polynomial.isRoot_of_aeval_algebraMap_eq_zero", "Polynomial.isRoot_of_eval\u2082_map_eq_zero", "Polynomial.isRoot_of_mem_roots", "Polynomial.isRoot_of_unity_of_root_cyclotomic", "Polynomial.isRoot_prod", "Polynomial.isUnitTrinomial_iff", "Polynomial.isUnitTrinomial_iff'", "Polynomial.isUnitTrinomial_iff''", "Polynomial.isUnit_C", "Polynomial.isUnit_C_add_X_mul_iff", "Polynomial.isUnit_aeval_of_isUnit_aeval_of_isNilpotent_sub", "Polynomial.isUnit_iff'", "Polynomial.isUnit_iff_coeff_isUnit_isNilpotent", "Polynomial.isUnit_iff_degree_eq_zero", "Polynomial.isUnit_leadingCoeff_mul_left_eq_zero_iff", "Polynomial.isUnit_leadingCoeff_mul_right_eq_zero_iff", "Polynomial.isUnit_map", "Polynomial.isUnit_of_coeff_isUnit_isNilpotent", "Polynomial.isUnit_of_isUnit_leadingCoeff_of_isUnit_map", "Polynomial.isUnit_of_self_mul_dvd_separable", "Polynomial.isUnit_or_eq_zero_of_isUnit_integerNormalization_primPart", "Polynomial.isUnit_or_eq_zero_of_separable_expand", "Polynomial.isUnit_primPart_C", "Polynomial.ite_le_natDegree_coeff", "Polynomial.iterate_comp_eval\u2082", "Polynomial.iterate_derivative_C", "Polynomial.iterate_derivative_C_mul", "Polynomial.iterate_derivative_X", "Polynomial.iterate_derivative_X_add_pow", "Polynomial.iterate_derivative_X_pow_eq_natCast_mul", "Polynomial.iterate_derivative_X_pow_eq_smul", "Polynomial.iterate_derivative_X_sub_pow", "Polynomial.iterate_derivative_X_sub_pow_self", "Polynomial.iterate_derivative_comp_one_sub_X", "Polynomial.iterate_derivative_eq_zero", "Polynomial.iterate_derivative_map", "Polynomial.iterate_derivative_mul", "Polynomial.iterate_derivative_natCast_mul", "Polynomial.iterate_derivative_neg", "Polynomial.iterate_derivative_one", "Polynomial.iterate_derivative_smul", "Polynomial.iterate_derivative_sub", "Polynomial.iterate_derivative_zero", "Polynomial.ker_evalRingHom", "Polynomial.ker_mapRingHom", "Polynomial.ker_modByMonicHom", "Polynomial.lcoeff_apply", "Polynomial.le_degree_of_mem_supp", "Polynomial.le_degree_of_ne_zero", "Polynomial.le_natDegree_of_coe_le_degree", "Polynomial.le_natDegree_of_mem_supp", "Polynomial.le_natDegree_of_ne_zero", "Polynomial.le_natTrailingDegree", "Polynomial.le_natTrailingDegree_mul", "Polynomial.le_rootMultiplicity_iff", "Polynomial.le_rootMultiplicity_map", "Polynomial.le_rootMultiplicity_mul", "Polynomial.le_trailingDegree_C_mul_X_pow", "Polynomial.le_trailingDegree_X", "Polynomial.le_trailingDegree_X_pow", "Polynomial.le_trailingDegree_monomial", "Polynomial.le_trailingDegree_mul", "Polynomial.leadingCoeffHom_apply", "Polynomial.leadingCoeff_C", "Polynomial.leadingCoeff_C_mul_X", "Polynomial.leadingCoeff_C_mul_X_pow", "Polynomial.leadingCoeff_X", "Polynomial.leadingCoeff_X_add_C", "Polynomial.leadingCoeff_X_pow", "Polynomial.leadingCoeff_X_pow_add_C", "Polynomial.leadingCoeff_X_pow_add_one", "Polynomial.leadingCoeff_X_pow_sub_C", "Polynomial.leadingCoeff_X_pow_sub_one", "Polynomial.leadingCoeff_X_sub_C", "Polynomial.leadingCoeff_add_of_degree_eq", "Polynomial.leadingCoeff_add_of_degree_lt", "Polynomial.leadingCoeff_add_of_degree_lt'", "Polynomial.leadingCoeff_comp", "Polynomial.leadingCoeff_cubic", "Polynomial.leadingCoeff_det_X_one_add_C", "Polynomial.leadingCoeff_div", "Polynomial.leadingCoeff_divByMonic_X_sub_C", "Polynomial.leadingCoeff_divByMonic_of_monic", "Polynomial.leadingCoeff_dvd_leadingCoeff", "Polynomial.leadingCoeff_eq_zero", "Polynomial.leadingCoeff_eq_zero_iff_deg_eq_bot", "Polynomial.leadingCoeff_eraseLead_eq_nextCoeff", "Polynomial.leadingCoeff_expand", "Polynomial.leadingCoeff_hermite", "Polynomial.leadingCoeff_linear", "Polynomial.leadingCoeff_map", "Polynomial.leadingCoeff_map'", "Polynomial.leadingCoeff_map_of_leadingCoeff_ne_zero", "Polynomial.leadingCoeff_monic_mul", "Polynomial.leadingCoeff_monomial", "Polynomial.leadingCoeff_mul", "Polynomial.leadingCoeff_mul'", "Polynomial.leadingCoeff_mul_X", "Polynomial.leadingCoeff_mul_X_pow", "Polynomial.leadingCoeff_mul_monic", "Polynomial.leadingCoeff_multiset_prod", "Polynomial.leadingCoeff_multiset_prod'", "Polynomial.leadingCoeff_ne_zero", "Polynomial.leadingCoeff_neg", "Polynomial.leadingCoeff_of_injective", "Polynomial.leadingCoeff_one", "Polynomial.leadingCoeff_opRingEquiv", "Polynomial.leadingCoeff_pow", "Polynomial.leadingCoeff_pow'", "Polynomial.leadingCoeff_prod", "Polynomial.leadingCoeff_prod'", "Polynomial.leadingCoeff_quadratic", "Polynomial.leadingCoeff_smul_of_smul_regular", "Polynomial.leadingCoeff_sub_of_degree_eq", "Polynomial.leadingCoeff_sub_of_degree_lt'", "Polynomial.leadingCoeff_zero", "Polynomial.leval_coe_eq_smeval", "Polynomial.leval_eq_smeval.linearMap", "Polynomial.lhom_ext'", "Polynomial.lift_of_splits", "Polynomial.lifts_and_degree_eq_and_monic", "Polynomial.lifts_and_natDegree_eq_and_monic", "Polynomial.lifts_iff_coeff_lifts", "Polynomial.lifts_iff_liftsRing", "Polynomial.lifts_iff_ringHom_rangeS", "Polynomial.lifts_iff_set_range", "Polynomial.linearIndependent_powers_iff_aeval", "Polynomial.list_prod_comp", "Polynomial.lt_natDegree_of_mem_eraseLead_support", "Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative", "Polynomial.lt_rootMultiplicity_iff_isRoot_iterate_derivative_of_mem_nonZeroDivisors'", "Polynomial.lt_rootMultiplicity_of_isRoot_iterate_derivative", "Polynomial.lt_rootMultiplicity_of_isRoot_iterate_derivative_of_mem_nonZeroDivisors", "Polynomial.lt_rootMultiplicity_of_isRoot_iterate_derivative_of_mem_nonZeroDivisors'", "Polynomial.mapAlg_eq_map", "Polynomial.mapRingHom_id", "Polynomial.map_C", "Polynomial.map_X", "Polynomial.map_add", "Polynomial.map_aeval_eq_aeval_map", "Polynomial.map_comp", "Polynomial.map_contract", "Polynomial.map_cyclotomic", "Polynomial.map_cyclotomic_int", "Polynomial.map_dickson", "Polynomial.map_div", "Polynomial.map_divByMonic", "Polynomial.map_dvd", "Polynomial.map_dvd_map", "Polynomial.map_dvd_map'", "Polynomial.map_eq_zero", "Polynomial.map_eq_zero_iff", "Polynomial.map_evalRingHom_eval", "Polynomial.map_expand", "Polynomial.map_expand_pow_char", "Polynomial.map_id", "Polynomial.map_injective", "Polynomial.map_intCast", "Polynomial.map_list_prod", "Polynomial.map_map", "Polynomial.map_mapRingHom_evalEval", "Polynomial.map_mapRingHom_eval_map", "Polynomial.map_mapRingHom_eval_map_eval", "Polynomial.map_mod", "Polynomial.map_modByMonic", "Polynomial.map_mod_divByMonic", "Polynomial.map_monic_eq_zero_iff", "Polynomial.map_monic_ne_zero", "Polynomial.map_monomial", "Polynomial.map_mul", "Polynomial.map_multiset_prod", "Polynomial.map_natCast", "Polynomial.map_natDegree_eq_natDegree", "Polynomial.map_natDegree_eq_sub", "Polynomial.map_ne_zero", "Polynomial.map_ne_zero_iff", "Polynomial.map_neg", "Polynomial.map_ofNat", "Polynomial.map_one", "Polynomial.map_pow", "Polynomial.map_prod", "Polynomial.map_restriction", "Polynomial.map_roots_le", "Polynomial.map_roots_le_of_injective", "Polynomial.map_scaleRoots", "Polynomial.map_smul", "Polynomial.map_sub", "Polynomial.map_sum", "Polynomial.map_surjective", "Polynomial.map_toSubring", "Polynomial.map_zero", "Polynomial.mem_annIdeal_iff_aeval_eq_zero", "Polynomial.mem_aroots", "Polynomial.mem_aroots'", "Polynomial.mem_coeffs_iff", "Polynomial.mem_degreeLE", "Polynomial.mem_degreeLT", "Polynomial.mem_iff_annIdealGenerator_dvd", "Polynomial.mem_iff_eq_smul_annIdealGenerator", "Polynomial.mem_ker_modByMonic", "Polynomial.mem_lift_of_splits_of_roots_mem_range", "Polynomial.mem_lifts", "Polynomial.mem_lifts_and_degree_eq", "Polynomial.mem_lifts_iff_mem_alg", "Polynomial.mem_map_range", "Polynomial.mem_map_rangeS", "Polynomial.mem_nonZeroDivisors_iff", "Polynomial.mem_nonZeroDivisors_of_leadingCoeff", "Polynomial.mem_nthRoots", "Polynomial.mem_nthRootsFinset", "Polynomial.mem_rootSet", "Polynomial.mem_rootSet'", "Polynomial.mem_rootSet_of_ne", "Polynomial.mem_roots", "Polynomial.mem_roots'", "Polynomial.mem_roots_iff_aeval_eq_zero", "Polynomial.mem_roots_map", "Polynomial.mem_roots_sub_C'", "Polynomial.mem_span_C_X_sub_C_X_sub_C_iff_eval_eval_eq_zero", "Polynomial.mem_span_C_coeff", "Polynomial.mem_support_derivative", "Polynomial.mem_support_iff", "Polynomial.mirror_C", "Polynomial.mirror_X", "Polynomial.mirror_eq_iff", "Polynomial.mirror_eq_zero", "Polynomial.mirror_eval_one", "Polynomial.mirror_involutive", "Polynomial.mirror_mirror", "Polynomial.mirror_monomial", "Polynomial.mirror_mul_of_domain", "Polynomial.mirror_natDegree", "Polynomial.mirror_natTrailingDegree", "Polynomial.mirror_neg", "Polynomial.mirror_smul", "Polynomial.mirror_trailingCoeff", "Polynomial.mirror_zero", "Polynomial.mkDerivationEquiv_apply", "Polynomial.mkDerivation_apply", "Polynomial.mkDerivation_one_eq_derivative", "Polynomial.mkDerivation_one_eq_derivative'", "Polynomial.modByMonic_X", "Polynomial.modByMonic_X_sub_C_eq_C_eval", "Polynomial.modByMonic_add_div", "Polynomial.modByMonic_eq_mod", "Polynomial.modByMonic_eq_of_dvd_sub", "Polynomial.modByMonic_eq_self_iff", "Polynomial.modByMonic_eq_sub_mul_div", "Polynomial.modByMonic_eq_zero_iff_dvd", "Polynomial.modByMonic_eq_zero_iff_quotient_eq_zero", "Polynomial.modByMonic_one", "Polynomial.modByMonic_zero", "Polynomial.mod_X_sub_C_eq_C_eval", "Polynomial.mod_def", "Polynomial.mod_eq_self_iff", "Polynomial.monic_C_mul_of_mul_leadingCoeff_eq_one", "Polynomial.monic_X", "Polynomial.monic_X_add_C", "Polynomial.monic_X_pow", "Polynomial.monic_X_pow_add", "Polynomial.monic_X_pow_add_C", "Polynomial.monic_X_pow_sub", "Polynomial.monic_X_pow_sub_C", "Polynomial.monic_X_sub_C", "Polynomial.monic_annIdealGenerator", "Polynomial.monic_expand_iff", "Polynomial.monic_generator_eq_minpoly", "Polynomial.monic_geom_sum_X", "Polynomial.monic_integralNormalization", "Polynomial.monic_map_iff", "Polynomial.monic_mul_C_of_leadingCoeff_mul_eq_one", "Polynomial.monic_mul_leadingCoeff_inv", "Polynomial.monic_multiset_prod_of_monic", "Polynomial.monic_normalize", "Polynomial.monic_of_degree_le", "Polynomial.monic_of_degree_le_of_coeff_eq_one", "Polynomial.monic_of_isUnit_leadingCoeff_inv_smul", "Polynomial.monic_of_natDegree_le_of_coeff_eq_one", "Polynomial.monic_one", "Polynomial.monic_prod_multiset_X_sub_C", "Polynomial.monic_prod_of_monic", "Polynomial.monic_restriction", "Polynomial.monic_scaleRoots_iff", "Polynomial.monic_toSubring", "Polynomial.monic_zero_iff_subsingleton", "Polynomial.monic_zero_iff_subsingleton'", "Polynomial.mono_map_natDegree_eq", "Polynomial.monomial_add_erase", "Polynomial.monomial_comp", "Polynomial.monomial_eq_zero_iff", "Polynomial.monomial_injective", "Polynomial.monomial_left_inj", "Polynomial.monomial_mem_lifts", "Polynomial.monomial_mem_lifts_and_degree_eq", "Polynomial.monomial_mul_C", "Polynomial.monomial_mul_X", "Polynomial.monomial_mul_X_pow", "Polynomial.monomial_mul_monomial", "Polynomial.monomial_neg", "Polynomial.monomial_one_eq_iff", "Polynomial.monomial_one_one_eq_X", "Polynomial.monomial_one_right_eq_X_pow", "Polynomial.monomial_pow", "Polynomial.monomial_sub", "Polynomial.monomial_zero_left", "Polynomial.monomial_zero_one", "Polynomial.monomial_zero_right", "Polynomial.mul_X_add_natCast_comp", "Polynomial.mul_X_comp", "Polynomial.mul_X_pow_comp", "Polynomial.mul_X_sub_intCast_comp", "Polynomial.mul_coeff_zero", "Polynomial.mul_comp", "Polynomial.mul_divByMonic_cancel_left", "Polynomial.mul_divByMonic_eq_iff_isRoot", "Polynomial.mul_div_eq_iff_isRoot", "Polynomial.mul_eq_sum_sum", "Polynomial.mul_mem_nthRootsFinset", "Polynomial.mul_scaleRoots", "Polynomial.mul_scaleRoots'", "Polynomial.mul_scaleRoots_of_noZeroDivisors", "Polynomial.mul_self_modByMonic", "Polynomial.mul_star_dvd_of_aeval_eq_zero_im_ne_zero", "Polynomial.multiplicity_X_sub_C_finite", "Polynomial.multiplicity_finite_of_degree_pos_of_monic", "Polynomial.multiplicity_le_one_of_separable", "Polynomial.multiset_prod_X_sub_C_coeff_card_pred", "Polynomial.multiset_prod_X_sub_C_nextCoeff", "Polynomial.multiset_prod_comp", "Polynomial.natCast_coeff_zero", "Polynomial.natCast_comp", "Polynomial.natCast_mul", "Polynomial.natCast_mul_comp", "Polynomial.natDegree_C", "Polynomial.natDegree_C_add", "Polynomial.natDegree_C_mul_X", "Polynomial.natDegree_C_mul_X_pow", "Polynomial.natDegree_C_mul_eq_of_mul_eq_one", "Polynomial.natDegree_C_mul_eq_of_mul_ne_zero", "Polynomial.natDegree_C_mul_le", "Polynomial.natDegree_X", "Polynomial.natDegree_X_add_C", "Polynomial.natDegree_X_mul", "Polynomial.natDegree_X_pow", "Polynomial.natDegree_X_pow_add_C", "Polynomial.natDegree_X_pow_mul", "Polynomial.natDegree_X_pow_sub_C", "Polynomial.natDegree_X_sub_C", "Polynomial.natDegree_add_C", "Polynomial.natDegree_add_coeff_mul", "Polynomial.natDegree_add_le", "Polynomial.natDegree_add_le_iff_left", "Polynomial.natDegree_add_le_iff_right", "Polynomial.natDegree_add_le_of_le", "Polynomial.natDegree_cancelLeads_lt_of_natDegree_le_natDegree", "Polynomial.natDegree_cancelLeads_lt_of_natDegree_le_natDegree_of_comm", "Polynomial.natDegree_coe_units", "Polynomial.natDegree_comp", "Polynomial.natDegree_comp_le", "Polynomial.natDegree_cubic", "Polynomial.natDegree_cyclotomic", "Polynomial.natDegree_cyclotomic'", "Polynomial.natDegree_derivative_le", "Polynomial.natDegree_derivative_lt", "Polynomial.natDegree_det_X_add_C_le", "Polynomial.natDegree_divByMonic", "Polynomial.natDegree_divX_eq_natDegree_tsub_one", "Polynomial.natDegree_eq_card_roots", "Polynomial.natDegree_eq_card_roots'", "Polynomial.natDegree_eq_of_degree_eq", "Polynomial.natDegree_eq_of_degree_eq_some", "Polynomial.natDegree_eq_of_le_of_coeff_ne_zero", "Polynomial.natDegree_eq_of_natDegree_add_eq_zero", "Polynomial.natDegree_eq_of_natDegree_add_lt_left", "Polynomial.natDegree_eq_of_natDegree_add_lt_right", "Polynomial.natDegree_eq_one", "Polynomial.natDegree_eq_reverse_natDegree_add_natTrailingDegree", "Polynomial.natDegree_eq_support_max'", "Polynomial.natDegree_eq_zero", "Polynomial.natDegree_eq_zero_iff_degree_le_zero", "Polynomial.natDegree_eq_zero_of_derivative_eq_zero", "Polynomial.natDegree_eq_zero_of_isUnit", "Polynomial.natDegree_eraseLead", "Polynomial.natDegree_eraseLead_add_one", "Polynomial.natDegree_eraseLead_le_of_nextCoeff_eq_zero", "Polynomial.natDegree_expand", "Polynomial.natDegree_hasseDeriv", "Polynomial.natDegree_hasseDeriv_le", "Polynomial.natDegree_intCast", "Polynomial.natDegree_iterate_comp", "Polynomial.natDegree_iterate_derivative", "Polynomial.natDegree_le_iff_coeff_eq_zero", "Polynomial.natDegree_le_iff_degree_le", "Polynomial.natDegree_le_of_dvd", "Polynomial.natDegree_le_pred", "Polynomial.natDegree_linear", "Polynomial.natDegree_linear_le", "Polynomial.natDegree_list_prod_le", "Polynomial.natDegree_lt_coeff_mul", "Polynomial.natDegree_lt_iff_degree_lt", "Polynomial.natDegree_lt_natDegree", "Polynomial.natDegree_lt_natDegree_iff", "Polynomial.natDegree_map", "Polynomial.natDegree_map_eq_iff", "Polynomial.natDegree_map_eq_of_injective", "Polynomial.natDegree_map_le", "Polynomial.natDegree_map_of_leadingCoeff_ne_zero", "Polynomial.natDegree_mem_support_of_nonzero", "Polynomial.natDegree_modByMonic_le", "Polynomial.natDegree_modByMonic_lt", "Polynomial.natDegree_monomial", "Polynomial.natDegree_monomial_eq", "Polynomial.natDegree_monomial_le", "Polynomial.natDegree_mul", "Polynomial.natDegree_mul'", "Polynomial.natDegree_mul_C", "Polynomial.natDegree_mul_C_eq_of_mul_eq_one", "Polynomial.natDegree_mul_C_eq_of_mul_ne_zero", "Polynomial.natDegree_mul_C_le", "Polynomial.natDegree_mul_X", "Polynomial.natDegree_mul_X_pow", "Polynomial.natDegree_mul_le", "Polynomial.natDegree_mul_le_of_le", "Polynomial.natDegree_mul_leadingCoeff_inv", "Polynomial.natDegree_mul_leadingCoeff_self_inv", "Polynomial.natDegree_mul_mirror", "Polynomial.natDegree_multiset_prod", "Polynomial.natDegree_multiset_prod'", "Polynomial.natDegree_multiset_prod_X_sub_C_eq_card", "Polynomial.natDegree_multiset_prod_of_monic", "Polynomial.natDegree_multiset_sum_le", "Polynomial.natDegree_natCast", "Polynomial.natDegree_ne_zero_induction_on", "Polynomial.natDegree_neg", "Polynomial.natDegree_neg_le_of_le", "Polynomial.natDegree_not_mem_eraseLead_support", "Polynomial.natDegree_of_subsingleton", "Polynomial.natDegree_one", "Polynomial.natDegree_opRingEquiv", "Polynomial.natDegree_pos_of_eraseLead_ne_zero", "Polynomial.natDegree_pos_of_eval\u2082_root", "Polynomial.natDegree_pos_of_nextCoeff_ne_zero", "Polynomial.natDegree_pos_of_not_isUnit_of_dvd_monic", "Polynomial.natDegree_pow", "Polynomial.natDegree_pow'", "Polynomial.natDegree_pow_X_add_C", "Polynomial.natDegree_pow_le", "Polynomial.natDegree_pow_le_of_le", "Polynomial.natDegree_primPart", "Polynomial.natDegree_prod", "Polynomial.natDegree_prod'", "Polynomial.natDegree_prod_le", "Polynomial.natDegree_prod_of_monic", "Polynomial.natDegree_quadratic", "Polynomial.natDegree_quadratic_le", "Polynomial.natDegree_removeFactor", "Polynomial.natDegree_removeFactor'", "Polynomial.natDegree_restriction", "Polynomial.natDegree_scaleRoots", "Polynomial.natDegree_smul_le", "Polynomial.natDegree_smul_of_smul_regular", "Polynomial.natDegree_sub", "Polynomial.natDegree_sub_C", "Polynomial.natDegree_sub_eq_left_of_natDegree_lt", "Polynomial.natDegree_sub_eq_of_prod_eq", "Polynomial.natDegree_sub_eq_right_of_natDegree_lt", "Polynomial.natDegree_sub_le", "Polynomial.natDegree_sub_le_iff_left", "Polynomial.natDegree_sub_le_iff_right", "Polynomial.natDegree_sub_le_of_le", "Polynomial.natDegree_sum_eq_of_disjoint", "Polynomial.natDegree_taylor", "Polynomial.natDegree_toSubring", "Polynomial.natDegree_zero", "Polynomial.natSepDegree_C", "Polynomial.natSepDegree_C_mul", "Polynomial.natSepDegree_C_mul_X_sub_C_pow", "Polynomial.natSepDegree_X", "Polynomial.natSepDegree_X_pow_char_pow_sub_C", "Polynomial.natSepDegree_X_sub_C", "Polynomial.natSepDegree_X_sub_C_pow", "Polynomial.natSepDegree_eq_natDegree_iff", "Polynomial.natSepDegree_eq_natDegree_of_separable", "Polynomial.natSepDegree_eq_of_isAlgClosed", "Polynomial.natSepDegree_eq_of_splits", "Polynomial.natSepDegree_eq_zero", "Polynomial.natSepDegree_eq_zero_iff", "Polynomial.natSepDegree_expand", "Polynomial.natSepDegree_le_natDegree", "Polynomial.natSepDegree_le_of_dvd", "Polynomial.natSepDegree_map", "Polynomial.natSepDegree_mul", "Polynomial.natSepDegree_mul_eq_iff", "Polynomial.natSepDegree_ne_zero", "Polynomial.natSepDegree_one", "Polynomial.natSepDegree_pow", "Polynomial.natSepDegree_pow_of_ne_zero", "Polynomial.natSepDegree_smul_nonzero", "Polynomial.natSepDegree_zero", "Polynomial.natTrailingDegree_C", "Polynomial.natTrailingDegree_X_le", "Polynomial.natTrailingDegree_X_pow", "Polynomial.natTrailingDegree_eq_of_trailingDegree_eq", "Polynomial.natTrailingDegree_eq_of_trailingDegree_eq_some", "Polynomial.natTrailingDegree_eq_support_min'", "Polynomial.natTrailingDegree_eq_zero_of_constantCoeff_ne_zero", "Polynomial.natTrailingDegree_intCast", "Polynomial.natTrailingDegree_le_natDegree", "Polynomial.natTrailingDegree_le_of_mem_supp", "Polynomial.natTrailingDegree_le_of_ne_zero", "Polynomial.natTrailingDegree_monomial", "Polynomial.natTrailingDegree_monomial_le", "Polynomial.natTrailingDegree_mul'", "Polynomial.natTrailingDegree_mul_X_pow", "Polynomial.natTrailingDegree_mul_mirror", "Polynomial.natTrailingDegree_natCast", "Polynomial.natTrailingDegree_ne_zero", "Polynomial.natTrailingDegree_reverse", "Polynomial.natTrailingDegree_zero", "Polynomial.ne_zero_of_degree_ge_degree", "Polynomial.ne_zero_of_degree_gt", "Polynomial.ne_zero_of_mem_nthRootsFinset", "Polynomial.ne_zero_of_mem_rootSet", "Polynomial.ne_zero_of_mem_roots", "Polynomial.ne_zero_of_natDegree_gt", "Polynomial.ne_zero_of_ne_zero_of_monic", "Polynomial.ne_zero_of_trailingDegree_lt", "Polynomial.neg_modByMonic", "Polynomial.newtonMap_apply_of_isUnit", "Polynomial.newtonMap_apply_of_not_isUnit", "Polynomial.nextCoeffUp_C_eq_zero", "Polynomial.nextCoeffUp_of_constantCoeff_eq_zero", "Polynomial.nextCoeffUp_zero", "Polynomial.nextCoeff_C_eq_zero", "Polynomial.nextCoeff_X_sub_C", "Polynomial.nextCoeff_eq_zero", "Polynomial.nextCoeff_eq_zero_of_eraseLead_eq_zero", "Polynomial.nextCoeff_map", "Polynomial.nextCoeff_ne_zero", "Polynomial.nextCoeff_of_natDegree_pos", "Polynomial.nmem_nonZeroDivisors_iff", "Polynomial.nnqsmul_eq_C_mul", "Polynomial.nodup_aroots_iff_of_splits", "Polynomial.nodup_of_separable_prod", "Polynomial.nodup_roots", "Polynomial.nodup_roots_iff_of_splits", "Polynomial.nonempty_support_iff", "Polynomial.normUnit_X", "Polynomial.normUnit_content", "Polynomial.normalize_content", "Polynomial.not_dvd_of_degree_lt", "Polynomial.not_dvd_of_natDegree_lt", "Polynomial.not_finite", "Polynomial.not_irreducible_C", "Polynomial.not_isField", "Polynomial.not_isUnit_X", "Polynomial.not_isUnit_X_pow_sub_one", "Polynomial.not_isUnit_X_sub_C", "Polynomial.not_isUnit_of_degree_pos", "Polynomial.not_isUnit_of_natDegree_pos", "Polynomial.not_isUnit_of_natDegree_pos_of_isReduced", "Polynomial.not_monic_zero", "Polynomial.not_monic_zero_iff", "Polynomial.not_separable_zero", "Polynomial.nthRootsFinset_def", "Polynomial.nthRootsFinset_zero", "Polynomial.nthRoots_two_eq_zero_iff", "Polynomial.nthRoots_zero", "Polynomial.nthRoots_zero_right", "Polynomial.ofFinsupp_add", "Polynomial.ofFinsupp_eq_one", "Polynomial.ofFinsupp_eq_zero", "Polynomial.ofFinsupp_erase", "Polynomial.ofFinsupp_inj", "Polynomial.ofFinsupp_mul", "Polynomial.ofFinsupp_neg", "Polynomial.ofFinsupp_one", "Polynomial.ofFinsupp_pow", "Polynomial.ofFinsupp_single", "Polynomial.ofFinsupp_sub", "Polynomial.ofFinsupp_sum", "Polynomial.ofFinsupp_zero", "Polynomial.ofNat_comp", "Polynomial.ofReal_eval", "Polynomial.of_irreducible_expand", "Polynomial.of_irreducible_expand_pow", "Polynomial.of_mem_support_derivative", "Polynomial.one_comp", "Polynomial.one_lt_rootMultiplicity_iff_isRoot_gcd", "Polynomial.one_lt_rootMultiplicity_iff_isRoot_iterate_derivative", "Polynomial.one_mem_nthRootsFinset", "Polynomial.one_scaleRoots", "Polynomial.opRingEquiv_op_C", "Polynomial.opRingEquiv_op_C_mul_X_pow", "Polynomial.opRingEquiv_op_X", "Polynomial.opRingEquiv_op_monomial", "Polynomial.opRingEquiv_symm_C_mul_X_pow", "Polynomial.opRingEquiv_symm_monomial", "Polynomial.orderOf_root_cyclotomic_dvd", "Polynomial.pairwise_coprime_X_sub_C", "Polynomial.poly_binom_aux2", "Polynomial.poly_binom_aux3", "Polynomial.pow_comp", "Polynomial.pow_mul_divByMonic_rootMultiplicity_eq", "Polynomial.pow_rootMultiplicity_dvd", "Polynomial.pow_rootMultiplicity_not_dvd", "Polynomial.pow_sub_dvd_iterate_derivative_of_pow_dvd", "Polynomial.pow_sub_dvd_iterate_derivative_pow", "Polynomial.pow_sub_one_dvd_derivative_of_pow_dvd", "Polynomial.primPart_dvd", "Polynomial.primPart_mul", "Polynomial.primPart_ne_zero", "Polynomial.primPart_zero", "Polynomial.prime_C_iff", "Polynomial.prime_X", "Polynomial.prime_X_sub_C", "Polynomial.prime_of_degree_eq_one", "Polynomial.prod_X_sub_C_coeff_card_pred", "Polynomial.prod_X_sub_C_nextCoeff", "Polynomial.prod_comp", "Polynomial.prod_cyclotomic'_eq_X_pow_sub_one", "Polynomial.prod_cyclotomic_eq_X_pow_sub_one", "Polynomial.prod_cyclotomic_eq_geom_sum", "Polynomial.prod_multiset_X_sub_C_dvd", "Polynomial.prod_multiset_X_sub_C_of_monic_of_roots_card_eq", "Polynomial.prod_multiset_root_eq_finset_root", "Polynomial.prod_roots_eq_coeff_zero_of_monic_of_split", "Polynomial.qsmul_eq_C_mul", "Polynomial.quadratic_dvd_of_aeval_eq_zero_im_ne_zero", "Polynomial.quotientSpanXSubCAlgEquiv_mk", "Polynomial.quotientSpanXSubCAlgEquiv_symm_apply", "Polynomial.quotient_mul_add_remainder_eq_aux", "Polynomial.reflect_C", "Polynomial.reflect_C_mul", "Polynomial.reflect_C_mul_X_pow", "Polynomial.reflect_add", "Polynomial.reflect_eq_zero_iff", "Polynomial.reflect_monomial", "Polynomial.reflect_mul", "Polynomial.reflect_mul_induction", "Polynomial.reflect_neg", "Polynomial.reflect_one_X", "Polynomial.reflect_sub", "Polynomial.reflect_support", "Polynomial.reflect_zero", "Polynomial.remainder_lt_aux", "Polynomial.restriction_one", "Polynomial.restriction_zero", "Polynomial.revAtFun_eq", "Polynomial.revAtFun_inj", "Polynomial.revAtFun_invol", "Polynomial.revAt_add", "Polynomial.revAt_eq_self_of_lt", "Polynomial.revAt_invol", "Polynomial.revAt_le", "Polynomial.revAt_zero", "Polynomial.reverse_C", "Polynomial.reverse_C_add", "Polynomial.reverse_X_mul", "Polynomial.reverse_X_pow_mul", "Polynomial.reverse_add_C", "Polynomial.reverse_eq_zero", "Polynomial.reverse_leadingCoeff", "Polynomial.reverse_mul", "Polynomial.reverse_mul_X", "Polynomial.reverse_mul_X_pow", "Polynomial.reverse_mul_of_domain", "Polynomial.reverse_natDegree", "Polynomial.reverse_natDegree_le", "Polynomial.reverse_neg", "Polynomial.reverse_trailingCoeff", "Polynomial.reverse_zero", "Polynomial.ringHom_eval\u2082_intCastRingHom", "Polynomial.ringHom_ext", "Polynomial.ringHom_ext'", "Polynomial.rootMultiplicity_C", "Polynomial.rootMultiplicity_X_sub_C", "Polynomial.rootMultiplicity_X_sub_C_pow", "Polynomial.rootMultiplicity_X_sub_C_self", "Polynomial.rootMultiplicity_add", "Polynomial.rootMultiplicity_eq_multiplicity", "Polynomial.rootMultiplicity_eq_natTrailingDegree", "Polynomial.rootMultiplicity_eq_natTrailingDegree'", "Polynomial.rootMultiplicity_eq_nat_find_of_nonzero", "Polynomial.rootMultiplicity_eq_rootMultiplicity", "Polynomial.rootMultiplicity_eq_zero", "Polynomial.rootMultiplicity_eq_zero_iff", "Polynomial.rootMultiplicity_expand", "Polynomial.rootMultiplicity_expand_pow", "Polynomial.rootMultiplicity_le_iff", "Polynomial.rootMultiplicity_le_one_of_separable", "Polynomial.rootMultiplicity_mul", "Polynomial.rootMultiplicity_mul'", "Polynomial.rootMultiplicity_mul_X_sub_C_pow", "Polynomial.rootMultiplicity_pos", "Polynomial.rootMultiplicity_pos'", "Polynomial.rootMultiplicity_sub_one_le_derivative_rootMultiplicity", "Polynomial.rootMultiplicity_zero", "Polynomial.rootOfSplits'_eq_rootOfSplits", "Polynomial.rootSet_C", "Polynomial.rootSet_C_mul_X_pow", "Polynomial.rootSet_X_pow", "Polynomial.rootSet_def", "Polynomial.rootSet_finite", "Polynomial.rootSet_mapsTo", "Polynomial.rootSet_maps_to'", "Polynomial.rootSet_monomial", "Polynomial.rootSet_neg", "Polynomial.rootSet_one", "Polynomial.rootSet_prod", "Polynomial.rootSet_zero", "Polynomial.root_X_sub_C", "Polynomial.root_gcd_iff_root_left_right", "Polynomial.root_left_of_root_gcd", "Polynomial.root_mul", "Polynomial.root_mul_left_of_isRoot", "Polynomial.root_mul_right_of_isRoot", "Polynomial.root_or_root_of_root_mul", "Polynomial.root_right_of_root_gcd", "Polynomial.roots.le_of_dvd", "Polynomial.rootsExpandEquivRoots_apply", "Polynomial.rootsExpandPowToRoots_apply", "Polynomial.roots_C", "Polynomial.roots_C_mul", "Polynomial.roots_X", "Polynomial.roots_X_pow", "Polynomial.roots_X_pow_char_pow_sub_C", "Polynomial.roots_X_pow_char_pow_sub_C_pow", "Polynomial.roots_X_pow_char_sub_C", "Polynomial.roots_X_pow_char_sub_C_pow", "Polynomial.roots_X_sub_C", "Polynomial.roots_cyclotomic_nodup", "Polynomial.roots_def", "Polynomial.roots_expand", "Polynomial.roots_expand_image_frobenius", "Polynomial.roots_expand_image_frobenius_subset", "Polynomial.roots_expand_image_iterateFrobenius", "Polynomial.roots_expand_map_frobenius_le", "Polynomial.roots_expand_pow", "Polynomial.roots_expand_pow_image_iterateFrobenius_subset", "Polynomial.roots_expand_pow_map_iterateFrobenius", "Polynomial.roots_expand_pow_map_iterateFrobenius_le", "Polynomial.roots_list_prod", "Polynomial.roots_map", "Polynomial.roots_map_of_injective_of_card_eq_natDegree", "Polynomial.roots_monomial", "Polynomial.roots_mul", "Polynomial.roots_multiset_prod", "Polynomial.roots_multiset_prod_X_sub_C", "Polynomial.roots_ne_zero_of_splits", "Polynomial.roots_ne_zero_of_splits'", "Polynomial.roots_neg", "Polynomial.roots_normalize", "Polynomial.roots_of_cyclotomic", "Polynomial.roots_pow", "Polynomial.roots_prod", "Polynomial.roots_prod_X_sub_C", "Polynomial.roots_smul_nonzero", "Polynomial.roots_zero", "Polynomial.scaleRoots.isWeaklyEisensteinAt", "Polynomial.scaleRoots_C", "Polynomial.scaleRoots_aeval_eq_zero", "Polynomial.scaleRoots_aeval_eq_zero_of_aeval_div_eq_zero", "Polynomial.scaleRoots_dvd", "Polynomial.scaleRoots_dvd'", "Polynomial.scaleRoots_dvd_iff", "Polynomial.scaleRoots_eval\u2082_eq_zero", "Polynomial.scaleRoots_eval\u2082_eq_zero_of_eval\u2082_div_eq_zero", "Polynomial.scaleRoots_eval\u2082_mul_of_commute", "Polynomial.scaleRoots_mul", "Polynomial.scaleRoots_ne_zero", "Polynomial.scaleRoots_one", "Polynomial.scaleRoots_zero", "Polynomial.self_mul_modByMonic", "Polynomial.self_sub_C_mul_X_pow", "Polynomial.self_sub_monomial_natDegree_leadingCoeff", "Polynomial.separable_C", "Polynomial.separable_X", "Polynomial.separable_X_add_C", "Polynomial.separable_X_pow_sub_C_of_irreducible", "Polynomial.separable_X_pow_sub_C_unit", "Polynomial.separable_X_sub_C", "Polynomial.separable_def", "Polynomial.separable_gcd_left", "Polynomial.separable_gcd_right", "Polynomial.separable_iff_derivative_ne_zero", "Polynomial.separable_map", "Polynomial.separable_of_subsingleton", "Polynomial.separable_one", "Polynomial.separable_or", "Polynomial.separable_prod'", "Polynomial.separable_prod_X_sub_C_iff", "Polynomial.separable_prod_X_sub_C_iff'", "Polynomial.smeval.linearMap_apply", "Polynomial.smeval_C", "Polynomial.smeval_C_mul", "Polynomial.smeval_X", "Polynomial.smeval_X_mul", "Polynomial.smeval_X_pow", "Polynomial.smeval_X_pow_assoc", "Polynomial.smeval_X_pow_mul", "Polynomial.smeval_add", "Polynomial.smeval_assoc_X_pow", "Polynomial.smeval_at_natCast", "Polynomial.smeval_at_zero", "Polynomial.smeval_comp", "Polynomial.smeval_eq_sum", "Polynomial.smeval_monomial", "Polynomial.smeval_monomial_mul", "Polynomial.smeval_mul", "Polynomial.smeval_mul_X", "Polynomial.smeval_mul_X_pow", "Polynomial.smeval_natCast", "Polynomial.smeval_neg", "Polynomial.smeval_one", "Polynomial.smeval_pow", "Polynomial.smeval_smul", "Polynomial.smeval_sub", "Polynomial.smeval_zero", "Polynomial.smul_C", "Polynomial.smul_X", "Polynomial.smul_X_eq_monomial", "Polynomial.smul_comp", "Polynomial.smul_eq_C_mul", "Polynomial.smul_eq_map", "Polynomial.smul_eval_smul", "Polynomial.smul_mem_lifts", "Polynomial.smul_modByMonic", "Polynomial.smul_monomial", "Polynomial.span_le_degreeLE_of_finite", "Polynomial.span_le_of_C_coeff_mem", "Polynomial.span_minpoly_eq_annihilator", "Polynomial.span_singleton_annIdealGenerator", "Polynomial.splits_C", "Polynomial.splits_X", "Polynomial.splits_X_pow", "Polynomial.splits_comp_of_splits", "Polynomial.splits_id_iff_splits", "Polynomial.splits_iff_card_roots", "Polynomial.splits_iff_exists_multiset", "Polynomial.splits_map_iff", "Polynomial.splits_mul", "Polynomial.splits_mul_iff", "Polynomial.splits_of_algHom", "Polynomial.splits_of_comp", "Polynomial.splits_of_degree_eq_one", "Polynomial.splits_of_degree_le_one", "Polynomial.splits_of_exists_multiset", "Polynomial.splits_of_isUnit", "Polynomial.splits_of_map_degree_eq_one", "Polynomial.splits_of_map_eq_C", "Polynomial.splits_of_natDegree_eq_one", "Polynomial.splits_of_splits_gcd_right", "Polynomial.splits_of_splits_mul", "Polynomial.splits_of_splits_mul'", "Polynomial.splits_of_splits_of_dvd", "Polynomial.splits_one", "Polynomial.splits_pow", "Polynomial.splits_prod", "Polynomial.splits_prod_iff", "Polynomial.sub_comp", "Polynomial.sub_dvd_eval_sub", "Polynomial.sub_modByMonic", "Polynomial.sub_one_lt_natAbs_cyclotomic_eval", "Polynomial.sub_one_pow_totient_le_cyclotomic_eval", "Polynomial.sub_one_pow_totient_lt_cyclotomic_eval", "Polynomial.sub_one_pow_totient_lt_natAbs_cyclotomic_eval", "Polynomial.sum_C_index", "Polynomial.sum_C_mul_X_pow_eq", "Polynomial.sum_X_index", "Polynomial.sum_add", "Polynomial.sum_add'", "Polynomial.sum_add_index", "Polynomial.sum_bernoulli", "Polynomial.sum_comp", "Polynomial.sum_def", "Polynomial.sum_fin", "Polynomial.sum_modByMonic_coeff", "Polynomial.sum_monomial_eq", "Polynomial.sum_over_range", "Polynomial.sum_over_range'", "Polynomial.sum_range_pow_eq_bernoulli_sub", "Polynomial.sum_roots_eq_nextCoeff_of_monic_of_split", "Polynomial.sum_taylor_eq", "Polynomial.sum_zero_index", "Polynomial.supDegree_eq_degree", "Polynomial.supDegree_eq_natDegree", "Polynomial.sup_aeval_range_eq_top_of_coprime", "Polynomial.sup_ker_aeval_eq_ker_aeval_mul_of_coprime", "Polynomial.sup_ker_aeval_le_ker_aeval_mul", "Polynomial.supp_subset_range", "Polynomial.supp_subset_range_natDegree_succ", "Polynomial.support_C_mul_X", "Polynomial.support_C_mul_X'", "Polynomial.support_C_mul_X_pow", "Polynomial.support_C_mul_X_pow'", "Polynomial.support_X", "Polynomial.support_X_empty", "Polynomial.support_X_pow", "Polynomial.support_add", "Polynomial.support_binomial", "Polynomial.support_eq_empty", "Polynomial.support_erase", "Polynomial.support_integralNormalization", "Polynomial.support_map_of_injective", "Polynomial.support_map_subset", "Polynomial.support_monomial", "Polynomial.support_monomial'", "Polynomial.support_neg", "Polynomial.support_nonempty", "Polynomial.support_ofFinsupp", "Polynomial.support_opRingEquiv", "Polynomial.support_restriction", "Polynomial.support_scaleRoots_eq", "Polynomial.support_scaleRoots_le", "Polynomial.support_smul", "Polynomial.support_toFinsupp", "Polynomial.support_toSubring", "Polynomial.support_trinomial", "Polynomial.support_trinomial'", "Polynomial.support_update", "Polynomial.support_update_ne_zero", "Polynomial.support_update_zero", "Polynomial.support_zero", "Polynomial.taylor_C", "Polynomial.taylor_X", "Polynomial.taylor_apply", "Polynomial.taylor_coeff", "Polynomial.taylor_coeff_one", "Polynomial.taylor_coeff_zero", "Polynomial.taylor_eval", "Polynomial.taylor_eval_sub", "Polynomial.taylor_injective", "Polynomial.taylor_monomial", "Polynomial.taylor_mul", "Polynomial.taylor_one", "Polynomial.taylor_taylor", "Polynomial.taylor_zero'", "Polynomial.tendsto_abv_aeval_atTop", "Polynomial.tendsto_abv_atTop", "Polynomial.tendsto_abv_eval\u2082_atTop", "Polynomial.tendsto_atBot_iff_leadingCoeff_nonpos", "Polynomial.tendsto_atBot_of_leadingCoeff_nonpos", "Polynomial.tendsto_atTop_iff_leadingCoeff_nonneg", "Polynomial.tendsto_div_exp_atTop", "Polynomial.tendsto_nhds_iff", "Polynomial.tendsto_norm_atTop", "Polynomial.toContinuousMap_X_eq_id", "Polynomial.toFinsupp_C", "Polynomial.toFinsupp_C_mul_X", "Polynomial.toFinsupp_C_mul_X_pow", "Polynomial.toFinsupp_X_pow", "Polynomial.toFinsupp_add", "Polynomial.toFinsupp_algebraMap", "Polynomial.toFinsupp_apply", "Polynomial.toFinsupp_eq_one", "Polynomial.toFinsupp_eq_zero", "Polynomial.toFinsupp_erase", "Polynomial.toFinsupp_inj", "Polynomial.toFinsupp_monomial", "Polynomial.toFinsupp_mul", "Polynomial.toFinsupp_neg", "Polynomial.toFinsupp_one", "Polynomial.toFinsupp_pow", "Polynomial.toFinsupp_smul", "Polynomial.toFinsupp_sub", "Polynomial.toFinsupp_sum", "Polynomial.toFinsupp_zero", "Polynomial.toLaurentAlg_apply", "Polynomial.toLaurent_C", "Polynomial.toLaurent_C_mul_T", "Polynomial.toLaurent_C_mul_X_pow", "Polynomial.toLaurent_X", "Polynomial.toLaurent_X_pow", "Polynomial.toLaurent_comp_C", "Polynomial.toLaurent_injective", "Polynomial.toLaurent_ne_zero", "Polynomial.toLaurent_one", "Polynomial.toSubring_one", "Polynomial.toSubring_zero", "Polynomial.trailingCoeff_eq_zero", "Polynomial.trailingCoeff_mul", "Polynomial.trailingCoeff_zero", "Polynomial.trailingDegree_C_mul_X_pow", "Polynomial.trailingDegree_X", "Polynomial.trailingDegree_X_pow", "Polynomial.trailingDegree_eq_iff_natTrailingDegree_eq", "Polynomial.trailingDegree_eq_iff_natTrailingDegree_eq_of_pos", "Polynomial.trailingDegree_eq_natTrailingDegree", "Polynomial.trailingDegree_eq_top", "Polynomial.trailingDegree_eq_zero", "Polynomial.trailingDegree_le_of_ne_zero", "Polynomial.trailingDegree_le_trailingDegree", "Polynomial.trailingDegree_lt_wf", "Polynomial.trailingDegree_monomial", "Polynomial.trailingDegree_mul", "Polynomial.trailingDegree_mul'", "Polynomial.trailingDegree_ne_of_natTrailingDegree_ne", "Polynomial.trailingDegree_ne_zero", "Polynomial.trailingDegree_neg", "Polynomial.trailingDegree_one_le", "Polynomial.trailingDegree_zero", "Polynomial.trinomial_def", "Polynomial.trinomial_leadingCoeff", "Polynomial.trinomial_leading_coeff'", "Polynomial.trinomial_middle_coeff", "Polynomial.trinomial_mirror", "Polynomial.trinomial_natDegree", "Polynomial.trinomial_natTrailingDegree", "Polynomial.trinomial_support", "Polynomial.trinomial_trailingCoeff", "Polynomial.trinomial_trailing_coeff'", "Polynomial.two_le_natDegree_of_nextCoeff_eraseLead", "Polynomial.two_mul_C_half_eq_one", "Polynomial.unique_int_coeff_of_cycl", "Polynomial.unique_separable_of_irreducible", "Polynomial.units_coeff_zero_smul", "Polynomial.update_eq_add_sub_coeff", "Polynomial.zero_comp", "Polynomial.zero_divByMonic", "Polynomial.zero_isRoot_of_coeff_zero_eq_zero", "Polynomial.zero_le_degree_iff", "Polynomial.zero_modByMonic", "Polynomial.zero_nmem_multiset_map_X_add_C", "Polynomial.zero_nmem_multiset_map_X_sub_C", "Polynomial.zero_of_eval_zero", "PolynomialModule.add_apply", "PolynomialModule.comp_eval", "PolynomialModule.comp_single", "PolynomialModule.comp_smul", "PolynomialModule.eval_lsingle", "PolynomialModule.eval_map", "PolynomialModule.eval_map'", "PolynomialModule.eval_single", "PolynomialModule.eval_smul", "PolynomialModule.induction_linear", "PolynomialModule.lsingle_apply", "PolynomialModule.map_single", "PolynomialModule.map_smul", "PolynomialModule.monomial_smul_apply", "PolynomialModule.monomial_smul_single", "PolynomialModule.single_apply", "PolynomialModule.smul_apply", "PolynomialModule.smul_def", "PolynomialModule.smul_single_apply", "PolynomialModule.zero_apply", "PontryaginDual.map_comp", "PontryaginDual.map_mul", "PontryaginDual.map_one", "PosMulReflectLT.toPosMulReflectLE", "PosNum.add_one", "PosNum.add_to_nat", "PosNum.bit0_of_bit0", "PosNum.bit1_of_bit1", "PosNum.bit_to_nat", "PosNum.cast_add", "PosNum.cast_bit1", "PosNum.cast_inj", "PosNum.cast_le", "PosNum.cast_lt", "PosNum.cast_mul", "PosNum.cast_one", "PosNum.cast_sub'", "PosNum.cast_succ", "PosNum.cast_to_int", "PosNum.cast_to_nat", "PosNum.cast_to_num", "PosNum.cast_to_znum", "PosNum.cmp_eq", "PosNum.cmp_swap", "PosNum.cmp_to_nat", "PosNum.cmp_to_nat_lemma", "PosNum.divMod_to_nat", "PosNum.divMod_to_nat_aux", "PosNum.dvd_to_nat", "PosNum.land_eq_and", "PosNum.le_iff_cmp", "PosNum.le_to_nat", "PosNum.lor_eq_or", "PosNum.lt_iff_cmp", "PosNum.lxor_eq_xor", "PosNum.minFacAux_to_nat", "PosNum.minFac_to_nat", "PosNum.mul_to_nat", "PosNum.natSize_pos", "PosNum.natSize_to_nat", "PosNum.of_to_nat", "PosNum.of_to_nat'", "PosNum.pred'_succ'", "PosNum.pred'_to_nat", "PosNum.pred_to_nat", "PosNum.shiftl_succ_eq_bit0_shiftl", "PosNum.shiftr_eq_shiftRight", "PosNum.size_eq_natSize", "PosNum.size_to_nat", "PosNum.sub'_one", "PosNum.succ'_pred'", "PosNum.succ_to_nat", "PosNum.to_nat_eq_succ_pred", "PosNum.to_nat_inj", "PosNum.to_nat_pos", "PosSMulMono.lift", "PosSMulReflectLE_iff_posSMulReflectLT", "PosSMulReflectLT.lift", "PosSMulReflectLT.of_pos", "PosSMulReflectLT.toPosSMulMono", "PosSMulStrictMono.lift", "Positive.coe_add", "Positive.coe_zpow", "Positive.val_mul", "Positive.val_one", "Positive.val_pow", "PowerBasis.adjoin_eq_top_of_gen_mem_adjoin", "PowerBasis.adjoin_gen_eq_top", "PowerBasis.aeval_minpolyGen", "PowerBasis.algHom_ext", "PowerBasis.coe_basis", "PowerBasis.constr_pow_aeval", "PowerBasis.constr_pow_algebraMap", "PowerBasis.constr_pow_mul", "PowerBasis.degree_minpolyGen", "PowerBasis.dim_le_degree_of_root", "PowerBasis.dim_le_natDegree_of_root", "PowerBasis.dim_pos", "PowerBasis.equivAdjoinSimple_aeval", "PowerBasis.equivAdjoinSimple_symm_aeval", "PowerBasis.equivAdjoinSimple_symm_gen", "PowerBasis.equivOfMinpoly_gen", "PowerBasis.equivOfMinpoly_map", "PowerBasis.equivOfMinpoly_symm", "PowerBasis.equivOfRoot_aeval", "PowerBasis.equivOfRoot_gen", "PowerBasis.equivOfRoot_map", "PowerBasis.equivOfRoot_symm", "PowerBasis.exists_eq_aeval'", "PowerBasis.finite", "PowerBasis.finrank", "PowerBasis.isIntegral_gen", "PowerBasis.leftMulMatrix", "PowerBasis.mem_span_pow", "PowerBasis.mem_span_pow'", "PowerBasis.minpolyGen_eq", "PowerBasis.minpolyGen_map", "PowerBasis.minpolyGen_monic", "PowerBasis.natDegree_minpolyGen", "PowerBasis.ofGenMemAdjoin'_dim", "PowerBasis.quotientEquivQuotientMinpolyMap_apply_mk", "PowerBasis.quotientEquivQuotientMinpolyMap_symm_apply_mk", "PowerBasis.repr_gen_pow_isIntegral", "PowerBasis.repr_mul_isIntegral", "PowerBasis.repr_pow_isIntegral", "PowerBasis.toMatrix_isIntegral", "PowerBasis.trace_gen_eq_nextCoeff_minpoly", "PowerBasis.trace_gen_eq_sum_roots", "PowerSeries.C_eq_algebraMap", "PowerSeries.C_injective", "PowerSeries.C_inv", "PowerSeries.Inv_divided_by_X_pow_order_leftInv", "PowerSeries.Inv_divided_by_X_pow_order_rightInv", "PowerSeries.Unit_of_divided_by_X_pow_order_nonzero", "PowerSeries.Unit_of_divided_by_X_pow_order_zero", "PowerSeries.X_dvd_iff", "PowerSeries.X_eq", "PowerSeries.X_eq_normalizeX", "PowerSeries.X_ne_zero", "PowerSeries.X_pow_dvd_iff", "PowerSeries.X_pow_eq", "PowerSeries.X_pow_order_dvd", "PowerSeries.X_prime", "PowerSeries.algebraMap_apply''", "PowerSeries.coe_C", "PowerSeries.coe_X", "PowerSeries.coe_add", "PowerSeries.coe_mul", "PowerSeries.coe_neg", "PowerSeries.coe_one", "PowerSeries.coe_smul", "PowerSeries.coe_sub", "PowerSeries.coe_zero", "PowerSeries.coeff_C", "PowerSeries.coeff_C_mul_X_pow", "PowerSeries.coeff_X", "PowerSeries.coeff_X_pow", "PowerSeries.coeff_X_pow_mul", "PowerSeries.coeff_X_pow_mul'", "PowerSeries.coeff_X_pow_self", "PowerSeries.coeff_coe", "PowerSeries.coeff_coe_trunc_of_lt", "PowerSeries.coeff_comp_monomial", "PowerSeries.coeff_cos_bit0", "PowerSeries.coeff_cos_bit1", "PowerSeries.coeff_def", "PowerSeries.coeff_derivative", "PowerSeries.coeff_derivativeFun", "PowerSeries.coeff_exp", "PowerSeries.coeff_inv", "PowerSeries.coeff_invOfUnit", "PowerSeries.coeff_inv_aux", "PowerSeries.coeff_mk", "PowerSeries.coeff_monomial", "PowerSeries.coeff_monomial_same", "PowerSeries.coeff_mul", "PowerSeries.coeff_mul_C", "PowerSeries.coeff_mul_X_pow", "PowerSeries.coeff_mul_X_pow'", "PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc", "PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc\u2082", "PowerSeries.coeff_mul_of_lt_order", "PowerSeries.coeff_mul_one_sub_of_lt_order", "PowerSeries.coeff_mul_prod_one_sub_of_lt_order", "PowerSeries.coeff_ne_zero_C", "PowerSeries.coeff_of_lt_order", "PowerSeries.coeff_one", "PowerSeries.coeff_one_X", "PowerSeries.coeff_order", "PowerSeries.coeff_prod", "PowerSeries.coeff_rescale", "PowerSeries.coeff_sin_bit0", "PowerSeries.coeff_sin_bit1", "PowerSeries.coeff_smul", "PowerSeries.coeff_succ_C", "PowerSeries.coeff_succ_X_mul", "PowerSeries.coeff_succ_mul_X", "PowerSeries.coeff_trunc", "PowerSeries.coeff_zero_C", "PowerSeries.coeff_zero_X", "PowerSeries.coeff_zero_X_mul", "PowerSeries.coeff_zero_eq_constantCoeff", "PowerSeries.coeff_zero_eq_constantCoeff_apply", "PowerSeries.coeff_zero_mul_X", "PowerSeries.constantCoeff_X", "PowerSeries.constantCoeff_comp_C", "PowerSeries.constantCoeff_exp", "PowerSeries.constantCoeff_inv", "PowerSeries.constantCoeff_invOfUnit", "PowerSeries.constantCoeff_invUnitsSub", "PowerSeries.constantCoeff_one", "PowerSeries.constantCoeff_smul", "PowerSeries.constantCoeff_surj", "PowerSeries.degree_trunc_lt", "PowerSeries.derivative.ext", "PowerSeries.derivativeFun_C", "PowerSeries.derivativeFun_add", "PowerSeries.derivativeFun_coe", "PowerSeries.derivativeFun_coe_mul_coe", "PowerSeries.derivativeFun_mul", "PowerSeries.derivativeFun_one", "PowerSeries.derivativeFun_smul", "PowerSeries.derivative_C", "PowerSeries.derivative_X", "PowerSeries.derivative_coe", "PowerSeries.derivative_inv'", "PowerSeries.derivative_invOf", "PowerSeries.divided_by_X_pow_orderMul", "PowerSeries.divided_by_X_pow_order_of_X_eq_one", "PowerSeries.eq_X_mul_shift_add_const", "PowerSeries.eq_divided_by_X_pow_order_Iff_Unit", "PowerSeries.eq_inv_iff_mul_eq_one", "PowerSeries.eq_mul_inv_iff_mul_eq", "PowerSeries.eq_shift_mul_X_add_const", "PowerSeries.eq_zero_or_eq_zero_of_mul_eq_zero", "PowerSeries.evalNegHom_X", "PowerSeries.eval\u2082_trunc_eq_sum_range", "PowerSeries.exists_coeff_ne_zero_iff_ne_zero", "PowerSeries.exp_mul_exp_eq_exp_add", "PowerSeries.exp_pow_eq_rescale_exp", "PowerSeries.exp_pow_sum", "PowerSeries.ext", "PowerSeries.ext_iff", "PowerSeries.hasUnitMulPowIrreducibleFactorization", "PowerSeries.invOfUnit_eq", "PowerSeries.invOfUnit_eq'", "PowerSeries.invOneSubPow_eq_inv_one_sub_pow", "PowerSeries.invOneSubPow_val_eq_mk_choose_add", "PowerSeries.invOneSubPow_val_zero_eq_invUnitSub_one", "PowerSeries.invUnitsSub_mul_X", "PowerSeries.invUnitsSub_mul_sub", "PowerSeries.inv_eq_iff_mul_eq_one", "PowerSeries.inv_eq_inv_aux", "PowerSeries.inv_eq_zero", "PowerSeries.inv_mul_cancel", "PowerSeries.isUnit_constantCoeff", "PowerSeries.isUnit_divided_by_X_pow_order", "PowerSeries.ker_coeff_eq_max_ideal", "PowerSeries.le_order", "PowerSeries.le_order_add", "PowerSeries.map_C", "PowerSeries.map_X", "PowerSeries.map_cos", "PowerSeries.map_invUnitsSub", "PowerSeries.map_sin", "PowerSeries.maximalIdeal_eq_span_X", "PowerSeries.mk_one_mul_one_sub_eq_one", "PowerSeries.mk_one_pow_eq_mk_choose_add", "PowerSeries.monomial_eq_mk", "PowerSeries.monomial_zero_eq_C", "PowerSeries.monomial_zero_eq_C_apply", "PowerSeries.mul_invOfUnit", "PowerSeries.mul_inv_cancel", "PowerSeries.mul_inv_rev", "PowerSeries.natDegree_trunc_lt", "PowerSeries.nat_le_order", "PowerSeries.normUnit_X", "PowerSeries.not_isField", "PowerSeries.order_X", "PowerSeries.order_X_pow", "PowerSeries.order_add_of_order_eq", "PowerSeries.order_add_of_order_eq.aux", "PowerSeries.order_eq", "PowerSeries.order_eq_multiplicity_X", "PowerSeries.order_eq_nat", "PowerSeries.order_eq_top", "PowerSeries.order_finite_iff_ne_zero", "PowerSeries.order_le", "PowerSeries.order_monomial", "PowerSeries.order_monomial_of_ne_zero", "PowerSeries.order_mul", "PowerSeries.order_mul_ge", "PowerSeries.order_one", "PowerSeries.order_zero", "PowerSeries.order_zero_of_unit", "PowerSeries.rescale_X", "PowerSeries.rescale_injective", "PowerSeries.rescale_mk", "PowerSeries.rescale_mul", "PowerSeries.rescale_neg_one_X", "PowerSeries.rescale_one", "PowerSeries.rescale_rescale", "PowerSeries.rescale_zero", "PowerSeries.smul_eq_C_mul", "PowerSeries.smul_inv", "PowerSeries.span_X_isPrime", "PowerSeries.sub_const_eq_X_mul_shift", "PowerSeries.sub_const_eq_shift_mul_X", "PowerSeries.subsingleton_iff", "PowerSeries.trunc_C", "PowerSeries.trunc_X", "PowerSeries.trunc_add", "PowerSeries.trunc_coe_eq_self", "PowerSeries.trunc_derivative", "PowerSeries.trunc_derivativeFun", "PowerSeries.trunc_mul_trunc", "PowerSeries.trunc_one", "PowerSeries.trunc_succ", "PowerSeries.trunc_trunc", "PowerSeries.trunc_trunc_mul", "PowerSeries.trunc_trunc_of_le", "PowerSeries.trunc_trunc_pow", "PowerSeries.trunc_zero", "PowerSeries.trunc_zero'", "PowerSeries.zero_inv", "PreErgodic.ae_eq_const_of_ae_eq_comp", "PreErgodic.of_iterate", "PreQuasiregular.val_mul", "PreTilt.coeff_nat_find_add_ne_zero", "PreTilt.map_eq_zero", "PreTilt.valAux_add", "PreTilt.valAux_eq", "PreTilt.valAux_mul", "PreTilt.valAux_one", "PreTilt.valAux_zero", "PreconnectedSpace.constant", "PreconnectedSpace.induction\u2082", "PreconnectedSpace.induction\u2082'", "PreconnectedSpace.trivial_of_discrete", "Pred.rec_iff", "Pred.rec_top", "PredOrder.limitRecOn_limit", "PredOrder.limitRecOn_pred", "Prefunctor.IsCovering.of_comp_left", "Prefunctor.IsCovering.of_comp_right", "Prefunctor.IsCovering.pathStar_bijective", "Prefunctor.IsCovering.symmetrify", "Prefunctor.bijective_costar_iff_bijective_star", "Prefunctor.comp_id", "Prefunctor.congr_map", "Prefunctor.costar_comp", "Prefunctor.ext", "Prefunctor.id_comp", "Prefunctor.isCovering_of_bijective_costar", "Prefunctor.mapPath_comp", "Prefunctor.mapPath_cons", "Prefunctor.mapPath_nil", "Prefunctor.mapPath_toPath", "Prefunctor.map_reverse", "Prefunctor.mk_map", "Prefunctor.mk_obj", "Prefunctor.pathStar_apply", "Prefunctor.pathStar_bijective", "Prefunctor.pathStar_injective", "Prefunctor.pathStar_surjective", "Prefunctor.star_apply", "Prefunctor.star_comp", "Prefunctor.symmetrifyCostar", "Prefunctor.symmetrifyStar", "Preimage.isSubfield", "Preorder.toLE_injective", "Preperfect.open_inter", "Preperfect.perfect_closure", "PresentedGroup.closure_range_of", "PresentedGroup.closure_rels_subset_ker", "PresentedGroup.equivPresentedGroup_symm_apply_of", "PresentedGroup.ext", "PresentedGroup.toGroup.of", "PresentedGroup.toGroup.unique", "PresentedGroup.to_group_eq_one_of_mem_closure", "PresheafOfModules.Derivation'.app_apply", "PresheafOfModules.Derivation'.d_app", "PresheafOfModules.Derivation'.mk_app", "PresheafOfModules.Derivation.congr_d", "PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_map_apply", "PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_map_d", "PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_obj", "PresheafOfModules.Hom.add_app", "PresheafOfModules.Hom.comp_app", "PresheafOfModules.Hom.comp_hom", "PresheafOfModules.Hom.neg_app", "PresheafOfModules.Hom.sub_app", "PresheafOfModules.Sheafify.add_smul", "PresheafOfModules.Sheafify.app_eq_of_isLocallyInjective", "PresheafOfModules.Sheafify.map_smul", "PresheafOfModules.Sheafify.map_smul_eq", "PresheafOfModules.Sheafify.mul_smul", "PresheafOfModules.Sheafify.one_smul", "PresheafOfModules.Sheafify.smul_add", "PresheafOfModules.Sheafify.smul_zero", "PresheafOfModules.Sheafify.zero_smul", "PresheafOfModules.colimitCocone\u03b9App_naturality", "PresheafOfModules.comp_sheafifyHomEquiv'_symm_hom", "PresheafOfModules.isSheaf_of_isLimit", "PresheafOfModules.limitCone\u03c0App_naturality", "PresheafOfModules.map_comp", "PresheafOfModules.map_id", "PresheafOfModules.pushforward_map_app_apply", "PresheafOfModules.pushforward_obj_map_apply", "PresheafOfModules.restrictionApp_apply", "PresheafOfModules.restrictionApp_comp", "PresheafOfModules.restrictionApp_id", "PresheafOfModules.restrictionApp_naturality", "PresheafOfModules.sections_ext", "PresheafOfModules.sections_property", "PresheafOfModules.sheafificationAdjunction_unit_app_hom", "PresheafOfModules.sheafificationHomEquiv_hom", "PresheafOfModules.toPresheaf_map_app", "PresheafOfModules.toSheaf_map_sheafificationHomEquiv_symm", "Pretrivialization.apply_mk_symm", "Pretrivialization.apply_symm_apply'", "Pretrivialization.coe_coe", "Pretrivialization.coe_fst", "Pretrivialization.coe_fst'", "Pretrivialization.coe_linearMapAt", "Pretrivialization.coe_linearMapAt_of_mem", "Pretrivialization.coe_mem_source", "Pretrivialization.coe_symm_of_not_mem", "Pretrivialization.continuousLinearMapCoordChange_apply", "Pretrivialization.continuousLinearMap_apply", "Pretrivialization.continuousLinearMap_symm_apply", "Pretrivialization.continuousLinearMap_symm_apply'", "Pretrivialization.continuousOn_continuousLinearMapCoordChange", "Pretrivialization.eqOn", "Pretrivialization.ext", "Pretrivialization.linearMapAt_def_of_not_mem", "Pretrivialization.linearMapAt_symm\u2097", "Pretrivialization.mem_source", "Pretrivialization.mem_target", "Pretrivialization.mk_proj_snd", "Pretrivialization.mk_proj_snd'", "Pretrivialization.mk_symm", "Pretrivialization.preimage_symm_proj_baseSet", "Pretrivialization.preimage_symm_proj_inter", "Pretrivialization.proj_surjOn_baseSet", "Pretrivialization.proj_symm_apply", "Pretrivialization.proj_symm_apply'", "Pretrivialization.symm_apply", "Pretrivialization.symm_apply_mk_proj", "Pretrivialization.symm_coe_proj", "Pretrivialization.symm_proj_apply", "Pretrivialization.symm_trans_source_eq", "Pretrivialization.symm_trans_target_eq", "Pretrivialization.symm\u2097_linearMapAt", "Pretrivialization.target_inter_preimage_symm_source_eq", "Pretrivialization.toPartialEquiv_injective", "Pretrivialization.trans_source", "Primcodable.mem_range_encode", "Prime.coprime_iff_not_dvd", "Prime.dvd_finset_prod_iff", "Prime.dvd_of_dvd_pow", "Prime.dvd_of_pow_dvd_pow_mul_pow_of_square_not_dvd", "Prime.dvd_pow_iff_dvd", "Prime.dvd_prime_iff_associated", "Prime.dvd_prod_iff", "Prime.exists_mem_finset_dvd", "Prime.exists_mem_multiset_map_dvd", "Prime.irreducible", "Prime.isPrimal", "Prime.isPrimePow", "Prime.left_dvd_or_dvd_right_of_dvd_mul", "Prime.ne_zero", "Prime.neg", "Prime.not_dvd_finset_prod", "Prime.not_dvd_mul", "Prime.not_dvd_prod", "Prime.not_square", "Prime.not_unit", "Prime.pow_dvd_of_dvd_mul_left", "Prime.pow_dvd_of_dvd_mul_right", "PrimeMultiset.coeNat_injective", "PrimeMultiset.coeNat_ofPrime", "PrimeMultiset.coeNat_prime", "PrimeMultiset.coePNat_nat", "PrimeMultiset.coe_coePNatMonoidHom", "PrimeMultiset.coe_prod", "PrimeMultiset.factorMultiset_prod", "PrimeMultiset.prod_add", "PrimeMultiset.prod_dvd_iff", "PrimeMultiset.prod_dvd_iff'", "PrimeMultiset.prod_inf", "PrimeMultiset.prod_ofNatList", "PrimeMultiset.prod_ofNatMultiset", "PrimeMultiset.prod_ofPNatList", "PrimeMultiset.prod_ofPNatMultiset", "PrimeMultiset.prod_smul", "PrimeMultiset.prod_sup", "PrimeMultiset.to_ofNatMultiset", "PrimeMultiset.to_ofPNatMultiset", "PrimeSpectrum.asIdeal_le_asIdeal", "PrimeSpectrum.asIdeal_lt_asIdeal", "PrimeSpectrum.basicOpen_eq_bot_iff", "PrimeSpectrum.basicOpen_eq_zeroLocus_compl", "PrimeSpectrum.basicOpen_le_basicOpen_iff", "PrimeSpectrum.basicOpen_mul", "PrimeSpectrum.basicOpen_mul_le_left", "PrimeSpectrum.basicOpen_mul_le_right", "PrimeSpectrum.basicOpen_one", "PrimeSpectrum.basicOpen_pow", "PrimeSpectrum.closedEmbedding_comap_of_surjective", "PrimeSpectrum.closure_singleton", "PrimeSpectrum.coe_vanishingIdeal", "PrimeSpectrum.comap_asIdeal", "PrimeSpectrum.comap_basicOpen", "PrimeSpectrum.comap_comp", "PrimeSpectrum.comap_id", "PrimeSpectrum.comap_inducing_of_surjective", "PrimeSpectrum.comap_injective_of_surjective", "PrimeSpectrum.comap_singleton_isClosed_of_isIntegral", "PrimeSpectrum.comap_singleton_isClosed_of_surjective", "PrimeSpectrum.exists_primeSpectrum_prod_le", "PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain", "PrimeSpectrum.gc_set", "PrimeSpectrum.iInf_localization_eq_bot", "PrimeSpectrum.image_comap_zeroLocus_eq_zeroLocus_comap", "PrimeSpectrum.isBasis_basic_opens", "PrimeSpectrum.isClosed_iff_zeroLocus", "PrimeSpectrum.isClosed_iff_zeroLocus_ideal", "PrimeSpectrum.isClosed_iff_zeroLocus_radical_ideal", "PrimeSpectrum.isClosed_range_comap_of_surjective", "PrimeSpectrum.isClosed_singleton_iff_isMaximal", "PrimeSpectrum.isClosed_zeroLocus", "PrimeSpectrum.isCompact_basicOpen", "PrimeSpectrum.isIrreducible_iff_vanishingIdeal_isPrime", "PrimeSpectrum.isIrreducible_zeroLocus_iff_of_radical", "PrimeSpectrum.isOpen_basicOpen", "PrimeSpectrum.isOpen_iff", "PrimeSpectrum.isRadical_vanishingIdeal", "PrimeSpectrum.isTopologicalBasis_basic_opens", "PrimeSpectrum.le_iff_mem_closure", "PrimeSpectrum.le_iff_specializes", "PrimeSpectrum.le_vanishingIdeal_zeroLocus", "PrimeSpectrum.localization_away_comap_range", "PrimeSpectrum.localization_away_openEmbedding", "PrimeSpectrum.localization_comap_embedding", "PrimeSpectrum.localization_comap_inducing", "PrimeSpectrum.localization_comap_injective", "PrimeSpectrum.localization_comap_range", "PrimeSpectrum.mem_compl_zeroLocus_iff_not_mem", "PrimeSpectrum.mem_vanishingIdeal", "PrimeSpectrum.mem_zeroLocus", "PrimeSpectrum.preimage_comap_zeroLocus", "PrimeSpectrum.preimage_comap_zeroLocus_aux", "PrimeSpectrum.primeSpectrumProd_symm_inr_asIdeal", "PrimeSpectrum.range_comap_of_surjective", "PrimeSpectrum.subset_vanishingIdeal_zeroLocus", "PrimeSpectrum.subset_zeroLocus_iff_le_vanishingIdeal", "PrimeSpectrum.subset_zeroLocus_iff_subset_vanishingIdeal", "PrimeSpectrum.sup_vanishingIdeal_le", "PrimeSpectrum.t1Space_iff_isField", "PrimeSpectrum.union_zeroLocus", "PrimeSpectrum.vanishingIdeal_anti_mono", "PrimeSpectrum.vanishingIdeal_anti_mono_iff", "PrimeSpectrum.vanishingIdeal_closure", "PrimeSpectrum.vanishingIdeal_empty", "PrimeSpectrum.vanishingIdeal_eq_top_iff", "PrimeSpectrum.vanishingIdeal_iUnion", "PrimeSpectrum.vanishingIdeal_irreducibleComponents", "PrimeSpectrum.vanishingIdeal_isClosed_isIrreducible", "PrimeSpectrum.vanishingIdeal_isIrreducible", "PrimeSpectrum.vanishingIdeal_mem_minimalPrimes", "PrimeSpectrum.vanishingIdeal_strict_anti_mono_iff", "PrimeSpectrum.vanishingIdeal_zeroLocus_eq_radical", "PrimeSpectrum.zeroLocus_anti_mono", "PrimeSpectrum.zeroLocus_anti_mono_ideal", "PrimeSpectrum.zeroLocus_empty", "PrimeSpectrum.zeroLocus_empty_iff_eq_top", "PrimeSpectrum.zeroLocus_empty_of_one_mem", "PrimeSpectrum.zeroLocus_iSup", "PrimeSpectrum.zeroLocus_ideal_mem_irreducibleComponents", "PrimeSpectrum.zeroLocus_inf", "PrimeSpectrum.zeroLocus_minimalPrimes", "PrimeSpectrum.zeroLocus_pow", "PrimeSpectrum.zeroLocus_radical", "PrimeSpectrum.zeroLocus_singleton_mul", "PrimeSpectrum.zeroLocus_singleton_one", "PrimeSpectrum.zeroLocus_singleton_pow", "PrimeSpectrum.zeroLocus_singleton_zero", "PrimeSpectrum.zeroLocus_span", "PrimeSpectrum.zeroLocus_subset_zeroLocus_iff", "PrimeSpectrum.zeroLocus_subset_zeroLocus_singleton_iff", "PrimeSpectrum.zeroLocus_union", "PrimeSpectrum.zeroLocus_univ", "PrimeSpectrum.zeroLocus_vanishingIdeal_eq_closure", "Primrec.beq", "Primrec.bind_decode_iff", "Primrec.comp", "Primrec.comp\u2082", "Primrec.cond", "Primrec.const", "Primrec.dom_bool", "Primrec.dom_fintype", "Primrec.encdec", "Primrec.encode", "Primrec.encode_iff", "Primrec.eq", "Primrec.fin_curry", "Primrec.fin_curry\u2081", "Primrec.fin_val_iff", "Primrec.fst", "Primrec.id", "Primrec.ite", "Primrec.listLookup", "Primrec.list_append", "Primrec.list_bind", "Primrec.list_casesOn", "Primrec.list_concat", "Primrec.list_cons", "Primrec.list_findIdx", "Primrec.list_findIdx\u2081", "Primrec.list_foldl", "Primrec.list_foldr", "Primrec.list_get?\u2081", "Primrec.list_getD", "Primrec.list_getI", "Primrec.list_head?", "Primrec.list_headI", "Primrec.list_indexOf", "Primrec.list_indexOf\u2081", "Primrec.list_join", "Primrec.list_map", "Primrec.list_ofFn", "Primrec.list_range", "Primrec.list_rec", "Primrec.map_decode_iff", "Primrec.nat_add", "Primrec.nat_bodd", "Primrec.nat_casesOn'", "Primrec.nat_casesOn\u2081", "Primrec.nat_div", "Primrec.nat_div2", "Primrec.nat_double_succ", "Primrec.nat_findGreatest", "Primrec.nat_iff", "Primrec.nat_iterate", "Primrec.nat_le", "Primrec.nat_max", "Primrec.nat_min", "Primrec.nat_mod", "Primrec.nat_omega_rec", "Primrec.nat_omega_rec'", "Primrec.nat_rec", "Primrec.nat_rec'", "Primrec.nat_rec\u2081", "Primrec.nat_sqrt", "Primrec.nat_strong_rec", "Primrec.nat_sub", "Primrec.of_eq", "Primrec.of_equiv", "Primrec.of_equiv_symm", "Primrec.of_graph", "Primrec.option_bind\u2081", "Primrec.option_casesOn", "Primrec.option_get", "Primrec.option_getD", "Primrec.option_guard", "Primrec.option_iget", "Primrec.option_map\u2081", "Primrec.option_some", "Primrec.option_some_iff", "Primrec.pair", "Primrec.pred", "Primrec.snd", "Primrec.subtype_mk", "Primrec.subtype_val", "Primrec.subtype_val_iff", "Primrec.succ", "Primrec.sum_casesOn", "Primrec.sum_inr", "Primrec.to_comp", "Primrec.to\u2082", "Primrec.ulower_up", "Primrec.unpair", "Primrec.vector_cons", "Primrec.vector_get", "Primrec.vector_head", "Primrec.vector_length", "Primrec.vector_ofFn", "Primrec.vector_ofFn'", "Primrec.vector_tail", "Primrec.vector_toList", "Primrec.vector_toList_iff", "PrimrecPred.comp", "PrimrecRel.comp", "PrimrecRel.of_eq", "Primrec\u2082.comp", "Primrec\u2082.comp\u2082", "Primrec\u2082.const", "Primrec\u2082.curry", "Primrec\u2082.left", "Primrec\u2082.mk", "Primrec\u2082.natPair", "Primrec\u2082.nat_iff", "Primrec\u2082.of_eq", "Primrec\u2082.option_some_iff", "Primrec\u2082.right", "Primrec\u2082.swap", "Primrec\u2082.to_comp", "Primrec\u2082.uncurry", "Primrec\u2082.unpaired", "Primrec\u2082.unpaired'", "PrincipalIdealRing.factors_spec", "PrincipalIdealRing.isMaximal_of_irreducible", "PrincipalIdealRing.mem_submonoid_of_factors_subset_of_units_subset", "PrincipalIdealRing.ringHom_mem_submonoid_of_factors_subset_of_units_subset", "PrincipalSeg.acc", "PrincipalSeg.coe_coe_fn'", "PrincipalSeg.down", "PrincipalSeg.equivLT_apply", "PrincipalSeg.equivLT_top", "PrincipalSeg.irrefl", "PrincipalSeg.lt_le_apply", "PrincipalSeg.lt_top", "PrincipalSeg.ofElement_top", "PrincipalSeg.ofIsEmpty_top", "PrincipalSeg.subrelIso_apply", "PrincipalSeg.topLTTop", "PrincipalSeg.top_eq", "PrincipalSeg.trans_top", "ProbabilityMeasure.toFiniteMeasure_normalize_eq_self", "ProbabilityTheory.CondIndep.condIndepSet_of_measurableSet", "ProbabilityTheory.CondIndep.condIndepSets", "ProbabilityTheory.CondIndep.symm", "ProbabilityTheory.CondIndepFun.comp", "ProbabilityTheory.CondIndepSets.bInter", "ProbabilityTheory.CondIndepSets.condIndep", "ProbabilityTheory.CondIndepSets.iInter", "ProbabilityTheory.CondIndepSets.symm", "ProbabilityTheory.CondIndepSets.union", "ProbabilityTheory.IdentDistrib.ae_mem_snd", "ProbabilityTheory.IdentDistrib.ae_snd", "ProbabilityTheory.IdentDistrib.aestronglyMeasurable_snd", "ProbabilityTheory.IdentDistrib.coe_nnreal_ennreal", "ProbabilityTheory.IdentDistrib.comp", "ProbabilityTheory.IdentDistrib.comp_of_aemeasurable", "ProbabilityTheory.IdentDistrib.div_const", "ProbabilityTheory.IdentDistrib.essSup_eq", "ProbabilityTheory.IdentDistrib.integral_eq", "ProbabilityTheory.IdentDistrib.inv", "ProbabilityTheory.IdentDistrib.lintegral_eq", "ProbabilityTheory.IdentDistrib.measure_mem_eq", "ProbabilityTheory.IdentDistrib.mem\u2112p_iff", "ProbabilityTheory.IdentDistrib.mem\u2112p_snd", "ProbabilityTheory.IdentDistrib.mul_const", "ProbabilityTheory.IdentDistrib.norm", "ProbabilityTheory.IdentDistrib.of_ae_eq", "ProbabilityTheory.IdentDistrib.pow", "ProbabilityTheory.IdentDistrib.refl", "ProbabilityTheory.IdentDistrib.snorm_eq", "ProbabilityTheory.IdentDistrib.symm", "ProbabilityTheory.IdentDistrib.trans", "ProbabilityTheory.IdentDistrib.variance_eq", "ProbabilityTheory.Indep.indepSet_of_measurableSet", "ProbabilityTheory.Indep.symm", "ProbabilityTheory.IndepFun.ae_eq", "ProbabilityTheory.IndepFun.cgf_add", "ProbabilityTheory.IndepFun.comp", "ProbabilityTheory.IndepFun.exp_mul", "ProbabilityTheory.IndepFun.integrable_exp_mul_add", "ProbabilityTheory.IndepFun.integrable_left_of_integrable_mul", "ProbabilityTheory.IndepFun.integrable_mul", "ProbabilityTheory.IndepFun.integrable_right_of_integrable_mul", "ProbabilityTheory.IndepFun.integral_mul", "ProbabilityTheory.IndepFun.integral_mul'", "ProbabilityTheory.IndepFun.integral_mul_of_integrable", "ProbabilityTheory.IndepFun.integral_mul_of_nonneg", "ProbabilityTheory.IndepFun.meas_inter", "ProbabilityTheory.IndepFun.mgf_add", "ProbabilityTheory.IndepFun.mgf_add'", "ProbabilityTheory.IndepFun.neg_left", "ProbabilityTheory.IndepFun.symm", "ProbabilityTheory.IndepFun.variance_add", "ProbabilityTheory.IndepFun.variance_sum", "ProbabilityTheory.IndepFun_iff", "ProbabilityTheory.IndepFun_iff_Indep", "ProbabilityTheory.IndepSet_iff", "ProbabilityTheory.IndepSet_iff_Indep", "ProbabilityTheory.IndepSets.bUnion", "ProbabilityTheory.IndepSets.iInter", "ProbabilityTheory.IndepSets.indep", "ProbabilityTheory.IndepSets.indep'", "ProbabilityTheory.IndepSets.indepSet_of_mem", "ProbabilityTheory.IndepSets.inter", "ProbabilityTheory.IndepSets.symm", "ProbabilityTheory.IndepSets.union_iff", "ProbabilityTheory.IndepSets_iff", "ProbabilityTheory.Indep_iff", "ProbabilityTheory.Indep_iff_IndepSets", "ProbabilityTheory.IsCondKernelCDF.integral", "ProbabilityTheory.IsCondKernelCDF.le_one", "ProbabilityTheory.IsCondKernelCDF.lintegral", "ProbabilityTheory.IsCondKernelCDF.setLIntegral", "ProbabilityTheory.IsCondKernelCDF.toKernel_Iic", "ProbabilityTheory.IsCondKernelCDF.toKernel_apply", "ProbabilityTheory.IsMeasurableRatCDF.continuousWithinAt_stieltjesFunctionAux_Ici", "ProbabilityTheory.IsMeasurableRatCDF.iInf_rat_gt_eq", "ProbabilityTheory.IsMeasurableRatCDF.measurable_measure_stieltjesFunction", "ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunction", "ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_Iic", "ProbabilityTheory.IsMeasurableRatCDF.measure_stieltjesFunction_univ", "ProbabilityTheory.IsMeasurableRatCDF.monotone_stieltjesFunctionAux", "ProbabilityTheory.IsMeasurableRatCDF.nonneg", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionAux_def'", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionAux_eq", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionAux_nonneg", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionAux_unit_prod", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_eq", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_le_one", "ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_nonneg", "ProbabilityTheory.IsMeasurableRatCDF.tendsto_atBot_zero", "ProbabilityTheory.IsMeasurableRatCDF.tendsto_atTop_one", "ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atBot", "ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atTop", "ProbabilityTheory.IsMeasurableRatCDF_defaultRatCDF", "ProbabilityTheory.IsRatCondKernelCDF.iInf_rat_gt_eq", "ProbabilityTheory.IsRatCondKernelCDF.mono", "ProbabilityTheory.IsRatCondKernelCDF.tendsto_atBot_zero", "ProbabilityTheory.IsRatCondKernelCDF.tendsto_atTop_one", "ProbabilityTheory.IsRatCondKernelCDFAux.bddBelow_range", "ProbabilityTheory.IsRatCondKernelCDFAux.iInf_rat_gt_eq", "ProbabilityTheory.IsRatCondKernelCDFAux.integrable_iInf_rat_gt", "ProbabilityTheory.IsRatCondKernelCDFAux.isRatStieltjesPoint_ae", "ProbabilityTheory.IsRatCondKernelCDFAux.le_one", "ProbabilityTheory.IsRatCondKernelCDFAux.measurable_right", "ProbabilityTheory.IsRatCondKernelCDFAux.mono", "ProbabilityTheory.IsRatCondKernelCDFAux.nonneg", "ProbabilityTheory.IsRatCondKernelCDFAux.setIntegral_iInf_rat_gt", "ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_atBot_zero", "ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_atTop_one", "ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_one_of_monotone", "ProbabilityTheory.IsRatCondKernelCDFAux.tendsto_zero_of_antitone", "ProbabilityTheory.IsRatStieltjesPoint.ite", "ProbabilityTheory.Mem\u2112p.uniformIntegrable_of_identDistrib", "ProbabilityTheory.Mem\u2112p.uniformIntegrable_of_identDistrib_aux", "ProbabilityTheory.StieltjesFunction.measurable_measure", "ProbabilityTheory.abs_truncation_le_abs_self", "ProbabilityTheory.abs_truncation_le_bound", "ProbabilityTheory.absolutelyContinuous_cond_univ", "ProbabilityTheory.aestronglyMeasurable'_integral_condDistrib", "ProbabilityTheory.aestronglyMeasurable'_integral_condexpKernel", "ProbabilityTheory.aestronglyMeasurable_exp_mul_add", "ProbabilityTheory.aestronglyMeasurable_exp_mul_sum", "ProbabilityTheory.cdf_eq_toReal", "ProbabilityTheory.cdf_le_one", "ProbabilityTheory.cdf_measure_stieltjesFunction", "ProbabilityTheory.cdf_nonneg", "ProbabilityTheory.centralMoment_one", "ProbabilityTheory.centralMoment_one'", "ProbabilityTheory.centralMoment_zero", "ProbabilityTheory.cgf_const", "ProbabilityTheory.cgf_const'", "ProbabilityTheory.cgf_neg", "ProbabilityTheory.cgf_undef", "ProbabilityTheory.cgf_zero", "ProbabilityTheory.cgf_zero'", "ProbabilityTheory.cgf_zero_fun", "ProbabilityTheory.cgf_zero_measure", "ProbabilityTheory.comap_cond", "ProbabilityTheory.compProd_toKernel", "ProbabilityTheory.condCDF_ae_eq", "ProbabilityTheory.condCDF_eq_stieltjesOfMeasurableRat_unit_prod", "ProbabilityTheory.condCDF_le_one", "ProbabilityTheory.condCDF_nonneg", "ProbabilityTheory.condCount_add_compl_eq", "ProbabilityTheory.condCount_compl", "ProbabilityTheory.condCount_disjoint_union", "ProbabilityTheory.condCount_empty_meas", "ProbabilityTheory.condCount_eq_one_of", "ProbabilityTheory.condCount_eq_zero_iff", "ProbabilityTheory.condCount_inter", "ProbabilityTheory.condCount_inter'", "ProbabilityTheory.condCount_inter_self", "ProbabilityTheory.condCount_isProbabilityMeasure", "ProbabilityTheory.condCount_self", "ProbabilityTheory.condCount_singleton", "ProbabilityTheory.condCount_union", "ProbabilityTheory.condCount_univ", "ProbabilityTheory.condDistrib_ae_eq_condexp", "ProbabilityTheory.condDistrib_ae_eq_of_measure_eq_compProd", "ProbabilityTheory.condDistrib_apply_of_ne_zero", "ProbabilityTheory.condIndepFun_iff_condIndep", "ProbabilityTheory.condIndepFun_iff_condIndepSet_preimage", "ProbabilityTheory.condIndepFun_iff_condexp_inter_preimage_eq_mul", "ProbabilityTheory.condIndepSet_iff", "ProbabilityTheory.condIndepSet_iff_condIndep", "ProbabilityTheory.condIndepSet_iff_condIndepSets_singleton", "ProbabilityTheory.condIndepSets_iff", "ProbabilityTheory.condIndepSets_of_condIndepSets_of_le_left", "ProbabilityTheory.condIndepSets_of_condIndepSets_of_le_right", "ProbabilityTheory.condIndepSets_singleton_iff", "ProbabilityTheory.condIndep_biSup_compl", "ProbabilityTheory.condIndep_biSup_limsup", "ProbabilityTheory.condIndep_bot_left", "ProbabilityTheory.condIndep_bot_right", "ProbabilityTheory.condIndep_iSup_directed_limsup", "ProbabilityTheory.condIndep_iSup_of_antitone", "ProbabilityTheory.condIndep_iSup_of_directed_le", "ProbabilityTheory.condIndep_iSup_of_disjoint", "ProbabilityTheory.condIndep_iSup_of_monotone", "ProbabilityTheory.condIndep_iff", "ProbabilityTheory.condIndep_iff_condIndepSets", "ProbabilityTheory.condIndep_iff_forall_condIndepSet", "ProbabilityTheory.condIndep_limsup_atBot_self", "ProbabilityTheory.condIndep_limsup_self", "ProbabilityTheory.condKernel_const", "ProbabilityTheory.cond_add_cond_compl_eq", "ProbabilityTheory.cond_apply", "ProbabilityTheory.cond_apply'", "ProbabilityTheory.cond_cond_eq_cond_inter", "ProbabilityTheory.cond_cond_eq_cond_inter'", "ProbabilityTheory.cond_empty", "ProbabilityTheory.cond_eq_inv_mul_cond_mul", "ProbabilityTheory.cond_eq_zero", "ProbabilityTheory.cond_inter_self", "ProbabilityTheory.cond_isProbabilityMeasure_of_finite", "ProbabilityTheory.cond_mul_eq_inter", "ProbabilityTheory.cond_mul_eq_inter'", "ProbabilityTheory.cond_pos_of_inter_ne_zero", "ProbabilityTheory.cond_toMeasurable_eq", "ProbabilityTheory.cond_univ", "ProbabilityTheory.condexpKernel_ae_eq_condexp", "ProbabilityTheory.condexpKernel_ae_eq_condexp'", "ProbabilityTheory.condexpKernel_ae_eq_trim_condexp", "ProbabilityTheory.condexpKernel_apply_eq_condDistrib", "ProbabilityTheory.condexp_ae_eq_integral_condDistrib", "ProbabilityTheory.condexp_ae_eq_integral_condDistrib'", "ProbabilityTheory.condexp_ae_eq_integral_condDistrib_id", "ProbabilityTheory.condexp_ae_eq_integral_condexpKernel", "ProbabilityTheory.condexp_ae_eq_integral_condexpKernel'", "ProbabilityTheory.condexp_eq_zero_or_one_of_condIndepSet_self", "ProbabilityTheory.condexp_prod_ae_eq_integral_condDistrib", "ProbabilityTheory.condexp_prod_ae_eq_integral_condDistrib'", "ProbabilityTheory.condexp_prod_ae_eq_integral_condDistrib\u2080", "ProbabilityTheory.condexp_zero_or_one_of_measurableSet_limsup", "ProbabilityTheory.condexp_zero_or_one_of_measurableSet_limsup_atBot", "ProbabilityTheory.defaultRatCDF_le_one", "ProbabilityTheory.defaultRatCDF_nonneg", "ProbabilityTheory.eq_condKernel_of_kernel_eq_compProd", "ProbabilityTheory.eq_condKernel_of_measure_eq_compProd", "ProbabilityTheory.eq_condKernel_of_measure_eq_compProd'", "ProbabilityTheory.eq_condKernel_of_measure_eq_compProd_real", "ProbabilityTheory.evariance_def'", "ProbabilityTheory.evariance_eq_lintegral_ofReal", "ProbabilityTheory.evariance_eq_top", "ProbabilityTheory.evariance_eq_zero_iff", "ProbabilityTheory.evariance_lt_top_iff_mem\u2112p", "ProbabilityTheory.evariance_mul", "ProbabilityTheory.evariance_zero", "ProbabilityTheory.exp_neg_integrableOn_Ioc", "ProbabilityTheory.exponentialCDFReal_eq", "ProbabilityTheory.exponentialCDFReal_eq_integral", "ProbabilityTheory.exponentialPDFReal_pos", "ProbabilityTheory.exponentialPDF_eq", "ProbabilityTheory.exponentialPDF_of_neg", "ProbabilityTheory.exponentialPDF_of_nonneg", "ProbabilityTheory.finite_of_condCount_ne_zero", "ProbabilityTheory.gammaCDFReal_eq_integral", "ProbabilityTheory.gammaCDFReal_eq_lintegral", "ProbabilityTheory.gammaPDFReal_pos", "ProbabilityTheory.gammaPDF_of_neg", "ProbabilityTheory.gammaPDF_of_nonneg", "ProbabilityTheory.gaussianPDFReal_add", "ProbabilityTheory.gaussianPDFReal_def", "ProbabilityTheory.gaussianPDFReal_inv_mul", "ProbabilityTheory.gaussianPDFReal_mul", "ProbabilityTheory.gaussianPDFReal_nonneg", "ProbabilityTheory.gaussianPDFReal_pos", "ProbabilityTheory.gaussianPDFReal_sub", "ProbabilityTheory.gaussianPDFReal_zero_var", "ProbabilityTheory.gaussianPDF_def", "ProbabilityTheory.gaussianPDF_pos", "ProbabilityTheory.gaussianPDF_zero_var", "ProbabilityTheory.gaussianReal_absolutelyContinuous", "ProbabilityTheory.gaussianReal_absolutelyContinuous'", "ProbabilityTheory.gaussianReal_add_const", "ProbabilityTheory.gaussianReal_apply", "ProbabilityTheory.gaussianReal_apply_eq_integral", "ProbabilityTheory.gaussianReal_const_add", "ProbabilityTheory.gaussianReal_const_mul", "ProbabilityTheory.gaussianReal_map_add_const", "ProbabilityTheory.gaussianReal_map_const_add", "ProbabilityTheory.gaussianReal_map_const_mul", "ProbabilityTheory.gaussianReal_map_mul_const", "ProbabilityTheory.gaussianReal_mul_const", "ProbabilityTheory.gaussianReal_of_var_ne_zero", "ProbabilityTheory.gaussianReal_zero_var", "ProbabilityTheory.geometricPMFRealSum", "ProbabilityTheory.geometricPMFReal_pos", "ProbabilityTheory.hasDerivAt_neg_exp_mul_exp", "ProbabilityTheory.hasFiniteIntegral_compProd_iff", "ProbabilityTheory.hasFiniteIntegral_compProd_iff'", "ProbabilityTheory.hasFiniteIntegral_prod_mk_left", "ProbabilityTheory.iCondIndep.condIndep", "ProbabilityTheory.iCondIndep.iCondIndepSets", "ProbabilityTheory.iCondIndepFun.condIndepFun", "ProbabilityTheory.iCondIndepFun.condIndepFun_finset", "ProbabilityTheory.iCondIndepFun.condIndepFun_finset_prod_of_not_mem", "ProbabilityTheory.iCondIndepFun.condIndepFun_prod_mk_prod_mk", "ProbabilityTheory.iCondIndepFun.condIndepFun_prod_range_succ", "ProbabilityTheory.iCondIndepFun.indepFun_div_div", "ProbabilityTheory.iCondIndepFun.indepFun_mul_left", "ProbabilityTheory.iCondIndepFun.indepFun_mul_right", "ProbabilityTheory.iCondIndepFun.of_subsingleton", "ProbabilityTheory.iCondIndepFun_iff", "ProbabilityTheory.iCondIndepFun_iff_condexp_inter_preimage_eq_mul", "ProbabilityTheory.iCondIndepFun_iff_iCondIndep", "ProbabilityTheory.iCondIndepSet.condIndep_generateFrom_le", "ProbabilityTheory.iCondIndepSet.condIndep_generateFrom_le_nat", "ProbabilityTheory.iCondIndepSet.condIndep_generateFrom_lt", "ProbabilityTheory.iCondIndepSet.iCondIndepFun_indicator", "ProbabilityTheory.iCondIndepSet_iff_iCondIndep", "ProbabilityTheory.iCondIndepSet_iff_iCondIndepSets_singleton", "ProbabilityTheory.iCondIndepSets.condIndepSets", "ProbabilityTheory.iCondIndepSets.iCondIndep", "ProbabilityTheory.iCondIndepSets_iff", "ProbabilityTheory.iCondIndepSets_singleton_iff", "ProbabilityTheory.iCondIndep_iff", "ProbabilityTheory.iCondIndep_iff_iCondIndepSets", "ProbabilityTheory.iIndep.iIndepSets", "ProbabilityTheory.iIndep.meas_biInter", "ProbabilityTheory.iIndepFun.cgf_sum", "ProbabilityTheory.iIndepFun.indepFun", "ProbabilityTheory.iIndepFun.indepFun_div_div", "ProbabilityTheory.iIndepFun.indepFun_div_left", "ProbabilityTheory.iIndepFun.indepFun_mul_mul", "ProbabilityTheory.iIndepFun.indepFun_prod_mk_prod_mk", "ProbabilityTheory.iIndepFun.indepFun_prod_range_succ", "ProbabilityTheory.iIndepFun.indep_comap_natural_of_lt", "ProbabilityTheory.iIndepFun.integrable_exp_mul_sum", "ProbabilityTheory.iIndepFun.isProbabilityMeasure", "ProbabilityTheory.iIndepFun.meas_biInter", "ProbabilityTheory.iIndepFun.meas_iInter", "ProbabilityTheory.iIndepFun.mgf_sum", "ProbabilityTheory.iIndepFun_iff", "ProbabilityTheory.iIndepFun_iff_iIndep", "ProbabilityTheory.iIndepFun_iff_measure_inter_preimage_eq_mul", "ProbabilityTheory.iIndepSet.condexp_indicator_filtrationOfSet_ae_eq", "ProbabilityTheory.iIndepSet.iIndepFun_indicator", "ProbabilityTheory.iIndepSet.indep_generateFrom_le", "ProbabilityTheory.iIndepSet.indep_generateFrom_lt", "ProbabilityTheory.iIndepSet.indep_generateFrom_of_disjoint", "ProbabilityTheory.iIndepSet_iff_iIndep", "ProbabilityTheory.iIndepSet_iff_iIndepSets_singleton", "ProbabilityTheory.iIndepSet_iff_meas_biInter", "ProbabilityTheory.iIndepSets.iIndep", "ProbabilityTheory.iIndepSets.iIndepSet_of_mem", "ProbabilityTheory.iIndepSets.indepSets", "ProbabilityTheory.iIndepSets.meas_iInter", "ProbabilityTheory.iIndepSets.piiUnionInter_of_not_mem", "ProbabilityTheory.iIndepSets_iff", "ProbabilityTheory.iIndepSets_singleton_iff", "ProbabilityTheory.iIndep_comap_mem_iff", "ProbabilityTheory.iIndep_iff", "ProbabilityTheory.iIndep_iff_iIndepSets", "ProbabilityTheory.iInf_rat_gt_defaultRatCDF", "ProbabilityTheory.iSup_countableFiltration", "ProbabilityTheory.iSup_partitionFiltration_eq_generateFrom_range", "ProbabilityTheory.indepFun_iff_indepSet_preimage", "ProbabilityTheory.indepFun_iff_integral_comp_mul", "ProbabilityTheory.indepFun_iff_map_prod_eq_prod_map_map", "ProbabilityTheory.indepFun_iff_measure_inter_preimage_eq_mul", "ProbabilityTheory.indepFun_of_identDistrib_pair", "ProbabilityTheory.indepSet_empty_left", "ProbabilityTheory.indepSet_empty_right", "ProbabilityTheory.indepSet_iff_indepSets_singleton", "ProbabilityTheory.indepSets_of_indepSets_of_le_left", "ProbabilityTheory.indepSets_of_indepSets_of_le_right", "ProbabilityTheory.indepSets_singleton_iff", "ProbabilityTheory.indep_biSup_compl", "ProbabilityTheory.indep_iSup_directed_limsup", "ProbabilityTheory.indep_iSup_limsup", "ProbabilityTheory.indep_iSup_of_antitone", "ProbabilityTheory.indep_iSup_of_directed_le", "ProbabilityTheory.indep_iSup_of_disjoint", "ProbabilityTheory.indep_iSup_of_monotone", "ProbabilityTheory.indep_limsup_atBot_self", "ProbabilityTheory.indep_limsup_atTop_self", "ProbabilityTheory.indep_limsup_self", "ProbabilityTheory.integrable_compProd_iff", "ProbabilityTheory.integrable_condCDF", "ProbabilityTheory.integrable_gaussianPDFReal", "ProbabilityTheory.integrable_kernel_prod_mk_left", "ProbabilityTheory.integrable_preCDF", "ProbabilityTheory.integrable_stieltjesOfMeasurableRat", "ProbabilityTheory.integrable_toReal_condDistrib", "ProbabilityTheory.integrable_toReal_condexpKernel", "ProbabilityTheory.integral_compProd", "ProbabilityTheory.integral_condKernel", "ProbabilityTheory.integral_gaussianPDFReal_eq_one", "ProbabilityTheory.integral_preCDF_fst", "ProbabilityTheory.integral_stieltjesOfMeasurableRat", "ProbabilityTheory.integral_truncation_eq_intervalIntegral", "ProbabilityTheory.integral_truncation_eq_intervalIntegral_of_nonneg", "ProbabilityTheory.integral_truncation_le_integral_of_nonneg", "ProbabilityTheory.inter_pos_of_cond_ne_zero", "ProbabilityTheory.isCondKernelCDF_condCDF", "ProbabilityTheory.isCondKernelCDF_stieltjesOfMeasurableRat", "ProbabilityTheory.isFiniteKernel_of_le", "ProbabilityTheory.isMeasurableRatCDF_toRatCDF", "ProbabilityTheory.isProbabilityMeasureExponential", "ProbabilityTheory.isProbabilityMeasureGamma", "ProbabilityTheory.isProbabilityMeasureGeometric", "ProbabilityTheory.isRatCondKernelCDFAux_preCDF", "ProbabilityTheory.isRatCondKernelCDF_preCDF", "ProbabilityTheory.isRatStieltjesPoint_defaultRatCDF", "ProbabilityTheory.isRatStieltjesPoint_unit_prod_iff", "ProbabilityTheory.kernel.Indep.indepSet_of_measurableSet", "ProbabilityTheory.kernel.Indep.indepSets", "ProbabilityTheory.kernel.IndepFun.ae_eq", "ProbabilityTheory.kernel.IndepFun.comp", "ProbabilityTheory.kernel.IndepFun.meas_inter", "ProbabilityTheory.kernel.IndepFun.neg_right", "ProbabilityTheory.kernel.IndepFun.symm", "ProbabilityTheory.kernel.IndepSets.bInter", "ProbabilityTheory.kernel.IndepSets.bUnion", "ProbabilityTheory.kernel.IndepSets.iUnion", "ProbabilityTheory.kernel.IndepSets.indep", "ProbabilityTheory.kernel.IndepSets.indep'", "ProbabilityTheory.kernel.IndepSets.indep_aux", "ProbabilityTheory.kernel.IndepSets.inter", "ProbabilityTheory.kernel.IndepSets.symm", "ProbabilityTheory.kernel.IndepSets.union", "ProbabilityTheory.kernel.Invariant.comp", "ProbabilityTheory.kernel.Invariant.comp_const", "ProbabilityTheory.kernel.IsFiniteKernel.integrable", "ProbabilityTheory.kernel.IsMarkovKernel.comapRight", "ProbabilityTheory.kernel.IsMarkovKernel.integrable", "ProbabilityTheory.kernel.IsSFiniteKernel.finset_sum", "ProbabilityTheory.kernel.IsSFiniteKernel.withDensity", "ProbabilityTheory.kernel.adapted_densityProcess", "ProbabilityTheory.kernel.ae_ae_of_ae_compProd", "ProbabilityTheory.kernel.ae_compProd_iff", "ProbabilityTheory.kernel.ae_compProd_of_ae_ae", "ProbabilityTheory.kernel.ae_kernel_lt_top", "ProbabilityTheory.kernel.ae_null_of_compProd_null", "ProbabilityTheory.kernel.apply_eq_measure_condKernel_of_compProd_eq", "ProbabilityTheory.kernel.bind_add", "ProbabilityTheory.kernel.bind_smul", "ProbabilityTheory.kernel.borelMarkovFromReal_apply", "ProbabilityTheory.kernel.borelMarkovFromReal_apply'", "ProbabilityTheory.kernel.coeFn_add", "ProbabilityTheory.kernel.comapRight_apply", "ProbabilityTheory.kernel.comapRight_apply'", "ProbabilityTheory.kernel.comapRight_compProd_id_prod", "ProbabilityTheory.kernel.comap_apply", "ProbabilityTheory.kernel.comap_apply'", "ProbabilityTheory.kernel.comap_id", "ProbabilityTheory.kernel.comap_id'", "ProbabilityTheory.kernel.comap_map_comm", "ProbabilityTheory.kernel.comap_zero", "ProbabilityTheory.kernel.compProdFun_empty", "ProbabilityTheory.kernel.compProdFun_eq_tsum", "ProbabilityTheory.kernel.compProdFun_iUnion", "ProbabilityTheory.kernel.compProdFun_tsum_left", "ProbabilityTheory.kernel.compProdFun_tsum_right", "ProbabilityTheory.kernel.compProd_add_left", "ProbabilityTheory.kernel.compProd_add_right", "ProbabilityTheory.kernel.compProd_apply", "ProbabilityTheory.kernel.compProd_apply_eq_compProdFun", "ProbabilityTheory.kernel.compProd_apply_univ_le", "ProbabilityTheory.kernel.compProd_eq_sum_compProd", "ProbabilityTheory.kernel.compProd_eq_sum_compProd_left", "ProbabilityTheory.kernel.compProd_eq_sum_compProd_right", "ProbabilityTheory.kernel.compProd_fst_borelMarkovFromReal", "ProbabilityTheory.kernel.compProd_fst_borelMarkovFromReal_eq_comapRight_compProd", "ProbabilityTheory.kernel.compProd_fst_condKernel", "ProbabilityTheory.kernel.compProd_fst_condKernelBorel", "ProbabilityTheory.kernel.compProd_fst_condKernelCountable", "ProbabilityTheory.kernel.compProd_fst_condKernelReal", "ProbabilityTheory.kernel.compProd_fst_condKernelUnitBorel", "ProbabilityTheory.kernel.compProd_null", "ProbabilityTheory.kernel.compProd_of_not_isSFiniteKernel_left", "ProbabilityTheory.kernel.compProd_of_not_isSFiniteKernel_right", "ProbabilityTheory.kernel.compProd_restrict", "ProbabilityTheory.kernel.compProd_restrict_left", "ProbabilityTheory.kernel.compProd_restrict_right", "ProbabilityTheory.kernel.compProd_zero_left", "ProbabilityTheory.kernel.compProd_zero_right", "ProbabilityTheory.kernel.comp_apply", "ProbabilityTheory.kernel.comp_apply'", "ProbabilityTheory.kernel.comp_assoc", "ProbabilityTheory.kernel.comp_const_apply_eq_bind", "ProbabilityTheory.kernel.comp_deterministic_eq_comap", "ProbabilityTheory.kernel.comp_eq_snd_compProd", "ProbabilityTheory.kernel.condKernelCountable_apply", "ProbabilityTheory.kernel.condKernel_apply_eq_condKernel", "ProbabilityTheory.kernel.condexp_densityProcess", "ProbabilityTheory.kernel.const_add", "ProbabilityTheory.kernel.const_apply", "ProbabilityTheory.kernel.const_bind_eq_comp_const", "ProbabilityTheory.kernel.const_zero", "ProbabilityTheory.kernel.continuous_integral_integral", "ProbabilityTheory.kernel.densityProcess_antitone_kernel_right", "ProbabilityTheory.kernel.densityProcess_empty", "ProbabilityTheory.kernel.densityProcess_fst_univ", "ProbabilityTheory.kernel.densityProcess_fst_univ_ae", "ProbabilityTheory.kernel.densityProcess_le_one", "ProbabilityTheory.kernel.densityProcess_mono_kernel_left", "ProbabilityTheory.kernel.densityProcess_mono_set", "ProbabilityTheory.kernel.density_ae_eq_limitProcess", "ProbabilityTheory.kernel.density_fst_univ", "ProbabilityTheory.kernel.density_le_one", "ProbabilityTheory.kernel.density_mono_set", "ProbabilityTheory.kernel.density_nonneg", "ProbabilityTheory.kernel.deterministic_apply", "ProbabilityTheory.kernel.deterministic_apply'", "ProbabilityTheory.kernel.deterministic_comp_eq_map", "ProbabilityTheory.kernel.ext_fun", "ProbabilityTheory.kernel.ext_fun_iff", "ProbabilityTheory.kernel.finset_sum_apply", "ProbabilityTheory.kernel.finset_sum_apply'", "ProbabilityTheory.kernel.fst_apply", "ProbabilityTheory.kernel.fst_apply'", "ProbabilityTheory.kernel.fst_compProd", "ProbabilityTheory.kernel.fst_map_id_prod", "ProbabilityTheory.kernel.fst_map_prod", "ProbabilityTheory.kernel.fst_prod", "ProbabilityTheory.kernel.fst_prodMkLeft", "ProbabilityTheory.kernel.fst_swapRight", "ProbabilityTheory.kernel.fst_zero", "ProbabilityTheory.kernel.iIndep.iIndepSets", "ProbabilityTheory.kernel.iIndep.meas_iInter", "ProbabilityTheory.kernel.iIndepFun.iIndep", "ProbabilityTheory.kernel.iIndepFun.indepFun_div_left", "ProbabilityTheory.kernel.iIndepFun.indepFun_div_right", "ProbabilityTheory.kernel.iIndepFun.indepFun_finset", "ProbabilityTheory.kernel.iIndepFun.indepFun_finset_prod_of_not_mem", "ProbabilityTheory.kernel.iIndepFun.indepFun_mul_left", "ProbabilityTheory.kernel.iIndepFun.indepFun_mul_right", "ProbabilityTheory.kernel.iIndepFun.indepFun_prod_mk", "ProbabilityTheory.kernel.iIndepFun.indepFun_prod_mk_prod_mk", "ProbabilityTheory.kernel.iIndepFun.indepFun_prod_range_succ", "ProbabilityTheory.kernel.iIndepFun.meas_biInter", "ProbabilityTheory.kernel.iIndepFun_iff_measure_inter_preimage_eq_mul", "ProbabilityTheory.kernel.iIndepSet.iIndepFun_indicator", "ProbabilityTheory.kernel.iIndepSet.indep_generateFrom_le", "ProbabilityTheory.kernel.iIndepSet.indep_generateFrom_lt", "ProbabilityTheory.kernel.iIndepSet.indep_generateFrom_of_disjoint", "ProbabilityTheory.kernel.iIndepSet_iff_meas_biInter", "ProbabilityTheory.kernel.iIndepSets.iIndep", "ProbabilityTheory.kernel.iIndepSets.indepSets", "ProbabilityTheory.kernel.iIndepSets.meas_iInter", "ProbabilityTheory.kernel.iIndepSets.piiUnionInter_of_not_mem", "ProbabilityTheory.kernel.iIndepSets_singleton_iff", "ProbabilityTheory.kernel.iIndep_comap_mem_iff", "ProbabilityTheory.kernel.indepFun_iff_indepSet_preimage", "ProbabilityTheory.kernel.indepFun_iff_measure_inter_preimage_eq_mul", "ProbabilityTheory.kernel.indepSet_empty_right", "ProbabilityTheory.kernel.indepSet_iff_indepSets_singleton", "ProbabilityTheory.kernel.indepSet_iff_measure_inter_eq_mul", "ProbabilityTheory.kernel.indepSets_of_indepSets_of_le_right", "ProbabilityTheory.kernel.indepSets_piiUnionInter_of_disjoint", "ProbabilityTheory.kernel.indepSets_singleton_iff", "ProbabilityTheory.kernel.indep_biSup_compl", "ProbabilityTheory.kernel.indep_biSup_limsup", "ProbabilityTheory.kernel.indep_bot_right", "ProbabilityTheory.kernel.indep_iSup_directed_limsup", "ProbabilityTheory.kernel.indep_iSup_limsup", "ProbabilityTheory.kernel.indep_iSup_of_antitone", "ProbabilityTheory.kernel.indep_iSup_of_directed_le", "ProbabilityTheory.kernel.indep_iSup_of_disjoint", "ProbabilityTheory.kernel.indep_iSup_of_monotone", "ProbabilityTheory.kernel.indep_limsup_atBot_self", "ProbabilityTheory.kernel.indep_limsup_atTop_self", "ProbabilityTheory.kernel.indep_limsup_self", "ProbabilityTheory.kernel.indep_of_indep_of_le_left", "ProbabilityTheory.kernel.indep_of_indep_of_le_right", "ProbabilityTheory.kernel.integrable_density", "ProbabilityTheory.kernel.integrable_densityProcess", "ProbabilityTheory.kernel.integral_const", "ProbabilityTheory.kernel.integral_density", "ProbabilityTheory.kernel.integral_densityProcess", "ProbabilityTheory.kernel.integral_deterministic", "ProbabilityTheory.kernel.integral_deterministic'", "ProbabilityTheory.kernel.integral_fn_integral_add", "ProbabilityTheory.kernel.integral_fn_integral_sub", "ProbabilityTheory.kernel.integral_integral_add", "ProbabilityTheory.kernel.integral_integral_sub'", "ProbabilityTheory.kernel.integral_piecewise", "ProbabilityTheory.kernel.integral_withDensity", "ProbabilityTheory.kernel.isCondKernelCDF_condKernelCDF", "ProbabilityTheory.kernel.isFiniteKernel_withDensity_of_bounded", "ProbabilityTheory.kernel.isRatCondKernelCDFAux_density_Iic", "ProbabilityTheory.kernel.isSFiniteKernel_sum", "ProbabilityTheory.kernel.isSFiniteKernel_sum_of_denumerable", "ProbabilityTheory.kernel.isSFiniteKernel_withDensity_of_isFiniteKernel", "ProbabilityTheory.kernel.kernel_sum_seq", "ProbabilityTheory.kernel.le_compProd_apply", "ProbabilityTheory.kernel.lintegral_comp", "ProbabilityTheory.kernel.lintegral_compProd", "ProbabilityTheory.kernel.lintegral_compProd'", "ProbabilityTheory.kernel.lintegral_compProd\u2080", "ProbabilityTheory.kernel.lintegral_const", "ProbabilityTheory.kernel.lintegral_density", "ProbabilityTheory.kernel.lintegral_deterministic", "ProbabilityTheory.kernel.lintegral_deterministic'", "ProbabilityTheory.kernel.lintegral_fn_integral_sub", "ProbabilityTheory.kernel.lintegral_fst", "ProbabilityTheory.kernel.lintegral_map", "ProbabilityTheory.kernel.lintegral_prod", "ProbabilityTheory.kernel.lintegral_prodMkRight", "ProbabilityTheory.kernel.lintegral_restrict", "ProbabilityTheory.kernel.lintegral_snd", "ProbabilityTheory.kernel.lintegral_swapLeft", "ProbabilityTheory.kernel.lintegral_swapRight", "ProbabilityTheory.kernel.lintegral_withDensity", "ProbabilityTheory.kernel.map_apply", "ProbabilityTheory.kernel.map_apply'", "ProbabilityTheory.kernel.map_const", "ProbabilityTheory.kernel.map_id", "ProbabilityTheory.kernel.map_id'", "ProbabilityTheory.kernel.map_prodMkLeft", "ProbabilityTheory.kernel.map_zero", "ProbabilityTheory.kernel.martingale_densityProcess", "ProbabilityTheory.kernel.meas_countablePartitionSet_le_of_fst_le", "ProbabilityTheory.kernel.measurable", "ProbabilityTheory.kernel.measurableSet_absolutelyContinuous", "ProbabilityTheory.kernel.measurableSet_mutuallySingular", "ProbabilityTheory.kernel.measurableSet_mutuallySingularSet", "ProbabilityTheory.kernel.measurableSet_mutuallySingularSetSlice", "ProbabilityTheory.kernel.measurable_coe", "ProbabilityTheory.kernel.measurable_compProdFun", "ProbabilityTheory.kernel.measurable_compProdFun_of_finite", "ProbabilityTheory.kernel.measurable_countableFiltration_densityProcess", "ProbabilityTheory.kernel.measurable_density", "ProbabilityTheory.kernel.measurable_densityProcess", "ProbabilityTheory.kernel.measurable_densityProcess_aux", "ProbabilityTheory.kernel.measurable_densityProcess_countableFiltration_aux", "ProbabilityTheory.kernel.measurable_densityProcess_right", "ProbabilityTheory.kernel.measurable_density_left", "ProbabilityTheory.kernel.measurable_density_right", "ProbabilityTheory.kernel.measurable_kernel_prod_mk_left", "ProbabilityTheory.kernel.measurable_kernel_prod_mk_left'", "ProbabilityTheory.kernel.measurable_kernel_prod_mk_left_of_finite", "ProbabilityTheory.kernel.measurable_lintegral_indicator_const", "ProbabilityTheory.kernel.measurable_rnDeriv", "ProbabilityTheory.kernel.measurable_rnDerivAux", "ProbabilityTheory.kernel.measurable_rnDerivAux_right", "ProbabilityTheory.kernel.measurable_rnDeriv_right", "ProbabilityTheory.kernel.measurable_singularPart_fun", "ProbabilityTheory.kernel.measurable_singularPart_fun_right", "ProbabilityTheory.kernel.measure_eq_zero_or_one_of_indepSet_self", "ProbabilityTheory.kernel.measure_eq_zero_or_one_or_top_of_indepSet_self", "ProbabilityTheory.kernel.measure_le_bound", "ProbabilityTheory.kernel.measure_mutuallySingularSetSlice", "ProbabilityTheory.kernel.measure_sum_seq", "ProbabilityTheory.kernel.measure_zero_or_one_of_measurableSet_limsup", "ProbabilityTheory.kernel.measure_zero_or_one_of_measurableSet_limsup_atBot", "ProbabilityTheory.kernel.measure_zero_or_one_of_measurableSet_limsup_atTop", "ProbabilityTheory.kernel.memL1_limitProcess_densityProcess", "ProbabilityTheory.kernel.mutuallySingular_singularPart", "ProbabilityTheory.kernel.not_mem_mutuallySingularSetSlice", "ProbabilityTheory.kernel.prodMkLeft_add", "ProbabilityTheory.kernel.prodMkLeft_apply", "ProbabilityTheory.kernel.prodMkLeft_apply'", "ProbabilityTheory.kernel.prodMkRight_apply", "ProbabilityTheory.kernel.prodMkRight_apply'", "ProbabilityTheory.kernel.prodMkRight_zero", "ProbabilityTheory.kernel.prod_apply", "ProbabilityTheory.kernel.prod_apply'", "ProbabilityTheory.kernel.prod_const", "ProbabilityTheory.kernel.restrict_apply", "ProbabilityTheory.kernel.restrict_apply'", "ProbabilityTheory.kernel.restrict_univ", "ProbabilityTheory.kernel.rnDerivAux_le_one", "ProbabilityTheory.kernel.rnDerivAux_nonneg", "ProbabilityTheory.kernel.rnDeriv_add_singularPart", "ProbabilityTheory.kernel.rnDeriv_def'", "ProbabilityTheory.kernel.rnDeriv_eq_top_iff", "ProbabilityTheory.kernel.setIntegral_const", "ProbabilityTheory.kernel.setIntegral_density", "ProbabilityTheory.kernel.setIntegral_densityProcess", "ProbabilityTheory.kernel.setIntegral_densityProcess_of_le", "ProbabilityTheory.kernel.setIntegral_densityProcess_of_mem", "ProbabilityTheory.kernel.setIntegral_density_of_measurableSet", "ProbabilityTheory.kernel.setIntegral_deterministic'", "ProbabilityTheory.kernel.setLIntegral_compProd", "ProbabilityTheory.kernel.setLIntegral_compProd_univ_left", "ProbabilityTheory.kernel.setLIntegral_compProd_univ_right", "ProbabilityTheory.kernel.setLIntegral_density", "ProbabilityTheory.kernel.setLIntegral_deterministic'", "ProbabilityTheory.kernel.setLIntegral_piecewise", "ProbabilityTheory.kernel.setLIntegral_restrict", "ProbabilityTheory.kernel.setLIntegral_rnDerivAux", "ProbabilityTheory.kernel.singularPart_compl_mutuallySingularSetSlice", "ProbabilityTheory.kernel.singularPart_eq_zero_iff_absolutelyContinuous", "ProbabilityTheory.kernel.singularPart_eq_zero_iff_apply_eq_zero", "ProbabilityTheory.kernel.singularPart_eq_zero_iff_measure_eq_zero", "ProbabilityTheory.kernel.singularPart_of_subset_compl_mutuallySingularSetSlice", "ProbabilityTheory.kernel.singularPart_of_subset_mutuallySingularSetSlice", "ProbabilityTheory.kernel.snd_apply", "ProbabilityTheory.kernel.snd_apply'", "ProbabilityTheory.kernel.snd_map_prod", "ProbabilityTheory.kernel.snd_map_prod_id", "ProbabilityTheory.kernel.snd_prod", "ProbabilityTheory.kernel.snd_prodMkRight", "ProbabilityTheory.kernel.snd_swapRight", "ProbabilityTheory.kernel.snorm_densityProcess_le", "ProbabilityTheory.kernel.snorm_density_le", "ProbabilityTheory.kernel.sum_add", "ProbabilityTheory.kernel.sum_apply", "ProbabilityTheory.kernel.sum_apply'", "ProbabilityTheory.kernel.sum_comap_seq", "ProbabilityTheory.kernel.sum_comm", "ProbabilityTheory.kernel.sum_const", "ProbabilityTheory.kernel.sum_fintype", "ProbabilityTheory.kernel.sum_map_seq", "ProbabilityTheory.kernel.sum_zero", "ProbabilityTheory.kernel.swapLeft_apply", "ProbabilityTheory.kernel.swapLeft_prodMkRight", "ProbabilityTheory.kernel.swapRight_apply", "ProbabilityTheory.kernel.swapRight_apply'", "ProbabilityTheory.kernel.tendsto_densityProcess_atTop_empty_of_antitone", "ProbabilityTheory.kernel.tendsto_densityProcess_atTop_of_antitone", "ProbabilityTheory.kernel.tendsto_densityProcess_fst_atTop_univ_of_monotone", "ProbabilityTheory.kernel.tendsto_densityProcess_limitProcess", "ProbabilityTheory.kernel.tendsto_density_atTop_ae_of_antitone", "ProbabilityTheory.kernel.tendsto_density_fst_atTop_ae_of_monotone", "ProbabilityTheory.kernel.tendsto_integral_density_of_antitone", "ProbabilityTheory.kernel.tendsto_integral_density_of_monotone", "ProbabilityTheory.kernel.tendsto_m_density", "ProbabilityTheory.kernel.tendsto_setIntegral_densityProcess", "ProbabilityTheory.kernel.tendsto_snorm_one_densityProcess_limitProcess", "ProbabilityTheory.kernel.tendsto_snorm_one_restrict_densityProcess_limitProcess", "ProbabilityTheory.kernel.withDensity_absolutelyContinuous", "ProbabilityTheory.kernel.withDensity_add_left", "ProbabilityTheory.kernel.withDensity_add_right", "ProbabilityTheory.kernel.withDensity_apply", "ProbabilityTheory.kernel.withDensity_apply'", "ProbabilityTheory.kernel.withDensity_congr_ae", "ProbabilityTheory.kernel.withDensity_kernel_sum", "ProbabilityTheory.kernel.withDensity_mul", "ProbabilityTheory.kernel.withDensity_of_not_measurable", "ProbabilityTheory.kernel.withDensity_one", "ProbabilityTheory.kernel.withDensity_one'", "ProbabilityTheory.kernel.withDensity_one_sub_rnDerivAux", "ProbabilityTheory.kernel.withDensity_rnDerivAux", "ProbabilityTheory.kernel.withDensity_rnDeriv_eq_zero_iff_apply_eq_zero", "ProbabilityTheory.kernel.withDensity_rnDeriv_eq_zero_iff_measure_eq_zero", "ProbabilityTheory.kernel.withDensity_rnDeriv_eq_zero_iff_mutuallySingular", "ProbabilityTheory.kernel.withDensity_rnDeriv_mutuallySingularSetSlice", "ProbabilityTheory.kernel.withDensity_rnDeriv_of_subset_compl_mutuallySingularSetSlice", "ProbabilityTheory.kernel.withDensity_rnDeriv_of_subset_mutuallySingularSetSlice", "ProbabilityTheory.kernel.withDensity_sub_add_cancel", "ProbabilityTheory.kernel.withDensity_tsum", "ProbabilityTheory.kernel.withDensity_zero", "ProbabilityTheory.kernel.withDensity_zero'", "ProbabilityTheory.lintegral_condKernel", "ProbabilityTheory.lintegral_condKernel_mem", "ProbabilityTheory.lintegral_exponentialPDF_eq_antiDeriv", "ProbabilityTheory.lintegral_exponentialPDF_eq_one", "ProbabilityTheory.lintegral_exponentialPDF_of_nonpos", "ProbabilityTheory.lintegral_gammaPDF_eq_one", "ProbabilityTheory.lintegral_gammaPDF_of_nonpos", "ProbabilityTheory.lintegral_gaussianPDFReal_eq_one", "ProbabilityTheory.lintegral_gaussianPDF_eq_one", "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun", "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun'", "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun''", "ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_independent_measurableSpace", "ProbabilityTheory.lintegral_mul_indicator_eq_lintegral_mul_lintegral_indicator", "ProbabilityTheory.lintegral_preCDF_fst", "ProbabilityTheory.lintegral_stieltjesOfMeasurableRat", "ProbabilityTheory.lintegral_toKernel_mem", "ProbabilityTheory.lintegral_toKernel_univ", "ProbabilityTheory.meas_ge_le_evariance_div_sq", "ProbabilityTheory.meas_ge_le_variance_div_sq", "ProbabilityTheory.measurableSet_countableFiltration_countablePartitionSet", "ProbabilityTheory.measurableSet_countableFiltration_of_mem", "ProbabilityTheory.measurableSet_isRatStieltjesPoint", "ProbabilityTheory.measurableSet_kernel_integrable", "ProbabilityTheory.measurableSet_partitionFiltration_memPartitionSet", "ProbabilityTheory.measurableSet_partitionFiltration_of_mem", "ProbabilityTheory.measurable_condCDF", "ProbabilityTheory.measurable_condDistrib", "ProbabilityTheory.measurable_condexpKernel", "ProbabilityTheory.measurable_countablePartitionSet", "ProbabilityTheory.measurable_countablePartitionSet_subtype", "ProbabilityTheory.measurable_exponentialPDFReal", "ProbabilityTheory.measurable_gammaPDFReal", "ProbabilityTheory.measurable_gaussianPDF", "ProbabilityTheory.measurable_geometricPMFReal", "ProbabilityTheory.measurable_measure_condCDF", "ProbabilityTheory.measurable_memPartitionSet", "ProbabilityTheory.measurable_memPartitionSet_subtype", "ProbabilityTheory.measurable_partitionFiltration_memPartitionSet", "ProbabilityTheory.measurable_poissonPMFReal", "ProbabilityTheory.measurable_preCDF", "ProbabilityTheory.measurable_stieltjesOfMeasurableRat", "ProbabilityTheory.measure_cdf", "ProbabilityTheory.measure_condCDF_Iic", "ProbabilityTheory.measure_condCDF_univ", "ProbabilityTheory.measure_eq_zero_or_one_of_indepSet_self", "ProbabilityTheory.measure_eq_zero_or_one_or_top_of_indepSet_self", "ProbabilityTheory.measure_ge_le_exp_cgf", "ProbabilityTheory.measure_ge_le_exp_mul_mgf", "ProbabilityTheory.measure_le_le_exp_cgf", "ProbabilityTheory.measure_le_le_exp_mul_mgf", "ProbabilityTheory.measure_limsup_eq_one", "ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup", "ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup_atBot", "ProbabilityTheory.measure_zero_or_one_of_measurableSet_limsup_atTop", "ProbabilityTheory.mgf_const", "ProbabilityTheory.mgf_const'", "ProbabilityTheory.mgf_neg", "ProbabilityTheory.mgf_nonneg", "ProbabilityTheory.mgf_pos", "ProbabilityTheory.mgf_pos'", "ProbabilityTheory.mgf_undef", "ProbabilityTheory.mgf_zero", "ProbabilityTheory.mgf_zero'", "ProbabilityTheory.mgf_zero_fun", "ProbabilityTheory.mgf_zero_measure", "ProbabilityTheory.moment_truncation_eq_intervalIntegral", "ProbabilityTheory.moment_truncation_eq_intervalIntegral_of_nonneg", "ProbabilityTheory.moment_zero", "ProbabilityTheory.monotone_cdf", "ProbabilityTheory.monotone_defaultRatCDF", "ProbabilityTheory.monotone_preCDF", "ProbabilityTheory.ofReal_cdf", "ProbabilityTheory.ofReal_condCDF_ae_eq", "ProbabilityTheory.poissonPMFRealSum", "ProbabilityTheory.poissonPMFReal_nonneg", "ProbabilityTheory.poissonPMFReal_pos", "ProbabilityTheory.preCDF_le_one", "ProbabilityTheory.pred_true_of_condCount_eq_one", "ProbabilityTheory.rnDeriv_gaussianReal", "ProbabilityTheory.setIntegral_compProd", "ProbabilityTheory.setIntegral_compProd_univ_left", "ProbabilityTheory.setIntegral_compProd_univ_right", "ProbabilityTheory.setIntegral_condCDF", "ProbabilityTheory.setIntegral_condKernel", "ProbabilityTheory.setIntegral_condKernel_univ_left", "ProbabilityTheory.setIntegral_condKernel_univ_right", "ProbabilityTheory.setIntegral_preCDF_fst", "ProbabilityTheory.setIntegral_stieltjesOfMeasurableRat", "ProbabilityTheory.setIntegral_stieltjesOfMeasurableRat_rat", "ProbabilityTheory.setLIntegral_condCDF", "ProbabilityTheory.setLIntegral_condDistrib_of_measurableSet", "ProbabilityTheory.setLIntegral_condKernel", "ProbabilityTheory.setLIntegral_condKernel_eq_measure_prod", "ProbabilityTheory.setLIntegral_condKernel_univ_left", "ProbabilityTheory.setLIntegral_condKernel_univ_right", "ProbabilityTheory.setLIntegral_preCDF_fst", "ProbabilityTheory.setLIntegral_preimage_condDistrib", "ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRat", "ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRat_rat", "ProbabilityTheory.setLIntegral_toKernel_Iic", "ProbabilityTheory.setLIntegral_toKernel_prod", "ProbabilityTheory.setLIntegral_toKernel_univ", "ProbabilityTheory.stieltjesOfMeasurableRat_ae_eq", "ProbabilityTheory.stieltjesOfMeasurableRat_eq", "ProbabilityTheory.stieltjesOfMeasurableRat_nonneg", "ProbabilityTheory.stieltjesOfMeasurableRat_unit_prod", "ProbabilityTheory.strong_law_Lp", "ProbabilityTheory.strong_law_ae", "ProbabilityTheory.strong_law_ae_of_measurable", "ProbabilityTheory.strong_law_ae_real", "ProbabilityTheory.strong_law_ae_simpleFunc_comp", "ProbabilityTheory.strong_law_aux1", "ProbabilityTheory.strong_law_aux2", "ProbabilityTheory.strong_law_aux3", "ProbabilityTheory.strong_law_aux4", "ProbabilityTheory.strong_law_aux5", "ProbabilityTheory.strong_law_aux6", "ProbabilityTheory.strong_law_aux7", "ProbabilityTheory.stronglyMeasurable_condCDF", "ProbabilityTheory.stronglyMeasurable_condexpKernel", "ProbabilityTheory.stronglyMeasurable_gammaPDFReal", "ProbabilityTheory.stronglyMeasurable_gaussianPDFReal", "ProbabilityTheory.stronglyMeasurable_poissonPMFReal", "ProbabilityTheory.stronglyMeasurable_stieltjesOfMeasurableRat", "ProbabilityTheory.sum_meas_smul_cond_fiber", "ProbabilityTheory.sum_prob_mem_Ioc_le", "ProbabilityTheory.sum_variance_truncation_le", "ProbabilityTheory.tendsto_cdf_atBot", "ProbabilityTheory.tendsto_cdf_atTop", "ProbabilityTheory.tendsto_condCDF_atBot", "ProbabilityTheory.tendsto_condCDF_atTop", "ProbabilityTheory.tendsto_defaultRatCDF_atBot", "ProbabilityTheory.tendsto_defaultRatCDF_atTop", "ProbabilityTheory.tendsto_integral_truncation", "ProbabilityTheory.tendsto_stieltjesOfMeasurableRat_atTop", "ProbabilityTheory.toRatCDF_of_isRatStieltjesPoint", "ProbabilityTheory.toRatCDF_unit_prod", "ProbabilityTheory.truncation_eq_of_nonneg", "ProbabilityTheory.truncation_eq_self", "ProbabilityTheory.truncation_zero", "ProbabilityTheory.tsum_prob_mem_Ioi_lt_top", "ProbabilityTheory.variance_def'", "ProbabilityTheory.variance_le_expectation_sq", "ProbabilityTheory.variance_mul", "ProbabilityTheory.variance_nonneg", "ProbabilityTheory.variance_smul", "ProbabilityTheory.variance_smul'", "ProbabilityTheory.variance_zero", "ProbabilityTheory.withDensity_preCDF", "Prod.GameAdd.fix_eq", "Prod.GameAdd.induction", "Prod.GameAdd.to_sym2", "Prod.Icc_eq", "Prod.Icc_mk_mk", "Prod.Lex.le_iff", "Prod.Lex.monotone_fst", "Prod.Lex.refl_left", "Prod.Lex.refl_right", "Prod.Lex.toLex_mono", "Prod.Lex.toLex_strictMono", "Prod.Lex.trans", "Prod.algebraMap_apply", "Prod.associated_iff", "Prod.card_box_succ", "Prod.card_uIcc", "Prod.codisjoint_iff", "Prod.commute_iff", "Prod.comul_apply", "Prod.comul_comp_fst", "Prod.comul_comp_snd", "Prod.counit_apply", "Prod.counit_comp_inr", "Prod.disjoint_iff", "Prod.dist_eq", "Prod.edist_eq", "Prod.eq_iff_fst_eq_snd_eq", "Prod.exists", "Prod.exists'", "Prod.ext", "Prod.ext_iff", "Prod.forall", "Prod.forall'", "Prod.fst_comp_toSigma", "Prod.fst_eq_or_snd_eq_of_wcovBy", "Prod.fst_exp", "Prod.fst_iSup", "Prod.fst_kstar", "Prod.fst_mul", "Prod.fst_natCast", "Prod.fst_ofNat", "Prod.fst_one", "Prod.fst_prod", "Prod.fst_sInf", "Prod.fst_sSup", "Prod.fst_sup", "Prod.fst_surjective", "Prod.fst_swap", "Prod.fst_toSigma", "Prod.fst_zmod_cast", "Prod.gameAdd_iff", "Prod.gameAdd_le_lex", "Prod.gameAdd_swap_swap", "Prod.iInf_mk", "Prod.iSup_mk", "Prod.id_prod", "Prod.image_mk_openSegment_left", "Prod.image_mk_openSegment_right", "Prod.image_mk_segment_left", "Prod.image_mk_segment_right", "Prod.inv_mk", "Prod.isBot_iff", "Prod.isCompl_iff", "Prod.isMax_iff", "Prod.isMin_iff", "Prod.isTop_iff", "Prod.kstar_def", "Prod.le_def", "Prod.lt_iff", "Prod.lt_of_lt_of_le", "Prod.map_apply", "Prod.map_bijective", "Prod.map_comp_map", "Prod.map_def", "Prod.map_fst", "Prod.map_fst'", "Prod.map_id", "Prod.map_injective", "Prod.map_leftInverse", "Prod.map_mk", "Prod.map_rightInverse", "Prod.map_snd", "Prod.map_surjective", "Prod.mk.eta", "Prod.mk.inj_iff", "Prod.mk.inj_left", "Prod.mk.inj_right", "Prod.mk_covBy_mk_iff", "Prod.mk_covBy_mk_iff_left", "Prod.mk_covBy_mk_iff_right", "Prod.mk_div_mk", "Prod.mk_dvd_mk", "Prod.mk_eq_one", "Prod.mk_inj_left", "Prod.mk_inj_right", "Prod.mk_le_mk_iff_left", "Prod.mk_le_mk_iff_right", "Prod.mk_lt_mk_iff_left", "Prod.mk_lt_mk_iff_right", "Prod.mk_lt_mk_of_le_of_lt", "Prod.mk_mul_mk", "Prod.mk_one_mul_mk_one", "Prod.mk_wcovBy_mk_iff", "Prod.mk_wcovBy_mk_iff_left", "Prod.mk_wcovBy_mk_iff_right", "Prod.mul_def", "Prod.nnorm_def", "Prod.noncompactSpace_iff", "Prod.norm_def", "Prod.one_mk_mul_one_mk", "Prod.openSegment_subset", "Prod.orderOf", "Prod.orderOf_mk", "Prod.pow_def", "Prod.pow_fst", "Prod.pow_mk", "Prod.pow_swap", "Prod.range_snd", "Prod.rprod_le_transGen_gameAdd", "Prod.segment_subset", "Prod.semiconjBy_iff", "Prod.smul_def", "Prod.smul_fst", "Prod.smul_mk", "Prod.smul_mk_zero", "Prod.smul_swap", "Prod.smul_zero_mk", "Prod.snd_exp", "Prod.snd_iInf", "Prod.snd_iSup", "Prod.snd_intCast", "Prod.snd_kstar", "Prod.snd_star", "Prod.snd_sup", "Prod.snd_swap", "Prod.snd_toSigma", "Prod.snd_vadd", "Prod.snd_zmod_cast", "Prod.star_def", "Prod.swap_bijective", "Prod.swap_div", "Prod.swap_iInf", "Prod.swap_iSup", "Prod.swap_injective", "Prod.swap_lt_swap", "Prod.swap_one", "Prod.swap_prod_mk", "Prod.swap_sSup", "Prod.swap_surjective", "Prod.swap_swap", "Prod.swap_swap_eq", "Prod.swap_wcovBy_swap", "Prod.tendsto_iff", "Prod.uIcc_eq", "Prod.uIcc_mk_mk", "Prod.wcovBy_iff", "Prod.\u03c9Sup_zip", "Profinite.IndexFunctor.eq_of_forall_\u03c0_app_eq", "Profinite.IndexFunctor.surjective_\u03c0_app", "Profinite.Nobeling.embedding", "Profinite.NobelingProof.C0_projOrd", "Profinite.NobelingProof.C1_projOrd", "Profinite.NobelingProof.CC_comp_zero", "Profinite.NobelingProof.CC_exact", "Profinite.NobelingProof.GoodProducts.P0", "Profinite.NobelingProof.GoodProducts.Plimit", "Profinite.NobelingProof.GoodProducts.chain'_cons_of_lt", "Profinite.NobelingProof.GoodProducts.equiv_toFun_eq_eval", "Profinite.NobelingProof.GoodProducts.finsupp_sum_mem_span_eval", "Profinite.NobelingProof.GoodProducts.good_lt_maxProducts", "Profinite.NobelingProof.GoodProducts.head!_eq_o_of_maxProducts", "Profinite.NobelingProof.GoodProducts.injective", "Profinite.NobelingProof.GoodProducts.injective_sum_to", "Profinite.NobelingProof.GoodProducts.linearIndependent", "Profinite.NobelingProof.GoodProducts.linearIndependentAux", "Profinite.NobelingProof.GoodProducts.linearIndependentEmpty", "Profinite.NobelingProof.GoodProducts.linearIndependentSingleton", "Profinite.NobelingProof.GoodProducts.linearIndependent_comp_of_eval", "Profinite.NobelingProof.GoodProducts.linearIndependent_iff_range", "Profinite.NobelingProof.GoodProducts.linearIndependent_iff_smaller", "Profinite.NobelingProof.GoodProducts.linearIndependent_iff_sum", "Profinite.NobelingProof.GoodProducts.linearIndependent_iff_union_smaller", "Profinite.NobelingProof.GoodProducts.maxTail_isGood", "Profinite.NobelingProof.GoodProducts.maxToGood_injective", "Profinite.NobelingProof.GoodProducts.max_eq_eval", "Profinite.NobelingProof.GoodProducts.max_eq_eval_unapply", "Profinite.NobelingProof.GoodProducts.max_eq_o_cons_tail", "Profinite.NobelingProof.GoodProducts.range_equiv_factorization", "Profinite.NobelingProof.GoodProducts.range_equiv_smaller_toFun_bijective", "Profinite.NobelingProof.GoodProducts.smaller_factorization", "Profinite.NobelingProof.GoodProducts.smaller_mono", "Profinite.NobelingProof.GoodProducts.span", "Profinite.NobelingProof.GoodProducts.spanFin", "Profinite.NobelingProof.GoodProducts.span_iff_products", "Profinite.NobelingProof.GoodProducts.span_sum", "Profinite.NobelingProof.GoodProducts.square_commutes", "Profinite.NobelingProof.GoodProducts.sum_to_range", "Profinite.NobelingProof.GoodProducts.union", "Profinite.NobelingProof.GoodProducts.union_succ", "Profinite.NobelingProof.Products.evalCons", "Profinite.NobelingProof.Products.evalFacProp", "Profinite.NobelingProof.Products.evalFacProps", "Profinite.NobelingProof.Products.eval_eq", "Profinite.NobelingProof.Products.eval_\u03c0s", "Profinite.NobelingProof.Products.eval_\u03c0s'", "Profinite.NobelingProof.Products.eval_\u03c0s_image", "Profinite.NobelingProof.Products.eval_\u03c0s_image'", "Profinite.NobelingProof.Products.head!_le_of_lt", "Profinite.NobelingProof.Products.head_lt_ord_of_isGood", "Profinite.NobelingProof.Products.isGood_mono", "Profinite.NobelingProof.Products.isGood_nil", "Profinite.NobelingProof.Products.limitOrdinal", "Profinite.NobelingProof.Products.lt_iff_lex_lt", "Profinite.NobelingProof.Products.lt_nil_empty", "Profinite.NobelingProof.Products.max_eq_eval", "Profinite.NobelingProof.Products.max_eq_o_cons_tail", "Profinite.NobelingProof.Products.max_eq_o_cons_tail'", "Profinite.NobelingProof.Products.prop_of_isGood", "Profinite.NobelingProof.Products.prop_of_isGood_of_contained", "Profinite.NobelingProof.Products.rel_head!_of_mem", "Profinite.NobelingProof.Products.span_nil_eq_top", "Profinite.NobelingProof.coe_\u03c0s", "Profinite.NobelingProof.contained_C1", "Profinite.NobelingProof.contained_eq_proj", "Profinite.NobelingProof.contained_proj", "Profinite.NobelingProof.continuous_CC'\u2080", "Profinite.NobelingProof.continuous_proj", "Profinite.NobelingProof.continuous_projRestrict", "Profinite.NobelingProof.continuous_projRestricts", "Profinite.NobelingProof.continuous_swapTrue", "Profinite.NobelingProof.e_mem_of_eq_true", "Profinite.NobelingProof.eval_eq_\u03c0J", "Profinite.NobelingProof.factors_prod_eq_basis", "Profinite.NobelingProof.factors_prod_eq_basis_of_eq", "Profinite.NobelingProof.factors_prod_eq_basis_of_ne", "Profinite.NobelingProof.fin_comap_jointlySurjective", "Profinite.NobelingProof.injective_\u03c0s", "Profinite.NobelingProof.injective_\u03c0s'", "Profinite.NobelingProof.isClosed_C'", "Profinite.NobelingProof.isClosed_C0", "Profinite.NobelingProof.isClosed_C1", "Profinite.NobelingProof.iso_map_bijective", "Profinite.NobelingProof.list_prod_apply", "Profinite.NobelingProof.mem_C'_eq_false", "Profinite.NobelingProof.one_sub_e_mem_of_false", "Profinite.NobelingProof.ord_term", "Profinite.NobelingProof.ord_term_aux", "Profinite.NobelingProof.projRestricts_comp_projRestrict", "Profinite.NobelingProof.projRestricts_eq_comp", "Profinite.NobelingProof.projRestricts_eq_id", "Profinite.NobelingProof.proj_comp_of_subset", "Profinite.NobelingProof.proj_eq_of_subset", "Profinite.NobelingProof.proj_eq_self", "Profinite.NobelingProof.proj_prop_eq_self", "Profinite.NobelingProof.spanFinBasis.span", "Profinite.NobelingProof.succ_exact", "Profinite.NobelingProof.succ_mono", "Profinite.NobelingProof.surjective_projRestricts", "Profinite.NobelingProof.swapTrue_eq_true", "Profinite.NobelingProof.swapTrue_mem_C1", "Profinite.NobelingProof.term_ord_aux", "Profinite.NobelingProof.union_C0C1_eq", "Profinite.coe_comp", "Profinite.coe_id", "Profinite.effectiveEpiFamily_tfae", "Profinite.epi_iff_surjective", "Profinite.exists_isClopen_of_cofiltered", "Profinite.exists_locallyConstant", "Profinite.exists_locallyConstant_fin_two", "Profinite.exists_locallyConstant_finite_aux", "Profinite.exists_locallyConstant_finite_nonempty", "Profinite.finiteCoproduct.hom_ext", "Profinite.finiteCoproduct.\u03b9_desc", "Profinite.finiteCoproduct.\u03b9_injective", "Profinite.finiteCoproduct.\u03b9_jointly_surjective", "Profinite.isClosedMap", "Profinite.isIso_of_bijective", "Profinite.lift_lifts", "Profinite.mono_iff_injective", "Profinite.projective_of_extrDisc", "Profinite.pullback.condition", "Profinite.pullback.hom_ext", "Profinite.pullback.lift_fst", "Profinite.pullback_fst_eq", "Profinite.pullback_snd_eq", "ProjectiveSpectrum.as_ideal_le_as_ideal", "ProjectiveSpectrum.basicOpen_eq_union_of_projection", "ProjectiveSpectrum.basicOpen_eq_zeroLocus_compl", "ProjectiveSpectrum.basicOpen_mul", "ProjectiveSpectrum.basicOpen_mul_le_left", "ProjectiveSpectrum.basicOpen_mul_le_right", "ProjectiveSpectrum.basicOpen_one", "ProjectiveSpectrum.basicOpen_pow", "ProjectiveSpectrum.basicOpen_zero", "ProjectiveSpectrum.coe_vanishingIdeal", "ProjectiveSpectrum.gc_homogeneousIdeal", "ProjectiveSpectrum.gc_ideal", "ProjectiveSpectrum.gc_set", "ProjectiveSpectrum.homogeneousIdeal_le_vanishingIdeal_zeroLocus", "ProjectiveSpectrum.isClosed_iff_zeroLocus", "ProjectiveSpectrum.isClosed_zeroLocus", "ProjectiveSpectrum.isOpen_iff", "ProjectiveSpectrum.isTopologicalBasis_basic_opens", "ProjectiveSpectrum.le_iff_mem_closure", "ProjectiveSpectrum.mem_basicOpen", "ProjectiveSpectrum.mem_coe_basicOpen", "ProjectiveSpectrum.mem_compl_zeroLocus_iff_not_mem", "ProjectiveSpectrum.mem_vanishingIdeal", "ProjectiveSpectrum.mem_zeroLocus", "ProjectiveSpectrum.subset_vanishingIdeal_zeroLocus", "ProjectiveSpectrum.subset_zeroLocus_iff_le_vanishingIdeal", "ProjectiveSpectrum.subset_zeroLocus_iff_subset_vanishingIdeal", "ProjectiveSpectrum.subset_zeroLocus_vanishingIdeal", "ProjectiveSpectrum.sup_vanishingIdeal_le", "ProjectiveSpectrum.union_zeroLocus", "ProjectiveSpectrum.vanishingIdeal_anti_mono", "ProjectiveSpectrum.vanishingIdeal_closure", "ProjectiveSpectrum.vanishingIdeal_singleton", "ProjectiveSpectrum.vanishingIdeal_union", "ProjectiveSpectrum.zeroLocus_anti_mono", "ProjectiveSpectrum.zeroLocus_anti_mono_ideal", "ProjectiveSpectrum.zeroLocus_bUnion", "ProjectiveSpectrum.zeroLocus_empty", "ProjectiveSpectrum.zeroLocus_empty_of_one_mem", "ProjectiveSpectrum.zeroLocus_iSup_homogeneousIdeal", "ProjectiveSpectrum.zeroLocus_iUnion", "ProjectiveSpectrum.zeroLocus_inf", "ProjectiveSpectrum.zeroLocus_mul_homogeneousIdeal", "ProjectiveSpectrum.zeroLocus_mul_ideal", "ProjectiveSpectrum.zeroLocus_singleton_mul", "ProjectiveSpectrum.zeroLocus_singleton_pow", "ProjectiveSpectrum.zeroLocus_span", "ProjectiveSpectrum.zeroLocus_sup_homogeneousIdeal", "ProjectiveSpectrum.zeroLocus_sup_ideal", "ProjectiveSpectrum.zeroLocus_univ", "ProjectiveSpectrum.zeroLocus_vanishingIdeal_eq_closure", "Projectivization.Subspace.mem_add", "Projectivization.Subspace.mem_carrier_iff", "Projectivization.Subspace.mem_span", "Projectivization.Subspace.span_coe", "Projectivization.Subspace.span_empty", "Projectivization.Subspace.span_eq_of_le", "Projectivization.Subspace.span_eq_sInf", "Projectivization.Subspace.span_le_subspace_iff", "Projectivization.Subspace.span_univ", "Projectivization.Subspace.subset_span", "Projectivization.Subspace.sup_span", "Projectivization.dependent_iff", "Projectivization.dependent_iff_not_independent", "Projectivization.dependent_pair_iff_eq", "Projectivization.exists_smul_eq_mk_rep", "Projectivization.ind", "Projectivization.independent_iff", "Projectivization.independent_iff_completeLattice_independent", "Projectivization.independent_iff_not_dependent", "Projectivization.independent_pair_iff_neq", "Projectivization.map_id", "Projectivization.map_injective", "Projectivization.map_mk", "Projectivization.mk''_submodule", "Projectivization.mk'_eq_mk", "Projectivization.mk_eq_mk_iff", "Projectivization.mk_eq_mk_iff'", "Projectivization.mk_rep", "Projectivization.rep_nonzero", "Projectivization.submodule_eq", "Projectivization.submodule_injective", "Prop.bot_eq_false", "Prop.compl_singleton", "Prop.disjoint_iff", "Prop.exists", "Prop.forall", "Prop.isAtom_iff", "Prop.isCoatom_iff", "Prop.isCompl_iff", "Prop.top_eq_true", "ProperCone.coe_comap", "ProperCone.coe_dual", "ProperCone.coe_map", "ProperCone.coe_zero", "ProperCone.dual_dual", "ProperCone.ext", "ProperCone.hyperplane_separation", "ProperCone.map_id", "ProperCone.mem_coe", "ProperCone.mem_map", "ProperCone.mem_zero", "ProperCone.nonempty", "ProperCone.pointed", "ProperCone.pointed_zero", "ProperCone.toPointedCone_injective", "ProperSpace.of_isCompact_closedBall_of_le", "ProperSpace.of_locallyCompactSpace", "ProperSpace.of_locallyCompact_module", "ProperSpace.of_seq_closedBall", "PseudoEMetricSpace.ext", "PseudoEpimorphism.cancel_left", "PseudoEpimorphism.cancel_right", "PseudoEpimorphism.coe_comp", "PseudoEpimorphism.coe_copy", "PseudoEpimorphism.comp_apply", "PseudoEpimorphism.ext", "PseudoEpimorphism.id_apply", "PseudoEpimorphism.toFun_eq_coe", "PseudoEpimorphism.toOrderHom_eq_coe", "PseudoMetricSpace.dist_ofPreNNDist", "PseudoMetricSpace.dist_ofPreNNDist_le", "PseudoMetricSpace.ext", "PseudoMetricSpace.le_two_mul_dist_ofPreNNDist", "PseudoMetricSpace.replaceBornology_eq", "PseudoMetricSpace.replaceTopology_eq", "PseudoMetricSpace.replaceUniformity_eq", "Pullback.continuous_lift", "Pullback.continuous_proj", "Pullback.continuous_totalSpaceMk", "PythagoreanTriple.classification", "PythagoreanTriple.classified", "PythagoreanTriple.coprime_classification", "PythagoreanTriple.coprime_classification'", "PythagoreanTriple.coprime_of_coprime", "PythagoreanTriple.eq", "PythagoreanTriple.even_odd_of_coprime", "PythagoreanTriple.gcd_dvd", "PythagoreanTriple.isClassified_of_isPrimitiveClassified", "PythagoreanTriple.isClassified_of_normalize_isPrimitiveClassified", "PythagoreanTriple.isPrimitiveClassified_aux", "PythagoreanTriple.isPrimitiveClassified_of_coprime", "PythagoreanTriple.isPrimitiveClassified_of_coprime_of_odd_of_pos", "PythagoreanTriple.isPrimitiveClassified_of_coprime_of_pos", "PythagoreanTriple.isPrimitiveClassified_of_coprime_of_zero_left", "PythagoreanTriple.mul_iff", "PythagoreanTriple.mul_isClassified", "PythagoreanTriple.ne_zero_of_coprime", "PythagoreanTriple.normalize", "PythagoreanTriple.symm", "PythagoreanTriple.zero", "QPF.Cofix.bisim", "QPF.Cofix.bisim'", "QPF.Cofix.bisim_aux", "QPF.Cofix.bisim_rel", "QPF.Cofix.dest_corec", "QPF.Fix.dest_mk", "QPF.Fix.ind", "QPF.Fix.ind_aux", "QPF.Fix.ind_rec", "QPF.Fix.mk_dest", "QPF.Fix.rec_eq", "QPF.Wequiv.abs'", "QPF.Wequiv.refl", "QPF.Wequiv.symm", "QPF.Wrepr_equiv", "QPF.comp_map", "QPF.has_good_supp_iff", "QPF.id_map", "QPF.liftp_iff", "QPF.liftp_iff'", "QPF.liftp_iff_of_isUniform", "QPF.liftr_iff", "QPF.mem_supp", "QPF.recF_eq", "QPF.recF_eq'", "QPF.recF_eq_of_Wequiv", "QPF.suppPreservation_iff_liftpPreservation", "QPF.suppPreservation_iff_uniform", "QPF.supp_eq", "QPF.supp_eq_of_isUniform", "QPF.supp_map", "QuadraticForm.Anisotropic.eq_zero_iff", "QuadraticForm.Equivalent.pi", "QuadraticForm.Equivalent.prod", "QuadraticForm.Equivalent.refl", "QuadraticForm.Equivalent.trans", "QuadraticForm.IsOrtho.all", "QuadraticForm.IsOrtho.inr_inl", "QuadraticForm.IsOrtho.polar_eq_zero", "QuadraticForm.IsOrtho.zero_left", "QuadraticForm.Isometry.coe_toLinearMap", "QuadraticForm.Isometry.comp_assoc", "QuadraticForm.Isometry.ext", "QuadraticForm.Isometry.fst_comp_inr", "QuadraticForm.Isometry.id_comp", "QuadraticForm.Isometry.map_app", "QuadraticForm.Isometry.ofEq_rfl", "QuadraticForm.Isometry.proj_comp_single_of_same", "QuadraticForm.Isometry.snd_comp_inr", "QuadraticForm.Isometry.toLinearMap_comp", "QuadraticForm.Isometry.toLinearMap_injective", "QuadraticForm.IsometryEquiv.coe_toLinearEquiv", "QuadraticForm.IsometryEquiv.map_app", "QuadraticForm.PosDef.nonneg", "QuadraticForm.PosDef.prod", "QuadraticForm.PosDef.smul", "QuadraticForm.Ring.associated_pi", "QuadraticForm.Ring.polar_pi", "QuadraticForm.add_apply", "QuadraticForm.anisotropic_of_pi", "QuadraticForm.anisotropic_of_prod", "QuadraticForm.associated_apply", "QuadraticForm.associated_baseChange", "QuadraticForm.associated_comp", "QuadraticForm.associated_eq_self_apply", "QuadraticForm.associated_isOrtho", "QuadraticForm.associated_isSymm", "QuadraticForm.associated_left_inverse", "QuadraticForm.associated_linMulLin", "QuadraticForm.associated_prod", "QuadraticForm.associated_rightInverse", "QuadraticForm.associated_sq", "QuadraticForm.associated_tmul", "QuadraticForm.associated_toQuadraticForm", "QuadraticForm.baseChange_tmul", "QuadraticForm.basisRepr_eq_of_iIsOrtho", "QuadraticForm.choose_exists_companion", "QuadraticForm.coeFn_add", "QuadraticForm.coeFn_neg", "QuadraticForm.coeFn_smul", "QuadraticForm.coeFn_sub", "QuadraticForm.coeFn_sum", "QuadraticForm.coeFn_zero", "QuadraticForm.coe_copy", "QuadraticForm.comp_apply", "QuadraticForm.comp_tensorLId_eq", "QuadraticForm.comp_tensorRId_eq", "QuadraticForm.complex_equivalent", "QuadraticForm.congr_fun", "QuadraticForm.copy_eq", "QuadraticForm.discr_comp", "QuadraticForm.discr_smul", "QuadraticForm.equivalent_one_zero_neg_one_weighted_sum_squared", "QuadraticForm.equivalent_signType_weighted_sum_squared", "QuadraticForm.equivalent_weightedSumSquares_units_of_nondegenerate'", "QuadraticForm.exists_companion", "QuadraticForm.exists_quadraticForm_ne_zero", "QuadraticForm.ext", "QuadraticForm.isOrtho_comm", "QuadraticForm.isOrtho_def", "QuadraticForm.isOrtho_inl_inl_iff", "QuadraticForm.isOrtho_inr_inr_iff", "QuadraticForm.isOrtho_polarBilin", "QuadraticForm.isSymm_toMatrix'", "QuadraticForm.linMulLinSelfPosDef", "QuadraticForm.linMulLin_add", "QuadraticForm.linMulLin_apply", "QuadraticForm.linMulLin_comp", "QuadraticForm.map_add_add_add_map", "QuadraticForm.map_add_self", "QuadraticForm.map_neg", "QuadraticForm.map_smul", "QuadraticForm.map_smul_of_tower", "QuadraticForm.map_sub", "QuadraticForm.map_zero", "QuadraticForm.neg_apply", "QuadraticForm.nonneg_pi_iff", "QuadraticForm.nonneg_prod_iff", "QuadraticForm.not_anisotropic_iff_exists", "QuadraticForm.pi_apply", "QuadraticForm.pi_apply_single", "QuadraticForm.polarBilin_baseChange", "QuadraticForm.polarBilin_comp", "QuadraticForm.polarBilin_injective", "QuadraticForm.polarBilin_tmul", "QuadraticForm.polar_add", "QuadraticForm.polar_add_left_iff", "QuadraticForm.polar_add_right", "QuadraticForm.polar_comm", "QuadraticForm.polar_comp", "QuadraticForm.polar_neg", "QuadraticForm.polar_neg_left", "QuadraticForm.polar_neg_right", "QuadraticForm.polar_self", "QuadraticForm.polar_smul", "QuadraticForm.polar_smul_left", "QuadraticForm.polar_smul_left_of_tower", "QuadraticForm.polar_smul_right", "QuadraticForm.polar_smul_right_of_tower", "QuadraticForm.polar_sub_left", "QuadraticForm.polar_sub_right", "QuadraticForm.polar_zero_left", "QuadraticForm.polar_zero_right", "QuadraticForm.posDef_of_nonneg", "QuadraticForm.posDef_of_toMatrix'", "QuadraticForm.posDef_pi_iff", "QuadraticForm.posDef_prod_iff", "QuadraticForm.posDef_toMatrix'", "QuadraticForm.separatingLeft_of_anisotropic", "QuadraticForm.sum_apply", "QuadraticForm.tensorAssoc_symm_apply", "QuadraticForm.tensorComm_symm", "QuadraticForm.tensorDistrib_tmul", "QuadraticForm.tensorRId_apply", "QuadraticForm.tmul_comp_tensorAssoc", "QuadraticForm.tmul_comp_tensorComm", "QuadraticForm.tmul_comp_tensorMap", "QuadraticForm.tmul_tensorAssoc_apply", "QuadraticForm.tmul_tensorComm_apply", "QuadraticForm.tmul_tensorLId_apply", "QuadraticForm.tmul_tensorMap_apply", "QuadraticForm.toFun_eq_coe", "QuadraticForm.toMatrix'_comp", "QuadraticForm.toMatrix'_smul", "QuadraticForm.toQuadraticForm_associated", "QuadraticForm.toQuadraticForm_polarBilin", "QuadraticForm.two_nsmul_associated", "QuadraticForm.weightedSumSquares_apply", "QuadraticModuleCat.Hom.toIsometry_injective", "QuadraticModuleCat.forget\u2082_map_associator_hom", "QuadraticModuleCat.forget\u2082_obj", "QuadraticModuleCat.hom_ext", "QuadraticModuleCat.ofIso_refl", "QuadraticModuleCat.ofIso_symm", "QuadraticModuleCat.toIsometry_id", "QuadraticModuleCat.toModuleCat_tensor", "Quandle.conj_act_eq_conj", "Quandle.conj_swap", "Quandle.dihedralAct.inv", "Quandle.fix_inv", "QuasiErgodic.ae_empty_or_univ\u2080", "QuasiErgodic.ae_eq_const_of_ae_eq_comp_ae", "QuasiErgodic.ae_eq_const_of_ae_eq_comp_of_ae_range\u2080", "QuasiErgodic.ae_mem_or_ae_nmem\u2080", "QuasiconcaveOn.convex_gt", "QuasiconcaveOn.dual", "QuasiconcaveOn.inf", "QuasiconvexOn.convex", "QuasiconvexOn.convex_lt", "QuasiconvexOn.sup", "QuasilinearOn.monotoneOn_or_antitoneOn", "QuasispectrumRestricts.algebraMap_image", "QuasispectrumRestricts.cfc", "QuasispectrumRestricts.cfc\u2099Hom_eq_restrict", "QuasispectrumRestricts.cfc\u2099_eq_restrict", "QuasispectrumRestricts.closedEmbedding_nonUnitalStarAlgHom", "QuasispectrumRestricts.comp", "QuasispectrumRestricts.compactSpace", "QuasispectrumRestricts.image", "QuasispectrumRestricts.isSelfAdjoint", "QuasispectrumRestricts.map_zero", "QuasispectrumRestricts.nnreal_iff", "QuasispectrumRestricts.nonUnitalStarAlgHom_id", "QuasispectrumRestricts.real_iff", "QuasispectrumRestricts.subset_preimage", "Quaternion.add_im", "Quaternion.add_imI", "Quaternion.algebraMap_def", "Quaternion.algebraMap_injective", "Quaternion.coeComplex_add", "Quaternion.coeComplex_imJ", "Quaternion.coeComplex_re", "Quaternion.coeComplex_zero", "Quaternion.coe_div", "Quaternion.coe_im", "Quaternion.coe_imI", "Quaternion.coe_inj", "Quaternion.coe_injective", "Quaternion.coe_inv", "Quaternion.coe_mul_eq_smul", "Quaternion.coe_natCast", "Quaternion.coe_nnratCast", "Quaternion.coe_normSq_add", "Quaternion.coe_one", "Quaternion.coe_pow", "Quaternion.coe_ratCast", "Quaternion.coe_re", "Quaternion.coe_real_complex_mul", "Quaternion.coe_smul", "Quaternion.coe_starAe", "Quaternion.coe_zero", "Quaternion.coe_zpow", "Quaternion.continuous_coe", "Quaternion.continuous_im", "Quaternion.continuous_imI", "Quaternion.continuous_imK", "Quaternion.continuous_normSq", "Quaternion.continuous_re", "Quaternion.eq_re_iff_mem_range_coe", "Quaternion.eq_re_of_eq_coe", "Quaternion.equivTuple_apply", "Quaternion.expSeries_even_of_imaginary", "Quaternion.expSeries_odd_of_imaginary", "Quaternion.exp_coe", "Quaternion.exp_eq", "Quaternion.exp_of_re_eq_zero", "Quaternion.ext", "Quaternion.ext_iff", "Quaternion.finrank_eq_four", "Quaternion.fst_imI_dualNumberEquiv_symm", "Quaternion.fst_imJ_dualNumberEquiv_symm", "Quaternion.fst_imK_dualNumberEquiv_symm", "Quaternion.fst_re_dualNumberEquiv_symm", "Quaternion.hasSum_coe", "Quaternion.hasSum_expSeries_of_imaginary", "Quaternion.hom_ext", "Quaternion.imI_fst_dualNumberEquiv", "Quaternion.imI_nnratCast", "Quaternion.imJ_nnratCast", "Quaternion.imJ_snd_dualNumberEquiv", "Quaternion.imK_fst_dualNumberEquiv", "Quaternion.imK_nnratCast", "Quaternion.im_exp", "Quaternion.im_idem", "Quaternion.im_imI", "Quaternion.im_imK", "Quaternion.im_re", "Quaternion.im_sq", "Quaternion.im_star", "Quaternion.inner_def", "Quaternion.inner_self", "Quaternion.intCast_imI", "Quaternion.intCast_imJ", "Quaternion.intCast_imK", "Quaternion.intCast_re", "Quaternion.mul_coe_eq_smul", "Quaternion.mul_imI", "Quaternion.mul_imJ", "Quaternion.mul_imK", "Quaternion.mul_re", "Quaternion.natCast_imJ", "Quaternion.natCast_imK", "Quaternion.natCast_re", "Quaternion.neg_im", "Quaternion.neg_imJ", "Quaternion.neg_imK", "Quaternion.neg_re", "Quaternion.nnnorm_coe", "Quaternion.nnnorm_star", "Quaternion.normSq_add", "Quaternion.normSq_coe", "Quaternion.normSq_def", "Quaternion.normSq_def'", "Quaternion.normSq_div", "Quaternion.normSq_eq_norm_mul_self", "Quaternion.normSq_eq_zero", "Quaternion.normSq_exp", "Quaternion.normSq_inv", "Quaternion.normSq_le_zero", "Quaternion.normSq_neg", "Quaternion.normSq_nonneg", "Quaternion.normSq_ratCast", "Quaternion.normSq_smul", "Quaternion.normSq_star", "Quaternion.normSq_zpow", "Quaternion.norm_coe", "Quaternion.norm_exp", "Quaternion.norm_piLp_equiv_symm_equivTuple", "Quaternion.norm_star", "Quaternion.one_imI", "Quaternion.one_imJ", "Quaternion.rank_eq_four", "Quaternion.ratCast_imI", "Quaternion.ratCast_imK", "Quaternion.ratCast_re", "Quaternion.re_add_im", "Quaternion.re_exp", "Quaternion.re_snd_dualNumberEquiv", "Quaternion.self_add_star", "Quaternion.self_add_star'", "Quaternion.self_mul_star", "Quaternion.smul_coe", "Quaternion.smul_imJ", "Quaternion.snd_imK_dualNumberEquiv_symm", "Quaternion.snd_re_dualNumberEquiv_symm", "Quaternion.sq_eq_neg_normSq", "Quaternion.sq_eq_normSq", "Quaternion.star_add_self'", "Quaternion.star_eq_neg", "Quaternion.star_eq_two_re_sub", "Quaternion.star_im", "Quaternion.star_imJ", "Quaternion.star_imK", "Quaternion.star_mul_eq_coe", "Quaternion.star_mul_self", "Quaternion.star_re", "Quaternion.sub_imI", "Quaternion.sub_imJ", "Quaternion.sub_re", "Quaternion.sub_self_im", "Quaternion.sub_self_re", "Quaternion.summable_coe", "Quaternion.tsum_coe", "Quaternion.zero_im", "Quaternion.zero_imJ", "Quaternion.zero_re", "QuaternionAlgebra.Basis.i_mul_k", "QuaternionAlgebra.Basis.j_mul_k", "QuaternionAlgebra.Basis.k_mul_i", "QuaternionAlgebra.Basis.k_mul_j", "QuaternionAlgebra.Basis.k_mul_k", "QuaternionAlgebra.Basis.lift_add", "QuaternionAlgebra.Basis.lift_mul", "QuaternionAlgebra.Basis.lift_one", "QuaternionAlgebra.Basis.lift_smul", "QuaternionAlgebra.Basis.lift_zero", "QuaternionAlgebra.add_im", "QuaternionAlgebra.add_imJ", "QuaternionAlgebra.add_imK", "QuaternionAlgebra.algebraMap_injective", "QuaternionAlgebra.coe_add", "QuaternionAlgebra.coe_algebraMap", "QuaternionAlgebra.coe_commute", "QuaternionAlgebra.coe_commutes", "QuaternionAlgebra.coe_im", "QuaternionAlgebra.coe_imI", "QuaternionAlgebra.coe_imJ", "QuaternionAlgebra.coe_imK", "QuaternionAlgebra.coe_inj", "QuaternionAlgebra.coe_linearEquivTuple", "QuaternionAlgebra.coe_linearEquivTuple_symm", "QuaternionAlgebra.coe_mul", "QuaternionAlgebra.coe_mul_eq_smul", "QuaternionAlgebra.coe_natCast", "QuaternionAlgebra.coe_neg", "QuaternionAlgebra.coe_one", "QuaternionAlgebra.coe_pow", "QuaternionAlgebra.coe_smul", "QuaternionAlgebra.eq_re_of_eq_coe", "QuaternionAlgebra.equivTuple_apply", "QuaternionAlgebra.finrank_eq_four", "QuaternionAlgebra.imK_star", "QuaternionAlgebra.im_idem", "QuaternionAlgebra.im_imI", "QuaternionAlgebra.im_imJ", "QuaternionAlgebra.im_imK", "QuaternionAlgebra.im_re", "QuaternionAlgebra.im_star", "QuaternionAlgebra.intCast_imI", "QuaternionAlgebra.intCast_imK", "QuaternionAlgebra.intCast_re", "QuaternionAlgebra.mk.eta", "QuaternionAlgebra.mk_mul_mk", "QuaternionAlgebra.mul_imI", "QuaternionAlgebra.mul_imJ", "QuaternionAlgebra.mul_imK", "QuaternionAlgebra.mul_re", "QuaternionAlgebra.mul_star_eq_coe", "QuaternionAlgebra.natCast_imK", "QuaternionAlgebra.natCast_re", "QuaternionAlgebra.neg_im", "QuaternionAlgebra.neg_imI", "QuaternionAlgebra.neg_mk", "QuaternionAlgebra.neg_re", "QuaternionAlgebra.one_im", "QuaternionAlgebra.one_imI", "QuaternionAlgebra.one_imJ", "QuaternionAlgebra.rank_eq_four", "QuaternionAlgebra.re_add_im", "QuaternionAlgebra.self_add_star", "QuaternionAlgebra.self_add_star'", "QuaternionAlgebra.smul_im", "QuaternionAlgebra.smul_imI", "QuaternionAlgebra.smul_imJ", "QuaternionAlgebra.smul_mk", "QuaternionAlgebra.smul_re", "QuaternionAlgebra.star_add_self", "QuaternionAlgebra.star_add_self'", "QuaternionAlgebra.star_eq_neg", "QuaternionAlgebra.star_eq_self", "QuaternionAlgebra.star_eq_two_re_sub", "QuaternionAlgebra.star_im", "QuaternionAlgebra.star_smul", "QuaternionAlgebra.sub_im", "QuaternionAlgebra.sub_imJ", "QuaternionAlgebra.sub_imK", "QuaternionAlgebra.sub_re", "QuaternionAlgebra.sub_self_im", "QuaternionAlgebra.sub_self_re", "QuaternionAlgebra.zero_im", "QuaternionAlgebra.zero_imI", "QuaternionAlgebra.zero_imJ", "QuaternionAlgebra.zero_imK", "QuaternionAlgebra.zero_re", "QuaternionGroup.a_mul_a", "QuaternionGroup.a_one_pow", "QuaternionGroup.card", "QuaternionGroup.exponent", "QuaternionGroup.orderOf_a", "QuaternionGroup.orderOf_a_one", "QuaternionGroup.orderOf_xa", "QuaternionGroup.quaternionGroup_one_isCyclic", "QuaternionGroup.xa_mul_a", "QuaternionGroup.xa_mul_xa", "QuaternionGroup.xa_pow_four", "QuaternionGroup.xa_sq", "Quiver.Hom.cast_cast", "Quiver.Hom.cast_eq_cast", "Quiver.Hom.cast_eq_iff_heq", "Quiver.Hom.cast_heq", "Quiver.Hom.cast_rfl_rfl", "Quiver.Hom.comp_toLoc", "Quiver.Hom.eq_cast_iff_heq", "Quiver.Hom.id_toLoc", "Quiver.Hom.mop_inj", "Quiver.Hom.mop_unmop", "Quiver.Hom.op_inj", "Quiver.Hom.op_unop", "Quiver.Hom.unmop_inj", "Quiver.Hom.unmop_mop", "Quiver.Hom.unop_inj", "Quiver.Hom.unop_mk", "Quiver.Hom.unop_op", "Quiver.Hom.unop_op'", "Quiver.Path.cast_cast", "Quiver.Path.cast_cons", "Quiver.Path.cast_eq_iff_heq", "Quiver.Path.cast_heq", "Quiver.Path.cast_nil", "Quiver.Path.cast_rfl_rfl", "Quiver.Path.comp_assoc", "Quiver.Path.comp_cons", "Quiver.Path.comp_inj", "Quiver.Path.comp_inj'", "Quiver.Path.comp_inj_left", "Quiver.Path.comp_injective_right", "Quiver.Path.cons_ne_nil", "Quiver.Path.eq_of_length_zero", "Quiver.Path.heq_of_cons_eq_cons", "Quiver.Path.hom_heq_of_cons_eq_cons", "Quiver.Path.length_comp", "Quiver.Path.length_cons", "Quiver.Path.nil_comp", "Quiver.Path.nil_ne_cons", "Quiver.Path.reverse_comp", "Quiver.Path.reverse_reverse", "Quiver.Path.reverse_toPath", "Quiver.Path.toList_chain_nonempty", "Quiver.Path.toList_comp", "Quiver.Push.lift_comp", "Quiver.Push.lift_unique", "Quiver.Push.of_obj", "Quiver.SingleObj.ext", "Quiver.SingleObj.pathEquivList_nil", "Quiver.SingleObj.pathEquivList_symm_cons", "Quiver.SingleObj.pathEquivList_symm_nil", "Quiver.SingleObj.toPrefunctor_comp", "Quiver.SingleObj.toPrefunctor_symm_comp", "Quiver.Symmetrify.lift_reverse", "Quiver.Symmetrify.lift_spec", "Quiver.Symmetrify.lift_unique", "Quiver.WeaklyConnectedComponent.eq", "Quiver.cast_eq_of_cons_eq_cons", "Quiver.empty_arrow", "Quiver.eq_nil_of_length_zero", "Quiver.eq_reverse_iff", "Quiver.hom_cast_eq_of_cons_eq_cons", "Quiver.reverse_inj", "Quiver.reverse_reverse", "Quiver.shortest_path_spec", "Quiver.symmetrify_reverse", "Quot.congr_mk", "Quot.eq", "Quot.factor_mk_eq", "Quot.inductionOn", "Quot.induction_on", "Quot.induction_on\u2083", "Quot.liftOn_mk", "Quot.liftOn\u2082_mk", "Quot.subsingleton_iff", "QuotSMulTop.equivQuotTensor_naturality", "QuotSMulTop.equivQuotTensor_naturality_mk", "QuotSMulTop.equivTensorQuot_naturality", "QuotSMulTop.equivTensorQuot_naturality_mk", "QuotSMulTop.map_comp", "QuotSMulTop.map_comp_mkQ", "QuotSMulTop.map_first_exact_on_four_term_exact_of_isSMulRegular_last", "QuotSMulTop.map_id", "QuotSMulTop.map_surjective", "Quotient.choice_eq", "Quotient.congr_mk", "Quotient.eq", "Quotient.eq'", "Quotient.eq''", "Quotient.eq_mk_iff_out", "Quotient.eq_rel", "Quotient.exact", "Quotient.exact'", "Quotient.exists_rep", "Quotient.finChoiceAux_eq", "Quotient.finChoice_eq", "Quotient.forall", "Quotient.hrecOn'_mk''", "Quotient.hrecOn\u2082'_mk''", "Quotient.ind'", "Quotient.inductionOn", "Quotient.inductionOn'", "Quotient.inductionOn\u2082", "Quotient.inductionOn\u2083'", "Quotient.induction_on_pi", "Quotient.ind\u2082'", "Quotient.liftOn'_mk''", "Quotient.liftOn\u2082'_mk", "Quotient.liftOn\u2082'_mk''", "Quotient.liftOn\u2082_mk", "Quotient.lift_comp_mk", "Quotient.lift_mk", "Quotient.lift\u2082_mk", "Quotient.map'_mk''", "Quotient.map\u2082_mk", "Quotient.mk''_eq_mk", "Quotient.mk'_eq_mk", "Quotient.mk_eq_iff_out", "Quotient.mk_out", "Quotient.mk_out'", "Quotient.out_eq", "Quotient.out_eq'", "Quotient.out_equiv_out", "Quotient.out_injective", "Quotient.preimage_mem_nhds", "Quotient.sound", "Quotient.sound'", "Quotient.subsingleton_iff", "Quotient.surjective_Quotient_mk''", "Quotient.surjective_liftOn'", "QuotientAddGroup.automorphize_smul_left", "QuotientAddGroup.btw_coe_iff", "QuotientAddGroup.btw_coe_iff'", "QuotientAddGroup.equivIcoMod_coe", "QuotientAddGroup.equivIocMod_zero", "QuotientAddGroup.integral_mul_eq_integral_automorphize_mul", "QuotientAddGroup.norm_eq_infDist", "QuotientAddGroup.norm_lift_apply_le", "QuotientAddGroup.norm_lt_iff", "QuotientAddGroup.norm_mk", "QuotientAddGroup.zmultiples_nsmul_eq_nsmul_iff", "QuotientAddGroup.zmultiples_zsmul_eq_zsmul_iff", "QuotientGroup.card_preimage_mk", "QuotientGroup.comap_comap_center", "QuotientGroup.congr_mk", "QuotientGroup.congr_mk'", "QuotientGroup.congr_symm", "QuotientGroup.continuous_smul\u2081", "QuotientGroup.eq", "QuotientGroup.eq_class_eq_leftCoset", "QuotientGroup.eq_iff_div_mem", "QuotientGroup.eq_one_iff", "QuotientGroup.equivQuotientZPowOfEquiv_refl", "QuotientGroup.equivQuotientZPowOfEquiv_symm", "QuotientGroup.equivQuotientZPowOfEquiv_trans", "QuotientGroup.exists_mk", "QuotientGroup.homQuotientZPowOfHom_comp", "QuotientGroup.homQuotientZPowOfHom_comp_of_rightInverse", "QuotientGroup.image_coe_inj", "QuotientGroup.induction_on", "QuotientGroup.induction_on'", "QuotientGroup.integral_eq_integral_automorphize", "QuotientGroup.integral_mul_eq_integral_automorphize_mul", "QuotientGroup.isClosedMap_coe", "QuotientGroup.isOpenMap_coe", "QuotientGroup.kerLift_injective", "QuotientGroup.kerLift_mk", "QuotientGroup.kerLift_mk'", "QuotientGroup.ker_le_range_iff", "QuotientGroup.ker_mk'", "QuotientGroup.leftRel_apply", "QuotientGroup.leftRel_eq", "QuotientGroup.leftRel_r_eq_leftCosetEquivalence", "QuotientGroup.lift_mk'", "QuotientGroup.lift_quot_mk", "QuotientGroup.map_comp_map", "QuotientGroup.map_map", "QuotientGroup.map_mk'_self", "QuotientGroup.measurable_coe", "QuotientGroup.measurable_from_quotient", "QuotientGroup.mk'_apply", "QuotientGroup.mk'_eq_mk'", "QuotientGroup.mk'_surjective", "QuotientGroup.mk_div", "QuotientGroup.mk_inv", "QuotientGroup.mk_mul", "QuotientGroup.mk_mul_of_mem", "QuotientGroup.mk_one", "QuotientGroup.mk_out'_eq_mul", "QuotientGroup.mk_pow", "QuotientGroup.mk_prod", "QuotientGroup.mk_zpow", "QuotientGroup.monoidHom_ext", "QuotientGroup.nhds_eq", "QuotientGroup.out'_conj_pow_minimalPeriod_mem", "QuotientGroup.out_eq'", "QuotientGroup.preimage_image_coe", "QuotientGroup.preimage_image_mk", "QuotientGroup.quotientMulEquivOfEq_mk", "QuotientGroup.quotientQuotientEquivQuotientAux_mk", "QuotientGroup.quotientQuotientEquivQuotientAux_mk_mk", "QuotientGroup.quotient_liftOn_mk", "QuotientGroup.rangeKerLift_injective", "QuotientGroup.rangeKerLift_surjective", "QuotientGroup.rightRel_apply", "QuotientGroup.rightRel_eq", "QuotientGroup.rightRel_r_eq_rightCosetEquivalence", "QuotientGroup.sound", "QuotientGroup.subgroup_eq_top_of_subsingleton", "QuotientGroup.subsingleton_quotient_top", "QuotientMap.comp", "QuotientMap.continuous_iff", "QuotientMap.continuous_lift_prod_left", "QuotientMap.continuous_lift_prod_right", "QuotientMap.id", "QuotientMap.image_connectedComponent", "QuotientMap.isClopen_preimage", "QuotientMap.isOpen_preimage", "QuotientMap.of_quotientMap_compose", "QuotientMap.of_surjective_continuous", "QuotientMap.preimage_connectedComponent", "QuotientMap.secondCountableTopology", "QuotientMap.separableSpace", "QuotientMap.surjective", "QuotientRing.isOpenMap_coe", "QuotientRing.quotientMap_coe_coe", "R1Space.iInf", "R1Space.induced", "R1Space.inf", "R1Space.sInf", "R1Space.t2Space_iff_t0Space", "RCLike.I_eq_zero_or_im_I_eq_one", "RCLike.I_im'", "RCLike.I_mul_I", "RCLike.I_mul_I_of_nonzero", "RCLike.I_mul_re", "RCLike.I_re", "RCLike.I_to_complex", "RCLike.I_to_real", "RCLike.abs_im_div_norm_le_one", "RCLike.abs_im_le_norm", "RCLike.abs_re_div_norm_le_one", "RCLike.abs_re_le_norm", "RCLike.add_conj", "RCLike.algebraMap_eq_ofReal", "RCLike.conjCLE_coe", "RCLike.conjCLE_norm", "RCLike.conjLIE_apply", "RCLike.conj_I", "RCLike.conj_eq_iff_re", "RCLike.conj_eq_iff_real", "RCLike.conj_eq_re_sub_im", "RCLike.conj_im", "RCLike.conj_mul", "RCLike.conj_neg_I", "RCLike.conj_ofReal", "RCLike.conj_re", "RCLike.conj_smul", "RCLike.conj_to_real", "RCLike.continuous_re", "RCLike.div_I", "RCLike.div_im", "RCLike.div_re", "RCLike.div_re_ofReal", "RCLike.exists_norm_eq_mul_self", "RCLike.exists_norm_mul_eq_self", "RCLike.ext", "RCLike.ext_iff", "RCLike.hasSum_conj'", "RCLike.hasSum_iff", "RCLike.hasSum_im", "RCLike.hasSum_ofReal", "RCLike.hasSum_re", "RCLike.imCLM_apply", "RCLike.im_eq_conj_sub", "RCLike.im_eq_zero", "RCLike.im_eq_zero_of_le", "RCLike.im_le_norm", "RCLike.im_ofReal_mul", "RCLike.im_sq_le_normSq", "RCLike.im_to_complex", "RCLike.intCast_im", "RCLike.intCast_re", "RCLike.intervalIntegral_ofReal", "RCLike.inv_I", "RCLike.inv_def", "RCLike.inv_eq_conj", "RCLike.inv_im", "RCLike.inv_pos", "RCLike.inv_pos_of_pos", "RCLike.inv_re", "RCLike.isCauSeq_im", "RCLike.isCauSeq_norm", "RCLike.isCauSeq_re", "RCLike.is_real_TFAE", "RCLike.lt_iff_re_im", "RCLike.measurable_ofReal", "RCLike.mul_conj", "RCLike.mul_im", "RCLike.mul_re", "RCLike.mul_self_norm", "RCLike.natCast_im", "RCLike.natCast_re", "RCLike.neg_iff", "RCLike.neg_iff_exists_ofReal", "RCLike.nonUnitalContinuousFunctionalCalculus", "RCLike.nonneg_iff", "RCLike.nonneg_iff_exists_ofReal", "RCLike.nonpos_iff", "RCLike.nonpos_iff_exists_ofReal", "RCLike.normSq_add", "RCLike.normSq_apply", "RCLike.normSq_conj", "RCLike.normSq_div", "RCLike.normSq_eq_def'", "RCLike.normSq_eq_zero", "RCLike.normSq_inv", "RCLike.normSq_neg", "RCLike.normSq_nonneg", "RCLike.normSq_one", "RCLike.normSq_pos", "RCLike.normSq_sub", "RCLike.normSq_to_real", "RCLike.norm_I_of_ne_zero", "RCLike.norm_coe_norm", "RCLike.norm_conj", "RCLike.norm_im_le_norm", "RCLike.norm_natCast", "RCLike.norm_nsmul", "RCLike.norm_ofReal", "RCLike.norm_of_nonneg", "RCLike.norm_re_le_norm", "RCLike.norm_sq_eq_def", "RCLike.norm_sq_re_add_conj", "RCLike.norm_sq_re_conj_add", "RCLike.norm_two", "RCLike.ofNat_mul_im", "RCLike.ofRealAm_coe", "RCLike.ofRealCLM_apply", "RCLike.ofRealCLM_coe", "RCLike.ofRealCLM_norm", "RCLike.ofRealLI_apply", "RCLike.ofReal_add", "RCLike.ofReal_eq_zero", "RCLike.ofReal_finsupp_prod", "RCLike.ofReal_finsupp_sum", "RCLike.ofReal_im", "RCLike.ofReal_inj", "RCLike.ofReal_injective", "RCLike.ofReal_intCast", "RCLike.ofReal_inv", "RCLike.ofReal_lt_zero", "RCLike.ofReal_mul", "RCLike.ofReal_natCast", "RCLike.ofReal_ne_zero", "RCLike.ofReal_neg", "RCLike.ofReal_nonneg", "RCLike.ofReal_nonpos", "RCLike.ofReal_ofNat", "RCLike.ofReal_one", "RCLike.ofReal_pos", "RCLike.ofReal_pow", "RCLike.ofReal_prod", "RCLike.ofReal_ratCast", "RCLike.ofReal_re", "RCLike.ofReal_sub", "RCLike.ofReal_sum", "RCLike.ofReal_tsum", "RCLike.ofReal_zero", "RCLike.ofReal_zpow", "RCLike.one_im", "RCLike.one_re", "RCLike.pos_iff", "RCLike.pos_iff_exists_ofReal", "RCLike.ratCast_im", "RCLike.ratCast_re", "RCLike.reCLM_apply", "RCLike.reCLM_coe", "RCLike.reCLM_norm", "RCLike.reLm_coe", "RCLike.re_add_im", "RCLike.re_eq_add_conj", "RCLike.re_eq_norm_of_mul_conj", "RCLike.re_eq_self_of_le", "RCLike.re_le_norm", "RCLike.re_ofReal_mul", "RCLike.re_to_complex", "RCLike.re_to_real", "RCLike.re_tsum", "RCLike.real_smul_eq_coe_mul", "RCLike.real_smul_ofReal", "RCLike.smul_re", "RCLike.sqrt_normSq_eq_norm", "RCLike.star_def", "RCLike.sub_conj", "RCLike.summable_conj", "RCLike.tendsto_inverse_atTop_nhds_zero_nat", "RCLike.toOrderedSMul", "RCLike.toStarOrderedRing", "RCLike.uniqueContinuousFunctionalCalculus_of_compactSpace_spectrum", "RCLike.uniqueNonUnitalContinuousFunctionalCalculus_of_compactSpace_quasispectrum", "RCLike.zero_re'", "R_apply", "R_mul", "Rack.PreEnvelGroupRel'.rel", "Rack.PreEnvelGroupRel.refl", "Rack.PreEnvelGroupRel.symm", "Rack.act'_apply", "Rack.act_invAct_eq", "Rack.ad_conj", "Rack.assoc_iff_id", "Rack.envelAction_prop", "Rack.invAct_apply", "Rack.involutory_invAct_eq_act", "Rack.left_cancel", "Rack.left_cancel_inv", "Rack.op_invAct_op_eq", "Rack.self_act_act_eq", "Rack.self_act_eq_iff_eq", "Rack.self_act_invAct_eq", "Rack.self_distrib_inv", "Rack.self_invAct_act_eq", "Rack.self_invAct_eq_iff_eq", "Rack.self_invAct_invAct_eq", "Rack.toEnvelGroup.mapAux.well_def", "Rack.toEnvelGroup.univ", "Range.isSubfield", "Range.isSubmonoid", "Rat.MulRingNorm.eq_on_nat_iff_eq", "Rat.MulRingNorm.eq_on_nat_iff_eq_on_Int", "Rat.MulRingNorm.equiv_on_nat_iff_equiv", "Rat.MulRingNorm.exists_minimal_nat_zero_lt_mulRingNorm_lt_one", "Rat.MulRingNorm.exists_pos_mulRingNorm_eq_pow_neg", "Rat.MulRingNorm.is_prime_of_minimal_nat_zero_lt_mulRingNorm_lt_one", "Rat.MulRingNorm.mulRingNorm_eq_one_of_not_dvd", "Rat.MulRingNorm.mulRingNorm_eq_padic_norm", "Rat.MulRingNorm.mulRingNorm_equiv_padic_of_bounded", "Rat.RingOfIntegers.isUnit_iff", "Rat.abs_def", "Rat.add.aux", "Rat.addSubmonoid_closure_range_mul_self", "Rat.addSubmonoid_closure_range_pow", "Rat.add_assoc", "Rat.add_comm", "Rat.add_def", "Rat.add_def'", "Rat.add_def''", "Rat.add_divInt", "Rat.add_left_neg", "Rat.add_mul", "Rat.add_nonneg", "Rat.add_num_den", "Rat.add_num_den'", "Rat.add_zero", "Rat.castHom_rat", "Rat.cast_abs", "Rat.cast_add", "Rat.cast_add_of_ne_zero", "Rat.cast_bit0", "Rat.cast_bit1", "Rat.cast_comm", "Rat.cast_commute", "Rat.cast_def", "Rat.cast_div", "Rat.cast_divInt_of_ne_zero", "Rat.cast_div_of_ne_zero", "Rat.cast_eq_id", "Rat.cast_finsupp_prod", "Rat.cast_finsupp_sum", "Rat.cast_fract", "Rat.cast_id", "Rat.cast_inj", "Rat.cast_injective", "Rat.cast_intCast", "Rat.cast_inv", "Rat.cast_inv_int", "Rat.cast_inv_nat", "Rat.cast_inv_of_ne_zero", "Rat.cast_list_sum", "Rat.cast_lt", "Rat.cast_mk", "Rat.cast_mkRat_of_ne_zero", "Rat.cast_mono", "Rat.cast_mul", "Rat.cast_mul_of_ne_zero", "Rat.cast_multiset_prod", "Rat.cast_multiset_sum", "Rat.cast_natCast", "Rat.cast_ne_zero", "Rat.cast_neg", "Rat.cast_nnratCast", "Rat.cast_nonneg", "Rat.cast_nonpos", "Rat.cast_ofNat", "Rat.cast_one", "Rat.cast_pos_of_pos", "Rat.cast_pow", "Rat.cast_strictMono", "Rat.cast_sub", "Rat.cast_sub_of_ne_zero", "Rat.cast_zero", "Rat.ceil_cast", "Rat.classNumber_eq", "Rat.coe_cast_hom", "Rat.coe_int_inj", "Rat.coe_int_num_of_den_eq_one", "Rat.coe_nnabs", "Rat.coe_pnatDen", "Rat.coe_toNNRat", "Rat.comap_cast_atBot", "Rat.comap_cast_atTop", "Rat.continuous_coe_real", "Rat.den_div_eq_of_coprime", "Rat.den_div_intCast_eq_one_iff", "Rat.den_div_natCast_eq_one_iff", "Rat.den_dvd", "Rat.den_eq_one_iff", "Rat.den_intCast", "Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sq", "Rat.den_mk", "Rat.den_mul_eq_num", "Rat.den_natCast", "Rat.den_neg_eq_den", "Rat.den_ofNat", "Rat.den_one", "Rat.den_pos", "Rat.den_pow", "Rat.den_zero", "Rat.denseEmbedding_coe_real", "Rat.denseRange_cast", "Rat.dist_cast", "Rat.dist_eq", "Rat.divInt_add_divInt", "Rat.divInt_div_divInt", "Rat.divInt_div_divInt_cancel_left", "Rat.divInt_div_divInt_cancel_right", "Rat.divInt_eq_div", "Rat.divInt_eq_iff", "Rat.divInt_eq_zero", "Rat.divInt_le_divInt", "Rat.divInt_mul_divInt", "Rat.divInt_mul_divInt'", "Rat.divInt_mul_divInt_cancel", "Rat.divInt_mul_left", "Rat.divInt_mul_right", "Rat.divInt_ne_zero", "Rat.divInt_ne_zero_of_ne_zero", "Rat.divInt_neg", "Rat.divInt_neg'", "Rat.divInt_neg_one_one", "Rat.divInt_nonneg", "Rat.divInt_nonneg_iff_of_pos_right", "Rat.divInt_num_den", "Rat.divInt_ofNat", "Rat.divInt_one_one", "Rat.divInt_pow", "Rat.divInt_self", "Rat.divInt_sub_divInt", "Rat.divInt_zero", "Rat.divInt_zero_one", "Rat.div_def", "Rat.div_def'", "Rat.div_int_inj", "Rat.div_lt_div_iff_mul_lt_mul", "Rat.embedding_coe_real", "Rat.eq_iff_mul_eq_mul", "Rat.eq_num_of_isInt", "Rat.exists_eq_mul_div_num_and_eq_mul_div_den", "Rat.exists_mul_self", "Rat.finite_rat_abs_sub_lt_one_div_den_sq", "Rat.floor_def", "Rat.floor_int_div_nat_eq_div", "Rat.forall", "Rat.fract_inv_num_lt_num_of_pos", "Rat.intCast_add", "Rat.intCast_div", "Rat.intCast_div_eq_divInt", "Rat.intCast_div_self", "Rat.intCast_inj", "Rat.intCast_neg", "Rat.intCast_num", "Rat.intCast_sub", "Rat.intCast_zero", "Rat.interior_compact_eq_empty", "Rat.inv_def", "Rat.inv_def'", "Rat.inv_divInt'", "Rat.inv_intCast_den", "Rat.inv_intCast_den_of_pos", "Rat.inv_intCast_num", "Rat.inv_intCast_num_of_pos", "Rat.inv_mkRat", "Rat.inv_mul_cancel", "Rat.inv_natCast_den", "Rat.inv_natCast_den_of_pos", "Rat.inv_natCast_num", "Rat.inv_natCast_num_of_pos", "Rat.inv_neg", "Rat.inv_ofNat_den", "Rat.inv_ofNat_num", "Rat.inv_zero", "Rat.isSquare_iff", "Rat.isSquare_intCast_iff", "Rat.isSquare_natCast_iff", "Rat.le_def", "Rat.le_floor", "Rat.le_iff_sub_nonneg", "Rat.le_toNNRat_iff_coe_le'", "Rat.le_total", "Rat.lift_binop_eq", "Rat.lt_def", "Rat.lt_one_iff_num_lt_denom", "Rat.maybeNormalize_eq", "Rat.maybeNormalize_eq_normalize", "Rat.mk'_eq_divInt", "Rat.mk'_mul_mk'", "Rat.mkRat_add_mkRat", "Rat.mkRat_eq_div", "Rat.mkRat_eq_divInt", "Rat.mkRat_eq_iff", "Rat.mkRat_mul_left", "Rat.mkRat_mul_mkRat", "Rat.mkRat_mul_right", "Rat.mkRat_ne_zero", "Rat.mkRat_nonneg", "Rat.mkRat_one", "Rat.mkRat_pow", "Rat.mkRat_self", "Rat.mkRat_zero", "Rat.mk_denom_ne_zero_of_ne_zero", "Rat.mk_eq_divInt", "Rat.mk_eq_mkRat", "Rat.mk_eq_normalize", "Rat.mk_num_ne_zero_of_ne_zero", "Rat.mul_add", "Rat.mul_assoc", "Rat.mul_comm", "Rat.mul_def", "Rat.mul_den", "Rat.mul_den_dvd", "Rat.mul_den_eq_num", "Rat.mul_eq_mkRat", "Rat.mul_inv_cancel", "Rat.mul_nonneg", "Rat.mul_num", "Rat.mul_num_den'", "Rat.mul_zero", "Rat.natCast_div_eq_divInt", "Rat.natCast_div_self", "Rat.natCast_eq_divInt", "Rat.natCast_eq_one", "Rat.natCast_inj", "Rat.natCast_injective", "Rat.neg_def", "Rat.neg_den", "Rat.neg_divInt", "Rat.neg_divInt_neg", "Rat.neg_mkRat", "Rat.neg_normalize", "Rat.nonneg_antisymm", "Rat.nonneg_total", "Rat.norm_cast_real", "Rat.normalize.den_nz", "Rat.normalize.reduced", "Rat.normalize.reduced'", "Rat.normalize_add_normalize", "Rat.normalize_eq", "Rat.normalize_eq_iff", "Rat.normalize_eq_mk'", "Rat.normalize_eq_mkRat", "Rat.normalize_eq_zero", "Rat.normalize_mul_left", "Rat.normalize_mul_normalize", "Rat.normalize_mul_right", "Rat.normalize_num_den", "Rat.normalize_num_den'", "Rat.normalize_self", "Rat.normalize_zero", "Rat.not_countably_generated_cocompact", "Rat.not_countably_generated_nhds_infty_opc", "Rat.not_firstCountableTopology_opc", "Rat.not_irrational", "Rat.not_le", "Rat.not_secondCountableTopology_opc", "Rat.num_den_mk", "Rat.num_divInt_den", "Rat.num_div_den", "Rat.num_div_eq_of_coprime", "Rat.num_dvd", "Rat.num_eq_zero", "Rat.num_intCast", "Rat.num_lt_succ_floor_mul_den", "Rat.num_mk", "Rat.num_natCast", "Rat.num_ne_zero", "Rat.num_neg", "Rat.num_nonneg", "Rat.num_nonpos", "Rat.num_one", "Rat.num_pos", "Rat.num_pow", "Rat.numberField_discr", "Rat.ofInt_den", "Rat.ofInt_eq_cast", "Rat.ofInt_num", "Rat.ofInt_ofNat", "Rat.ofNat_den", "Rat.ofScientific_def", "Rat.ofScientific_eq_ofScientific", "Rat.ofScientific_nonneg", "Rat.ofScientific_true_def", "Rat.one_den", "Rat.one_num", "Rat.pnatDen_eq_iff_den_eq", "Rat.pnatDen_one", "Rat.pow_eq_divInt", "Rat.pow_eq_mkRat", "Rat.preimage_cast_Icc", "Rat.preimage_cast_Ici", "Rat.preimage_cast_Ico", "Rat.preimage_cast_Iio", "Rat.preimage_cast_Ioc", "Rat.preimage_cast_Ioi", "Rat.preimage_cast_Ioo", "Rat.preimage_cast_uIcc", "Rat.round_cast", "Rat.smul_def", "Rat.smul_one_eq_cast", "Rat.sqrt_intCast", "Rat.sqrt_natCast", "Rat.sqrt_nonneg", "Rat.sqrt_ofNat", "Rat.sub.aux", "Rat.sub_def", "Rat.sub_def'", "Rat.sub_def''", "Rat.sub_eq_add_neg", "Rat.substr_num_den'", "Rat.toNNRat_add", "Rat.toNNRat_div", "Rat.toNNRat_div'", "Rat.toNNRat_eq_zero", "Rat.toNNRat_inv", "Rat.toNNRat_le_iff_le_coe", "Rat.toNNRat_le_toNNRat_iff", "Rat.toNNRat_lt_iff_lt_coe", "Rat.toNNRat_lt_toNNRat_iff", "Rat.toNNRat_lt_toNNRat_iff'", "Rat.toNNRat_lt_toNNRat_iff_of_nonneg", "Rat.toNNRat_mul", "Rat.toNNRat_one", "Rat.toNNRat_zero", "Rat.uniformContinuous_add", "Rat.uniformContinuous_coe_real", "Rat.uniformContinuous_neg", "Rat.uniformSpace_eq", "Rat.zero_den", "Rat.zero_divInt", "Rat.zero_iff_num_zero", "Rat.zero_mkRat", "Rat.zero_num", "RatFunc.algebraMap_C", "RatFunc.algebraMap_X", "RatFunc.algebraMap_apply", "RatFunc.algebraMap_apply_div", "RatFunc.algebraMap_comp_C", "RatFunc.algebraMap_eq_C", "RatFunc.algebraMap_eq_zero_iff", "RatFunc.algebraMap_injective", "RatFunc.algebraMap_ne_zero", "RatFunc.coe_C", "RatFunc.coe_X", "RatFunc.coe_add", "RatFunc.coe_coe", "RatFunc.coe_def", "RatFunc.coe_injective", "RatFunc.coe_mapAlgHom_eq_coe_map", "RatFunc.coe_mapRingHom_eq_coe_map", "RatFunc.coe_mul", "RatFunc.coe_ne_zero", "RatFunc.coe_neg", "RatFunc.coe_num_denom", "RatFunc.coe_one", "RatFunc.coe_smul", "RatFunc.denom_C", "RatFunc.denom_X", "RatFunc.denom_add_dvd", "RatFunc.denom_algebraMap", "RatFunc.denom_div", "RatFunc.denom_div_dvd", "RatFunc.denom_dvd", "RatFunc.denom_mul_dvd", "RatFunc.denom_ne_zero", "RatFunc.denom_one", "RatFunc.denom_zero", "RatFunc.div_smul", "RatFunc.eval_C", "RatFunc.eval_X", "RatFunc.eval_add", "RatFunc.eval_algebraMap", "RatFunc.eval_eq_zero_of_eval\u2082_denom_eq_zero", "RatFunc.eval_mul", "RatFunc.eval_one", "RatFunc.eval_zero", "RatFunc.eval\u2082_denom_ne_zero", "RatFunc.induction_on", "RatFunc.induction_on'", "RatFunc.intDegree_C", "RatFunc.intDegree_X", "RatFunc.intDegree_add_le", "RatFunc.intDegree_mul", "RatFunc.intDegree_neg", "RatFunc.intDegree_one", "RatFunc.intDegree_polynomial", "RatFunc.intDegree_zero", "RatFunc.isCoprime_num_denom", "RatFunc.laurentAux_algebraMap", "RatFunc.laurentAux_div", "RatFunc.laurentAux_ofFractionRing_mk", "RatFunc.laurent_C", "RatFunc.laurent_X", "RatFunc.laurent_algebraMap", "RatFunc.laurent_at_zero", "RatFunc.laurent_div", "RatFunc.laurent_injective", "RatFunc.laurent_laurent", "RatFunc.liftAlgHom_apply_div", "RatFunc.liftMonoidWithZeroHom_apply", "RatFunc.liftMonoidWithZeroHom_apply_div", "RatFunc.liftMonoidWithZeroHom_apply_div'", "RatFunc.liftMonoidWithZeroHom_injective", "RatFunc.liftOn'_div", "RatFunc.liftOn'_mk", "RatFunc.liftOn_condition_of_liftOn'_condition", "RatFunc.liftOn_div", "RatFunc.liftOn_mk", "RatFunc.liftOn_ofFractionRing_mk", "RatFunc.liftRingHom_apply", "RatFunc.liftRingHom_injective", "RatFunc.map_apply", "RatFunc.map_apply_div", "RatFunc.map_apply_div_ne_zero", "RatFunc.map_apply_ofFractionRing_mk", "RatFunc.map_denom_ne_zero", "RatFunc.map_injective", "RatFunc.mk_coe_def", "RatFunc.mk_def_of_mem", "RatFunc.mk_def_of_ne", "RatFunc.mk_eq_div", "RatFunc.mk_eq_div'", "RatFunc.mk_eq_localization_mk", "RatFunc.mk_eq_mk", "RatFunc.mk_one", "RatFunc.mk_one'", "RatFunc.mk_smul", "RatFunc.mk_zero", "RatFunc.monic_denom", "RatFunc.mul_inv_cancel", "RatFunc.natDegree_num_mul_right_sub_natDegree_denom_mul_left_eq_intDegree", "RatFunc.numDenom_div", "RatFunc.num_C", "RatFunc.num_algebraMap", "RatFunc.num_denom_add", "RatFunc.num_denom_mul", "RatFunc.num_denom_neg", "RatFunc.num_div", "RatFunc.num_div'", "RatFunc.num_div_denom", "RatFunc.num_div_dvd", "RatFunc.num_div_dvd'", "RatFunc.num_dvd", "RatFunc.num_eq_zero_iff", "RatFunc.num_mul_denom_add_denom_mul_num_ne_zero", "RatFunc.num_mul_dvd", "RatFunc.num_mul_eq_mul_denom_iff", "RatFunc.num_ne_zero", "RatFunc.num_one", "RatFunc.num_zero", "RatFunc.ofFractionRing_add", "RatFunc.ofFractionRing_algebraMap", "RatFunc.ofFractionRing_comp_algebraMap", "RatFunc.ofFractionRing_div", "RatFunc.ofFractionRing_eq", "RatFunc.ofFractionRing_injective", "RatFunc.ofFractionRing_inv", "RatFunc.ofFractionRing_mk'", "RatFunc.ofFractionRing_mul", "RatFunc.ofFractionRing_neg", "RatFunc.ofFractionRing_one", "RatFunc.ofFractionRing_smul", "RatFunc.ofFractionRing_sub", "RatFunc.ofFractionRing_zero", "RatFunc.single_inv", "RatFunc.single_one_eq_pow", "RatFunc.single_zpow", "RatFunc.smul_eq_C_mul", "RatFunc.smul_eq_C_smul", "RatFunc.taylor_mem_nonZeroDivisors", "RatFunc.toFractionRingRingEquiv_symm_eq", "RatFunc.toFractionRing_eq", "RayVector.equiv_neg_iff", "RePred.of_eq", "ReaderT.goto_mkLabel", "ReaderT.run_failure", "Real.Angle.abs_cos_eq_abs_sin_of_two_nsmul_add_two_nsmul_eq_pi", "Real.Angle.abs_cos_eq_of_two_nsmul_eq", "Real.Angle.abs_cos_eq_of_two_zsmul_eq", "Real.Angle.abs_sin_eq_of_two_zsmul_eq", "Real.Angle.abs_toReal_eq_pi_div_two_iff", "Real.Angle.abs_toReal_neg_coe_eq_self_iff", "Real.Angle.angle_eq_iff_two_pi_dvd_sub", "Real.Angle.arg_expMapCircle", "Real.Angle.coe_abs_toReal_of_sign_nonneg", "Real.Angle.coe_add", "Real.Angle.coe_expMapCircle", "Real.Angle.coe_neg", "Real.Angle.coe_nsmul", "Real.Angle.coe_pi_add_coe_pi", "Real.Angle.coe_toIcoMod", "Real.Angle.coe_toIocMod", "Real.Angle.coe_toReal", "Real.Angle.coe_two_pi", "Real.Angle.coe_zero", "Real.Angle.coe_zsmul", "Real.Angle.continuousAt_sign", "Real.Angle.continuous_coe", "Real.Angle.continuous_sin", "Real.Angle.cos_add", "Real.Angle.cos_add_pi", "Real.Angle.cos_add_pi_div_two", "Real.Angle.cos_antiperiodic", "Real.Angle.cos_coe_pi", "Real.Angle.cos_eq_iff_coe_eq_or_eq_neg", "Real.Angle.cos_eq_iff_eq_or_eq_neg", "Real.Angle.cos_eq_real_cos_iff_eq_or_eq_neg", "Real.Angle.cos_eq_zero_iff", "Real.Angle.cos_neg", "Real.Angle.cos_neg_iff_pi_div_two_lt_abs_toReal", "Real.Angle.cos_nonneg_iff_abs_toReal_le_pi_div_two", "Real.Angle.cos_pi_div_two_sub", "Real.Angle.cos_pos_iff_abs_toReal_lt_pi_div_two", "Real.Angle.cos_sin_inj", "Real.Angle.cos_sq_add_sin_sq", "Real.Angle.cos_sub_pi", "Real.Angle.cos_sub_pi_div_two", "Real.Angle.eq_iff_abs_toReal_eq_of_sign_eq", "Real.Angle.eq_iff_sign_eq_and_abs_toReal_eq", "Real.Angle.eq_neg_self_iff", "Real.Angle.expMapCircle_add", "Real.Angle.expMapCircle_coe", "Real.Angle.expMapCircle_neg", "Real.Angle.expMapCircle_zero", "Real.Angle.induction_on", "Real.Angle.intCast_mul_eq_zsmul", "Real.Angle.natCast_mul_eq_nsmul", "Real.Angle.ne_neg_self_iff", "Real.Angle.neg_coe_abs_toReal_of_sign_nonpos", "Real.Angle.neg_coe_pi", "Real.Angle.neg_eq_self_iff", "Real.Angle.neg_ne_self_iff", "Real.Angle.neg_pi_div_two_ne_zero", "Real.Angle.neg_pi_lt_toReal", "Real.Angle.nsmul_eq_iff", "Real.Angle.nsmul_toReal_eq_mul", "Real.Angle.pi_ne_zero", "Real.Angle.sign_add_pi", "Real.Angle.sign_antiperiodic", "Real.Angle.sign_coe_neg_pi_div_two", "Real.Angle.sign_coe_nonneg_of_nonneg_of_le_pi", "Real.Angle.sign_coe_pi", "Real.Angle.sign_coe_pi_div_two", "Real.Angle.sign_eq_of_continuousOn", "Real.Angle.sign_eq_zero_iff", "Real.Angle.sign_ne_zero_iff", "Real.Angle.sign_neg", "Real.Angle.sign_neg_coe_nonpos_of_nonneg_of_le_pi", "Real.Angle.sign_pi_add", "Real.Angle.sign_pi_sub", "Real.Angle.sign_toReal", "Real.Angle.sign_two_nsmul_eq_sign_iff", "Real.Angle.sign_two_zsmul_eq_sign_iff", "Real.Angle.sign_zero", "Real.Angle.sin_add", "Real.Angle.sin_add_pi_div_two", "Real.Angle.sin_antiperiodic", "Real.Angle.sin_coe", "Real.Angle.sin_coe_pi", "Real.Angle.sin_eq_iff_coe_eq_or_add_eq_pi", "Real.Angle.sin_eq_real_sin_iff_eq_or_add_eq_pi", "Real.Angle.sin_eq_zero_iff", "Real.Angle.sin_ne_zero_iff", "Real.Angle.sin_neg", "Real.Angle.sin_pi_div_two_sub", "Real.Angle.sin_sub_pi_div_two", "Real.Angle.sin_toReal", "Real.Angle.sin_zero", "Real.Angle.sub_coe_pi_eq_add_coe_pi", "Real.Angle.tan_add_pi", "Real.Angle.tan_coe", "Real.Angle.tan_eq_inv_of_two_nsmul_add_two_nsmul_eq_pi", "Real.Angle.tan_eq_of_two_nsmul_eq", "Real.Angle.tan_eq_of_two_zsmul_eq", "Real.Angle.tan_eq_sin_div_cos", "Real.Angle.tan_periodic", "Real.Angle.tan_sub_pi", "Real.Angle.tan_toReal", "Real.Angle.toIocMod_toReal", "Real.Angle.toReal_coe_eq_self_add_two_pi_iff", "Real.Angle.toReal_coe_eq_self_iff", "Real.Angle.toReal_coe_eq_self_iff_mem_Ioc", "Real.Angle.toReal_coe_eq_self_sub_two_mul_int_mul_pi_iff", "Real.Angle.toReal_coe_eq_self_sub_two_pi_iff", "Real.Angle.toReal_eq_neg_pi_div_two_iff", "Real.Angle.toReal_eq_pi_div_two_iff", "Real.Angle.toReal_eq_pi_iff", "Real.Angle.toReal_eq_zero_iff", "Real.Angle.toReal_inj", "Real.Angle.toReal_injective", "Real.Angle.toReal_le_pi", "Real.Angle.toReal_neg_iff_sign_neg", "Real.Angle.toReal_neg_pi_div_two", "Real.Angle.toReal_nonneg_iff_sign_nonneg", "Real.Angle.toReal_pi_div_two", "Real.Angle.toReal_zero", "Real.Angle.two_nsmul_coe_div_two", "Real.Angle.two_nsmul_coe_pi", "Real.Angle.two_nsmul_eq_iff", "Real.Angle.two_nsmul_eq_pi_iff", "Real.Angle.two_nsmul_eq_zero_iff", "Real.Angle.two_nsmul_ne_zero_iff", "Real.Angle.two_nsmul_neg_pi_div_two", "Real.Angle.two_nsmul_toReal_eq_two_mul_add_two_pi", "Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_pi", "Real.Angle.two_zsmul_coe_div_two", "Real.Angle.two_zsmul_coe_pi", "Real.Angle.two_zsmul_eq_iff", "Real.Angle.two_zsmul_eq_pi_iff", "Real.Angle.two_zsmul_eq_zero_iff", "Real.Angle.two_zsmul_ne_zero_iff", "Real.Angle.two_zsmul_neg_pi_div_two", "Real.Angle.two_zsmul_toReal_eq_two_mul", "Real.Angle.two_zsmul_toReal_eq_two_mul_add_two_pi", "Real.Angle.two_zsmul_toReal_eq_two_mul_sub_two_pi", "Real.BohrMollerup.f_add_nat_eq", "Real.BohrMollerup.f_add_nat_ge", "Real.BohrMollerup.f_add_nat_le", "Real.BohrMollerup.f_nat_eq", "Real.BohrMollerup.ge_logGammaSeq", "Real.BohrMollerup.le_logGammaSeq", "Real.BohrMollerup.logGammaSeq_add_one", "Real.BohrMollerup.tendsto_logGammaSeq", "Real.BohrMollerup.tendsto_logGammaSeq_of_le_one", "Real.BohrMollerup.tendsto_log_gamma", "Real.GammaIntegral_convergent", "Real.GammaSeq_tendsto_Gamma", "Real.Gamma_add_one", "Real.Gamma_eq_integral", "Real.Gamma_eq_zero_iff", "Real.Gamma_integrand_isLittleO", "Real.Gamma_mul_Gamma_add_half", "Real.Gamma_mul_Gamma_add_half_of_pos", "Real.Gamma_mul_Gamma_one_sub", "Real.Gamma_mul_add_mul_le_rpow_Gamma_mul_rpow_Gamma", "Real.Gamma_nat_eq_factorial", "Real.Gamma_ne_zero", "Real.Gamma_neg_nat_eq_zero", "Real.Gamma_nonneg_of_nonneg", "Real.Gamma_one", "Real.Gamma_one_half_eq", "Real.Gamma_pos_of_pos", "Real.Gamma_strictMonoOn_Ici", "Real.Gamma_three_div_two_lt_one", "Real.Gamma_two", "Real.Gamma_zero", "Real.Icc_eq_closedBall", "Real.Icc_mem_vitaliFamily_at_left", "Real.Icc_mem_vitaliFamily_at_right", "Real.Ioo_eq_ball", "Real.IsConjExponent.conjExponent", "Real.IsConjExponent.conj_eq", "Real.IsConjExponent.inv_add_inv_conj_ennreal", "Real.IsConjExponent.inv_inv", "Real.IsConjExponent.inv_ne_zero", "Real.IsConjExponent.inv_one_sub_inv", "Real.IsConjExponent.mul_eq_add", "Real.IsConjExponent.ne_zero", "Real.IsConjExponent.nonneg", "Real.IsConjExponent.one_div_pos", "Real.IsConjExponent.one_sub_inv", "Real.IsConjExponent.pos", "Real.IsConjExponent.sub_one_mul_conj", "Real.IsConjExponent.sub_one_pos", "Real.IsConjExponent.symm", "Real.IsConjExponent.toNNReal", "Real.Lp_add_le", "Real.Lp_add_le_hasSum_of_nonneg", "Real.Lp_add_le_of_nonneg", "Real.Lp_add_le_tsum_of_nonneg", "Real.Wallis.W_eq_factorial_ratio", "Real.Wallis.W_eq_integral_sin_pow_div_integral_sin_pow", "Real.Wallis.W_le", "Real.Wallis.W_pos", "Real.Wallis.le_W", "Real.Wallis.tendsto_W_nhds_pi_div_two", "Real.abs_cos_eq_sqrt_one_sub_sin_sq", "Real.abs_cos_le_one", "Real.abs_exp", "Real.abs_exp_sub_one_le", "Real.abs_exp_sub_one_sub_id_le", "Real.abs_le_sqrt", "Real.abs_log_mul_self_lt", "Real.abs_log_mul_self_rpow_lt", "Real.abs_log_sub_add_sum_range_le", "Real.abs_rpow_le_abs_rpow", "Real.abs_rpow_le_exp_log_mul", "Real.abs_rpow_of_nonneg", "Real.abs_sin_eq_sqrt_one_sub_cos_sq", "Real.abs_sin_half", "Real.abs_sin_le_one", "Real.abs_sinh", "Real.add_neg_lt_sSup", "Real.add_one_le_exp", "Real.add_one_le_exp_of_nonneg", "Real.add_one_lt_exp", "Real.add_one_lt_exp_of_pos", "Real.aemeasurable_of_aemeasurable_exp", "Real.antitone_rpow_of_base_le_one", "Real.arccos_cos", "Real.arccos_eq_arctan", "Real.arccos_eq_of_eq_cos", "Real.arccos_eq_pi", "Real.arccos_eq_pi_div_two", "Real.arccos_eq_pi_div_two_sub_arcsin", "Real.arccos_eq_zero", "Real.arccos_inj", "Real.arccos_injOn", "Real.arccos_le_pi", "Real.arccos_le_pi_div_four", "Real.arccos_lt_pi_div_two", "Real.arccos_neg", "Real.arccos_neg_one", "Real.arccos_nonneg", "Real.arccos_of_le_neg_one", "Real.arccos_of_one_le", "Real.arccos_one", "Real.arccos_pos", "Real.arccos_zero", "Real.arcsin_eq_arccos", "Real.arcsin_eq_arctan", "Real.arcsin_eq_iff_eq_sin", "Real.arcsin_eq_neg_pi_div_two", "Real.arcsin_eq_of_sin_eq", "Real.arcsin_eq_pi_div_two", "Real.arcsin_eq_zero_iff", "Real.arcsin_inj", "Real.arcsin_le_iff_le_sin", "Real.arcsin_le_iff_le_sin'", "Real.arcsin_lt_iff_lt_sin", "Real.arcsin_lt_pi_div_two", "Real.arcsin_lt_zero", "Real.arcsin_mem_Icc", "Real.arcsin_neg", "Real.arcsin_nonneg", "Real.arcsin_nonpos", "Real.arcsin_of_le_neg_one", "Real.arcsin_of_one_le", "Real.arcsin_one", "Real.arcsin_projIcc", "Real.arcsin_sin", "Real.arcsin_sin'", "Real.arctan_add", "Real.arctan_add_arctan_lt_pi_div_two", "Real.arctan_add_eq_add_pi", "Real.arctan_add_eq_sub_pi", "Real.arctan_eq_arccos", "Real.arctan_eq_arcsin", "Real.arctan_eq_of_tan_eq", "Real.arctan_eq_zero_iff", "Real.arctan_inv_of_neg", "Real.arctan_inv_of_pos", "Real.arctan_lt_pi_div_two", "Real.arctan_ne_mul_pi_div_two", "Real.arctan_neg", "Real.arctan_one", "Real.arctan_strictMono", "Real.arctan_tan", "Real.arith_mean_le_rpow_mean", "Real.arith_mean_weighted_of_constant", "Real.arsinh_bijective", "Real.arsinh_inj", "Real.arsinh_injective", "Real.arsinh_le_arsinh", "Real.arsinh_lt_arsinh", "Real.arsinh_neg", "Real.arsinh_neg_iff", "Real.arsinh_nonneg_iff", "Real.arsinh_nonpos_iff", "Real.arsinh_strictMono", "Real.arsinh_zero", "Real.aux\u2081", "Real.aux\u2082", "Real.aux\u2083", "Real.b_ne_one'", "Real.ball_eq_Ioo", "Real.bijOn_cos", "Real.bijOn_sin", "Real.borel_eq_generateFrom_Ici_rat", "Real.borel_eq_generateFrom_Iic_rat", "Real.borel_eq_generateFrom_Iio_rat", "Real.borel_eq_generateFrom_Ioi_rat", "Real.cast_natAbs_eq_nnabs_cast", "Real.cauSeq_converges", "Real.cauchy_add", "Real.cauchy_intCast", "Real.cauchy_mul", "Real.cauchy_neg", "Real.cauchy_nnratCast", "Real.cauchy_ratCast", "Real.cauchy_sub", "Real.cauchy_zero", "Real.ceil_logb_natCast", "Real.ciInf_const_zero", "Real.ciSup_const_zero", "Real.closedBall_eq_Icc", "Real.cobounded_eq", "Real.coe_comp_expOrderIso", "Real.coe_expOrderIso_apply", "Real.coe_fib_eq", "Real.coe_fib_eq'", "Real.coe_sqrt", "Real.coe_tanPartialHomeomorph_symm", "Real.coe_toNNReal", "Real.coe_toNNReal'", "Real.coe_toNNReal_le", "Real.comap_exp_atTop", "Real.comap_exp_nhdsWithin_Ioi_zero", "Real.comap_exp_nhds_exp", "Real.comap_exp_nhds_zero", "Real.comap_toNNReal_atTop", "Real.concaveOn_negMulLog", "Real.concaveOn_rpow", "Real.contDiffAt_arccos", "Real.contDiffAt_arccos_iff", "Real.contDiffAt_arcsin", "Real.contDiffAt_arcsin_iff", "Real.contDiffAt_log", "Real.contDiffAt_rpow_const", "Real.contDiffAt_rpow_const_of_le", "Real.contDiffAt_rpow_of_ne", "Real.contDiffAt_sqrt", "Real.contDiffAt_tan", "Real.contDiffOn_arcsin", "Real.contDiffOn_log", "Real.contDiff_arctan", "Real.contDiff_cos", "Real.contDiff_cosh", "Real.contDiff_rpow_const_of_le", "Real.contDiff_sin", "Real.contDiff_sinh", "Real.continued_fraction_convergent_eq_convergent", "Real.continuousAt_const_rpow", "Real.continuousAt_const_rpow'", "Real.continuousAt_log", "Real.continuousAt_log_iff", "Real.continuousAt_rpow", "Real.continuousAt_rpow_const", "Real.continuousAt_rpow_of_ne", "Real.continuousAt_rpow_of_pos", "Real.continuousAt_tan", "Real.continuousOn_log", "Real.continuousOn_tan", "Real.continuousOn_tan_Ioo", "Real.continuous_arccos", "Real.continuous_arcsin", "Real.continuous_arctan", "Real.continuous_arsinh", "Real.continuous_cos", "Real.continuous_cosh", "Real.continuous_fourierChar", "Real.continuous_inv", "Real.continuous_log", "Real.continuous_log'", "Real.continuous_mul_log", "Real.continuous_negMulLog", "Real.continuous_rpow_const", "Real.continuous_sin", "Real.continuous_sinh", "Real.continuous_sqrt", "Real.continuous_tan", "Real.convergent_of_int", "Real.convergent_of_zero", "Real.convergent_succ", "Real.convexOn_Gamma", "Real.convexOn_log_Gamma", "Real.cos_abs", "Real.cos_add", "Real.cos_add_int_mul_pi", "Real.cos_add_int_mul_two_pi", "Real.cos_add_nat_mul_pi", "Real.cos_add_nat_mul_two_pi", "Real.cos_add_pi", "Real.cos_add_two_pi", "Real.cos_antiperiodic", "Real.cos_arccos", "Real.cos_arcsin", "Real.cos_arcsin_nonneg", "Real.cos_arctan", "Real.cos_arctan_pos", "Real.cos_bound", "Real.cos_eq_neg_one_iff", "Real.cos_eq_one_iff", "Real.cos_eq_one_iff_of_lt_of_lt", "Real.cos_eq_sqrt_one_sub_sin_sq", "Real.cos_eq_zero_iff", "Real.cos_half", "Real.cos_int_mul_pi_sub", "Real.cos_int_mul_two_pi", "Real.cos_int_mul_two_pi_add_pi", "Real.cos_int_mul_two_pi_sub", "Real.cos_int_mul_two_pi_sub_pi", "Real.cos_le_cos_of_nonneg_of_le_pi", "Real.cos_le_one", "Real.cos_le_one_div_sqrt_sq_add_one", "Real.cos_lt_cos_of_nonneg_of_le_pi", "Real.cos_lt_one_div_sqrt_sq_add_one", "Real.cos_mem_Icc", "Real.cos_nat_mul_two_pi_sub", "Real.cos_nat_mul_two_pi_sub_pi", "Real.cos_ne_zero_iff", "Real.cos_neg", "Real.cos_neg_of_pi_div_two_lt_of_lt", "Real.cos_nonneg_of_neg_pi_div_two_le_of_le", "Real.cos_one_le", "Real.cos_one_pos", "Real.cos_pi", "Real.cos_pi_div_eight", "Real.cos_pi_div_four", "Real.cos_pi_div_six", "Real.cos_pi_div_sixteen", "Real.cos_pi_div_thirty_two", "Real.cos_pi_div_three", "Real.cos_pi_div_two", "Real.cos_pi_div_two_sub", "Real.cos_pi_over_two_pow", "Real.cos_pi_sub", "Real.cos_pos_of_le_one", "Real.cos_pos_of_mem_Ioo", "Real.cos_quadratic_upper_bound", "Real.cos_sq", "Real.cos_sq'", "Real.cos_sq_arctan", "Real.cos_sq_le_one", "Real.cos_sub", "Real.cos_sub_cos", "Real.cos_sub_int_mul_two_pi", "Real.cos_sub_nat_mul_pi", "Real.cos_sub_nat_mul_two_pi", "Real.cos_sub_pi_div_two", "Real.cos_three_mul", "Real.cos_two_mul'", "Real.cos_two_pi", "Real.cos_zero", "Real.cosh_abs", "Real.cosh_add", "Real.cosh_add_sinh", "Real.cosh_arsinh", "Real.cosh_eq", "Real.cosh_eq_tsum", "Real.cosh_le_exp_half_sq", "Real.cosh_log", "Real.cosh_sq", "Real.cosh_sq_sub_sinh_sq", "Real.cosh_strictMonoOn", "Real.cosh_sub", "Real.cosh_sub_sinh", "Real.cosh_two_mul", "Real.deriv2_mul_log", "Real.deriv2_negMulLog", "Real.deriv_Gamma_nat", "Real.deriv_arccos", "Real.deriv_arcsin", "Real.deriv_arcsin_aux", "Real.deriv_arctan", "Real.deriv_cos'", "Real.deriv_cosh", "Real.deriv_exp", "Real.deriv_fourierChar", "Real.deriv_log", "Real.deriv_log'", "Real.deriv_mul_log", "Real.deriv_negMulLog", "Real.deriv_sinh", "Real.deriv_sqrt_aux", "Real.deriv_tan", "Real.deriv_tan_sub_id", "Real.diam_Icc", "Real.diam_Ico", "Real.diam_Ioc", "Real.diam_Ioo", "Real.diam_eq", "Real.differentiableAt_Gamma", "Real.differentiableAt_arccos", "Real.differentiableAt_arcsin", "Real.differentiableAt_exp", "Real.differentiableAt_log", "Real.differentiableAt_rpow_const_of_ne", "Real.differentiableAt_sinh", "Real.differentiableAt_tan", "Real.differentiableAt_tan_of_mem_Ioo", "Real.differentiableOn_arcsin", "Real.differentiableOn_mul_log", "Real.differentiableOn_negMulLog", "Real.differentiableOn_rpow_const", "Real.differentiableWithinAt_arccos_Ici", "Real.differentiableWithinAt_arcsin_Ici", "Real.differentiableWithinAt_arcsin_Iic", "Real.differentiable_arctan", "Real.differentiable_arsinh", "Real.differentiable_cos", "Real.differentiable_cosh", "Real.differentiable_exp", "Real.differentiable_fourierChar", "Real.differentiable_fourierChar_neg_bilinear_left", "Real.differentiable_fourierIntegral", "Real.differentiable_rpow_const", "Real.differentiable_sin", "Real.differentiable_sinh", "Real.dimH_ball_pi", "Real.dimH_ball_pi_fin", "Real.dimH_of_mem_nhds", "Real.dimH_of_nonempty_interior", "Real.dimH_univ", "Real.dimH_univ_pi", "Real.dimH_univ_pi_fin", "Real.disjoint_residual_ae", "Real.dist_0_eq_abs", "Real.dist_eq", "Real.dist_le_of_mem_Icc", "Real.dist_le_of_mem_Icc_01", "Real.dist_le_of_mem_pi_Icc", "Real.dist_le_of_mem_uIcc", "Real.dist_left_le_of_mem_uIcc", "Real.dist_right_le_of_mem_uIcc", "Real.div_logb", "Real.div_rpow", "Real.div_sqrt", "Real.doublingGamma_add_one", "Real.doublingGamma_eq_Gamma", "Real.doublingGamma_log_convex_Ioi", "Real.doublingGamma_one", "Real.ediam_Icc", "Real.ediam_Ioc", "Real.ediam_Ioo", "Real.ediam_eq", "Real.ennnorm_eq_ofReal", "Real.ennnorm_eq_ofReal_abs", "Real.eq_Gamma_of_log_convex", "Real.eq_one_of_pos_of_log_eq_zero", "Real.eq_one_of_pos_of_logb_eq_zero", "Real.eq_one_of_pos_of_logb_eq_zero_of_base_lt_one", "Real.eq_rpow_inv", "Real.eq_zero_rpow_iff", "Real.eulerMascheroniConstant_eq_neg_deriv", "Real.eulerMascheroniConstant_lt_eulerMascheroniSeq'", "Real.eulerMascheroniConstant_lt_two_thirds", "Real.eulerMascheroniSeq'_one", "Real.eulerMascheroniSeq'_six_lt_two_thirds", "Real.eulerMascheroniSeq_lt_eulerMascheroniConstant", "Real.eulerMascheroniSeq_lt_eulerMascheroniSeq'", "Real.eulerMascheroniSeq_zero", "Real.exists_continued_fraction_convergent_eq_rat", "Real.exists_extension_norm_eq", "Real.exists_int_int_abs_mul_sub_le", "Real.exists_isGLB", "Real.exists_isLUB", "Real.exists_lt_of_strictMono", "Real.exists_nat_abs_mul_sub_round_le", "Real.exists_rat_abs_sub_le_and_den_le", "Real.exists_rat_abs_sub_lt_and_lt_of_irrational", "Real.exists_rat_eq_convergent", "Real.exists_rat_eq_convergent'", "Real.exists_rat_pow_btwn", "Real.exists_rat_pow_btwn_rat", "Real.exists_rat_pow_btwn_rat_aux", "Real.expNear_sub", "Real.expNear_succ", "Real.exp_1_approx_succ_eq", "Real.exp_abs_le", "Real.exp_add", "Real.exp_approx_end", "Real.exp_approx_end'", "Real.exp_approx_start", "Real.exp_approx_succ", "Real.exp_arsinh", "Real.exp_bound", "Real.exp_bound'", "Real.exp_bound_div_one_sub_of_interval", "Real.exp_bound_div_one_sub_of_interval'", "Real.exp_eq_exp", "Real.exp_eq_exp_\u211d", "Real.exp_eq_one_iff", "Real.exp_half", "Real.exp_injective", "Real.exp_le_exp", "Real.exp_le_one_iff", "Real.exp_log", "Real.exp_log_eq_abs", "Real.exp_log_of_neg", "Real.exp_lt_exp", "Real.exp_lt_exp_of_lt", "Real.exp_lt_one_iff", "Real.exp_monotone", "Real.exp_mul", "Real.exp_mul_le_cosh_add_mul_sinh", "Real.exp_multiset_sum", "Real.exp_nat_mul", "Real.exp_ne_zero", "Real.exp_neg", "Real.exp_neg_one_gt_d9", "Real.exp_neg_one_lt_d9", "Real.exp_nonneg", "Real.exp_one_gt_d9", "Real.exp_one_lt_d9", "Real.exp_one_near_10", "Real.exp_one_near_20", "Real.exp_one_pow", "Real.exp_one_rpow", "Real.exp_pos", "Real.exp_strictMono", "Real.exp_sub", "Real.exp_sub_sinh", "Real.exp_sub_sum_range_isBigO_pow", "Real.exp_sub_sum_range_succ_isLittleO_pow", "Real.exp_zero", "Real.ext_cauchy_iff", "Real.fderiv_fourierChar_neg_bilinear_left_apply", "Real.fderiv_fourierChar_neg_bilinear_right_apply", "Real.finset_prod_rpow", "Real.floor_logb_natCast", "Real.floor_real_sqrt_eq_nat_sqrt", "Real.fourierChar_apply", "Real.fourierCoeff_tsum_comp_add", "Real.fourierIntegralInv_comp_linearIsometry", "Real.fourierIntegralInv_eq", "Real.fourierIntegralInv_eq'", "Real.fourierIntegralInv_eq_fourierIntegral_comp_neg", "Real.fourierIntegralInv_eq_fourierIntegral_neg", "Real.fourierIntegral_comp_linearIsometry", "Real.fourierIntegral_continuousLinearMap_apply", "Real.fourierIntegral_continuousLinearMap_apply'", "Real.fourierIntegral_continuousMultilinearMap_apply", "Real.fourierIntegral_continuousMultilinearMap_apply'", "Real.fourierIntegral_deriv", "Real.fourierIntegral_eq", "Real.fourierIntegral_eq'", "Real.fourierIntegral_fderiv", "Real.fourierIntegral_iteratedDeriv", "Real.fourierIntegral_iteratedFDeriv", "Real.fourierIntegral_real_eq", "Real.fourierIntegral_real_eq_integral_exp_smul", "Real.geom_mean_eq_arith_mean_weighted_of_constant", "Real.geom_mean_le_arith_mean", "Real.geom_mean_le_arith_mean4_weighted", "Real.geom_mean_le_arith_mean_weighted", "Real.geom_mean_weighted_of_constant", "Real.harm_mean_le_geom_mean", "Real.harm_mean_le_geom_mean_weighted", "Real.hasDerivAt_Gamma_one", "Real.hasDerivAt_Gamma_one_half", "Real.hasDerivAt_arccos", "Real.hasDerivAt_arctan", "Real.hasDerivAt_cos", "Real.hasDerivAt_exp", "Real.hasDerivAt_fourierChar", "Real.hasDerivAt_fourierIntegral", "Real.hasDerivAt_log", "Real.hasDerivAt_mul_log", "Real.hasDerivAt_negMulLog", "Real.hasDerivAt_rpow_const", "Real.hasDerivAt_sin", "Real.hasDerivAt_sinh", "Real.hasDerivAt_sqrt", "Real.hasDerivAt_tan", "Real.hasDerivAt_tan_of_mem_Ioo", "Real.hasDerivWithinAt_arccos_Iic", "Real.hasDerivWithinAt_arcsin_Ici", "Real.hasDerivWithinAt_arcsin_Iic", "Real.hasFDerivAt_fourierChar_neg_bilinear_left", "Real.hasFDerivAt_fourierChar_neg_bilinear_right", "Real.hasFDerivAt_fourierIntegral", "Real.hasPDF_iff", "Real.hasPDF_iff_of_aemeasurable", "Real.hasStrictDerivAt_arccos", "Real.hasStrictDerivAt_arcsin", "Real.hasStrictDerivAt_arctan", "Real.hasStrictDerivAt_arsinh", "Real.hasStrictDerivAt_const_rpow", "Real.hasStrictDerivAt_const_rpow_of_neg", "Real.hasStrictDerivAt_cos", "Real.hasStrictDerivAt_log", "Real.hasStrictDerivAt_log_of_pos", "Real.hasStrictDerivAt_rpow_const", "Real.hasStrictDerivAt_rpow_const_of_ne", "Real.hasStrictDerivAt_sin", "Real.hasStrictDerivAt_sinh", "Real.hasStrictDerivAt_tan", "Real.hasStrictFDerivAt_rpow_of_neg", "Real.hasStrictFDerivAt_rpow_of_pos", "Real.hasSum_cos", "Real.hasSum_cosh", "Real.hasSum_log_one_add_inv", "Real.hasSum_log_sub_log_of_abs_lt_one", "Real.hasSum_pow_div_log_of_abs_lt_one", "Real.hausdorffMeasure_of_finrank_lt", "Real.iInf_Ioi_eq_iInf_rat_gt", "Real.iInf_mul_of_nonpos", "Real.iInf_nonneg", "Real.iInf_of_isEmpty", "Real.iInf_of_not_bddBelow", "Real.iInter_Iic_rat", "Real.iSup_le", "Real.iSup_mul_of_nonneg", "Real.iSup_mul_of_nonpos", "Real.iSup_of_isEmpty", "Real.iUnion_Iic_rat", "Real.image_tan_Ioo", "Real.ind_mk", "Real.induction_Ico_mul", "Real.infinite_rat_abs_sub_lt_one_div_den_sq_iff_irrational", "Real.infinite_rat_abs_sub_lt_one_div_den_sq_of_irrational", "Real.injOn_cos", "Real.inner_le_Lp_mul_Lq", "Real.inner_le_Lp_mul_Lq_hasSum_of_nonneg", "Real.inner_le_Lp_mul_Lq_of_nonneg", "Real.inner_le_Lp_mul_Lq_tsum_of_nonneg", "Real.inner_le_Lp_mul_Lq_tsum_of_nonneg'", "Real.integrable_of_summable_norm_Icc", "Real.integral_rpow_mul_exp_neg_mul_Ioi", "Real.inv_logb", "Real.inv_logb_mul_base", "Real.inv_one_add_tan_sq", "Real.inv_rpow", "Real.inv_sign", "Real.inv_sqrt_one_add_tan_sq", "Real.invariant", "Real.isBigO_exp_comp_exp_comp", "Real.isBigO_exp_comp_one", "Real.isBigO_one_exp_comp", "Real.isBoundedUnder_le_exp_comp", "Real.isCauSeq_iff_lift", "Real.isLUB_sSup", "Real.isLittleO_const_log_atTop", "Real.isLittleO_exp_comp_exp_comp", "Real.isLittleO_one_exp_comp", "Real.isLittleO_pow_exp_atTop", "Real.isLittleO_pow_log_id_atTop", "Real.isPiSystem_Ici_rat", "Real.isPiSystem_Iic_rat", "Real.isPiSystem_Iio_rat", "Real.isPiSystem_Ioi_rat", "Real.isPiSystem_Ioo_rat", "Real.isTheta_exp_comp_exp_comp", "Real.isTheta_exp_comp_one", "Real.isTopologicalBasis_Ioo_rat", "Real.is_glb_sInf", "Real.iter_deriv_exp", "Real.iteratedDeriv_fourierIntegral", "Real.le_arcsin_iff_sin_le", "Real.le_arcsin_iff_sin_le'", "Real.le_coe_toNNReal", "Real.le_exp_log", "Real.le_log_iff_exp_le", "Real.le_logb_iff_rpow_le", "Real.le_logb_iff_rpow_le_of_base_lt_one", "Real.le_mk_of_forall_le", "Real.le_rpow_add", "Real.le_rpow_iff_log_le", "Real.le_rpow_inv_iff_of_neg", "Real.le_rpow_inv_iff_of_pos", "Real.le_rpow_of_log_le", "Real.le_sSup_iff", "Real.le_sin", "Real.le_sin_mul", "Real.le_sqrt", "Real.le_sqrt_of_sq_le", "Real.le_tan", "Real.le_toNNReal_iff_coe_le", "Real.le_toNNReal_iff_coe_le'", "Real.lipschitzWith_toNNReal", "Real.list_prod_map_rpow", "Real.list_prod_map_rpow'", "Real.log_abs", "Real.log_b_ne_zero", "Real.log_div", "Real.log_div_log", "Real.log_div_self_antitoneOn", "Real.log_div_self_rpow_antitoneOn", "Real.log_div_sqrt_antitoneOn", "Real.log_doublingGamma_eq", "Real.log_eq_zero", "Real.log_exp", "Real.log_injOn_pos", "Real.log_intCast_nonneg", "Real.log_inv", "Real.log_le_log", "Real.log_le_log_iff", "Real.log_le_rpow_div", "Real.log_le_sub_one_of_pos", "Real.log_lt_iff_lt_exp", "Real.log_lt_log", "Real.log_lt_log_iff", "Real.log_lt_sub_one_of_pos", "Real.log_mul", "Real.log_mul_self_monotoneOn", "Real.log_natCast_le_rpow_div", "Real.log_natCast_nonneg", "Real.log_nat_eq_sum_factorization", "Real.log_ne_zero_of_pos_of_ne_one", "Real.log_neg", "Real.log_neg_eq_log", "Real.log_neg_iff", "Real.log_neg_natCast_nonneg", "Real.log_neg_of_lt_zero", "Real.log_nonneg", "Real.log_nonneg_iff", "Real.log_nonpos", "Real.log_nonpos_iff", "Real.log_nonpos_iff'", "Real.log_one", "Real.log_pos", "Real.log_pos_iff", "Real.log_pos_of_lt_neg_one", "Real.log_pow", "Real.log_prod", "Real.log_rpow", "Real.log_sqrt", "Real.log_two_near_10", "Real.log_zero", "Real.log_zpow", "Real.logb_abs", "Real.logb_div", "Real.logb_div_base", "Real.logb_eq_iff_rpow_eq", "Real.logb_eq_zero", "Real.logb_injOn_pos_of_base_lt_one", "Real.logb_inv", "Real.logb_le_iff_le_rpow", "Real.logb_le_iff_le_rpow_of_base_lt_one", "Real.logb_le_logb", "Real.logb_le_logb_of_base_lt_one", "Real.logb_lt_iff_lt_rpow", "Real.logb_lt_iff_lt_rpow_of_base_lt_one", "Real.logb_lt_logb", "Real.logb_lt_logb_iff", "Real.logb_lt_logb_iff_of_base_lt_one", "Real.logb_lt_logb_of_base_lt_one", "Real.logb_mul", "Real.logb_mul_base", "Real.logb_ne_zero_of_pos_of_ne_one", "Real.logb_neg", "Real.logb_neg_iff", "Real.logb_neg_iff_of_base_lt_one", "Real.logb_neg_of_base_lt_one", "Real.logb_nonneg", "Real.logb_nonneg_iff", "Real.logb_nonneg_iff_of_base_lt_one", "Real.logb_nonpos", "Real.logb_nonpos_iff", "Real.logb_nonpos_iff'", "Real.logb_one", "Real.logb_pos", "Real.logb_pos_iff", "Real.logb_pos_iff_of_base_lt_one", "Real.logb_pos_of_base_lt_one", "Real.logb_pow", "Real.logb_prod", "Real.logb_rpow", "Real.logb_rpow_eq_mul_logb_of_pos", "Real.logb_self_eq_one_iff", "Real.logb_zero", "Real.lt_arcsin_iff_sin_lt", "Real.lt_cauchy", "Real.lt_log_iff_exp_lt", "Real.lt_logb_iff_rpow_lt", "Real.lt_logb_iff_rpow_lt_of_base_lt_one", "Real.lt_rpow_iff_log_lt", "Real.lt_rpow_inv_iff_of_neg", "Real.lt_rpow_inv_iff_of_pos", "Real.lt_rpow_of_log_lt", "Real.lt_sInf_add_pos", "Real.lt_sin", "Real.lt_sin_mul", "Real.lt_sq_of_sqrt_lt", "Real.lt_sqrt", "Real.lt_tan", "Real.lt_toNNReal_iff_coe_lt", "Real.map_exp_atBot", "Real.map_exp_atTop", "Real.map_exp_nhds", "Real.map_linearMap_volume_pi_eq_smul_volume_pi", "Real.map_matrix_volume_pi_eq_smul_volume_pi", "Real.map_toNNReal_atTop", "Real.map_volume_mul_left", "Real.map_volume_mul_right", "Real.mapsTo_cos", "Real.mapsTo_sin", "Real.mapsTo_sin_Ioo", "Real.measurable_arctan", "Real.measurable_cos", "Real.measurable_cosh", "Real.measurable_exp", "Real.measurable_of_measurable_exp", "Real.measurable_sinh", "Real.measure_ext_Ioo_rat", "Real.mem_closure_iff", "Real.mk_add", "Real.mk_eq", "Real.mk_inf", "Real.mk_le_of_forall_le", "Real.mk_lt", "Real.mk_mul", "Real.mk_neg", "Real.mk_one", "Real.mk_pos", "Real.monotone_arcsin", "Real.monotone_rpow_of_base_ge_one", "Real.mul_iInf_of_nonpos", "Real.mul_le_sin", "Real.mul_log_eq_log_iff", "Real.mul_log_nonneg", "Real.mul_log_nonpos", "Real.mul_logb", "Real.mul_lt_sin", "Real.mul_pos", "Real.mul_rpow", "Real.mul_self_sqrt", "Real.multiset_prod_map_rpow", "Real.natCast_lt_toNNReal", "Real.natCastle_toNNReal'", "Real.nat_sqrt_le_real_sqrt", "Real.negMulLog_def", "Real.negMulLog_eq_neg", "Real.negMulLog_mul", "Real.negMulLog_nonneg", "Real.negMulLog_one", "Real.neg_one_le_cos", "Real.neg_one_le_sin", "Real.neg_pi_div_two_eq_arcsin", "Real.neg_sqrt_le_of_sq_le", "Real.nnabs_coe", "Real.nnabs_of_nonneg", "Real.nndist_eq", "Real.nndist_eq'", "Real.nnnorm_abs", "Real.nnnorm_mul_toNNReal", "Real.nnnorm_natCast", "Real.nnnorm_of_nonneg", "Real.norm_eq_abs", "Real.norm_of_nonneg", "Real.norm_rpow_of_nonneg", "Real.not_bddAbove_coe", "Real.not_bddBelow_coe", "Real.not_summable_indicator_one_div_natCast", "Real.not_summable_natCast_inv", "Real.ofCauchy_add", "Real.ofCauchy_div", "Real.ofCauchy_inf", "Real.ofCauchy_intCast", "Real.ofCauchy_inv", "Real.ofCauchy_mul", "Real.ofCauchy_natCast", "Real.ofCauchy_neg", "Real.ofCauchy_nnratCast", "Real.ofCauchy_ratCast", "Real.ofCauchy_sub", "Real.ofCauchy_sup", "Real.ofCauchy_zero", "Real.ofNat_le_toNNReal", "Real.ofNat_lt_toNNReal", "Real.ofReal_le_ennnorm", "Real.of_near", "Real.one_half_lt_eulerMascheroniConstant", "Real.one_half_lt_eulerMascheroniSeq_six", "Real.one_le_cosh", "Real.one_le_exp_iff", "Real.one_le_pi_div_two", "Real.one_le_rpow", "Real.one_le_rpow_of_pos_of_le_one_of_nonpos", "Real.one_le_sqrt", "Real.one_le_toNNReal", "Real.one_lt_cosh", "Real.one_lt_exp_iff", "Real.one_lt_rpow", "Real.one_lt_rpow_iff", "Real.one_lt_rpow_iff_of_pos", "Real.one_lt_rpow_of_pos_of_lt_one_of_neg", "Real.one_lt_toNNReal", "Real.one_rpow", "Real.one_sub_div_pow_le_exp_neg", "Real.one_sub_le_exp_neg", "Real.one_sub_sq_div_two_le_cos", "Real.one_sub_two_div_pi_mul_le_cos", "Real.openEmbedding_exp", "Real.pi_div_two_eq_arcsin", "Real.pi_div_two_le_two", "Real.pi_gt_3141592", "Real.pi_gt_sqrtTwoAddSeries", "Real.pi_le_four", "Real.pi_lower_bound_start", "Real.pi_lt_3141593", "Real.pi_lt_31416", "Real.pi_lt_sqrtTwoAddSeries", "Real.pi_ne_zero", "Real.pi_pos", "Real.pi_upper_bound_start", "Real.pow_arith_mean_le_arith_mean_pow", "Real.pow_mul_norm_iteratedFDeriv_fourierIntegral_le", "Real.pow_rpow_inv_natCast", "Real.pow_sum_div_card_le_sum_pow", "Real.quadratic_le_exp_of_nonneg", "Real.range_arcsin", "Real.range_arctan", "Real.range_cos", "Real.range_cos_infinite", "Real.range_exp", "Real.range_log", "Real.range_logb", "Real.rank_rat_real", "Real.ratCast_lt", "Real.real_sqrt_le_nat_sqrt_succ", "Real.real_sqrt_lt_nat_sqrt_succ", "Real.rpow_add", "Real.rpow_add'", "Real.rpow_add_int", "Real.rpow_add_int'", "Real.rpow_add_nat", "Real.rpow_add_of_nonneg", "Real.rpow_add_one'", "Real.rpow_def", "Real.rpow_def_of_neg", "Real.rpow_def_of_nonneg", "Real.rpow_def_of_nonpos", "Real.rpow_def_of_pos", "Real.rpow_div_two_eq_sqrt", "Real.rpow_eq_nhds_of_neg", "Real.rpow_eq_nhds_of_pos", "Real.rpow_eq_pow", "Real.rpow_eq_zero_iff_of_nonneg", "Real.rpow_intCast", "Real.rpow_intCast_mul", "Real.rpow_inv_eq", "Real.rpow_inv_le_iff_of_neg", "Real.rpow_inv_le_iff_of_pos", "Real.rpow_inv_lt_iff_of_neg", "Real.rpow_inv_lt_iff_of_pos", "Real.rpow_inv_natCast_pow", "Real.rpow_inv_rpow", "Real.rpow_le_one", "Real.rpow_le_one_iff_of_pos", "Real.rpow_le_one_of_one_le_of_nonpos", "Real.rpow_le_rpow", "Real.rpow_le_rpow_iff", "Real.rpow_le_rpow_iff_of_neg", "Real.rpow_le_rpow_left_iff", "Real.rpow_le_rpow_left_iff_of_base_lt_one", "Real.rpow_le_rpow_of_exponent_ge", "Real.rpow_le_rpow_of_exponent_ge'", "Real.rpow_le_rpow_of_exponent_le", "Real.rpow_le_rpow_of_exponent_nonpos", "Real.rpow_le_rpow_of_nonpos", "Real.rpow_left_inj", "Real.rpow_left_injOn", "Real.rpow_logb", "Real.rpow_logb_eq_abs", "Real.rpow_logb_of_neg", "Real.rpow_lt_one_iff", "Real.rpow_lt_one_iff'", "Real.rpow_lt_one_iff_of_pos", "Real.rpow_lt_one_of_one_lt_of_neg", "Real.rpow_lt_rpow", "Real.rpow_lt_rpow_iff_of_neg", "Real.rpow_lt_rpow_left_iff", "Real.rpow_lt_rpow_left_iff_of_base_lt_one", "Real.rpow_lt_rpow_of_exponent_gt", "Real.rpow_lt_rpow_of_exponent_lt", "Real.rpow_lt_rpow_of_exponent_neg", "Real.rpow_lt_rpow_of_neg", "Real.rpow_mul", "Real.rpow_mul_intCast", "Real.rpow_mul_natCast", "Real.rpow_natCast", "Real.rpow_natCast_mul", "Real.rpow_ne_zero", "Real.rpow_neg", "Real.rpow_neg_one", "Real.rpow_nonneg", "Real.rpow_of_add_eq", "Real.rpow_one", "Real.rpow_one_add'", "Real.rpow_one_sub'", "Real.rpow_pos_of_pos", "Real.rpow_rpow_inv", "Real.rpow_sub", "Real.rpow_sub'", "Real.rpow_sub_int", "Real.rpow_sub_int'", "Real.rpow_sub_nat'", "Real.rpow_sub_one", "Real.rpow_sub_one'", "Real.rpow_sum_le_const_mul_sum_rpow", "Real.rpow_sum_le_const_mul_sum_rpow_of_nonneg", "Real.rpow_sum_of_nonneg", "Real.rpow_sum_of_pos", "Real.rpow_two", "Real.rpow_zero", "Real.rpow_zero_pos", "Real.sInf_def", "Real.sInf_empty", "Real.sInf_le_iff", "Real.sInf_le_sSup", "Real.sInf_nonneg", "Real.sInf_nonpos", "Real.sInf_of_not_bddBelow", "Real.sInf_smul_of_nonneg", "Real.sInf_smul_of_nonpos", "Real.sSup_def", "Real.sSup_empty", "Real.sSup_le", "Real.sSup_nonneg", "Real.sSup_nonpos", "Real.sSup_of_not_bddAbove", "Real.sSup_smul_of_nonneg", "Real.sSup_smul_of_nonpos", "Real.sSup_univ", "Real.self_le_sinh_iff", "Real.sign_apply_eq", "Real.sign_apply_eq_of_ne_zero", "Real.sign_eq_zero_iff", "Real.sign_intCast", "Real.sign_inv", "Real.sign_mul_nonneg", "Real.sign_mul_pos_of_ne_zero", "Real.sign_neg", "Real.sign_of_neg", "Real.sign_of_pos", "Real.sign_zero", "Real.sinOrderIso_apply", "Real.sin_add", "Real.sin_add_int_mul_pi", "Real.sin_add_int_mul_two_pi", "Real.sin_add_pi", "Real.sin_add_pi_div_two", "Real.sin_antiperiodic", "Real.sin_arccos", "Real.sin_arcsin", "Real.sin_arcsin'", "Real.sin_arctan", "Real.sin_bound", "Real.sin_eq_neg_one_iff", "Real.sin_eq_one_iff", "Real.sin_eq_sin_iff", "Real.sin_eq_sqrt_one_sub_cos_sq", "Real.sin_eq_tsum", "Real.sin_eq_zero_iff", "Real.sin_eq_zero_iff_cos_eq", "Real.sin_eq_zero_iff_of_lt_of_lt", "Real.sin_gt_sub_cube", "Real.sin_half_eq_neg_sqrt", "Real.sin_half_eq_sqrt", "Real.sin_int_mul_pi_sub", "Real.sin_int_mul_two_pi_sub", "Real.sin_le", "Real.sin_le_one", "Real.sin_le_sin_of_le_of_le_pi_div_two", "Real.sin_le_two_div_pi_mul", "Real.sin_lt", "Real.sin_lt_sin_of_lt_of_le_pi_div_two", "Real.sin_mem_Icc", "Real.sin_nat_mul_pi_sub", "Real.sin_nat_mul_two_pi_sub", "Real.sin_ne_zero_iff", "Real.sin_neg", "Real.sin_neg_of_neg_of_neg_pi_lt", "Real.sin_nonneg_of_mem_Icc", "Real.sin_nonneg_of_nonneg_of_le_pi", "Real.sin_pi", "Real.sin_pi_div_eight", "Real.sin_pi_div_four", "Real.sin_pi_div_six", "Real.sin_pi_div_thirty_two", "Real.sin_pi_div_two", "Real.sin_pi_div_two_sub", "Real.sin_pi_over_two_pow_succ", "Real.sin_pi_sub", "Real.sin_pos_of_mem_Ioo", "Real.sin_pos_of_pos_of_le_one", "Real.sin_pos_of_pos_of_le_two", "Real.sin_pos_of_pos_of_lt_pi", "Real.sin_sq", "Real.sin_sq_add_cos_sq", "Real.sin_sq_eq_half_sub", "Real.sin_sq_le_one", "Real.sin_sq_pi_over_two_pow", "Real.sin_sq_pi_over_two_pow_succ", "Real.sin_sub", "Real.sin_sub_int_mul_pi", "Real.sin_sub_nat_mul_pi", "Real.sin_sub_nat_mul_two_pi", "Real.sin_sub_pi_div_two", "Real.sin_sub_sin", "Real.sin_sub_two_pi", "Real.sin_three_mul", "Real.sin_two_mul", "Real.sin_two_pi", "Real.sin_zero", "Real.sinh_add", "Real.sinh_add_cosh", "Real.sinh_arsinh", "Real.sinh_bijective", "Real.sinh_eq", "Real.sinh_eq_tsum", "Real.sinh_eq_zero", "Real.sinh_injective", "Real.sinh_log", "Real.sinh_lt_cosh", "Real.sinh_lt_self_iff", "Real.sinh_lt_sinh", "Real.sinh_ne_zero", "Real.sinh_neg", "Real.sinh_neg_iff", "Real.sinh_nonneg_iff", "Real.sinh_nonpos_iff", "Real.sinh_pos_iff", "Real.sinh_strictMono", "Real.sinh_sub", "Real.sinh_sub_cosh", "Real.sinh_sub_id_strictMono", "Real.sinh_surjective", "Real.sinh_three_mul", "Real.sinh_zero", "Real.smoothTransition.contDiff", "Real.smoothTransition.contDiffAt", "Real.smoothTransition.continuous", "Real.smoothTransition.continuousAt", "Real.smoothTransition.le_one", "Real.smoothTransition.lt_one_of_lt_one", "Real.smoothTransition.nonneg", "Real.smoothTransition.one", "Real.smoothTransition.one_of_one_le", "Real.smoothTransition.pos_denom", "Real.smoothTransition.projIcc", "Real.smoothTransition.zero_iff_nonpos", "Real.smoothTransition.zero_of_nonpos", "Real.smul_iSup_of_nonneg", "Real.smul_iSup_of_nonpos", "Real.smul_map_diagonal_volume_pi", "Real.smul_map_volume_mul_left", "Real.smul_map_volume_mul_right", "Real.sq_cos_pi_div_six", "Real.sq_le", "Real.sq_lt", "Real.sq_sqrt", "Real.sqrtTwoAddSeries_lt_two", "Real.sqrtTwoAddSeries_monotone_left", "Real.sqrtTwoAddSeries_nonneg", "Real.sqrtTwoAddSeries_one", "Real.sqrtTwoAddSeries_step_down", "Real.sqrtTwoAddSeries_step_up", "Real.sqrtTwoAddSeries_succ", "Real.sqrtTwoAddSeries_two", "Real.sqrt_div", "Real.sqrt_div'", "Real.sqrt_div_self", "Real.sqrt_div_self'", "Real.sqrt_eq_cases", "Real.sqrt_eq_iff_mul_self_eq", "Real.sqrt_eq_iff_sq_eq", "Real.sqrt_eq_one", "Real.sqrt_eq_rpow", "Real.sqrt_eq_zero", "Real.sqrt_eq_zero'", "Real.sqrt_eq_zero_of_nonpos", "Real.sqrt_inj", "Real.sqrt_inv", "Real.sqrt_le_iff", "Real.sqrt_le_left", "Real.sqrt_le_one", "Real.sqrt_le_sqrt", "Real.sqrt_le_sqrt_iff", "Real.sqrt_le_sqrt_iff'", "Real.sqrt_lt", "Real.sqrt_lt'", "Real.sqrt_lt_sqrt", "Real.sqrt_lt_sqrt_iff", "Real.sqrt_lt_sqrt_iff_of_pos", "Real.sqrt_mul", "Real.sqrt_mul'", "Real.sqrt_mul_self", "Real.sqrt_mul_self_eq_abs", "Real.sqrt_ne_zero", "Real.sqrt_ne_zero'", "Real.sqrt_one", "Real.sqrt_pos", "Real.sqrt_sq", "Real.sqrt_sq_eq_abs", "Real.strictAntiOn_log", "Real.strictAntiOn_logb", "Real.strictAntiOn_logb_of_base_lt_one", "Real.strictAntiOn_rpow_Ioi_of_exponent_neg", "Real.strictAnti_eulerMascheroniSeq'", "Real.strictAnti_rpow_of_base_lt_one", "Real.strictConcaveOn_negMulLog", "Real.strictConcaveOn_rpow", "Real.strictConcaveOn_sqrt", "Real.strictConvexOn_mul_log", "Real.strictMonoOn_log", "Real.strictMonoOn_logb_of_base_lt_one", "Real.strictMonoOn_rpow_Ici_of_exponent_pos", "Real.strictMonoOn_sin", "Real.strictMonoOn_tan", "Real.strictMono_eulerMascheroniSeq", "Real.strictMono_rpow_of_base_gt_one", "Real.sub_le_dist", "Real.sum_le_exp_of_nonneg", "Real.sum_sqrt_mul_sqrt_le", "Real.summable_Lp_add_of_nonneg", "Real.summable_abs_int_rpow", "Real.summable_exp_nat_mul_iff", "Real.summable_nat_pow_inv", "Real.summable_nat_rpow", "Real.summable_nat_rpow_inv", "Real.summable_one_div_int_add_rpow", "Real.summable_one_div_int_pow", "Real.summable_one_div_nat_add_rpow", "Real.summable_one_div_nat_pow", "Real.summable_one_div_nat_rpow", "Real.summable_pow_div_factorial", "Real.summable_pow_mul_exp_neg_nat_mul", "Real.surjOn_log", "Real.surjOn_log'", "Real.surjOn_logb", "Real.surjOn_logb'", "Real.surjOn_sin", "Real.surjOn_tan", "Real.tan_add", "Real.tan_add_nat_mul_pi", "Real.tan_add_pi", "Real.tan_arccos", "Real.tan_arcsin", "Real.tan_arctan", "Real.tan_div_sqrt_one_add_tan_sq", "Real.tan_eq_sin_div_cos", "Real.tan_eq_zero_iff", "Real.tan_inj_of_lt_of_lt_pi_div_two", "Real.tan_int_mul_pi", "Real.tan_int_mul_pi_div_two", "Real.tan_lt_tan_of_lt_of_lt_pi_div_two", "Real.tan_mul_cos", "Real.tan_nat_mul_pi", "Real.tan_nat_mul_pi_sub", "Real.tan_ne_zero_iff", "Real.tan_neg", "Real.tan_periodic", "Real.tan_pi", "Real.tan_pi_div_four", "Real.tan_pi_div_six", "Real.tan_pi_div_three", "Real.tan_pi_div_two", "Real.tan_pi_div_two_sub", "Real.tan_pi_sub", "Real.tan_pos_of_pos_of_lt_pi_div_two", "Real.tan_sq_div_one_add_tan_sq", "Real.tan_sub_int_mul_pi", "Real.tan_sub_nat_mul_pi", "Real.tan_zero", "Real.tanh_eq_sinh_div_cosh", "Real.tanh_neg", "Real.tanh_zero", "Real.tendsto_Icc_vitaliFamily_left", "Real.tendsto_Icc_vitaliFamily_right", "Real.tendsto_abs_tan_atTop", "Real.tendsto_abs_tan_of_cos_eq_zero", "Real.tendsto_arctan_atBot", "Real.tendsto_arctan_atTop", "Real.tendsto_comp_exp_atBot", "Real.tendsto_comp_exp_atTop", "Real.tendsto_cos_neg_pi_div_two", "Real.tendsto_cos_pi_div_two", "Real.tendsto_div_pow_mul_exp_add_atTop", "Real.tendsto_eulerMascheroniSeq", "Real.tendsto_eulerMascheroniSeq'", "Real.tendsto_euler_sin_prod", "Real.tendsto_exp_atBot", "Real.tendsto_exp_atBot_nhdsWithin", "Real.tendsto_exp_atTop", "Real.tendsto_exp_comp_atTop", "Real.tendsto_exp_comp_nhds_zero", "Real.tendsto_exp_div_pow_atTop", "Real.tendsto_exp_neg_atTop_nhds_zero", "Real.tendsto_exp_nhds_zero_nhds_one", "Real.tendsto_harmonic_sub_log", "Real.tendsto_integral_cexp_sq_smul", "Real.tendsto_integral_exp_smul_cocompact", "Real.tendsto_integral_gaussian_smul", "Real.tendsto_integral_gaussian_smul'", "Real.tendsto_log_atTop", "Real.tendsto_log_comp_add_sub_log", "Real.tendsto_log_nhdsWithin_zero", "Real.tendsto_logb_atTop_of_base_lt_one", "Real.tendsto_mul_exp_add_div_pow_atTop", "Real.tendsto_mul_log_one_plus_div_atTop", "Real.tendsto_of_bddAbove_monotone", "Real.tendsto_of_bddBelow_antitone", "Real.tendsto_pow_div_factorial_atTop", "Real.tendsto_pow_log_div_mul_add_atTop", "Real.tendsto_pow_mul_exp_neg_atTop_nhds_zero", "Real.tendsto_sin_neg_pi_div_two", "Real.tendsto_sin_pi_div_two", "Real.tendsto_sum_pi_div_four", "Real.tendsto_sum_range_one_div_nat_succ_atTop", "Real.tendsto_tan_neg_pi_div_two", "Real.tendsto_tan_pi_div_two", "Real.tendsto_toNNReal_atTop", "Real.tendsto_toNNReal_atTop_iff", "Real.tendsto_tsum_powerSeries_nhdsWithin_lt", "Real.toNNReal_abs", "Real.toNNReal_add", "Real.toNNReal_add_le", "Real.toNNReal_add_toNNReal", "Real.toNNReal_coe", "Real.toNNReal_div", "Real.toNNReal_div'", "Real.toNNReal_eq_iff_eq_coe", "Real.toNNReal_eq_nnnorm_of_nonneg", "Real.toNNReal_eq_one", "Real.toNNReal_eq_toNNReal_iff", "Real.toNNReal_eq_zero", "Real.toNNReal_inv", "Real.toNNReal_le_iff_le_coe", "Real.toNNReal_le_natCast", "Real.toNNReal_le_toNNReal", "Real.toNNReal_le_toNNReal_iff", "Real.toNNReal_le_toNNReal_iff'", "Real.toNNReal_lt_iff_lt_coe", "Real.toNNReal_lt_natCast", "Real.toNNReal_lt_natCast'", "Real.toNNReal_lt_one", "Real.toNNReal_lt_toNNReal_iff'", "Real.toNNReal_lt_toNNReal_iff_of_nonneg", "Real.toNNReal_mono", "Real.toNNReal_mul", "Real.toNNReal_mul_nnnorm", "Real.toNNReal_ofNat", "Real.toNNReal_of_nonneg", "Real.toNNReal_of_nonpos", "Real.toNNReal_one", "Real.toNNReal_pos", "Real.toNNReal_pow", "Real.toNNReal_prod_of_nonneg", "Real.toNNReal_rpow_of_nonneg", "Real.toNNReal_sum_of_nonneg", "Real.tsum_eq_tsum_fourierIntegral", "Real.tsum_eq_tsum_fourierIntegral_of_rpow_decay", "Real.tsum_exp_neg_mul_int_sq", "Real.tsum_le_of_sum_range_le", "Real.two_div_pi_mul_le_sin", "Real.two_le_pi", "Real.two_mul_arctan", "Real.two_mul_arctan_inv_3_add_arctan_inv_7", "Real.two_mul_arctan_sub_pi", "Real.two_pi_pos", "Real.uniformContinuous_const_mul", "Real.uniformContinuous_inv", "Real.uniformContinuous_neg", "Real.vector_fourierIntegral_eq_integral_exp_smul", "Real.volume_Icc", "Real.volume_Icc_pi", "Real.volume_Icc_pi_toReal", "Real.volume_Ici", "Real.volume_Ico", "Real.volume_Iic", "Real.volume_Iio", "Real.volume_Ioc", "Real.volume_Ioi", "Real.volume_Ioo", "Real.volume_ball", "Real.volume_closedBall", "Real.volume_emetric_ball", "Real.volume_emetric_closedBall", "Real.volume_eq_stieltjes_id", "Real.volume_interval", "Real.volume_le_diam", "Real.volume_pi_Ico", "Real.volume_pi_Ico_toReal", "Real.volume_pi_Ioc", "Real.volume_pi_Ioc_toReal", "Real.volume_pi_Ioo", "Real.volume_pi_Ioo_toReal", "Real.volume_pi_ball", "Real.volume_pi_closedBall", "Real.volume_pi_le_diam_pow", "Real.volume_pi_le_prod_diam", "Real.volume_preimage_mul_right", "Real.volume_preserving_transvectionStruct", "Real.volume_singleton", "Real.volume_val", "Real.young_inequality", "Real.young_inequality_of_nonneg", "Real.zero_at_infty_vector_fourierIntegral", "Real.zero_eq_arcsin_iff", "Real.zero_lt_one", "Real.zero_rpow", "Real.zero_rpow_eq_iff", "Real.zero_rpow_nonneg", "Reflexive.comap", "Reflexive.ne_imp_iff", "RegularExpression.add_rmatch_iff", "RegularExpression.char_rmatch_iff", "RegularExpression.comp_def", "RegularExpression.deriv_char_of_ne", "RegularExpression.deriv_char_self", "RegularExpression.deriv_one", "RegularExpression.deriv_star", "RegularExpression.deriv_zero", "RegularExpression.map_id", "RegularExpression.map_map", "RegularExpression.matches'_add", "RegularExpression.matches'_char", "RegularExpression.matches'_epsilon", "RegularExpression.matches'_map", "RegularExpression.matches'_mul", "RegularExpression.matches'_pow", "RegularExpression.mul_rmatch_iff", "RegularExpression.one_def", "RegularExpression.one_rmatch_iff", "RegularExpression.rmatch_iff_matches'", "RegularExpression.star_rmatch_iff", "RegularExpression.zero_rmatch", "RegularSpace.inf", "RegularSpace.of_lift'_closure", "RegularSpace.t3Space_iff_t0Space", "Rel.abs_edgeDensity_sub_edgeDensity_le_one_sub_mul", "Rel.abs_edgeDensity_sub_edgeDensity_le_two_mul", "Rel.abs_edgeDensity_sub_edgeDensity_le_two_mul_sub_sq", "Rel.card_interedges_add_card_interedges_compl", "Rel.card_interedges_finpartition", "Rel.card_interedges_finpartition_left", "Rel.card_interedges_finpartition_right", "Rel.card_interedges_le_mul", "Rel.codom_inv", "Rel.comp_assoc", "Rel.comp_left_bot", "Rel.comp_left_id", "Rel.comp_left_top", "Rel.comp_right_bot", "Rel.comp_right_id", "Rel.comp_right_top", "Rel.core_comp", "Rel.core_id", "Rel.core_inter", "Rel.core_mono", "Rel.core_subset", "Rel.core_union", "Rel.core_univ", "Rel.dom_inv", "Rel.dom_mono", "Rel.edgeDensity_add_edgeDensity_compl", "Rel.edgeDensity_comm", "Rel.edgeDensity_empty_left", "Rel.edgeDensity_empty_right", "Rel.edgeDensity_le_one", "Rel.edgeDensity_nonneg", "Rel.edgeDensity_sub_edgeDensity_le_one_sub_mul", "Rel.image_bot", "Rel.image_comp", "Rel.image_core_gc", "Rel.image_empty", "Rel.image_eq_dom_of_codomain_subset", "Rel.image_id", "Rel.image_inter", "Rel.image_inter_dom_eq", "Rel.image_mono", "Rel.image_preimage_subset_inter_codom", "Rel.image_subset", "Rel.image_subset_iff", "Rel.image_top", "Rel.image_union", "Rel.image_univ", "Rel.inter_dom_subset_preimage_image", "Rel.interedges_biUnion", "Rel.interedges_biUnion_left", "Rel.interedges_biUnion_right", "Rel.interedges_disjoint_left", "Rel.interedges_disjoint_right", "Rel.interedges_empty_left", "Rel.interedges_mono", "Rel.inv_bot", "Rel.inv_comp", "Rel.inv_top", "Rel.mem_image", "Rel.mem_interedges_iff", "Rel.mem_preimage", "Rel.mk_mem_interedges_comm", "Rel.mk_mem_interedges_iff", "Rel.mul_edgeDensity_le_edgeDensity", "Rel.preimage_bot", "Rel.preimage_comp", "Rel.preimage_def", "Rel.preimage_empty", "Rel.preimage_id", "Rel.preimage_inter_codom_eq", "Rel.preimage_inv", "Rel.preimage_mono", "Rel.preimage_top", "Rel.preimage_union", "Rel.preimage_univ", "Rel.swap_mem_interedges_iff", "RelEmbedding.acc", "RelEmbedding.acc_iff_no_decreasing_seq", "RelEmbedding.codRestrict_apply", "RelEmbedding.coe_natLT", "RelEmbedding.coe_toEmbedding", "RelEmbedding.coe_toRelHom", "RelEmbedding.coe_trans", "RelEmbedding.collapseF.lt", "RelEmbedding.collapseF.not_lt", "RelEmbedding.collapse_apply", "RelEmbedding.eq_preimage", "RelEmbedding.ext", "RelEmbedding.ext_iff", "RelEmbedding.image_maximals_eq", "RelEmbedding.image_minimals_eq", "RelEmbedding.inj", "RelEmbedding.injective", "RelEmbedding.inter_preimage_maximals_eq_of_subset", "RelEmbedding.inter_preimage_minimals_eq", "RelEmbedding.inter_preimage_minimals_eq_of_subset", "RelEmbedding.isAntisymm", "RelEmbedding.isAsymm", "RelEmbedding.isIrrefl", "RelEmbedding.isPreorder", "RelEmbedding.isRefl", "RelEmbedding.isStrictOrder", "RelEmbedding.isStrictTotalOrder", "RelEmbedding.isTotal", "RelEmbedding.isTrans", "RelEmbedding.isTrichotomous", "RelEmbedding.isWellOrder", "RelEmbedding.maximals_preimage_eq", "RelEmbedding.minimals_preimage_eq", "RelEmbedding.not_acc_of_decreasing_seq", "RelEmbedding.not_wellFounded_of_decreasing_seq", "RelEmbedding.ofMapRelIff_coe", "RelEmbedding.ofMonotone_coe", "RelEmbedding.orderEmbeddingOfLTEmbedding_apply", "RelEmbedding.ordinal_type_le", "RelEmbedding.trans_apply", "RelEmbedding.wellFounded", "RelEmbedding.wellFounded_iff_no_descending_seq", "RelHom.coe_fn_injective", "RelHom.coe_fn_toFun", "RelHom.ext", "RelHom.ext_iff", "RelHom.injective_of_increasing", "RelHom.map_rel", "RelHomClass.acc", "RelHomClass.isAsymm", "RelHomClass.isIrrefl", "RelHomClass.map_inf", "RelHomClass.map_sup", "RelIso.apply_symm_apply", "RelIso.bijective", "RelIso.cast_symm", "RelIso.cast_trans", "RelIso.coe_fn_injective", "RelIso.coe_fn_symm_mk", "RelIso.coe_fn_toEquiv", "RelIso.coe_toEmbedding", "RelIso.coe_toRelEmbedding", "RelIso.cof_eq", "RelIso.cof_le_lift", "RelIso.eq_iff_eq", "RelIso.ext", "RelIso.ext_iff", "RelIso.image_eq_preimage_symm", "RelIso.injective", "RelIso.inv_apply_self", "RelIso.map_rel_iff", "RelIso.mul_apply", "RelIso.preimage_eq_image_symm", "RelIso.range_eq", "RelIso.rel_symm_apply", "RelIso.self_trans_symm", "RelIso.surjective", "RelIso.symm_apply_rel", "RelSeries.append_apply_left", "RelSeries.append_apply_right", "RelSeries.coe_ofLE", "RelSeries.head_smash", "RelSeries.head_snoc", "RelSeries.head_tail", "RelSeries.last_append", "RelSeries.last_cons", "RelSeries.last_mem", "RelSeries.last_smash", "RelSeries.last_snoc", "RelSeries.last_snoc'", "RelSeries.last_tail", "RelSeries.length_eq_zero", "RelSeries.length_le_length_longestOf", "RelSeries.length_ne_zero", "RelSeries.length_pos", "RelSeries.length_pos_of_nontrivial", "RelSeries.length_toList", "RelSeries.length_withLength", "RelSeries.mem_def", "RelSeries.mem_snoc", "RelSeries.mem_toList", "RelSeries.nonempty_of_infiniteDimensional", "RelSeries.reverse_apply", "RelSeries.smash_castAdd", "RelSeries.smash_natAdd", "RelSeries.smash_succ_castAdd", "RelSeries.smash_succ_natAdd", "RelSeries.snoc_castSucc", "RelSeries.subsingleton_of_length_eq_zero", "RelSeries.toList_chain'", "RelSeries.toList_injective", "RelSeries.toList_ne_nil", "Relation.ReflGen.mono", "Relation.ReflGen.to_reflTransGen", "Relation.ReflTransGen.cases_head", "Relation.ReflTransGen.cases_tail", "Relation.ReflTransGen.head", "Relation.ReflTransGen.head_induction_on", "Relation.ReflTransGen.lift'", "Relation.ReflTransGen.mono", "Relation.ReflTransGen.single", "Relation.ReflTransGen.symmetric", "Relation.ReflTransGen.total_of_right_unique", "Relation.ReflTransGen.trans", "Relation.ReflTransGen.trans_induction_on", "Relation.TransGen.closed", "Relation.TransGen.closed'", "Relation.TransGen.head", "Relation.TransGen.head'", "Relation.TransGen.head'_iff", "Relation.TransGen.head_induction_on", "Relation.TransGen.lift", "Relation.TransGen.lift'", "Relation.TransGen.mono", "Relation.TransGen.swap", "Relation.TransGen.tail'", "Relation.TransGen.to_reflTransGen", "Relation.TransGen.trans", "Relation.TransGen.trans_induction_on", "Relation.TransGen.trans_left", "Relation.TransGen.trans_right", "Relation.acc_of_singleton", "Relation.church_rosser", "Relation.comp_assoc", "Relation.comp_eq", "Relation.comp_iff", "Relation.cutExpand_add_left", "Relation.cutExpand_add_right", "Relation.cutExpand_closed", "Relation.cutExpand_double", "Relation.cutExpand_double_left", "Relation.cutExpand_fibration", "Relation.cutExpand_iff", "Relation.cutExpand_le_invImage_lex", "Relation.cutExpand_pair_left", "Relation.cutExpand_pair_right", "Relation.cutExpand_singleton", "Relation.cutExpand_singleton_singleton", "Relation.cutExpand_zero", "Relation.equivalence_join", "Relation.equivalence_join_reflTransGen", "Relation.flip_comp", "Relation.iff_comp", "Relation.is_graph_iff", "Relation.join_of_equivalence", "Relation.map_apply", "Relation.map_apply_apply", "Relation.map_id_id", "Relation.map_map", "Relation.not_cutExpand_zero", "Relation.reflGen_eq_self", "Relation.reflGen_minimal", "Relation.reflTransGen_eq_reflGen", "Relation.reflTransGen_eq_self", "Relation.reflTransGen_eq_transGen", "Relation.reflTransGen_idem", "Relation.reflTransGen_iff_eq", "Relation.reflTransGen_iff_eq_or_transGen", "Relation.reflTransGen_minimal", "Relation.reflTransGen_of_equivalence", "Relation.reflTransGen_reflGen", "Relation.reflexive_reflGen", "Relation.symmetric_join", "Relation.transGen_eq_self", "Relation.transGen_minimal", "Relation.transGen_reflGen", "Relation.transGen_swap", "Relation.transitive_join", "Relation.transitive_reflTransGen", "Relation.transitive_transGen", "Relator.BiTotal.refl", "Relator.BiTotal.rel_exists", "Relator.BiTotal.rel_forall", "Relator.BiTotal.symm", "Relator.BiTotal.trans", "Relator.BiUnique.forall\u2082", "Relator.LeftTotal.rel_exists", "Relator.LeftTotal.symm", "Relator.RightTotal.refl", "Relator.RightTotal.symm", "Relator.RightTotal.trans", "Relator.bi_total_eq", "Relator.left_unique_of_rel_eq", "Relator.rel_eq", "Relator.rel_iff", "Relator.rel_imp", "Rep.Action_\u03c1_eq_\u03c1", "Rep.MonoidalCategory.braiding_hom_apply", "Rep.MonoidalCategory.braiding_inv_apply", "Rep.MonoidalClosed.linearHomEquivComm_hom", "Rep.MonoidalClosed.linearHomEquivComm_symm_hom", "Rep.MonoidalClosed.linearHomEquiv_hom", "Rep.MonoidalClosed.linearHomEquiv_symm_hom", "Rep.diagonalHomEquiv_apply", "Rep.diagonalHomEquiv_symm_apply", "Rep.diagonalHomEquiv_symm_partialProd_succ", "Rep.homEquiv_symm_apply_hom", "Rep.ihom_coev_app_hom", "Rep.ihom_ev_app_hom", "Rep.ihom_obj_\u03c1_apply", "Rep.ihom_obj_\u03c1_def", "Rep.leftRegularHomEquiv_symm_single", "Rep.leftRegularHom_apply", "Rep.linearization_map_hom", "Rep.linearization_map_hom_single", "Rep.linearization_obj_\u03c1", "Rep.linearization_of", "Rep.linearization_single", "Rep.linearization_\u03b5_hom", "Rep.linearization_\u03b5_inv_hom_apply", "Rep.linearization_\u03bc_hom", "Rep.linearization_\u03bc_inv_hom", "Rep.ofDistribMulAction_\u03c1_apply_apply", "Rep.ofModuleMonoidAlgebra_obj_\u03c1", "Rep.of_\u03c1", "Rep.of_\u03c1_apply", "Rep.to_Module_monoidAlgebra_map_aux", "Rep.trivial_def", "Rep.\u03c1_inv_self_apply", "Rep.\u03c1_self_inv_apply", "Representation.apply_eq_self", "Representation.asAlgebraHom_of", "Representation.asAlgebraHom_single", "Representation.asAlgebraHom_single_one", "Representation.asGroupHom_apply", "Representation.asModuleEquiv_map_smul", "Representation.asModuleEquiv_symm_map_smul", "Representation.averageMap_id", "Representation.averageMap_invariant", "Representation.dualTensorHom_comm", "Representation.invariants_eq_inter", "Representation.invariants_eq_top", "Representation.isProj_averageMap", "Representation.linHom.mem_invariants_iff_comm", "Representation.mem_invariants", "Representation.ofDistribMulAction_apply_apply", "Representation.ofModule_asAlgebraHom_apply_apply", "Representation.ofModule_asModule_act", "Representation.ofMulAction_apply", "Representation.ofMulAction_self_smul_eq_mul", "Representation.ofMulAction_single", "Representation.ofMulDistribMulAction_apply_apply", "Representation.smul_ofModule_asModule", "Representation.smul_one_tprod_asModule", "Representation.smul_tprod_one_asModule", "RestrictGenTopology.enlarge", "RestrictGenTopology.isClosed_iff", "RestrictGenTopology.isCompact_of_seq", "RestrictGenTopology.mono", "RestrictGenTopology.of_isClosed", "RestrictGenTopology.of_seq", "RestrictScalars.addEquiv_map_smul", "RestrictScalars.addEquiv_symm_map_smul_smul", "RestrictScalars.lsmul_apply_apply", "RestrictScalars.ringEquiv_algebraMap", "RestrictScalars.ringEquiv_map_smul", "RieszExtension.exists_top", "RieszExtension.step", "Right.inv_le_one_iff", "Right.inv_le_self", "Right.inv_lt_one_iff", "Right.inv_lt_self", "Right.min_le_max_of_mul_le_mul", "Right.mul_le_one", "Right.mul_le_one_of_le_of_le", "Right.mul_lt_mul", "Right.mul_lt_one", "Right.mul_lt_one'", "Right.mul_lt_one_of_le_of_lt", "Right.mul_lt_one_of_le_of_lt_of_nonneg", "Right.mul_lt_one_of_lt_of_le", "Right.mul_lt_one_of_lt_of_le_of_pos", "Right.mul_nonneg", "Right.mul_pos", "Right.neg_of_mul_neg_left", "Right.neg_of_mul_neg_right", "Right.one_le_inv_iff", "Right.one_le_mul", "Right.one_le_mul_of_le_of_le", "Right.one_le_pow_of_le", "Right.one_lt_inv_iff", "Right.one_lt_mul'", "Right.one_lt_mul_of_le_of_lt", "Right.one_lt_mul_of_le_of_lt_of_nonneg", "Right.one_lt_mul_of_lt_of_le", "Right.pow_le_one_of_le", "Right.pow_lt_one_of_lt", "Right.self_le_inv", "Right.sign_neg", "RightDerivMeasurableAux.A_mem_nhdsWithin_Ioi", "RightDerivMeasurableAux.A_mono", "RightDerivMeasurableAux.B_mem_nhdsWithin_Ioi", "RightDerivMeasurableAux.D_subset_differentiable_set", "RightDerivMeasurableAux.differentiable_set_subset_D", "RightDerivMeasurableAux.le_of_mem_A", "RightDerivMeasurableAux.measurableSet_B", "RightDerivMeasurableAux.mem_A_of_differentiable", "RightDerivMeasurableAux.norm_sub_le_of_mem_A", "RightOrdContinuous.coe_toOrderEmbedding", "RightOrdContinuous.comp", "RightOrdContinuous.id", "RightOrdContinuous.iterate", "RightOrdContinuous.le_iff", "RightOrdContinuous.lt_iff", "RightOrdContinuous.map_ciInf", "RightOrdContinuous.map_inf", "RightOrdContinuous.map_isLeast", "RightOrdContinuous.map_sInf", "RightOrdContinuous.map_sInf'", "RightOrdContinuous.orderDual", "Ring.DimensionLEOne.eq_bot_of_lt", "Ring.DimensionLEOne.isIntegralClosure", "Ring.DimensionLEOne.localization", "Ring.DimensionLEOne.not_lt_lt", "Ring.DimensionLeOne.prime_le_prime_iff_eq", "Ring.DirectLimit.Polynomial.exists_of", "Ring.DirectLimit.congr_symm_apply_of", "Ring.DirectLimit.exists_of", "Ring.DirectLimit.lift_injective", "Ring.DirectLimit.lift_of", "Ring.DirectLimit.lift_unique", "Ring.DirectLimit.map_apply_of", "Ring.DirectLimit.map_comp", "Ring.DirectLimit.of.zero_exact", "Ring.DirectLimit.of.zero_exact_aux", "Ring.DirectLimit.of.zero_exact_aux2", "Ring.DirectLimit.of_f", "Ring.DirectLimit.of_injective", "Ring.InClosure.recOn", "Ring.ascPochhammer_succ_succ", "Ring.choose_natCast", "Ring.closure.isSubring", "Ring.closure_subset_iff", "Ring.descPochhammer_eq_factorial_smul_choose", "Ring.eq_self_iff_eq_zero_of_char_ne_two", "Ring.exists_list_of_mem_closure", "Ring.exists_not_isUnit_of_not_isField", "Ring.ext", "Ring.factorial_nsmul_multichoose_eq_ascPochhammer", "Ring.image_closure", "Ring.inverse_add_inverse", "Ring.inverse_eq_inv", "Ring.inverse_eq_inv'", "Ring.inverse_invertible", "Ring.inverse_mul_cancel", "Ring.inverse_mul_cancel_left", "Ring.inverse_mul_cancel_right", "Ring.inverse_mul_eq_iff_eq_mul", "Ring.inverse_non_unit", "Ring.inverse_one", "Ring.inverse_pow", "Ring.inverse_star", "Ring.inverse_sub_inverse", "Ring.inverse_unit", "Ring.inverse_zero", "Ring.isArtinian_of_zero_eq_one", "Ring.isField_iff_isSimpleOrder_ideal", "Ring.mem_closure", "Ring.mul_inverse_cancel", "Ring.mul_inverse_cancel_left", "Ring.mul_inverse_cancel_right", "Ring.mul_inverse_rev", "Ring.mul_inverse_rev'", "Ring.multichoose_eq_multichoose", "Ring.multichoose_one", "Ring.multichoose_one_right", "Ring.multichoose_one_right'", "Ring.multichoose_succ_succ", "Ring.multichoose_two", "Ring.multichoose_zero_right", "Ring.multichoose_zero_right'", "Ring.multichoose_zero_succ", "Ring.ne_bot_of_isMaximal_of_not_isField", "Ring.neg_one_ne_one_of_char_ne_two", "Ring.not_isField_iff_exists_ideal_bot_lt_and_lt_top", "Ring.not_isField_iff_exists_prime", "Ring.nsmul_right_injective", "Ring.toNonAssocRing_injective", "Ring.toSemiring_injective", "Ring.two_ne_zero", "RingAut.smul_def", "RingCat.coe_comp", "RingCat.coe_comp_of", "RingCat.coe_ringHom_id", "RingCat.ext", "RingCat.ext_of", "RingCat.forget_map", "RingCon.coe_bot", "RingCon.coe_iInf", "RingCon.coe_inf", "RingCon.coe_intCast", "RingCon.coe_natCast", "RingCon.coe_neg", "RingCon.coe_nsmul", "RingCon.coe_one", "RingCon.coe_pow", "RingCon.coe_sInf", "RingCon.coe_smul", "RingCon.coe_sub", "RingCon.ext", "RingCon.finsetSum", "RingCon.listSum", "RingCon.mul", "RingCon.multisetSum", "RingCon.neg", "RingCon.nsmul", "RingCon.op_iff", "RingCon.refl", "RingCon.rel_eq_coe", "RingCon.ringConGen_eq", "RingCon.ringConGen_le", "RingCon.ringConGen_mono", "RingCon.ringConGen_of_ringCon", "RingCon.sSup_def", "RingCon.sSup_eq_ringConGen", "RingCon.sup_def", "RingCon.sup_eq_ringConGen", "RingCon.zsmul", "RingEquiv.apply_symm_apply", "RingEquiv.coe_addEquiv_trans", "RingEquiv.coe_addMonoidHom_refl", "RingEquiv.coe_addMonoidHom_trans", "RingEquiv.coe_mk", "RingEquiv.coe_monoidHom_refl", "RingEquiv.coe_monoidHom_trans", "RingEquiv.coe_mulEquiv_refl", "RingEquiv.coe_mulEquiv_trans", "RingEquiv.coe_nonUnitalRingHom_inj_iff", "RingEquiv.coe_prodComm", "RingEquiv.coe_ringHom_inj_iff", "RingEquiv.coe_ringHom_trans", "RingEquiv.coe_toAddEquiv", "RingEquiv.coe_toEquiv", "RingEquiv.coe_toEquiv_symm", "RingEquiv.coe_toMulEquiv", "RingEquiv.coe_toRingHom", "RingEquiv.coe_trans", "RingEquiv.comp_symm", "RingEquiv.ext", "RingEquiv.ext_iff", "RingEquiv.image_eq_preimage", "RingEquiv.injective", "RingEquiv.invFun_eq_symm", "RingEquiv.localRing", "RingEquiv.mapMatrix_refl", "RingEquiv.mapMatrix_symm", "RingEquiv.mapMatrix_trans", "RingEquiv.map_add", "RingEquiv.map_eq_neg_one_iff", "RingEquiv.map_eq_zero_iff", "RingEquiv.map_list_prod", "RingEquiv.map_mul", "RingEquiv.map_multiset_prod", "RingEquiv.map_ne_one_iff", "RingEquiv.map_neg", "RingEquiv.map_neg_one", "RingEquiv.map_one", "RingEquiv.map_prod", "RingEquiv.map_sub", "RingEquiv.map_sum", "RingEquiv.map_zero", "RingEquiv.mk_coe", "RingEquiv.mk_coe'", "RingEquiv.ofBijective_apply", "RingEquiv.ofLeftInverse'_apply", "RingEquiv.ofLeftInverse'_symm_apply", "RingEquiv.ofLeftInverseS_apply", "RingEquiv.ofLeftInverseS_symm_apply", "RingEquiv.ofLeftInverse_symm_apply", "RingEquiv.piCongrRight_symm", "RingEquiv.piCongrRight_trans", "RingEquiv.prodProdProdComm_symm", "RingEquiv.prodProdProdComm_toEquiv", "RingEquiv.prodProdProdComm_toMulEquiv", "RingEquiv.self_trans_symm", "RingEquiv.snd_comp_coe_prodComm", "RingEquiv.sofLeftInverse'_symm_apply", "RingEquiv.symm_apply_apply", "RingEquiv.symm_bijective", "RingEquiv.symm_comp", "RingEquiv.symm_mk", "RingEquiv.symm_refl", "RingEquiv.symm_toNonUnitalRingHom_apply_toNonUnitalRingHom_apply", "RingEquiv.symm_toRingHom_apply_toRingHom_apply", "RingEquiv.symm_toRingHom_comp_toRingHom", "RingEquiv.symm_trans", "RingEquiv.symm_trans_self", "RingEquiv.toAddEquiv_eq_coe", "RingEquiv.toAddMonoidHom_refl", "RingEquiv.toAddMonoidMom_commutes", "RingEquiv.toEquiv_commutes", "RingEquiv.toMonoidHom_commutes", "RingEquiv.toMonoidHom_refl", "RingEquiv.toNonUnitalRingHom_refl", "RingEquiv.toNonUnitalRingHom_trans", "RingEquiv.toOpposite_apply", "RingEquiv.toRingHom_apply_symm_toRingHom_apply", "RingEquiv.toRingHom_comp_symm_toRingHom", "RingEquiv.toRingHom_eq_coe", "RingEquiv.toRingHom_injective", "RingEquiv.toRingHom_trans", "RingEquiv.trans_apply", "RingEquiv.unop_map_list_prod", "RingFilterBasis.mul_right", "RingFilterBasis.submodulesBasisIsBasis", "RingHom.Finite.comp", "RingHom.Finite.finiteType", "RingHom.Finite.id", "RingHom.Finite.of_comp_finite", "RingHom.Finite.to_isIntegral", "RingHom.FinitePresentation.comp", "RingHom.FinitePresentation.id", "RingHom.FinitePresentation.of_comp_finiteType", "RingHom.FinitePresentation.of_surjective", "RingHom.FiniteType.comp", "RingHom.FiniteType.comp_surjective", "RingHom.FiniteType.of_comp_finiteType", "RingHom.FiniteType.of_finite", "RingHom.FiniteType.of_finitePresentation", "RingHom.FiniteType.of_surjective", "RingHom.IsIntegral.quotient", "RingHom.IsIntegral.to_finite", "RingHom.IsIntegral.tower_bot", "RingHom.IsIntegral.tower_top", "RingHom.IsIntegral.trans", "RingHom.IsIntegralElem.add", "RingHom.IsIntegralElem.mul", "RingHom.IsIntegralElem.neg", "RingHom.IsIntegralElem.of_mem_closure", "RingHom.IsIntegralElem.of_mul_unit", "RingHom.IsIntegralElem.sub", "RingHom.LocalizationPreserves.away", "RingHom.OfLocalizationSpanTarget.ofIsLocalization", "RingHom.PropertyIsLocal.affineLocally_isStableUnderComposition", "RingHom.PropertyIsLocal.affineLocally_of_comp", "RingHom.PropertyIsLocal.affineLocally_of_isOpenImmersion", "RingHom.PropertyIsLocal.affine_openCover_TFAE", "RingHom.PropertyIsLocal.isLocal_sourceAffineLocally", "RingHom.PropertyIsLocal.is_local_affineLocally", "RingHom.PropertyIsLocal.ofLocalizationSpan", "RingHom.PropertyIsLocal.openCover_TFAE", "RingHom.PropertyIsLocal.respectsIso", "RingHom.PropertyIsLocal.sourceAffineLocally_comp_of_isOpenImmersion", "RingHom.PropertyIsLocal.sourceAffineLocally_of_source_openCover", "RingHom.PropertyIsLocal.source_affine_openCover_iff", "RingHom.PropertyIsLocal.source_openCover_iff", "RingHom.RespectsIso.basicOpen_iff", "RingHom.RespectsIso.basicOpen_iff_localization", "RingHom.RespectsIso.cancel_left_isIso", "RingHom.RespectsIso.cancel_right_isIso", "RingHom.RespectsIso.is_localization_away_iff", "RingHom.RespectsIso.ofRestrict_morphismRestrict_iff", "RingHom.StableUnderBaseChange.mk", "RingHom.StableUnderBaseChange.pushout_inl", "RingHom.StableUnderBaseChange.\u0393_pullback_fst", "RingHom.algebraMap_toAlgebra", "RingHom.asBoolAlg_comp", "RingHom.cancel_left", "RingHom.cancel_right", "RingHom.charP", "RingHom.charP_iff", "RingHom.charP_iff_charP", "RingHom.charZero", "RingHom.charZero_iff", "RingHom.codomain_trivial", "RingHom.codomain_trivial_iff_map_one_eq_zero", "RingHom.codomain_trivial_iff_range_trivial", "RingHom.coe_addMonoidHom_id", "RingHom.coe_addMonoidHom_injective", "RingHom.coe_coe", "RingHom.coe_comp", "RingHom.coe_fieldRange", "RingHom.coe_fst", "RingHom.coe_mk", "RingHom.coe_mul", "RingHom.coe_prodMap", "RingHom.coe_range", "RingHom.coe_rangeRestrict", "RingHom.coe_rangeS", "RingHom.coe_rangeSRestrict", "RingHom.comap_ker", "RingHom.comp_apply", "RingHom.comp_assoc", "RingHom.comp_id", "RingHom.comp_id_commSemiringCat", "RingHom.comp_id_semiringCat", "RingHom.comp_restrict", "RingHom.congr_arg", "RingHom.congr_fun", "RingHom.copy_eq", "RingHom.domain_localRing", "RingHom.domain_nontrivial", "RingHom.eqLocusS_same", "RingHom.eqOn_field_closure", "RingHom.eqOn_sclosure", "RingHom.eq_intCast'", "RingHom.eq_liftOfRightInverse", "RingHom.eq_natCast'", "RingHom.eq_of_eqOn_of_field_closure_eq_top", "RingHom.eq_of_eqOn_set_dense", "RingHom.eq_of_eqOn_set_top", "RingHom.eq_of_eqOn_subfield_top", "RingHom.expChar", "RingHom.expChar_iff", "RingHom.ext", "RingHom.ext_int", "RingHom.ext_rat", "RingHom.ext_zmod", "RingHom.fieldRange_eq_map", "RingHom.field_closure_preimage_le", "RingHom.finiteType_holdsForLocalizationAway", "RingHom.finiteType_is_local", "RingHom.finiteType_ofLocalizationSpanTarget", "RingHom.finiteType_stableUnderBaseChange", "RingHom.finite_respectsIso", "RingHom.finite_stableUnderBaseChange", "RingHom.finite_stableUnderComposition", "RingHom.functions_ext", "RingHom.id_apply", "RingHom.id_comp", "RingHom.id_ringCat_comp", "RingHom.id_semiringCat_comp", "RingHom.injective", "RingHom.injective_iff_ker_eq_bot", "RingHom.injective_nat", "RingHom.isIntegralElem.of_comp", "RingHom.isIntegralElem_leadingCoeff_mul", "RingHom.isIntegralElem_localization_at_leadingCoeff", "RingHom.isIntegralElem_map", "RingHom.isIntegralElem_zero", "RingHom.isIntegral_of_surjective", "RingHom.isIntegral_respectsIso", "RingHom.isIntegral_stableUnderBaseChange", "RingHom.isIntegral_stableUnderComposition", "RingHom.isSemisimpleRing_of_surjective", "RingHom.isSubring_image", "RingHom.isSubring_preimage", "RingHom.isSubring_set_range", "RingHom.isUnit_map", "RingHom.iterate_map_frobenius", "RingHom.kerLift_injective", "RingHom.kerLift_mk", "RingHom.ker_coe_equiv", "RingHom.ker_eq", "RingHom.ker_eq_bot_iff_eq_zero", "RingHom.ker_eq_comap_bot", "RingHom.ker_equiv", "RingHom.ker_isMaximal_of_surjective", "RingHom.ker_isPrime", "RingHom.ker_isRadical_iff_reduced_of_surjective", "RingHom.ker_ne_top", "RingHom.ker_rangeSRestrict", "RingHom.liftOfRightInverseAux_comp_apply", "RingHom.liftOfRightInverse_comp", "RingHom.liftOfRightInverse_comp_apply", "RingHom.lift_injective_of_ker_le_ideal", "RingHom.mapMatrix_id", "RingHom.map_add", "RingHom.map_adjugate", "RingHom.map_det", "RingHom.map_dfinsupp_sumAddHom", "RingHom.map_dotProduct", "RingHom.map_dvd", "RingHom.map_fieldRange", "RingHom.map_field_closure", "RingHom.map_frobenius", "RingHom.map_geom_sum", "RingHom.map_geom_sum\u2082", "RingHom.map_ite_one_zero", "RingHom.map_iterate_frobenius", "RingHom.map_matrix_mul", "RingHom.map_mul", "RingHom.map_mulVec", "RingHom.map_neg", "RingHom.map_one", "RingHom.map_one_ne_zero", "RingHom.map_pow", "RingHom.map_range", "RingHom.map_rangeS", "RingHom.map_rat_algebraMap", "RingHom.map_sub", "RingHom.map_vecMul", "RingHom.map_zero", "RingHom.mem_fieldRange", "RingHom.mem_ker", "RingHom.mem_range", "RingHom.mem_rangeS", "RingHom.mem_range_self", "RingHom.mul_def", "RingHom.not_one_mem_ker", "RingHom.ofLocalizationSpanTarget_iff_finite", "RingHom.ofLocalizationSpan_iff_finite", "RingHom.one_def", "RingHom.pNilradical_le_ker_of_perfectRing", "RingHom.prod_apply", "RingHom.prod_comp_prodMap", "RingHom.prod_unique", "RingHom.quotientKerEquivOfRightInverse.Symm.apply", "RingHom.quotientKerEquivOfRightInverse.apply", "RingHom.rangeRestrict_surjective", "RingHom.rangeSRestrict_surjective", "RingHom.range_eq_map", "RingHom.range_top_iff_surjective", "RingHom.range_top_of_surjective", "RingHom.restrict_apply", "RingHom.sclosure_preimage_le", "RingHom.snd_comp_prod", "RingHom.star_def", "RingHom.sub_mem_ker_iff", "RingHom.surjective", "RingHom.surjective_ofLocalizationSpan", "RingHom.surjective_respectsIso", "RingHom.surjective_stableUnderBaseChange", "RingHom.toAddMonoidHom_eq_coe", "RingHom.toFun_eq_coe", "RingHom.toMonoidHom_eq_coe", "RingHom.toMonoidWithZeroHom_eq_coe", "RingHom.toRatAlgHom_toRingHom", "RingHom.to_isAddMonoidHom", "RingHom.to_isRingHom", "RingHom.to_isSemiringHom", "RingHomCompTriple.comp_apply", "RingHomInvPair.comp_apply_eq", "RingHomInvPair.comp_apply_eq\u2082", "RingHomInvPair.of_ringEquiv", "RingHomInvPair.symm", "RingInvo.coe_ringEquiv", "RingInvo.involution", "RingInvo.map_eq_zero_iff", "RingNorm.apply_one", "RingNorm.toFun_eq_coe", "RingOfIntegers.coe_algebraMap_norm", "RingOfIntegers.coe_norm", "RingOfIntegers.dvd_norm", "RingOfIntegers.isPrincipalIdealRing_of_abs_discr_lt", "RingOfIntegers.isUnit_norm", "RingOfIntegers.isUnit_norm_of_isGalois", "RingOfIntegers.norm_algebraMap", "RingOfIntegers.norm_norm", "RingQuot.Rel.add_right", "RingQuot.Rel.neg", "RingQuot.Rel.smul", "RingQuot.Rel.star", "RingQuot.Rel.sub_left", "RingQuot.Rel.sub_right", "RingQuot.add_quot", "RingQuot.eq_liftAlgHom_comp_mkAlgHom", "RingQuot.eq_lift_comp_mkRingHom", "RingQuot.eqvGen_rel_eq", "RingQuot.liftAlgHom_mkAlgHom_apply", "RingQuot.liftAlgHom_unique", "RingQuot.lift_mkRingHom_apply", "RingQuot.lift_unique", "RingQuot.mkAlgHom_coe", "RingQuot.mkAlgHom_rel", "RingQuot.mkAlgHom_surjective", "RingQuot.mkRingHom_rel", "RingQuot.mkRingHom_surjective", "RingQuot.mul_quot", "RingQuot.neg_quot", "RingQuot.one_quot", "RingQuot.pow_quot", "RingQuot.ringQuotToIdealQuotient_apply", "RingQuot.ringQuot_ext", "RingQuot.ringQuot_ext'", "RingQuot.smul_quot", "RingQuot.sub_quot", "RingSeminorm.eq_zero_iff", "RingSeminorm.ext", "RingSeminorm.ne_zero_iff", "RingSeminorm.seminorm_one_eq_one_iff_ne_zero", "RingSeminorm.toFun_eq_coe", "RingSubgroupsBasis.hasBasis_nhds", "RingSubgroupsBasis.hasBasis_nhds_zero", "RingSubgroupsBasis.of_comm", "RingTheory.Sequence.IsRegular.cons'", "RingTheory.Sequence.IsRegular.nil", "RingTheory.Sequence.IsRegular.quot_ofList_smul_nontrivial", "RingTheory.Sequence.IsWeaklyRegular.cons", "RingTheory.Sequence.IsWeaklyRegular.cons'", "RingTheory.Sequence.IsWeaklyRegular.isWeaklyRegular_lTensor", "RingTheory.Sequence.IsWeaklyRegular.isWeaklyRegular_rTensor", "RingTheory.Sequence.IsWeaklyRegular.nil", "RingTheory.Sequence.IsWeaklyRegular.prototype_perm", "RingTheory.Sequence.IsWeaklyRegular.swap", "RingTheory.Sequence.eq_nil_of_isRegular_on_artinian", "RingTheory.Sequence.isRegular_cons_iff", "RingTheory.Sequence.isRegular_cons_iff'", "RingTheory.Sequence.isRegular_iff_isWeaklyRegular_of_subset_jacobson_annihilator", "RingTheory.Sequence.isWeaklyRegular_append_iff", "RingTheory.Sequence.isWeaklyRegular_append_iff'", "RingTheory.Sequence.isWeaklyRegular_iff_Fin", "RingTheory.Sequence.isWeaklyRegular_singleton_iff", "RingTheory.Sequence.map_first_exact_on_four_term_right_exact_of_isSMulRegular_last", "RingTopology.coinduced_continuous", "RingTopology.toTopologicalSpace_injective", "RootPairing.IsOrthogonal.symm", "RootPairing.bijOn_reflection_root", "RootPairing.choose_choose_eq_of_mapsTo", "RootPairing.coreflection_apply_coroot", "RootPairing.coreflection_apply_self", "RootPairing.coreflection_eq_flip_reflection", "RootPairing.coreflection_same", "RootPairing.coroot_eq_coreflection_of_root_eq", "RootPairing.coroot_eq_coreflection_of_root_eq'", "RootPairing.coroot_root_eq_pairing", "RootPairing.coroot_root_two", "RootPairing.exist_eq_reflection_of_mapsTo", "RootPairing.ext", "RootPairing.flip_flip", "RootPairing.injOn_dualMap_subtype_span_root_coroot", "RootPairing.isCrystallographic_iff", "RootPairing.isOrthogonal_comm", "RootPairing.isReduced_iff", "RootPairing.mapsTo_coreflection_coroot", "RootPairing.mapsTo_reflection_root", "RootPairing.ne_zero", "RootPairing.ne_zero'", "RootPairing.reflection_apply", "RootPairing.reflection_apply_root", "RootPairing.reflection_apply_self", "RootPairing.reflection_dualMap_eq_coreflection", "RootPairing.reflection_same", "RootPairing.root_reflection_perm", "RootSystem.coroot_eq_coreflection_of_root_eq_of_span_eq_top", "RootSystem.ext", "SBtw.sbtw.trans_left", "SModEq.add", "SModEq.bot", "SModEq.comap", "SModEq.def", "SModEq.eval", "SModEq.mul", "SModEq.refl", "SModEq.rfl", "SModEq.smul", "SModEq.sub_mem", "SModEq.symm", "SModEq.top", "SModEq.trans", "SModEq.zero", "SMul.comp.isScalarTower", "SMul.comp.smulCommClass", "SMulCommClass.of_commMonoid", "SMulCommClass.of_mclosure_eq_top", "SMulCommClass.of_mul_smul_one", "SMulCommClass.symm", "SMulMemClass.ofIsScalarTower", "SMulPosMono.of_pos", "SMulPosMono.toSMulPosReflectLT", "SMulPosReflectLE.lift", "SMulPosReflectLE.toSMulPosStrictMono", "SMulPosReflectLT.lift", "SMulPosReflectLT.of_pos", "SMulPosReflectLT.toSMulPosMono", "SMulPosReflectLT.toSMulPosReflectLE", "SMulPosStrictMono.lift", "SNum.bit_one", "SSet.Augmented.StandardSimplex.shiftFun_0", "SSet.Augmented.StandardSimplex.shiftFun_succ", "SSet.Quasicategory.hornFilling", "SSet.Truncated.hom_ext", "SSet.horn.hom_ext", "SSet.quasicategory_of_filler", "SSet.rightUnitor_inv_app_apply", "SSet.standardSimplex.coe_edge_down_toOrderHom", "SSet.standardSimplex.map_id", "SSet.tensorHom_app_apply", "SSet.whiskerLeft_app_apply", "SSet.whiskerRight_app_apply", "SameRay.add_left", "SameRay.add_right", "SameRay.eq_of_norm_eq", "SameRay.exists_eq_smul", "SameRay.exists_eq_smul_add", "SameRay.exists_nonneg_left", "SameRay.exists_nonneg_right", "SameRay.exists_pos_left", "SameRay.nonneg_smul_left", "SameRay.nonneg_smul_right", "SameRay.norm_add", "SameRay.norm_smul_eq", "SameRay.norm_sub", "SameRay.of_subsingleton", "SameRay.pos_smul_left", "SameRay.pos_smul_right", "SameRay.refl", "SameRay.rfl", "SameRay.sameRay_comm", "SameRay.sameRay_map_iff", "SameRay.sameRay_nonneg_smul_left", "SameRay.sameRay_nonneg_smul_right", "SameRay.sameRay_pos_smul_left", "SameRay.sameRay_pos_smul_right", "SameRay.smul", "SameRay.symm", "SameRay.trans", "SameRay.zero_left", "SameRay.zero_right", "Sat.Clause.reify_and", "Sat.Clause.reify_one", "Sat.Clause.reify_zero", "Sat.Fmla.reify_one", "Sat.Fmla.reify_or", "Sat.Fmla.subsumes_left", "Sat.Fmla.subsumes_right", "Sat.Fmla.subsumes_self", "Sat.Literal.reify_neg", "Sat.Literal.reify_pos", "Sat.Valuation.by_cases", "Sat.Valuation.mk_implies", "SatisfiesM.bind", "SatisfiesM.bind_pre", "SatisfiesM.imp", "SatisfiesM.map", "SatisfiesM.mapConst", "SatisfiesM.of_true", "SatisfiesM.pure", "SatisfiesM.seq", "SatisfiesM.seqLeft", "SatisfiesM.seqRight", "SatisfiesM.seq_post", "SatisfiesM.seq_pre'", "SatisfiesM.trivial", "SatisfiesM_ExceptT_eq", "SatisfiesM_Except_eq", "SatisfiesM_Id_eq", "SatisfiesM_Option_eq", "SatisfiesM_ReaderT_eq", "SatisfiesM_StateT_eq", "Sbtw.affineCombination_of_mem_affineSpan_pair", "Sbtw.angle\u2081\u2082\u2083_eq_pi", "Sbtw.angle\u2082\u2083\u2081_eq_zero", "Sbtw.angle\u2083\u2081\u2082_eq_zero", "Sbtw.angle\u2083\u2082\u2081_eq_pi", "Sbtw.dist_lt_max_dist", "Sbtw.left_mem_affineSpan", "Sbtw.left_ne", "Sbtw.left_ne_right", "Sbtw.mem_image_Ioo", "Sbtw.ne_left", "Sbtw.ne_right", "Sbtw.not_rotate", "Sbtw.not_swap_left", "Sbtw.not_swap_right", "Sbtw.oangle_eq_add_pi_left", "Sbtw.oangle_eq_left_right", "Sbtw.oangle_eq_right", "Sbtw.oangle_sign_eq_left", "Sbtw.oangle\u2081\u2083\u2082_eq_zero", "Sbtw.oangle\u2082\u2081\u2083_eq_zero", "Sbtw.oangle\u2082\u2083\u2081_eq_zero", "Sbtw.oangle\u2083\u2082\u2081_eq_pi", "Sbtw.right_mem_affineSpan", "Sbtw.right_mem_image_Ioi", "Sbtw.sOppSide_of_not_mem_of_mem", "Sbtw.trans_right_left", "SchwartzMap.add_apply", "SchwartzMap.bounds_bddBelow", "SchwartzMap.coe_zero", "SchwartzMap.compCLMOfAntilipschitz_apply", "SchwartzMap.compCLMOfContinuousLinearEquiv_apply", "SchwartzMap.compCLM_apply", "SchwartzMap.decay", "SchwartzMap.decay_add_le_aux", "SchwartzMap.decay_neg_aux", "SchwartzMap.decay_smul_aux", "SchwartzMap.delta_apply", "SchwartzMap.derivCLM_apply", "SchwartzMap.differentiable", "SchwartzMap.ext", "SchwartzMap.fderivCLM_apply", "SchwartzMap.fourierTransformCLE_apply", "SchwartzMap.fourierTransformCLE_symm_apply", "SchwartzMap.fourierTransformCLM_apply", "SchwartzMap.integrable", "SchwartzMap.integrable_of_le_of_pow_mul_le", "SchwartzMap.integrable_pow_mul", "SchwartzMap.integrable_pow_neg_integrablePower", "SchwartzMap.integralCLM_apply", "SchwartzMap.integralCLM_dirac_eq_delta", "SchwartzMap.integral_pow_mul_iteratedFDeriv_le", "SchwartzMap.integral_pow_mul_le_of_le_of_pow_mul_le", "SchwartzMap.isBigO_cocompact_rpow", "SchwartzMap.isBigO_cocompact_zpow", "SchwartzMap.isBigO_cocompact_zpow_neg_nat", "SchwartzMap.iteratedPDeriv_eq_iteratedFDeriv", "SchwartzMap.iteratedPDeriv_one", "SchwartzMap.iteratedPDeriv_succ_left", "SchwartzMap.iteratedPDeriv_succ_right", "SchwartzMap.iteratedPDeriv_zero", "SchwartzMap.le_seminorm", "SchwartzMap.le_seminorm'", "SchwartzMap.le_seminormAux", "SchwartzMap.norm_iteratedFDeriv_le_seminorm", "SchwartzMap.norm_le_seminorm", "SchwartzMap.norm_pow_mul_le_seminorm", "SchwartzMap.one_add_le_sup_seminorm_apply", "SchwartzMap.pderivCLM_eq_lineDeriv", "SchwartzMap.pow_mul_le_of_le_of_pow_mul_le", "SchwartzMap.schwartzSeminormFamily_apply", "SchwartzMap.seminormAux_add_le", "SchwartzMap.seminormAux_le_bound", "SchwartzMap.seminormAux_nonneg", "SchwartzMap.seminormAux_smul_le", "SchwartzMap.seminormAux_zero", "SchwartzMap.seminorm_le_bound", "SchwartzMap.seminorm_le_bound'", "SchwartzMap.smooth", "SchwartzMap.smul_apply", "SchwartzMap.sub_apply", "SchwartzMap.toBoundedContinuousFunctionCLM_apply", "SchwartzMap.toBoundedContinuousFunction_apply", "SchwartzMap.tsum_eq_tsum_fourierIntegral", "Scott.IsOpen.isUpperSet", "Scott.isOpen_sUnion", "Scott.is\u03c9Sup_iff_isLUB", "ScottContinuous.monotone", "SecondCountableTopology.of_separableSpace_orderTopology", "SemiNormedGrp.ExplicitCoker.map_desc", "SemiNormedGrp.coe_comp", "SemiNormedGrp.coe_id", "SemiNormedGrp.coe_of", "SemiNormedGrp.comp_explicitCokernel\u03c0", "SemiNormedGrp.completion.lift_unique", "SemiNormedGrp.completion.map_normNoninc", "SemiNormedGrp.completion.map_zero", "SemiNormedGrp.completion.norm_incl_eq", "SemiNormedGrp.explicitCokernelDesc_comp_eq_desc", "SemiNormedGrp.explicitCokernelDesc_comp_eq_zero", "SemiNormedGrp.explicitCokernelDesc_normNoninc", "SemiNormedGrp.explicitCokernelDesc_unique", "SemiNormedGrp.explicitCokernelIso_hom_desc", "SemiNormedGrp.explicitCokernelIso_hom_\u03c0", "SemiNormedGrp.explicitCokernelIso_inv_\u03c0", "SemiNormedGrp.explicitCokernel_hom_ext", "SemiNormedGrp.explicitCokernel\u03c0_apply_dom_eq_zero", "SemiNormedGrp.explicitCokernel\u03c0_desc", "SemiNormedGrp.explicitCokernel\u03c0_desc_apply", "SemiNormedGrp.explicitCokernel\u03c0_surjective", "SemiNormedGrp.isQuotient_explicitCokernel\u03c0", "SemiNormedGrp.isZero_of_subsingleton", "SemiNormedGrp.iso_isometry_of_normNoninc", "SemiNormedGrp.normNoninc_explicitCokernel\u03c0", "SemiNormedGrp.zero_apply", "SemiNormedGrp\u2081.coe_comp", "SemiNormedGrp\u2081.coe_of", "SemiNormedGrp\u2081.isZero_of_subsingleton", "SemiNormedGrp\u2081.iso_isometry", "SemiRingCat.RingEquiv_coe_eq", "SemiRingCat.coe_comp_of", "SemiRingCat.coe_id", "SemiRingCat.coe_id_of", "SemiRingCat.coe_of", "SemiRingCat.coe_ringHom_id", "SemiRingCat.ext_of", "SemiRingCat.forget_map", "SemiRingCat.ofHom_apply", "SemiconjBy.add_left", "SemiconjBy.add_right", "SemiconjBy.conj_iff", "SemiconjBy.conj_mk", "SemiconjBy.div_right", "SemiconjBy.eq", "SemiconjBy.function_semiconj_mul_left", "SemiconjBy.function_semiconj_mul_right_swap", "SemiconjBy.intCast_mul_intCast_mul", "SemiconjBy.intCast_mul_left", "SemiconjBy.inv_inv_symm_iff", "SemiconjBy.inv_right_iff", "SemiconjBy.inv_right_iff\u2080", "SemiconjBy.inv_right\u2080", "SemiconjBy.inv_symm_left_iff", "SemiconjBy.inv_symm_left_iff\u2080", "SemiconjBy.inv_symm_left\u2080", "SemiconjBy.map", "SemiconjBy.mul_left", "SemiconjBy.mul_right", "SemiconjBy.natCast_mul_left", "SemiconjBy.neg_left", "SemiconjBy.neg_left_iff", "SemiconjBy.neg_one_left", "SemiconjBy.neg_one_right", "SemiconjBy.neg_right", "SemiconjBy.of_map", "SemiconjBy.one_right", "SemiconjBy.pi", "SemiconjBy.pow_right", "SemiconjBy.prod", "SemiconjBy.reflexive", "SemiconjBy.sub_left", "SemiconjBy.sub_right", "SemiconjBy.tmul", "SemiconjBy.tprod", "SemiconjBy.units_inv_right", "SemiconjBy.units_inv_right_iff", "SemiconjBy.units_inv_symm_left", "SemiconjBy.units_inv_symm_left_iff", "SemiconjBy.units_of_val", "SemiconjBy.units_val", "SemiconjBy.units_zpow_right", "SemiconjBy.zero_left", "SemiconjBy.zero_right", "SemiconjBy.zpow_right", "SemiconjBy.zpow_right\u2080", "SemidirectProduct.hom_ext", "SemidirectProduct.inl_aut", "SemidirectProduct.inl_aut_inv", "SemidirectProduct.inl_inj", "SemidirectProduct.inl_left_mul_inr_right", "SemidirectProduct.inr_injective", "SemidirectProduct.left_inr", "SemidirectProduct.lift_comp_inr", "SemidirectProduct.lift_inl", "SemidirectProduct.lift_unique", "SemidirectProduct.map_comp_inl", "SemidirectProduct.map_comp_inr", "SemidirectProduct.map_inl", "SemidirectProduct.map_inr", "SemidirectProduct.map_left", "SemidirectProduct.map_right", "SemidirectProduct.mk_eq_inl_mul_inr", "SemidirectProduct.mul_def", "SemidirectProduct.mul_left", "SemidirectProduct.one_left", "SemidirectProduct.one_right", "SemidirectProduct.range_inl_eq_ker_rightHom", "SemidirectProduct.rightHom_comp_map", "SemidirectProduct.rightHom_inr", "SemidirectProduct.rightHom_surjective", "SemidirectProduct.right_inl", "SemidirectProduct.right_inr", "Semifield.toIsField", "Semigroup.mem_center_iff", "Semigrp.coe_of", "Semigrp.mulEquiv_coe_eq", "SemilatInfCat.coe_forget_to_partOrd", "SemilatInfCat.coe_of", "SemilatSupCat.coe_of", "SemilatSupCat_dual_comp_forget_to_partOrd", "SemilatticeInf.dual_dual", "SemilatticeInf.ext", "SemilatticeInf.ext_inf", "SemilatticeSup.dual_dual", "SemilatticeSup.ext", "SemilatticeSup.ext_sup", "SemilinearIsometryClass.continuous", "SemilinearIsometryClass.diam_range", "SemilinearIsometryClass.ediam_range", "SemilinearIsometryClass.isometry", "SemilinearIsometryClass.lipschitz", "SemilinearIsometryClass.nnnorm_map", "SemilinearMapClass.bound_of_continuous", "SemilinearMapClass.map_smul_inv", "Seminorm.absorbent_ball", "Seminorm.absorbent_closedBall", "Seminorm.absorbent_closedBall_zero", "Seminorm.balanced_ball_zero", "Seminorm.balanced_closedBall_zero", "Seminorm.ball_add_ball_subset", "Seminorm.ball_antitone", "Seminorm.ball_comp", "Seminorm.ball_eq_emptyset", "Seminorm.ball_finset_sup", "Seminorm.ball_finset_sup'", "Seminorm.ball_finset_sup_eq_iInter", "Seminorm.ball_mono", "Seminorm.ball_norm_mul_subset", "Seminorm.ball_smul", "Seminorm.ball_smul_ball", "Seminorm.ball_smul_closedBall", "Seminorm.ball_sup", "Seminorm.ball_zero'", "Seminorm.ball_zero_absorbs_ball_zero", "Seminorm.ball_zero_eq", "Seminorm.ball_zero_eq_preimage_ball", "Seminorm.bddAbove_iff", "Seminorm.bddAbove_of_absorbent", "Seminorm.bddAbove_range_iff", "Seminorm.bot_eq_zero", "Seminorm.bound_of_continuous", "Seminorm.bound_of_continuous_normedSpace", "Seminorm.bound_of_shell", "Seminorm.bound_of_shell_smul", "Seminorm.bound_of_shell_sup", "Seminorm.closedBall_add_closedBall_subset", "Seminorm.closedBall_comp", "Seminorm.closedBall_eq_biInter_ball", "Seminorm.closedBall_eq_emptyset", "Seminorm.closedBall_finset_sup", "Seminorm.closedBall_finset_sup'", "Seminorm.closedBall_finset_sup_eq_iInter", "Seminorm.closedBall_iSup", "Seminorm.closedBall_smul", "Seminorm.closedBall_smul_ball", "Seminorm.closedBall_smul_closedBall", "Seminorm.closedBall_sup", "Seminorm.closedBall_zero'", "Seminorm.coe_add", "Seminorm.coe_bot", "Seminorm.coe_comp", "Seminorm.coe_iSup_eq", "Seminorm.coe_lt_coe", "Seminorm.coe_sSup_eq", "Seminorm.coe_sSup_eq'", "Seminorm.coe_smul", "Seminorm.coe_sup", "Seminorm.comp_apply", "Seminorm.comp_comp", "Seminorm.comp_id", "Seminorm.comp_smul", "Seminorm.comp_zero", "Seminorm.const_isBounded", "Seminorm.cont_normedSpace_to_withSeminorms", "Seminorm.cont_withSeminorms_normedSpace", "Seminorm.continuous", "Seminorm.continuous'", "Seminorm.continuousAt_zero", "Seminorm.continuousAt_zero'", "Seminorm.continuousAt_zero_of_forall", "Seminorm.continuousAt_zero_of_forall'", "Seminorm.continuous_from_bounded", "Seminorm.continuous_iSup", "Seminorm.continuous_iff_continuous_comp", "Seminorm.continuous_of_continuousAt_zero", "Seminorm.continuous_of_continuous_comp", "Seminorm.continuous_of_le", "Seminorm.continuous_of_lowerSemicontinuous", "Seminorm.convexOn", "Seminorm.convex_ball", "Seminorm.convex_closedBall", "Seminorm.exists_apply_eq_finset_sup", "Seminorm.finset_sup_apply", "Seminorm.finset_sup_apply_le", "Seminorm.finset_sup_apply_lt", "Seminorm.finset_sup_le_sum", "Seminorm.finset_sup_smul", "Seminorm.gaugeSeminorm_ball", "Seminorm.gauge_ball", "Seminorm.inf_apply", "Seminorm.isBounded_const", "Seminorm.isBounded_sup", "Seminorm.isLUB_sSup", "Seminorm.le_def", "Seminorm.mem_ball", "Seminorm.mem_ball_zero", "Seminorm.mem_closedBall", "Seminorm.mem_closedBall_zero", "Seminorm.neg_ball", "Seminorm.neg_mem_ball_zero", "Seminorm.norm_sub_map_le_sub", "Seminorm.preimage_metric_ball", "Seminorm.preimage_metric_closedBall", "Seminorm.rescale_to_shell", "Seminorm.rescale_to_shell_zpow", "Seminorm.restrictScalars_ball", "Seminorm.restrictScalars_closedBall", "Seminorm.sSup_apply", "Seminorm.sSup_empty", "Seminorm.smul_apply", "Seminorm.smul_ball_preimage", "Seminorm.smul_ball_zero", "Seminorm.smul_closedBall_subset", "Seminorm.smul_closedBall_zero", "Seminorm.smul_inf", "Seminorm.smul_le_smul", "Seminorm.smul_sup", "Seminorm.sub_mem_ball", "Seminorm.uniformContinuous'", "Seminorm.uniformContinuous_of_continuousAt_zero", "Seminorm.uniformContinuous_of_forall", "Seminorm.uniformContinuous_of_forall'", "Seminorm.uniformSpace_eq_of_hasBasis", "Seminorm.uniformity_eq_of_hasBasis", "Seminorm.vadd_ball", "Seminorm.zero_apply", "Seminorm.zero_comp", "SeminormFamily.basisSets_add", "SeminormFamily.basisSets_iff", "SeminormFamily.basisSets_intersect", "SeminormFamily.basisSets_mem", "SeminormFamily.basisSets_neg", "SeminormFamily.basisSets_nonempty", "SeminormFamily.basisSets_singleton_mem", "SeminormFamily.basisSets_smul", "SeminormFamily.basisSets_smul_left", "SeminormFamily.basisSets_smul_right", "SeminormFamily.basisSets_zero", "SeminormFamily.comp_apply", "SeminormFamily.filter_eq_iInf", "SeminormFamily.finset_sup_comp", "SeminormFamily.withSeminorms_iff_nhds_eq_iInf", "SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInf", "SeminormFamily.withSeminorms_iff_uniformSpace_eq_iInf", "SeminormFamily.withSeminorms_of_hasBasis", "SeminormFamily.withSeminorms_of_nhds", "SeminormedAddCommGroup.cauchySeq_of_le_geometric", "SeminormedAddCommGroup.lipschitzWith_sub", "SeminormedCommGroup.mem_closure_iff", "SeminormedGroup.tendstoUniformlyOn_one", "SeminormedGroup.uniformCauchySeqOnFilter_iff_tendstoUniformlyOnFilter_one", "SeminormedGroup.uniformCauchySeqOn_iff_tendstoUniformlyOn_one", "Semiquot.IsPure.min", "Semiquot.bind_def", "Semiquot.blur_eq_blur'", "Semiquot.exists_mem", "Semiquot.ext", "Semiquot.ext_s", "Semiquot.get_mem", "Semiquot.isPure_of_subsingleton", "Semiquot.isPure_univ", "Semiquot.liftOn_ofMem", "Semiquot.map_def", "Semiquot.mem_bind", "Semiquot.mem_blur'", "Semiquot.pure_inj", "Semiquot.pure_le", "Semiring.ext_iff", "Semiring.toNonAssocSemiring_injective", "Semiring.toNonUnitalSemiring_injective", "SemistandardYoungTableau.coe_copy", "SemistandardYoungTableau.col_strict", "SemistandardYoungTableau.col_weak", "SemistandardYoungTableau.copy_eq", "SemistandardYoungTableau.ext", "SemistandardYoungTableau.highestWeight_apply", "SemistandardYoungTableau.row_weak_of_le", "SemistandardYoungTableau.zeros", "SeparatedNhds.disjoint", "SeparatedNhds.disjoint_closure_left", "SeparatedNhds.disjoint_closure_right", "SeparatedNhds.empty_left", "SeparatedNhds.empty_right", "SeparatedNhds.mono", "SeparatedNhds.of_finset_finset", "SeparatedNhds.of_isCompact_isClosed", "SeparatedNhds.of_isCompact_isCompact", "SeparatedNhds.of_isCompact_isCompact_isClosed", "SeparatedNhds.of_singleton_finset", "SeparatedNhds.symm", "SeparatedNhds.union_left", "SeparatingDual.completeSpace_continuousLinearMap_iff", "SeparatingDual.completeSpace_of_completeSpace_continuousLinearMap", "SeparatingDual.completeSpace_of_completeSpace_continuousMultilinearMap", "SeparatingDual.dualMap_surjective_iff", "SeparatingDual.exists_continuousLinearEquiv_apply_eq", "SeparatingDual.exists_eq_one", "SeparatingDual.exists_eq_one_ne_zero_of_ne_zero_pair", "SeparatingDual.exists_ne_zero", "SeparatingDual.exists_separating_of_ne", "SeparatingDual.t2Space", "SeparationQuotient.comap_map_mk_uniformity", "SeparationQuotient.comap_mk_nhdsSet", "SeparationQuotient.comap_mk_nhdsSet_image", "SeparationQuotient.comap_mk_nhds_mk", "SeparationQuotient.comap_mk_uniformity", "SeparationQuotient.completeSpace_iff", "SeparationQuotient.continuousAt_lift", "SeparationQuotient.continuousAt_lift\u2082", "SeparationQuotient.continuousOn_lift", "SeparationQuotient.continuousOn_lift\u2082", "SeparationQuotient.continuousWithinAt_lift\u2082", "SeparationQuotient.continuous_lift", "SeparationQuotient.continuous_lift\u2082", "SeparationQuotient.continuous_mk", "SeparationQuotient.dist_mk", "SeparationQuotient.edist_mk", "SeparationQuotient.inducing_mk", "SeparationQuotient.isClosedMap_mk", "SeparationQuotient.isOpenMap_mk", "SeparationQuotient.lift'_mk", "SeparationQuotient.lift_comp_mk", "SeparationQuotient.lift_mk", "SeparationQuotient.map_comp", "SeparationQuotient.map_id", "SeparationQuotient.map_mk", "SeparationQuotient.map_mk_nhds", "SeparationQuotient.map_mk_nhdsSet", "SeparationQuotient.map_mk_nhdsWithin_preimage", "SeparationQuotient.map_prod_map_mk_nhds", "SeparationQuotient.map_unique", "SeparationQuotient.mk_eq_mk", "SeparationQuotient.preimage_image_mk_closed", "SeparationQuotient.preimage_image_mk_open", "SeparationQuotient.preimage_mk_closure", "SeparationQuotient.preimage_mk_interior", "SeparationQuotient.quotientMap_prodMap_mk", "SeparationQuotient.range_mk", "SeparationQuotient.surjective_mk", "SeparationQuotient.t1Space_iff", "SeparationQuotient.t2Space_iff", "SeparationQuotient.tendsto_lift_nhdsWithin_mk", "SeparationQuotient.tendsto_lift_nhds_mk", "SeparationQuotient.tendsto_lift\u2082_nhds", "SeparationQuotient.tendsto_lift\u2082_nhdsWithin", "SeparationQuotient.uniformContinuous_dom", "SeparationQuotient.uniformContinuous_dom\u2082", "SeparationQuotient.uniformContinuous_lift", "SeparationQuotient.uniformContinuous_lift'", "SeparationQuotient.uniformContinuous_map", "SeparationQuotient.uniformContinuous_uncurry_lift\u2082", "SeparationQuotient.uniformity_eq", "SeqCompactSpace.tendsto_subseq", "SequentialSpace.coinduced", "SequentialSpace.iSup", "SequentialSpace.sup", "SequentiallyComplete.le_nhds_of_seq_tendsto_nhds", "SequentiallyComplete.seq_is_cauchySeq", "SequentiallyComplete.seq_mem", "SequentiallyComplete.seq_pair_mem", "SequentiallyComplete.setSeq_mem", "SequentiallyComplete.setSeq_mono", "SequentiallyComplete.setSeq_prod_subset", "Set.BijOn.bijective", "Set.BijOn.comp", "Set.BijOn.compl", "Set.BijOn.congr", "Set.BijOn.exists", "Set.BijOn.exists_extend", "Set.BijOn.exists_extend_of_subset", "Set.BijOn.forall", "Set.BijOn.injOn", "Set.BijOn.inter", "Set.BijOn.inter_mapsTo", "Set.BijOn.invOn_invFunOn", "Set.BijOn.iterate", "Set.BijOn.mapsTo", "Set.BijOn.perm_pow", "Set.BijOn.perm_zpow", "Set.BijOn.prodMap", "Set.BijOn.subset_range", "Set.BijOn.subset_right", "Set.BijOn.symm", "Set.BijOn.union", "Set.Bounded.mono", "Set.Bounded.rel_mono", "Set.Countable.ae_not_mem", "Set.Countable.biUnion_iff", "Set.Countable.dense_compl", "Set.Countable.exists_cycleOn", "Set.Countable.exists_eq_range", "Set.Countable.exists_pos_forall_sum_le", "Set.Countable.exists_pos_hasSum_le", "Set.Countable.image", "Set.Countable.image2", "Set.Countable.isConnected_compl_of_one_lt_rank", "Set.Countable.isG\u03b4_compl", "Set.Countable.isLindelof", "Set.Countable.isLindelof_biUnion", "Set.Countable.isLindelof_sUnion", "Set.Countable.isPathConnected_compl_of_one_lt_rank", "Set.Countable.isSeparable", "Set.Countable.measure_restrict_compl", "Set.Countable.measure_zero", "Set.Countable.mono", "Set.Countable.of_diff", "Set.Countable.of_subsingleton", "Set.Countable.preimage_of_injOn", "Set.Countable.prod", "Set.Countable.sUnion_iff", "Set.Countable.substructure_closure", "Set.Countable.union", "Set.Definable.compl", "Set.Definable.image_comp", "Set.Definable.image_comp_embedding", "Set.Definable.image_comp_equiv", "Set.Definable.image_comp_sum_inl_fin", "Set.Definable.inter", "Set.Definable.map_expansion", "Set.Definable.mono", "Set.Definable.preimage_comp", "Set.Definable.sdiff", "Set.Definable.union", "Set.Disjoint.set_pi", "Set.EqOn.bijOn_iff", "Set.EqOn.cancel_left", "Set.EqOn.cancel_right", "Set.EqOn.closure", "Set.EqOn.comp_left", "Set.EqOn.comp_right", "Set.EqOn.congr_antitoneOn", "Set.EqOn.congr_strictAntiOn", "Set.EqOn.congr_strictMonoOn", "Set.EqOn.eventuallyEq_nhdsWithin", "Set.EqOn.eventuallyEq_of_mem", "Set.EqOn.image_eq", "Set.EqOn.image_eq_self", "Set.EqOn.inter_preimage_eq", "Set.EqOn.of_subset_closure", "Set.EqOn.piecewise_ite", "Set.EqOn.piecewise_ite'", "Set.EqOn.union", "Set.Equicontinuous.closure", "Set.Equicontinuous.continuous_of_mem", "Set.Equicontinuous.mono", "Set.EquicontinuousAt.closure", "Set.EquicontinuousAt.continuousAt_of_mem", "Set.EquicontinuousAt.mono", "Set.EquicontinuousOn.closure", "Set.EquicontinuousOn.continuousOn_of_mem", "Set.EquicontinuousWithinAt.continuousWithinAt_of_mem", "Set.Finite.absorbs_biInter", "Set.Finite.absorbs_biUnion", "Set.Finite.absorbs_sInter", "Set.Finite.bddAbove", "Set.Finite.bddAbove_biUnion", "Set.Finite.bddBelow_biUnion", "Set.Finite.biUnion'", "Set.Finite.bind", "Set.Finite.card_lt_card", "Set.Finite.cast_ncard_eq", "Set.Finite.closure_biUnion", "Set.Finite.closure_sUnion", "Set.Finite.coeSort_toFinset", "Set.Finite.coe_toFinset", "Set.Finite.cofinite_inf_principal_compl", "Set.Finite.cofinite_inf_principal_diff", "Set.Finite.compl_mem_cocardinal", "Set.Finite.compl_mem_cofinite", "Set.Finite.convexHull_eq", "Set.Finite.convexHull_eq_image", "Set.Finite.countable", "Set.Finite.csSup_lt_iff", "Set.Finite.dependent_image", "Set.Finite.diff", "Set.Finite.dinduction_on", "Set.Finite.einfsep", "Set.Finite.einfsep_exists_of_nontrivial", "Set.Finite.encard_eq_coe", "Set.Finite.encard_eq_coe_toFinset_card", "Set.Finite.encard_lt_encard", "Set.Finite.encard_lt_top", "Set.Finite.eq_insert_of_subset_of_encard_eq_succ", "Set.Finite.eq_of_subset_of_card_le", "Set.Finite.eq_of_subset_of_encard_le", "Set.Finite.eq_of_subset_of_encard_le'", "Set.Finite.eventuallyEq_iInter", "Set.Finite.eventuallyEq_iUnion", "Set.Finite.eventuallyLE_iInter", "Set.Finite.eventuallyLE_iUnion", "Set.Finite.exists_finset", "Set.Finite.exists_finset_coe", "Set.Finite.exists_ge", "Set.Finite.exists_injOn_of_encard_le", "Set.Finite.exists_le", "Set.Finite.exists_lt_map_eq_of_forall_mem", "Set.Finite.exists_maximal_wrt", "Set.Finite.exists_maximal_wrt'", "Set.Finite.exists_minimal_wrt", "Set.Finite.exists_minimal_wrt'", "Set.Finite.exists_not_mem", "Set.Finite.fin_embedding", "Set.Finite.finite_of_compl", "Set.Finite.finite_subsets", "Set.Finite.iInf_biSup_of_antitone", "Set.Finite.iInf_biSup_of_monotone", "Set.Finite.iSup_biInf_of_antitone", "Set.Finite.iSup_biInf_of_monotone", "Set.Finite.iUnion", "Set.Finite.image", "Set.Finite.image2", "Set.Finite.induction_on", "Set.Finite.induction_on'", "Set.Finite.induction_to", "Set.Finite.induction_to_univ", "Set.Finite.infClosure", "Set.Finite.inf_of_left", "Set.Finite.infinite_compl", "Set.Finite.infsep", "Set.Finite.infsep_of_nontrivial", "Set.Finite.infsep_zero_iff_subsingleton", "Set.Finite.injOn_iff_bijOn_of_mapsTo", "Set.Finite.injOn_of_encard_image_eq", "Set.Finite.inter_of_left", "Set.Finite.inter_of_right", "Set.Finite.interior_sInter", "Set.Finite.isBounded", "Set.Finite.isClopen_biInter", "Set.Finite.isClosed", "Set.Finite.isClosed_biUnion", "Set.Finite.isCompact_biUnion", "Set.Finite.isCompact_closure", "Set.Finite.isCompact_convexHull", "Set.Finite.isCompact_exterior", "Set.Finite.isCompact_sUnion", "Set.Finite.isG\u03b4_compl", "Set.Finite.isLindelof", "Set.Finite.isLindelof_biUnion", "Set.Finite.isLindelof_sUnion", "Set.Finite.isOpen_biInter", "Set.Finite.isOpen_sInter", "Set.Finite.latticeClosure", "Set.Finite.lowerClosure", "Set.Finite.map", "Set.Finite.measurableSet_biInter", "Set.Finite.measurableSet_biUnion", "Set.Finite.measurableSet_sInter", "Set.Finite.measurableSet_sUnion", "Set.Finite.mem_toFinset", "Set.Finite.mul", "Set.Finite.multipliable", "Set.Finite.multipliable_compl_iff", "Set.Finite.nullMeasurableSet", "Set.Finite.nullMeasurableSet_biInter", "Set.Finite.nullMeasurableSet_sInter", "Set.Finite.ofFinset", "Set.Finite.of_diff", "Set.Finite.of_finite_image", "Set.Finite.of_preimage", "Set.Finite.of_prod_right", "Set.Finite.of_subsingleton", "Set.Finite.of_summable_const", "Set.Finite.of_surjOn", "Set.Finite.offDiag", "Set.Finite.partiallyWellOrderedOn", "Set.Finite.pi", "Set.Finite.pi'", "Set.Finite.preimage", "Set.Finite.preimage_embedding", "Set.Finite.prod", "Set.Finite.relatively_discrete", "Set.Finite.sInter", "Set.Finite.sUnion", "Set.Finite.smul", "Set.Finite.smul_set", "Set.Finite.ssubset_toFinset", "Set.Finite.subset", "Set.Finite.subset_toFinset", "Set.Finite.supClosure", "Set.Finite.t2_separation", "Set.Finite.toFinset_diff", "Set.Finite.toFinset_eq_toFinset", "Set.Finite.toFinset_eq_univ", "Set.Finite.toFinset_image", "Set.Finite.toFinset_inj", "Set.Finite.toFinset_insert", "Set.Finite.toFinset_insert'", "Set.Finite.toFinset_mul", "Set.Finite.toFinset_nonempty", "Set.Finite.toFinset_offDiag", "Set.Finite.toFinset_prod", "Set.Finite.toFinset_range", "Set.Finite.toFinset_setOf", "Set.Finite.toFinset_singleton", "Set.Finite.toFinset_smul", "Set.Finite.toFinset_smul_set", "Set.Finite.toFinset_ssubset", "Set.Finite.toFinset_ssubset_toFinset", "Set.Finite.toFinset_subset", "Set.Finite.toFinset_subset_toFinset", "Set.Finite.toFinset_union", "Set.Finite.toFinset_vsub", "Set.Finite.to_subtype", "Set.Finite.union", "Set.Finite.upperClosure", "Set.Finite.vsub", "Set.Finset.coe_einfsep", "Set.Icc.abs_sub_addNSMul_le", "Set.Icc.addNSMul_eq_right", "Set.Icc.addNSMul_zero", "Set.Icc.coe_eq_one", "Set.Icc.coe_eq_zero", "Set.Icc.coe_iInf", "Set.Icc.coe_iSup", "Set.Icc.coe_le_one", "Set.Icc.coe_ne_one", "Set.Icc.coe_nonneg", "Set.Icc.coe_one", "Set.Icc.coe_pow", "Set.Icc.coe_sSup", "Set.Icc.coe_zero", "Set.Icc.infinite", "Set.Icc.le_one", "Set.Icc.mem_iff_one_sub_mem", "Set.Icc.mk_one", "Set.Icc.mk_zero", "Set.Icc.monotone_addNSMul", "Set.Icc.mul_le_left", "Set.Icc.one_sub_le_one", "Set.Icc.one_sub_mem", "Set.Icc.one_sub_nonneg", "Set.IccExtend_apply", "Set.IccExtend_eq_self", "Set.IccExtend_left", "Set.IccExtend_of_le_left", "Set.IccExtend_of_mem", "Set.IccExtend_range", "Set.IccExtend_right", "Set.IccExtend_val", "Set.Icc_add_bij", "Set.Icc_bot", "Set.Icc_bot_top", "Set.Icc_def", "Set.Icc_diff_Ico_same", "Set.Icc_diff_Ioc_same", "Set.Icc_diff_Ioo_same", "Set.Icc_diff_both", "Set.Icc_diff_left", "Set.Icc_diff_pi_univ_Ioc_subset", "Set.Icc_diff_pi_univ_Ioo_subset", "Set.Icc_diff_right", "Set.Icc_eq_empty", "Set.Icc_eq_empty_iff", "Set.Icc_eq_singleton_iff", "Set.Icc_inter_Icc", "Set.Icc_inter_Icc_eq_singleton", "Set.Icc_min_max", "Set.Icc_mul_Icc_subset'", "Set.Icc_mul_Ico_subset'", "Set.Icc_prod_Icc", "Set.Icc_prod_eq", "Set.Icc_self", "Set.Icc_ssubset_Icc_right", "Set.Icc_subset_Icc", "Set.Icc_subset_Icc_left", "Set.Icc_subset_Icc_union_Ioc", "Set.Icc_subset_Ici_iff", "Set.Icc_subset_Ici_self", "Set.Icc_subset_Ico_right", "Set.Icc_subset_Ico_union_Icc", "Set.Icc_subset_Iic_iff", "Set.Icc_subset_Iic_self", "Set.Icc_subset_Iio_iff", "Set.Icc_subset_Ioi_iff", "Set.Icc_subset_Ioo", "Set.Icc_subset_uIcc", "Set.Icc_top", "Set.Icc_union_Icc", "Set.Icc_union_Icc'", "Set.Icc_union_Ici", "Set.Icc_union_Ici'", "Set.Icc_union_Ici_eq_Ici", "Set.Icc_union_Ico_eq_Ico", "Set.Icc_union_Ioc_eq_Icc", "Set.Icc_union_Ioi_eq_Ici", "Set.Icc_union_Ioo_eq_Ico", "Set.Ici.coe_bot", "Set.Ici.coe_top", "Set.Ici.isAtom_iff", "Set.IciExtend_coe", "Set.IciExtend_of_mem", "Set.Ici_add_bij", "Set.Ici_bot", "Set.Ici_ciSup", "Set.Ici_def", "Set.Ici_diff_Ici", "Set.Ici_diff_Ioi", "Set.Ici_diff_Ioi_same", "Set.Ici_diff_left", "Set.Ici_disjoint_Iic", "Set.Ici_eq_singleton_iff_isTop", "Set.Ici_iSup", "Set.Ici_iSup\u2082", "Set.Ici_infinite", "Set.Ici_inter_Ici", "Set.Ici_inter_Iic", "Set.Ici_inter_Iio", "Set.Ici_mul_Ici_subset'", "Set.Ici_mul_Ioi_subset'", "Set.Ici_prod_Ici", "Set.Ici_sSup", "Set.Ici_subset_Icc_union_Ici", "Set.Ici_subset_Icc_union_Ioi", "Set.Ici_subset_Ici", "Set.Ici_subset_Ico_union_Ici", "Set.Ici_subset_Ioi", "Set.Ico.coe_eq_zero", "Set.Ico.coe_lt_one", "Set.Ico.coe_mul", "Set.Ico.coe_ne_zero", "Set.Ico.coe_nonneg", "Set.Ico.mk_zero", "Set.Ico_add_bij", "Set.Ico_bot", "Set.Ico_diff_Iio", "Set.Ico_diff_Ioo_same", "Set.Ico_diff_left", "Set.Ico_disjoint_Ico", "Set.Ico_disjoint_Ico_same", "Set.Ico_eq_Ico_iff", "Set.Ico_eq_empty", "Set.Ico_eq_empty_iff", "Set.Ico_eq_empty_of_le", "Set.Ico_infinite", "Set.Ico_insert_right", "Set.Ico_inter_Ici", "Set.Ico_inter_Ico", "Set.Ico_inter_Iio", "Set.Ico_mul_Icc_subset'", "Set.Ico_mul_Ioc_subset'", "Set.Ico_subset_Icc_self", "Set.Ico_subset_Icc_union_Ico", "Set.Ico_subset_Icc_union_Ioo", "Set.Ico_subset_Ici_self", "Set.Ico_subset_Ico_left", "Set.Ico_subset_Ico_right", "Set.Ico_subset_Ico_union_Ico", "Set.Ico_union_Icc_eq_Icc", "Set.Ico_union_Ici", "Set.Ico_union_Ici'", "Set.Ico_union_Ici_eq_Ici", "Set.Ico_union_Ico", "Set.Ico_union_Ico'", "Set.Ico_union_Ico_eq_Ico", "Set.Ico_union_right", "Set.Iic.codisjoint_iff", "Set.Iic.coe_biInf", "Set.Iic.coe_biSup", "Set.Iic.coe_bot", "Set.Iic.coe_iInf", "Set.Iic.coe_iSup", "Set.Iic.coe_sInf", "Set.Iic.disjoint_iff", "Set.Iic.eq_top_iff", "Set.Iic.isCoatom_iff", "Set.Iic.isCompactElement", "Set.Iic.isCompl_iff", "Set.Iic.isCompl_inf_inf_of_isCompl_of_le", "Set.IicExtend_coe", "Set.IicExtend_of_mem", "Set.IicExtend_self", "Set.Iic_add_bij", "Set.Iic_bot", "Set.Iic_ciInf", "Set.Iic_diff_Iic", "Set.Iic_diff_Iio", "Set.Iic_diff_Iio_same", "Set.Iic_diff_right", "Set.Iic_disjoint_Ici", "Set.Iic_disjoint_Ioc", "Set.Iic_disjoint_Ioi", "Set.Iic_iInf", "Set.Iic_iInf\u2082", "Set.Iic_inj", "Set.Iic_injective", "Set.Iic_inter_Ici", "Set.Iic_inter_Iic", "Set.Iic_inter_Ioc_of_le", "Set.Iic_inter_Ioi", "Set.Iic_mul_Iic_subset'", "Set.Iic_mul_Iio_subset'", "Set.Iic_prod_Iic", "Set.Iic_prod_eq", "Set.Iic_sInf", "Set.Iic_subset_Iic", "Set.Iic_subset_Iic_union_Icc", "Set.Iic_subset_Iic_union_Ioc", "Set.Iic_subset_Iio_union_Icc", "Set.Iic_union_Icc", "Set.Iic_union_Icc'", "Set.Iic_union_Icc_eq_Iic", "Set.Iic_union_Ici", "Set.Iic_union_Ici_of_le", "Set.Iic_union_Ioc", "Set.Iic_union_Ioc'", "Set.Iic_union_Ioc_eq_Iic", "Set.Iic_union_Ioi", "Set.Iic_union_Ioi_of_le", "Set.Iic_union_Ioo_eq_Iio", "Set.Iio_add_bij", "Set.Iio_bot", "Set.Iio_def", "Set.Iio_diff_Iic", "Set.Iio_diff_Iio", "Set.Iio_infinite", "Set.Iio_injective", "Set.Iio_insert", "Set.Iio_inter_Ici", "Set.Iio_inter_Ioi", "Set.Iio_inter_Ioo", "Set.Iio_mul_Iic_subset'", "Set.Iio_subset_Iic", "Set.Iio_subset_Iic_iff", "Set.Iio_subset_Iic_self", "Set.Iio_subset_Iic_union_Ioo", "Set.Iio_subset_Iio", "Set.Iio_subset_Iio_iff", "Set.Iio_subset_Iio_union_Ico", "Set.Iio_union_Icc_eq_Iic", "Set.Iio_union_Ici_of_le", "Set.Iio_union_Ico", "Set.Iio_union_Ico'", "Set.Iio_union_Ico_eq_Iio", "Set.Iio_union_Ioi", "Set.Iio_union_Ioo", "Set.Iio_union_Ioo'", "Set.Iio_union_right", "Set.Infinite.Nat.sSup_eq_zero", "Set.Infinite.card_eq_zero", "Set.Infinite.encard_eq", "Set.Infinite.exists_accPt_cofinite_inf_principal", "Set.Infinite.exists_accPt_cofinite_inf_principal_of_subset_isCompact", "Set.Infinite.exists_lt", "Set.Infinite.exists_lt_map_eq_of_mapsTo", "Set.Infinite.exists_ne_map_eq_of_mapsTo", "Set.Infinite.exists_not_mem_finite", "Set.Infinite.exists_not_mem_finset", "Set.Infinite.exists_subset_card_eq", "Set.Infinite.exists_subset_ncard_eq", "Set.Infinite.exists_superset_ncard_eq", "Set.Infinite.image2_right", "Set.Infinite.meas_eq_top", "Set.Infinite.mono", "Set.Infinite.ncard", "Set.Infinite.nonempty", "Set.Infinite.nontrivial", "Set.Infinite.not_bddAbove", "Set.Infinite.not_bddBelow", "Set.Infinite.of_smul_set", "Set.Infinite.prod_left", "Set.Infinite.prod_right", "Set.InjOn.bijOn_image", "Set.InjOn.cancel_left", "Set.InjOn.congr", "Set.InjOn.encard_image", "Set.InjOn.exists_mem_nhdsSet", "Set.InjOn.image", "Set.InjOn.imageFactorization_injective", "Set.InjOn.image_biInter_eq", "Set.InjOn.image_diff", "Set.InjOn.image_diff_subset", "Set.InjOn.image_eq_image_iff", "Set.InjOn.image_iInter_eq", "Set.InjOn.image_inter", "Set.InjOn.image_of_comp", "Set.InjOn.image_ssubset_image_iff", "Set.InjOn.image_subset_image_iff", "Set.InjOn.invFunOn_image", "Set.InjOn.mono", "Set.InjOn.ne_iff", "Set.InjOn.pairwise_image", "Set.InjOn.prodMap", "Set.InjOn.rightInvOn_of_leftInvOn", "Set.Intersecting.card_le", "Set.Intersecting.disjoint_map_compl", "Set.Intersecting.exists_card_eq", "Set.Intersecting.exists_mem_finset", "Set.Intersecting.insert", "Set.Intersecting.isUpperSet", "Set.Intersecting.isUpperSet'", "Set.Intersecting.is_max_iff_card_eq", "Set.Intersecting.ne_bot", "Set.InvOn.bijOn", "Set.InvOn.extendDomain", "Set.InvOn.prodMap", "Set.InvOn.symm", "Set.Ioc.coe_eq_one", "Set.Ioc.coe_le_one", "Set.Ioc.coe_mul", "Set.Ioc.coe_one", "Set.Ioc.coe_pos", "Set.Ioc.coe_pow", "Set.Ioc.mk_one", "Set.Ioc_add_bij", "Set.Ioc_def", "Set.Ioc_diff_Iic", "Set.Ioc_diff_Ioi", "Set.Ioc_diff_Ioo_same", "Set.Ioc_diff_right", "Set.Ioc_disjoint_Ioc", "Set.Ioc_disjoint_Ioc_same", "Set.Ioc_disjoint_Ioi", "Set.Ioc_disjoint_Ioi_same", "Set.Ioc_eq_empty", "Set.Ioc_eq_empty_iff", "Set.Ioc_insert_left", "Set.Ioc_inter_Iic", "Set.Ioc_inter_Ioc", "Set.Ioc_inter_Ioi", "Set.Ioc_inter_Ioo_of_left_lt", "Set.Ioc_inter_Ioo_of_right_le", "Set.Ioc_mul_Ico_subset'", "Set.Ioc_self", "Set.Ioc_subset_Icc_self", "Set.Ioc_subset_Iic_self", "Set.Ioc_subset_Ioc", "Set.Ioc_subset_Ioc_iff", "Set.Ioc_subset_Ioc_left", "Set.Ioc_subset_Ioc_union_Icc", "Set.Ioc_subset_Ioc_union_Ioc", "Set.Ioc_subset_Ioi_self", "Set.Ioc_top", "Set.Ioc_union_Icc_eq_Ioc", "Set.Ioc_union_Ici_eq_Ioi", "Set.Ioc_union_Ioc", "Set.Ioc_union_Ioc'", "Set.Ioc_union_Ioc_eq_Ioc", "Set.Ioc_union_Ioc_left", "Set.Ioc_union_Ioc_right", "Set.Ioc_union_Ioc_symm", "Set.Ioc_union_Ioc_union_Ioc_cycle", "Set.Ioc_union_Ioi", "Set.Ioc_union_Ioi'", "Set.Ioc_union_Ioi_eq_Ioi", "Set.Ioc_union_Ioo_eq_Ioo", "Set.Ioc_union_left", "Set.Ioi_add_bij", "Set.Ioi_def", "Set.Ioi_diff_Ici", "Set.Ioi_diff_Ioi", "Set.Ioi_inj", "Set.Ioi_insert", "Set.Ioi_inter_Iic", "Set.Ioi_inter_Iio", "Set.Ioi_inter_Ioi", "Set.Ioi_inter_Ioo", "Set.Ioi_mul_Ici_subset'", "Set.Ioi_subset_Ici", "Set.Ioi_subset_Ici_iff", "Set.Ioi_subset_Ici_self", "Set.Ioi_subset_Ioc_union_Ici", "Set.Ioi_subset_Ioi", "Set.Ioi_subset_Ioi_iff", "Set.Ioi_subset_Ioo_union_Ici", "Set.Ioi_union_left", "Set.Ioo.infinite", "Set.Ioo.lt_one", "Set.Ioo.mem_iff_one_sub_mem", "Set.Ioo.one_minus_lt_one", "Set.Ioo.one_minus_pos", "Set.Ioo.one_sub_mem", "Set.Ioo.pos", "Set.Ioo_add_bij", "Set.Ioo_def", "Set.Ioo_disjoint_Ioo", "Set.Ioo_eq_empty_iff", "Set.Ioo_eq_empty_of_le", "Set.Ioo_infinite", "Set.Ioo_insert_left", "Set.Ioo_insert_right", "Set.Ioo_inter_Iio", "Set.Ioo_inter_Ioc_of_left_le", "Set.Ioo_inter_Ioc_of_right_lt", "Set.Ioo_inter_Ioi", "Set.Ioo_inter_Ioo", "Set.Ioo_self", "Set.Ioo_subset_Icc_self", "Set.Ioo_subset_Ico_self", "Set.Ioo_subset_Iio_self", "Set.Ioo_subset_Ioc_self", "Set.Ioo_subset_Ioc_union_Ico", "Set.Ioo_subset_Ioc_union_Ioo", "Set.Ioo_subset_Ioi_self", "Set.Ioo_subset_Ioo", "Set.Ioo_subset_Ioo_iff", "Set.Ioo_subset_Ioo_left", "Set.Ioo_subset_Ioo_right", "Set.Ioo_union_Ici_eq_Ioi", "Set.Ioo_union_Ico_eq_Ioo", "Set.Ioo_union_Ioi", "Set.Ioo_union_Ioi'", "Set.Ioo_union_Ioo", "Set.Ioo_union_Ioo'", "Set.Ioo_union_both", "Set.Ioo_union_left", "Set.Ioo_union_right", "Set.IsPWO.exists_monotone_subseq", "Set.IsPWO.image_of_monotone", "Set.IsPWO.isWF", "Set.IsPWO.mono", "Set.IsPWO.mul", "Set.IsPWO.prod", "Set.IsPWO.submonoid_closure", "Set.IsPWO.union", "Set.IsWF.isPWO", "Set.IsWF.le_min_iff", "Set.IsWF.min_le", "Set.IsWF.min_le_min_of_subset", "Set.IsWF.min_mul", "Set.IsWF.min_of_subset_not_lt_min", "Set.IsWF.min_union", "Set.IsWF.mul", "Set.IsWF.not_lt_min", "Set.IsWF.union", "Set.LeftInvOn.comp", "Set.LeftInvOn.congr_left", "Set.LeftInvOn.congr_right", "Set.LeftInvOn.eq", "Set.LeftInvOn.extendDomain", "Set.LeftInvOn.filter_map_Iic", "Set.LeftInvOn.image_image", "Set.LeftInvOn.image_inter", "Set.LeftInvOn.image_inter'", "Set.LeftInvOn.injOn", "Set.LeftInvOn.map_nhdsWithin_eq", "Set.LeftInvOn.mapsTo", "Set.LeftInvOn.rightInvOn_image", "Set.LeftInvOn.surjOn", "Set.MapsTo.closure", "Set.MapsTo.closure_of_continuousWithinAt", "Set.MapsTo.coe_iterate_restrict", "Set.MapsTo.coe_restrict", "Set.MapsTo.comp", "Set.MapsTo.comp_right", "Set.MapsTo.congr", "Set.MapsTo.countable_of_injOn", "Set.MapsTo.exists_equiv_extend_of_card_eq", "Set.MapsTo.extendDomain", "Set.MapsTo.image_subset", "Set.MapsTo.inter", "Set.MapsTo.inter_bijOn", "Set.MapsTo.inter_inter", "Set.MapsTo.iterate_restrict", "Set.MapsTo.mem_iff", "Set.MapsTo.mono", "Set.MapsTo.nonempty", "Set.MapsTo.perm_pow", "Set.MapsTo.piecewise_ite", "Set.MapsTo.range_restrict", "Set.MapsTo.restrict_commutes", "Set.MapsTo.restrict_eq_codRestrict", "Set.MapsTo.restrict_inj", "Set.MapsTo.restrict_surjective_iff", "Set.MapsTo.subset_preimage", "Set.MapsTo.union", "Set.MapsTo.val_restrict_apply", "Set.MulAntidiagonal.eq_of_fst_eq_fst", "Set.MulAntidiagonal.eq_of_snd_eq_snd", "Set.MulAntidiagonal.finite_of_isPWO", "Set.MulAntidiagonal.fst_eq_fst_iff_snd_eq_snd", "Set.Nat.card_coe_set_eq", "Set.Nat.encard_range", "Set.Nonempty.bddBelow_upperBounds", "Set.Nonempty.csInf_mem", "Set.Nonempty.eq_univ", "Set.Nonempty.eq_zero", "Set.Nonempty.fst", "Set.Nonempty.image", "Set.Nonempty.image_const", "Set.Nonempty.infs", "Set.Nonempty.inl", "Set.Nonempty.inr", "Set.Nonempty.intrinsicInterior", "Set.Nonempty.inv", "Set.Nonempty.left", "Set.Nonempty.mono", "Set.Nonempty.mul", "Set.Nonempty.mul_zero", "Set.Nonempty.not_subset_empty", "Set.Nonempty.of_image2_left", "Set.Nonempty.of_image2_right", "Set.Nonempty.of_infs_right", "Set.Nonempty.of_mul_left", "Set.Nonempty.of_sUnion_eq_univ", "Set.Nonempty.of_smul_left", "Set.Nonempty.of_sups_left", "Set.Nonempty.of_sups_right", "Set.Nonempty.of_vsub_left", "Set.Nonempty.of_vsub_right", "Set.Nonempty.one_mem_div", "Set.Nonempty.pairwise_eq_iff_exists_eq", "Set.Nonempty.pairwise_iff_exists_forall", "Set.Nonempty.preimage", "Set.Nonempty.preimage'", "Set.Nonempty.prod", "Set.Nonempty.sigma", "Set.Nonempty.sigma_snd", "Set.Nonempty.smul", "Set.Nonempty.smul_set", "Set.Nonempty.snd", "Set.Nonempty.some_mem", "Set.Nonempty.star", "Set.Nonempty.subset_one_iff", "Set.Nonempty.subset_pair_iff_eq", "Set.Nonempty.subset_preimage_const", "Set.Nonempty.subset_singleton_iff", "Set.Nonempty.sups", "Set.Nonempty.to_subtype", "Set.Nonempty.vsub", "Set.Nonempty.zero_div", "Set.Nonempty.zero_mul", "Set.Nonempty.zero_smul", "Set.Nontrivial.choose_fst_mem", "Set.Nontrivial.choose_snd_mem", "Set.Nontrivial.einfsep_exists_of_finite", "Set.Nontrivial.einfsep_lt_top", "Set.Nontrivial.einfsep_ne_top", "Set.Nontrivial.exists_ne", "Set.Nontrivial.image", "Set.Nontrivial.infsep_anti", "Set.Nontrivial.infsep_eq_iInf", "Set.Nontrivial.infsep_exists_of_finite", "Set.Nontrivial.infsep_of_fintype", "Set.Nontrivial.le_infsep", "Set.Nontrivial.le_infsep_iff", "Set.Nontrivial.mono", "Set.Nontrivial.nonempty", "Set.Nontrivial.not_subset_empty", "Set.Nontrivial.preimage", "Set.OrdConnected.IciExtend", "Set.OrdConnected.IicExtend", "Set.OrdConnected.apply_covBy_apply_iff", "Set.OrdConnected.convex_of_chain", "Set.OrdConnected.dual", "Set.OrdConnected.image_coe_nnreal_ennreal", "Set.OrdConnected.image_deriv", "Set.OrdConnected.image_derivWithin", "Set.OrdConnected.image_ennreal_ofReal", "Set.OrdConnected.image_hasDerivWithinAt", "Set.OrdConnected.image_real_toNNReal", "Set.OrdConnected.interior", "Set.OrdConnected.measurableSet", "Set.OrdConnected.mem_nhdsWithin_Ici", "Set.OrdConnected.mem_nhdsWithin_Iio", "Set.OrdConnected.null_frontier", "Set.OrdConnected.out", "Set.OrdConnected.preimage_anti", "Set.OrdConnected.preimage_coe_nnreal_real", "Set.OrdConnected.preimage_ennreal_ofReal", "Set.OrdConnected.restrict", "Set.OrdConnected.smul", "Set.OrdConnected.starConvex", "Set.OrdConnected.strictConvex", "Set.OrdConnected.upperClosure_inter_lowerClosure", "Set.Pairwise.eq", "Set.Pairwise.image", "Set.Pairwise.imp", "Set.Pairwise.imp_on", "Set.Pairwise.insert", "Set.Pairwise.insert_of_symmetric", "Set.Pairwise.mono", "Set.Pairwise.mono'", "Set.Pairwise.on_injective", "Set.PairwiseDisjoint.biUnion", "Set.PairwiseDisjoint.biUnion_finset", "Set.PairwiseDisjoint.countable_of_isOpen", "Set.PairwiseDisjoint.countable_of_nonempty_interior", "Set.PairwiseDisjoint.elim", "Set.PairwiseDisjoint.elim_set", "Set.PairwiseDisjoint.eq_or_disjoint", "Set.PairwiseDisjoint.exists_mem_filter", "Set.PairwiseDisjoint.exists_mem_filter_basis", "Set.PairwiseDisjoint.image_finset_of_le", "Set.PairwiseDisjoint.insert", "Set.PairwiseDisjoint.insert_of_not_mem", "Set.PairwiseDisjoint.isPartition_of_exists_of_ne_empty", "Set.PairwiseDisjoint.mono", "Set.PairwiseDisjoint.prod", "Set.PairwiseDisjoint.prod_left", "Set.PairwiseDisjoint.range", "Set.PairwiseDisjoint.subset", "Set.PairwiseDisjoint.subset_of_biUnion_subset_biUnion", "Set.PairwiseDisjoint.union", "Set.PartiallyWellOrderedOn.exists_min_bad_of_exists_bad", "Set.PartiallyWellOrderedOn.exists_monotone_subseq", "Set.PartiallyWellOrderedOn.fiberProdLex", "Set.PartiallyWellOrderedOn.iff_not_exists_isMinBadSeq", "Set.PartiallyWellOrderedOn.imageProdLex", "Set.PartiallyWellOrderedOn.image_of_monotone_on", "Set.PartiallyWellOrderedOn.insert", "Set.PartiallyWellOrderedOn.partiallyWellOrderedOn_sublistForall\u2082", "Set.PartiallyWellOrderedOn.prod", "Set.PartiallyWellOrderedOn.subsetProdLex", "Set.PartiallyWellOrderedOn.union", "Set.PartiallyWellOrderedOn.wellFoundedOn", "Set.RightInvOn.comp", "Set.RightInvOn.congr_left", "Set.RightInvOn.congr_right", "Set.RightInvOn.eq", "Set.RightInvOn.eqOn", "Set.RightInvOn.extendDomain", "Set.RightInvOn.filter_map_Iic", "Set.RightInvOn.mapsTo", "Set.RightInvOn.prodMap", "Set.RightInvOn.surjOn", "Set.Sigma.univ", "Set.Sized.card_le", "Set.Sized.compls", "Set.Sized.empty_mem_iff", "Set.Sized.isAntichain", "Set.Sized.mono", "Set.Sized.shadow", "Set.Sized.shadow_iterate", "Set.Sized.subsingleton", "Set.Sized.univ_mem_iff", "Set.Sized.upShadow", "Set.Sized.uvCompression", "Set.Subset.antisymm", "Set.Subset.antisymm_iff", "Set.Subset.refl", "Set.Subset.rfl", "Set.Subset.trans", "Set.Subsingleton.anti", "Set.Subsingleton.antitoneOn", "Set.Subsingleton.closure", "Set.Subsingleton.coe_sort", "Set.Subsingleton.continuousOn", "Set.Subsingleton.countable", "Set.Subsingleton.differentiableOn", "Set.Subsingleton.einfsep", "Set.Subsingleton.equitableOn", "Set.Subsingleton.finite", "Set.Subsingleton.holderOnWith", "Set.Subsingleton.image", "Set.Subsingleton.image2", "Set.Subsingleton.induction_on", "Set.Subsingleton.infsep_zero", "Set.Subsingleton.injOn", "Set.Subsingleton.intersecting", "Set.Subsingleton.isAntichain", "Set.Subsingleton.isCompact", "Set.Subsingleton.isCornerFree", "Set.Subsingleton.isEquipartition", "Set.Subsingleton.isG\u03b4_compl", "Set.Subsingleton.isLindelof", "Set.Subsingleton.isPWO", "Set.Subsingleton.isPreirreducible", "Set.Subsingleton.isWF", "Set.Subsingleton.isWeakAntichain", "Set.Subsingleton.maximals_eq", "Set.Subsingleton.measurableSet", "Set.Subsingleton.minimals_eq", "Set.Subsingleton.monotoneOn", "Set.Subsingleton.partiallyWellOrderedOn", "Set.Subsingleton.strictConvex", "Set.Subsingleton.threeGPFree", "Set.Subsingleton.wellFoundedOn", "Set.Sum.elim_range", "Set.SurjOn.bijOn_subset", "Set.SurjOn.cancel_right", "Set.SurjOn.comp", "Set.SurjOn.comp_left", "Set.SurjOn.comp_right", "Set.SurjOn.congr", "Set.SurjOn.extendDomain", "Set.SurjOn.image_invFunOn_image", "Set.SurjOn.image_invFunOn_image_of_subset", "Set.SurjOn.image_preimage", "Set.SurjOn.inter_inter", "Set.SurjOn.invOn_invFunOn", "Set.SurjOn.iterate", "Set.SurjOn.leftInvOn_of_rightInvOn", "Set.SurjOn.mapsTo_compl", "Set.SurjOn.mapsTo_invFunOn", "Set.SurjOn.perm_pow", "Set.SurjOn.prodMap", "Set.SurjOn.rightInvOn_invFunOn", "Set.SurjOn.subset_range", "Set.SurjOn.union", "Set.SurjOn.union_union", "Set.Unbounded.mono", "Set.Unbounded.rel_mono", "Set.UniformEquicontinuous.mono", "Set.UniformEquicontinuous.uniformContinuous_of_mem", "Set.UniformEquicontinuousOn.closure", "Set.UniformEquicontinuousOn.uniformContinuousOn_of_mem", "Set.WellFoundedOn.acc_iff_wellFoundedOn", "Set.WellFoundedOn.induction", "Set.WellFoundedOn.insert", "Set.WellFoundedOn.prod_lex_of_wellFoundedOn_fiber", "Set.WellFoundedOn.sigma_lex_of_wellFoundedOn_fiber", "Set.WellFoundedOn.subset", "Set.WellFoundedOn.union", "Set.abs_projIcc_sub_projIcc", "Set.abs_sub_le_of_uIcc_subset_uIcc", "Set.abs_sub_right_of_mem_uIcc", "Set.accumulate_subset_accumulate", "Set.accumulate_subset_iUnion", "Set.add_mem_Ico_iff_left", "Set.add_mem_Ioc_iff_right", "Set.add_mem_Ioo_iff_left", "Set.add_mem_center", "Set.add_mem_centralizer", "Set.add_smul_subset", "Set.algebraMap_mem_center", "Set.algebraMap_mem_centralizer", "Set.antitoneOn_iff_antitone", "Set.antitoneOn_singleton", "Set.antitone_mem", "Set.antitone_setOf", "Set.apply_piecewise", "Set.apply_piecewise\u2082", "Set.apply_rangeSplitting", "Set.bdd_below_bdd_above_iff_subset_uIcc", "Set.biInter_and", "Set.biInter_and'", "Set.biInter_empty", "Set.biInter_eq_iInter", "Set.biInter_finsetSigma", "Set.biInter_finsetSigma_univ", "Set.biInter_finsetSigma_univ'", "Set.biInter_iUnion", "Set.biInter_image", "Set.biInter_insert", "Set.biInter_inter", "Set.biInter_le_succ", "Set.biInter_le_succ'", "Set.biInter_lt_succ", "Set.biInter_lt_succ'", "Set.biInter_pair", "Set.biInter_range", "Set.biInter_sigma", "Set.biInter_sigma'", "Set.biInter_singleton", "Set.biInter_subset_biInter_left", "Set.biInter_union", "Set.biUnion_Ico_eq_Iio_self_iff", "Set.biUnion_Ioc_eq_Ioi_self_iff", "Set.biUnion_accumulate", "Set.biUnion_and", "Set.biUnion_and'", "Set.biUnion_compl_eq_of_pairwise_disjoint_of_iUnion_eq_univ", "Set.biUnion_diff_biUnion_eq", "Set.biUnion_diff_biUnion_subset", "Set.biUnion_empty", "Set.biUnion_eq_iUnion", "Set.biUnion_finsetSigma'", "Set.biUnion_finsetSigma_univ", "Set.biUnion_iUnion", "Set.biUnion_image", "Set.biUnion_insert", "Set.biUnion_le_succ", "Set.biUnion_lt_succ", "Set.biUnion_mono", "Set.biUnion_of_singleton", "Set.biUnion_pair", "Set.biUnion_preimage_singleton", "Set.biUnion_range", "Set.biUnion_range_preimage_singleton", "Set.biUnion_self", "Set.biUnion_sigma'", "Set.biUnion_subset_biUnion_left", "Set.biUnion_union", "Set.biUnion_univ", "Set.bijOn_comm", "Set.bijOn_iInter", "Set.bijOn_id", "Set.bijOn_of_subsingleton", "Set.bijOn_of_subsingleton'", "Set.bijOn_singleton", "Set.bijective_iff_bijOn_univ", "Set.bijective_iff_bijective_of_iUnion_eq_univ", "Set.bind_def", "Set.bot_eq_empty", "Set.bounded_ge_Ioc", "Set.bounded_ge_Ioo", "Set.bounded_ge_iff_bounded_gt", "Set.bounded_ge_inter_gt", "Set.bounded_ge_of_bounded_gt", "Set.bounded_gt_Icc", "Set.bounded_gt_Ici", "Set.bounded_gt_Ico", "Set.bounded_gt_Ioo", "Set.bounded_gt_inter_ge", "Set.bounded_gt_inter_gt", "Set.bounded_gt_inter_not_gt", "Set.bounded_inter_not", "Set.bounded_le_Icc", "Set.bounded_le_Iic", "Set.bounded_le_Ioo", "Set.bounded_le_iff_bounded_lt", "Set.bounded_le_inter_le", "Set.bounded_le_inter_lt", "Set.bounded_le_inter_not_le", "Set.bounded_le_of_bounded_lt", "Set.bounded_lt_Ico", "Set.bounded_lt_Iio", "Set.bounded_lt_Ioc", "Set.bounded_lt_Ioo", "Set.bounded_lt_inter_le", "Set.bounded_lt_inter_not_lt", "Set.card_div_le", "Set.card_image_of_injective", "Set.card_insert", "Set.card_inv", "Set.card_le_card", "Set.card_lt_card", "Set.card_mul_le", "Set.card_ne_eq", "Set.card_prod_singleton", "Set.card_range_of_injective", "Set.card_singleton", "Set.card_singleton_prod", "Set.card_smul_set", "Set.card_union_le", "Set.center_units_subset", "Set.centralizer_centralizer_centralizer", "Set.centralizer_eq_top_iff_subset", "Set.centralizer_subset", "Set.centralizer_univ", "Set.chainHeight_add_le_chainHeight_add", "Set.chainHeight_dual", "Set.chainHeight_eq_iSup_Ici", "Set.chainHeight_eq_top_iff", "Set.chainHeight_eq_zero_iff", "Set.chainHeight_image", "Set.chainHeight_insert_of_forall_gt", "Set.chainHeight_le_chainHeight_TFAE", "Set.chainHeight_le_chainHeight_iff", "Set.chainHeight_le_chainHeight_iff_le", "Set.chainHeight_mono", "Set.chainHeight_union_eq", "Set.chainHeight_union_le", "Set.codRestrict_restrict", "Set.coe_comp_rangeFactorization", "Set.coe_eq_image_val", "Set.coe_eq_subtype", "Set.coe_inclusion", "Set.coe_projIci", "Set.coe_projIic", "Set.coe_setOf", "Set.coe_singletonMonoidHom", "Set.coe_singletonOneHom", "Set.coe_subset", "Set.coe_toFinset", "Set.comp_rangeSplitting", "Set.compl_Ici", "Set.compl_Iic", "Set.compl_Iio", "Set.compl_cIcc", "Set.compl_cIoo", "Set.compl_compl_image", "Set.compl_def", "Set.compl_empty", "Set.compl_empty_iff", "Set.compl_eq_univ_diff", "Set.compl_iInter", "Set.compl_iInter\u2082", "Set.compl_iUnion", "Set.compl_iUnion\u2082", "Set.compl_image_set_of", "Set.compl_inter", "Set.compl_inter_self", "Set.compl_inv", "Set.compl_ne_eq_singleton", "Set.compl_ne_univ", "Set.compl_prod_eq_union", "Set.compl_range_inl", "Set.compl_range_inr", "Set.compl_range_some", "Set.compl_range_subset_kernImage", "Set.compl_sInter", "Set.compl_sUnion", "Set.compl_section_ordSeparatingSet_mem_nhds", "Set.compl_section_ordSeparatingSet_mem_nhdsWithin_Ici", "Set.compl_section_ordSeparatingSet_mem_nhdsWithin_Iic", "Set.compl_setOf", "Set.compl_singleton_eq", "Set.compl_star", "Set.compl_subset_comm", "Set.compl_subset_compl", "Set.compl_subset_compl_of_subset", "Set.compl_union", "Set.compl_union_self", "Set.compl_univ", "Set.compl_univ_iff", "Set.cons_mem_subchain_iff", "Set.cou_inter_self_right_eq_coe", "Set.countable_coe_iff", "Set.countable_empty", "Set.countable_iUnion", "Set.countable_iff_exists_injOn", "Set.countable_iff_exists_subset_range", "Set.countable_iff_nonempty_encodable", "Set.countable_infinite_iff_nonempty_denumerable", "Set.countable_insert", "Set.countable_of_injective_of_countable_image", "Set.countable_pi", "Set.countable_range", "Set.countable_setOf_finite_subset", "Set.countable_setOf_nonempty_of_disjoint", "Set.countable_singleton", "Set.countable_union", "Set.countable_univ_iff", "Set.countable_univ_pi", "Set.covBy_iff_exists_insert", "Set.covBy_iff_exists_sdiff_singleton", "Set.covBy_insert", "Set.definable_empty", "Set.definable_finset_biUnion", "Set.definable_finset_inf", "Set.definable_finset_sup", "Set.definable_iff_exists_formula_sum", "Set.definable_iff_finitely_definable", "Set.definable_univ", "Set.diag_image", "Set.diag_preimage_prod_self", "Set.diagonal_eq_univ_iff", "Set.diagonal_subset_iff", "Set.diff_compl", "Set.diff_diff", "Set.diff_diff_cancel_left", "Set.diff_diff_comm", "Set.diff_diff_eq_sdiff_union", "Set.diff_diff_right", "Set.diff_empty", "Set.diff_eq", "Set.diff_eq_compl_inter", "Set.diff_eq_empty", "Set.diff_iInter", "Set.diff_iUnion", "Set.diff_inter", "Set.diff_nonempty_of_ncard_lt_ncard", "Set.diff_self_inter", "Set.diff_singleton_eq_self", "Set.diff_singleton_sSubset", "Set.diff_singleton_subset_iff", "Set.diff_subset", "Set.diff_subset_comm", "Set.diff_subset_compl", "Set.diff_subset_diff", "Set.diff_subset_diff_left", "Set.diff_subset_iff", "Set.diff_union_diff_cancel", "Set.diff_union_inter", "Set.diff_union_of_subset", "Set.diff_union_self", "Set.directedOn_iUnion", "Set.directedOn_sUnion", "Set.disjoint_compl_left_iff_subset", "Set.disjoint_compl_right_iff_subset", "Set.disjoint_diagonal_offDiag", "Set.disjoint_empty", "Set.disjoint_iUnion_right", "Set.disjoint_iUnion\u2082_right", "Set.disjoint_iff", "Set.disjoint_iff_forall_ne", "Set.disjoint_iff_inter_eq_empty", "Set.disjoint_image_of_injective", "Set.disjoint_left", "Set.disjoint_left_ordSeparatingSet", "Set.disjoint_of_subset", "Set.disjoint_of_subset_left", "Set.disjoint_of_subset_right", "Set.disjoint_ordT5Nhd", "Set.disjoint_pi", "Set.disjoint_pi_univ_Ioc_update_left_right", "Set.disjoint_preimage_iff", "Set.disjoint_prod", "Set.disjoint_right", "Set.disjoint_right_ordSeparatingSet", "Set.disjoint_sUnion_left", "Set.disjoint_sUnion_right", "Set.disjoint_sdiff_left", "Set.disjoint_sdiff_right", "Set.disjoint_singleton", "Set.disjoint_singleton_left", "Set.disjoint_union_right", "Set.disjoint_univ_pi", "Set.div_empty", "Set.div_iInter\u2082_subset", "Set.div_iUnion", "Set.div_iUnion\u2082", "Set.div_inter_subset", "Set.div_mem_center", "Set.div_mem_center\u2080", "Set.div_mem_centralizer", "Set.div_mem_centralizer\u2080", "Set.div_mem_div", "Set.div_nonempty", "Set.div_singleton", "Set.div_subset_div_left", "Set.div_subset_div_right", "Set.div_subset_range", "Set.div_union", "Set.div_zero_subset", "Set.dual_Icc", "Set.dual_Ico", "Set.dual_Iio", "Set.dual_Ioc", "Set.dual_Ioo", "Set.dual_ordConnected", "Set.dual_ordConnectedComponent", "Set.dual_ordConnectedSection", "Set.dual_ordConnected_iff", "Set.dual_ordSeparatingSet", "Set.einfsep_anti", "Set.einfsep_empty", "Set.einfsep_eq_iInf", "Set.einfsep_insert", "Set.einfsep_insert_le", "Set.einfsep_le_edist_of_mem", "Set.einfsep_lt_iff", "Set.einfsep_lt_top", "Set.einfsep_lt_top_iff", "Set.einfsep_ne_top", "Set.einfsep_of_fintype", "Set.einfsep_pair", "Set.einfsep_pair_le_right", "Set.einfsep_pos", "Set.einfsep_pos_of_finite", "Set.einfsep_top", "Set.einfsep_triple", "Set.einfsep_zero", "Set.elim_preimage_pi", "Set.empty_card", "Set.empty_card'", "Set.empty_definable_iff", "Set.empty_diff", "Set.empty_div", "Set.empty_infs", "Set.empty_inter", "Set.empty_mul", "Set.empty_ne_univ", "Set.empty_pow", "Set.empty_prod", "Set.empty_sigma", "Set.empty_ssubset_singleton", "Set.empty_subset", "Set.empty_union", "Set.encard_add_encard_compl", "Set.encard_coe_eq_coe_finsetCard", "Set.encard_congr", "Set.encard_diff_add_encard", "Set.encard_diff_add_encard_inter", "Set.encard_diff_add_encard_of_subset", "Set.encard_diff_singleton_add_one", "Set.encard_diff_singleton_of_mem", "Set.encard_empty", "Set.encard_eq_add_one_iff", "Set.encard_eq_coe_toFinset_card", "Set.encard_eq_encard_iff_encard_diff_eq_encard_diff", "Set.encard_eq_one", "Set.encard_eq_three", "Set.encard_eq_top_iff", "Set.encard_eq_two", "Set.encard_eq_zero", "Set.encard_exchange", "Set.encard_image_le", "Set.encard_insert_le", "Set.encard_insert_of_not_mem", "Set.encard_le_card", "Set.encard_le_coe_iff", "Set.encard_le_coe_iff_finite_ncard_le", "Set.encard_le_encard_diff_add_encard", "Set.encard_le_encard_iff_encard_diff_le_encard_diff", "Set.encard_le_encard_of_injOn", "Set.encard_le_one_iff", "Set.encard_le_one_iff_eq", "Set.encard_lt_encard_iff_encard_diff_lt_encard_diff", "Set.encard_lt_top_iff", "Set.encard_mono", "Set.encard_ne_zero", "Set.encard_pair", "Set.encard_pos", "Set.encard_preimage_of_injective_subset_range", "Set.encard_singleton", "Set.encard_singleton_inter", "Set.encard_strictMono", "Set.encard_tsub_one_le_encard_diff_singleton", "Set.encard_union_add_encard_inter", "Set.encard_union_eq", "Set.encard_union_le", "Set.encard_univ", "Set.encard_univ_coe", "Set.enumerateCountable_mem", "Set.enumerate_eq_none", "Set.enumerate_eq_none_of_sel", "Set.enumerate_inj", "Set.enumerate_mem", "Set.eqOn_empty", "Set.eqOn_mulIndicator", "Set.eqOn_of_leftInvOn_of_rightInvOn", "Set.eqOn_piecewise", "Set.eqOn_refl", "Set.eqOn_singleton", "Set.eqOn_union", "Set.eqOn_univ", "Set.eq_empty_iff_forall_not_mem", "Set.eq_empty_of_forall_not_mem", "Set.eq_empty_of_isEmpty", "Set.eq_empty_of_ssubset_singleton", "Set.eq_empty_or_encard_eq_top_or_encard_diff_singleton_lt", "Set.eq_empty_or_nonempty", "Set.eq_endpoints_or_mem_Ioo_of_mem_Icc", "Set.eq_finite_iUnion_of_finite_subset_iUnion", "Set.eq_insert_of_ncard_eq_succ", "Set.eq_of_Ico_disjoint", "Set.eq_of_forall_subset_iff", "Set.eq_of_inclusion_surjective", "Set.eq_of_mem_ordConnectedSection_of_uIcc_subset", "Set.eq_of_mem_singleton", "Set.eq_of_mem_uIoc_of_mem_uIoc", "Set.eq_of_nonempty_of_subsingleton", "Set.eq_of_nonempty_of_subsingleton'", "Set.eq_of_not_mem_of_mem_insert", "Set.eq_of_not_mem_uIoc_of_not_mem_uIoc", "Set.eq_of_preimage_val_eq_of_subset", "Set.eq_of_subset_of_card_le", "Set.eq_of_subset_of_ncard_le", "Set.eq_of_subset_of_subset", "Set.eq_or_ssubset_of_subset", "Set.eq_preimage_iff_image_eq", "Set.eq_preimage_subtype_val_iff", "Set.eq_restrict_iff", "Set.eq_singleton_iff_nonempty_unique_mem", "Set.eq_singleton_iff_unique_mem", "Set.eq_singleton_or_nontrivial", "Set.eq_univ_iff_forall", "Set.eq_univ_of_coe_eq", "Set.eq_univ_of_image_val_eq", "Set.eq_univ_of_subset", "Set.equitableOn_empty", "Set.equitableOn_iff_exists_eq_eq_add_one", "Set.equitableOn_iff_exists_image_subset_icc", "Set.equitableOn_iff_exists_le_le_add_one", "Set.equitableOn_singleton", "Set.eval_image_pi", "Set.eval_image_pi_of_not_mem", "Set.eval_image_pi_subset", "Set.eval_preimage", "Set.exists_chain_of_le_chainHeight", "Set.exists_eq_const_of_preimage_singleton", "Set.exists_eq_graphOn", "Set.exists_eq_graphOn_image_fst", "Set.exists_eq_insert_iff_ncard", "Set.exists_eq_singleton_iff_nonempty_subsingleton", "Set.exists_finite_iff_finset", "Set.exists_image_eq_and_injOn", "Set.exists_image_eq_injOn_of_subset_range", "Set.exists_image_iff", "Set.exists_injOn_iff_injective", "Set.exists_intermediate_Set", "Set.exists_intermediate_set'", "Set.exists_isOpen_le_add", "Set.exists_isOpen_lt_of_lt", "Set.exists_lower_bound_image", "Set.exists_max_image", "Set.exists_mem_image", "Set.exists_mem_insert", "Set.exists_mem_of_nonempty", "Set.exists_min_image", "Set.exists_ne_map_eq_of_ncard_lt_of_maps_to", "Set.exists_ne_mem_inter_of_not_pairwiseDisjoint", "Set.exists_ne_of_one_lt_encard", "Set.exists_ne_of_one_lt_ncard", "Set.exists_of_ssubset", "Set.exists_prod_set", "Set.exists_range_iff", "Set.exists_seq_iSup_eq_top_iff_countable", "Set.exists_set_mem_of_union_eq_top", "Set.exists_sigma_iff", "Set.exists_smaller_set", "Set.exists_subset_bijOn", "Set.exists_subset_encard_eq", "Set.exists_subset_image_iff", "Set.exists_subset_mul_div", "Set.exists_subset_or_subset_of_two_mul_lt_ncard", "Set.exists_subset_range_and_iff", "Set.exists_subset_range_iff", "Set.exists_subsuperset_card_eq", "Set.exists_superset_subset_encard_eq", "Set.exists_upper_bound_image", "Set.ext", "Set.ext_iff", "Set.fiber_ncard_ne_zero_iff_mem_image", "Set.filter_mem_univ_eq_toFinset", "Set.finite_Icc", "Set.finite_Ici", "Set.finite_Iio", "Set.finite_Ioi", "Set.finite_Ioo", "Set.finite_coe_iff", "Set.finite_def", "Set.finite_diff_iUnion_Ioo", "Set.finite_diff_iUnion_Ioo'", "Set.finite_iUnion", "Set.finite_iff_bddAbove", "Set.finite_iff_bddBelow_bddAbove", "Set.finite_iff_finite_of_encard_eq_encard", "Set.finite_image2", "Set.finite_image_iff", "Set.finite_interval", "Set.finite_isBot", "Set.finite_isTop", "Set.finite_le_nat", "Set.finite_lt_nat", "Set.finite_mul", "Set.finite_of_encard_le_coe", "Set.finite_of_finite_preimage", "Set.finite_of_forall_not_lt_lt", "Set.finite_of_ncard_ne_zero", "Set.finite_of_ncard_pos", "Set.finite_or_infinite", "Set.finite_prod", "Set.finite_range", "Set.finite_range_const", "Set.finite_range_findGreatest", "Set.finite_range_ite", "Set.finite_singleton", "Set.finite_smul_set", "Set.finite_subset_iUnion", "Set.finite_union", "Set.finite_univ", "Set.finite_univ_iff", "Set.finrank_mono", "Set.finset_prod_mem_finset_prod", "Set.finset_prod_singleton", "Set.fmap_eq_image", "Set.forall_finite_image_eval_iff", "Set.forall_image2_iff", "Set.forall_in_swap", "Set.forall_infs_iff", "Set.forall_mem_empty", "Set.forall_mem_image", "Set.forall_mem_insert", "Set.forall_mem_range", "Set.forall_of_forall_insert", "Set.forall_prod_set", "Set.forall_subset_range_iff", "Set.forall_sups_iff", "Set.forall_uIoc_iff", "Set.fst_image_prod", "Set.fst_image_sigma", "Set.graphOn_empty", "Set.graphOn_insert", "Set.graphOn_singleton", "Set.graphOn_union", "Set.iInf_eq_dif", "Set.iInf_eq_iInter", "Set.iInter_and", "Set.iInter_coe_set", "Set.iInter_comm", "Set.iInter_const", "Set.iInter_div_subset", "Set.iInter_eq_compl_iUnion_compl", "Set.iInter_eq_const", "Set.iInter_eq_empty_iff", "Set.iInter_eq_iInter_finset", "Set.iInter_eq_iInter_finset'", "Set.iInter_false", "Set.iInter_ge_eq_iInter_nat_add", "Set.iInter_iInter_eq'", "Set.iInter_iInter_eq_left", "Set.iInter_iInter_eq_or_left", "Set.iInter_iInter_eq_right", "Set.iInter_iUnion_of_monotone", "Set.iInter_inter", "Set.iInter_mono'", "Set.iInter_mono''", "Set.iInter_mul_subset", "Set.iInter_of_empty", "Set.iInter_option", "Set.iInter_or", "Set.iInter_plift_down", "Set.iInter_plift_up", "Set.iInter_setOf", "Set.iInter_sigma", "Set.iInter_sigma'", "Set.iInter_smul_subset", "Set.iInter_star", "Set.iInter_subset", "Set.iInter_subset_iInter\u2082", "Set.iInter_subtype", "Set.iInter_true", "Set.iInter_union", "Set.iInter_univ", "Set.iInter_vsub_subset", "Set.iInter\u2082_comm", "Set.iInter\u2082_congr", "Set.iInter\u2082_div_subset", "Set.iInter\u2082_eq_empty_iff", "Set.iInter\u2082_mono", "Set.iInter\u2082_mul_subset", "Set.iInter\u2082_smul_subset", "Set.iInter\u2082_subset", "Set.iInter\u2082_subset_of_subset", "Set.iInter\u2082_vsub_subset", "Set.iSup_eq_iUnion", "Set.iSup_iInf_of_antitone", "Set.iSup_iInf_of_monotone", "Set.iUnionLift_binary", "Set.iUnionLift_const", "Set.iUnionLift_inclusion", "Set.iUnionLift_mk", "Set.iUnionLift_of_mem", "Set.iUnionLift_unary", "Set.iUnion_Icc_left", "Set.iUnion_Icc_right", "Set.iUnion_Ici", "Set.iUnion_Ico_eq_Iio_self_iff", "Set.iUnion_Ico_left", "Set.iUnion_Ico_right", "Set.iUnion_Iic", "Set.iUnion_Iio", "Set.iUnion_Ioc_eq_Ioi_self_iff", "Set.iUnion_Ioc_left", "Set.iUnion_Ioc_right", "Set.iUnion_Ioi", "Set.iUnion_Ioo_left", "Set.iUnion_Ioo_right", "Set.iUnion_accumulate", "Set.iUnion_coe_set", "Set.iUnion_comm", "Set.iUnion_congr", "Set.iUnion_congr_Prop", "Set.iUnion_congr_of_surjective", "Set.iUnion_diff", "Set.iUnion_dite", "Set.iUnion_div", "Set.iUnion_div_left_image", "Set.iUnion_div_right_image", "Set.iUnion_empty", "Set.iUnion_eq_compl_iInter_compl", "Set.iUnion_eq_const", "Set.iUnion_eq_iUnion_finset", "Set.iUnion_eq_iUnion_finset'", "Set.iUnion_eq_range_psigma", "Set.iUnion_eq_range_sigma", "Set.iUnion_eq_univ_iff", "Set.iUnion_exists", "Set.iUnion_false", "Set.iUnion_ge_eq_iUnion_nat_add", "Set.iUnion_iInter_of_antitone", "Set.iUnion_iInter_of_monotone", "Set.iUnion_iInter_subset", "Set.iUnion_iUnion_eq'", "Set.iUnion_iUnion_eq_left", "Set.iUnion_iUnion_eq_or_left", "Set.iUnion_iUnion_eq_right", "Set.iUnion_image_inf_left", "Set.iUnion_image_inf_right", "Set.iUnion_image_preimage_sigma_mk_eq_self", "Set.iUnion_inter", "Set.iUnion_inter_of_antitone", "Set.iUnion_inter_of_monotone", "Set.iUnion_inter_subset", "Set.iUnion_inv", "Set.iUnion_mono", "Set.iUnion_mono''", "Set.iUnion_mul", "Set.iUnion_mul_left_image", "Set.iUnion_nonempty_self", "Set.iUnion_of_singleton", "Set.iUnion_of_singleton_coe", "Set.iUnion_op_smul_set", "Set.iUnion_or", "Set.iUnion_pi_of_monotone", "Set.iUnion_plift_up", "Set.iUnion_prod", "Set.iUnion_prod_const", "Set.iUnion_prod_of_monotone", "Set.iUnion_range_eq_iUnion", "Set.iUnion_range_eq_sUnion", "Set.iUnion_setOf", "Set.iUnion_sigma", "Set.iUnion_singleton_eq_range", "Set.iUnion_smul_eq_setOf_exists", "Set.iUnion_smul_left_image", "Set.iUnion_smul_set", "Set.iUnion_star", "Set.iUnion_subset", "Set.iUnion_subset_iUnion_const", "Set.iUnion_subset_iff", "Set.iUnion_union", "Set.iUnion_union_distrib", "Set.iUnion_univ_pi", "Set.iUnion_univ_pi_of_monotone", "Set.iUnion_unpair", "Set.iUnion_vsub", "Set.iUnion_vsub_left_image", "Set.iUnion_vsub_right_image", "Set.iUnion\u2082_comm", "Set.iUnion\u2082_div", "Set.iUnion\u2082_eq_univ_iff", "Set.iUnion\u2082_inter", "Set.iUnion\u2082_mono", "Set.iUnion\u2082_mono'", "Set.iUnion\u2082_mul", "Set.iUnion\u2082_prod_const", "Set.iUnion\u2082_subset", "Set.iUnion\u2082_subset_iUnion", "Set.iUnion\u2082_subset_iff", "Set.iUnion\u2082_vsub", "Set.image2_assoc", "Set.image2_congr", "Set.image2_congr'", "Set.image2_curry", "Set.image2_def", "Set.image2_distrib_subset_left", "Set.image2_distrib_subset_right", "Set.image2_div", "Set.image2_empty_right", "Set.image2_eq_empty_iff", "Set.image2_eq_iUnion", "Set.image2_eq_seq", "Set.image2_iInter_subset_left", "Set.image2_iInter_subset_right", "Set.image2_iInter\u2082_subset_left", "Set.image2_iInter\u2082_subset_right", "Set.image2_iUnion_left", "Set.image2_iUnion_right", "Set.image2_iUnion\u2082_left", "Set.image2_iUnion\u2082_right", "Set.image2_image2_image2_comm", "Set.image2_image_left", "Set.image2_image_left_anticomm", "Set.image2_image_right", "Set.image2_insert_left", "Set.image2_insert_right", "Set.image2_inter_left", "Set.image2_inter_right", "Set.image2_inter_subset_left", "Set.image2_inter_subset_right", "Set.image2_inter_union_subset", "Set.image2_inter_union_subset_union", "Set.image2_left_comm", "Set.image2_left_identity", "Set.image2_mk_eq_prod", "Set.image2_mul", "Set.image2_range", "Set.image2_right", "Set.image2_right_identity", "Set.image2_singleton_left", "Set.image2_singleton_right", "Set.image2_smul", "Set.image2_subset", "Set.image2_subset_iff", "Set.image2_subset_iff_left", "Set.image2_subset_iff_right", "Set.image2_subset_left", "Set.image2_subset_right", "Set.image2_swap", "Set.image2_union_inter_subset", "Set.image2_union_inter_subset_union", "Set.image2_union_left", "Set.image2_union_right", "Set.image2_vsub", "Set.imageFactorization_eq", "Set.imageFactorization_injective_iff", "Set.image_add_const_Icc", "Set.image_add_const_Ici", "Set.image_add_const_Iic", "Set.image_add_const_Iio", "Set.image_add_const_Ioc", "Set.image_add_const_Ioi", "Set.image_add_const_Ioo", "Set.image_add_const_uIcc", "Set.image_affine_Icc'", "Set.image_comm", "Set.image_comp", "Set.image_comp_eq", "Set.image_compl_eq", "Set.image_compl_preimage", "Set.image_compl_subset", "Set.image_congr", "Set.image_const_add_Icc", "Set.image_const_add_Ici", "Set.image_const_add_Ico", "Set.image_const_add_Iic", "Set.image_const_add_Iio", "Set.image_const_add_Ioc", "Set.image_const_add_Ioi", "Set.image_const_add_Ioo", "Set.image_const_add_uIcc", "Set.image_const_mul_Ioi_zero", "Set.image_const_mul_uIcc", "Set.image_const_sub_Icc", "Set.image_const_sub_Ici", "Set.image_const_sub_Ico", "Set.image_const_sub_Iic", "Set.image_const_sub_Iio", "Set.image_const_sub_Ioc", "Set.image_const_sub_Ioi", "Set.image_const_sub_Ioo", "Set.image_const_sub_uIcc", "Set.image_diff", "Set.image_diff_preimage", "Set.image_div", "Set.image_div_const_uIcc", "Set.image_empty", "Set.image_eq_empty", "Set.image_eq_iUnion", "Set.image_eq_iff_surjOn_mapsTo", "Set.image_eq_image", "Set.image_eq_preimage_of_inverse", "Set.image_eq_range", "Set.image_equiv_eq_preimage_symm", "Set.image_eta", "Set.image_finset_prod", "Set.image_finset_prod_pi", "Set.image_fintype_prod_pi", "Set.image_fst_graphOn", "Set.image_iInter", "Set.image_iInter_subset", "Set.image_iInter\u2082", "Set.image_iUnion", "Set.image_iUnion\u2082", "Set.image_id", "Set.image_id'", "Set.image_id_eq", "Set.image_image", "Set.image_image2", "Set.image_image2_antidistrib", "Set.image_image2_antidistrib_left", "Set.image_image2_distrib", "Set.image_image2_distrib_left", "Set.image_image2_distrib_right", "Set.image_image2_right_anticomm", "Set.image_inf_prod", "Set.image_infs", "Set.image_injective", "Set.image_insert_eq", "Set.image_inter", "Set.image_inter_mulSupport_eq", "Set.image_inter_nonempty_iff", "Set.image_inter_on", "Set.image_inter_preimage", "Set.image_inter_subset", "Set.image_inv", "Set.image_iterate_eq", "Set.image_list_prod", "Set.image_mono", "Set.image_mul", "Set.image_mulSingle_Icc", "Set.image_mulSingle_Icc_left", "Set.image_mulSingle_Ico", "Set.image_mulSingle_Ico_right", "Set.image_mulSingle_Ioc_right", "Set.image_mulSingle_Ioo", "Set.image_mul_const_uIcc", "Set.image_mul_left", "Set.image_mul_left'", "Set.image_mul_left_Icc", "Set.image_mul_left_Icc'", "Set.image_mul_left_Ioo", "Set.image_mul_prod", "Set.image_mul_right", "Set.image_mul_right_Icc", "Set.image_mul_right_Icc'", "Set.image_mul_right_Ioo", "Set.image_multiset_prod", "Set.image_neg_Icc", "Set.image_neg_Ico", "Set.image_neg_Iio", "Set.image_neg_Ioi", "Set.image_neg_Ioo", "Set.image_nonempty", "Set.image_one", "Set.image_op_inv", "Set.image_op_smul", "Set.image_pair", "Set.image_perm", "Set.image_preimage", "Set.image_preimage_eq", "Set.image_preimage_eq_iff", "Set.image_preimage_eq_inter_range", "Set.image_preimage_eq_of_subset", "Set.image_preimage_eq_range_inter", "Set.image_preimage_inl_union_image_preimage_inr", "Set.image_preimage_inter", "Set.image_preimage_subset", "Set.image_prod", "Set.image_prod_mk_subset_prod", "Set.image_prod_mk_subset_prod_left", "Set.image_prod_mk_subset_prod_right", "Set.image_projection_prod", "Set.image_restrict", "Set.image_restrictPreimage", "Set.image_sInter_subset", "Set.image_sUnion", "Set.image_seq", "Set.image_sigmaMk_preimage_sigmaMap", "Set.image_sigmaMk_subset_sigma_left", "Set.image_sigmaMk_subset_sigma_right", "Set.image_singleton", "Set.image_smul", "Set.image_smul_distrib", "Set.image_smul_prod", "Set.image_star", "Set.image_sub_const_Icc", "Set.image_sub_const_Ici", "Set.image_sub_const_Iic", "Set.image_sub_const_Ioc", "Set.image_sub_const_Ioi", "Set.image_sub_const_uIcc", "Set.image_subset", "Set.image_subset_iff", "Set.image_subset_image2_right", "Set.image_subset_image_iff", "Set.image_subset_infs_left", "Set.image_subset_infs_right", "Set.image_subset_preimage_of_inverse", "Set.image_subset_range", "Set.image_subset_sups_left", "Set.image_subset_sups_right", "Set.image_subtype_val_Icc", "Set.image_subtype_val_Icc_Ici", "Set.image_subtype_val_Icc_Iic", "Set.image_subtype_val_Icc_Iio", "Set.image_subtype_val_Icc_Ioi", "Set.image_subtype_val_Icc_subset", "Set.image_subtype_val_Ici_Iic", "Set.image_subtype_val_Ici_Iio", "Set.image_subtype_val_Ici_Ioi", "Set.image_subtype_val_Ici_subset", "Set.image_subtype_val_Ico_Ioi", "Set.image_subtype_val_Ico_subset", "Set.image_subtype_val_Iic_Ici", "Set.image_subtype_val_Iic_Iio", "Set.image_subtype_val_Iic_subset", "Set.image_subtype_val_Iio_Iio", "Set.image_subtype_val_Iio_Ioi", "Set.image_subtype_val_Ioc_Ici", "Set.image_subtype_val_Ioc_Iio", "Set.image_subtype_val_Ioi_Iio", "Set.image_subtype_val_Ioi_subset", "Set.image_subtype_val_Ioo", "Set.image_subtype_val_Ioo_subset", "Set.image_subtype_val_Ixx_Iix", "Set.image_subtype_val_Ixx_Ixi", "Set.image_sups", "Set.image_surjective", "Set.image_swap_eq_preimage_swap", "Set.image_swap_prod", "Set.image_symmDiff", "Set.image_uncurry_prod", "Set.image_union", "Set.image_union_image_compl_eq_range", "Set.image_univ", "Set.image_univ_of_surjective", "Set.image_update_Icc", "Set.image_update_Icc_left", "Set.image_update_Icc_right", "Set.image_update_Ico", "Set.image_update_Ico_left", "Set.image_update_Ico_right", "Set.image_update_Ioc", "Set.image_update_Ioc_left", "Set.image_update_Ioc_right", "Set.image_update_Ioo", "Set.image_update_Ioo_left", "Set.image_update_uIcc", "Set.image_update_uIcc_left", "Set.image_update_uIcc_right", "Set.image_val_compl", "Set.image_val_iInter", "Set.image_val_iUnion", "Set.image_val_inj", "Set.image_val_injective", "Set.image_val_inter", "Set.image_val_inter_self_left_eq_coe", "Set.image_val_mono", "Set.image_val_sInter", "Set.image_val_sUnion", "Set.image_val_subset", "Set.image_val_union", "Set.image_vsub_prod", "Set.inclusion_comp_inclusion", "Set.inclusion_inclusion", "Set.inclusion_inj", "Set.inclusion_injective", "Set.inclusion_le_inclusion", "Set.inclusion_lt_inclusion", "Set.inclusion_mk", "Set.inclusion_right", "Set.inclusion_self", "Set.indicator_const_smul", "Set.indicator_const_smul_apply", "Set.indicator_le_indicator_nonneg", "Set.indicator_mul", "Set.indicator_mul_left", "Set.indicator_mul_right", "Set.indicator_nonpos_le_indicator", "Set.indicator_one_inj", "Set.indicator_prod_one", "Set.indicator_smul", "Set.indicator_smul_apply", "Set.indicator_smul_apply_left", "Set.indicator_smul_const", "Set.indicator_smul_const_apply", "Set.inf_eq_inter", "Set.inf_mem_infs", "Set.infinite_coe_iff", "Set.infinite_iff_exists_gt", "Set.infinite_iff_exists_lt", "Set.infinite_iff_frequently_cofinite", "Set.infinite_image2", "Set.infinite_image_iff", "Set.infinite_of_finite_compl", "Set.infinite_of_forall_exists_gt", "Set.infinite_of_injOn_mapsTo", "Set.infinite_of_injective_forall_mem", "Set.infinite_of_not_bddAbove", "Set.infinite_of_not_bddBelow", "Set.infinite_or_finite", "Set.infinite_prod", "Set.infinite_range_iff", "Set.infinite_range_of_injective", "Set.infinite_union", "Set.infinite_univ", "Set.infinite_univ_iff", "Set.infs_comm", "Set.infs_empty", "Set.infs_left_comm", "Set.infs_nonempty", "Set.infs_self", "Set.infs_self_subset", "Set.infs_singleton", "Set.infs_subset", "Set.infs_subset_iff", "Set.infs_subset_left", "Set.infs_subset_right", "Set.infs_sups_subset_left", "Set.infs_sups_subset_right", "Set.infs_union_left", "Set.infs_union_right", "Set.infsep_empty", "Set.infsep_eq_iInf", "Set.infsep_le_dist_of_mem", "Set.infsep_le_of_mem_of_edist_le", "Set.infsep_of_fintype", "Set.infsep_pair", "Set.infsep_pair_eq_toReal", "Set.infsep_pair_le_toReal_inf", "Set.infsep_pos", "Set.infsep_pos_iff_nontrivial_of_finite", "Set.infsep_triple", "Set.infsep_zero", "Set.infsep_zero_iff_subsingleton_of_finite", "Set.injOn_empty", "Set.injOn_id", "Set.injOn_iff_injective", "Set.injOn_iff_invFunOn_image_image_eq_self", "Set.injOn_iff_pairwise_ne", "Set.injOn_insert", "Set.injOn_of_ncard_image_eq", "Set.injOn_singleton", "Set.injOn_subtype_val", "Set.injOn_union", "Set.inj_on_iUnion_of_directed", "Set.inj_on_of_surj_on_of_ncard_le", "Set.injective_codRestrict", "Set.injective_iff_injective_of_iUnion_eq_univ", "Set.injective_piecewise_iff", "Set.insert_comm", "Set.insert_def", "Set.insert_diff_eq_singleton", "Set.insert_diff_of_mem", "Set.insert_diff_self_of_not_mem", "Set.insert_diff_singleton", "Set.insert_diff_singleton_comm", "Set.insert_eq", "Set.insert_eq_of_mem", "Set.insert_image_compl_eq_range", "Set.insert_inter_of_mem", "Set.insert_inter_of_not_mem", "Set.insert_ne_self", "Set.insert_none_range_some", "Set.insert_nonempty", "Set.insert_pi", "Set.insert_prod", "Set.insert_sigma", "Set.insert_subset", "Set.insert_subset_iff", "Set.insert_subset_insert", "Set.insert_subset_insert_iff", "Set.insert_union", "Set.intCast_mem_center", "Set.integer_eq", "Set.integer_valuation_le_one", "Set.inter_assoc", "Set.inter_biInter", "Set.inter_comm", "Set.inter_compl_nonempty_iff", "Set.inter_compl_self", "Set.inter_congr_left", "Set.inter_diff_assoc", "Set.inter_div_subset", "Set.inter_div_union_subset_union", "Set.inter_empty", "Set.inter_empty_of_inter_sUnion_empty", "Set.inter_eq_compl_compl_union_compl", "Set.inter_eq_iInter", "Set.inter_eq_inter_iff_left", "Set.inter_eq_inter_iff_right", "Set.inter_eq_left", "Set.inter_eq_right", "Set.inter_eq_self_of_subset_left", "Set.inter_eq_self_of_subset_right", "Set.inter_iInter", "Set.inter_iUnion", "Set.inter_iUnion\u2082", "Set.inter_indicator_mul", "Set.inter_indicator_one", "Set.inter_insert_of_mem", "Set.inter_insert_of_not_mem", "Set.inter_inter_distrib_right", "Set.inter_inv", "Set.inter_left_comm", "Set.inter_mul_union_subset", "Set.inter_mul_union_subset_union", "Set.inter_nonempty", "Set.inter_nonempty_iff_exists_left", "Set.inter_nonempty_iff_exists_right", "Set.inter_preimage_subset", "Set.inter_prod", "Set.inter_right_comm", "Set.inter_self", "Set.inter_setOf_eq_sep", "Set.inter_singleton_eq_empty", "Set.inter_singleton_nonempty", "Set.inter_smul_union_subset_union", "Set.inter_star", "Set.inter_subset_inter", "Set.inter_subset_inter_left", "Set.inter_subset_inter_right", "Set.inter_subset_ite", "Set.inter_subset_left", "Set.inter_subset_right", "Set.inter_symmDiff_distrib_left", "Set.inter_union_compl", "Set.inter_union_diff", "Set.inter_union_distrib_left", "Set.inter_univ", "Set.inter_vsub_subset", "Set.inter_vsub_union_subset_union", "Set.intersecting_empty", "Set.intersecting_iff_eq_empty_of_subsingleton", "Set.intersecting_iff_pairwise_not_disjoint", "Set.intersecting_insert", "Set.invOf_mem_center", "Set.invOn_id", "Set.inv_Ioi", "Set.inv_Ioo_0_left", "Set.inv_empty", "Set.inv_eq_empty", "Set.inv_insert", "Set.inv_mem_Icc_iff", "Set.inv_mem_Ioc_iff", "Set.inv_mem_Ioo_iff", "Set.inv_mem_center", "Set.inv_mem_center\u2080", "Set.inv_mem_centralizer", "Set.inv_mem_centralizer\u2080", "Set.inv_mem_inv", "Set.inv_op_smul_set_distrib", "Set.inv_op_smul_set_distrib\u2080", "Set.inv_preimage", "Set.inv_range", "Set.inv_singleton", "Set.inv_smul_set_distrib\u2080", "Set.inv_subset", "Set.inv_univ", "Set.inv_zero", "Set.isAtom_iff", "Set.isCoatom_iff", "Set.isCoatom_singleton_compl", "Set.isCompl_range_inl_range_inr", "Set.isCompl_range_some_none", "Set.isPWO_empty", "Set.isPWO_insert", "Set.isPWO_singleton", "Set.isPWO_union", "Set.isSimpleOrder_Iic_iff_isAtom", "Set.isUnit_iff", "Set.isUnit_iff_singleton", "Set.isWF_iff_no_descending_seq", "Set.isWF_insert", "Set.isWF_min_singleton", "Set.isWF_singleton", "Set.isWF_union", "Set.ite_compl", "Set.ite_diff_self", "Set.ite_empty", "Set.ite_empty_left", "Set.ite_empty_right", "Set.ite_eq_of_subset_left", "Set.ite_eq_of_subset_right", "Set.ite_inter", "Set.ite_inter_compl_self", "Set.ite_inter_inter", "Set.ite_inter_of_inter_eq", "Set.ite_inter_self", "Set.ite_left", "Set.ite_right", "Set.ite_same", "Set.ite_univ", "Set.kernImage_compl", "Set.kernImage_empty", "Set.kernImage_eq_compl", "Set.kernImage_mono", "Set.kernImage_preimage_eq_iff", "Set.kernImage_preimage_union", "Set.kernImage_union_preimage", "Set.le_chainHeight_TFAE", "Set.le_chainHeight_add_nat_iff", "Set.le_chainHeight_iff", "Set.le_edist_of_le_infsep", "Set.le_einfsep", "Set.le_einfsep_iff", "Set.le_einfsep_image_iff", "Set.le_einfsep_pair", "Set.le_einfsep_pi_of_le", "Set.le_eq_subset", "Set.le_iff_subset", "Set.le_mulIndicator", "Set.le_mulIndicator_apply", "Set.le_ncard_diff", "Set.le_ncard_of_inj_on_range", "Set.le_piecewise", "Set.leftInverse_rangeSplitting", "Set.left_mem_Icc", "Set.left_mem_Ici", "Set.left_mem_Ico", "Set.left_mem_Ioc", "Set.left_mem_Ioo", "Set.left_mem_cIcc", "Set.left_mem_uIcc", "Set.left_mem_uIoc", "Set.length_le_chainHeight_of_mem_subchain", "Set.list_prod_mem_list_prod", "Set.list_prod_subset_list_prod", "Set.lt_iff_ssubset", "Set.mabs_mulIndicator_symmDiff", "Set.mapsTo'", "Set.mapsTo_empty", "Set.mapsTo_empty_iff", "Set.mapsTo_iInter", "Set.mapsTo_iInter_iInter", "Set.mapsTo_iInter\u2082_iInter\u2082", "Set.mapsTo_iUnion_iUnion", "Set.mapsTo_iUnion\u2082", "Set.mapsTo_id", "Set.mapsTo_iff_exists_map_subtype", "Set.mapsTo_image", "Set.mapsTo_image_iff", "Set.mapsTo_preimage", "Set.mapsTo_range", "Set.mapsTo_sInter", "Set.mapsTo_singleton", "Set.mapsTo_union", "Set.mapsTo_univ", "Set.mapsTo_univ_iff", "Set.maps_image_to", "Set.maps_range_to", "Set.maps_univ_to", "Set.measure_eq_iInf_isOpen", "Set.mem_Icc", "Set.mem_Icc_Ico_Ioc_Ioo_of_subset_of_subset", "Set.mem_Icc_iff_abs_le", "Set.mem_Icc_of_Ico", "Set.mem_Icc_of_Ioc", "Set.mem_Icc_of_Ioo", "Set.mem_Ici", "Set.mem_Ico", "Set.mem_Iic", "Set.mem_Iio", "Set.mem_Ioc", "Set.mem_Ioc_of_Ioo", "Set.mem_Ioi", "Set.mem_Ioo", "Set.mem_accumulate", "Set.mem_biUnion", "Set.mem_cIoo", "Set.mem_center_iff_addMonoidHom", "Set.mem_centralizer_iff", "Set.mem_coe_of_mem", "Set.mem_compl", "Set.mem_compl_iff", "Set.mem_compl_image", "Set.mem_compl_singleton_iff", "Set.mem_diagonal", "Set.mem_diagonal_iff", "Set.mem_diff", "Set.mem_diff_of_mem", "Set.mem_diff_singleton", "Set.mem_dite", "Set.mem_dite_empty_left", "Set.mem_dite_empty_right", "Set.mem_dite_univ_left", "Set.mem_dite_univ_right", "Set.mem_div", "Set.mem_empty_iff_false", "Set.mem_finset_prod", "Set.mem_fintype_prod", "Set.mem_iInter", "Set.mem_iInter_of_mem", "Set.mem_iInter\u2082", "Set.mem_iUnion", "Set.mem_iUnion_of_mem", "Set.mem_iUnion\u2082", "Set.mem_image", "Set.mem_image2_of_mem", "Set.mem_image_elim_on", "Set.mem_image_equiv", "Set.mem_image_iff_bex", "Set.mem_image_iff_of_inverse", "Set.mem_image_of_mem", "Set.mem_image_val_of_mem", "Set.mem_insert", "Set.mem_insert_iff", "Set.mem_insert_of_mem", "Set.mem_inter", "Set.mem_inter_iff", "Set.mem_inv", "Set.mem_inv_smul_set_iff", "Set.mem_inv_smul_set_iff\u2080", "Set.mem_ite_empty_left", "Set.mem_ite_empty_right", "Set.mem_list_prod", "Set.mem_maximals_iff_forall_insert", "Set.mem_minimals_iff_forall_diff_singleton", "Set.mem_mul", "Set.mem_mulAntidiagonal", "Set.mem_of_eq_of_mem", "Set.mem_of_mem_coe", "Set.mem_of_mem_diff", "Set.mem_of_mem_image_val", "Set.mem_of_mem_inter_left", "Set.mem_of_mem_inter_right", "Set.mem_of_mem_of_subset", "Set.mem_of_mulIndicator_ne_one", "Set.mem_of_subset_of_mem", "Set.mem_offDiag", "Set.mem_one", "Set.mem_op", "Set.mem_or_mem_of_mem_union", "Set.mem_ordConnectedComponent", "Set.mem_ordConnectedComponent_comm", "Set.mem_ordConnectedComponent_ordConnectedProj", "Set.mem_ordConnectedComponent_trans", "Set.mem_pi", "Set.mem_pow", "Set.mem_powerset", "Set.mem_preimage", "Set.mem_prod", "Set.mem_prod_eq", "Set.mem_prod_list_ofFn", "Set.mem_range", "Set.mem_range_mulIndicator", "Set.mem_range_of_mem_image", "Set.mem_range_self", "Set.mem_sUnion_of_mem", "Set.mem_sep_iff", "Set.mem_seq_iff", "Set.mem_setOf", "Set.mem_setOf_eq", "Set.mem_singleton", "Set.mem_singleton_iff", "Set.mem_singleton_of_eq", "Set.mem_smul", "Set.mem_smul_set", "Set.mem_smul_set_iff_inv_smul_mem", "Set.mem_smul_set_iff_inv_smul_mem\u2080", "Set.mem_star", "Set.mem_sups", "Set.mem_toFinset", "Set.mem_uIcc", "Set.mem_uIcc_of_ge", "Set.mem_uIcc_of_le", "Set.mem_uIoc", "Set.mem_union", "Set.mem_union_left", "Set.mem_union_right", "Set.mem_univ", "Set.mem_univ_pi", "Set.mem_vsub", "Set.mk_mem_prod", "Set.mk_mem_sigma", "Set.mk_preimage_prod", "Set.mk_preimage_prod_left", "Set.mk_preimage_prod_left_eq_empty", "Set.mk_preimage_prod_left_eq_if", "Set.mk_preimage_prod_left_fn_eq_if", "Set.mk_preimage_prod_right", "Set.mk_preimage_prod_right_eq_if", "Set.mk_preimage_prod_right_fn_eq_if", "Set.mk_preimage_sigma", "Set.mk_preimage_sigma_eq_empty", "Set.mk_preimage_tprod", "Set.mk_sigma_iff", "Set.monotoneOn_iff_monotone", "Set.monotoneOn_or_antitoneOn_iff_uIcc", "Set.monotoneOn_singleton", "Set.monotone_mem", "Set.monotone_or_antitone_iff_uIcc", "Set.monotone_powerset", "Set.monotone_preimage", "Set.monotone_projIcc", "Set.monotone_projIci", "Set.monotone_projIic", "Set.monotone_setOf", "Set.mulAntidiagonal_mono_right", "Set.mulIndicator_ae_eq_one", "Set.mulIndicator_apply", "Set.mulIndicator_apply_eq_one", "Set.mulIndicator_apply_eq_self", "Set.mulIndicator_apply_le", "Set.mulIndicator_apply_ne_one", "Set.mulIndicator_comp_right", "Set.mulIndicator_compl", "Set.mulIndicator_compl'", "Set.mulIndicator_congr", "Set.mulIndicator_const_preimage_eq_union", "Set.mulIndicator_diff", "Set.mulIndicator_diff'", "Set.mulIndicator_div", "Set.mulIndicator_div'", "Set.mulIndicator_empty'", "Set.mulIndicator_eq_one", "Set.mulIndicator_eq_one'", "Set.mulIndicator_eq_one_or_self", "Set.mulIndicator_eq_self", "Set.mulIndicator_eq_self_of_superset", "Set.mulIndicator_iInter_apply", "Set.mulIndicator_iUnion_apply", "Set.mulIndicator_inter_mulSupport", "Set.mulIndicator_le", "Set.mulIndicator_le_mulIndicator", "Set.mulIndicator_le_mulIndicator_of_subset", "Set.mulIndicator_le_one", "Set.mulIndicator_le_self", "Set.mulIndicator_le_self'", "Set.mulIndicator_mul", "Set.mulIndicator_mul'", "Set.mulIndicator_mulIndicator", "Set.mulIndicator_mulSupport", "Set.mulIndicator_mul_compl_eq_piecewise", "Set.mulIndicator_mul_eq_left", "Set.mulIndicator_mul_eq_right", "Set.mulIndicator_of_mem", "Set.mulIndicator_of_not_mem", "Set.mulIndicator_one_preimage", "Set.mulIndicator_preimage", "Set.mulIndicator_preimage_of_not_mem", "Set.mulIndicator_rel_mulIndicator", "Set.mulIndicator_self_mul_compl_apply", "Set.mulIndicator_symmDiff", "Set.mulIndicator_union_of_disjoint", "Set.mulIndicator_union_of_not_mem_inter", "Set.mulIndicator_univ", "Set.mulSupport_mulIndicator", "Set.mul_add_subset", "Set.mul_empty", "Set.mul_eq_empty", "Set.mul_eq_one_iff", "Set.mul_iInter_subset", "Set.mul_iInter\u2082_subset", "Set.mul_iUnion", "Set.mul_iUnion\u2082", "Set.mul_inter_subset", "Set.mul_mem_centralizer", "Set.mul_mem_mul", "Set.mul_singleton", "Set.mul_subset_iff", "Set.mul_subset_mul", "Set.mul_subset_mul_left", "Set.mul_subset_range", "Set.mul_univ", "Set.mul_univ_of_one_mem", "Set.mul_zero_subset", "Set.multiset_prod_mem_multiset_prod", "Set.multiset_prod_subset_multiset_prod", "Set.natCast_mem_center", "Set.ncard_add_ncard_compl", "Set.ncard_coe_Finset", "Set.ncard_congr", "Set.ncard_def", "Set.ncard_diff", "Set.ncard_diff_add_ncard", "Set.ncard_diff_add_ncard_of_subset", "Set.ncard_diff_singleton_add_one", "Set.ncard_diff_singleton_le", "Set.ncard_diff_singleton_lt_of_mem", "Set.ncard_empty", "Set.ncard_eq_ncard_iff_ncard_diff_eq_ncard_diff", "Set.ncard_eq_of_bijective", "Set.ncard_eq_one", "Set.ncard_eq_succ", "Set.ncard_eq_three", "Set.ncard_eq_toFinset_card", "Set.ncard_eq_toFinset_card'", "Set.ncard_eq_two", "Set.ncard_eq_zero", "Set.ncard_exchange'", "Set.ncard_image_iff", "Set.ncard_insert_eq_ite", "Set.ncard_insert_le", "Set.ncard_insert_of_mem", "Set.ncard_insert_of_not_mem", "Set.ncard_inter_add_ncard_diff_eq_ncard", "Set.ncard_inter_add_ncard_union", "Set.ncard_inter_le_ncard_right", "Set.ncard_le_ncard", "Set.ncard_le_ncard_diff_add_ncard", "Set.ncard_le_ncard_iff_ncard_diff_le_ncard_diff", "Set.ncard_le_ncard_insert", "Set.ncard_le_ncard_of_injOn", "Set.ncard_le_one", "Set.ncard_le_one_iff", "Set.ncard_le_one_iff_eq", "Set.ncard_le_one_iff_subset_singleton", "Set.ncard_le_one_of_subsingleton", "Set.ncard_lt_ncard", "Set.ncard_lt_ncard_iff_ncard_diff_lt_ncard_diff", "Set.ncard_map", "Set.ncard_ne_zero_of_mem", "Set.ncard_pair", "Set.ncard_pos", "Set.ncard_preimage_of_injective_subset_range", "Set.ncard_singleton", "Set.ncard_singleton_inter", "Set.ncard_strictMono", "Set.ncard_subtype", "Set.ncard_union_add_ncard_inter", "Set.ncard_union_eq", "Set.ncard_union_le", "Set.ncard_univ", "Set.neg_mem_center", "Set.neg_mem_centralizer", "Set.neg_smul", "Set.neg_smul_set", "Set.nil_mem_subchain", "Set.nmem_setOf_iff", "Set.nonempty_Icc", "Set.nonempty_Ico", "Set.nonempty_Ico_sdiff", "Set.nonempty_Iic", "Set.nonempty_Iio", "Set.nonempty_Ioc", "Set.nonempty_Ioc_subtype", "Set.nonempty_Ioi", "Set.nonempty_Ioo", "Set.nonempty_Ioo_subtype", "Set.nonempty_coe_sort", "Set.nonempty_compl", "Set.nonempty_compl_of_nontrivial", "Set.nonempty_iInter", "Set.nonempty_iInter_Ici_iff", "Set.nonempty_iInter_Iic_iff", "Set.nonempty_iInter\u2082", "Set.nonempty_iUnion", "Set.nonempty_iff_ne_empty", "Set.nonempty_iff_univ_nonempty", "Set.nonempty_inv", "Set.nonempty_of_encard_ne_zero", "Set.nonempty_of_mem", "Set.nonempty_of_ncard_ne_zero", "Set.nonempty_of_nonempty_iUnion", "Set.nonempty_of_nonempty_iUnion_eq_univ", "Set.nonempty_of_nonempty_subtype", "Set.nonempty_of_not_subset", "Set.nonempty_of_ssubset", "Set.nonempty_of_union_eq_top_of_nonempty", "Set.nonempty_ordConnectedComponent", "Set.nonempty_sInter", "Set.nonempty_sUnion", "Set.nonempty_star", "Set.nontrivial_coe_sort", "Set.nontrivial_iff_exists_ne", "Set.nontrivial_iff_ne_singleton", "Set.nontrivial_of_einfsep_lt_top", "Set.nontrivial_of_einfsep_ne_top", "Set.nontrivial_of_infsep_pos", "Set.nontrivial_of_lt", "Set.nontrivial_of_nontrivial", "Set.nontrivial_of_nontrivial_coe", "Set.nontrivial_of_pair_subset", "Set.nontrivial_of_preimage", "Set.nontrivial_of_univ_nontrivial", "Set.nontrivial_univ", "Set.nontrivial_univ_iff", "Set.not_bounded_iff", "Set.not_disjoint_iff", "Set.not_disjoint_iff_nonempty_inter", "Set.not_equitableOn", "Set.not_infinite", "Set.not_injOn_infinite_finite_image", "Set.not_mem_Icc_of_lt", "Set.not_mem_Ico_of_ge", "Set.not_mem_Iic", "Set.not_mem_Iio", "Set.not_mem_Ioc_of_gt", "Set.not_mem_Ioc_of_le", "Set.not_mem_Ioi_self", "Set.not_mem_Ioo_of_ge", "Set.not_mem_Ioo_of_le", "Set.not_mem_diff_of_mem", "Set.not_mem_empty", "Set.not_mem_of_mem_diff", "Set.not_mem_of_not_mem_sUnion", "Set.not_mem_subset", "Set.not_mem_uIcc_of_lt", "Set.not_mem_uIoc", "Set.not_monotoneOn_not_antitoneOn_iff_exists_le_le", "Set.not_monotoneOn_not_antitoneOn_iff_exists_lt_lt", "Set.not_nonempty_empty", "Set.not_nonempty_iff_eq_empty", "Set.not_nonempty_iff_eq_empty'", "Set.not_nontrivial_empty", "Set.not_nontrivial_iff", "Set.not_nontrivial_singleton", "Set.not_not_mem", "Set.not_one_mem_div_iff", "Set.not_ordConnected_inter_Icc_iff", "Set.not_subset", "Set.not_subset_iff_exists_mem_not_mem", "Set.not_subsingleton_iff", "Set.not_unbounded_iff", "Set.nsmul_univ", "Set.ofNat_mem_center", "Set.offDiag_empty", "Set.offDiag_eq_empty", "Set.offDiag_eq_sep_prod", "Set.offDiag_insert", "Set.offDiag_inter", "Set.offDiag_nonempty", "Set.offDiag_singleton", "Set.offDiag_subset_prod", "Set.offDiag_union", "Set.offDiag_univ", "Set.one_le_chainHeight_iff", "Set.one_le_encard_iff_nonempty", "Set.one_le_mulIndicator_apply", "Set.one_lt_encard_iff", "Set.one_lt_ncard", "Set.one_lt_ncard_iff", "Set.one_mem_center", "Set.one_mem_centralizer", "Set.one_mem_div_iff", "Set.one_mem_one", "Set.one_nonempty", "Set.op_mem_op", "Set.op_smul_inter_ne_empty_iff", "Set.op_smul_set_smul_eq_smul_smul_set", "Set.op_smul_set_subset_mul", "Set.op_unop", "Set.ordConnectedComponent_eq", "Set.ordConnectedComponent_eq_empty", "Set.ordConnectedComponent_inter", "Set.ordConnectedComponent_mem_nhds", "Set.ordConnectedComponent_ordConnectedProj", "Set.ordConnectedProj_eq", "Set.ordConnectedProj_mem_ordConnectedComponent", "Set.ordConnected_Icc", "Set.ordConnected_Ici", "Set.ordConnected_Ico", "Set.ordConnected_Iio", "Set.ordConnected_Ioc", "Set.ordConnected_Ioi", "Set.ordConnected_Ioo", "Set.ordConnected_biInter", "Set.ordConnected_dual", "Set.ordConnected_empty", "Set.ordConnected_iff", "Set.ordConnected_iff_uIcc_subset_left", "Set.ordConnected_iff_uIcc_subset_right", "Set.ordConnected_image", "Set.ordConnected_inter_Icc_iff", "Set.ordConnected_inter_Icc_of_subset", "Set.ordConnected_of_Ioo", "Set.ordConnected_of_uIcc_subset_left", "Set.ordConnected_range", "Set.ordConnected_singleton", "Set.ordConnected_uIoc", "Set.ordConnected_univ", "Set.ordT5Nhd_mem_nhdsSet", "Set.pair_diff_left", "Set.pair_eq_singleton", "Set.pair_subset", "Set.pair_subset_iff", "Set.pairwiseDisjoint_empty", "Set.pairwiseDisjoint_fiber", "Set.pairwiseDisjoint_image_left_iff", "Set.pairwiseDisjoint_image_right_iff", "Set.pairwiseDisjoint_prod_left", "Set.pairwiseDisjoint_range_iff", "Set.pairwiseDisjoint_sUnion", "Set.pairwiseDisjoint_singleton", "Set.pairwiseDisjoint_union", "Set.pairwise_disjoint_Ico_add_intCast", "Set.pairwise_disjoint_Ico_intCast", "Set.pairwise_disjoint_Ico_mul_zpow", "Set.pairwise_disjoint_Ico_zpow", "Set.pairwise_disjoint_Ioc_add_intCast", "Set.pairwise_disjoint_Ioc_intCast", "Set.pairwise_disjoint_Ioc_mul_zpow", "Set.pairwise_disjoint_Ioc_zpow", "Set.pairwise_disjoint_Ioo_add_intCast", "Set.pairwise_disjoint_Ioo_intCast", "Set.pairwise_disjoint_Ioo_mul_zpow", "Set.pairwise_disjoint_Ioo_zpow", "Set.pairwise_empty", "Set.pairwise_eq_iff_exists_eq", "Set.pairwise_iUnion", "Set.pairwise_iff_of_refl", "Set.pairwise_insert", "Set.pairwise_insert_of_not_mem", "Set.pairwise_of_forall", "Set.pairwise_sUnion", "Set.pairwise_singleton", "Set.pairwise_top", "Set.pairwise_union", "Set.pairwise_union_of_symmetric", "Set.pairwise_univ", "Set.partiallyWellOrderedOn_empty", "Set.partiallyWellOrderedOn_iff_exists_monotone_subseq", "Set.partiallyWellOrderedOn_iff_finite_antichains", "Set.partiallyWellOrderedOn_insert", "Set.partiallyWellOrderedOn_union", "Set.pi_congr", "Set.pi_def", "Set.pi_diff_pi_subset", "Set.pi_eq_empty", "Set.pi_eq_empty_iff", "Set.pi_eq_empty_iff'", "Set.pi_inter_compl", "Set.pi_inter_distrib", "Set.pi_mono", "Set.pi_nonempty_iff", "Set.pi_piecewise", "Set.pi_subset_pi_iff", "Set.pi_univ_Icc", "Set.pi_univ_Ici", "Set.pi_univ_Ico_subset", "Set.pi_univ_Iic", "Set.pi_univ_Ioc_subset", "Set.pi_univ_Ioc_update_left", "Set.pi_univ_Ioc_update_right", "Set.pi_univ_Ioc_update_union", "Set.pi_univ_Ioo_subset", "Set.pi_univ_ite", "Set.pi_univ_uIcc", "Set.pi_update_of_mem", "Set.pi_update_of_not_mem", "Set.piecewise_compl", "Set.piecewise_empty", "Set.piecewise_eqOn", "Set.piecewise_eqOn_compl", "Set.piecewise_eq_mulIndicator", "Set.piecewise_eq_of_mem", "Set.piecewise_eq_of_not_mem", "Set.piecewise_insert", "Set.piecewise_insert_of_ne", "Set.piecewise_insert_self", "Set.piecewise_inv", "Set.piecewise_mem_Icc", "Set.piecewise_mem_Icc'", "Set.piecewise_mul", "Set.piecewise_op", "Set.piecewise_op\u2082", "Set.piecewise_preimage", "Set.piecewise_same", "Set.piecewise_singleton", "Set.piecewise_univ", "Set.pow_mem_pow", "Set.pow_subset_pow", "Set.pow_subset_pow_of_one_mem", "Set.powerset_empty", "Set.powerset_insert", "Set.powerset_mono", "Set.powerset_nonempty", "Set.powerset_singleton", "Set.powerset_univ", "Set.pred_ncard_le_ncard_diff_singleton", "Set.preimage_add_const_Icc", "Set.preimage_add_const_Ici", "Set.preimage_add_const_Ico", "Set.preimage_add_const_Iic", "Set.preimage_add_const_Iio", "Set.preimage_add_const_Ioi", "Set.preimage_add_const_Ioo", "Set.preimage_add_const_uIcc", "Set.preimage_boolIndicator", "Set.preimage_boolIndicator_eq_union", "Set.preimage_boolIndicator_false", "Set.preimage_boolIndicator_true", "Set.preimage_coe_coe_diagonal", "Set.preimage_comp", "Set.preimage_compl", "Set.preimage_compl_eq_image_compl", "Set.preimage_congr", "Set.preimage_const", "Set.preimage_const_add_Icc", "Set.preimage_const_add_Ici", "Set.preimage_const_add_Ico", "Set.preimage_const_add_Iio", "Set.preimage_const_add_Ioc", "Set.preimage_const_add_Ioo", "Set.preimage_const_add_uIcc", "Set.preimage_const_mul_Icc", "Set.preimage_const_mul_Icc_of_neg", "Set.preimage_const_mul_Ico_of_neg", "Set.preimage_const_mul_Iic_of_neg", "Set.preimage_const_mul_Iio", "Set.preimage_const_mul_Iio_of_neg", "Set.preimage_const_mul_Ioc", "Set.preimage_const_mul_Ioc_of_neg", "Set.preimage_const_mul_Ioi", "Set.preimage_const_mul_Ioi_of_neg", "Set.preimage_const_mul_Ioo", "Set.preimage_const_mul_Ioo_of_neg", "Set.preimage_const_mul_uIcc", "Set.preimage_const_of_not_mem", "Set.preimage_const_sub_Icc", "Set.preimage_const_sub_Ici", "Set.preimage_const_sub_Ico", "Set.preimage_const_sub_Iic", "Set.preimage_const_sub_Ioc", "Set.preimage_const_sub_Ioi", "Set.preimage_const_sub_Ioo", "Set.preimage_const_sub_uIcc", "Set.preimage_diff", "Set.preimage_div", "Set.preimage_div_const_uIcc", "Set.preimage_div_preimage_subset", "Set.preimage_empty", "Set.preimage_eq", "Set.preimage_eq_core", "Set.preimage_eq_empty", "Set.preimage_eq_empty_iff", "Set.preimage_eq_preimage", "Set.preimage_eq_preimage'", "Set.preimage_eq_univ_iff", "Set.preimage_equiv_eq_image_symm", "Set.preimage_iInter\u2082", "Set.preimage_iUnion", "Set.preimage_iUnionLift", "Set.preimage_iUnion\u2082", "Set.preimage_id'", "Set.preimage_id_eq", "Set.preimage_image_eq", "Set.preimage_image_preimage", "Set.preimage_injective", "Set.preimage_inl_image_inr", "Set.preimage_inl_range_inr", "Set.preimage_inr_range_inl", "Set.preimage_inter", "Set.preimage_invFun_of_mem", "Set.preimage_invFun_of_not_mem", "Set.preimage_iterate_eq", "Set.preimage_kernImage", "Set.preimage_liftCover", "Set.preimage_mono", "Set.preimage_mul", "Set.preimage_mul_const_Icc", "Set.preimage_mul_const_Icc_of_neg", "Set.preimage_mul_const_Ici", "Set.preimage_mul_const_Ici_of_neg", "Set.preimage_mul_const_Ico", "Set.preimage_mul_const_Ico_of_neg", "Set.preimage_mul_const_Iic", "Set.preimage_mul_const_Iio", "Set.preimage_mul_const_Ioc", "Set.preimage_mul_const_Ioc_of_neg", "Set.preimage_mul_const_Ioi", "Set.preimage_mul_const_Ioi_of_neg", "Set.preimage_mul_const_Ioo", "Set.preimage_mul_const_Ioo_of_neg", "Set.preimage_mul_const_uIcc", "Set.preimage_mul_left_one", "Set.preimage_mul_left_singleton", "Set.preimage_mul_preimage_subset", "Set.preimage_mul_right_one", "Set.preimage_mul_right_one'", "Set.preimage_mul_right_singleton", "Set.preimage_neg_Icc", "Set.preimage_neg_Ici", "Set.preimage_neg_Ico", "Set.preimage_neg_Iic", "Set.preimage_neg_Ioc", "Set.preimage_neg_Ioi", "Set.preimage_neg_Ioo", "Set.preimage_neg_uIcc", "Set.preimage_one", "Set.preimage_pi", "Set.preimage_preimage", "Set.preimage_range_inter", "Set.preimage_sInter", "Set.preimage_sUnion", "Set.preimage_setOf_eq", "Set.preimage_sigmaMap_sigma", "Set.preimage_singleton_eq_empty", "Set.preimage_singleton_false", "Set.preimage_singleton_true", "Set.preimage_smul", "Set.preimage_smul_inv", "Set.preimage_smul_inv\u2080", "Set.preimage_smul\u2080", "Set.preimage_sub_const_Icc", "Set.preimage_sub_const_Ico", "Set.preimage_sub_const_Iic", "Set.preimage_sub_const_Iio", "Set.preimage_sub_const_Ioc", "Set.preimage_sub_const_Ioi", "Set.preimage_sub_const_Ioo", "Set.preimage_sub_const_uIcc", "Set.preimage_subtype_coe_eq_compl", "Set.preimage_subtype_val_Icc", "Set.preimage_subtype_val_Ico", "Set.preimage_subtype_val_Iic", "Set.preimage_subtype_val_Iio", "Set.preimage_subtype_val_Ioc", "Set.preimage_subtype_val_Ioi", "Set.preimage_subtype_val_Ioo", "Set.preimage_surjective", "Set.preimage_swap_prod", "Set.preimage_symmDiff", "Set.preimage_univ", "Set.preimage_val_eq_univ_of_subset", "Set.preimage_val_iInter", "Set.preimage_val_image_val_eq_self", "Set.preimage_val_sInter", "Set.preimage_val_sInter_eq_sInter", "Set.preimage_val_sUnion", "Set.prod_diff_prod", "Set.prod_eq", "Set.prod_eq_biUnion_left", "Set.prod_eq_biUnion_right", "Set.prod_eq_empty_iff", "Set.prod_eq_iff_eq", "Set.prod_eq_prod_iff", "Set.prod_eq_prod_iff_of_nonempty", "Set.prod_eq_seq", "Set.prod_eq_univ", "Set.prod_iInter", "Set.prod_iUnion", "Set.prod_image_image_eq", "Set.prod_image_seq_comm", "Set.prod_insert", "Set.prod_inter", "Set.prod_inter_prod", "Set.prod_mk_mem_set_prod_eq", "Set.prod_mono", "Set.prod_mono_left", "Set.prod_nonempty_iff", "Set.prod_preimage_eq", "Set.prod_preimage_left", "Set.prod_preimage_right", "Set.prod_range_range_eq", "Set.prod_range_univ_eq", "Set.prod_sInter", "Set.prod_sUnion", "Set.prod_sdiff_diagonal", "Set.prod_self_eq_iUnion_perm", "Set.prod_self_ssubset_prod_self", "Set.prod_singleton", "Set.prod_sub_preimage_iff", "Set.prod_subset_compl_diagonal_iff_disjoint", "Set.prod_subset_iff", "Set.prod_subset_prod_iff", "Set.prod_union", "Set.prod_univ", "Set.prod_univ_range_eq", "Set.projIcc_eq_left", "Set.projIcc_eq_right", "Set.projIcc_left", "Set.projIcc_of_mem", "Set.projIcc_of_right_le", "Set.projIcc_right", "Set.projIcc_surjOn", "Set.projIci_eq_self", "Set.projIci_of_le", "Set.projIci_of_mem", "Set.projIci_surjective", "Set.projIic_coe", "Set.projIic_eq_self", "Set.projIic_of_le", "Set.projIic_of_mem", "Set.projIic_self", "Set.projIic_surjOn", "Set.pure_def", "Set.rangeFactorization_coe", "Set.rangeFactorization_eq", "Set.rangeSplitting_injective", "Set.range_IciExtend", "Set.range_IicExtend", "Set.range_comp", "Set.range_comp_subset_range", "Set.range_const", "Set.range_const_eq_diagonal", "Set.range_dcomp", "Set.range_diag", "Set.range_diff_image_subset", "Set.range_enumerateCountable_of_mem", "Set.range_enumerateCountable_subset", "Set.range_eq_empty", "Set.range_eq_empty_iff", "Set.range_eq_iUnion", "Set.range_eq_iff", "Set.range_eval", "Set.range_extend", "Set.range_extend_subset", "Set.range_id", "Set.range_iff_surjective", "Set.range_inclusion", "Set.range_inl_inter_range_inr", "Set.range_inr", "Set.range_inr_union_range_inl", "Set.range_ite_subset", "Set.range_ite_subset'", "Set.range_list_get", "Set.range_list_get?", "Set.range_list_getD", "Set.range_list_map", "Set.range_list_map_coe", "Set.range_nonempty", "Set.range_nonempty_iff_nonempty", "Set.range_one", "Set.range_pair_subset", "Set.range_piecewise", "Set.range_prod_map", "Set.range_projIcc", "Set.range_projIic", "Set.range_quotient_lift_on'", "Set.range_quotient_mk", "Set.range_quotient_mk'", "Set.range_restrict", "Set.range_restrictPreimage", "Set.range_sigmaMk", "Set.range_sigma_eq_iUnion_range", "Set.range_smul_range", "Set.range_some_inter_none", "Set.range_some_union_none", "Set.range_subset_iff", "Set.range_subset_singleton", "Set.range_subtype_map", "Set.range_unique", "Set.relatively_discrete_of_finite", "Set.restrictPreimage_bijective", "Set.restrictPreimage_closedEmbedding", "Set.restrictPreimage_embedding", "Set.restrictPreimage_inducing", "Set.restrictPreimage_injective", "Set.restrictPreimage_openEmbedding", "Set.restrictPreimage_surjective", "Set.restrict_comp_codRestrict", "Set.restrict_dite", "Set.restrict_dite_compl", "Set.restrict_eq", "Set.restrict_eq_restrict_iff", "Set.restrict_extend_compl_range", "Set.rightInvOn_id", "Set.rightInverse_rangeSplitting", "Set.right_mem_Icc", "Set.right_mem_Iic", "Set.right_mem_Ioc", "Set.right_mem_Ioo", "Set.right_mem_cIcc", "Set.right_mem_uIcc", "Set.right_mem_uIoc", "Set.sInter_diff_singleton_univ", "Set.sInter_eq_biInter", "Set.sInter_eq_compl_sUnion_compl", "Set.sInter_eq_iInter", "Set.sInter_eq_univ", "Set.sInter_iUnion", "Set.sInter_image", "Set.sInter_pair", "Set.sInter_prod", "Set.sInter_prod_sInter", "Set.sInter_prod_sInter_subset", "Set.sInter_range", "Set.sInter_subset_of_mem", "Set.sInter_subset_sInter", "Set.sInter_union", "Set.sInter_union_sInter", "Set.sSup_eq_sUnion", "Set.sUnion_diff_singleton_empty", "Set.sUnion_empty", "Set.sUnion_eq_biUnion", "Set.sUnion_eq_compl_sInter_compl", "Set.sUnion_eq_empty", "Set.sUnion_eq_iUnion", "Set.sUnion_eq_univ_iff", "Set.sUnion_iUnion", "Set.sUnion_image", "Set.sUnion_insert", "Set.sUnion_inter_sUnion", "Set.sUnion_mem_empty_univ", "Set.sUnion_pair", "Set.sUnion_prod_const", "Set.sUnion_range", "Set.sUnion_singleton", "Set.sUnion_subset", "Set.sUnion_subset_sUnion", "Set.sUnion_union", "Set.sdiff_singleton_covBy", "Set.sdiff_singleton_wcovBy", "Set.self_mem_ordConnectedComponent", "Set.sep_and", "Set.sep_empty", "Set.sep_eq_empty_iff_mem_false", "Set.sep_eq_of_subset", "Set.sep_eq_self_iff_mem_true", "Set.sep_ext_iff", "Set.sep_false", "Set.sep_infs_le", "Set.sep_inter", "Set.sep_of_ncard_eq", "Set.sep_or", "Set.sep_setOf", "Set.sep_subset", "Set.sep_sups_le", "Set.sep_univ", "Set.seq_def", "Set.seq_eq_image2", "Set.seq_mono", "Set.seq_of_forall_finite_exists", "Set.seq_seq", "Set.seq_singleton", "Set.seq_subset", "Set.setOf_and", "Set.setOf_app_iff", "Set.setOf_bot", "Set.setOf_eq_eq_singleton", "Set.setOf_eq_eq_singleton'", "Set.setOf_exists", "Set.setOf_false", "Set.setOf_forall", "Set.setOf_mem_eq", "Set.setOf_or", "Set.setOf_subset_setOf", "Set.setOf_top", "Set.setOf_true", "Set.set_smul_subset_iff\u2080", "Set.set_smul_subset_set_smul_iff", "Set.sigmaToiUnion_bijective", "Set.sigmaToiUnion_surjective", "Set.sigma_diff_sigma", "Set.sigma_empty", "Set.sigma_eq_empty_iff", "Set.sigma_insert", "Set.sigma_inter_sigma", "Set.sigma_mono", "Set.sigma_preimage_eq", "Set.sigma_preimage_left", "Set.sigma_singleton", "Set.sigma_subset_iff", "Set.sigma_union", "Set.sigma_univ", "Set.sigma_univ_range_eq", "Set.singletonMonoidHom_apply", "Set.singletonMulHom_apply", "Set.singleton_def", "Set.singleton_div", "Set.singleton_div_singleton", "Set.singleton_eq_singleton_iff", "Set.singleton_infs_singleton", "Set.singleton_inter_eq_empty", "Set.singleton_inter_nonempty", "Set.singleton_mem_subchain_iff", "Set.singleton_mul", "Set.singleton_mul_singleton", "Set.singleton_ne_empty", "Set.singleton_nonempty", "Set.singleton_one", "Set.singleton_op", "Set.singleton_op_unop", "Set.singleton_pi", "Set.singleton_pi'", "Set.singleton_prod", "Set.singleton_prod_singleton", "Set.singleton_sigma", "Set.singleton_sigma_singleton", "Set.singleton_smul_singleton", "Set.singleton_subset_iff", "Set.singleton_sups_singleton", "Set.singleton_union", "Set.singleton_unop", "Set.singleton_unop_op", "Set.sized_empty", "Set.sized_iUnion", "Set.sized_singleton", "Set.sized_union", "Set.smul_empty", "Set.smul_eq_empty", "Set.smul_iInter_subset", "Set.smul_iInter\u2082_subset", "Set.smul_iUnion", "Set.smul_inter_ne_empty_iff", "Set.smul_inter_ne_empty_iff'", "Set.smul_inter_subset", "Set.smul_mem_center", "Set.smul_mem_centralizer", "Set.smul_mem_smul_set", "Set.smul_mem_smul_set_iff", "Set.smul_mem_smul_set_iff\u2080", "Set.smul_neg", "Set.smul_set_compl", "Set.smul_set_disjoint_iff", "Set.smul_set_empty", "Set.smul_set_eq_empty", "Set.smul_set_iInter", "Set.smul_set_iInter_subset", "Set.smul_set_iInter\u2082_subset", "Set.smul_set_iUnion", "Set.smul_set_iUnion\u2082", "Set.smul_set_inter", "Set.smul_set_inter_subset", "Set.smul_set_mono", "Set.smul_set_neg", "Set.smul_set_nonempty", "Set.smul_set_sdiff", "Set.smul_set_singleton", "Set.smul_set_subset_iff", "Set.smul_set_symmDiff", "Set.smul_set_symmDiff\u2080", "Set.smul_set_union", "Set.smul_set_univ\u2080", "Set.smul_singleton", "Set.smul_subset_iff", "Set.smul_subset_smul", "Set.smul_subset_smul_right", "Set.smul_union", "Set.smul_univ", "Set.smul_univ\u2080'", "Set.smul_zero_subset", "Set.snd_image_prod", "Set.snd_image_prod_subset", "Set.ssubset_def", "Set.ssubset_iff_insert", "Set.ssubset_iff_sdiff_singleton", "Set.ssubset_iff_subset_ne", "Set.ssubset_insert", "Set.ssubset_of_ssubset_of_subset", "Set.ssubset_of_subset_of_ssubset", "Set.ssubset_singleton_iff", "Set.ssubset_toFinset", "Set.star_add", "Set.star_empty", "Set.star_inv", "Set.star_inv'", "Set.star_mem_center", "Set.star_mem_centralizer'", "Set.star_mem_star", "Set.star_mul", "Set.star_singleton", "Set.star_subset", "Set.star_subset_star", "Set.star_univ", "Set.strictAntiOn_iff_strictAnti", "Set.strictMonoOn_iff_strictMono", "Set.strictMonoOn_projIcc", "Set.strictMonoOn_projIci", "Set.strictMonoOn_projIic", "Set.sub_mem_Icc_iff_left", "Set.sub_mem_Icc_iff_right", "Set.sub_mem_Ico_iff_left", "Set.sub_mem_Ico_iff_right", "Set.sub_mem_Ioc_iff_left", "Set.sub_mem_Ioc_iff_right", "Set.sub_mem_Ioo_iff_left", "Set.sub_mem_Ioo_iff_right", "Set.subset_accumulate", "Set.subset_biUnion_of_mem", "Set.subset_center_units", "Set.subset_centralizer_centralizer", "Set.subset_compl_comm", "Set.subset_compl_iff_disjoint_left", "Set.subset_compl_iff_disjoint_right", "Set.subset_compl_singleton_iff", "Set.subset_def", "Set.subset_diff_singleton", "Set.subset_diff_union", "Set.subset_empty_iff", "Set.subset_eq_empty", "Set.subset_eval_image_pi", "Set.subset_iInter", "Set.subset_iInter_iff", "Set.subset_iInter\u2082", "Set.subset_iInter\u2082_iff", "Set.subset_iUnion", "Set.subset_iUnion\u2082", "Set.subset_iUnion\u2082_of_subset", "Set.subset_iff_eq_of_ncard_le", "Set.subset_image_diff", "Set.subset_image_iff", "Set.subset_image_union", "Set.subset_insert", "Set.subset_insert_diff_singleton", "Set.subset_insert_iff", "Set.subset_insert_iff_of_not_mem", "Set.subset_inter", "Set.subset_inter_iff", "Set.subset_ite", "Set.subset_mul_left", "Set.subset_mul_right", "Set.subset_ordConnectedComponent", "Set.subset_pair_iff", "Set.subset_pair_iff_eq", "Set.subset_pi_eval_image", "Set.subset_powerset_iff", "Set.subset_preimage_image", "Set.subset_preimage_univ", "Set.subset_preimage_val_image_val_iff", "Set.subset_range_enumerate", "Set.subset_range_iff_exists_image_eq", "Set.subset_range_of_surjective", "Set.subset_sInter", "Set.subset_sInter_iff", "Set.subset_sUnion_of_mem", "Set.subset_sUnion_of_subset", "Set.subset_setOf", "Set.subset_set_smul_iff", "Set.subset_singleton_iff", "Set.subset_singleton_iff_eq", "Set.subset_sups_self", "Set.subset_symmDiff_union_symmDiff_left", "Set.subset_toFinset", "Set.subset_union_compl_iff_inter_subset", "Set.subset_union_left", "Set.subset_union_of_subset_right", "Set.subset_union_right", "Set.subset_univ", "Set.subsingleton_Icc_iff", "Set.subsingleton_Icc_of_ge", "Set.subsingleton_coe", "Set.subsingleton_iff_singleton", "Set.subsingleton_isTop", "Set.subsingleton_of_einfsep_eq_top", "Set.subsingleton_of_forall_eq", "Set.subsingleton_of_image", "Set.subsingleton_of_isLUB_le_isGLB", "Set.subsingleton_of_preimage", "Set.subsingleton_of_subsingleton", "Set.subsingleton_singleton", "Set.subsingleton_univ_iff", "Set.subsingleton_zero_smul_set", "Set.sup_eq_union", "Set.sups_assoc", "Set.sups_comm", "Set.sups_empty", "Set.sups_eq_empty", "Set.sups_eq_self", "Set.sups_infs_subset_left", "Set.sups_infs_subset_right", "Set.sups_inter_subset_right", "Set.sups_nonempty", "Set.sups_right_comm", "Set.sups_subset", "Set.sups_subset_iff", "Set.sups_subset_left", "Set.sups_subset_right", "Set.sups_sups_sups_comm", "Set.sups_union_right", "Set.surjOn_empty", "Set.surjOn_empty_iff", "Set.surjOn_iInter", "Set.surjOn_iUnion", "Set.surjOn_iUnion\u2082", "Set.surjOn_iUnion\u2082_iUnion\u2082", "Set.surjOn_id", "Set.surjOn_iff_exists_bijOn_subset", "Set.surjOn_iff_exists_map_subtype", "Set.surjOn_image", "Set.surjOn_of_subsingleton", "Set.surjOn_sUnion", "Set.surj_on_of_inj_on_of_ncard_le", "Set.surjective_iff_surjOn_univ", "Set.surjective_iff_surjective_of_iUnion_eq_univ", "Set.surjective_mapsTo_image_restrict", "Set.swap_mem_mulAntidiagonal", "Set.swap_mem_mulAntidiagonal_aux", "Set.symmDiff_eq_empty", "Set.symmDiff_subset_union", "Set.toFinite", "Set.toFinite_toFinset", "Set.toFinset_Ici", "Set.toFinset_Ico", "Set.toFinset_Iic", "Set.toFinset_Iio", "Set.toFinset_Ioc", "Set.toFinset_card", "Set.toFinset_compl", "Set.toFinset_congr", "Set.toFinset_diff", "Set.toFinset_empty", "Set.toFinset_eq_empty", "Set.toFinset_eq_univ", "Set.toFinset_inj", "Set.toFinset_insert", "Set.toFinset_inter", "Set.toFinset_mul", "Set.toFinset_nonempty", "Set.toFinset_ofFinset", "Set.toFinset_prod", "Set.toFinset_setOf", "Set.toFinset_singleton", "Set.toFinset_smul_set", "Set.toFinset_ssubset", "Set.toFinset_ssubset_toFinset", "Set.toFinset_ssubset_univ", "Set.toFinset_subset", "Set.toFinset_subset_toFinset", "Set.toFinset_symmDiff", "Set.toFinset_union", "Set.toFinset_vsub", "Set.to_countable", "Set.top_eq_univ", "Set.tsub_encard_le_encard_diff", "Set.two_lt_ncard", "Set.two_lt_ncard_iff", "Set.uIcc_comm", "Set.uIcc_eq_union", "Set.uIcc_injective_left", "Set.uIcc_injective_right", "Set.uIcc_of_ge", "Set.uIcc_of_le", "Set.uIcc_of_lt", "Set.uIcc_of_not_ge", "Set.uIcc_of_not_le", "Set.uIcc_prod_eq", "Set.uIcc_prod_uIcc", "Set.uIcc_self", "Set.uIcc_subset_uIcc", "Set.uIcc_subset_uIcc_iff_le'", "Set.uIcc_subset_uIcc_iff_mem", "Set.uIcc_subset_uIcc_left", "Set.uIcc_subset_uIcc_right", "Set.uIcc_subset_uIcc_union_uIcc", "Set.uIoc_comm", "Set.uIoc_eq_union", "Set.uIoc_injective_left", "Set.uIoc_injective_right", "Set.uIoc_of_ge", "Set.uIoc_of_le", "Set.uIoc_subset_uIcc", "Set.uIoc_subset_uIoc_of_uIcc_subset_uIcc", "Set.unbounded_ge_iff_unbounded_inter_ge", "Set.unbounded_ge_inter_gt", "Set.unbounded_ge_inter_not_ge", "Set.unbounded_ge_of_forall_exists_gt", "Set.unbounded_gt_iff_unbounded_ge", "Set.unbounded_gt_inter_not_gt", "Set.unbounded_gt_of_forall_exists_ge", "Set.unbounded_gt_of_unbounded_ge", "Set.unbounded_inter_not", "Set.unbounded_le_Ici", "Set.unbounded_le_iff", "Set.unbounded_le_inter_le", "Set.unbounded_le_inter_lt", "Set.unbounded_le_inter_not_le", "Set.unbounded_le_of_forall_exists_lt", "Set.unbounded_le_univ", "Set.unbounded_lt_Ici", "Set.unbounded_lt_Ioi", "Set.unbounded_lt_iff", "Set.unbounded_lt_iff_unbounded_le", "Set.unbounded_lt_inter_lt", "Set.unbounded_lt_inter_not_lt", "Set.unbounded_lt_of_forall_exists_le", "Set.unbounded_lt_of_unbounded_le", "Set.union_assoc", "Set.union_comm", "Set.union_compl_self", "Set.union_congr_left", "Set.union_congr_right", "Set.union_def", "Set.union_diff_cancel", "Set.union_diff_cancel'", "Set.union_diff_cancel_left", "Set.union_diff_cancel_right", "Set.union_diff_distrib", "Set.union_diff_left", "Set.union_diff_right", "Set.union_diff_self", "Set.union_distrib_iInter_left", "Set.union_distrib_iInter_right", "Set.union_div", "Set.union_div_inter_subset_union", "Set.union_empty", "Set.union_empty_iff", "Set.union_eq_diff_union_diff_union_inter", "Set.union_eq_iUnion", "Set.union_eq_left", "Set.union_eq_self_of_subset_left", "Set.union_eq_self_of_subset_right", "Set.union_eq_union_iff_left", "Set.union_eq_union_iff_right", "Set.union_finset_finite_of_range_finite", "Set.union_iInter", "Set.union_iInter\u2082", "Set.union_insert", "Set.union_inter_cancel_left", "Set.union_inter_cancel_right", "Set.union_inter_distrib_left", "Set.union_inter_distrib_right", "Set.union_inv", "Set.union_left_comm", "Set.union_mul", "Set.union_mul_inter_subset", "Set.union_mul_inter_subset_union", "Set.union_nonempty", "Set.union_pi", "Set.union_pi_inter", "Set.union_right_comm", "Set.union_self", "Set.union_singleton", "Set.union_star", "Set.union_subset", "Set.union_subset_iff", "Set.union_subset_union", "Set.union_union_distrib_left", "Set.union_union_distrib_right", "Set.union_union_union_comm", "Set.union_univ", "Set.union_vsub", "Set.uniqueElim_preimage", "Set.unit_valuation_eq_one", "Set.units_inv_mem_center", "Set.univ_disjoint", "Set.univ_div_univ", "Set.univ_eq_empty_iff", "Set.univ_eq_true_false", "Set.univ_finite_iff_nonempty_fintype", "Set.univ_inter", "Set.univ_mul", "Set.univ_mul_of_one_mem", "Set.univ_mul_univ", "Set.univ_nonempty", "Set.univ_pi_empty", "Set.univ_pi_eq_empty", "Set.univ_pi_eq_empty_iff", "Set.univ_pi_eq_iInter", "Set.univ_pi_ite", "Set.univ_pi_nonempty_iff", "Set.univ_pi_piecewise", "Set.univ_pi_piecewise_univ", "Set.univ_pi_singleton", "Set.univ_pi_update", "Set.univ_pi_update_univ", "Set.univ_pow", "Set.univ_prod", "Set.univ_prod_univ", "Set.univ_sigma_univ", "Set.univ_subset_iff", "Set.univ_subtype", "Set.univ_union", "Set.univ_unique", "Set.unop_mem_unop", "Set.unop_op", "Set.up_empty", "Set.up_image", "Set.up_mul", "Set.up_one", "Set.update_image", "Set.update_preimage_pi", "Set.val_codRestrict_apply", "Set.val_comp_inclusion", "Set.vsub_empty", "Set.vsub_eq_empty", "Set.vsub_iInter\u2082_subset", "Set.vsub_iUnion", "Set.vsub_iUnion\u2082", "Set.vsub_inter_subset", "Set.vsub_mem_vsub", "Set.vsub_nonempty", "Set.vsub_self_mono", "Set.vsub_singleton", "Set.vsub_subset_iff", "Set.vsub_subset_vsub_left", "Set.vsub_subset_vsub_right", "Set.wcovBy_insert", "Set.wellFoundedGT_of_chainHeight_ne_top", "Set.wellFoundedLT_of_chainHeight_ne_top", "Set.wellFoundedOn_empty", "Set.wellFoundedOn_iff", "Set.wellFoundedOn_iff_no_descending_seq", "Set.wellFoundedOn_image", "Set.wellFoundedOn_insert", "Set.wellFoundedOn_range", "Set.wellFoundedOn_univ", "Set.zero_div_subset", "Set.zero_mem_center", "Set.zero_mem_centralizer", "Set.zero_mem_smul_iff", "Set.zero_mem_smul_set", "Set.zero_mem_smul_set_iff", "Set.zero_mul_subset", "Set.zero_smul_set", "Set.zero_smul_set_subset", "Set.zero_smul_subset", "SetCoe.exists", "SetCoe.ext_iff", "SetCoe.forall", "SetCoe.forall'", "SetLike.GradeZero.coe_algebraMap", "SetLike.GradeZero.coe_mul", "SetLike.GradeZero.coe_natCast", "SetLike.GradeZero.coe_ofNat", "SetLike.GradeZero.coe_pow", "SetLike.Homogeneous.graded_smul", "SetLike.algebraMap_mem_graded", "SetLike.coe_eq_coe", "SetLike.coe_gMul", "SetLike.coe_gOne", "SetLike.coe_gnpow", "SetLike.coe_injective", "SetLike.coe_list_dProd", "SetLike.coe_mem", "SetLike.coe_mono", "SetLike.coe_ne_coe", "SetLike.coe_set_eq", "SetLike.coe_sort_coe", "SetLike.coe_ssubset_coe", "SetLike.coe_strictMono", "SetLike.coe_subset_coe", "SetLike.eta", "SetLike.ext'", "SetLike.ext'_iff", "SetLike.ext_iff", "SetLike.forall_smul_mem_iff", "SetLike.homogeneous_mul", "SetLike.homogeneous_one", "SetLike.homogeneous_zero_submodule", "SetLike.intCast_mem_graded", "SetLike.le_def", "SetLike.list_dProd_eq", "SetLike.list_prod_map_mem_graded", "SetLike.list_prod_ofFn_mem_graded", "SetLike.lt_iff_le_and_exists", "SetLike.mem_coe", "SetLike.mk_smul_mk", "SetLike.mk_smul_of_tower_mk", "SetLike.mul_mem_graded", "SetLike.natCast_mem_graded", "SetLike.one_mem_graded", "SetLike.pow_mem_graded", "SetLike.val_smul", "SetLike.val_smul_of_tower", "SetSemiring.add_def", "SetSemiring.down_add", "SetSemiring.down_imageHom", "SetSemiring.down_one", "SetSemiring.down_ssubset_down", "SetSemiring.mul_def", "SetSemiring.up_le_up", "SetSemiring.zero_def", "SetTheory.Game.PGame.equiv_iff_game_eq", "SetTheory.Game.PGame.fuzzy_iff_game_fuzzy", "SetTheory.Game.PGame.le_iff_game_le", "SetTheory.Game.PGame.lf_iff_game_lf", "SetTheory.Game.PGame.lt_iff_game_lt", "SetTheory.Game.add_lf_add_left", "SetTheory.Game.bddAbove_of_small", "SetTheory.Game.bddAbove_range_of_small", "SetTheory.Game.bddBelow_of_small", "SetTheory.Game.bddBelow_range_of_small", "SetTheory.Game.not_le", "SetTheory.Game.not_lf", "SetTheory.PGame.Domineering.card_of_mem_left", "SetTheory.PGame.Domineering.card_of_mem_right", "SetTheory.PGame.Domineering.fst_pred_mem_erase_of_mem_right", "SetTheory.PGame.Domineering.mem_left", "SetTheory.PGame.Domineering.moveLeft_card", "SetTheory.PGame.Domineering.moveLeft_smaller", "SetTheory.PGame.Domineering.moveRight_card", "SetTheory.PGame.Domineering.snd_pred_mem_erase_of_mem_left", "SetTheory.PGame.Equiv.mul_congr", "SetTheory.PGame.Equiv.mul_congr_left", "SetTheory.PGame.Equiv.not_fuzzy'", "SetTheory.PGame.Equiv.symm", "SetTheory.PGame.Equiv.trans", "SetTheory.PGame.Fuzzy.not_equiv", "SetTheory.PGame.Fuzzy.swap", "SetTheory.PGame.Impartial.equiv_iff_add_equiv_zero", "SetTheory.PGame.Impartial.equiv_iff_add_equiv_zero'", "SetTheory.PGame.Impartial.equiv_or_fuzzy_zero", "SetTheory.PGame.Impartial.equiv_zero_iff_ge", "SetTheory.PGame.Impartial.equiv_zero_iff_le", "SetTheory.PGame.Impartial.exists_left_move_equiv_iff_fuzzy_zero", "SetTheory.PGame.Impartial.exists_right_move_equiv_iff_fuzzy_zero", "SetTheory.PGame.Impartial.forall_leftMoves_fuzzy_iff_equiv_zero", "SetTheory.PGame.Impartial.forall_rightMoves_fuzzy_iff_equiv_zero", "SetTheory.PGame.Impartial.fuzzy_zero_iff_gf", "SetTheory.PGame.Impartial.fuzzy_zero_iff_lf", "SetTheory.PGame.Impartial.impartial_congr", "SetTheory.PGame.Impartial.le_zero_iff", "SetTheory.PGame.Impartial.lf_zero_iff", "SetTheory.PGame.Impartial.mk'_add_self", "SetTheory.PGame.Impartial.mk'_neg_equiv_self", "SetTheory.PGame.Impartial.neg_equiv_self", "SetTheory.PGame.Impartial.nonneg", "SetTheory.PGame.Impartial.nonpos", "SetTheory.PGame.Impartial.not_equiv_zero_iff", "SetTheory.PGame.Impartial.not_fuzzy_zero_iff", "SetTheory.PGame.IsOption.mk_right", "SetTheory.PGame.LF.not_equiv'", "SetTheory.PGame.LF.not_ge", "SetTheory.PGame.Numeric.add", "SetTheory.PGame.Numeric.isOption", "SetTheory.PGame.Numeric.le_moveRight", "SetTheory.PGame.Numeric.left_lt_right", "SetTheory.PGame.Numeric.lt_moveRight", "SetTheory.PGame.Numeric.moveLeft", "SetTheory.PGame.Numeric.moveLeft_le", "SetTheory.PGame.Numeric.moveLeft_lt", "SetTheory.PGame.Numeric.moveRight", "SetTheory.PGame.Numeric.mul", "SetTheory.PGame.Numeric.mul_pos", "SetTheory.PGame.Numeric.neg", "SetTheory.PGame.Numeric.sub", "SetTheory.PGame.P24", "SetTheory.PGame.P3_of_lt_of_lt", "SetTheory.PGame.Relabelling.birthday_congr", "SetTheory.PGame.Relabelling.equiv", "SetTheory.PGame.Relabelling.mk'_leftMovesEquiv", "SetTheory.PGame.Relabelling.mk'_rightMovesEquiv", "SetTheory.PGame.Relabelling.mk_rightMovesEquiv", "SetTheory.PGame.Relabelling.numeric_congr", "SetTheory.PGame.Relabelling.numeric_imp", "SetTheory.PGame.Subsequent.mk_right'", "SetTheory.PGame.Subsequent.moveLeft", "SetTheory.PGame.Subsequent.moveLeft_mk_left", "SetTheory.PGame.Subsequent.moveRight_mk_left", "SetTheory.PGame.Subsequent.moveRight_mk_right", "SetTheory.PGame.Subsequent.trans", "SetTheory.PGame.add_congr", "SetTheory.PGame.add_le_add_right'", "SetTheory.PGame.add_left_neg_equiv", "SetTheory.PGame.add_left_neg_le_zero", "SetTheory.PGame.add_lf_add_left", "SetTheory.PGame.add_lf_add_of_le_of_lf", "SetTheory.PGame.add_lf_add_of_lf_of_le", "SetTheory.PGame.add_lf_add_right", "SetTheory.PGame.add_moveLeft_inl", "SetTheory.PGame.add_moveLeft_inr", "SetTheory.PGame.add_powHalf_succ_self_eq_powHalf", "SetTheory.PGame.add_right_neg_le_zero", "SetTheory.PGame.add_zero_equiv", "SetTheory.PGame.bddAbove_of_small", "SetTheory.PGame.bddAbove_range_of_small", "SetTheory.PGame.bddBelow_of_small", "SetTheory.PGame.bddBelow_range_of_small", "SetTheory.PGame.birthday_add", "SetTheory.PGame.birthday_add_nat", "SetTheory.PGame.birthday_add_one", "SetTheory.PGame.birthday_add_zero", "SetTheory.PGame.birthday_def", "SetTheory.PGame.birthday_eq_zero", "SetTheory.PGame.birthday_half", "SetTheory.PGame.birthday_moveLeft_lt", "SetTheory.PGame.birthday_moveRight_lt", "SetTheory.PGame.birthday_one", "SetTheory.PGame.birthday_star", "SetTheory.PGame.birthday_zero", "SetTheory.PGame.birthday_zero_add", "SetTheory.PGame.default_nim_one_leftMoves_eq", "SetTheory.PGame.default_nim_one_rightMoves_eq", "SetTheory.PGame.equiv_comm", "SetTheory.PGame.equiv_congr_right", "SetTheory.PGame.equiv_nim_grundyValue", "SetTheory.PGame.equiv_of_mk_equiv", "SetTheory.PGame.equiv_refl", "SetTheory.PGame.fuzzy_congr", "SetTheory.PGame.fuzzy_congr_imp", "SetTheory.PGame.fuzzy_congr_left", "SetTheory.PGame.fuzzy_congr_right", "SetTheory.PGame.fuzzy_of_equiv_of_fuzzy", "SetTheory.PGame.fuzzy_of_fuzzy_of_equiv", "SetTheory.PGame.grundyValue_add", "SetTheory.PGame.grundyValue_eq_iff_equiv", "SetTheory.PGame.grundyValue_eq_iff_equiv_nim", "SetTheory.PGame.grundyValue_eq_mex_left", "SetTheory.PGame.grundyValue_eq_mex_right", "SetTheory.PGame.grundyValue_iff_equiv_zero", "SetTheory.PGame.grundyValue_neg", "SetTheory.PGame.grundyValue_nim_add_nim", "SetTheory.PGame.grundyValue_star", "SetTheory.PGame.half_add_half_equiv_one", "SetTheory.PGame.impartialAux_def", "SetTheory.PGame.impartial_def", "SetTheory.PGame.impartial_iff_aux", "SetTheory.PGame.invVal_isEmpty", "SetTheory.PGame.inv_eq_of_equiv_zero", "SetTheory.PGame.inv_eq_of_lf_zero", "SetTheory.PGame.inv_eq_of_pos", "SetTheory.PGame.inv_zero", "SetTheory.PGame.isOption_neg", "SetTheory.PGame.isOption_neg_neg", "SetTheory.PGame.le_birthday", "SetTheory.PGame.le_congr_imp", "SetTheory.PGame.le_congr_left", "SetTheory.PGame.le_def", "SetTheory.PGame.le_iff_forall_lf", "SetTheory.PGame.le_iff_forall_lt", "SetTheory.PGame.le_neg_iff", "SetTheory.PGame.le_of_forall_lt", "SetTheory.PGame.le_or_gf", "SetTheory.PGame.le_zero", "SetTheory.PGame.le_zero_lf", "SetTheory.PGame.le_zero_of_isEmpty_leftMoves", "SetTheory.PGame.leftMoves_add", "SetTheory.PGame.leftMoves_add_cases", "SetTheory.PGame.leftMoves_mk", "SetTheory.PGame.leftMoves_mul", "SetTheory.PGame.leftMoves_mul_cases", "SetTheory.PGame.leftMoves_mul_iff", "SetTheory.PGame.leftMoves_nim", "SetTheory.PGame.leftMoves_ofLists", "SetTheory.PGame.left_distrib_equiv", "SetTheory.PGame.lf_asymm", "SetTheory.PGame.lf_congr", "SetTheory.PGame.lf_congr_imp", "SetTheory.PGame.lf_congr_left", "SetTheory.PGame.lf_congr_right", "SetTheory.PGame.lf_def", "SetTheory.PGame.lf_iff_exists_le", "SetTheory.PGame.lf_iff_lt", "SetTheory.PGame.lf_iff_lt_or_fuzzy", "SetTheory.PGame.lf_irrefl", "SetTheory.PGame.lf_mk", "SetTheory.PGame.lf_mk_of_le", "SetTheory.PGame.lf_neg_iff", "SetTheory.PGame.lf_of_fuzzy", "SetTheory.PGame.lf_of_le_of_lf", "SetTheory.PGame.lf_of_lf_of_equiv", "SetTheory.PGame.lf_of_lf_of_le", "SetTheory.PGame.lf_of_lf_of_lt", "SetTheory.PGame.lf_of_mk_le", "SetTheory.PGame.lf_of_moveRight_le", "SetTheory.PGame.lf_or_equiv_or_gf", "SetTheory.PGame.lf_zero", "SetTheory.PGame.lf_zero_le", "SetTheory.PGame.lt_birthday_iff", "SetTheory.PGame.lt_congr", "SetTheory.PGame.lt_congr_imp", "SetTheory.PGame.lt_congr_left", "SetTheory.PGame.lt_congr_right", "SetTheory.PGame.lt_def", "SetTheory.PGame.lt_iff_exists_le", "SetTheory.PGame.lt_iff_le_and_lf", "SetTheory.PGame.lt_neg_iff", "SetTheory.PGame.lt_of_equiv_of_lt", "SetTheory.PGame.lt_of_exists_le", "SetTheory.PGame.lt_of_le_of_lf", "SetTheory.PGame.lt_of_lf", "SetTheory.PGame.lt_of_lt_of_equiv", "SetTheory.PGame.lt_or_equiv_of_le", "SetTheory.PGame.lt_or_equiv_or_gf", "SetTheory.PGame.lt_or_equiv_or_gt_or_fuzzy", "SetTheory.PGame.lt_or_fuzzy_of_lf", "SetTheory.PGame.mk_add_moveLeft_inr", "SetTheory.PGame.mk_add_moveRight_inr", "SetTheory.PGame.mk_lf", "SetTheory.PGame.mk_lf_mk", "SetTheory.PGame.mk_lf_of_le", "SetTheory.PGame.mk_mul_moveLeft_inl", "SetTheory.PGame.mk_mul_moveLeft_inr", "SetTheory.PGame.mk_mul_moveRight_inr", "SetTheory.PGame.moveLeft_lf", "SetTheory.PGame.moveLeft_lf_of_le", "SetTheory.PGame.moveLeft_neg", "SetTheory.PGame.moveLeft_neg_symm", "SetTheory.PGame.moveLeft_nim", "SetTheory.PGame.moveLeft_nim_hEq", "SetTheory.PGame.moveRight_neg", "SetTheory.PGame.moveRight_neg'", "SetTheory.PGame.moveRight_neg_symm'", "SetTheory.PGame.moveRight_nim_hEq", "SetTheory.PGame.mulOption_neg_neg", "SetTheory.PGame.mulOption_symm", "SetTheory.PGame.mul_assoc_equiv", "SetTheory.PGame.mul_moveLeft_inr", "SetTheory.PGame.mul_moveRight_inl", "SetTheory.PGame.mul_moveRight_inr", "SetTheory.PGame.mul_zero_equiv", "SetTheory.PGame.neg_add_le", "SetTheory.PGame.neg_birthday", "SetTheory.PGame.neg_def", "SetTheory.PGame.neg_equiv_iff", "SetTheory.PGame.neg_equiv_neg_iff", "SetTheory.PGame.neg_equiv_zero_iff", "SetTheory.PGame.neg_fuzzy_iff", "SetTheory.PGame.neg_fuzzy_neg_iff", "SetTheory.PGame.neg_fuzzy_zero_iff", "SetTheory.PGame.neg_le_iff", "SetTheory.PGame.neg_le_lf_neg_iff", "SetTheory.PGame.neg_le_neg_iff", "SetTheory.PGame.neg_le_zero_iff", "SetTheory.PGame.neg_lf_iff", "SetTheory.PGame.neg_lf_neg_iff", "SetTheory.PGame.neg_lf_zero_iff", "SetTheory.PGame.neg_lt_iff", "SetTheory.PGame.neg_lt_neg_iff", "SetTheory.PGame.neg_lt_zero_iff", "SetTheory.PGame.neg_mk_mul_moveLeft_inr", "SetTheory.PGame.neg_mk_mul_moveRight_inr", "SetTheory.PGame.neg_nim", "SetTheory.PGame.neg_ofLists", "SetTheory.PGame.neg_star", "SetTheory.PGame.nim_add_equiv_zero_iff", "SetTheory.PGame.nim_add_fuzzy_zero_iff", "SetTheory.PGame.nim_add_nim_equiv", "SetTheory.PGame.nim_birthday", "SetTheory.PGame.nim_def", "SetTheory.PGame.nim_equiv_iff_eq", "SetTheory.PGame.nim_fuzzy_zero_of_ne_zero", "SetTheory.PGame.nim_grundyValue", "SetTheory.PGame.nim_one_equiv", "SetTheory.PGame.nim_one_moveLeft", "SetTheory.PGame.nim_one_moveRight", "SetTheory.PGame.nim_zero_equiv", "SetTheory.PGame.not_fuzzy", "SetTheory.PGame.not_fuzzy_of_ge", "SetTheory.PGame.not_fuzzy_of_le", "SetTheory.PGame.not_le", "SetTheory.PGame.numeric_def", "SetTheory.PGame.numeric_nat", "SetTheory.PGame.numeric_of_isEmpty", "SetTheory.PGame.numeric_of_isEmpty_leftMoves", "SetTheory.PGame.numeric_of_isEmpty_rightMoves", "SetTheory.PGame.numeric_powHalf", "SetTheory.PGame.numeric_rec", "SetTheory.PGame.numeric_toPGame", "SetTheory.PGame.ofLists_moveLeft", "SetTheory.PGame.ofLists_moveLeft'", "SetTheory.PGame.ofLists_moveRight", "SetTheory.PGame.ofLists_moveRight'", "SetTheory.PGame.one_leftMoves", "SetTheory.PGame.one_moveLeft", "SetTheory.PGame.one_mul_equiv", "SetTheory.PGame.one_rightMoves", "SetTheory.PGame.powHalf_le_one", "SetTheory.PGame.powHalf_leftMoves", "SetTheory.PGame.powHalf_moveLeft", "SetTheory.PGame.powHalf_pos", "SetTheory.PGame.powHalf_succ_le_powHalf", "SetTheory.PGame.powHalf_succ_lt_one", "SetTheory.PGame.powHalf_succ_lt_powHalf", "SetTheory.PGame.powHalf_succ_rightMoves", "SetTheory.PGame.powHalf_zero_rightMoves", "SetTheory.PGame.quot_add", "SetTheory.PGame.quot_eq_of_mk'_quot_eq", "SetTheory.PGame.quot_left_distrib", "SetTheory.PGame.quot_left_distrib_sub", "SetTheory.PGame.quot_mul_assoc", "SetTheory.PGame.quot_mul_neg", "SetTheory.PGame.quot_mul_one", "SetTheory.PGame.quot_neg", "SetTheory.PGame.quot_neg_mul", "SetTheory.PGame.quot_neg_mul_neg", "SetTheory.PGame.quot_one_mul", "SetTheory.PGame.quot_right_distrib", "SetTheory.PGame.quot_right_distrib_sub", "SetTheory.PGame.quot_sub", "SetTheory.PGame.relabel_moveLeft", "SetTheory.PGame.relabel_moveLeft'", "SetTheory.PGame.relabel_moveRight", "SetTheory.PGame.rightMoves_add", "SetTheory.PGame.rightMoves_add_cases", "SetTheory.PGame.rightMoves_mk", "SetTheory.PGame.rightMoves_mul", "SetTheory.PGame.rightMoves_mul_cases", "SetTheory.PGame.rightMoves_mul_iff", "SetTheory.PGame.rightMoves_neg", "SetTheory.PGame.rightMoves_ofLists", "SetTheory.PGame.rightResponse_spec", "SetTheory.PGame.short_birthday", "SetTheory.PGame.star_moveLeft", "SetTheory.PGame.star_moveRight", "SetTheory.PGame.star_rightMoves", "SetTheory.PGame.sub_congr_right", "SetTheory.PGame.sub_self_equiv", "SetTheory.PGame.sub_zero", "SetTheory.PGame.subsingleton_short_example", "SetTheory.PGame.toLeftMovesNim_one_symm", "SetTheory.PGame.toLeftMovesNim_symm_lt", "SetTheory.PGame.toPGame_birthday", "SetTheory.PGame.toRightMovesNim_one_symm", "SetTheory.PGame.toRightMovesNim_symm_lt", "SetTheory.PGame.turnBound_ne_zero_of_left_move", "SetTheory.PGame.turnBound_ne_zero_of_right_move", "SetTheory.PGame.turnBound_of_right", "SetTheory.PGame.wf_isOption", "SetTheory.PGame.zero_add_equiv", "SetTheory.PGame.zero_equiv_neg_iff", "SetTheory.PGame.zero_fuzzy_neg_iff", "SetTheory.PGame.zero_le", "SetTheory.PGame.zero_le_add_left_neg", "SetTheory.PGame.zero_le_lf", "SetTheory.PGame.zero_le_neg_iff", "SetTheory.PGame.zero_le_of_isEmpty_rightMoves", "SetTheory.PGame.zero_le_powHalf", "SetTheory.PGame.zero_lf", "SetTheory.PGame.zero_lf_inv'", "SetTheory.PGame.zero_lf_le", "SetTheory.PGame.zero_lf_neg_iff", "SetTheory.PGame.zero_lf_one", "SetTheory.PGame.zero_rightMoves", "Setoid.IsPartition.pairwiseDisjoint", "Setoid.IsPartition.sUnion_eq_univ", "Setoid.card_classes_ker_le", "Setoid.classes_inj", "Setoid.classes_ker_subset_fiber_set", "Setoid.comap_eq", "Setoid.comap_rel", "Setoid.comm'", "Setoid.empty_not_mem_classes", "Setoid.eq_eqv_class_of_mem", "Setoid.eq_iff_classes_eq", "Setoid.eq_iff_rel_eq", "Setoid.eq_of_mem_classes", "Setoid.eq_top_iff", "Setoid.eqvGen_eq", "Setoid.eqvGen_idem", "Setoid.eqvGen_le", "Setoid.eqvGen_mono", "Setoid.eqvGen_of_setoid", "Setoid.eqv_class_mem'", "Setoid.eqv_classes_disjoint", "Setoid.eqv_classes_of_disjoint_union", "Setoid.ext", "Setoid.ext'", "Setoid.ext_iff", "Setoid.finite_classes_ker", "Setoid.inf_def", "Setoid.inf_iff_and", "Setoid.injective_iff_ker_bot", "Setoid.isPartition_classes", "Setoid.ker_apply_mk_out", "Setoid.ker_apply_mk_out'", "Setoid.ker_eq_lift_of_injective", "Setoid.ker_lift_injective", "Setoid.le_def", "Setoid.lift_unique", "Setoid.mapOfSurjective_eq_map", "Setoid.mem_classes", "Setoid.mkClasses_classes", "Setoid.nonempty_of_mem_partition", "Setoid.quotientEquivClasses_mk_eq", "Setoid.quotient_mk_sInf_eq", "Setoid.refl", "Setoid.refl'", "Setoid.sInf_def", "Setoid.sSup_def", "Setoid.sSup_eq_eqvGen", "Setoid.sUnion_classes", "Setoid.sup_eq_eqvGen", "Setoid.symm", "Setoid.symm'", "Setoid.top_def", "Setoid.trans", "SheafOfModules.GeneratingSections.opEpi_comp", "SheafOfModules.add_val", "SheafOfModules.comp_val", "SheafOfModules.freeHomEquiv_freeMap", "SheafOfModules.freeHomEquiv_symm_comp", "SheafOfModules.hom_ext", "SheafOfModules.sectionsMap_id", "SheafOfModules.unitHomEquiv_apply_coe", "SheafOfModules.unitHomEquiv_comp_apply", "ShelfHom.comp_apply", "ShelfHom.toFun_eq_coe", "Shrink.ext", "ShrinkingLemma.PartialRefinement.apply_eq_of_chain", "ShrinkingLemma.PartialRefinement.exists_gt", "ShrinkingLemma.PartialRefinement.find_apply_of_mem", "ShrinkingLemma.PartialRefinement.find_mem", "ShrinkingLemma.PartialRefinement.mem_find_carrier_iff", "ShrinkingLemma.PartialRefinement.subset", "Sigma.FaithfulSMul'", "Sigma.Ico_mk_mk", "Sigma.Lex.lt_def", "Sigma.Lex.mono", "Sigma.Lex.mono_right", "Sigma.card_Ico", "Sigma.card_Ioc", "Sigma.curry_inv", "Sigma.curry_mul", "Sigma.curry_mulSingle", "Sigma.curry_one", "Sigma.curry_uncurry", "Sigma.curry_update", "Sigma.eq", "Sigma.eta", "Sigma.exists", "Sigma.ext_iff", "Sigma.forall", "Sigma.forall'", "Sigma.fst_injective", "Sigma.fst_injective_iff", "Sigma.fst_surjective", "Sigma.isConnected_iff", "Sigma.isPreconnected_iff", "Sigma.le_def", "Sigma.lex_iff", "Sigma.lex_swap", "Sigma.lt_def", "Sigma.map_mk", "Sigma.mk.inj_iff", "Sigma.mk_lt_mk_iff", "Sigma.nhds_eq", "Sigma.nhds_mk", "Sigma.smul_def", "Sigma.smul_mk", "Sigma.subtype_ext", "Sigma.subtype_ext_iff", "Sigma.uncurry_curry", "Sigma.uncurry_inv", "Sigma.uncurry_mul", "Sigma.uncurry_mulSingle_mulSingle", "Sigma.uncurry_one", "SigmaCompactSpace.exists_compact_covering", "SigmaCompactSpace_iff_exists_compact_covering", "SignType.coe_mul", "SignType.coe_neg_one", "SignType.coe_one", "SignType.coe_zero", "SignType.intCast_cast", "SignType.le_antisymm", "SignType.le_one", "SignType.lt_one_iff", "SignType.map_cast", "SignType.map_cast'", "SignType.mul_assoc", "SignType.mul_comm", "SignType.neg_eq_neg_one", "SignType.neg_iff", "SignType.neg_one_lt_one", "SignType.nonneg_iff", "SignType.nonneg_iff_ne_neg_one", "SignType.nonpos_iff_ne_one", "SignType.not_lt_neg_one", "SignType.not_one_lt", "SignType.pos_eq_one", "SignType.pos_iff", "SignType.range_eq", "SignType.zero_eq_zero", "SimpleContinuedFraction.of_isContinuedFraction", "SimpleGraph.Adj.card_commonNeighbors_lt_degree", "SimpleGraph.Adj.reachable", "SimpleGraph.Adj.symm", "SimpleGraph.CliqueFree.anti", "SimpleGraph.CliqueFree.cliqueFreeOn", "SimpleGraph.CliqueFree.comap", "SimpleGraph.CliqueFree.mono", "SimpleGraph.CliqueFree.not_farFromTriangleFree", "SimpleGraph.CliqueFree.replaceVertex", "SimpleGraph.CliqueFree.sup_edge", "SimpleGraph.CliqueFreeOn.anti", "SimpleGraph.CliqueFreeOn.mono", "SimpleGraph.CliqueFreeOn.of_succ", "SimpleGraph.CliqueFreeOn.subset", "SimpleGraph.Colorable.cliqueFree", "SimpleGraph.Colorable.mono", "SimpleGraph.Colorable.mono_left", "SimpleGraph.Colorable.of_embedding", "SimpleGraph.Coloring.card_colorClasses_le", "SimpleGraph.Coloring.colorClasses_finite", "SimpleGraph.Coloring.colorClasses_isPartition", "SimpleGraph.Coloring.color_classes_independent", "SimpleGraph.Coloring.colorable", "SimpleGraph.Coloring.even_length_iff_congr", "SimpleGraph.Coloring.not_adj_of_mem_colorClass", "SimpleGraph.Coloring.valid", "SimpleGraph.CompleteBipartiteGraph.chromaticNumber", "SimpleGraph.ComponentCompl.coe_inj", "SimpleGraph.ComponentCompl.disjoint_right", "SimpleGraph.ComponentCompl.exists_adj_boundary_pair", "SimpleGraph.ComponentCompl.hom_eq_iff_le", "SimpleGraph.ComponentCompl.hom_eq_iff_not_disjoint", "SimpleGraph.ComponentCompl.hom_infinite", "SimpleGraph.ComponentCompl.hom_mk", "SimpleGraph.ComponentCompl.hom_refl", "SimpleGraph.ComponentCompl.hom_trans", "SimpleGraph.ComponentCompl.ind", "SimpleGraph.ComponentCompl.infinite_iff_in_all_ranges", "SimpleGraph.ComponentCompl.mem_of_adj", "SimpleGraph.ComponentCompl.not_mem_of_mem", "SimpleGraph.ComponentCompl.pairwise_disjoint", "SimpleGraph.ComponentCompl.subset_hom", "SimpleGraph.ComponentCompl.supp_injective", "SimpleGraph.Connected.boxProd", "SimpleGraph.Connected.dist_eq_zero_iff", "SimpleGraph.Connected.exists_path_of_dist", "SimpleGraph.Connected.exists_walk_of_dist", "SimpleGraph.Connected.map", "SimpleGraph.Connected.ofBoxProdLeft", "SimpleGraph.Connected.ofBoxProdRight", "SimpleGraph.Connected.pos_dist_of_ne", "SimpleGraph.Connected.set_univ_walk_nonempty", "SimpleGraph.ConnectedComponent.connectedComponentMk_eq_of_adj", "SimpleGraph.ConnectedComponent.connectedComponentMk_mem", "SimpleGraph.ConnectedComponent.eq", "SimpleGraph.ConnectedComponent.exists", "SimpleGraph.ConnectedComponent.forall", "SimpleGraph.ConnectedComponent.ind", "SimpleGraph.ConnectedComponent.iso_image_comp_eq_map_iff_eq_comp", "SimpleGraph.ConnectedComponent.iso_inv_image_comp_eq_iff_eq_map", "SimpleGraph.ConnectedComponent.lift_mk", "SimpleGraph.ConnectedComponent.map_comp", "SimpleGraph.ConnectedComponent.map_id", "SimpleGraph.ConnectedComponent.map_mk", "SimpleGraph.ConnectedComponent.sound", "SimpleGraph.ConnectedComponent.supp_injective", "SimpleGraph.Dart.edge_comp_symm", "SimpleGraph.Dart.edge_mem", "SimpleGraph.Dart.edge_symm", "SimpleGraph.Dart.ext", "SimpleGraph.Dart.symm_involutive", "SimpleGraph.Dart.symm_mk", "SimpleGraph.Dart.symm_ne", "SimpleGraph.Dart.symm_symm", "SimpleGraph.DeleteFar.mono", "SimpleGraph.EdgeDisjointTriangles.card_edgeFinset_le", "SimpleGraph.EdgeDisjointTriangles.farFromTriangleFree", "SimpleGraph.EdgeDisjointTriangles.map", "SimpleGraph.EdgeDisjointTriangles.mono", "SimpleGraph.Embedding.apply_mem_neighborSet_iff", "SimpleGraph.Embedding.comap_apply", "SimpleGraph.Embedding.map_adj_iff", "SimpleGraph.Embedding.map_apply", "SimpleGraph.FarFromTriangleFree.cliqueFinset_nonempty", "SimpleGraph.FarFromTriangleFree.cliqueFinset_nonempty'", "SimpleGraph.FarFromTriangleFree.le_card_cliqueFinset", "SimpleGraph.FarFromTriangleFree.lt_half", "SimpleGraph.FarFromTriangleFree.lt_one", "SimpleGraph.FarFromTriangleFree.mono", "SimpleGraph.FarFromTriangleFree.nonpos", "SimpleGraph.FarFromTriangleFree.not_cliqueFree", "SimpleGraph.Hom.apply_mem_neighborSet", "SimpleGraph.Hom.coe_id", "SimpleGraph.Hom.coe_ofLE", "SimpleGraph.Hom.injective_of_top_hom", "SimpleGraph.Hom.mapEdgeSet.injective", "SimpleGraph.Hom.map_adj", "SimpleGraph.Hom.map_mem_edgeSet", "SimpleGraph.IsAcyclic.path_unique", "SimpleGraph.IsClique.card_le_chromaticNumber", "SimpleGraph.IsClique.card_le_of_colorable", "SimpleGraph.IsClique.card_le_of_coloring", "SimpleGraph.IsClique.finsetMap", "SimpleGraph.IsClique.insert", "SimpleGraph.IsClique.map", "SimpleGraph.IsClique.mono", "SimpleGraph.IsClique.of_subsingleton", "SimpleGraph.IsHamiltonian.connected", "SimpleGraph.IsHamiltonian.mono", "SimpleGraph.IsNClique.insert", "SimpleGraph.IsNClique.map", "SimpleGraph.IsNClique.mono", "SimpleGraph.IsNClique.not_cliqueFree", "SimpleGraph.IsRegularOfDegree.degree_eq", "SimpleGraph.IsSRGWith.card_commonNeighbors_eq_of_adj_compl", "SimpleGraph.IsSRGWith.card_commonNeighbors_eq_of_not_adj_compl", "SimpleGraph.IsSRGWith.card_neighborFinset_union_eq", "SimpleGraph.IsSRGWith.card_neighborFinset_union_of_adj", "SimpleGraph.IsSRGWith.compl_is_regular", "SimpleGraph.IsSRGWith.matrix_eq", "SimpleGraph.IsSRGWith.param_eq", "SimpleGraph.IsSRGWith.top", "SimpleGraph.IsTree.card_edgeFinset", "SimpleGraph.IsTree.existsUnique_path", "SimpleGraph.IsTuranMaximal.card_parts", "SimpleGraph.IsTuranMaximal.card_parts_le", "SimpleGraph.IsTuranMaximal.degree_eq_card_sub_part_card", "SimpleGraph.IsTuranMaximal.degree_eq_of_not_adj", "SimpleGraph.IsTuranMaximal.equivalence_not_adj", "SimpleGraph.IsTuranMaximal.isEquipartition", "SimpleGraph.IsTuranMaximal.iso", "SimpleGraph.IsTuranMaximal.le_iff_eq", "SimpleGraph.IsTuranMaximal.nonempty_iso_turanGraph", "SimpleGraph.IsTuranMaximal.not_adj_iff_part_eq", "SimpleGraph.IsTuranMaximal.not_adj_trans", "SimpleGraph.IsUniform.mono", "SimpleGraph.IsUniform.pos", "SimpleGraph.Iso.card_edgeFinset_eq", "SimpleGraph.Iso.card_eq", "SimpleGraph.Iso.coe_comp", "SimpleGraph.Iso.comap_apply", "SimpleGraph.Iso.comap_symm_apply", "SimpleGraph.Iso.connectedComponentEquiv_symm", "SimpleGraph.Iso.connected_iff", "SimpleGraph.Iso.map_apply", "SimpleGraph.Iso.map_mem_edgeSet_iff", "SimpleGraph.Iso.map_symm_apply", "SimpleGraph.Iso.preconnected_iff", "SimpleGraph.Iso.reachable_iff", "SimpleGraph.Iso.symm_apply_reachable", "SimpleGraph.Iso.toEmbedding_completeGraph", "SimpleGraph.LocallyLinear.card_edgeFinset", "SimpleGraph.LocallyLinear.edgeDisjointTriangles", "SimpleGraph.Partition.mem_partOfVertex", "SimpleGraph.Partition.partOfVertex_mem", "SimpleGraph.Partition.partOfVertex_ne_of_adj", "SimpleGraph.Path.cons_isCycle", "SimpleGraph.Path.isPath", "SimpleGraph.Path.map_injective", "SimpleGraph.Path.mk'_mem_edges_singleton", "SimpleGraph.Path.nodup_support", "SimpleGraph.Preconnected.boxProd", "SimpleGraph.Preconnected.map", "SimpleGraph.Preconnected.mono", "SimpleGraph.Preconnected.ofBoxProdLeft", "SimpleGraph.Preconnected.ofBoxProdRight", "SimpleGraph.Preconnected.set_univ_walk_nonempty", "SimpleGraph.Reachable.dist_eq_zero_iff", "SimpleGraph.Reachable.elim", "SimpleGraph.Reachable.exists_walk_of_dist", "SimpleGraph.Reachable.map", "SimpleGraph.Reachable.pos_dist_of_ne", "SimpleGraph.Reachable.rfl", "SimpleGraph.Reachable.symm", "SimpleGraph.Reachable.trans", "SimpleGraph.Subgraph.Adj.adj_sub", "SimpleGraph.Subgraph.Adj.coe", "SimpleGraph.Subgraph.Adj.fst_mem", "SimpleGraph.Subgraph.Adj.of_spanningCoe", "SimpleGraph.Subgraph.Adj.symm", "SimpleGraph.Subgraph.Connected.adj_union", "SimpleGraph.Subgraph.Connected.induce_verts", "SimpleGraph.Subgraph.Connected.mono", "SimpleGraph.Subgraph.Connected.mono'", "SimpleGraph.Subgraph.Connected.sup", "SimpleGraph.Subgraph.IsMatching.even_card", "SimpleGraph.Subgraph.IsMatching.toEdge_eq_of_adj", "SimpleGraph.Subgraph.IsMatching.toEdge_eq_toEdge_of_adj", "SimpleGraph.Subgraph.IsSpanning.card_verts", "SimpleGraph.Subgraph.adj_symm", "SimpleGraph.Subgraph.coeSubgraph_adj", "SimpleGraph.Subgraph.coeSubgraph_le", "SimpleGraph.Subgraph.coeSubgraph_restrict_eq", "SimpleGraph.Subgraph.coe_degree", "SimpleGraph.Subgraph.coe_deleteEdges_le", "SimpleGraph.Subgraph.coe_hom", "SimpleGraph.Subgraph.comap_monotone", "SimpleGraph.Subgraph.connected_iff", "SimpleGraph.Subgraph.connected_iff_forall_exists_walk_subgraph", "SimpleGraph.Subgraph.degree_eq_one_iff_unique_adj", "SimpleGraph.Subgraph.degree_le", "SimpleGraph.Subgraph.degree_le'", "SimpleGraph.Subgraph.degree_spanningCoe", "SimpleGraph.Subgraph.deleteEdges_adj", "SimpleGraph.Subgraph.deleteEdges_coe_eq", "SimpleGraph.Subgraph.deleteEdges_deleteEdges", "SimpleGraph.Subgraph.deleteEdges_inter_edgeSet_left_eq", "SimpleGraph.Subgraph.deleteEdges_inter_edgeSet_right_eq", "SimpleGraph.Subgraph.deleteEdges_le", "SimpleGraph.Subgraph.deleteEdges_le_of_le", "SimpleGraph.Subgraph.deleteEdges_spanningCoe_eq", "SimpleGraph.Subgraph.deleteVerts_adj", "SimpleGraph.Subgraph.deleteVerts_deleteVerts", "SimpleGraph.Subgraph.deleteVerts_empty", "SimpleGraph.Subgraph.deleteVerts_inter_verts_left_eq", "SimpleGraph.Subgraph.deleteVerts_inter_verts_set_right_eq", "SimpleGraph.Subgraph.deleteVerts_le", "SimpleGraph.Subgraph.deleteVerts_mono", "SimpleGraph.Subgraph.deleteVerts_verts", "SimpleGraph.Subgraph.edgeSet_bot", "SimpleGraph.Subgraph.edgeSet_iInf", "SimpleGraph.Subgraph.edgeSet_iSup", "SimpleGraph.Subgraph.edgeSet_inf", "SimpleGraph.Subgraph.edgeSet_sSup", "SimpleGraph.Subgraph.edgeSet_sup", "SimpleGraph.Subgraph.edgeSet_top", "SimpleGraph.Subgraph.finset_card_neighborSet_eq_degree", "SimpleGraph.Subgraph.hom.injective", "SimpleGraph.Subgraph.iInf_adj", "SimpleGraph.Subgraph.iInf_adj_of_nonempty", "SimpleGraph.Subgraph.iSup_adj", "SimpleGraph.Subgraph.incidenceSet_subset", "SimpleGraph.Subgraph.inclusion.injective", "SimpleGraph.Subgraph.induce_mono", "SimpleGraph.Subgraph.induce_mono_left", "SimpleGraph.Subgraph.induce_mono_right", "SimpleGraph.Subgraph.induce_self_verts", "SimpleGraph.Subgraph.isPerfectMatching_iff_forall_degree", "SimpleGraph.Subgraph.isSpanning_iff", "SimpleGraph.Subgraph.le_induce_top_verts", "SimpleGraph.Subgraph.le_induce_union", "SimpleGraph.Subgraph.le_induce_union_left", "SimpleGraph.Subgraph.le_induce_union_right", "SimpleGraph.Subgraph.loopless", "SimpleGraph.Subgraph.map_le_iff_le_comap", "SimpleGraph.Subgraph.map_monotone", "SimpleGraph.Subgraph.map_sup", "SimpleGraph.Subgraph.mem_support", "SimpleGraph.Subgraph.mem_verts_if_mem_edge", "SimpleGraph.Subgraph.neighborSet_bot", "SimpleGraph.Subgraph.neighborSet_iInf", "SimpleGraph.Subgraph.neighborSet_iSup", "SimpleGraph.Subgraph.neighborSet_inf", "SimpleGraph.Subgraph.neighborSet_sInf", "SimpleGraph.Subgraph.neighborSet_subset", "SimpleGraph.Subgraph.neighborSet_subset_of_subgraph", "SimpleGraph.Subgraph.neighborSet_subset_verts", "SimpleGraph.Subgraph.neighborSet_top", "SimpleGraph.Subgraph.not_bot_adj", "SimpleGraph.Subgraph.preconnected_iff", "SimpleGraph.Subgraph.preconnected_iff_forall_exists_walk_subgraph", "SimpleGraph.Subgraph.restrict_coeSubgraph", "SimpleGraph.Subgraph.sInf_adj", "SimpleGraph.Subgraph.sSup_adj", "SimpleGraph.Subgraph.singletonSubgraph_connected", "SimpleGraph.Subgraph.singletonSubgraph_eq_induce", "SimpleGraph.Subgraph.spanningCoe_bot", "SimpleGraph.Subgraph.spanningCoe_deleteEdges_le", "SimpleGraph.Subgraph.spanningCoe_le_of_le", "SimpleGraph.Subgraph.spanningCoe_top", "SimpleGraph.Subgraph.spanningHom.injective", "SimpleGraph.Subgraph.subgraphOfAdj_connected", "SimpleGraph.Subgraph.subgraphOfAdj_eq_induce", "SimpleGraph.Subgraph.sup_adj", "SimpleGraph.Subgraph.support_mono", "SimpleGraph.Subgraph.top_induce_pair_connected_of_adj", "SimpleGraph.Subgraph.verts_bot", "SimpleGraph.Subgraph.verts_iInf", "SimpleGraph.Subgraph.verts_iSup", "SimpleGraph.Subgraph.verts_inf", "SimpleGraph.Subgraph.verts_sInf", "SimpleGraph.Subgraph.verts_sSup", "SimpleGraph.Subgraph.verts_spanningCoe_injective", "SimpleGraph.Subgraph.verts_sup", "SimpleGraph.Subgraph.verts_top", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2080\u2081_iff", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2080\u2082_iff", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2080\u2082_iff'", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2081\u2080_iff", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2081\u2080_iff'", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2081\u2082_iff", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2081\u2082_iff'", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2082\u2080_iff", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2082\u2080_iff'", "SimpleGraph.TripartiteFromTriangles.Graph.in\u2082\u2081_iff'", "SimpleGraph.TripartiteFromTriangles.Graph.not_in\u2082\u2082", "SimpleGraph.TripartiteFromTriangles.card_triangles", "SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_image", "SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_map", "SimpleGraph.TripartiteFromTriangles.cliqueSet_eq_image", "SimpleGraph.TripartiteFromTriangles.exists_mem_toTriangle", "SimpleGraph.TripartiteFromTriangles.farFromTriangleFree", "SimpleGraph.TripartiteFromTriangles.graph_triple", "SimpleGraph.TripartiteFromTriangles.is3Clique_iff", "SimpleGraph.TripartiteFromTriangles.locallyLinear", "SimpleGraph.TripartiteFromTriangles.map_toTriangle_disjoint", "SimpleGraph.TripartiteFromTriangles.rel_irrefl", "SimpleGraph.TripartiteFromTriangles.toTriangle_is3Clique", "SimpleGraph.Walk.IsCircuit.isTrail", "SimpleGraph.Walk.IsCircuit.not_nil", "SimpleGraph.Walk.IsCircuit.rotate", "SimpleGraph.Walk.IsCycle.ne_bot", "SimpleGraph.Walk.IsCycle.not_nil", "SimpleGraph.Walk.IsCycle.not_of_nil", "SimpleGraph.Walk.IsCycle.rotate", "SimpleGraph.Walk.IsCycle.three_le_length", "SimpleGraph.Walk.IsCycle.toDeleteEdges", "SimpleGraph.Walk.IsCycle.transfer", "SimpleGraph.Walk.IsEulerian.card_filter_odd_degree", "SimpleGraph.Walk.IsEulerian.card_odd_degree", "SimpleGraph.Walk.IsEulerian.edgesFinset_eq", "SimpleGraph.Walk.IsEulerian.even_degree_iff", "SimpleGraph.Walk.IsEulerian.isTrail", "SimpleGraph.Walk.IsEulerian.mem_edges_iff", "SimpleGraph.Walk.IsHamiltonian.length_eq", "SimpleGraph.Walk.IsHamiltonian.mem_support", "SimpleGraph.Walk.IsHamiltonian.support_toFinset", "SimpleGraph.Walk.IsHamiltonianCycle.count_support_self", "SimpleGraph.Walk.IsHamiltonianCycle.isCycle", "SimpleGraph.Walk.IsHamiltonianCycle.length_eq", "SimpleGraph.Walk.IsHamiltonianCycle.map", "SimpleGraph.Walk.IsHamiltonianCycle.mem_support", "SimpleGraph.Walk.IsHamiltonianCycle.support_count_of_ne", "SimpleGraph.Walk.IsPath.cons", "SimpleGraph.Walk.IsPath.dropUntil", "SimpleGraph.Walk.IsPath.isHamiltonian_of_mem", "SimpleGraph.Walk.IsPath.isTrail", "SimpleGraph.Walk.IsPath.length_lt", "SimpleGraph.Walk.IsPath.of_append_left", "SimpleGraph.Walk.IsPath.of_cons", "SimpleGraph.Walk.IsPath.of_map", "SimpleGraph.Walk.IsPath.reverse", "SimpleGraph.Walk.IsPath.tail", "SimpleGraph.Walk.IsPath.takeUntil", "SimpleGraph.Walk.IsPath.transfer", "SimpleGraph.Walk.IsTrail.count_edges_eq_one", "SimpleGraph.Walk.IsTrail.count_edges_le_one", "SimpleGraph.Walk.IsTrail.dropUntil", "SimpleGraph.Walk.IsTrail.even_countP_edges_iff", "SimpleGraph.Walk.IsTrail.isEulerian_of_forall_mem", "SimpleGraph.Walk.IsTrail.of_append_left", "SimpleGraph.Walk.IsTrail.of_append_right", "SimpleGraph.Walk.IsTrail.of_cons", "SimpleGraph.Walk.IsTrail.reverse", "SimpleGraph.Walk.IsTrail.rotate", "SimpleGraph.Walk.IsTrail.takeUntil", "SimpleGraph.Walk.Nil.eq", "SimpleGraph.Walk.adj_getVert_succ", "SimpleGraph.Walk.adj_of_length_eq_one", "SimpleGraph.Walk.adj_of_mem_edges", "SimpleGraph.Walk.adj_sndOfNotNil", "SimpleGraph.Walk.append_assoc", "SimpleGraph.Walk.append_concat", "SimpleGraph.Walk.append_nil", "SimpleGraph.Walk.append_reverseAux", "SimpleGraph.Walk.bypass_copy", "SimpleGraph.Walk.bypass_eq_self_of_length_le", "SimpleGraph.Walk.bypass_isPath", "SimpleGraph.Walk.chain'_adj_support", "SimpleGraph.Walk.chain'_dartAdj_darts", "SimpleGraph.Walk.chain_adj_support", "SimpleGraph.Walk.chain_dartAdj_darts", "SimpleGraph.Walk.coe_support", "SimpleGraph.Walk.coe_support_append", "SimpleGraph.Walk.coe_support_append'", "SimpleGraph.Walk.concatRec_concat", "SimpleGraph.Walk.concatRec_nil", "SimpleGraph.Walk.concat_append", "SimpleGraph.Walk.concat_cons", "SimpleGraph.Walk.concat_inj", "SimpleGraph.Walk.cons_append", "SimpleGraph.Walk.cons_copy", "SimpleGraph.Walk.cons_isCycle_iff", "SimpleGraph.Walk.cons_isPath_iff", "SimpleGraph.Walk.cons_isTrail_iff", "SimpleGraph.Walk.cons_map_snd_darts", "SimpleGraph.Walk.cons_reverseAux", "SimpleGraph.Walk.cons_support_tail", "SimpleGraph.Walk.copy_cons", "SimpleGraph.Walk.copy_copy", "SimpleGraph.Walk.copy_nil", "SimpleGraph.Walk.copy_rfl_rfl", "SimpleGraph.Walk.count_edges_takeUntil_le_one", "SimpleGraph.Walk.count_support_takeUntil_eq_one", "SimpleGraph.Walk.dart_fst_mem_support_of_mem_darts", "SimpleGraph.Walk.darts_append", "SimpleGraph.Walk.darts_bypass_subset", "SimpleGraph.Walk.darts_concat", "SimpleGraph.Walk.darts_cons", "SimpleGraph.Walk.darts_copy", "SimpleGraph.Walk.darts_dropUntil_subset", "SimpleGraph.Walk.darts_map", "SimpleGraph.Walk.darts_nodup_of_support_nodup", "SimpleGraph.Walk.darts_reverse", "SimpleGraph.Walk.darts_takeUntil_subset", "SimpleGraph.Walk.darts_toPath_subset", "SimpleGraph.Walk.edge_firstDart", "SimpleGraph.Walk.edges_append", "SimpleGraph.Walk.edges_cons", "SimpleGraph.Walk.edges_copy", "SimpleGraph.Walk.edges_dropUntil_subset", "SimpleGraph.Walk.edges_map", "SimpleGraph.Walk.edges_nil", "SimpleGraph.Walk.edges_nodup_of_support_nodup", "SimpleGraph.Walk.edges_reverse", "SimpleGraph.Walk.edges_subset_edgeSet", "SimpleGraph.Walk.edges_toPath_subset", "SimpleGraph.Walk.edges_transfer", "SimpleGraph.Walk.end_mem_support", "SimpleGraph.Walk.end_mem_tail_support_of_ne", "SimpleGraph.Walk.end_mem_verts_toSubgraph", "SimpleGraph.Walk.eq_of_length_eq_zero", "SimpleGraph.Walk.exists_boundary_dart", "SimpleGraph.Walk.exists_cons_eq_concat", "SimpleGraph.Walk.exists_length_eq_zero_iff", "SimpleGraph.Walk.finite_neighborSet_toSubgraph", "SimpleGraph.Walk.fst_mem_support_of_mem_edges", "SimpleGraph.Walk.getVert_append", "SimpleGraph.Walk.getVert_length", "SimpleGraph.Walk.getVert_of_length_le", "SimpleGraph.Walk.getVert_reverse", "SimpleGraph.Walk.getVert_zero", "SimpleGraph.Walk.isCircuit_copy", "SimpleGraph.Walk.isCycle_def", "SimpleGraph.Walk.isHamiltonianCycle_iff_isCycle_and_support_count_tail_eq_one", "SimpleGraph.Walk.isHamiltonianCycle_isCycle_and_isHamiltonian_tail", "SimpleGraph.Walk.isPath_copy", "SimpleGraph.Walk.isPath_def", "SimpleGraph.Walk.isPath_iff_eq_nil", "SimpleGraph.Walk.isPath_of_length_eq_dist", "SimpleGraph.Walk.isPath_reverse_iff", "SimpleGraph.Walk.isTrail_copy", "SimpleGraph.Walk.length_append", "SimpleGraph.Walk.length_bypass_le", "SimpleGraph.Walk.length_concat", "SimpleGraph.Walk.length_cons", "SimpleGraph.Walk.length_copy", "SimpleGraph.Walk.length_dropUntil_le", "SimpleGraph.Walk.length_edges", "SimpleGraph.Walk.length_eq_zero_iff", "SimpleGraph.Walk.length_map", "SimpleGraph.Walk.length_reverse", "SimpleGraph.Walk.length_reverseAux", "SimpleGraph.Walk.length_support", "SimpleGraph.Walk.length_tail_add_one", "SimpleGraph.Walk.length_takeUntil_le", "SimpleGraph.Walk.mapLe_isPath", "SimpleGraph.Walk.mapLe_isTrail", "SimpleGraph.Walk.map_append", "SimpleGraph.Walk.map_cons", "SimpleGraph.Walk.map_fst_darts", "SimpleGraph.Walk.map_fst_darts_append", "SimpleGraph.Walk.map_id", "SimpleGraph.Walk.map_injective_of_injective", "SimpleGraph.Walk.map_isCycle_iff_of_injective", "SimpleGraph.Walk.map_isPath_iff_of_injective", "SimpleGraph.Walk.map_isPath_of_injective", "SimpleGraph.Walk.map_isTrail_iff_of_injective", "SimpleGraph.Walk.map_map", "SimpleGraph.Walk.map_nil", "SimpleGraph.Walk.map_snd_darts", "SimpleGraph.Walk.map_toDeleteEdges_eq", "SimpleGraph.Walk.mem_darts_reverse", "SimpleGraph.Walk.mem_support_append_iff", "SimpleGraph.Walk.mem_support_iff", "SimpleGraph.Walk.mem_support_iff_exists_append", "SimpleGraph.Walk.mem_support_nil_iff", "SimpleGraph.Walk.mem_tail_support_append_iff", "SimpleGraph.Walk.mem_verts_toSubgraph", "SimpleGraph.Walk.nil_iff_eq_nil", "SimpleGraph.Walk.nil_iff_length_eq", "SimpleGraph.Walk.nil_iff_support_eq", "SimpleGraph.Walk.not_nil_cons", "SimpleGraph.Walk.not_nil_of_ne", "SimpleGraph.Walk.ofBoxProdLeft_boxProdLeft", "SimpleGraph.Walk.ofBoxProdLeft_boxProdRight", "SimpleGraph.Walk.reachable", "SimpleGraph.Walk.reverseAux_append", "SimpleGraph.Walk.reverseAux_eq_reverse_append", "SimpleGraph.Walk.reverse_append", "SimpleGraph.Walk.reverse_concat", "SimpleGraph.Walk.reverse_copy", "SimpleGraph.Walk.reverse_isTrail_iff", "SimpleGraph.Walk.reverse_map", "SimpleGraph.Walk.reverse_nil", "SimpleGraph.Walk.reverse_reverse", "SimpleGraph.Walk.reverse_transfer", "SimpleGraph.Walk.rotate_darts", "SimpleGraph.Walk.rotate_edges", "SimpleGraph.Walk.snd_mem_support_of_mem_edges", "SimpleGraph.Walk.start_mem_support", "SimpleGraph.Walk.start_mem_verts_toSubgraph", "SimpleGraph.Walk.subset_support_append_left", "SimpleGraph.Walk.subset_support_append_right", "SimpleGraph.Walk.support_append", "SimpleGraph.Walk.support_bypass_subset", "SimpleGraph.Walk.support_concat", "SimpleGraph.Walk.support_cons", "SimpleGraph.Walk.support_copy", "SimpleGraph.Walk.support_dropUntil_subset", "SimpleGraph.Walk.support_eq_cons", "SimpleGraph.Walk.support_map", "SimpleGraph.Walk.support_ne_nil", "SimpleGraph.Walk.support_nil", "SimpleGraph.Walk.support_nonempty", "SimpleGraph.Walk.support_reverse", "SimpleGraph.Walk.support_rotate", "SimpleGraph.Walk.support_tail", "SimpleGraph.Walk.support_takeUntil_subset", "SimpleGraph.Walk.support_toPath_subset", "SimpleGraph.Walk.support_transfer", "SimpleGraph.Walk.tail_support_append", "SimpleGraph.Walk.takeUntil_copy", "SimpleGraph.Walk.take_spec", "SimpleGraph.Walk.toDeleteEdges_copy", "SimpleGraph.Walk.toDeleteEdges_nil", "SimpleGraph.Walk.toSubgraph_append", "SimpleGraph.Walk.toSubgraph_connected", "SimpleGraph.Walk.toSubgraph_cons_nil_eq_subgraphOfAdj", "SimpleGraph.Walk.toSubgraph_le_induce_support", "SimpleGraph.Walk.toSubgraph_map", "SimpleGraph.Walk.toSubgraph_reverse", "SimpleGraph.Walk.toSubgraph_rotate", "SimpleGraph.Walk.transfer_append", "SimpleGraph.Walk.transfer_self", "SimpleGraph.Walk.transfer_transfer", "SimpleGraph.adjMatrix_dotProduct", "SimpleGraph.adjMatrix_mulVec_apply", "SimpleGraph.adjMatrix_mulVec_const_apply", "SimpleGraph.adjMatrix_mulVec_const_apply_of_regular", "SimpleGraph.adjMatrix_mul_apply", "SimpleGraph.adjMatrix_mul_self_apply_self", "SimpleGraph.adjMatrix_pow_apply_eq_card_walk", "SimpleGraph.adjMatrix_vecMul_apply", "SimpleGraph.adj_and_reachable_delete_edges_iff_exists_cycle", "SimpleGraph.adj_comm", "SimpleGraph.adj_iff_exists_edge", "SimpleGraph.adj_iff_exists_edge_coe", "SimpleGraph.adj_incidenceSet_inter", "SimpleGraph.adj_inj", "SimpleGraph.adj_injective", "SimpleGraph.adj_of_mem_incidenceSet", "SimpleGraph.adj_replaceVertex_iff_of_ne_left", "SimpleGraph.adj_symm", "SimpleGraph.aux", "SimpleGraph.bot_adj", "SimpleGraph.bot_degree", "SimpleGraph.bot_strongly_regular", "SimpleGraph.boxProd_adj", "SimpleGraph.boxProd_adj_left", "SimpleGraph.boxProd_adj_right", "SimpleGraph.boxProd_degree", "SimpleGraph.boxProd_neighborFinset", "SimpleGraph.boxProd_neighborSet", "SimpleGraph.card_ConnectedComponent_eq_rank_ker_lapMatrix", "SimpleGraph.card_badVertices_le", "SimpleGraph.card_bound", "SimpleGraph.card_cliqueFinset_le", "SimpleGraph.card_commonNeighbors_le_degree_right", "SimpleGraph.card_commonNeighbors_top", "SimpleGraph.card_edgeFinset_le_card_choose_two", "SimpleGraph.card_edgeFinset_replaceVertex_of_adj", "SimpleGraph.card_edgeFinset_replaceVertex_of_not_adj", "SimpleGraph.card_edgeFinset_sup_edge", "SimpleGraph.card_edgeFinset_top_eq_card_choose_two", "SimpleGraph.card_incidenceFinset_eq_degree", "SimpleGraph.card_incidenceSet_eq_degree", "SimpleGraph.card_interedges_add_card_interedges_compl", "SimpleGraph.card_interedges_badVertices_le", "SimpleGraph.card_interedges_div_card", "SimpleGraph.card_interedges_le_mul", "SimpleGraph.card_le_chromaticNumber_iff_forall_surjective", "SimpleGraph.card_neighborFinset_eq_degree", "SimpleGraph.card_neighborSet_union_compl_neighborSet", "SimpleGraph.card_set_walk_length_eq", "SimpleGraph.chromaticNumber_bddBelow", "SimpleGraph.chromaticNumber_bot", "SimpleGraph.chromaticNumber_eq_biInf", "SimpleGraph.chromaticNumber_eq_card_iff_forall_surjective", "SimpleGraph.chromaticNumber_eq_iInf", "SimpleGraph.chromaticNumber_eq_iff_forall_surjective", "SimpleGraph.chromaticNumber_eq_zero_of_isempty", "SimpleGraph.chromaticNumber_le_iff_colorable", "SimpleGraph.chromaticNumber_le_of_forall_imp", "SimpleGraph.chromaticNumber_le_one_of_subsingleton", "SimpleGraph.chromaticNumber_mono", "SimpleGraph.chromaticNumber_mono_of_embedding", "SimpleGraph.chromaticNumber_ne_top_iff_exists", "SimpleGraph.chromaticNumber_pathGraph", "SimpleGraph.chromaticNumber_pos", "SimpleGraph.chromaticNumber_top", "SimpleGraph.chromaticNumber_top_eq_top_of_infinite", "SimpleGraph.cliqueFinset_eq_empty_iff", "SimpleGraph.cliqueFinset_map", "SimpleGraph.cliqueFreeOn_empty", "SimpleGraph.cliqueFreeOn_of_card_lt", "SimpleGraph.cliqueFreeOn_singleton", "SimpleGraph.cliqueFreeOn_two", "SimpleGraph.cliqueFreeOn_univ", "SimpleGraph.cliqueFree_bot", "SimpleGraph.cliqueFree_completeMultipartiteGraph", "SimpleGraph.cliqueFree_iff", "SimpleGraph.cliqueFree_map_iff", "SimpleGraph.cliqueFree_of_card_lt", "SimpleGraph.cliqueFree_of_chromaticNumber_lt", "SimpleGraph.cliqueFree_two", "SimpleGraph.cliqueSet_eq_empty_iff", "SimpleGraph.cliqueSet_map", "SimpleGraph.cliqueSet_map_of_equiv", "SimpleGraph.cliqueSet_mono", "SimpleGraph.cliqueSet_mono'", "SimpleGraph.cliqueSet_one", "SimpleGraph.cliqueSet_zero", "SimpleGraph.coe_finsetWalkLength_eq", "SimpleGraph.coe_induceHom", "SimpleGraph.coe_recolorOfCardLE", "SimpleGraph.coe_recolorOfEmbedding", "SimpleGraph.coe_recolorOfEquiv", "SimpleGraph.colorable_chromaticNumber", "SimpleGraph.colorable_chromaticNumber_of_fintype", "SimpleGraph.colorable_iff_exists_bdd_nat_coloring", "SimpleGraph.colorable_of_chromaticNumber_ne_top", "SimpleGraph.colorable_of_fintype", "SimpleGraph.colorable_of_isEmpty", "SimpleGraph.colorable_set_nonempty_of_colorable", "SimpleGraph.comap_adj", "SimpleGraph.comap_comap", "SimpleGraph.comap_id", "SimpleGraph.comap_map_eq", "SimpleGraph.comap_symm", "SimpleGraph.commonNeighbors_subset_neighborSet_left", "SimpleGraph.commonNeighbors_subset_neighborSet_right", "SimpleGraph.commonNeighbors_top_eq", "SimpleGraph.compl_adj", "SimpleGraph.compl_neighborFinset_sdiff_inter_eq", "SimpleGraph.compl_neighborSet_disjoint", "SimpleGraph.complete_graph_degree", "SimpleGraph.componentComplMk_eq_of_adj", "SimpleGraph.connected_iff_exists_forall_reachable", "SimpleGraph.dartOfNeighborSet_injective", "SimpleGraph.dart_card_eq_sum_degrees", "SimpleGraph.dart_card_eq_twice_card_edges", "SimpleGraph.dart_edge_eq_mk'_iff", "SimpleGraph.dart_edge_eq_mk'_iff'", "SimpleGraph.dart_edge_fiber_card", "SimpleGraph.dart_fst_fiber", "SimpleGraph.dart_fst_fiber_card_eq_degree", "SimpleGraph.degMatrix_mulVec_apply", "SimpleGraph.degree_compl", "SimpleGraph.degree_eq_sum_if_adj", "SimpleGraph.degree_le_maxDegree", "SimpleGraph.degree_lt_card_verts", "SimpleGraph.degree_pos_iff_exists_adj", "SimpleGraph.deleteEdges_anti", "SimpleGraph.deleteEdges_deleteEdges", "SimpleGraph.deleteEdges_edgeSet", "SimpleGraph.deleteEdges_eq_inter_edgeSet", "SimpleGraph.deleteEdges_eq_self", "SimpleGraph.deleteEdges_le", "SimpleGraph.deleteEdges_sdiff_eq_of_le", "SimpleGraph.deleteFar_iff", "SimpleGraph.disjoint_edgeSet", "SimpleGraph.disjoint_fromEdgeSet", "SimpleGraph.disjoint_sdiff_neighborFinset_image", "SimpleGraph.dist_comm", "SimpleGraph.dist_comm_aux", "SimpleGraph.dist_eq_one_iff_adj", "SimpleGraph.dist_eq_zero_iff_eq_or_not_reachable", "SimpleGraph.dist_eq_zero_of_not_reachable", "SimpleGraph.dist_le", "SimpleGraph.dist_ne_zero_iff_ne_and_reachable", "SimpleGraph.dist_self", "SimpleGraph.dotProduct_adjMatrix", "SimpleGraph.dotProduct_mulVec_adjMatrix", "SimpleGraph.dotProduct_mulVec_degMatrix", "SimpleGraph.edgeDensity_add_edgeDensity_compl", "SimpleGraph.edgeDensity_badVertices_le", "SimpleGraph.edgeDensity_def", "SimpleGraph.edgeDensity_empty_left", "SimpleGraph.edgeDensity_empty_right", "SimpleGraph.edgeDensity_le_one", "SimpleGraph.edgeDensity_nonneg", "SimpleGraph.edgeDisjointTriangles_iff_mem_sym2_subsingleton", "SimpleGraph.edgeFinset_bot", "SimpleGraph.edgeFinset_card", "SimpleGraph.edgeFinset_inf", "SimpleGraph.edgeFinset_inj", "SimpleGraph.edgeFinset_replaceVertex_of_adj", "SimpleGraph.edgeFinset_replaceVertex_of_not_adj", "SimpleGraph.edgeFinset_sdiff", "SimpleGraph.edgeFinset_subset_edgeFinset", "SimpleGraph.edgeFinset_sup_edge", "SimpleGraph.edgeFinset_top", "SimpleGraph.edgeSet_bot", "SimpleGraph.edgeSet_deleteEdges", "SimpleGraph.edgeSet_eq_empty", "SimpleGraph.edgeSet_fromEdgeSet", "SimpleGraph.edgeSet_inf", "SimpleGraph.edgeSet_inj", "SimpleGraph.edgeSet_injective", "SimpleGraph.edgeSet_nonempty", "SimpleGraph.edgeSet_replaceVertex_of_adj", "SimpleGraph.edgeSet_replaceVertex_of_not_adj", "SimpleGraph.edgeSet_sdiff", "SimpleGraph.edgeSet_sdiff_sdiff_isDiag", "SimpleGraph.edgeSet_singletonSubgraph", "SimpleGraph.edgeSet_subgraphOfAdj", "SimpleGraph.edgeSet_subset_edgeSet", "SimpleGraph.edgeSet_subset_setOf_not_isDiag", "SimpleGraph.edgeSet_sup", "SimpleGraph.edgeSet_top", "SimpleGraph.edge_adj", "SimpleGraph.edge_edgeSet_of_ne", "SimpleGraph.edge_mem_incidenceSet_iff", "SimpleGraph.edge_other_ne", "SimpleGraph.edge_self_eq_bot", "SimpleGraph.end_componentCompl_infinite", "SimpleGraph.end_hom_mk_of_mk", "SimpleGraph.eq_singletonSubgraph_iff_verts_eq", "SimpleGraph.even_card_odd_degree_vertices", "SimpleGraph.exists_girth_eq_length", "SimpleGraph.exists_isTuranMaximal", "SimpleGraph.exists_maximal_degree_vertex", "SimpleGraph.exists_minimal_degree_vertex", "SimpleGraph.exists_ne_odd_degree_of_exists_odd_degree", "SimpleGraph.exists_walk_of_dist_ne_zero", "SimpleGraph.extend_finset_to_connected", "SimpleGraph.farFromTriangleFree_of_disjoint_triangles", "SimpleGraph.farFromTriangleFree_of_disjoint_triangles_aux", "SimpleGraph.fromEdgeSet_disjoint", "SimpleGraph.fromEdgeSet_edgeSet", "SimpleGraph.fromEdgeSet_empty", "SimpleGraph.fromEdgeSet_inter", "SimpleGraph.fromEdgeSet_mono", "SimpleGraph.fromEdgeSet_sdiff", "SimpleGraph.fromEdgeSet_union", "SimpleGraph.fromEdgeSet_univ", "SimpleGraph.fromRel_adj", "SimpleGraph.girth_anti", "SimpleGraph.girth_eq_top", "SimpleGraph.good_vertices_triangle_card", "SimpleGraph.hasseDualIso_apply", "SimpleGraph.hasse_preconnected_of_pred", "SimpleGraph.hasse_preconnected_of_succ", "SimpleGraph.hasse_prod", "SimpleGraph.iInf_adj", "SimpleGraph.iInf_adj_of_nonempty", "SimpleGraph.iSup_adj", "SimpleGraph.incMatrix_apply", "SimpleGraph.incMatrix_apply'", "SimpleGraph.incMatrix_apply_eq_one_iff", "SimpleGraph.incMatrix_apply_eq_zero_iff", "SimpleGraph.incMatrix_apply_mul_incMatrix_apply", "SimpleGraph.incMatrix_apply_mul_incMatrix_apply_of_not_adj", "SimpleGraph.incMatrix_mul_transpose", "SimpleGraph.incMatrix_mul_transpose_apply_of_adj", "SimpleGraph.incMatrix_mul_transpose_diag", "SimpleGraph.incMatrix_of_mem_incidenceSet", "SimpleGraph.incMatrix_of_not_mem_incidenceSet", "SimpleGraph.incMatrix_transpose_mul_diag", "SimpleGraph.incidenceFinset_eq_filter", "SimpleGraph.incidenceSet_inter_incidenceSet_of_adj", "SimpleGraph.incidenceSet_inter_incidenceSet_of_not_adj", "SimpleGraph.incidenceSet_inter_incidenceSet_subset", "SimpleGraph.incidenceSet_subset", "SimpleGraph.incidence_other_neighbor_edge", "SimpleGraph.induceHomOfLE_apply", "SimpleGraph.induceHomOfLE_toHom", "SimpleGraph.induceHom_id", "SimpleGraph.induceHom_injective", "SimpleGraph.induce_connected_adj_union", "SimpleGraph.induce_connected_of_patches", "SimpleGraph.induce_eq_coe_induce_top", "SimpleGraph.induce_pair_connected_of_adj", "SimpleGraph.induce_sUnion_connected_of_pairwise_not_disjoint", "SimpleGraph.induce_singleton_eq_top", "SimpleGraph.induce_union_connected", "SimpleGraph.infinite_iff_in_eventualRange", "SimpleGraph.interedges_biUnion_left", "SimpleGraph.interedges_biUnion_right", "SimpleGraph.interedges_def", "SimpleGraph.interedges_disjoint_left", "SimpleGraph.interedges_disjoint_right", "SimpleGraph.interedges_empty_left", "SimpleGraph.interedges_mono", "SimpleGraph.irrefl", "SimpleGraph.is3Clique_iff", "SimpleGraph.is3Clique_iff_exists_cycle_length_three", "SimpleGraph.is3Clique_triple_iff", "SimpleGraph.isAcyclic_bot", "SimpleGraph.isAcyclic_iff_forall_adj_isBridge", "SimpleGraph.isAcyclic_iff_forall_edge_isBridge", "SimpleGraph.isAcyclic_of_path_unique", "SimpleGraph.isBridge_iff", "SimpleGraph.isBridge_iff_adj_and_forall_cycle_not_mem", "SimpleGraph.isBridge_iff_adj_and_forall_walk_mem_edges", "SimpleGraph.isClique_bot_iff", "SimpleGraph.isClique_iff", "SimpleGraph.isClique_iff_induce_eq", "SimpleGraph.isClique_map_finset_iff", "SimpleGraph.isClique_map_finset_iff_of_nontrivial", "SimpleGraph.isClique_map_iff_of_nontrivial", "SimpleGraph.isClique_map_image_iff", "SimpleGraph.isClique_pair", "SimpleGraph.isClique_singleton", "SimpleGraph.isEmpty_of_chromaticNumber_eq_zero", "SimpleGraph.isEmpty_of_colorable_zero", "SimpleGraph.isNClique_bot_iff", "SimpleGraph.isNClique_empty", "SimpleGraph.isNClique_iff", "SimpleGraph.isNClique_map_iff", "SimpleGraph.isNClique_one", "SimpleGraph.isNClique_singleton", "SimpleGraph.isNClique_zero", "SimpleGraph.isSymm_degMatrix", "SimpleGraph.isSymm_lapMatrix", "SimpleGraph.isTree_iff_existsUnique_path", "SimpleGraph.isTuranMaximal_of_iso", "SimpleGraph.isUniform_comm", "SimpleGraph.isUniform_one", "SimpleGraph.isUniform_singleton", "SimpleGraph.lapMatrix_mulVec_apply", "SimpleGraph.lapMatrix_toLin'_apply_eq_zero_iff_forall_adj", "SimpleGraph.lapMatrix_toLin'_apply_eq_zero_iff_forall_reachable", "SimpleGraph.lapMatrix_toLinearMap\u2082'", "SimpleGraph.lapMatrix_toLinearMap\u2082'_apply'_eq_zero_iff_forall_adj", "SimpleGraph.lapMatrix_toLinearMap\u2082'_apply'_eq_zero_iff_forall_reachable", "SimpleGraph.le_comap_of_subsingleton", "SimpleGraph.le_girth", "SimpleGraph.le_minDegree_of_forall_le_degree", "SimpleGraph.leftInverse_comap_map", "SimpleGraph.left_nonuniformWitnesses_card", "SimpleGraph.left_nonuniformWitnesses_subset", "SimpleGraph.linearIndependent_lapMatrix_ker_basis_aux", "SimpleGraph.locallyLinear_bot", "SimpleGraph.locallyLinear_comap", "SimpleGraph.map_adj_apply", "SimpleGraph.map_comap_le", "SimpleGraph.map_id", "SimpleGraph.map_le_iff_le_comap", "SimpleGraph.map_map", "SimpleGraph.map_monotone", "SimpleGraph.map_singletonSubgraph", "SimpleGraph.map_subgraphOfAdj", "SimpleGraph.maxDegree_le_of_forall_degree_le", "SimpleGraph.maxDegree_lt_card_verts", "SimpleGraph.mem_cliqueFinset_iff", "SimpleGraph.mem_cliqueSet_iff", "SimpleGraph.mem_commonNeighbors", "SimpleGraph.mem_edgeFinset", "SimpleGraph.mem_edgeSet", "SimpleGraph.mem_incidenceFinset", "SimpleGraph.mem_incidenceSet", "SimpleGraph.mem_incidence_iff_neighbor", "SimpleGraph.mem_interedges_iff", "SimpleGraph.mem_ker_toLin'_lapMatrix_of_connectedComponent", "SimpleGraph.mem_neighborFinset", "SimpleGraph.mem_neighborSet", "SimpleGraph.minDegree_le_degree", "SimpleGraph.mk'_mem_incidenceSet_iff", "SimpleGraph.mk_mem_interedges_iff", "SimpleGraph.mul_adjMatrix_apply", "SimpleGraph.ne_of_adj", "SimpleGraph.ne_of_adj_of_not_adj", "SimpleGraph.neighborFinset_compl", "SimpleGraph.neighborFinset_def", "SimpleGraph.neighborFinset_disjoint_singleton", "SimpleGraph.neighborFinset_eq_filter", "SimpleGraph.neighborSet_compl", "SimpleGraph.neighborSet_fst_subgraphOfAdj", "SimpleGraph.neighborSet_snd_subgraphOfAdj", "SimpleGraph.neighborSet_subgraphOfAdj", "SimpleGraph.neighborSet_subgraphOfAdj_subset", "SimpleGraph.neighborSet_union_compl_neighborSet_eq", "SimpleGraph.nonempty_ends_of_infinite", "SimpleGraph.nonempty_hom_of_forall_finite_subgraph_hom", "SimpleGraph.nonempty_of_pos_dist", "SimpleGraph.nonuniformWitness_spec", "SimpleGraph.nonuniformWitnesses_spec", "SimpleGraph.not_adj_replaceVertex_same", "SimpleGraph.not_cliqueFree_card_of_top_embedding", "SimpleGraph.not_cliqueFree_iff", "SimpleGraph.not_cliqueFree_of_isTuranMaximal", "SimpleGraph.not_cliqueFree_of_top_embedding", "SimpleGraph.not_isUniform_iff", "SimpleGraph.not_mem_commonNeighbors_left", "SimpleGraph.not_mem_commonNeighbors_right", "SimpleGraph.not_mem_neighborSet_self", "SimpleGraph.odd_card_odd_degree_vertices_ne", "SimpleGraph.one_add_adjMatrix_add_compl_adjMatrix_eq_allOnes", "SimpleGraph.partitionable_iff_colorable", "SimpleGraph.pathGraph_adj", "SimpleGraph.pathGraph_connected", "SimpleGraph.pathGraph_preconnected", "SimpleGraph.pathGraph_two_eq_top", "SimpleGraph.posSemidef_lapMatrix", "SimpleGraph.reachable_deleteEdges_iff_exists_cycle.aux", "SimpleGraph.reachable_delete_edges_iff_exists_walk", "SimpleGraph.reachable_iff_exists_finsetWalkLength_nonempty", "SimpleGraph.reachable_iff_nonempty_univ", "SimpleGraph.reachable_iff_reflTransGen", "SimpleGraph.reachable_is_equivalence", "SimpleGraph.regularityReduced_anti", "SimpleGraph.regularityReduced_edges_card_aux", "SimpleGraph.regularityReduced_mono", "SimpleGraph.replaceVertex_self", "SimpleGraph.right_nonuniformWitnesses_card", "SimpleGraph.right_nonuniformWitnesses_subset", "SimpleGraph.sInf_adj", "SimpleGraph.sInf_adj_of_nonempty", "SimpleGraph.sSup_adj", "SimpleGraph.sdiff_adj", "SimpleGraph.sdiff_compl_neighborFinset_inter_eq", "SimpleGraph.set_walk_length_succ_eq", "SimpleGraph.set_walk_length_zero_eq_of_ne", "SimpleGraph.set_walk_self_length_zero_eq", "SimpleGraph.simpleGraphOfStructure", "SimpleGraph.singletonFinsubgraph_le_adj_left", "SimpleGraph.singletonSubgraph_le_iff", "SimpleGraph.singletonSubgraph_snd_le_subgraphOfAdj", "SimpleGraph.subgraphOfAdj_le_of_adj", "SimpleGraph.subgraphOfAdj_symm", "SimpleGraph.sum_degrees_eq_twice_card_edges", "SimpleGraph.sum_incMatrix_apply", "SimpleGraph.sum_incMatrix_apply_of_mem_edgeSet", "SimpleGraph.sum_incMatrix_apply_of_not_mem_edgeSet", "SimpleGraph.sup_adj", "SimpleGraph.sup_edge_of_adj", "SimpleGraph.sup_edge_self", "SimpleGraph.three_le_girth", "SimpleGraph.toGraph_adjMatrix_eq", "SimpleGraph.top_adj", "SimpleGraph.top_connected", "SimpleGraph.top_le_span_range_lapMatrix_ker_basis_aux", "SimpleGraph.top_preconnected", "SimpleGraph.trace_adjMatrix", "SimpleGraph.transpose_adjMatrix", "SimpleGraph.triangleRemovalBound_mul_cube_lt", "SimpleGraph.triangleRemovalBound_nonpos", "SimpleGraph.triangleRemovalBound_pos", "SimpleGraph.triangle_counting", "SimpleGraph.triangle_counting'", "SimpleGraph.triangle_removal", "SimpleGraph.triangle_removal_aux", "SimpleGraph.triangle_split_helper", "SimpleGraph.triple_eq_triple_of_mem", "SimpleGraph.turanGraph_cliqueFree", "SimpleGraph.turanGraph_eq_top", "SimpleGraph.turanGraph_zero", "SimpleGraph.two_mul_card_edgeFinset", "SimpleGraph.unreduced_edges_subset", "SimplexCategory.Hom.ext", "SimplexCategory.Hom.ext'", "SimplexCategory.Hom.mk_toOrderHom_apply", "SimplexCategory.const_comp", "SimplexCategory.const_eq_id", "SimplexCategory.continuous_toTopMap", "SimplexCategory.epi_iff_surjective", "SimplexCategory.eq_comp_\u03b4_of_not_surjective", "SimplexCategory.eq_comp_\u03b4_of_not_surjective'", "SimplexCategory.eq_id_of_epi", "SimplexCategory.eq_id_of_isIso", "SimplexCategory.eq_id_of_mono", "SimplexCategory.eq_\u03b4_of_mono", "SimplexCategory.eq_\u03c3_comp_of_not_injective", "SimplexCategory.eq_\u03c3_comp_of_not_injective'", "SimplexCategory.eq_\u03c3_of_epi", "SimplexCategory.ext", "SimplexCategory.factorThruImage_eq", "SimplexCategory.factor_\u03b4_spec", "SimplexCategory.hom_zero_zero", "SimplexCategory.image_eq", "SimplexCategory.image_\u03b9_eq", "SimplexCategory.isIso_of_bijective", "SimplexCategory.isSkeletonOf", "SimplexCategory.iso_eq_iso_refl", "SimplexCategory.le_of_mono", "SimplexCategory.len_le_of_epi", "SimplexCategory.len_le_of_mono", "SimplexCategory.len_lt_of_mono", "SimplexCategory.len_mk", "SimplexCategory.mk_len", "SimplexCategory.mono_iff_injective", "SimplexCategory.skeletal", "SimplexCategory.toTopObj.ext", "SimplexCategory.\u03b4_comp_\u03b4", "SimplexCategory.\u03b4_comp_\u03b4'", "SimplexCategory.\u03b4_comp_\u03b4''", "SimplexCategory.\u03b4_comp_\u03b4_self", "SimplexCategory.\u03b4_comp_\u03b4_self'", "SimplexCategory.\u03b4_comp_\u03c3_of_gt", "SimplexCategory.\u03b4_comp_\u03c3_of_gt'", "SimplexCategory.\u03b4_comp_\u03c3_of_le", "SimplexCategory.\u03b4_comp_\u03c3_self", "SimplexCategory.\u03b4_comp_\u03c3_self'", "SimplexCategory.\u03b4_comp_\u03c3_succ", "SimplexCategory.\u03b4_comp_\u03c3_succ'", "SimplexCategory.\u03c3_comp_\u03c3", "SimplicialObject.Split.cofan_inj_naturality_symm", "SimplicialObject.Split.congr_f", "SimplicialObject.Split.id_F", "SimplicialObject.Split.id_f", "SimplicialObject.Splitting.IndexSet.eqId_iff_eq", "SimplicialObject.Splitting.IndexSet.eqId_iff_len_eq", "SimplicialObject.Splitting.IndexSet.eqId_iff_len_le", "SimplicialObject.Splitting.IndexSet.eqId_iff_mono", "SimplicialObject.Splitting.IndexSet.ext", "SimplicialObject.Splitting.IndexSet.fac_pull", "SimplicialObject.Splitting.PInfty_comp_\u03c0Summand_id", "SimplicialObject.Splitting.cofan_inj_comp_PInfty_eq_zero", "SimplicialObject.Splitting.cofan_inj_comp_app", "SimplicialObject.Splitting.cofan_inj_epi_naturality", "SimplicialObject.Splitting.cofan_inj_eq", "SimplicialObject.Splitting.cofan_inj_id", "SimplicialObject.Splitting.cofan_inj_\u03c0Summand_eq_zero", "SimplicialObject.Splitting.comp_PInfty_eq_zero_iff", "SimplicialObject.Splitting.decomposition_id", "SimplicialObject.Splitting.hom_ext", "SimplicialObject.Splitting.hom_ext'", "SimplicialObject.Splitting.\u03b9Summand_comp_d_comp_\u03c0Summand_eq_zero", "SimplicialObject.Splitting.\u03b9_desc", "SimplicialObject.Splitting.\u03c0Summand_comp_cofan_inj_id_comp_PInfty_eq_PInfty", "SimplicialObject.Splitting.\u03c3_comp_\u03c0Summand_id_eq_zero", "SimplyConnectedSpace.paths_homotopic", "SkyscraperPresheafFunctor.map'_comp", "SkyscraperPresheafFunctor.map'_id", "SlashAction.neg_slash", "SlashAction.smul_slash_of_tower", "SlashInvariantForm.SlashInvariantFormClass.coe_coe", "SlashInvariantForm.T_zpow_width_invariant", "SlashInvariantForm.add_apply", "SlashInvariantForm.coe_add", "SlashInvariantForm.coe_mk", "SlashInvariantForm.coe_mul", "SlashInvariantForm.coe_natCast", "SlashInvariantForm.coe_smul", "SlashInvariantForm.coe_sub", "SlashInvariantForm.coe_zero", "SlashInvariantForm.one_coe_eq_one", "SlashInvariantForm.slash_action_eqn", "SlashInvariantForm.toFun_eq_coe", "SlashInvariantForm.vAdd_width_periodic", "SlimCheck.Gen.chooseNatLt_aux", "SlimCheck.InjectiveFunction.List.applyId_cons", "SlimCheck.InjectiveFunction.List.applyId_eq_self", "SlimCheck.InjectiveFunction.List.applyId_zip_eq", "SlimCheck.InjectiveFunction.applyId_injective", "SlimCheck.InjectiveFunction.applyId_mem_iff", "SlimCheck.InjectiveFunction.injective", "Smooth.comp", "Smooth.comp_smoothOn", "Smooth.coordChange", "Smooth.coordChangeL", "Smooth.div", "Smooth.div_const", "Smooth.div\u2080", "Smooth.extend_one", "Smooth.fst", "Smooth.inv\u2080", "Smooth.mdifferentiable", "Smooth.mdifferentiableWithinAt", "Smooth.mul", "Smooth.prod_map", "Smooth.prod_mk", "Smooth.smoothOn", "SmoothAt.comp", "SmoothAt.comp_smoothWithinAt", "SmoothAt.contMDiffAt", "SmoothAt.coordChange", "SmoothAt.coordChangeL", "SmoothAt.div", "SmoothAt.div_const", "SmoothAt.div\u2080", "SmoothAt.inv", "SmoothAt.inv\u2080", "SmoothAt.prod_mk_space", "SmoothAt.smul", "SmoothAt.snd", "SmoothBumpCovering.apply_ind", "SmoothBumpCovering.comp_embeddingPiTangent_mfderiv", "SmoothBumpCovering.embeddingPiTangent_injOn", "SmoothBumpCovering.embeddingPiTangent_ker_mfderiv", "SmoothBumpCovering.eventuallyEq_one", "SmoothBumpCovering.exists_immersion_euclidean", "SmoothBumpCovering.exists_isSubordinate", "SmoothBumpCovering.isSubordinate_toBumpCovering", "SmoothBumpCovering.locallyFinite", "SmoothBumpCovering.mem_chartAt_ind_source", "SmoothBumpCovering.mem_chartAt_source_of_eq_one", "SmoothBumpCovering.mem_extChartAt_source_of_eq_one", "SmoothBumpCovering.mem_support_ind", "SmoothBumpCovering.sum_toSmoothPartitionOfUnity_eq", "SmoothBumpCovering.toSmoothPartitionOfUnity_apply", "SmoothBumpFunction.continuous", "SmoothBumpFunction.eqOn_source", "SmoothBumpFunction.eq_one", "SmoothBumpFunction.eventuallyEq_one", "SmoothBumpFunction.eventuallyEq_one_of_dist_lt", "SmoothBumpFunction.exists_r_pos_lt_subset_ball", "SmoothBumpFunction.hasCompactSupport", "SmoothBumpFunction.image_eq_inter_preimage_of_subset_support", "SmoothBumpFunction.isClosed_image_of_isClosed", "SmoothBumpFunction.isClosed_symm_image_closedBall", "SmoothBumpFunction.isOpen_support", "SmoothBumpFunction.le_one", "SmoothBumpFunction.mem_Icc", "SmoothBumpFunction.nhdsWithin_range_basis", "SmoothBumpFunction.nhds_basis_tsupport", "SmoothBumpFunction.nonempty_support", "SmoothBumpFunction.nonneg", "SmoothBumpFunction.rOut_pos", "SmoothBumpFunction.smooth", "SmoothBumpFunction.smoothAt", "SmoothBumpFunction.smooth_smul", "SmoothBumpFunction.support_eq_inter_preimage", "SmoothBumpFunction.support_eq_symm_image", "SmoothBumpFunction.support_mem_nhds", "SmoothBumpFunction.tsupport_subset_chartAt_source", "SmoothBumpFunction.tsupport_subset_symm_image_closedBall", "SmoothFiberwiseLinear.locality_aux\u2081", "SmoothFiberwiseLinear.locality_aux\u2082", "SmoothManifoldWithCorners.chart_mem_maximalAtlas", "SmoothManifoldWithCorners.compatible_of_mem_maximalAtlas", "SmoothManifoldWithCorners.mk'", "SmoothMap.coe_mul", "SmoothMap.coe_one", "SmoothMap.coe_smul", "SmoothMap.smul_comp", "SmoothMap.smul_comp'", "SmoothOn.comp", "SmoothOn.comp'", "SmoothOn.comp_smooth", "SmoothOn.coordChange", "SmoothOn.coordChangeL", "SmoothOn.div", "SmoothOn.div\u2080", "SmoothOn.inv", "SmoothOn.inv\u2080", "SmoothOn.smul", "SmoothOn_inv\u2080", "SmoothPartitionOfUnity.IsSubordinate.smooth_finsum_smul", "SmoothPartitionOfUnity.coe_finsupport", "SmoothPartitionOfUnity.contDiffAt_finsum", "SmoothPartitionOfUnity.contMDiffAt_finsum", "SmoothPartitionOfUnity.contMDiff_finsum_smul", "SmoothPartitionOfUnity.contMDiff_smul", "SmoothPartitionOfUnity.eventually_fintsupport_subset", "SmoothPartitionOfUnity.exists_isSubordinate", "SmoothPartitionOfUnity.exists_isSubordinate_chartAt_source", "SmoothPartitionOfUnity.exists_isSubordinate_chartAt_source_of_isClosed", "SmoothPartitionOfUnity.exists_pos_of_mem", "SmoothPartitionOfUnity.finite_tsupport", "SmoothPartitionOfUnity.finsum_smul_mem_convex", "SmoothPartitionOfUnity.le_one", "SmoothPartitionOfUnity.mem_finsupport", "SmoothPartitionOfUnity.mem_fintsupport_iff", "SmoothPartitionOfUnity.nonneg", "SmoothPartitionOfUnity.smooth_finsum_smul", "SmoothPartitionOfUnity.smooth_smul", "SmoothPartitionOfUnity.sum_eq_one", "SmoothPartitionOfUnity.sum_finsupport", "SmoothPartitionOfUnity.sum_finsupport'", "SmoothPartitionOfUnity.sum_finsupport_smul_eq_finsum", "SmoothWithinAt.comp", "SmoothWithinAt.comp'", "SmoothWithinAt.coordChange", "SmoothWithinAt.coordChangeL", "SmoothWithinAt.div", "SmoothWithinAt.div_const", "SmoothWithinAt.div\u2080", "SmoothWithinAt.inv", "SmoothWithinAt.inv\u2080", "SmoothWithinAt.smoothAt", "SmoothWithinAt.smul", "Span.finsupp_total_repr", "Specialization.isUpperSet_ofEquiv_preimage", "Specialization.map_id", "Specialization.ofEquiv_inj", "Specialization.ofEquiv_symm", "Specialization.ofEquiv_toEquiv", "Specialization.toEquiv_symm", "Specializes.const_smul", "Specializes.fst", "Specializes.inv", "Specializes.joinedIn", "Specializes.mem_open", "Specializes.pow", "Specializes.prod", "Specializes.smul", "Specializes.snd", "SpectralMap.cancel_left", "SpectralMap.cancel_right", "SpectralMap.coe_comp", "SpectralMap.coe_comp_continuousMap", "SpectralMap.coe_comp_continuousMap'", "SpectralMap.coe_copy", "SpectralMap.comp_apply", "SpectralMap.comp_assoc", "SpectralMap.comp_id", "SpectralMap.copy_eq", "SpectralMap.ext", "SpectralMap.id_apply", "SpectralMap.toFun_eq_coe", "SpectrumRestricts.algebraMap_image", "SpectrumRestricts.apply_mem", "SpectrumRestricts.cfc", "SpectrumRestricts.cfcHom_eq_restrict", "SpectrumRestricts.cfc_eq_restrict", "SpectrumRestricts.compactSpace", "SpectrumRestricts.eq_zero_of_neg", "SpectrumRestricts.image", "SpectrumRestricts.isSelfAdjoint", "SpectrumRestricts.nnreal_add", "SpectrumRestricts.nnreal_iff", "SpectrumRestricts.nnreal_iff_nnnorm", "SpectrumRestricts.nnreal_iff_spectralRadius_le", "SpectrumRestricts.nnreal_of_nonneg", "SpectrumRestricts.of_spectrum_eq", "SpectrumRestricts.of_subset_range_algebraMap", "SpectrumRestricts.real_iff", "SpectrumRestricts.smul_of_nonneg", "SpectrumRestricts.spectralRadius_eq", "SpectrumRestricts.starAlgHom_id", "SpectrumRestricts.subset_preimage", "Squarefree.dvd_of_squarefree_of_mul_dvd_mul_left", "Squarefree.dvd_of_squarefree_of_mul_dvd_mul_right", "Squarefree.dvd_pow_iff_dvd", "Squarefree.eq_zero_or_one_of_pow_of_not_isUnit", "Squarefree.gcd_left", "Squarefree.gcd_right", "Squarefree.isRadical", "Squarefree.natFactorization_le_one", "Squarefree.ne_zero", "Squarefree.of_mul_left", "Squarefree.of_mul_right", "Squarefree.pow_dvd_of_squarefree_of_pow_succ_dvd_mul_left", "Squarefree.pow_dvd_of_squarefree_of_pow_succ_dvd_mul_right", "StalkSkyscraperPresheafAdjunctionAuxs.fromStalk_to_skyscraper", "StalkSkyscraperPresheafAdjunctionAuxs.to_skyscraper_fromStalk", "StarAlgEquiv.coe_ofBijective", "StarAlgEquiv.coe_refl", "StarAlgEquiv.coe_trans", "StarAlgEquiv.ext", "StarAlgEquiv.ext_iff", "StarAlgEquiv.invFun_eq_symm", "StarAlgEquiv.isometry", "StarAlgEquiv.nnnorm_map", "StarAlgEquiv.norm_map", "StarAlgEquiv.ofBijective_apply", "StarAlgEquiv.ofInjective'_apply", "StarAlgEquiv.ofLeftInverse'_apply", "StarAlgEquiv.ofLeftInverse'_symm_apply", "StarAlgEquiv.refl_symm", "StarAlgEquiv.restrictScalars_injective", "StarAlgEquiv.symm_apply_apply", "StarAlgEquiv.symm_bijective", "StarAlgEquiv.symm_mk", "StarAlgEquiv.symm_to_ringEquiv", "StarAlgEquiv.symm_trans_apply", "StarAlgEquiv.trans_apply", "StarAlgHom.adjoin_le_equalizer", "StarAlgHom.coe_comp", "StarAlgHom.coe_mk", "StarAlgHom.coe_toNonUnitalStarAlgHom", "StarAlgHom.comp_apply", "StarAlgHom.comp_assoc", "StarAlgHom.comp_id", "StarAlgHom.continuous_realContinuousMapOfNNReal", "StarAlgHom.copy_eq", "StarAlgHom.ext", "StarAlgHom.ext_adjoin", "StarAlgHom.ext_continuousMap", "StarAlgHom.ext_of_adjoin_eq_top", "StarAlgHom.ext_topologicalClosure", "StarAlgHom.id_comp", "StarAlgHom.map_adjoin", "StarAlgHom.mem_equalizer", "StarAlgHom.nnnorm_apply_le", "StarAlgHom.range_eq_map_top", "StarAlgHom.realContinuousMapOfNNReal_apply_comp_toReal", "StarAlgHom.realContinuousMapOfNNReal_injective", "StarAlgHom.restrictScalars_injective", "StarAlgHom.snd_prod", "StarAlgHom.subtype_comp_codRestrict", "StarAlgHomClass.ext_topologicalClosure", "StarAlgebra.adjoin_eq_span", "StarAlgebra.adjoin_eq_starClosure_adjoin", "StarAlgebra.adjoin_induction", "StarAlgebra.adjoin_induction'", "StarAlgebra.adjoin_induction\u2082", "StarAlgebra.adjoin_le", "StarAlgebra.adjoin_le_iff", "StarAlgebra.adjoin_nonUnitalStarSubalgebra", "StarAlgebra.adjoin_nonUnitalStarSubalgebra_eq_span", "StarAlgebra.adjoin_toSubalgebra", "StarAlgebra.gc", "StarAlgebra.self_mem_adjoin_singleton", "StarAlgebra.star_subset_adjoin", "StarAlgebra.subset_adjoin", "StarConvex.add", "StarConvex.add_left", "StarConvex.add_right", "StarConvex.add_smul_mem", "StarConvex.add_smul_sub_mem", "StarConvex.affine_preimage", "StarConvex.affinity", "StarConvex.contractibleSpace", "StarConvex.inter", "StarConvex.is_linear_image", "StarConvex.is_linear_preimage", "StarConvex.linear_preimage", "StarConvex.mem", "StarConvex.mem_smul", "StarConvex.neg", "StarConvex.openSegment_subset", "StarConvex.preimage_add_left", "StarConvex.preimage_add_right", "StarConvex.preimage_smul", "StarConvex.prod", "StarConvex.segment_subset", "StarConvex.smul", "StarConvex.sub", "StarConvex.sub'", "StarConvex.union", "StarMemClass.coe_star", "StarMemClass.star_coe_eq", "StarModule.instOrderedSMul", "StarModule.selfAdjointPart_add_skewAdjointPart", "StarModule.smul_lt_smul_of_pos", "StarOrderedRing.mul_le_mul_of_nonneg_left", "StarOrderedRing.nonneg_iff", "StarOrderedRing.of_le_iff", "StarOrderedRing.of_nonneg_iff", "StarOrderedRing.of_nonneg_iff'", "StarRingEquiv.apply_symm_apply", "StarRingEquiv.coe_mk", "StarRingEquiv.coe_refl", "StarRingEquiv.ext", "StarRingEquiv.ext_iff", "StarRingEquiv.mk_coe", "StarRingEquiv.ofBijective_apply", "StarRingEquiv.refl_symm", "StarRingEquiv.toRingEquiv_eq_coe", "StarRingEquiv.trans_apply", "StarSubalgebra.algebraMap_mem", "StarSubalgebra.bot_toSubalgebra", "StarSubalgebra.centralizer_le", "StarSubalgebra.closedEmbedding_inclusion", "StarSubalgebra.coe_centralizer", "StarSubalgebra.coe_comap", "StarSubalgebra.coe_iInf", "StarSubalgebra.coe_isUnit", "StarSubalgebra.coe_map", "StarSubalgebra.coe_subtype", "StarSubalgebra.coe_toSubalgebra", "StarSubalgebra.comap_comap", "StarSubalgebra.comap_injective", "StarSubalgebra.comap_mono", "StarSubalgebra.copy_eq", "StarSubalgebra.embedding_inclusion", "StarSubalgebra.eq_top_iff", "StarSubalgebra.ext", "StarSubalgebra.gc_map_comap", "StarSubalgebra.iInf_toSubalgebra", "StarSubalgebra.inclusion_injective", "StarSubalgebra.inf_toSubalgebra", "StarSubalgebra.isClosed_topologicalClosure", "StarSubalgebra.isUnit_coe_inv_mem", "StarSubalgebra.le_topologicalClosure", "StarSubalgebra.map_id", "StarSubalgebra.map_le_iff_le_comap", "StarSubalgebra.map_map", "StarSubalgebra.map_mono", "StarSubalgebra.map_topologicalClosure_le", "StarSubalgebra.mem_bot", "StarSubalgebra.mem_centralizer_iff", "StarSubalgebra.mem_iInf", "StarSubalgebra.mem_map", "StarSubalgebra.mem_sInf", "StarSubalgebra.mem_spectrum_iff", "StarSubalgebra.mem_sup_right", "StarSubalgebra.mem_toSubalgebra", "StarSubalgebra.mem_top", "StarSubalgebra.one_mem_toNonUnitalStarSubalgebra", "StarSubalgebra.range_le", "StarSubalgebra.range_subset", "StarSubalgebra.smul_mem", "StarSubalgebra.subtype_comp_inclusion", "StarSubalgebra.toSubalgebra_eq_top", "StarSubalgebra.toSubalgebra_inj", "StarSubalgebra.toSubalgebra_injective", "StarSubalgebra.toSubalgebra_le_iff", "StarSubalgebra.toSubalgebra_subtype", "StarSubalgebra.top_toSubalgebra", "StarSubalgebra.topologicalClosure_map", "StarSubalgebra.topologicalClosure_map_le", "StarSubalgebra.topologicalClosure_minimal", "StarSubalgebra.topologicalClosure_mono", "StateT.run_failure", "Std.Range.forIn'_eq_forIn_range'", "Std.Range.forIn_eq_forIn_range'", "Std.Range.mem_range'_elems", "Std.Range.numElems_le_iff", "Std.Range.numElems_step_1", "Std.Range.numElems_stop_le_start", "StieltjesFunction.add_apply", "StieltjesFunction.ae_hasDerivAt", "StieltjesFunction.borel_le_measurable", "StieltjesFunction.const_apply", "StieltjesFunction.countable_leftLim_ne", "StieltjesFunction.eq_of_measure_of_eq", "StieltjesFunction.eq_of_measure_of_tendsto_atBot", "StieltjesFunction.ext", "StieltjesFunction.iInf_Ioi_eq", "StieltjesFunction.iInf_rat_gt_eq", "StieltjesFunction.id_leftLim", "StieltjesFunction.isFiniteMeasure", "StieltjesFunction.isProbabilityMeasure", "StieltjesFunction.length_Ioc", "StieltjesFunction.length_subadditive_Icc_Ioo", "StieltjesFunction.measurableSet_Ioi", "StieltjesFunction.measure_Icc", "StieltjesFunction.measure_Ici", "StieltjesFunction.measure_Ico", "StieltjesFunction.measure_Iic", "StieltjesFunction.measure_Ioo", "StieltjesFunction.measure_add", "StieltjesFunction.measure_singleton", "StieltjesFunction.measure_smul", "StieltjesFunction.measure_univ", "StieltjesFunction.mono", "StieltjesFunction.outer_Ioc", "StieltjesFunction.outer_le_length", "StieltjesFunction.outer_trim", "StieltjesFunction.rightLim_eq", "StieltjesFunction.right_continuous", "Stirling.factorial_isEquivalent_stirling", "Stirling.log_stirlingSeq'_antitone", "Stirling.log_stirlingSeq_bounded_aux", "Stirling.log_stirlingSeq_bounded_by_constant", "Stirling.log_stirlingSeq_diff_hasSum", "Stirling.log_stirlingSeq_diff_le_geo_sum", "Stirling.log_stirlingSeq_formula", "Stirling.log_stirlingSeq_sub_log_stirlingSeq_succ", "Stirling.second_wallis_limit", "Stirling.stirlingSeq'_bounded_by_pos_constant", "Stirling.stirlingSeq'_pos", "Stirling.stirlingSeq_has_pos_limit_a", "Stirling.stirlingSeq_one", "Stirling.stirlingSeq_pow_four_div_stirlingSeq_pow_two_eq", "Stirling.stirlingSeq_zero", "Stirling.tendsto_self_div_two_mul_self_add_one", "Stirling.tendsto_stirlingSeq_sqrt_pi", "StoneCech.projective", "Stonean.HasPullbackOpenEmbedding", "Stonean.Sigma.openEmbedding_\u03b9", "Stonean.effectiveEpiFamily_tfae", "Stonean.effectiveEpi_tfae", "Stonean.epi_iff_surjective", "Stonean.finiteCoproduct.hom_ext", "Stonean.finiteCoproduct.openEmbedding_\u03b9", "Stonean.mono_iff_injective", "Stonean.pullback.condition", "Stonean.pullback.hom_ext", "Stonean.pullback.lift_snd", "Stream'.Seq.append_assoc", "Stream'.Seq.append_nil", "Stream'.Seq.coinduction2", "Stream'.Seq.cons_append", "Stream'.Seq.cons_injective2", "Stream'.Seq.cons_left_injective", "Stream'.Seq.corec_eq", "Stream'.Seq.destruct_cons", "Stream'.Seq.destruct_eq_cons", "Stream'.Seq.destruct_eq_nil", "Stream'.Seq.destruct_nil", "Stream'.Seq.dropn_add", "Stream'.Seq.dropn_tail", "Stream'.Seq.enum_cons", "Stream'.Seq.enum_nil", "Stream'.Seq.eq_of_bisim", "Stream'.Seq.exists_of_mem_map", "Stream'.Seq.ge_stable", "Stream'.Seq.get?_cons_succ", "Stream'.Seq.get?_cons_zero", "Stream'.Seq.get?_enum", "Stream'.Seq.get?_mk", "Stream'.Seq.get?_tail", "Stream'.Seq.get?_zip", "Stream'.Seq.get?_zipWith", "Stream'.Seq.head_cons", "Stream'.Seq.head_dropn", "Stream'.Seq.head_eq_destruct", "Stream'.Seq.head_nil", "Stream'.Seq.join_append", "Stream'.Seq.join_cons", "Stream'.Seq.join_cons_cons", "Stream'.Seq.join_cons_nil", "Stream'.Seq.le_stable", "Stream'.Seq.map_append", "Stream'.Seq.map_comp", "Stream'.Seq.map_cons", "Stream'.Seq.map_get?", "Stream'.Seq.map_id", "Stream'.Seq.map_nil", "Stream'.Seq.map_tail", "Stream'.Seq.mem_append_left", "Stream'.Seq.mem_cons", "Stream'.Seq.mem_cons_of_mem", "Stream'.Seq.mem_map", "Stream'.Seq.mem_rec_on", "Stream'.Seq.nats_get?", "Stream'.Seq.nil_append", "Stream'.Seq.not_terminates_iff", "Stream'.Seq.ofList_get", "Stream'.Seq.ofStream_append", "Stream'.Seq.ofStream_cons", "Stream'.Seq.of_mem_append", "Stream'.Seq.tail_cons", "Stream'.Seq.tail_nil", "Stream'.Seq.terminated_stable", "Stream'.Seq.val_cons", "Stream'.Seq1.bind_assoc", "Stream'.Seq1.bind_ret", "Stream'.Seq1.join_cons", "Stream'.Seq1.join_join", "Stream'.Seq1.join_map_ret", "Stream'.Seq1.join_nil", "Stream'.Seq1.map_id", "Stream'.Seq1.map_join", "Stream'.Seq1.map_join'", "Stream'.Seq1.map_pair", "Stream'.Seq1.ret_bind", "Stream'.WSeq.BisimO.imp", "Stream'.WSeq.Equiv.equivalence", "Stream'.WSeq.Equiv.ext", "Stream'.WSeq.Equiv.refl", "Stream'.WSeq.Equiv.symm", "Stream'.WSeq.Equiv.trans", "Stream'.WSeq.LiftRel.refl", "Stream'.WSeq.LiftRel.swap", "Stream'.WSeq.LiftRel.swap_lem", "Stream'.WSeq.LiftRel.symm", "Stream'.WSeq.LiftRel.trans", "Stream'.WSeq.LiftRelO.imp_right", "Stream'.WSeq.LiftRelO.swap", "Stream'.WSeq.append_assoc", "Stream'.WSeq.append_nil", "Stream'.WSeq.bind_assoc", "Stream'.WSeq.bind_congr", "Stream'.WSeq.bind_ret", "Stream'.WSeq.cons_congr", "Stream'.WSeq.destruct_append", "Stream'.WSeq.destruct_congr", "Stream'.WSeq.destruct_congr_iff", "Stream'.WSeq.destruct_cons", "Stream'.WSeq.destruct_dropn", "Stream'.WSeq.destruct_flatten", "Stream'.WSeq.destruct_join", "Stream'.WSeq.destruct_map", "Stream'.WSeq.destruct_nil", "Stream'.WSeq.destruct_ofSeq", "Stream'.WSeq.destruct_some_of_destruct_tail_some", "Stream'.WSeq.destruct_tail", "Stream'.WSeq.destruct_terminates_of_get?_terminates", "Stream'.WSeq.destruct_think", "Stream'.WSeq.drop.aux_none", "Stream'.WSeq.dropn_add", "Stream'.WSeq.dropn_congr", "Stream'.WSeq.dropn_cons", "Stream'.WSeq.dropn_nil", "Stream'.WSeq.dropn_ofSeq", "Stream'.WSeq.dropn_tail", "Stream'.WSeq.dropn_think", "Stream'.WSeq.eq_or_mem_iff_mem", "Stream'.WSeq.exists_dropn_of_mem", "Stream'.WSeq.exists_get?_of_mem", "Stream'.WSeq.exists_of_liftRel_left", "Stream'.WSeq.exists_of_liftRel_right", "Stream'.WSeq.exists_of_mem_join", "Stream'.WSeq.exists_of_mem_map", "Stream'.WSeq.flatten_equiv", "Stream'.WSeq.flatten_pure", "Stream'.WSeq.get?_add", "Stream'.WSeq.get?_congr", "Stream'.WSeq.get?_mem", "Stream'.WSeq.get?_ofSeq", "Stream'.WSeq.get?_tail", "Stream'.WSeq.get?_terminates_le", "Stream'.WSeq.head_congr", "Stream'.WSeq.head_cons", "Stream'.WSeq.head_nil", "Stream'.WSeq.head_ofSeq", "Stream'.WSeq.head_some_of_get?_some", "Stream'.WSeq.head_some_of_head_tail_some", "Stream'.WSeq.head_terminates_iff", "Stream'.WSeq.head_terminates_of_head_tail_terminates", "Stream'.WSeq.head_think", "Stream'.WSeq.join_append", "Stream'.WSeq.join_congr", "Stream'.WSeq.join_cons", "Stream'.WSeq.join_join", "Stream'.WSeq.join_map_ret", "Stream'.WSeq.join_nil", "Stream'.WSeq.join_ret", "Stream'.WSeq.join_think", "Stream'.WSeq.length_eq_map", "Stream'.WSeq.liftRel_append", "Stream'.WSeq.liftRel_bind", "Stream'.WSeq.liftRel_cons", "Stream'.WSeq.liftRel_destruct", "Stream'.WSeq.liftRel_destruct_iff", "Stream'.WSeq.liftRel_dropn_destruct", "Stream'.WSeq.liftRel_flatten", "Stream'.WSeq.liftRel_join", "Stream'.WSeq.liftRel_join.lem", "Stream'.WSeq.liftRel_map", "Stream'.WSeq.liftRel_nil", "Stream'.WSeq.liftRel_think_left", "Stream'.WSeq.map_comp", "Stream'.WSeq.map_cons", "Stream'.WSeq.map_id", "Stream'.WSeq.map_join", "Stream'.WSeq.map_nil", "Stream'.WSeq.map_ret", "Stream'.WSeq.map_think", "Stream'.WSeq.mem_congr", "Stream'.WSeq.mem_cons", "Stream'.WSeq.mem_cons_iff", "Stream'.WSeq.mem_cons_of_mem", "Stream'.WSeq.mem_of_mem_dropn", "Stream'.WSeq.mem_of_mem_tail", "Stream'.WSeq.mem_rec_on", "Stream'.WSeq.mem_think", "Stream'.WSeq.not_mem_nil", "Stream'.WSeq.ofList_nil", "Stream'.WSeq.of_mem_append", "Stream'.WSeq.productive_congr", "Stream'.WSeq.ret_bind", "Stream'.WSeq.seq_destruct_cons", "Stream'.WSeq.seq_destruct_nil", "Stream'.WSeq.seq_destruct_think", "Stream'.WSeq.tail_congr", "Stream'.WSeq.tail_cons", "Stream'.WSeq.tail_ofSeq", "Stream'.WSeq.tail_think", "Stream'.WSeq.think_append", "Stream'.WSeq.think_congr", "Stream'.WSeq.think_equiv", "Stream'.WSeq.toList'_cons", "Stream'.WSeq.toList'_map", "Stream'.WSeq.toList'_nil", "Stream'.WSeq.toList_cons", "Stream'.WSeq.toList_nil", "Stream'.WSeq.toList_ofList", "Stream'.WSeq.toSeq_ofSeq", "Stream'.any_def", "Stream'.append_append_stream", "Stream'.append_stream_head_tail", "Stream'.append_take_drop", "Stream'.composition", "Stream'.concat_take_get", "Stream'.cons_append_stream", "Stream'.cons_get_inits_core", "Stream'.cons_injective2", "Stream'.cons_injective_right", "Stream'.const_eq", "Stream'.corec'_eq", "Stream'.corec_def", "Stream'.corec_eq", "Stream'.corec_id_f_eq_iterate", "Stream'.corec_id_id_eq_const", "Stream'.cycle_eq", "Stream'.cycle_g_cons", "Stream'.cycle_singleton", "Stream'.dropLast_take", "Stream'.drop_append_stream", "Stream'.drop_drop", "Stream'.drop_succ", "Stream'.drop_zero", "Stream'.enum_eq_zip", "Stream'.eq_or_mem_of_mem_cons", "Stream'.eta", "Stream'.even_cons_cons", "Stream'.even_interleave", "Stream'.even_tail", "Stream'.exists_of_mem_map", "Stream'.get?_take", "Stream'.get_const", "Stream'.get_enum", "Stream'.get_even", "Stream'.get_inits", "Stream'.get_interleave_left", "Stream'.get_interleave_right", "Stream'.get_map", "Stream'.get_nats", "Stream'.get_odd", "Stream'.get_of_bisim", "Stream'.get_succ", "Stream'.get_succ_iterate", "Stream'.get_succ_iterate'", "Stream'.get_tails", "Stream'.get_unfolds_head_tail", "Stream'.get_zero_cons", "Stream'.get_zip", "Stream'.head_drop", "Stream'.head_even", "Stream'.head_iterate", "Stream'.head_map", "Stream'.head_zip", "Stream'.homomorphism", "Stream'.identity", "Stream'.inits_core_eq", "Stream'.inits_eq", "Stream'.inits_tail", "Stream'.interchange", "Stream'.interleave_eq", "Stream'.interleave_even_odd", "Stream'.iterate_eq", "Stream'.iterate_id", "Stream'.length_take", "Stream'.map_append_stream", "Stream'.map_cons", "Stream'.map_const", "Stream'.map_eq", "Stream'.map_eq_apply", "Stream'.map_id", "Stream'.map_iterate", "Stream'.map_tail", "Stream'.mem_append_stream_left", "Stream'.mem_cons_of_mem", "Stream'.mem_const", "Stream'.mem_interleave_left", "Stream'.mem_interleave_right", "Stream'.mem_map", "Stream'.mem_of_get_eq", "Stream'.mem_of_mem_even", "Stream'.mem_of_mem_odd", "Stream'.nats_eq", "Stream'.nil_append_stream", "Stream'.odd_eq", "Stream'.tail_cons", "Stream'.tail_drop", "Stream'.tail_drop'", "Stream'.tail_even", "Stream'.tail_inits", "Stream'.tail_interleave", "Stream'.tail_iterate", "Stream'.tail_map", "Stream'.tail_zip", "Stream'.tails_eq", "Stream'.tails_eq_iterate", "Stream'.take_succ", "Stream'.take_succ'", "Stream'.take_take", "Stream'.take_theorem", "Stream'.take_zero", "Stream'.unfolds_eq", "Stream'.zip_eq", "Stream'.zip_inits_tails", "StrictAnti.apply_eq_bot_iff", "StrictAnti.apply_eq_top_iff", "StrictAnti.comp_strictAntiOn", "StrictAnti.compares", "StrictAnti.const_mul", "StrictAnti.const_mul'", "StrictAnti.image_Ico_subset", "StrictAnti.image_Ioc_subset", "StrictAnti.image_Ioi_subset", "StrictAnti.image_Ioo_subset", "StrictAnti.imp", "StrictAnti.injective", "StrictAnti.ite", "StrictAnti.ite'", "StrictAnti.le_iff_le", "StrictAnti.lt_iff_lt", "StrictAnti.mapsTo_Ioc", "StrictAnti.mapsTo_Ioo", "StrictAnti.minimal_of_maximal_image", "StrictAnti.mul_const", "StrictAnti.mul_const'", "StrictAnti.mul_const_of_neg", "StrictAnti.prod_map", "StrictAnti.strictConcaveOn_univ_of_deriv", "StrictAnti.vecCons", "StrictAntiOn.Iic_union_Ici", "StrictAntiOn.cmp_map_eq", "StrictAntiOn.comp", "StrictAntiOn.compares", "StrictAntiOn.const_mul'", "StrictAntiOn.image_Iio_subset", "StrictAntiOn.image_Ioc_subset", "StrictAntiOn.image_Ioi_subset", "StrictAntiOn.image_Ioo_subset", "StrictAntiOn.injOn", "StrictAntiOn.inv", "StrictAntiOn.le_iff_le", "StrictAntiOn.lt_iff_lt", "StrictAntiOn.mapsTo_Ico", "StrictAntiOn.mapsTo_Iio", "StrictAntiOn.mapsTo_Ioc", "StrictAntiOn.mul_antitone'", "StrictAntiOn.mul_const'", "StrictAntiOn.strictConcaveOn_of_deriv", "StrictAntiOn.union", "StrictConcaveOn.add", "StrictConcaveOn.add_concaveOn", "StrictConcaveOn.add_const", "StrictConcaveOn.ae_eq_const_or_lt_map_average", "StrictConcaveOn.comp", "StrictConcaveOn.comp_strictConvexOn", "StrictConcaveOn.concaveOn", "StrictConcaveOn.congr", "StrictConcaveOn.convex_gt", "StrictConcaveOn.derivWithin_lt_slope", "StrictConcaveOn.deriv_lt_slope", "StrictConcaveOn.dual", "StrictConcaveOn.eq_of_isMaxOn", "StrictConcaveOn.eq_of_map_sum_eq", "StrictConcaveOn.inf", "StrictConcaveOn.lt_slope_of_hasDerivAt", "StrictConcaveOn.lt_slope_of_hasDerivWithinAt", "StrictConcaveOn.lt_slope_of_hasDerivWithinAt_Iio", "StrictConcaveOn.map_sum_eq_iff'", "StrictConcaveOn.secant_strict_mono", "StrictConcaveOn.slope_anti_adjacent", "StrictConcaveOn.slope_lt_deriv", "StrictConcaveOn.slope_lt_derivWithin", "StrictConcaveOn.slope_lt_of_hasDerivAt", "StrictConcaveOn.slope_lt_of_hasDerivWithinAt", "StrictConcaveOn.slope_lt_of_hasDerivWithinAt_Ioi", "StrictConcaveOn.strictAntiOn_deriv", "StrictConcaveOn.strictAntiOn_derivWithin", "StrictConcaveOn.sub_convexOn", "StrictConcaveOn.subset", "StrictConcaveOn.translate_left", "StrictConvex.add", "StrictConvex.add_left", "StrictConvex.add_right", "StrictConvex.add_smul_mem", "StrictConvex.add_smul_sub_mem", "StrictConvex.ae_eq_const_or_average_mem_interior", "StrictConvex.affine_image", "StrictConvex.affine_preimage", "StrictConvex.affinity", "StrictConvex.eq_of_openSegment_subset_frontier", "StrictConvex.inter", "StrictConvex.is_linear_preimage", "StrictConvex.linear_image", "StrictConvex.linear_preimage", "StrictConvex.mem_smul_of_zero_mem", "StrictConvex.neg", "StrictConvex.preimage_add_left", "StrictConvex.preimage_add_right", "StrictConvex.preimage_smul", "StrictConvex.smul", "StrictConvex.smul_mem_of_zero_mem", "StrictConvex.sub", "StrictConvexOn.add", "StrictConvexOn.add_const", "StrictConvexOn.add_convexOn", "StrictConvexOn.ae_eq_const_or_map_average_lt", "StrictConvexOn.comp", "StrictConvexOn.comp_strictConcaveOn", "StrictConvexOn.congr", "StrictConvexOn.derivWithin_lt_slope", "StrictConvexOn.deriv_lt_slope", "StrictConvexOn.dual", "StrictConvexOn.eq_of_isMinOn", "StrictConvexOn.eq_of_le_map_sum", "StrictConvexOn.lt_on_open_segment'", "StrictConvexOn.lt_slope_of_hasDerivAt", "StrictConvexOn.lt_slope_of_hasDerivWithinAt_Ioi", "StrictConvexOn.map_sum_eq_iff", "StrictConvexOn.map_sum_eq_iff'", "StrictConvexOn.map_sum_lt", "StrictConvexOn.secant_strict_mono", "StrictConvexOn.slope_lt_of_hasDerivAt", "StrictConvexOn.slope_lt_of_hasDerivWithinAt", "StrictConvexOn.slope_lt_of_hasDerivWithinAt_Iio", "StrictConvexOn.slope_strict_mono_adjacent", "StrictConvexOn.strictMonoOn_derivWithin", "StrictConvexOn.sub", "StrictConvexOn.sub_concaveOn", "StrictConvexOn.subset", "StrictConvexOn.sup", "StrictConvexOn.translate_left", "StrictConvexOn.translate_right", "StrictConvexSpace.of_norm_add", "StrictConvexSpace.of_norm_add_ne_two", "StrictConvexSpace.of_norm_combo_lt_one", "StrictConvexSpace.of_norm_combo_ne_one", "StrictConvexSpace.of_strictConvex_closed_unit_ball", "StrictMono.add_le_nat", "StrictMono.coe_orderIsoOfSurjective", "StrictMono.comp_strictAnti", "StrictMono.comp_strictMonoOn", "StrictMono.compares", "StrictMono.const_mul_of_neg", "StrictMono.div_const", "StrictMono.embedding_of_ordConnected", "StrictMono.id_le", "StrictMono.image_Ico_subset", "StrictMono.image_Iio_subset", "StrictMono.image_Ioc_subset", "StrictMono.image_Ioo_subset", "StrictMono.imp", "StrictMono.induced_topology_eq_preorder", "StrictMono.injective", "StrictMono.isMax_of_apply", "StrictMono.ite", "StrictMono.le_iff_le", "StrictMono.mapsTo_Ioc", "StrictMono.maximal_of_maximal_image", "StrictMono.maximal_preimage_top", "StrictMono.minimal_of_minimal_image", "StrictMono.minimal_preimage_bot", "StrictMono.monotone", "StrictMono.mul", "StrictMono.mul'", "StrictMono.mul_const", "StrictMono.mul_const_of_neg", "StrictMono.mul_monotone", "StrictMono.mul_monotone'", "StrictMono.not_bddAbove_range", "StrictMono.not_bddBelow_range", "StrictMono.orderIsoOfSurjective_symm_apply_self", "StrictMono.pow_const", "StrictMono.prod_map", "StrictMono.sign_comp", "StrictMono.strictAnti_iterate_of_map_lt", "StrictMono.strictMonoOn", "StrictMono.strictMonoOn_IccExtend", "StrictMono.strictMonoOn_IciExtend", "StrictMono.strictMono_iterate_of_lt_map", "StrictMono.tendsto_atTop", "StrictMonoOn.Ici_le_id", "StrictMonoOn.Iic_id_le", "StrictMonoOn.Iic_union_Ici", "StrictMonoOn.comp_strictAntiOn", "StrictMonoOn.const_mul'", "StrictMonoOn.continuousWithinAt_left_of_closure_image_mem_nhdsWithin", "StrictMonoOn.continuousWithinAt_right_of_closure_image_mem_nhdsWithin", "StrictMonoOn.continuousWithinAt_right_of_exists_between", "StrictMonoOn.continuousWithinAt_right_of_surjOn", "StrictMonoOn.exists_deriv_lt_slope", "StrictMonoOn.exists_deriv_lt_slope_aux", "StrictMonoOn.exists_slope_lt_deriv", "StrictMonoOn.exists_slope_lt_deriv_aux", "StrictMonoOn.image_Ico_subset", "StrictMonoOn.image_Iio_subset", "StrictMonoOn.image_Ioc_subset", "StrictMonoOn.image_Ioo_subset", "StrictMonoOn.injOn", "StrictMonoOn.le_iff_le", "StrictMonoOn.lt_iff_lt", "StrictMonoOn.mapsTo_Ico", "StrictMonoOn.mapsTo_Iio", "StrictMonoOn.mapsTo_Ioc", "StrictMonoOn.mapsTo_Ioi", "StrictMonoOn.mapsTo_Ioo", "StrictMonoOn.mono", "StrictMonoOn.mul'", "StrictMonoOn.mul_const'", "StrictMonoOn.mul_monotone'", "StrictMonoOn.strictConvexOn_of_deriv", "StrictMonoOn.strictMono", "StrictMonoOn.union", "StrictWeakOrder.esymm", "StrictWeakOrder.etrans", "StrictWeakOrder.not_lt_of_equiv", "StrictWeakOrder.not_lt_of_equiv'", "String.Iterator.Valid.next", "String.Iterator.Valid.prevn", "String.Iterator.Valid.remainingBytes_le", "String.Iterator.Valid.remainingToString", "String.Iterator.Valid.setCurr", "String.Iterator.Valid.validFor", "String.Iterator.ValidFor.atEnd", "String.Iterator.ValidFor.extract", "String.Iterator.ValidFor.hasNext", "String.Iterator.ValidFor.hasPrev", "String.Iterator.ValidFor.mk'", "String.Iterator.ValidFor.next", "String.Iterator.ValidFor.nextn", "String.Iterator.ValidFor.out'", "String.Iterator.ValidFor.pos", "String.Iterator.ValidFor.pos_eq_endPos", "String.Iterator.ValidFor.pos_eq_zero", "String.Iterator.ValidFor.prev", "String.Iterator.ValidFor.prev_nil", "String.Iterator.ValidFor.prevn", "String.Iterator.ValidFor.remainingBytes", "String.Iterator.ValidFor.remainingToString", "String.Iterator.ValidFor.setCurr'", "String.Iterator.ValidFor.toEnd", "String.Iterator.ValidFor.toEnd'", "String.Iterator.ValidFor.valid", "String.Iterator.forward_eq_nextn", "String.Iterator.hasNext_cons_addChar", "String.Pos.Valid.le_endPos", "String.Pos.addChar_eq", "String.Pos.byteIdx_zero", "String.Pos.ext_iff", "String.Pos.lt_addChar", "String.Pos.mk_zero", "String.Pos.ne_of_gt", "String.Pos.valid_endPos", "String.Pos.zero_ne_addChar", "String.all_eq", "String.all_iff", "String.anyAux_of_valid", "String.any_eq", "String.any_iff", "String.asString_nil", "String.asString_toList", "String.atEnd_of_valid", "String.back_eq", "String.congr_append", "String.data_drop", "String.data_dropWhile", "String.data_join", "String.data_take", "String.drop_empty", "String.drop_eq", "String.endPos_eq", "String.endPos_eq_zero", "String.extract.go\u2081_add_right_cancel", "String.extract.go\u2081_append_right", "String.extract.go\u2081_cons_addChar", "String.extract.go\u2081_zero_utf8Len", "String.extract.go\u2082_add_right_cancel", "String.extract.go\u2082_append_left", "String.extract_cons_addChar", "String.extract_of_valid", "String.extract_zero_endPos", "String.findAux_of_valid", "String.firstDiffPos_eq", "String.firstDiffPos_loop_eq", "String.foldlAux_of_valid", "String.foldl_eq", "String.foldrAux_of_valid", "String.foldr_eq", "String.front_eq", "String.get?_of_valid", "String.get_cons_addChar", "String.get_of_valid", "String.head_empty", "String.isEmpty_iff", "String.join_eq", "String.leftpad_length", "String.leftpad_prefix", "String.leftpad_suffix", "String.length_eq_list_length", "String.length_replicate", "String.lt_antisymm", "String.lt_iff_toList_lt", "String.lt_trans", "String.ltb_cons_addChar", "String.mapAux_of_valid", "String.map_eq", "String.modify_of_valid", "String.ne_add_csize_add_self", "String.next_of_valid", "String.next_of_valid'", "String.offsetOfPosAux_of_valid", "String.offsetOfPos_of_valid", "String.posOfAux_eq", "String.posOf_eq", "String.pos_add_char", "String.prev_of_valid", "String.prev_of_valid'", "String.revFindAux_of_valid", "String.revFind_of_valid", "String.set_of_valid", "String.splitAux_of_valid", "String.split_of_valid", "String.takeWhileAux_of_valid", "String.takeWhile_eq", "String.toList_empty", "String.toList_inj", "String.toList_nonempty", "String.toString_toSubstring", "String.utf8ByteSize.go_eq", "String.utf8ByteSize_mk", "String.utf8GetAux?_of_valid", "String.utf8GetAux_addChar_right_cancel", "String.utf8GetAux_add_right_cancel", "String.utf8GetAux_of_valid", "String.utf8Len_append", "String.utf8Len_cons", "String.utf8Len_eq_zero", "String.utf8Len_le_of_infix", "String.utf8Len_le_of_prefix", "String.utf8Len_le_of_sublist", "String.utf8Len_nil", "String.utf8Len_reverse", "String.utf8Len_reverseAux", "String.utf8PrevAux_of_valid", "String.utf8SetAux_of_valid", "String.validFor_toSubstring", "String.valid_mkIterator", "String.valid_next", "String.valid_toSubstring", "StrongConvexOn.mono", "StrongConvexOn.strictConvexOn", "StrongFEPair.differentiable_\u039b", "StrongFEPair.functional_equation", "StrongFEPair.hasMellin", "StrongFEPair.hf_top'", "StrongFEPair.hf_zero'", "StrongFEPair.\u039b_eq", "StronglyMeasurable.apply_continuousLinearMap", "StronglyMeasurableAtFilter.eventually", "StructureGroupoid.HasGroupoid.comp", "StructureGroupoid.LocalInvariantProp.congr", "StructureGroupoid.LocalInvariantProp.congr'", "StructureGroupoid.LocalInvariantProp.congr_iff", "StructureGroupoid.LocalInvariantProp.congr_iff_nhdsWithin", "StructureGroupoid.LocalInvariantProp.congr_nhdsWithin'", "StructureGroupoid.LocalInvariantProp.congr_set", "StructureGroupoid.LocalInvariantProp.left_invariance", "StructureGroupoid.LocalInvariantProp.liftPropAt_chart", "StructureGroupoid.LocalInvariantProp.liftPropAt_chart_symm", "StructureGroupoid.LocalInvariantProp.liftPropAt_congr_iff_of_eventuallyEq", "StructureGroupoid.LocalInvariantProp.liftPropAt_congr_of_eventuallyEq", "StructureGroupoid.LocalInvariantProp.liftPropAt_iff_comp_inclusion", "StructureGroupoid.LocalInvariantProp.liftPropAt_iff_comp_subtype_val", "StructureGroupoid.LocalInvariantProp.liftPropAt_of_liftPropWithinAt", "StructureGroupoid.LocalInvariantProp.liftPropAt_of_mem_groupoid", "StructureGroupoid.LocalInvariantProp.liftPropAt_of_mem_maximalAtlas", "StructureGroupoid.LocalInvariantProp.liftPropAt_symm_of_mem_maximalAtlas", "StructureGroupoid.LocalInvariantProp.liftPropOn_chart", "StructureGroupoid.LocalInvariantProp.liftPropOn_congr", "StructureGroupoid.LocalInvariantProp.liftPropOn_congr_iff", "StructureGroupoid.LocalInvariantProp.liftPropOn_indep_chart", "StructureGroupoid.LocalInvariantProp.liftPropOn_mono", "StructureGroupoid.LocalInvariantProp.liftPropOn_of_liftProp", "StructureGroupoid.LocalInvariantProp.liftPropOn_of_locally_liftPropOn", "StructureGroupoid.LocalInvariantProp.liftPropOn_of_mem_groupoid", "StructureGroupoid.LocalInvariantProp.liftPropOn_of_mem_maximalAtlas", "StructureGroupoid.LocalInvariantProp.liftPropOn_symm_of_mem_maximalAtlas", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_congr", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_congr_iff_of_eventuallyEq", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_congr_of_eventuallyEq", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_iff", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart'", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_aux", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_source", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_source_aux", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_target", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_target_aux", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_indep_chart_target_aux2", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_inter", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_inter'", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_mono", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_mono_of_mem", "StructureGroupoid.LocalInvariantProp.liftPropWithinAt_of_liftPropAt", "StructureGroupoid.LocalInvariantProp.liftProp_id", "StructureGroupoid.LocalInvariantProp.liftProp_inclusion", "StructureGroupoid.LocalInvariantProp.liftProp_subtype_val", "StructureGroupoid.LocalInvariantProp.right_invariance", "StructureGroupoid.chart_mem_maximalAtlas", "StructureGroupoid.compatible", "StructureGroupoid.compatible_of_mem_maximalAtlas", "StructureGroupoid.id_mem_maximalAtlas", "StructureGroupoid.isLocalStructomorphWithinAt_localInvariantProp", "StructureGroupoid.le_iff", "StructureGroupoid.liftPropOn_univ", "StructureGroupoid.liftPropWithinAt_self", "StructureGroupoid.liftPropWithinAt_self_source", "StructureGroupoid.liftPropWithinAt_self_target", "StructureGroupoid.liftPropWithinAt_univ", "StructureGroupoid.locality", "StructureGroupoid.mem_iff_of_eqOnSource", "StructureGroupoid.mem_maximalAtlas_of_eqOnSource", "StructureGroupoid.mem_maximalAtlas_of_mem_groupoid", "StructureGroupoid.restriction_in_maximalAtlas", "StructureGroupoid.restriction_mem_maximalAtlas_subtype", "StructureGroupoid.trans", "StructureGroupoid.trans_restricted", "SubMulAction.algebraMap_mem", "SubMulAction.coe_copy", "SubMulAction.coe_mul", "SubMulAction.coe_one", "SubMulAction.coe_pow", "SubMulAction.ext", "SubMulAction.image_inclusion", "SubMulAction.inclusion.coe_eq", "SubMulAction.inclusion.toFun_eq_coe", "SubMulAction.mem_mul", "SubMulAction.mem_one", "SubMulAction.mem_one'", "SubMulAction.mem_orbit_subMul_iff", "SubMulAction.neg_mem_iff", "SubMulAction.orbitRel_of_subMul", "SubMulAction.smul_mem", "SubMulAction.smul_of_tower_mem", "SubMulAction.stabilizer_of_subMul.submonoid", "SubMulAction.subset_coe_pow", "SubMulAction.subtype_eq_val", "SubMulAction.val_image_orbit", "SubMulAction.val_neg", "SubMulAction.val_preimage_orbit", "SubMulAction.val_smul", "Subadditive.apply_mul_add_le", "Subadditive.eventually_div_lt_of_div_lt", "Subadditive.lim_le_div", "Subadditive.tendsto_lim", "Subalgebra.FG.map", "Subalgebra.FG.prod", "Subalgebra.SeparatesPoints.rclike_to_real", "Subalgebra.SeparatesPoints.strongly", "Subalgebra.add_mem", "Subalgebra.adjoin_eq_span_basis", "Subalgebra.adjoin_rank_le", "Subalgebra.aeval_coe", "Subalgebra.algebraMap_eq", "Subalgebra.algebraMap_mem", "Subalgebra.bot_eq_top_iff_finrank_eq_one", "Subalgebra.bot_eq_top_iff_rank_eq_one", "Subalgebra.center_eq_top", "Subalgebra.center_toSubring", "Subalgebra.center_toSubsemiring", "Subalgebra.centralizer_centralizer_centralizer", "Subalgebra.centralizer_eq_top_iff_subset", "Subalgebra.coe_algebraMap", "Subalgebra.coe_centralizer", "Subalgebra.coe_comap", "Subalgebra.coe_copy", "Subalgebra.coe_eq_one", "Subalgebra.coe_equivMapOfInjective_apply", "Subalgebra.coe_iSup_of_directed", "Subalgebra.coe_one", "Subalgebra.coe_pointwise_smul", "Subalgebra.coe_pow", "Subalgebra.coe_prod", "Subalgebra.coe_restrictScalars", "Subalgebra.coe_smul", "Subalgebra.coe_sub", "Subalgebra.coe_toSubmodule", "Subalgebra.coe_toSubring", "Subalgebra.coe_val", "Subalgebra.coe_zero", "Subalgebra.copy_eq", "Subalgebra.eq_bot_of_finrank_one", "Subalgebra.eq_bot_of_rank_le_one", "Subalgebra.eq_of_le_of_finrank_eq", "Subalgebra.equivOfEq_rfl", "Subalgebra.equivOfEq_trans", "Subalgebra.ext", "Subalgebra.fg_bot", "Subalgebra.fg_bot_toSubmodule", "Subalgebra.fg_iff_finiteType", "Subalgebra.fg_of_fg_map", "Subalgebra.fg_of_fg_toSubmodule", "Subalgebra.fg_of_noetherian", "Subalgebra.fg_of_submodule_fg", "Subalgebra.fg_top", "Subalgebra.finiteDimensional_sup", "Subalgebra.finiteDimensional_toSubmodule", "Subalgebra.finite_sup", "Subalgebra.finrank_bot", "Subalgebra.finrank_eq_one_iff", "Subalgebra.finrank_left_dvd_finrank_sup_of_free", "Subalgebra.finrank_sup_eq_finrank_left_mul_finrank_of_free", "Subalgebra.finrank_sup_eq_finrank_right_mul_finrank_of_free", "Subalgebra.finrank_toSubmodule", "Subalgebra.iSupLift_inclusion", "Subalgebra.iSupLift_mk", "Subalgebra.iSupLift_of_mem", "Subalgebra.inclusion_injective", "Subalgebra.inclusion_right", "Subalgebra.inclusion_self", "Subalgebra.induction_on_adjoin", "Subalgebra.intCast_mem", "Subalgebra.inv_mem_of_algebraic", "Subalgebra.inv_mem_of_root_of_coeff_zero_ne_zero", "Subalgebra.isAlgebraic_iff", "Subalgebra.isClosed_topologicalClosure", "Subalgebra.isSimpleOrder_of_finrank", "Subalgebra.le_centralizer_centralizer", "Subalgebra.le_op_iff", "Subalgebra.le_topologicalClosure", "Subalgebra.list_sum_mem", "Subalgebra.map_injective", "Subalgebra.map_map", "Subalgebra.map_toSubmodule", "Subalgebra.map_toSubsemiring", "Subalgebra.mem_carrier", "Subalgebra.mem_center_iff", "Subalgebra.mem_centralizer_iff", "Subalgebra.mem_map", "Subalgebra.mem_of_finset_sum_eq_one_of_pow_smul_mem", "Subalgebra.mem_of_span_eq_top_of_smul_pow_mem", "Subalgebra.mem_op", "Subalgebra.mem_restrictScalars", "Subalgebra.mem_toSubmodule", "Subalgebra.mem_toSubring", "Subalgebra.mem_toSubsemiring", "Subalgebra.mem_unop", "Subalgebra.mul_mem", "Subalgebra.mul_self", "Subalgebra.mul_toSubmodule", "Subalgebra.mul_toSubmodule_le", "Subalgebra.multiset_prod_mem", "Subalgebra.mvPolynomial_aeval_coe", "Subalgebra.neg_mem", "Subalgebra.nsmul_mem", "Subalgebra.one_mem", "Subalgebra.one_mem_toNonUnitalSubalgebra", "Subalgebra.op_adjoin", "Subalgebra.op_iInf", "Subalgebra.op_iSup", "Subalgebra.op_inf", "Subalgebra.op_le_iff", "Subalgebra.op_le_op_iff", "Subalgebra.op_sInf", "Subalgebra.op_sSup", "Subalgebra.op_toSubring", "Subalgebra.op_top", "Subalgebra.op_unop", "Subalgebra.pointwise_smul_toSubsemiring", "Subalgebra.pow_mem", "Subalgebra.prod_inf_prod", "Subalgebra.prod_mem", "Subalgebra.prod_mono", "Subalgebra.prod_top", "Subalgebra.rangeS_algebraMap", "Subalgebra.range_algebraMap", "Subalgebra.range_comp_val", "Subalgebra.range_isScalarTower_toAlgHom", "Subalgebra.range_le", "Subalgebra.range_val", "Subalgebra.rank_bot", "Subalgebra.rank_eq_one_iff", "Subalgebra.rank_sup_eq_rank_left_mul_rank_of_free", "Subalgebra.rank_sup_eq_rank_right_mul_rank_of_free", "Subalgebra.rank_toSubmodule", "Subalgebra.rank_top", "Subalgebra.restrictScalars_injective", "Subalgebra.restrictScalars_top", "Subalgebra.separatesPoints_monotone", "Subalgebra.smul_mem", "Subalgebra.starClosure_eq_adjoin", "Subalgebra.starClosure_le", "Subalgebra.starClosure_toSubalgebra", "Subalgebra.star_adjoin_comm", "Subalgebra.star_mem_star_iff", "Subalgebra.star_mono", "Subalgebra.toNonUnitalSubalgebra_toSubalgebra", "Subalgebra.toSubmodule_injective", "Subalgebra.toSubmodule_toSubalgebra", "Subalgebra.toSubring_subtype", "Subalgebra.toSubsemiring_injective", "Subalgebra.toSubsemiring_subtype", "Subalgebra.topologicalClosure_coe", "Subalgebra.topologicalClosure_comap_homeomorph", "Subalgebra.topologicalClosure_minimal", "Subalgebra.topologicalClosure_star_comm", "Subalgebra.unop_adjoin", "Subalgebra.unop_bot", "Subalgebra.unop_coe", "Subalgebra.unop_iSup", "Subalgebra.unop_inf", "Subalgebra.unop_le_unop_iff", "Subalgebra.unop_op", "Subalgebra.unop_sInf", "Subalgebra.unop_sSup", "Subalgebra.unop_sup", "Subalgebra.unop_toSubring", "Subalgebra.unop_top", "Subalgebra.zero_mem", "Subalgebra.zsmul_mem", "Subbimodule.smul_mem'", "Subfield.cardinal_mk_closure_le_max", "Subfield.closure_empty", "Subfield.closure_eq", "Subfield.closure_iUnion", "Subfield.closure_induction", "Subfield.closure_preimage_le", "Subfield.closure_sUnion", "Subfield.closure_union", "Subfield.closure_univ", "Subfield.coe_copy", "Subfield.coe_div", "Subfield.coe_iSup_of_directed", "Subfield.coe_inv", "Subfield.coe_map", "Subfield.coe_neg", "Subfield.coe_sInf", "Subfield.coe_sSup_of_directedOn", "Subfield.coe_set_mk", "Subfield.coe_subtype", "Subfield.coe_toAddSubgroup", "Subfield.coe_toSubring", "Subfield.coe_top", "Subfield.comap_comap", "Subfield.comap_iInf", "Subfield.comap_inf", "Subfield.commClosure_eq_closure", "Subfield.div_mem", "Subfield.ext", "Subfield.fieldRange_subtype", "Subfield.intCast_mem", "Subfield.inv_mem", "Subfield.isClosed_topologicalClosure", "Subfield.isGLB_sInf", "Subfield.le_topologicalClosure", "Subfield.list_prod_mem", "Subfield.map_bot", "Subfield.map_le_iff_le_comap", "Subfield.map_map", "Subfield.mem_carrier", "Subfield.mem_closure", "Subfield.mem_closure_iff", "Subfield.mem_comap", "Subfield.mem_iSup_of_directed", "Subfield.mem_map", "Subfield.mem_mk", "Subfield.mem_sInf", "Subfield.mem_sSup_of_directedOn", "Subfield.mem_toAddSubgroup", "Subfield.mem_toSubring", "Subfield.mem_top", "Subfield.mk_le_mk", "Subfield.mul_mem", "Subfield.multiset_sum_mem", "Subfield.not_mem_of_not_mem_closure", "Subfield.one_mem", "Subfield.prod_mem", "Subfield.rangeOfWType_eq_top", "Subfield.sInf_toSubring", "Subfield.sub_mem", "Subfield.subring_closure_le", "Subfield.subset_closure", "Subfield.sum_mem", "Subfield.surjective_ofWType", "Subfield.toSubring_subtype_eq_subtype", "Subfield.topologicalClosure_minimal", "Subfield.zero_mem", "Subfield.zpow_mem", "Subfield.zsmul_mem", "SubfieldClass.coe_nnratCast", "SubfieldClass.coe_ratCast", "SubfieldClass.nnqsmul_mem", "SubfieldClass.nnratCast_mem", "SubfieldClass.ofScientific_mem", "SubfieldClass.qsmul_mem", "SubfieldClass.ratCast_mem", "Subgroup.IsComplement'.card_mul", "Subgroup.IsComplement'.disjoint", "Subgroup.IsComplement'.index_eq_card", "Subgroup.IsComplement'.isCompl", "Subgroup.IsComplement'.symm", "Subgroup.IsComplement.card_mul", "Subgroup.IsComplement.coe_equiv_fst_eq_one_iff_mem", "Subgroup.IsComplement.coe_equiv_snd_eq_one_iff_mem", "Subgroup.IsComplement.equiv_fst_eq_iff_leftCosetEquivalence", "Subgroup.IsComplement.equiv_fst_eq_mul_inv", "Subgroup.IsComplement.equiv_fst_eq_one_of_mem_of_one_mem", "Subgroup.IsComplement.equiv_fst_eq_self_iff_mem", "Subgroup.IsComplement.equiv_fst_eq_self_of_mem_of_one_mem", "Subgroup.IsComplement.equiv_mul_left", "Subgroup.IsComplement.equiv_mul_right", "Subgroup.IsComplement.equiv_mul_right_of_mem", "Subgroup.IsComplement.equiv_one", "Subgroup.IsComplement.equiv_snd_eq_iff_rightCosetEquivalence", "Subgroup.IsComplement.equiv_snd_eq_inv_mul", "Subgroup.IsComplement.equiv_snd_eq_one_of_mem_of_one_mem", "Subgroup.IsComplement.equiv_snd_eq_self_iff_mem", "Subgroup.IsComplement.equiv_snd_eq_self_of_mem_of_one_mem", "Subgroup.IsComplement.equiv_symm_apply", "Subgroup.IsComplement.existsUnique", "Subgroup.IsComplement.leftCosetEquivalence_equiv_fst", "Subgroup.IsComplement.mul_eq", "Subgroup.IsComplement.rightCosetEquivalence_equiv_snd", "Subgroup.MemLeftTransversals.inv_mul_toFun_mem", "Subgroup.MemLeftTransversals.inv_toFun_mul_mem", "Subgroup.MemLeftTransversals.mk''_toEquiv", "Subgroup.MemLeftTransversals.toEquiv_apply", "Subgroup.MemRightTransversals.mul_inv_toFun_mem", "Subgroup.MemRightTransversals.toEquiv_apply", "Subgroup.MemRightTransversals.toFun_mul_inv_mem", "Subgroup.Normal.comap", "Subgroup.Normal.conj_mem'", "Subgroup.Normal.map", "Subgroup.Normal.mem_comm", "Subgroup.Normal.mem_comm_iff", "Subgroup.Normal.of_map_injective", "Subgroup.NormalizerCondition.normal_of_coatom", "Subgroup.SchurZassenhausInduction.step0", "Subgroup.SchurZassenhausInduction.step1", "Subgroup.SchurZassenhausInduction.step2", "Subgroup.SchurZassenhausInduction.step3", "Subgroup.SchurZassenhausInduction.step4", "Subgroup.SchurZassenhausInduction.step5", "Subgroup.SchurZassenhausInduction.step6", "Subgroup.SchurZassenhausInduction.step7", "Subgroup.SubgroupNormal.mem_comm", "Subgroup.bot_or_exists_ne_one", "Subgroup.bot_prod_bot", "Subgroup.bot_subgroupOf", "Subgroup.card_bot", "Subgroup.card_comap_dvd_of_injective", "Subgroup.card_commutator_dvd_index_center_pow", "Subgroup.card_commutator_le_of_finite_commutatorSet", "Subgroup.card_dvd_of_injective", "Subgroup.card_dvd_of_surjective", "Subgroup.card_eq_card_quotient_mul_card_subgroup", "Subgroup.card_eq_iff_eq_top", "Subgroup.card_eq_one", "Subgroup.card_le_one_iff_eq_bot", "Subgroup.card_left_transversal", "Subgroup.card_mul_index", "Subgroup.card_quotient_dvd_card", "Subgroup.card_right_transversal", "Subgroup.card_subgroup_dvd_card", "Subgroup.center_eq_iInf", "Subgroup.center_eq_infi'", "Subgroup.center_le_normalizer", "Subgroup.center_toSubmonoid", "Subgroup.centralizer_eq_top_iff_subset", "Subgroup.centralizer_le", "Subgroup.centralizer_univ", "Subgroup.characteristic_iff_le_map", "Subgroup.characteristic_iff_map_eq", "Subgroup.closure_closure_coe_preimage", "Subgroup.closure_empty", "Subgroup.closure_eq", "Subgroup.closure_eq_bot_iff", "Subgroup.closure_eq_of_le", "Subgroup.closure_iUnion", "Subgroup.closure_induction", "Subgroup.closure_induction'", "Subgroup.closure_induction''", "Subgroup.closure_induction_left", "Subgroup.closure_induction_right", "Subgroup.closure_induction\u2082", "Subgroup.closure_inv", "Subgroup.closure_le", "Subgroup.closure_le_normalClosure", "Subgroup.closure_mono", "Subgroup.closure_mul_image_eq", "Subgroup.closure_mul_image_eq_top", "Subgroup.closure_mul_image_eq_top'", "Subgroup.closure_mul_image_mul_eq_top", "Subgroup.closure_preimage_eq_top", "Subgroup.closure_singleton_one", "Subgroup.closure_toSubmonoid", "Subgroup.closure_union", "Subgroup.codisjoint_subgroupOf_sup", "Subgroup.coeSubtype", "Subgroup.coe_center", "Subgroup.coe_comap", "Subgroup.coe_copy", "Subgroup.coe_div", "Subgroup.coe_eq_univ", "Subgroup.coe_equivMapOfInjective_apply", "Subgroup.coe_iInf", "Subgroup.coe_inclusion", "Subgroup.coe_inv", "Subgroup.coe_map", "Subgroup.coe_mk", "Subgroup.coe_mul", "Subgroup.coe_norm", "Subgroup.coe_one", "Subgroup.coe_pow", "Subgroup.coe_prod", "Subgroup.coe_sInf", "Subgroup.coe_subgroupOf", "Subgroup.coe_toSubmonoid", "Subgroup.coe_top", "Subgroup.coe_topologicalClosure_bot", "Subgroup.coe_transferFunction", "Subgroup.coe_zpow", "Subgroup.comap_comap", "Subgroup.comap_equiv_eq_map_symm", "Subgroup.comap_equiv_eq_map_symm'", "Subgroup.comap_iInf", "Subgroup.comap_id", "Subgroup.comap_inf", "Subgroup.comap_injective", "Subgroup.comap_injective_isCommutative", "Subgroup.comap_le_comap_of_le_range", "Subgroup.comap_le_comap_of_surjective", "Subgroup.comap_lt_comap_of_surjective", "Subgroup.comap_map_eq", "Subgroup.comap_map_eq_self", "Subgroup.comap_mono", "Subgroup.comap_normalClosure", "Subgroup.comap_normalizer_eq_of_injective_of_le_range", "Subgroup.comap_normalizer_eq_of_surjective", "Subgroup.comap_subtype", "Subgroup.comap_sup_eq_of_le_range", "Subgroup.comap_top", "Subgroup.commProb_quotient_le", "Subgroup.commProb_subgroup_le", "Subgroup.commutator_bot_left", "Subgroup.commutator_bot_right", "Subgroup.commutator_comm", "Subgroup.commutator_comm_le", "Subgroup.commutator_commutator_eq_bot_of_rotate", "Subgroup.commutator_def", "Subgroup.commutator_def'", "Subgroup.commutator_eq_bot_iff_le_centralizer", "Subgroup.commutator_le_left", "Subgroup.commutator_le_right", "Subgroup.commutator_mem_commutator", "Subgroup.commutator_mono", "Subgroup.commutator_pi_pi_of_finite", "Subgroup.commutator_prod_prod", "Subgroup.commute_of_normal_of_disjoint", "Subgroup.commute_subtype_of_commute", "Subgroup.conj_smul_subgroupOf", "Subgroup.disjoint_def", "Subgroup.disjoint_iff_mul_eq_one", "Subgroup.div_mem", "Subgroup.div_mem_comm_iff", "Subgroup.dvd_index_map", "Subgroup.eq_bot_of_card_le", "Subgroup.eq_bot_of_subsingleton", "Subgroup.eq_bot_or_eq_top_of_prime_card", "Subgroup.eq_one_of_noncommProd_eq_one_of_independent", "Subgroup.eq_one_of_smul_eq_one", "Subgroup.eq_top_iff'", "Subgroup.eq_top_of_card_eq", "Subgroup.equivMapOfInjective_coe_mulEquiv", "Subgroup.exists_finset_card_le_mul", "Subgroup.exists_left_transversal", "Subgroup.exists_left_transversal_of_le", "Subgroup.exists_mem_ofUnits_val_eq", "Subgroup.exists_mem_zpowers", "Subgroup.exists_right_complement'_of_coprime", "Subgroup.exists_right_complement'_of_coprime_aux'", "Subgroup.exists_right_complement'_of_coprime_of_fintype", "Subgroup.exists_right_transversal", "Subgroup.exists_right_transversal_of_le", "Subgroup.exists_smul_eq", "Subgroup.exists_zpowers", "Subgroup.exponent_toSubmonoid", "Subgroup.fg_iff", "Subgroup.fg_iff_add_fg", "Subgroup.fg_iff_submonoid_fg", "Subgroup.finiteIndex_of_finite_quotient", "Subgroup.forall_mem_zpowers", "Subgroup.forall_zpowers", "Subgroup.gc_map_comap", "Subgroup.iSup_comap_le", "Subgroup.iSup_eq_closure", "Subgroup.iSup_induction", "Subgroup.iSup_induction'", "Subgroup.independent_of_coprime_order", "Subgroup.index_bot", "Subgroup.index_bot_eq_card", "Subgroup.index_center_le_pow", "Subgroup.index_comap", "Subgroup.index_comap_of_surjective", "Subgroup.index_dvd_card", "Subgroup.index_dvd_of_le", "Subgroup.index_eq_card", "Subgroup.index_eq_one", "Subgroup.index_eq_two_iff", "Subgroup.index_eq_zero_of_relindex_eq_zero", "Subgroup.index_iInf_le", "Subgroup.index_iInf_ne_zero", "Subgroup.index_inf_le", "Subgroup.index_inf_ne_zero", "Subgroup.index_ker", "Subgroup.index_map", "Subgroup.index_map_dvd", "Subgroup.index_map_eq", "Subgroup.index_mul_card", "Subgroup.index_ne_zero_of_finite", "Subgroup.index_top", "Subgroup.inf_mul_assoc", "Subgroup.inf_relindex_left", "Subgroup.inf_relindex_right", "Subgroup.inf_subgroupOf_inf_normal_of_right", "Subgroup.inf_subgroupOf_left", "Subgroup.inf_subgroupOf_right", "Subgroup.injective_noncommPiCoprod_of_independent", "Subgroup.inv_mem", "Subgroup.inv_subset_closure", "Subgroup.isClosed_topologicalClosure", "Subgroup.isCoatom_comap_of_surjective", "Subgroup.isComplement'_bot_left", "Subgroup.isComplement'_bot_right", "Subgroup.isComplement'_bot_top", "Subgroup.isComplement'_comm", "Subgroup.isComplement'_of_card_mul_and_disjoint", "Subgroup.isComplement'_stabilizer", "Subgroup.isComplement'_top_left", "Subgroup.isComplement'_top_right", "Subgroup.isComplement_iff_existsUnique", "Subgroup.isComplement_singleton_left", "Subgroup.isComplement_singleton_right", "Subgroup.isComplement_singleton_univ", "Subgroup.isComplement_univ_left", "Subgroup.isComplement_univ_right", "Subgroup.isComplement_univ_singleton", "Subgroup.isOpen_mono", "Subgroup.isOpen_of_mem_nhds", "Subgroup.isOpen_of_one_mem_interior", "Subgroup.isOpen_of_openSubgroup", "Subgroup.isSubgroup", "Subgroup.isUnit_of_mem_ofUnits", "Subgroup.is_normal_topologicalClosure", "Subgroup.ker_le_comap", "Subgroup.le_centralizer", "Subgroup.le_centralizer_iff", "Subgroup.le_centralizer_iff_isCommutative", "Subgroup.le_closure_toSubmonoid", "Subgroup.le_normalClosure", "Subgroup.le_normalizer", "Subgroup.le_normalizer_comap", "Subgroup.le_normalizer_map", "Subgroup.le_normalizer_of_normal", "Subgroup.le_pi_iff", "Subgroup.le_pointwise_smul_iff\u2080", "Subgroup.leftTransversals.diff_mul_diff", "Subgroup.leftTransversals.diff_self", "Subgroup.leftTransversals.smul_diff_smul", "Subgroup.list_prod_mem", "Subgroup.map_bot", "Subgroup.map_comap_eq", "Subgroup.map_comap_eq_self", "Subgroup.map_comap_eq_self_of_surjective", "Subgroup.map_commutator", "Subgroup.map_eq_bot_iff", "Subgroup.map_eq_bot_iff_of_injective", "Subgroup.map_eq_comap_of_inverse", "Subgroup.map_eq_map_iff", "Subgroup.map_eq_range_iff", "Subgroup.map_equiv_normalizer_eq", "Subgroup.map_id", "Subgroup.map_inf_eq", "Subgroup.map_inf_le", "Subgroup.map_injective", "Subgroup.map_injective_of_ker_le", "Subgroup.map_le_iff_le_comap", "Subgroup.map_le_map_iff'", "Subgroup.map_le_map_iff_of_injective", "Subgroup.map_le_range", "Subgroup.map_map", "Subgroup.map_normalClosure", "Subgroup.map_normalizer_eq_of_bijective", "Subgroup.map_subtype_le", "Subgroup.map_subtype_le_map_subtype", "Subgroup.map_sup", "Subgroup.map_symm_eq_iff_map_eq", "Subgroup.map_top_of_surjective", "Subgroup.mem_bot", "Subgroup.mem_carrier", "Subgroup.mem_center_iff", "Subgroup.mem_centralizer_iff", "Subgroup.mem_centralizer_iff_commutator_eq_one", "Subgroup.mem_closure", "Subgroup.mem_closure_pair", "Subgroup.mem_closure_singleton", "Subgroup.mem_comap", "Subgroup.mem_iInf", "Subgroup.mem_iSup_of_directed", "Subgroup.mem_iSup_of_mem", "Subgroup.mem_inf", "Subgroup.mem_leftTransversals_iff_bijective", "Subgroup.mem_leftTransversals_iff_existsUnique_inv_mul_mem", "Subgroup.mem_leftTransversals_iff_existsUnique_quotient_mk''_eq", "Subgroup.mem_map", "Subgroup.mem_map_equiv", "Subgroup.mem_map_iff_mem", "Subgroup.mem_normalizer_fintype", "Subgroup.mem_normalizer_iff", "Subgroup.mem_normalizer_iff'", "Subgroup.mem_normalizer_iff''", "Subgroup.mem_ofUnits", "Subgroup.mem_ofUnits_iff", "Subgroup.mem_ofUnits_iff_exists_isUnit", "Subgroup.mem_ofUnits_iff_toUnits_mem", "Subgroup.mem_op", "Subgroup.mem_pointwise_smul_iff_inv_smul_mem\u2080", "Subgroup.mem_prod", "Subgroup.mem_rightTransversals_iff_bijective", "Subgroup.mem_rightTransversals_iff_existsUnique_mul_inv_mem", "Subgroup.mem_rightTransversals_iff_existsUnique_quotient_mk''_eq", "Subgroup.mem_sSup_of_directedOn", "Subgroup.mem_sSup_of_mem", "Subgroup.mem_subgroupOf", "Subgroup.mem_sup", "Subgroup.mem_sup'", "Subgroup.mem_sup_right", "Subgroup.mem_toSubmonoid", "Subgroup.mem_top", "Subgroup.mem_transferSet", "Subgroup.mem_units_iff_val_mem", "Subgroup.mem_unop", "Subgroup.mem_zpowers", "Subgroup.mem_zpowers_iff", "Subgroup.mulSingle_mem_pi", "Subgroup.mul_inf_assoc", "Subgroup.mul_injective_of_disjoint", "Subgroup.mul_mem", "Subgroup.mul_mem_cancel_left", "Subgroup.mul_mem_cancel_right", "Subgroup.mul_mem_iff_of_index_two", "Subgroup.mul_mem_sup", "Subgroup.mul_normal", "Subgroup.multiset_prod_mem", "Subgroup.nat_card_dvd_of_injective", "Subgroup.nat_card_dvd_of_le", "Subgroup.nat_card_dvd_of_surjective", "Subgroup.ne_bot_iff_exists_ne_one", "Subgroup.nilpotencyClass_le", "Subgroup.noncommPiCoprod_range", "Subgroup.noncommProd_mem", "Subgroup.nontrivial_iff", "Subgroup.nontrivial_iff_exists_ne_one", "Subgroup.nontrivial_iff_ne_bot", "Subgroup.normalClosure_closure_eq_normalClosure", "Subgroup.normalClosure_eq_iInf", "Subgroup.normalClosure_eq_self", "Subgroup.normalClosure_idempotent", "Subgroup.normalClosure_le_normal", "Subgroup.normalClosure_mono", "Subgroup.normalClosure_subset_iff", "Subgroup.normalCore_eq_iSup", "Subgroup.normalCore_eq_ker", "Subgroup.normalCore_eq_self", "Subgroup.normalCore_le", "Subgroup.normalCore_mono", "Subgroup.normal_mul", "Subgroup.normal_subgroupOf_iff", "Subgroup.normalizer_eq_top", "Subgroup.npow_mem_zpowers", "Subgroup.ofUnits_bot", "Subgroup.ofUnits_iSup\u2082", "Subgroup.ofUnits_injective", "Subgroup.ofUnits_right_inverse", "Subgroup.ofUnits_sSup", "Subgroup.ofUnits_sup_units", "Subgroup.of_normal", "Subgroup.one_lt_card_iff_ne_bot", "Subgroup.one_mem", "Subgroup.op_closure", "Subgroup.op_iInf", "Subgroup.op_inf", "Subgroup.op_le_iff", "Subgroup.op_le_op_iff", "Subgroup.op_sInf", "Subgroup.op_sSup", "Subgroup.op_sup", "Subgroup.op_toSubmonoid", "Subgroup.op_top", "Subgroup.op_unop", "Subgroup.orderOf_coe", "Subgroup.orderOf_dvd_natCard", "Subgroup.orderOf_le_card", "Subgroup.pi_bot", "Subgroup.pi_eq_bot_iff", "Subgroup.pi_le_iff", "Subgroup.pi_mem_of_mulSingle_mem", "Subgroup.pi_mem_of_mulSingle_mem_aux", "Subgroup.pi_top", "Subgroup.pointwise_smul_le_pointwise_smul_iff", "Subgroup.pointwise_smul_le_pointwise_smul_iff\u2080", "Subgroup.pow_exponent_eq_one", "Subgroup.pow_index_mem", "Subgroup.prod_eq_bot_iff", "Subgroup.prod_le_iff", "Subgroup.prod_mono_left", "Subgroup.prod_mono_right", "Subgroup.properlyDiscontinuousSMul_of_tendsto_cofinite", "Subgroup.properlyDiscontinuousSMul_opposite_of_tendsto_cofinite", "Subgroup.quotientCenterEmbedding_apply", "Subgroup.quotientEquivOfEq_mk", "Subgroup.quotientEquivSigmaZMod_apply", "Subgroup.quotientEquivSigmaZMod_symm_apply", "Subgroup.quotientMapOfLE_apply_mk", "Subgroup.quotientiInfEmbedding_apply_mk", "Subgroup.quotientiInfSubgroupOfEmbedding_apply_mk", "Subgroup.range_mem_leftTransversals", "Subgroup.range_mem_rightTransversals", "Subgroup.rank_closure_finite_le_nat_card", "Subgroup.rank_closure_finset_le_card", "Subgroup.rank_congr", "Subgroup.rank_le_index_mul_rank", "Subgroup.relindex_bot_left", "Subgroup.relindex_bot_left_eq_card", "Subgroup.relindex_bot_right", "Subgroup.relindex_comap", "Subgroup.relindex_dvd_index_of_le", "Subgroup.relindex_dvd_of_le_left", "Subgroup.relindex_eq_one", "Subgroup.relindex_eq_zero_of_le_right", "Subgroup.relindex_iInf_le", "Subgroup.relindex_iInf_ne_zero", "Subgroup.relindex_inf_le", "Subgroup.relindex_inf_mul_relindex", "Subgroup.relindex_inf_ne_zero", "Subgroup.relindex_ker", "Subgroup.relindex_le_of_le_left", "Subgroup.relindex_le_of_le_right", "Subgroup.relindex_mul_index", "Subgroup.relindex_mul_relindex", "Subgroup.relindex_ne_zero_trans", "Subgroup.relindex_self", "Subgroup.relindex_sup_left", "Subgroup.relindex_sup_right", "Subgroup.relindex_top_right", "Subgroup.saturated_iff_npow", "Subgroup.saturated_iff_zpow", "Subgroup.set_mul_normal_comm", "Subgroup.singleton_mul_subgroup", "Subgroup.smul_bot", "Subgroup.smul_diff'", "Subgroup.smul_diff_smul'", "Subgroup.smul_inf", "Subgroup.smul_mem_pointwise_smul", "Subgroup.smul_mem_pointwise_smul_iff\u2080", "Subgroup.smul_normal", "Subgroup.smul_opposite_image_mul_preimage'", "Subgroup.smul_toFun", "Subgroup.sq_mem_of_index_two", "Subgroup.subgroupOf_bot_eq_top", "Subgroup.subgroupOf_eq_bot", "Subgroup.subgroupOf_eq_top", "Subgroup.subgroupOf_inj", "Subgroup.subgroupOf_map_subtype", "Subgroup.subgroupOf_normalizer_eq", "Subgroup.subgroupOf_self", "Subgroup.subgroupOf_sup", "Subgroup.subgroup_mul_singleton", "Subgroup.subset_closure", "Subgroup.subset_normalClosure", "Subgroup.subset_pointwise_smul_iff", "Subgroup.subsingleton_iff", "Subgroup.subtype_injective", "Subgroup.subtype_range", "Subgroup.sup_eq_closure", "Subgroup.sup_eq_closure_mul", "Subgroup.sup_subgroupOf_eq", "Subgroup.sylow_mem_fixedPoints_iff", "Subgroup.tendsto_coe_cofinite_of_discrete", "Subgroup.toSubmonoid_injective", "Subgroup.toSubmonoid_le", "Subgroup.toSubmonoid_mono", "Subgroup.top_prod", "Subgroup.top_prod_top", "Subgroup.top_subgroupOf", "Subgroup.topologicalClosure_coe", "Subgroup.topologicalClosure_minimal", "Subgroup.transferFunction_apply", "Subgroup.transferTransversal_apply", "Subgroup.transferTransversal_apply'", "Subgroup.transferTransversal_apply''", "Subgroup.unit_mem_of_mem_ofUnits", "Subgroup.unit_of_mem_ofUnits_spec_eq_of_val_mem", "Subgroup.unit_of_mem_ofUnits_spec_mem", "Subgroup.unop_closure", "Subgroup.unop_inf", "Subgroup.unop_le_unop_iff", "Subgroup.unop_sInf", "Subgroup.unop_sup", "Subgroup.unop_toSubmonoid", "Subgroup.val_finset_prod", "Subgroup.val_mem_ofUnits_iff_mem", "Subgroup.val_multiset_prod", "Subgroup.zpow_mem", "Subgroup.zpow_mem_zpowers", "Subgroup.zpowers_eq_bot", "Subgroup.zpowers_eq_closure", "Subgroup.zpowers_le", "Subgroup.zpowers_one_eq_bot", "SubgroupClass.coe_div", "SubgroupClass.coe_zpow", "SubgroupClass.inclusion_mk", "SubgroupClass.inclusion_self", "SubgroupClass.subset_union", "SubgroupClass.subtype_comp_inclusion", "Sublattice.apply_coe_mem_map", "Sublattice.apply_mem_map_iff", "Sublattice.coe_bot", "Sublattice.coe_eq_empty", "Sublattice.coe_eq_univ", "Sublattice.coe_iInf", "Sublattice.coe_inf", "Sublattice.coe_inf'", "Sublattice.coe_map", "Sublattice.coe_sInf", "Sublattice.coe_subtype", "Sublattice.coe_sup", "Sublattice.coe_top", "Sublattice.comap_iInf", "Sublattice.comap_id", "Sublattice.comap_inf", "Sublattice.comap_mono", "Sublattice.comap_top", "Sublattice.gc_map_comap", "Sublattice.inclusion_injective", "Sublattice.inclusion_rfl", "Sublattice.infClosed", "Sublattice.le_comap_iSup", "Sublattice.map_bot", "Sublattice.map_iSup", "Sublattice.map_id", "Sublattice.map_inf", "Sublattice.map_inf_le", "Sublattice.map_map", "Sublattice.map_mono", "Sublattice.map_symm_eq_iff_eq_map", "Sublattice.map_top", "Sublattice.mem_carrier", "Sublattice.mem_comap", "Sublattice.mem_iInf", "Sublattice.mem_map", "Sublattice.mem_map_equiv", "Sublattice.mem_map_of_mem", "Sublattice.mem_sInf", "Sublattice.mem_top", "Sublattice.mk_inf_mk", "Sublattice.mk_le_mk", "Sublattice.mk_sup_mk", "Sublattice.subsingleton_iff", "Sublattice.subtype_apply", "Sublattice.subtype_comp_inclusion", "Sublattice.subtype_injective", "Sublattice.supClosed", "Submodule.AddMonoidHom.coe_toIntLinearMap_comap", "Submodule.ClosedComplemented.isClosed", "Submodule.ClosedComplemented.of_isCompl_isClosed", "Submodule.ClosedComplemented.of_quotient_finiteDimensional", "Submodule.FG.map", "Submodule.FG.map\u2082", "Submodule.FG.mul", "Submodule.FG.pow", "Submodule.FG.prod", "Submodule.FG.stabilizes_of_iSup_eq", "Submodule.FG.sup", "Submodule.IsOrtho.comap_iff", "Submodule.IsOrtho.ge", "Submodule.IsOrtho.inner_eq", "Submodule.IsOrtho.le", "Submodule.IsOrtho.map", "Submodule.IsOrtho.map_iff", "Submodule.IsOrtho.mono", "Submodule.IsOrtho.mono_left", "Submodule.IsOrtho.mono_right", "Submodule.IsPrincipal.associated_generator_span_self", "Submodule.IsPrincipal.eq_bot_iff_generator_eq_zero", "Submodule.IsPrincipal.generator_map_dvd_of_mem", "Submodule.IsPrincipal.generator_mem", "Submodule.IsPrincipal.generator_submoduleImage_dvd_of_mem", "Submodule.IsPrincipal.mem_iff_eq_smul_generator", "Submodule.IsPrincipal.mem_iff_generator_dvd", "Submodule.IsPrincipal.of_comap", "Submodule.IsPrincipal.prime_generator_of_isPrime", "Submodule.IsPrincipal.principal", "Submodule.IsPrincipal.span_singleton_generator", "Submodule.Quotient.eq", "Submodule.Quotient.equiv_refl", "Submodule.Quotient.equiv_symm", "Submodule.Quotient.equiv_trans", "Submodule.Quotient.mk'_eq_mk'", "Submodule.Quotient.mk_eq_zero", "Submodule.Quotient.mk_smul", "Submodule.Quotient.mk_sub", "Submodule.Quotient.mk_surjective", "Submodule.Quotient.nontrivial_of_lt_top", "Submodule.Quotient.norm_mk_le", "Submodule.Quotient.norm_mk_lt", "Submodule.Quotient.quot_mk_eq_mk", "Submodule.Quotient.restrictScalarsEquiv_mk", "Submodule.Quotient.restrictScalarsEquiv_symm_mk", "Submodule.QuotientTorsion.torsion_eq_bot", "Submodule.add_eq_sup", "Submodule.add_mem", "Submodule.add_mem_iff_left", "Submodule.add_mem_sup", "Submodule.adjoint_subtypeL", "Submodule.algebraMap_mem", "Submodule.angle_coe", "Submodule.annihilator_bot", "Submodule.annihilator_iSup", "Submodule.annihilator_mono", "Submodule.annihilator_quotient", "Submodule.annihilator_top_inter_nonZeroDivisors", "Submodule.apply_mem_map\u2082", "Submodule.apply_mem_span_image_iff_mem_span", "Submodule.apply_mem_span_image_of_mem_span", "Submodule.baseChange_span", "Submodule.baseChange_top", "Submodule.basisOfPid_bot", "Submodule.basis_of_pid_aux", "Submodule.biSup_comap_eq_top_of_range_eq_biSup", "Submodule.biSup_comap_eq_top_of_surjective", "Submodule.biSup_comap_subtype_eq_top", "Submodule.biSup_eq_range_dfinsupp_lsum", "Submodule.bot_coe", "Submodule.bot_eq_top_of_rank_eq_zero", "Submodule.bot_ext", "Submodule.bot_orthogonal_eq_top", "Submodule.bot_smul", "Submodule.bot_toAddSubmonoid", "Submodule.cardQuot_apply", "Submodule.cardQuot_bot", "Submodule.cardQuot_eq_one_iff", "Submodule.cardQuot_top", "Submodule.card_eq_card_quotient_mul_card", "Submodule.card_quotient_mul_card_quotient", "Submodule.carrier_inj", "Submodule.closedComplemented_bot", "Submodule.closedComplemented_iff_isClosed_exists_isClosed_isCompl", "Submodule.closedComplemented_top", "Submodule.closure_induction", "Submodule.closure_induction'", "Submodule.closure_neg", "Submodule.closure_subset_span", "Submodule.closure_subset_topologicalClosure_span", "Submodule.coeSubtype", "Submodule.coe_continuous_linearProjOfClosedCompl", "Submodule.coe_copy", "Submodule.coe_eq_zero", "Submodule.coe_iSup_of_directed", "Submodule.coe_inclusion", "Submodule.coe_mem", "Submodule.coe_mk", "Submodule.coe_neg", "Submodule.coe_norm", "Submodule.coe_pi", "Submodule.coe_pointwise_smul", "Submodule.coe_prodEquivOfClosedCompl", "Submodule.coe_prodEquivOfClosedCompl_symm", "Submodule.coe_prodEquivOfIsCompl'", "Submodule.coe_restrictScalars", "Submodule.coe_scott_continuous", "Submodule.coe_set_mk", "Submodule.coe_set_neg", "Submodule.coe_set_smul", "Submodule.coe_smul", "Submodule.coe_smul_of_tower", "Submodule.coe_span_eq_self", "Submodule.coe_span_eq_span_of_surjective", "Submodule.coe_span_smul", "Submodule.coe_subtypeL", "Submodule.coe_subtypeL'", "Submodule.coe_subtype\u2097\u1d62", "Submodule.coe_sum", "Submodule.coe_sup", "Submodule.coe_toAddSubmonoid", "Submodule.coe_toSubMulAction", "Submodule.coe_torsion_eq_annihilator_ne_bot", "Submodule.coe_zero", "Submodule.colon_bot", "Submodule.colon_mono", "Submodule.colon_top", "Submodule.comapMkQOrderEmbedding_eq", "Submodule.comapSubtypeEquivOfLe_apply_coe", "Submodule.comap_bot", "Submodule.comap_comp", "Submodule.comap_dualAnnihilator", "Submodule.comap_equiv_eq_map_symm", "Submodule.comap_fst", "Submodule.comap_iInf", "Submodule.comap_iInf_map_of_injective", "Submodule.comap_iSup_map_of_injective", "Submodule.comap_inf_map_of_injective", "Submodule.comap_injective_of_surjective", "Submodule.comap_le_comap_iff_of_surjective", "Submodule.comap_le_comap_smul", "Submodule.comap_liftQ", "Submodule.comap_map_eq", "Submodule.comap_map_eq_of_injective", "Submodule.comap_map_eq_self", "Submodule.comap_map_mkQ", "Submodule.comap_mono", "Submodule.comap_neg", "Submodule.comap_op_one", "Submodule.comap_op_pow", "Submodule.comap_smul", "Submodule.comap_strictMono_of_surjective", "Submodule.comap_subtype_eq_top", "Submodule.comap_sup_map_of_injective", "Submodule.comap_surjective_of_injective", "Submodule.comap_top", "Submodule.comap_unop_one", "Submodule.comm_trans_lTensorOne", "Submodule.comm_trans_rTensorOne", "Submodule.complete_of_finiteDimensional", "Submodule.convex", "Submodule.copy_eq", "Submodule.dense_iff_topologicalClosure_eq_top", "Submodule.dfinsupp_sumAddHom_mem", "Submodule.dfinsupp_sum_mem", "Submodule.disjoint_def", "Submodule.disjoint_def'", "Submodule.disjoint_iff_comap_eq_bot", "Submodule.disjoint_span_singleton", "Submodule.disjoint_span_singleton'", "Submodule.dualAnnihilator_bot", "Submodule.dualAnnihilator_gc", "Submodule.dualAnnihilator_iSup_eq", "Submodule.dualAnnihilator_map_linearEquiv_flip_symm", "Submodule.dualAnnihilator_sup_eq", "Submodule.dualAnnihilator_top", "Submodule.dualCoannihilator_anti", "Submodule.dualCoannihilator_dualAnnihilator_dualCoannihilator", "Submodule.dualCoannihilator_map_linearEquiv_flip", "Submodule.dualCoannihilator_sup_eq", "Submodule.dualCopairing_apply", "Submodule.dualCopairing_eq", "Submodule.dualRestrict_apply", "Submodule.dualRestrict_def", "Submodule.dualRestrict_ker_eq_dualAnnihilator", "Submodule.empty_set_smul", "Submodule.eq_bot_iff", "Submodule.eq_bot_of_le_smul_of_le_jacobson_bot", "Submodule.eq_bot_of_set_smul_eq_of_subset_jacobson_annihilator", "Submodule.eq_bot_of_subsingleton", "Submodule.eq_iSup_inf_genEigenspace", "Submodule.eq_smul_of_le_smul_of_le_jacobson", "Submodule.eq_top_iff'", "Submodule.eq_top_of_disjoint", "Submodule.eq_top_of_finrank_eq", "Submodule.eq_top_of_nonempty_interior'", "Submodule.eq_zero_of_bot_submodule", "Submodule.equivSubtypeMap_apply", "Submodule.equivSubtypeMap_symm_apply", "Submodule.existsUnique_add_of_isCompl_prod", "Submodule.existsUnique_from_graph", "Submodule.exists_add_eq_of_codisjoint", "Submodule.exists_dual_map_eq_bot_of_nmem", "Submodule.exists_fg_le_eq_rTensor_inclusion", "Submodule.exists_finset_of_mem_iSup", "Submodule.exists_isCompl", "Submodule.exists_isInternal_prime_power_torsion", "Submodule.exists_isInternal_prime_power_torsion_of_pid", "Submodule.exists_isTorsionBy", "Submodule.exists_le_ker_of_lt_top", "Submodule.exists_lieSubmodule_coe_eq_iff", "Submodule.exists_mem_and_smul_eq_self_of_fg_of_le_smul", "Submodule.exists_mem_ne_zero_of_ne_bot", "Submodule.exists_smith_normal_form_of_le", "Submodule.exists_sub_one_mem_and_smul_eq_zero_of_fg_of_le_smul", "Submodule.ext", "Submodule.fg_biSup", "Submodule.fg_bot", "Submodule.fg_def", "Submodule.fg_iSup", "Submodule.fg_iff_addSubmonoid_fg", "Submodule.fg_iff_add_subgroup_fg", "Submodule.fg_iff_compact", "Submodule.fg_iff_exists_fin_generating_family", "Submodule.fg_iff_finiteDimensional", "Submodule.fg_induction", "Submodule.fg_ker_comp", "Submodule.fg_of_fg_map_injective", "Submodule.fg_of_fg_map_of_fg_inf_ker", "Submodule.fg_of_isUnit", "Submodule.fg_pi", "Submodule.fg_restrictScalars", "Submodule.fg_span_singleton", "Submodule.fg_top", "Submodule.fg_unit", "Submodule.finiteDimensional_of_le", "Submodule.finite_dualAnnihilator_iff", "Submodule.finite_ne_bot_of_independent", "Submodule.finite_span_isCompactElement", "Submodule.finrank_add_eq_of_isCompl", "Submodule.finrank_add_finrank_le_of_disjoint", "Submodule.finrank_add_finrank_orthogonal", "Submodule.finrank_add_finrank_orthogonal'", "Submodule.finrank_add_inf_finrank_orthogonal", "Submodule.finrank_add_inf_finrank_orthogonal'", "Submodule.finrank_add_le_finrank_add_finrank", "Submodule.finrank_eq_zero", "Submodule.finrank_le", "Submodule.finrank_le_one_iff_isPrincipal", "Submodule.finrank_lt", "Submodule.finrank_lt_finrank_of_lt", "Submodule.finrank_map_subtype_eq", "Submodule.finrank_quotient_add_finrank", "Submodule.finrank_quotient_le", "Submodule.finrank_strictMono", "Submodule.finrank_sup_add_finrank_inf_eq", "Submodule.finset_inf_coe", "Submodule.finset_span_isCompactElement", "Submodule.finsupp_sum_mem", "Submodule.fst_inf_snd", "Submodule.fst_map_fst", "Submodule.fst_map_snd", "Submodule.fst_sup_snd", "Submodule.gc_map_comap", "Submodule.iInf_coe", "Submodule.iInf_comap_proj", "Submodule.iInf_orthogonal", "Submodule.iSup_dualAnnihilator_le_iInf", "Submodule.iSup_eq_range_dfinsupp_lsum", "Submodule.iSup_eq_span", "Submodule.iSup_eq_toSubmodule_range", "Submodule.iSup_induction", "Submodule.iSup_induction'", "Submodule.iSup_map_single", "Submodule.iSup_span", "Submodule.iSup_toAddSubmonoid", "Submodule.iSup_torsionBySet_ideal_eq_torsionBySet_iInf", "Submodule.iSup_torsionBy_eq_torsionBy_prod", "Submodule.ideal_span_singleton_smul", "Submodule.image_span_subset", "Submodule.image_span_subset_span", "Submodule.inclusion_apply", "Submodule.inclusion_injective", "Submodule.inf_coe", "Submodule.inf_comap_le_comap_add", "Submodule.inf_genEigenspace", "Submodule.inf_iSup_genEigenspace", "Submodule.inf_orthogonal_eq_bot", "Submodule.injective_subtype", "Submodule.inner_left_of_mem_orthogonal", "Submodule.inner_right_of_mem_orthogonal", "Submodule.isClosed_or_dense_of_isCoatom", "Submodule.isClosed_orthogonal", "Submodule.isClosed_topologicalClosure", "Submodule.isCompl_comap_subtype_of_isCompl_of_le", "Submodule.isCompl_orthogonal_of_completeSpace", "Submodule.isHilbertSumOrthogonal", "Submodule.isInternal_prime_power_torsion", "Submodule.isInternal_prime_power_torsion_of_is_torsion_by_ideal", "Submodule.isInternal_prime_power_torsion_of_pid", "Submodule.isOpenMap_mkQ", "Submodule.isOpen_mono", "Submodule.isOrtho_bot_left", "Submodule.isOrtho_iSup_left", "Submodule.isOrtho_iSup_right", "Submodule.isOrtho_iff_inner_eq", "Submodule.isOrtho_iff_le", "Submodule.isOrtho_orthogonal_left", "Submodule.isOrtho_self", "Submodule.isOrtho_span", "Submodule.isOrtho_sup_right", "Submodule.isOrtho_top_left", "Submodule.isOrtho_top_right", "Submodule.isSemisimple_torsionBy_of_irreducible", "Submodule.isTorsion'_iff_torsion'_eq_top", "Submodule.isTorsion'_powers_iff", "Submodule.ker_inclusion", "Submodule.ker_inl", "Submodule.ker_inr", "Submodule.ker_liftQ", "Submodule.ker_liftQ_eq_bot", "Submodule.ker_mkQ", "Submodule.ker_subtype", "Submodule.lTensorOne'_one_tmul", "Submodule.lTensorOne'_tmul", "Submodule.lTensorOne_one_tmul", "Submodule.lTensorOne_symm_apply", "Submodule.lTensorOne_tmul", "Submodule.le_comap_map", "Submodule.le_comap_mkQ", "Submodule.le_comap_pow_of_le_comap", "Submodule.le_comap_single_pi", "Submodule.le_div_iff", "Submodule.le_div_iff_mul_le", "Submodule.le_dualAnnihilator_dualCoannihilator", "Submodule.le_dualAnnihilator_iff_le_dualCoannihilator", "Submodule.le_dualCoannihilator_dualAnnihilator", "Submodule.le_of_le_smul_of_le_jacobson_bot", "Submodule.le_one_toAddSubmonoid", "Submodule.le_orthogonalBilin_orthogonalBilin", "Submodule.le_orthogonal_orthogonal", "Submodule.le_pow_toAddSubmonoid", "Submodule.le_prod_iff", "Submodule.le_self_mul_one_div", "Submodule.le_span_singleton_iff", "Submodule.le_topologicalClosure", "Submodule.le_traceDual", "Submodule.le_traceDual_iff_map_le_one", "Submodule.le_traceDual_mul_iff", "Submodule.le_traceDual_traceDual", "Submodule.liftQSpanSingleton_apply", "Submodule.liftQ_apply", "Submodule.liftQ_mkQ", "Submodule.linearMap_qext", "Submodule.linearProjOfIsCompl_apply_left", "Submodule.linearProjOfIsCompl_apply_right'", "Submodule.linearProjOfIsCompl_comp_subtype", "Submodule.linearProjOfIsCompl_idempotent", "Submodule.linear_proj_add_linearProjOfIsCompl_eq_self", "Submodule.lt_of_le_of_finrank_lt_finrank", "Submodule.lt_sup_iff_not_mem", "Submodule.lt_top_of_finrank_lt_finrank", "Submodule.mapQ_apply", "Submodule.mapQ_id", "Submodule.mapQ_pow", "Submodule.mapQ_zero", "Submodule.map_bot", "Submodule.map_coe", "Submodule.map_comap_eq", "Submodule.map_comap_eq_self", "Submodule.map_comap_le", "Submodule.map_comap_subtype", "Submodule.map_comp", "Submodule.map_div", "Submodule.map_dualAnnihilator_linearEquiv_flip_symm", "Submodule.map_dualCoannihilator_le", "Submodule.map_dualCoannihilator_linearEquiv_flip", "Submodule.map_equivMapOfInjective_symm_apply", "Submodule.map_equiv_eq_comap_symm", "Submodule.map_iInf_comap_of_surjective", "Submodule.map_iSup", "Submodule.map_id", "Submodule.map_inf", "Submodule.map_inf_comap_of_surjective", "Submodule.map_inf_eq_map_inf_comap", "Submodule.map_injective_of_injective", "Submodule.map_inl", "Submodule.map_inr", "Submodule.map_le_iff_le_comap", "Submodule.map_le_map_iff_of_injective", "Submodule.map_le_smul_top", "Submodule.map_liftQ", "Submodule.map_mem_span_algebraMap_image", "Submodule.map_mkQ_eq_top", "Submodule.map_mul", "Submodule.map_neg", "Submodule.map_one", "Submodule.map_op_mul", "Submodule.map_pow", "Submodule.map_smul''", "Submodule.map_span", "Submodule.map_span_le", "Submodule.map_strictMono_of_injective", "Submodule.map_subtype_le", "Submodule.map_subtype_range_inclusion", "Submodule.map_subtype_span_singleton", "Submodule.map_subtype_top", "Submodule.map_sup", "Submodule.map_surjective_of_surjective", "Submodule.map_symm_eq_iff", "Submodule.map_toAddSubmonoid", "Submodule.map_toAddSubmonoid'", "Submodule.map_top", "Submodule.map_unop_mul", "Submodule.map_unop_one", "Submodule.map_zero", "Submodule.mapsTo_smul_closure", "Submodule.map\u2082_bot_left", "Submodule.map\u2082_bot_right", "Submodule.map\u2082_eq_span_image2", "Submodule.map\u2082_flip", "Submodule.map\u2082_iSup_left", "Submodule.map\u2082_iSup_right", "Submodule.map\u2082_span_singleton_eq_map", "Submodule.map\u2082_span_singleton_eq_map_flip", "Submodule.map\u2082_span_span", "Submodule.map\u2082_sup_left", "Submodule.map\u2082_sup_right", "Submodule.mem_annihilator", "Submodule.mem_annihilator_span", "Submodule.mem_biSup_iff_exists_dfinsupp", "Submodule.mem_bot", "Submodule.mem_carrier", "Submodule.mem_colon'", "Submodule.mem_colon_singleton", "Submodule.mem_comap", "Submodule.mem_div_iff_forall_mul_mem", "Submodule.mem_div_iff_smul_subset", "Submodule.mem_dualAnnihilator", "Submodule.mem_dualCoannihilator", "Submodule.mem_finset_inf", "Submodule.mem_iInf", "Submodule.mem_iSup_finset_iff_exists_sum", "Submodule.mem_iSup_iff_exists_dfinsupp'", "Submodule.mem_iSup_iff_exists_finsupp", "Submodule.mem_iSup_of_chain", "Submodule.mem_iSup_of_directed", "Submodule.mem_iSup_of_mem", "Submodule.mem_ideal_smul_span_iff_exists_sum", "Submodule.mem_ideal_smul_span_iff_exists_sum'", "Submodule.mem_inf", "Submodule.mem_left_iff_eq_zero_of_disjoint", "Submodule.mem_map", "Submodule.mem_map_equiv", "Submodule.mem_map_of_mem", "Submodule.mem_mul_span_singleton", "Submodule.mem_neg", "Submodule.mem_of_span_eq_top_of_smul_pow_mem", "Submodule.mem_of_span_top_of_smul_mem", "Submodule.mem_one", "Submodule.mem_orthogonal", "Submodule.mem_orthogonal'", "Submodule.mem_orthogonalBilin_iff", "Submodule.mem_orthogonal_singleton_iff_inner_left", "Submodule.mem_orthogonal_singleton_iff_inner_right", "Submodule.mem_pi", "Submodule.mem_prod", "Submodule.mem_right_iff_eq_zero_of_disjoint", "Submodule.mem_sInf", "Submodule.mem_sSup", "Submodule.mem_sSup_iff_exists_finset", "Submodule.mem_sSup_of_directed", "Submodule.mem_sSup_of_mem", "Submodule.mem_set_smul", "Submodule.mem_set_smul_def", "Submodule.mem_set_smul_of_mem_mem", "Submodule.mem_singleton_set_smul", "Submodule.mem_smul_iff_inv_mul_mem", "Submodule.mem_smul_span", "Submodule.mem_smul_span_singleton", "Submodule.mem_smul_top_iff", "Submodule.mem_span", "Submodule.mem_span_finite_of_mem_span", "Submodule.mem_span_insert", "Submodule.mem_span_insert'", "Submodule.mem_span_mul_finite_of_mem_mul", "Submodule.mem_span_mul_finite_of_mem_span_mul", "Submodule.mem_span_pair", "Submodule.mem_span_singleton", "Submodule.mem_span_singleton_mul", "Submodule.mem_span_singleton_self", "Submodule.mem_span_singleton_trans", "Submodule.mem_sup", "Submodule.mem_sup'", "Submodule.mem_sup_left", "Submodule.mem_sup_right", "Submodule.mem_toAddSubgroup", "Submodule.mem_toAddSubmonoid", "Submodule.mem_toNonUnitalSubalgebra", "Submodule.mem_toSubalgebra", "Submodule.mem_top", "Submodule.mem_torsionBySet_iff", "Submodule.mem_torsionBy_iff", "Submodule.mem_traceDual", "Submodule.mem_traceDual_iff_isIntegral", "Submodule.mkQ_apply", "Submodule.mkQ_map_self", "Submodule.mkQ_surjective", "Submodule.mk_eq_zero", "Submodule.mk_le_mk", "Submodule.mk_quotientEquivOfIsCompl_apply", "Submodule.mulLeftMap_apply", "Submodule.mulLeftMap_apply_single", "Submodule.mulLeftMap_eq_mulRightMap", "Submodule.mulLeftMap_eq_mulRightMap_of_commute", "Submodule.mulMap'_surjective", "Submodule.mulMap_comm", "Submodule.mulMap_comm_of_commute", "Submodule.mulMap_comp_lTensor", "Submodule.mulMap_eq_mul'_comp_mapIncl", "Submodule.mulMap_one_left_eq", "Submodule.mulMap_op", "Submodule.mulMap_range", "Submodule.mulMap_tmul", "Submodule.mulRightMap_apply_single", "Submodule.mul_annihilator", "Submodule.mul_bot", "Submodule.mul_comm", "Submodule.mul_eq_span_mul_set", "Submodule.mul_iSup", "Submodule.mul_induction_on", "Submodule.mul_induction_on'", "Submodule.mul_le", "Submodule.mul_le_mul", "Submodule.mul_le_mul_left", "Submodule.mul_le_mul_right", "Submodule.mul_mem_mul", "Submodule.mul_mem_mul_rev", "Submodule.mul_one", "Submodule.mul_one_div_le_one", "Submodule.mul_smul_mul_eq_smul_mul_smul", "Submodule.mul_sup", "Submodule.mul_toAddSubmonoid", "Submodule.ne_bot_iff", "Submodule.ne_zero_of_ortho", "Submodule.neg_coe", "Submodule.neg_iInf", "Submodule.neg_iSup", "Submodule.neg_inf", "Submodule.neg_le", "Submodule.neg_le_neg", "Submodule.neg_sup", "Submodule.neg_toAddSubmonoid", "Submodule.neg_top", "Submodule.noZeroSMulDivisors_iff_torsion_eq_bot", "Submodule.nonempty", "Submodule.nonempty_basis_of_pid", "Submodule.nontrivial_iff", "Submodule.nontrivial_iff_ne_bot", "Submodule.nontrivial_span_singleton", "Submodule.norm_coe", "Submodule.norm_subtypeL_le", "Submodule.not_mem_of_ortho", "Submodule.one_eq_range", "Submodule.one_eq_span", "Submodule.one_eq_span_one_set", "Submodule.one_le", "Submodule.one_le_finrank_iff", "Submodule.one_le_one_div", "Submodule.one_le_traceDual_one", "Submodule.one_mul", "Submodule.orderIsoMapComap_symm_apply'", "Submodule.orthogonalBilin_le", "Submodule.orthogonalFamily_self", "Submodule.orthogonal_disjoint", "Submodule.orthogonal_eq_bot_iff", "Submodule.orthogonal_eq_inter", "Submodule.orthogonal_eq_top_iff", "Submodule.orthogonal_gc", "Submodule.orthogonal_orthogonal", "Submodule.orthogonal_orthogonal_eq_closure", "Submodule.orthogonal_orthogonal_monotone", "Submodule.piQuotientLift_mk", "Submodule.piQuotientLift_single", "Submodule.pi_mono", "Submodule.pi_top", "Submodule.pointed_toConvexCone", "Submodule.pow_eq_span_pow_set", "Submodule.pow_induction_on_left", "Submodule.pow_induction_on_left'", "Submodule.pow_induction_on_right", "Submodule.pow_induction_on_right'", "Submodule.pow_pOrder_smul", "Submodule.pow_toAddSubmonoid", "Submodule.prodComm_trans_prodEquivOfIsCompl", "Submodule.prodEquivOfIsCompl_symm_apply_fst_eq_zero", "Submodule.prodEquivOfIsCompl_symm_apply_snd_eq_zero", "Submodule.prod_bot", "Submodule.prod_coe", "Submodule.prod_eq_bot_iff", "Submodule.prod_eq_top_iff", "Submodule.prod_le_iff", "Submodule.prod_map_fst", "Submodule.prod_map_snd", "Submodule.prod_mono", "Submodule.prod_span", "Submodule.prod_sup_prod", "Submodule.prod_top", "Submodule.quotDualCoannihilatorToDual_apply", "Submodule.quotDualCoannihilatorToDual_nondegenerate", "Submodule.quotEquivOfEqBot_apply_mk", "Submodule.quotEquivOfEqBot_symm_apply", "Submodule.quotEquivOfEq_mk", "Submodule.quot_hom_ext", "Submodule.quotientEquivOfIsCompl_apply_mk_coe", "Submodule.quotientEquivOfIsCompl_symm_apply", "Submodule.quotientPi_aux.left_inv", "Submodule.quotientPi_aux.map_add", "Submodule.quotientPi_aux.map_smul", "Submodule.quotientPi_aux.right_inv", "Submodule.quotientQuotientEquivQuotientAux_mk", "Submodule.quotientQuotientEquivQuotientAux_mk_mk", "Submodule.quotientRel_r_def", "Submodule.rTensorOne'_tmul", "Submodule.rTensorOne_tmul", "Submodule.range_dualMap_mkQ_eq", "Submodule.range_fst", "Submodule.range_inclusion", "Submodule.range_ker_disjoint", "Submodule.range_liftQ", "Submodule.range_map_nonempty", "Submodule.range_mkQ", "Submodule.range_snd", "Submodule.range_subtype", "Submodule.rank_add_le_rank_add_rank", "Submodule.rank_eq_zero", "Submodule.rank_le_one_iff_isPrincipal", "Submodule.rank_sup_add_rank_inf_eq", "Submodule.restrictScalars_eq_bot_iff", "Submodule.restrictScalars_eq_top_iff", "Submodule.restrictScalars_inj", "Submodule.restrictScalars_mem", "Submodule.restrictScalars_mul", "Submodule.restrictScalars_self", "Submodule.restrictScalars_span", "Submodule.restrictScalars_top", "Submodule.sInf_le'", "Submodule.sInf_orthogonal", "Submodule.set_smul_bot", "Submodule.set_smul_eq_iSup", "Submodule.set_smul_eq_map", "Submodule.set_smul_eq_of_le", "Submodule.set_smul_inductionOn", "Submodule.set_smul_le", "Submodule.set_smul_le_of_le_le", "Submodule.set_smul_mono_left", "Submodule.set_smul_span", "Submodule.set_smul_top_eq_span", "Submodule.singleton_set_smul", "Submodule.singleton_smul", "Submodule.singleton_span_isCompactElement", "Submodule.smul_assoc", "Submodule.smul_bot", "Submodule.smul_coe_torsionBy", "Submodule.smul_comap_le_comap_smul", "Submodule.smul_induction_on", "Submodule.smul_induction_on'", "Submodule.smul_le", "Submodule.smul_le_of_le_smul_of_le_jacobson_bot", "Submodule.smul_le_right", "Submodule.smul_le_self_of_tower", "Submodule.smul_mem", "Submodule.smul_mem_iff", "Submodule.smul_mem_pointwise_smul", "Submodule.smul_mem_smul", "Submodule.smul_mem_span_smul", "Submodule.smul_mem_span_smul'", "Submodule.smul_mem_span_smul_of_mem", "Submodule.smul_mono", "Submodule.smul_mono_left", "Submodule.smul_of_tower_mem", "Submodule.smul_span", "Submodule.smul_sup", "Submodule.smul_sup'", "Submodule.smul_top_le_comap_smul_top", "Submodule.snd_map_fst", "Submodule.snd_map_snd", "Submodule.span_algebraMap_image", "Submodule.span_algebraMap_image_of_tower", "Submodule.span_attach_biUnion", "Submodule.span_closure", "Submodule.span_coe_eq_restrictScalars", "Submodule.span_empty", "Submodule.span_eq", "Submodule.span_eq_bot", "Submodule.span_eq_closure", "Submodule.span_eq_iSup_of_singleton_spans", "Submodule.span_eq_of_le", "Submodule.span_eq_span", "Submodule.span_iUnion", "Submodule.span_iUnion\u2082", "Submodule.span_image", "Submodule.span_image'", "Submodule.span_induction", "Submodule.span_induction'", "Submodule.span_insert", "Submodule.span_insert_eq_span", "Submodule.span_insert_zero", "Submodule.span_int_eq", "Submodule.span_int_eq_addSubgroup_closure", "Submodule.span_le", "Submodule.span_le_restrictScalars", "Submodule.span_mono", "Submodule.span_monotone", "Submodule.span_mul_span", "Submodule.span_nat_eq_addSubmonoid_closure", "Submodule.span_neg", "Submodule.span_pow", "Submodule.span_preimage_eq", "Submodule.span_preimage_le", "Submodule.span_prod_le", "Submodule.span_range_eq_iSup", "Submodule.span_range_natDegree_eq_adjoin", "Submodule.span_set_smul", "Submodule.span_singleton_eq_bot", "Submodule.span_singleton_eq_range", "Submodule.span_singleton_eq_span_singleton", "Submodule.span_singleton_eq_top_iff", "Submodule.span_singleton_group_smul_eq", "Submodule.span_singleton_le_iff_mem", "Submodule.span_singleton_mul", "Submodule.span_singleton_smul_eq", "Submodule.span_singleton_smul_le", "Submodule.span_smul", "Submodule.span_smul_eq_of_isUnit", "Submodule.span_smul_le", "Submodule.span_smul_of_span_eq_top", "Submodule.span_smul_span", "Submodule.span_span", "Submodule.span_span_coe_preimage", "Submodule.span_span_of_tower", "Submodule.span_union", "Submodule.span_univ", "Submodule.span_zero", "Submodule.span_zero_singleton", "Submodule.starConvex", "Submodule.sub_mem", "Submodule.sub_mem_iff_left", "Submodule.sub_mem_iff_right", "Submodule.sub_mem_orthogonal_of_inner_left", "Submodule.sub_mem_orthogonal_of_inner_right", "Submodule.sub_mem_sup", "Submodule.submodule_eq_sSup_le_nonzero_spans", "Submodule.subset_span", "Submodule.subsingleton_iff", "Submodule.subsingleton_iff_eq_bot", "Submodule.subsingleton_quotient_iff_eq_top", "Submodule.subtype_apply", "Submodule.subtype_comp_inclusion", "Submodule.subtype\u2097\u1d62_toContinuousLinearMap", "Submodule.subtype\u2097\u1d62_toLinearMap", "Submodule.sum_mem", "Submodule.sum_mem_biSup", "Submodule.sum_mem_iSup", "Submodule.sum_smul_mem", "Submodule.supIndep_torsionBy", "Submodule.supIndep_torsionBySet_ideal", "Submodule.sup_dualAnnihilator_le_inf", "Submodule.sup_eq_range", "Submodule.sup_eq_sup_smul_of_le_smul_of_le_jacobson", "Submodule.sup_orthogonal_inf_of_completeSpace", "Submodule.sup_orthogonal_of_completeSpace", "Submodule.sup_set_smul", "Submodule.sup_smul", "Submodule.sup_span", "Submodule.sup_toAddSubgroup", "Submodule.sup_toAddSubmonoid", "Submodule.symmetric_isOrtho", "Submodule.tmul_mem_baseChange_of_mem", "Submodule.toAddSubgroup_le", "Submodule.toAddSubgroup_mono", "Submodule.toAddSubgroup_toZModSubmodule", "Submodule.toAddSubmonoid_eq", "Submodule.toAddSubmonoid_injective", "Submodule.toAddSubmonoid_le", "Submodule.toAddSubmonoid_sSup", "Submodule.toAddSubmonoid_strictMono", "Submodule.toAddSubmonoid_toNatSubmodule", "Submodule.toAffineSubspace_direction", "Submodule.toConvexCone_bot", "Submodule.toConvexCone_le_iff", "Submodule.toLinearPMap_apply_aux", "Submodule.toLinearPMap_domain", "Submodule.toLinearPMap_graph_eq", "Submodule.toLinearPMap_range", "Submodule.toLocalizedQuotient'_mk", "Submodule.toNonUnitalSubalgebra_mk", "Submodule.toSubMulAction_eq", "Submodule.toSubMulAction_injective", "Submodule.toSubMulAction_mono", "Submodule.toSubMulAction_one", "Submodule.toSubMulAction_strictMono", "Submodule.toSubalgebra_mk", "Submodule.toSubalgebra_toSubmodule", "Submodule.top_coe", "Submodule.top_eq_ofList_cons_smul_iff", "Submodule.top_ne_ideal_smul_of_le_jacobson_annihilator", "Submodule.top_ne_set_smul_of_subset_jacobson_annihilator", "Submodule.top_orthogonal_eq_bot", "Submodule.top_smul", "Submodule.top_toAddSubgroup", "Submodule.topologicalClosure_coe", "Submodule.topologicalClosure_eq_top_iff", "Submodule.topologicalClosure_map", "Submodule.topologicalClosure_minimal", "Submodule.torsion'_isTorsion'", "Submodule.torsion'_torsion'_eq_top", "Submodule.torsionBySet.mk_smul", "Submodule.torsionBySet_eq_torsionBySet_span", "Submodule.torsionBySet_isInternal", "Submodule.torsionBySet_isTorsionBySet", "Submodule.torsionBySet_le_torsionBySet_of_subset", "Submodule.torsionBySet_singleton_eq", "Submodule.torsionBySet_span_singleton_eq", "Submodule.torsionBySet_univ", "Submodule.torsionBy_isInternal", "Submodule.torsionBy_le_torsionBy_of_dvd", "Submodule.torsionBy_one", "Submodule.torsion_gc", "Submodule.torsion_int", "Submodule.torsion_isTorsion", "Submodule.traceDual_bot", "Submodule.traceDual_top", "Submodule.traceDual_top'", "Submodule.triorthogonal_eq_orthogonal", "Submodule.unique_quotient_iff_eq_top", "Submodule.vadd_def", "Submodule.val_mulMap'_tmul", "Submodule.wcovBy_span_singleton_sup", "Submodule.zero_eq_bot", "Submodule.zero_mem", "SubmodulesBasis.nonarchimedean", "SubmodulesRingBasis.toRing_subgroups_basis", "SubmodulesRingBasis.toSubmodulesBasis", "Submonoid.FG.map", "Submonoid.FG.map_injective", "Submonoid.LocalizationMap.AwayMap.lift_comp", "Submonoid.LocalizationMap.epic_of_localizationMap", "Submonoid.LocalizationMap.eq", "Submonoid.LocalizationMap.eq'", "Submonoid.LocalizationMap.eq_iff_exists", "Submonoid.LocalizationMap.eq_of_eq", "Submonoid.LocalizationMap.exists_of_sec_mk'", "Submonoid.LocalizationMap.ext", "Submonoid.LocalizationMap.ext_iff", "Submonoid.LocalizationMap.inv_inj", "Submonoid.LocalizationMap.inv_unique", "Submonoid.LocalizationMap.lift_comp_lift", "Submonoid.LocalizationMap.lift_comp_lift_eq", "Submonoid.LocalizationMap.lift_id", "Submonoid.LocalizationMap.lift_injective_iff", "Submonoid.LocalizationMap.lift_left_inverse", "Submonoid.LocalizationMap.lift_mk'", "Submonoid.LocalizationMap.lift_mk'_spec", "Submonoid.LocalizationMap.lift_mul_left", "Submonoid.LocalizationMap.lift_mul_right", "Submonoid.LocalizationMap.lift_spec", "Submonoid.LocalizationMap.lift_spec_mul", "Submonoid.LocalizationMap.lift_surjective_iff", "Submonoid.LocalizationMap.lift_unique", "Submonoid.LocalizationMap.map_comp", "Submonoid.LocalizationMap.map_comp_map", "Submonoid.LocalizationMap.map_id", "Submonoid.LocalizationMap.map_injective_of_injective", "Submonoid.LocalizationMap.map_left_cancel", "Submonoid.LocalizationMap.map_map", "Submonoid.LocalizationMap.map_mk'", "Submonoid.LocalizationMap.map_mul_left", "Submonoid.LocalizationMap.map_mul_right", "Submonoid.LocalizationMap.map_right_cancel", "Submonoid.LocalizationMap.map_spec", "Submonoid.LocalizationMap.map_units", "Submonoid.LocalizationMap.mk'_cancel", "Submonoid.LocalizationMap.mk'_eq_iff_eq", "Submonoid.LocalizationMap.mk'_eq_iff_eq'", "Submonoid.LocalizationMap.mk'_eq_iff_eq_mul", "Submonoid.LocalizationMap.mk'_eq_of_eq'", "Submonoid.LocalizationMap.mk'_eq_of_same", "Submonoid.LocalizationMap.mk'_mul", "Submonoid.LocalizationMap.mk'_mul_cancel_left", "Submonoid.LocalizationMap.mk'_mul_cancel_right", "Submonoid.LocalizationMap.mk'_mul_eq_mk'_of_mul", "Submonoid.LocalizationMap.mk'_one", "Submonoid.LocalizationMap.mk'_sec", "Submonoid.LocalizationMap.mk'_self", "Submonoid.LocalizationMap.mk'_self'", "Submonoid.LocalizationMap.mk'_spec", "Submonoid.LocalizationMap.mk'_spec'", "Submonoid.LocalizationMap.mulEquivOfLocalizations_apply", "Submonoid.LocalizationMap.mulEquivOfLocalizations_left_inv_apply", "Submonoid.LocalizationMap.mulEquivOfLocalizations_right_inv", "Submonoid.LocalizationMap.mulEquivOfLocalizations_right_inv_apply", "Submonoid.LocalizationMap.mulEquivOfLocalizations_symm_eq_mulEquivOfLocalizations", "Submonoid.LocalizationMap.mulEquivOfMulEquiv_eq", "Submonoid.LocalizationMap.mulEquivOfMulEquiv_eq_map", "Submonoid.LocalizationMap.mulEquivOfMulEquiv_mk'", "Submonoid.LocalizationMap.mul_inv", "Submonoid.LocalizationMap.mul_inv_left", "Submonoid.LocalizationMap.mul_inv_right", "Submonoid.LocalizationMap.mul_mk'_eq_mk'_of_mul", "Submonoid.LocalizationMap.mul_mk'_one_eq_mk'", "Submonoid.LocalizationMap.ofMulEquivOfDom_apply", "Submonoid.LocalizationMap.ofMulEquivOfDom_comp", "Submonoid.LocalizationMap.ofMulEquivOfDom_comp_symm", "Submonoid.LocalizationMap.ofMulEquivOfDom_id", "Submonoid.LocalizationMap.ofMulEquivOfLocalizations_eq_iff_eq", "Submonoid.LocalizationMap.sec_spec", "Submonoid.LocalizationMap.sec_spec'", "Submonoid.LocalizationMap.sec_zero_fst", "Submonoid.LocalizationMap.subsingleton", "Submonoid.LocalizationMap.surj", "Submonoid.LocalizationMap.surj\u2082", "Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply", "Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply'", "Submonoid.LocalizationMap.toMap_injective", "Submonoid.LocalizationMap.toMap_injective_iff", "Submonoid.LocalizationWithZeroMap.isLeftRegular_of_le_isCancelMulZero", "Submonoid.LocalizationWithZeroMap.leftCancelMulZero_of_le_isLeftRegular", "Submonoid.adjoin_eq_span_of_eq_span", "Submonoid.apply_coe_mem_map", "Submonoid.bot_or_exists_ne_one", "Submonoid.bot_or_nontrivial", "Submonoid.bot_prod_bot", "Submonoid.card_bot", "Submonoid.card_le_one_iff_eq_bot", "Submonoid.center_le_centralizer", "Submonoid.center_toSubsemigroup", "Submonoid.centralizer_centralizer_centralizer", "Submonoid.centralizer_eq_top_iff_subset", "Submonoid.centralizer_le", "Submonoid.centralizer_toSubsemigroup", "Submonoid.centralizer_univ", "Submonoid.closure_closure_coe_preimage", "Submonoid.closure_eq_image_prod", "Submonoid.closure_eq_mrange", "Submonoid.closure_eq_one_union", "Submonoid.closure_iUnion", "Submonoid.closure_induction", "Submonoid.closure_induction'", "Submonoid.closure_induction_left", "Submonoid.closure_induction_right", "Submonoid.closure_induction\u2082", "Submonoid.closure_inv", "Submonoid.closure_le", "Submonoid.closure_mul_le", "Submonoid.closure_singleton_le_iff_mem", "Submonoid.closure_singleton_one", "Submonoid.coe_center", "Submonoid.coe_copy", "Submonoid.coe_equivMapOfInjective_apply", "Submonoid.coe_finset_prod", "Submonoid.coe_iInf", "Submonoid.coe_inv", "Submonoid.coe_list_prod", "Submonoid.coe_map", "Submonoid.coe_mul", "Submonoid.coe_mul_self_eq", "Submonoid.coe_multiset_prod", "Submonoid.coe_one", "Submonoid.coe_pointwise_smul", "Submonoid.coe_powers", "Submonoid.coe_prod", "Submonoid.coe_sInf", "Submonoid.coe_set_mk", "Submonoid.coe_subtype", "Submonoid.coe_top", "Submonoid.coe_topologicalClosure", "Submonoid.coe_val_mul_coe_inv_val", "Submonoid.comap_comap", "Submonoid.comap_iInf", "Submonoid.comap_iInf_map_of_injective", "Submonoid.comap_iSup_map_of_injective", "Submonoid.comap_injective_of_surjective", "Submonoid.comap_le_comap_iff_of_surjective", "Submonoid.comap_map_comap", "Submonoid.comap_strictMono_of_surjective", "Submonoid.comap_sup_map_of_injective", "Submonoid.comap_surjective_of_injective", "Submonoid.copy_eq", "Submonoid.dense_induction", "Submonoid.disjoint_def", "Submonoid.eq_bot_iff_forall", "Submonoid.eq_bot_of_card_eq", "Submonoid.eq_bot_of_subsingleton", "Submonoid.eq_top_iff'", "Submonoid.exists_list_of_mem_closure", "Submonoid.exists_multiset_of_mem_closure", "Submonoid.ext", "Submonoid.fromLeftInv_eq_iff", "Submonoid.fromLeftInv_eq_inv", "Submonoid.fromLeftInv_mul", "Submonoid.gc_map_comap", "Submonoid.iSup_eq_closure", "Submonoid.iSup_induction", "Submonoid.iSup_induction'", "Submonoid.induction_of_closure_eq_top_left", "Submonoid.induction_of_closure_eq_top_right", "Submonoid.inv_bot", "Submonoid.inv_iInf", "Submonoid.inv_iSup", "Submonoid.inv_le", "Submonoid.inv_mem_units", "Submonoid.inv_sup", "Submonoid.inv_val_mem_of_mem_units", "Submonoid.isSubmonoid", "Submonoid.le_centralizer_centralizer", "Submonoid.le_comap_map", "Submonoid.le_op_iff", "Submonoid.le_pointwise_smul_iff\u2080", "Submonoid.le_prod_iff", "Submonoid.leftInvEquiv_mul", "Submonoid.leftInvEquiv_symm_eq_inv", "Submonoid.leftInvEquiv_symm_fromLeftInv", "Submonoid.leftInvEquiv_symm_mul", "Submonoid.leftInv_le_isUnit", "Submonoid.leftInv_leftInv_eq", "Submonoid.leftInv_leftInv_le", "Submonoid.list_prod_mem", "Submonoid.log_mul", "Submonoid.log_pow_int_eq_self", "Submonoid.map_comap_eq_of_surjective", "Submonoid.map_comap_le", "Submonoid.map_comap_map", "Submonoid.map_equiv_eq_comap_symm", "Submonoid.map_iInf_comap_of_surjective", "Submonoid.map_iSup", "Submonoid.map_iSup_comap_of_surjective", "Submonoid.map_id", "Submonoid.map_inf_comap_of_surjective", "Submonoid.map_inl", "Submonoid.map_inr", "Submonoid.map_le_iff_le_comap", "Submonoid.map_le_of_le_comap", "Submonoid.map_map", "Submonoid.map_powers", "Submonoid.map_strictMono_of_injective", "Submonoid.map_sup", "Submonoid.map_sup_comap_of_surjective", "Submonoid.map_surjective_of_surjective", "Submonoid.mem_carrier", "Submonoid.mem_center_iff", "Submonoid.mem_closure", "Submonoid.mem_closure_inv", "Submonoid.mem_closure_pair", "Submonoid.mem_closure_singleton_self", "Submonoid.mem_iInf", "Submonoid.mem_iSup", "Submonoid.mem_iSup_of_directed", "Submonoid.mem_iSup_of_mem", "Submonoid.mem_inf", "Submonoid.mem_inv", "Submonoid.mem_inv_pointwise_smul_iff\u2080", "Submonoid.mem_map_iff_mem", "Submonoid.mem_mk", "Submonoid.mem_oneLE", "Submonoid.mem_pointwise_smul_iff_inv_smul_mem", "Submonoid.mem_powers", "Submonoid.mem_powers_iff", "Submonoid.mem_prod", "Submonoid.mem_sInf", "Submonoid.mem_sSup_of_directedOn", "Submonoid.mem_sSup_of_mem", "Submonoid.mem_sup", "Submonoid.mem_sup_left", "Submonoid.mem_sup_right", "Submonoid.mem_toSubsemigroup", "Submonoid.mem_units_iff", "Submonoid.mem_units_of_val_mem_inv_val_mem", "Submonoid.mem_unop", "Submonoid.mk_eq_one", "Submonoid.mk_inv_mul_mk_eq_one", "Submonoid.mk_mul_mk", "Submonoid.mk_smul", "Submonoid.monotone_comap", "Submonoid.monotone_map", "Submonoid.mrange_fst", "Submonoid.mrange_inl", "Submonoid.mrange_inl_sup_mrange_inr", "Submonoid.mrange_inr", "Submonoid.mrange_inr'", "Submonoid.mul_def", "Submonoid.mul_fromLeftInv", "Submonoid.mul_leftInvEquiv", "Submonoid.mul_leftInvEquiv_symm", "Submonoid.mul_mem", "Submonoid.multiset_noncommProd_mem", "Submonoid.multiset_prod_mem", "Submonoid.noncommProd_mem", "Submonoid.nontrivial_iff", "Submonoid.nontrivial_iff_exists_ne_one", "Submonoid.ofUnits_units_le", "Submonoid.one_def", "Submonoid.one_mem", "Submonoid.op_closure", "Submonoid.op_iInf", "Submonoid.op_iSup", "Submonoid.op_le_iff", "Submonoid.op_le_op_iff", "Submonoid.op_sInf", "Submonoid.op_sSup", "Submonoid.op_sup", "Submonoid.op_top", "Submonoid.op_unop", "Submonoid.orderOf_le_card", "Submonoid.pointwise_isCentralScalar", "Submonoid.pointwise_smul_le_pointwise_smul_iff", "Submonoid.pointwise_smul_le_pointwise_smul_iff\u2080", "Submonoid.pointwise_smul_subset_iff", "Submonoid.pow_apply", "Submonoid.pow_exponent_eq_one", "Submonoid.pow_log_eq_self", "Submonoid.pow_smul_mem_closure_smul", "Submonoid.powers_eq_closure", "Submonoid.powers_le", "Submonoid.prod_bot_sup_bot_prod", "Submonoid.prod_eq_bot_iff", "Submonoid.prod_eq_top_iff", "Submonoid.prod_le_iff", "Submonoid.prod_mono", "Submonoid.prod_top", "Submonoid.smul_bot", "Submonoid.smul_closure", "Submonoid.smul_def", "Submonoid.subsemiringClosure_coe", "Submonoid.subsemiringClosure_eq_closure", "Submonoid.subsemiringClosure_toAddSubmonoid", "Submonoid.subset_closure", "Submonoid.subset_pointwise_smul_iff", "Submonoid.subsingleton_iff", "Submonoid.sup_eq_closure", "Submonoid.sup_eq_closure_mul", "Submonoid.sup_eq_range", "Submonoid.toAddSubmonoid'_closure", "Submonoid.toAddSubmonoid_closure", "Submonoid.topEquiv_toMonoidHom", "Submonoid.top_closure_mul_self_eq", "Submonoid.top_closure_mul_self_subset", "Submonoid.top_prod_top", "Submonoid.unit_mem_leftInv", "Submonoid.units_bot", "Submonoid.units_iInf", "Submonoid.units_iInf\u2082", "Submonoid.units_inf", "Submonoid.units_left_inverse", "Submonoid.units_mono", "Submonoid.units_sInf", "Submonoid.units_surjective", "Submonoid.units_top", "Submonoid.unop_bot", "Submonoid.unop_closure", "Submonoid.unop_iSup", "Submonoid.unop_inf", "Submonoid.unop_le_unop_iff", "Submonoid.unop_sInf", "Submonoid.unop_sSup", "Submonoid.unop_sup", "Submonoid.unop_top", "Submonoid.val_mem_of_mem_units", "SubmonoidClass.coe_multiset_prod", "SubmonoidClass.coe_pow", "SubmonoidClass.coe_subtype", "SubmonoidClass.finsupp_prod_mem", "SubmonoidClass.mk_pow", "SubmonoidClass.swap_mem_trans", "Subrel.relEmbedding_apply", "Subrelation.isWellFounded", "Subring.InClosure.recOn", "Subring.add_mem", "Subring.card_top", "Subring.center.coe_div", "Subring.center_le_centralizer", "Subring.center_toSubsemiring", "Subring.centralizer_toSubmonoid", "Subring.closure_empty", "Subring.closure_eq", "Subring.closure_eq_of_le", "Subring.closure_induction", "Subring.closure_induction'", "Subring.closure_induction\u2082", "Subring.closure_preimage_le", "Subring.closure_univ", "Subring.coeSubtype", "Subring.coe_add", "Subring.coe_bot", "Subring.coe_center", "Subring.coe_centralizer", "Subring.coe_comap", "Subring.coe_copy", "Subring.coe_eq_zero_iff", "Subring.coe_equivMapOfInjective_apply", "Subring.coe_iInf", "Subring.coe_inf", "Subring.coe_map", "Subring.coe_mul", "Subring.coe_natCast", "Subring.coe_pointwise_smul", "Subring.coe_pow", "Subring.coe_prod", "Subring.coe_sInf", "Subring.coe_toAddSubgroup", "Subring.coe_toSubmonoid", "Subring.coe_toSubsemiring", "Subring.coe_top", "Subring.comap_comap", "Subring.comap_equiv_eq_map_symm", "Subring.copy_eq", "Subring.exists_list_of_mem_closure", "Subring.ext", "Subring.isClosed_topologicalClosure", "Subring.le_op_iff", "Subring.le_pointwise_smul_iff\u2080", "Subring.le_topologicalClosure", "Subring.list_prod_mem", "Subring.list_sum_mem", "Subring.map_bot", "Subring.map_iSup", "Subring.map_id", "Subring.map_sup", "Subring.mem_bot", "Subring.mem_carrier", "Subring.mem_center_iff", "Subring.mem_closure", "Subring.mem_closure_iff", "Subring.mem_iInf", "Subring.mem_iSup_of_directed", "Subring.mem_inf", "Subring.mem_inv_pointwise_smul_iff\u2080", "Subring.mem_map", "Subring.mem_map_equiv", "Subring.mem_mk", "Subring.mem_mk'", "Subring.mem_pointwise_smul_iff_inv_smul_mem", "Subring.mem_sInf", "Subring.mem_sSup_of_directedOn", "Subring.mem_smul_pointwise_iff_exists", "Subring.mem_toSubsemiring", "Subring.mem_top", "Subring.mem_unop", "Subring.mk'_toAddSubgroup", "Subring.mk'_toSubmonoid", "Subring.mk_le_mk", "Subring.multiset_sum_mem", "Subring.neg_mem", "Subring.not_mem_of_not_mem_closure", "Subring.op_bot", "Subring.op_closure", "Subring.op_iInf", "Subring.op_inf", "Subring.op_le_op_iff", "Subring.op_top", "Subring.op_unop", "Subring.pointwise_smul_le_iff\u2080", "Subring.pointwise_smul_le_pointwise_smul_iff", "Subring.pointwise_smul_subset_iff", "Subring.pointwise_smul_toAddSubgroup", "Subring.pointwise_smul_toSubsemiring", "Subring.pow_mem", "Subring.prod_bot_sup_bot_prod", "Subring.prod_mem", "Subring.prod_mono", "Subring.prod_mono_left", "Subring.prod_mono_right", "Subring.prod_top", "Subring.range_snd", "Subring.range_subtype", "Subring.sInf_toAddSubgroup", "Subring.smul_bot", "Subring.smul_def", "Subring.smul_mem_pointwise_smul", "Subring.smul_mem_pointwise_smul_iff", "Subring.smul_mem_pointwise_smul_iff\u2080", "Subring.smul_sup", "Subring.sub_mem", "Subring.subset_pointwise_smul_iff", "Subring.sum_mem", "Subring.toAddSubgroup_mono", "Subring.toAddSubgroup_strictMono", "Subring.toNonUnitalSubring_toSubring", "Subring.toSubmonoid_injective", "Subring.toSubmonoid_mono", "Subring.toSubmonoid_strictMono", "Subring.toSubsemiring_injective", "Subring.toSubsemiring_mono", "Subring.top_prod", "Subring.top_prod_top", "Subring.topologicalClosure_minimal", "Subring.unop_bot", "Subring.unop_closure", "Subring.unop_iInf", "Subring.unop_iSup", "Subring.unop_inf", "Subring.unop_le_unop_iff", "Subring.unop_sInf", "Subring.unop_top", "Subring.zero_mem", "SubringClass.coeSubtype", "SubringClass.coe_intCast", "Subsemigroup.apply_coe_mem_map", "Subsemigroup.bot_prod_bot", "Subsemigroup.center_eq_top", "Subsemigroup.center_le_centralizer", "Subsemigroup.centralizer_eq_top_iff_subset", "Subsemigroup.centralizer_le", "Subsemigroup.centralizer_univ", "Subsemigroup.closure_empty", "Subsemigroup.closure_eq", "Subsemigroup.closure_induction'", "Subsemigroup.closure_induction\u2082", "Subsemigroup.closure_singleton_le_iff_mem", "Subsemigroup.closure_univ", "Subsemigroup.coe_bot", "Subsemigroup.coe_copy", "Subsemigroup.coe_equivMapOfInjective_apply", "Subsemigroup.coe_iInf", "Subsemigroup.coe_iSup_of_directed", "Subsemigroup.coe_inf", "Subsemigroup.coe_map", "Subsemigroup.coe_prod", "Subsemigroup.coe_sSup_of_directed_on", "Subsemigroup.coe_set_mk", "Subsemigroup.comap_equiv_eq_map_symm", "Subsemigroup.comap_iInf", "Subsemigroup.comap_iInf_map_of_injective", "Subsemigroup.comap_id", "Subsemigroup.comap_inf", "Subsemigroup.comap_strictMono_of_surjective", "Subsemigroup.comap_sup_map_of_injective", "Subsemigroup.comap_surjective_of_injective", "Subsemigroup.comap_top", "Subsemigroup.copy_eq", "Subsemigroup.ext", "Subsemigroup.gc_map_comap", "Subsemigroup.iSup_eq_closure", "Subsemigroup.iSup_induction", "Subsemigroup.iSup_induction'", "Subsemigroup.le_comap_map", "Subsemigroup.le_comap_of_map_le", "Subsemigroup.le_prod_iff", "Subsemigroup.map_equiv_eq_comap_symm", "Subsemigroup.map_equiv_top", "Subsemigroup.map_iInf_comap_of_surjective", "Subsemigroup.map_iSup", "Subsemigroup.map_iSup_comap_of_surjective", "Subsemigroup.map_inf_comap_of_surjective", "Subsemigroup.map_injective_of_injective", "Subsemigroup.map_le_of_le_comap", "Subsemigroup.map_map", "Subsemigroup.map_strictMono_of_injective", "Subsemigroup.map_sup", "Subsemigroup.map_sup_comap_of_surjective", "Subsemigroup.map_surjective_of_surjective", "Subsemigroup.mem_carrier", "Subsemigroup.mem_center_iff", "Subsemigroup.mem_centralizer_iff", "Subsemigroup.mem_closure", "Subsemigroup.mem_comap", "Subsemigroup.mem_iInf", "Subsemigroup.mem_iSup", "Subsemigroup.mem_iSup_of_directed", "Subsemigroup.mem_iSup_of_mem", "Subsemigroup.mem_inf", "Subsemigroup.mem_map", "Subsemigroup.mem_map_iff_mem", "Subsemigroup.mem_map_of_mem", "Subsemigroup.mem_prod", "Subsemigroup.mem_sSup_of_directed_on", "Subsemigroup.mem_sSup_of_mem", "Subsemigroup.mem_sup_right", "Subsemigroup.mem_top", "Subsemigroup.mk_le_mk", "Subsemigroup.monotone_comap", "Subsemigroup.monotone_map", "Subsemigroup.mul_mem", "Subsemigroup.mul_mem_sup", "Subsemigroup.nonUnitalSubsemiringClosure_eq_closure", "Subsemigroup.not_mem_of_not_mem_closure", "Subsemigroup.prod_eq_top_iff", "Subsemigroup.prod_mono", "Subsemigroup.prod_top", "Subsemigroup.range_subtype", "Subsemigroup.srange_snd", "Subsemigroup.subsingleton_of_subsingleton", "Subsemigroup.toAddSubsemigroup'_closure", "Subsemigroup.toAddSubsemigroup_closure", "Subsemigroup.topEquiv_toMulHom", "Subsemigroup.top_prod", "Subsemiring.add_mem", "Subsemiring.center_eq_top", "Subsemiring.center_le_centralizer", "Subsemiring.center_toSubmonoid", "Subsemiring.centralizer_centralizer_centralizer", "Subsemiring.centralizer_eq_top_iff_subset", "Subsemiring.centralizer_le", "Subsemiring.centralizer_univ", "Subsemiring.closure_addSubmonoid_closure", "Subsemiring.closure_empty", "Subsemiring.closure_eq", "Subsemiring.closure_iUnion", "Subsemiring.closure_induction", "Subsemiring.closure_induction'", "Subsemiring.closure_mono", "Subsemiring.closure_union", "Subsemiring.coe_add", "Subsemiring.coe_carrier_toSubmonoid", "Subsemiring.coe_center", "Subsemiring.coe_centralizer", "Subsemiring.coe_comap", "Subsemiring.coe_equivMapOfInjective_apply", "Subsemiring.coe_iSup_of_directed", "Subsemiring.coe_inf", "Subsemiring.coe_pointwise_smul", "Subsemiring.coe_pow", "Subsemiring.coe_prod", "Subsemiring.coe_sInf", "Subsemiring.coe_sSup_of_directedOn", "Subsemiring.coe_toAddSubmonoid", "Subsemiring.coe_toSubmonoid", "Subsemiring.coe_top", "Subsemiring.coe_zero", "Subsemiring.comap_comap", "Subsemiring.comap_equiv_eq_map_symm", "Subsemiring.comap_iInf", "Subsemiring.comap_inf", "Subsemiring.comap_top", "Subsemiring.copy_eq", "Subsemiring.ext", "Subsemiring.gc_map_comap", "Subsemiring.isClosed_topologicalClosure", "Subsemiring.le_topologicalClosure", "Subsemiring.list_sum_mem", "Subsemiring.map_equiv_eq_comap_symm", "Subsemiring.map_iSup", "Subsemiring.map_id", "Subsemiring.map_sup", "Subsemiring.mem_carrier", "Subsemiring.mem_center_iff", "Subsemiring.mem_centralizer_iff", "Subsemiring.mem_closure_iff_exists_list", "Subsemiring.mem_comap", "Subsemiring.mem_iSup_of_directed", "Subsemiring.mem_inf", "Subsemiring.mem_inv_pointwise_smul_iff", "Subsemiring.mem_map", "Subsemiring.mem_map_equiv", "Subsemiring.mem_op", "Subsemiring.mem_prod", "Subsemiring.mem_sSup_of_directedOn", "Subsemiring.mem_toAddSubmonoid", "Subsemiring.mem_top", "Subsemiring.mem_unop", "Subsemiring.mk'_toSubmonoid", "Subsemiring.mul_mem", "Subsemiring.multiset_prod_mem", "Subsemiring.multiset_sum_mem", "Subsemiring.not_mem_of_not_mem_closure", "Subsemiring.nsmul_mem", "Subsemiring.one_mem", "Subsemiring.op_bot", "Subsemiring.op_closure", "Subsemiring.op_coe", "Subsemiring.op_iSup", "Subsemiring.op_le_op_iff", "Subsemiring.op_sInf", "Subsemiring.op_sSup", "Subsemiring.op_sup", "Subsemiring.op_top", "Subsemiring.op_unop", "Subsemiring.pointwise_smul_subset_iff", "Subsemiring.pointwise_smul_toAddSubmonoid", "Subsemiring.pow_mem", "Subsemiring.prod_bot_sup_bot_prod", "Subsemiring.prod_mono_left", "Subsemiring.prod_mono_right", "Subsemiring.prod_top", "Subsemiring.rangeS_subtype", "Subsemiring.range_fst", "Subsemiring.sInf_toSubmonoid", "Subsemiring.smul_def", "Subsemiring.smul_sup", "Subsemiring.subset_closure", "Subsemiring.sum_mem", "Subsemiring.toAddSubmonoid_mono", "Subsemiring.toAddSubmonoid_strictMono", "Subsemiring.toNonUnitalSubsemiring_toSubsemiring", "Subsemiring.toSubmonoid_injective", "Subsemiring.toSubmonoid_mono", "Subsemiring.top_prod", "Subsemiring.topologicalClosure_coe", "Subsemiring.topologicalClosure_minimal", "Subsemiring.unop_bot", "Subsemiring.unop_closure", "Subsemiring.unop_coe", "Subsemiring.unop_iInf", "Subsemiring.unop_inf", "Subsemiring.unop_le_unop_iff", "Subsemiring.unop_op", "Subsemiring.unop_sup", "Subsemiring.unop_top", "Subsemiring.zero_mem", "Subsingleton.antitone", "Subsingleton.antivary", "Subsingleton.antivaryOn", "Subsingleton.conformalAt", "Subsingleton.convexIndependent", "Subsingleton.elim", "Subsingleton.eq_one", "Subsingleton.eq_univ_of_nonempty", "Subsingleton.isBot", "Subsingleton.isMax", "Subsingleton.isTop", "Subsingleton.le", "Subsingleton.measurable", "Subsingleton.measurableSet", "Subsingleton.mem_iff_nonempty", "Subsingleton.monotone", "Subsingleton.monotone'", "Subsingleton.monovary", "Subsingleton.monovaryOn", "Subsingleton.of_oneHomClass", "Subsingleton.pairwise", "Subsingleton.pi_mulSingle_eq", "Subsingleton.set_cases", "Subsingleton.strictAnti", "Subspace.comap_dualAnnihilator_dualAnnihilator", "Subspace.dualAnnihilator_dualAnnihilator_eq", "Subspace.dualAnnihilator_dualAnnihilator_eq_map", "Subspace.dualAnnihilator_dualCoannihilator_eq", "Subspace.dualAnnihilator_iInf_eq", "Subspace.dualAnnihilator_inf_eq", "Subspace.dualAnnihilator_inj", "Subspace.dualAnnihilator_le_dualAnnihilator_iff", "Subspace.dualCoannihilator_top", "Subspace.dualCopairing_nondegenerate", "Subspace.dualEquivDual_apply", "Subspace.dualEquivDual_def", "Subspace.dualLift_injective", "Subspace.dualLift_of_mem", "Subspace.dualLift_of_subtype", "Subspace.dualPairing_nondegenerate", "Subspace.dualRestrict_comp_dualLift", "Subspace.dualRestrict_leftInverse", "Subspace.dualRestrict_surjective", "Subspace.dual_finrank_eq", "Subspace.finrank_add_finrank_dualCoannihilator_eq", "Subspace.finrank_dualCoannihilator_eq", "Subspace.flip_quotDualCoannihilatorToDual_bijective", "Subspace.forall_mem_dualAnnihilator_apply_eq_zero_iff", "Subspace.isCompl_dualAnnihilator", "Subspace.map_le_dualAnnihilator_dualAnnihilator", "Subspace.quotAnnihilatorEquiv_apply", "Subspace.quotDualCoannihilatorToDual_bijective", "Substring.Valid.all", "Substring.Valid.atEnd", "Substring.Valid.contains", "Substring.Valid.data_drop", "Substring.Valid.dropWhile", "Substring.Valid.extract", "Substring.Valid.front", "Substring.Valid.get", "Substring.Valid.next_stop", "Substring.Valid.nextn", "Substring.Valid.nextn_stop", "Substring.Valid.prev", "Substring.Valid.toString_extract", "Substring.Valid.validFor", "Substring.ValidFor.any", "Substring.ValidFor.atEnd", "Substring.ValidFor.bsize", "Substring.ValidFor.drop", "Substring.ValidFor.dropWhile", "Substring.ValidFor.extract", "Substring.ValidFor.foldl", "Substring.ValidFor.foldr", "Substring.ValidFor.front", "Substring.ValidFor.get", "Substring.ValidFor.isEmpty", "Substring.ValidFor.next", "Substring.ValidFor.nextn", "Substring.ValidFor.nextn_stop", "Substring.ValidFor.prev", "Substring.ValidFor.prevn", "Substring.ValidFor.startPos", "Substring.ValidFor.stopPos", "Substring.ValidFor.str", "Substring.ValidFor.take", "Substring.ValidFor.takeWhile", "Substring.ValidFor.toIterator", "Substring.ValidFor.toString", "Substring.ValidFor.valid", "Substring.Valid_default", "Subtype.coe_bot", "Subtype.coe_eq_bot_iff", "Subtype.coe_eq_iff", "Subtype.coe_eq_of_eq_mk", "Subtype.coe_eta", "Subtype.coe_image_of_subset", "Subtype.coe_image_subset", "Subtype.coe_inj", "Subtype.coe_injective", "Subtype.coe_le_coe", "Subtype.coe_lt_coe", "Subtype.coe_mk", "Subtype.coe_ne_coe", "Subtype.coe_preimage_self", "Subtype.coe_prop", "Subtype.coe_sup", "Subtype.coe_top", "Subtype.coind_bijective", "Subtype.coind_injective", "Subtype.connectedSpace", "Subtype.dense_iff", "Subtype.edist_eq", "Subtype.eq", "Subtype.equiv_iff", "Subtype.equivalence", "Subtype.exists", "Subtype.exists'", "Subtype.exists_pi_extension", "Subtype.exists_set_subtype", "Subtype.ext", "Subtype.ext_iff", "Subtype.ext_iff_val", "Subtype.ext_val", "Subtype.forall", "Subtype.forall'", "Subtype.forall_set_subtype", "Subtype.heq_iff_coe_heq", "Subtype.image_preimage_coe", "Subtype.image_preimage_val", "Subtype.irreducibleSpace", "Subtype.isCompact_iff", "Subtype.isEmpty_of_false", "Subtype.isLindelof_iff", "Subtype.map_def", "Subtype.map_id", "Subtype.map_injective", "Subtype.map_involutive", "Subtype.mem", "Subtype.mk_eq_bot_iff", "Subtype.mk_eq_mk", "Subtype.mk_eq_top_iff", "Subtype.mk_le_mk", "Subtype.mk_lt_mk", "Subtype.mk_sup_mk", "Subtype.nndist_eq", "Subtype.nontrivial_iff_exists_ne", "Subtype.preconnectedSpace", "Subtype.preimage_coe_eq_preimage_coe_iff", "Subtype.preimage_coe_inter_self", "Subtype.preimage_coe_nonempty", "Subtype.preimage_coe_self_inter", "Subtype.preimage_val_eq_preimage_val_iff", "Subtype.preirreducibleSpace", "Subtype.prop", "Subtype.range_coe", "Subtype.range_coe_subtype", "Subtype.range_val", "Subtype.restrict_apply", "Subtype.restrict_injective", "Subtype.surjective_restrict", "Subtype.symm", "Subtype.val_inj", "Subtype.val_injective", "Subtype.val_prop", "Succ.rec", "Succ.rec_bot", "Succ.rec_iff", "Succ.rec_linear", "SuccOrder.forall_ne_bot_iff", "SuccOrder.limitRecOn_limit", "SuccOrder.limitRecOn_succ", "Sum.Icc_inl_inl", "Sum.Icc_inl_inr", "Sum.Ico_inl_inl", "Sum.Ico_inl_inr", "Sum.Ico_inr_inr", "Sum.Ioc_inl_inr", "Sum.Ioc_inr_inl", "Sum.Ioc_inr_inr", "Sum.Ioo_inl_inl", "Sum.Ioo_inl_inr", "Sum.Ioo_inr_inl", "Sum.Lex.Icc_inl_inr", "Sum.Lex.Icc_inr_inl", "Sum.Lex.Icc_inr_inr", "Sum.Lex.Ico_inr_inl", "Sum.Lex.Ico_inr_inr", "Sum.Lex.Ioc_inl_inl", "Sum.Lex.Ioc_inl_inr", "Sum.Lex.Ioc_inr_inl", "Sum.Lex.Ioc_inr_inr", "Sum.Lex.Ioo_inl_inl", "Sum.Lex.Ioo_inl_inr", "Sum.Lex.Ioo_inr_inr", "Sum.Lex.inl_bot", "Sum.Lex.inl_le_inl_iff", "Sum.Lex.inl_lt_inr", "Sum.Lex.inl_mono", "Sum.Lex.inl_strictMono", "Sum.Lex.inr_inf", "Sum.Lex.inr_le_inr_iff", "Sum.Lex.inr_mono", "Sum.Lex.inr_sup", "Sum.Lex.inr_top", "Sum.Lex.le_def", "Sum.Lex.lt_def", "Sum.Lex.mono", "Sum.Lex.mono_right", "Sum.Lex.not_inr_le_inl", "Sum.Lex.not_inr_lt_inl", "Sum.Lex.toLex_le_toLex", "Sum.Lex.toLex_lt_toLex", "Sum.LiftRel.exists_of_isLeft_left", "Sum.LiftRel.exists_of_isRight_left", "Sum.LiftRel.isLeft_congr", "Sum.LiftRel.isLeft_left", "Sum.LiftRel.isLeft_right", "Sum.LiftRel.isRight_congr", "Sum.LiftRel.isRight_left", "Sum.LiftRel.lex", "Sum.LiftRel.mono", "Sum.LiftRel.mono_left", "Sum.LiftRel.mono_right", "Sum.LiftRel.swap", "Sum.comp_elim", "Sum.const_le_elim_iff", "Sum.denselyOrdered_iff", "Sum.elim_comp_inl", "Sum.elim_comp_inl_inr", "Sum.elim_comp_inr", "Sum.elim_const_const", "Sum.elim_div_div", "Sum.elim_inl", "Sum.elim_inl_inr", "Sum.elim_inr", "Sum.elim_intCast_intCast", "Sum.elim_inv_inv", "Sum.elim_lam_const_lam_const", "Sum.elim_le_const_iff", "Sum.elim_le_elim_iff", "Sum.elim_map", "Sum.elim_mulSingle_one", "Sum.elim_natCast_natCast", "Sum.elim_one_mulSingle", "Sum.elim_one_one", "Sum.elim_update_left", "Sum.elim_update_right", "Sum.eq_left_getLeft_of_isLeft", "Sum.eq_right_getRight_of_isRight", "Sum.exists", "Sum.exists_sum", "Sum.forall", "Sum.forall_sum", "Sum.getLeft?_eq_none_iff", "Sum.getLeft?_eq_some_iff", "Sum.getLeft?_inl", "Sum.getLeft_eq_iff", "Sum.getLeft_inl", "Sum.getRight?_eq_none_iff", "Sum.getRight?_eq_some_iff", "Sum.getRight?_inl", "Sum.getRight?_inr", "Sum.getRight?_map", "Sum.getRight?_swap", "Sum.getRight_eq_getRight?", "Sum.getRight_eq_iff", "Sum.getRight_inr", "Sum.id_traverse", "Sum.inl.inj_iff", "Sum.inl_getLeft", "Sum.inl_injective", "Sum.inl_le_inl_iff", "Sum.inl_lt_inl_iff", "Sum.inl_mono", "Sum.inl_ne_inr", "Sum.inl_strictMono", "Sum.inr.inj_iff", "Sum.inr_injective", "Sum.inr_lt_inr_iff", "Sum.inr_mono", "Sum.inr_ne_inl", "Sum.inr_strictMono", "Sum.isConnected_iff", "Sum.isLeft_inl", "Sum.isLeft_map", "Sum.isLeft_swap", "Sum.isPreconnected_iff", "Sum.isRight_iff", "Sum.isRight_inl", "Sum.isRight_swap", "Sum.isSome_getLeft?_iff_isLeft", "Sum.lex_acc_inl", "Sum.lex_acc_inr", "Sum.lex_inl_inl", "Sum.lex_inr_inl", "Sum.lex_inr_inr", "Sum.lex_wf", "Sum.liftRel_inl_inl", "Sum.liftRel_inr_inr", "Sum.liftRel_subrelation_lex", "Sum.map_bijective", "Sum.map_comp_map", "Sum.map_id_id", "Sum.map_injective", "Sum.map_inl", "Sum.map_inr", "Sum.map_surjective", "Sum.map_traverse", "Sum.naturality", "Sum.noMaxOrder_iff", "Sum.noMinOrder_iff", "Sum.not_inl_le_inr", "Sum.not_inl_lt_inr", "Sum.not_isRight", "Sum.not_liftRel_inl_inr", "Sum.range_eq", "Sum.smul_inr", "Sum.smul_swap", "Sum.swap_inl", "Sum.swap_inr", "Sum.swap_leftInverse", "Sum.swap_rightInverse", "Sum.traverse_eq_map_id", "Sum.traverse_map", "Sum.update_elim_inl", "Sum.update_elim_inr", "Sum.update_inl_apply_inl", "Sum.update_inr_apply_inl", "Sum.update_inr_apply_inr", "Sum.update_inr_comp_inr", "Summable.const_smul", "Summable.countable_support_ennreal", "Summable.countable_support_nnreal", "Summable.div_const", "Summable.matrix_blockDiag", "Summable.matrix_blockDiag'", "Summable.matrix_blockDiagonal", "Summable.matrix_blockDiagonal'", "Summable.matrix_conjTranspose", "Summable.matrix_diag", "Summable.matrix_transpose", "Summable.mul_left", "Summable.mul_norm", "Summable.mul_of_nonneg", "Summable.mul_right", "Summable.norm_lt_one", "Summable.ofStar", "Summable.of_nnnorm_bounded", "Summable.of_nonneg_of_le", "Summable.of_norm", "Summable.of_norm_bounded", "Summable.of_norm_bounded_eventually", "Summable.tendsto_atTop_of_pos", "Summable.toCompl_tsum", "Summable.toNNReal", "Summable.tsum_mul_left", "Summable.tsum_mul_right", "SupBotHom.bot_apply", "SupBotHom.cancel_left", "SupBotHom.cancel_right", "SupBotHom.coe_bot", "SupBotHom.coe_comp", "SupBotHom.coe_id", "SupBotHom.coe_sup", "SupBotHom.coe_toBotHom", "SupBotHom.coe_toSupHom", "SupBotHom.comp_assoc", "SupBotHom.comp_id", "SupBotHom.dual_comp", "SupBotHom.dual_id", "SupBotHom.ext", "SupBotHom.id_apply", "SupBotHom.id_comp", "SupBotHom.sup_apply", "SupBotHom.symm_dual_id", "SupClosed.finsetSup_mem", "SupClosed.image", "SupClosed.infClosure", "SupClosed.inter", "SupClosed.preimage", "SupHom.bot_apply", "SupHom.coe_sup", "SupHom.coe_top", "SupHom.comp_assoc", "SupHom.comp_id", "SupHom.copy_eq", "SupHom.dual_comp", "SupHom.id_comp", "SupHom.sup_apply", "SupHom.symm_dual_comp", "SupHom.symm_dual_id", "SupHom.toFun_eq_coe", "SupHom.top_apply", "SupHom.withBot_comp", "SupHom.withBot_id", "SupHom.withTop_comp", "SupIrred.finset_sup_eq", "SupIrred.ne_bot", "SupIrred.not_isMin", "SupPrime.le_finset_sup", "SupPrime.le_sup", "Surreal.Multiplication.Args.numeric_P1", "Surreal.Multiplication.Args.numeric_P24", "Surreal.Multiplication.ArgsRel.numeric_closed", "Surreal.Multiplication.P1_of_eq", "Surreal.Multiplication.P1_of_ih", "Surreal.Multiplication.P1_of_lt", "Surreal.Multiplication.P24_neg_left", "Surreal.Multiplication.P24_neg_right", "Surreal.Multiplication.P2_neg_left", "Surreal.Multiplication.P2_neg_right", "Surreal.Multiplication.P3.trans", "Surreal.Multiplication.P3_comm", "Surreal.Multiplication.P3_neg", "Surreal.Multiplication.P3_of_le_left", "Surreal.Multiplication.P3_of_lt", "Surreal.Multiplication.P4_neg_left", "Surreal.Multiplication.P4_neg_right", "Surreal.Multiplication.argsRel_wf", "Surreal.Multiplication.ih1", "Surreal.Multiplication.ih1_neg_right", "Surreal.Multiplication.ih1_swap", "Surreal.Multiplication.ih24_neg", "Surreal.Multiplication.ih4", "Surreal.Multiplication.ih4_neg", "Surreal.Multiplication.ih\u2081\u2082", "Surreal.Multiplication.ih\u2082\u2081", "Surreal.Multiplication.main", "Surreal.Multiplication.mulOption_lt", "Surreal.Multiplication.mulOption_lt_iff_P1", "Surreal.Multiplication.mulOption_lt_mul_iff_P3", "Surreal.Multiplication.mulOption_lt_mul_of_equiv", "Surreal.Multiplication.mulOption_lt_of_lt", "Surreal.Multiplication.mulOptionsLTMul_of_numeric", "Surreal.Multiplication.mul_right_le_of_equiv", "Surreal.Multiplication.numeric_mul_option", "Surreal.Multiplication.numeric_of_ih", "Surreal.Multiplication.numeric_option_mul", "Surreal.Multiplication.numeric_option_mul_option", "Surreal.bddAbove_of_small", "Surreal.bddAbove_range_of_small", "Surreal.bddBelow_of_small", "Surreal.bddBelow_range_of_small", "Surreal.dyadicMap_apply", "Surreal.dyadicMap_apply_pow", "Surreal.dyadicMap_apply_pow'", "Surreal.dyadic_aux", "Surreal.nsmul_pow_two_powHalf", "Surreal.nsmul_pow_two_powHalf'", "Surreal.powHalf_zero", "Surreal.zero_toGame", "Surreal.zsmul_pow_two_powHalf", "Sylow.card_eq_multiplicity", "Sylow.card_normalizer_modEq_card", "Sylow.card_quotient_normalizer_modEq_card_quotient", "Sylow.characteristic_of_normal", "Sylow.coe_comapOfInjective", "Sylow.coe_comapOfKerIsPGroup", "Sylow.coe_ofCard", "Sylow.coe_subtype", "Sylow.conj_eq_normalizer_conj_of_mem", "Sylow.conj_eq_normalizer_conj_of_mem_centralizer", "Sylow.dvd_card_of_dvd_card", "Sylow.exists_comap_eq_of_injective", "Sylow.exists_comap_eq_of_ker_isPGroup", "Sylow.exists_comap_subtype_eq", "Sylow.exists_subgroup_card_pow_prime", "Sylow.exists_subgroup_card_pow_prime_of_le_card", "Sylow.exists_subgroup_card_pow_succ", "Sylow.exists_subgroup_le_card_le", "Sylow.exists_subgroup_le_card_pow_prime_of_le_card", "Sylow.ext_iff", "Sylow.mem_fixedPoints_mul_left_cosets_iff_mem_normalizer", "Sylow.ne_bot_of_dvd_card", "Sylow.normal_of_all_max_subgroups_normal", "Sylow.normal_of_normalizerCondition", "Sylow.normal_of_normalizer_normal", "Sylow.normalizer_normalizer", "Sylow.normalizer_sup_eq_top", "Sylow.normalizer_sup_eq_top'", "Sylow.orbit_eq_top", "Sylow.pointwise_smul_def", "Sylow.pow_dvd_card_of_pow_dvd_card", "Sylow.prime_dvd_card_quotient_normalizer", "Sylow.smul_eq_iff_mem_normalizer", "Sylow.smul_eq_of_normal", "Sylow.stabilizer_eq_normalizer", "Sylow.subtype_injective", "Sym.append_inj_right", "Sym.attach_map_coe", "Sym.attach_nil", "Sym.card_sym_eq_choose", "Sym.card_sym_eq_multichoose", "Sym.card_sym_fin_eq_multichoose", "Sym.cast_rfl", "Sym.coe_append", "Sym.coe_attach", "Sym.coe_equivNatSumOfFintype_apply_apply", "Sym.coe_equivNatSumOfFintype_symm_apply", "Sym.coe_equivNatSum_apply_apply", "Sym.coe_erase", "Sym.coe_fill", "Sym.coe_inj", "Sym.coe_map", "Sym.coe_nil", "Sym.coe_replicate", "Sym.cons_equiv_eq_equiv_cons", "Sym.cons_inj_right", "Sym.cons_of_coe_eq", "Sym.cons_swap", "Sym.count_coe_fill_of_ne", "Sym.count_coe_fill_self_of_not_mem", "Sym.eq_nil_of_card_zero", "Sym.eq_replicate_iff", "Sym.eq_replicate_of_subsingleton", "Sym.erase_cons_head", "Sym.erase_mk", "Sym.exists_cons_of_mem", "Sym.exists_eq_cons_of_succ", "Sym.exists_mem", "Sym.ext", "Sym.fill_filterNe", "Sym.filter_ne_fill", "Sym.map_cons", "Sym.map_id", "Sym.map_id'", "Sym.map_injective", "Sym.map_map", "Sym.map_mk", "Sym.map_zero", "Sym.mem_append_iff", "Sym.mem_cast", "Sym.mem_coe", "Sym.mem_fill_iff", "Sym.mem_map", "Sym.mem_mk", "Sym.mem_replicate", "Sym.multinomial_coe_fill_of_not_mem", "Sym.replicate_right_injective", "Sym.replicate_succ", "Sym.sigma_sub_ext", "Sym.toMultiset_zero", "Sym.val_eq_coe", "Sym2.GameAdd.fix_eq", "Sym2.GameAdd.fst", "Sym2.GameAdd.fst_snd", "Sym2.GameAdd.induction", "Sym2.GameAdd.snd", "Sym2.GameAdd.snd_fst", "Sym2.IsDiag.mem_range_diag", "Sym2.Rel.is_equivalence", "Sym2.Rel.symm", "Sym2.ball", "Sym2.card", "Sym2.card_image_diag", "Sym2.card_image_offDiag", "Sym2.card_subtype_diag", "Sym2.card_subtype_not_diag", "Sym2.coe_lift_symm_apply", "Sym2.congr_left", "Sym2.congr_right", "Sym2.diag_injective", "Sym2.diag_isDiag", "Sym2.eq", "Sym2.eq_iff", "Sym2.eq_of_ne_mem", "Sym2.eq_swap", "Sym2.exact", "Sym2.exists", "Sym2.filter_image_mk_isDiag", "Sym2.filter_image_mk_not_isDiag", "Sym2.forall", "Sym2.fromRel_bot", "Sym2.fromRel_irreflexive", "Sym2.fromRel_prop", "Sym2.fromRel_toRel", "Sym2.fromRel_top", "Sym2.ind", "Sym2.inductionOn", "Sym2.inductionOn\u2082", "Sym2.isDiag_iff_mem_range_diag", "Sym2.isDiag_map", "Sym2.lift\u2082_mk", "Sym2.map_comp", "Sym2.map_id", "Sym2.map_id'", "Sym2.map_map", "Sym2.map_pair_eq", "Sym2.mem_and_mem_iff", "Sym2.mem_fromRel_irrefl_other_ne", "Sym2.mem_iff", "Sym2.mem_iff'", "Sym2.mem_iff_exists", "Sym2.mem_map", "Sym2.mem_mk_left", "Sym2.mem_mk_right", "Sym2.mk_eq_mk_iff", "Sym2.mk_isDiag_iff", "Sym2.mk_prod_swap_eq", "Sym2.other_eq_other'", "Sym2.other_invol", "Sym2.other_mem", "Sym2.other_mem'", "Sym2.other_ne", "Sym2.other_spec", "Sym2.out_fst_mem", "Sym2.out_snd_mem", "Sym2.perm_card_two_iff", "Sym2.rel_iff", "Sym2.rel_iff'", "Sym2.toRel_prop", "Sym2.toRel_symmetric", "Sym2.two_mul_card_image_offDiag", "SymAlg.invOf_sym", "SymAlg.mul_comm", "SymAlg.mul_def", "SymAlg.sym_add", "SymAlg.sym_comp_unsym", "SymAlg.sym_injective", "SymAlg.sym_inv", "SymAlg.sym_mul_self", "SymAlg.sym_mul_sym", "SymAlg.sym_ne_one_iff", "SymAlg.sym_neg", "SymAlg.sym_smul", "SymAlg.sym_surjective", "SymAlg.sym_unsym", "SymAlg.unsym_add", "SymAlg.unsym_bijective", "SymAlg.unsym_comp_sym", "SymAlg.unsym_eq_one_iff", "SymAlg.unsym_inj", "SymAlg.unsym_mul", "SymAlg.unsym_mul_self", "SymAlg.unsym_ne_one_iff", "SymAlg.unsym_neg", "SymAlg.unsym_one", "SymAlg.unsym_smul", "SymAlg.unsym_sub", "SymAlg.unsym_symm", "SymOptionSuccEquiv.decode_encode", "SymOptionSuccEquiv.decode_inl", "SymOptionSuccEquiv.decode_inr", "SymOptionSuccEquiv.encode_decode", "SymOptionSuccEquiv.encode_of_none_mem", "SymOptionSuccEquiv.encode_of_not_none_mem", "Symmetric.compl", "Symmetric.flip_eq", "Symmetric.forall_existsUnique_iff", "Symmetric.forall_existsUnique_iff'", "Symmetric.iff", "SymmetricRel.eq", "SymmetricRel.inter", "SymplecticGroup.J_mem", "SymplecticGroup.coe_J", "SymplecticGroup.coe_inv'", "SymplecticGroup.inv_left_mul_aux", "SymplecticGroup.mem_iff", "SymplecticGroup.mem_iff'", "SymplecticGroup.neg_mem", "SymplecticGroup.symplectic_det", "SymplecticGroup.transpose_mem", "SymplecticGroup.transpose_mem_iff", "SzemerediRegularity.Positivity.m_pos", "SzemerediRegularity.a_add_one_le_four_pow_parts_card", "SzemerediRegularity.abs_density_star_sub_density_le_eps", "SzemerediRegularity.add_div_le_sum_sq_div_card", "SzemerediRegularity.average_density_near_total_density", "SzemerediRegularity.bound_pos", "SzemerediRegularity.card_aux\u2081", "SzemerediRegularity.card_aux\u2082", "SzemerediRegularity.card_biUnion_star_le_m_add_one_card_star_mul", "SzemerediRegularity.card_chunk", "SzemerediRegularity.card_eq_of_mem_parts_chunk", "SzemerediRegularity.card_increment", "SzemerediRegularity.card_le_m_add_one_of_mem_chunk_parts", "SzemerediRegularity.card_nonuniformWitness_sdiff_biUnion_star", "SzemerediRegularity.coe_m_add_one_pos", "SzemerediRegularity.coe_stepBound", "SzemerediRegularity.density_sub_eps_le_sum_density_div_card", "SzemerediRegularity.distinctPairs_increment", "SzemerediRegularity.edgeDensity_chunk_aux", "SzemerediRegularity.edgeDensity_chunk_not_uniform", "SzemerediRegularity.edgeDensity_chunk_uniform", "SzemerediRegularity.edgeDensity_star_not_uniform", "SzemerediRegularity.energy_increment", "SzemerediRegularity.eps_le_card_star_div", "SzemerediRegularity.eps_pos", "SzemerediRegularity.hundred_div_\u03b5_pow_five_le_m", "SzemerediRegularity.hundred_le_m", "SzemerediRegularity.hundred_lt_pow_initialBound_mul", "SzemerediRegularity.increment_isEquipartition", "SzemerediRegularity.initialBound_pos", "SzemerediRegularity.le_initialBound", "SzemerediRegularity.le_stepBound", "SzemerediRegularity.le_sum_card_subset_chunk_parts", "SzemerediRegularity.le_sum_distinctPairs_edgeDensity_sq", "SzemerediRegularity.m_add_one_div_m_le_one_add", "SzemerediRegularity.m_le_card_of_mem_chunk_parts", "SzemerediRegularity.m_pos", "SzemerediRegularity.one_le_m_coe", "SzemerediRegularity.one_sub_eps_mul_card_nonuniformWitness_le_card_star", "SzemerediRegularity.one_sub_le_m_div_m_add_one_sq", "SzemerediRegularity.pairwiseDisjoint_distinctPairs", "SzemerediRegularity.pow_mul_m_le_card_part", "SzemerediRegularity.seven_le_initialBound", "SzemerediRegularity.star_subset_chunk", "SzemerediRegularity.stepBound_mono", "SzemerediRegularity.sum_card_subset_chunk_parts_le", "SzemerediRegularity.sum_density_div_card_le_density_add_eps", "T0Space.of_cover", "T0Space.of_open_cover", "T25Space.of_injective_continuous", "T2Space.isSeparatedMap", "T4Space.of_compactSpace_t2Space", "TFAE_exists_lt_isLittleO_pow", "TFAE_mem_nhdsWithin_Ici", "TFAE_mem_nhdsWithin_Iic", "TFAE_mem_nhdsWithin_Iio", "TFAE_mem_nhdsWithin_Ioi", "T_def", "T_lt_one", "T_nonneg", "T_pos", "T_pow_nonneg", "Tactic.Elementwise.hom_elementwise", "Tactic.NormNum.int_gcd_helper", "Tactic.NormNum.int_gcd_helper'", "Tactic.NormNum.int_not_isCoprime_helper", "Tactic.NormNum.isInt_gcd", "Tactic.NormNum.isInt_isCoprime", "Tactic.NormNum.isInt_lcm", "Tactic.NormNum.isNat_gcd", "Tactic.NormNum.isNat_lcm", "Tactic.NormNum.isNat_sqrt", "Tactic.NormNum.nat_gcd_helper_1", "Tactic.NormNum.nat_gcd_helper_2", "Tactic.NormNum.nat_gcd_helper_2'", "Tactic.NormNum.nat_gcd_helper_dvd_left", "Tactic.NormNum.nat_gcd_helper_dvd_right", "Tactic.NormNum.nat_lcm_helper", "Tactic.NormNum.nat_sqrt_helper", "Tactic.ReduceModChar.CharP.intCast_eq_mod", "Tactic.ReduceModChar.CharP.isInt_of_mod", "Tactic.ReduceModChar.CharP.neg_eq_sub_one_mul", "Tactic.ReduceModChar.CharP.neg_mul_eq_sub_one_mul", "TangentBundle.chartAt_toPartialEquiv", "TangentBundle.coe_chartAt_symm_fst", "TangentBundle.continuousLinearMapAt_model_space", "TangentBundle.coordChange_model_space", "TangentBundle.mem_chart_source_iff", "TangentBundle.mem_chart_target_iff", "TangentBundle.symmL_model_space", "TangentBundle.tangentMap_tangentBundle_pure", "TangentBundle.trivializationAt_apply", "TangentBundle.trivializationAt_baseSet", "TangentBundle.trivializationAt_fst", "TangentBundle.trivializationAt_source", "TangentBundle.trivializationAt_symmL", "TangentBundle.trivializationAt_target", "Tendsto.isLindelof_insert_range_of_coLindelof", "TendstoLocallyUniformly.comp", "TendstoLocallyUniformly.tendstoLocallyUniformlyOn", "TendstoLocallyUniformly.tendsto_comp", "TendstoLocallyUniformlyOn.comp", "TendstoLocallyUniformlyOn.congr", "TendstoLocallyUniformlyOn.congr_right", "TendstoLocallyUniformlyOn.continuousOn", "TendstoLocallyUniformlyOn.deriv", "TendstoLocallyUniformlyOn.differentiableOn", "TendstoLocallyUniformlyOn.mono", "TendstoLocallyUniformlyOn.tendsto_at", "TendstoLocallyUniformlyOn.tendsto_comp", "TendstoLocallyUniformlyOn.union", "TendstoLocallyUniformlyOn.unique", "TendstoUniformly.comp", "TendstoUniformly.continuous", "TendstoUniformly.mul", "TendstoUniformly.prod", "TendstoUniformly.prod_map", "TendstoUniformly.tendstoLocallyUniformly", "TendstoUniformly.tendsto_at", "TendstoUniformly.tendsto_comp", "TendstoUniformlyOn.cderiv", "TendstoUniformlyOn.comp", "TendstoUniformlyOn.congr", "TendstoUniformlyOn.congr_right", "TendstoUniformlyOn.continuousOn", "TendstoUniformlyOn.div", "TendstoUniformlyOn.mono", "TendstoUniformlyOn.mul", "TendstoUniformlyOn.prod", "TendstoUniformlyOn.seq_tendstoUniformlyOn", "TendstoUniformlyOn.tendstoLocallyUniformlyOn", "TendstoUniformlyOn.uniformCauchySeqOn", "TendstoUniformlyOnFilter.comp", "TendstoUniformlyOnFilter.congr", "TendstoUniformlyOnFilter.div", "TendstoUniformlyOnFilter.mono_left", "TendstoUniformlyOnFilter.mul", "TendstoUniformlyOnFilter.prod", "TendstoUniformlyOnFilter.prod_map", "TendstoUniformlyOnFilter.uniformCauchySeqOnFilter", "TensorAlgebra.GradedAlgebra.\u03b9_apply", "TensorAlgebra.algebraMap_eq_one_iff", "TensorAlgebra.algebraMap_eq_zero_iff", "TensorAlgebra.algebraMap_inj", "TensorAlgebra.algebraMap_leftInverse", "TensorAlgebra.hom_ext", "TensorAlgebra.induction", "TensorAlgebra.lift_comp_\u03b9", "TensorAlgebra.lift_unique", "TensorAlgebra.mk_reindex_cast", "TensorAlgebra.mk_reindex_fin_cast", "TensorAlgebra.ofDirectSum_comp_toDirectSum", "TensorAlgebra.ofDirectSum_of_tprod", "TensorAlgebra.ofDirectSum_toDirectSum", "TensorAlgebra.rank_eq", "TensorAlgebra.ringQuot_mkAlgHom_freeAlgebra_\u03b9_eq_\u03b9", "TensorAlgebra.toClifford_\u03b9", "TensorAlgebra.toDirectSum_comp_ofDirectSum", "TensorAlgebra.toDirectSum_tensorPower_tprod", "TensorAlgebra.toTrivSqZeroExt_\u03b9", "TensorAlgebra.tprod_apply", "TensorAlgebra.\u03b9_comp_lift", "TensorAlgebra.\u03b9_eq_algebraMap_iff", "TensorAlgebra.\u03b9_eq_zero_iff", "TensorAlgebra.\u03b9_inj", "TensorAlgebra.\u03b9_leftInverse", "TensorAlgebra.\u03b9_ne_one", "TensorAlgebra.\u03b9_range_disjoint_one", "TensorPower.algebraMap\u2080_eq_smul_one", "TensorPower.algebraMap\u2080_mul", "TensorPower.algebraMap\u2080_mul_algebraMap\u2080", "TensorPower.algebraMap\u2080_one", "TensorPower.cast_cast", "TensorPower.cast_symm", "TensorPower.cast_tprod", "TensorPower.cast_trans", "TensorPower.gMul_def", "TensorPower.gMul_eq_coe_linearMap", "TensorPower.gOne_def", "TensorPower.gradedMonoid_eq_of_cast", "TensorPower.list_prod_gradedMonoid_mk_single", "TensorPower.mul_algebraMap\u2080", "TensorPower.mul_assoc", "TensorPower.mul_one", "TensorPower.one_mul", "TensorPower.toTensorAlgebra_gMul", "TensorPower.toTensorAlgebra_galgebra_toFun", "TensorPower.toTensorAlgebra_tprod", "TensorPower.tprod_mul_tprod", "TensorProduct.Algebra.smul_def", "TensorProduct.AlgebraTensorModule.assoc_tmul", "TensorProduct.AlgebraTensorModule.cancelBaseChange_symm_tmul", "TensorProduct.AlgebraTensorModule.congr_one", "TensorProduct.AlgebraTensorModule.congr_refl", "TensorProduct.AlgebraTensorModule.congr_symm", "TensorProduct.AlgebraTensorModule.congr_symm_tmul", "TensorProduct.AlgebraTensorModule.congr_trans", "TensorProduct.AlgebraTensorModule.curry_injective", "TensorProduct.AlgebraTensorModule.dualDistrib_apply", "TensorProduct.AlgebraTensorModule.lift_apply", "TensorProduct.AlgebraTensorModule.mapBilinear_apply", "TensorProduct.AlgebraTensorModule.map_add_left", "TensorProduct.AlgebraTensorModule.map_add_right", "TensorProduct.AlgebraTensorModule.map_comp", "TensorProduct.AlgebraTensorModule.map_mul", "TensorProduct.AlgebraTensorModule.map_one", "TensorProduct.AlgebraTensorModule.map_smul_left", "TensorProduct.AlgebraTensorModule.map_smul_right", "TensorProduct.AlgebraTensorModule.map_tmul", "TensorProduct.AlgebraTensorModule.restrictScalars_curry", "TensorProduct.AlgebraTensorModule.rid_tmul", "TensorProduct.AlgebraTensorModule.rightComm_symm_tmul", "TensorProduct.AlgebraTensorModule.rightComm_tmul", "TensorProduct.AlgebraTensorModule.tensorTensorTensorComm_symm_tmul", "TensorProduct.AlgebraTensorModule.tensorTensorTensorComm_tmul", "TensorProduct.LieModule.coe_liftLie_eq_lift_coe", "TensorProduct.LieModule.coe_linearMap_map", "TensorProduct.LieModule.lie_tmul_right", "TensorProduct.LieModule.liftLie_apply", "TensorProduct.LieModule.lift_apply", "TensorProduct.add_left_neg", "TensorProduct.add_smul", "TensorProduct.add_tmul", "TensorProduct.algebraMap_gradedMul", "TensorProduct.assoc_symm_tmul", "TensorProduct.assoc_tmul", "TensorProduct.comm_symm_tmul", "TensorProduct.comm_tmul", "TensorProduct.congr_mul", "TensorProduct.congr_pow", "TensorProduct.congr_refl_refl", "TensorProduct.congr_tmul", "TensorProduct.congr_trans", "TensorProduct.congr_zpow", "TensorProduct.curry_apply", "TensorProduct.directLimitLeft_tmul_of", "TensorProduct.directSumLeft_symm_lof_tmul", "TensorProduct.directSumLeft_tmul_lof", "TensorProduct.directSumRight_symm_lof_tmul", "TensorProduct.directSumRight_tmul_lof", "TensorProduct.directSum_lof_tmul_lof", "TensorProduct.directSum_symm_lof_tmul", "TensorProduct.dualDistrib_dualDistribInvOfBasis_left_inverse", "TensorProduct.dualDistrib_dualDistribInvOfBasis_right_inverse", "TensorProduct.exists_eq_tmul_of_forall", "TensorProduct.exists_finite_submodule_left_of_finite", "TensorProduct.exists_finite_submodule_left_of_finite'", "TensorProduct.exists_finite_submodule_of_finite", "TensorProduct.exists_finite_submodule_of_finite'", "TensorProduct.exists_finite_submodule_right_of_finite", "TensorProduct.exists_finite_submodule_right_of_finite'", "TensorProduct.exists_finset", "TensorProduct.exists_finsupp_left", "TensorProduct.exists_finsupp_right", "TensorProduct.exists_multiset", "TensorProduct.ext", "TensorProduct.ext'", "TensorProduct.ext_threefold", "TensorProduct.finsuppLeft'_apply", "TensorProduct.finsuppLeft_apply", "TensorProduct.finsuppLeft_apply_tmul", "TensorProduct.finsuppLeft_apply_tmul_apply", "TensorProduct.finsuppLeft_smul'", "TensorProduct.finsuppLeft_symm_apply_single", "TensorProduct.finsuppRight_apply", "TensorProduct.finsuppRight_apply_tmul", "TensorProduct.finsuppRight_apply_tmul_apply", "TensorProduct.finsuppScalarLeft_apply", "TensorProduct.finsuppScalarLeft_apply_tmul", "TensorProduct.finsuppScalarLeft_apply_tmul_apply", "TensorProduct.finsuppScalarRight_apply_tmul", "TensorProduct.finsuppScalarRight_apply_tmul_apply", "TensorProduct.forall_vanishesTrivially_iff_forall_FG_rTensor_injective", "TensorProduct.forall_vanishesTrivially_iff_forall_rTensor_injective", "TensorProduct.fromDirectLimit_of_tmul", "TensorProduct.gradedCommAux_comp_gradedCommAux", "TensorProduct.gradedCommAux_lof_tmul", "TensorProduct.gradedComm_algebraMap", "TensorProduct.gradedComm_algebraMap_tmul", "TensorProduct.gradedComm_gradedMul", "TensorProduct.gradedComm_of_tmul_of", "TensorProduct.gradedComm_of_zero_tmul", "TensorProduct.gradedComm_one", "TensorProduct.gradedComm_one_tmul", "TensorProduct.gradedComm_symm", "TensorProduct.gradedComm_tmul_of_zero", "TensorProduct.gradedComm_tmul_one", "TensorProduct.gradedMul_algebraMap", "TensorProduct.gradedMul_assoc", "TensorProduct.gradedMul_one", "TensorProduct.homTensorHomMap_apply", "TensorProduct.induction_on", "TensorProduct.isBaseChange", "TensorProduct.isTensorProduct", "TensorProduct.ite_tmul", "TensorProduct.lTensorHomToHomLTensor_apply", "TensorProduct.lcurry_apply", "TensorProduct.leftComm_symm_tmul", "TensorProduct.lid_eq_rid", "TensorProduct.lid_tmul", "TensorProduct.lift.equiv_apply", "TensorProduct.lift.equiv_symm_apply", "TensorProduct.lift.tmul", "TensorProduct.lift.unique", "TensorProduct.liftAddHom_tmul", "TensorProduct.liftAux.smul", "TensorProduct.lift_comp_map", "TensorProduct.lift_compr\u2082", "TensorProduct.lift_mk", "TensorProduct.lift_mk_compr\u2082", "TensorProduct.mapBilinear_apply", "TensorProduct.map_add_left", "TensorProduct.map_add_right", "TensorProduct.map_comp", "TensorProduct.map_comp_comm_eq", "TensorProduct.map_id", "TensorProduct.map_ker", "TensorProduct.map_map_assoc_symm", "TensorProduct.map_one", "TensorProduct.map_pow", "TensorProduct.map_range_eq_span_tmul", "TensorProduct.map_smul_left", "TensorProduct.map_smul_right", "TensorProduct.map_surjective", "TensorProduct.map_tmul", "TensorProduct.map_zero_left", "TensorProduct.map_zero_right", "TensorProduct.map\u2082_eq_range_lift_comp_mapIncl", "TensorProduct.map\u2082_mk_top_top_eq_top", "TensorProduct.mk_apply", "TensorProduct.neg_tmul", "TensorProduct.one_gradedMul", "TensorProduct.one_smul", "TensorProduct.prodLeft_symm_tmul", "TensorProduct.prodLeft_tmul", "TensorProduct.prodRight_symm_tmul", "TensorProduct.rTensor_injective_of_forall_FG_rTensor_injective", "TensorProduct.rTensor_injective_of_forall_vanishesTrivially", "TensorProduct.range_mapIncl", "TensorProduct.range_mapIncl_mono", "TensorProduct.rid_tmul", "TensorProduct.smul_add", "TensorProduct.smul_tmul", "TensorProduct.smul_tmul'", "TensorProduct.smul_tmul_smul", "TensorProduct.smul_zero", "TensorProduct.span_tmul_eq_top", "TensorProduct.sub_tmul", "TensorProduct.sum_tmul", "TensorProduct.sum_tmul_eq_zero_of_vanishesTrivially", "TensorProduct.tensorTensorTensorComm_symm", "TensorProduct.tmul_ite", "TensorProduct.tmul_neg", "TensorProduct.tmul_of_gradedMul_of_tmul", "TensorProduct.tmul_smul", "TensorProduct.tmul_sub", "TensorProduct.tmul_sum", "TensorProduct.tmul_zero", "TensorProduct.toDirectLimit_tmul_of", "TensorProduct.toMatrix_assoc", "TensorProduct.toMatrix_comm", "TensorProduct.toMatrix_map", "TensorProduct.uncurry_apply", "TensorProduct.vanishesTrivially_iff_sum_tmul_eq_zero", "TensorProduct.vanishesTrivially_iff_sum_tmul_eq_zero_of_rTensor_injective", "TensorProduct.vanishesTrivially_of_sum_tmul_eq_zero", "TensorProduct.vanishesTrivially_of_sum_tmul_eq_zero_of_rTensor_injective", "TensorProduct.zero_smul", "TensorProduct.zero_tmul", "ThreeGPFree.eq_right", "ThreeGPFree.image'", "ThreeGPFree.le_mulRothNumber", "ThreeGPFree.of_image", "ThreeGPFree.prod", "ThreeGPFree.smul_set", "ThreeGPFree.smul_set\u2080", "Thunk.ext", "Thunk.prod_get_snd", "TietzeExtension.of_homeo", "TietzeExtension.of_retract", "TietzeExtension.of_tvs", "TopCat.GlueData.eqvGen_of_\u03c0_eq", "TopCat.GlueData.fromOpenSubsetsGlue_injective", "TopCat.GlueData.fromOpenSubsetsGlue_isOpenMap", "TopCat.GlueData.image_inter", "TopCat.GlueData.isOpen_iff", "TopCat.GlueData.open_image_open", "TopCat.GlueData.preimage_image_eq_image", "TopCat.GlueData.preimage_image_eq_image'", "TopCat.GlueData.preimage_range", "TopCat.GlueData.range_fromOpenSubsetsGlue", "TopCat.GlueData.rel_equiv", "TopCat.GlueData.\u03b9_eq_iff_rel", "TopCat.GlueData.\u03b9_fromOpenSubsetsGlue", "TopCat.GlueData.\u03b9_injective", "TopCat.GlueData.\u03b9_jointly_surjective", "TopCat.GlueData.\u03c0_surjective", "TopCat.Opens.coverDense_iff_isBasis", "TopCat.Opens.coverDense_inducedFunctor", "TopCat.PrelocalPredicate.sheafifyOf", "TopCat.Presheaf.Pullback.id_inv_app", "TopCat.Presheaf.Pushforward.comp_hom_app", "TopCat.Presheaf.Pushforward.id_eq", "TopCat.Presheaf.Pushforward.id_hom_app'", "TopCat.Presheaf.Pushforward.id_inv_app'", "TopCat.Presheaf.SheafConditionEqualizerProducts.fork_\u03b9", "TopCat.Presheaf.SheafConditionEqualizerProducts.res_\u03c0", "TopCat.Presheaf.SheafConditionEqualizerProducts.w", "TopCat.Presheaf.app_injective_of_stalkFunctor_map_injective", "TopCat.Presheaf.app_isIso_of_stalkFunctor_map_iso", "TopCat.Presheaf.app_surjective_of_injective_of_locally_surjective", "TopCat.Presheaf.app_surjective_of_stalkFunctor_map_bijective", "TopCat.Presheaf.comp_app", "TopCat.Presheaf.coveringOfPresieve.iSup_eq_of_mem_grothendieck", "TopCat.Presheaf.coveringOfPresieve_apply", "TopCat.Presheaf.covering_presieve_eq_self", "TopCat.Presheaf.ext", "TopCat.Presheaf.germ_eq", "TopCat.Presheaf.germ_exist", "TopCat.Presheaf.germ_ext", "TopCat.Presheaf.germ_res_apply", "TopCat.Presheaf.germ_stalkSpecializes", "TopCat.Presheaf.germ_stalkSpecializes'", "TopCat.Presheaf.id_pushforward", "TopCat.Presheaf.isGluing_iff_pairwise", "TopCat.Presheaf.isIso_iff_stalkFunctor_map_iso", "TopCat.Presheaf.isIso_of_stalkFunctor_map_iso", "TopCat.Presheaf.isLocallySurjective_iff", "TopCat.Presheaf.isSheafOpensLeCover_iff_isSheafPairwiseIntersections", "TopCat.Presheaf.isSheaf_iff_isSheafEqualizerProducts", "TopCat.Presheaf.isSheaf_iff_isSheafOpensLeCover", "TopCat.Presheaf.isSheaf_iff_isSheafPairwiseIntersections", "TopCat.Presheaf.isSheaf_iff_isSheafPreservesLimitPairwiseIntersections", "TopCat.Presheaf.isSheaf_iff_isSheafUniqueGluing", "TopCat.Presheaf.isSheaf_iff_isSheafUniqueGluing_types", "TopCat.Presheaf.isSheaf_iff_isSheaf_comp'", "TopCat.Presheaf.isSheaf_iff_isTerminal_of_indiscrete", "TopCat.Presheaf.isSheaf_iso_iff", "TopCat.Presheaf.isSheaf_of_isTerminal_of_indiscrete", "TopCat.Presheaf.isSheaf_of_iso", "TopCat.Presheaf.isSheaf_on_punit_of_isTerminal", "TopCat.Presheaf.locally_surjective_iff_surjective_on_stalks", "TopCat.Presheaf.map_restrict", "TopCat.Presheaf.mono_iff_stalk_mono", "TopCat.Presheaf.mono_of_stalk_mono", "TopCat.Presheaf.presieveOfCovering.indexOfHom_spec", "TopCat.Presheaf.presieveOfCovering.mem_grothendieckTopology", "TopCat.Presheaf.pullbackObj_eq_pullbackObj", "TopCat.Presheaf.pushforwardEq_hom_app", "TopCat.Presheaf.pushforwardObj_map", "TopCat.Presheaf.pushforwardObj_obj", "TopCat.Presheaf.pushforwardToOfIso_app", "TopCat.Presheaf.pushforward_eq'", "TopCat.Presheaf.pushforward_eq'_hom_app", "TopCat.Presheaf.restrict_restrict", "TopCat.Presheaf.section_ext", "TopCat.Presheaf.stalkFunctor_map_germ", "TopCat.Presheaf.stalkFunctor_map_injective_of_app_injective", "TopCat.Presheaf.stalkFunctor_obj", "TopCat.Presheaf.stalkPushforward.comp", "TopCat.Presheaf.stalkPushforward.id", "TopCat.Presheaf.stalkPushforward.stalkPushforward_iso_of_openEmbedding", "TopCat.Presheaf.stalkPushforward_germ", "TopCat.Presheaf.stalkSpecializes_comp", "TopCat.Presheaf.stalkSpecializes_refl", "TopCat.Presheaf.stalkSpecializes_stalkFunctor_map", "TopCat.Presheaf.stalkSpecializes_stalkPushforward", "TopCat.Presheaf.stalkToFiber_injective", "TopCat.Presheaf.stalkToFiber_surjective", "TopCat.Presheaf.stalk_hom_ext", "TopCat.Presheaf.stalk_mono_of_mono", "TopCat.Presheaf.stalk_open_algebraMap", "TopCat.Presheaf.toPushforwardOfIso_app", "TopCat.Presheaf.toType_isSheaf", "TopCat.Presheaf.toTypes_isSheaf", "TopCat.Sheaf.comp_app", "TopCat.Sheaf.eq_of_locally_eq", "TopCat.Sheaf.eq_of_locally_eq'", "TopCat.Sheaf.eq_of_locally_eq\u2082", "TopCat.Sheaf.existsUnique_gluing'", "TopCat.Sheaf.extend_hom_app", "TopCat.Sheaf.hom_ext", "TopCat.Sheaf.interUnionPullbackConeLift_left", "TopCat.Sheaf.interUnionPullbackConeLift_right", "TopCat.Sheaf.interUnionPullbackCone_pt", "TopCat.Sheaf.objSupIsoProdEqLocus_hom_fst", "TopCat.Sheaf.objSupIsoProdEqLocus_hom_snd", "TopCat.Sheaf.objSupIsoProdEqLocus_inv_eq_iff", "TopCat.Sheaf.objSupIsoProdEqLocus_inv_fst", "TopCat.Sheaf.objSupIsoProdEqLocus_inv_snd", "TopCat.Sheaf.pullback_eq", "TopCat.Sheaf.pushforward_forget", "TopCat.Sheaf.pushforward_map", "TopCat.Sheaf.pushforward_obj_val", "TopCat.Sheaf.pushforward_sheaf_of_sheaf", "TopCat.binaryCofan_isColimit_iff", "TopCat.coe_comp", "TopCat.coe_of", "TopCat.coequalizer_isOpen_iff", "TopCat.coinduced_of_isColimit", "TopCat.colimit_isOpen_iff", "TopCat.comp_app", "TopCat.effectiveEpi_iff_quotientMap", "TopCat.embedding_of_pullback_embeddings", "TopCat.embedding_prod_map", "TopCat.epi_iff_surjective", "TopCat.fst_embedding_of_right_embedding", "TopCat.fst_iso_of_right_embedding_range_subset", "TopCat.fst_openEmbedding_of_right_openEmbedding", "TopCat.hom_apply", "TopCat.id_app", "TopCat.induced_of_isLimit", "TopCat.inducing_prod_map", "TopCat.inducing_pullback_to_prod", "TopCat.isSheaf_of_isLimit", "TopCat.isTopologicalBasis_cofiltered_limit", "TopCat.limit_isSheaf", "TopCat.mono_iff_injective", "TopCat.nonempty_limitCone_of_compact_t2_cofiltered_system", "TopCat.of_homeoOfIso", "TopCat.of_isoOfHomeo", "TopCat.openEmbedding_iff_comp_isIso", "TopCat.openEmbedding_iff_comp_isIso'", "TopCat.openEmbedding_iff_isIso_comp", "TopCat.openEmbedding_iff_isIso_comp'", "TopCat.openEmbedding_of_pullback_open_embeddings", "TopCat.partialSections.closed", "TopCat.partialSections.directed", "TopCat.partialSections.nonempty", "TopCat.piIsoPi_hom_apply", "TopCat.presheafToTop_obj", "TopCat.presheafToType_map", "TopCat.presheafToType_obj", "TopCat.presheafToTypes_map", "TopCat.prodIsoProd_hom_apply", "TopCat.prodIsoProd_hom_snd", "TopCat.prodIsoProd_inv_fst", "TopCat.prodIsoProd_inv_snd", "TopCat.prod_topology", "TopCat.pullbackFst_apply", "TopCat.pullbackIsoProdSubtype_hom_apply", "TopCat.pullbackIsoProdSubtype_hom_fst", "TopCat.pullbackIsoProdSubtype_hom_snd", "TopCat.pullbackIsoProdSubtype_inv_fst", "TopCat.pullbackIsoProdSubtype_inv_fst_apply", "TopCat.pullbackIsoProdSubtype_inv_snd", "TopCat.pullbackIsoProdSubtype_inv_snd_apply", "TopCat.pullbackSnd_apply", "TopCat.pullback_fst_image_snd_preimage", "TopCat.pullback_fst_range", "TopCat.pullback_map_embedding_of_embeddings", "TopCat.pullback_map_openEmbedding_of_open_embeddings", "TopCat.pullback_snd_image_fst_preimage", "TopCat.pullback_snd_range", "TopCat.pullback_topology", "TopCat.range_prod_map", "TopCat.range_pullback_map", "TopCat.range_pullback_to_prod", "TopCat.sigmaIsoSigma_hom_\u03b9", "TopCat.sigmaIsoSigma_hom_\u03b9_apply", "TopCat.sigmaIsoSigma_inv_apply", "TopCat.snd_embedding_of_left_embedding", "TopCat.snd_iso_of_left_embedding_range_subset", "TopCat.snd_openEmbedding_of_left_openEmbedding", "TopCat.stalkToFiber_germ", "TopCat.stalkToFiber_injective", "TopCat.subpresheafToTypes.isSheaf", "TopCommRingCat.coe_of", "TopHom.cancel_left", "TopHom.cancel_right", "TopHom.coe_comp", "TopHom.coe_copy", "TopHom.comp_apply", "TopHom.comp_id", "TopHom.copy_eq", "TopHom.ext", "TopHom.id_apply", "TopHom.sup_apply", "TopHom.symm_dual_comp", "TopHom.symm_dual_id", "TopologicalGroup.continuous_conj", "TopologicalGroup.continuous_conj_prod", "TopologicalGroup.exists_antitone_basis_nhds_one", "TopologicalGroup.ext", "TopologicalGroup.ext_iff", "TopologicalGroup.of_comm_of_nhds_one", "TopologicalGroup.of_nhds_one", "TopologicalGroup.of_nhds_one'", "TopologicalGroup.t1Space", "TopologicalGroup.t2Space_iff_one_closed", "TopologicalGroup.t2Space_of_one_sep", "TopologicalGroup.tendstoLocallyUniformlyOn_iff", "TopologicalGroup.tendstoUniformlyOn_iff", "TopologicalGroup.tendstoUniformly_iff", "TopologicalRing.of_addGroup_of_nhds_zero", "TopologicalRing.of_nhds_zero", "TopologicalRing.of_norm", "TopologicalSemiring.continuousNeg_of_mul", "TopologicalSemiring.toTopologicalRing", "TopologicalSpace.Clopens.coe_bot", "TopologicalSpace.Clopens.coe_compl", "TopologicalSpace.Clopens.coe_mk", "TopologicalSpace.Clopens.coe_sup", "TopologicalSpace.Clopens.countable_iff_second_countable", "TopologicalSpace.Clopens.exists_finset_eq_sup_prod", "TopologicalSpace.Clopens.exists_prod_subset", "TopologicalSpace.Clopens.ext", "TopologicalSpace.Clopens.isClopen", "TopologicalSpace.Clopens.mem_mk", "TopologicalSpace.Clopens.mem_prod", "TopologicalSpace.Closeds.closed", "TopologicalSpace.Closeds.coe_bot", "TopologicalSpace.Closeds.coe_eq_empty", "TopologicalSpace.Closeds.coe_eq_singleton_of_isAtom", "TopologicalSpace.Closeds.coe_eq_univ", "TopologicalSpace.Closeds.coe_finset_inf", "TopologicalSpace.Closeds.coe_finset_sup", "TopologicalSpace.Closeds.coe_iInf", "TopologicalSpace.Closeds.coe_mk", "TopologicalSpace.Closeds.coe_nonempty", "TopologicalSpace.Closeds.coe_sSup", "TopologicalSpace.Closeds.coe_sup", "TopologicalSpace.Closeds.coe_top", "TopologicalSpace.Closeds.compl_bijective", "TopologicalSpace.Closeds.compl_compl", "TopologicalSpace.Closeds.iInf_def", "TopologicalSpace.Closeds.iInf_mk", "TopologicalSpace.Closeds.isAtom_coe", "TopologicalSpace.Closeds.isAtom_iff", "TopologicalSpace.Closeds.mem_iInf", "TopologicalSpace.Closeds.mem_sInf", "TopologicalSpace.Closeds.mem_singleton", "TopologicalSpace.CompactOpens.coe_compl", "TopologicalSpace.CompactOpens.coe_inf", "TopologicalSpace.CompactOpens.coe_map", "TopologicalSpace.CompactOpens.coe_mk", "TopologicalSpace.CompactOpens.coe_prod", "TopologicalSpace.CompactOpens.coe_sdiff", "TopologicalSpace.CompactOpens.coe_top", "TopologicalSpace.CompactOpens.ext", "TopologicalSpace.CompactOpens.isOpen", "TopologicalSpace.CompactOpens.map_comp", "TopologicalSpace.CompactOpens.map_id", "TopologicalSpace.Compacts.carrier_eq_coe", "TopologicalSpace.Compacts.coe_bot", "TopologicalSpace.Compacts.coe_equiv_apply_eq_preimage", "TopologicalSpace.Compacts.coe_finset_sup", "TopologicalSpace.Compacts.coe_inf", "TopologicalSpace.Compacts.coe_mk", "TopologicalSpace.Compacts.coe_top", "TopologicalSpace.Compacts.equiv_refl", "TopologicalSpace.Compacts.equiv_trans", "TopologicalSpace.Compacts.ext", "TopologicalSpace.Compacts.isCompact", "TopologicalSpace.Compacts.map_comp", "TopologicalSpace.Compacts.map_id", "TopologicalSpace.FirstCountableTopology.tendsto_subseq", "TopologicalSpace.IsSeparable.exists_countable_dense_subset", "TopologicalSpace.IsSeparable.iUnion", "TopologicalSpace.IsSeparable.image", "TopologicalSpace.IsSeparable.of_separableSpace", "TopologicalSpace.IsSeparable.of_subtype", "TopologicalSpace.IsSeparable.prod", "TopologicalSpace.IsSeparable.secondCountableTopology", "TopologicalSpace.IsSeparable.separableSpace", "TopologicalSpace.IsSeparable.span", "TopologicalSpace.IsSeparable.union", "TopologicalSpace.IsSeparable.univ_pi", "TopologicalSpace.IsTopologicalBasis.borel_eq_generateFrom", "TopologicalSpace.IsTopologicalBasis.continuous_iff", "TopologicalSpace.IsTopologicalBasis.diff_empty", "TopologicalSpace.IsTopologicalBasis.eq_iff", "TopologicalSpace.IsTopologicalBasis.eq_of_forall_subset_iff", "TopologicalSpace.IsTopologicalBasis.exists_closure_subset", "TopologicalSpace.IsTopologicalBasis.exists_mem_of_ne", "TopologicalSpace.IsTopologicalBasis.exists_subset_of_mem_open", "TopologicalSpace.IsTopologicalBasis.induced", "TopologicalSpace.IsTopologicalBasis.inducing", "TopologicalSpace.IsTopologicalBasis.inf", "TopologicalSpace.IsTopologicalBasis.inf_induced", "TopologicalSpace.IsTopologicalBasis.inseparable_iff", "TopologicalSpace.IsTopologicalBasis.insert_empty", "TopologicalSpace.IsTopologicalBasis.isOpen", "TopologicalSpace.IsTopologicalBasis.isOpenMap_iff", "TopologicalSpace.IsTopologicalBasis.isOpen_iff", "TopologicalSpace.IsTopologicalBasis.mem_closure_iff", "TopologicalSpace.IsTopologicalBasis.mem_nhds", "TopologicalSpace.IsTopologicalBasis.mem_nhds_iff", "TopologicalSpace.IsTopologicalBasis.nhds_basis_closure", "TopologicalSpace.IsTopologicalBasis.nhds_hasBasis", "TopologicalSpace.IsTopologicalBasis.of_hasBasis_nhds", "TopologicalSpace.IsTopologicalBasis.open_eq_iUnion", "TopologicalSpace.IsTopologicalBasis.open_eq_sUnion'", "TopologicalSpace.IsTopologicalBasis.quotient", "TopologicalSpace.IsTopologicalBasis.quotientMap", "TopologicalSpace.IsTopologicalBasis.secondCountableTopology", "TopologicalSpace.IsTopologicalBasis.sigma", "TopologicalSpace.IsTopologicalBasis.subset_of_forall_subset", "TopologicalSpace.IsTopologicalBasis.sum", "TopologicalSpace.NoetherianSpace.discrete", "TopologicalSpace.NoetherianSpace.exists_finite_set_closeds_irreducible", "TopologicalSpace.NoetherianSpace.exists_finite_set_isClosed_irreducible", "TopologicalSpace.NoetherianSpace.exists_finset_irreducible", "TopologicalSpace.NoetherianSpace.exists_open_ne_empty_le_irreducibleComponent", "TopologicalSpace.NoetherianSpace.finite_irreducibleComponents", "TopologicalSpace.NoetherianSpace.iUnion", "TopologicalSpace.NoetherianSpace.isCompact", "TopologicalSpace.NoetherianSpace.range", "TopologicalSpace.NoetherianSpace.wellFounded_closeds", "TopologicalSpace.NonemptyCompacts.carrier_eq_coe", "TopologicalSpace.NonemptyCompacts.coe_mk", "TopologicalSpace.NonemptyCompacts.coe_sup", "TopologicalSpace.NonemptyCompacts.coe_top", "TopologicalSpace.NonemptyCompacts.nonempty", "TopologicalSpace.OpenNhds.inclusionMapIso_hom", "TopologicalSpace.OpenNhds.inclusion_obj", "TopologicalSpace.OpenNhds.map_id_obj'", "TopologicalSpace.OpenNhds.map_id_obj_unop", "TopologicalSpace.OpenNhds.map_obj", "TopologicalSpace.OpenNhds.op_map_id_obj", "TopologicalSpace.OpenNhds.openEmbedding", "TopologicalSpace.OpenNhdsOf.toOpens_injective", "TopologicalSpace.Opens.CompleteCopy.dist_eq", "TopologicalSpace.Opens.CompleteCopy.dist_val_le_dist", "TopologicalSpace.Opens.IsBasis.isCompact_open_iff_eq_finite_iUnion", "TopologicalSpace.Opens.adjunction_counit_map_functor", "TopologicalSpace.Opens.carrier_eq_coe", "TopologicalSpace.Opens.chartAt_inclusion_symm_eventuallyEq", "TopologicalSpace.Opens.chartAt_subtype_val_symm_eventuallyEq", "TopologicalSpace.Opens.chart_eq", "TopologicalSpace.Opens.chart_eq'", "TopologicalSpace.Opens.coe_bot", "TopologicalSpace.Opens.coe_comap", "TopologicalSpace.Opens.coe_eq_univ", "TopologicalSpace.Opens.coe_finset_inf", "TopologicalSpace.Opens.coe_finset_sup", "TopologicalSpace.Opens.coe_iSup", "TopologicalSpace.Opens.coe_inclusion", "TopologicalSpace.Opens.coe_inf", "TopologicalSpace.Opens.coe_inj", "TopologicalSpace.Opens.coe_mk", "TopologicalSpace.Opens.coe_sSup", "TopologicalSpace.Opens.coe_sup", "TopologicalSpace.Opens.comap_comap", "TopologicalSpace.Opens.comap_comp", "TopologicalSpace.Opens.comap_id", "TopologicalSpace.Opens.comap_injective", "TopologicalSpace.Opens.comap_mono", "TopologicalSpace.Opens.compl_bijective", "TopologicalSpace.Opens.eq_bot_or_top", "TopologicalSpace.Opens.ext", "TopologicalSpace.Opens.functor_map_eq_inf", "TopologicalSpace.Opens.functor_obj_map_obj", "TopologicalSpace.Opens.gc", "TopologicalSpace.Opens.iSup_def", "TopologicalSpace.Opens.iSup_mk", "TopologicalSpace.Opens.inclusion_map_eq_top", "TopologicalSpace.Opens.inclusion_top_functor", "TopologicalSpace.Opens.infLELeft_apply", "TopologicalSpace.Opens.infLELeft_apply_mk", "TopologicalSpace.Opens.isBasis_iff_cover", "TopologicalSpace.Opens.isBasis_iff_nbhd", "TopologicalSpace.Opens.isCoatom_iff", "TopologicalSpace.Opens.isCompactElement_iff", "TopologicalSpace.Opens.leSupr_apply_mk", "TopologicalSpace.Opens.mapIso_hom_app", "TopologicalSpace.Opens.map_coe", "TopologicalSpace.Opens.map_comp_eq", "TopologicalSpace.Opens.map_comp_obj'", "TopologicalSpace.Opens.map_comp_obj_unop", "TopologicalSpace.Opens.map_functor_eq", "TopologicalSpace.Opens.map_functor_eq'", "TopologicalSpace.Opens.map_iSup", "TopologicalSpace.Opens.map_id_eq", "TopologicalSpace.Opens.map_id_obj'", "TopologicalSpace.Opens.map_id_obj_unop", "TopologicalSpace.Opens.map_obj", "TopologicalSpace.Opens.map_top", "TopologicalSpace.Opens.mem_iSup", "TopologicalSpace.Opens.mem_mk", "TopologicalSpace.Opens.mem_sSup", "TopologicalSpace.Opens.mk_empty", "TopologicalSpace.Opens.mk_inf_mk", "TopologicalSpace.Opens.ne_bot_iff_nonempty", "TopologicalSpace.Opens.nonempty_coe", "TopologicalSpace.Opens.nonempty_coeSort", "TopologicalSpace.Opens.not_nonempty_iff_eq_bot", "TopologicalSpace.Opens.op_map_comp_obj", "TopologicalSpace.Opens.openEmbedding", "TopologicalSpace.Opens.openEmbedding'", "TopologicalSpace.Opens.openEmbedding_obj_top", "TopologicalSpace.Opens.partialHomeomorphSubtypeCoe_coe", "TopologicalSpace.Opens.partialHomeomorphSubtypeCoe_target", "TopologicalSpace.Opens.set_range_forget_map_inclusion", "TopologicalSpace.PositiveCompacts.carrier_eq_coe", "TopologicalSpace.PositiveCompacts.coe_map", "TopologicalSpace.PositiveCompacts.coe_mk", "TopologicalSpace.PositiveCompacts.coe_prod", "TopologicalSpace.PositiveCompacts.ext", "TopologicalSpace.PositiveCompacts.interior_nonempty", "TopologicalSpace.PositiveCompacts.isCompact", "TopologicalSpace.PositiveCompacts.map_comp", "TopologicalSpace.PositiveCompacts.map_id", "TopologicalSpace.PositiveCompacts.nonempty", "TopologicalSpace.Quotient.secondCountableTopology", "TopologicalSpace.SecondCountableTopology.mk'", "TopologicalSpace.SeparableSpace.of_denseRange", "TopologicalSpace.countable_countableBasis", "TopologicalSpace.countable_cover_nhds", "TopologicalSpace.countable_cover_nhdsWithin", "TopologicalSpace.denseRange_denseSeq", "TopologicalSpace.empty_nmem_countableBasis", "TopologicalSpace.eq_generateFrom_countableBasis", "TopologicalSpace.eq_induced_by_maps_to_sierpinski", "TopologicalSpace.exists_countable_basis", "TopologicalSpace.exists_countable_dense", "TopologicalSpace.exists_dense_seq", "TopologicalSpace.exists_embedding_l_infty", "TopologicalSpace.exists_inducing_l_infty", "TopologicalSpace.ext", "TopologicalSpace.ext_iff_isClosed", "TopologicalSpace.ext_iff_nhds", "TopologicalSpace.firstCountableTopology_induced", "TopologicalSpace.gc_generateFrom", "TopologicalSpace.generateFrom_surjective", "TopologicalSpace.isBasis_countableBasis", "TopologicalSpace.isOpen_biUnion_countable", "TopologicalSpace.isOpen_generateFrom_of_mem", "TopologicalSpace.isOpen_iUnion_countable", "TopologicalSpace.isOpen_sUnion_countable", "TopologicalSpace.isOpen_top_iff", "TopologicalSpace.isSeparable_closure", "TopologicalSpace.isSeparable_pi", "TopologicalSpace.isSeparable_range", "TopologicalSpace.isSeparable_union", "TopologicalSpace.isSeparable_univ_iff", "TopologicalSpace.isTopologicalBasis_of_cover", "TopologicalSpace.isTopologicalBasis_of_isOpen_of_nhds", "TopologicalSpace.isTopologicalBasis_of_subbasis", "TopologicalSpace.isTopologicalBasis_opens", "TopologicalSpace.le_def", "TopologicalSpace.le_generateFrom_iff_subset_isOpen", "TopologicalSpace.leftInverse_generateFrom", "TopologicalSpace.mkOfClosure_sets", "TopologicalSpace.nhds_generateFrom", "TopologicalSpace.nhds_mkOfNhds_filterBasis", "TopologicalSpace.nhds_mkOfNhds_of_hasBasis", "TopologicalSpace.nhds_mkOfNhds_single", "TopologicalSpace.noetherianSpace_TFAE", "TopologicalSpace.noetherianSpace_iff_isCompact", "TopologicalSpace.noetherianSpace_iff_of_homeomorph", "TopologicalSpace.noetherianSpace_iff_opens", "TopologicalSpace.noetherianSpace_of_surjective", "TopologicalSpace.noetherianSpace_set_iff", "TopologicalSpace.noetherian_univ_iff", "TopologicalSpace.productOfMemOpens_embedding", "TopologicalSpace.productOfMemOpens_inducing", "TopologicalSpace.productOfMemOpens_injective", "TopologicalSpace.secondCountableTopology_iInf", "TopologicalSpace.secondCountableTopology_induced", "TopologicalSpace.secondCountableTopology_of_countable_cover", "TopologicalSpace.separableSpace_iff_countable", "TopologicalSpace.setOf_isOpen_injective", "TopologicalSpace.tendsto_nhds_generateFrom_iff", "Topology.IsLawson.isTopologicalBasis", "Topology.IsLawson.singleton_isClosed", "Topology.IsLower.closure_singleton", "Topology.IsLower.continuous_iff_Ici", "Topology.IsLower.isClosed_upperClosure", "Topology.IsLower.isLowerSet_of_isOpen", "Topology.IsLower.isTopologicalBasis", "Topology.IsLower.scottHausdorff_le", "Topology.IsLower.topology_eq", "Topology.IsLowerSet.isClosed_iff_isUpper", "Topology.IsLowerSet.isOpen_iff_isLowerSet", "Topology.IsLowerSet.monotone_iff_continuous", "Topology.IsLowerSet.monotone_to_lowerTopology_continuous", "Topology.IsLowerSet.topology_eq", "Topology.IsScott.closure_singleton", "Topology.IsScott.isClosed_iff_isLowerSet_and_dirSupClosed", "Topology.IsScott.isLowerSet_of_isClosed", "Topology.IsScott.isOpen_iff_isUpperSet_and_dirSupInacc", "Topology.IsScott.isOpen_iff_isUpperSet_and_scottHausdorff_open", "Topology.IsScott.isUpperSet_of_isOpen", "Topology.IsScott.lowerClosure_subset_closure", "Topology.IsScott.monotone_of_continuous", "Topology.IsScott.scottContinuous_iff_continuous", "Topology.IsScott.scottHausdorff_le", "Topology.IsScott.topology_eq", "Topology.IsScottHausdorff.dirSupClosed_of_isClosed", "Topology.IsScottHausdorff.dirSupInacc_of_isOpen", "Topology.IsScottHausdorff.isClosed_of_isUpperSet", "Topology.IsScottHausdorff.isOpen_iff", "Topology.IsScottHausdorff.isOpen_of_isLowerSet", "Topology.IsScottHausdorff.topology_eq", "Topology.IsUpper.closure_singleton", "Topology.IsUpper.continuous_iff_Iic", "Topology.IsUpper.continuous_of_Iic", "Topology.IsUpper.isClosed_lowerClosure", "Topology.IsUpper.isOpen_iff_generate_Iic_compl", "Topology.IsUpper.isUpperSet_of_isOpen", "Topology.IsUpper.topology_eq", "Topology.IsUpperSet.closure_eq_lowerClosure", "Topology.IsUpperSet.closure_singleton", "Topology.IsUpperSet.isClosed_iff_isLower", "Topology.IsUpperSet.isOpen_iff_isUpperSet", "Topology.IsUpperSet.monotone_iff_continuous", "Topology.IsUpperSet.monotone_to_upperTopology_continuous", "Topology.IsUpperSet.topology_eq", "Topology.IsUpperSet.upperSet_le_upper", "Topology.WithLawson.ofLawson_inj", "Topology.WithLawson.ofLawson_toLawson", "Topology.WithLawson.toLawson_ofLawson", "Topology.WithLower.isOpen_def", "Topology.WithLower.ofLower_inj", "Topology.WithLower.ofLower_toLower", "Topology.WithLower.of_WithLower_symm_eq", "Topology.WithLower.toLower_inj", "Topology.WithLower.toLower_ofLower", "Topology.WithLowerSet.isLowerSet_toLowerSet_preimage", "Topology.WithLowerSet.isOpen_ofLowerSet_preimage", "Topology.WithLowerSet.map_comp", "Topology.WithLowerSet.map_id", "Topology.WithLowerSet.ofLowerSet_inj", "Topology.WithLowerSet.ofLowerSet_le_ofLowerSet", "Topology.WithLowerSet.ofLowerSet_toLowerSet", "Topology.WithLowerSet.toLowerSet_inj", "Topology.WithLowerSet.toLowerSet_le_iff", "Topology.WithLowerSet.toLowerSet_ofLowerSet", "Topology.WithLowerSet.toLowerSet_specializes_toLowerSet", "Topology.WithLowerSet.to_WithLowerSet_symm_eq", "Topology.WithScott.isOpen_iff_isUpperSet_and_scottHausdorff_open'", "Topology.WithScott.ofScott_inj", "Topology.WithScott.ofScott_symm_eq", "Topology.WithScott.toScott_ofScott", "Topology.WithUpper.isOpen_def", "Topology.WithUpper.isOpen_preimage_ofUpper", "Topology.WithUpper.ofUpper_toUpper", "Topology.WithUpper.of_WithUpper_symm_eq", "Topology.WithUpper.to_WithUpper_symm_eq", "Topology.WithUpperSet.isUpperSet_toUpperSet_preimage", "Topology.WithUpperSet.map_id", "Topology.WithUpperSet.ofUpperSet_inj", "Topology.WithUpperSet.ofUpperSet_toUpperSet", "Topology.WithUpperSet.of_WithUpperSet_symm_eq", "Topology.WithUpperSet.toUpperSet_inj", "Topology.WithUpperSet.toUpperSet_le_iff", "Topology.WithUpperSet.toUpperSet_ofUpperSet", "Topology.WithUpperSet.toUpperSet_specializes_toUpperSet", "Topology.WithUpperSet.to_WithUpperSet_symm_eq", "Topology.isLawson_le_isScott", "Topology.isUpper_orderDual", "Topology.lawsonClosed_iff_scottClosed_of_isLowerSet", "Topology.lawsonClosed_of_lowerClosed", "Topology.lawsonOpen_iff_scottOpen_of_isUpperSet", "Topology.lawsonOpen_iff_scottOpen_of_isUpperSet'", "Topology.scottHausdorff_le_lawson", "Topology.scottHausdorff_le_scott", "Topology.upperSet_le_scott", "TorusIntegrable.function_integrable", "TorusIntegrable.torusIntegrable_zero_radius", "TotallyBounded.closure", "TotallyBounded.exists_subset", "TotallyBounded.image", "TotallyBounded.isBounded", "TotallyBounded.isSeparable", "TotallyBounded.isVonNBounded", "Transcendental.irrational", "Transcendental.pow", "Traversable.Free.map_eq_map", "Traversable.comp_sequence", "Traversable.foldMap_hom", "Traversable.foldMap_hom_free", "Traversable.foldMap_map", "Traversable.foldl.ofFreeMonoid_comp_of", "Traversable.foldl.unop_ofFreeMonoid", "Traversable.foldl_map", "Traversable.foldl_toList", "Traversable.foldlm.ofFreeMonoid_comp_of", "Traversable.foldlm_map", "Traversable.foldlm_toList", "Traversable.foldr.ofFreeMonoid_comp_of", "Traversable.foldr_map", "Traversable.foldr_toList", "Traversable.foldrm.ofFreeMonoid_comp_of", "Traversable.foldrm_map", "Traversable.foldrm_toList", "Traversable.id_sequence", "Traversable.length_toList", "Traversable.map_eq_traverse_id", "Traversable.map_traverse", "Traversable.map_traverse'", "Traversable.naturality'", "Traversable.naturality_pf", "Traversable.pure_traverse", "Traversable.toList_eq_self", "Traversable.toList_map", "Traversable.toList_spec", "Traversable.traverse_comp", "Traversable.traverse_eq_map_id'", "Traversable.traverse_id", "Traversable.traverse_map", "Traversable.traverse_map'", "Tree.coe_treesOfNumNodesEq", "Tree.height_le_numNodes", "Tree.left_node_right_eq_self", "Tree.mem_treesOfNumNodesEq_numNodes", "Tree.numLeaves_eq_numNodes_succ", "Tree.numLeaves_pos", "Tree.treesOfNumNodesEq_card_eq_catalan", "Tree.treesOfNumNodesEq_succ", "Tree.treesOfNumNodesEq_zero", "TrivSqZeroExt.algHom_ext", "TrivSqZeroExt.algHom_ext'", "TrivSqZeroExt.algebraMap_eq_inl", "TrivSqZeroExt.continuous_fst", "TrivSqZeroExt.continuous_inl", "TrivSqZeroExt.continuous_snd", "TrivSqZeroExt.embedding_inr", "TrivSqZeroExt.eq_smul_exp_of_invertible", "TrivSqZeroExt.eq_smul_exp_of_ne_zero", "TrivSqZeroExt.exp_def", "TrivSqZeroExt.exp_def_of_smul_comm", "TrivSqZeroExt.exp_inl", "TrivSqZeroExt.exp_inr", "TrivSqZeroExt.fstHom_comp_map", "TrivSqZeroExt.fst_add", "TrivSqZeroExt.fst_comp_inl", "TrivSqZeroExt.fst_comp_inr", "TrivSqZeroExt.fst_exp", "TrivSqZeroExt.fst_expSeries", "TrivSqZeroExt.fst_inl", "TrivSqZeroExt.fst_inr", "TrivSqZeroExt.fst_intCast", "TrivSqZeroExt.fst_inv", "TrivSqZeroExt.fst_mul", "TrivSqZeroExt.fst_natCast", "TrivSqZeroExt.fst_neg", "TrivSqZeroExt.fst_one", "TrivSqZeroExt.fst_smul", "TrivSqZeroExt.fst_sum", "TrivSqZeroExt.fst_zero", "TrivSqZeroExt.hasSum_expSeries_of_smul_comm", "TrivSqZeroExt.hasSum_inl", "TrivSqZeroExt.hasSum_snd", "TrivSqZeroExt.hasSum_snd_expSeries_of_smul_comm", "TrivSqZeroExt.inl_add", "TrivSqZeroExt.inl_injective", "TrivSqZeroExt.inl_mul", "TrivSqZeroExt.inl_mul_eq_smul", "TrivSqZeroExt.inl_mul_inl", "TrivSqZeroExt.inl_mul_inr", "TrivSqZeroExt.inl_natCast", "TrivSqZeroExt.inl_neg", "TrivSqZeroExt.inl_one", "TrivSqZeroExt.inl_pow", "TrivSqZeroExt.inl_smul", "TrivSqZeroExt.inl_sub", "TrivSqZeroExt.inl_sum", "TrivSqZeroExt.inl_zero", "TrivSqZeroExt.inr_injective", "TrivSqZeroExt.inr_mul_inl", "TrivSqZeroExt.inr_mul_inr", "TrivSqZeroExt.inr_neg", "TrivSqZeroExt.inr_smul", "TrivSqZeroExt.inr_sum", "TrivSqZeroExt.inr_zero", "TrivSqZeroExt.inv_inl", "TrivSqZeroExt.inv_inr", "TrivSqZeroExt.inv_inv", "TrivSqZeroExt.inv_mul_cancel", "TrivSqZeroExt.inv_one", "TrivSqZeroExt.inv_zero", "TrivSqZeroExt.lift_apply_inl", "TrivSqZeroExt.lift_apply_inr", "TrivSqZeroExt.lift_comp_inlHom", "TrivSqZeroExt.lift_comp_inrHom", "TrivSqZeroExt.lift_def", "TrivSqZeroExt.linearMap_ext", "TrivSqZeroExt.map_comp_inrHom", "TrivSqZeroExt.map_comp_map", "TrivSqZeroExt.map_id", "TrivSqZeroExt.map_inr", "TrivSqZeroExt.mul_inl_eq_op_smul", "TrivSqZeroExt.mul_inv_cancel", "TrivSqZeroExt.mul_inv_rev", "TrivSqZeroExt.nhds_def", "TrivSqZeroExt.nhds_inl", "TrivSqZeroExt.nnnorm_def", "TrivSqZeroExt.nnnorm_inl", "TrivSqZeroExt.nnnorm_inr", "TrivSqZeroExt.norm_def", "TrivSqZeroExt.norm_inl", "TrivSqZeroExt.snd_add", "TrivSqZeroExt.snd_comp_inl", "TrivSqZeroExt.snd_comp_inr", "TrivSqZeroExt.snd_exp", "TrivSqZeroExt.snd_expSeries_of_smul_comm", "TrivSqZeroExt.snd_inl", "TrivSqZeroExt.snd_inr", "TrivSqZeroExt.snd_inv", "TrivSqZeroExt.snd_list_prod", "TrivSqZeroExt.snd_map", "TrivSqZeroExt.snd_mk", "TrivSqZeroExt.snd_mul", "TrivSqZeroExt.snd_one", "TrivSqZeroExt.snd_pow_eq_sum", "TrivSqZeroExt.snd_pow_of_smul_comm", "TrivSqZeroExt.snd_pow_of_smul_comm'", "TrivSqZeroExt.snd_smul", "TrivSqZeroExt.snd_sub", "TrivSqZeroExt.snd_sum", "TrivSqZeroExt.snd_zero", "TrivSqZeroExt.topologicalSemiring", "TrivSqZeroExt.uniformContinuous_inl", "TrivSqZeroExt.uniformContinuous_inr", "TrivSqZeroExt.uniformContinuous_snd", "TrivSqZeroExt.uniformity_def", "Trivialization.Prod.continuous_inv_fun", "Trivialization.Prod.continuous_to_fun", "Trivialization.Prod.left_inv", "Trivialization.Prod.right_inv", "Trivialization.apply_eq_prod_continuousLinearEquivAt", "Trivialization.apply_mk_symm", "Trivialization.apply_symm_apply'", "Trivialization.baseSet_continuousLinearMap", "Trivialization.coe_coe", "Trivialization.coe_coe_fst", "Trivialization.coe_coordChangeL", "Trivialization.coe_coordChangeL'", "Trivialization.coe_fst", "Trivialization.coe_fst'", "Trivialization.coe_fst_eventuallyEq_proj", "Trivialization.coe_linearMapAt", "Trivialization.coe_linearMapAt_of_mem", "Trivialization.coe_mem_source", "Trivialization.coe_mk", "Trivialization.contMDiffAt_iff", "Trivialization.contMDiffOn_iff", "Trivialization.contMDiffOn_symm_trans", "Trivialization.contMDiffWithinAt_iff", "Trivialization.contMDiffWithinAt_snd_comp_iff\u2082", "Trivialization.continuousAt_of_comp_left", "Trivialization.continuousAt_of_comp_right", "Trivialization.continuousLinearEquivAt_apply'", "Trivialization.continuousLinearEquivAt_prod", "Trivialization.continuousLinearMapAt_symmL", "Trivialization.continuousLinearMap_apply", "Trivialization.continuousOn_symm", "Trivialization.continuous_coordChange", "Trivialization.coordChangeHomeomorph_coe", "Trivialization.coordChangeL_apply", "Trivialization.coordChangeL_apply'", "Trivialization.coordChangeL_prod", "Trivialization.coordChange_apply_snd", "Trivialization.coordChange_same", "Trivialization.eqOn", "Trivialization.frontier_preimage", "Trivialization.linear", "Trivialization.linearEquivAt_apply", "Trivialization.linearMapAt_def_of_mem", "Trivialization.linearMapAt_def_of_not_mem", "Trivialization.linearMapAt_symm\u2097", "Trivialization.map_proj_nhds", "Trivialization.map_target", "Trivialization.mdifferentiable", "Trivialization.mem_source", "Trivialization.mem_target", "Trivialization.mk_coordChange", "Trivialization.mk_mem_target", "Trivialization.mk_proj_snd", "Trivialization.mk_proj_snd'", "Trivialization.mk_symm", "Trivialization.nhds_eq_inf_comap", "Trivialization.preimageHomeomorph_apply", "Trivialization.preimageHomeomorph_symm_apply", "Trivialization.preimageSingletonHomeomorph_apply", "Trivialization.preimageSingletonHomeomorph_symm_apply", "Trivialization.prod_apply", "Trivialization.prod_symm_apply", "Trivialization.proj_symm_apply", "Trivialization.smoothAt_iff", "Trivialization.smoothOn", "Trivialization.smoothOn_iff", "Trivialization.smoothOn_symm", "Trivialization.sourceHomeomorphBaseSetProd_apply", "Trivialization.symmL_continuousLinearMapAt", "Trivialization.symm_apply", "Trivialization.symm_apply_apply_mk", "Trivialization.symm_apply_eq_mk_continuousLinearEquivAt_symm", "Trivialization.symm_coe_proj", "Trivialization.symm_continuousLinearEquivAt_eq", "Trivialization.symm_coordChangeL", "Trivialization.symm_proj_apply", "Trivialization.symm\u2097_linearMapAt", "Trivialization.tendsto_nhds_iff", "Trivialization.toPretrivialization_injective", "Trivialization.transFiberHomeomorph_apply", "Trivialization.zeroSection", "Tropical.add_eq_iff", "Tropical.add_eq_left_iff", "Tropical.add_eq_right", "Tropical.add_eq_right_iff", "Tropical.add_eq_zero_iff", "Tropical.add_pow", "Tropical.add_self", "Tropical.bit0", "Tropical.injective_untrop", "Tropical.le_zero", "Tropical.leftInverse_trop", "Tropical.min_eq_add", "Tropical.mul_eq_zero_iff", "Tropical.rightInverse_trop", "Tropical.succ_nsmul", "Tropical.surjective_trop", "Tropical.surjective_untrop", "Tropical.tropEquiv_coe_fn", "Tropical.tropEquiv_symm_coe_fn", "Tropical.tropOrderIso_coe_fn", "Tropical.tropOrderIso_symm_coe_fn", "Tropical.trop_add", "Tropical.trop_add_def", "Tropical.trop_eq_iff_eq_untrop", "Tropical.trop_inj_iff", "Tropical.trop_injective", "Tropical.trop_max_def", "Tropical.trop_min", "Tropical.trop_nsmul", "Tropical.trop_top", "Tropical.trop_untrop", "Tropical.trop_zero", "Tropical.untrop_add", "Tropical.untrop_div", "Tropical.untrop_eq_iff_eq_trop", "Tropical.untrop_injective", "Tropical.untrop_inv", "Tropical.untrop_le_iff", "Tropical.untrop_lt_iff", "Tropical.untrop_max", "Tropical.untrop_mul", "Tropical.untrop_one", "Tropical.untrop_pow", "Tropical.untrop_sup", "Tropical.untrop_zero", "Tropical.zero_ne_trop_coe", "Trunc.eq", "Trunc.exists_rep", "Trunc.finChoice_eq", "Trunc.ind", "Trunc.induction_on", "Trunc.induction_on\u2082", "Trunc.lift_mk", "Trunc.nonempty", "Trunc.out_eq", "TruncatedWittVector.card", "TruncatedWittVector.card_zmod", "TruncatedWittVector.charP_zmod", "TruncatedWittVector.coeff_mk", "TruncatedWittVector.coeff_out", "TruncatedWittVector.coeff_truncate", "TruncatedWittVector.coeff_zero", "TruncatedWittVector.commutes", "TruncatedWittVector.commutes'", "TruncatedWittVector.commutes_symm'", "TruncatedWittVector.eq_of_le_of_cast_pow_eq_zero", "TruncatedWittVector.ext_iff", "TruncatedWittVector.iInf_ker_truncate", "TruncatedWittVector.mk_coeff", "TruncatedWittVector.out_injective", "TruncatedWittVector.truncateFun_out", "TruncatedWittVector.truncate_comp", "TruncatedWittVector.truncate_comp_wittVector_truncate", "TruncatedWittVector.truncate_surjective", "TruncatedWittVector.truncate_truncate", "TruncatedWittVector.truncate_wittVector_truncate", "TsirelsonInequality.sqrt_two_inv_mul_self", "TsirelsonInequality.tsirelson_inequality_aux", "Tuple.antitone_pair_of_not_sorted", "Tuple.antitone_pair_of_not_sorted'", "Tuple.bubble_sort_induction", "Tuple.bubble_sort_induction'", "Tuple.comp_perm_comp_sort_eq_comp_sort", "Tuple.comp_sort_eq_comp_iff_monotone", "Tuple.eq_sort_iff", "Tuple.eq_sort_iff'", "Tuple.graph.card", "Tuple.graphEquiv\u2082_apply", "Tuple.lt_card_ge_iff_apply_ge_of_antitone", "Tuple.lt_card_le_iff_apply_le_of_monotone", "Tuple.monotone_proj", "Tuple.monotone_sort", "Tuple.proj_equiv\u2081'", "Tuple.self_comp_sort", "Tuple.sort_eq_refl_iff_monotone", "Tuple.unique_monotone", "Turing.BlankExtends.above_of_le", "Turing.BlankExtends.below_of_le", "Turing.BlankExtends.refl", "Turing.BlankExtends.trans", "Turing.BlankRel.equivalence", "Turing.BlankRel.trans", "Turing.ListBlank.append_assoc", "Turing.ListBlank.append_mk", "Turing.ListBlank.cons_bind", "Turing.ListBlank.cons_head_tail", "Turing.ListBlank.cons_mk", "Turing.ListBlank.exists_cons", "Turing.ListBlank.ext", "Turing.ListBlank.head_cons", "Turing.ListBlank.head_map", "Turing.ListBlank.head_mk", "Turing.ListBlank.map_cons", "Turing.ListBlank.map_mk", "Turing.ListBlank.map_modifyNth", "Turing.ListBlank.nth_map", "Turing.ListBlank.nth_mk", "Turing.ListBlank.nth_modifyNth", "Turing.ListBlank.nth_succ", "Turing.ListBlank.nth_zero", "Turing.ListBlank.tail_cons", "Turing.ListBlank.tail_map", "Turing.ListBlank.tail_mk", "Turing.PartrecToTM2.K'.elim_aux", "Turing.PartrecToTM2.K'.elim_main", "Turing.PartrecToTM2.K'.elim_rev", "Turing.PartrecToTM2.K'.elim_stack", "Turing.PartrecToTM2.K'.elim_update_main", "Turing.PartrecToTM2.K'.elim_update_rev", "Turing.PartrecToTM2.K'.elim_update_stack", "Turing.PartrecToTM2.clear_ok", "Turing.PartrecToTM2.codeSupp'_self", "Turing.PartrecToTM2.codeSupp'_supports", "Turing.PartrecToTM2.codeSupp_case", "Turing.PartrecToTM2.codeSupp_comp", "Turing.PartrecToTM2.codeSupp_cons", "Turing.PartrecToTM2.codeSupp_fix", "Turing.PartrecToTM2.codeSupp_self", "Turing.PartrecToTM2.codeSupp_succ", "Turing.PartrecToTM2.codeSupp_supports", "Turing.PartrecToTM2.codeSupp_tail", "Turing.PartrecToTM2.contSupp_comp", "Turing.PartrecToTM2.contSupp_cons\u2081", "Turing.PartrecToTM2.contSupp_cons\u2082", "Turing.PartrecToTM2.contSupp_fix", "Turing.PartrecToTM2.contSupp_halt", "Turing.PartrecToTM2.contSupp_supports", "Turing.PartrecToTM2.copy_ok", "Turing.PartrecToTM2.head_main_ok", "Turing.PartrecToTM2.head_stack_ok", "Turing.PartrecToTM2.head_supports", "Turing.PartrecToTM2.move_ok", "Turing.PartrecToTM2.move\u2082_ok", "Turing.PartrecToTM2.pred_ok", "Turing.PartrecToTM2.ret_supports", "Turing.PartrecToTM2.splitAtPred_eq", "Turing.PartrecToTM2.splitAtPred_false", "Turing.PartrecToTM2.succ_ok", "Turing.PartrecToTM2.supports_biUnion", "Turing.PartrecToTM2.supports_insert", "Turing.PartrecToTM2.supports_singleton", "Turing.PartrecToTM2.supports_union", "Turing.PartrecToTM2.trList_ne_cons\u2097", "Turing.PartrecToTM2.trNat_default", "Turing.PartrecToTM2.trNat_natEnd", "Turing.PartrecToTM2.trNat_zero", "Turing.PartrecToTM2.trNormal_respects", "Turing.PartrecToTM2.trNormal_supports", "Turing.PartrecToTM2.trNum_natEnd", "Turing.PartrecToTM2.trPosNum_natEnd", "Turing.PartrecToTM2.trStmts\u2081_self", "Turing.PartrecToTM2.trStmts\u2081_supports", "Turing.PartrecToTM2.trStmts\u2081_supports'", "Turing.PartrecToTM2.trStmts\u2081_trans", "Turing.PartrecToTM2.tr_clear", "Turing.PartrecToTM2.tr_copy", "Turing.PartrecToTM2.tr_eval", "Turing.PartrecToTM2.tr_move", "Turing.PartrecToTM2.tr_pred", "Turing.PartrecToTM2.tr_read", "Turing.PartrecToTM2.tr_respects", "Turing.PartrecToTM2.tr_ret_comp", "Turing.PartrecToTM2.tr_ret_cons\u2081", "Turing.PartrecToTM2.tr_ret_cons\u2082", "Turing.PartrecToTM2.tr_ret_fix", "Turing.PartrecToTM2.tr_ret_halt", "Turing.PartrecToTM2.tr_ret_respects", "Turing.PartrecToTM2.unrev_ok", "Turing.PointedMap.map_pt", "Turing.PointedMap.mk_val", "Turing.Reaches\u2080.refl", "Turing.Reaches\u2080.single", "Turing.Reaches\u2080.tail", "Turing.Reaches\u2080.tail'", "Turing.Reaches\u2081.to\u2080", "Turing.TM0.Machine.map_respects", "Turing.TM0.Machine.map_step", "Turing.TM0.univ_supports", "Turing.TM0to1.tr_respects", "Turing.TM1.step_supports", "Turing.TM1.stmts_supportsStmt", "Turing.TM1.stmts_trans", "Turing.TM1.stmts\u2081_self", "Turing.TM1.stmts\u2081_supportsStmt_mono", "Turing.TM1.stmts\u2081_trans", "Turing.TM1to0.tr_eval", "Turing.TM1to0.tr_respects", "Turing.TM1to0.tr_supports", "Turing.TM1to1.exists_enc_dec", "Turing.TM1to1.stepAux_move", "Turing.TM1to1.stepAux_read", "Turing.TM1to1.stepAux_write", "Turing.TM1to1.supportsStmt_move", "Turing.TM1to1.supportsStmt_write", "Turing.TM1to1.trTape'_move_left", "Turing.TM1to1.trTape'_move_right", "Turing.TM1to1.trTape_mk'", "Turing.TM1to1.tr_respects", "Turing.TM1to1.tr_supports", "Turing.TM2.step_supports", "Turing.TM2.stmts_supportsStmt", "Turing.TM2.stmts_trans", "Turing.TM2.stmts\u2081_self", "Turing.TM2.stmts\u2081_supportsStmt_mono", "Turing.TM2.stmts\u2081_trans", "Turing.TM2to1.addBottom_head_fst", "Turing.TM2to1.addBottom_map", "Turing.TM2to1.addBottom_modifyNth", "Turing.TM2to1.addBottom_nth_snd", "Turing.TM2to1.addBottom_nth_succ_fst", "Turing.TM2to1.step_run", "Turing.TM2to1.stk_nth_val", "Turing.TM2to1.trCfg_init", "Turing.TM2to1.trNormal_run", "Turing.TM2to1.tr_eval", "Turing.TM2to1.tr_eval_dom", "Turing.TM2to1.tr_respects", "Turing.TM2to1.tr_respects_aux", "Turing.TM2to1.tr_respects_aux\u2081", "Turing.TM2to1.tr_respects_aux\u2082", "Turing.TM2to1.tr_respects_aux\u2083", "Turing.TM2to1.tr_supports", "Turing.Tape.exists_mk'", "Turing.Tape.map_fst", "Turing.Tape.map_mk'", "Turing.Tape.map_mk\u2081", "Turing.Tape.map_mk\u2082", "Turing.Tape.map_move", "Turing.Tape.map_write", "Turing.Tape.mk'_head", "Turing.Tape.mk'_left", "Turing.Tape.mk'_left_right\u2080", "Turing.Tape.mk'_nth_nat", "Turing.Tape.mk'_right\u2080", "Turing.Tape.move_left_mk'", "Turing.Tape.move_left_nth", "Turing.Tape.move_left_right", "Turing.Tape.move_right_left", "Turing.Tape.move_right_mk'", "Turing.Tape.move_right_n_head", "Turing.Tape.move_right_nth", "Turing.Tape.right\u2080_nth", "Turing.Tape.write_mk'", "Turing.Tape.write_move_right_n", "Turing.Tape.write_nth", "Turing.Tape.write_self", "Turing.ToPartrec.Code.Ok.zero", "Turing.ToPartrec.Code.comp_eval", "Turing.ToPartrec.Code.cons_eval", "Turing.ToPartrec.Code.exists_code", "Turing.ToPartrec.Code.exists_code.comp", "Turing.ToPartrec.Code.fix_eval", "Turing.ToPartrec.Code.head_eval", "Turing.ToPartrec.Code.tail_eval", "Turing.ToPartrec.Code.zero_eval", "Turing.ToPartrec.Cont.then_eval", "Turing.ToPartrec.code_is_ok", "Turing.ToPartrec.cont_eval_fix", "Turing.ToPartrec.stepNormal.is_ret", "Turing.ToPartrec.stepNormal_eval", "Turing.ToPartrec.stepNormal_then", "Turing.ToPartrec.stepRet_eval", "Turing.ToPartrec.stepRet_then", "Turing.eval_maximal", "Turing.eval_maximal\u2081", "Turing.frespects_eq", "Turing.fun_respects", "Turing.mem_eval", "Turing.proj_map_nth", "Turing.reaches_eval", "Turing.reaches_total", "Turing.reaches\u2080_eq", "Turing.reaches\u2081_eq", "Turing.reaches\u2081_fwd", "Turing.tr_eval", "Turing.tr_eval'", "Turing.tr_eval_dom", "Turing.tr_eval_rev", "Turing.tr_reaches", "Turing.tr_reaches_rev", "Turing.tr_reaches\u2081", "TwoP.coe_of", "TwoP.swapEquiv_symm", "TwoP_swap_comp_forget_to_Bipointed", "TwoPointing.bool_fst", "TwoPointing.bool_snd", "TwoPointing.nonempty_two_pointing_iff", "TwoPointing.pi_snd", "TwoPointing.prod_fst", "TwoPointing.prod_snd", "TwoPointing.prop_fst", "TwoPointing.sum_fst", "TwoPointing.sum_snd", "TwoPointing.swap_fst", "TwoPointing.to_nontrivial", "TwoUniqueProds.of_injective_mulHom", "TwoUniqueProds.of_mulHom", "TwoUniqueProds.of_mulOpposite", "TypeVec.append1_drop_last", "TypeVec.appendFun_aux", "TypeVec.appendFun_comp", "TypeVec.appendFun_comp_id", "TypeVec.appendFun_comp_splitFun", "TypeVec.appendFun_id_id", "TypeVec.appendFun_inj", "TypeVec.casesCons_append1", "TypeVec.casesNil_append1", "TypeVec.comp_assoc", "TypeVec.comp_id", "TypeVec.const_append1", "TypeVec.const_iff_true", "TypeVec.const_nil", "TypeVec.diag_sub_val", "TypeVec.dropFun_appendFun", "TypeVec.dropFun_comp", "TypeVec.dropFun_from_append1_drop_last", "TypeVec.dropFun_id", "TypeVec.dropFun_of_subtype", "TypeVec.dropFun_splitFun", "TypeVec.dropFun_subtypeVal", "TypeVec.drop_append1", "TypeVec.drop_append1'", "TypeVec.eq_of_drop_last_eq", "TypeVec.fst_diag", "TypeVec.fst_prod_mk", "TypeVec.id_comp", "TypeVec.id_eq_nilFun", "TypeVec.lastFun_appendFun", "TypeVec.lastFun_comp", "TypeVec.lastFun_from_append1_drop_last", "TypeVec.lastFun_prod", "TypeVec.lastFun_splitFun", "TypeVec.lastFun_subtypeVal", "TypeVec.lastFun_toSubtype", "TypeVec.prod_fst_mk", "TypeVec.prod_snd_mk", "TypeVec.repeat_eq_append1", "TypeVec.repeat_eq_nil", "TypeVec.snd_diag", "TypeVec.snd_prod_mk", "TypeVec.splitFun_comp", "TypeVec.split_dropFun_lastFun", "TypeVec.subtypeVal_diagSub", "TypeVec.subtypeVal_nil", "TypeVec.subtypeVal_toSubtype", "TypeVec.subtypeVal_toSubtype'", "TypeVec.toSubtype'_of_subtype'", "TypeVec.toSubtype_of_subtype", "TypeVec.toSubtype_of_subtype_assoc", "TypeVec.typevecCasesCons\u2082_appendFun", "TypeVec.typevecCasesNil\u2082_appendFun", "UFModel.Agrees.empty", "UFModel.Agrees.get_eq", "UFModel.Agrees.get_eq'", "UFModel.Agrees.push", "UFModel.Agrees.set", "UFModel.Models.empty", "UFModel.Models.parent_eq", "UFModel.Models.parent_eq'", "UFModel.Models.push", "UFModel.Models.setParent", "UInt16.ext", "UInt16.le_antisymm_iff", "UInt16.toNat_add", "UInt16.toNat_mod", "UInt16.toNat_mul", "UInt16.toNat_ofNat", "UInt16.toNat_sub", "UInt16.toNat_zero", "UInt16.toUInt64_toNat", "UInt16.val_ofNat", "UInt16.val_val_eq_toNat", "UInt32.ext_iff", "UInt32.le_antisymm", "UInt32.le_antisymm_iff", "UInt32.toNat_mod", "UInt32.toNat_mul", "UInt32.toNat_sub", "UInt32.toUInt16_toNat", "UInt32.toUInt8_toNat", "UInt32.toUSize_toNat", "UInt32.val_ofNat", "UInt32.val_val_eq_toNat", "UInt64.le_antisymm", "UInt64.le_antisymm_iff", "UInt64.toNat_add", "UInt64.toNat_modn", "UInt64.toNat_mul", "UInt64.toNat_ofNat", "UInt64.toNat_sub", "UInt64.toNat_zero", "UInt64.toUInt32_toNat", "UInt64.val_ofNat", "UInt64.val_val_eq_toNat", "UInt8.ext", "UInt8.ext_iff", "UInt8.le_antisymm", "UInt8.le_antisymm_iff", "UInt8.toNat_add", "UInt8.toNat_div", "UInt8.toNat_mod", "UInt8.toNat_ofNat", "UInt8.toNat_sub", "UInt8.toUInt16_toNat", "UInt8.toUInt64_toNat", "UInt8.val_val_eq_toNat", "ULift.closedEmbedding_down", "ULift.dist_eq", "ULift.down_algebraMap", "ULift.down_bijective", "ULift.down_compare", "ULift.down_compl", "ULift.down_iInf", "ULift.down_iSup", "ULift.down_inf", "ULift.down_inj", "ULift.down_injective", "ULift.down_lt", "ULift.down_natCast", "ULift.down_ofNat", "ULift.down_ratCast", "ULift.down_sInf", "ULift.down_sSup", "ULift.down_sdiff", "ULift.down_surjective", "ULift.down_top", "ULift.edist_eq", "ULift.edist_up_up", "ULift.exists", "ULift.ext", "ULift.isClosed_iff", "ULift.isOpen_iff", "ULift.map_bijective", "ULift.map_injective", "ULift.map_surjective", "ULift.map_up", "ULift.mul_down", "ULift.nndist_up_up", "ULift.nnnorm_def", "ULift.nnnorm_down", "ULift.nnnorm_up", "ULift.norm_down", "ULift.one_down", "ULift.pow_down", "ULift.smul_down", "ULift.up_bijective", "ULift.up_bot", "ULift.up_compl", "ULift.up_iInf", "ULift.up_inj", "ULift.up_injective", "ULift.up_le", "ULift.up_lt", "ULift.up_natCast", "ULift.up_nnratCast", "ULift.up_ofNat", "ULift.up_sInf", "ULift.up_sup", "ULift.up_surjective", "ULift.up_top", "ULiftable.down_up", "ULiftable.up_down", "ULower.down_computable", "ULower.up_down", "USize.ext", "USize.le_antisymm", "USize.le_antisymm_iff", "USize.le_size", "USize.size_le", "USize.toNat_add", "USize.toNat_div", "USize.toNat_lt", "USize.toNat_modn", "USize.toNat_ofNat", "USize.toNat_sub", "USize.toNat_zero", "USize.toUInt64_toNat", "USize.val_ofNat", "USize.val_val_eq_toNat", "UV.IsCompressed.eq", "UV.aux", "UV.card_compress", "UV.card_compression", "UV.card_shadow_compression_le", "UV.compress_idem", "UV.compress_injOn", "UV.compress_mem_compression", "UV.compress_mem_compression_of_mem_compression", "UV.compress_of_disjoint_of_le", "UV.compress_of_disjoint_of_le'", "UV.compress_sdiff_sdiff", "UV.compress_self", "UV.compression_idem", "UV.compression_self", "UV.disjoint_of_mem_compression_of_not_mem", "UV.le_of_mem_compression_of_not_mem", "UV.mem_compression", "UV.mem_of_mem_compression", "UV.shadow_compression_subset_compression_shadow", "UV.sup_sdiff_mem_of_mem_compression", "UV.sup_sdiff_mem_of_mem_compression_of_not_mem", "Ultrafilter.cauchy_of_totallyBounded", "Ultrafilter.coe_inj", "Ultrafilter.coe_injective", "Ultrafilter.coe_le_coe", "Ultrafilter.coe_map", "Ultrafilter.coe_pure", "Ultrafilter.comap_comap", "Ultrafilter.comap_id", "Ultrafilter.comap_inf_principal_neBot_of_image_mem", "Ultrafilter.comap_pure", "Ultrafilter.compl_mem_iff_not_mem", "Ultrafilter.compl_not_mem_iff", "Ultrafilter.continuous_mul_left", "Ultrafilter.diff_mem_iff", "Ultrafilter.disjoint_iff_not_le", "Ultrafilter.em", "Ultrafilter.empty_not_mem", "Ultrafilter.eq_pure_of_finite", "Ultrafilter.eq_pure_of_finite_mem", "Ultrafilter.eventually_imp", "Ultrafilter.eventually_mul", "Ultrafilter.eventually_not", "Ultrafilter.eventually_or", "Ultrafilter.exists_le", "Ultrafilter.ext", "Ultrafilter.finite_biUnion_mem_iff", "Ultrafilter.finite_sUnion_mem_iff", "Ultrafilter.frequently_iff_eventually", "Ultrafilter.inf_neBot_iff", "Ultrafilter.isAtom", "Ultrafilter.le_of_inf_neBot'", "Ultrafilter.le_sup_iff", "Ultrafilter.lim_eq_iff_le_nhds", "Ultrafilter.map_id'", "Ultrafilter.map_map", "Ultrafilter.map_pure", "Ultrafilter.mem_comap", "Ultrafilter.mem_map", "Ultrafilter.mem_or_compl_mem", "Ultrafilter.mem_pure", "Ultrafilter.ne_empty_of_mem", "Ultrafilter.nonempty_of_mem", "Ultrafilter.ofComapInfPrincipal_eq_of_map", "Ultrafilter.ofComapInfPrincipal_mem", "Ultrafilter.of_le", "Ultrafilter.tendsto_pure_self", "Ultrafilter.union_mem_iff", "Ultrafilter.unique", "Uncountable.of_equiv", "Uniform.continuousAt_iff'_left", "Uniform.continuousAt_iff'_right", "Uniform.continuousOn_iff'_left", "Uniform.continuousOn_iff'_right", "Uniform.continuousWithinAt_iff'_left", "Uniform.continuousWithinAt_iff'_right", "Uniform.continuous_iff'_left", "Uniform.continuous_iff'_right", "Uniform.exists_is_open_mem_uniformity_of_forall_mem_eq", "Uniform.tendsto_congr", "Uniform.tendsto_nhds_right", "UniformCauchySeqOn.cauchy_map", "UniformCauchySeqOn.comp", "UniformCauchySeqOn.div", "UniformCauchySeqOn.mul", "UniformCauchySeqOn.prod'", "UniformCauchySeqOn.prod_map", "UniformCauchySeqOnFilter.comp", "UniformCauchySeqOnFilter.mono_right", "UniformCauchySeqOnFilter.one_smulRight", "UniformCauchySeqOnFilter.tendstoUniformlyOnFilter_of_tendsto", "UniformConcaveOn.add", "UniformConcaveOn.neg", "UniformConcaveOn.strictConcaveOn", "UniformConcaveOn.sub", "UniformContinuous.comp", "UniformContinuous.comp_tendstoUniformly", "UniformContinuous.comp_tendstoUniformlyOnFilter", "UniformContinuous.comp_uniformCauchySeqOn", "UniformContinuous.continuous", "UniformContinuous.div", "UniformContinuous.inf_dom_right", "UniformContinuous.inf_rng", "UniformContinuous.inv", "UniformContinuous.iterate", "UniformContinuous.mul", "UniformContinuous.nndist", "UniformContinuous.pow_const", "UniformContinuous.prod_map", "UniformContinuous.prod_mk", "UniformContinuous.prod_mk_left", "UniformContinuous.prod_mk_right", "UniformContinuous.zpow_const", "UniformContinuousOn.continuousOn", "UniformContinuousOn.tendstoUniformly", "UniformContinuousOn.tendstoUniformlyOn", "UniformContinuous\u2082.comp", "UniformContinuous\u2082.uniformContinuous", "UniformConvergenceCLM.continuousSMul", "UniformConvergenceCLM.embedding_coeFn", "UniformConvergenceCLM.hasBasis_nhds_zero_of_basis", "UniformConvergenceCLM.locallyConvexSpace", "UniformConvergenceCLM.t2Space", "UniformConvergenceCLM.tendsto_iff_tendstoUniformlyOn", "UniformConvergenceCLM.topologicalSpace_eq", "UniformConvergenceCLM.topologicalSpace_mono", "UniformConvergenceCLM.uniformEmbedding_coeFn", "UniformConvergenceCLM.uniformSpace_eq", "UniformConvergenceCLM.uniformSpace_mono", "UniformConvexOn.add", "UniformConvexOn.mono", "UniformConvexOn.neg", "UniformConvexOn.strictConvexOn", "UniformEmbedding.embedding", "UniformEmbedding.prod", "UniformEquicontinuous.closure'", "UniformEquicontinuous.equicontinuous", "UniformEquicontinuous.uniformEquicontinuousOn", "UniformEquicontinuousOn.closure'", "UniformEquicontinuousOn.comp", "UniformEquicontinuousOn.equicontinuousOn", "UniformEquicontinuousOn.mono", "UniformEquiv.apply_symm_apply", "UniformEquiv.coe_prodComm", "UniformEquiv.coe_prodCongr", "UniformEquiv.coe_symm_toEquiv", "UniformEquiv.comap_eq", "UniformEquiv.completeSpace_iff", "UniformEquiv.continuous", "UniformEquiv.continuous_symm", "UniformEquiv.ext", "UniformEquiv.image_preimage", "UniformEquiv.image_symm", "UniformEquiv.injective", "UniformEquiv.piCongrRight_symm", "UniformEquiv.preimage_image", "UniformEquiv.preimage_symm", "UniformEquiv.prodCongr_symm", "UniformEquiv.range_coe", "UniformEquiv.surjective", "UniformEquiv.symm_apply_apply", "UniformEquiv.toEquiv_injective", "UniformEquiv.trans_apply", "UniformEquiv.uniformContinuous", "UniformEquiv.uniformContinuous_symm", "UniformEquiv.uniformEmbedding", "UniformEquiv.uniformEquiv_mk_coe_symm", "UniformEquiv.uniformInducing", "UniformFun.comap_eq", "UniformFun.continuousSMul_induced_of_range_bounded", "UniformFun.gc", "UniformFun.hasBasis_nhds", "UniformFun.hasBasis_nhds_of_basis", "UniformFun.hasBasis_nhds_one", "UniformFun.hasBasis_nhds_one_of_basis", "UniformFun.hasBasis_uniformity", "UniformFun.hasBasis_uniformity_of_basis", "UniformFun.iInf_eq", "UniformFun.inf_eq", "UniformFun.isBasis_gen", "UniformFun.isClosed_setOf_continuous", "UniformFun.mono", "UniformFun.ofFun_mul", "UniformFun.ofFun_one", "UniformFun.ofFun_smul", "UniformFun.ofFun_toFun", "UniformFun.postcomp_uniformContinuous", "UniformFun.postcomp_uniformEmbedding", "UniformFun.postcomp_uniformInducing", "UniformFun.precomp_uniformContinuous", "UniformFun.tendsto_iff_tendstoUniformly", "UniformFun.toFun_div", "UniformFun.toFun_inv", "UniformFun.toFun_mul", "UniformFun.toFun_ofFun", "UniformFun.toFun_one", "UniformFun.toFun_smul", "UniformFun.uniformContinuous_eval", "UniformFun.uniformSpace_eq_iInf_precomp_of_cover", "UniformFun.uniformSpace_eq_inf_precomp_of_cover", "UniformGroup.ext_iff", "UniformGroup.mk'", "UniformGroup.toUniformSpace_eq", "UniformGroup.uniformContinuous_iff_open_ker", "UniformGroup.uniformity_countably_generated", "UniformInducing.basis_uniformity", "UniformInducing.cauchy_map_iff", "UniformInducing.denseInducing", "UniformInducing.equicontinuousAt_iff", "UniformInducing.equicontinuousOn_iff", "UniformInducing.equicontinuousWithinAt_iff", "UniformInducing.equicontinuous_iff", "UniformInducing.inducing", "UniformInducing.injective", "UniformInducing.mk'", "UniformInducing.of_comp_iff", "UniformInducing.prod", "UniformInducing.uniformContinuous", "UniformInducing.uniformContinuousConstSMul", "UniformInducing.uniformContinuousOn_iff", "UniformInducing.uniformContinuous_iff", "UniformInducing.uniformEmbedding", "UniformInducing.uniformEquicontinuousOn_iff", "UniformInducing.uniformEquicontinuous_iff", "UniformInducing.uniformGroup", "UniformOnFun.comap_eq", "UniformOnFun.continuousSMul_induced_of_image_bounded", "UniformOnFun.continuousSMul_submodule_of_image_bounded", "UniformOnFun.continuous_rng_iff", "UniformOnFun.gen_mem_nhds", "UniformOnFun.gen_mem_uniformity", "UniformOnFun.gen_mono", "UniformOnFun.hasAntitoneBasis_uniformity", "UniformOnFun.hasBasis_nhds", "UniformOnFun.hasBasis_nhds_one", "UniformOnFun.hasBasis_nhds_one_of_basis", "UniformOnFun.hasBasis_uniformity_of_basis", "UniformOnFun.hasBasis_uniformity_of_basis_aux\u2081", "UniformOnFun.hasBasis_uniformity_of_basis_aux\u2082", "UniformOnFun.hasBasis_uniformity_of_covering_of_basis", "UniformOnFun.iInf_eq", "UniformOnFun.inf_eq", "UniformOnFun.isBasis_gen", "UniformOnFun.isClosed_setOf_continuous", "UniformOnFun.isClosed_setOf_continuous_of_le", "UniformOnFun.isCountablyGenerated_uniformity", "UniformOnFun.nhds_eq", "UniformOnFun.nhds_eq_of_basis", "UniformOnFun.ofFun_inv", "UniformOnFun.ofFun_mul", "UniformOnFun.ofFun_smul", "UniformOnFun.ofFun_toFun", "UniformOnFun.postcomp_uniformContinuous", "UniformOnFun.postcomp_uniformEmbedding", "UniformOnFun.postcomp_uniformInducing", "UniformOnFun.precomp_uniformContinuous", "UniformOnFun.t2Space_of_covering", "UniformOnFun.tendsto_iff_tendstoUniformlyOn", "UniformOnFun.toFun_div", "UniformOnFun.toFun_inv", "UniformOnFun.toFun_smul", "UniformOnFun.topologicalSpace_eq", "UniformOnFun.uniformContinuous_eval", "UniformOnFun.uniformContinuous_eval_of_mem", "UniformOnFun.uniformContinuous_eval_of_mem_sUnion", "UniformOnFun.uniformContinuous_ofUniformFun", "UniformOnFun.uniformContinuous_restrict", "UniformOnFun.uniformContinuous_restrict_toFun", "UniformOnFun.uniformSpace_eq_iInf_precomp_of_cover", "UniformOnFun.uniformSpace_eq_inf_precomp_of_cover", "UniformOnFun.uniformity_eq", "UniformOnFun.uniformity_eq_of_basis", "UniformSpace.Completion.Continuous.inner", "UniformSpace.Completion.Continuous.mul", "UniformSpace.Completion.coe_eq", "UniformSpace.Completion.coe_injective", "UniformSpace.Completion.coe_inv", "UniformSpace.Completion.coe_isometry", "UniformSpace.Completion.coe_mul", "UniformSpace.Completion.coe_one", "UniformSpace.Completion.coe_sub", "UniformSpace.Completion.coe_toComplL", "UniformSpace.Completion.coe_zero", "UniformSpace.Completion.comap_coe_eq_uniformity", "UniformSpace.Completion.continuous_dist", "UniformSpace.Completion.continuous_extension", "UniformSpace.Completion.continuous_hatInv", "UniformSpace.Completion.continuous_inner", "UniformSpace.Completion.continuous_mul", "UniformSpace.Completion.continuous_toCompl", "UniformSpace.Completion.denseEmbedding_coe", "UniformSpace.Completion.denseInducing_coe", "UniformSpace.Completion.denseRange_coe", "UniformSpace.Completion.denseRange_coe\u2082", "UniformSpace.Completion.denseRange_coe\u2083", "UniformSpace.Completion.dist_comm", "UniformSpace.Completion.dist_eq", "UniformSpace.Completion.dist_self", "UniformSpace.Completion.dist_triangle", "UniformSpace.Completion.edist_eq", "UniformSpace.Completion.eq_of_dist_eq_zero", "UniformSpace.Completion.ext", "UniformSpace.Completion.extension_coe", "UniformSpace.Completion.extension_map", "UniformSpace.Completion.extension_unique", "UniformSpace.Completion.induction_on", "UniformSpace.Completion.induction_on\u2082", "UniformSpace.Completion.inner_coe", "UniformSpace.Completion.map_coe", "UniformSpace.Completion.map_id", "UniformSpace.Completion.map_smul_eq_mul_coe", "UniformSpace.Completion.map\u2082_coe_coe", "UniformSpace.Completion.mem_uniformity_dist", "UniformSpace.Completion.mul_hatInv_cancel", "UniformSpace.Completion.nnnorm_coe", "UniformSpace.Completion.nonempty_completion_iff", "UniformSpace.Completion.norm_coe", "UniformSpace.Completion.smul_def", "UniformSpace.Completion.uniformContinuous_coe", "UniformSpace.Completion.uniformContinuous_completionSeparationQuotientEquiv", "UniformSpace.Completion.uniformContinuous_extension", "UniformSpace.Completion.uniformContinuous_extension\u2082", "UniformSpace.Completion.uniformContinuous_map", "UniformSpace.Completion.uniformContinuous_map\u2082", "UniformSpace.Completion.uniformEmbedding_coe", "UniformSpace.Completion.uniformity_dist'", "UniformSpace.Core.ext", "UniformSpace.Core.nhds_toTopologicalSpace", "UniformSpace.ball_mem_nhds", "UniformSpace.ball_mem_nhdsWithin", "UniformSpace.comap_comap", "UniformSpace.comap_iInf", "UniformSpace.comap_inf", "UniformSpace.compactSpace_iff_seqCompactSpace", "UniformSpace.complete_of_cauchySeq_tendsto", "UniformSpace.complete_of_convergent_controlled_sequences", "UniformSpace.ext", "UniformSpace.ext_iff", "UniformSpace.hasBasis_nhds", "UniformSpace.hasBasis_nhds_prod", "UniformSpace.inseparableSetoid_ring", "UniformSpace.isOpen_ball", "UniformSpace.le_def", "UniformSpace.mem_ball_self", "UniformSpace.mem_closure_iff_ball", "UniformSpace.mem_closure_iff_symm_ball", "UniformSpace.mem_nhds_iff", "UniformSpace.mem_nhds_iff_symm", "UniformSpace.metrizableSpace", "UniformSpace.metrizable_uniformity", "UniformSpace.ofCoreEq_toCore", "UniformSpace.replaceTopology_eq", "UniformSpace.ring_sep_quot", "UniformSpace.sInf_le", "UniformSpace.secondCountable_of_separable", "UniformSpace.toTopologicalSpace_comap", "UniformSpace.toTopologicalSpace_iInf", "UniformSpace.toTopologicalSpace_inf", "UniformSpace.toTopologicalSpace_sInf", "UniformSpace.to_nhds_mono", "UniformSpace.uniformSpace_eq_bot", "UniformSpaceCat.completionHom_val", "UniformSpaceCat.extensionHom_val", "UniformSpaceCat.extension_comp_coe", "UniformSpaceCat.hom_ext", "UnionFind.lt_rankMax", "UnionFind.lt_rankMax'", "UnionFind.model'", "UnionFind.rank_eq", "UnionFind.rank_lt", "Unique.bijective", "Unique.default_eq", "Unique.eq_default", "Unique.exists_iff", "Unique.forall_iff", "UniqueDiffOn.inter", "UniqueDiffOn.pi", "UniqueDiffOn.uniqueDiffWithinAt", "UniqueDiffOn.univ_pi", "UniqueDiffWithinAt.congr_pt", "UniqueDiffWithinAt.inter", "UniqueDiffWithinAt.inter'", "UniqueDiffWithinAt.mono", "UniqueDiffWithinAt.mono_nhds", "UniqueDiffWithinAt.pi", "UniqueDiffWithinAt.prod", "UniqueDiffWithinAt.univ_pi", "UniqueFactorizationMonoid.associated_iff_normalizedFactors_eq_normalizedFactors", "UniqueFactorizationMonoid.count_normalizedFactors_eq", "UniqueFactorizationMonoid.count_normalizedFactors_eq'", "UniqueFactorizationMonoid.dvdNotUnit_iff_normalizedFactors_lt_normalizedFactors", "UniqueFactorizationMonoid.dvd_iff_normalizedFactors_le_normalizedFactors", "UniqueFactorizationMonoid.dvd_of_dvd_mul_left_of_no_prime_factors", "UniqueFactorizationMonoid.dvd_of_dvd_mul_right_of_no_prime_factors", "UniqueFactorizationMonoid.dvd_of_mem_factors", "UniqueFactorizationMonoid.dvd_of_mem_normalizedFactors", "UniqueFactorizationMonoid.exists_associated_prime_pow_of_unique_normalized_factor", "UniqueFactorizationMonoid.exists_mem_factors_of_dvd", "UniqueFactorizationMonoid.exists_mem_normalizedFactors", "UniqueFactorizationMonoid.exists_mem_normalizedFactors_of_dvd", "UniqueFactorizationMonoid.exists_prime_factors", "UniqueFactorizationMonoid.exists_reduced_factors", "UniqueFactorizationMonoid.factors_eq_normalizedFactors", "UniqueFactorizationMonoid.factors_mul", "UniqueFactorizationMonoid.factors_one", "UniqueFactorizationMonoid.factors_pos", "UniqueFactorizationMonoid.factors_pow", "UniqueFactorizationMonoid.factors_pow_count_prod", "UniqueFactorizationMonoid.factors_prod", "UniqueFactorizationMonoid.factors_unique", "UniqueFactorizationMonoid.factors_zero", "UniqueFactorizationMonoid.induction_on_coprime", "UniqueFactorizationMonoid.induction_on_prime_power", "UniqueFactorizationMonoid.integer_of_integral", "UniqueFactorizationMonoid.irreducible_of_factor", "UniqueFactorizationMonoid.irreducible_of_normalized_factor", "UniqueFactorizationMonoid.isRelPrime_iff_no_prime_factors", "UniqueFactorizationMonoid.le_multiplicity_iff_replicate_le_normalizedFactors", "UniqueFactorizationMonoid.mem_normalizedFactors_eq_of_associated", "UniqueFactorizationMonoid.mem_normalizedFactors_iff", "UniqueFactorizationMonoid.multiplicative_of_coprime", "UniqueFactorizationMonoid.multiplicative_prime_power", "UniqueFactorizationMonoid.multiplicity_eq_count_normalizedFactors", "UniqueFactorizationMonoid.normalize_normalized_factor", "UniqueFactorizationMonoid.normalizedFactors_eq_of_dvd", "UniqueFactorizationMonoid.normalizedFactors_irreducible", "UniqueFactorizationMonoid.normalizedFactors_mul", "UniqueFactorizationMonoid.normalizedFactors_multiset_prod", "UniqueFactorizationMonoid.normalizedFactors_of_irreducible_pow", "UniqueFactorizationMonoid.normalizedFactors_one", "UniqueFactorizationMonoid.normalizedFactors_pos", "UniqueFactorizationMonoid.normalizedFactors_pow", "UniqueFactorizationMonoid.normalizedFactors_prod", "UniqueFactorizationMonoid.normalizedFactors_prod_eq", "UniqueFactorizationMonoid.normalizedFactors_prod_of_prime", "UniqueFactorizationMonoid.normalizedFactors_zero", "UniqueFactorizationMonoid.of_exists_prime_factors", "UniqueFactorizationMonoid.of_exists_unique_irreducible_factors", "UniqueFactorizationMonoid.pow_eq_pow_iff", "UniqueFactorizationMonoid.pow_right_injective", "UniqueFactorizationMonoid.prime_of_factor", "UniqueFactorizationMonoid.prime_of_normalized_factor", "UniqueFactorizationMonoid.prime_pow_coprime_prod_of_coprime_insert", "UniqueFactorizationMonoid.squarefree_iff_nodup_normalizedFactors", "UniqueMDiffOn.image_denseRange", "UniqueMDiffOn.image_denseRange'", "UniqueMDiffOn.inter", "UniqueMDiffOn.prod", "UniqueMDiffOn.smooth_bundle_preimage", "UniqueMDiffOn.tangentBundle_proj_preimage", "UniqueMDiffOn.uniqueDiffOn_inter_preimage", "UniqueMDiffOn.uniqueDiffOn_target_inter", "UniqueMDiffOn.uniqueMDiffOn_preimage", "UniqueMDiffWithinAt.image_denseRange", "UniqueMDiffWithinAt.inter", "UniqueMDiffWithinAt.mono", "UniqueMDiffWithinAt.mono_nhds", "UniqueMDiffWithinAt.preimage_partialHomeomorph", "UniqueMDiffWithinAt.smooth_bundle_preimage", "UniqueMul.exists_iff_exists_existsUnique", "UniqueMul.iff_card_le_one", "UniqueMul.iff_existsUnique", "UniqueMul.iff_mulOpposite", "UniqueMul.mt", "UniqueMul.mulHom_image_iff", "UniqueMul.mulHom_map_iff", "UniqueMul.mulHom_preimage", "UniqueMul.of_card_le_one", "UniqueMul.of_image_filter", "UniqueMul.of_mulHom_image", "UniqueMul.of_mulOpposite", "UniqueMul.of_subsingleton", "UniqueMul.set_subsingleton", "UniqueMul.subsingleton", "UniqueMul.to_mulOpposite", "UniqueProds.of_mulHom", "UniqueProds.of_mulOpposite", "UniqueProds.of_same", "UniqueProds.toIsLeftCancelMul", "UniqueProds.toTwoUniqueProds_of_group", "UnitAddCircle.integral_preimage", "UnitAddCircle.intervalIntegral_preimage", "UnitAddCircle.lintegral_preimage", "UnitAddCircle.measurePreserving_mk", "UnitAddCircle.mem_addWellApproximable_iff", "UnitAddCircle.mem_approxAddOrderOf_iff", "UnitAddCircle.norm_eq", "UnitalShelf.act_act_self_eq", "UnitalShelf.act_idem", "UnitalShelf.act_self_act_eq", "UnitalShelf.assoc", "Unitization.algHom_ext", "Unitization.algHom_ext'", "Unitization.algHom_ext''", "Unitization.algebraMap_eq_inl", "Unitization.algebraMap_eq_inlRingHom", "Unitization.algebraMap_eq_inlRingHom_comp", "Unitization.algebraMap_eq_inl_comp", "Unitization.antilipschitzWith_addEquiv", "Unitization.cobounded_eq_aux", "Unitization.fst_inl", "Unitization.fst_inr", "Unitization.fst_neg", "Unitization.fst_smul", "Unitization.fst_star", "Unitization.fst_zero", "Unitization.inl_injective", "Unitization.inl_mul", "Unitization.inl_mul_inl", "Unitization.inl_mul_inr", "Unitization.inl_neg", "Unitization.inl_one", "Unitization.inl_smul", "Unitization.inl_star", "Unitization.inl_zero", "Unitization.inr_add", "Unitization.inr_injective", "Unitization.inr_mul", "Unitization.inr_mul_inl", "Unitization.inr_neg", "Unitization.inr_smul", "Unitization.inr_star", "Unitization.inr_zero", "Unitization.isQuasiregular_inr_iff", "Unitization.isSelfAdjoint_inr", "Unitization.isStarNormal_inr", "Unitization.lift_range", "Unitization.lift_range_le", "Unitization.lift_symm_apply_apply", "Unitization.lipschitzWith_addEquiv", "Unitization.mem_spectrum_inr_of_not_isUnit", "Unitization.mem_unitsFstOne", "Unitization.nndist_inr", "Unitization.nnnorm_eq_sup", "Unitization.nnnorm_inr", "Unitization.norm_eq_sup", "Unitization.norm_inr", "Unitization.norm_splitMul_snd_sq", "Unitization.quasispectrum_eq_spectrum_inr", "Unitization.quasispectrum_eq_spectrum_inr'", "Unitization.snd_inl", "Unitization.snd_inr", "Unitization.snd_mul", "Unitization.snd_neg", "Unitization.snd_smul", "Unitization.snd_star", "Unitization.snd_zero", "Unitization.splitMul_apply", "Unitization.splitMul_injective", "Unitization.splitMul_injective_of_clm_mul_injective", "Unitization.starAlgHom_ext", "Unitization.starLift_range", "Unitization.starLift_range_le", "Unitization.uniformity_eq_aux", "Unitization.unitsFstOne_val_inv_val_fst", "Unitization.zero_mem_spectrum_inr", "Units.add_divp", "Units.add_eq_mul_one_add_div", "Units.chartAt_apply", "Units.chartAt_source", "Units.coe_liftRight", "Units.coe_map", "Units.coe_map'", "Units.coe_map_inv", "Units.coe_neg_one", "Units.coe_prod", "Units.coe_star_inv", "Units.commute_coe_inv", "Units.commute_inv_coe", "Units.continuousOn_inv\u2080_spectrum", "Units.continuousOn_zpow\u2080_spectrum", "Units.continuous_coe_inv", "Units.copy_eq", "Units.divp_add", "Units.divp_add_divp", "Units.divp_add_divp_same", "Units.divp_sub", "Units.divp_sub_divp", "Units.divp_sub_divp_same", "Units.dvd_mul_left", "Units.dvd_mul_right", "Units.embedProduct_injective", "Units.embed_product_star", "Units.embedding_val", "Units.embedding_val_mk", "Units.embedding_val_mk'", "Units.eq_iff", "Units.eq_inv_mul_iff_mul_eq", "Units.eq_inv_of_mul_eq_one_right", "Units.eq_or_eq_neg_of_sq_eq_sq", "Units.exists0'", "Units.ext", "Units.ext_iff", "Units.inv_eq_of_mul_eq_one_left", "Units.inv_eq_of_mul_eq_one_right", "Units.inv_eq_self_iff", "Units.inv_eq_val_inv", "Units.inv_mk", "Units.inv_mul", "Units.inv_mul'", "Units.inv_mul_cancel_left", "Units.inv_mul_cancel_right", "Units.inv_mul_eq_iff_eq_mul", "Units.inv_neg", "Units.inv_pos", "Units.inv_unique", "Units.isOpen", "Units.isOpenMap_val", "Units.isUnit", "Units.isUnit_mul_units", "Units.isUnit_units_mul", "Units.liftRight_inv_mul", "Units.mapEquiv_symm", "Units.map_comp", "Units.map_neg", "Units.map_neg_one", "Units.max_val", "Units.mem_posSubgroup", "Units.mk0_inj", "Units.mk0_mul", "Units.mk0_one", "Units.mk0_prod", "Units.mk_semiconjBy", "Units.mulLeft_bijective", "Units.mulLeft_symm", "Units.mulRight_bijective", "Units.mul_eq_one_iff_eq_inv", "Units.mul_eq_one_iff_inv_eq", "Units.mul_inv", "Units.mul_inv'", "Units.mul_inv_cancel_left", "Units.mul_inv_cancel_right", "Units.mul_inv_eq_one", "Units.mul_left_dvd", "Units.mul_left_inj", "Units.mul_liftRight_inv", "Units.mul_right_dvd", "Units.mul_right_eq_zero", "Units.mul_right_inj", "Units.ne_zero", "Units.neg_divp", "Units.neg_smul", "Units.nnnorm_pos", "Units.norm_pos", "Units.smul_def", "Units.smul_inv", "Units.smul_mk0", "Units.smul_mk_apply", "Units.sq_eq_sq_iff_eq_or_eq_neg", "Units.sub_divp", "Units.toAut_hom", "Units.topology_eq_inf", "Units.val_div_eq_div_val", "Units.val_eq_one", "Units.val_inv_eq_inv_val", "Units.val_le_val", "Units.val_mk", "Units.val_mk0", "Units.val_mul", "Units.val_neg", "Units.val_one", "Units.val_pow_eq_pow_val", "Units.val_zpow_eq_zpow_val", "Units.zero_lt", "UnitsInt.univ", "Univ.isSubfield", "UnivLE.ofEssSurj", "UnivLE_iff_essSurj", "UniversalEnvelopingAlgebra.hom_ext", "UniversalEnvelopingAlgebra.lift_unique", "UniversalEnvelopingAlgebra.lift_\u03b9_apply", "UniversalEnvelopingAlgebra.lift_\u03b9_apply'", "UniversalEnvelopingAlgebra.\u03b9_comp_lift", "UpperHalfPlane.I_im", "UpperHalfPlane.I_re", "UpperHalfPlane.IsBoundedAtImInfty.mul", "UpperHalfPlane.ModularGroup.SLOnGLPos_smul_apply", "UpperHalfPlane.ModularGroup.SL_neg_smul", "UpperHalfPlane.ModularGroup.denom_apply", "UpperHalfPlane.ModularGroup.det_coe'", "UpperHalfPlane.ModularGroup.im_smul_eq_div_normSq", "UpperHalfPlane.ModularGroup.sl_moeb", "UpperHalfPlane.ModularGroup.subgroup_moeb", "UpperHalfPlane.ModularGroup.subgroup_on_SL_apply", "UpperHalfPlane.ModularGroup.subgroup_on_glpos_smul_apply", "UpperHalfPlane.ModularGroup.subgroup_to_sl_moeb", "UpperHalfPlane.ModularGroup_T_zpow_mem_verticalStrip", "UpperHalfPlane.atImInfty_basis", "UpperHalfPlane.atImInfty_mem", "UpperHalfPlane.bounded_mem", "UpperHalfPlane.c_mul_im_sq_le_normSq_denom", "UpperHalfPlane.center_im", "UpperHalfPlane.center_re", "UpperHalfPlane.center_zero", "UpperHalfPlane.cmp_dist_eq_cmp_dist_coe_center", "UpperHalfPlane.coe_I", "UpperHalfPlane.coe_im", "UpperHalfPlane.coe_mk", "UpperHalfPlane.coe_re", "UpperHalfPlane.coe_smul", "UpperHalfPlane.coe_vadd", "UpperHalfPlane.comp_ofComplex", "UpperHalfPlane.continuous_coe", "UpperHalfPlane.continuous_im", "UpperHalfPlane.continuous_re", "UpperHalfPlane.cosh_dist", "UpperHalfPlane.cosh_dist'", "UpperHalfPlane.cosh_half_dist", "UpperHalfPlane.denom_cocycle", "UpperHalfPlane.denom_ne_zero", "UpperHalfPlane.dist_center_dist", "UpperHalfPlane.dist_coe_center", "UpperHalfPlane.dist_coe_center_sq", "UpperHalfPlane.dist_coe_le", "UpperHalfPlane.dist_comm", "UpperHalfPlane.dist_eq", "UpperHalfPlane.dist_eq_iff_dist_coe_center_eq", "UpperHalfPlane.dist_eq_iff_eq_sinh", "UpperHalfPlane.dist_eq_iff_eq_sq_sinh", "UpperHalfPlane.dist_le_dist_coe_div_sqrt", "UpperHalfPlane.dist_le_iff_dist_coe_center_le", "UpperHalfPlane.dist_le_iff_le_sinh", "UpperHalfPlane.dist_log_im_le", "UpperHalfPlane.dist_of_re_eq", "UpperHalfPlane.dist_self_center", "UpperHalfPlane.dist_triangle", "UpperHalfPlane.embedding_coe", "UpperHalfPlane.exists_SL2_smul_eq_of_apply_zero_one_eq_zero", "UpperHalfPlane.exists_SL2_smul_eq_of_apply_zero_one_ne_zero", "UpperHalfPlane.exp_half_dist", "UpperHalfPlane.ext_iff", "UpperHalfPlane.im_le_im_mul_exp_dist", "UpperHalfPlane.im_ne_zero", "UpperHalfPlane.im_pos", "UpperHalfPlane.im_pos_of_dist_center_le", "UpperHalfPlane.im_smul", "UpperHalfPlane.im_smul_eq_div_normSq", "UpperHalfPlane.image_coe_ball", "UpperHalfPlane.image_coe_closedBall", "UpperHalfPlane.image_coe_sphere", "UpperHalfPlane.isometry_pos_mul", "UpperHalfPlane.isometry_real_vadd", "UpperHalfPlane.isometry_vertical_line", "UpperHalfPlane.le_dist_coe", "UpperHalfPlane.le_dist_iff_le_dist_coe_center", "UpperHalfPlane.linear_ne_zero", "UpperHalfPlane.mk_im", "UpperHalfPlane.mk_re", "UpperHalfPlane.modular_S_smul", "UpperHalfPlane.modular_T_smul", "UpperHalfPlane.modular_T_zpow_smul", "UpperHalfPlane.mul_smul'", "UpperHalfPlane.ne_zero", "UpperHalfPlane.neg_smul", "UpperHalfPlane.normSq_denom_ne_zero", "UpperHalfPlane.normSq_denom_pos", "UpperHalfPlane.pos_real_im", "UpperHalfPlane.pos_real_re", "UpperHalfPlane.re_smul", "UpperHalfPlane.sinh_half_dist", "UpperHalfPlane.sinh_half_dist_add_dist", "UpperHalfPlane.smulAux'_im", "UpperHalfPlane.subset_verticalStrip_of_isCompact", "UpperHalfPlane.tanh_half_dist", "UpperHalfPlane.vadd_im", "UpperHalfPlane.vadd_re", "UpperHalfPlane.verticalStrip_anti_right", "UpperHalfPlane.verticalStrip_mono", "UpperHalfPlane.zero_at_im_infty", "UpperHalfPlane.zero_form_isBoundedAtImInfty", "UpperSemicontinuous.add", "UpperSemicontinuous.add'", "UpperSemicontinuous.comp_continuous", "UpperSemicontinuous.isOpen_preimage", "UpperSemicontinuous.measurable", "UpperSemicontinuous.upperSemicontinuousAt", "UpperSemicontinuous.upperSemicontinuousOn", "UpperSemicontinuousAt.add", "UpperSemicontinuousAt.add'", "UpperSemicontinuousAt.comp_continuousAt", "UpperSemicontinuousAt.comp_continuousAt_of_eq", "UpperSemicontinuousOn.add", "UpperSemicontinuousOn.add'", "UpperSemicontinuousOn.mono", "UpperSemicontinuousOn.upperSemicontinuousWithinAt", "UpperSemicontinuousWithinAt.add", "UpperSemicontinuousWithinAt.mono", "UpperSet.Ici_bot", "UpperSet.Ici_iSup", "UpperSet.Ici_iSup\u2082", "UpperSet.Ici_inf_erase", "UpperSet.Ici_inj", "UpperSet.Ici_injective", "UpperSet.Ici_le_Ioi", "UpperSet.Ici_lt_top", "UpperSet.Ici_ne_top", "UpperSet.Ici_prod", "UpperSet.Ici_sSup", "UpperSet.Ici_sup", "UpperSet.bot_prod_bot", "UpperSet.carrier_eq_coe", "UpperSet.codisjoint_coe", "UpperSet.codisjoint_prod", "UpperSet.coe_Ici", "UpperSet.coe_Ioi", "UpperSet.coe_compl", "UpperSet.coe_div", "UpperSet.coe_eq_empty", "UpperSet.coe_eq_univ", "UpperSet.coe_iInf", "UpperSet.coe_iInf\u2082", "UpperSet.coe_iSup", "UpperSet.coe_iSup\u2082", "UpperSet.coe_map", "UpperSet.coe_mk", "UpperSet.coe_nonempty", "UpperSet.coe_one", "UpperSet.coe_sInf", "UpperSet.coe_sdiff", "UpperSet.coe_ssubset_coe", "UpperSet.compl_bot", "UpperSet.compl_compl", "UpperSet.compl_iInf", "UpperSet.compl_iSup", "UpperSet.compl_inf", "UpperSet.compl_map", "UpperSet.compl_sInf", "UpperSet.compl_sSup", "UpperSet.compl_top", "UpperSet.erase_eq", "UpperSet.erase_idem", "UpperSet.erase_inf_Ici", "UpperSet.iInf_Ici", "UpperSet.iciSupHom_apply", "UpperSet.icisSupHom_apply", "UpperSet.infIrred_Ici", "UpperSet.infIrred_iff_of_finite", "UpperSet.inf_prod", "UpperSet.le_erase", "UpperSet.lt_erase", "UpperSet.lt_sdiff_left", "UpperSet.map_Ici", "UpperSet.map_map", "UpperSet.mem_Ici_iff", "UpperSet.mem_bot", "UpperSet.mem_compl_iff", "UpperSet.mem_iInf_iff", "UpperSet.mem_iInf\u2082_iff", "UpperSet.mem_iSup_iff", "UpperSet.mem_iSup\u2082_iff", "UpperSet.mem_inf_iff", "UpperSet.mem_map", "UpperSet.mem_mk", "UpperSet.mem_sInf_iff", "UpperSet.mem_sup_iff", "UpperSet.one_mul", "UpperSet.prod_eq_top", "UpperSet.prod_inf", "UpperSet.prod_le_prod_iff", "UpperSet.prod_sup", "UpperSet.prod_sup_prod", "UpperSet.sdiff_eq_left", "UpperSet.sdiff_inf_upperClosure", "UpperSet.sdiff_singleton", "UpperSet.symm_map", "UpperSet.top_prod", "UpperSet.upper", "UpperSet.upperClosure_inf_sdiff", "Urysohns.CU.approx_le_approx_of_U_sub_C", "Urysohns.CU.approx_le_one", "Urysohns.CU.approx_le_succ", "Urysohns.CU.approx_mem_Icc_right_left", "Urysohns.CU.approx_mono", "Urysohns.CU.approx_nonneg", "Urysohns.CU.approx_of_mem_C", "Urysohns.CU.approx_of_nmem_U", "Urysohns.CU.continuous_lim", "Urysohns.CU.left_U_subset_right_C", "Urysohns.CU.lim_eq_midpoint", "Urysohns.CU.lim_le_one", "Urysohns.CU.lim_mem_Icc", "Urysohns.CU.lim_nonneg", "Urysohns.CU.lim_of_mem_C", "Urysohns.CU.lim_of_nmem_U", "Urysohns.CU.subset_right_C", "Urysohns.CU.tendsto_approx_atTop", "Valuation.Integers.dvd_of_le", "Valuation.Integers.integralClosure", "Valuation.Integers.integrallyClosed", "Valuation.Integers.isUnit_of_one", "Valuation.Integers.le_iff_dvd", "Valuation.Integers.le_of_dvd", "Valuation.Integers.mem_of_integral", "Valuation.Integers.one_of_isUnit'", "Valuation.IsEquiv.map", "Valuation.IsEquiv.ne_zero", "Valuation.IsEquiv.of_eq", "Valuation.IsEquiv.refl", "Valuation.IsEquiv.symm", "Valuation.IsEquiv.trans", "Valuation.IsEquiv.val_eq", "Valuation.RankOne.hom_eq_zero_iff", "Valuation.RankOne.nontrivial", "Valuation.RankOne.strictMono", "Valuation.RankOne.unit_ne_one", "Valuation.RankOne.zero_of_hom_zero", "Valuation.coe_coe", "Valuation.coe_mk", "Valuation.comap_apply", "Valuation.comap_comp", "Valuation.comap_onQuot_eq", "Valuation.comap_supp", "Valuation.ext_iff", "Valuation.extendToLocalization_apply_map_apply", "Valuation.inversion_estimate", "Valuation.isEquiv_iff_val_eq_one", "Valuation.isEquiv_iff_val_le_one", "Valuation.isEquiv_iff_val_lt_one", "Valuation.isEquiv_iff_val_sub_one_lt_one", "Valuation.isEquiv_iff_valuationSubring", "Valuation.isEquiv_of_val_le_one", "Valuation.isEquiv_tfae", "Valuation.isEquiv_valuation_valuationSubring", "Valuation.map_add", "Valuation.map_add'", "Valuation.map_add_eq_of_lt_left", "Valuation.map_add_le", "Valuation.map_add_of_distinct_val", "Valuation.map_add_supp", "Valuation.map_eq_of_sub_lt", "Valuation.map_mul", "Valuation.map_neg", "Valuation.map_one", "Valuation.map_one_add_of_lt", "Valuation.map_one_sub_of_lt", "Valuation.map_pow", "Valuation.map_sub", "Valuation.map_sub_le", "Valuation.map_sub_swap", "Valuation.map_sum_le", "Valuation.map_sum_lt", "Valuation.map_sum_lt'", "Valuation.map_zero", "Valuation.mem_integer_iff", "Valuation.mem_supp_iff", "Valuation.mem_unitGroup_iff", "Valuation.mem_valuationSubring_iff", "Valuation.onQuot_comap_eq", "Valuation.one_lt_val_iff", "Valuation.self_le_supp_comap", "Valuation.subgroups_basis", "Valuation.supp_quot", "Valuation.toFun_eq_coe", "Valuation.unit_map_eq", "ValuationRing.coe_equivInteger_apply", "ValuationRing.cond", "ValuationRing.dvd_total", "ValuationRing.iff_dvd_total", "ValuationRing.iff_ideal_total", "ValuationRing.iff_isInteger_or_isInteger", "ValuationRing.isInteger_or_isInteger", "ValuationRing.le_total", "ValuationRing.mem_integer_iff", "ValuationRing.of_integers", "ValuationRing.tFAE", "ValuationRing.unique_irreducible", "ValuationSubring.add_mem", "ValuationSubring.algebraMap_apply", "ValuationSubring.coe_comap", "ValuationSubring.coe_mem_nonunits_iff", "ValuationSubring.coe_mem_principalUnitGroup_iff", "ValuationSubring.coe_pointwise_smul", "ValuationSubring.coe_unitGroupMulEquiv_symm_apply", "ValuationSubring.coe_unitGroupToResidueFieldUnits_apply", "ValuationSubring.idealOfLE_le_of_le", "ValuationSubring.idealOfLE_ofPrime", "ValuationSubring.image_maximalIdeal", "ValuationSubring.ker_unitGroupToResidueFieldUnits", "ValuationSubring.le_ofPrime", "ValuationSubring.mapOfLE_comp_valuation", "ValuationSubring.mapOfLE_valuation_apply", "ValuationSubring.mem_ofSubring", "ValuationSubring.mem_of_valuation_le_one", "ValuationSubring.mem_or_inv_mem", "ValuationSubring.mem_smul_pointwise_iff_exists", "ValuationSubring.mem_toSubring", "ValuationSubring.mem_top", "ValuationSubring.monotone_mapOfLE", "ValuationSubring.mul_mem", "ValuationSubring.neg_mem", "ValuationSubring.nonunits_inj", "ValuationSubring.nonunits_injective", "ValuationSubring.nonunits_le", "ValuationSubring.nonunits_le_nonunits", "ValuationSubring.nonunits_subset", "ValuationSubring.ofPrime_idealOfLE", "ValuationSubring.ofPrime_valuation_eq_one_iff_mem_primeCompl", "ValuationSubring.pointwise_smul_le_pointwise_smul_iff", "ValuationSubring.pointwise_smul_subset_iff", "ValuationSubring.pointwise_smul_toSubring", "ValuationSubring.principalUnitGroup_injective", "ValuationSubring.principalUnitGroup_le_principalUnitGroup", "ValuationSubring.principal_units_le_units", "ValuationSubring.smul_mem_pointwise_smul", "ValuationSubring.surjective_unitGroupToResidueFieldUnits", "ValuationSubring.unitGroup_injective", "ValuationSubring.unitGroup_le_unitGroup", "ValuationSubring.unitGroup_strictMono", "ValuationSubring.unitsModPrincipalUnitsEquivResidueFieldUnits_comp_quotientGroup_mk_apply", "ValuationSubring.valuationSubring_valuation", "ValuationSubring.valuation_eq_one_iff", "ValuationSubring.valuation_le_iff", "ValuationSubring.valuation_le_one", "ValuationSubring.valuation_le_one_iff", "ValuationSubring.valuation_lt_one_iff", "ValuationSubring.valuation_surjective", "ValuationSubring.valuation_unit", "ValuationSubring.zero_mem", "Valued.cauchy_iff", "Valued.closure_coe_completion_v_lt", "Valued.continuous_extension", "Valued.continuous_valuation", "Valued.extension_extends", "Valued.hasBasis_nhds_zero", "Valued.hasBasis_uniformity", "Valued.integer_isOpen", "Valued.loc_const", "Valued.mem_nhds", "Valued.mem_nhds_zero", "Valued.norm_add_le", "Valued.norm_eq_zero", "Valued.toUniformSpace_eq", "Valued.valuedCompletion_apply", "Vector.comp_traverse", "Vector.cons_head_tail", "Vector.cons_val", "Vector.continuousAt_eraseIdx", "Vector.continuous_insertNth", "Vector.continuous_insertNth'", "Vector.eq", "Vector.eq_cons_iff", "Vector.eq_nil", "Vector.eraseIdx_insertNth", "Vector.eraseIdx_insertNth'", "Vector.eraseIdx_val", "Vector.exists_eq_cons", "Vector.ext", "Vector.get_append_cons_succ", "Vector.get_cons_nil", "Vector.get_cons_succ", "Vector.get_cons_zero", "Vector.get_eq_get", "Vector.get_map", "Vector.get_map\u2082", "Vector.get_mem", "Vector.get_ofFn", "Vector.get_replicate", "Vector.get_set_of_ne", "Vector.get_set_same", "Vector.get_tail", "Vector.get_tail_succ", "Vector.get_zero", "Vector.head?_toList", "Vector.head_cons", "Vector.head_map", "Vector.head_ofFn", "Vector.id_traverse", "Vector.inductionOn_cons", "Vector.inductionOn_nil", "Vector.insertNth_comm", "Vector.insertNth_val", "Vector.length_val", "Vector.mOfFn_pure", "Vector.mapAccumr_bisim", "Vector.mapAccumr_bisim_tail", "Vector.mapAccumr_cons", "Vector.mapAccumr_eq_map", "Vector.mapAccumr_eq_map_of_constant_state", "Vector.mapAccumr_eq_map_of_unused_state", "Vector.mapAccumr_map", "Vector.mapAccumr_mapAccumr", "Vector.mapAccumr_mapAccumr\u2082", "Vector.mapAccumr_nil", "Vector.mapAccumr_redundant_pair", "Vector.mapAccumr_snoc", "Vector.mapAccumr\u2082_bisim", "Vector.mapAccumr\u2082_bisim_tail", "Vector.mapAccumr\u2082_comm", "Vector.mapAccumr\u2082_cons", "Vector.mapAccumr\u2082_eq_map\u2082_of_constant_state", "Vector.mapAccumr\u2082_eq_map\u2082_of_unused_state", "Vector.mapAccumr\u2082_mapAccumr_left", "Vector.mapAccumr\u2082_mapAccumr\u2082_left_right", "Vector.mapAccumr\u2082_mapAccumr\u2082_right_left", "Vector.mapAccumr\u2082_mapAccumr\u2082_right_right", "Vector.mapAccumr\u2082_redundant_pair", "Vector.mapAccumr\u2082_snoc", "Vector.mapAccumr\u2082_unused_input_left", "Vector.map_cons", "Vector.map_eq_mapAccumr", "Vector.map_id", "Vector.map_map\u2082", "Vector.map_snoc", "Vector.map\u2082_comm", "Vector.map\u2082_cons", "Vector.map\u2082_eq_mapAccumr\u2082", "Vector.map\u2082_flip", "Vector.map\u2082_map_left", "Vector.map\u2082_map_right", "Vector.map\u2082_nil", "Vector.map\u2082_snoc", "Vector.mem_cons_iff", "Vector.mem_cons_of_mem", "Vector.mem_cons_self", "Vector.mem_iff_get", "Vector.mem_map_iff", "Vector.mem_map_succ_iff", "Vector.mem_of_mem_tail", "Vector.mem_succ_iff", "Vector.mk_toList", "Vector.mmap_cons", "Vector.mmap_nil", "Vector.naturality", "Vector.ne_cons_iff", "Vector.not_empty_toList", "Vector.not_mem_map_zero", "Vector.not_mem_nil", "Vector.not_mem_zero", "Vector.ofFn_get", "Vector.prod_mul_prod_eq_prod_zipWith", "Vector.prod_set", "Vector.prod_set'", "Vector.replicate_succ", "Vector.replicate_succ_to_snoc", "Vector.reverse_cons", "Vector.reverse_get_zero", "Vector.reverse_reverse", "Vector.reverse_snoc", "Vector.scanl_cons", "Vector.scanl_get", "Vector.scanl_head", "Vector.scanl_nil", "Vector.scanl_singleton", "Vector.scanl_val", "Vector.singleton_tail", "Vector.snoc_cons", "Vector.tail_cons", "Vector.tail_map", "Vector.tail_nil", "Vector.tail_ofFn", "Vector.tail_val", "Vector.tendsto_cons", "Vector.tendsto_insertNth", "Vector.toList_append", "Vector.toList_cons", "Vector.toList_empty", "Vector.toList_injective", "Vector.toList_length", "Vector.toList_map", "Vector.toList_mk", "Vector.toList_nil", "Vector.toList_ofFn", "Vector.toList_reverse", "Vector.toList_set", "Vector.toList_singleton", "Vector.toList_take", "Vector.zipWith_get", "Vector.zipWith_tail", "Vector.zipWith_toList", "Vector3.append_add", "Vector3.append_cons", "Vector3.append_insert", "Vector3.append_left", "Vector3.append_nil", "Vector3.consElim_cons", "Vector3.cons_fs", "Vector3.cons_fz", "Vector3.cons_head_tail", "Vector3.insert_fs", "Vector3.insert_fz", "Vector3.recOn_cons", "VectorBundleCore.coe_coordChange", "VectorBundleCore.continuous_proj", "VectorBundleCore.coordChange_linear_comp", "VectorBundleCore.inCoordinates_eq", "VectorBundleCore.isOpenMap_proj", "VectorBundleCore.localTrivAt_apply_mk", "VectorBundleCore.localTriv_continuousLinearMapAt", "VectorBundleCore.localTriv_coordChange_eq", "VectorBundleCore.localTriv_symmL", "VectorBundleCore.localTriv_symm_fst", "VectorBundleCore.mem_localTrivAt_baseSet", "VectorBundleCore.smoothOn_coordChange", "VectorBundleCore.trivializationAt_coordChange_eq", "VectorBundleCore.trivializationAt_symmL", "VectorFourier.contDiff_fourierIntegral", "VectorFourier.fourierIntegral_add", "VectorFourier.fourierIntegral_comp_add_right", "VectorFourier.fourierIntegral_continuous", "VectorFourier.fourierIntegral_continuousLinearMap_apply", "VectorFourier.fourierIntegral_continuousMultilinearMap_apply", "VectorFourier.fourierIntegral_convergent_iff", "VectorFourier.fourierIntegral_fderiv", "VectorFourier.fourierIntegral_iteratedFDeriv", "VectorFourier.fourierIntegral_smul_const", "VectorFourier.fourierPowSMulRight_eq_comp", "VectorFourier.fourierPowSMulRight_iteratedFDeriv_fourierIntegral", "VectorFourier.fourierSMulRight_apply", "VectorFourier.hasFDerivAt_fourierChar_smul", "VectorFourier.hasFDerivAt_fourierIntegral", "VectorFourier.hasFTaylorSeriesUpTo_fourierIntegral", "VectorFourier.integrable_fourierPowSMulRight", "VectorFourier.integral_bilin_fourierIntegral_eq_flip", "VectorFourier.integral_fourierIntegral_smul_eq_flip", "VectorFourier.iteratedFDeriv_fourierIntegral", "VectorFourier.norm_fourierIntegral_le_integral_norm", "VectorFourier.norm_fourierPowSMulRight_iteratedFDeriv_fourierIntegral_le", "VectorFourier.norm_fourierPowSMulRight_le", "VectorFourier.norm_fourierSMulRight", "VectorFourier.norm_fourierSMulRight_le", "VectorFourier.norm_iteratedFDeriv_fourierPowSMulRight", "VectorFourier.pow_mul_norm_iteratedFDeriv_fourierIntegral_le", "VectorPrebundle.continuousOn_coordChange", "VectorPrebundle.continuous_totalSpaceMk", "VectorPrebundle.linear_trivializationOfMemPretrivializationAtlas", "VectorPrebundle.mem_trivialization_at_source", "VectorPrebundle.mk_coordChange", "VectorPrebundle.smoothCoordChange_apply", "VectorPrebundle.smoothVectorBundle", "VectorPrebundle.toVectorBundle", "VectorPrebundle.totalSpaceMk_preimage_source", "VectorSpace.card_fintype", "VertexAlg.HetVertexOperator.ext", "VertexAlg.coeff_inj", "VertexAlg.coeff_isPWOsupport", "Vitali.exists_disjoint_covering_ae", "Vitali.exists_disjoint_subfamily_covering_enlargment", "Vitali.exists_disjoint_subfamily_covering_enlargment_closedBall", "VitaliFamily.FineSubfamilyOn.covering_disjoint", "VitaliFamily.FineSubfamilyOn.covering_mem", "VitaliFamily.FineSubfamilyOn.exists_disjoint_covering_ae", "VitaliFamily.FineSubfamilyOn.index_countable", "VitaliFamily.FineSubfamilyOn.index_subset", "VitaliFamily.FineSubfamilyOn.measurableSet_u", "VitaliFamily.FineSubfamilyOn.measure_diff_biUnion", "VitaliFamily.FineSubfamilyOn.measure_le_tsum", "VitaliFamily.FineSubfamilyOn.measure_le_tsum_of_absolutelyContinuous", "VitaliFamily.ae_eventually_measure_pos", "VitaliFamily.ae_eventually_measure_zero_of_singular", "VitaliFamily.ae_tendsto_average", "VitaliFamily.ae_tendsto_average_norm_sub", "VitaliFamily.ae_tendsto_div", "VitaliFamily.ae_tendsto_limRatio", "VitaliFamily.ae_tendsto_lintegral_div", "VitaliFamily.ae_tendsto_lintegral_div'", "VitaliFamily.ae_tendsto_lintegral_nnnorm_sub_div", "VitaliFamily.ae_tendsto_lintegral_nnnorm_sub_div'_of_integrable", "VitaliFamily.ae_tendsto_lintegral_nnnorm_sub_div_of_integrable", "VitaliFamily.ae_tendsto_measure_inter_div", "VitaliFamily.ae_tendsto_measure_inter_div_of_measurableSet", "VitaliFamily.ae_tendsto_rnDeriv", "VitaliFamily.aemeasurable_limRatio", "VitaliFamily.eventually_filterAt_integrableOn", "VitaliFamily.eventually_filterAt_measurableSet", "VitaliFamily.eventually_filterAt_mem_setsAt", "VitaliFamily.eventually_filterAt_subset_of_nhds", "VitaliFamily.eventually_measure_lt_top", "VitaliFamily.exists_measurable_supersets_limRatio", "VitaliFamily.filterAt_basis_closedBall", "VitaliFamily.fineSubfamilyOn_of_frequently", "VitaliFamily.frequently_filterAt_iff", "VitaliFamily.le_mul_withDensity", "VitaliFamily.limRatioMeas_measurable", "VitaliFamily.measure_le_mul_of_subset_limRatioMeas_lt", "VitaliFamily.measure_le_of_frequently_le", "VitaliFamily.measure_limRatioMeas_top", "VitaliFamily.measure_limRatioMeas_zero", "VitaliFamily.mem_filterAt_iff", "VitaliFamily.mul_measure_le_of_subset_lt_limRatioMeas", "VitaliFamily.null_of_frequently_le_of_frequently_ge", "VitaliFamily.tendsto_filterAt_iff", "VitaliFamily.withDensity_le_mul", "VitaliFamily.withDensity_limRatioMeas_eq", "VonNeumannAlgebra.coe_commutant", "VonNeumannAlgebra.coe_mk", "VonNeumannAlgebra.coe_toStarSubalgebra", "VonNeumannAlgebra.mem_carrier", "VonNeumannAlgebra.mem_commutant_iff", "WCovBy.Icc_eq", "WCovBy.Ico_subset", "WCovBy.Ioo_eq", "WCovBy.covBy_of_lt", "WCovBy.eq_or_eq", "WCovBy.fst", "WCovBy.ge_of_gt", "WCovBy.inf_eq", "WCovBy.le", "WCovBy.le_and_le_iff", "WCovBy.le_of_lt", "WCovBy.le_succ", "WCovBy.of_image", "WCovBy.of_le_of_le", "WCovBy.of_le_of_le'", "WCovBy.pred_le", "WCovBy.snd", "WCovBy.sup_eq", "WCovBy.trans_antisymm_rel", "WCovBy.wcovBy_iff_le", "WType.cardinal_mk_eq_sum", "WType.cardinal_mk_eq_sum'", "WType.cardinal_mk_le_max_aleph0_of_finite", "WType.cardinal_mk_le_max_aleph0_of_finite'", "WType.cardinal_mk_le_of_le", "WType.cardinal_mk_le_of_le'", "WType.depth_lt_depth_mk", "WType.depth_pos", "WType.elim_injective", "WType.infinite_of_nonempty_of_isEmpty", "WType.leftInverse_list", "WType.leftInverse_nat", "WType.ofSigma_toSigma", "WType.rightInverse_list", "WType.rightInverse_nat", "WType.toSigma_ofSigma", "Wbtw.angle\u2081\u2083\u2082_eq_zero_of_ne", "Wbtw.angle\u2082\u2081\u2083_eq_zero_of_ne", "Wbtw.angle\u2082\u2083\u2081_eq_zero_of_ne", "Wbtw.angle\u2083\u2081\u2082_eq_zero_of_ne", "Wbtw.collinear", "Wbtw.dist_add_dist", "Wbtw.dist_le_max_dist", "Wbtw.left_mem_affineSpan_of_right_ne", "Wbtw.left_ne_right_of_ne_right", "Wbtw.map", "Wbtw.oangle_eq_left", "Wbtw.oangle_eq_right", "Wbtw.oangle_sign_eq_of_ne_right", "Wbtw.oangle\u2082\u2081\u2083_eq_zero", "Wbtw.oangle\u2083\u2081\u2082_eq_zero", "Wbtw.right_mem_affineSpan_of_left_ne", "Wbtw.right_mem_image_Ici_of_left_ne", "Wbtw.rotate_iff", "Wbtw.sameRay_vsub", "Wbtw.sameRay_vsub_left", "Wbtw.sameRay_vsub_right", "Wbtw.swap_left_iff", "Wbtw.swap_right_iff", "Wbtw.trans_left", "Wbtw.trans_left_ne", "Wbtw.trans_left_right", "Wbtw.trans_right_left", "Wbtw.trans_sbtw_right", "Wbtw.wOppSide\u2081\u2083", "Wbtw.wSameSide\u2081\u2082", "Wbtw.wSameSide\u2082\u2081", "Wbtw.wSameSide\u2082\u2083", "Wbtw.wSameSide\u2083\u2082", "WeakBilin.coeFn_continuous", "WeakBilin.embedding", "WeakBilin.eval_continuous", "WeakBilin.tendsto_iff_forall_eval_tendsto", "WeakDual.CharacterSpace.coe_coe", "WeakDual.CharacterSpace.coe_toNonUnitalAlgHom", "WeakDual.CharacterSpace.compContinuousMap_comp", "WeakDual.CharacterSpace.compContinuousMap_id", "WeakDual.CharacterSpace.continuousMapEval_apply_apply", "WeakDual.CharacterSpace.continuousMapEval_bijective", "WeakDual.CharacterSpace.eq_set_map_one_map_mul", "WeakDual.CharacterSpace.equivAlgHom_coe", "WeakDual.CharacterSpace.equivAlgHom_symm_coe", "WeakDual.CharacterSpace.exists_apply_eq_zero", "WeakDual.CharacterSpace.ext", "WeakDual.CharacterSpace.ext_ker", "WeakDual.CharacterSpace.isClosed", "WeakDual.CharacterSpace.mem_spectrum_iff_exists", "WeakDual.CharacterSpace.norm_le_norm_one", "WeakDual.CharacterSpace.union_zero", "WeakDual.CharacterSpace.union_zero_isClosed", "WeakDual.coeFn_continuous", "WeakDual.coe_toNormedDual", "WeakDual.eval_continuous", "WeakDual.isClosed_closedBall", "WeakDual.isClosed_image_polar_of_mem_nhds", "WeakDual.isClosed_polar", "WeakDual.isCompact_closedBall", "WeakDual.isCompact_of_bounded_of_closed", "WeakDual.isCompact_polar", "WeakDual.polar_def", "WeakDual.toNormedDual_apply", "WeakDual.toNormedDual_eq_iff", "WeakFEPair.differentiableAt_\u039b", "WeakFEPair.differentiable_\u039b\u2080", "WeakFEPair.f_modif_aux1", "WeakFEPair.f_modif_aux2", "WeakFEPair.functional_equation", "WeakFEPair.h_feq'", "WeakFEPair.hasMellin", "WeakFEPair.hf_modif_FE", "WeakFEPair.hf_modif_int", "WeakFEPair.hf_zero", "WeakFEPair.hf_zero'", "WeakFEPair.symm_\u039b\u2080_eq", "WeakFEPair.\u039b_residue_k", "WeakFEPair.\u039b_residue_zero", "WeakSpace.coe_map", "WeakSpace.isOpen_of_isOpen", "WeierstrassCurve.Affine.C_addPolynomial", "WeierstrassCurve.Affine.CoordinateRing.C_addPolynomial", "WeierstrassCurve.Affine.CoordinateRing.C_addPolynomial_slope", "WeierstrassCurve.Affine.CoordinateRing.XClass_ne_zero", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal'_eq", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal'_mul_inv", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal_add_eq", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal_eq\u2081", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal_eq\u2082", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal_mul_XYIdeal", "WeierstrassCurve.Affine.CoordinateRing.XYIdeal_neg_mul", "WeierstrassCurve.Affine.CoordinateRing.YClass_ne_zero", "WeierstrassCurve.Affine.CoordinateRing.basis_apply", "WeierstrassCurve.Affine.CoordinateRing.basis_one", "WeierstrassCurve.Affine.CoordinateRing.basis_zero", "WeierstrassCurve.Affine.CoordinateRing.coe_basis", "WeierstrassCurve.Affine.CoordinateRing.coe_norm_smul_basis", "WeierstrassCurve.Affine.CoordinateRing.degree_norm_ne_one", "WeierstrassCurve.Affine.CoordinateRing.degree_norm_smul_basis", "WeierstrassCurve.Affine.CoordinateRing.exists_smul_basis_eq", "WeierstrassCurve.Affine.CoordinateRing.map_injective", "WeierstrassCurve.Affine.CoordinateRing.map_mk", "WeierstrassCurve.Affine.CoordinateRing.map_smul", "WeierstrassCurve.Affine.CoordinateRing.mk_XYIdeal'_mul_mk_XYIdeal'", "WeierstrassCurve.Affine.CoordinateRing.mk_XYIdeal'_mul_mk_XYIdeal'_of_Yeq", "WeierstrassCurve.Affine.CoordinateRing.mk_\u03a8_sq", "WeierstrassCurve.Affine.CoordinateRing.mk_\u03c6", "WeierstrassCurve.Affine.CoordinateRing.mk_\u03c8", "WeierstrassCurve.Affine.CoordinateRing.mk_\u03c8\u2082_sq", "WeierstrassCurve.Affine.CoordinateRing.norm_smul_basis", "WeierstrassCurve.Affine.CoordinateRing.smul", "WeierstrassCurve.Affine.CoordinateRing.smul_basis_eq_zero", "WeierstrassCurve.Affine.CoordinateRing.smul_basis_mul_C", "WeierstrassCurve.Affine.CoordinateRing.smul_basis_mul_Y", "WeierstrassCurve.Affine.Equation.map", "WeierstrassCurve.Affine.Point.add_def", "WeierstrassCurve.Affine.Point.add_eq_zero", "WeierstrassCurve.Affine.Point.add_of_Y_eq", "WeierstrassCurve.Affine.Point.add_of_Y_ne", "WeierstrassCurve.Affine.Point.add_of_Y_ne'", "WeierstrassCurve.Affine.Point.add_self_of_Y_eq", "WeierstrassCurve.Affine.Point.add_self_of_Y_ne", "WeierstrassCurve.Affine.Point.add_self_of_Y_ne'", "WeierstrassCurve.Affine.Point.map_baseChange", "WeierstrassCurve.Affine.Point.map_injective", "WeierstrassCurve.Affine.Point.map_some", "WeierstrassCurve.Affine.Point.map_zero", "WeierstrassCurve.Affine.Point.neg_def", "WeierstrassCurve.Affine.Point.neg_some", "WeierstrassCurve.Affine.Point.some_ne_zero", "WeierstrassCurve.Affine.Point.toClass_eq_zero", "WeierstrassCurve.Affine.Point.toClass_injective", "WeierstrassCurve.Affine.Point.toClass_some", "WeierstrassCurve.Affine.Point.toClass_zero", "WeierstrassCurve.Affine.Point.zero_def", "WeierstrassCurve.Affine.Y_eq_of_X_eq", "WeierstrassCurve.Affine.Y_eq_of_Y_ne", "WeierstrassCurve.Affine.Y_sub_negPolynomial", "WeierstrassCurve.Affine.Y_sub_polynomialY", "WeierstrassCurve.Affine.addPolynomial_eq", "WeierstrassCurve.Affine.addPolynomial_slope", "WeierstrassCurve.Affine.addX_eq_addX_negY_sub", "WeierstrassCurve.Affine.addY_sub_negY_addY", "WeierstrassCurve.Affine.baseChange_addX", "WeierstrassCurve.Affine.baseChange_addY", "WeierstrassCurve.Affine.baseChange_equation", "WeierstrassCurve.Affine.baseChange_negAddY", "WeierstrassCurve.Affine.baseChange_nonsingular", "WeierstrassCurve.Affine.baseChange_polynomialX", "WeierstrassCurve.Affine.baseChange_polynomialY", "WeierstrassCurve.Affine.baseChange_slope", "WeierstrassCurve.Affine.cyclic_sum_Y_mul_X_sub_X", "WeierstrassCurve.Affine.degree_polynomial", "WeierstrassCurve.Affine.equation_add", "WeierstrassCurve.Affine.equation_add_iff", "WeierstrassCurve.Affine.equation_iff", "WeierstrassCurve.Affine.equation_iff'", "WeierstrassCurve.Affine.equation_iff_variableChange", "WeierstrassCurve.Affine.equation_neg", "WeierstrassCurve.Affine.equation_negAdd", "WeierstrassCurve.Affine.equation_neg_iff", "WeierstrassCurve.Affine.equation_neg_of", "WeierstrassCurve.Affine.equation_zero", "WeierstrassCurve.Affine.evalEval_baseChange_polynomial_X_Y", "WeierstrassCurve.Affine.evalEval_polynomial", "WeierstrassCurve.Affine.evalEval_polynomialX", "WeierstrassCurve.Affine.evalEval_polynomialX_zero", "WeierstrassCurve.Affine.evalEval_polynomialY", "WeierstrassCurve.Affine.evalEval_polynomialY_zero", "WeierstrassCurve.Affine.evalEval_polynomial_zero", "WeierstrassCurve.Affine.eval_negPolynomial", "WeierstrassCurve.Affine.irreducible_polynomial", "WeierstrassCurve.Affine.map_addPolynomial", "WeierstrassCurve.Affine.map_addX", "WeierstrassCurve.Affine.map_addY", "WeierstrassCurve.Affine.map_equation", "WeierstrassCurve.Affine.map_linePolynomial", "WeierstrassCurve.Affine.map_negAddY", "WeierstrassCurve.Affine.map_negPolynomial", "WeierstrassCurve.Affine.map_negY", "WeierstrassCurve.Affine.map_nonsingular", "WeierstrassCurve.Affine.map_polynomial", "WeierstrassCurve.Affine.map_polynomialX", "WeierstrassCurve.Affine.map_polynomialY", "WeierstrassCurve.Affine.map_slope", "WeierstrassCurve.Affine.monic_polynomial", "WeierstrassCurve.Affine.natDegree_polynomial", "WeierstrassCurve.Affine.negY_negY", "WeierstrassCurve.Affine.nonsingular_add", "WeierstrassCurve.Affine.nonsingular_iff", "WeierstrassCurve.Affine.nonsingular_iff'", "WeierstrassCurve.Affine.nonsingular_iff_variableChange", "WeierstrassCurve.Affine.nonsingular_neg", "WeierstrassCurve.Affine.nonsingular_negAdd", "WeierstrassCurve.Affine.nonsingular_negAdd_of_eval_derivative_ne_zero", "WeierstrassCurve.Affine.nonsingular_neg_iff", "WeierstrassCurve.Affine.nonsingular_neg_of", "WeierstrassCurve.Affine.nonsingular_of_\u0394_ne_zero", "WeierstrassCurve.Affine.nonsingular_zero", "WeierstrassCurve.Affine.nonsingular_zero_of_\u0394_ne_zero", "WeierstrassCurve.Affine.polynomial_eq", "WeierstrassCurve.Affine.polynomial_ne_zero", "WeierstrassCurve.Affine.slope_of_X_ne", "WeierstrassCurve.Affine.slope_of_Y_eq", "WeierstrassCurve.Affine.slope_of_Y_ne", "WeierstrassCurve.Affine.slope_of_Y_ne_eq_eval", "WeierstrassCurve.C_\u03a8\u2082Sq", "WeierstrassCurve.Jacobian.Point.add_def", "WeierstrassCurve.Jacobian.Point.fromAffine_ne_zero", "WeierstrassCurve.Jacobian.Point.fromAffine_some", "WeierstrassCurve.Jacobian.Point.fromAffine_zero", "WeierstrassCurve.Jacobian.Point.toAffineLift_add", "WeierstrassCurve.Jacobian.Point.toAffineLift_eq", "WeierstrassCurve.Jacobian.Point.toAffineLift_neg", "WeierstrassCurve.Jacobian.Point.toAffineLift_of_Z_eq_zero", "WeierstrassCurve.Jacobian.Point.toAffineLift_of_Z_ne_zero", "WeierstrassCurve.Jacobian.Point.toAffineLift_zero", "WeierstrassCurve.Jacobian.Point.toAffine_add", "WeierstrassCurve.Jacobian.Point.toAffine_add_of_Z_ne_zero", "WeierstrassCurve.Jacobian.Point.toAffine_neg", "WeierstrassCurve.Jacobian.Point.toAffine_of_Z_eq_zero", "WeierstrassCurve.Jacobian.Point.toAffine_of_Z_ne_zero", "WeierstrassCurve.Jacobian.Point.toAffine_of_singular", "WeierstrassCurve.Jacobian.Point.toAffine_smul", "WeierstrassCurve.Jacobian.Point.toAffine_some", "WeierstrassCurve.Jacobian.Point.zero_def", "WeierstrassCurve.Jacobian.X_eq_iff", "WeierstrassCurve.Jacobian.X_eq_of_equiv", "WeierstrassCurve.Jacobian.X_ne_zero_of_Z_eq_zero", "WeierstrassCurve.Jacobian.Y_eq_iff", "WeierstrassCurve.Jacobian.Y_eq_iff'", "WeierstrassCurve.Jacobian.Y_eq_negY_of_Y_eq", "WeierstrassCurve.Jacobian.Y_eq_of_Y_ne", "WeierstrassCurve.Jacobian.Y_eq_of_equiv", "WeierstrassCurve.Jacobian.Y_ne_negY_of_Y_ne", "WeierstrassCurve.Jacobian.Y_ne_negY_of_Y_ne'", "WeierstrassCurve.Jacobian.Y_ne_zero_of_Z_eq_zero", "WeierstrassCurve.Jacobian.Y_sub_Y_add_Y_sub_negY", "WeierstrassCurve.Jacobian.Y_sub_Y_mul_Y_sub_negY", "WeierstrassCurve.Jacobian.Z_eq_zero_of_equiv", "WeierstrassCurve.Jacobian.addMap_eq", "WeierstrassCurve.Jacobian.addMap_of_Y_eq", "WeierstrassCurve.Jacobian.addMap_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addMap_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addMap_of_Z_ne_zero", "WeierstrassCurve.Jacobian.addU_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addU_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addU_smul", "WeierstrassCurve.Jacobian.addXYZ_neg", "WeierstrassCurve.Jacobian.addXYZ_of_X_eq", "WeierstrassCurve.Jacobian.addXYZ_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addXYZ_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addXYZ_of_Z_ne_zero", "WeierstrassCurve.Jacobian.addXYZ_self", "WeierstrassCurve.Jacobian.addXYZ_smul", "WeierstrassCurve.Jacobian.addX_eq", "WeierstrassCurve.Jacobian.addX_eq'", "WeierstrassCurve.Jacobian.addX_neg", "WeierstrassCurve.Jacobian.addX_of_X_eq", "WeierstrassCurve.Jacobian.addX_of_X_eq'", "WeierstrassCurve.Jacobian.addX_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addX_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addX_of_Z_ne_zero", "WeierstrassCurve.Jacobian.addX_self", "WeierstrassCurve.Jacobian.addX_smul", "WeierstrassCurve.Jacobian.addY_neg", "WeierstrassCurve.Jacobian.addY_of_X_eq", "WeierstrassCurve.Jacobian.addY_of_X_eq'", "WeierstrassCurve.Jacobian.addY_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addY_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.addY_self", "WeierstrassCurve.Jacobian.addY_smul", "WeierstrassCurve.Jacobian.addZ_ne_zero_of_X_ne", "WeierstrassCurve.Jacobian.addZ_neg", "WeierstrassCurve.Jacobian.addZ_of_X_eq", "WeierstrassCurve.Jacobian.addZ_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.addZ_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.addZ_self", "WeierstrassCurve.Jacobian.addZ_smul", "WeierstrassCurve.Jacobian.add_equiv", "WeierstrassCurve.Jacobian.add_of_X_ne", "WeierstrassCurve.Jacobian.add_of_Y_eq", "WeierstrassCurve.Jacobian.add_of_Y_ne", "WeierstrassCurve.Jacobian.add_of_Y_ne'", "WeierstrassCurve.Jacobian.add_of_Z_eq_zero", "WeierstrassCurve.Jacobian.add_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.add_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.add_of_eq", "WeierstrassCurve.Jacobian.add_of_not_equiv", "WeierstrassCurve.Jacobian.add_smul_equiv", "WeierstrassCurve.Jacobian.add_smul_of_equiv", "WeierstrassCurve.Jacobian.add_smul_of_not_equiv", "WeierstrassCurve.Jacobian.dblU_eq", "WeierstrassCurve.Jacobian.dblU_of_Z_eq_zero", "WeierstrassCurve.Jacobian.dblU_smul", "WeierstrassCurve.Jacobian.dblXYZ_of_Y_eq", "WeierstrassCurve.Jacobian.dblXYZ_of_Y_eq'", "WeierstrassCurve.Jacobian.dblXYZ_of_Z_eq_zero", "WeierstrassCurve.Jacobian.dblXYZ_of_Z_ne_zero", "WeierstrassCurve.Jacobian.dblXYZ_smul", "WeierstrassCurve.Jacobian.dblX_of_Y_eq", "WeierstrassCurve.Jacobian.dblX_of_Z_eq_zero", "WeierstrassCurve.Jacobian.dblX_of_Z_ne_zero", "WeierstrassCurve.Jacobian.dblX_smul", "WeierstrassCurve.Jacobian.dblY_of_Y_eq", "WeierstrassCurve.Jacobian.dblY_of_Z_eq_zero", "WeierstrassCurve.Jacobian.dblY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.dblY_smul", "WeierstrassCurve.Jacobian.dblZ_ne_zero_of_Y_ne'", "WeierstrassCurve.Jacobian.dblZ_of_Y_eq", "WeierstrassCurve.Jacobian.dblZ_of_Z_eq_zero", "WeierstrassCurve.Jacobian.dblZ_smul", "WeierstrassCurve.Jacobian.equation_iff", "WeierstrassCurve.Jacobian.equation_of_Z_eq_zero", "WeierstrassCurve.Jacobian.equation_of_Z_ne_zero", "WeierstrassCurve.Jacobian.equation_of_equiv", "WeierstrassCurve.Jacobian.equation_smul", "WeierstrassCurve.Jacobian.equation_some", "WeierstrassCurve.Jacobian.equation_zero", "WeierstrassCurve.Jacobian.equiv_iff_eq_of_Z_eq", "WeierstrassCurve.Jacobian.equiv_iff_eq_of_Z_eq'", "WeierstrassCurve.Jacobian.equiv_of_X_eq_of_Y_eq", "WeierstrassCurve.Jacobian.equiv_of_Z_eq_zero", "WeierstrassCurve.Jacobian.equiv_some_of_Z_ne_zero", "WeierstrassCurve.Jacobian.equiv_zero_of_Z_eq_zero", "WeierstrassCurve.Jacobian.eval_polynomial", "WeierstrassCurve.Jacobian.eval_polynomialX", "WeierstrassCurve.Jacobian.eval_polynomialX_of_Z_ne_zero", "WeierstrassCurve.Jacobian.eval_polynomialY", "WeierstrassCurve.Jacobian.eval_polynomialY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.eval_polynomialZ", "WeierstrassCurve.Jacobian.eval_polynomial_of_Z_ne_zero", "WeierstrassCurve.Jacobian.fin3_def_ext", "WeierstrassCurve.Jacobian.isUnit_X_of_Z_eq_zero", "WeierstrassCurve.Jacobian.isUnit_Y_of_Z_eq_zero", "WeierstrassCurve.Jacobian.isUnit_addU_of_Y_ne", "WeierstrassCurve.Jacobian.isUnit_addZ_of_X_ne", "WeierstrassCurve.Jacobian.isUnit_dblU_of_Y_eq", "WeierstrassCurve.Jacobian.isUnit_dblZ_of_Y_ne", "WeierstrassCurve.Jacobian.map_addX", "WeierstrassCurve.Jacobian.map_addXYZ", "WeierstrassCurve.Jacobian.map_addY", "WeierstrassCurve.Jacobian.map_addZ", "WeierstrassCurve.Jacobian.map_dblU", "WeierstrassCurve.Jacobian.map_dblX", "WeierstrassCurve.Jacobian.map_dblXYZ", "WeierstrassCurve.Jacobian.map_dblY", "WeierstrassCurve.Jacobian.map_dblZ", "WeierstrassCurve.Jacobian.map_negDblY", "WeierstrassCurve.Jacobian.map_negY", "WeierstrassCurve.Jacobian.map_polynomial", "WeierstrassCurve.Jacobian.map_polynomialX", "WeierstrassCurve.Jacobian.map_polynomialY", "WeierstrassCurve.Jacobian.map_polynomialZ", "WeierstrassCurve.Jacobian.map_smul", "WeierstrassCurve.Jacobian.negAddY_eq", "WeierstrassCurve.Jacobian.negAddY_eq'", "WeierstrassCurve.Jacobian.negAddY_neg", "WeierstrassCurve.Jacobian.negAddY_of_X_eq", "WeierstrassCurve.Jacobian.negAddY_of_X_eq'", "WeierstrassCurve.Jacobian.negAddY_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.negAddY_of_Z_eq_zero_right", "WeierstrassCurve.Jacobian.negAddY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.negAddY_self", "WeierstrassCurve.Jacobian.negAddY_smul", "WeierstrassCurve.Jacobian.negDblY_of_Y_eq", "WeierstrassCurve.Jacobian.negDblY_of_Z_eq_zero", "WeierstrassCurve.Jacobian.negDblY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.negDblY_smul", "WeierstrassCurve.Jacobian.negMap_eq", "WeierstrassCurve.Jacobian.negMap_of_Z_eq_zero", "WeierstrassCurve.Jacobian.negMap_of_Z_ne_zero", "WeierstrassCurve.Jacobian.negY_of_Z_eq_zero", "WeierstrassCurve.Jacobian.negY_of_Z_ne_zero", "WeierstrassCurve.Jacobian.negY_smul", "WeierstrassCurve.Jacobian.neg_equiv", "WeierstrassCurve.Jacobian.neg_of_Z_eq_zero", "WeierstrassCurve.Jacobian.neg_of_Z_eq_zero'", "WeierstrassCurve.Jacobian.neg_of_Z_ne_zero", "WeierstrassCurve.Jacobian.neg_smul", "WeierstrassCurve.Jacobian.neg_smul_equiv", "WeierstrassCurve.Jacobian.nonsingularLift_addMap", "WeierstrassCurve.Jacobian.nonsingularLift_iff", "WeierstrassCurve.Jacobian.nonsingularLift_negMap", "WeierstrassCurve.Jacobian.nonsingularLift_zero", "WeierstrassCurve.Jacobian.nonsingular_add", "WeierstrassCurve.Jacobian.nonsingular_add_of_Z_ne_zero", "WeierstrassCurve.Jacobian.nonsingular_iff", "WeierstrassCurve.Jacobian.nonsingular_iff_of_Y_eq_negY", "WeierstrassCurve.Jacobian.nonsingular_iff_of_Z_ne_zero", "WeierstrassCurve.Jacobian.nonsingular_neg", "WeierstrassCurve.Jacobian.nonsingular_neg_of_Z_ne_zero", "WeierstrassCurve.Jacobian.nonsingular_of_Z_eq_zero", "WeierstrassCurve.Jacobian.nonsingular_of_Z_ne_zero", "WeierstrassCurve.Jacobian.nonsingular_smul", "WeierstrassCurve.Jacobian.nonsingular_some", "WeierstrassCurve.Jacobian.nonsingular_zero", "WeierstrassCurve.Jacobian.not_equiv_of_X_ne", "WeierstrassCurve.Jacobian.not_equiv_of_Z_eq_zero_left", "WeierstrassCurve.Jacobian.polynomialX_eq", "WeierstrassCurve.Jacobian.polynomialY_eq", "WeierstrassCurve.Jacobian.polynomialZ_eq", "WeierstrassCurve.Jacobian.smul_eq", "WeierstrassCurve.Jacobian.smul_equiv", "WeierstrassCurve.Jacobian.smul_fin3", "WeierstrassCurve.Jacobian.smul_fin3_ext", "WeierstrassCurve.Jacobian.toAffine_addX_of_eq", "WeierstrassCurve.Jacobian.toAffine_addX_of_ne", "WeierstrassCurve.Jacobian.toAffine_negAddY_of_eq", "WeierstrassCurve.Jacobian.toAffine_negAddY_of_ne", "WeierstrassCurve.Jacobian.toAffine_slope_of_eq", "WeierstrassCurve.Jacobian.toAffine_slope_of_ne", "WeierstrassCurve.Projective.equation_iff", "WeierstrassCurve.Projective.equation_smul_iff", "WeierstrassCurve.Projective.equation_some", "WeierstrassCurve.Projective.equiv_of_Z_eq_zero", "WeierstrassCurve.Projective.equiv_some_of_Z_ne_zero", "WeierstrassCurve.Projective.equiv_zero_of_Z_eq_zero", "WeierstrassCurve.Projective.eval_polynomial", "WeierstrassCurve.Projective.eval_polynomialX", "WeierstrassCurve.Projective.eval_polynomialY", "WeierstrassCurve.Projective.eval_polynomialZ", "WeierstrassCurve.Projective.fin3_def", "WeierstrassCurve.Projective.nonsingularLift_iff", "WeierstrassCurve.Projective.nonsingularLift_zero", "WeierstrassCurve.Projective.nonsingularLift_zero'", "WeierstrassCurve.Projective.nonsingular_affine_of_Z_ne_zero", "WeierstrassCurve.Projective.nonsingular_iff", "WeierstrassCurve.Projective.nonsingular_iff_affine_of_Z_ne_zero", "WeierstrassCurve.Projective.nonsingular_smul_iff", "WeierstrassCurve.Projective.nonsingular_some", "WeierstrassCurve.Projective.nonsingular_zero", "WeierstrassCurve.Projective.nonsingular_zero'", "WeierstrassCurve.Projective.polynomialX_eq", "WeierstrassCurve.Projective.polynomialY_eq", "WeierstrassCurve.Projective.polynomialZ_eq", "WeierstrassCurve.Projective.polynomial_relation", "WeierstrassCurve.Projective.smul_fin3", "WeierstrassCurve.Projective.smul_fin3_ext", "WeierstrassCurve.VariableChange.comp_assoc", "WeierstrassCurve.VariableChange.comp_id", "WeierstrassCurve.VariableChange.comp_left_inv", "WeierstrassCurve.VariableChange.comp_map", "WeierstrassCurve.VariableChange.id_comp", "WeierstrassCurve.VariableChange.id_map", "WeierstrassCurve.VariableChange.map_baseChange", "WeierstrassCurve.VariableChange.map_id", "WeierstrassCurve.VariableChange.map_injective", "WeierstrassCurve.VariableChange.map_map", "WeierstrassCurve.b_relation", "WeierstrassCurve.baseChange_pre\u03a8", "WeierstrassCurve.baseChange_pre\u03a8'", "WeierstrassCurve.baseChange_pre\u03a8\u2084", "WeierstrassCurve.baseChange_\u03a6", "WeierstrassCurve.baseChange_\u03a8Sq", "WeierstrassCurve.baseChange_\u03a8\u2082Sq", "WeierstrassCurve.baseChange_\u03a8\u2083", "WeierstrassCurve.baseChange_\u03c6", "WeierstrassCurve.baseChange_\u03c8\u2082", "WeierstrassCurve.c_relation", "WeierstrassCurve.coeff_pre\u03a8", "WeierstrassCurve.coeff_pre\u03a8'_ne_zero", "WeierstrassCurve.coeff_pre\u03a8_ne_zero", "WeierstrassCurve.coeff_\u03a6", "WeierstrassCurve.coeff_\u03a6_ne_zero", "WeierstrassCurve.coeff_\u03a8Sq", "WeierstrassCurve.coeff_\u03a8Sq_ne_zero", "WeierstrassCurve.coeff_\u03a8\u2082Sq", "WeierstrassCurve.coeff_\u03a8\u2082Sq_ne_zero", "WeierstrassCurve.coeff_\u03a8\u2083_ne_zero", "WeierstrassCurve.expCoeff_rec", "WeierstrassCurve.expDegree_cast", "WeierstrassCurve.expDegree_rec", "WeierstrassCurve.leadingCoeff_pre\u03a8", "WeierstrassCurve.leadingCoeff_pre\u03a8'", "WeierstrassCurve.leadingCoeff_pre\u03a8\u2084", "WeierstrassCurve.leadingCoeff_\u03a6", "WeierstrassCurve.leadingCoeff_\u03a8Sq", "WeierstrassCurve.leadingCoeff_\u03a8\u2082Sq", "WeierstrassCurve.leadingCoeff_\u03a8\u2083", "WeierstrassCurve.map_b\u2082", "WeierstrassCurve.map_b\u2084", "WeierstrassCurve.map_b\u2086", "WeierstrassCurve.map_b\u2088", "WeierstrassCurve.map_c\u2084", "WeierstrassCurve.map_c\u2086", "WeierstrassCurve.map_id", "WeierstrassCurve.map_injective", "WeierstrassCurve.map_pre\u03a8", "WeierstrassCurve.map_pre\u03a8'", "WeierstrassCurve.map_pre\u03a8\u2084", "WeierstrassCurve.map_variableChange", "WeierstrassCurve.map_\u0394", "WeierstrassCurve.map_\u03a6", "WeierstrassCurve.map_\u03a8", "WeierstrassCurve.map_\u03a8Sq", "WeierstrassCurve.map_\u03a8\u2082Sq", "WeierstrassCurve.map_\u03a8\u2083", "WeierstrassCurve.map_\u03c6", "WeierstrassCurve.map_\u03c8", "WeierstrassCurve.map_\u03c8\u2082", "WeierstrassCurve.natDegree_coeff_pre\u03a8'", "WeierstrassCurve.natDegree_coeff_\u03a6_ofNat", "WeierstrassCurve.natDegree_coeff_\u03a8Sq_ofNat", "WeierstrassCurve.natDegree_pre\u03a8", "WeierstrassCurve.natDegree_pre\u03a8'", "WeierstrassCurve.natDegree_pre\u03a8'_le", "WeierstrassCurve.natDegree_pre\u03a8'_pos", "WeierstrassCurve.natDegree_pre\u03a8_le", "WeierstrassCurve.natDegree_pre\u03a8_pos", "WeierstrassCurve.natDegree_pre\u03a8\u2084", "WeierstrassCurve.natDegree_pre\u03a8\u2084_le", "WeierstrassCurve.natDegree_\u03a6", "WeierstrassCurve.natDegree_\u03a6_le", "WeierstrassCurve.natDegree_\u03a6_pos", "WeierstrassCurve.natDegree_\u03a8Sq_le", "WeierstrassCurve.natDegree_\u03a8Sq_pos", "WeierstrassCurve.natDegree_\u03a8\u2082Sq", "WeierstrassCurve.natDegree_\u03a8\u2082Sq_le", "WeierstrassCurve.natDegree_\u03a8\u2082Sq_pos", "WeierstrassCurve.natDegree_\u03a8\u2083", "WeierstrassCurve.natDegree_\u03a8\u2083_le", "WeierstrassCurve.natDegree_\u03a8\u2083_pos", "WeierstrassCurve.ofJ0_c\u2084", "WeierstrassCurve.ofJ0_\u0394", "WeierstrassCurve.ofJ1728_c\u2084", "WeierstrassCurve.ofJ1728_\u0394", "WeierstrassCurve.ofJ_c\u2084", "WeierstrassCurve.ofJ_\u0394", "WeierstrassCurve.pre\u03a8'_even", "WeierstrassCurve.pre\u03a8'_four", "WeierstrassCurve.pre\u03a8'_one", "WeierstrassCurve.pre\u03a8'_three", "WeierstrassCurve.pre\u03a8'_two", "WeierstrassCurve.pre\u03a8'_zero", "WeierstrassCurve.pre\u03a8_even", "WeierstrassCurve.pre\u03a8_four", "WeierstrassCurve.pre\u03a8_ne_zero", "WeierstrassCurve.pre\u03a8_neg", "WeierstrassCurve.pre\u03a8_odd", "WeierstrassCurve.pre\u03a8_ofNat", "WeierstrassCurve.pre\u03a8_three", "WeierstrassCurve.pre\u03a8_two", "WeierstrassCurve.pre\u03a8_zero", "WeierstrassCurve.twoTorsionPolynomial_disc", "WeierstrassCurve.twoTorsionPolynomial_disc_isUnit", "WeierstrassCurve.twoTorsionPolynomial_disc_ne_zero", "WeierstrassCurve.variableChange_b\u2082", "WeierstrassCurve.variableChange_b\u2084", "WeierstrassCurve.variableChange_b\u2086", "WeierstrassCurve.variableChange_b\u2088", "WeierstrassCurve.variableChange_comp", "WeierstrassCurve.variableChange_c\u2084", "WeierstrassCurve.variableChange_c\u2086", "WeierstrassCurve.variableChange_id", "WeierstrassCurve.variableChange_\u0394", "WeierstrassCurve.\u03a6_four", "WeierstrassCurve.\u03a6_ne_zero", "WeierstrassCurve.\u03a6_neg", "WeierstrassCurve.\u03a6_ofNat", "WeierstrassCurve.\u03a6_one", "WeierstrassCurve.\u03a6_three", "WeierstrassCurve.\u03a6_two", "WeierstrassCurve.\u03a6_zero", "WeierstrassCurve.\u03a8Sq_even", "WeierstrassCurve.\u03a8Sq_four", "WeierstrassCurve.\u03a8Sq_ne_zero", "WeierstrassCurve.\u03a8Sq_neg", "WeierstrassCurve.\u03a8Sq_odd", "WeierstrassCurve.\u03a8Sq_ofNat", "WeierstrassCurve.\u03a8Sq_one", "WeierstrassCurve.\u03a8Sq_three", "WeierstrassCurve.\u03a8Sq_two", "WeierstrassCurve.\u03a8Sq_zero", "WeierstrassCurve.\u03a8_even", "WeierstrassCurve.\u03a8_four", "WeierstrassCurve.\u03a8_neg", "WeierstrassCurve.\u03a8_odd", "WeierstrassCurve.\u03a8_ofNat", "WeierstrassCurve.\u03a8_one", "WeierstrassCurve.\u03a8_three", "WeierstrassCurve.\u03a8_two", "WeierstrassCurve.\u03a8_zero", "WeierstrassCurve.\u03a8\u2082Sq_eq", "WeierstrassCurve.\u03a8\u2082Sq_ne_zero", "WeierstrassCurve.\u03c6_four", "WeierstrassCurve.\u03c6_neg", "WeierstrassCurve.\u03c6_one", "WeierstrassCurve.\u03c6_three", "WeierstrassCurve.\u03c6_two", "WeierstrassCurve.\u03c6_zero", "WeierstrassCurve.\u03c8_even", "WeierstrassCurve.\u03c8_four", "WeierstrassCurve.\u03c8_odd", "WeierstrassCurve.\u03c8_one", "WeierstrassCurve.\u03c8_three", "WeierstrassCurve.\u03c8_two", "WeierstrassCurve.\u03c8_zero", "WeierstrassCurve.\u03c8\u2082_sq", "WellFounded.asymmetric", "WellFounded.cutExpand", "WellFounded.eq_strictMono_iff_eq_range", "WellFounded.eq_strictMono_iff_eq_range_aux", "WellFounded.exists_well_order_ge", "WellFounded.fixF_eq_fixFC", "WellFounded.fix_eq", "WellFounded.iSup_eq_monotonicSequenceLimit", "WellFounded.induction_bot", "WellFounded.induction_bot'", "WellFounded.isWF", "WellFounded.list_chain'", "WellFounded.lt_succ", "WellFounded.lt_succ_iff", "WellFounded.lt_sup", "WellFounded.min_le", "WellFounded.min_mem", "WellFounded.mono", "WellFounded.monotone_chain_condition", "WellFounded.monotone_chain_condition'", "WellFounded.not_lt_min", "WellFounded.onFun", "WellFounded.prod_gameAdd", "WellFounded.prod_lex_of_wellFoundedOn_fiber", "WellFounded.rank_eq", "WellFounded.rank_lt_of_rel", "WellFounded.rank_strictMono", "WellFounded.sigma_lex_of_wellFoundedOn_fiber", "WellFounded.sym2_gameAdd", "WellFounded.wellFoundedOn", "WellFounded.wellFounded_iff_has_min", "WellFoundedGT.apply", "WellFoundedGT.fix_eq", "WellFoundedLT.apply", "WfDvdMonoid.exists_factors", "WfDvdMonoid.exists_irreducible_factor", "WfDvdMonoid.iff_wellFounded_associates", "WfDvdMonoid.isRelPrime_of_no_irreducible_factors", "WfDvdMonoid.max_power_factor", "WfDvdMonoid.max_power_factor'", "WfDvdMonoid.not_unit_iff_exists_factors_eq", "WfDvdMonoid.of_exists_prime_factors", "WfDvdMonoid.of_wellFounded_associates", "WfDvdMonoid.of_wfDvdMonoid_associates", "WfDvdMonoid.wellFounded_associates", "WithBot.Icc_bot_coe", "WithBot.Icc_coe_coe", "WithBot.Ico_bot_coe", "WithBot.Ico_coe_coe", "WithBot.Ioc_bot_coe", "WithBot.Ioc_coe_coe", "WithBot.Ioo_bot_coe", "WithBot.Ioo_coe_coe", "WithBot.add_bot", "WithBot.add_coe_eq_bot_iff", "WithBot.add_eq_bot", "WithBot.add_le_add_iff_right", "WithBot.add_lt_add_iff_left", "WithBot.add_lt_add_right", "WithBot.add_right_cancel", "WithBot.add_right_cancel_iff", "WithBot.bot_add", "WithBot.bot_lt_add", "WithBot.bot_lt_coe", "WithBot.bot_lt_iff_ne_bot", "WithBot.bot_lt_mul'", "WithBot.bot_lt_sum_iff", "WithBot.bot_mul", "WithBot.bot_mul_bot", "WithBot.bot_ne_ofNat", "WithBot.bot_ne_one", "WithBot.ciSup_empty", "WithBot.coe_add", "WithBot.coe_eq_coe", "WithBot.coe_eq_one", "WithBot.coe_eq_top", "WithBot.coe_iInf", "WithBot.coe_le", "WithBot.coe_le_coe", "WithBot.coe_le_one", "WithBot.coe_lt_coe", "WithBot.coe_lt_one", "WithBot.coe_max", "WithBot.coe_min", "WithBot.coe_mul", "WithBot.coe_mul_eq_bind", "WithBot.coe_natCast", "WithBot.coe_ne_bot", "WithBot.coe_nsmul", "WithBot.coe_sSup'", "WithBot.coe_strictMono", "WithBot.coe_sum", "WithBot.coe_sup", "WithBot.coe_top", "WithBot.coe_unbot", "WithBot.exists", "WithBot.forall", "WithBot.image_coe_Icc", "WithBot.image_coe_Ici", "WithBot.image_coe_Ico", "WithBot.image_coe_Iic", "WithBot.image_coe_Iio", "WithBot.image_coe_Ioc", "WithBot.image_coe_Ioi", "WithBot.image_coe_Ioo", "WithBot.le_bot_iff", "WithBot.le_coe_iff", "WithBot.le_coe_unbot'", "WithBot.le_ofDual_iff", "WithBot.le_of_add_le_add_right", "WithBot.le_toDual_iff", "WithBot.le_unbot_iff", "WithBot.lt_iff_exists_coe", "WithBot.lt_ofDual_iff", "WithBot.lt_toDual_iff", "WithBot.map_add", "WithBot.map_bot", "WithBot.map_coe", "WithBot.map_le_iff", "WithBot.map_ofDual", "WithBot.map_one", "WithBot.map\u2082_bot_left", "WithBot.map\u2082_bot_right", "WithBot.map\u2082_coe_coe", "WithBot.map\u2082_coe_left", "WithBot.monotone_iff", "WithBot.monotone_map_iff", "WithBot.mul_bot", "WithBot.mul_coe_eq_bind", "WithBot.mul_def", "WithBot.mul_eq_bot_iff", "WithBot.natCast_ne_bot", "WithBot.ne_bot_iff_exists", "WithBot.none_le", "WithBot.none_lt_some", "WithBot.not_lt_none", "WithBot.ofDual_apply_bot", "WithBot.ofDual_apply_coe", "WithBot.ofDual_le_iff", "WithBot.ofDual_le_ofDual_iff", "WithBot.ofDual_lt_iff", "WithBot.ofDual_lt_ofDual_iff", "WithBot.ofDual_map", "WithBot.ofDual_symm_apply", "WithBot.ofNat_eq_coe", "WithBot.ofNat_ne_bot", "WithBot.one_eq_coe", "WithBot.one_le_coe", "WithBot.one_lt_coe", "WithBot.orderIsoPUnitSumLex_bot", "WithBot.orderIsoPUnitSumLex_symm_inr", "WithBot.preimage_coe_Icc", "WithBot.preimage_coe_Ici", "WithBot.preimage_coe_Ico", "WithBot.preimage_coe_Iic", "WithBot.preimage_coe_Iio", "WithBot.preimage_coe_Ioc", "WithBot.preimage_coe_Ioc_bot", "WithBot.preimage_coe_Ioi", "WithBot.preimage_coe_Ioi_bot", "WithBot.preimage_coe_Ioo", "WithBot.preimage_coe_Ioo_bot", "WithBot.preimage_coe_bot", "WithBot.prod_lt_bot", "WithBot.range_coe", "WithBot.range_eq", "WithBot.recBotCoe_bot", "WithBot.recBotCoe_coe", "WithBot.sInf_eq", "WithBot.sSup_eq", "WithBot.some_eq_coe", "WithBot.some_le_some", "WithBot.some_lt_some", "WithBot.strictAnti_iff", "WithBot.strictMono_map_iff", "WithBot.succ_bot", "WithBot.succ_coe", "WithBot.succ_unbot", "WithBot.sum_eq_bot_iff", "WithBot.sum_lt_bot", "WithBot.toDualTopEquiv_bot", "WithBot.toDualTopEquiv_coe", "WithBot.toDualTopEquiv_symm_bot", "WithBot.toDualTopEquiv_symm_coe", "WithBot.toDual_apply_bot", "WithBot.toDual_lt_toDual_iff", "WithBot.toDual_map", "WithBot.toDual_symm_apply", "WithBot.top_eq_coe", "WithBot.unbot'_bot", "WithBot.unbot'_coe", "WithBot.unbot'_eq_iff", "WithBot.unbot'_eq_self_iff", "WithBot.unbot'_eq_unbot'_iff", "WithBot.unbot'_le_iff", "WithBot.unbot'_lt_iff", "WithBot.unbot'_zero_mul", "WithBot.unbot_coe", "WithBot.unbot_le_iff", "WithBot.unbot_one", "WithBot.unbot_one'", "WithLp.edist_equiv_symm_snd", "WithLp.equiv_add", "WithLp.equiv_neg", "WithLp.equiv_pi_apply", "WithLp.equiv_snd", "WithLp.equiv_sub", "WithLp.equiv_symm_fst", "WithLp.equiv_symm_neg", "WithLp.equiv_symm_pi_apply", "WithLp.equiv_symm_single", "WithLp.equiv_symm_smul", "WithLp.equiv_symm_snd", "WithLp.equiv_symm_zero", "WithLp.neg_fst", "WithLp.nndist_equiv_symm_fst", "WithLp.nndist_equiv_symm_snd", "WithLp.nnnorm_equiv_symm_fst", "WithLp.nnnorm_equiv_symm_snd", "WithLp.norm_equiv_symm_snd", "WithLp.prod_antilipschitzWith_equiv", "WithLp.prod_antilipschitzWith_equiv_aux", "WithLp.prod_aux_cobounded_eq", "WithLp.prod_aux_uniformity_eq", "WithLp.prod_continuous_equiv", "WithLp.prod_continuous_equiv_symm", "WithLp.prod_dist_eq_add", "WithLp.prod_dist_eq_card", "WithLp.prod_dist_eq_of_L2", "WithLp.prod_dist_eq_sup", "WithLp.prod_edist_comm", "WithLp.prod_edist_eq_card", "WithLp.prod_edist_eq_sup", "WithLp.prod_edist_self", "WithLp.prod_infty_equiv_isometry", "WithLp.prod_inner_apply", "WithLp.prod_lipschitzWith_equiv", "WithLp.prod_lipschitzWith_equiv_aux", "WithLp.prod_nndist_eq_add", "WithLp.prod_nndist_eq_sup", "WithLp.prod_nnnorm_eq_add", "WithLp.prod_nnnorm_eq_of_L2", "WithLp.prod_nnnorm_eq_sup", "WithLp.prod_nnnorm_equiv", "WithLp.prod_nnnorm_equiv_symm", "WithLp.prod_norm_eq_add", "WithLp.prod_norm_eq_card", "WithLp.prod_norm_eq_of_nat", "WithLp.prod_norm_eq_sup", "WithLp.prod_norm_equiv", "WithLp.prod_norm_equiv_symm", "WithLp.prod_norm_sq_eq_of_L2", "WithLp.prod_sup_edist_ne_top_aux", "WithLp.prod_uniformContinuous_equiv", "WithLp.prod_uniformContinuous_equiv_symm", "WithLp.smul_snd", "WithLp.sub_fst", "WithLp.unitization_algebraMap", "WithLp.unitization_isometry_inr", "WithLp.unitization_nnnorm_def", "WithLp.unitization_norm_inr", "WithLp.zero_fst", "WithLp.zero_snd", "WithOne.cases_on", "WithOne.coe_inv", "WithOne.coe_ne_one", "WithOne.coe_unone", "WithOne.lift_coe", "WithOne.lift_one", "WithOne.lift_unique", "WithOne.map_id", "WithOne.map_map", "WithOne.ne_one_iff_exists", "WithOne.one_ne_coe", "WithSeminorms.T1_of_separating", "WithSeminorms.banach_steinhaus", "WithSeminorms.congr", "WithSeminorms.continuousSMul", "WithSeminorms.continuous_seminorm", "WithSeminorms.equicontinuous_TFAE", "WithSeminorms.finset_sups", "WithSeminorms.first_countable", "WithSeminorms.hasBasis", "WithSeminorms.hasBasis_ball", "WithSeminorms.hasBasis_zero_ball", "WithSeminorms.image_isVonNBounded_iff_finset_seminorm_bounded", "WithSeminorms.image_isVonNBounded_iff_seminorm_bounded", "WithSeminorms.isOpen_iff_mem_balls", "WithSeminorms.isVonNBounded_iff_finset_seminorm_bounded", "WithSeminorms.isVonNBounded_iff_seminorm_bounded", "WithSeminorms.mem_nhds_iff", "WithSeminorms.partial_sups", "WithSeminorms.separating_iff_T1", "WithSeminorms.separating_of_T1", "WithSeminorms.tendsto_nhds", "WithSeminorms.tendsto_nhds'", "WithSeminorms.tendsto_nhds_atTop", "WithSeminorms.toLocallyConvexSpace", "WithSeminorms.uniformEquicontinuous_iff_bddAbove_and_continuous_iSup", "WithSeminorms.uniformEquicontinuous_iff_exists_continuous_seminorm", "WithSeminorms.withSeminorms_eq", "WithTop.Ico_coe_coe", "WithTop.Ico_coe_top", "WithTop.Ioc_coe_coe", "WithTop.Ioc_coe_top", "WithTop.Ioo_coe_top", "WithTop.LinearOrderedAddCommGroup.coe_sub", "WithTop.LinearOrderedAddCommGroup.neg_top", "WithTop.LinearOrderedAddCommGroup.sub_top", "WithTop.LinearOrderedAddCommGroup.top_sub", "WithTop.add_coe_eq_top_iff", "WithTop.add_eq_top", "WithTop.add_le_add_iff_left", "WithTop.add_le_add_iff_right", "WithTop.add_left_cancel", "WithTop.add_left_cancel_iff", "WithTop.add_lt_add_iff_left", "WithTop.add_lt_add_left", "WithTop.add_lt_add_of_le_of_lt", "WithTop.add_lt_add_of_lt_of_le", "WithTop.add_lt_add_right", "WithTop.add_lt_top", "WithTop.add_ne_top", "WithTop.add_right_cancel_iff", "WithTop.add_top", "WithTop.aux", "WithTop.bot_eq_coe", "WithTop.coe_add", "WithTop.coe_bot", "WithTop.coe_eq_bot", "WithTop.coe_eq_coe", "WithTop.coe_eq_ofNat", "WithTop.coe_eq_one", "WithTop.coe_iInf", "WithTop.coe_iSup", "WithTop.coe_inf", "WithTop.coe_inj", "WithTop.coe_injective", "WithTop.coe_le_coe", "WithTop.coe_le_iff", "WithTop.coe_lt_coe", "WithTop.coe_lt_iff", "WithTop.coe_lt_top", "WithTop.coe_mono", "WithTop.coe_mul_eq_bind", "WithTop.coe_ne_top", "WithTop.coe_ofNat", "WithTop.coe_one", "WithTop.coe_sInf", "WithTop.coe_sInf'", "WithTop.coe_sSup", "WithTop.coe_sSup'", "WithTop.coe_strictMono", "WithTop.coe_sub", "WithTop.coe_sum", "WithTop.coe_sup", "WithTop.coe_toDualBotEquiv", "WithTop.coe_untop", "WithTop.coe_untop'_le", "WithTop.distrib'", "WithTop.exists", "WithTop.iInf_coe_eq_top", "WithTop.iInf_coe_lt_top", "WithTop.iInf_empty", "WithTop.iSup_coe_eq_top", "WithTop.iSup_coe_lt_top", "WithTop.image_coe_Icc", "WithTop.image_coe_Ici", "WithTop.image_coe_Ico", "WithTop.image_coe_Iic", "WithTop.image_coe_Iio", "WithTop.image_coe_Ioc", "WithTop.image_coe_Ioi", "WithTop.image_coe_Ioo", "WithTop.isGLB_sInf", "WithTop.isGLB_sInf'", "WithTop.isLUB_sSup", "WithTop.isLUB_sSup'", "WithTop.le_coe_iff", "WithTop.le_none", "WithTop.le_ofDual_iff", "WithTop.le_of_add_le_add_left", "WithTop.le_of_add_le_add_right", "WithTop.le_toDual_iff", "WithTop.le_untop'_iff", "WithTop.le_untop_iff", "WithTop.lt_iff_exists_coe", "WithTop.lt_ofDual_iff", "WithTop.lt_toDual_iff", "WithTop.lt_top_iff_ne_top", "WithTop.lt_untop'_iff", "WithTop.map_add", "WithTop.map_coe", "WithTop.map_comm", "WithTop.map_le_iff", "WithTop.map_ofDual", "WithTop.map_one", "WithTop.map_sub", "WithTop.map_top", "WithTop.map\u2082_coe_coe", "WithTop.map\u2082_eq_top_iff", "WithTop.monotone_iff", "WithTop.monotone_map_iff", "WithTop.mul_def", "WithTop.mul_lt_top", "WithTop.mul_lt_top'", "WithTop.mul_top", "WithTop.natCast_ne_top", "WithTop.ne_top_iff_exists", "WithTop.none_eq_top", "WithTop.not_none_lt", "WithTop.not_top_le_coe", "WithTop.not_top_lt", "WithTop.ofDual_apply_coe", "WithTop.ofDual_apply_top", "WithTop.ofDual_le_iff", "WithTop.ofDual_le_ofDual_iff", "WithTop.ofDual_lt_iff", "WithTop.ofDual_map", "WithTop.ofNat_ne_top", "WithTop.one_eq_coe", "WithTop.one_le_coe", "WithTop.one_ne_top", "WithTop.orderIsoSumLexPUnit_symm_inr", "WithTop.orderIsoSumLexPUnit_toLex", "WithTop.orderIsoSumLexPUnit_top", "WithTop.pred_top", "WithTop.preimage_coe_Icc", "WithTop.preimage_coe_Ico_top", "WithTop.preimage_coe_Iio", "WithTop.preimage_coe_Ioc", "WithTop.preimage_coe_Ioi", "WithTop.preimage_coe_Ioo", "WithTop.preimage_coe_Ioo_top", "WithTop.preimage_coe_top", "WithTop.prod_lt_top", "WithTop.range_coe", "WithTop.range_eq", "WithTop.recTopCoe_coe", "WithTop.sInf_empty", "WithTop.sInf_eq", "WithTop.sSup_eq", "WithTop.some_le_some", "WithTop.strictAnti_iff", "WithTop.strictMono_iff", "WithTop.strictMono_map_iff", "WithTop.sub_eq_top_iff", "WithTop.sub_top", "WithTop.succ_coe", "WithTop.succ_coe_of_ne_top", "WithTop.sum_eq_top_iff", "WithTop.sum_lt_top_iff", "WithTop.toDualBotEquiv_symm_top", "WithTop.toDual_apply_coe", "WithTop.toDual_le_toDual_iff", "WithTop.toDual_lt_toDual_iff", "WithTop.toDual_map", "WithTop.toDual_symm_apply", "WithTop.top_add", "WithTop.top_le_iff", "WithTop.top_mul", "WithTop.top_mul'", "WithTop.top_ne_natCast", "WithTop.top_ne_ofNat", "WithTop.top_ne_one", "WithTop.top_pow", "WithTop.untop'_eq_self_iff", "WithTop.untop'_top", "WithTop.untop'_zero_mul", "WithTop.untop_coe", "WithTop.untop_le_iff", "WithTop.untop_one'", "WithTop.zero_lt_top", "WithZero.coe_div", "WithZero.coe_le_iff", "WithZero.coe_le_one", "WithZero.coe_lt_coe", "WithZero.coe_mul", "WithZero.coe_one", "WithZero.coe_zpow", "WithZero.covariantClass_add_le", "WithZero.inv_zero", "WithZero.le_max_iff", "WithZero.lift'_unique", "WithZero.lift'_zero", "WithZero.map'_coe", "WithZero.map'_id", "WithZero.map'_map'", "WithZero.min_le_iff", "WithZero.monoidWithZeroHom_ext", "WithZero.one_le_coe", "WithZero.one_lt_coe", "WithZero.toMulBot_coe_ofAdd", "WithZero.toMulBot_le", "WithZero.toMulBot_lt", "WithZero.toMulBot_strictMono", "WithZero.toMulBot_symm_bot", "WithZero.unzero_mul", "WithZero.zero_eq_bot", "WithZeroTopology.Iio_mem_nhds", "WithZeroTopology.hasBasis_nhds_of_ne_zero", "WithZeroTopology.hasBasis_nhds_units", "WithZeroTopology.hasBasis_nhds_zero", "WithZeroTopology.isClosed_iff", "WithZeroTopology.isOpen_Iio", "WithZeroTopology.isOpen_iff", "WithZeroTopology.nhds_coe_units", "WithZeroTopology.nhds_eq_update", "WithZeroTopology.nhds_of_ne_zero", "WithZeroTopology.nhds_zero", "WithZeroTopology.nhds_zero_of_units", "WithZeroTopology.singleton_mem_nhds_of_ne_zero", "WithZeroTopology.singleton_mem_nhds_of_units", "WithZeroTopology.tendsto_units", "WithZeroTopology.tendsto_zero", "WittVector.FractionRing.p_nonzero", "WittVector.IsPoly.ext", "WittVector.IsPoly.map", "WittVector.IsPoly\u2082.ext", "WittVector.IsPoly\u2082.map", "WittVector.RecursionBase.solution_nonzero", "WittVector.RecursionBase.solution_pow", "WittVector.RecursionBase.solution_spec", "WittVector.RecursionBase.solution_spec'", "WittVector.RecursionMain.root_exists", "WittVector.RecursionMain.succNthDefiningPoly_degree", "WittVector.RecursionMain.succNthVal_spec", "WittVector.RecursionMain.succNthVal_spec'", "WittVector.add_coeff", "WittVector.add_coeff_zero", "WittVector.aeval_verschiebungPoly", "WittVector.aeval_verschiebung_poly'", "WittVector.bind\u2081_frobeniusPolyRat_wittPolynomial", "WittVector.bind\u2081_frobeniusPoly_wittPolynomial", "WittVector.bind\u2081_onePoly_wittPolynomial", "WittVector.bind\u2081_verschiebungPoly_wittPolynomial", "WittVector.bind\u2081_wittMulN_wittPolynomial", "WittVector.bind\u2081_zero_wittPolynomial", "WittVector.coeff_add_of_disjoint", "WittVector.coeff_frobenius", "WittVector.coeff_frobeniusFun", "WittVector.coeff_frobenius_charP", "WittVector.coeff_mk", "WittVector.coeff_p", "WittVector.coeff_p_one", "WittVector.coeff_p_pow", "WittVector.coeff_p_pow_eq_zero", "WittVector.coeff_p_zero", "WittVector.coeff_select", "WittVector.coeff_truncate", "WittVector.coeff_truncateFun", "WittVector.constantCoeff_wittAdd", "WittVector.constantCoeff_wittMul", "WittVector.constantCoeff_wittNSMul", "WittVector.constantCoeff_wittNeg", "WittVector.constantCoeff_wittSub", "WittVector.constantCoeff_wittZSMul", "WittVector.eq_iterate_verschiebung", "WittVector.exists_eq_pow_p_mul", "WittVector.exists_eq_pow_p_mul'", "WittVector.exists_frobenius_solution_fractionRing", "WittVector.exists_frobenius_solution_fractionRing_aux", "WittVector.ext", "WittVector.ext_iff", "WittVector.frobeniusPolyAux_eq", "WittVector.frobeniusPoly_zmod", "WittVector.frobeniusRotation_nonzero", "WittVector.frobenius_bijective", "WittVector.frobenius_eq_map_frobenius", "WittVector.frobenius_frobeniusRotation", "WittVector.frobenius_verschiebung", "WittVector.frobenius_zmodp", "WittVector.fromPadicInt_comp_toPadicInt", "WittVector.fromPadicInt_comp_toPadicInt_ext", "WittVector.ghostComponent_apply", "WittVector.ghostComponent_frobeniusFun", "WittVector.ghostComponent_teichmullerFun", "WittVector.ghostComponent_verschiebungFun", "WittVector.ghostComponent_zero_verschiebungFun", "WittVector.ghostEquiv_coe", "WittVector.ghostFun_add", "WittVector.ghostFun_intCast", "WittVector.ghostFun_mul", "WittVector.ghostFun_natCast", "WittVector.ghostFun_one", "WittVector.ghostFun_pow", "WittVector.ghostFun_sub", "WittVector.ghostFun_zsmul", "WittVector.ghostMap.bijective_of_invertible", "WittVector.ghostMap_apply", "WittVector.hom_ext", "WittVector.init_add_tail", "WittVector.init_init", "WittVector.init_isPoly", "WittVector.init_mul", "WittVector.init_neg", "WittVector.init_nsmul", "WittVector.init_pow", "WittVector.init_sub", "WittVector.init_zsmul", "WittVector.irreducible", "WittVector.isUnit_of_coeff_zero_ne_zero", "WittVector.isocrystal_classification", "WittVector.iterate_frobenius_coeff", "WittVector.iterate_verschiebung_coeff", "WittVector.iterate_verschiebung_mul", "WittVector.iterate_verschiebung_mul_coeff", "WittVector.iterate_verschiebung_mul_left", "WittVector.lift_unique", "WittVector.mapFun.add", "WittVector.mapFun.injective", "WittVector.mapFun.intCast", "WittVector.mapFun.mul", "WittVector.mapFun.natCast", "WittVector.mapFun.neg", "WittVector.mapFun.nsmul", "WittVector.mapFun.one", "WittVector.mapFun.pow", "WittVector.mapFun.surjective", "WittVector.mapFun.zero", "WittVector.mapFun.zsmul", "WittVector.map_coeff", "WittVector.map_frobeniusPoly", "WittVector.map_frobeniusPoly.key\u2082", "WittVector.map_injective", "WittVector.map_surjective", "WittVector.map_teichmuller", "WittVector.map_verschiebung", "WittVector.mem_ker_truncate", "WittVector.mulN_coeff", "WittVector.mulN_isPoly", "WittVector.mul_charP_coeff_succ", "WittVector.mul_charP_coeff_zero", "WittVector.mul_coeff", "WittVector.mul_polyOfInterest_aux1", "WittVector.mul_polyOfInterest_aux2", "WittVector.mul_polyOfInterest_aux3", "WittVector.mul_polyOfInterest_aux4", "WittVector.mul_polyOfInterest_aux5", "WittVector.mul_polyOfInterest_vars", "WittVector.neg_coeff", "WittVector.nsmul_coeff", "WittVector.nthRemainder_spec", "WittVector.nth_mul_coeff'", "WittVector.one_coeff_eq_of_pos", "WittVector.one_coeff_zero", "WittVector.out_truncateFun", "WittVector.p_nonzero", "WittVector.peval_polyOfInterest", "WittVector.peval_polyOfInterest'", "WittVector.polyOfInterest_vars", "WittVector.polyOfInterest_vars_eq", "WittVector.poly_eq_of_wittPolynomial_bind_eq", "WittVector.poly_eq_of_wittPolynomial_bind_eq'", "WittVector.remainder_vars", "WittVector.select_add_select_not", "WittVector.shift_coeff", "WittVector.teichmuller_coeff_zero", "WittVector.teichmuller_mul_aux\u2081", "WittVector.teichmuller_mul_aux\u2082", "WittVector.teichmuller_zero", "WittVector.toPadicInt_comp_fromPadicInt", "WittVector.toZModPow_compat", "WittVector.truncateFun_intCast", "WittVector.truncateFun_mul", "WittVector.truncateFun_pow", "WittVector.truncateFun_sub", "WittVector.truncateFun_surjective", "WittVector.truncateFun_zero", "WittVector.truncate_comp_lift", "WittVector.truncate_lift", "WittVector.truncate_liftFun", "WittVector.truncate_mk'", "WittVector.truncate_surjective", "WittVector.verschiebungFun_coeff_succ", "WittVector.verschiebungFun_coeff_zero", "WittVector.verschiebungPoly_zero", "WittVector.verschiebung_coeff_succ", "WittVector.verschiebung_coeff_zero", "WittVector.verschiebung_frobenius", "WittVector.verschiebung_frobenius_comm", "WittVector.verschiebung_isPoly", "WittVector.verschiebung_mul_frobenius", "WittVector.verschiebung_nonzero", "WittVector.verschiebung_shift", "WittVector.verschiebung_zmod", "WittVector.wittAdd_zero", "WittVector.wittMul_vars", "WittVector.wittMul_zero", "WittVector.wittNSMul_vars", "WittVector.wittNeg_vars", "WittVector.wittNeg_zero", "WittVector.wittOne_pos_eq_zero", "WittVector.wittOne_zero_eq_one", "WittVector.wittPolyProdRemainder_vars", "WittVector.wittPolyProd_vars", "WittVector.wittPow_vars", "WittVector.wittSub_vars", "WittVector.wittSub_zero", "WittVector.wittZero_eq_zero", "WittVector.zero_coeff", "WittVector.zmodEquivTrunc_compat", "WittVector.zsmul_coeff", "WriterT.ext", "WriterT.goto_mkLabel'", "X_pow_mul_sub_C_irreducible", "X_pow_sub_C_eq_prod", "X_pow_sub_C_eq_prod'", "X_pow_sub_C_irreducible_iff_forall_prime_of_odd", "X_pow_sub_C_irreducible_iff_of_odd", "X_pow_sub_C_irreducible_iff_of_prime", "X_pow_sub_C_irreducible_of_odd", "X_pow_sub_C_irreducible_of_prime", "X_pow_sub_C_irreducible_of_prime_pow", "X_pow_sub_C_splits_of_isPrimitiveRoot", "YoungDiagram.cells_bot", "YoungDiagram.cells_ssubset_iff", "YoungDiagram.cells_sup", "YoungDiagram.coe_bot", "YoungDiagram.coe_inf", "YoungDiagram.coe_sup", "YoungDiagram.col_eq_prod", "YoungDiagram.exists_not_mem_row", "YoungDiagram.get_rowLens", "YoungDiagram.length_rowLens", "YoungDiagram.mem_cells", "YoungDiagram.mem_cellsOfRowLens", "YoungDiagram.mem_col_iff", "YoungDiagram.mem_iff_lt_rowLen", "YoungDiagram.mem_inf", "YoungDiagram.mem_ofRowLens", "YoungDiagram.mem_sup", "YoungDiagram.mem_transpose", "YoungDiagram.mk_mem_col_iff", "YoungDiagram.mk_mem_row_iff", "YoungDiagram.not_mem_bot", "YoungDiagram.ofRowLens_to_rowLens_eq_self", "YoungDiagram.pos_of_mem_rowLens", "YoungDiagram.rowLen_anti", "YoungDiagram.rowLen_ofRowLens", "YoungDiagram.rowLens_length_ofRowLens", "YoungDiagram.rowLens_ofRowLens_eq_self", "YoungDiagram.rowLens_sorted", "YoungDiagram.row_eq_prod", "YoungDiagram.transpose_eq_iff", "YoungDiagram.transpose_le_iff", "YoungDiagram.transpose_mono", "YoungDiagram.transpose_transpose", "YoungDiagram.up_left_mem", "ZFSet.Hereditarily.empty", "ZFSet.IsTransitive.powerset", "ZFSet.IsTransitive.sUnion", "ZFSet.IsTransitive.sUnion'", "ZFSet.IsTransitive.subset_of_mem", "ZFSet.IsTransitive.union", "ZFSet.choice_mem", "ZFSet.choice_mem_aux", "ZFSet.empty_isTransitive", "ZFSet.empty_subset", "ZFSet.eq_empty", "ZFSet.eq_empty_or_nonempty", "ZFSet.eval_mk", "ZFSet.exact", "ZFSet.ext", "ZFSet.hereditarily_iff", "ZFSet.image.mk", "ZFSet.inductionOn", "ZFSet.insert_nonempty", "ZFSet.isTransitive_iff_mem_trans", "ZFSet.isTransitive_iff_sUnion_subset", "ZFSet.isTransitive_iff_subset_powerset", "ZFSet.map_fval", "ZFSet.mem_diff", "ZFSet.mem_image", "ZFSet.mem_insert", "ZFSet.mem_insert_iff", "ZFSet.mem_insert_of_mem", "ZFSet.mem_inter", "ZFSet.mem_map", "ZFSet.mem_of_mem_sInter", "ZFSet.mem_pair", "ZFSet.mem_pairSep", "ZFSet.mem_prod", "ZFSet.mem_range", "ZFSet.mem_sInter", "ZFSet.mem_sUnion", "ZFSet.mem_sUnion_of_mem", "ZFSet.mem_sep", "ZFSet.mem_singleton", "ZFSet.mem_toSet", "ZFSet.mem_wf", "ZFSet.mk_eq", "ZFSet.mk_mem_iff", "ZFSet.mk_out", "ZFSet.nonempty_def", "ZFSet.not_nonempty_empty", "ZFSet.omega_succ", "ZFSet.omega_zero", "ZFSet.pair_injective", "ZFSet.pair_mem_prod", "ZFSet.regularity", "ZFSet.sInter_empty", "ZFSet.sInter_singleton", "ZFSet.sUnion_empty", "ZFSet.sUnion_lem", "ZFSet.sUnion_pair", "ZFSet.sUnion_singleton", "ZFSet.singleton_injective", "ZFSet.sound", "ZFSet.subset_iff", "ZFSet.toSet_empty", "ZFSet.toSet_equiv_aux", "ZFSet.toSet_image", "ZFSet.toSet_inj", "ZFSet.toSet_inter", "ZFSet.toSet_pair", "ZFSet.toSet_sInter", "ZFSet.toSet_sep", "ZFSet.toSet_singleton", "ZFSet.toSet_subset_iff", "ZFSet.toSet_union", "ZMod.Ico_map_valMinAbs_natAbs_eq_Ico_map_id", "ZMod.IsUnit_cast_of_dvd", "ZMod.addOrderOf_coe", "ZMod.addOrderOf_coe'", "ZMod.addOrderOf_one", "ZMod.add_self_eq_zero_iff_eq_zero", "ZMod.card", "ZMod.card_units", "ZMod.card_units_eq_totient", "ZMod.castHom_apply", "ZMod.castHom_bijective", "ZMod.castHom_comp", "ZMod.castHom_injective", "ZMod.castHom_self", "ZMod.cast_add", "ZMod.cast_add_eq_ite", "ZMod.cast_cast_zmod_of_le", "ZMod.cast_descFactorial", "ZMod.cast_eq_val", "ZMod.cast_id", "ZMod.cast_id'", "ZMod.cast_injective_of_le", "ZMod.cast_intCast", "ZMod.cast_intCast'", "ZMod.cast_mul", "ZMod.cast_mul'", "ZMod.cast_natCast'", "ZMod.cast_neg_one", "ZMod.cast_one", "ZMod.cast_one'", "ZMod.cast_pow'", "ZMod.cast_sub", "ZMod.cast_sub'", "ZMod.cast_sub_one", "ZMod.cast_zero", "ZMod.cast_zmod_eq_zero_iff_of_le", "ZMod.charpoly_pow_card", "ZMod.coe_intCast", "ZMod.coe_mul_inv_eq_one", "ZMod.coe_valMinAbs", "ZMod.div_eq_filter_card", "ZMod.eisenstein_lemma", "ZMod.eisenstein_lemma_aux", "ZMod.eisenstein_lemma_aux\u2081", "ZMod.eq_iff_modEq_nat", "ZMod.eq_one_iff_odd", "ZMod.eq_one_of_isUnit_natCast", "ZMod.eq_unit_mul_divisor", "ZMod.eq_zero_iff_gcd_ne_one", "ZMod.eq_zero_of_gcd_ne_one", "ZMod.euler_criterion", "ZMod.euler_criterion_units", "ZMod.exists_sq_eq_neg_one_iff", "ZMod.exists_sq_eq_neg_two_iff", "ZMod.exists_sq_eq_prime_iff_of_mod_four_eq_one", "ZMod.exists_sq_eq_prime_iff_of_mod_four_eq_three", "ZMod.exists_sq_eq_two_iff", "ZMod.expand_card", "ZMod.exponent", "ZMod.frobenius_zmod", "ZMod.gauss_lemma", "ZMod.gauss_lemma_aux", "ZMod.gauss_lemma_aux\u2081", "ZMod.injective_valMinAbs", "ZMod.intCast_comp_cast", "ZMod.intCast_eq_iff", "ZMod.intCast_eq_intCast_iff", "ZMod.intCast_eq_intCast_iff'", "ZMod.intCast_eq_intCast_iff_dvd_sub", "ZMod.intCast_mod", "ZMod.intCast_rightInverse", "ZMod.intCast_zmod_cast", "ZMod.intCast_zmod_eq_zero_iff_dvd", "ZMod.inv_coe_unit", "ZMod.inv_eq_of_mul_eq_one", "ZMod.inv_mul_of_unit", "ZMod.inv_zero", "ZMod.isQuadratic_\u03c7\u2088", "ZMod.isSquare_neg_one_iff", "ZMod.isSquare_neg_one_iff'", "ZMod.isSquare_neg_one_mul", "ZMod.isSquare_neg_one_of_dvd", "ZMod.isSquare_neg_one_of_eq_sq_add_sq_of_coprime", "ZMod.isSquare_neg_one_of_eq_sq_add_sq_of_isCoprime", "ZMod.isUnit_iff_coprime", "ZMod.isUnit_prime_iff_not_dvd", "ZMod.isUnit_prime_of_not_dvd", "ZMod.ker_intCastAddHom", "ZMod.ker_intCastRingHom", "ZMod.lift_coe", "ZMod.lift_comp_castAddHom", "ZMod.lift_comp_coe", "ZMod.map_smul", "ZMod.minOrder", "ZMod.minOrder_of_prime", "ZMod.min_le_card_add", "ZMod.mod_four_ne_three_of_sq_eq_neg_one", "ZMod.mod_four_ne_three_of_sq_eq_neg_sq", "ZMod.mod_four_ne_three_of_sq_eq_neg_sq'", "ZMod.mul_inv_cancel_aux", "ZMod.mul_inv_eq_gcd", "ZMod.mul_inv_of_unit", "ZMod.natAbs_min_of_le_div_two", "ZMod.natAbs_mod_two", "ZMod.natAbs_valMinAbs_add_le", "ZMod.natAbs_valMinAbs_le", "ZMod.natAbs_valMinAbs_neg", "ZMod.natCast_comp_val", "ZMod.natCast_eq_iff", "ZMod.natCast_eq_natCast_iff", "ZMod.natCast_eq_natCast_iff'", "ZMod.natCast_mod", "ZMod.natCast_natAbs_valMinAbs", "ZMod.natCast_self'", "ZMod.natCast_toNat", "ZMod.natCast_val", "ZMod.natCast_zmod_eq_zero_iff_dvd", "ZMod.natCast_zmod_val", "ZMod.ne_neg_self", "ZMod.ne_zero_iff_odd", "ZMod.ne_zero_of_gcd_eq_one", "ZMod.neg_eq_self_iff", "ZMod.neg_eq_self_mod_two", "ZMod.neg_one_ne_one", "ZMod.neg_one_pow_div_two_of_one_mod_four", "ZMod.neg_one_pow_div_two_of_three_mod_four", "ZMod.neg_val", "ZMod.neg_val'", "ZMod.nonsquare_iff_jacobiSym_eq_neg_one", "ZMod.nonsquare_of_jacobiSym_eq_neg_one", "ZMod.nontrivial_iff", "ZMod.not_isUnit_of_mem_primeFactors", "ZMod.pow_card", "ZMod.pow_card_pow", "ZMod.pow_card_sub_one", "ZMod.pow_card_sub_one_eq_one", "ZMod.pow_div_two_eq_neg_one_or_one", "ZMod.pow_totient", "ZMod.prime_ne_zero", "ZMod.prod_Ico_one_prime", "ZMod.ringChar_zmod_n", "ZMod.ringEquivCongr_intCast", "ZMod.ringEquivCongr_refl", "ZMod.ringEquivCongr_refl_apply", "ZMod.ringEquivCongr_trans", "ZMod.ringEquivCongr_val", "ZMod.ringEquivOfPrime_eq_ringEquiv", "ZMod.ringHom_eq_of_ker_eq", "ZMod.ringHom_map_cast", "ZMod.ringHom_rightInverse", "ZMod.smul_mem", "ZMod.sq_add_sq", "ZMod.subsingleton_iff", "ZMod.sum_Ico_eq_card_lt", "ZMod.sum_mul_div_add_sum_mul_div_eq_mul", "ZMod.trace_pow_card", "ZMod.unitsMap_comp", "ZMod.unitsMap_def", "ZMod.unitsMap_self", "ZMod.unitsMap_surjective", "ZMod.valMinAbs_def_pos", "ZMod.valMinAbs_def_zero", "ZMod.valMinAbs_mem_Ioc", "ZMod.valMinAbs_mul_two_eq_iff", "ZMod.valMinAbs_natAbs_eq_min", "ZMod.valMinAbs_natCast_eq_self", "ZMod.valMinAbs_natCast_of_half_lt", "ZMod.valMinAbs_natCast_of_le_half", "ZMod.valMinAbs_neg_of_ne_half", "ZMod.valMinAbs_nonneg_iff", "ZMod.valMinAbs_spec", "ZMod.valMinAbs_zero", "ZMod.val_add", "ZMod.val_add_le", "ZMod.val_add_of_le", "ZMod.val_add_of_lt", "ZMod.val_add_val_of_le", "ZMod.val_cast_of_lt", "ZMod.val_coe_unit_coprime", "ZMod.val_eq_ite_valMinAbs", "ZMod.val_eq_zero", "ZMod.val_injective", "ZMod.val_intCast", "ZMod.val_le", "ZMod.val_lt", "ZMod.val_mul", "ZMod.val_mul_of_lt", "ZMod.val_natCast", "ZMod.val_natCast_of_lt", "ZMod.val_neg'", "ZMod.val_neg_one", "ZMod.val_one", "ZMod.val_one'", "ZMod.val_one_eq_one_mod", "ZMod.val_sub", "ZMod.val_unit'", "ZMod.val_zero", "ZMod.wilsons_lemma", "ZMod.\u03c7\u2084_eq_neg_one_pow", "ZMod.\u03c7\u2084_int_eq_if_mod_four", "ZMod.\u03c7\u2084_int_mod_four", "ZMod.\u03c7\u2084_int_one_mod_four", "ZMod.\u03c7\u2084_nat_mod_four", "ZMod.\u03c7\u2088'_int_eq_if_mod_eight", "ZMod.\u03c7\u2088_int_eq_if_mod_eight", "ZMod.\u03c7\u2088_int_mod_eight", "ZMod.\u03c7\u2088_nat_eq_if_mod_eight", "ZMod.\u03c7\u2088_nat_mod_eight", "ZNum.abs_to_nat", "ZNum.add_le_add_left", "ZNum.add_one", "ZNum.add_zero", "ZNum.bit0_of_bit0", "ZNum.cast_add", "ZNum.cast_bit0", "ZNum.cast_bit1", "ZNum.cast_bitm1", "ZNum.cast_inj", "ZNum.cast_le", "ZNum.cast_lt", "ZNum.cast_mul", "ZNum.cast_neg", "ZNum.cast_one", "ZNum.cast_pos", "ZNum.cast_succ", "ZNum.cast_to_int", "ZNum.cast_zero", "ZNum.cast_zneg", "ZNum.cmp_to_int", "ZNum.div_to_int", "ZNum.dvd_iff_mod_eq_zero", "ZNum.gcd_to_nat", "ZNum.le_to_int", "ZNum.mod_to_int", "ZNum.mul_comm", "ZNum.mul_to_int", "ZNum.neg_of_int", "ZNum.neg_zero", "ZNum.ofInt'_eq", "ZNum.ofInt'_neg", "ZNum.of_intCast", "ZNum.of_natCast", "ZNum.of_nat_toZNumNeg", "ZNum.of_to_int", "ZNum.of_to_int'", "ZNum.to_int_inj", "ZNum.to_of_int", "ZNum.zero_add", "ZNum.zneg_bit1", "ZNum.zneg_bitm1", "ZNum.zneg_neg", "ZNum.zneg_pos", "ZNum.zneg_succ", "ZeroAtInftyContinuousMap.bounded", "ZeroAtInftyContinuousMap.coe_comp_to_continuous_fun", "ZeroAtInftyContinuousMap.coe_copy", "ZeroAtInftyContinuousMap.coe_mul", "ZeroAtInftyContinuousMap.coe_neg", "ZeroAtInftyContinuousMap.coe_smul", "ZeroAtInftyContinuousMap.coe_sub", "ZeroAtInftyContinuousMap.coe_toContinuousMap", "ZeroAtInftyContinuousMap.coe_zero", "ZeroAtInftyContinuousMap.comp_assoc", "ZeroAtInftyContinuousMap.copy_eq", "ZeroAtInftyContinuousMap.isBounded_range", "ZeroAtInftyContinuousMap.isClosed_range_toBCF", "ZeroAtInftyContinuousMap.isometry_toBCF", "ZeroAtInftyContinuousMap.star_apply", "ZeroAtInftyContinuousMap.tendsto_iff_tendstoUniformly", "ZeroAtInftyContinuousMap.toBCF_injective", "ZeroAtInftyContinuousMap.uniformContinuous", "ZeroAtInftyContinuousMap.zeroAtInftyContinuousMapClass.ofCompact", "ZeroAtInftyContinuousMap.zero_comp", "ZeroAtInftyContinuousMapClass.norm_le", "ZetaAsymptotics.continuousOn_term", "ZetaAsymptotics.continuousOn_term_tsum", "ZetaAsymptotics.tendsto_Gamma_term_aux", "ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_Gamma\u211d", "ZetaAsymptotics.tendsto_riemannZeta_sub_one_div_nhds_right", "ZetaAsymptotics.term_nonneg", "ZetaAsymptotics.term_of_lt", "ZetaAsymptotics.term_one", "ZetaAsymptotics.term_sum_of_lt", "ZetaAsymptotics.term_sum_one", "ZetaAsymptotics.term_tsum_of_lt", "ZetaAsymptotics.term_tsum_one", "ZetaAsymptotics.term_welldef", "Zlattice.FG", "Zlattice.covolume_eq_det", "Zlattice.covolume_eq_det_mul_measure", "Zlattice.covolume_ne_zero", "Zlattice.covolume_pos", "Zlattice.isAddFundamentalDomain", "Zlattice.module_finite", "Zlattice.module_free", "Zlattice.rank", "Zspan.ceil_eq_self_of_mem", "Zspan.coe_floor_self", "Zspan.coe_fract_self", "Zspan.discreteTopology_pi_basisFun", "Zspan.exist_unique_vadd_mem_fundamentalDomain", "Zspan.floor_eq_self_of_mem", "Zspan.fractRestrict_surjective", "Zspan.fract_add_zspan", "Zspan.fract_eq_fract", "Zspan.fract_eq_self", "Zspan.fract_fract", "Zspan.fract_mem_fundamentalDomain", "Zspan.fract_zspan_add", "Zspan.fundamentalDomain_ae_parallelepiped", "Zspan.fundamentalDomain_isBounded", "Zspan.fundamentalDomain_measurableSet", "Zspan.fundamentalDomain_reindex", "Zspan.fundamentalDomain_subset_parallelepiped", "Zspan.isAddFundamentalDomain", "Zspan.map_fundamentalDomain", "Zspan.measure_fundamentalDomain", "Zspan.measure_fundamentalDomain_ne_zero", "Zspan.mem_fundamentalDomain", "Zspan.norm_fract_le", "Zspan.quotientEquiv.symm_apply", "Zspan.quotientEquiv_apply_mk", "Zspan.repr_ceil_apply", "Zspan.repr_floor_apply", "Zspan.repr_fract_apply", "Zspan.span_top", "Zspan.vadd_mem_fundamentalDomain", "Zspan.volume_fundamentalDomain", "Zsqrtd.Nonneg.add", "Zsqrtd.Nonsquare.ns", "Zsqrtd.add_def", "Zsqrtd.add_le_add_left", "Zsqrtd.add_lt_add_left", "Zsqrtd.add_re", "Zsqrtd.coprime_of_dvd_coprime", "Zsqrtd.decompose", "Zsqrtd.divides_sq_eq_zero", "Zsqrtd.divides_sq_eq_zero_z", "Zsqrtd.eq_of_smul_eq_smul_left", "Zsqrtd.eq_zero_or_eq_zero_of_mul_eq_zero", "Zsqrtd.exists_coprime_of_gcd_pos", "Zsqrtd.hom_ext", "Zsqrtd.intCast_dvd", "Zsqrtd.intCast_re", "Zsqrtd.intCast_val", "Zsqrtd.isUnit_iff_norm_isUnit", "Zsqrtd.le_antisymm", "Zsqrtd.le_arch", "Zsqrtd.le_of_le_le", "Zsqrtd.le_total", "Zsqrtd.lift_injective", "Zsqrtd.mker_norm_eq_unitary", "Zsqrtd.mul_im", "Zsqrtd.mul_nonneg", "Zsqrtd.mul_re", "Zsqrtd.mul_star", "Zsqrtd.muld_val", "Zsqrtd.natCast_im", "Zsqrtd.natCast_re", "Zsqrtd.natCast_val", "Zsqrtd.neg_re", "Zsqrtd.nonneg_add_lem", "Zsqrtd.nonneg_antisymm", "Zsqrtd.nonneg_mul", "Zsqrtd.nonneg_mul_lem", "Zsqrtd.nonneg_muld", "Zsqrtd.nonneg_smul", "Zsqrtd.nonnegg_comm", "Zsqrtd.nonnegg_neg_pos", "Zsqrtd.nonnegg_pos_neg", "Zsqrtd.norm_conj", "Zsqrtd.norm_def", "Zsqrtd.norm_eq_mul_conj", "Zsqrtd.norm_eq_of_associated", "Zsqrtd.norm_eq_one_iff", "Zsqrtd.norm_eq_one_iff'", "Zsqrtd.norm_eq_one_iff_mem_unitary", "Zsqrtd.norm_eq_zero", "Zsqrtd.norm_eq_zero_iff", "Zsqrtd.norm_mul", "Zsqrtd.norm_natCast", "Zsqrtd.norm_neg", "Zsqrtd.norm_nonneg", "Zsqrtd.norm_zero", "Zsqrtd.not_divides_sq", "Zsqrtd.not_sqLe_succ", "Zsqrtd.ofInt_eq_intCast", "Zsqrtd.ofInt_im", "Zsqrtd.ofInt_re", "Zsqrtd.ofNat_re", "Zsqrtd.one_im", "Zsqrtd.one_re", "Zsqrtd.smul_val", "Zsqrtd.smuld_val", "Zsqrtd.sqLe_add", "Zsqrtd.sqLe_add_mixed", "Zsqrtd.sqLe_cancel", "Zsqrtd.sqLe_mul", "Zsqrtd.sqLe_of_le", "Zsqrtd.sqLe_smul", "Zsqrtd.sqrtd_re", "Zsqrtd.sub_im", "Zsqrtd.zero_im", "Zsqrtd.zero_re", "a_is_soln", "a_soln_is_unique", "abelianizationCongr_refl", "abelianizationCongr_trans", "abs_abs_sub_abs_le_abs_sub", "abs_add'", "abs_cases", "abs_circleMap_zero", "abs_coe_circle", "abs_dist", "abs_dist_sub_le", "abs_dist_sub_le_dist_mul_mul", "abs_div", "abs_dvd", "abs_dvd_abs", "abs_eq", "abs_eq_iff_mul_self_eq", "abs_eq_neg_self", "abs_eq_self", "abs_le", "abs_le_iff_mul_self_le", "abs_le_max_abs_abs", "abs_le_of_sq_le_sq", "abs_le_of_sq_le_sq'", "abs_le_one_iff_mul_self_le_one", "abs_lt_iff_mul_self_lt", "abs_lt_norm_sub_of_not_sameRay", "abs_lt_of_sq_lt_sq", "abs_lt_of_sq_lt_sq'", "abs_max_le_max_abs_abs", "abs_max_sub_max_le_abs", "abs_max_sub_max_le_max", "abs_min_le_max_abs_abs", "abs_min_sub_min_le_max", "abs_mul", "abs_mul_abs_self", "abs_mul_self", "abs_mul_sign", "abs_neg_one_pow", "abs_norm'", "abs_norm_sub_norm_le'", "abs_one", "abs_one_div", "abs_pow", "abs_pow_eq_one", "abs_real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul", "abs_real_inner_div_norm_mul_norm_le_one", "abs_sq", "abs_sub", "abs_sub_abs_le_abs_sub", "abs_sub_le", "abs_sub_le_iff", "abs_sub_le_of_nonneg_of_le", "abs_sub_lt_iff", "abs_sub_lt_of_nonneg_of_lt", "abs_sub_map_le_div", "abs_sub_nonpos", "abs_sub_pos", "abs_sub_round", "abs_sub_round_div_natCast_eq", "abs_sub_round_eq_min", "abs_sub_sq", "abs_two", "absorbent_ball", "absorbent_ball_zero", "absorbent_iff_eventually_nhdsWithin_zero", "absorbent_iff_forall_absorbs_singleton", "absorbent_iff_inv_smul", "absorbent_nhds_zero", "absorbs_biUnion_finset", "absorbs_iInter", "absorbs_iUnion", "absorbs_iff_eventually_cobounded_mapsTo", "absorbs_iff_eventually_nhdsWithin_zero", "absorbs_iff_eventually_nhds_zero", "absorbs_iff_norm", "absorbs_inter", "absorbs_neg_neg", "absorbs_union", "absorbs_zero_iff", "accPt_iff_frequently", "accPt_iff_nhds", "acc_iff_cluster", "acc_liftOn\u2082'_iff", "acc_lift\u2082_iff", "acc_principal_iff_cluster", "acc_transGen_iff", "achart_def", "achart_val", "ack_ack_lt_ack_max_add_two", "ack_add_one_sq_lt_ack_add_four", "ack_add_one_sq_lt_ack_add_three", "ack_inj_left", "ack_injective_left", "ack_injective_right", "ack_lt_iff_right", "ack_mono_left", "ack_mono_right", "ack_pair_lt", "ack_pos", "ack_strictMono_left", "ack_strictMono_right", "ack_strict_mono_left'", "ack_succ_right_le_ack_succ_left", "ack_succ_succ", "ack_succ_zero", "ack_three", "ack_two", "ack_zero", "act_rel_act_of_rel", "act_rel_of_act_rel_of_rel_act_rel", "act_rel_of_rel_of_act_rel", "addRothNumber_Ico", "add_add_one_le_ack", "add_bounded_of_bounded_of_bounded", "add_div", "add_div'", "add_div_eq_mul_add_div", "add_div_two_lt_right", "add_eq_left_iff_le", "add_eq_sup", "add_halves", "add_halves'", "add_idem", "add_le", "add_le_add_add_tsub", "add_le_mul", "add_le_mul'", "add_le_mul_of_right_le_left", "add_le_mul_two_add", "add_le_of_le_tsub_left_of_le", "add_le_of_le_tsub_right_of_le", "add_lie", "add_lt_ack", "add_mul_self_eq", "add_one_mul", "add_one_pow_unbounded_of_pos", "add_pow", "add_pow_char", "add_pow_char_pow_of_commute", "add_pow_expChar", "add_pow_expChar_of_commute", "add_pow_expChar_pow", "add_pow_expChar_pow_of_commute", "add_pow_le", "add_pow_prime_pow_eq", "add_self", "add_self_div_two", "add_self_eq_zero", "add_smul", "add_sq", "add_sq'", "add_sq_le", "add_sub_div_two_lt", "add_thirds", "add_top", "add_tsub_add_eq_tsub_left", "add_tsub_add_eq_tsub_right", "add_tsub_add_le_tsub_add_tsub", "add_tsub_add_le_tsub_left", "add_tsub_add_le_tsub_right", "add_tsub_assoc_of_le", "add_tsub_cancel_iff_le", "add_tsub_cancel_left", "add_tsub_cancel_of_le", "add_tsub_cancel_right", "add_tsub_eq_max", "add_tsub_le_assoc", "add_tsub_le_left", "add_tsub_le_right", "add_tsub_le_tsub_add", "add_tsub_tsub_cancel", "adjoinRootXPowSubCEquiv_root", "adjoinRootXPowSubCEquiv_symm_eq_root", "adjoin_le_integralClosure", "adjoin_monomial_eq_reesAlgebra", "aeSeq.aeSeqSet_measurableSet", "aeSeq.aeSeq_eq_fun_ae", "aeSeq.aeSeq_eq_fun_of_mem_aeSeqSet", "aeSeq.aeSeq_eq_mk_ae", "aeSeq.aeSeq_eq_mk_of_mem_aeSeqSet", "aeSeq.aeSeq_n_eq_fun_n_ae", "aeSeq.fun_prop_of_mem_aeSeqSet", "aeSeq.iSup", "aeSeq.measurable", "aeSeq.measure_compl_aeSeqSet_eq_zero", "aeSeq.mk_eq_fun_of_mem_aeSeqSet", "aeSeq.prop_of_mem_aeSeqSet", "ae_eq_const_or_exists_average_ne_compl", "ae_eq_const_or_norm_average_lt_of_norm_le_const", "ae_eq_const_or_norm_integral_lt_of_norm_le_const", "ae_eq_const_or_norm_setIntegral_lt_of_norm_le_const", "ae_eq_of_integral_smooth_smul_eq", "ae_eq_restrict_iff_indicator_ae_eq", "ae_eq_trim_of_measurable", "ae_eq_zero_of_integral_smooth_smul_eq_zero", "ae_essInf_le", "ae_le_essSup", "ae_lt_of_essSup_lt", "ae_lt_of_lt_essInf", "ae_not_liouville", "ae_not_liouvilleWith", "ae_of_mem_of_ae_of_mem_inter_Ioo", "ae_restrict_iff_subtype", "ae_restrict_of_ae_restrict_inter_Ioo", "aemeasurable_Ioi_of_forall_Ioc", "aemeasurable_add_measure_iff", "aemeasurable_biInf", "aemeasurable_biSup", "aemeasurable_coe_nnreal_ennreal_iff", "aemeasurable_congr", "aemeasurable_const", "aemeasurable_const'", "aemeasurable_const_smul_iff", "aemeasurable_deriv", "aemeasurable_deriv_with_param", "aemeasurable_iInf", "aemeasurable_iSup", "aemeasurable_iUnion_iff", "aemeasurable_id", "aemeasurable_id'", "aemeasurable_id''", "aemeasurable_iff_measurable", "aemeasurable_indicator_const_iff", "aemeasurable_indicator_iff", "aemeasurable_indicator_iff\u2080", "aemeasurable_inv_iff", "aemeasurable_inv_iff\u2080", "aemeasurable_lineDeriv", "aemeasurable_lineDeriv_uncurry", "aemeasurable_map_equiv_iff", "aemeasurable_of_aemeasurable_trim", "aemeasurable_of_re_im", "aemeasurable_of_tendsto_metrizable_ae", "aemeasurable_of_tendsto_metrizable_ae'", "aemeasurable_of_unif_approx", "aemeasurable_one", "aemeasurable_restrict_iff_comap_subtype", "aemeasurable_restrict_of_monotoneOn", "aemeasurable_smul_const", "aemeasurable_union_iff", "aemeasurable_withDensity_iff", "aemeasurable_zero_measure", "aestronglyMeasurable_add_measure_iff", "aestronglyMeasurable_const_smul_iff", "aestronglyMeasurable_const_smul_iff\u2080", "aestronglyMeasurable_deriv", "aestronglyMeasurable_derivWithin_Ici", "aestronglyMeasurable_iUnion_iff", "aestronglyMeasurable_iff_aemeasurable", "aestronglyMeasurable_iff_aemeasurable_separable", "aestronglyMeasurable_iff_nullMeasurable_separable", "aestronglyMeasurable_indicator_iff", "aestronglyMeasurable_lineDeriv", "aestronglyMeasurable_lineDeriv_uncurry", "aestronglyMeasurable_of_tendsto_ae", "aestronglyMeasurable_smul_const_iff", "aestronglyMeasurable_sum_measure_iff", "aestronglyMeasurable_union_iff", "aestronglyMeasurable_withDensity_iff", "aeval_derivative_mem_differentIdeal", "aeval_wittPolynomial", "affineCombination_eq_centerMass", "affineCombination_mem_affineSpan", "affineCombination_mem_affineSpan_pair", "affineCombination_mem_convexHull", "affineIndependent_def", "affineIndependent_equiv", "affineIndependent_iff_eq_of_fintype_affineCombination_eq", "affineIndependent_iff_finrank_vectorSpan_eq", "affineIndependent_iff_indicator_eq_of_affineCombination_eq", "affineIndependent_iff_le_finrank_vectorSpan", "affineIndependent_iff_linearIndependent_vsub", "affineIndependent_iff_not_collinear", "affineIndependent_iff_not_collinear_of_ne", "affineIndependent_iff_not_collinear_set", "affineIndependent_iff_not_finrank_vectorSpan_le", "affineIndependent_iff_of_fintype", "affineIndependent_of_ne", "affineIndependent_of_ne_of_mem_of_mem_of_not_mem", "affineIndependent_of_ne_of_mem_of_not_mem_of_mem", "affineIndependent_of_ne_of_not_mem_of_mem_of_mem", "affineIndependent_set_iff_linearIndependent_vsub", "affineSegment_comm", "affineSegment_const_vsub_image", "affineSegment_eq_segment", "affineSegment_image", "affineSegment_same", "affineSegment_vadd_const_image", "affineSegment_vsub_const_image", "affineSpan_coe_preimage_eq_top", "affineSpan_convexHull", "affineSpan_eq_affineSpan_lineMap_units", "affineSpan_eq_bot", "affineSpan_eq_top_of_nonempty_interior", "affineSpan_induction", "affineSpan_induction'", "affineSpan_insert_affineSpan", "affineSpan_insert_eq_affineSpan", "affineSpan_le", "affineSpan_le_toAffineSubspace_span", "affineSpan_mono", "affineSpan_nonempty", "affineSpan_pair_le_of_left_mem", "affineSpan_pair_le_of_mem_of_mem", "affineSpan_pair_le_of_right_mem", "affineSpan_singleton_union_vadd_eq_top_of_span_eq_top", "affinity_unitBall", "affinity_unitClosedBall", "aleph0_le_rank_of_isEmpty_oreSet", "alexandrovDiscrete_coinduced", "alexandrovDiscrete_iSup", "algebraMap.coe_add", "algebraMap.coe_inj", "algebraMap.coe_inv", "algebraMap.coe_mul", "algebraMap.coe_neg", "algebraMap.coe_one", "algebraMap.coe_pow", "algebraMap.coe_ratCast", "algebraMap.coe_zero", "algebraMap.lift_map_eq_zero_iff", "algebraMapCLM_coe", "algebraMapCLM_toLinearMap", "algebraMap_apply", "algebraMap_injective", "algebraMap_isometry", "algebraMap_le_algebraMap", "algebraMap_le_cfc", "algebraMap_le_of_le_spectrum", "algebraMap_mem\u2113p_infty", "algebraMap_mono", "algebraMap_monotone", "algebraMap_nonneg", "algebraMap_rat_rat", "algebraMap_smul", "algebraMap_star_comm", "algebraMap_strictMono", "algebraRat.charP_zero", "algebraRat.charZero", "algebra_compatible_smul", "algebraicIndependent_adjoin", "algebraicIndependent_bounded_of_finset_algebraicIndependent_bounded", "algebraicIndependent_comp_subtype", "algebraicIndependent_empty", "algebraicIndependent_empty_type", "algebraicIndependent_empty_type_iff", "algebraicIndependent_equiv", "algebraicIndependent_equiv'", "algebraicIndependent_finset_map_embedding_subtype", "algebraicIndependent_iUnion_of_directed", "algebraicIndependent_iff_ker_eq_bot", "algebraicIndependent_of_subsingleton", "algebraicIndependent_sUnion_of_directed", "algebraicIndependent_subtype", "algebraicIndependent_subtype_range", "all_mem_nhds", "all_mem_nhds_filter", "alternatingGroup.isConj_of", "alternatingGroup.isConj_swap_mul_swap_of_cycleType_two", "alternatingGroup.isThreeCycle_isConj", "alternatingGroup.nontrivial_of_three_le_card", "alternatingGroup.normalClosure_finRotate_five", "alternatingGroup.normalClosure_swap_mul_swap_five", "alternatingGroup_eq_sign_ker", "analyticAt_cexp", "analyticAt_congr", "analyticAt_const", "analyticAt_fst", "analyticAt_id", "analyticAt_inv", "analyticAt_inv_one_sub", "analyticAt_mul", "analyticAt_smul", "analyticAt_snd", "analyticOn_cexp", "analyticOn_congr", "analyticOn_const", "analyticOn_inv", "and_and_and_comm", "and_and_right", "and_assoc", "and_comm", "and_congr", "and_congr_left", "and_congr_left_iff", "and_congr_right", "and_congr_right'", "and_congr_right_iff", "and_false", "and_false_iff", "and_forall_ne", "and_iff_left", "and_iff_left_iff_imp", "and_iff_left_of_imp", "and_iff_not_or_not", "and_iff_right", "and_iff_right_iff_imp", "and_imp", "and_left_comm", "and_not_self", "and_not_self_iff", "and_or_imp", "and_or_left", "and_right_comm", "and_rotate", "and_self", "and_self_iff", "and_symm_left", "and_symm_right", "and_true", "and_true_iff", "antideriv_bernoulliFun", "antilipschitzWith_iff_le_mul_dist", "antilipschitzWith_iff_le_mul_nndist", "antilipschitzWith_inv_iff", "antilipschitzWith_lineMap", "antilipschitzWith_mul_left", "antilipschitzWith_mul_right", "antisymm", "antisymmRel_iff_eq", "antisymmRel_refl", "antisymm_iff", "antisymm_of", "antisymmetrization_fibration", "antitoneOn_dual_iff", "antitoneOn_iff_forall_lt", "antitoneOn_of_deriv_nonpos", "antitone_Ioi", "antitone_app", "antitone_const_tsub", "antitone_continuousOn", "antitone_dual_iff", "antitone_iff_forall_covBy", "antitone_iff_map_nonpos", "antitone_int_of_succ_le", "antitone_lam", "antitone_lt", "antitone_mul_right", "antitone_nat_of_succ_le", "antitone_of_deriv_nonpos", "antitone_of_hasDerivAt_nonpos", "antitone_vecEmpty", "antivaryOn_const_right", "antivaryOn_id_iff", "antivaryOn_iff_forall_mul_nonpos", "antivaryOn_iff_mul_rearrangement", "antivaryOn_iff_smul_rearrangement", "antivaryOn_inv_left", "antivaryOn_inv_right", "antivaryOn_inv_right\u2080", "antivaryOn_inv\u2080", "antivaryOn_toDual_left", "antivaryOn_toDual_right", "antivaryOn_univ", "antivary_comm", "antivary_const_left", "antivary_id_iff", "antivary_iff_forall_mul_nonpos", "antivary_iff_mul_rearrangement", "antivary_inv_left", "antivary_inv_left\u2080", "antivary_inv_right", "antivary_inv_right\u2080", "antivary_inv\u2080", "antivary_toDual_left", "apply_abs_le_mul_of_one_le", "apply_covBy_apply_iff", "apply_dite", "apply_dite\u2082", "apply_fdifferential", "apply_hfdifferential", "apply_ite", "apply_ite\u2082", "apply_wcovBy_apply_iff", "approxOrderOf.image_pow_subset", "approxOrderOf.image_pow_subset_of_coprime", "approxOrderOf.smul_eq_of_mul_dvd", "approxOrderOf.smul_subset_of_coprime", "approximatesLinearOn_empty", "archimedean_iff_nat_lt", "archimedean_iff_rat_lt", "arg_expMapCircle", "ascPochhammer_eval_cast", "ascPochhammer_eval_comp", "ascPochhammer_eval_neg_eq_descPochhammer", "ascPochhammer_eval_succ", "ascPochhammer_eval_zero", "ascPochhammer_eval\u2082", "ascPochhammer_map", "ascPochhammer_mul", "ascPochhammer_natDegree", "ascPochhammer_nat_eq_ascFactorial", "ascPochhammer_nat_eq_descFactorial", "ascPochhammer_nat_eval_succ", "ascPochhammer_ne_zero_eval_zero", "ascPochhammer_one", "ascPochhammer_pos", "ascPochhammer_succ_comp_X_add_one", "ascPochhammer_succ_eval", "ascPochhammer_succ_left", "ascPochhammer_succ_right", "ascPochhammer_zero", "ascending_central_series_le_upper", "associatedPrimes.eq_empty_of_subsingleton", "associatedPrimes.eq_singleton_of_isPrimary", "associatedPrimes.nonempty", "associatedPrimes.subset_of_injective", "associated_eq_eq", "associated_gcd_left_iff", "associated_gcd_right_iff", "associated_iff_eq", "associated_isUnit_mul_left_iff", "associated_isUnit_mul_right_iff", "associated_mul_isUnit_left_iff", "associated_mul_isUnit_right_iff", "associated_mul_unit_left", "associated_mul_unit_right", "associated_mul_unit_right_iff", "associated_norm_prod_smith", "associated_normalize", "associated_of_dvd_dvd", "associated_one_iff_isUnit", "associated_one_of_associated_mul_one", "associated_unit_mul_left", "associated_unit_mul_right", "associated_unit_mul_right_iff", "associatesNonZeroDivisorsEquiv_mk_mk", "associates_irreducible_iff_prime", "asymm", "asymm_of", "atBot_atTop_le_cocompact", "atBot_le_cocompact", "atBot_le_nhds_bot", "atTop_hasCountableBasis_of_archimedean", "atTop_le_nhds_top", "atom_iff_nonzero_span", "atom_le_iSup", "autAdjoinRootXPowSubCEquiv_root", "autAdjoinRootXPowSubCEquiv_symm_smul", "autAdjoinRootXPowSubC_root", "autEquivRootsOfUnity_apply_rootOfSplit", "autEquivRootsOfUnity_smul", "autEquivZmod_symm_apply_intCast", "autEquivZmod_symm_apply_natCast", "aux", "aux0", "aux1", "aux2", "aux3", "aux_add", "aux_hasSum_of_le_geometric", "aux_sub", "aux\u2080", "aux\u2081", "ax_grothendieck_of_locally_finite", "bUnion_mem_nhdsSet", "balancedCoreAux_balanced", "balancedCoreAux_empty", "balancedCoreAux_maximal", "balancedCoreAux_subset", "balancedCore_balanced", "balancedCore_eq_iInter", "balancedCore_mem_nhds_zero", "balancedCore_nonempty_iff", "balancedCore_subset", "balancedCore_subset_balancedCoreAux", "balancedCore_zero_mem", "balancedHull.balanced", "balanced_ball_zero", "balanced_empty", "balanced_iInter\u2082", "balanced_iUnion", "balanced_iff_closedBall_smul", "balanced_iff_neg_mem", "balanced_iff_smul_mem", "balanced_zero", "ball_add_ball", "ball_add_closedBall", "ball_div", "ball_div_one", "ball_div_singleton", "ball_eq'", "ball_eq_of_symmetry", "ball_inter", "ball_inter_left", "ball_inter_right", "ball_mul", "ball_mul_one", "ball_mul_singleton", "ball_normSeminorm", "ball_one_div_singleton", "ball_one_eq", "ball_one_mul_singleton", "ball_pi'", "ball_prod_same", "ball_sub_ball", "ball_sub_closedBall", "banach_steinhaus", "banach_steinhaus_iSup_nnnorm", "basis_finite_of_finite_spans", "basis_le_span'", "basis_toMatrix_basisFun_mul", "basis_toMatrix_mul", "basis_toMatrix_mul_linearMap_toMatrix", "basis_toMatrix_mul_linearMap_toMatrix_mul_basis_toMatrix", "bddAbove_Icc", "bddAbove_Ico", "bddAbove_Iic", "bddAbove_Iio", "bddAbove_Ioc", "bddAbove_Ioo", "bddAbove_closure", "bddAbove_def", "bddAbove_empty", "bddAbove_iff_exists_ge", "bddAbove_iff_subset_Iic", "bddAbove_insert", "bddAbove_pi", "bddAbove_preimage_ofDual", "bddAbove_preimage_toDual", "bddAbove_prod", "bddAbove_range_partialSups", "bddAbove_range_pi", "bddAbove_range_prod", "bddBelow_Ici", "bddBelow_Ioc", "bddBelow_Ioi", "bddBelow_Ioo", "bddBelow_bddAbove_iff_subset_Icc", "bddBelow_closure", "bddBelow_empty", "bddBelow_iff_subset_Ici", "bddBelow_image_norm", "bddBelow_insert", "bddBelow_inv", "bddBelow_preimage_ofDual", "bddBelow_prod", "bddBelow_range_pi", "bddBelow_smul_iff_of_pos", "bddBelow_union", "bddBelow_upperClosure", "bddDistLat_dual_comp_forget_to_distLat", "bddLat_dual_comp_forget_to_bddOrd", "bddLat_dual_comp_forget_to_semilatInfCat", "bddOrd_dual_comp_forget_to_partOrd", "beattySeq'_symmDiff_beattySeq_pos", "beattySeq_symmDiff_beattySeq'_pos", "beq_eq_decide", "beq_ext", "beq_iff_eq", "beq_self_eq_true", "bernoulli'PowerSeries_mul_exp_sub_one", "bernoulli'_def", "bernoulli'_def'", "bernoulli'_eq_bernoulli", "bernoulli'_four", "bernoulli'_odd_eq_zero", "bernoulli'_one", "bernoulli'_spec", "bernoulli'_spec'", "bernoulli'_three", "bernoulli'_two", "bernoulli'_zero", "bernoulliFourierCoeff_eq", "bernoulliFourierCoeff_recurrence", "bernoulliFourierCoeff_zero", "bernoulliFun_endpoints_eq_of_ne_one", "bernoulliFun_eval_one", "bernoulliFun_eval_zero", "bernoulliPowerSeries_mul_exp_sub_one", "bernoulli_eq_bernoulli'_of_ne_one", "bernoulli_one", "bernoulli_spec'", "bernoulli_zero", "bernoulli_zero_fourier_coeff", "bernstein.probability", "bernstein.variance", "bernsteinApproximation.apply", "bernsteinApproximation.le_of_mem_S_compl", "bernsteinApproximation.lt_of_mem_S", "bernsteinApproximation.\u03b4_pos", "bernsteinApproximation_uniform", "bernsteinPolynomial.derivative_succ", "bernsteinPolynomial.derivative_succ_aux", "bernsteinPolynomial.derivative_zero", "bernsteinPolynomial.eq_zero_of_lt", "bernsteinPolynomial.eval_at_0", "bernsteinPolynomial.eval_at_1", "bernsteinPolynomial.flip", "bernsteinPolynomial.iterate_derivative_at_0", "bernsteinPolynomial.iterate_derivative_at_0_eq_zero_of_lt", "bernsteinPolynomial.iterate_derivative_at_0_ne_zero", "bernsteinPolynomial.iterate_derivative_at_1_eq_zero_of_lt", "bernsteinPolynomial.iterate_derivative_at_1_ne_zero", "bernsteinPolynomial.linearIndependent_aux", "bernsteinPolynomial.map", "bernsteinPolynomial.sum", "bernsteinPolynomial.sum_mul_smul", "bernsteinPolynomial.sum_smul", "bernsteinPolynomial.variance", "bernstein_apply", "bernstein_nonneg", "bertrand_main_inequality", "bex_def", "bex_eq_left", "biInf_congr'", "biInf_finsetSigma", "biInf_inf", "biInf_le", "biInf_mono", "biInf_sigma", "biInf_sup_biInf", "biInter_basis_nhds", "biSup_congr", "biSup_congr'", "biSup_const", "biSup_finsetSigma", "biSup_finsetSigma'", "biSup_inf_biSup", "biSup_mono", "biSup_prod", "biSup_sigma", "biSup_sigma'", "biSup_sup", "biUnion_associatedPrimes_eq_compl_regular", "biUnion_associatedPrimes_eq_zero_divisors", "bihimp_assoc", "bihimp_bihimp_bihimp_comm", "bihimp_bihimp_cancel_left", "bihimp_bihimp_self", "bihimp_def", "bihimp_eq_bot", "bihimp_eq_inf", "bihimp_eq_inf_himp_inf", "bihimp_eq_left", "bihimp_eq_right", "bihimp_fst", "bihimp_himp_eq_inf", "bihimp_himp_left", "bihimp_himp_right", "bihimp_hnot_self", "bihimp_iff_iff", "bihimp_inf_sup", "bihimp_left_comm", "bihimp_left_injective", "bihimp_left_involutive", "bihimp_left_surjective", "bihimp_of_ge", "bihimp_of_le", "bihimp_right_comm", "bihimp_right_injective", "bihimp_right_involutive", "bihimp_right_surjective", "bihimp_self", "bihimp_snd", "bihimp_top", "bihimp_triangle", "bijective_algebraMap_of_linearEquiv", "bijective_frobenius", "bijective_iterateFrobenius", "bilinFormOfRealInner_orthogonal", "binary_relation_sInf_iff", "binary_relation_sSup_iff", "bind\u2081_rename_expand_wittPolynomial", "bind\u2081_wittPolynomial_xInTermsOfW", "bind\u2081_xInTermsOfW_wittPolynomial", "binomial_sum_eq", "birkhoffAverage_apply_sub_birkhoffAverage", "birkhoffAverage_congr_ring", "birkhoffAverage_congr_ring'", "birkhoffAverage_one", "birkhoffAverage_one'", "birkhoffAverage_zero", "birkhoffAverage_zero'", "birkhoffSum_add", "birkhoffSum_apply_sub_birkhoffSum", "birkhoffSum_one", "birkhoffSum_one'", "birkhoffSum_succ", "bit0_eq_bit0", "bit0_eq_two_mul", "bit0_eq_zero", "bit0_injective", "bit0_mul", "bit0_ne_zero", "bit0_neg", "bit0_zero", "bit1_add'", "bit1_eq_one", "bit1_injective", "bit1_mul", "bit1_zero", "blimsup_cthickening_ae_eq_blimsup_thickening", "blimsup_cthickening_ae_le_of_eventually_mul_le", "blimsup_cthickening_ae_le_of_eventually_mul_le_aux", "blimsup_cthickening_mul_ae_eq", "blimsup_thickening_mul_ae_eq", "blimsup_thickening_mul_ae_eq_aux", "boole_mul", "borel_comap", "borel_eq_generateFrom_Ici", "borel_eq_generateFrom_Ico", "borel_eq_generateFrom_Iic", "borel_eq_generateFrom_Iio", "borel_eq_generateFrom_Ioc", "borel_eq_generateFrom_isClosed", "borel_eq_generateFrom_of_subbasis", "borel_eq_top_of_countable", "borel_eq_top_of_discrete", "bot_covBy_iff", "bot_eq_false", "bot_eq_one", "bot_eq_one'", "bot_inf_eq", "bot_le", "bot_lt_affineSpan", "bot_lt_iff_ne_bot", "bot_mem_lowerBounds", "bot_ne_top", "bot_sdiff", "bot_sup_eq", "bot_symmDiff", "bot_topologicalSpace_eq_generateFrom_of_pred_succOrder", "bot_uniformity", "bot_unique", "bound'", "bound'_sq", "boundariesToCycles'_naturality", "boundedSpace_induced_iff", "boundedSpace_subtype_iff", "boundedSpace_val_set_iff", "boundedSub_of_lipschitzWith_sub", "bounded_stdSimplex", "bsupr_limsup_dimH", "btw_cyclic", "btw_iff_not_sbtw", "btw_refl_left_right", "btw_rfl", "btw_rfl_left", "btw_rfl_left_right", "btw_rfl_right", "by_cases", "by_contradiction", "calc_deriv_dist", "calc_norm_le_one", "cardQuot_mul", "cardQuot_mul_of_coprime", "cardQuot_pow_of_prime", "card_algHom_le_finrank", "card_classGroup_eq_one", "card_classGroup_eq_one_iff", "card_comm_eq_card_conjClasses_mul_card", "card_commutatorSet_closureCommutatorRepresentatives", "card_commutator_closureCommutatorRepresentatives", "card_derangements_eq_numDerangements", "card_derangements_fin_add_two", "card_derangements_fin_eq_numDerangements", "card_derangements_invariant", "card_dvd_exponent_pow_rank", "card_dvd_exponent_pow_rank'", "card_eq_pow_finrank", "card_le_of_injective", "card_le_of_injective'", "card_le_of_surjective", "card_le_of_surjective'", "card_nthRoots_subgroup_units", "card_orderOf_eq_totient_aux\u2081", "card_orderOf_eq_totient_aux\u2082", "card_perms_of_finset", "card_pow_eq_one_eq_orderOf_aux", "card_support_eq_three_iff", "card_sylow_dvd_index", "card_sylow_eq_card_quotient_normalizer", "card_sylow_eq_index_normalizer", "card_sylow_modEq_one", "card_units_lt", "card_vector", "card_zpowers_le", "cardinalInterFilter_aleph_one_iff", "cardinal_eq_of_isOpen", "cardinal_eq_of_mem_nhds", "cardinal_eq_of_mem_nhds_zero", "cardinal_lt_aleph0_of_finiteDimensional", "cardinal_mk_algHom", "cardinal_mk_algHom_le_rank", "cardinal_mk_eq_cardinal_mk_field_pow_rank", "cardinal_sInter_mem", "cast_bijective", "cast_cast", "cast_eq", "cast_eq_iff_heq", "cast_heq", "cast_inj", "catalan_eq_centralBinom_div", "catalan_one", "catalan_succ", "catalan_succ'", "catalan_three", "catalan_two", "cauchyPowerSeries_apply", "cauchySeq_bdd", "cauchySeq_finset_iff_nat_tprod_vanishing", "cauchySeq_finset_iff_prod_vanishing", "cauchySeq_finset_iff_tprod_vanishing", "cauchySeq_finset_iff_vanishing_norm", "cauchySeq_finset_of_geometric_bound", "cauchySeq_finset_of_norm_bounded", "cauchySeq_finset_of_norm_bounded_eventually", "cauchySeq_finset_of_summable_norm", "cauchySeq_iff", "cauchySeq_iff'", "cauchySeq_iff_le_tendsto_0", "cauchySeq_iff_tendsto", "cauchySeq_iff_tendsto_dist_atTop_0", "cauchySeq_of_controlled", "cauchySeq_of_dist_le_of_summable", "cauchySeq_of_edist_le_geometric", "cauchySeq_of_edist_le_geometric_two", "cauchySeq_of_edist_le_of_summable", "cauchySeq_of_edist_le_of_tsum_ne_top", "cauchySeq_of_le_geometric", "cauchySeq_of_le_tendsto_0", "cauchySeq_of_le_tendsto_0'", "cauchySeq_prod_of_eventually_eq", "cauchySeq_range_of_norm_bounded", "cauchySeq_shift", "cauchySeq_tendsto_of_complete", "cauchySeq_tendsto_of_isComplete", "cauchy_comap_uniformSpace", "cauchy_iInf_uniformSpace", "cauchy_iInf_uniformSpace'", "cauchy_iff", "cauchy_iff'", "cauchy_iff_exists_le_nhds", "cauchy_iff_le", "cauchy_inf_uniformSpace", "cauchy_map_iff", "cauchy_map_of_uniformCauchySeqOn_fderiv", "cauchy_nhds", "cauchy_pi_iff", "cauchy_pi_iff'", "cauchy_prod_iff", "cauchy_product", "cauchy_pure", "cbiInf_eq_of_forall", "cbiSup_eq_of_forall", "cbiSup_eq_of_not_forall", "ceilDiv_le_iff_le_smul", "ceilDiv_of_nonpos", "ceilDiv_one", "ceilDiv_zero", "centralBinom_factorization_small", "centralBinom_le_of_no_bertrand_prime", "centroid_mem_affineSpan_of_card_eq_add_one", "centroid_mem_affineSpan_of_cast_card_ne_zero", "centroid_mem_affineSpan_of_nonempty", "cexp_neg_quadratic_isLittleO_abs_rpow_cocompact", "cexp_neg_quadratic_isLittleO_rpow_atTop", "cfcHom_closedEmbedding", "cfcHom_comp", "cfcHom_eq_cfc_extend", "cfcHom_eq_of_continuous_of_map_id", "cfcHom_id", "cfcHom_le_iff", "cfcHom_map_spectrum", "cfcHom_mono", "cfcHom_nnreal_eq_restrict", "cfcHom_nonneg_iff", "cfcHom_predicate", "cfcUnits_pow", "cfcUnits_zpow", "cfc_add", "cfc_apply", "cfc_apply_of_not_and", "cfc_apply_of_not_continuousOn", "cfc_apply_of_not_predicate", "cfc_apply_pi", "cfc_cases", "cfc_comp", "cfc_comp'", "cfc_comp_inv", "cfc_comp_neg", "cfc_comp_polynomial", "cfc_comp_smul", "cfc_comp_zpow", "cfc_congr", "cfc_const", "cfc_const_mul", "cfc_const_mul_id", "cfc_const_one", "cfc_const_zero", "cfc_eq_cfc_iff_eqOn", "cfc_eval_X", "cfc_id", "cfc_inv", "cfc_inv_id", "cfc_le_algebraMap", "cfc_le_iff", "cfc_le_one", "cfc_map_div", "cfc_map_polynomial", "cfc_map_spectrum", "cfc_mono", "cfc_mul", "cfc_neg", "cfc_nnreal_eq_real", "cfc_nonneg", "cfc_nonneg_iff", "cfc_nonpos", "cfc_nonpos_iff", "cfc_polynomial", "cfc_pow", "cfc_predicate", "cfc_real_eq_complex", "cfc_smul", "cfc_smul_id", "cfc_star", "cfc_star_id", "cfc_sub", "cfc_sum", "cfc_sum_univ", "cfc_zero", "cfc_zpow", "cfc\u2099Aux_id", "cfc\u2099Aux_mem_range_inr", "cfc\u2099Hom_closedEmbedding", "cfc\u2099Hom_comp", "cfc\u2099Hom_eq_cfc\u2099_extend", "cfc\u2099Hom_eq_of_continuous_of_map_id", "cfc\u2099Hom_id", "cfc\u2099Hom_le_iff", "cfc\u2099Hom_map_quasispectrum", "cfc\u2099Hom_mono", "cfc\u2099Hom_nonneg_iff", "cfc\u2099_add", "cfc\u2099_apply", "cfc\u2099_apply_of_not_and_and", "cfc\u2099_apply_of_not_continuousOn", "cfc\u2099_apply_of_not_map_zero", "cfc\u2099_apply_of_not_predicate", "cfc\u2099_cases", "cfc\u2099_comp", "cfc\u2099_comp_const_mul", "cfc\u2099_comp_neg", "cfc\u2099_comp_smul", "cfc\u2099_comp_star", "cfc\u2099_congr", "cfc\u2099_const_mul", "cfc\u2099_const_mul_id", "cfc\u2099_const_zero", "cfc\u2099_eq_cfc\u2099_iff_eqOn", "cfc\u2099_id", "cfc\u2099_id'", "cfc\u2099_le_iff", "cfc\u2099_map_quasispectrum", "cfc\u2099_mono", "cfc\u2099_mul", "cfc\u2099_neg", "cfc\u2099_neg_id", "cfc\u2099_nonneg", "cfc\u2099_nonneg_iff", "cfc\u2099_nonpos", "cfc\u2099_nonpos_iff", "cfc\u2099_smul", "cfc\u2099_smul_id", "cfc\u2099_star", "cfc\u2099_star_id", "cfc\u2099_sub", "cfc\u2099_sum", "cfc\u2099_sum_univ", "cfc\u2099_zero", "chainClosure_empty", "chainClosure_maxChain", "chainClosure_succ_total", "chainClosure_succ_total_aux", "charP_of_card_eq_prime", "charP_of_injective_algebraMap'", "charP_of_injective_ringHom", "charP_of_ne_zero", "charP_of_prime_pow_injective", "charP_zero_or_prime_power", "charZero_of_expChar_one'", "charZero_of_inj_zero", "charZero_of_injective_algebraMap", "charZero_of_injective_ringHom", "char_dvd_card_solutions", "char_dvd_card_solutions_of_add_lt", "char_dvd_card_solutions_of_fintype_sum_lt", "char_dvd_card_solutions_of_sum_lt", "char_eq_expChar_iff", "char_prime_of_ne_zero", "char_zero_of_expChar_one", "charpoly_leftMulMatrix", "chartAt_comp", "chartAt_self_eq", "chart_mem_atlas", "chartedSpaceSelf_atlas", "chartedSpaceSelf_prod", "ciInf_const", "ciInf_div", "ciInf_eq_ite", "ciInf_le", "ciInf_le'", "ciInf_le_of_le", "ciInf_le_of_le'", "ciInf_mem", "ciInf_mono", "ciInf_neg", "ciInf_set_le", "ciInf_subsingleton", "ciInf_unique", "ciSup_const", "ciSup_div", "ciSup_eq_of_forall_le_of_forall_lt_exists_gt", "ciSup_false", "ciSup_le", "ciSup_le'", "ciSup_le_iff'", "ciSup_mem_iInter_Icc_of_antitone_Icc", "ciSup_mono", "ciSup_mono'", "ciSup_mul", "ciSup_mul_le", "ciSup_neg", "ciSup_of_empty", "ciSup_partialSups_eq", "ciSup_pos", "ciSup_set_le_iff", "ciSup_subsingleton", "ciSup_unique", "circle.arg_eq_arg", "circle.injective_arg", "circle.toUnits_apply", "circleEquivGen_symm_apply", "circleIntegrable_const", "circleIntegrable_iff", "circleIntegrable_sub_inv_iff", "circleIntegrable_sub_zpow_iff", "circleIntegral.integral_congr", "circleIntegral.integral_eq_zero_of_hasDerivWithinAt'", "circleIntegral.integral_radius_zero", "circleIntegral.integral_smul", "circleIntegral.integral_smul_const", "circleIntegral.integral_sub", "circleIntegral.integral_sub_center_inv", "circleIntegral.integral_sub_inv_of_mem_ball", "circleIntegral.integral_sub_inv_smul_sub_smul", "circleIntegral.integral_sub_zpow_of_ne", "circleIntegral.integral_sub_zpow_of_undef", "circleIntegral.norm_integral_le_of_norm_le_const", "circleIntegral.norm_integral_le_of_norm_le_const'", "circleIntegral.norm_integral_lt_of_norm_le_const_of_lt", "circleIntegral.norm_two_pi_i_inv_smul_integral_le_of_norm_le_const", "circleIntegral_def_Icc", "circleMap_eq_center_iff", "circleMap_mem_closedBall", "circleMap_mem_sphere", "circleMap_ne_center", "circleMap_ne_mem_ball", "circleMap_not_mem_ball", "circleMap_sub_center", "circleMap_zero", "circleMap_zero_radius", "circle_def", "closedBall_add_ball", "closedBall_add_closedBall", "closedBall_div_singleton", "closedBall_mul_singleton", "closedBall_one_div_singleton", "closedBall_one_mul_singleton", "closedBall_pi", "closedBall_pi'", "closedBall_prod_same", "closedBall_rpow_sub_one_eq_empty_aux", "closedBall_sub_ball", "closedBall_sub_closedBall", "closedEmbedding_cfc\u2099Aux", "closedEmbedding_iff_closedEmbedding_of_iSup_eq_top", "closedEmbedding_inl", "closedEmbedding_of_continuous_injective_closed", "closedEmbedding_of_spaced_out", "closedEmbedding_smul_left", "closedEmbedding_subtype_val", "closedEmbedding_update", "closedUnderRestriction'", "closedUnderRestriction_iff_id_le", "closed_nhds_basis", "closure.mono", "closure_Icc", "closure_Ici", "closure_Ico", "closure_Ioc", "closure_Ioi", "closure_Ioi'", "closure_Ioo", "closure_ball", "closure_closure", "closure_compl", "closure_compl_singleton", "closure_convexHull_extremePoints", "closure_diff", "closure_diff_frontier", "closure_diff_interior", "closure_diff_intrinsicFrontier", "closure_empty", "closure_empty_iff", "closure_eq_cluster_pts", "closure_eq_compl_interior_compl", "closure_eq_iff_isClosed", "closure_eq_self_union_frontier", "closure_eq_uniformity", "closure_iUnion", "closure_iUnion_of_finite", "closure_image_closure", "closure_image_mem_nhds_of_uniformInducing", "closure_induced", "closure_inter_open_nonempty_iff", "closure_interior_Icc", "closure_le_eq", "closure_lt_subset_le", "closure_minimal", "closure_mono", "closure_nonempty_iff", "closure_of_isSwap_of_isPretransitive", "closure_of_rat_image_lt", "closure_one_eq", "closure_openSegment", "closure_prod_eq", "closure_sUnion", "closure_singleton", "closure_smul", "closure_smul\u2080", "closure_subset_iff_isClosed", "closure_subtype", "closure_thickening", "closure_union", "closure_univ", "clusterPt_iff", "clusterPt_iff_forall_mem_closure", "clusterPt_iff_lift'_closure", "clusterPt_iff_lift'_closure'", "clusterPt_iff_not_disjoint", "clusterPt_iff_ultrafilter", "clusterPt_lift'_closure_iff", "clusterPt_principal_iff", "clusterPt_principal_iff_frequently", "cluster_point_of_Lindelof", "cmpLE_eq_cmp", "cmpLE_ofDual", "cmpLE_swap", "cmpLE_toDual", "cmpUsing_eq_eq", "cmpUsing_eq_gt", "cmpUsing_eq_lt", "cmp_compares", "cmp_div_one'", "cmp_eq_cmp_symm", "cmp_eq_gt_iff", "cmp_eq_lt_iff", "cmp_mul_neg_left", "cmp_mul_pos_right", "cmp_mul_right'", "cmp_ofDual", "cmp_swap", "cmp_toDual", "coLindelof_le_coclosedLindelof", "coLindelof_le_cofinite", "cocompact_le_atBot", "cocompact_le_atBot_atTop", "codisjoint_assoc", "codisjoint_bot", "codisjoint_hnot_hnot_left_iff", "codisjoint_hnot_hnot_right_iff", "codisjoint_hnot_left", "codisjoint_hnot_right", "codisjoint_iff", "codisjoint_iff_le_sup", "codisjoint_inf_left", "codisjoint_inf_right", "codisjoint_left_comm", "codisjoint_map_orderIso_iff", "codisjoint_right_comm", "codisjoint_self", "codisjoint_toDual_iff", "codisjoint_top_right", "coeFn_fourierLp", "coeIdeal_differentIdeal", "coeSubmodule_differentIdeal", "coeSubmodule_differentIdeal_fractionRing", "coe_achart", "coe_addEquiv_lpBCF", "coe_addEquiv_lpBCF_symm", "coe_affineSpan", "coe_algEquiv_lpBCF", "coe_basisOfLinearIndependentOfCardEqFinrank", "coe_basisOfOrthonormalOfCardEqFinrank", "coe_comp_nnnorm'", "coe_div_coe", "coe_factor_orderIso_map_eq_one_iff", "coe_finRotate_of_ne_last", "coe_finsetBasisOfLinearIndependentOfCardEqFinrank", "coe_fourierBasis", "coe_frobeniusEquiv", "coe_galRestrict_apply", "coe_gramSchmidtBasis", "coe_invMonoidHom", "coe_inv_circle", "coe_inv_circle_eq_conj", "coe_iterateFrobenius", "coe_iterateFrobeniusEquiv", "coe_iterateFrobenius_mul", "coe_lowerCentralSeries_ideal_quot_eq", "coe_lowerClosure", "coe_lpBCF\u2097\u1d62", "coe_lpBCF\u2097\u1d62_symm", "coe_mul_unitClosedBall", "coe_mul_unitSphere", "coe_neg_closedBall", "coe_nndist", "coe_nnnorm'", "coe_nnreal_ennreal_nndist", "coe_nonZeroDivisorsLeft_eq", "coe_nonZeroDivisorsRight_eq", "coe_normGroupNorm", "coe_normGroupSeminorm", "coe_normSeminorm", "coe_notMemRangeEquiv", "coe_notMemRangeEquiv_symm", "coe_powMonoidWithZeroHom", "coe_pow_unitSphere", "coe_ringEquiv_lpBCF", "coe_ringEquiv_lpBCF_symm", "coe_setBasisOfLinearIndependentOfCardEqFinrank", "coe_star\u2097\u1d62", "coe_toPrincipalIdeal", "coe_upperClosure", "coeff_minpolyDiv", "coeff_minpolyDiv_mem_adjoin", "coeff_minpolyDiv_sub_pow_mem_span", "coevaluation_apply_one", "coinduced_compose", "coinduced_iSup", "coinduced_id", "coinduced_sup", "collapse_eq", "collapse_modular", "collapse_nonneg", "collapse_of_mem", "collinear_empty", "collinear_iff_exists_forall_eq_smul_vadd", "collinear_iff_finrank_le_one", "collinear_iff_not_affineIndependent", "collinear_iff_not_affineIndependent_of_ne", "collinear_iff_not_affineIndependent_set", "collinear_iff_of_mem", "collinear_iff_rank_le_one", "collinear_insert_iff_of_mem_affineSpan", "collinear_insert_insert_insert_left_of_mem_affineSpan_pair", "collinear_insert_insert_insert_of_mem_affineSpan_pair", "collinear_insert_insert_of_mem_affineSpan_pair", "collinear_insert_of_mem_affineSpan_pair", "collinear_pair", "collinear_singleton", "collinear_triple_of_mem_affineSpan_pair", "comap_center_subst", "comap_coe_Iio_nhdsWithin_Iio", "comap_coe_Ioi_nhdsWithin_Ioi", "comap_coe_Ioo_nhdsWithin_Iio", "comap_coe_nhdsWithin_Iio_of_Ioo_subset", "comap_coe_nhdsWithin_Ioi_of_Ioo_subset", "comap_gauge_nhds_zero", "comap_gauge_nhds_zero_le", "comap_map_eq_map_adjoin_of_coprime_conductor", "comap_nhdsWithin_range", "comap_norm_atTop'", "comap_norm_nhdsWithin_Ioi_zero'", "comap_norm_nhds_one", "comap_prime", "comap_sigmaMk_nhds", "comap_subtype_coe_apply", "comap_swap_uniformity", "comap_uniformity_mulOpposite", "comap_uniformity_of_spaced_out", "comap_upperCentralSeries_quotient_center", "combo_mem_ball_of_ne", "comm", "commProb_def'", "commProb_eq_one_iff", "commProb_eq_zero_of_infinite", "commProb_function", "commProb_le_one", "commProb_pi", "commProb_pos", "commProb_prod", "comm_of", "comm_topologicalGroup_is_uniform", "commutative_of_cyclic_center_quotient", "commutative_ring_iff_abelian_lie_ring", "commutatorElement_def", "commutatorElement_eq_one_iff_commute", "commutatorElement_eq_one_iff_mul_comm", "commutatorElement_inv", "commutatorElement_one_left", "commutatorSet_def", "commutator_centralizer_commutator_le_center", "commutator_def", "commutator_eq_closure", "commutator_eq_normalClosure", "commute_iff_eq", "commute_iff_lie_eq", "commute_invOf", "commute_lmul_lmul_sq", "commute_lmul_sq_rmul", "commute_rmul_rmul_sq", "commute_star_comm", "comp3_mem_uniformity", "compRel_assoc", "compRel_mono", "comp_comp_symm_mem_uniformity_sets", "comp_dualTensorHom", "comp_le_uniformity", "comp_le_uniformity3", "comp_mem_uniformity_sets", "comp_mul_left", "comp_mul_right", "comp_open_symm_mem_uniformity_sets", "comp_smul_left", "comp_symm_mem_uniformity_sets", "comp_symm_of_uniformity", "comp_tendsto_lim", "compactCovering_subset", "compactSpace_uniformity", "compact_basis_nhds", "compact_covered_by_mul_left_translates", "compact_exists_isClopen_in_isOpen", "compact_open_separated_mul_left", "compact_open_separated_mul_right", "compact_t2_tot_disc_iff_tot_sep", "compare_eq_iff_eq", "compare_ge_iff_ge", "compare_gt_iff_gt", "compare_iff", "compare_le_iff_le", "compare_lt_iff_lt", "compare_of_injective_eq_compareOfLessAndEq", "compl_anti", "compl_beattySeq", "compl_beattySeq'", "compl_bihimp", "compl_bijective", "compl_bot", "compl_comp_compl", "compl_compl", "compl_compl_compl", "compl_compl_himp_distrib", "compl_compl_inf_distrib", "compl_eq_bot", "compl_eq_comm", "compl_eq_iff_isCompl", "compl_eq_top", "compl_frontier_eq_union_interior", "compl_himp_compl", "compl_iSup", "compl_iff_not", "compl_inf", "compl_inf_eq_bot", "compl_inf_self", "compl_inj_iff", "compl_involutive", "compl_le_compl_iff_le", "compl_le_himp", "compl_le_iff_compl_le", "compl_le_of_compl_le", "compl_le_self", "compl_lt_compl_iff_lt", "compl_lt_self", "compl_mul_closure_one_eq", "compl_ne_self", "compl_sInf", "compl_sInf'", "compl_sSup", "compl_sSup'", "compl_sdiff", "compl_sdiff_compl", "compl_singleton_mem_nhdsSet_iff", "compl_singleton_mem_nhds_iff", "compl_sup", "compl_sup_compl_le", "compl_sup_distrib", "compl_sup_eq_top", "compl_sup_le_himp", "compl_surjective", "compl_symmDiff", "compl_symmDiff_compl", "compl_top", "compl_unique", "complementedLattice_iff_isAtomistic", "complementedLattice_of_complementedLattice_Iic", "complementedLattice_of_isAtomistic", "complementedLattice_of_sSup_atoms_eq_top", "completeLat_dual_comp_forget_to_bddLat", "completeSpace_coe_iff_isComplete", "completeSpace_congr", "completeSpace_extension", "completeSpace_iff_isComplete_range", "completeSpace_iff_isComplete_univ", "completeSpace_iff_ultrafilter", "completeSpace_of_isComplete_univ", "completeSpace_prod_of_nonempty", "complete_polishSpaceMetric", "complete_univ", "completedRiemannZeta_eq", "completedRiemannZeta_one_sub", "completedRiemannZeta_residue_one", "completedRiemannZeta\u2080_one", "completedRiemannZeta\u2080_one_sub", "completedZeta_eq_tsum_of_one_lt_re", "compositionAsSet_card", "composition_card", "comul_eq_diag", "concaveOn_const", "concaveOn_id", "concaveOn_iff_div", "concaveOn_iff_forall_pos", "concaveOn_iff_pairwise_pos", "concaveOn_iff_slope_anti_adjacent", "concaveOn_of_deriv2_nonpos", "concaveOn_of_deriv2_nonpos'", "concaveOn_of_hasDerivWithinAt2_nonpos", "concaveOn_of_slope_anti_adjacent", "concaveOn_univ_of_deriv2_nonpos", "cond_false", "cond_true", "conductor_eq_of_eq", "conductor_eq_top_of_adjoin_eq_top", "conductor_mul_differentIdeal", "conductor_subset_adjoin", "conformalAt_const_smul", "conformalAt_iff", "conformalAt_iff'", "conformalAt_iff_differentiableAt_or_differentiableAt_comp_conj", "conformalAt_iff_isConformalMap_fderiv", "conformalFactorAt_pos", "conformal_const_smul", "congr", "congrArg", "congrFun", "congrFun\u2082", "congrFun\u2083", "congr_arg_heq", "congr_arg_refl", "congr_eqRec", "congr_fun_rfl", "congr_heq", "congr_refl_left", "conj_eq_one_iff", "conj_inv", "conj_mul", "conj_pow", "conj_trivial", "conj_zpow", "conjugate_le_conjugate", "conjugate_le_conjugate'", "conjugate_lt_conjugate", "conjugate_lt_conjugate'", "conjugate_nonneg", "conjugate_nonneg'", "conjugate_pos", "conjugate_pos'", "connectedComponentIn_eq", "connectedComponentIn_eq_empty", "connectedComponentIn_eq_image", "connectedComponentIn_mem_nhds", "connectedComponentIn_mono", "connectedComponentIn_nonempty_iff", "connectedComponentIn_subset", "connectedComponentIn_univ", "connectedComponent_eq", "connectedComponent_eq_iInter_isClopen", "connectedComponent_eq_iff_mem", "connectedComponent_nonempty", "connectedComponent_subset_iInter_isClopen", "connectedComponents_lift_unique'", "connectedComponents_preimage_image", "connectedComponents_preimage_singleton", "connectedSpace_iff_connectedComponent", "constFormalMultilinearSeries_apply", "constFormalMultilinearSeries_zero", "const_smul_mfderiv", "constantCoeff_wittPolynomial", "constantCoeff_wittStructureInt", "constantCoeff_wittStructureInt_zero", "constantCoeff_wittStructureRat", "constantCoeff_wittStructureRat_zero", "constantCoeff_xInTermsOfW", "constant_of_derivWithin_zero", "constant_of_has_deriv_right_zero", "constant_of_monotoneOn_antitoneOn", "constant_of_monotone_antitone", "contDiffAt_const", "contDiffAt_euclidean", "contDiffAt_id", "contDiffAt_inv", "contDiffAt_map_inverse", "contDiffAt_norm", "contDiffAt_of_subsingleton", "contDiffAt_one_iff", "contDiffAt_prod", "contDiffAt_prod'", "contDiffAt_ring_inverse", "contDiffAt_succ_iff_hasFDerivAt", "contDiffAt_top", "contDiffAt_zero", "contDiffGroupoid_le", "contDiffGroupoid_prod", "contDiffGroupoid_zero_eq", "contDiffOn_all_iff_nat", "contDiffOn_clm_apply", "contDiffOn_congr", "contDiffOn_const", "contDiffOn_euclidean", "contDiffOn_ext_coord_change", "contDiffOn_fderivWithin_apply", "contDiffOn_fderiv_coord_change", "contDiffOn_id'", "contDiffOn_iff_continuousOn_differentiableOn", "contDiffOn_iff_continuousOn_differentiableOn_deriv", "contDiffOn_inv", "contDiffOn_of_continuousOn_differentiableOn", "contDiffOn_of_continuousOn_differentiableOn_deriv", "contDiffOn_of_differentiableOn_deriv", "contDiffOn_of_locally_contDiffOn", "contDiffOn_pi", "contDiffOn_prod", "contDiffOn_prod'", "contDiffOn_stereoToFun", "contDiffOn_succ_iff_derivWithin", "contDiffOn_succ_iff_deriv_of_isOpen", "contDiffOn_succ_iff_fderivWithin", "contDiffOn_succ_iff_fderiv_apply", "contDiffOn_succ_iff_fderiv_of_isOpen", "contDiffOn_succ_iff_hasFDerivWithin", "contDiffOn_succ_iff_hasFDerivWithinAt", "contDiffOn_succ_of_fderivWithin", "contDiffOn_succ_of_fderiv_apply", "contDiffOn_top", "contDiffOn_top_iff_derivWithin", "contDiffOn_top_iff_deriv_of_isOpen", "contDiffOn_top_iff_fderivWithin", "contDiffOn_top_iff_fderiv_of_isOpen", "contDiffOn_univ", "contDiffOn_zero", "contDiffWithinAtProp_id", "contDiffWithinAtProp_mono_of_mem", "contDiffWithinAtProp_self", "contDiffWithinAtProp_self_source", "contDiffWithinAtProp_self_target", "contDiffWithinAt_congr_nhds", "contDiffWithinAt_const", "contDiffWithinAt_euclidean", "contDiffWithinAt_ext_coord_change", "contDiffWithinAt_fst", "contDiffWithinAt_insert", "contDiffWithinAt_inter", "contDiffWithinAt_inter'", "contDiffWithinAt_localInvariantProp", "contDiffWithinAt_nat", "contDiffWithinAt_of_subsingleton", "contDiffWithinAt_pi", "contDiffWithinAt_prod", "contDiffWithinAt_snd", "contDiffWithinAt_succ_iff_hasFDerivWithinAt", "contDiffWithinAt_succ_iff_hasFDerivWithinAt'", "contDiffWithinAt_top", "contDiffWithinAt_univ", "contDiffWithinAt_zero", "contDiff_add", "contDiff_all_iff_nat", "contDiff_clm_apply_iff", "contDiff_const", "contDiff_euclidean", "contDiff_id", "contDiff_iff_contDiffAt", "contDiff_iff_continuous_differentiable", "contDiff_iff_forall_nat_le", "contDiff_iff_ftaylorSeries", "contDiff_iff_iteratedDeriv", "contDiff_inner", "contDiff_mul", "contDiff_neg", "contDiff_norm_rpow", "contDiff_norm_sq", "contDiff_of_differentiable_iteratedDeriv", "contDiff_of_differentiable_iteratedFDeriv", "contDiff_of_subsingleton", "contDiff_one_iff_hasFDerivAt", "contDiff_pi", "contDiff_prod", "contDiff_prod'", "contDiff_prodAssoc", "contDiff_prod_mk_left", "contDiff_single", "contDiff_smul", "contDiff_snd", "contDiff_stereoInvFunAux", "contDiff_succ_iff_deriv", "contDiff_succ_iff_fderiv", "contDiff_succ_iff_hasFDerivAt", "contDiff_top", "contDiff_top_iff_deriv", "contDiff_top_iff_fderiv", "contDiff_tsum", "contDiff_tsum_of_eventually", "contDiff_update", "contDiff_zero", "contDiff_zero_fun", "contMDiffAt_extChartAt", "contMDiffAt_extChartAt'", "contMDiffAt_finset_prod'", "contMDiffAt_fst", "contMDiffAt_hom_bundle", "contMDiffAt_iff", "contMDiffAt_iff_contDiffAt", "contMDiffAt_iff_contMDiffAt_nhds", "contMDiffAt_iff_contMDiffOn_nhds", "contMDiffAt_iff_of_mem_source", "contMDiffAt_iff_source_of_mem_source", "contMDiffAt_iff_target", "contMDiffAt_iff_target_of_mem_source", "contMDiffAt_of_mem_maximalAtlas", "contMDiffAt_of_not_mem_mulTSupport", "contMDiffAt_one", "contMDiffAt_pi_space", "contMDiffAt_prod_iff", "contMDiffAt_symm_of_mem_maximalAtlas", "contMDiffAt_top", "contMDiffOn_chart", "contMDiffOn_chart_symm", "contMDiffOn_congr", "contMDiffOn_const", "contMDiffOn_coordChangeL", "contMDiffOn_extChartAt", "contMDiffOn_extChartAt_symm", "contMDiffOn_extend_symm", "contMDiffOn_finprod", "contMDiffOn_finset_prod'", "contMDiffOn_fst", "contMDiffOn_id", "contMDiffOn_iff", "contMDiffOn_iff_contDiffOn", "contMDiffOn_iff_of_mem_maximalAtlas", "contMDiffOn_iff_of_mem_maximalAtlas'", "contMDiffOn_iff_of_subset_source'", "contMDiffOn_iff_source_of_mem_maximalAtlas", "contMDiffOn_iff_target", "contMDiffOn_model_symm", "contMDiffOn_of_locally_contMDiffOn", "contMDiffOn_of_mem_maximalAtlas", "contMDiffOn_openEmbedding_symm", "contMDiffOn_snd", "contMDiffOn_symm_coordChangeL", "contMDiffOn_top", "contMDiffOn_univ", "contMDiffWithinAt_congr_nhds", "contMDiffWithinAt_const", "contMDiffWithinAt_finprod", "contMDiffWithinAt_finset_prod", "contMDiffWithinAt_fst", "contMDiffWithinAt_iff", "contMDiffWithinAt_iff'", "contMDiffWithinAt_iff_contDiffWithinAt", "contMDiffWithinAt_iff_contMDiffOn_nhds", "contMDiffWithinAt_iff_image", "contMDiffWithinAt_iff_nat", "contMDiffWithinAt_iff_of_mem_maximalAtlas", "contMDiffWithinAt_iff_of_mem_source", "contMDiffWithinAt_iff_of_mem_source'", "contMDiffWithinAt_iff_source_of_mem_maximalAtlas", "contMDiffWithinAt_iff_source_of_mem_source", "contMDiffWithinAt_iff_target", "contMDiffWithinAt_iff_target_of_mem_source", "contMDiffWithinAt_insert_self", "contMDiffWithinAt_inter'", "contMDiffWithinAt_of_not_mem_mulTSupport", "contMDiffWithinAt_pi_space", "contMDiffWithinAt_prod_iff", "contMDiffWithinAt_snd", "contMDiffWithinAt_top", "contMDiff_coe_sphere", "contMDiff_const", "contMDiff_expMapCircle", "contMDiff_finprod", "contMDiff_finprod_cond", "contMDiff_iff", "contMDiff_iff_contDiff", "contMDiff_iff_target", "contMDiff_inclusion", "contMDiff_model", "contMDiff_neg_sphere", "contMDiff_of_locally_contMDiffOn", "contMDiff_of_mulTSupport", "contMDiff_openEmbedding", "contMDiff_pi_space", "contMDiff_prod_iff", "contMDiff_snd", "contMdiffAt_subtype_iff", "continuousAt_clog", "continuousAt_congr", "continuousAt_const", "continuousAt_const_cpow", "continuousAt_const_cpow'", "continuousAt_cpow", "continuousAt_dslope_of_ne", "continuousAt_dslope_same", "continuousAt_extChartAt'", "continuousAt_extChartAt_symm'", "continuousAt_extChartAt_symm''", "continuousAt_fract", "continuousAt_gauge", "continuousAt_gauge_zero", "continuousAt_gaussian_integral", "continuousAt_id", "continuousAt_iff_continuous_left'_right'", "continuousAt_iff_continuous_left_right", "continuousAt_iff_lower_upperSemicontinuousAt", "continuousAt_iff_ultrafilter", "continuousAt_jacobiTheta\u2082", "continuousAt_jacobiTheta\u2082'", "continuousAt_matrix_inv", "continuousAt_of_locally_lipschitz", "continuousAt_of_locally_uniform_approx_of_continuousAt", "continuousAt_of_monotoneOn_of_exists_between", "continuousAt_of_monotoneOn_of_image_mem_nhds", "continuousAt_of_tendsto_nhds", "continuousAt_pi'", "continuousAt_pow", "continuousAt_prod_of_discrete_left", "continuousAt_prod_of_discrete_right", "continuousAt_sign_of_ne_zero", "continuousAt_sign_of_neg", "continuousAt_sign_of_pos", "continuousAt_snd", "continuousAt_subtype_val", "continuousAt_toIocMod", "continuousAt_update_same", "continuousAt_zpow", "continuousAt_zpow\u2080", "continuousFunctionalCalculus_map_id", "continuousInv_inf", "continuousInv_sInf", "continuousLinearMapToWeakSpace_bijective", "continuousMap_mem_polynomialFunctions_closure", "continuousMul_iInf", "continuousMul_induced", "continuousMul_of_comm_of_nhds_one", "continuousMul_of_smooth", "continuousMul_sInf", "continuousMultilinearCurryFin0_apply", "continuousMultilinearCurryFin0_symm_apply", "continuousMultilinearCurryLeftEquiv_apply", "continuousMultilinearCurryLeftEquiv_symm_apply", "continuousMultilinearCurryRightEquiv_symm_apply", "continuousMultilinearCurryRightEquiv_symm_apply'", "continuousOn_Icc_extendFrom_Ioo", "continuousOn_Ico_extendFrom_Ioo", "continuousOn_Ioc_extendFrom_Ioo", "continuousOn_apply", "continuousOn_boolIndicator_iff_isClopen", "continuousOn_clm_apply", "continuousOn_congr", "continuousOn_const", "continuousOn_const_smul_iff", "continuousOn_const_smul_iff\u2080", "continuousOn_coordChange", "continuousOn_div", "continuousOn_dslope", "continuousOn_extChartAt", "continuousOn_extChartAt_symm", "continuousOn_extendFrom", "continuousOn_finset_prod", "continuousOn_floor", "continuousOn_fract", "continuousOn_id", "continuousOn_id'", "continuousOn_iff", "continuousOn_iff'", "continuousOn_iff_continuous_restrict", "continuousOn_iff_isClosed", "continuousOn_iff_lower_upperSemicontinuousOn", "continuousOn_integral_bilinear_of_locally_integrable_of_compact_support", "continuousOn_integral_of_compact_support", "continuousOn_inv\u2080", "continuousOn_multiset_prod", "continuousOn_of_locally_continuousOn", "continuousOn_of_locally_uniform_approx_of_continuousWithinAt", "continuousOn_of_uniform_approx_of_continuousOn", "continuousOn_open_iff", "continuousOn_piecewise_ite", "continuousOn_piecewise_ite'", "continuousOn_pow", "continuousOn_prod_of_continuousOn_lipschitzOnWith", "continuousOn_prod_of_discrete_left", "continuousOn_prod_of_discrete_right", "continuousOn_prod_of_subset_closure_continuousOn_lipschitzOnWith", "continuousOn_singleton", "continuousOn_snd", "continuousOn_star", "continuousOn_tangentCoordChange", "continuousOn_taylorWithinEval", "continuousOn_to_generateFrom_iff", "continuousOn_tsum", "continuousOn_update_iff", "continuousOn_zpow", "continuousSMul_iInf", "continuousSMul_sInf", "continuousWithinAt_Icc_iff_Ici", "continuousWithinAt_Icc_iff_Iic", "continuousWithinAt_Ico_iff_Ici", "continuousWithinAt_Ico_iff_Iio", "continuousWithinAt_Iio_iff_Iic", "continuousWithinAt_Ioc_iff_Iic", "continuousWithinAt_Ioc_iff_Ioi", "continuousWithinAt_Ioi_iff_Ici", "continuousWithinAt_Ioo_iff_Iio", "continuousWithinAt_Ioo_iff_Ioi", "continuousWithinAt_compl_self", "continuousWithinAt_congr_nhds", "continuousWithinAt_const", "continuousWithinAt_const_smul_iff\u2080", "continuousWithinAt_diff_self", "continuousWithinAt_dslope_of_ne", "continuousWithinAt_fst", "continuousWithinAt_id", "continuousWithinAt_iff_continuousAt", "continuousWithinAt_iff_continuousAt_restrict", "continuousWithinAt_iff_lower_upperSemicontinuousWithinAt", "continuousWithinAt_iff_ptendsto_res", "continuousWithinAt_insert_self", "continuousWithinAt_inter", "continuousWithinAt_inter'", "continuousWithinAt_left_of_monotoneOn_of_closure_image_mem_nhdsWithin", "continuousWithinAt_left_of_monotoneOn_of_image_mem_nhdsWithin", "continuousWithinAt_of_locally_uniform_approx_of_continuousWithinAt", "continuousWithinAt_of_not_mem_closure", "continuousWithinAt_pi", "continuousWithinAt_prod_iff", "continuousWithinAt_prod_of_discrete_left", "continuousWithinAt_prod_of_discrete_right", "continuousWithinAt_right_of_monotoneOn_of_closure_image_mem_nhdsWithin", "continuousWithinAt_right_of_monotoneOn_of_exists_between", "continuousWithinAt_singleton", "continuousWithinAt_snd", "continuousWithinAt_star", "continuousWithinAt_union", "continuousWithinAt_univ", "continuousWithinAt_update_of_ne", "continuousWithinAt_update_same", "continuous_IccExtend_iff", "continuous_Prop", "continuous_algebraMap", "continuous_algebraMap_iff_smul", "continuous_apply", "continuous_apply_apply", "continuous_barycentric_coord", "continuous_boolIndicator_iff_isClopen", "continuous_bool_rng", "continuous_bot", "continuous_circleMap", "continuous_circleMap_inv", "continuous_clm_apply", "continuous_coe_real_ereal", "continuous_coinduced_dom", "continuous_coinduced_rng", "continuous_congr_of_inseparable", "continuous_const", "continuous_const_smul_iff", "continuous_const_smul_iff\u2080", "continuous_decomposeProdAdjoint", "continuous_decomposeProdAdjoint_symm", "continuous_def", "continuous_discrete_rng", "continuous_dist", "continuous_div_left'", "continuous_edist", "continuous_empty_function", "continuous_equivFun_basis", "continuous_equivFun_basis_aux", "continuous_extendFrom", "continuous_finprod", "continuous_finprod_cond", "continuous_finset_prod", "continuous_fst", "continuous_gaugeRescale", "continuous_generateFrom_iff", "continuous_iInf_dom", "continuous_iInf_rng", "continuous_iSup_dom", "continuous_iSup_rng", "continuous_id", "continuous_id'", "continuous_id_of_le", "continuous_if", "continuous_if'", "continuous_if_const", "continuous_if_le", "continuous_iff_coinduced_le", "continuous_iff_continuousAt", "continuous_iff_continuousOn_univ", "continuous_iff_continuous_dist", "continuous_iff_isClosed", "continuous_iff_le_induced", "continuous_iff_lower_upperSemicontinuous", "continuous_iff_ultrafilter", "continuous_inclusion", "continuous_induced_rng", "continuous_inf", "continuous_inf_dom_left\u2082", "continuous_inf_dom_right", "continuous_inf_dom_right\u2082", "continuous_inf_rng", "continuous_inner", "continuous_inr", "continuous_inv_iff", "continuous_isLeft", "continuous_isRight", "continuous_le_dom", "continuous_le_rng", "continuous_left_toIocMod", "continuous_matrix", "continuous_matrix_diag", "continuous_max", "continuous_mul", "continuous_mulSingle", "continuous_mul_left", "continuous_mul_right", "continuous_negPart", "continuous_nndist", "continuous_norm'", "continuous_ofAdd", "continuous_ofMul", "continuous_of_const", "continuous_of_continuousAt_one\u2082", "continuous_of_cover_nhds", "continuous_of_discreteTopology", "continuous_of_le_add_edist", "continuous_of_linear_of_bound", "continuous_of_linear_of_bound\u209b\u2097", "continuous_of_mulTSupport", "continuous_of_scottContinuous", "continuous_of_uniform_approx_of_continuous", "continuous_one", "continuous_parametric_integral_of_continuous", "continuous_pi", "continuous_pi_iff", "continuous_piecewise", "continuous_posPart", "continuous_pow", "continuous_preStoneCechExtend", "continuous_preStoneCechUnit", "continuous_prod_mk", "continuous_prod_of_continuous_lipschitzWith", "continuous_prod_of_dense_continuous_lipschitzWith", "continuous_prod_of_discrete_left", "continuous_prod_of_discrete_right", "continuous_quotient_mk'", "continuous_right_toIcoMod", "continuous_sInf_dom\u2082", "continuous_sInf_rng", "continuous_sSup_dom", "continuous_sSup_rng", "continuous_sigma", "continuous_sigmaMk", "continuous_sigma_iff", "continuous_sigma_map", "continuous_snd", "continuous_stereoInvFun", "continuous_stoneCechExtend", "continuous_subtype_val", "continuous_sum_dom", "continuous_sum_elim", "continuous_sum_map", "continuous_sup", "continuous_sup_dom", "continuous_sup_rng_left", "continuous_sup_rng_right", "continuous_swap", "continuous_thickenedIndicatorAux", "continuous_toAdd", "continuous_top", "continuous_tsum", "continuous_uLift_down", "continuous_uLift_up", "continuous_ultrafilter_extend", "continuous_vsub", "continuum_le_cardinal_of_module", "continuum_le_cardinal_of_nontriviallyNormedField", "contractLeft_assoc_coevaluation", "contractLeft_assoc_coevaluation'", "contractible_iff_id_nullhomotopic", "contravariant_le_iff_contravariant_lt_and_eq", "contravariant_le_of_contravariant_eq_and_lt", "controlled_closure_of_complete", "controlled_closure_range_of_complete", "controlled_prod_of_mem_closure", "controlled_prod_of_mem_closure_range", "convexHull_add", "convexHull_basis_eq_stdSimplex", "convexHull_convexHull_union_left", "convexHull_convexHull_union_right", "convexHull_diam", "convexHull_ediam", "convexHull_empty", "convexHull_empty_iff", "convexHull_eq", "convexHull_eq_iInter", "convexHull_eq_union", "convexHull_eq_union_convexHull_finite_subsets", "convexHull_exists_dist_ge", "convexHull_exists_dist_ge2", "convexHull_insert", "convexHull_list_sum", "convexHull_min", "convexHull_mono", "convexHull_multiset_sum", "convexHull_neg", "convexHull_nonempty_iff", "convexHull_pair", "convexHull_range_eq_exists_affineCombination", "convexHull_singleton", "convexHull_sub", "convexHull_subset_affineSpan", "convexHull_sum", "convexHull_toCone_isLeast", "convexHull_union", "convexHull_zero", "convexIndependent_iff_finset", "convexIndependent_iff_not_mem_convexHull_diff", "convexIndependent_set_iff_inter_convexHull_subset", "convexIndependent_set_iff_not_mem_convexHull_diff", "convexJoin_assoc", "convexJoin_assoc_aux", "convexJoin_comm", "convexJoin_empty_left", "convexJoin_empty_right", "convexJoin_iUnion_left", "convexJoin_iUnion_right", "convexJoin_mono_left", "convexJoin_right_comm", "convexJoin_segment_singleton", "convexJoin_segments", "convexJoin_singleton_left", "convexJoin_singleton_right", "convexJoin_singleton_segment", "convexJoin_singletons", "convexJoin_subset_convexHull", "convexJoin_union_left", "convexJoin_union_right", "convexOn_const", "convexOn_dist", "convexOn_exp", "convexOn_id", "convexOn_iff_convex_epigraph", "convexOn_iff_div", "convexOn_iff_forall_pos", "convexOn_iff_pairwise_pos", "convexOn_iff_slope_mono_adjacent", "convexOn_norm", "convexOn_of_convex_epigraph", "convexOn_of_deriv2_nonneg", "convexOn_of_deriv2_nonneg'", "convexOn_of_hasDerivWithinAt2_nonneg", "convexOn_of_slope_mono_adjacent", "convexOn_rpow", "convexOn_univ_dist", "convexOn_univ_of_deriv2_nonneg", "convexOn_zpow", "convex_Icc", "convex_Ici", "convex_Ico", "convex_Iic", "convex_Iio", "convex_Ioc", "convex_ball", "convex_closedBall", "convex_convexHull", "convex_empty", "convex_halfspace_ge", "convex_halfspace_gt", "convex_halfspace_im_ge", "convex_halfspace_im_le", "convex_halfspace_im_lt", "convex_halfspace_lt", "convex_halfspace_re_gt", "convex_halfspace_re_lt", "convex_hyperplane", "convex_iInter", "convex_iInter\u2082", "convex_iff_div", "convex_iff_openSegment_subset", "convex_iff_ordConnected", "convex_iff_pairwise_pos", "convex_iff_pointwise_add_subset", "convex_iff_segment_subset", "convex_iff_sum_mem", "convex_openSegment", "convex_parallelepiped", "convex_pi", "convex_sInter", "convex_segment", "convex_singleton", "convex_stdSimplex", "convex_sum", "convex_uIcc", "convex_univ", "coord_norm'", "coplanar_iff_finrank_le_two", "coplanar_insert_iff_of_mem_affineSpan", "coplanar_of_fact_finrank_eq_two", "coplanar_of_finrank_eq_two", "coplanar_singleton", "coplanar_triple", "coprime_sq_sub_mul", "coprime_sq_sub_mul_of_even_odd", "coprime_sq_sub_mul_of_odd_even", "coprime_sq_sub_sq_add_of_even_odd", "coprime_sq_sub_sq_add_of_odd_even", "coprime_sq_sub_sq_sum_of_odd_odd", "corners_theorem", "corners_theorem_nat", "counit_eq_from", "count_associates_factors_eq", "count_span_normalizedFactors_eq", "count_span_normalizedFactors_eq_of_normUnit", "countable_bInter_mem", "countable_cover_nhds", "countable_cover_nhdsWithin_of_sigma_compact", "countable_cover_nhds_of_sigma_compact", "countable_iInter_mem", "countable_iff_nonempty_embedding", "countable_image_lt_image_Ioi", "countable_of_Lindelof_of_discrete", "countable_of_isolated_left'", "countable_sInter_mem", "countable_setOf_covBy_right", "countable_setOf_isolated_right", "covBy_congr_right", "covBy_iff_Ioo_eq", "covBy_iff_coatom_Iic", "covBy_iff_lt_and_eq_or_eq", "covBy_iff_quot_is_simple", "covBy_iff_wcovBy_and_lt", "covBy_sup_of_inf_covBy_left", "covBy_sup_of_inf_covBy_of_inf_covBy_right", "covBy_sup_of_inf_covBy_right", "covBy_top_iff", "covariantClass_le_of_lt", "covariant_flip_iff", "covariant_le_of_covariant_lt", "covariant_lt_iff_contravariant_le", "coverPreserving_opens_map", "cpow_eq_nhds", "cpow_eq_nhds'", "cross_anticomm", "cross_apply", "cross_cross", "cross_dot_cross", "cross_self", "csInf_Icc", "csInf_Ici", "csInf_Ioc", "csInf_Ioi", "csInf_Ioo", "csInf_div", "csInf_image2_eq_csInf_csInf", "csInf_image2_eq_csInf_csSup", "csInf_image2_eq_csSup_csInf", "csInf_insert", "csInf_inv", "csInf_le", "csInf_le'", "csInf_le_csSup", "csInf_le_iff", "csInf_le_of_le", "csInf_lt_of_lt", "csInf_mem", "csInf_mem_closure", "csInf_mem_of_not_isPredLimit", "csInf_mul", "csInf_of_not_bddBelow", "csInf_pair", "csInf_singleton", "csInf_univ", "csSup_Icc", "csSup_Ico", "csSup_Iic", "csSup_Iio", "csSup_Ioc", "csSup_div", "csSup_empty", "csSup_eq_csSup_of_forall_exists_le", "csSup_eq_of_forall_le_of_forall_lt_exists_gt", "csSup_eq_of_is_forall_le_of_forall_le_imp_ge", "csSup_eq_univ_of_not_bddAbove", "csSup_image2_eq_csSup_csInf", "csSup_image2_eq_csSup_csSup", "csSup_inter_le", "csSup_inv", "csSup_le", "csSup_le'", "csSup_le_iff", "csSup_le_iff'", "csSup_lower_bounds_eq_csInf", "csSup_mem_of_not_isSuccLimit", "csSup_mem_of_not_isSuccLimit'", "csSup_mul", "csSup_of_not_bddAbove", "csSup_one", "csSup_pair", "csSup_singleton", "csSup_union", "cthickening_ball", "cthickening_closedBall", "cthickening_cthickening", "cthickening_thickening", "cube_of_not_dvd", "cycleType_finRotate", "cycleType_finRotate_of_le", "cycles'Map_id", "cyclotomic_comp_X_add_one_isEisensteinAt", "cyclotomic_prime_pow_comp_X_add_one_isEisensteinAt", "dNext_comp_right", "dNext_eq", "dNext_eq_dFrom_fromNext", "dNext_eq_zero", "dNext_nat", "decidableEq_inl_refl", "decide_False'", "decide_True'", "decide_eq_false_iff_not", "decide_eq_true_eq", "decide_not", "den_dvd_of_is_root", "denomsClearable_C_mul_X_pow", "denomsClearable_of_natDegree_le", "denomsClearable_zero", "denseEmbedding_id", "denseEmbedding_pure", "denseInducing_pure", "denseRange_discrete", "denseRange_iff_closure_range", "denseRange_preStoneCechUnit", "denseRange_pure", "denseRange_smul", "denseRange_stoneCechUnit", "dense_biInter_of_isOpen", "dense_biUnion_interior_of_closed", "dense_closure", "dense_compl_of_dimH_lt_finrank", "dense_compl_singleton", "dense_compl_singleton_iff_not_open", "dense_discrete", "dense_iInter_of_G\u03b4", "dense_iInter_of_isOpen", "dense_iInter_of_isOpen_nat", "dense_iUnion_interior_of_closed", "dense_iff_closure_eq", "dense_iff_inter_open", "dense_irrational", "dense_liouville", "dense_of_nonempty_smul_invariant", "dense_or_discrete", "dense_pi", "dense_sInter_of_G\u03b4", "dense_sInter_of_isOpen", "dense_sUnion_interior_of_closed", "dense_univ", "denselyOrdered_orderDual", "derangements.Equiv.RemoveNone.fiber_none", "derangements.Equiv.RemoveNone.fiber_some", "derangements.Equiv.RemoveNone.mem_fiber", "deriv.comp", "deriv.comp_of_eq", "deriv.lhopital_zero_atBot", "deriv.lhopital_zero_atBot_on_Iio", "deriv.lhopital_zero_atTop", "deriv.lhopital_zero_atTop_on_Ioi", "deriv.lhopital_zero_left_on_Ioo", "deriv.lhopital_zero_nhds", "deriv.lhopital_zero_nhds'", "deriv.lhopital_zero_nhds_left", "deriv.lhopital_zero_nhds_right", "deriv.lhopital_zero_right_on_Ico", "deriv.lhopital_zero_right_on_Ioo", "deriv.neg", "deriv.neg'", "deriv.scomp", "deriv.scomp_of_eq", "deriv.star", "deriv.star'", "deriv2_sqrt_mul_log", "derivWithin.comp", "derivWithin.log", "derivWithin.neg", "derivWithin.scomp_of_eq", "derivWithin.star", "derivWithin_Ioi_eq_Ici", "derivWithin_ccos", "derivWithin_ccosh", "derivWithin_cexp", "derivWithin_clm_apply", "derivWithin_clm_comp", "derivWithin_congr", "derivWithin_congr_set'", "derivWithin_const", "derivWithin_const_add", "derivWithin_const_mul", "derivWithin_const_smul", "derivWithin_const_sub", "derivWithin_cos", "derivWithin_cosh", "derivWithin_csin", "derivWithin_csinh", "derivWithin_div_const", "derivWithin_exp", "derivWithin_fderivWithin", "derivWithin_finset_prod", "derivWithin_inter", "derivWithin_inv", "derivWithin_inv'", "derivWithin_mem_iff", "derivWithin_mul", "derivWithin_mul_const", "derivWithin_neg", "derivWithin_of_isOpen", "derivWithin_of_mem", "derivWithin_of_mem_nhds", "derivWithin_pi", "derivWithin_pow", "derivWithin_pow'", "derivWithin_rpow_const", "derivWithin_sin", "derivWithin_sqrt", "derivWithin_sub", "derivWithin_sub_const", "derivWithin_subset", "derivWithin_sum", "derivWithin_univ", "derivWithin_zero_of_isolated", "derivWithin_zero_of_nmem_closure", "derivWithin_zero_of_not_differentiableWithinAt", "derivWithin_zpow", "deriv_add", "deriv_add_const", "deriv_arctan", "deriv_ccos", "deriv_cexp", "deriv_circleMap", "deriv_circleMap_eq_zero_iff", "deriv_circleMap_ne_zero", "deriv_comp_add_const", "deriv_comp_const_add", "deriv_comp_neg", "deriv_const_add", "deriv_const_add'", "deriv_const_mul", "deriv_const_mul_field", "deriv_const_mul_field'", "deriv_const_smul", "deriv_const_smul'", "deriv_const_sub", "deriv_cosh", "deriv_csinh", "deriv_div", "deriv_div_const", "deriv_eqOn", "deriv_fderiv", "deriv_finset_prod", "deriv_id'", "deriv_inv", "deriv_mem_iff", "deriv_mul_const_field", "deriv_mul_const_field'", "deriv_neg", "deriv_neg'", "deriv_norm_pos", "deriv_pi", "deriv_pow", "deriv_pow'", "deriv_pow''", "deriv_rpow_const", "deriv_sin", "deriv_single", "deriv_sinh", "deriv_smul", "deriv_smul_const", "deriv_sq_norm_ne_zero", "deriv_sqrt_mul_log", "deriv_sqrt_mul_log'", "deriv_sub", "deriv_sub_const", "deriv_sum", "deriv_tsum", "deriv_zero_of_not_differentiableAt", "deriv_zpow", "deriv_zpow'", "derivedSeries_le_map_derivedSeries", "derivedSeries_normal", "derivedSeries_one", "derivedSeries_succ", "derivedSeries_zero", "descPochhammer_eq_ascPochhammer", "descPochhammer_eval_cast", "descPochhammer_eval_eq_ascPochhammer", "descPochhammer_eval_eq_descFactorial", "descPochhammer_eval_zero", "descPochhammer_int_eq_ascFactorial", "descPochhammer_map", "descPochhammer_mul", "descPochhammer_natDegree", "descPochhammer_ne_zero_eval_zero", "descPochhammer_one", "descPochhammer_succ_comp_X_sub_one", "descPochhammer_succ_eval", "descPochhammer_succ_left", "descPochhammer_succ_right", "descPochhammer_zero", "descPochhammer_zero_eval_zero", "descending_central_series_ge_lower", "det_ne_zero_of_sum_col_lt_diag", "det_ne_zero_of_sum_row_lt_diag", "det_rotation", "det_traceForm_ne_zero", "det_traceMatrix_ne_zero'", "devosMulRel_iff", "devosMulRel_of_le_of_le", "dfinsupp_sumAddHom_mem", "diam_smul", "diam_smul\u2080", "dif_ctx_congr", "dif_neg", "dif_pos", "diffContOnCl_const", "diffToIdealOfQuotientCompEq_apply", "diff_mem_nhdsWithin_compl", "diff_mem_nhdsWithin_diff", "diff_subset_closure_iff", "difference_quotients_converge_uniformly", "differentiableAt_add_const_iff", "differentiableAt_apply", "differentiableAt_comp_neg_iff", "differentiableAt_completedZeta", "differentiableAt_const", "differentiableAt_const_sub_iff", "differentiableAt_dslope_of_ne", "differentiableAt_euclidean", "differentiableAt_fst", "differentiableAt_id", "differentiableAt_id'", "differentiableAt_iff_restrictScalars", "differentiableAt_inv", "differentiableAt_inv'", "differentiableAt_jacobiTheta", "differentiableAt_jacobiTheta\u2082_fst", "differentiableAt_jacobiTheta\u2082_snd", "differentiableAt_neg_iff", "differentiableAt_of_deriv_ne_zero", "differentiableAt_pi", "differentiableAt_snd", "differentiableAt_star_iff", "differentiableAt_sub_const_iff", "differentiableOn_apply", "differentiableOn_congr", "differentiableOn_const", "differentiableOn_const_add_iff", "differentiableOn_const_sub_iff", "differentiableOn_dslope_of_nmem", "differentiableOn_euclidean", "differentiableOn_id", "differentiableOn_inverse", "differentiableOn_neg", "differentiableOn_neg_iff", "differentiableOn_of_locally_differentiableOn", "differentiableOn_pi", "differentiableOn_pi''", "differentiableOn_star_iff", "differentiableOn_sub_const_iff", "differentiableOn_univ", "differentiableWithinAt_Ioi_iff_Ici", "differentiableWithinAt_add_const_iff", "differentiableWithinAt_apply", "differentiableWithinAt_congr_set", "differentiableWithinAt_congr_set'", "differentiableWithinAt_const", "differentiableWithinAt_const_add_iff", "differentiableWithinAt_const_sub_iff", "differentiableWithinAt_dslope_of_ne", "differentiableWithinAt_euclidean", "differentiableWithinAt_fst", "differentiableWithinAt_id", "differentiableWithinAt_iff_restrictScalars", "differentiableWithinAt_inter", "differentiableWithinAt_inter'", "differentiableWithinAt_inv", "differentiableWithinAt_inv'", "differentiableWithinAt_inverse", "differentiableWithinAt_pi", "differentiableWithinAt_pow", "differentiableWithinAt_sub_const_iff", "differentiableWithinAt_univ", "differentiable_apply", "differentiable_circleMap", "differentiable_completedZeta\u2080", "differentiable_const", "differentiable_const_add_iff", "differentiable_const_sub_iff", "differentiable_euclidean", "differentiable_id", "differentiable_id'", "differentiable_inner", "differentiable_neg_iff", "differentiable_pi", "differentiable_pi''", "differentiable_sub_const_iff", "differentiable_tsum", "differentiable_tsum'", "differentiable_within_at_localInvariantProp", "differentialIdeal_le_fractionalIdeal_iff", "differentialIdeal_le_iff", "dimH_bUnion", "dimH_coe_finset", "dimH_countable", "dimH_def", "dimH_empty", "dimH_iUnion", "dimH_image_le_of_locally_holder_on", "dimH_image_le_of_locally_lipschitzOn", "dimH_mono", "dimH_range_le_of_locally_holder_on", "dimH_range_le_of_locally_lipschitzOn", "dimH_sUnion", "dimH_subsingleton", "dimH_union", "dirSupClosed_Iic", "dirSupClosed_compl", "dirSupClosed_iff_forall_sSup", "dirSupInacc_compl", "directedOn_ge_Icc", "directedOn_ge_Ici", "directedOn_ge_Ico", "directedOn_iff_directed", "directedOn_image", "directedOn_le_Icc", "directedOn_le_Ioc", "directedOn_pair'", "directedOn_range", "directedOn_univ", "directed_comp", "directed_id", "directed_of_isDirected_le", "direction_affineSpan", "dirichletLSeries_eulerProduct", "dirichletLSeries_eulerProduct_hasProd", "discreteTopology_bot", "discreteTopology_iff_forall_isClosed", "discreteTopology_iff_isOpen_singleton_one", "discreteTopology_iff_locallyInjective", "discreteTopology_iff_nhds", "discreteTopology_iff_nhds_ne", "discreteTopology_iff_orderTopology_of_pred_succ", "discreteTopology_iff_orderTopology_of_pred_succ'", "discreteTopology_iff_singleton_mem_nhds", "discreteTopology_of_discrete_uniformity", "discreteTopology_of_isOpen_singleton_one", "discreteTopology_subtype_iff", "discrete_of_t1_of_finite", "discrim_le_zero", "discrim_le_zero_of_nonpos", "discrim_lt_zero", "discrim_lt_zero_of_neg", "discrim_neg", "disjoin_le", "disjoin_manyOneReducible", "disjoint_assoc", "disjoint_ball_ball_iff", "disjoint_ball_closedBall_iff", "disjoint_bot_left", "disjoint_bot_right", "disjoint_closedBall_ball_iff", "disjoint_closedBall_closedBall_iff", "disjoint_comm", "disjoint_compl_compl_left_iff", "disjoint_compl_compl_right_iff", "disjoint_compl_left", "disjoint_compl_left_iff", "disjoint_compl_right", "disjoint_compl_right_iff", "disjoint_disjointed", "disjoint_iSup_iff", "disjoint_iSup\u2082_iff", "disjoint_iff", "disjoint_iff_inf_le", "disjoint_interior_frontier", "disjoint_left_comm", "disjoint_lift'_closure_nhds", "disjoint_memPartition", "disjoint_nested_nhds", "disjoint_nhdsSet_nhds", "disjoint_nhdsSet_nhdsSet", "disjoint_nhdsSet_principal", "disjoint_nhdsWithin_of_mem_discrete", "disjoint_nhds_atBot_iff", "disjoint_nhds_atTop", "disjoint_nhds_atTop_iff", "disjoint_nhds_nhds", "disjoint_nhds_nhdsSet", "disjoint_nhds_nhds_iff_not_inseparable", "disjoint_nhds_pure", "disjoint_partialSups_left", "disjoint_partialSups_right", "disjoint_principal_nhdsSet", "disjoint_pure_nhds", "disjoint_right_comm", "disjoint_sSup_iff", "disjoint_sSup_left", "disjoint_sdiff_comm", "disjoint_sdiff_iff_le", "disjoint_sdiff_sdiff", "disjoint_sdiff_self_left", "disjoint_sdiff_self_right", "disjoint_self", "disjoint_sup_left", "disjoint_sup_right", "disjoint_symmDiff_inf", "disjoint_toDual_iff", "disjointed_eq_inf_compl", "disjointed_eq_inter_compl", "disjointed_le", "disjointed_le_id", "disjointed_subset", "disjointed_succ", "disjointed_unique", "disjointed_zero", "dist_add_dist_eq_iff", "dist_anti_left_pi", "dist_anti_right_pi", "dist_bdd_within_interval", "dist_birkhoffAverage_birkhoffAverage", "dist_birkhoffSum_apply_birkhoffSum", "dist_center_homothety", "dist_comm", "dist_dist_dist_le", "dist_dist_dist_le_right", "dist_div_div_le", "dist_div_div_le_of_le", "dist_div_eq_dist_mul_left", "dist_div_eq_dist_mul_right", "dist_div_left", "dist_div_norm_sq_smul", "dist_div_right", "dist_edist", "dist_eq_norm_div", "dist_eq_norm_div'", "dist_eq_norm_vsub", "dist_eq_norm_vsub'", "dist_eq_zero", "dist_homothety_center", "dist_homothety_self", "dist_inf_sup_pi", "dist_inv", "dist_inv_inv", "dist_inv_inv\u2080", "dist_le_Ico_sum_dist", "dist_le_Ico_sum_of_dist_le", "dist_le_of_approx_trajectories_ODE", "dist_le_of_approx_trajectories_ODE_of_mem", "dist_le_of_le_geometric_of_tendsto", "dist_le_of_le_geometric_of_tendsto\u2080", "dist_le_of_le_geometric_two_of_tendsto", "dist_le_of_le_geometric_two_of_tendsto\u2080", "dist_le_of_trajectories_ODE", "dist_le_of_trajectories_ODE_of_mem", "dist_le_pi_dist", "dist_le_range_sum_dist", "dist_le_range_sum_of_dist_le", "dist_le_tsum_dist_of_tendsto", "dist_le_tsum_dist_of_tendsto\u2080", "dist_le_tsum_of_dist_le_of_tendsto", "dist_le_tsum_of_dist_le_of_tendsto\u2080", "dist_le_zero", "dist_left_lineMap", "dist_left_midpoint", "dist_left_pointReflection", "dist_lineMap_left", "dist_lineMap_lineMap", "dist_lineMap_right", "dist_midpoint_left", "dist_midpoint_midpoint_le", "dist_midpoint_midpoint_le'", "dist_midpoint_right", "dist_mono_left_pi", "dist_mono_right_pi", "dist_mulIndicator", "dist_mul_left", "dist_mul_mul_le", "dist_mul_right", "dist_mul_self_left", "dist_mul_self_right", "dist_ne_zero", "dist_nndist", "dist_nonneg", "dist_nonneg'", "dist_norm_norm_le'", "dist_ofAdd", "dist_ofDual", "dist_ofMul", "dist_one_left", "dist_one_right", "dist_partial_sum", "dist_partial_sum_le_of_le_geometric", "dist_pi_const", "dist_pi_const_le", "dist_pi_def", "dist_pi_eq_iff", "dist_pi_le_iff", "dist_pi_le_iff'", "dist_pi_lt_iff", "dist_pointReflection_left", "dist_pointReflection_right", "dist_pos", "dist_prod_prod_le", "dist_prod_prod_le_of_le", "dist_prod_same_left", "dist_prod_same_right", "dist_right_lineMap", "dist_right_midpoint", "dist_right_pointReflection", "dist_self", "dist_self_div_left", "dist_self_div_right", "dist_self_homothety", "dist_self_mul_left", "dist_self_mul_right", "dist_smul_add_one_sub_smul_le", "dist_smul_le", "dist_smul_pair", "dist_smul\u2080", "dist_toMul", "dist_triangle", "dist_triangle4_left", "dist_triangle4_right", "dist_triangle_left", "dist_triangle_right", "dist_vadd_cancel_left", "dist_vadd_cancel_right", "dist_vadd_left", "dist_vadd_right", "dist_vadd_vadd_le", "dist_vsub_cancel_left", "dist_vsub_cancel_right", "dist_vsub_vsub_le", "distrib_three_right", "dite_apply", "dite_comp_equiv_update", "dite_dite_comm", "dite_dite_distrib_left", "dite_dite_distrib_right", "dite_eq_iff", "dite_eq_iff'", "dite_eq_ite", "dite_eq_left_iff", "dite_eq_or_eq", "dite_false", "dite_ite_distrib_left", "dite_lt_one", "dite_ne_left_iff", "dite_ne_right_iff", "dite_pow", "dite_prop_iff_and", "dite_prop_iff_or", "dite_true", "div_add'", "div_add_div_same", "div_add_one", "div_ball", "div_ball_one", "div_div", "div_div_cancel", "div_div_cancel_left", "div_div_cancel_left'", "div_div_div_cancel_left", "div_div_div_cancel_left'", "div_div_div_cancel_right", "div_div_div_cancel_right'", "div_div_eq_mul_div", "div_div_self", "div_eq_div_iff", "div_eq_div_iff_comm", "div_eq_div_iff_div_eq_div", "div_eq_div_iff_div_eq_div'", "div_eq_div_iff_mul_eq_mul", "div_eq_iff", "div_eq_iff_eq_mul", "div_eq_iff_eq_mul'", "div_eq_iff_mul_eq", "div_eq_inv_mul", "div_eq_inv_self", "div_eq_mul_inv", "div_eq_mul_one_div", "div_eq_of_eq_mul", "div_eq_of_eq_mul'", "div_eq_one", "div_eq_one_iff_eq", "div_eq_quo_add_rem_div_add_rem_div", "div_eq_quo_add_sum_rem_div", "div_eq_self", "div_eq_zero_iff", "div_helper", "div_inf", "div_inv_eq_mul", "div_le_comm", "div_le_comm\u2080", "div_le_div", "div_le_div''", "div_le_div_flip", "div_le_div_iff", "div_le_div_iff'", "div_le_div_iff_left", "div_le_div_iff_right", "div_le_div_left", "div_le_div_left'", "div_le_div_left\u2080", "div_le_div_of_nonneg_left", "div_le_div_of_nonneg_right", "div_le_div_of_nonpos_of_le", "div_le_div_right", "div_le_div_right'", "div_le_div_right_of_neg", "div_le_div_right\u2080", "div_le_div\u2080", "div_le_egauge_ball", "div_le_egauge_closedBall", "div_le_iff", "div_le_iff'", "div_le_iff_le_mul", "div_le_iff_le_mul'", "div_le_iff_of_neg", "div_le_iff_of_neg'", "div_le_iff\u2080", "div_le_inv_mul_iff", "div_le_of_nonneg_of_le_mul", "div_le_one", "div_le_one'", "div_le_one_iff", "div_le_one_of_ge", "div_le_one_of_le", "div_le_one_of_neg", "div_le_self", "div_le_self_iff", "div_left_inj", "div_left_inj'", "div_left_injective", "div_lt_comm", "div_lt_div", "div_lt_div''", "div_lt_div_iff", "div_lt_div_iff'", "div_lt_div_iff_left", "div_lt_div_iff_right", "div_lt_div_left", "div_lt_div_of_neg_of_lt", "div_lt_div_of_pos_left", "div_lt_div_of_pos_right", "div_lt_div_right", "div_lt_div_right'", "div_lt_div_right_of_neg", "div_lt_iff", "div_lt_iff'", "div_lt_iff_lt_mul", "div_lt_iff_of_neg", "div_lt_iff_of_neg'", "div_lt_one", "div_lt_one'", "div_lt_one_iff", "div_lt_one_of_neg", "div_lt_self", "div_lt_self_iff", "div_mabs_eq_inv_leOnePart_sq", "div_mem", "div_mul", "div_mul_cancel", "div_mul_cancel_left", "div_mul_cancel_of_imp", "div_mul_cancel_of_invertible", "div_mul_cancel_right\u2080", "div_mul_cancel\u2080", "div_mul_comm", "div_mul_div_cancel", "div_mul_div_cancel'", "div_mul_div_cancel''", "div_mul_div_comm", "div_mul_eq_div_div", "div_mul_eq_div_div_swap", "div_mul_eq_div_mul_one_div", "div_mul_eq_mul_div", "div_mul_eq_mul_div\u2080", "div_mul_le_div_mul_of_div_le_div", "div_mul_left", "div_mul_mul_cancel", "div_mul_right", "div_ne_one_of_ne", "div_ne_zero", "div_ne_zero_iff", "div_neg", "div_neg_eq_neg_div", "div_neg_iff", "div_neg_of_neg_of_pos", "div_neg_of_pos_of_neg", "div_neg_self", "div_nonneg", "div_nonneg_iff", "div_nonpos_iff", "div_nonpos_of_nonneg_of_nonpos", "div_nonpos_of_nonpos_of_nonneg", "div_one", "div_pos", "div_pos_iff", "div_pos_iff_of_pos_left", "div_pos_iff_of_pos_right", "div_pow", "div_pow_le", "div_right_comm", "div_right_inj", "div_right_injective", "div_self", "div_self'", "div_self_le_one", "div_self_mul_self", "div_self_of_invertible", "div_sq_cancel", "div_sub'", "div_sub_div", "div_sub_div_same", "div_sub_same", "div_sup", "div_two_sub_self", "div_zero", "div_zpow", "divp_assoc", "divp_assoc'", "divp_divp_eq_divp_mul", "divp_eq_div", "divp_eq_divp_iff", "divp_eq_iff_mul_eq", "divp_eq_one_iff_eq", "divp_inv", "divp_mk0", "divp_mul_cancel", "divp_mul_divp", "divp_mul_eq_mul_divp", "divp_one", "divp_self", "domain_mvt", "dot_cross_self", "dot_self_cross", "dslope_eventuallyEq_slope_of_ne", "dslope_eventuallyEq_slope_punctured_nhds", "dslope_of_ne", "dslope_same", "dslope_sub_smul", "dualTensorHomEquivOfBasis_apply", "dualTensorHomEquivOfBasis_symm_cancel_left", "dualTensorHomEquivOfBasis_symm_cancel_right", "dualTensorHomEquivOfBasis_toLinearMap", "dualTensorHom_apply", "dualTensorHom_prodMap_zero", "dual_solid", "dvdNotUnit_of_dvdNotUnit_associated", "dvdNotUnit_of_dvd_of_not_dvd", "dvd_abs", "dvd_add", "dvd_add_left", "dvd_add_right", "dvd_add_self_left", "dvd_add_self_right", "dvd_and_not_dvd_iff", "dvd_antisymm", "dvd_antisymm_of_normalize_eq", "dvd_c_of_prime_of_dvd_a_of_dvd_b_of_FLT", "dvd_cancel_left_mem_nonZeroDivisors", "dvd_cancel_right_coe_nonZeroDivisors", "dvd_cancel_right_mem_nonZeroDivisors", "dvd_coeff_zero_of_aeval_eq_prime_smul_of_minpoly_isEisensteinAt", "dvd_def", "dvd_dvd_iff_associated", "dvd_gcd_iff", "dvd_gcd_mul_iff_dvd_mul", "dvd_generator_iff", "dvd_geom_sum\u2082_iff_of_dvd_sub", "dvd_geom_sum\u2082_iff_of_dvd_sub'", "dvd_geom_sum\u2082_self", "dvd_iff_dvd_of_dvd_sub", "dvd_iff_exists_eq_mul_left", "dvd_lcm_right", "dvd_mul", "dvd_mul_gcd_iff_dvd_mul", "dvd_mul_gcd_of_dvd_mul", "dvd_mul_left", "dvd_mul_of_dvd_left", "dvd_mul_of_dvd_right", "dvd_mul_right", "dvd_mul_sub_mul", "dvd_neg", "dvd_normalize_iff", "dvd_nsmul_of_dvd", "dvd_of_mul_left_dvd", "dvd_of_one_le_padicValNat", "dvd_or_coprime", "dvd_pow", "dvd_pow_self", "dvd_prime_pow", "dvd_refl", "dvd_rfl", "dvd_sub", "dvd_sub_comm", "dvd_sub_left", "dvd_sub_pow_of_dvd_sub", "dvd_sub_right", "dvd_sub_self_left", "dvd_sub_self_right", "dvd_trans", "dvd_zero", "dvd_zsmul_of_dvd", "eVariationOn.Icc_add_Icc", "eVariationOn.add_le_union", "eVariationOn.add_point", "eVariationOn.comp_eq_of_antitoneOn", "eVariationOn.comp_eq_of_monotoneOn", "eVariationOn.comp_inter_Icc_eq_of_monotoneOn", "eVariationOn.comp_le_of_antitoneOn", "eVariationOn.comp_le_of_monotoneOn", "eVariationOn.comp_ofDual", "eVariationOn.constant_on", "eVariationOn.edist_le", "eVariationOn.eq_of_edist_zero_on", "eVariationOn.eq_of_eqOn", "eVariationOn.eq_zero_iff", "eVariationOn.lowerSemicontinuous", "eVariationOn.lowerSemicontinuous_aux", "eVariationOn.lowerSemicontinuous_uniformOn", "eVariationOn.nonempty_monotone_mem", "eVariationOn.subsingleton", "eVariationOn.sum_le", "eVariationOn.sum_le_of_monotoneOn_Icc", "eVariationOn.union", "ediam_mul_le", "ediam_smul", "ediam_smul\u2080", "edist_congr", "edist_congr_left", "edist_congr_right", "edist_dist", "edist_div_left", "edist_div_right", "edist_eq_coe_nnnorm_div", "edist_eq_zero", "edist_inv", "edist_inv_inv", "edist_le_Ico_sum_edist", "edist_le_Ico_sum_of_edist_le", "edist_le_ofReal", "edist_le_of_edist_le_geometric_of_tendsto", "edist_le_of_edist_le_geometric_of_tendsto\u2080", "edist_le_of_edist_le_geometric_two_of_tendsto", "edist_le_of_edist_le_geometric_two_of_tendsto\u2080", "edist_le_pi_edist", "edist_le_range_sum_edist", "edist_le_range_sum_of_edist_le", "edist_le_tsum_of_edist_le_of_tendsto", "edist_le_zero", "edist_lt_ofReal", "edist_lt_top", "edist_mem_uniformity", "edist_mulIndicator", "edist_mul_left", "edist_mul_mul_le", "edist_naturalParameterization_eq_zero", "edist_ne_top", "edist_ne_top_of_mem_ball", "edist_nndist", "edist_ofAdd", "edist_ofDual", "edist_pi_const", "edist_pi_const_le", "edist_pi_def", "edist_pi_le_iff", "edist_smul_le", "edist_smul_left", "edist_smul\u2080", "edist_toAdd", "edist_toMul", "edist_triangle_left", "edist_triangle_right", "edist_vadd_vadd_le", "edist_vsub_vsub_le", "egauge_anti", "egauge_ball_le_of_one_lt_norm", "egauge_ball_one_le_of_one_lt_norm", "egauge_eq_top", "egauge_le_of_mem_smul", "egauge_le_of_smul_mem", "egauge_le_of_smul_mem_of_ne", "egauge_le_one", "egauge_lt_iff", "egauge_smul_left", "egauge_smul_right", "egauge_zero_left_eq_top", "egauge_zero_right", "egauge_zero_zero", "eigenvalue_mem_ball", "eigenvalue_nonneg_of_nonneg", "eigenvalue_pos_of_pos", "element_smul_restrictScalars", "elementalStarAlgebra.bijective_characterSpaceToSpectrum", "elementalStarAlgebra.closedEmbedding_coe", "elementalStarAlgebra.continuous_characterSpaceToSpectrum", "elementalStarAlgebra.induction_on", "elementalStarAlgebra.isClosed", "elementalStarAlgebra.isUnit_of_isUnit_of_isStarNormal", "elementalStarAlgebra.le_of_isClosed_of_mem", "elementalStarAlgebra.self_mem", "elementalStarAlgebra.starAlgHomClass_ext", "elementalStarAlgebra.star_self_mem", "embedding_id", "embedding_iff_embedding_of_iSup_eq_top", "embedding_iff_inducing", "embedding_inclusion", "embedding_inl", "embedding_inr", "embedding_of_embedding_compose", "embedding_prod_mk", "embedding_sigmaMk", "embedding_sigma_map", "embedding_subtype_val", "embedding_toPullbackDiag", "embedding_uLift_down", "empty_relation_apply", "entry_norm_bound_of_unitary", "entrywise_sup_norm_bound_of_unitary", "eqOn_closure\u2082", "eqOn_closure\u2082'", "eqOn_dslope_sub_smul", "eqOn_of_cfc_eq_cfc", "eqOn_of_cfc\u2099_eq_cfc\u2099", "eqRec_eq_cast", "eq_Icc_csInf_csSup_of_connected_bdd_closed", "eq_affineCombination_of_mem_affineSpan", "eq_affineCombination_of_mem_affineSpan_of_fintype", "eq_algebraMap_of_spectrum_subset_singleton", "eq_borel_upgradeStandardBorel", "eq_bot_iff", "eq_bot_mono", "eq_bot_of_bot_eq_top", "eq_bot_of_generator_maximal_map_eq_zero", "eq_bot_of_generator_maximal_submoduleImage_eq_zero", "eq_bot_of_isCompl_top", "eq_bot_of_singletons_open", "eq_bot_or_eq_succ_or_isWellOrderLimitElement", "eq_comm", "eq_compl_comm", "eq_compl_iff_isCompl", "eq_const_of_subsingleton", "eq_const_of_unique", "eq_cosets_of_normal", "eq_div_iff", "eq_div_iff_mul_eq", "eq_div_iff_mul_eq'", "eq_div_iff_mul_eq''", "eq_div_of_mul_eq", "eq_div_of_mul_eq'", "eq_divp_iff_mul_eq", "eq_empty_or_univ_of_smul_invariant_closed", "eq_empty_relation", "eq_equivalence", "eq_false_intro", "eq_finite_iUnion_of_isTopologicalBasis_of_isCompact_open", "eq_if_preStoneCechUnit_eq", "eq_iff_atom_le_iff", "eq_iff_eq_cancel_left", "eq_iff_eq_cancel_right", "eq_iff_eq_of_cmp_eq_cmp", "eq_iff_eq_of_div_eq_div", "eq_iff_eq_of_lt_iff_lt_of_gt_iff_gt", "eq_iff_eq_of_mul_eq_mul", "eq_iff_iff", "eq_iff_le_not_lt", "eq_iff_not_lt_of_le", "eq_iff_true_of_subsingleton", "eq_imp_of_iff_imp", "eq_intCast", "eq_inv_mul_iff_mul_eq", "eq_inv_mul_iff_mul_eq\u2080", "eq_inv_mul_of_mul_eq", "eq_inv_of_mul_eq_one_left", "eq_inv_smul_iff", "eq_inv_smul_iff\u2080", "eq_irreducibleComponent", "eq_ite_iff", "eq_lim_at_left_extendFrom_Ioo", "eq_lim_at_right_extendFrom_Ioo", "eq_lineMap_of_dist_eq_mul_of_dist_eq_mul", "eq_max", "eq_midpoint_of_dist_eq_half", "eq_mp_bijective", "eq_mpr_bijective", "eq_mpr_eq_cast", "eq_mul_inv_iff_mul_eq", "eq_mul_inv_iff_mul_eq\u2080", "eq_mul_inv_of_mul_eq", "eq_mul_of_div_eq", "eq_mul_of_div_eq'", "eq_mul_of_hasProd_ite", "eq_mul_of_mul_inv_eq", "eq_mul_of_mul_inv_eq\u2080", "eq_natCast'", "eq_neg_self_iff", "eq_of_abs_sub_eq_zero", "eq_of_abs_sub_nonpos", "eq_of_derivWithin_eq", "eq_of_dist_eq_zero", "eq_of_div_eq_one", "eq_of_eqv_lt", "eq_of_fderiv_eq", "eq_of_forall_dist_le", "eq_of_forall_dvd'", "eq_of_forall_edist_le", "eq_of_forall_ge_iff", "eq_of_forall_le_iff", "eq_of_forall_lt_iff", "eq_of_forall_lt_rat_iff_lt", "eq_of_germ_isConstant", "eq_of_germ_isConstant_on", "eq_of_hammingDist_eq_zero", "eq_of_has_deriv_right_eq", "eq_of_heq", "eq_of_incomp", "eq_of_inf_eq_sup_eq", "eq_of_le_of_inf_le_of_le_sup", "eq_of_le_of_inf_le_of_sup_le", "eq_of_le_of_not_lt", "eq_of_linearIndependent_of_span_subtype", "eq_of_mem_maximals", "eq_of_mem_minimals", "eq_of_mul_inv_eq_one", "eq_of_nhds_neBot", "eq_of_nndist_eq_zero", "eq_of_norm_div_le_zero", "eq_of_norm_le_re_inner_eq_norm_sq", "eq_of_one_div_eq_one_div", "eq_of_prime_pow_eq", "eq_of_prime_pow_eq'", "eq_of_slope_eq_zero", "eq_of_subset_of_not_ssubset", "eq_of_superset_of_not_ssuperset", "eq_of_tendsto_nhds", "eq_of_uniformity", "eq_of_vsub_eq_zero", "eq_of_zero_eq_one", "eq_on_inv", "eq_on_inv\u2080", "eq_one_div_of_mul_eq_one_left", "eq_one_div_of_mul_eq_one_right", "eq_one_iff_eq_one_of_mul_eq_one", "eq_one_of_mul_le_one_left", "eq_one_of_mul_right", "eq_one_of_one_le_mul_right", "eq_one_of_spectrum_subset_one", "eq_one_or_one_lt", "eq_open_union_countable", "eq_or_eq_inv_of_mabs_eq", "eq_or_eq_neg_of_sq_eq_sq", "eq_or_eq_or_eq_of_forall_not_lt_lt", "eq_or_gt_of_le", "eq_or_lt_of_le", "eq_or_ne", "eq_or_ssubset_of_subset", "eq_orthogonalProjectionFn_of_mem_of_inner_eq_zero", "eq_orthogonalProjection_of_eq_submodule", "eq_orthogonalProjection_of_mem_of_inner_eq_zero", "eq_orthogonalProjection_of_mem_orthogonal", "eq_orthogonalProjection_of_mem_orthogonal'", "eq_pos_convex_span_of_mem_convexHull", "eq_ratCast", "eq_rec_compose", "eq_rec_constant", "eq_rec_inj", "eq_sUnion_finset_of_isTopologicalBasis_of_isCompact_open", "eq_self_iff_true", "eq_separableClosure", "eq_singleton_bot_of_sSup_eq_bot_of_nonempty", "eq_singleton_top_of_sInf_eq_top_of_nonempty", "eq_star_iff_eq_star", "eq_top_iff", "eq_top_mono", "eq_top_of_bot_eq_top", "eq_top_of_bot_isCompl", "eq_top_of_isCompl_bot", "eq_top_or_lt_top", "eq_true", "eq_tsub_iff_add_eq_of_le", "eq_tsub_of_add_eq", "eq_vadd_iff_vsub_eq", "eq_wittStructureInt", "eq_zero_of_localization", "eq_zero_of_mul_eq_self_left", "eq_zero_of_mul_eq_self_right", "eq_zero_of_mul_self_add_mul_self_eq_zero", "eq_zero_of_mul_self_eq_zero", "eq_zero_of_ne_zero_of_mul_left_eq_zero", "eq_zero_of_ne_zero_of_mul_right_eq_zero", "eq_zero_of_nilpotencyClass_eq_one", "eq_zero_of_one_div_eq_zero", "eq_zero_of_quasispectrum_eq_zero", "eq_zero_of_sameRay_neg_smul_right", "eq_zero_of_sameRay_self_neg", "eq_zero_of_spectrum_subset_zero", "eq_zero_of_zero_eq_one", "eq_zero_of_zpow_eq_zero", "eq_zero_or_locallyCompactSpace_of_support_subset_isCompact_of_group", "eq_zero_or_neZero", "eq_zero_or_one_of_sq_eq_self", "equalizerCondition_yonedaPresheaf", "equicontinuousAt_empty", "equicontinuousAt_finite", "equicontinuousAt_iInf_dom", "equicontinuousAt_iInf_rng", "equicontinuousAt_iff_continuousAt", "equicontinuousAt_iff_pair", "equicontinuousAt_iff_range", "equicontinuousAt_restrict_iff", "equicontinuousOn_finite", "equicontinuousOn_iInf_dom", "equicontinuousOn_iInf_rng", "equicontinuousOn_iff_continuousOn", "equicontinuousOn_iff_range", "equicontinuousOn_unique", "equicontinuousOn_univ", "equicontinuousWithinAt_empty", "equicontinuousWithinAt_finite", "equicontinuousWithinAt_iInf_dom", "equicontinuousWithinAt_iInf_rng", "equicontinuousWithinAt_iff_continuousWithinAt", "equicontinuousWithinAt_iff_pair", "equicontinuousWithinAt_iff_range", "equicontinuousWithinAt_unique", "equicontinuousWithinAt_univ", "equicontinuous_empty", "equicontinuous_finite", "equicontinuous_iInf_dom", "equicontinuous_iInf_rng", "equicontinuous_iff_continuous", "equicontinuous_iff_range", "equicontinuous_of_equicontinuousAt_one", "equicontinuous_restrict_iff", "equivEquivIso_hom", "equivEquivIso_inv", "equivShrink_div", "equivShrink_inv", "equivShrink_neg", "equivShrink_sub", "equivShrink_symm_add", "equivShrink_symm_inv", "equivShrink_symm_mul", "equivShrink_symm_one", "equiv_lpPiLp_norm", "equivalence_of_oneOneEquiv", "eqv_lt_iff_eq", "erase_eq_iff", "essInf_antitone_measure", "essInf_congr_ae", "essInf_const'", "essInf_eq_sSup", "essInf_mono_ae", "essSup_comp_le_essSup_map_measure", "essSup_comp_quotientGroup_mk", "essSup_const", "essSup_const'", "essSup_const_bot", "essSup_eq_sInf", "essSup_le_of_ae_le", "essSup_map_measure", "essSup_map_measure_of_measurable", "essSup_measure_zero", "essSup_mono_measure", "essSup_smul_measure", "eval_minpolyDiv_of_aeval_eq_zero", "eval_minpolyDiv_self", "eval_soln", "eval\u2082_minpolyDiv_of_eval\u2082_eq_zero", "eval\u2082_minpolyDiv_self", "even_bit0", "even_iff_exists_two_mul", "even_iff_two_dvd", "even_neg_two", "even_ofMul_iff", "even_toAdd_iff", "even_two", "even_two_mul", "eventuallyConst_of_isNoetherian", "eventuallyEq_nhdsWithin_iff", "eventuallyEq_prod", "eventuallyEq_zero_nhds", "eventually_abs_sub_lt", "eventually_closedBall_subset", "eventually_closure_subset_of_isCompact_absorbing_of_isOpen_of_omegaLimit_subset", "eventually_closure_subset_of_isCompact_absorbing_of_isOpen_of_omegaLimit_subset'", "eventually_closure_subset_of_isOpen_of_omegaLimit_subset", "eventually_cobounded_le_norm'", "eventually_countable_ball", "eventually_countable_forall", "eventually_eventuallyEq_nhds", "eventually_ge_of_tendsto_gt", "eventually_gt_nhds", "eventually_gt_of_tendsto_gt", "eventually_homothety_image_subset_of_finite_subset_interior", "eventually_homothety_mem_of_mem_interior", "eventually_le_limsup", "eventually_le_nhds", "eventually_le_of_tendsto_lt", "eventually_liminf_le", "eventually_lt_of_tendsto_lt", "eventually_mapsTo_of_isCompact_absorbing_of_isOpen_of_omegaLimit_subset", "eventually_mapsTo_of_isOpen_of_omegaLimit_subset", "eventually_mem_nhdsWithin", "eventually_mem_of_tendsto_nhdsWithin", "eventually_ne_nhds", "eventually_ne_nhdsWithin", "eventually_nhdsSet_iUnion", "eventually_nhdsSet_iUnion\u2082", "eventually_nhdsSet_iff_forall", "eventually_nhdsWithin_iff", "eventually_nhdsWithin_nhdsWithin", "eventually_nhdsWithin_of_eventually_nhds", "eventually_nhdsWithin_of_forall", "eventually_nhdsWithin_pos_mul_left", "eventually_nhds_iff", "eventually_nhds_norm_smul_sub_lt", "eventually_nhds_subtype_iff", "eventually_norm_pow_le", "eventually_norm_sub_lt", "eventually_residual", "eventually_residual_liouville", "eventually_singleton_add_smul_subset", "eventually_uniformity_comp_subset", "eventually_uniformity_iterate_comp_subset", "ex_of_psig", "exist_unique_eq_mul_prod", "existsUnique_add_zsmul_mem_Ico", "existsUnique_add_zsmul_mem_Ioc", "existsUnique_congr", "existsUnique_sub_zsmul_mem_Ico", "existsUnique_sub_zsmul_mem_Ioc", "existsUnique_zsmul_near_of_pos", "existsUnique_zsmul_near_of_pos'", "exists_Icc_mem_subset_of_mem_nhds", "exists_Icc_mem_subset_of_mem_nhdsWithin_Ici", "exists_Icc_mem_subset_of_mem_nhdsWithin_Iic", "exists_Ico_subset_of_mem_nhds", "exists_Ico_subset_of_mem_nhds'", "exists_Ioc_subset_of_mem_nhds", "exists_Ioo_extr_on_Icc", "exists_add_lt_and_pos_of_lt", "exists_add_pow_prime_eq", "exists_add_pow_prime_pow_eq", "exists_affineIndependent", "exists_and_left", "exists_and_right", "exists_apply_eq", "exists_apply_eq_apply'", "exists_apply_eq_apply2", "exists_apply_eq_apply2'", "exists_apply_eq_apply3", "exists_apply_eq_apply3'", "exists_associated_mem_of_dvd_prod", "exists_associated_pow_of_mul_eq_pow", "exists_associated_pow_of_mul_eq_pow'", "exists_between", "exists_between_of_forall_le", "exists_birkhoff_representation", "exists_borelSpace_of_countablyGenerated_of_separatesPoints", "exists_bounded_mem_Icc_of_closed_of_le", "exists_closed_cover_approximatesLinearOn_of_hasFDerivWithinAt", "exists_closed_nhds_one_inv_eq_mul_subset", "exists_clusterPt_of_compactSpace", "exists_comm", "exists_compact_closed_between", "exists_compact_iff_hasCompactMulSupport", "exists_compact_subset", "exists_compact_superset", "exists_compact_surjective_zorn_subset", "exists_congr", "exists_const", "exists_contMDiffOn_forall_mem_convex_of_local", "exists_continuous_forall_mem_convex_of_local", "exists_continuous_forall_mem_convex_of_local_const", "exists_continuous_nonneg_pos", "exists_continuous_one_zero_of_isCompact", "exists_continuous_one_zero_of_isCompact_of_isG\u03b4", "exists_continuous_zero_one_of_isClosed", "exists_continuous_zero_one_of_isCompact", "exists_convex_convex_compl_subset", "exists_countable_dense_no_bot_top", "exists_countable_separating", "exists_countable_union_perfect_of_isClosed", "exists_deriv_eq_slope", "exists_deriv_eq_zero", "exists_deriv_eq_zero'", "exists_disjoint_smul_of_isCompact", "exists_dist_eq", "exists_dist_le_le", "exists_dist_le_lt", "exists_dist_lt_le", "exists_dist_lt_lt", "exists_dual_vector", "exists_dual_vector'", "exists_dual_vector''", "exists_dvd_and_dvd_of_dvd_mul", "exists_embedding_euclidean_of_compact", "exists_eq'", "exists_eq_ciInf_of_not_isPredLimit", "exists_eq_ciSup_of_not_isSuccLimit", "exists_eq_ciSup_of_not_isSuccLimit'", "exists_eq_iInf_of_not_isPredLimit", "exists_eq_iSup_of_not_isSuccLimit", "exists_eq_left", "exists_eq_left'", "exists_eq_mul_left_of_dvd", "exists_eq_pow_of_mul_eq_pow", "exists_eq_pow_of_mul_eq_pow_of_coprime", "exists_eq_right", "exists_eq_right'", "exists_eq_subtype_mk_iff", "exists_exists_and_eq_and", "exists_exists_and_exists_and_eq_and", "exists_exists_eq_and", "exists_extension_norm_eq", "exists_extension_of_le_sublinear", "exists_false", "exists_finite_card_le_of_finite_of_linearIndependent_of_span", "exists_finset_linearIndependent_of_le_finrank", "exists_finset_linearIndependent_of_le_rank", "exists_finset_piecewise_mem_of_mem_nhds", "exists_floor", "exists_forall_closed_ball_dist_add_le_two_mul_sub", "exists_forall_closed_ball_dist_add_le_two_sub", "exists_forall_ge_and", "exists_forall_hasDerivAt_Ioo_eq_of_contDiff", "exists_forall_hasDerivAt_Ioo_eq_of_contDiffAt", "exists_forall_sphere_dist_add_le_two_sub", "exists_gcd_eq_mul_add_mul", "exists_ge_and_iff_exists", "exists_ge_ge", "exists_hasDerivAt_eq_slope", "exists_hasDerivAt_eq_zero", "exists_hasDerivWithinAt_eq_of_ge_of_le", "exists_hasDerivWithinAt_eq_of_gt_of_lt", "exists_hasDerivWithinAt_eq_of_le_of_ge", "exists_hilbertBasis", "exists_homeomorph_image_eq", "exists_homeomorph_image_interior_closure_frontier_eq_unitBall", "exists_iUnion_ball_eq_radius_pos_lt", "exists_iUnion_eq_closed_subset", "exists_idempotent_in_compact_subsemigroup", "exists_idempotent_of_compact_t2_of_continuous_mul_left", "exists_iff_of_forall", "exists_imp", "exists_increasing_or_nonincreasing_subseq", "exists_increasing_or_nonincreasing_subseq'", "exists_infIrred_decomposition", "exists_int_gt", "exists_int_lt", "exists_integer_of_is_root_of_monic", "exists_integral_multiple", "exists_integral_multiples", "exists_inv_mem_iff_exists_mem", "exists_isClopen_lower_of_not_le", "exists_isClopen_of_totally_separated", "exists_isClopen_upper_of_not_le", "exists_isClopen_upper_or_lower_of_ne", "exists_isCompact_isClosed_nhds_one", "exists_isCompact_isClosed_subset_isCompact_nhds_one", "exists_isCompact_superset_iff", "exists_isExtrOn_Ioo_of_tendsto", "exists_isIntegralCurveAt_of_contMDiffAt", "exists_isLocalExtr_Ioo_of_tendsto", "exists_isOpen_mem_isCompact_closure", "exists_isOpen_singleton_of_isOpen_finite", "exists_isOpen_superset_and_isCompact_closure", "exists_isOpen_xor'_mem", "exists_isPicardLindelof_const_of_contDiffAt", "exists_isTranscendenceBasis", "exists_le_and_iff_exists", "exists_le_isAssociatedPrime_of_isNoetherianRing", "exists_le_le", "exists_le_mul_self", "exists_linearIndependent", "exists_linearIndependent_cons_of_lt_rank", "exists_linearIndependent_extension", "exists_linearIndependent_of_le_rank", "exists_linearIndependent_of_lt_rank", "exists_linearIndependent_pair_of_one_lt_finrank", "exists_linearIndependent_pair_of_one_lt_rank", "exists_linearIndependent_snoc_of_lt_finrank", "exists_linearIndependent_snoc_of_lt_rank", "exists_locallyFinite_subset_iUnion_ball_radius_lt", "exists_lt_ack_of_nat_primrec", "exists_lt_mem_inter_of_not_pairwise_disjoint", "exists_lt_mul_self", "exists_lt_of_csInf_lt", "exists_lt_of_directed_ge", "exists_lt_of_gauge_lt", "exists_lt_of_lt_ciSup", "exists_lt_of_lt_ciSup'", "exists_lt_of_lt_csSup", "exists_lt_rieszContentAux_add_pos", "exists_lt_subset_ball", "exists_lub_Iio", "exists_max_ideal_of_mem_nonunits", "exists_maximalIdeal_pow_eq_of_principal", "exists_maximal_algebraicIndependent", "exists_maximal_independent", "exists_maximal_independent'", "exists_maximal_of_chains_bounded", "exists_maximal_orthonormal", "exists_measurable_piecewise", "exists_mem_Ico_zpow", "exists_mem_Ioc_zpow", "exists_mem_frontier_infDist_compl_eq_dist", "exists_mem_nhdsSet_isCompact_mapsTo", "exists_mem_nhdsWithin_lt_dimH_of_lt_dimH", "exists_mem_nhds_ball_subset_of_mem_nhds", "exists_mem_nhds_isClosed_subset", "exists_mem_nhds_isCompact_isClosed", "exists_mem_nhds_isCompact_mapsTo_of_isCompact_mem_nhds", "exists_mem_of_exists", "exists_mem_or", "exists_mem_or_left", "exists_monotone_Icc_subset_open_cover_Icc", "exists_monotone_Icc_subset_open_cover_unitInterval", "exists_monotone_Icc_subset_open_cover_unitInterval_prod_self", "exists_msmooth_support_eq_eq_one_iff", "exists_msmooth_zero_iff_one_iff_of_isClosed", "exists_multiset_prod_cons_le_and_prod_not_le", "exists_nat_ge", "exists_nat_gt", "exists_nat_nat_continuous_surjective_of_completeSpace", "exists_nat_one_div_lt", "exists_nat_pow_near", "exists_nat_pow_near_of_lt_one", "exists_ne", "exists_nhds_disjoint_closure", "exists_nhds_ne_neBot", "exists_nhds_one_split", "exists_nhds_one_split4", "exists_nhds_split_inv", "exists_nhds_square", "exists_nonempty_countable_separating", "exists_nonneg_right_iff_sameRay", "exists_nontrivial_relation_sum_zero_of_not_affine_ind", "exists_norm_eq", "exists_norm_eq_iInf_of_complete_convex", "exists_norm_eq_iInf_of_complete_subspace", "exists_norm_le_le_norm_sub_of_finset", "exists_norm_le_of_cauchySeq", "exists_of_exists_mem", "exists_of_linearIndependent_of_finite_span", "exists_of_schnirelmannDensity_eq_zero", "exists_one_lt_mul_of_lt", "exists_one_lt_mul_of_lt'", "exists_open_between_and_isCompact_closure", "exists_open_nhds_disjoint_closure", "exists_open_nhds_one_split", "exists_open_set_nhds", "exists_open_singleton_of_finite", "exists_opensMeasurableSpace_of_countablySeparated", "exists_or", "exists_or_eq_left", "exists_or_eq_left'", "exists_or_eq_right'", "exists_ord_compl_eq_one_iff_isPrimePow", "exists_orderOf_eq_prime_pow_iff", "exists_orthonormalBasis", "exists_partition_approximatesLinearOn_of_hasFDerivWithinAt", "exists_perfect_nonempty_of_isClosed_of_not_countable", "exists_polynomial_near_continuousMap", "exists_polynomial_near_of_continuousOn", "exists_pos_bound_of_bound", "exists_pos_left_iff_sameRay_and_ne_zero", "exists_pos_lt_mul", "exists_pos_lt_subset_ball", "exists_pos_mul_lt", "exists_pos_rat_lt", "exists_pos_right_iff_sameRay", "exists_pos_right_iff_sameRay_and_ne_zero", "exists_pow_eq_one_of_zpow_eq_one", "exists_pow_eq_self_of_coprime", "exists_pow_lt_of_lt_one", "exists_pow_ne_one_of_isCyclic", "exists_pred_iterate_iff_le", "exists_prime_addOrderOf_dvd_card", "exists_prime_orderOf_dvd_card", "exists_prop", "exists_prop_congr", "exists_prop_of_true", "exists_rat_btwn", "exists_rat_gt", "exists_rat_lt", "exists_rat_near", "exists_ratio_deriv_eq_ratio_slope", "exists_ratio_deriv_eq_ratio_slope'", "exists_ratio_hasDerivAt_eq_ratio_slope", "exists_ratio_hasDerivAt_eq_ratio_slope'", "exists_reduced_fraction'", "exists_root_adjoin_eq_top_of_isCyclic", "exists_sUnion", "exists_seq_norm_le_one_le_norm_sub", "exists_seq_norm_le_one_le_norm_sub'", "exists_seq_of_forall_finset_exists", "exists_seq_of_forall_finset_exists'", "exists_seq_separating", "exists_seq_strictAnti_strictMono_tendsto", "exists_seq_strictAnti_tendsto", "exists_seq_strictAnti_tendsto'", "exists_seq_strictMono_tendsto", "exists_seq_strictMono_tendsto'", "exists_seq_strictMono_tendsto_nhdsWithin", "exists_seq_tendsto_sSup", "exists_setIndependent_isCompl_sSup_atoms", "exists_setIndependent_of_sSup_atoms_eq_top", "exists_set_linearIndependent_of_isDomain", "exists_set_linearIndependent_of_lt_rank", "exists_signed_sum'", "exists_signed_sum_aux", "exists_smooth_forall_mem_convex_of_local_const", "exists_smooth_one_nhds_of_subset_interior", "exists_smooth_tsupport_subset", "exists_smooth_zero_one_nhds_of_isClosed", "exists_smooth_zero_one_of_isClosed", "exists_smul_eq_of_finrank_eq_one", "exists_smul_not_mem_of_rank_lt", "exists_smul_not_mem_of_subset_orbit_closure", "exists_spanning_measurableSet_le", "exists_square_le", "exists_square_le'", "exists_squarefree_dvd_pow_of_ne_zero", "exists_stronglyMeasurable_limit_of_tendsto_ae", "exists_subalgebra_of_fg", "exists_subset_affineIndependent_affineSpan_eq_top", "exists_subset_iUnion_ball_radius_lt", "exists_subset_iUnion_ball_radius_pos_lt", "exists_subset_iUnion_closed_subset", "exists_subset_iUnion_closure_subset", "exists_subset_nhds_of_compactSpace", "exists_subset_nhds_of_isCompact", "exists_subset_nhds_of_isCompact'", "exists_subtype_mk_eq_iff", "exists_succ_iterate_iff_le", "exists_succ_iterate_or", "exists_sum_eq_one_iff_pairwise_coprime", "exists_sum_eq_one_iff_pairwise_coprime'", "exists_supIrred_decomposition", "exists_surjective_nat", "exists_swap", "exists_taylor_mean_remainder_bound", "exists_true_iff_nonempty", "exists_true_left", "exists_unique_const", "exists_unique_eq", "exists_unique_eq'", "exists_unique_false", "exists_unique_of_exists_of_unique", "exists_unique_prop_of_true", "exists_zpow_eq_one", "exists\u2082_comm", "exists\u2082_congr", "exists\u2082_imp", "expChar_is_prime_or_one", "expChar_of_injective_algebraMap", "expChar_of_injective_ringHom", "expChar_one_of_char_zero", "expChar_pos", "expChar_pow_pos", "expMapCircle_add", "expMapCircle_add_two_pi", "expMapCircle_apply", "expMapCircle_arg", "expMapCircle_eq_expMapCircle", "expMapCircle_neg", "expMapCircle_two_pi", "expMapCircle_zero", "expNegInvGlue.contDiff", "expNegInvGlue.contDiff_polynomial_eval_inv_mul", "expNegInvGlue.continuous_polynomial_eval_inv_mul", "expNegInvGlue.differentiable_polynomial_eval_inv_mul", "expNegInvGlue.hasDerivAt_polynomial_eval_inv_mul", "expNegInvGlue.nonneg", "expNegInvGlue.pos_of_pos", "expNegInvGlue.tendsto_polynomial_inv_mul_zero", "expNegInvGlue.zero", "expNegInvGlue.zero_iff_nonpos", "expNegInvGlue.zero_of_nonpos", "exp_neg_integrableOn_Ioi", "exp_neg_mul_rpow_isLittleO_exp_neg", "exp_neg_mul_sq_isLittleO_exp_neg", "exposedPoints_empty", "exposedPoints_subset", "extChartAt_image_nhd_mem_nhds_of_boundaryless", "extChartAt_model_space_eq_id", "extChartAt_preimage_inter_eq", "extChartAt_preimage_mem_nhds", "extChartAt_preimage_mem_nhds'", "extChartAt_preimage_mem_nhdsWithin'", "extChartAt_prod", "extChartAt_source", "extChartAt_source_mem_nhds", "extChartAt_source_mem_nhds'", "extChartAt_source_mem_nhdsWithin", "extChartAt_source_mem_nhdsWithin'", "extChartAt_target", "extChartAt_target_mem_nhds", "extChartAt_target_mem_nhds'", "extChartAt_target_mem_nhdsWithin", "extChartAt_target_subset_range", "extChartAt_to_inv", "ext_inner_left", "ext_inner_map", "ext_inner_right", "ext_nat'", "ext_nat''", "extendFrom_eq", "extend_partialOrder", "extensional_of_trichotomous_of_irrefl", "extentClosure_empty", "extentClosure_iUnion", "extentClosure_iUnion\u2082", "extentClosure_intentClosure_extentClosure", "extentClosure_swap", "exterior_def", "exterior_eq_empty", "exterior_exterior", "exterior_mem_nhdsSet", "exterior_minimal", "exterior_mono", "exterior_singleton_eq_ker_nhds", "exterior_subset_exterior", "exterior_subset_iff", "exterior_subset_iff_isOpen", "exterior_subset_iff_mem_nhdsSet", "exterior_union", "exterior_univ", "extract_gcd", "extremePoints_convexHull_subset", "extremePoints_empty", "extremePoints_pi", "extremePoints_prod", "extremePoints_singleton", "extremePoints_subset", "fact_iff", "factorThruImageSubobject_comp_imageToKernel", "factor_orderIso_map_one_eq_bot", "factorial_mul_ascPochhammer", "factorization_mul", "factorization_pow", "factorization_zero", "factorsThrough_of_gaussSum_ne_zero", "factorsThrough_of_pullbackCondition", "false_and", "false_and_iff", "false_eq_decide_iff", "false_iff", "false_imp_iff", "false_of_nontrivial_of_product_domain", "false_or", "false_or_iff", "fastJacobiSym.eq", "fastJacobiSymAux.eq_jacobiSym", "fastLegendreSym.eq", "fderiv.comp", "fderiv.comp_deriv", "fderiv.log", "fderiv.snd", "fderivInnerCLM_apply", "fderivWithin.comp", "fderivWithin.comp_derivWithin_of_eq", "fderivWithin.comp\u2083", "fderivWithin.fst", "fderivWithin.log", "fderivWithin.snd", "fderivWithin_add_const", "fderivWithin_arctan", "fderivWithin_ccos", "fderivWithin_ccosh", "fderivWithin_congr", "fderivWithin_congr_set'", "fderivWithin_const_add", "fderivWithin_const_apply", "fderivWithin_const_smul", "fderivWithin_const_sub", "fderivWithin_continuousLinearEquiv_comp", "fderivWithin_continuousMultilinear_apply_const", "fderivWithin_continuousMultilinear_apply_const_apply", "fderivWithin_csinh", "fderivWithin_eq_fderiv", "fderivWithin_eventually_congr_set", "fderivWithin_eventually_congr_set'", "fderivWithin_exp", "fderivWithin_fderivWithin", "fderivWithin_finset_prod", "fderivWithin_fst", "fderivWithin_id", "fderivWithin_inter", "fderivWithin_inv", "fderivWithin_inv'", "fderivWithin_iteratedFDerivWithin", "fderivWithin_mem_iff", "fderivWithin_mul", "fderivWithin_mul_const", "fderivWithin_mul_const'", "fderivWithin_neg", "fderivWithin_of_isOpen", "fderivWithin_of_mem", "fderivWithin_of_mem_nhds", "fderivWithin_sin", "fderivWithin_sinh", "fderivWithin_sub", "fderivWithin_sub_const", "fderivWithin_sum", "fderivWithin_univ", "fderivWithin_zero_of_isolated", "fderivWithin_zero_of_nmem_closure", "fderivWithin_zero_of_not_differentiableWithinAt", "fderiv_add", "fderiv_add_const", "fderiv_arctan", "fderiv_ccosh", "fderiv_clm_apply", "fderiv_clm_comp", "fderiv_const", "fderiv_const_add", "fderiv_const_apply", "fderiv_const_smul", "fderiv_const_sub", "fderiv_continuousLinearEquiv_comp", "fderiv_continuousLinearEquiv_comp'", "fderiv_continuousMultilinear_apply_const", "fderiv_cos", "fderiv_cosh", "fderiv_csin", "fderiv_deriv", "fderiv_eq", "fderiv_finset_prod", "fderiv_id", "fderiv_inv", "fderiv_inverse", "fderiv_iteratedFDeriv", "fderiv_mem_iff", "fderiv_mul", "fderiv_mul'", "fderiv_mul_const'", "fderiv_neg", "fderiv_norm_rpow", "fderiv_of_not_mem_tsupport", "fderiv_single", "fderiv_sinh", "fderiv_smul", "fderiv_smul_const", "fderiv_snd", "fderiv_sqrt", "fderiv_star", "fderiv_sub_const", "fderiv_sum", "fderiv_zero_of_not_differentiableAt", "fdifferential_comp", "fermatLastTheoremFor_iff_int", "fermatLastTheoremFor_iff_nat", "fermatLastTheoremFor_iff_rat", "fermatLastTheoremFor_zero", "fermatLastTheoremFour", "fermatLastTheoremThree_case_1", "fermatLastTheoremThree_of_dvd_a_of_gcd_eq_one_of_case2", "fermatLastTheoremThree_of_three_dvd_only_c", "fermatLastTheoremWith_nat_int_rat_tfae", "fermatLastTheoremWith_of_fermatLastTheoremWith_coprime", "fg_adjoin_of_finite", "fg_of_fg_of_fg", "fibRec_charPoly_eq", "fib_golden_conj_exp", "fib_golden_exp'", "fib_isSol_fibRec", "filter_collapse_eq", "finAddFlip_apply_castAdd", "finAddFlip_apply_mk_right", "finAddFlip_apply_natAdd", "finBddDistLat_dual_comp_forget_to_bddDistLat", "finBoolAlg_dual_comp_forget_to_finBddDistLat", "finCongr_apply_coe", "finCongr_symm", "finCongr_symm_apply_coe", "finEquivPowers_apply", "finEquivPowers_symm_apply", "finEquivZPowers_apply", "finEquivZPowers_symm_apply", "finFunctionFinEquiv_apply", "finFunctionFinEquiv_single", "finPiFinEquiv_apply", "finPiFinEquiv_single", "finRotate_last", "finRotate_last'", "finRotate_of_lt", "finRotate_one", "finRotate_succ", "finRotate_succ_apply", "finRotate_succ_eq_decomposeFin", "finRotate_zero", "finSuccAboveEquiv_symm_apply_last", "finSuccAboveEquiv_symm_apply_ne_last", "finSuccEquiv'_above", "finSuccEquiv'_at", "finSuccEquiv'_below", "finSuccEquiv'_last_apply", "finSuccEquiv'_last_apply_castSucc", "finSuccEquiv'_ne_last_apply", "finSuccEquiv'_succAbove", "finSuccEquiv'_symm_none", "finSuccEquiv'_symm_some_above", "finSuccEquiv'_symm_some_below", "finSuccEquiv'_zero", "finSuccEquivLast_last", "finSuccEquivLast_symm_some", "finSuccEquiv_succ", "finSuccEquiv_symm_none", "finSuccEquiv_symm_some", "finSuccEquiv_zero", "finSumEquivOfFinset_inl", "finSumEquivOfFinset_inr", "finSumFinEquiv_apply_left", "finSumFinEquiv_apply_right", "finSumFinEquiv_symm_apply_castAdd", "finSumFinEquiv_symm_last", "findim", "finiteDimensional_direction_affineSpan_of_finite", "finiteDimensional_sup", "finiteType_ofLocalizationSpan", "finite_compl_fixedBy_closure_iff", "finite_cover_balls_of_compact", "finite_cover_nhds", "finite_cover_nhds_interior", "finite_iff_exists_equiv_fin", "finite_iff_nonempty_fintype", "finite_integral_one_add_norm", "finite_integral_rpow_sub_one_pow_aux", "finite_memPartition", "finite_ofLocalizationSpan", "finite_of_compact_of_discrete", "finite_of_fin_dim_affineIndependent", "finite_or_infinite", "finite_powers", "finite_set_of_fin_dim_affineIndependent", "finite_zpowers", "finprod_comp_equiv", "finprod_cond_eq_left", "finprod_cond_eq_prod_of_cond_iff", "finprod_cond_eq_right", "finprod_cond_ne", "finprod_cond_nonneg", "finprod_congr", "finprod_congr_Prop", "finprod_curry", "finprod_curry\u2083", "finprod_def", "finprod_div_distrib", "finprod_emb_domain", "finprod_emb_domain'", "finprod_eq_dif", "finprod_eq_finset_prod_of_mulSupport_subset", "finprod_eq_if", "finprod_eq_mulIndicator_apply", "finprod_eq_of_bijective", "finprod_eq_one_of_forall_eq_one", "finprod_eq_prod", "finprod_eq_prod_of_fintype", "finprod_eq_prod_of_mulSupport_subset", "finprod_eq_prod_plift_of_mulSupport_subset", "finprod_eq_prod_plift_of_mulSupport_toFinset_subset", "finprod_eq_single", "finprod_eq_zero", "finprod_eventually_eq_prod", "finprod_false", "finprod_induction", "finprod_inv_distrib", "finprod_mem_biUnion", "finprod_mem_coe_finset", "finprod_mem_comm", "finprod_mem_congr", "finprod_mem_def", "finprod_mem_div_distrib", "finprod_mem_dvd", "finprod_mem_empty", "finprod_mem_eq_of_bijOn", "finprod_mem_eq_one_of_forall_eq_one", "finprod_mem_eq_one_of_infinite", "finprod_mem_eq_prod", "finprod_mem_eq_prod_of_inter_mulSupport_eq", "finprod_mem_eq_prod_of_subset", "finprod_mem_eq_toFinset_prod", "finprod_mem_finset_product'", "finprod_mem_iUnion", "finprod_mem_image", "finprod_mem_image'", "finprod_mem_induction", "finprod_mem_insert", "finprod_mem_insert'", "finprod_mem_insert_of_eq_one_if_not_mem", "finprod_mem_insert_one", "finprod_mem_inter_mulSupport", "finprod_mem_inter_mulSupport_eq", "finprod_mem_inter_mulSupport_eq'", "finprod_mem_inter_mul_diff", "finprod_mem_inter_mul_diff'", "finprod_mem_inv_distrib", "finprod_mem_mulSupport", "finprod_mem_mul_diff", "finprod_mem_mul_distrib", "finprod_mem_mul_distrib'", "finprod_mem_of_eqOn_one", "finprod_mem_pair", "finprod_mem_range'", "finprod_mem_sUnion", "finprod_mem_singleton", "finprod_mem_union", "finprod_mem_union'", "finprod_mem_union''", "finprod_mem_union_inter", "finprod_mem_union_inter'", "finprod_mem_univ", "finprod_mul_distrib", "finprod_nonneg", "finprod_of_infinite_mulSupport", "finprod_of_isEmpty", "finprod_one", "finprod_pow", "finprod_prod_comm", "finprod_set_coe_eq_finprod_mem", "finprod_subtype_eq_finprod_cond", "finprod_true", "finprod_unique", "finrank_eq_nat_card_basis", "finrank_eq_one", "finrank_eq_one_iff", "finrank_eq_one_iff'", "finrank_eq_one_iff_of_nonzero", "finrank_eq_one_iff_of_nonzero'", "finrank_eq_rank", "finrank_eq_zero_of_basis_imp_not_finite", "finrank_eq_zero_of_not_exists_basis", "finrank_euclideanSpace", "finrank_euclideanSpace_fin", "finrank_le_one", "finrank_le_one_iff", "finrank_of_isSplittingField_X_pow_sub_C", "finrank_orthogonal_span_singleton", "finrank_quotient_span_eq_natDegree_norm", "finrank_range_le_card", "finrank_real_complex_fact'", "finrank_real_of_complex", "finrank_span_eq_card", "finrank_span_finset_eq_card", "finrank_span_finset_le_card", "finrank_span_le_card", "finrank_span_set_eq_card", "finrank_span_singleton", "finrank_top", "finrank_ulift", "finrank_vectorSpan_image_finset_le", "finrank_vectorSpan_insert_le", "finrank_vectorSpan_insert_le_set", "finrank_vectorSpan_le_iff_not_affineIndependent", "finrank_vectorSpan_range_le", "finrank_zero_iff_forall_zero", "finsetSup'_mem_supClosure", "finsum_mul", "finsum_smul", "finsum_smul'", "finsuppLequivDFinsupp_apply_apply", "finsuppLequivDFinsupp_symm_apply", "finsuppTensorFinsupp'_apply_apply", "finsuppTensorFinsupp'_single_tmul_single", "finsuppTensorFinsupp'_symm_single_eq_single_one_tmul", "finsuppTensorFinsupp'_symm_single_eq_tmul_single_one", "finsuppTensorFinsuppLid_apply_apply", "finsuppTensorFinsuppLid_self", "finsuppTensorFinsuppLid_single_tmul_single", "finsuppTensorFinsuppLid_symm_single_smul", "finsuppTensorFinsuppRid_apply_apply", "finsuppTensorFinsuppRid_self", "finsuppTensorFinsuppRid_single_tmul_single", "finsuppTensorFinsuppRid_symm_single_smul", "finsuppTensorFinsupp_apply", "finsuppTensorFinsupp_single", "finsuppTensorFinsupp_symm_single", "fixedPoints_antitone", "fixedPoints_subgroup_antitone", "fixedPoints_subgroup_iSup", "fixedPoints_subgroup_sup", "fixedPoints_submonoid_iSup", "fixingSubgroup_iUnion", "fixingSubgroup_union", "fixingSubmonoid_antitone", "fixingSubmonoid_fixedPoints_gc", "fixingSubmonoid_iUnion", "fixingSubmonoid_union", "fkg", "flip_eq_iff", "flip_inner\u2097", "floorDiv_le_ceilDiv", "floorDiv_of_nonpos", "floorDiv_one", "floorDiv_zero", "fn_max_mul_fn_min", "fn_min_mul_fn_max", "forall_and", "forall_and_left", "forall_and_right", "forall_apply_eq_imp_iff'", "forall_apply_eq_imp_iff\u2082", "forall_comm", "forall_cond_comm", "forall_congr'", "forall_const", "forall_eq", "forall_eq'", "forall_eq_or_imp", "forall_existsUnique_iff", "forall_existsUnique_iff'", "forall_exists_index", "forall_ge_iff", "forall_imp_iff_exists_imp", "forall_le_iff", "forall_liouvilleWith_iff", "forall_lt_iff_le", "forall_lt_iff_le'", "forall_mem_comm", "forall_or_left", "forall_or_of_or_forall", "forall_or_right", "forall_prop_congr", "forall_prop_of_false", "forall_prop_of_true", "forall_restrictGermPredicate_iff", "forall_restrictGermPredicate_of_forall", "forall_sUnion", "forall_swap", "forall_true_iff", "forall_true_left", "forall\u2082_and", "forall\u2082_congr", "forall\u2082_imp", "forall\u2082_swap", "forall\u2082_true_iff", "forall\u2083_imp", "forall\u2083_true_iff", "forall\u2084_congr", "forall\u2085_congr", "formalMultilinearSeries_geometric_apply_norm", "formalMultilinearSeries_geometric_radius", "four_functions_theorem", "four_functions_theorem_aux", "four_functions_theorem_univ", "four_ne_zero", "four_ne_zero'", "fourierBasis_repr", "fourierCoeff.const_smul", "fourierCoeffOn.const_mul", "fourierCoeffOn_eq_integral", "fourierCoeffOn_of_hasDerivAt", "fourierCoeffOn_of_hasDeriv_right", "fourierCoeff_bernoulli_eq", "fourierCoeff_eq_intervalIntegral", "fourierCoeff_liftIco_eq", "fourierCoeff_liftIoc_eq", "fourierCoeff_toLp", "fourierIntegral_eq_half_sub_half_period_translate", "fourierIntegral_gaussian", "fourierIntegral_gaussian_innerProductSpace", "fourierIntegral_gaussian_innerProductSpace'", "fourierIntegral_gaussian_pi", "fourierIntegral_gaussian_pi'", "fourierIntegral_half_period_translate", "fourierSubalgebra_closure_eq_top", "fourierSubalgebra_coe", "fourierSubalgebra_separatesPoints", "fourier_add", "fourier_add'", "fourier_add_half_inv_index", "fourier_apply", "fourier_coe_apply", "fourier_coe_apply'", "fourier_eval_zero", "fourier_neg", "fourier_neg'", "fourier_norm", "fourier_one", "fourier_zero", "fourier_zero'", "frattini_le_coatom", "frattini_le_comap_frattini_of_surjective", "frattini_nilpotent", "frattini_nongenerating", "frequently_frequently_nhds", "frequently_lt_nhds", "frequently_nhdsWithin_iff", "frobeniusEquiv_def", "frobeniusEquiv_symm_apply_frobenius", "frobeniusEquiv_symm_comp_frobenius", "frobeniusNumber_pair", "frobenius_add", "frobenius_def", "frobenius_inj", "frobenius_mul", "frobenius_natCast", "frobenius_neg", "frobenius_one", "frobenius_sub", "frobenius_zero", "frontier_Icc", "frontier_Ici", "frontier_Ici_subset", "frontier_Ico", "frontier_Iic", "frontier_Iic'", "frontier_Iic_subset", "frontier_Iio", "frontier_Iio'", "frontier_Ioc", "frontier_Ioi'", "frontier_Ioo", "frontier_ball", "frontier_closedBall", "frontier_closedBall'", "frontier_closure_subset", "frontier_compl", "frontier_empty", "frontier_eq_closure_inter_closure", "frontier_eq_empty_iff", "frontier_eq_inter_compl_interior", "frontier_inter_open_inter", "frontier_inter_subset", "frontier_interior_subset", "frontier_le_subset_eq", "frontier_lt_subset_eq", "frontier_prod_eq", "frontier_prod_univ_eq", "frontier_sphere", "frontier_subset_closure", "frontier_union_subset", "frontier_univ", "frontier_univ_prod_eq", "fst_himp", "fst_hnot", "fst_integral", "ftaylorSeriesWithin_univ", "fun_eq_repr", "functionField_iff", "fundSystem_mk", "funext", "funext\u2083", "galRestrictHom_symm_algebraMap_apply", "galRestrict_apply", "gal_C_isSolvable", "gal_X_isSolvable", "gal_X_pow_isSolvable", "gal_X_pow_sub_C_isSolvable", "gal_X_pow_sub_C_isSolvable_aux", "gal_X_pow_sub_one_isSolvable", "gal_X_sub_C_isSolvable", "gal_isSolvable_of_splits", "gal_isSolvable_tower", "gal_one_isSolvable", "gal_prod_isSolvable", "gal_zero_isSolvable", "galois_poly_separable", "gaugeRescale_def", "gaugeRescale_gaugeRescale", "gaugeRescale_self_apply", "gaugeRescale_smul", "gaugeRescale_zero", "gaugeSeminormFamily_ball", "gaugeSeminorm_ball_one", "gaugeSeminorm_lt_one_of_isOpen", "gauge_add_le", "gauge_ball", "gauge_ball'", "gauge_closedBall", "gauge_closure_zero", "gauge_def", "gauge_def'", 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"gc_sSup_Iic", "gc_upperClosure_coe", "gcd_assoc", "gcd_assoc'", "gcd_comm", "gcd_comm'", "gcd_dvd_gcd", "gcd_dvd_gcd_mul_right", "gcd_dvd_gcd_mul_right_right", "gcd_dvd_iff_exists", "gcd_eq_normalize", "gcd_eq_of_dvd_sub_right", "gcd_eq_zero_iff", "gcd_greatest", "gcd_greatest_associated", "gcd_isUnit_iff", "gcd_isUnit_iff_isRelPrime", "gcd_mul_dvd_mul_gcd", "gcd_mul_left", "gcd_mul_left'", "gcd_mul_right", "gcd_mul_right'", "gcd_ne_zero_of_left", "gcd_ne_zero_of_right", "gcd_neg", "gcd_one_left", "gcd_one_left'", "gcd_one_right'", "gcd_pow_left_dvd_pow_gcd", "gcd_pow_right_dvd_pow_gcd", "gcd_zero_left", "gcd_zero_left'", "ge_antisymm", "ge_iff_le", "ge_mem_nhds", "ge_of_eq", "ge_of_tendsto", "ge_of_tendsto'", "ge_of_tendsto_of_frequently", "ge_trans", "gelfandStarTransform_naturality", "gelfandTransform_bijective", "gelfandTransform_isometry", "gelfandTransform_map_star", "generalized_tube_lemma", "generateFrom_Ico_mem_le_borel", "generateFrom_eq_pi", "generateFrom_eq_prod", "generateFrom_generatePiSystem_eq", "generateFrom_iInter", "generateFrom_iUnion", "generateFrom_inter", "generateFrom_measurableSet_of_generatePiSystem", "generateFrom_pi_eq", "generateFrom_piiUnionInter_le", "generateFrom_piiUnionInter_measurableSet", "generateFrom_piiUnionInter_singleton_left", "generateFrom_prod", "generateFrom_prod_eq", "generateFrom_sUnion", "generateFrom_union", "generateFrom_union_isOpen", "generatePiSystem_eq", "generatePiSystem_mono", "generatePiSystem_subset_self", "generator_maximal_submoduleImage_dvd", "genericPoint_spec", "genericPoint_specializes", "geom_goldConj_isSol_fibRec", "geom_gold_isSol_fibRec", "geom_le", "geom_lt", "geom_series_mul_neg", "geom_series_mul_one_add", "geom_series_mul_shift", "geom_series_succ", "geom_sum_Ico", "geom_sum_Ico'", "geom_sum_Ico_le_of_lt_one", "geom_sum_Ico_mul", "geom_sum_Ico_mul_neg", "geom_sum_alternating_of_le_neg_one", "geom_sum_alternating_of_lt_neg_one", "geom_sum_eq", "geom_sum_eq_zero_iff_neg_one", "geom_sum_inv", "geom_sum_mul", "geom_sum_mul_add", "geom_sum_mul_neg", "geom_sum_ne_zero", "geom_sum_neg_iff", "geom_sum_one", "geom_sum_pos'", "geom_sum_pos_and_lt_one", "geom_sum_pos_iff", "geom_sum_succ", "geom_sum_two", "geom_sum_zero", "geom_sum\u2082_mul", "geom_sum\u2082_self", "geom_sum\u2082_with_one", "geometric_hahn_banach_closed_point", "geometric_hahn_banach_compact_closed", "geometric_hahn_banach_open", "geometric_hahn_banach_open_open", "geometric_hahn_banach_point_closed", "geometric_hahn_banach_point_open", "geometric_hahn_banach_point_point", "geom\u2082_sum", "goldConj_irrational", "goldConj_mul_gold", "goldConj_ne_zero", "goldConj_neg", "goldConj_sq", "gold_add_goldConj", "gold_lt_two", "gold_ne_zero", "gold_pos", "gold_pow_sub_gold_pow", "gold_sq", "gosper_catalan_sub_eq_central_binom_div", "gosper_trick", "grade_bot", "grade_le_grade_iff", "grade_mono", "grade_ne_grade_iff", "grade_ofDual", "grade_self", "grade_strictMono", "grade_toDual", "grade_top", "gradient_const", "gradient_eq_deriv", "gradient_eq_deriv'", "gradient_eq_zero_of_not_differentiableAt", "gramSchmidtNormed_unit_length", "gramSchmidtNormed_unit_length'", "gramSchmidtNormed_unit_length_coe", "gramSchmidtOrthonormalBasis_apply", "gramSchmidtOrthonormalBasis_apply_of_orthogonal", "gramSchmidtOrthonormalBasis_det", "gramSchmidtOrthonormalBasis_inv_triangular", "gramSchmidt_def", "gramSchmidt_def'", "gramSchmidt_def''", "gramSchmidt_inv_triangular", "gramSchmidt_mem_span", "gramSchmidt_ne_zero", "gramSchmidt_ne_zero_coe", "gramSchmidt_of_orthogonal", "gramSchmidt_orthogonal", "gramSchmidt_orthonormal", "gramSchmidt_orthonormal'", "gramSchmidt_triangular", "gramSchmidt_zero", "gronwallBound_K0", "gronwallBound_continuous_\u03b5", "gronwallBound_of_K_ne_0", "gronwallBound_x0", "gronwallBound_\u03b50", "gronwallBound_\u03b50_\u03b40", "groupCohomology.H0LequivOfIsTrivial_apply", "groupCohomology.H0LequivOfIsTrivial_symm_apply", "groupCohomology.H1LequivOfIsTrivial_H1_\u03c0_apply_apply", "groupCohomology.Hilbert90.aux_ne_zero", "groupCohomology.dOne_comp_dZero", "groupCohomology.dOne_comp_eq", "groupCohomology.dTwo_comp_dOne", "groupCohomology.dTwo_comp_eq", "groupCohomology.dZero_comp_H0_subtype", "groupCohomology.dZero_comp_eq", "groupCohomology.dZero_eq_zero", "groupCohomology.dZero_ker_eq_invariants", "groupCohomology.groupCohomology\u03c0_comp_isoH0_hom", "groupCohomology.groupCohomology\u03c0_comp_isoH2_hom", "groupCohomology.isMulOneCoboundary_of_isMulOneCocycle_of_aut_to_units", "groupCohomology.isMulOneCoboundary_of_oneCoboundaries", "groupCohomology.isMulOneCocycle_of_oneCocycles", "groupCohomology.isMulTwoCoboundary_of_twoCoboundaries", "groupCohomology.isMulTwoCocycle_of_twoCocycles", "groupCohomology.isOneCocycle_of_oneCocycles", "groupCohomology.isTwoCocycle_of_twoCocycles", "groupCohomology.isoOneCocycles_hom_comp_subtype", "groupCohomology.isoTwoCocycles_hom_comp_subtype", "groupCohomology.linearYonedaObjResolution_d_apply", "groupCohomology.map_inv_of_isMulOneCocycle", "groupCohomology.map_inv_of_isOneCocycle", "groupCohomology.map_one_fst_of_isMulTwoCocycle", "groupCohomology.map_one_fst_of_isTwoCocycle", "groupCohomology.map_one_of_isMulOneCocycle", "groupCohomology.map_one_of_isOneCocycle", "groupCohomology.map_one_snd_of_isMulTwoCocycle", "groupCohomology.map_one_snd_of_isTwoCocycle", "groupCohomology.mem_oneCocycles_def", "groupCohomology.mem_oneCocycles_iff", "groupCohomology.mem_oneCocycles_of_addMonoidHom", "groupCohomology.mem_range_of_mem_oneCoboundaries", "groupCohomology.mem_range_of_mem_twoCoboundaries", "groupCohomology.mem_twoCocycles_def", "groupCohomology.mem_twoCocycles_iff", "groupCohomology.oneCoboundaries_eq_bot_of_isTrivial", "groupCohomology.oneCoboundaries_of_mem_range_apply", "groupCohomology.oneCocycles_map_inv", "groupCohomology.oneCocycles_map_mul_of_isTrivial", "groupCohomology.oneCocycles_map_one", "groupCohomology.resolution.actionDiagonalSucc_hom_apply", "groupCohomology.resolution.actionDiagonalSucc_inv_apply", "groupCohomology.resolution.d_comp_\u03b5", "groupCohomology.resolution.d_eq", "groupCohomology.resolution.d_of", "groupCohomology.resolution.diagonalSucc_hom_single", "groupCohomology.resolution.diagonalSucc_inv_single_left", "groupCohomology.resolution.diagonalSucc_inv_single_right", "groupCohomology.resolution.diagonalSucc_inv_single_single", "groupCohomology.resolution.forget\u2082ToModuleCatHomotopyEquiv_f_0_eq", "groupCohomology.resolution.ofMulAction_free", "groupCohomology.resolution.quasiIso_forget\u2082_\u03b5ToSingle\u2080", "groupCohomology.resolution.\u03b5ToSingle\u2080_comp_eq", "groupCohomology.shortComplexH0_exact", "groupCohomology.smul_map_inv_div_map_inv_of_isMulTwoCocycle", "groupCohomology.smul_map_inv_sub_map_inv_of_isTwoCocycle", "groupCohomology.toCocycles_comp_isoOneCocycles_hom", "groupCohomology.twoCoboundariesOfEq_apply", "groupCohomology.twoCoboundariesOfMemRange_apply", "groupCohomology.twoCocycles_map_one_fst", "groupCohomology.twoCocycles_map_one_snd", "groupCohomology.twoCocycles_\u03c1_map_inv_sub_map_inv", "group_inseparable_iff", "groupoid_of_pregroupoid_le", "gt_iff_lt", "gt_irrefl", "gt_mem_nhds", "gt_of_ge_of_gt", "gt_or_eq_of_le", "gt_trans", "guard_false", "guard_true", "half_add_self", "half_le_self_iff", "half_lt_self_iff", "half_pos", "half_sub", "hallMatchingsOn.nonempty", "hammingDist_comm", "hammingDist_comp_le_hammingDist", "hammingDist_eq_hammingNorm", "hammingDist_le_card_fintype", "hammingDist_lt_one", "hammingDist_ne_zero", "hammingDist_nonneg", "hammingDist_pos", "hammingDist_self", "hammingDist_smul_le_hammingDist", "hammingDist_triangle", "hammingDist_triangle_left", "hammingDist_zero_left", "hammingNorm_comp_le_hammingNorm", "hammingNorm_eq_zero", "hammingNorm_lt_one", "hammingNorm_ne_zero_iff", "hammingNorm_pos_iff", "hammingNorm_smul", "hammingNorm_smul_le_hammingNorm", "hamming_zero_eq_dist", "harmonic_floor_le_one_add_log", "harmonic_le_one_add_log", "harmonic_not_int", "harmonic_pos", "hasBasis_coLindelof", "hasBasis_coclosedLindelof", "hasBasis_nhdsSet", "hasBasis_nhdsSet_Ici_Ioi", "hasBasis_nhdsSet_Iic_Iic", "hasBasis_nhdsSet_Iic_Iio", "hasBasis_nhds_closure", "hasBinaryCoproducts_of_hasInitial_and_pushouts", "hasBinaryProducts_of_hasTerminal_and_pullbacks", "hasCompactMulSupport_comp_left", "hasCompactMulSupport_def", "hasCompactMulSupport_iff_eventuallyEq", "hasConstantSpeedOnWith_iff_ordered", "hasConstantSpeedOnWith_iff_variationOnFromTo_eq", "hasConstantSpeedOnWith_of_subsingleton", "hasConstantSpeedOnWith_zero_iff", "hasContinuousInv\u2080_of_hasSmoothInv\u2080", "hasDerivAtFilter_id", "hasDerivAtFilter_iff_isLittleO", "hasDerivAtFilter_iff_tendsto", "hasDerivAtFilter_iff_tendsto_slope", "hasDerivAtFilter_neg", "hasDerivAtFilter_pi", "hasDerivAt_abs_rpow", "hasDerivAt_bernoulliFun", "hasDerivAt_circleMap", "hasDerivAt_const", "hasDerivAt_deriv_iff", "hasDerivAt_exp", "hasDerivAt_exp_of_mem_ball", "hasDerivAt_exp_smul_const'", "hasDerivAt_exp_zero", "hasDerivAt_exp_zero_of_radius_pos", "hasDerivAt_fourier", "hasDerivAt_fourier_neg", "hasDerivAt_gronwallBound", "hasDerivAt_gronwallBound_shift", "hasDerivAt_id", "hasDerivAt_id'", "hasDerivAt_iff_hasFDerivAt", "hasDerivAt_iff_isLittleO", "hasDerivAt_iff_tendsto", "hasDerivAt_iff_tendsto_slope", "hasDerivAt_iff_tendsto_slope_zero", "hasDerivAt_integral_of_dominated_loc_of_deriv_le", "hasDerivAt_integral_of_dominated_loc_of_lip", "hasDerivAt_inv", "hasDerivAt_jacobiTheta\u2082_fst", "hasDerivAt_mul_const", "hasDerivAt_neg'", "hasDerivAt_norm_rpow", "hasDerivAt_ofReal_cpow", "hasDerivAt_of_hasDerivAt_of_ne", "hasDerivAt_of_hasDerivAt_of_ne'", "hasDerivAt_of_tendstoLocallyUniformlyOn", "hasDerivAt_of_tendstoUniformly", "hasDerivAt_of_tendstoUniformlyOn", "hasDerivAt_of_tendstoUniformlyOnFilter", "hasDerivAt_of_tendsto_locally_uniformly_on'", "hasDerivAt_pi", "hasDerivAt_pow", "hasDerivAt_single", "hasDerivAt_sqrt_mul_log", "hasDerivAt_tsum", "hasDerivAt_tsum_of_isPreconnected", "hasDerivAt_update", "hasDerivWithinAt_Iio_iff_Iic", "hasDerivWithinAt_congr_set", "hasDerivWithinAt_congr_set'", "hasDerivWithinAt_const", "hasDerivWithinAt_derivWithin_iff", "hasDerivWithinAt_forall_lt_or_forall_gt_of_forall_ne", "hasDerivWithinAt_id", "hasDerivWithinAt_iff_hasFDerivWithinAt", "hasDerivWithinAt_iff_tendsto", "hasDerivWithinAt_iff_tendsto_slope", "hasDerivWithinAt_iff_tendsto_slope'", "hasDerivWithinAt_inter", "hasDerivWithinAt_inter'", "hasDerivWithinAt_inv", "hasDerivWithinAt_neg", "hasDerivWithinAt_pi", "hasDerivWithinAt_pow", "hasDerivWithinAt_taylorWithinEval", "hasDerivWithinAt_taylorWithinEval_at_Icc", "hasDerivWithinAt_taylor_coeff_within", "hasDerivWithinAt_univ", "hasEigenvalue_toLin'_diagonal_iff", "hasEigenvalue_toLin_diagonal_iff", "hasEigenvector_toLin'_diagonal", "hasEigenvector_toLin_diagonal", "hasFDerivAtFilter_const", "hasFDerivAtFilter_fst", "hasFDerivAtFilter_id", "hasFDerivAtFilter_iff_tendsto", "hasFDerivAtFilter_pi", "hasFDerivAtFilter_pi'", "hasFDerivAtFilter_snd", "hasFDerivAt_apply", "hasFDerivAt_exp", "hasFDerivAt_exp_of_mem_ball", "hasFDerivAt_exp_smul_const", "hasFDerivAt_exp_smul_const'", "hasFDerivAt_exp_smul_const_of_mem_ball", "hasFDerivAt_exp_smul_const_of_mem_ball'", "hasFDerivAt_exp_zero", "hasFDerivAt_exp_zero_of_radius_pos", "hasFDerivAt_finset_prod", "hasFDerivAt_fst", "hasFDerivAt_id", "hasFDerivAt_iff_hasGradientAt", "hasFDerivAt_iff_isLittleO_nhds_zero", "hasFDerivAt_iff_tendsto", "hasFDerivAt_integral_of_dominated_loc_of_lip", "hasFDerivAt_integral_of_dominated_loc_of_lip'", "hasFDerivAt_integral_of_dominated_loc_of_lip_interval", "hasFDerivAt_integral_of_dominated_of_fderiv_le", "hasFDerivAt_integral_of_dominated_of_fderiv_le''", "hasFDerivAt_inv'", "hasFDerivAt_jacobiTheta\u2082", "hasFDerivAt_jacobiTheta\u2082_term", "hasFDerivAt_list_prod'", "hasFDerivAt_norm_rpow", "hasFDerivAt_of_restrictScalars", "hasFDerivAt_of_subsingleton", "hasFDerivAt_of_tendstoLocallyUniformlyOn", "hasFDerivAt_of_tendstoUniformly", "hasFDerivAt_of_tendstoUniformlyOn", "hasFDerivAt_of_tendstoUniformlyOnFilter", "hasFDerivAt_of_tendsto_locally_uniformly_on'", "hasFDerivAt_pi", "hasFDerivAt_pi'", "hasFDerivAt_polarCoord_symm", "hasFDerivAt_prod_mk_right", "hasFDerivAt_ring_inverse", "hasFDerivAt_single", "hasFDerivAt_snd", "hasFDerivAt_stereoInvFunAux", "hasFDerivAt_stereoInvFunAux_comp_coe", "hasFDerivAt_sub_const", "hasFDerivAt_tsum", "hasFDerivAt_tsum_of_isPreconnected", "hasFDerivAt_update", "hasFDerivAt_zero_of_eventually_const", "hasFDerivWithinAt_apply", "hasFDerivWithinAt_congr_set", "hasFDerivWithinAt_congr_set'", "hasFDerivWithinAt_diff_singleton", "hasFDerivWithinAt_euclidean", "hasFDerivWithinAt_id", "hasFDerivWithinAt_iff_hasGradientWithinAt", "hasFDerivWithinAt_iff_tendsto", "hasFDerivWithinAt_insert", "hasFDerivWithinAt_inter", "hasFDerivWithinAt_inter'", "hasFDerivWithinAt_inv", "hasFDerivWithinAt_of_mem_nhds", "hasFDerivWithinAt_of_nmem_closure", "hasFDerivWithinAt_pi", "hasFDerivWithinAt_singleton", "hasFDerivWithinAt_tangentCoordChange", "hasFDerivWithinAt_univ", "hasFPowerSeriesAt_const", "hasFPowerSeriesAt_iff", "hasFPowerSeriesAt_iff'", "hasFPowerSeriesOnBall_const", "hasFPowerSeriesOnBall_inv_one_sub", "hasFPowerSeriesOn_cauchy_integral", "hasFTaylorSeriesUpToOn_pi", "hasFTaylorSeriesUpToOn_pi'", "hasFTaylorSeriesUpToOn_succ_iff_left", "hasFTaylorSeriesUpToOn_succ_iff_right", "hasFTaylorSeriesUpToOn_top_iff", "hasFTaylorSeriesUpToOn_univ_iff", "hasFTaylorSeriesUpToOn_zero_iff", "hasFTaylorSeriesUpTo_succ_iff_right", "hasFTaylorSeriesUpTo_top_iff", "hasFTaylorSeriesUpTo_top_iff'", "hasFTaylorSeriesUpTo_zero_iff", "hasFiniteFPowerSeriesOnBall_const", "hasGradientAtFilter_const", "hasGradientAt_iff_hasFDerivAt", "hasGradientAt_iff_isLittleO", "hasGradientAt_iff_isLittleO_nhds_zero", "hasGradientAt_iff_tendsto", "hasGradientWithinAt_congr_set", "hasGradientWithinAt_congr_set'", "hasGradientWithinAt_iff_hasFDerivWithinAt", "hasGradientWithinAt_univ", "hasGroupoid_of_le", "hasLineDerivAt_iff_isLittleO_nhds_zero", "hasLineDerivAt_iff_tendsto_slope_zero", "hasLineDerivAt_smul_iff", "hasLineDerivAt_zero", "hasLineDerivWithinAt_congr_set", "hasLineDerivWithinAt_smul_iff", "hasLineDerivWithinAt_univ", "hasMFDerivAt_extChartAt", "hasMFDerivAt_fst", "hasMFDerivAt_id", "hasMFDerivAt_iff_hasFDerivAt", "hasMFDerivAt_neg", "hasMFDerivAt_snd", "hasMFDerivWithinAt_extChartAt", "hasMFDerivWithinAt_fst", "hasMFDerivWithinAt_id", "hasMFDerivWithinAt_iff_hasFDerivWithinAt", "hasMFDerivWithinAt_inter", "hasMFDerivWithinAt_inter'", "hasMFDerivWithinAt_snd", "hasMFDerivWithinAt_univ", "hasMellin_add", "hasMellin_cpow_Ioc", "hasMellin_one_Ioc", "hasMellin_sub", "hasProd_extend_one", "hasProd_fintype", "hasProd_iff_hasProd_of_ne_one_bij", "hasProd_ite_div_hasProd", "hasProd_ite_eq", "hasProd_le", "hasProd_le_inj", "hasProd_le_of_prod_le", "hasProd_lt", "hasProd_mono", "hasProd_nat_add_iff", "hasProd_nat_add_iff'", "hasProd_of_isLUB", "hasProd_of_isLUB_of_one_le", "hasProd_one", "hasProd_one_iff_of_one_le", "hasProd_pi_single", "hasProd_prod", "hasProd_prod_disjoint", "hasProd_prod_of_ne_finset_one", "hasProd_single", "hasProd_singleton", "hasProd_subtype_iff_mulIndicator", "hasProd_subtype_iff_of_mulSupport_subset", "hasProd_unique", "hasSeparatingCovers_iff_separatedNhds", "hasStrictDerivAt_const", "hasStrictDerivAt_exp", "hasStrictDerivAt_exp_smul_const_of_mem_ball", "hasStrictDerivAt_exp_smul_const_of_mem_ball'", "hasStrictDerivAt_exp_zero_of_radius_pos", "hasStrictDerivAt_id", "hasStrictDerivAt_inv", "hasStrictDerivAt_pi", "hasStrictDerivAt_pow", "hasStrictDerivAt_zpow", "hasStrictFDerivAt_apply", "hasStrictFDerivAt_const", "hasStrictFDerivAt_euclidean", "hasStrictFDerivAt_exp", "hasStrictFDerivAt_exp_of_mem_ball", "hasStrictFDerivAt_exp_smul_const'", "hasStrictFDerivAt_exp_smul_const_of_mem_ball'", "hasStrictFDerivAt_exp_zero_of_radius_pos", "hasStrictFDerivAt_finset_prod", "hasStrictFDerivAt_fst", "hasStrictFDerivAt_iff_hasStrictDerivAt", "hasStrictFDerivAt_list_prod", "hasStrictFDerivAt_list_prod'", "hasStrictFDerivAt_list_prod_attach'", "hasStrictFDerivAt_list_prod_finRange'", "hasStrictFDerivAt_multiset_prod", "hasStrictFDerivAt_norm_sq", "hasStrictFDerivAt_of_hasFDerivAt_of_continuousAt", "hasStrictFDerivAt_pi'", "hasStrictFDerivAt_pi''", "hasStrictFDerivAt_snd", "hasSum_L_function_mod_four_eval_three", "hasSum_cauchyPowerSeries_integral", "hasSum_coe_mul_geometric_of_norm_lt_one", "hasSum_div_const_iff", "hasSum_fourier_series_L2", "hasSum_fourier_series_of_summable", "hasSum_geometric_of_abs_lt_one", "hasSum_geometric_of_lt_one", "hasSum_geometric_of_norm_lt_one", "hasSum_geometric_two", "hasSum_geometric_two'", "hasSum_iff_tendsto_nat_of_nonneg", "hasSum_jacobiTheta\u2082'_term", "hasSum_jacobiTheta\u2082_term", "hasSum_mellin", "hasSum_mellin_pi_mul", "hasSum_mellin_pi_mul_sq", "hasSum_mellin_pi_mul_sq'", "hasSum_mellin_pi_mul\u2080", "hasSum_mul_left_iff", "hasSum_mul_right_iff", "hasSum_nat_jacobiTheta", "hasSum_one_div_nat_pow_mul_cos", "hasSum_one_div_nat_pow_mul_fourier", "hasSum_one_div_nat_pow_mul_sin", "hasSum_one_div_pow_mul_fourier_mul_bernoulliFun", "hasSum_two_pi_I_cauchyPowerSeries_integral", "hasSum_zeta_four", "hasSum_zeta_nat", "hasSum_zeta_two", "has_antideriv_at_fourier_neg", "has_deriv_at_interval_left_endpoint_of_tendsto_deriv", "has_deriv_at_interval_right_endpoint_of_tendsto_deriv", "has_fderiv_at_boundary_of_tendsto_fderiv", "has_fderiv_at_filter_real_equiv", "has_pointwise_sum_fourier_series_of_summable", "has_unit_speed_naturalParameterization", "hausdorffMeasure_of_dimH_lt", "hausdorffMeasure_of_lt_dimH", "height_mono", "hensels_lemma", "heq_const_of_unique", "heq_eqRec_iff_heq", "heq_eq_eq", "heq_iff_eq", "heq_imp_of_eq_imp", "heq_of_cast_eq", "heq_of_eq", "heq_of_eq_rec_left", "heq_of_eq_rec_right", "heq_prop", "heq_rec_iff_heq", "himp_bihimp", "himp_bihimp_eq_inf", "himp_bihimp_left", "himp_bot", "himp_compl", "himp_compl_comm", "himp_eq", "himp_eq_himp_iff", "himp_eq_left", "himp_eq_top_iff", "himp_himp", "himp_inf_distrib", "himp_inf_himp_cancel", "himp_inf_himp_inf_le", "himp_inf_le", "himp_inf_self", "himp_le", "himp_le_himp", "himp_le_himp_himp_himp", "himp_le_himp_right", "himp_left_comm", "himp_ne_himp_iff", "himp_ne_right", "himp_self", "himp_top", "himp_triangle", "hnot_anti", "hnot_bot", "hnot_eq_compl", "hnot_hnot_hnot", "hnot_hnot_le", "hnot_hnot_sdiff_distrib", "hnot_hnot_sup_distrib", "hnot_inf_distrib", "hnot_le_comm", "hnot_le_hnot", "hnot_le_iff_codisjoint_left", "hnot_le_iff_codisjoint_right", "hnot_sdiff", "hnot_sdiff_comm", "hnot_sup_self", "hnot_symmDiff_self", "hnot_top", "hofer", "holderOnWith_one", "holderOnWith_singleton", "holderOnWith_univ", "holderWith_id", "holderWith_one", "holley", "homTensorHomEquiv_toLinearMap", "hom_chart", "hom_coe_pow", "hom_trivializationAt_apply", "hom_trivializationAt_source", "homology'.comp_right_eq_comp_left", "homology'.condition_\u03b9", "homology'.condition_\u03c0'", "homology'.ext", "homology'.hom_from_ext", "homology'.hom_to_ext", "homology'.lift_\u03b9", "homology'.map_comp", "homology'.map_desc", "homology'.map_eq_desc'_lift_left", "homology'.map_eq_desc'_lift_right", "homology'.map_eq_lift_desc'_left", "homology'.map_eq_lift_desc'_right", "homology'.map_id", "homology'.map_\u03b9", "homology'.\u03c0'_desc'", "homology'.\u03c0'_eq_\u03c0", "homology'.\u03c0'_map", "homology'.\u03c0'_\u03b9", "homology'.\u03c0_desc", "homology'.\u03c0_map", "homology'.\u03c0_map_apply", "homology'_map_eq_of_homotopy", "homothety_invOf_two", "homothety_inv_two", "homothety_one_half", "homotopyEquivalences_le_quasiIso", "hyperoperation_ge_four_zero", "hyperoperation_ge_three_eq_one", "hyperoperation_ge_three_one", "hyperoperation_ge_two_eq_self", "hyperoperation_one", "hyperoperation_recursion", "hyperoperation_three", "hyperoperation_two", "hyperoperation_two_two_eq_four", "hyperoperation_zero", "iInf_Prop_eq", "iInf_and", "iInf_and'", "iInf_apply", "iInf_bool_eq", "iInf_comm", "iInf_congr", "iInf_congr_Prop", "iInf_const", "iInf_eq_bot", "iInf_eq_dif", "iInf_eq_iInf_finset", "iInf_eq_iInf_finset'", "iInf_eq_iInf_subseq_of_antitone", "iInf_eq_iInf_subseq_of_monotone", "iInf_eq_of_forall_ge_of_forall_gt_exists_lt", "iInf_eq_of_forall_le_of_tendsto", "iInf_eq_of_tendsto", "iInf_eq_top", "iInf_exists", "iInf_extend_top", "iInf_false", "iInf_ge_eq_iInf_nat_add", "iInf_iInf_eq_left", "iInf_iInf_eq_right", "iInf_iSup_eq", "iInf_iSup_ge_nat_add", "iInf_iUnion", "iInf_image", "iInf_inf", "iInf_inf_eq", "iInf_ite", "iInf_le", "iInf_le'", "iInf_le_coatom", "iInf_le_iInf_of_subset", "iInf_le_iInf\u2082", "iInf_le_iff", "iInf_le_of_le", "iInf_lt_iff", "iInf_mono", "iInf_nat_gt_zero_eq", "iInf_ne_top_subtype", "iInf_of_empty", "iInf_of_isEmpty", "iInf_option", "iInf_or", "iInf_pair", "iInf_plift_up", "iInf_pos", "iInf_prod", "iInf_prod'", "iInf_range", "iInf_sUnion", "iInf_sigma", "iInf_sigma'", "iInf_singleton", "iInf_split_single", "iInf_subtype", "iInf_subtype'", "iInf_subtype''", "iInf_sum", "iInf_sup_eq", "iInf_sup_iInf", "iInf_sup_of_antitone", "iInf_sup_of_monotone", "iInf_true", "iInf_uniformity", "iInf_univ", "iInf_unpair", "iInf\u2082_comm", "iInf\u2082_eq_top", "iInf\u2082_le", "iInf\u2082_le_of_le", "iInf\u2082_mono'", "iInf\u2082_sup_eq", "iInter_Iic_eq_empty_iff", "iInter_halfspaces_eq", "iSup_Prop_eq", "iSup_and", "iSup_apply", "iSup_bool_eq", "iSup_comm", "iSup_comp_le", "iSup_congr_Prop", "iSup_const", "iSup_const_le", "iSup_const_mono", "iSup_disjoint_iff", "iSup_dite", "iSup_emptyset", "iSup_eq_bot", "iSup_eq_dif", "iSup_eq_iSup_finset", "iSup_eq_iSup_finset'", "iSup_eq_iSup_subseq_of_antitone", "iSup_eq_if", "iSup_eq_of_forall_le_of_forall_lt_exists_gt", "iSup_eq_of_forall_le_of_tendsto", "iSup_eq_of_tendsto", "iSup_eq_top", "iSup_exists", "iSup_extend_bot", "iSup_false", "iSup_ge_eq_iSup_nat_add", "iSup_iInf_eq", "iSup_iInf_ge_nat_add", "iSup_iInf_le", "iSup_iInf_le_iInf_iSup", "iSup_iSup_eq_right", "iSup_iUnion", "iSup_image", "iSup_inf_eq", "iSup_inf_iSup", "iSup_inf_le_inf_sSup", "iSup_inf_le_sSup_inf", "iSup_inf_of_antitone", "iSup_inf_of_monotone", "iSup_insert", "iSup_le", "iSup_le_iSup_of_partialSups_le_partialSups", "iSup_le_iff", "iSup_limsup_dimH", "iSup_mono", "iSup_mono'", "iSup_ne_bot_subtype", "iSup_neg", "iSup_nhds_le_uniformity", "iSup_of_empty", "iSup_of_empty'", "iSup_option", "iSup_option_elim", "iSup_or", "iSup_pair", "iSup_plift_down", "iSup_plift_up", "iSup_pos", "iSup_prod", "iSup_range", "iSup_range'", "iSup_sUnion", "iSup_sigma", "iSup_sigma'", "iSup_singleton", "iSup_split", "iSup_split_single", "iSup_subtype", "iSup_subtype'", "iSup_subtype''", "iSup_sum", "iSup_sup", "iSup_sup_eq", "iSup_symmDiff_iSup_le", "iSup_union", "iSup_univ", "iSup_unpair", "iSup\u2082_comm", "iSup\u2082_disjoint_iff", "iSup\u2082_inf_eq", "iSup\u2082_le", "iSup\u2082_le_iSup", "iSup\u2082_mono", "iSup\u2082_mono'", "iUnion_Icc_add_intCast", "iUnion_Icc_add_zsmul", "iUnion_Icc_intCast", "iUnion_Icc_zsmul", "iUnion_Ici_eq_Ici_iInf", "iUnion_Ici_eq_Ioi_iInf", "iUnion_Ici_eq_Ioi_of_lt_of_tendsto", "iUnion_Ico_add_intCast", "iUnion_Ico_add_zsmul", "iUnion_Ico_intCast", "iUnion_Ico_zsmul", "iUnion_Iic_eq_Iic_iSup", "iUnion_Iic_eq_Iio_iSup", "iUnion_Iio_eq_univ_iff", "iUnion_Ioc_add_intCast", "iUnion_Ioc_add_zsmul", "iUnion_Ioc_intCast", "iUnion_Ioc_zsmul", "iUnion_Ioo_of_mono_of_isGLB_of_isLUB", "iUnion_compactCovering", "iUnion_disjointed", "iUnion_source_chartAt", "idRel_subset", "idRestrGroupoid_mem", "id_compRel", "id_eq", "id_eq_sum_orthogonalProjection_self_orthogonalComplement", "id_map'", "id_tensor_\u03c0_preserves_coequalizer_inv_colimMap_desc", "id_tensor_\u03c0_preserves_coequalizer_inv_desc", "idealFactorsEquivOfQuotEquiv_is_dvd_iso", "idealFactorsEquivOfQuotEquiv_mem_normalizedFactors_of_mem_normalizedFactors", "idealFactorsFunOfQuotHom_comp", "idealFactorsFunOfQuotHom_id", "ideal_eq_bot_of_localization", "ideal_eq_bot_of_localization'", "if_ctx_congr", "if_ctx_simp_congr_prop", "if_false", "if_neg", "if_pos", "if_simp_congr_prop", "if_true", "iff_assoc", "iff_def", "iff_eq_eq", "iff_false_iff", "iff_false_intro", "iff_iff_and_or_not_and_not", "iff_iff_eq", "iff_left_comm", "iff_mpr_iff_true_intro", "iff_not_comm", "iff_of_false", "iff_of_true", "iff_right_comm", "iff_self_and", "iff_self_iff", "iff_true", "iff_true_iff", "iff_true_intro", "ih_0", "im_inner_eq_norm_sub_i_smul_mul_self_sub_norm_add_i_smul_mul_self_div_four", "image2_lowerBounds_lowerBounds_subset", "image2_lowerBounds_lowerBounds_subset_lowerBounds_image2", "image2_lowerBounds_upperBounds_subset_lowerBounds_image2", "image2_lowerBounds_upperBounds_subset_upperBounds_image2", "image2_upperBounds_lowerBounds_subset_lowerBounds_image2", "image2_upperBounds_lowerBounds_subset_upperBounds_image2", "image2_upperBounds_upperBounds_subset", "image2_upperBounds_upperBounds_subset_upperBounds_image2", "imageSubobjectIso_imageToKernel'", "imageToKernel'_kernelSubobjectIso", "imageToKernel_arrow", "imageToKernel_arrow_apply", "imageToKernel_comp_left", "imageToKernel_comp_mono", "imageToKernel_epi_comp", "imageToKernel_op", "imageToKernel_unop", "image_circleMap_Ioc", "image_closure_of_isCompact", "image_closure_subset_closure_image", "image_commutatorSet_closureCommutatorRepresentatives", "image_eq_one_of_nmem_mulTSupport", "image_extremePoints", "image_gaugeRescaleHomeomorph_closure", "image_gaugeRescaleHomeomorph_interior", "image_le_kernel", "image_le_of_deriv_right_le_deriv_boundary", "image_le_of_deriv_right_lt_deriv_boundary", "image_le_of_deriv_right_lt_deriv_boundary'", "image_le_of_liminf_slope_right_le_deriv_boundary", "image_le_of_liminf_slope_right_lt_deriv_boundary", "image_le_of_liminf_slope_right_lt_deriv_boundary'", "image_minimals_of_rel_iff_rel", "image_minimals_univ", "image_norm_le_of_liminf_right_slope_norm_lt_deriv_boundary", "image_norm_le_of_norm_deriv_right_le_deriv_boundary", "image_norm_le_of_norm_deriv_right_le_deriv_boundary'", "image_norm_le_of_norm_deriv_right_lt_deriv_boundary", "image_norm_le_of_norm_deriv_right_lt_deriv_boundary'", "image_norm_nonempty", "image_openSegment", "image_parallelepiped", "image_range_orderOf", "image_segment", "image_smul_set", "image_smul_set\u209b\u2097", "image_sub_lt_mul_sub_of_deriv_lt", "image_subset_closure_compl_image_compl_of_isOpen", "image_subtype_ne_univ_eq_image_erase", "image_subtype_univ_ssubset_image_univ", "image_toPullbackDiag", "imaginaryPart_I_smul", "imaginaryPart_apply_coe", "imaginaryPart_comp_subtype_selfAdjoint", "imaginaryPart_eq_neg_I_smul_skewAdjointPart", "imaginaryPart_imaginaryPart", "imaginaryPart_ofReal", "imaginaryPart_realPart", "imaginaryPart_smul", "imaginaryPart_surjective", "imp.swap", "imp_and", "imp_and_neg_imp_iff", "imp_congr_ctx_eq", "imp_congr_eq", "imp_congr_right", "imp_false", "imp_forall_iff", "imp_iff_not_or", "imp_iff_or_not", "imp_iff_right", "imp_iff_right_iff", "imp_not_comm", "imp_of_if_neg", "imp_of_if_pos", "imp_or", "imp_or'", "imp_self", "imp_true_iff", "implies_true", "inCoordinates_tangent_bundle_core_model_space", "inTangentCoordinates_eq", "inTangentCoordinates_model_space", "incomp_iff_eq", "incomp_trans", "incomp_trans_of", "indicator_ae_eq_of_ae_eq_set", "indicator_ae_eq_of_restrict_compl_ae_eq_zero", "indicator_ae_eq_restrict_compl", "indicator_ae_eq_zero_of_restrict_ae_eq_zero", "indicator_le_thickenedIndicator", "indicator_le_thickenedIndicatorAux", "indicator_meas_zero", "indicator_norm_le_norm_self", "induced_compose", "induced_const", "induced_iInf", "induced_iff_nhds_eq", "induced_inf", "induced_mono", "induced_orderTopology", "induced_orderTopology'", "induced_to_pi", "induced_top", "induced_topology_eq_preorder", "induced_topology_le_preorder", "induced_topology_pure", "inducing_const_prod", "inducing_iInf_to_pi", "inducing_id", "inducing_iff_inducing_of_iSup_eq_top", "inducing_iff_nhds", "inducing_induced", "inducing_of_inducing_compose", "inducing_prod_const", "inducing_pullbackTotalSpaceEmbedding", "inducing_sigma", "inducing_sigma_map", "inducing_subtype_val", "induction_on_primes", "ineq", "infClosed_iInter", "infClosed_infClosure", "infClosed_pi", "infClosed_preimage_ofDual", "infClosed_preimage_toDual", "infClosed_range", "infClosed_singleton", "infClosure_eq_self", "infClosure_idem", "infClosure_mono", "infClosure_singleton", "infClosure_supClosure", "infClosure_univ", "infDist_smul\u2080", "infEdist_cthickening", "infEdist_inv", "infEdist_inv_inv", "infEdist_smul\u2080", "infEdist_thickening", "infIrred_iff_not_isMax", "infIrred_ofDual", "infIrred_toDual", "infPrime_iff_infIrred", "infPrime_iff_not_isMax", "infPrime_ofDual", "inf_Prop_eq", "inf_assoc", "inf_bot_eq", "inf_comm", "inf_compl_eq_bot'", "inf_compl_self", "inf_congr_left", "inf_congr_right", "inf_covBy_of_covBy_sup_left", "inf_covBy_of_covBy_sup_of_covBy_sup_right", "inf_covBy_of_covBy_sup_right", "inf_div", "inf_eq_and_sup_eq_iff", "inf_eq_bot_of_bot_mem", "inf_eq_bot_of_coprime", "inf_eq_div_oneLePart_div", "inf_eq_half_smul_add_sub_abs_sub", "inf_eq_half_smul_add_sub_abs_sub'", "inf_eq_iInf", "inf_eq_inf_iff_right", "inf_eq_left", "inf_eq_min", "inf_eq_minDefault", "inf_eq_right", "inf_eq_sup", "inf_eq_top_iff", "inf_himp", "inf_himp_bihimp", "inf_himp_le", "inf_iInf", "inf_iInf_nat_succ", "inf_iSup_eq", "inf_idem", "inf_ind", "inf_inf_distrib_left", "inf_inf_distrib_right", "inf_inf_sdiff", "inf_le_bihimp", "inf_le_inf", "inf_le_inf_left", "inf_le_inf_right", "inf_le_ite", "inf_le_left", "inf_le_of_left_le", "inf_le_of_right_le", "inf_le_right", "inf_le_sup", "inf_left_comm", "inf_left_right_swap", "inf_lt_iff", "inf_lt_inf_of_lt_of_sup_le_sup", "inf_lt_left", "inf_lt_left_or_right", "inf_lt_of_right_lt", "inf_lt_sup", "inf_mem_infClosure", "inf_mul_sup", "inf_nhds_atBot", "inf_nhds_atTop", "inf_sSup_eq", "inf_sSup_eq_iSup_inf_sup_finset", "inf_sdiff", "inf_sdiff_assoc", "inf_sdiff_distrib_left", "inf_sdiff_distrib_right", "inf_sdiff_eq_bot_iff", "inf_sdiff_inf", "inf_sdiff_left", "inf_sdiff_right_comm", "inf_sdiff_self_left", "inf_sdiff_self_right", "inf_sdiff_sup_right", "inf_sq_eq_mul_div_mabs_div", "inf_sup_assoc_of_le", "inf_sup_left", "inf_sup_right", "inf_sup_self", "inf_sup_symmDiff", "inf_symmDiff_distrib_left", "inf_symmDiff_distrib_right", "inf_symmDiff_symmDiff", "inf_top_eq", "inf_uniformity", "infiniteDimensionalOrder_of_strictMono", "infinite_basis_le_maximal_linearIndependent", "infinite_basis_le_maximal_linearIndependent'", "infinite_not_isOfFinOrder", "infinite_of_mem_nhds", "infinite_powers", "infinite_prod", "infinite_sum", "infinite_zpowers", "infsInfHom_apply", "inhomogeneousCochains.d_eq", "injective_algebraMap_of_linearMap", "injective_frobenius", "injective_iff_map_eq_one", "injective_iff_map_eq_one'", "injective_nhdsSet", "injective_of_increasing", "injective_of_le_imp_le", "injective_of_lt_imp_ne", "injective_pow_iff_not_isOfFinOrder", "injective_pow_p", "injective_toPullbackDiag", "injective_toZ", "injective_zpow_iff_not_isOfFinOrder", "innerDualCone_empty", "innerDualCone_eq_iInter_innerDualCone_singleton", "innerDualCone_iUnion", "innerDualCone_insert", "innerDualCone_le_innerDualCone", "innerDualCone_sUnion", "innerDualCone_singleton", "innerDualCone_union", "innerDualCone_univ", "innerDualCone_zero", "innerSLFlip_apply", "innerSL_apply", "innerSL_apply_norm", "innerSL_real_flip", "inner_add_add_self", "inner_add_left", "inner_add_right", "inner_conj_symm", "inner_eq_norm_mul_iff", "inner_eq_norm_mul_iff_div", "inner_eq_norm_mul_iff_real", "inner_eq_one_iff_of_norm_one", "inner_eq_sum_norm_sq_div_four", "inner_eq_zero_symm", "inner_gramSchmidtOrthonormalBasis_eq_zero", "inner_im_symm", "inner_lt_norm_mul_iff_real", "inner_lt_one_iff_real_of_norm_one", "inner_map_complex", "inner_map_polarization", "inner_map_polarization'", "inner_map_self_eq_zero", "inner_matrix_col_col", "inner_matrix_row_row", "inner_mul_inner_self_le", "inner_mul_symm_re_eq_norm", "inner_neg_left", "inner_neg_right", "inner_orthogonalProjection_eq_of_mem_left", "inner_orthogonalProjection_eq_of_mem_right", "inner_orthogonalProjection_left_eq_right", "inner_product_apply_eigenvector", "inner_re_symm", "inner_re_zero_left", "inner_self_conj", "inner_self_eq_norm_mul_norm", "inner_self_eq_norm_sq_to_K", "inner_self_eq_zero", "inner_self_im", "inner_self_ne_zero", "inner_self_nonneg", "inner_self_nonpos", "inner_self_ofReal_norm", "inner_self_ofReal_re", "inner_self_re_eq_norm", "inner_smul_left", "inner_smul_real_left", "inner_smul_real_right", "inner_smul_right", "inner_sub_left", "inner_sub_right", "inner_sub_sub_self", "inner_sum", "inner_sum_smul_sum_smul_of_sum_eq_zero", "inner_zero_left", "inner_zero_right", "inner\u2097_apply", "inner\u209b\u2097_apply", "inseparable_def", "inseparable_eq_eq", "inseparable_iff_closure_eq", "inseparable_iff_clusterPt_uniformity", "inseparable_iff_forall_closed", "inseparable_iff_forall_open", "inseparable_iff_ker_uniformity", "inseparable_iff_mem_closure", "inseparable_iff_specializes_and", "inseparable_of_nhdsWithin_eq", "inseparable_one_iff_norm", "inseparable_pi", "inseparable_prod", "insert_endpoints_openSegment", "insert_mem_nhdsWithin_insert", "insert_mem_nhdsWithin_of_subset_insert", "insert_mem_nhds_iff", "instT0Space", "intCast_mem", "intCast_mem\u2113p_infty", "int_prod_range_nonneg", "int_prod_range_pos", "int_smul_eq_zsmul", "integrableOn_Icc_iff_integrableOn_Ico", "integrableOn_Icc_iff_integrableOn_Ico'", "integrableOn_Icc_iff_integrableOn_Ioc", "integrableOn_Icc_iff_integrableOn_Ioc'", "integrableOn_Icc_iff_integrableOn_Ioo", "integrableOn_Icc_iff_integrableOn_Ioo'", "integrableOn_Ici_iff_integrableOn_Ioi", "integrableOn_Ici_iff_integrableOn_Ioi'", "integrableOn_Ico_iff_integrableOn_Ioo", "integrableOn_Ico_iff_integrableOn_Ioo'", "integrableOn_Iic_iff_integrableOn_Iio", "integrableOn_Iic_iff_integrableOn_Iio'", "integrableOn_Ioc_iff_integrableOn_Ioo", "integrableOn_Ioc_iff_integrableOn_Ioo'", "integrableOn_Ioi_cpow_iff", "integrableOn_Ioi_cpow_of_lt", "integrableOn_Ioi_exp_neg_mul_sq_iff", "integrableOn_Ioi_rpow_iff", "integrableOn_Ioi_rpow_of_lt", "integrableOn_exp_Iic", "integrableOn_peak_smul_of_integrableOn_of_tendsto", "integrableOn_rpow_mul_exp_neg_mul_rpow", "integrableOn_rpow_mul_exp_neg_mul_sq", "integrableOn_rpow_mul_exp_neg_rpow", "integrable_cexp_neg_mul_sq", "integrable_cexp_quadratic", "integrable_cexp_quadratic'", "integrable_exp_neg_mul_sq", "integrable_exp_neg_mul_sq_iff", "integrable_inv_one_add_sq", "integrable_mul_cexp_neg_mul_sq", "integrable_mul_exp_neg_mul_sq", "integrable_of_isBigO_exp_neg", "integrable_one_add_norm", "integrable_rpow_mul_exp_neg_mul_sq", "integrable_rpow_neg_one_add_norm_sq", "integralClosure.isFractionRing_of_algebraic", "integralClosure.isIntegral", "integralClosure.isIntegrallyClosedOfFiniteExtension", "integralClosure.mem_lifts_of_monic_of_dvd_map", "integralClosure_idem", "integralClosure_le_span_dualBasis", "integralClosure_map_algEquiv", "integral_Ioi_cpow_of_lt", "integral_Ioi_inv_one_add_sq", "integral_Ioi_rpow_of_lt", "integral_bernoulliFun_eq_zero", "integral_bilinear_hasFDerivAt_right_eq_neg_left_of_integrable", "integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable", "integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux1", "integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrable_aux2", "integral_cexp_quadratic", "integral_coe_re_add_coe_im", "integral_comp_abs", "integral_comp_neg_Iic", "integral_comp_neg_Ioi", "integral_comp_polarCoord_symm", "integral_const_on_unit_interval", "integral_cos", "integral_cos_mul_complex", "integral_cos_pow_aux", "integral_cos_pow_three", "integral_cos_sq", "integral_cos_sq_sub_sin_sq", "integral_cpow", "integral_exp", "integral_exp_Iic", "integral_exp_Iic_zero", "integral_exp_mul_complex", "integral_exp_neg_Ioi", "integral_exp_neg_Ioi_zero", "integral_exp_neg_mul_rpow", "integral_exp_neg_rpow", "integral_gaussian", "integral_gaussian_Ioi", "integral_gaussian_complex", "integral_gaussian_complex_Ioi", "integral_gaussian_sq_complex", "integral_im", "integral_inner", "integral_inv", "integral_inv_one_add_sq", "integral_log", "integral_log_of_neg", "integral_mul_cexp_neg_mul_sq", "integral_mul_cpow_one_add_sq", "integral_mul_rpow_one_add_sq", "integral_ofReal", "integral_one", "integral_one_div", "integral_one_div_of_neg", "integral_one_div_of_pos", "integral_one_div_one_add_sq", "integral_pair", "integral_pow", "integral_pow_abs_sub_uIoc", "integral_re_add_im", "integral_rpow", "integral_rpow_mul_exp_neg_mul_rpow", "integral_rpow_mul_exp_neg_rpow", "integral_sin", "integral_sin_mul_cos_sq", "integral_sin_mul_cos\u2081", "integral_sin_mul_cos\u2082", "integral_sin_pow", "integral_sin_pow_aux", "integral_sin_pow_even", "integral_sin_pow_even_mul_cos_pow_even", "integral_sin_pow_mul_cos_pow_odd", "integral_sin_pow_odd", "integral_sin_pow_odd_mul_cos_pow", "integral_sin_pow_pos", "integral_sin_pow_succ_le", "integral_sin_pow_three", "integral_sin_sq", "integral_sin_sq_mul_cos", "integral_sin_sq_mul_cos_sq", "integral_smul_const", "integral_smul_fderiv_eq_neg_fderiv_smul_of_integrable", "integral_sqrt_one_sub_sq", "integral_univ_inv_one_add_sq", "integral_withDensity_eq_integral_smul", "integral_withDensity_eq_integral_smul\u2080", "integral_zpow", "intentClosure_empty", "intentClosure_swap", "intentClosure_union", "inter_extremePoints_subset_extremePoints_of_subset", "inter_maximals_preimage_inter_eq_of_rel_iff_rel_on", "inter_maximals_subset", "inter_mem_nhdsWithin", "inter_minimals_preimage_inter_eq_of_rel_iff_rel_on", "inter_minimals_subset", "inter_preimage_maximals_eq_of_rel_iff_rel_on_of_subset", "inter_preimage_minimals_eq_of_rel_iff_rel_on_of_subset", "interior_Icc", "interior_Ici", "interior_Ici'", "interior_Ico", "interior_Ioc", "interior_Ioi", "interior_Ioo", "interior_ae_eq_of_null_frontier", "interior_closedBall", "interior_closedBall'", "interior_compl", "interior_convexHull_nonempty_iff_affineSpan_eq_top", "interior_empty", "interior_eq_empty_iff_dense_compl", "interior_eq_iff_isOpen", "interior_eq_nhds", "interior_eq_nhds'", "interior_eq_univ", "interior_frontier", "interior_iInter_of_finite", "interior_iInter_subset", "interior_iInter\u2082_le_nat", "interior_iInter\u2082_lt_nat", "interior_inter", "interior_interior", "interior_maximal", "interior_mem_nhds", "interior_mem_uniformity", "interior_mono", "interior_pi_set", "interior_prod_eq", "interior_sInter", "interior_sInter_subset", "interior_smul", "interior_smul\u2080", "interior_sphere", "interior_sphere'", "interior_subset", "interior_subset_closure", "interior_subset_gauge_lt_one", "interior_subset_iff", "interior_union_isClosed_of_interior_empty", "intermediate_value_Icc", "intermediate_value_Ioc", "intermediate_value_Ioc'", "intermediate_value_Ioo'", "intermediate_value_uIcc", "intermediate_value_univ\u2082", "intermediate_value_univ\u2082_eventually\u2081", "intermediate_value_univ\u2082_eventually\u2082", "intervalIntegrable_iff", "intervalIntegrable_iff'", "intervalIntegrable_iff_integrableOn_Icc_of_le", "intervalIntegrable_iff_integrableOn_Ico_of_le", "intervalIntegrable_iff_integrableOn_Ioc_of_le", "intervalIntegrable_iff_integrableOn_Ioo_of_le", "intervalIntegrable_inv_iff", "intervalIntegrable_sub_inv_iff", "intervalIntegral.abs_integral_le_integral_abs", "intervalIntegral.abs_integral_mono_interval", "intervalIntegral.abs_intervalIntegral_eq", "intervalIntegral.continuousAt_of_dominated_interval", "intervalIntegral.continuousAt_parametric_primitive_of_dominated", "intervalIntegral.continuousOn_primitive", "intervalIntegral.continuousOn_primitive_Icc", "intervalIntegral.continuousOn_primitive_interval", "intervalIntegral.continuousOn_primitive_interval'", "intervalIntegral.continuousOn_primitive_interval_left", "intervalIntegral.continuousWithinAt_primitive", "intervalIntegral.continuous_of_dominated_interval", "intervalIntegral.continuous_primitive", "intervalIntegral.derivWithin_integral_left", "intervalIntegral.derivWithin_integral_of_tendsto_ae_left", "intervalIntegral.derivWithin_integral_of_tendsto_ae_right", "intervalIntegral.deriv_integral_left", "intervalIntegral.deriv_integral_of_tendsto_ae_right", "intervalIntegral.fderiv_integral", "intervalIntegral.fderiv_integral_of_tendsto_ae", "intervalIntegral.hasDerivAt_integral_of_dominated_loc_of_lip", "intervalIntegral.hasFDerivAt_integral_of_dominated_loc_of_lip", "intervalIntegral.hasFDerivAt_integral_of_dominated_of_fderiv_le", "intervalIntegral.hasSum_integral_of_dominated_convergence", "intervalIntegral.hasSum_intervalIntegral_of_summable_norm", "intervalIntegral.integrableOn_Ioo_cpow_iff", "intervalIntegral.integrableOn_Ioo_rpow_iff", "intervalIntegral.integrableOn_deriv_of_nonneg", "intervalIntegral.integrableOn_deriv_right_of_nonneg", "intervalIntegral.integral_Iic_add_Ioi", "intervalIntegral.integral_Iic_sub_Iic", "intervalIntegral.integral_Iio_add_Ici", "intervalIntegral.integral_add", "intervalIntegral.integral_add_adjacent_intervals", "intervalIntegral.integral_add_adjacent_intervals_cancel", "intervalIntegral.integral_cases", "intervalIntegral.integral_comp_add_div", "intervalIntegral.integral_comp_add_left", "intervalIntegral.integral_comp_add_mul", "intervalIntegral.integral_comp_add_right", "intervalIntegral.integral_comp_div", "intervalIntegral.integral_comp_div_add", "intervalIntegral.integral_comp_div_sub", "intervalIntegral.integral_comp_mul_add", "intervalIntegral.integral_comp_mul_deriv", "intervalIntegral.integral_comp_mul_deriv'", "intervalIntegral.integral_comp_mul_deriv''", "intervalIntegral.integral_comp_mul_deriv'''", "intervalIntegral.integral_comp_mul_left", "intervalIntegral.integral_comp_mul_right", "intervalIntegral.integral_comp_mul_sub", "intervalIntegral.integral_comp_neg", "intervalIntegral.integral_comp_smul_deriv", "intervalIntegral.integral_comp_smul_deriv''", "intervalIntegral.integral_comp_smul_deriv'''", "intervalIntegral.integral_comp_sub_div", "intervalIntegral.integral_comp_sub_left", "intervalIntegral.integral_comp_sub_mul", "intervalIntegral.integral_comp_sub_right", "intervalIntegral.integral_congr", "intervalIntegral.integral_congr_ae'", "intervalIntegral.integral_const", "intervalIntegral.integral_const'", "intervalIntegral.integral_const_mul", "intervalIntegral.integral_const_of_cdf", "intervalIntegral.integral_deriv_comp_mul_deriv", "intervalIntegral.integral_deriv_comp_mul_deriv'", "intervalIntegral.integral_deriv_comp_smul_deriv'", "intervalIntegral.integral_deriv_eq_sub", "intervalIntegral.integral_deriv_eq_sub'", "intervalIntegral.integral_deriv_mul_eq_sub_of_hasDerivWithinAt", "intervalIntegral.integral_deriv_mul_eq_sub_of_hasDeriv_right", "intervalIntegral.integral_div", "intervalIntegral.integral_eq_integral_of_support_subset", "intervalIntegral.integral_eq_sub_of_hasDerivAt", "intervalIntegral.integral_eq_sub_of_hasDerivAt_of_le", "intervalIntegral.integral_eq_sub_of_hasDerivAt_of_tendsto", "intervalIntegral.integral_eq_sub_of_hasDeriv_right", "intervalIntegral.integral_eq_sub_of_hasDeriv_right_of_le", "intervalIntegral.integral_eq_sub_of_hasDeriv_right_of_le_real", "intervalIntegral.integral_eq_zero_iff_of_le_of_nonneg_ae", "intervalIntegral.integral_eq_zero_iff_of_nonneg_ae", "intervalIntegral.integral_finset_sum", "intervalIntegral.integral_hasDerivAt_left", "intervalIntegral.integral_hasDerivAt_right", "intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_left", "intervalIntegral.integral_hasDerivWithinAt_of_tendsto_ae_right", "intervalIntegral.integral_hasDerivWithinAt_right", "intervalIntegral.integral_hasFDerivAt", "intervalIntegral.integral_hasFDerivAt_of_tendsto_ae", "intervalIntegral.integral_hasFDerivWithinAt", "intervalIntegral.integral_hasFDerivWithinAt_of_tendsto_ae", "intervalIntegral.integral_hasStrictDerivAt_left", "intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left", "intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_right", "intervalIntegral.integral_hasStrictDerivAt_right", "intervalIntegral.integral_hasStrictFDerivAt", "intervalIntegral.integral_hasStrictFDerivAt_of_tendsto_ae", "intervalIntegral.integral_indicator", "intervalIntegral.integral_interval_add_interval_comm", "intervalIntegral.integral_interval_sub_interval_comm", "intervalIntegral.integral_interval_sub_interval_comm'", "intervalIntegral.integral_interval_sub_left", "intervalIntegral.integral_le_sub_of_hasDeriv_right_of_le", "intervalIntegral.integral_lt_integral_of_ae_le_of_measure_setOf_lt_ne_zero", "intervalIntegral.integral_lt_integral_of_continuousOn_of_le_of_exists_lt", "intervalIntegral.integral_mono", "intervalIntegral.integral_mono_ae", "intervalIntegral.integral_mono_ae_restrict", "intervalIntegral.integral_mono_interval", "intervalIntegral.integral_mono_on", "intervalIntegral.integral_mul_const", "intervalIntegral.integral_mul_deriv_eq_deriv_mul", "intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivAt", "intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDerivWithinAt", "intervalIntegral.integral_mul_deriv_eq_deriv_mul_of_hasDeriv_right", "intervalIntegral.integral_neg", "intervalIntegral.integral_non_aestronglyMeasurable", "intervalIntegral.integral_nonneg_of_ae_restrict", "intervalIntegral.integral_ofReal", "intervalIntegral.integral_of_ge", "intervalIntegral.integral_of_le", "intervalIntegral.integral_pos_iff_support_of_nonneg_ae'", "intervalIntegral.integral_same", "intervalIntegral.integral_smul", "intervalIntegral.integral_smul_const", "intervalIntegral.integral_smul_measure", "intervalIntegral.integral_sub", "intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae", "intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left", "intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right", "intervalIntegral.integral_sub_linear_isLittleO_of_tendsto_ae", "intervalIntegral.integral_symm", "intervalIntegral.integral_undef", "intervalIntegral.integral_unitInterval_deriv_eq_sub", "intervalIntegral.integral_zero", "intervalIntegral.integral_zero_ae", "intervalIntegral.intervalIntegrable_cos", "intervalIntegral.intervalIntegrable_cpow", "intervalIntegral.intervalIntegrable_cpow'", "intervalIntegral.intervalIntegrable_deriv_of_nonneg", "intervalIntegral.intervalIntegrable_id", "intervalIntegral.intervalIntegrable_inv", "intervalIntegral.intervalIntegrable_of_integral_ne_zero", "intervalIntegral.intervalIntegrable_one_div", "intervalIntegral.intervalIntegrable_one_div_one_add_sq", "intervalIntegral.intervalIntegrable_pow", "intervalIntegral.intervalIntegrable_rpow", "intervalIntegral.intervalIntegrable_rpow'", "intervalIntegral.intervalIntegrable_zpow", "intervalIntegral.intervalIntegral_eq_integral_uIoc", "intervalIntegral.intervalIntegral_pos_of_pos", "intervalIntegral.intervalIntegral_pos_of_pos_on", "intervalIntegral.inv_mul_integral_comp_add_div", "intervalIntegral.inv_mul_integral_comp_div", "intervalIntegral.inv_mul_integral_comp_div_add", "intervalIntegral.inv_mul_integral_comp_div_sub", "intervalIntegral.inv_mul_integral_comp_sub_div", "intervalIntegral.inv_smul_integral_comp_add_div", "intervalIntegral.inv_smul_integral_comp_div", "intervalIntegral.inv_smul_integral_comp_div_add", "intervalIntegral.inv_smul_integral_comp_div_sub", "intervalIntegral.inv_smul_integral_comp_sub_div", "intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae", "intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left", "intervalIntegral.measure_integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_right", "intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae", "intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae'", "intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge", "intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_ge'", "intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le", "intervalIntegral.mul_integral_comp_add_mul", "intervalIntegral.mul_integral_comp_mul_add", "intervalIntegral.mul_integral_comp_mul_left", "intervalIntegral.mul_integral_comp_mul_right", "intervalIntegral.mul_integral_comp_mul_sub", "intervalIntegral.mul_integral_comp_sub_mul", "intervalIntegral.norm_integral_eq_norm_integral_Ioc", "intervalIntegral.norm_integral_le_abs_integral_norm", "intervalIntegral.norm_integral_le_integral_norm", "intervalIntegral.norm_integral_le_of_norm_le", "intervalIntegral.norm_integral_le_of_norm_le_const", "intervalIntegral.norm_integral_le_of_norm_le_const_ae", "intervalIntegral.norm_integral_min_max", "intervalIntegral.norm_intervalIntegral_eq", "intervalIntegral.smul_integral_comp_add_mul", "intervalIntegral.smul_integral_comp_mul_add", "intervalIntegral.smul_integral_comp_mul_left", "intervalIntegral.smul_integral_comp_mul_right", "intervalIntegral.smul_integral_comp_sub_mul", "intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le", "intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le_Ico", "intervalIntegral.sum_integral_adjacent_intervals", "intervalIntegral.sum_integral_adjacent_intervals_Ico", "intervalIntegral.tendsto_integral_filter_of_dominated_convergence", "interval_average_eq", "interval_average_eq_div", "interval_average_symm", "intrinsicClosure_diff_intrinsicFrontier", "intrinsicClosure_diff_intrinsicInterior", "intrinsicClosure_empty", "intrinsicClosure_eq_closure", "intrinsicClosure_idem", "intrinsicClosure_mono", "intrinsicClosure_nonempty", "intrinsicClosure_singleton", "intrinsicClosure_subset_affineSpan", "intrinsicFrontier_singleton", "intrinsicFrontier_subset", "intrinsicFrontier_union_intrinsicInterior", "intrinsicInterior_empty", "intrinsicInterior_nonempty", "intrinsicInterior_singleton", "intrinsicInterior_subset", "intrinsicInterior_union_intrinsicFrontier", "invMonoidHom_apply", "invOf_add_invOf", "invOf_div", "invOf_eq_group_inv", "invOf_eq_inv", "invOf_lt_zero", "invOf_mul", "invOf_mul_eq_iff_eq_mul_left", "invOf_mul_self", "invOf_mul_self_assoc", "invOf_mul_self_assoc'", "invOf_neg", "invOf_nonneg", "invOf_nonpos", "invOf_one", "invOf_one'", "invOf_pos", "invOf_pow", "invOf_smul_smul", "invOf_sub_invOf", "invOf_two_add_invOf_two", "invOf_two_smul_add_invOf_two_smul", "invOf_units", "inv_antitoneOn_Icc_left", "inv_antitoneOn_Icc_right", "inv_antitoneOn_Iio", "inv_antitoneOn_Ioi", "inv_atTop\u2080", "inv_card_commutator_le_commProb", "inv_closedBall", "inv_coe_set", "inv_comp_inv", "inv_cthickening", "inv_div", "inv_div'", "inv_div_inv", "inv_div_left", "inv_eq_iff_eq_inv", "inv_eq_iff_mul_eq_one", "inv_eq_of_aeval_divX_ne_zero", "inv_eq_of_mul", "inv_eq_of_mul_eq_one_left", "inv_eq_of_mul_eq_one_right", "inv_eq_of_root_of_coeff_zero_ne_zero", "inv_eq_one", "inv_eq_one_div", "inv_eq_one_divp", "inv_eq_self_of_exponent_two", "inv_eq_self_of_orderOf_eq_two", "inv_eq_zero", "inv_gold", "inv_goldConj", "inv_inf", "inv_inj", "inv_injective", "inv_inv", "inv_involutive", "inv_le", "inv_le'", "inv_le_div_iff_le_mul", "inv_le_iff_one_le_mul", "inv_le_iff_one_le_mul'", "inv_le_inv", "inv_le_inv_iff", "inv_le_inv_of_le", "inv_le_inv_of_neg", "inv_le_inv\u2080", "inv_le_mabs", "inv_le_of_inv_le", "inv_le_of_neg", "inv_le_one", "inv_le_one_iff", "inv_le_one\u2080", "inv_le_self_iff", "inv_lt", "inv_lt'", "inv_lt_div_iff_lt_mul", "inv_lt_iff_one_lt_mul'", "inv_lt_inv", "inv_lt_inv'", "inv_lt_inv_iff", "inv_lt_inv_of_lt", "inv_lt_inv\u2080", "inv_lt_of_inv_lt", "inv_lt_of_mabs_lt", "inv_lt_one", "inv_lt_one_iff", "inv_lt_one_iff_of_pos", "inv_lt_one_of_one_lt", "inv_lt_self_iff", "inv_lt_zero", "inv_mabs_le", "inv_mabs_le_inv", "inv_mem_connectedComponent_one", "inv_mem_iff", "inv_mul'", "inv_mul_cancel", "inv_mul_cancel_comm", "inv_mul_cancel_comm_assoc", "inv_mul_cancel_left", "inv_mul_cancel_left\u2080", "inv_mul_cancel_of_invertible", "inv_mul_cancel_right", "inv_mul_eq_div", "inv_mul_eq_iff_eq_mul", "inv_mul_eq_iff_eq_mul\u2080", "inv_mul_eq_of_eq_mul", "inv_mul_eq_one", "inv_mul_le_iff", "inv_mul_le_iff_le_mul", "inv_mul_le_iff_le_mul'", "inv_mul_le_one_iff", "inv_mul_le_one_of_le", "inv_mul_lt_iff", "inv_mul_lt_iff'", "inv_mul_lt_iff_lt_mul", "inv_mul_lt_iff_lt_mul'", "inv_mul_lt_one_iff", "inv_mul_lt_one_iff_lt", "inv_mul_mul_self", "inv_mul_self", "inv_natCast_smul_eq", "inv_ne_zero", "inv_neg", "inv_neg'", "inv_neg_one", "inv_nhdsWithin_Ioi_zero", "inv_nonneg", "inv_nonpos", "inv_norm_smul_mem_closed_unit_ball", "inv_one", "inv_pos", "inv_pos_le_iff_one_le_mul", "inv_pos_le_iff_one_le_mul'", "inv_pos_lt_iff_one_lt_mul", "inv_pos_lt_iff_one_lt_mul'", "inv_pow", "inv_pow_anti", "inv_pow_le_inv_pow_of_le", "inv_pow_sub", "inv_pow_sub_of_lt", "inv_pow_sub\u2080", "inv_smul_eq_iff", "inv_smul_eq_iff\u2080", "inv_smul_le_iff_of_neg", "inv_smul_le_iff_of_pos", "inv_smul_lt_iff_of_neg", "inv_smul_lt_iff_of_pos", "inv_smul_smul", "inv_smul_smul\u2080", "inv_strictAntiOn", "inv_sub_inv", "inv_sub_inv'", "inv_sup", "inv_thickening", "inv_zpow", "invertible_unique", "irrational_add_rat_iff", "irrational_div_int_iff", "irrational_div_nat_iff", "irrational_div_rat_iff", "irrational_iff_ne_rational", "irrational_int_div_iff", "irrational_int_mul_iff", "irrational_int_sub_iff", "irrational_inv_iff", "irrational_mul_int_iff", "irrational_mul_nat_iff", "irrational_mul_rat_iff", "irrational_nat_add_iff", "irrational_nat_div_iff", "irrational_nat_mul_iff", "irrational_nat_sub_iff", "irrational_nrt_of_n_not_dvd_multiplicity", "irrational_nrt_of_notint_nrt", "irrational_rat_mul_iff", "irrational_rat_sub_iff", "irrational_sqrt_intCast_iff", "irrational_sqrt_intCast_iff_of_nonneg", "irrational_sqrt_natCast_iff", "irrational_sqrt_of_multiplicity_odd", "irrational_sqrt_ratCast_iff", "irrational_sqrt_ratCast_iff_of_nonneg", "irrational_sqrt_rat_iff", "irrational_sqrt_two", "irrational_sub_nat_iff", "irrational_sub_rat_iff", "irreducibleComponent_mem_irreducibleComponents", "irreducibleComponent_subset_connectedComponent", "irreducibleComponents_eq_maximals_closed", "irreducibleSpace_def", "irreducible_X_pow_sub_C_of_root_adjoin_eq_top", "irreducible_iff", "irreducible_iff_prime", "irreducible_iff_prime_of_exists_prime_factors", "irreducible_iff_prime_of_exists_unique_irreducible_factors", "irreducible_isUnit_mul", "irreducible_mul_iff", "irreducible_mul_isUnit", "irreducible_mul_units", "irreducible_or_factor", "irreducible_pow_sup", "irreducible_pow_sup_of_ge", "irreducible_pow_sup_of_le", "irreducible_sq_not_dvd_iff_eq_zero_and_no_irreducibles_or_squarefree", "irreducible_units_mul", "irrefl", "irrefl_of", "isAddCyclic_additive_iff", "isAddFundamentalDomain_Ioc", "isAddFundamentalDomain_Ioc'", "isAdic_iff", "isAdjointPair_toBilin", "isAdjointPair_toBilin'", "isAdjointPair_toLinearMap\u2082", "isAdjointPair_toLinearMap\u2082'", "isAlgClosure_iff", "isAlgebraic_algHom_iff", "isAlgebraic_algebraMap", "isAlgebraic_algebraMap_iff", "isAlgebraic_iff_isIntegral", "isAlgebraic_iff_not_injective", "isAlgebraic_int", "isAlgebraic_nat", "isAlgebraic_of_isFractionRing", "isAlgebraic_of_isLocalization", "isAlgebraic_of_mem_rootSet", "isAlgebraic_one", "isAlgebraic_rat", "isAlgebraic_zero", "isAntichain_and_least_iff", "isAntichain_iff_forall_not_lt", "isAntichain_insert", "isAntichain_singleton", "isArtinian_iff_wellFounded", "isArtinian_of_fg_of_artinian", "isArtinian_of_le", "isArtinian_of_range_eq_ker", "isArtinian_of_submodule_of_artinian", "isArtinian_of_surjective", "isArtinian_of_tower", "isAtom_compl", "isAtom_dual_iff_isCoatom", "isAtom_iff_le_of_ge", "isAtomic_iff_forall_isAtomic_Iic", "isAtomic_of_orderBot_wellFounded_lt", "isAtomistic_dual_iff_isCoatomistic", "isBigO_at_im_infty_jacobiTheta_sub_one", "isBigO_deriv_rpow_const_atTop", "isBigO_norm_Icc_restrict_atBot", "isBigO_norm_Icc_restrict_atTop", "isBigO_norm_restrict_cocompact", "isBigO_riemannZeta_sub_one_div", "isBigO_rpow_top_log_smul", "isBigO_rpow_zero_log_smul", "isBot_bot", "isBot_iff_eq_bot", "isBot_iff_isMin", "isBot_ofDual_iff", "isBot_or_exists_lt", "isBoundedBilinearMap_apply", "isBoundedBilinearMap_inner", "isBoundedBilinearMap_mul", "isBoundedBilinearMap_smul", "isBoundedBilinearMap_smulRight", "isBoundedLinearMap_continuousMultilinearMap_comp_linear", "isBoundedLinearMap_prod_multilinear", "isBounded_add", "isBounded_ge_nhds", "isBounded_iff_forall_norm_le'", "isBounded_le_nhds", "isBounded_mul", "isBounded_pow", "isBounded_sub", "isCancelMulZero_iff_isDomain_or_subsingleton", "isCancelMulZero_iff_noZeroDivisors", "isCauSeq_iff_cauchySeq", "isCauSeq_neg", "isChain_empty", "isChain_of_trichotomous", "isChain_univ_iff", "isClopen_biInter_finset", "isClopen_biUnion_finset", "isClopen_compl_iff", "isClopen_connectedComponent", "isClopen_discrete", "isClopen_empty", "isClopen_iInter", "isClopen_iInter_of_finite", "isClopen_iInter\u2082", "isClopen_iUnion\u2082", "isClopen_iff", "isClopen_iff_frontier_eq_empty", "isClopen_inter_of_disjoint_cover_clopen", "isClopen_range_inl", "isClopen_range_inr", "isClopen_range_sigmaMk", "isClopen_sInter", "isClosedMap_const", "isClosedMap_div_left", "isClosedMap_fst_of_compactSpace", "isClosedMap_iff_closure_image", "isClosedMap_iff_clusterPt", "isClosedMap_iff_isClosedMap_of_iSup_eq_top", "isClosedMap_mul_left", "isClosedMap_mul_right", "isClosedMap_ofAdd", "isClosedMap_ofDual", "isClosedMap_sigmaMk", "isClosedMap_smul", "isClosedMap_smul_left", "isClosedMap_smul\u2080", "isClosedMap_snd_of_compactSpace", "isClosedMap_swap", "isClosedMap_toDual", "isClosedMap_toMul", "isClosed_Icc", "isClosed_Ici", "isClosed_Iic", "isClosed_and_discrete_iff", "isClosed_biInter", "isClosed_biUnion_finset", "isClosed_closure", "isClosed_coinduced", "isClosed_compl_iff", "isClosed_connectedComponent", "isClosed_diagonal", "isClosed_empty", "isClosed_eq", "isClosed_fixedPoints", "isClosed_frontier", "isClosed_iInter", "isClosed_iSup_iff", "isClosed_iUnion", "isClosed_iUnion_of_finite", "isClosed_iUnion\u2082", "isClosed_iff_clusterPt", "isClosed_iff_coe_preimage_of_iSup_eq_top", "isClosed_iff_forall_filter", "isClosed_iff_frequently", "isClosed_iff_nhds", "isClosed_iff_ultrafilter", "isClosed_imp", "isClosed_induced_iff", "isClosed_induced_iff'", "isClosed_innerDualCone", "isClosed_intrinsicClosure", "isClosed_irreducibleComponent", "isClosed_isNowhereDense_iff_compl", "isClosed_le", "isClosed_le_of_isClosed_nonneg", "isClosed_le_prod", "isClosed_mulTSupport", "isClosed_nonneg", "isClosed_of_closure_subset", "isClosed_of_mem_irreducibleComponents", "isClosed_of_spaced_out", "isClosed_omegaLimit", "isClosed_preCantorSet", "isClosed_property", "isClosed_property3", "isClosed_range_inl", "isClosed_range_inr", "isClosed_range_of_spaced_out", "isClosed_range_sigmaMk", "isClosed_sInter", "isClosed_sUnion", "isClosed_setOf_clusterPt", "isClosed_setOf_inseparable", "isClosed_setOf_isCompactOperator", "isClosed_setOf_lipschitzOnWith", "isClosed_setOf_map_inv", "isClosed_setOf_map_mul", "isClosed_setOf_map_smul", "isClosed_setOf_specializes", "isClosed_set_pi", "isClosed_sigma_iff", "isClosed_singleton", "isClosed_stdSimplex", "isClosed_sum_iff", "isClosed_univ", "isCoatom_bot", "isCoatom_compl", "isCoatom_dual_iff_isAtom", "isCoatom_iff_ge_of_le", "isCoatomic_dual_iff_isAtomic", "isCoatomic_of_isAtomic_of_complementedLattice_of_isModular", "isCobounded_ge_nhds", "isCobounded_le_nhds", "isCompactOperator_iff_exists_mem_nhds_image_subset_compact", "isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image", "isCompactOperator_iff_image_closedBall_subset_compact", "isCompactOperator_iff_isCompact_closure_image_ball", "isCompactOperator_iff_isCompact_closure_image_closedBall", "isCompact_accumulate", "isCompact_cantorSet", "isCompact_closure_singleton", "isCompact_compactCovering", "isCompact_diagonal", "isCompact_empty", "isCompact_iUnion", "isCompact_iff_compactSpace", "isCompact_iff_finite", "isCompact_iff_finite_subcover", "isCompact_iff_finite_subfamily_closed", "isCompact_iff_isCompact_univ", "isCompact_iff_ultrafilter_le_nhds", "isCompact_iff_ultrafilter_le_nhds'", "isCompact_of_finite_subcover", "isCompact_of_finite_subfamily_closed", "isCompact_open_iff_eq_finite_iUnion_of_isTopologicalBasis", "isCompact_pi_infinite", "isCompact_range", "isCompact_range_of_mulSupport_subset_isCompact", "isCompact_singleton", "isCompact_sphere", "isCompact_stdSimplex", "isCompact_uIcc", "isCompact_univ", "isCompact_univ_iff", "isCompact_univ_pi", "isCompl_bot_top", "isCompl_comm", "isCompl_compl", "isCompl_iff", "isCompl_ofDual_iff", "isCompl_toDual_iff", "isComplemented_bot", "isComplemented_top", "isComplete_iUnion_separated", "isComplete_iff_clusterPt", "isComplete_iff_ultrafilter", "isComplete_iff_ultrafilter'", "isComplete_image_iff", "isConformalMap_complex_linear", "isConformalMap_const_smul", "isConformalMap_id", "isConformalMap_iff", "isConformalMap_iff_is_complex_or_conj_linear", "isConformalMap_of_subsingleton", "isConj_comm", "isConj_iff", "isConj_iff_conjugatesOf_eq", "isConj_iff_eq", "isConj_iff\u2080", "isConj_one_left", "isConj_one_right", "isConnected_Icc", "isConnected_Ici", "isConnected_Iic", "isConnected_Iio", "isConnected_Ioc", "isConnected_Ioi", "isConnected_Ioo", "isConnected_compl_singleton_of_one_lt_rank", "isConnected_connectedComponentIn_iff", "isConnected_iff_connectedSpace", "isConnected_iff_sUnion_disjoint_open", "isConnected_range", "isConnected_setOf_sameRay", "isConnected_setOf_sameRay_and_ne_zero", "isConnected_sphere", "isConnected_univ", "isConnected_univ_pi", "isCoprime_div_gcd_div_gcd", "isCoprime_group_smul", "isCoprime_group_smul_left", "isCoprime_group_smul_right", "isCoprime_mul_unit_left_left", "isCoprime_mul_unit_left_right", "isCoprime_mul_unit_right", "isCoprime_mul_unit_right_left", "isCoprime_mul_unit_right_right", "isCoprime_of_dvd", "isCoprime_of_gcd_eq_one_of_FLT", "isCoprime_of_irreducible_dvd", "isCoprime_one_left", "isCoprime_one_right", "isCoprime_self", "isCoprime_zero_left", "isCoprime_zero_right", "isCornerFree_empty", "isCornerFree_iff", "isCornerFree_image", "isCornerFree_singleton", "isCoveringMap_iff_isCoveringMapOn_univ", "isCycle_finRotate", "isCycle_finRotate_of_le", "isCyclic_iff_exists_ofOrder_eq_natCard", "isCyclic_multiplicative_iff", "isCyclic_of_card_pow_eq_one_le", "isCyclic_of_orderOf_eq_card", "isCyclic_of_prime_card", "isCyclic_of_subgroup_isDomain", "isCyclic_of_surjective", "isCyclic_tfae", "isDedekindDomainInv_iff", "isDedekindDomain_iff", "isDedekindDomain_iff_isDedekindDomainInv", "isDirected_mono", "isDivSequence_id", "isDomain_iff_cancelMulZero_and_nontrivial", "isEllDivSequence_id", "isEmpty_Prop", "isEmpty_algebraRat_iff_mixedCharZero", "isEmpty_fun", "isEmpty_iff", "isEmpty_or_nonempty", "isEmpty_pi", "isEmpty_plift", "isEmpty_pprod", "isEmpty_prod", "isEmpty_psigma", "isEmpty_psum", "isEmpty_sigma", "isEmpty_subtype", "isEmpty_sum", "isEmpty_ulift", "isExposed_empty", "isExtrFilter_const", "isExtrFilter_dual_iff", "isExtrOn_const", "isExtrOn_dual_iff", "isExtreme_biInter", "isExtreme_iInter", "isExtreme_sInter", "isExtreme_singleton", "isField_of_isIntegral_of_isField", "isField_of_isIntegral_of_isField'", "isFiniteMeasure_iff_isFiniteMeasureOnCompacts_of_compactSpace", "isFixedPt_of_tendsto_iterate", "isFwInvariant_iff_isInvariant", "isGLB_Icc", "isGLB_Ico", "isGLB_Ioc", "isGLB_Ioi", "isGLB_Ioo", "isGLB_biInf", "isGLB_ciInf", "isGLB_csInf", "isGLB_empty", "isGLB_iff_le_iff", "isGLB_iff_sInf_eq", "isGLB_infClosure", "isGLB_lt_iff", "isGLB_lt_isLUB_of_ne", "isGLB_of_mem_closure", "isGLB_of_mem_nhds", "isGLB_of_tendsto_atTop", "isGLB_pi", "isGLB_quotient_norm", "isGLB_singleton", "isGLB_univ", "isGalois_iff_isGalois_bot", "isGalois_of_isSplittingField_X_pow_sub_C", "isGenericPoint_iff_forall_closed", "isGenericPoint_iff_specializes", "isGreatest_Icc", "isGreatest_Iic", "isGreatest_singleton", "isGreatest_top_iff", "isGreatest_union_iff", "isGreatest_univ", "isGreatest_univ_iff", "isG\u03b4_iff_eq_iInter_nat", "isHomeomorphicTrivialFiberBundle_fst", "isHomeomorphicTrivialFiberBundle_snd", "isInteger_of_is_root_of_monic", "isIntegralCurveAt_comp_add", "isIntegralCurveAt_comp_mul_ne_zero", "isIntegralCurveAt_eventuallyEq_of_contMDiffAt", "isIntegralCurveAt_eventuallyEq_of_contMDiffAt_boundaryless", "isIntegralCurveAt_iff", "isIntegralCurveAt_iff'", "isIntegralCurveOn_Ioo_eqOn_of_contMDiff", "isIntegralCurveOn_comp_add", "isIntegralCurveOn_comp_mul_ne_zero", "isIntegralCurve_Ioo_eq_of_contMDiff_boundaryless", "isIntegralCurve_comp_add", "isIntegralCurve_comp_mul_ne_zero", "isIntegralCurve_const", "isIntegralCurve_eq_of_contMDiff", "isIntegralCurve_iff_isIntegralCurveOn", "isIntegral_algEquiv", "isIntegral_algHom_iff", "isIntegral_algebraMap", "isIntegral_discr_mul_of_mem_traceDual", "isIntegral_iff_isIntegral_closure_finite", "isIntegral_leadingCoeff_smul", "isIntegral_localization", "isIntegral_localization'", "isIntegral_of_noetherian", "isIntegral_of_smul_mem_submodule", "isIntegral_quotientMap_iff", "isIntegral_trans", "isIntegral_zero", "isIntegrallyClosedIn_iff", "isIntegrallyClosed_iff", "isIntegrallyClosed_iff_isIntegralClosure", "isInvariant_iff_image", "isIrreducible_iff_sInter", "isIrreducible_iff_sUnion_closed", "isIrreducible_iff_singleton", "isIrreducible_irreducibleComponent", "isIrreducible_singleton", "isLUB_Icc", "isLUB_Ico", "isLUB_Iic", "isLUB_Iio", "isLUB_Ioo", "isLUB_biSup", "isLUB_ciSup", "isLUB_csSup", "isLUB_csSup'", "isLUB_empty", "isLUB_empty_iff", "isLUB_hasProd", "isLUB_iff_le_iff", "isLUB_inv", "isLUB_inv'", "isLUB_lowerBounds", "isLUB_lt_iff", "isLUB_of_mem_closure", "isLUB_of_mem_nhds", "isLUB_of_tendsto_atBot", "isLUB_pair", "isLUB_pi", "isLUB_prod", "isLUB_sSup", "isLeast_Ici", "isLeast_bot_iff", "isLeast_csInf", "isLeast_singleton", "isLeast_union_iff", "isLeast_univ", "isLeast_univ_iff", "isLeftRegular_of_non_zero_divisor", "isLeftRegular_star_iff", "isLeftRegular_zero_iff_subsingleton", "isLindelof_accumulate", "isLindelof_diagonal", "isLindelof_empty", "isLindelof_iUnion", "isLindelof_iff_countable", "isLindelof_iff_countable_subcover", "isLindelof_iff_countable_subfamily_closed", "isLindelof_iff_isLindelof_univ", "isLindelof_of_countable_subcover", "isLindelof_of_countable_subfamily_closed", "isLindelof_open_iff_eq_countable_iUnion_of_isTopologicalBasis", "isLindelof_range", "isLindelof_singleton", "isLittleO_abs_log_rpow_rpow_nhds_zero", "isLittleO_coe_const_pow_of_one_lt", "isLittleO_exp_neg_mul_rpow_atTop", "isLittleO_exp_neg_mul_sq_cocompact", "isLittleO_log_rpow_atTop", "isLittleO_log_rpow_nhds_zero", "isLittleO_log_rpow_rpow_atTop", "isLittleO_pow_const_const_pow_of_one_lt", "isLittleO_pow_const_mul_const_pow_const_pow_of_norm_lt", "isLittleO_pow_pow_of_abs_lt_left", "isLittleO_pow_pow_of_lt_left", "isLittleO_rpow_exp_atTop", "isLittleO_rpow_exp_pos_mul_atTop", "isLittleO_zpow_exp_pos_mul_atTop", "isLocalDiffeomorphOn_iff", "isLocalExtr_const", "isLocalHomeomorphOn_iff_openEmbedding_restrict", "isLocalHomeomorph_expMapCircle", "isLocalHomeomorph_iff_openEmbedding_restrict", "isLocalMaxOn_const", "isLocalMax_const", "isLocalMinOn_const", "isLocalMin_const", "isLocalRingHom_of_comp", "isLocalRingHom_of_iso", "isLocalRingHom_of_le_jacobson_bot", "isLocalStructomorphOn_contDiffGroupoid_iff", "isLocalStructomorphOn_contDiffGroupoid_iff_aux", "isLocalizedModule_id", "isLocalizedModule_iff_isBaseChange", "isLocalizedModule_iff_isLocalization", "isLocalizedModule_iff_isLocalization'", "isLocallyInjective_iff_isOpenMap", "isLocallyInjective_iff_isOpen_diagonal", "isLocallyInjective_iff_nhds", "isLowerSet_Iic", "isLowerSet_Iio", "isLowerSet_compl", "isLowerSet_iInter", "isLowerSet_iUnion", "isLowerSet_iUnion\u2082", "isLowerSet_iff_Iic_subset", "isLowerSet_iff_Iio_subset", "isLowerSet_iff_forall_lt", "isLowerSet_preimage_ofDual_iff", "isLowerSet_preimage_toDual_iff", "isLowerSet_sInter", "isLowerSet_setOf", "isLowerSet_univ", "isMaxFilter_dual_iff", "isMaxOn_const", "isMaxOn_iff", "isMax_grade_iff", "isMax_iff_eq_top", "isMax_toDual_iff", "isMax_top", "isMeagre_iUnion", "isMeagre_iff_countable_union_isNowhereDense", "isMinFilter_dual_iff", "isMinOn_dual_iff", "isMinOn_iff", "isMinOn_univ_iff", "isMin_bot", "isMin_iff_eq_bot", "isMin_iff_forall_not_lt", "isMin_ofDual_iff", "isMinimal_iff_closed_smul_invariant", "isModularLattice_iff_inf_sup_inf_assoc", "isMulFreimanHom_const", "isMulFreimanHom_id", "isMulFreimanIso_empty", "isMulFreimanIso_id", "isNilpotent_neg_iff", "isNilpotent_of_finite_tfae", "isNilpotent_of_ker_le_center", "isNilpotent_of_pos_nilpotencyClass", "isNilpotent_of_product_of_sylow_group", "isNilpotent_pi_of_bounded_class", "isNilpotent_sum", "isNoetherianRing_iff", "isNoetherianRing_of_ringEquiv", "isNoetherianRing_of_surjective", "isNoetherian_adjoin_finset", "isNoetherian_def", "isNoetherian_iff_fg_wellFounded", "isNoetherian_iff_wellFounded", "isNoetherian_of_fg_of_noetherian", "isNoetherian_of_injective", "isNoetherian_of_le", "isNoetherian_of_range_eq_ker", "isNoetherian_of_submodule_of_noetherian", "isNoetherian_of_surjective", "isNoetherian_of_tower", "isNoetherian_span_of_finite", "isNoetherian_submodule", "isNoetherian_submodule_right", "isNoetherian_top_iff", "isNormalSubgroup_of_commGroup", "isNowhereDense_empty", "isOfFinAddOrder_ofMul_iff", "isOfFinOrder_iff_pow_eq_one", "isOfFinOrder_iff_zpow_eq_one", "isOfFinOrder_inv_iff", "isOfFinOrder_ofAdd_iff", "isOfFinOrder_of_finite", "isOfFinOrder_one", "isOpenMap_barycentric_coord", "isOpenMap_div_left", "isOpenMap_div_right", "isOpenMap_eval", "isOpenMap_fst", "isOpenMap_iff_interior", "isOpenMap_iff_nhds_le", "isOpenMap_inl", "isOpenMap_inr", "isOpenMap_mul_left", "isOpenMap_mul_right", "isOpenMap_ofAdd", "isOpenMap_prod_of_discrete_left", "isOpenMap_prod_of_discrete_right", "isOpenMap_quotient_mk'_mul", "isOpenMap_sigma", "isOpenMap_sigmaMk", "isOpenMap_sigma_map", "isOpenMap_smul", "isOpenMap_smul_of_sigmaCompact", "isOpenMap_snd", "isOpenMap_sum", "isOpenMap_sum_elim", "isOpenMap_toAdd", "isOpenMap_toDual", "isOpenMap_toWeakSpace_symm", "isOpen_Ioi", "isOpen_Ioo", "isOpen_analyticAt", "isOpen_biInter_finset", "isOpen_biUnion", "isOpen_cPolynomialAt", "isOpen_coinduced", "isOpen_compl_iff", "isOpen_compl_singleton", "isOpen_const", "isOpen_empty", "isOpen_extChartAt_preimage", "isOpen_extChartAt_source", "isOpen_extChartAt_target", "isOpen_exterior", "isOpen_fold", "isOpen_gt'", "isOpen_iInter", "isOpen_iInter_of_finite", "isOpen_iInter\u2082", "isOpen_iSup_iff", "isOpen_iUnion", "isOpen_iff_ball_subset", "isOpen_iff_coe_preimage_of_iSup_eq_top", "isOpen_iff_continuous_mem", "isOpen_iff_eventually", "isOpen_iff_forall_mem_open", "isOpen_iff_forall_specializes", "isOpen_iff_generate_intervals", "isOpen_iff_inter_of_iSup_eq_top", "isOpen_iff_mem_nhds", "isOpen_iff_nhds", "isOpen_iff_of_cover", "isOpen_iff_open_ball_subset", "isOpen_iff_ultrafilter", "isOpen_iff_ultrafilter'", "isOpen_implies_isOpen_iff", "isOpen_induced_iff", "isOpen_inter_eq_singleton_of_mem_discrete", "isOpen_interior", "isOpen_lt", "isOpen_lt'", "isOpen_lt_prod", "isOpen_mk", "isOpen_ne", "isOpen_pi_iff", "isOpen_pi_iff'", "isOpen_prod_iff", "isOpen_prod_iff'", "isOpen_range_inl", "isOpen_range_inr", "isOpen_sInter", "isOpen_setOf_disjoint_nhds_nhds", "isOpen_setOf_eventually_nhds", "isOpen_setOf_eventually_nhdsWithin", "isOpen_setOf_nat_le_rank", "isOpen_set_pi", "isOpen_sigma_fst_preimage", "isOpen_singleton_iff_nhds_eq_pure", "isOpen_singleton_iff_punctured_nhds", "isOpen_singleton_nhdsAdjoint", "isOpen_singleton_of_finite_mem_nhds", "isOpen_singleton_true", "isOpen_sum_iff", "isOpen_sup", "isOpen_uniformity", "isOpen_univ", "isOrderBornology_iff_eq_orderBornology", "isOrderRightAdjoint_sSup", "isPathConnected_compl_of_isPathConnected_compl_zero", "isPathConnected_compl_of_one_lt_codim", "isPathConnected_compl_singleton_of_one_lt_rank", "isPathConnected_iff", "isPathConnected_iff_eq", "isPathConnected_iff_pathConnectedSpace", "isPathConnected_range", "isPathConnected_singleton", "isPathConnected_sphere", "isPeriodicPt_mul_iff_pow_eq_one", "isPiSystem_Icc_mem", "isPiSystem_Ico_mem", "isPiSystem_Iic", "isPiSystem_Iio", "isPiSystem_Ioc_mem", "isPiSystem_Ioi", "isPiSystem_Ioo_mem", "isPiSystem_Ixx", "isPiSystem_Ixx_mem", "isPiSystem_generatePiSystem", "isPiSystem_iUnion_of_monotone", "isPiSystem_image_Ici", "isPiSystem_image_Iic", "isPiSystem_image_Ioi", "isPiSystem_pi", "isPiSystem_piiUnionInter", "isPreconnected_Icc", "isPreconnected_Icc_aux", "isPreconnected_Ici", "isPreconnected_Ico", "isPreconnected_Iic", "isPreconnected_closed_iff", "isPreconnected_connectedComponent", "isPreconnected_connectedComponentIn", "isPreconnected_empty", "isPreconnected_iUnion", "isPreconnected_iff_ordConnected", "isPreconnected_iff_preconnectedSpace", "isPreconnected_iff_subset_of_disjoint", "isPreconnected_iff_subset_of_fully_disjoint_closed", "isPreconnected_of_forall", "isPreconnected_of_forall_constant", "isPreconnected_of_forall_pair", "isPreconnected_range", "isPreconnected_singleton", "isPreconnected_sphere", "isPreconnected_uIcc", "isPreconnected_univ_pi", "isPreirreducible_empty", "isPreirreducible_iff_closed_union_closed", "isPreirreducible_iff_subsingleton", "isPrimal_zero", "isPrimePow_def", "isPrimePow_iff_card_primeFactors_eq_one", "isPrimePow_iff_factorization_eq_single", "isPrimePow_iff_pow_succ", "isPrimePow_iff_unique_prime_dvd", "isPrimePow_nat_iff", "isPrimePow_nat_iff_bounded", "isPrimePow_of_minFac_pow_factorization_eq", "isPrimePow_pow_iff", "isPrimitiveRoot_of_mem_primitiveRoots", "isProperMap_id", "isProperMap_iff_isClosedMap_and_compact_fibers", "isProperMap_iff_isClosedMap_and_tendsto_cofinite", "isProperMap_iff_isClosedMap_filter", "isProperMap_iff_isClosedMap_ultrafilter", "isProperMap_iff_isCompact_preimage", "isProperMap_iff_tendsto_cocompact", "isProperMap_iff_ultrafilter", "isProperMap_iff_ultrafilter_of_t2", "isProperMap_iff_universally_closed", "isProperMap_of_closedEmbedding", "isProperMap_of_comp_of_inj", "isProperMap_of_comp_of_surj", "isProperMap_of_comp_of_t2", "isProperMap_of_isClosedMap_of_inj", "isProperMap_restr_of_proper_of_closed", "isProperMap_smul", "isProperMap_subtype_val_of_closed", "isPurelyInseparable_iff", "isPurelyInseparable_iff_fd_isPurelyInseparable", "isPurelyInseparable_iff_minpoly_eq_X_pow_sub_C", "isPurelyInseparable_iff_minpoly_eq_X_sub_C_pow", "isPurelyInseparable_iff_natSepDegree_eq_one", "isPurelyInseparable_iff_perfectClosure_eq_top", "isPurelyInseparable_iff_pow_mem", "isPurelyInseparable_of_finSepDegree_eq_one", "isQuasiSeparated_iff_quasiSeparatedSpace", "isQuasiSeparated_univ", "isQuasiregular_iff", "isQuasiregular_iff_isUnit", "isQuasiregular_iff_isUnit'", "isQuasiregular_zero", "isRadical_iff_pow_one_lt", "isRadical_iff_span_singleton", "isRadical_iff_squarefree_of_ne_zero", "isRadical_iff_squarefree_or_zero", "isReduced_iff_pow_one_lt", "isReduced_ofLocalizationMaximal", "isReduced_of_injective", "isReduced_zmod", "isRegular_iff_ne_zero", "isRegular_iff_subsingleton", "isRegular_mul_and_mul_iff", "isRegular_mul_iff", "isRegular_of_ne_zero", "isRegular_of_ne_zero'", "isRegular_star_iff", "isRelPrime_comm", "isRelPrime_mul_unit_right_left", "isRelPrime_mul_unit_right_right", "isRelPrime_of_no_nonunits_factors", "isRelPrime_one_left", "isRelPrime_self", "isRelPrime_zero_right", "isRightRegular_iff", "isRightRegular_of_mul_eq_one", "isRightRegular_of_non_zero_divisor", "isRightRegular_star_iff", "isRightRegular_zero_iff_subsingleton", "isRoot_of_unity_iff", "isSMulRegular_iff_mem_nonZeroSMulDivisors", "isSMulRegular_iff_smul_eq_zero_imp_eq_zero", "isSMulRegular_of_group", "isSMulRegular_of_isSMulRegular_on_submodule_on_quotient", "isSMulRegular_of_ker_lsmul_eq_bot", "isSMulRegular_of_range_eq_ker", "isSMulRegular_of_smul_eq_zero_imp_eq_zero", "isSMulRegular_on_quot_iff_lsmul_comap_le", "isSMulRegular_on_quot_iff_smul_mem_implies_mem", "isSMulRegular_on_submodule_iff_mem_imp_smul_eq_zero_imp_eq_zero", "isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts", "isSelfAdjoint_iff_isStarNormal_and_spectrumRestricts", "isSelfAdjoint_smul_of_mem_skewAdjoint", "isSelfAdjoint_starHom_apply", "isSemisimpleModule_biSup_of_isSemisimpleModule_submodule", "isSepClosed_iff_isPurelyInseparable_algebraicClosure", "isSeparable_iff", "isSeparable_range_deriv", "isSeparable_range_derivWithin", "isSeparable_tower_bot_of_isSeparable", "isSeparable_tower_top_of_isSeparable", "isSeparatedMap_iff_closedEmbedding", "isSeparatedMap_iff_disjoint_nhds", "isSeparatedMap_iff_isClosedMap", "isSeparatedMap_iff_isClosed_diagonal", "isSeqClosed_iff", "isSeqClosed_iff_isClosed", "isSeqClosed_of_seqClosure_eq", "isSigmaCompact_biUnion", "isSigmaCompact_iUnion", "isSigmaCompact_iUnion_of_isCompact", "isSigmaCompact_iff_isSigmaCompact_univ", "isSigmaCompact_iff_sigmaCompactSpace", "isSigmaCompact_sUnion", "isSigmaCompact_sUnion_of_isCompact", "isSigmaCompact_univ", "isSigmaCompact_univ_iff", "isSimpleGroup_of_prime_card", "isSimpleModule_iff_finrank_eq_one", "isSimpleModule_iff_isAtom", "isSimpleModule_iff_isCoatom", "isSimpleModule_iff_quot_maximal", "isSimpleModule_iff_toSpanSingleton_surjective", "isSimpleModule_self_iff_isUnit", "isSimpleOrder_iff_isAtom_top", "isSimpleOrder_iff_isCoatom_bot", "isSimpleOrder_iff_isSimpleOrder_orderDual", "isSolvable_of_comm", "isSolvable_of_isScalarTower", "isSolvable_of_top_eq_bot", "isSplittingField_AdjoinRoot_X_pow_sub_C", "isSplittingField_X_pow_sub_C_of_root_adjoin_eq_top", "isSplittingField_iff_intermediateField", "isSquare_iff_exists_sq", "isSquare_inv", "isSquare_mul_self", "isSquare_ofAdd_iff", "isSquare_of_charTwo'", "isSquare_op_iff", "isSquare_unop_iff", "isSquare_zero", "isStrictWeakOrder_of_isOrderConnected", "isStrictWeakOrder_of_isTotalPreorder", "isSubfield_iUnion_of_directed", "isSubgroup_iUnion_of_directed", "isSublattice_empty", "isSublattice_iInter", "isSublattice_preimage_ofDual", "isSublattice_preimage_toDual", "isSublattice_singleton", "isSubmonoid_iUnion_of_directed", "isSubring_iUnion_of_directed", "isTheta_deriv_rpow_const_atTop", "isTop_iff_eq_top", "isTop_iff_isMax", "isTop_ofDual_iff", "isTop_or_exists_gt", "isTop_toDual_iff", "isTop_top", "isTopologicalBasis_isClopen", "isTopologicalBasis_pi", "isTopologicalBasis_singletons", "isTopologicalBasis_subtype", "isTorsionFree_iff_noZeroSMulDivisors_int", "isTorsionFree_iff_noZeroSMulDivisors_nat", "isTorsion_of_finite", "isTotallyDisconnected_iff_lt", "isTotallyDisconnected_of_image", "isTotallyDisconnected_of_isClopen_set", "isTotallyDisconnected_of_isTotallySeparated", "isTotallyDisconnected_of_totallyDisconnectedSpace", "isTotallyDisconnected_singleton", "isTotallySeparated_empty", "isUnit_cfc_iff", "isUnit_gcd_of_eq_mul_gcd", "isUnit_gcd_one_left", "isUnit_gcd_one_right", "isUnit_iff_dvd_one", "isUnit_iff_eq_one", "isUnit_iff_exists", "isUnit_iff_exists_and_exists", "isUnit_iff_exists_inv", "isUnit_iff_exists_inv'", "isUnit_iff_forall_dvd", "isUnit_iff_mem_nonZeroDivisors_of_finite", "isUnit_iff_ne_zero", "isUnit_iff_not_dvd_char", "isUnit_iff_not_dvd_char_of_ringChar_ne_zero", "isUnit_map_iff", "isUnit_map_of_leftInverse", "isUnit_neg_one", "isUnit_ofPowEqOne", "isUnit_of_associated_mul", "isUnit_of_dvd_one", "isUnit_of_dvd_unit", "isUnit_of_invertible", "isUnit_of_map_unit", "isUnit_of_mul_eq_one", "isUnit_of_mul_eq_one_right", "isUnit_of_mul_isUnit_left", "isUnit_of_mul_isUnit_right", "isUnit_of_subsingleton", "isUnit_one", "isUnit_op", "isUnit_pow_succ_iff", "isUnit_ring_inverse", "isUnit_smul_iff", "isUnit_star", "isUnit_zero_iff", "isUpperSet_Ioi", "isUpperSet_compl", "isUpperSet_iInter", "isUpperSet_iInter\u2082", "isUpperSet_iUnion", "isUpperSet_iUnion\u2082", "isUpperSet_iff_Ici_subset", "isUpperSet_iff_Ioi_subset", "isUpperSet_iff_forall_lt", "isUpperSet_preimage_toDual_iff", "isUpperSet_sInter", "isUpperSet_setOf", "isWeakAntichain_insert", "isZero_Ext_succ_of_projective", "is_ascending_rev_series_of_is_descending", "is_basis_iff_det", "is_bot_adic_iff", "is_const_of_deriv_eq_zero", "is_const_of_fderiv_eq_zero", "is_decending_rev_series_of_is_ascending", "is_ideal_adic_pow", "is_simple_module_of_finrank_eq_one", "is_transcendental_of_subsingleton", "isoOfQuasiIsoAt_hom_inv_id", "isoOfQuasiIsoAt_inv_hom_id", "isometry_dcomp", "isometry_id", "isometry_iff_dist_eq", "isometry_iff_nndist_eq", "isometry_inv", "isometry_smul", "isometry_subsingleton", "isometry_subtype_coe", "is\u03c9Sup_\u03c9Sup", "ite_add_ite", "ite_and", "ite_apply", "ite_eq_iff", "ite_eq_iff'", "ite_eq_left_iff", "ite_eq_mem_stdSimplex", "ite_eq_or_eq", "ite_eq_right_iff", "ite_false", "ite_inter_closure_compl_eq_of_inter_frontier_eq", "ite_inter_closure_eq_of_inter_frontier_eq", "ite_ite_distrib_right", "ite_le_one", "ite_lt_one", "ite_mul", "ite_mul_one", "ite_ne_left_iff", "ite_ne_right_iff", "ite_not", "ite_pow", "ite_prop_iff_or", "ite_self", "ite_sub_ite", "ite_true", "ite_zero_mul", "ite_zero_mul_ite_zero", "ite_zero_smul", "iter_deriv_inv", "iter_deriv_inv'", "iter_deriv_pow", "iter_deriv_zpow", "iter_deriv_zpow'", "iterateFrobeniusEquiv_add", "iterateFrobeniusEquiv_eq_pow", "iterateFrobeniusEquiv_symm", "iterateFrobeniusEquiv_symm_add", "iterateFrobeniusEquiv_symm_add_apply", "iterateFrobeniusEquiv_zero_apply", "iterateFrobenius_add", "iterateFrobenius_add_apply", "iterateFrobenius_def", "iterateFrobenius_inj", "iterateFrobenius_mul_apply", "iterateFrobenius_one", "iterateFrobenius_one_apply", "iterateFrobenius_zero", "iterateFrobenius_zero_apply", "iterate_frobenius", "iterate_map_div", "iterate_map_inv", "iterate_map_mul", "iterate_map_pow", "iterate_map_zpow", "iterate_pred_toZ", "iterate_succ_toZ", "iteratedDerivWithin_add", "iteratedDerivWithin_congr", "iteratedDerivWithin_const_add", "iteratedDerivWithin_const_neg", "iteratedDerivWithin_const_smul", "iteratedDerivWithin_eq_equiv_comp", "iteratedDerivWithin_eq_iterate", "iteratedDerivWithin_eq_iteratedFDerivWithin", "iteratedDerivWithin_neg", "iteratedDerivWithin_neg'", "iteratedDerivWithin_one", "iteratedDerivWithin_sub", "iteratedDerivWithin_succ", "iteratedDerivWithin_univ", "iteratedDerivWithin_zero", "iteratedDeriv_cexp_const_mul", "iteratedDeriv_comp_neg", "iteratedDeriv_const_mul", "iteratedDeriv_const_smul", "iteratedDeriv_eq_equiv_comp", "iteratedDeriv_eq_iterate", "iteratedDeriv_exp_const_mul", "iteratedDeriv_neg", "iteratedDeriv_one", "iteratedDeriv_succ", "iteratedDeriv_succ'", "iteratedDeriv_zero", "iteratedFDerivWithin_add_apply'", "iteratedFDerivWithin_apply_eq_iteratedDerivWithin_mul_prod", "iteratedFDerivWithin_clm_apply_const_apply", "iteratedFDerivWithin_congr", "iteratedFDerivWithin_congr_set", "iteratedFDerivWithin_const_smul_apply", "iteratedFDerivWithin_eq_equiv_comp", "iteratedFDerivWithin_eventually_congr_set", "iteratedFDerivWithin_eventually_congr_set'", "iteratedFDerivWithin_neg_apply", "iteratedFDerivWithin_of_isOpen", "iteratedFDerivWithin_one_apply", "iteratedFDerivWithin_succ_apply_left", "iteratedFDerivWithin_succ_apply_right", "iteratedFDerivWithin_succ_const", "iteratedFDerivWithin_sum_apply", "iteratedFDerivWithin_two_apply", "iteratedFDerivWithin_univ", "iteratedFDerivWithin_zero_apply", "iteratedFDerivWithin_zero_eq", "iteratedFDerivWithin_zero_eq_comp", "iteratedFDerivWithin_zero_fun", "iteratedFDeriv_add_apply", "iteratedFDeriv_add_apply'", "iteratedFDeriv_apply_eq_iteratedDeriv_mul_prod", "iteratedFDeriv_clm_apply_const_apply", "iteratedFDeriv_const_of_ne", "iteratedFDeriv_const_smul_apply", "iteratedFDeriv_eq_equiv_comp", "iteratedFDeriv_neg_apply", "iteratedFDeriv_one_apply", "iteratedFDeriv_succ_apply_left", "iteratedFDeriv_succ_apply_right", "iteratedFDeriv_succ_const", "iteratedFDeriv_succ_eq_comp_left", "iteratedFDeriv_succ_eq_comp_right", "iteratedFDeriv_sum", "iteratedFDeriv_tsum", "iteratedFDeriv_two_apply", "iteratedFDeriv_zero_apply", "iteratedFDeriv_zero_eq_comp", "iteratedFDeriv_zero_fun", "jacobiSym.at_neg_two", "jacobiSym.at_two", "jacobiSym.div_four_left", "jacobiSym.eq_neg_one_at_prime_divisor_of_eq_neg_one", "jacobiSym.eq_one_or_neg_one", "jacobiSym.eq_zero_iff", "jacobiSym.eq_zero_iff_not_coprime", "jacobiSym.even_odd", "jacobiSym.legendreSym.to_jacobiSym", "jacobiSym.list_prod_left", "jacobiSym.list_prod_right", "jacobiSym.mod_left", "jacobiSym.mod_right", "jacobiSym.mod_right'", "jacobiSym.mul_left", "jacobiSym.mul_right", "jacobiSym.mul_right'", "jacobiSym.ne_zero", "jacobiSym.neg", "jacobiSym.one_left", "jacobiSym.one_right", "jacobiSym.pow_left", "jacobiSym.pow_right", "jacobiSym.quadratic_reciprocity", "jacobiSym.quadratic_reciprocity'", "jacobiSym.quadratic_reciprocity_if", "jacobiSym.quadratic_reciprocity_one_mod_four", "jacobiSym.quadratic_reciprocity_one_mod_four'", "jacobiSym.quadratic_reciprocity_three_mod_four", "jacobiSym.sq_one", "jacobiSym.sq_one'", "jacobiSym.trichotomy", "jacobiSym.value_at", "jacobiSym.zero_left", "jacobiSym.zero_right", "jacobiTheta_S_smul", "jacobiTheta_T_sq_smul", "jacobiTheta_eq_jacobiTheta\u2082", "jacobiTheta_eq_tsum_nat", "jacobiTheta_two_add", "jacobiTheta\u2082'_add_left", "jacobiTheta\u2082'_add_left'", "jacobiTheta\u2082'_add_right", "jacobiTheta\u2082'_conj", "jacobiTheta\u2082'_functional_equation", "jacobiTheta\u2082'_neg_left", "jacobiTheta\u2082'_undef", "jacobiTheta\u2082_add_left", "jacobiTheta\u2082_add_left'", "jacobiTheta\u2082_add_right", "jacobiTheta\u2082_conj", "jacobiTheta\u2082_fderiv_undef", "jacobiTheta\u2082_functional_equation", "jacobiTheta\u2082_neg_left", "jacobiTheta\u2082_undef", "jacobi_cross", "joinM_map_map", "joinM_pure", "joinedIn_iff_joined", "joinedIn_univ", "ker_nhds", "ker_nhds_eq_specializes", "ker_orthogonalProjection", "krullDim_eq_bot_of_isEmpty", "krullDim_eq_length_of_finiteDimensionalOrder", "krullDim_eq_of_orderIso", "krullDim_eq_top_of_infiniteDimensionalOrder", "krullDim_eq_zero_of_unique", "krullDim_le_of_strictComono_and_surj", "krullDim_le_of_strictMono", "krullDim_nonneg_of_nonempty", "krullDim_orderDual", "krullTopology_t2", "krullTopology_totallyDisconnected", "kstar_eq_one", "kstar_eq_self", "kstar_idem", "kstar_le_of_mul_le_right", "kstar_mono", "kstar_mul_le", "kstar_mul_le_kstar", "kstar_mul_le_self", "kuratowskiEmbedding.isometry", "lTensor.inverse_apply", "lTensor.inverse_comp_lTensor", "lTensor.inverse_of_rightInverse_apply", "lTensor.inverse_of_rightInverse_comp_lTensor", "lTensorHomEquivHomLTensor_toLinearMap", "lTensor_exact", "lTensor_mkQ", "latticeClosure_idem", "latticeClosure_min", "latticeClosure_mono", "latticeClosure_singleton", "latticeClosure_univ", "lcm_assoc", "lcm_assoc'", "lcm_comm", "lcm_comm'", "lcm_dvd_iff", "lcm_dvd_lcm", "lcm_dvd_lcm_mul_left", "lcm_dvd_lcm_mul_right", "lcm_eq_nat_lcm", "lcm_eq_normalize", "lcm_eq_of_associated_left", "lcm_eq_of_associated_right", "lcm_eq_right_iff", "lcm_eq_zero_iff", "lcm_mul_left", "lcm_mul_right", "lcm_one_left", "lcm_same", "lcm_units_coe_right", "leOnePart_anti", "leOnePart_div_oneLePart", "leOnePart_eq_inv", "leOnePart_eq_inv_inf_one", "leOnePart_eq_ite", "leOnePart_eq_one", "leOnePart_eq_one'", "leOnePart_inv", "leOnePart_le_one", "leOnePart_le_one'", "leOnePart_mul_oneLePart", "leOnePart_one", "le_Prop_eq", "le_abs'", "le_add_tsub", "le_add_tsub'", "le_algebraMap_of_spectrum_le", "le_antisymm", "le_antisymm_iff", "le_biSup", "le_bihimp", "le_bihimp_iff", "le_bot_iff", "le_ciInf", "le_ciInf_iff", "le_ciInf_iff'", "le_ciInf_mul", "le_ciInf_mul_ciInf", "le_ciInf_set_iff", "le_ciSup", "le_ciSup_iff'", "le_ciSup_of_le", "le_ciSup_set", "le_collapse_of_insert_mem", "le_collapse_of_mem", "le_comap_range_lTensor", "le_comap_range_rTensor", "le_compl_comm", "le_compl_iff_disjoint_left", "le_compl_iff_disjoint_right", "le_compl_self", "le_csInf", "le_csInf_iff", "le_csInf_inter", "le_csSup", "le_csSup_iff", "le_csSup_iff'", "le_dimH_of_hausdorffMeasure_eq_top", "le_dimH_of_hausdorffMeasure_ne_zero", "le_div_comm", "le_div_iff", "le_div_iff'", "le_div_iff_mul_le", "le_div_iff_mul_le'", "le_div_iff_of_neg", "le_div_iff_of_neg'", "le_div_iff\u2080", "le_div_self_iff", "le_egauge_ball_one", "le_egauge_smul_left", "le_egauge_smul_right", "le_floorDiv_iff_mul_le", "le_gauge_of_not_mem", "le_gauge_of_subset_closedBall", "le_generateFrom_piiUnionInter", "le_geom", "le_gronwallBound_of_liminf_deriv_right_le", "le_hasProd", "le_himp_comm", "le_himp_himp", "le_himp_iff", "le_himp_iff'", "le_himp_iff_left", "le_hnot_inf_hnot", "le_iInf", "le_iInf_const", "le_iInf_iff", "le_iInf\u2082", "le_iInf\u2082_iff", "le_iSup", "le_iSup'", "le_iSup_iff", "le_iSup_of_le", "le_iSup\u2082_of_le", "le_iff_atom_le_imp", "le_iff_compact_le_imp", "le_iff_disjoint_sdiff", "le_iff_eq_or_lt", "le_iff_eq_sup_sdiff", "le_iff_exists_mul", "le_iff_exists_mul'", "le_iff_exists_nonneg_add", "le_iff_exists_sup", "le_iff_forall_lt_one_mul_le", "le_iff_forall_one_lt_le_mul", "le_iff_forall_one_lt_lt_mul", "le_iff_forall_rat_lt_imp_le", "le_iff_le_of_cmp_eq_cmp", "le_iff_lt_or_eq", "le_iff_nhds", "le_iff_oneLePart_leOnePart", "le_iff_reflTransGen_covBy", "le_iff_transGen_wcovBy", "le_iff_uniformContinuous_id", "le_imp_le_iff_lt_imp_lt", "le_implies_le_of_le_of_le", "le_induced_generateFrom", "le_inf", "le_inf_iff", "le_inf_sup", "le_integralClosure_iff_isIntegral", "le_inv", "le_inv'", "le_inv_iff_mul_le_one_left", "le_inv_iff_mul_le_one_right", "le_inv_mul_iff_le", "le_inv_mul_iff_mul_le", "le_inv_of_neg", "le_inv_self_iff", "le_inv_smul_iff_of_pos", "le_isGLB_iff", "le_kstar", "le_levenshtein_append", "le_levenshtein_cons", "le_mabs_self", "le_map_add_map_div", "le_map_add_map_div'", "le_map_div_mul_map_div", "le_map_inv_iff", "le_map_mul_map_div", "le_max_iff", "le_max_left", "le_max_of_le_left", "le_max_of_le_right", "le_max_of_sq_le_mul", "le_max_right", "le_min", "le_mulRothNumber_product", "le_mul_iff_one_le_left'", "le_mul_iff_one_le_right", "le_mul_iff_one_le_right'", "le_mul_inv_iff_le", "le_mul_inv_iff_mul_le", "le_mul_inv_iff\u2080", "le_mul_inv_of_mul_le", "le_mul_left", "le_mul_of_le_left", "le_mul_of_le_mul_of_nonneg_left", "le_mul_of_le_mul_right", "le_mul_of_le_of_one_le_of_nonneg", "le_mul_of_le_one_left", "le_mul_of_le_right", "le_mul_of_one_le_left", "le_mul_of_one_le_of_le", "le_mul_of_one_le_of_le_of_nonneg", "le_mul_of_one_le_right", "le_mul_of_one_le_right'", "le_mul_self", "le_mul_tsub", "le_multiplicity_iff_replicate_subperm_factors", "le_nhdsAdjoint_iff'", "le_nhds_iff", "le_nhds_mul", "le_nhds_of_cauchy_adhp", "le_nhds_of_cauchy_adhp_aux", "le_nonZeroDivisors_of_noZeroDivisors", "le_not_le_of_lt", "le_of_eq", "le_of_eq_of_le'", "le_of_eq_or_lt", "le_of_fin_injective", "le_of_forall_ge_of_dense", "le_of_forall_le", "le_of_forall_le'", "le_of_forall_le_of_dense", "le_of_forall_lt", "le_of_forall_lt_one_mul_le", "le_of_forall_one_lt_div_le", "le_of_forall_one_lt_le_mul", "le_of_forall_one_lt_lt_mul'", "le_of_forall_rat_lt_imp_le", "le_of_forall_sub_le", "le_of_inf_le_sup_le", "le_of_le_mul_of_le_one_right", "le_of_le_mul_right", "le_of_le_of_eq", "le_of_lt", "le_of_lt_wellOrderSucc", "le_of_max_le_left", "le_of_mul_le_mul_left", "le_of_mul_le_mul_left'", "le_of_mul_le_mul_right", "le_of_mul_le_mul_right'", "le_of_mul_le_of_one_le", "le_of_mul_le_of_one_le_left", "le_of_mul_le_of_one_le_right", "le_of_mul_le_right", "le_of_neg_of_one_div_le_one_div", "le_of_nhds_le_nhds", "le_of_not_ge", "le_of_not_gt", "le_of_not_le", "le_of_not_lt", "le_of_pow_le_pow_left'", "le_of_smul_le_smul_left", "le_of_smul_le_smul_of_neg", "le_of_smul_le_smul_right", "le_of_span_le_span", "le_of_strongLT", "le_of_tendsto", "le_of_tendsto'", "le_of_tendsto_of_frequently", "le_of_tendsto_of_tendsto", "le_of_tendsto_of_tendsto'", "le_of_toZ_le", "le_on_closure", "le_oneLePart", "le_one_div_of_neg", "le_one_of_mul_le_left", "le_one_of_mul_le_right", "le_or_lt", "le_or_lt_of_mul_le_mul", "le_padicValNat_iff_replicate_subperm_factors", "le_partialSups_of_le", "le_perfectClosure", "le_perfectClosure_iff", "le_radius_cauchyPowerSeries", "le_rank_iff_exists_linearIndependent", "le_rank_iff_exists_linearIndependent_finset", "le_refl", "le_rfl", "le_rpow_one_add_norm_iff_norm_le", "le_sInf", "le_sInf_iff", "le_sInf_inter", "le_sSup", "le_sSup_iff", "le_sSup_of_le", "le_schnirelmannDensity_iff", "le_sdiff", "le_sdiff_iff", "le_sdiff_sup", "le_self_mul", "le_self_pow", "le_separableClosure", "le_separableClosure'", "le_separableClosure_iff", "le_smul_ceilDiv", "le_smul_iff_one_le_left", "le_smul_of_one_le_left", "le_suffixLevenshtein_append_minimum", "le_suffixLevenshtein_cons_minimum", "le_sup_iff", "le_sup_inf", "le_sup_left", "le_sup_of_le_left", "le_sup_of_le_right", "le_sup_of_mem_convexHull", "le_sup_right", "le_sup_sdiff", "le_symmDiff_iff_left", "le_symmDiff_iff_right", "le_symmDiff_sup_left", "le_symmDiff_sup_right", "le_top", "le_total", "le_trans", "le_tsub_add", "le_tsub_add_add", "le_tsub_iff_le_tsub", "le_tsub_iff_left", "le_tsub_iff_right", "le_tsub_mul", "le_tsub_of_add_le_left", "le_update_iff", "le_update_self_iff", "le_upperClosure", "le_zero_iff", "le_zero_of_zero_ge", "leadingCoeff_smul_normalizeScaleRoots", "least_ascending_central_series_length_eq_nilpotencyClass", "least_descending_central_series_length_eq_nilpotencyClass", "lebesgue_number_lemma", "lebesgue_number_lemma_of_metric", "lebesgue_number_lemma_of_metric_sUnion", "lebesgue_number_lemma_sUnion", "lebesgue_number_of_compact_open", "leftCoset_assoc", "leftCoset_eq_iff", "leftCoset_mem_leftCoset", "leftCoset_rightCoset", "leftInverse_div_mul_left", "leftInverse_expMapCircle_arg", "leftInverse_inv", "leftInverse_mul_left_div", "leftInverse_mul_right_inv_mul", "leftLim_eq_of_eq_bot", "leftLim_eq_of_tendsto", "left_comm", "left_distrib", "left_div_gcd_ne_zero", "left_eq_inf", "left_eq_midpoint_iff", "left_eq_mul\u2080", "left_eq_sup", "left_inv_eq_right_inv", "left_le_lineMap_iff_le", "left_le_midpoint", "left_le_toIcoMod", "left_lt_lineMap_iff_lt", "left_lt_toIocMod", "left_mem_affineSegment", "left_mem_affineSpan_pair", "left_mem_openSegment_iff", "left_mem_segment", "left_ne_zero_of_mul", "left_ne_zero_of_mul_eq_one", "left_nhdsWithin_Ioo_neBot", "left_or_right_lt_sup", "left_subset_compRel", "legendreSym.at_neg_one", "legendreSym.at_neg_two", "legendreSym.at_one", "legendreSym.at_two", "legendreSym.at_zero", "legendreSym.card_sqrts", "legendreSym.eq_neg_one_iff", "legendreSym.eq_neg_one_iff_not_one", "legendreSym.eq_one_iff", "legendreSym.eq_one_iff'", "legendreSym.eq_one_of_sq_sub_mul_sq_eq_zero", "legendreSym.eq_one_of_sq_sub_mul_sq_eq_zero'", "legendreSym.eq_one_or_neg_one", "legendreSym.eq_pow", "legendreSym.eq_zero_iff", "legendreSym.eq_zero_mod_of_eq_neg_one", "legendreSym.mod", "legendreSym.mul", "legendreSym.prime_dvd_of_eq_neg_one", "legendreSym.quadratic_reciprocity", "legendreSym.quadratic_reciprocity'", "legendreSym.quadratic_reciprocity_one_mod_four", "legendreSym.quadratic_reciprocity_three_mod_four", "legendreSym.sq_one", "legendreSym.sq_one'", "leibniz_cross", "leibniz_lie", "length_permsOfList", "let_body_eq", "let_eq", "let_value_eq", "levenshtein_cons_nil", "levenshtein_nil_cons", "levenshtein_nil_nil", "lexOrd_def", "lie_abelian_iff_equiv_lie_abelian", "lie_add", "lie_eq_self_of_isAtom_of_ne_bot", "lie_eq_self_of_isAtom_of_nonabelian", "lie_jacobi", "lie_lie", "lie_mem_left", "lie_mem_right", "lie_neg", "lie_self", "lie_skew", "lie_smul", "lie_sub", "lie_zero", "lie_zsmul", "lift'_nhds_closure", "lift'_nhds_interior", "liftFun_antisymmRel", "liftFun_vecCons", "liftOfDerivationToSquareZero_mk_apply", "liftOfDerivationToSquareZero_mk_apply'", "lift_cardinal_mk_eq_lift_cardinal_mk_field_pow_lift_rank", "lift_nhds_left", "lift_nhds_right", "lift_rank_add_lift_rank_le_rank_prod", "lift_rank_eq_of_equiv_equiv", "lift_rank_eq_of_surjective", "lift_rank_le_of_injective_injective", "lift_rank_le_of_surjective_injective", "lift_rank_lt_rank_dual", "lift_rank_lt_rank_dual'", "lift_rank_map_le", "lift_rank_mul_lift_rank", "lift_rank_range_add_rank_ker", "lift_rank_range_le", "limUnder_nhdsWithin_id", "limUnder_nhds_id", "lim_eq_iff", "lim_nhdsWithin", "liminf_const_add", "liminf_const_sub", "liminf_eq_top", "limit_zero_of_norm_tendsto_zero", "limsInf_nhds", "limsSup_nhds", "limsup_add_const", "limsup_const_sub", "limsup_eq_bot", "limsup_eq_tendsto_sum_indicator_atTop", "limsup_eq_tendsto_sum_indicator_nat_atTop", "limsup_sub_const", "linOrd_dual_comp_forget_to_Lat", "lineDerivWithin_congr'", "lineDerivWithin_congr_set", "lineDerivWithin_of_isOpen", "lineDerivWithin_of_mem_nhds", "lineDerivWithin_univ", "lineDeriv_neg", "lineDeriv_smul", "lineDeriv_zero", "lineDeriv_zero_of_not_lineDifferentiableAt", "lineDifferentiableAt_smul_iff", "lineDifferentiableWithinAt_congr_set", "lineDifferentiableWithinAt_smul_iff", "lineDifferentiableWithinAt_univ", "lineDifferentiableWithinAt_zero", "lineMap_inv_two", "lineMap_le_lineMap_iff_of_lt", "lineMap_le_map_iff_slope_le_slope_left", "lineMap_le_right_iff_le", "lineMap_lt_lineMap_iff_of_lt", "lineMap_lt_map_iff_slope_lt_slope", "lineMap_lt_map_iff_slope_lt_slope_left", "lineMap_lt_map_iff_slope_lt_slope_right", "lineMap_mono_endpoints", "lineMap_mono_left", "lineMap_mono_right", "lineMap_one_half", "lineMap_slope_lineMap_slope_lineMap", "lineMap_slope_slope_sub_div_sub", "lineMap_strict_mono_endpoints", "lineMap_strict_mono_left", "lineMap_strict_mono_right", "linearDependent_comp_subtype'", "linearEquiv_det_rotation", "linearIndependent_algHom_toLinearMap", "linearIndependent_algHom_toLinearMap'", "linearIndependent_biUnion_of_directed", "linearIndependent_bounded_of_finset_linearIndependent_bounded", "linearIndependent_comp_subtype", "linearIndependent_comp_subtype_disjoint", "linearIndependent_empty", "linearIndependent_empty_type", "linearIndependent_equiv", "linearIndependent_equiv'", "linearIndependent_fin2", "linearIndependent_fin_cons", "linearIndependent_fin_snoc", "linearIndependent_fin_succ", "linearIndependent_finset_map_embedding_subtype", "linearIndependent_iUnion_finite", "linearIndependent_iUnion_finite_subtype", "linearIndependent_iUnion_of_directed", "linearIndependent_iff", "linearIndependent_iff'", "linearIndependent_iff''", "linearIndependent_iff_card_eq_finrank_span", "linearIndependent_iff_card_le_finrank_span", "linearIndependent_iff_injective_total", "linearIndependent_iff_not_mem_span", "linearIndependent_iff_not_smul_mem_span", "linearIndependent_iff_totalOn", "linearIndependent_inl_union_inr'", "linearIndependent_insert", "linearIndependent_insert'", "linearIndependent_le_basis", "linearIndependent_le_infinite_basis", "linearIndependent_le_span", "linearIndependent_le_span'", "linearIndependent_le_span_aux'", "linearIndependent_le_span_finset", "linearIndependent_monoidHom", "linearIndependent_of_ne_zero_of_inner_eq_zero", "linearIndependent_of_subsingleton", "linearIndependent_of_top_le_span_of_card_eq_finrank", "linearIndependent_option'", "linearIndependent_pair", "linearIndependent_pow", "linearIndependent_sUnion_of_directed", "linearIndependent_set_iff_affineIndependent_vadd_union_singleton", "linearIndependent_smul", "linearIndependent_span", "linearIndependent_subtype", "linearIndependent_subtype_disjoint", "linearIndependent_sum", "linearIndependent_toLinearMap", "linearIndependent_unique_iff", "linearMap_toMatrix_mul_basis_toMatrix", "linear_isometry_complex", "linear_isometry_complex_aux", "lintegral_Iic_eq_lintegral_Iio_add_Icc", "liouvilleWith_one", "liouville_liouvilleNumber", "lipschitzExtensionConstant_pos", "lipschitzOnWith_iff_dist_le_mul", "lipschitzOnWith_iff_norm_div_le", "lipschitzOnWith_iff_restrict", "lipschitzOnWith_inv_iff", "lipschitzWith_iff_dist_le_mul", "lipschitzWith_iff_norm_div_le", "lipschitzWith_inv_iff", "lipschitzWith_lipschitz_const_mul_edist", "lipschitzWith_max", "lipschitzWith_negPart", "lipschitzWith_of_nnnorm_deriv_le", "lipschitzWith_of_nnnorm_fderiv_le", "lipschitzWith_one_nnnorm'", "lipschitzWith_one_norm'", "lipschitzWith_sup_right", "lipschitz_with_lipschitz_const_mul", "list_casesOn'", "list_cons'", "list_foldl'", "list_prod_mem", "list_reverse'", "list_sum_pow_char_pow", "locPathConnected_of_bases", "locPathConnected_of_isOpen", "loc_compact_Haus_tot_disc_of_zero_dim", "loc_compact_t2_tot_disc_iff_tot_sep", "localCohomology.Ideal.exists_pow_le_of_le_radical_of_fG", "localCohomology.hasColimitDiagram", "local_isCompact_isClosed_nhds_of_group", "localizationAlgebra_injective", "localizationPreserves_surjective", "localization_finite", "localization_finiteType", "localization_isReduced", "locallyConnectedSpace_iff_connectedComponentIn_open", "locallyConnectedSpace_iff_connected_subsets", "locallyConnectedSpace_iff_open_connected_basis", "locallyConnectedSpace_iff_open_connected_subsets", "locallyConnectedSpace_of_connected_bases", "locallyConvexSpace_iInf", "locallyConvexSpace_iff_zero", "locallyConvexSpace_induced", "locallyConvexSpace_inf", "locallyConvexSpace_sInf", "locallyFinite_iff_smallSets", "locallyFinite_option", "locallyFinite_sum", "locallyLipschitz_inv_iff", "locally_compact_of_compact", "logEmbeddingEquiv_apply", "logEmbeddingQuot_apply", "logEmbeddingQuot_injective", "log_add_one_le_harmonic", "log_le_harmonic_floor", "lowerBounds_Icc", "lowerBounds_closure", "lowerBounds_empty", "lowerBounds_insert", "lowerBounds_le_upperBounds", "lowerBounds_smul_of_neg", "lowerBounds_smul_of_pos", "lowerBounds_union", "lowerCentralSeries.map", "lowerCentralSeries_antitone", "lowerCentralSeries_eq_bot_iff_nilpotencyClass_le", "lowerCentralSeries_isDescendingCentralSeries", "lowerCentralSeries_length_eq_nilpotencyClass", "lowerCentralSeries_map_subtype_le", "lowerCentralSeries_nilpotencyClass", "lowerCentralSeries_one", "lowerCentralSeries_pi_le", "lowerCentralSeries_pi_of_finite", "lowerCentralSeries_prod", "lowerCentralSeries_succ", "lowerCentralSeries_succ_eq_bot", "lowerClosure_empty", "lowerClosure_eq_bot_iff", "lowerClosure_iUnion", "lowerClosure_image", "lowerClosure_infs", "lowerClosure_interior_subset'", "lowerClosure_min", "lowerClosure_mul", "lowerClosure_mul_distrib", "lowerClosure_one", "lowerClosure_prod", "lowerClosure_singleton", "lowerClosure_smul", "lowerSemicontinuousAt_biSup", "lowerSemicontinuousAt_ciSup", "lowerSemicontinuousAt_const", "lowerSemicontinuousAt_iSup", "lowerSemicontinuousAt_iff_le_liminf", "lowerSemicontinuousAt_tsum", "lowerSemicontinuousOn_biSup", "lowerSemicontinuousOn_ciSup", "lowerSemicontinuousOn_const", "lowerSemicontinuousOn_iSup", "lowerSemicontinuousOn_iff_le_liminf", "lowerSemicontinuousOn_tsum", "lowerSemicontinuousOn_univ_iff", "lowerSemicontinuousWithinAt_ciSup", "lowerSemicontinuousWithinAt_const", "lowerSemicontinuousWithinAt_iSup", "lowerSemicontinuousWithinAt_iff_le_liminf", "lowerSemicontinuousWithinAt_sum", "lowerSemicontinuousWithinAt_tsum", "lowerSemicontinuousWithinAt_univ_iff", "lowerSemicontinuous_biSup", "lowerSemicontinuous_ciSup", "lowerSemicontinuous_const", "lowerSemicontinuous_iSup", "lowerSemicontinuous_iff_isClosed_epigraph", "lowerSemicontinuous_iff_isClosed_preimage", "lowerSemicontinuous_iff_isOpen_preimage", "lowerSemicontinuous_iff_le_liminf", "lowerSemicontinuous_sum", "lowerSemicontinuous_tsum", "lp.coeFn_smul", "lp.coeFn_star", "lp.coeFn_sub", "lp.coeFn_sum", "lp.coeFn_zero", "lp.coe_lpSubmodule", "lp.eq_zero'", "lp.eq_zero_iff_coeFn_eq_zero", "lp.ext", "lp.hasSum_inner", "lp.hasSum_norm", "lp.hasSum_single", "lp.infty_coeFn_intCast", "lp.infty_coeFn_one", "lp.infty_coeFn_pow", "lp.inner_eq_tsum", "lp.inner_single_left", "lp.inner_single_right", "lp.isLUB_norm", "lp.mem\u2113p", "lp.mem\u2113p_of_tendsto", "lp.norm_apply_le_norm", "lp.norm_apply_le_of_tendsto", "lp.norm_compl_sum_single", "lp.norm_const_smul", "lp.norm_const_smul_le", "lp.norm_eq_card_dsupport", "lp.norm_eq_ciSup", "lp.norm_eq_tsum_rpow", "lp.norm_eq_zero_iff", "lp.norm_le_of_forall_le", "lp.norm_le_of_forall_le'", "lp.norm_le_of_forall_sum_le", "lp.norm_le_of_tendsto", "lp.norm_le_of_tsum_le", "lp.norm_neg", "lp.norm_nonneg'", "lp.norm_rpow_eq_tsum", "lp.norm_single", "lp.norm_sub_norm_compl_sub_single", "lp.norm_sum_single", "lp.norm_zero", "lp.single_apply", "lp.single_apply_ne", "lp.single_apply_self", "lp.single_neg", "lp.single_smul", "lp.sum_rpow_le_norm_rpow", "lp.sum_rpow_le_of_tendsto", "lp.summable_inner", "lp.summable_mul", "lp.tendsto_lp_of_tendsto_pi", "lp.tsum_mul_le_mul_norm", "lp.tsum_mul_le_mul_norm'", "lp.uniformContinuous_coe", "ltByCases_comm", "ltByCases_congr", "ltByCases_eq", "ltByCases_eq_iff", "ltByCases_gt", "ltByCases_lt", "ltByCases_ne", "ltByCases_rec", "ltTrichotomy_comm", "ltTrichotomy_congr", "ltTrichotomy_eq_iff", "ltTrichotomy_not_gt", "ltTrichotomy_self", "lt_ack_left", "lt_ack_right", "lt_add_of_tsub_lt_left", "lt_add_of_tsub_lt_right", "lt_add_one", "lt_compl_self", "lt_csSup_of_lt", "lt_div_iff", "lt_div_iff'", "lt_div_iff_mul_lt", "lt_div_iff_of_neg", "lt_div_iff_of_neg'", "lt_geom", "lt_iSup_iff", "lt_iff_exists_mul", "lt_iff_le_and_ne", "lt_iff_le_not_le", "lt_iff_lt_of_cmp_eq_cmp", "lt_iff_lt_of_le_iff_le'", "lt_iff_not_ge", "lt_iff_not_le", "lt_iff_transGen_covBy", "lt_imp_lt_of_le_imp_le", "lt_inf_iff", "lt_inv", "lt_inv'", "lt_inv_iff_mul_lt_one", "lt_inv_iff_mul_lt_one'", "lt_inv_mul_iff_lt", "lt_inv_mul_iff_mul_lt", "lt_inv_of_neg", "lt_inv_self_iff", "lt_inv_smul_iff_of_pos", "lt_irrefl", "lt_isLUB_iff", "lt_mabs", "lt_map_inv_iff", "lt_max_iff", "lt_max_of_lt_left", "lt_max_of_lt_right", "lt_mem_nhds", "lt_min", "lt_min_iff", "lt_mul_iff_one_lt_left", "lt_mul_iff_one_lt_left'", "lt_mul_iff_one_lt_right", "lt_mul_iff_one_lt_right'", "lt_mul_inv_iff_lt", "lt_mul_inv_iff_mul_lt", "lt_mul_left", "lt_mul_of_le_of_one_lt", "lt_mul_of_lt_mul_of_nonneg_left", "lt_mul_of_lt_mul_of_nonneg_right", "lt_mul_of_lt_mul_right", "lt_mul_of_lt_of_one_le", "lt_mul_of_lt_of_one_le'", "lt_mul_of_lt_of_one_le_of_nonneg", "lt_mul_of_lt_of_one_lt", "lt_mul_of_lt_of_one_lt'", "lt_mul_of_lt_one_left", "lt_mul_of_lt_one_right", "lt_mul_of_one_le_of_lt", "lt_mul_of_one_lt_left", "lt_mul_of_one_lt_of_le", "lt_mul_of_one_lt_of_le_of_pos", "lt_mul_of_one_lt_of_lt", "lt_mul_of_one_lt_of_lt'", "lt_mul_of_one_lt_of_lt_of_nonneg", "lt_mul_of_one_lt_of_lt_of_pos", "lt_mul_of_one_lt_right", "lt_mul_of_one_lt_right'", "lt_mul_self", "lt_norm_sub_of_not_sameRay", "lt_of_eq_of_lt'", "lt_of_le_of_lt", "lt_of_le_of_lt'", "lt_of_le_of_ne", "lt_of_le_of_ne'", "lt_of_lt_mul_of_le_one_of_nonneg_left", "lt_of_lt_mul_of_le_one_of_nonneg_right", "lt_of_lt_of_eq'", "lt_of_lt_of_le", "lt_of_lt_of_le'", "lt_of_mabs_lt", "lt_of_mul_lt_mul_left'", "lt_of_mul_lt_mul_of_le\u2080", "lt_of_mul_lt_of_one_le_left", "lt_of_mul_lt_of_one_le_of_nonneg_left", "lt_of_mul_self_lt_mul_self", "lt_of_neg_of_one_div_lt_one_div", "lt_of_not_ge", "lt_of_not_le", "lt_of_one_div_lt_one_div", "lt_of_smul_lt_smul_left", "lt_of_smul_lt_smul_of_nonpos", "lt_of_smul_lt_smul_right", "lt_of_strongLT", "lt_of_tsub_lt_tsub_left", "lt_of_tsub_lt_tsub_left_of_le", "lt_of_tsub_lt_tsub_right", "lt_of_tsub_lt_tsub_right_of_le", "lt_one_add", "lt_one_div", "lt_one_div_of_neg", "lt_one_of_mul_lt_left", "lt_one_of_mul_lt_right", "lt_or_eq_of_le", "lt_or_ge", "lt_or_gt_of_ne", "lt_or_le", "lt_or_le_of_mul_le_mul", "lt_or_lt_iff_ne", "lt_or_lt_of_div_lt_div", "lt_or_lt_of_mul_lt_mul", "lt_sSup_iff", "lt_self_iff_false", "lt_self_pow", "lt_smul_iff_one_lt_left", "lt_smul_of_one_lt_left", "lt_sup_iff", "lt_sup_of_lt_left", "lt_sup_of_lt_right", "lt_top_iff_ne_top", "lt_trans", "lt_trans'", "lt_trichotomy", "lt_tsub_comm", "lt_tsub_iff_left", "lt_tsub_iff_left_of_le", "lt_tsub_iff_right", "lt_tsub_iff_right_of_le", "lt_tsub_of_add_lt_left", "lt_update_self_iff", "lt_zero_of_zero_gt", "lub_Iio_eq_self_or_Iio_eq_Iic", "lub_Iio_le", "lucas_lehmer_sufficiency", "lucas_primality", "mabs_choice", "mabs_div_eq_leOnePart_sq", "mabs_div_sup_mul_mabs_div_inf", "mabs_eq_mabs", "mabs_eq_max_inv", "mabs_eq_one", "mabs_inf_div_inf_le_mabs", "mabs_inv", "mabs_le_mabs", "mabs_le_mabs_of_le_one", "mabs_le_mabs_of_one_le", "mabs_le_one", "mabs_mabs_div_mabs_le", "mabs_mul_eq_mul_mabs_iff", "mabs_mul_eq_mul_mabs_le", "mabs_mul_eq_oneLePart_sq", "mabs_mul_le", "mabs_of_le_one", "mabs_of_lt_one", "mabs_of_one_le", "mabs_of_one_lt", "mabs_one", "mabs_pow", "mabs_sup_div_sup_le_mabs", "mabs_zpow", "manyOneEquiv_refl", "manyOneReducible_refl", "manyOneReducible_toNat", "mapClusterPt_comp", "mapClusterPt_iff", "mapClusterPt_iff_ultrafilter", "mapClusterPt_of_comp", "map_bihimp", "map_bind", "map_birkhoffAverage", "map_coe_Iio_atTop", "map_coe_Ioi_atBot", "map_coe_Ioo_atBot", "map_coe_atBot_of_Ioo_subset", "map_coe_atTop_of_Ioo_subset", "map_comap_subtype_coe", "map_commutatorElement", "map_comp_div", "map_comp_div'", "map_comp_inv", "map_comp_one", "map_comp_pow", "map_comp_zpow", "map_comp_zpow'", "map_compl", "map_continuousAt", "map_continuousWithinAt", "map_derivedSeries_eq", "map_derivedSeries_le_derivedSeries", "map_dfinsupp_prod", "map_div", "map_div'", "map_div_le_add", "map_div_rev", "map_div\u2080", "map_dualTensorHom", "map_dvd", "map_dvd_iff", "map_eq_bind_pure_comp", "map_eq_bot_iff", "map_eq_one_iff", "map_eq_pure_bind", "map_eq_top_iff", "map_eq_zero", "map_equiv_removeNone", "map_equiv_traceDual", "map_extChartAt_nhds'", "map_extChartAt_nhdsWithin", "map_extChartAt_nhdsWithin'", "map_extChartAt_nhdsWithin_eq_image'", "map_extChartAt_nhds_of_boundaryless", "map_extChartAt_symm_nhdsWithin", "map_extChartAt_symm_nhdsWithin'", "map_extChartAt_symm_nhdsWithin_range", "map_extChartAt_symm_nhdsWithin_range'", "map_finset_inf", "map_finset_sup", "map_finsupp_prod", "map_fst_nhds", "map_fst_nhdsWithin", "map_hnot", "map_iInf", "map_iInf\u2082", "map_iSup", "map_iSup\u2082", "map_intCast", "map_intCast_smul", "map_inv", "map_inv_intCast_smul", "map_inv_le_iff", "map_inv_lt_iff", "map_inv_natCast_smul", "map_inv\u2080", "map_le_lineMap_iff_slope_le_slope", "map_le_lineMap_iff_slope_le_slope_left", "map_le_lineMap_iff_slope_le_slope_right", "map_le_nonZeroDivisors_of_injective", "map_list_prod", "map_lt_lineMap_iff_slope_lt_slope", "map_lt_lineMap_iff_slope_lt_slope_right", "map_mem_closure\u2082", "map_mem_maximals_iff", "map_mem_minimals", "map_mem_minimals_iff", "map_mem_nonZeroDivisors", "map_mem_nonunits_iff", "map_mem_perfectClosure_iff", "map_mem_separableClosure_iff", "map_mk_unit_aux", "map_mul", "map_mul_eq_one", "map_mul_inv", "map_mul_left_nhds", "map_mul_left_nhds_one", "map_mul_left_nhds_one\u2080", "map_mul_left_nhds\u2080", "map_mul_right_nhds", "map_mul_right_nhds_one\u2080", "map_mul_right_nhds\u2080", "map_natCast", "map_natCast'", "map_natCast_smul", "map_ne_one_iff", "map_ne_zero", "map_ne_zero_iff_ne_one", "map_ne_zero_of_mem_nonZeroDivisors", "map_nhds", "map_nhdsWithin", "map_nhds_induced_eq", "map_nhds_induced_of_mem", "map_nhds_induced_of_surjective", "map_nhds_subtype_coe_eq_nhds", "map_nhds_subtype_val", "map_nnratCast", "map_nonneg", "map_nonpos", "map_nonunit", "map_normEDS", "map_ofNat", "map_ofNat'", "map_one", "map_pos_of_ne_one", "map_pow", "map_preNormEDS", "map_preNormEDS'", "map_prime_of_factor_orderIso", "map_prod", "map_ratCast", "map_ratCast_smul", "map_rat_smul", "map_real_smul", "map_restrict_ae_le_map_indicator_ae", "map_rootsOfUnity", "map_rootsOfUnity_eq_pow_self", "map_sdiff'", "map_seq", "map_smul", "map_snd_nhds", "map_snd_nhdsWithin", "map_sub_le_max", "map_symmDiff", "map_symmDiff'", "map_uniformity_set_coe", "map_units_inv", "map_wittPolynomial", "map_wittStructureInt", "map_zpow", "map_zpow'", "map_zpow\u2080", "mapsTo_gaugeRescale_interior", "mapsTo_omegaLimit'", "mapsTo_tangentCone_pi", "matPolyEquiv_coeff_apply", "matPolyEquiv_coeff_apply_aux_1", "matPolyEquiv_coeff_apply_aux_2", "matPolyEquiv_diagonal_X", "matPolyEquiv_eq_X_pow_sub_C", "matPolyEquiv_map_C", "matPolyEquiv_map_smul", "matPolyEquiv_smul_one", "matPolyEquiv_symm_C", "matPolyEquiv_symm_X", "matPolyEquiv_symm_apply_coeff", "matrixEquivTensor_apply", "matrixEquivTensor_apply_std_basis", "matrixEquivTensor_apply_symm", "max_ack_left", "max_aleph0_card_le_rank_fun_nat", "max_assoc", "max_associative", "max_bot_left", "max_cases", "max_choice", "max_comm", "max_commutative", "max_def", "max_def'", "max_def_lt", "max_div_div_left'", "max_div_div_right", "max_div_div_right'", "max_div_div_right_of_nonpos", "max_div_min_eq_mabs", "max_div_min_eq_mabs'", "max_eq_left", "max_eq_left_iff", "max_eq_left_of_lt", "max_eq_right", "max_eq_right_of_lt", "max_inv_one", "max_le", "max_le_iff", "max_le_max", "max_le_max_right", "max_le_mul_of_one_le", "max_left_commutative", "max_lt", "max_lt_max", "max_lt_max_left_iff", "max_max_max_comm", "max_min_distrib_left", "max_mul_min", "max_mul_mul_le_max_mul_max", "max_mul_mul_le_max_mul_max'", "max_mul_mul_left", "max_mul_of_nonneg", "max_one_div_max_inv_one_eq_self", "max_rec", "max_rec'", "max_self", "max_sub_max_le_max", "max_top_left", "max_top_right", "max_zero_add_max_neg_zero_eq_abs_self", "maximalIdeal_isPrincipal_of_isDedekindDomain", "maximal_linearIndependent_eq_infinite_basis", "maximal_orthonormal_iff_basis_of_finiteDimensional", "maximal_orthonormal_iff_orthogonalComplement_eq_bot", "maximals_Iic", "maximals_Ioc", "maximals_antichain", "maximals_empty", "maximals_eq_maximals_of_subset_of_forall", "maximals_eq_minimals", "maximals_idem", "maximals_inter_subset", "maximals_mono", "maximals_of_symm", "maximals_singleton", "maximals_subset", "maximals_swap", "maximals_union", "mdifferentiableAt_atlas", "mdifferentiableAt_atlas_symm", "mdifferentiableAt_const", "mdifferentiableAt_fst", "mdifferentiableAt_iff", "mdifferentiableAt_iff_differentiableAt", "mdifferentiableAt_iff_of_mem_source", "mdifferentiableAt_neg", "mdifferentiableAt_snd", "mdifferentiableOn_atlas_symm", "mdifferentiableOn_const", "mdifferentiableOn_fst", "mdifferentiableOn_id", "mdifferentiableOn_iff_differentiableOn", "mdifferentiableOn_of_locally_mdifferentiableOn", "mdifferentiableOn_snd", "mdifferentiableOn_univ", "mdifferentiableWithinAt_const", "mdifferentiableWithinAt_fst", "mdifferentiableWithinAt_id", "mdifferentiableWithinAt_iff", "mdifferentiableWithinAt_iff'", "mdifferentiableWithinAt_iff_differentiableWithinAt", "mdifferentiableWithinAt_iff_of_mem_source", "mdifferentiableWithinAt_inter", "mdifferentiableWithinAt_inter'", "mdifferentiableWithinAt_snd", "mdifferentiableWithinAt_univ", "mdifferentiable_chart", "mdifferentiable_fst", "mdifferentiable_id", "mdifferentiable_iff_differentiable", "mdifferentiable_jacobiTheta", "mdifferentiable_of_mem_atlas", "meagre_empty", "meas_essSup_lt", "meas_lt_essInf", "measurableEmbedding_const_smul", "measurableEmbedding_const_smul\u2080", "measurableEmbedding_inv", "measurableEmbedding_mulLeft\u2080", "measurableEmbedding_mulRight", "measurableEmbedding_mulRight\u2080", "measurableEmbedding_prod_mk_right", "measurableSet_Icc", "measurableSet_Ici", "measurableSet_Ico", "measurableSet_Iic", "measurableSet_Iio", "measurableSet_Ioc", "measurableSet_Ioi", "measurableSet_Ioo", "measurableSet_ball", "measurableSet_bddAbove_range", "measurableSet_closedBall", "measurableSet_discrete", "measurableSet_eball", "measurableSet_eq", "measurableSet_eq_fun", "measurableSet_eq_fun'", "measurableSet_eq_fun_of_countable", "measurableSet_graph", "measurableSet_inl_image", "measurableSet_inr_image", "measurableSet_insert", "measurableSet_integrable", "measurableSet_interior", "measurableSet_le", "measurableSet_le'", "measurableSet_lineDifferentiableAt", "measurableSet_lineDifferentiableAt_uncurry", "measurableSet_lt", "measurableSet_lt'", "measurableSet_mem", "measurableSet_mulSupport", "measurableSet_not_mem", "measurableSet_of_continuousAt", "measurableSet_of_differentiableAt", "measurableSet_of_differentiableAt_of_isComplete", "measurableSet_of_differentiableAt_of_isComplete_with_param", "measurableSet_of_differentiableAt_with_param", "measurableSet_of_differentiableWithinAt_Ici", "measurableSet_of_differentiableWithinAt_Ici_of_isComplete", "measurableSet_of_differentiableWithinAt_Ioi", "measurableSet_of_mem_nhdsWithin_Ioi", "measurableSet_of_mem_nhdsWithin_Ioi_aux", "measurableSet_of_tendsto_indicator", "measurableSet_pi", "measurableSet_pi_of_nonempty", "measurableSet_preimage", "measurableSet_preimage_up", "measurableSet_prod", "measurableSet_prod_of_nonempty", "measurableSet_quotient", "measurableSet_range_inl", "measurableSet_range_inr", "measurableSet_regionBetween", "measurableSet_region_between_cc", "measurableSet_region_between_co", "measurableSet_region_between_oc", "measurableSet_setOf", "measurableSet_sum_iff", "measurableSet_tendsto", "measurableSet_uIcc", "measurableSet_uIoc", "measurable_biInf", "measurable_biSup", "measurable_coe_nnreal_ennreal", "measurable_coe_nnreal_real", "measurable_coe_nnreal_real_iff", "measurable_const", "measurable_const'", "measurable_const_smul_iff", "measurable_const_smul_iff\u2080", "measurable_deriv", "measurable_derivWithin_Ici", "measurable_deriv_with_param", "measurable_discrete", "measurable_dist", "measurable_div_const'", "measurable_down", "measurable_ennnorm", "measurable_ereal_toReal", "measurable_fderiv", "measurable_fderiv_apply_const", "measurable_fderiv_with_param", "measurable_find", "measurable_findGreatest", "measurable_findGreatest'", "measurable_fract", "measurable_from_nat", "measurable_from_prod_countable", "measurable_from_prod_countable'", "measurable_from_quotient", "measurable_fst", "measurable_generateFrom", "measurable_iInf", "measurable_iSup", "measurable_id", "measurable_id'", "measurable_id''", "measurable_iff_le_map", "measurable_indicator_const_iff", "measurable_infEdist", "measurable_inl", "measurable_inr", "measurable_intCast", "measurable_inv_iff", "measurable_inv_iff\u2080", "measurable_leOnePart", "measurable_liftCover", "measurable_liminf", "measurable_liminf'", "measurable_limit_of_tendsto_metrizable_ae", "measurable_limsup", "measurable_lineDeriv", "measurable_lineDeriv_uncurry", "measurable_mabs", "measurable_measure_prod_mk_left", "measurable_measure_prod_mk_left_finite", "measurable_mul_op", "measurable_nndist", "measurable_nnnorm", "measurable_of_Ici", "measurable_of_Iic", "measurable_of_Iio", "measurable_of_Ioi", "measurable_of_continuousOn_compl_singleton", "measurable_of_empty", "measurable_of_empty_codomain", "measurable_of_finite", "measurable_of_isClosed", "measurable_of_isClosed'", "measurable_of_isOpen", "measurable_of_measurable_on_compl_finite", "measurable_of_measurable_on_compl_singleton", "measurable_of_measurable_union_cover", "measurable_of_re_im", "measurable_of_restrict_of_restrict_compl", "measurable_of_subsingleton_codomain", "measurable_of_tendsto_metrizable'", "measurable_of_tendsto_metrizable_ae", "measurable_one", "measurable_piCongrLeft", "measurable_piEquivPiSubtypeProd", "measurable_piEquivPiSubtypeProd_symm", "measurable_pi_apply", "measurable_pi_iff", "measurable_prod", "measurable_prod_mk_left", "measurable_prod_mk_right", "measurable_quot_mk", "measurable_quotient_mk'", "measurable_quotient_mk''", "measurable_sSup", "measurable_set_mem", "measurable_snd", "measurable_subtype_coe", "measurable_sum", "measurable_swap", "measurable_tProd_elim", "measurable_tProd_mk", "measurable_to_bool", "measurable_to_countable", "measurable_to_countable'", "measurable_to_prop", "measurable_uniqueElim", "measurable_unit", "measurable_update", "measurable_update'", "measurable_updateFinset", "measurable_update_left", "measure_Icc_lt_top", "measure_Ico_lt_top", "measure_Ioo_lt_top", "measure_closure_of_null_frontier", "measure_eq_measure_preimage_add_measure_tsum_Ico_zpow", "measure_le_lintegral_thickenedIndicator", "measure_le_lintegral_thickenedIndicatorAux", "measure_zero_of_dimH_lt", "mellinConvergent_of_isBigO_rpow", "mellinConvergent_of_isBigO_rpow_exp", "mellinInv_eq_fourierIntegralInv", "mellin_comp_inv", "mellin_comp_mul_left", "mellin_comp_mul_right", "mellin_comp_rpow", "mellin_const_smul", "mellin_convergent_iff_norm", "mellin_convergent_of_isBigO_scalar", "mellin_convergent_top_of_isBigO", "mellin_convergent_zero_of_isBigO", "mellin_cpow_smul", "mellin_differentiableAt_of_isBigO_rpow", "mellin_div_const", "mellin_eq_fourierIntegral", "mellin_hasDerivAt_of_isBigO_rpow", "mellin_inversion", "memPartitionSet_eq_iff", "memPartitionSet_mem", "memPartitionSet_succ", "memPartitionSet_zero", "memPartition_succ", "memPartition_zero", "mem_Icc_of_mem_stdSimplex", "mem_achart_source", "mem_adjoin_of_dvd_coeff_of_dvd_aeval", "mem_adjoin_of_smul_prime_pow_smul_of_minpoly_isEisensteinAt", "mem_adjoin_of_smul_prime_smul_of_minpoly_isEisensteinAt", "mem_affineSpan", "mem_affineSpan_iff_eq_affineCombination", "mem_affineSpan_iff_eq_weightedVSubOfPoint_vadd", "mem_analyticGroupoid_of_boundaryless", "mem_approxOrderOf_iff", "mem_aux", "mem_balancedCore_iff", "mem_balancedHull_iff", "mem_ball_iff_norm''", "mem_ball_iff_norm'''", "mem_ball_one_iff", "mem_chart_source", "mem_chart_target", "mem_circle_iff_abs", "mem_closedBall_iff_norm''", "mem_closedBall_iff_norm'''", "mem_closedBall_one_iff", "mem_closure_iff", "mem_closure_iff_clusterPt", "mem_closure_iff_comap_neBot", "mem_closure_iff_frequently", "mem_closure_iff_nhds", "mem_closure_iff_nhds'", "mem_closure_iff_nhdsWithin_neBot", "mem_closure_iff_nhds_basis", "mem_closure_iff_nhds_basis'", "mem_closure_iff_nhds_one", "mem_closure_iff_seq_limit", "mem_closure_iff_ultrafilter", "mem_closure_image", "mem_closure_isSwap", "mem_closure_isSwap'", "mem_closure_ne_iff_frequently_within", "mem_closure_of_frequently_of_tendsto", "mem_closure_of_gauge_le_one", "mem_closure_of_mem_closure_union", "mem_closure_of_tendsto", "mem_closure_one_iff_norm", "mem_closure_pi", "mem_coLindelof", "mem_coLindelof'", "mem_coclosedLindelof", "mem_coeSubmodule_conductor", "mem_commutatorSet_iff", "mem_comp_comp", "mem_comp_of_mem_ball", "mem_conjugatesOf_self", "mem_connectedComponent", "mem_connectedComponentIn", "mem_const_vadd_affineSegment", "mem_const_vsub_affineSegment", "mem_convexHull_iff", "mem_convexJoin", "mem_derangements_iff_fixedPoints_eq_empty", "mem_emetric_ball_one_iff", "mem_exposedPoints_iff_exposed_singleton", "mem_extChartAt_source", "mem_extChartAt_target", "mem_extremePoints_iff_forall_segment", "mem_fixingSubgroup_compl_iff_movedBy_subset", "mem_fixingSubgroup_iff", "mem_fixingSubgroup_iff_subset_fixedBy", "mem_fixingSubmonoid_iff", "mem_frontier_of_gauge_eq_one", "mem_galBasis_iff", "mem_generatePiSystem_iUnion_elim", "mem_generatePiSystem_iUnion_elim'", "mem_groupoid_of_pregroupoid", "mem_ideal_span_range_iff_exists_fun", "mem_image_univ_iff_mem_range", "mem_innerDualCone", "mem_integralClosure_iff_mem_fg", "mem_interior", "mem_interior_iff_mem_nhds", "mem_intrinsicFrontier", "mem_intrinsicInterior", "mem_leftCoset_iff", "mem_leftCoset_leftCoset", "mem_list_primes_of_dvd_prod", "mem_lowerBounds", "mem_lowerBounds_iff_subset_Ici", "mem_lowerBounds_image2", "mem_lowerBounds_image2_of_mem_lowerBounds_of_mem_lowerBounds", "mem_lowerBounds_image2_of_mem_lowerBounds_of_mem_upperBounds", "mem_lowerBounds_image2_of_mem_upperBounds", "mem_lowerClosure", "mem_map_indicator_ae_iff_mem_map_restrict_ae_of_zero_mem", "mem_map_indicator_ae_iff_of_zero_nmem", "mem_maximalAtlas_iff", "mem_maximals_iff", "mem_maximals_iff_forall_lt_not_mem", "mem_maximals_iff_forall_lt_not_mem'", "mem_maximals_iff_forall_ssubset_not_mem", "mem_maximals_setOf_iff", "mem_measurableAtom_self", "mem_memPartitionSet", "mem_minimals_iff", "mem_minimals_iff_forall_lt_not_mem", "mem_minimals_iff_forall_lt_not_mem'", "mem_minimals_iff_forall_ssubset_not_mem", "mem_nhdsSet_empty", "mem_nhdsSet_iff_exists", "mem_nhdsSet_iff_forall", "mem_nhdsWithin", "mem_nhdsWithin_Ici_iff_exists_mem_Ioc_Ico_subset", "mem_nhdsWithin_Iic_iff_exists_Icc_subset", "mem_nhdsWithin_Iic_iff_exists_Ioc_subset", "mem_nhdsWithin_Iic_iff_exists_Ioc_subset'", "mem_nhdsWithin_Iic_iff_exists_mem_Ico_Ioc_subset", "mem_nhdsWithin_Iio_iff_exists_Ico_subset", "mem_nhdsWithin_Iio_iff_exists_Ioo_subset", "mem_nhdsWithin_Iio_iff_exists_mem_Ico_Ioo_subset", "mem_nhdsWithin_Ioi_iff_exists_Ioc_subset", "mem_nhdsWithin_Ioi_iff_exists_Ioo_subset", "mem_nhdsWithin_Ioi_iff_exists_mem_Ioc_Ioo_subset", "mem_nhdsWithin_iff_eventually", "mem_nhdsWithin_iff_eventuallyEq", "mem_nhdsWithin_iff_exists_mem_nhds_inter", "mem_nhdsWithin_insert", "mem_nhdsWithin_of_mem_nhds", "mem_nhdsWithin_prod_iff", "mem_nhdsWithin_subtype", "mem_nhds_discrete", "mem_nhds_iff", "mem_nhds_iff_exists_Ioo_subset", "mem_nhds_iff_exists_Ioo_subset'", "mem_nhds_induced", "mem_nhds_left", "mem_nhds_of_pi_mem_nhds", "mem_nhds_prod_iff", "mem_nhds_prod_iff'", "mem_nhds_right", "mem_nhds_subtype", "mem_nhds_subtype_iff_nhdsWithin", "mem_nhds_uniformity_iff_left", "mem_nhds_uniformity_iff_right", "mem_nilradical", "mem_nonUnitalSubalgebraOfNonUnitalSubring", "mem_nonUnitalSubalgebraOfNonUnitalSubsemiring", "mem_nonZeroDivisorsLeft_iff", "mem_nonZeroDivisorsRight_iff", "mem_nonZeroDivisors_iff", "mem_nonZeroDivisors_iff_ne_zero", "mem_nonZeroDivisors_of_ne_zero", "mem_nonunits_iff", "mem_normalizedFactors_factor_dvd_iso_of_mem_normalizedFactors", "mem_normalizedFactors_factor_orderIso_of_mem_normalizedFactors", "mem_of_mem_measurableAtom", "mem_of_mem_nhds", "mem_of_mem_nhdsWithin", "mem_of_mem_permsOfList", "mem_omegaLimit_iff_frequently", "mem_omegaLimit_singleton_iff_map_cluster_point", "mem_openSegment_iff_div", "mem_openSegment_of_ne_left_right", "mem_openSegment_translate", "mem_own_leftCoset", "mem_own_rightCoset", "mem_pNilradical", "mem_pairSelfAdjointMatricesSubmodule", "mem_pairSelfAdjointMatricesSubmodule'", "mem_parallelepiped_iff", "mem_pathComponent_of_mem", "mem_perfectClosure_iff", "mem_perfectClosure_iff_natSepDegree_eq_one", "mem_perfectClosure_iff_pow_mem", "mem_permsOfList_iff", "mem_permsOfList_of_mem", "mem_perms_of_finset_iff", "mem_posTangentConeAt_of_segment_subset", "mem_posTangentConeAt_of_segment_subset'", "mem_powers_iff_mem_range_orderOf", "mem_powers_iff_mem_zpowers", "mem_powers_of_prime_card", "mem_primitiveRoots", "mem_principal_ideals_iff", "mem_quasispectrum_iff", "mem_range_of_exists_le_of_exists_ge", "mem_reesAlgebra_iff", "mem_reesAlgebra_iff_support", "mem_residual", "mem_residual_iff", "mem_rightCoset", "mem_rightCoset_rightCoset", "mem_rootsOfUnity", "mem_rootsOfUnity'", "mem_rootsOfUnity_iff_mem_nthRoots", "mem_rootsOfUnity_prime_pow_mul_iff", "mem_rootsOfUnity_prime_pow_mul_iff'", "mem_segment_add_sub", "mem_segment_iff_div", "mem_segment_iff_sameRay", "mem_segment_iff_wbtw", "mem_segment_sub_add", "mem_segment_translate", "mem_selfAdjointMatricesSubmodule", "mem_selfAdjointMatricesSubmodule'", "mem_separableClosure_iff", "mem_skewAdjointMatricesLieSubalgebra_unit_smul", "mem_skewAdjointMatricesSubmodule", "mem_skewAdjointMatricesSubmodule'", "mem_smoothFiberwiseLinear_iff", "mem_span_finset", "mem_span_gramSchmidt", "mem_span_insert_exchange", "mem_span_range_iff_exists_fun", "mem_span_set", "mem_span_set'", "mem_sphere_iff_norm'", "mem_sphere_one_iff_norm", "mem_subalgebraEquivIntermediateField", "mem_subalgebraEquivIntermediateField_symm", "mem_subalgebraOfSubsemiring", "mem_tangentConeAt_of_pow_smul", "mem_tangentCone_of_openSegment_subset", "mem_tangentCone_of_segment_subset", "mem_uniform_prod", "mem_uniformity_edist", "mem_uniformity_isClosed", "mem_uniformity_of_eq", "mem_uniformity_of_uniformContinuous_invariant", "mem_upperBounds", "mem_upperBounds_image2", "mem_upperBounds_image2_of_mem_upperBounds_of_mem_upperBounds", "mem_upperCentralSeriesStep", "mem_upperClosure", "mem_vadd_const_affineSegment", "mem_vectorSpan_iff_eq_weightedVSub", "mem_vectorSpan_pair", "mem_vectorSpan_pair_rev", "mem_vsub_const_affineSegment", "mem_zpowers_iff_mem_range_orderOf", "mem_zpowers_of_prime_card", "mem\u2113p_gen", "mem\u2113p_gen'", "mem\u2113p_gen_iff", "mem\u2113p_infty", "mem\u2113p_infty_iff", "mem\u2113p_zero", "mem\u2113p_zero_iff", "mersenne_le_mersenne", "mfderivWithin_comp", "mfderivWithin_congr", "mfderivWithin_const", "mfderivWithin_eq_fderivWithin", "mfderivWithin_eq_mfderiv", "mfderivWithin_fst", "mfderivWithin_id", "mfderivWithin_inter", "mfderivWithin_of_mem_nhds", "mfderivWithin_snd", "mfderivWithin_subset", "mfderivWithin_univ", "mfderivWithin_zero_of_not_mdifferentiableWithinAt", "mfderiv_add", "mfderiv_chartAt_eq_tangentCoordChange", "mfderiv_coe_sphere_injective", "mfderiv_comp_of_eq", "mfderiv_congr", "mfderiv_congr_point", "mfderiv_const", "mfderiv_eq_fderiv", "mfderiv_neg", "mfderiv_prod_eq_add", "mfderiv_prod_left", "mfderiv_sub", "mfderiv_zero_of_not_mdifferentiableAt", "midpoint_add_self", "midpoint_comm", "midpoint_eq_iff", "midpoint_eq_iff'", "midpoint_eq_left_iff", "midpoint_eq_midpoint_iff_vsub_eq_vsub", "midpoint_eq_right_iff", "midpoint_eq_smul_add", "midpoint_le_left", "midpoint_le_midpoint", "midpoint_le_right", "midpoint_mem_segment", "midpoint_pointReflection_right", "midpoint_self", "midpoint_self_neg", "midpoint_sub_add", "midpoint_sub_left", "midpoint_sub_right", "midpoint_unique", "midpoint_vadd_midpoint", "midpoint_vsub", "midpoint_vsub_left", "midpoint_vsub_midpoint", "midpoint_vsub_right", "midpoint_zero_add", "min_abs_abs_le_abs_max", "min_abs_abs_le_abs_min", "min_assoc", "min_cases", "min_choice", "min_comm", "min_commutative", "min_def", "min_def'", "min_def_lt", "min_div_div_left'", "min_div_div_right", "min_div_div_right'", "min_div_div_right_of_nonpos", "min_eq_bot", "min_eq_iff", "min_eq_left", "min_eq_left_iff", "min_eq_right", "min_eq_right_iff", "min_eq_right_of_lt", "min_eq_top", "min_le_iff", "min_le_left", "min_le_max", "min_le_max_of_mul_le_mul", "min_le_min", "min_le_min_left", "min_le_mul_of_one_le_left", "min_le_of_left_le", "min_le_of_mul_le_sq", "min_le_right", "min_left_commutative", "min_lt_iff", "min_lt_max", "min_lt_max_of_mul_lt_mul", "min_lt_min", "min_lt_min_left_iff", "min_lt_min_right_iff", "min_lt_of_left_lt", "min_min_min_comm", "min_mul_distrib", "min_mul_distrib'", "min_mul_max", "min_mul_min_le_min_mul_mul'", "min_mul_mul_left", "min_mul_mul_right", "min_pow_dvd_add", "min_rec'", "min_right_comm", "min_self", "minimalPrimes.finite_of_isNoetherianRing", "minimal_nonempty_closed_eq_singleton", "minimal_nonempty_closed_subsingleton", "minimal_nonempty_open_eq_singleton", "minimal_nonempty_open_subsingleton", "minimals_Icc", "minimals_Ici", "minimals_Ico", "minimals_antichain", "minimals_empty", "minimals_eq_minimals_of_subset_of_forall", "minimals_idem", "minimals_inter_subset", "minimals_of_symm", "minimals_singleton", "minimals_swap", "minimals_union", "minpoly.IsIntegrallyClosed.degree_le_of_ne_zero", "minpoly.ToAdjoin.injective", "minpoly.add_algebraMap", "minpoly.aeval", "minpoly.aeval_algHom", "minpoly.aeval_ne_zero_of_dvdNotUnit_minpoly", "minpoly.algEquiv_apply", "minpoly.algEquiv_eq", "minpoly.algHom_eq", "minpoly.algebraMap_eq", "minpoly.aux_inj_roots_of_min_poly", "minpoly.coeff_zero_eq_zero", "minpoly.coeff_zero_ne_zero", "minpoly.degree_eq_one_iff", "minpoly.degree_le_of_ne_zero", "minpoly.degree_pos", "minpoly.dvd", "minpoly.dvd_iff", "minpoly.dvd_map_of_isScalarTower", "minpoly.dvd_map_of_isScalarTower'", "minpoly.eq_X_sub_C", "minpoly.eq_X_sub_C'", "minpoly.eq_X_sub_C_of_algebraMap_inj", "minpoly.eq_of_irreducible", "minpoly.eq_of_irreducible_of_monic", "minpoly.eq_of_root", "minpoly.eq_zero", "minpoly.exists_algEquiv_of_root", "minpoly.exists_algEquiv_of_root'", "minpoly.irreducible", "minpoly.isIntegrallyClosed_dvd", "minpoly.isIntegrallyClosed_dvd_iff", "minpoly.isIntegrallyClosed_eq_field_fractions", "minpoly.isIntegrallyClosed_eq_field_fractions'", "minpoly.isRadical", "minpoly.ker_aeval_eq_span_minpoly", "minpoly.ker_eval", "minpoly.map_eq_of_separable_of_isPurelyInseparable", "minpoly.map_ne_one", "minpoly.mem_range_of_degree_eq_one", "minpoly.min", "minpoly.monic", "minpoly.natDegree_eq_one_iff", "minpoly.natDegree_pos", "minpoly.natSepDegree_eq_one_iff_eq_X_pow_sub_C", "minpoly.natSepDegree_eq_one_iff_eq_X_sub_C_pow", "minpoly.natSepDegree_eq_one_iff_eq_expand_X_sub_C", "minpoly.natSepDegree_eq_one_iff_pow_mem", "minpoly.ne_one", "minpoly.ne_zero", "minpoly.ne_zero_of_finite", "minpoly.not_isUnit", "minpoly.one", "minpoly.prime", "minpoly.prime_of_isIntegrallyClosed", "minpoly.root", "minpoly.sub_algebraMap", "minpoly.subsingleton", "minpoly.two_le_natDegree_iff", "minpoly.two_le_natDegree_subalgebra", "minpoly.unique", "minpoly.unique'", "minpoly.zero", "minpolyDiv_eq_of_isIntegrallyClosed", "minpolyDiv_eq_zero", "minpolyDiv_eval_eq_zero_of_ne_of_aeval_eq_zero", "minpolyDiv_monic", "minpolyDiv_ne_zero", "minpolyDiv_spec", "minpoly_algEquiv_toLinearMap", "minpoly_algHom_toLinearMap", "mk_complex", "mk_eq_mk_of_basis", "mk_eq_mk_of_basis'", "mk_mem_convexHull_prod", "mk_mem_nonZeroDivisors_associates", "mk_univ_complex", "modelProd_range_prod_id", "modelWithCornersSelf_coe", "modelWithCornersSelf_partialEquiv", "modelWithCorners_prod_coe", "modelWithCorners_prod_coe_symm", "modelWithCorners_prod_toPartialEquiv", "monic_ascPochhammer", "monic_descPochhammer", "monoidHomOfForallMemZpowers_apply_gen", "monomial_has_deriv_aux", "monomial_mem_adjoin_monomial", "monotoneOn_comp_ofDual_iff", "monotoneOn_of_deriv_nonneg", "monotoneOn_of_hasDerivWithinAt_nonneg", "monotoneOn_toDual_comp_iff", "monotoneOn_univ", "monotone_Iio", "monotone_and", "monotone_app", "monotone_closure", "monotone_id", "monotone_iff_map_nonneg", "monotone_iff_map_nonpos", "monotone_inclusion_le_le_of_le", "monotone_inclusion_lt_le_of_le", "monotone_inclusion_lt_lt_of_le", "monotone_lam", "monotone_le", "monotone_lt", "monotone_mul_left_of_nonneg", "monotone_mul_right_of_nonneg", "monotone_nat_of_le_succ", "monotone_nhdsSet", "monotone_of_deriv_nonneg", "monotone_of_odd_of_monotoneOn_nonneg", "monotone_or", "monotone_sInf_of_monotone", "monotone_sSup_of_monotone", "monotone_smul_right_of_nonneg", "monotone_snd", "monotone_stabilizes_iff_artinian", "monotone_stabilizes_iff_noetherian", "monotone_toDual_comp_iff", "monotone_vecCons", "monotone_vecEmpty", "monovaryOn_comm", "monovaryOn_const_right", "monovaryOn_iff_forall_mul_nonneg", "monovaryOn_iff_forall_smul_nonneg", "monovaryOn_iff_mul_rearrangement", "monovaryOn_iff_smul_rearrangement", "monovaryOn_inv", "monovaryOn_inv_left", "monovaryOn_inv_left\u2080", "monovaryOn_inv_right", "monovaryOn_inv_right\u2080", "monovaryOn_toDual_left", "monovaryOn_toDual_right", "monovaryOn_univ", "monovary_comm", "monovary_id_iff", "monovary_iff_forall_mul_nonneg", "monovary_iff_forall_smul_nonneg", "monovary_iff_mul_rearrangement", "monovary_inv", "monovary_inv_left", "monovary_inv_right", "monovary_inv_right\u2080", "monovary_inv\u2080", "monovary_toDual_left", "monovary_toDual_right", "mt", "mulDissociated_empty", "mulDissociated_iff_sum_eq_subsingleton", "mulDissociated_inv", "mulDissociated_singleton", "mulEquivOfOrderOfEq_apply_gen", "mulEquivOfOrderOfEq_symm", "mulEquivOfOrderOfEq_symm_apply_gen", "mulIndicator_biUnion_finset_eventuallyEq", "mulIndicator_cthickening_eventually_eq_mulIndicator_closure", "mulIndicator_eventuallyEq", "mulIndicator_eventuallyLE_mulIndicator", "mulIndicator_thickening_eventually_eq_mulIndicator_closure", "mulIndicator_union_eventuallyEq", "mulLECancellable_one", "mulLeftEmbedding_eq_mulRightEmbedding", "mulLeft_bijective\u2080", "mulPosMono_iff_covariant_pos", "mulPosMono_iff_mulPosStrictMono", "mulPosReflectLE_iff_mulPosReflectLT", "mulPosReflectLT_iff_contravariant_pos", "mulPosStrictMono_iff_mulPosReflectLE", "mulRight_bijective\u2080", "mulRight_bound", "mulRight_continuous", "mulRothNumber_le", "mulRothNumber_lt_of_forall_not_threeGPFree", "mulRothNumber_map_mul_left", "mulRothNumber_map_mul_right", "mulRothNumber_singleton", "mulRothNumber_spec", "mulSupport_comp_inv_smul", "mulSupport_comp_inv_smul\u2080", "mulTSupport_eq_empty_iff", "mul_add_mul", "mul_add_mul_le_mul_add_mul", "mul_add_mul_le_mul_add_mul'", "mul_add_mul_lt_mul_add_mul", "mul_add_mul_lt_mul_add_mul'", "mul_add_one", "mul_assoc", "mul_ball", "mul_ball_one", "mul_basis_toMatrix", "mul_bit0", "mul_bit1", "mul_boole", "mul_bounded_of_bounded_of_bounded", "mul_cancel_left_mem_nonZeroDivisors", "mul_cancel_right_mem_nonZeroDivisors", "mul_ciInf", "mul_comm", "mul_comm_div", "mul_div", "mul_div_assoc", "mul_div_assoc'", "mul_div_cancel", "mul_div_cancel_left", "mul_div_cancel_left_of_imp", "mul_div_cancel_left\u2080", "mul_div_cancel_of_imp'", "mul_div_cancel_of_invertible", "mul_div_cancel_right", "mul_div_cancel_right\u2080", "mul_div_cancel\u2080", "mul_div_div_cancel", "mul_div_left_comm", "mul_div_mul_comm", "mul_div_mul_left", "mul_div_mul_left_eq_div", "mul_div_mul_right", "mul_div_mul_right_eq_div", "mul_div_right_comm", "mul_divp_cancel", "mul_dvd_mul", "mul_dvd_mul_iff_left", "mul_dvd_mul_iff_right", "mul_dvd_mul_left", "mul_dvd_mul_right", "mul_eq_left\u2080", "mul_eq_mul_iff_eq_and_eq", "mul_eq_mul_iff_eq_and_eq_of_pos", "mul_eq_mul_iff_eq_and_eq_of_pos'", "mul_eq_mul_left_iff", "mul_eq_mul_of_div_eq_div", "mul_eq_mul_prime_pow", "mul_eq_mul_prime_prod", "mul_eq_mul_right_iff", "mul_eq_of_eq_div", "mul_eq_of_eq_div'", "mul_eq_of_eq_inv_mul", "mul_eq_of_eq_mul_inv", "mul_eq_one", "mul_eq_one_iff", "mul_eq_one_iff'", "mul_eq_one_iff_eq_inv", "mul_eq_one_iff_inv_eq", "mul_eq_right\u2080", "mul_eq_zero", "mul_eq_zero_comm", "mul_eq_zero_of_left", "mul_eq_zero_of_ne_zero_imp_eq_zero", "mul_eq_zero_of_right", "mul_finprod_cond_ne", "mul_finsum", "mul_gauge_le_norm", "mul_inf", "mul_inv", "mul_invOf_mul_self_cancel", "mul_invOf_mul_self_cancel'", "mul_invOf_self", "mul_invOf_self_assoc", "mul_invOf_self_assoc'", "mul_inv_cancel", "mul_inv_cancel_comm", "mul_inv_cancel_comm_assoc", "mul_inv_cancel_left", "mul_inv_cancel_left\u2080", "mul_inv_cancel_of_invertible", "mul_inv_cancel_right", "mul_inv_cancel_right\u2080", "mul_inv_eq_iff_eq_mul", "mul_inv_eq_iff_eq_mul\u2080", "mul_inv_eq_of_eq_mul", "mul_inv_eq_one", "mul_inv_eq_one\u2080", "mul_inv_le_iff", "mul_inv_le_iff'", "mul_inv_le_iff_le_mul", "mul_inv_le_iff\u2080", "mul_inv_le_inv_mul_iff", "mul_inv_le_mul_inv_iff'", "mul_inv_le_one_iff", "mul_inv_le_one_iff_le", "mul_inv_le_one_of_le", "mul_inv_lt_iff", "mul_inv_lt_iff_le_mul'", "mul_inv_lt_iff_lt_mul", "mul_inv_lt_inv_mul_iff", "mul_inv_lt_mul_inv_iff'", "mul_inv_lt_of_lt_mul\u2080", "mul_inv_lt_one_iff", "mul_inv_mul_self", "mul_inv_rev", "mul_inv_self", "mul_ite", "mul_ite_zero", "mul_kstar_le", "mul_kstar_le_kstar", "mul_kstar_le_self", "mul_le_iff_le_one_left", "mul_le_iff_le_one_right", "mul_le_iff_le_one_right'", "mul_le_mul", "mul_le_mul'", "mul_le_mul_iff_left", "mul_le_mul_iff_of_ge", "mul_le_mul_iff_right", "mul_le_mul_left", "mul_le_mul_left'", "mul_le_mul_left\u2080", "mul_le_mul_of_le_of_le", "mul_le_mul_of_mul_div_le", "mul_le_mul_of_nonneg_left", "mul_le_mul_of_nonneg_of_nonpos", "mul_le_mul_of_nonneg_of_nonpos'", "mul_le_mul_of_nonneg_right", "mul_le_mul_of_nonpos_left", "mul_le_mul_of_nonpos_of_nonneg", "mul_le_mul_of_nonpos_of_nonneg'", "mul_le_mul_of_nonpos_of_nonpos", "mul_le_mul_of_nonpos_right", "mul_le_mul_right", "mul_le_mul_right'", "mul_le_mul_right\u2080", "mul_le_of_le_of_le_one", "mul_le_of_le_of_le_one'", "mul_le_of_le_of_le_one_of_nonneg", "mul_le_of_le_one_left", "mul_le_of_le_one_of_le", "mul_le_of_le_one_of_le'", "mul_le_of_le_one_of_le_of_nonneg", "mul_le_of_le_one_right", "mul_le_of_le_one_right'", "mul_le_of_mul_le_left", "mul_le_of_mul_le_right", "mul_le_of_nonneg_of_le_div", "mul_le_of_one_le_left", "mul_le_of_one_le_right", "mul_le_one", "mul_le_one\u2080", "mul_left_bijective_of_finite\u2080", "mul_left_cancel", "mul_left_cancel''", "mul_left_cancel_iff", "mul_left_cancel_iff_of_pos", "mul_left_cancel\u2080", "mul_left_comm", "mul_left_eq_iff_eq_invOf_mul", "mul_left_eq_self", "mul_left_eq_self\u2080", "mul_left_inj", "mul_left_inj'", "mul_left_inj_of_invertible", "mul_left_injective\u2080", "mul_left_inv", "mul_left_iterate", "mul_left_mem_nonZeroDivisors_eq_zero_iff", "mul_left_ne_self", "mul_left_surjective", "mul_left_surjective\u2080", "mul_lowerClosure", "mul_lt_iff_lt_one_left", "mul_lt_iff_lt_one_right", "mul_lt_iff_lt_one_right'", "mul_lt_mul", "mul_lt_mul'", "mul_lt_mul''", "mul_lt_mul_iff_left", "mul_lt_mul_iff_of_le_of_le", "mul_lt_mul_iff_right", "mul_lt_mul_left", "mul_lt_mul_of_le_of_le'", "mul_lt_mul_of_le_of_lt", "mul_lt_mul_of_le_of_lt'", "mul_lt_mul_of_lt_of_le", "mul_lt_mul_of_lt_of_le\u2080", "mul_lt_mul_of_lt_of_lt", "mul_lt_mul_of_lt_of_lt'", "mul_lt_mul_of_neg_left", "mul_lt_mul_of_neg_right", "mul_lt_mul_of_nonneg_of_pos", "mul_lt_mul_of_pos_left", "mul_lt_mul_of_pos_right", "mul_lt_mul_right", "mul_lt_mul_right_of_neg", "mul_lt_mul\u2080", "mul_lt_of_le_of_lt_one'", "mul_lt_of_le_of_lt_one_of_pos", "mul_lt_of_le_one_of_lt'", "mul_lt_of_le_one_of_lt_of_nonneg", "mul_lt_of_lt_of_le_one'", "mul_lt_of_lt_of_le_one_of_nonneg", "mul_lt_of_lt_of_lt_one", "mul_lt_of_lt_of_lt_one'", "mul_lt_of_lt_of_lt_one_of_pos", "mul_lt_of_lt_one_left", "mul_lt_of_lt_one_left'", "mul_lt_of_lt_one_of_le", "mul_lt_of_lt_one_of_le'", "mul_lt_of_lt_one_of_lt", "mul_lt_of_lt_one_of_lt_of_pos", "mul_lt_of_lt_one_right", "mul_lt_of_lt_one_right'", "mul_lt_of_mul_lt_left", "mul_lt_of_mul_lt_of_nonneg_left", "mul_lt_of_mul_lt_of_nonneg_right", "mul_lt_of_mul_lt_right", "mul_lt_of_one_lt_left", "mul_lt_of_one_lt_right", "mul_lt_one_of_nonneg_of_lt_one_left", "mul_lt_one_of_nonneg_of_lt_one_right", "mul_mabs_eq_oneLePart_sq", "mul_max_of_nonneg", "mul_mem_ball_iff_norm", "mul_mem_ball_mul_iff", "mul_mem_cancel_left", "mul_mem_cancel_right", "mul_mem_closedBall_iff_norm", "mul_mem_closedBall_mul_iff", "mul_mem_connectedComponent_one", "mul_mem_lowerBounds_mul", "mul_mem_nonZeroDivisors", "mul_mem_nonunits_left", "mul_mem_nonunits_right", "mul_min_of_nonneg", "mul_mul_div_cancel", "mul_mul_invOf_self_cancel", "mul_mul_invOf_self_cancel'", "mul_mul_inv_cancel'_right", "mul_mul_mul_comm", "mul_ne_mul_left", "mul_ne_mul_right", "mul_ne_zero", "mul_ne_zero_iff", "mul_neg", "mul_neg_geom_series", "mul_neg_geom_sum", "mul_neg_iff", "mul_neg_of_neg_of_pos", "mul_neg_of_pos_of_neg", "mul_neg_one", "mul_neg_one_pow_eq_zero_iff", "mul_nonneg_iff", "mul_nonneg_iff_left_nonneg_of_pos", "mul_nonneg_iff_neg_imp_nonpos", "mul_nonneg_iff_of_pos_right", "mul_nonneg_iff_pos_imp_nonneg", "mul_nonneg_of_three", "mul_nonpos_iff", "mul_nonpos_iff_neg_imp_nonneg", "mul_nonpos_iff_pos_imp_nonpos", "mul_nonpos_of_nonneg_of_nonpos", "mul_nonpos_of_nonpos_of_nonneg", "mul_not_mem_of_exponent_two", "mul_not_mem_of_orderOf_eq_two", "mul_one", "mul_one_add", "mul_one_add_self", "mul_one_div", "mul_one_eq_id", "mul_one_sub", "mul_pos_iff", "mul_pos_iff_of_pos_left", "mul_pos_iff_of_pos_right", "mul_pos_of_neg_of_neg", "mul_pow", "mul_pow_le_nat_floor_pow", "mul_pow_sub_one", "mul_right_cancel", "mul_right_cancel''", "mul_right_cancel_iff", "mul_right_cancel_iff_of_pos", "mul_right_cancel\u2080", "mul_right_comm", "mul_right_eq_iff_eq_mul_invOf", "mul_right_eq_self", "mul_right_eq_self\u2080", "mul_right_inj", "mul_right_inj'", "mul_right_inj_of_invertible", "mul_right_injective", "mul_right_injective\u2080", "mul_right_inv", "mul_right_iterate", "mul_right_iterate_apply_one", "mul_right_mem_nonZeroDivisors_eq_zero_iff", "mul_right_surjective\u2080", "mul_rotate", "mul_rotate'", "mul_self", "mul_self_add_mul_self_eq_zero", "mul_self_div_self", "mul_self_eq_one_iff", "mul_self_eq_zero", "mul_self_inj", "mul_self_inj_of_nonneg", "mul_self_le_mul_self_iff", "mul_self_le_mul_self_of_le_of_neg_le", "mul_self_le_one_iff", "mul_self_lt_one_iff", "mul_self_mul_inv", "mul_self_nonneg", "mul_self_pos", "mul_self_sub_mul_self", "mul_self_sub_one", "mul_self_zpow", "mul_singleton_mem_nhds", "mul_singleton_mem_nhds_of_nhds_one", "mul_smul_comm", "mul_smul_one", "mul_star_le_algebraMap_norm_sq", "mul_star_self_nonneg", "mul_sub_le_image_sub_of_le_deriv", "mul_sub_left_distrib", "mul_sub_lt_image_sub_of_lt_deriv", "mul_sub_mul_div_mul_neg_iff", "mul_sub_mul_div_mul_nonpos_iff", "mul_sub_one", "mul_sub_right_distrib", "mul_sup", "mul_tsub", "mul_tsub_one", "mul_two", "mul_upperClosure", "mul_uzpow", "mul_zpow", "mul_zpow_neg_one", "multiple_mem_adjoin_of_mem_localization_adjoin", "multiple_mem_span_of_mem_localization_span", "multiplesAddHom_apply", "multiplesAddHom_symm_apply", "multipliable_const_iff", "multipliable_empty", "multipliable_extend_one", "multipliable_iff_cauchySeq_finset", "multipliable_iff_nat_tprod_vanishing", "multipliable_iff_of_multipliable_div", "multipliable_iff_tprod_vanishing", "multipliable_iff_vanishing", "multipliable_int_iff_multipliable_nat_and_neg_add_one", "multipliable_inv_iff", "multipliable_mabs_iff", "multipliable_nat_add_iff", "multipliable_one", "multipliable_prod", "multipliable_subtype_and_compl", "multipliable_subtype_iff_mulIndicator", "multiplicative_of_isTotal", "multiplicative_of_symmetric_of_isTotal", "multiplicity.Finset.prod", "multiplicity.Int.natAbs", "multiplicity.Int.natCast_multiplicity", "multiplicity.Int.pow_add_pow", "multiplicity.Int.pow_sub_pow", "multiplicity.Nat.pow_add_pow", "multiplicity.Nat.pow_sub_pow", "multiplicity.addValuation_apply", "multiplicity.dvd_iff_multiplicity_pos", "multiplicity.dvd_of_multiplicity_pos", "multiplicity.eq_coe_iff", "multiplicity.eq_of_associated_left", "multiplicity.eq_of_associated_right", "multiplicity.eq_top_iff", "multiplicity.eq_top_iff_not_finite", "multiplicity.exists_eq_pow_mul_and_not_dvd", "multiplicity.finite_def", "multiplicity.finite_iff_dom", "multiplicity.finite_int_iff", "multiplicity.finite_int_iff_natAbs_finite", "multiplicity.finite_mul", "multiplicity.finite_mul_aux", "multiplicity.finite_mul_iff", "multiplicity.finite_nat_iff", "multiplicity.finite_of_finite_mul_left", "multiplicity.finite_of_not_isUnit", "multiplicity.finite_pow", "multiplicity.finite_prime_left", "multiplicity.geom_sum\u2082_eq_one", "multiplicity.get_multiplicity_self", "multiplicity.get_one_right", "multiplicity.isUnit_left", "multiplicity.isUnit_right", "multiplicity.is_greatest", "multiplicity.is_greatest'", "multiplicity.le_multiplicity_map", "multiplicity.le_multiplicity_of_pow_dvd", "multiplicity.lt_top_iff_finite", "multiplicity.min_le_multiplicity_add", "multiplicity.mul", "multiplicity.mul'", "multiplicity.multiplicity_add_eq_min", "multiplicity.multiplicity_add_of_gt", "multiplicity.multiplicity_eq_zero", "multiplicity.multiplicity_le_multiplicity_iff", "multiplicity.multiplicity_le_multiplicity_of_dvd_left", "multiplicity.multiplicity_le_multiplicity_of_dvd_right", "multiplicity.multiplicity_lt_iff_not_dvd", "multiplicity.multiplicity_map_eq", "multiplicity.multiplicity_mk_eq_multiplicity", "multiplicity.multiplicity_ne_zero", "multiplicity.multiplicity_pow_self", "multiplicity.multiplicity_pow_self_of_prime", "multiplicity.multiplicity_self", "multiplicity.multiplicity_sub_of_gt", "multiplicity.multiplicity_zero_eq_zero_of_ne_zero", "multiplicity.ne_top_iff_finite", "multiplicity.ne_zero_of_finite", "multiplicity.neg", "multiplicity.not_finite_iff_forall", "multiplicity.one_left", "multiplicity.pos_of_dvd", "multiplicity.pow", "multiplicity.pow'", "multiplicity.pow_dvd_iff_le_multiplicity", "multiplicity.pow_dvd_of_le_multiplicity", "multiplicity.pow_multiplicity_dvd", "multiplicity.pow_prime_pow_sub_pow_prime_pow", "multiplicity.pow_prime_sub_pow_prime", "multiplicity.pow_sub_pow_of_prime", "multiplicity.squarefree_iff_multiplicity_le_one", "multiplicity.unique", "multiplicity.unique'", "multiplicity.unit_left", "multiplicity.unit_right", "multiplicity.zero", "multiplicity_eq_multiplicity_span", "multiplicity_eq_zero_of_coprime", "multiplicity_factor_dvd_iso_eq_multiplicity_of_mem_normalizedFactors", "multiplicity_normalizedFactorsEquivSpanNormalizedFactors_eq_multiplicity", "multiplicity_normalizedFactorsEquivSpanNormalizedFactors_symm_eq_multiplicity", "multiplicity_prime_eq_multiplicity_image_by_factor_orderIso", "multiplicity_prime_le_multiplicity_image_by_factor_orderIso", "natCast_ceil_eq_intCast_ceil", "natCast_floor_eq_intCast_floor", "natCast_mem", "natCast_mem\u2113p_infty", "natDegree_minpolyDiv", "natDegree_minpolyDiv_lt", "natDegree_minpolyDiv_succ", "nat_abs_sum_le", "nat_log_eq_padicValNat_iff", "nat_mul_inj", "nat_sub_dvd_pow_sub_pow", "ncs_tendsto_const", "ncs_tendsto_lim", "neZero_iff", "neZero_zero_iff_false", "ne_bot_of_gt", "ne_comm", "ne_compl_self", "ne_eq", "ne_iff_lt_iff_le", "ne_iff_lt_or_gt", "ne_neg_of_mem_unit_sphere", "ne_of_apply_ne", "ne_of_eq_of_ne", "ne_of_gt", "ne_of_irrefl", "ne_of_lt", "ne_of_mem_of_not_mem", "ne_of_mem_of_not_mem'", "ne_of_ne_of_eq'", "ne_of_not_le", "ne_of_ssubset", "ne_of_ssuperset", "ne_one_of_map", "ne_one_of_mem_sphere", "ne_one_of_mem_unit_sphere", "ne_one_of_nnnorm_ne_zero", "ne_one_of_norm_ne_zero", "ne_or_eq", "ne_top_of_le_ne_top", "ne_top_of_lt", "ne_zero_of_dvd_ne_zero", "ne_zero_of_eq_one", "ne_zero_of_irreducible_X_pow_sub_C", "ne_zero_of_irreducible_X_pow_sub_C'", "ne_zero_of_lt", "ne_zero_of_mem_circle", "ne_zero_of_one_div_ne_zero", "ne_zero_or_ne_zero_of_nat_coprime", "ne_zero_pow", "negSucc_zsmul", "neg_concaveOn_iff", "neg_convexOn_iff", "neg_def", "neg_div", "neg_div'", "neg_div_neg_eq", "neg_div_self", "neg_dvd", "neg_eq", "neg_eq_neg_one_mul", "neg_eq_self", "neg_eq_self_iff", "neg_gcd", "neg_iff_neg_of_mul_pos", "neg_iff_neg_of_smul_pos", "neg_iff_pos_of_mul_neg", "neg_inv", "neg_lie", "neg_mul", "neg_mul_comm", "neg_mul_eq_neg_mul", "neg_mul_neg", "neg_ne_self", "neg_npow_assoc", "neg_of_mul_neg_left", "neg_of_mul_neg_right", "neg_of_mul_pos_left", "neg_of_mul_pos_right", "neg_of_smul_neg_left", "neg_of_smul_neg_left'", "neg_of_smul_neg_right", "neg_of_smul_pos_left", "neg_one_eq_one_iff", "neg_one_geom_sum", "neg_one_lt_zero", "neg_one_mul", "neg_one_pow_eq_one_iff_even", "neg_one_pow_eq_or", "neg_one_pow_eq_pow_mod_two", "neg_one_smul", "neg_one_sq", "neg_pow", "neg_pow'", "neg_pow_bit0", "neg_pow_bit1", "neg_smul", "neg_smul_neg", "neg_sq", "neg_strictConcaveOn_iff", "neg_strictConvexOn_iff", "neg_units_ne_self", "neg_vsub_eq_vsub_rev", "newton_seq_dist", "newton_seq_dist_aux", "newton_seq_dist_to_a", "newton_seq_norm_eq", "newton_seq_norm_le", "newton_seq_succ_dist", "newton_seq_succ_dist_weak", "ne\u2081\u2082_of_not_collinear", "ne\u2081\u2083_of_not_collinear", "ne\u2082\u2083_of_not_collinear", "nhdsAdjoint_nhds_of_ne", "nhdsSet_Icc", "nhdsSet_Ici", "nhdsSet_Ico", "nhdsSet_Iic", "nhdsSet_Iio", "nhdsSet_Ioc", "nhdsSet_Ioi", "nhdsSet_Ioo", "nhdsSet_diagonal", "nhdsSet_diagonal_eq_uniformity", "nhdsSet_diagonal_le_uniformity", "nhdsSet_empty", "nhdsSet_eq_principal_iff", "nhdsSet_exterior", "nhdsSet_iUnion", "nhdsSet_inj_iff", "nhdsSet_insert", "nhdsSet_inter_le", "nhdsSet_interior", "nhdsSet_le", "nhdsSet_le_iff", "nhdsSet_mono", "nhdsSet_prod_le", "nhdsSet_prod_le_of_disjoint_cocompact", "nhdsSet_singleton", "nhdsSet_union", "nhdsSet_univ", "nhdsWithin_Icc_eq_nhdsWithin_Ici", "nhdsWithin_Icc_eq_nhdsWithin_Iic", "nhdsWithin_Ici_basis", "nhdsWithin_Ici_basis_Ico", "nhdsWithin_Ici_eq'", "nhdsWithin_Ici_eq''", "nhdsWithin_Ici_neBot", "nhdsWithin_Iic_basis", "nhdsWithin_Iic_basis'", "nhdsWithin_Iic_basis_Icc", "nhdsWithin_Iic_eq'", "nhdsWithin_Iic_neBot", "nhdsWithin_Iio_eq_bot_iff", "nhdsWithin_Iio_neBot", "nhdsWithin_Iio_self_neBot'", "nhdsWithin_Ioc_eq_nhdsWithin_Iic", "nhdsWithin_Ioc_eq_nhdsWithin_Ioi", "nhdsWithin_Ioi_basis", "nhdsWithin_Ioi_basis'", "nhdsWithin_Ioi_eq_bot_iff", "nhdsWithin_Ioi_neBot", "nhdsWithin_Ioo_eq_nhdsWithin_Iio", "nhdsWithin_Ioo_eq_nhdsWithin_Ioi", "nhdsWithin_basis_open", "nhdsWithin_biUnion", "nhdsWithin_compl_singleton_le", "nhdsWithin_compl_singleton_sup_pure", "nhdsWithin_empty", "nhdsWithin_eq", "nhdsWithin_eq_comap_uniformity", "nhdsWithin_eq_comap_uniformity_of_mem", "nhdsWithin_eq_iff_eventuallyEq", "nhdsWithin_eq_map_subtype_coe", "nhdsWithin_eq_nhds", "nhdsWithin_eq_nhdsWithin'", "nhdsWithin_extChartAt_target_eq", "nhdsWithin_extChartAt_target_eq'", "nhdsWithin_iUnion", "nhdsWithin_insert", "nhdsWithin_insert_of_ne", "nhdsWithin_inter", "nhdsWithin_inter'", "nhdsWithin_inter_of_mem", "nhdsWithin_inter_of_mem'", "nhdsWithin_le_comap", "nhdsWithin_le_iff", "nhdsWithin_le_nhds", "nhdsWithin_le_of_mem", "nhdsWithin_mono", "nhdsWithin_neBot", "nhdsWithin_of_mem_discrete", "nhdsWithin_pi_eq", "nhdsWithin_pi_eq'", "nhdsWithin_pi_eq_bot", "nhdsWithin_pi_neBot", "nhdsWithin_pi_univ_eq", "nhdsWithin_pos_comap_mul_left", "nhdsWithin_prod", "nhdsWithin_prod_eq", "nhdsWithin_restrict", "nhdsWithin_restrict'", "nhdsWithin_restrict''", "nhdsWithin_sUnion", "nhdsWithin_singleton", "nhdsWithin_subtype_eq_bot_iff", "nhdsWithin_union", "nhdsWithin_univ", "nhds_basis_Icc_pos", "nhds_basis_Ioo'", "nhds_basis_Ioo_pos", "nhds_basis_Ioo_pos_of_pos", "nhds_basis_abs_convex", "nhds_basis_abs_convex_open", "nhds_basis_abs_sub_lt", "nhds_basis_balanced", "nhds_basis_clopen", "nhds_basis_closed_balanced", "nhds_basis_closeds", "nhds_basis_opens", "nhds_basis_opens'", "nhds_basis_uniformity", "nhds_basis_uniformity'", "nhds_bind_nhdsWithin", "nhds_bot_basis", "nhds_bot_basis_Iic", "nhds_bot_order", "nhds_comap_dist", "nhds_cons", "nhds_def'", "nhds_eq_comap_uniformity", "nhds_eq_comap_uniformity'", "nhds_eq_iInf_abs_sub", "nhds_eq_nhds_emetric_ball", "nhds_eq_order", "nhds_eq_uniformity", "nhds_eq_uniformity'", "nhds_eq_uniformity_prod", "nhds_false", "nhds_iInf", "nhds_induced", "nhds_inf", "nhds_injective", "nhds_inr", "nhds_inv\u2080", "nhds_le_nhdsSet_iff", "nhds_le_nhds_iff", "nhds_le_of_le", "nhds_le_uniformity", "nhds_left'_le_nhds_ne", "nhds_left'_sup_nhds_right", "nhds_left'_sup_nhds_right'", "nhds_left_sup_nhds_right", "nhds_left_sup_nhds_right'", "nhds_list", "nhds_mono", "nhds_mul", "nhds_ne_subtype_eq_bot_iff", "nhds_ne_subtype_neBot_iff", "nhds_nhdsAdjoint_same", "nhds_nhds_eq_uniformity_uniformity_prod", "nhds_nil", "nhds_ofAdd", "nhds_ofDual", "nhds_ofMul", "nhds_of_nhdsWithin_of_nhds", "nhds_one_mul_nhds", "nhds_order_unbounded", "nhds_pi", "nhds_prod_eq", "nhds_right'_le_nhds_ne", "nhds_sInf", "nhds_subtype_eq_comap", "nhds_swap", "nhds_toAdd", "nhds_toMul", "nhds_top", "nhds_top_basis", "nhds_translation_mul_inv\u2080", "nhds_true", "nhdset_of_mem_uniformity", "nilpotencyClass_eq_quotient_center_plus_one", "nilpotencyClass_eq_succ_iff", "nilpotencyClass_eq_zero_of_subsingleton", "nilpotencyClass_le_of_ker_le_center", "nilpotencyClass_le_of_surjective", "nilpotencyClass_pi", "nilpotencyClass_prod", "nilpotencyClass_quotient_center", "nilpotencyClass_quotient_le", "nilpotencyClass_zero_iff_subsingleton", "nilpotent_center_quotient_ind", "nilpotent_iff_finite_ascending_central_series", "nilpotent_iff_finite_descending_central_series", "nilpotent_iff_lowerCentralSeries", "nilpotent_iff_mem_prime", "nilpotent_of_mulEquiv", "nilpotent_of_surjective", "nilradical_eq_sInf", "nilradical_eq_zero", "nmem_nonZeroDivisorsRight_iff", "nmem_nonZeroDivisors_iff", "nndist_comm", "nndist_dist", "nndist_div_left", "nndist_div_right", "nndist_edist", "nndist_eq_nnnorm_vsub", "nndist_eq_nnnorm_vsub'", "nndist_eq_zero", "nndist_homothety_center", "nndist_homothety_self", "nndist_inv_inv", "nndist_inv_inv\u2080", "nndist_le_pi_nndist", "nndist_left_midpoint", "nndist_lineMap_lineMap", "nndist_lineMap_right", "nndist_midpoint_midpoint_le'", "nndist_midpoint_right", "nndist_mulIndicator", "nndist_mul_left", "nndist_mul_mul_le", "nndist_ofAdd", "nndist_pi_const", "nndist_pi_eq_iff", "nndist_pi_le_iff", "nndist_pi_lt_iff", "nndist_right_lineMap", "nndist_right_midpoint", "nndist_self", "nndist_self_homothety", "nndist_smul", "nndist_smul_le", "nndist_smul\u2080", "nndist_toAdd", "nndist_toDual", "nndist_triangle", "nndist_triangle_left", "nndist_triangle_right", "nndist_vadd_cancel_left", "nndist_vadd_cancel_right", "nndist_vadd_left", "nndist_vadd_right", "nndist_vadd_vadd_le", "nndist_vsub_cancel_left", "nndist_vsub_cancel_right", "nndist_vsub_vsub_le", "nnnorm_algebraMap_nnreal", "nnnorm_div", "nnnorm_eq_zero'", "nnnorm_fderiv_norm_rpow_le", "nnnorm_indicator_eq_indicator_nnnorm", "nnnorm_inv", "nnnorm_inv'", "nnnorm_le_nnnorm_add_nnnorm_div'", "nnnorm_le_pi_nnnorm'", "nnnorm_mul", "nnnorm_mul_le", "nnnorm_mul_le'", "nnnorm_multiset_prod_le", "nnnorm_ne_zero_iff'", "nnnorm_norm", "nnnorm_ofDual", "nnnorm_ofMul", "nnnorm_one", "nnnorm_pow", "nnnorm_pow_le", "nnnorm_pow_le'", "nnnorm_pow_le_mul_norm", "nnnorm_prod_le", "nnnorm_prod_le_of_le", "nnnorm_smul_le", "nnnorm_star", "nnnorm_toDual", "nnnorm_toMul", "nnnorm_tsum_le", "nnnorm_zpow", "nnnorm_zpow_le_mul_norm", "nnqsmul_nonneg", "noBotOrder_iff_noMinOrder", "noTopOrder_iff_noMaxOrder", "noZeroDivisors_iff_isDomain_or_subsingleton", "nodup_permsOfList", "nonLindelof_univ", "nonPrincipals_def", "nonPrincipals_eq_empty_iff", "nonPrincipals_zorn", "nonZeroDivisors.associated_coe", "nonZeroDivisors.coe_ne_zero", "nonZeroDivisors.ne_zero", "nonZeroDivisorsLeft_eq_right", "nonZeroDivisors_le_comap_nonZeroDivisors_of_injective", "nonZeroSMulDivisors_mulOpposite_eq_op_nonZeroDivisors", "noncompactSpace_of_neBot", "nonempty_Prop", "nonempty_denumerable_iff", "nonempty_embedding_nat", "nonempty_embedding_to_cardinal", "nonempty_encodable", "nonempty_fintype", "nonempty_frontier_iff", "nonempty_fun", "nonempty_inter", "nonempty_interior_of_iUnion_of_closed", "nonempty_invertible_iff_isUnit", "nonempty_linearEquiv_of_lift_rank_eq", "nonempty_linearEquiv_of_rank_eq", "nonempty_linearIndependent_set", "nonempty_measurable_superset", "nonempty_of_finprod_mem_ne_one", "nonempty_of_not_bddAbove", "nonempty_of_not_bddBelow", "nonempty_omegaLimit", "nonempty_omegaLimit_of_isCompact_absorbing", "nonempty_oreSet_of_strongRankCondition", "nonempty_plift", "nonempty_preirreducible_inter", "nonempty_prod", "nonempty_psigma", "nonempty_psum", "nonempty_quotient_iff", "nonempty_sections_of_finite_cofiltered_system", "nonempty_sections_of_finite_cofiltered_system.init", "nonempty_sections_of_finite_inverse_system", "nonempty_sigma", "nonempty_subtype", "nonneg_and_nonneg_or_nonpos_and_nonpos_of_mul_nonneg", "nonneg_and_nonneg_or_nonpos_and_nonpos_of_smul_nonneg", "nonneg_iff_isSelfAdjoint_and_quasispectrumRestricts", "nonneg_iff_isSelfAdjoint_and_spectrumRestricts", "nonneg_of_mul_nonneg_right", "nonneg_of_mul_nonpos_left", "nonneg_of_mul_nonpos_right", "nonpos_of_mul_nonneg_left", "nonpos_of_mul_nonpos_left", "nonpos_of_mul_nonpos_right", "nontrivial_iff", "nontrivial_iff_exists_ne", "nontrivial_of_invariantBasisNumber", "nontrivial_of_lt", "nontrivial_of_ne", "nonunits.isClosed", "nonunits.subset_compl_ball", "nonzero_of_invertible", "nonzero_span_atom", "normEDS_even", "normEDS_four", "normEDS_neg", "normEDS_odd", "normEDS_ofNat", "normEDS_one", "normEDS_three", "normEDS_two", "normEDS_zero", "normSq_eq_of_mem_circle", "normUnit_eq_one", "normUnit_mul_normUnit", "normUnit_one", "norm_abs_eq_norm", "norm_abs_sub_abs", "norm_add_eq_sqrt_iff_real_inner_eq_zero", "norm_add_lt_of_not_sameRay", "norm_add_mul_self", "norm_add_sq", "norm_add_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero", "norm_add_sq_eq_norm_sq_add_norm_sq_of_inner_eq_zero", "norm_add_sq_eq_norm_sq_add_norm_sq_real", "norm_algebraMap", "norm_algebraMap'", "norm_algebraMap_nnreal", "norm_cauchyPowerSeries_le", "norm_cexp_neg_mul_sq", "norm_circle_smul", "norm_combo_lt_of_ne", "norm_derivWithin_eq_norm_fderivWithin", "norm_deriv_eq", "norm_deriv_eq_norm_fderiv", "norm_deriv_le_of_lip'", "norm_deriv_le_of_lipschitzOn", "norm_div", "norm_div_le", "norm_div_le_norm_div_add_norm_div", "norm_div_le_of_le", "norm_div_pos_iff", "norm_div_rev", "norm_div_sub_norm_div_le_norm_div", "norm_eq_iInf_iff_inner_eq_zero", "norm_eq_iInf_iff_real_inner_eq_zero", "norm_eq_iInf_iff_real_inner_le_zero", "norm_eq_of_mem_sphere'", "norm_eq_sqrt_inner", "norm_eq_sqrt_real_inner", "norm_eq_zero''", "norm_exp_mul_sq_le", "norm_fderivWithin_iteratedFDerivWithin", "norm_fderiv_iteratedFDeriv", "norm_fderiv_le_of_lip'", "norm_fderiv_le_of_lipschitzOn", "norm_fderiv_norm_id_rpow", "norm_fderiv_norm_rpow_le", "norm_fst_le", "norm_image_of_norm_zero", "norm_image_sub_le_of_norm_deriv_le_segment", "norm_image_sub_le_of_norm_deriv_le_segment'", "norm_image_sub_le_of_norm_deriv_le_segment_01", "norm_image_sub_le_of_norm_deriv_le_segment_01'", "norm_image_sub_le_of_norm_deriv_right_le_segment", "norm_indicator_eq_indicator_norm", "norm_indicator_le_norm_self", "norm_indicator_le_of_subset", "norm_inf_le_add", "norm_inf_sub_inf_le_add_norm", "norm_inf_sub_inf_le_norm", "norm_injOn_ray_left", "norm_injOn_ray_right", "norm_inner_div_norm_mul_norm_eq_one_iff", "norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mul", "norm_inner_eq_norm_tfae", "norm_inner_le_norm", "norm_inner_symm", "norm_inv", "norm_inv'", "norm_iteratedFDerivWithin_clm_apply", "norm_iteratedFDerivWithin_clm_apply_const", "norm_iteratedFDerivWithin_comp_le", "norm_iteratedFDerivWithin_comp_le_aux", "norm_iteratedFDerivWithin_eq_norm_iteratedDerivWithin", "norm_iteratedFDerivWithin_fderivWithin", "norm_iteratedFDerivWithin_mul_le", "norm_iteratedFDerivWithin_prod_le", "norm_iteratedFDerivWithin_smul_le", "norm_iteratedFDerivWithin_zero", "norm_iteratedFDeriv_clm_apply", "norm_iteratedFDeriv_clm_apply_const", "norm_iteratedFDeriv_comp_le", "norm_iteratedFDeriv_eq_norm_iteratedDeriv", "norm_iteratedFDeriv_fderiv", "norm_iteratedFDeriv_mul_le", "norm_iteratedFDeriv_prod_le", "norm_iteratedFDeriv_smul_le", "norm_iteratedFDeriv_zero", "norm_jacobiTheta_sub_one_le", "norm_jacobiTheta\u2082'_term_le", "norm_jacobiTheta\u2082_term", "norm_jacobiTheta\u2082_term_fderiv_ge", "norm_jacobiTheta\u2082_term_fderiv_le", "norm_jacobiTheta\u2082_term_le", "norm_le_gronwallBound_of_norm_deriv_right_le", "norm_le_norm_add_norm_div", "norm_le_norm_add_norm_div'", "norm_le_norm_of_abs_le_abs", "norm_le_of_mem_closedBall'", "norm_le_pi_norm'", "norm_le_zero_iff'''", "norm_lineDeriv_le_of_lip'", "norm_lineDeriv_le_of_lipschitz", "norm_lt_of_mem_ball'", "norm_midpoint_lt_iff", "norm_mk_eq_zero", "norm_mk_lt", "norm_mk_lt'", "norm_mk_nonneg", "norm_mul", "norm_mul_le", "norm_mul_le'", "norm_mul_le_of_le", "norm_multiset_prod_le", "norm_multiset_sum_le", "norm_mul\u2083_le", "norm_ne_zero_iff'", "norm_nonneg'", "norm_norm", "norm_ofAdd", "norm_ofDual", "norm_ofMul", "norm_of_subsingleton'", "norm_pos_iff''", "norm_pos_iff'''", "norm_pow", "norm_pow_le", "norm_pow_le'", "norm_pow_le_mul_norm", "norm_prod_le", "norm_prod_le_iff", "norm_prod_le_of_le", "norm_smul", "norm_smul_inv_norm", "norm_smul_le", "norm_smul_of_nonneg", "norm_snd_le", "norm_sq_eq_add_norm_sq_projection", "norm_sub_eq_norm_add", "norm_sub_eq_sqrt_iff_real_inner_eq_zero", "norm_sub_le_of_geometric_bound_of_hasSum", "norm_sub_mul_self", "norm_sub_norm_le'", "norm_sub_sq", "norm_sub_sq_eq_norm_sq_add_norm_sq_iff_real_inner_eq_zero", "norm_sub_sq_real", "norm_sum_le", "norm_sum_neg_one_pow_le", "norm_sup_le_add", "norm_sup_sub_sup_le_add_norm", "norm_toMul", "norm_toNNReal'", "norm_torusIntegral_le_of_norm_le_const", "norm_withSeminorms", "norm_zsmul", "normalClosure_eq_iSup_adjoin'", "normal_exists_closure_subset", "normalizeScaleRoots_coeff_mul_leadingCoeff_pow", "normalizeScaleRoots_degree", "normalizeScaleRoots_eval\u2082_leadingCoeff_mul", "normalizeScaleRoots_monic", "normalizeScaleRoots_support", "normalize_apply", "normalize_associated", "normalize_associated_iff", "normalize_eq", "normalize_eq_normalize", "normalize_eq_normalize_iff", "normalize_eq_one", "normalize_eq_zero", "normalize_idem", "normalize_one", "normalizedFactorsEquivOfQuotEquiv_multiplicity_eq_multiplicity", "normalizedFactorsEquivOfQuotEquiv_symm", "normalizerCondition_iff_only_full_group_self_normalizing", "normalizerCondition_of_isNilpotent", "notBelow_isOpen", "not_IntegrableOn_Ici_inv", "not_IntegrableOn_Ioi_inv", "not_LindelofSpace_iff", "not_and", "not_and_not_right", "not_and_of_not_left", "not_and_of_not_right", "not_and_or", "not_bddAbove_Ici", "not_bddAbove_Ioi", "not_bddAbove_iff", "not_bddAbove_iff'", "not_bddAbove_univ", "not_bddBelow_Iio", "not_bddBelow_iff", "not_bddBelow_iff'", "not_bddBelow_univ", "not_beq_of_ne", "not_btw_of_sbtw", "not_compactSpace_iff", "not_congr", "not_countable_complex", "not_countable_iff", "not_covBy", "not_covBy_iff", "not_covBy_of_lt_of_lt", "not_differentiableAt_abs_zero", "not_differentiableAt_of_local_left_inverse_hasDerivAt_zero", "not_disjoint_segment_convexHull_triple", "not_dvd_index_sylow", "not_dvd_index_sylow'", "not_exists", "not_false_eq_true", "not_false_iff", "not_fermatLastTheoremFor_one", "not_fermatLastTheoremFor_two", "not_fermat_42", "not_finite", "not_finite_iff_infinite", "not_forall_not", "not_forall\u2082", "not_forall\u2082_of_exists\u2082_not", "not_iff", "not_iff_comm", "not_iff_not", "not_imp_comm", "not_imp_not", "not_imp_self", "not_infIrred", "not_infIrred_top", "not_infPrime_top", "not_infinite_iff_finite", "not_injective_infinite_finite", "not_injective_of_ordinal", "not_injective_of_ordinal_of_small", "not_injective_uncountable_countable", "not_inseparable_iff_exists_open", "not_integrableOn_Ioi_cpow", "not_integrableOn_Ioi_rpow", "not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter", "not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filter_aux", "not_intervalIntegrable_of_sub_inv_isBigO_punctured", "not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_filter", "not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_punctured", "not_intervalIntegrable_of_tendsto_norm_atTop_of_deriv_isBigO_within_diff_singleton", "not_irrational_one", "not_irrational_zero", "not_irreducible_expand", "not_irreducible_of_not_unit_dvdNotUnit", "not_irreducible_one", "not_irreducible_pow", "not_irreducible_zero", "not_isAssociatedPrime_of_subsingleton", "not_isBot", "not_isBot_iff_ne_bot", "not_isCoprime_zero_zero", "not_isCorner_empty", "not_isCyclic_iff_exponent_eq_prime", "not_isEmpty_iff", "not_isEmpty_of_nonempty", "not_isField_of_subsingleton", "not_isLeftRegular_zero_iff", "not_isMax", "not_isMax_bot", "not_isMax_iff", "not_isMax_of_lt", "not_isMin_iff", "not_isMin_of_lt", "not_isNilpotent_one", "not_isOfFinOrder_of_injective_pow", "not_isPrimePow_one", "not_isPrimePow_zero", "not_isRightRegular_zero", "not_isRightRegular_zero_iff", "not_isTop", "not_isUnit_of_not_isUnit_dvd", "not_isUnit_zero", "not_le", "not_le_of_gt", "not_le_of_lt", "not_linearIndependent_iff", "not_lt", "not_lt_bot", "not_lt_iff_eq_or_lt", "not_lt_of_ge", "not_lt_of_gt", "not_lt_of_le", "not_lt_of_subsingleton", "not_lt_top_iff", "not_lt_zero'", "not_mem_closure_iff_nhdsWithin_eq_bot", "not_mem_mulTSupport_iff_eventuallyEq", "not_mem_of_lt_csInf", "not_mem_of_not_mem_closure", "not_monotone_not_antitone_iff_exists_le_le", "not_monotone_not_antitone_iff_exists_lt_lt", "not_mulDissociated", "not_mulDissociated_iff_exists_disjoint", "not_nat_primrec_ack_self", "not_neZero", "not_ne_iff", "not_nonempty_empty", "not_nonempty_iff", "not_nonempty_iff_imp_false", "not_nonempty_pempty", "not_nontrivial_iff_subsingleton", "not_of_eq_false", "not_or", "not_or_of_imp", "not_or_of_not", "not_prime_one", "not_prime_pow", "not_prime_zero", "not_primrec_ack_self", "not_ringChar_dvd_of_invertible", "not_sbtw_self", "not_sbtw_self_right", "not_small_ordinal", "not_small_type", "not_solvable_of_mem_derivedSeries", "not_specializes_iff_exists_closed", "not_subsingleton", "not_subsingleton_iff_nontrivial", "not_summable_iff_tendsto_nat_atTop_of_nonneg", "not_summable_indicator_mod_of_antitone_of_neg", "not_summable_of_antitone_of_neg", "not_summable_of_ratio_norm_eventually_ge", "not_summable_of_ratio_test_tendsto_gt_one", "not_summable_one_div_on_primes", "not_supIrred", "not_supIrred_bot", "not_supPrime", "not_surjective_countable_uncountable", "not_surjective_of_ordinal", "not_surjective_of_ordinal_of_small", "not_tendsto_atTop_of_tendsto_nhds", "not_tendsto_nhds_of_tendsto_atBot", "not_tendsto_nhds_of_tendsto_atTop", "not_top_lt", "not_true", "not_true_eq_false", "not_uncountable_iff", "not_wcovBy_iff", "not_xor", "npow_add", "npow_eq_pow", "npow_mul", "npow_mul'", "npow_mul_assoc", "npow_mul_comm", "npow_one", "npow_zero", "nsmul_eq_mul", "nsmul_eq_mul'", "nsmul_eq_self", "nsmul_eq_smul_cast", "nsmul_lie", "nsmul_one", "nullMeasurableSet_eq_fun", "nullMeasurableSet_le", "nullMeasurableSet_lt", "nullMeasurableSet_of_null_frontier", "nullMeasurableSet_of_tendsto_indicator", "nullMeasurableSet_regionBetween", "nullMeasurableSet_region_between_cc", "nullMeasurableSet_region_between_co", "nullMeasurableSet_region_between_oc", "numDerangements_add_two", "numDerangements_one", "numDerangements_succ", "numDerangements_sum", "numDerangements_tendsto_inv_e", "numDerangements_zero", "num_dvd_of_is_root", "num_isRoot_scaleRoots_of_aeval_eq_zero", "odd_abs", "odd_add_one_self", "odd_add_one_self'", "odd_add_self_one'", "odd_bit1", "odd_neg", "odd_one", "odd_sq_dvd_geom_sum\u2082_sub", "odd_two_mul_add_one", "ofAdd_add", "ofAdd_eq_one", "ofAdd_image_multiples_eq_powers_ofAdd", "ofAdd_list_prod", "ofAdd_neg", "ofAdd_smul", "ofAdd_sub", "ofAdd_zero", "ofAntisymmetrization_lt_ofAntisymmetrization_iff", "ofBoolAlg_inf", "ofBoolAlg_inj", "ofBoolAlg_sup", "ofBoolAlg_symmDiff", "ofBoolAlg_toBoolAlg", "ofBoolRing_add", "ofBoolRing_inj", "ofBoolRing_mul", "ofBoolRing_neg", "ofBoolRing_one", "ofBoolRing_sub", "ofBoolRing_toBoolRing", "ofDual_compares_ofDual", "ofDual_compl", "ofDual_covBy_ofDual_iff", "ofDual_div", "ofDual_himp", "ofDual_hnot", "ofDual_inf", "ofDual_intCast", "ofDual_max", "ofDual_min", "ofDual_mul", "ofDual_pow", "ofDual_sInf", "ofDual_sSup", "ofDual_symmDiff", "ofLex_div", "ofLex_inj", "ofLex_inv", "ofLex_mul", "ofLex_natCast", "ofLex_one", "ofLex_pow", "ofLex_toLex", "ofMul_div", "ofMul_eq_zero", "ofMul_image_powers_eq_multiples_ofMul", "ofMul_image_zpowers_eq_zmultiples_ofMul", "ofMul_inv", "ofMul_list_prod", "ofMul_mul", "ofMul_multiset_prod", "ofMul_one", "ofMul_pow", "ofMul_prod", "ofMul_toMul", "ofMul_uzpow", "ofMul_vadd", "ofNat_mem", "ofSet_mem_analyticGroupoid", "ofSet_mem_contDiffGroupoid", "ofUnits_le_iff_le_units", "ofUnits_units_gc", "of_boolalg_symmDiff_aux", "of_decide_eq_true", "of_eq", "of_irreducible_mul", "of_not_imp", "of_not_not", "omegaLimit_def", "omegaLimit_eq_iInter_inter", "omegaLimit_iInter", "omegaLimit_iUnion", "omegaLimit_image_eq", "omegaLimit_inter", "omegaLimit_mono_right", "omegaLimit_preimage_subset", "omegaLimit_subset_closure_fw_image", "omegaLimit_subset_of_tendsto", "omegaLimit_union", "oneLePart_div_leOnePart", "oneLePart_eq_ite", "oneLePart_eq_one", "oneLePart_eq_self", "oneLePart_inf_leOnePart_eq_one", "oneLePart_inv", "oneLePart_mono", "oneLePart_mul_leOnePart", "oneLePart_of_one_lt_oneLePart", "oneOneEquiv_refl", "one_add_div", "one_add_mul", "one_add_mul_le_pow", "one_add_mul_le_pow'", "one_add_mul_self_le_rpow_one_add", "one_add_mul_self_lt_rpow_one_add", "one_add_mul_sub_le_pow", "one_add_norm_le_sqrt_two_mul_sqrt", "one_add_one_eq_two", "one_div", "one_div_add_one_div", "one_div_div", "one_div_le", "one_div_le_of_neg", "one_div_le_one_div", "one_div_le_one_div_of_le", "one_div_le_one_div_of_neg", "one_div_le_one_div_of_neg_of_le", "one_div_lt_neg_one", "one_div_lt_one_div", "one_div_lt_one_div_of_lt", "one_div_lt_one_div_of_neg", "one_div_lt_one_div_of_neg_of_lt", "one_div_mul_add_mul_one_div_eq_one_div_add_one_div", "one_div_mul_cancel", "one_div_mul_one_div", "one_div_mul_one_div_rev", "one_div_mul_sub_mul_one_div_eq_one_div_add_one_div", "one_div_ne_zero", "one_div_neg", "one_div_neg_eq_neg_one_div", "one_div_neg_one_eq_neg_one", "one_div_nonneg", "one_div_nonpos", "one_div_one", "one_div_one_div", "one_div_pos", "one_div_pow", "one_div_pow_anti", "one_div_pow_le_one_div_pow_of_le", "one_div_pow_lt_one_div_pow_of_lt", "one_div_zpow", "one_divp", "one_dvd", "one_eq_bit1", "one_eq_inv", "one_half_le_sum_primes_ge_one_div", "one_half_lt_one", "one_half_pos", "one_le", "one_le_div", "one_le_div'", "one_le_div_iff", "one_le_div_of_neg", "one_le_finprod'", "one_le_gauge_of_not_mem", "one_le_inv", "one_le_inv_iff", "one_le_inv_of_le_one", "one_le_inv\u2080", "one_le_kstar", "one_le_leOnePart", "one_le_mabs", "one_le_mul_mabs", "one_le_mul_of_one_le_of_one_le", "one_le_mul_self_iff", "one_le_mul\u2080", "one_le_norm_one", "one_le_of_le_mul_left", "one_le_of_le_mul_right", "one_le_one_div", "one_le_padicValNat_of_dvd", "one_le_pow_iff_of_nonneg", "one_le_pow_mul_abs_eval_div", "one_le_pow_of_one_le", "one_le_pow_of_one_le'", "one_le_sq_iff", "one_le_sq_iff_one_le_abs", "one_le_thickenedIndicator_apply", "one_le_thickenedIndicator_apply'", "one_le_tprod", "one_le_two", "one_le_two'", "one_le_zpow", "one_le_zpow_of_nonneg", "one_leftCoset", "one_lt_ack_succ_left", "one_lt_ack_succ_right", "one_lt_dite", "one_lt_div", "one_lt_div'", "one_lt_div_iff", "one_lt_div_of_neg", "one_lt_finprod'", "one_lt_gold", "one_lt_iff_ne_one", "one_lt_inv", "one_lt_inv_iff", "one_lt_ite", "one_lt_ltOnePart_iff", "one_lt_mabs", "one_lt_mabs_of_lt_one", "one_lt_mul_iff", "one_lt_mul_of_le_of_lt", "one_lt_mul_self_iff", "one_lt_natDegree_of_irrational_root", "one_lt_of_lt_mul_left", "one_lt_of_lt_mul_right", "one_lt_one_div", "one_lt_pow", "one_lt_pow'", "one_lt_pow_iff", "one_lt_pow_iff_of_nonneg", "one_lt_sq_iff_one_lt_abs", "one_lt_star_iff", "one_lt_tprod", "one_lt_two", "one_lt_zpow", "one_lt_zpow'", "one_mem_commutatorSet", "one_mem_inv_coe_ideal", "one_mul", "one_ne_zero", "one_ne_zero'", "one_pow", "one_smul", "one_smul_eq_id", "one_sub_div", "one_sub_dvd_one_sub_pow", "one_sub_gold", "one_sub_goldConj", "one_sub_invOf_two", "one_sub_mul", "one_zpow", "op_geom_sum\u2082", "op_smul_eq_mul", "op_smul_mul", "op_smul_op_smul", "openEmbedding_iff_embedding_open", "openEmbedding_iff_openEmbedding_of_iSup_eq_top", "openEmbedding_inl", "openEmbedding_of_continuous_injective_open", "openEmbedding_sigmaMk", "openEmbedding_sigma_map", "openSegment_eq_Ioo", "openSegment_eq_Ioo'", "openSegment_eq_image", "openSegment_eq_image'", "openSegment_eq_image_lineMap", "openSegment_eq_image\u2082", "openSegment_same", "openSegment_subset_Ioo", "openSegment_subset_iff", "openSegment_subset_iff_segment_subset", "openSegment_subset_segment", "openSegment_subset_union", "openSegment_symm", "opensMeasurableSpace_iff_forall_measurableSet", "or_and_left", "or_and_right", "or_assoc", "or_comm", "or_congr", "or_congr_left'", "or_congr_right'", "or_false", "or_false_iff", "or_iff_left_of_imp", "or_iff_not_and_not", "or_iff_right", "or_iff_right_iff_imp", "or_iff_right_of_imp", "or_imp", "or_left_comm", "or_not", "or_not_of_imp", "or_self", "or_true", "or_true_iff", "orbit_fixingSubgroup_compl_subset", "orbit_subgroup_eq_rightCoset", "ordConnected_iff_upperClosure_inter_lowerClosure", "orderBornology_isBounded", "orderOf_abs_ne_one", "orderOf_dvd_card", "orderOf_dvd_iff_pow_eq_one", "orderOf_dvd_iff_zpow_eq_one", "orderOf_dvd_natCard", "orderOf_dvd_of_mem_zpowers", "orderOf_dvd_of_pow_eq_one", "orderOf_eq_card_of_forall_mem_zpowers", "orderOf_eq_card_powers", "orderOf_eq_iff", "orderOf_eq_of_pow_and_pow_div_prime", "orderOf_eq_one_iff", "orderOf_eq_orderOf_iff", "orderOf_eq_prime", "orderOf_eq_prime_pow", "orderOf_eq_zero", "orderOf_eq_zero_iff", "orderOf_eq_zero_iff'", "orderOf_generator_eq_natCard", "orderOf_injective", "orderOf_inv", "orderOf_le_of_pow_eq_one", "orderOf_map_dvd", "orderOf_neg_one", "orderOf_ofAdd_eq_addOrderOf", "orderOf_one", "orderOf_pos", "orderOf_pos_iff", "orderOf_pow'", "orderOf_pow_dvd", "orderOf_pow_of_dvd", "orderOf_pow_orderOf_div", "orderOf_snd_dvd_orderOf", "orderOf_submonoid", "orderTopology_of_nhds_abs", "order_separated", "orthogonalFamily_iff_pairwise", "orthogonalProjectionFn_eq", "orthogonalProjectionFn_mem", "orthogonalProjectionFn_norm_sq", "orthogonalProjection_add_orthogonalProjection_orthogonal", "orthogonalProjection_coe_linearMap_eq_linearProj", "orthogonalProjection_comp_subtypeL_eq_zero_iff", "orthogonalProjection_eq_linear_proj", "orthogonalProjection_eq_self_iff", "orthogonalProjection_eq_zero_iff", "orthogonalProjection_inner_eq_zero", "orthogonalProjection_isSelfAdjoint", "orthogonalProjection_isSymmetric", "orthogonalProjection_mem_subspace_eq_self", "orthogonalProjection_mem_subspace_orthogonalComplement_eq_zero", "orthogonalProjection_minimal", "orthogonalProjection_orthogonal", "orthogonalProjection_orthogonalProjection_of_le", "orthogonalProjection_orthogonal_val", "orthogonalProjection_singleton", "orthogonalProjection_tendsto_closure_iSup", "orthogonalProjection_tendsto_self", "orthogonalProjection_unit_singleton", "orthonormalBasis_one_dim", "orthonormal_empty", "orthonormal_fourier", "orthonormal_iff_ite", "orthonormal_span", "orthonormal_subtype_iff_ite", "orthonormal_subtype_range", "pNilradical_eq_bot", "pNilradical_eq_bot_of_frobenius_inj", "pNilradical_eq_nilradical", "pNilradical_le_nilradical", "pNilradical_prime", "padicNorm.add_eq_max_of_ne", "padicNorm.div", "padicNorm.dvd_iff_norm_le", "padicNorm.eq_zpow_of_nonzero", "padicNorm.int_eq_one_iff", "padicNorm.int_lt_one_iff", "padicNorm.mul", "padicNorm.nat_eq_one_iff", "padicNorm.nat_lt_one_iff", "padicNorm.neg", "padicNorm.nonarchimedean", "padicNorm.nonarchimedean_aux", "padicNorm.nonneg", "padicNorm.nonzero", "padicNorm.not_int_of_not_padic_int", "padicNorm.of_int", "padicNorm.one", "padicNorm.padicNorm_of_prime_of_ne", "padicNorm.padicNorm_p_lt_one", "padicNorm.padicNorm_p_lt_one_of_prime", "padicNorm.padicNorm_p_of_prime", "padicNorm.sub", "padicNorm.sum_le", "padicNorm.sum_le'", "padicNorm.sum_lt", "padicNorm.sum_lt'", "padicNorm.values_discrete", "padicNorm.zero", "padicNorm.zero_of_padicNorm_eq_zero", "padicNormE.add_eq_max_of_ne", "padicNormE.defn", "padicNormE.eq_of_norm_add_lt_right", "padicNormE.eq_padicNorm", "padicNormE.eq_padic_norm'", "padicNormE.eq_ratNorm", "padicNormE.image", "padicNormE.image'", "padicNormE.is_norm", "padicNormE.is_rat", "padicNormE.mul", "padicNormE.nonarchimedean", "padicNormE.norm_int_le_one", "padicNormE.norm_int_le_pow_iff_dvd", "padicNormE.norm_int_lt_one_iff_dvd", "padicNormE.norm_p", "padicNormE.norm_p_lt_one", "padicNormE.norm_p_pow", "padicNormE.norm_p_zpow", "padicNormE.norm_rat_le_one", "padicNorm_two_harmonic", "padicValInt.eq_zero_of_not_dvd", "padicValInt.mul", "padicValInt.of_nat", "padicValInt.of_ne_one_ne_zero", "padicValInt.one", "padicValInt.self", "padicValInt.zero", "padicValInt_dvd", "padicValInt_dvd_iff", "padicValInt_mul_eq_succ", "padicValInt_self", "padicValNat.div'", "padicValNat.div_of_dvd", "padicValNat.div_pow", "padicValNat.eq_zero_iff", "padicValNat.eq_zero_of_not_dvd", "padicValNat.maxPowDiv_eq_multiplicity", "padicValNat.maxPowDiv_eq_multiplicity_get", "padicValNat.mul", "padicValNat.one", "padicValNat.padicValNat_eq_maxPowDiv", "padicValNat.pow", "padicValNat.pow_add_pow", "padicValNat.pow_sub_pow", "padicValNat.pow_two_sub_pow", "padicValNat.prime_pow", "padicValNat.self", "padicValNat_choose", "padicValNat_choose'", "padicValNat_def", "padicValNat_def'", "padicValNat_dvd_iff", "padicValNat_dvd_iff_le", "padicValNat_eq_zero_of_mem_Ioo", "padicValNat_factorial_mul", "padicValNat_factorial_mul_add", "padicValNat_le_nat_log", "padicValNat_mul_div_factorial", "padicValNat_mul_pow_left", "padicValNat_mul_pow_right", "padicValNat_prime_prime_pow", "padicValNat_primes", "padicValNat_self", "padicValRat.add_eq_min", "padicValRat.add_eq_of_lt", "padicValRat.defn", "padicValRat.div", "padicValRat.finite_int_prime_iff", "padicValRat.inv", "padicValRat.le_padicValRat_add_of_le", "padicValRat.lt_add_of_lt", "padicValRat.lt_sum_of_lt", "padicValRat.min_le_padicValRat_add", "padicValRat.mul", "padicValRat.multiplicity_sub_multiplicity", "padicValRat.neg", "padicValRat.of_int", "padicValRat.of_int_multiplicity", "padicValRat.of_nat", "padicValRat.one", "padicValRat.padicValRat_le_padicValRat_iff", "padicValRat.pow", "padicValRat.self", "padicValRat.self_pow_inv", "padicValRat.sum_pos_of_pos", "padicValRat.zero", "padicValRat_def", "padicValRat_two_harmonic", "padic_polynomial_dist", "pairwiseDisjoint_unique", "pairwise_coprime_iff_coprime_prod", "pairwise_disjoint_mono", "pairwise_disjoint_nhds", "pairwise_disjoint_on", "pairwise_disjoint_on_bool", "pairwise_isRelPrime_iff_isRelPrime_prod", "pairwise_on_bool", "pairwise_subtype_iff_pairwise_set", "parallelepiped_basis_eq", "parallelepiped_comp_equiv", "parallelepiped_eq_convexHull", "parallelepiped_eq_sum_segment", "parallelepiped_orthonormalBasis_one_dim", "parallelepiped_single", "parallelogram_law", "parallelogram_law_with_norm", "partialSups_disjoint_of_disjoint", "partialSups_disjointed", "partialSups_eq_biSup", "partialSups_eq_ciSup_Iic", "partialSups_eq_sup_range", "partialSups_iff_forall", "partialSups_le", "partialSups_succ", "partialSups_zero", "pathComponent.nonempty", "pathComponentIn_univ", "pathComponent_congr", "pathComponent_subset_component", "pathComponent_symm", "pathConnectedSpace_iff_connectedSpace", "pathConnectedSpace_iff_eq", "pathConnectedSpace_iff_univ", "pathConnectedSpace_iff_zerothHomotopy", "pcontinuous_iff'", "perfectClosure.comap_eq_of_algHom", "perfectClosure.eq_bot_of_isSeparable", "perfectClosure.map_eq_of_algEquiv", "perfectField_iff_isSeparable_algebraicClosure", "perfectField_iff_splits_of_natSepDegree_eq_one", "perfectField_of_isSeparable_of_perfectField_top", "perfectField_of_perfectClosure_eq_bot", "perfectSpace_iff_forall_not_isolated", "periodic_circleMap", "periodic_expMapCircle", "periodizedBernoulli.continuous", "perm_of_prod_eq_prod", "pi_Icc_mem_nhds'", "pi_Ici_mem_nhds", "pi_Ici_mem_nhds'", "pi_Ico_mem_nhds", "pi_Ico_mem_nhds'", "pi_Iic_mem_nhds", "pi_Iio_mem_nhds", "pi_Iio_mem_nhds'", "pi_Ioc_mem_nhds", "pi_Ioc_mem_nhds'", "pi_Ioi_mem_nhds", "pi_Ioi_mem_nhds'", "pi_Ioo_mem_nhds", "pi_Ioo_mem_nhds'", "pi_congr", "pi_dvd_iff", "pi_eq_generateFrom", "pi_eq_sum_univ", "pi_generateFrom_eq", "pi_generateFrom_eq_finite", "pi_le_borel_pi", "pi_midpoint_apply", "pi_nnnorm_const_le'", "pi_nnnorm_le_iff'", "pi_norm_le_iff_of_nonempty'", "pi_norm_le_iff_of_nonneg'", "pi_norm_lt_iff'", "piecewise_ae_eq_of_ae_eq_set", "piecewise_ae_eq_restrict", "piecewise_ae_eq_restrict_compl", "piiUnionInter_mono_left", "piiUnionInter_mono_right", "piiUnionInter_singleton", "piiUnionInter_singleton_left", "pointedToBipointedFst_comp_swap", "pointedToTwoPFst_comp_forget_to_bipointed", "pointedToTwoPFst_comp_swap", "pointedToTwoPSnd_comp_swap", "pointed_innerDualCone", "polarCoord_source_ae_eq_univ", "polyEquivTensor_apply", "polyEquivTensor_symm_apply_tmul", "polynomialFunctions.comap_compRightAlgHom_iccHomeoI", "polynomialFunctions.eq_adjoin_X", "polynomialFunctions.le_equalizer", "polynomialFunctions.starClosure_eq_adjoin_X", "polynomialFunctions.starClosure_le_equalizer", "polynomialFunctions.starClosure_topologicalClosure", "polynomialFunctions.topologicalClosure", "polynomialFunctions_closure_eq_top", "polynomialFunctions_closure_eq_top'", "polynomialFunctions_separatesPoints", "polynomial_expand_eq", "posMulMono_iff_covariant_pos", "posMulMono_iff_mulPosMono", "posMulMono_iff_posMulReflectLT", "posMulMono_iff_posMulStrictMono", "posMulReflectLE_iff_mulPosReflectLE", "posMulReflectLE_iff_posMulReflectLT", "posMulReflectLT_iff_mulPosReflectLT", "posMulStrictMono_iff_mulPosStrictMono", "posMulStrictMono_iff_posMulReflectLE", "posSMulMono_iff_posSMulReflectLT", "posSMulStrictMono_iff_PosSMulReflectLE", "posTangentConeAt_mono", "pos_and_pos_or_neg_and_neg_of_mul_pos", "pos_and_pos_or_neg_and_neg_of_smul_pos", "pos_iff_neg_of_mul_neg", "pos_iff_pos_of_mul_pos", "pos_iff_pos_of_smul_pos", "pos_invOf_of_invertible_cast", "pos_nilpotencyClass_iff", "pos_of_gt", "pos_of_invertible_cast", "pos_of_mul_neg_right", "pos_of_mul_pos_left", "pos_of_mul_pos_right", "pos_of_smul_pos_left", "pos_of_smul_pos_right", "powCoprime_inv", "powCoprime_one", "pow_abs", "pow_add", "pow_add_pow_le", "pow_add_pow_le'", "pow_bit0", "pow_bit0'", "pow_bit0_pos_iff", "pow_bit1", "pow_bit1'", "pow_bit1_neg_iff", "pow_bit1_nonneg_iff", "pow_bit1_nonpos_iff", "pow_boole", "pow_card_eq_one", "pow_card_eq_one'", "pow_def", "pow_dite", "pow_div_pow_eventuallyEq_atBot", "pow_div_pow_eventuallyEq_atTop", "pow_dvd_of_mul_eq_pow", "pow_dvd_pow", "pow_dvd_pow_iff", "pow_dvd_pow_of_dvd", "pow_eq_neg_one_iff", "pow_eq_one_iff", "pow_eq_one_iff_cases", "pow_eq_one_iff_modEq", "pow_eq_one_iff_of_ne_zero", "pow_eq_one_iff_of_nonneg", "pow_eq_pow_iff_cases", "pow_eq_pow_iff_modEq", "pow_eq_pow_iff_of_coprime", "pow_eq_pow_iff_of_ne_zero", "pow_eq_pow_mod", "pow_eq_zero", "pow_eq_zero_iff", "pow_eq_zero_iff'", "pow_eq_zero_of_le", "pow_expChar_pow_inj_of_pNilradical_eq_bot", "pow_gcd_card_eq_one_iff", "pow_gcd_eq_one", "pow_image_of_prime_by_factor_orderIso_dvd", "pow_inj_iff_of_orderOf_eq_zero", "pow_inj_mod", "pow_injective_of_not_unit", "pow_inv_comm", "pow_inv_comm\u2080", "pow_ite", "pow_le_kstar", "pow_le_of_le_one", "pow_le_one", "pow_le_one'", "pow_le_one_iff", "pow_le_one_iff_of_nonneg", "pow_le_pow_iff_left", "pow_le_pow_iff_right", "pow_le_pow_left", "pow_le_pow_left'", "pow_le_pow_of_le_one", "pow_le_pow_right", "pow_le_pow_right'", "pow_le_pow_right_of_le_one'", "pow_left_inj", "pow_left_mono", "pow_left_strictMono", "pow_left_strictMonoOn", "pow_left_surj_of_rootableBy", "pow_lt_one", "pow_lt_one_iff", "pow_lt_one_iff_of_nonneg", "pow_lt_pow_iff_left", "pow_lt_pow_iff_right", "pow_lt_pow_iff_right'", "pow_lt_pow_iff_right_of_lt_one", "pow_lt_pow_left", "pow_lt_pow_left'", "pow_lt_pow_right", "pow_lt_pow_right'", "pow_lt_pow_right\u2080", "pow_lt_pow_succ", "pow_mem", "pow_mem_ball", "pow_mem_closedBall", "pow_mem_range_pow_of_coprime", "pow_mod_card", "pow_mod_natCard", "pow_mod_orderOf", "pow_mul", "pow_mul'", "pow_mul_comm", "pow_mul_comm'", "pow_mul_pow_eq_one", "pow_mul_pow_sub", "pow_ne_of_irreducible_X_pow_sub_C", "pow_ne_one_of_lt_orderOf'", "pow_ne_zero", "pow_nilpotencyClass", "pow_nonneg", "pow_ofLex", "pow_one", "pow_orderOf_eq_one", "pow_padicValNat_dvd", "pow_pos", "pow_pos_iff", "pow_pred_nilpotencyClass", "pow_right_comm", "pow_right_inj", "pow_right_injective", "pow_right_mono", "pow_right_strictAnti", "pow_right_strictMono", "pow_right_strictMono'", "pow_sub", "pow_sub_of_lt", "pow_sub_one_mul", "pow_sub\u2080", "pow_succ", "pow_succ'", "pow_succ_padicValNat_not_dvd", "pow_three'", "pow_toDual", "pow_toLex", "pow_two", "pow_two_pow_sub_pow_two_pow", "pow_two_semiclosed", "pow_unbounded_of_one_lt", "pow_zero", "powers.isSubmonoid", "powers.mul_mem", "powersEquivPowers_apply", "powersHom_apply", "powersHom_symm_apply", "powersMulHom_apply", "powersMulHom_symm_apply", "powers_eq_top_of_prime_card", "ppow_add", "ppow_eq_pow", "ppow_mul", "ppow_mul'", "ppow_mul_assoc", "ppow_mul_comm", "ppow_one", "preCantorSet_succ", "preCantorSet_zero", "preNormEDS'_even", "preNormEDS'_four", "preNormEDS'_odd", "preNormEDS'_one", "preNormEDS'_three", "preNormEDS'_two", "preNormEDS'_zero", "preNormEDS_even", "preNormEDS_four", "preNormEDS_neg", "preNormEDS_odd", "preNormEDS_ofNat", "preNormEDS_three", "preNormEDS_two", "preNormEDS_zero", "preStoneCechCompat", "preStoneCechExtend_extends", "preStoneCech_hom_ext", "precise_refinement", "precise_refinement_set", "preconnectedSpace_iff_connectedComponent", "preconnectedSpace_iff_univ", "preconnectedSpace_of_forall_constant", "pred_max", "pred_ne_self", "preimage_coe_mem_nhds_subtype", "preimage_connectedComponent_connected", "preimage_find_eq_disjointed", "preimage_interior_subset_interior_preimage", "preimage_map_fst_pullbackDiagonal", "preimage_mul_ball", "preimage_mul_closedBall", "preimage_mul_sphere", "preimage_nhdsWithin_coinduced'", "preimage_nhds_coinduced", "preimage_nhds_within_coinduced", "preimage_smul_set", "preimage_smul_set\u209b\u2097", "preimage_smul_set\u209b\u2097'", "preimage_smul_set\u209b\u2097_of_units", "preperfect_iff_nhds", "preperfect_iff_perfect_closure", "prevD_comp_left", "prevD_comp_right", "prevD_eq", "prevD_eq_toPrev_dTo", "prevD_eq_zero", "prevD_nat", "prime_dvd_char_iff_dvd_card", "prime_dvd_prime_iff_eq", "prime_factors_irreducible", "prime_factors_unique", "prime_mul_iff", "prime_pow_iff", "prime_pow_succ_dvd_mul", "prime_two_or_dvd_of_dvd_two_mul_pow_self_two", "primitiveRoots_zero", "primorial_add", "primorial_add_dvd", "primorial_add_le", "primorial_le_4_pow", "primorial_pos", "primorial_succ", "principal_exterior", "principal_le_nhdsSet", "prodChartedSpace_chartAt", "prodXSubSMul.eval", "prodXSubSMul.monic", "prodXSubSMul.smul", "prod_dvd_iff", "prod_eq_generateFrom", "prod_eq_tprod_mulIndicator", "prod_finprod_comm", "prod_galRestrict_eq_norm", "prod_generateFrom_generateFrom_eq", "prod_induced_induced", "prod_le_borel_prod", "prod_le_tprod", "prod_mem", "prod_mem_ideal_map_of_mem_conductor", "prod_mem_nhds_iff", "prod_mk_mem_compRel", "prod_mk_prod", "prod_mul_tprod_compl", "prod_mul_tprod_nat_add", "prod_mul_tprod_nat_mul'", "prod_mul_tprod_subtype_compl", "prod_nhdsSet_le_of_disjoint_cocompact", "prod_normalizedFactors_eq_self", "projIcc_eq_one", "pullback_nonzero", "pure_le_nhds", "pure_le_nhdsWithin", "pure_le_nhds_iff", "pythagoreanTriple_comm", "qrSign.eq_iff_eq", "qrSign.mul_left", "qrSign.mul_right", "qrSign.neg_one_pow", "qrSign.sq_eq_one", "qrSign.symm", "quadraticCharFun_eq_one_of_char_two", "quadraticCharFun_eq_pow_of_char_ne_two", "quadraticCharFun_eq_zero_iff", "quadraticCharFun_mul", "quadraticCharFun_one", "quadraticCharFun_zero", "quadraticChar_card_card", "quadraticChar_card_sqrts", "quadraticChar_eq_neg_one_iff_not_one", "quadraticChar_eq_one_of_char_two", "quadraticChar_eq_pow_of_char_ne_two", "quadraticChar_eq_pow_of_char_ne_two'", "quadraticChar_exists_neg_one'", "quadraticChar_isNontrivial", "quadraticChar_isQuadratic", "quadraticChar_ne_one", "quadraticChar_neg_one", "quadraticChar_neg_one_iff_not_isSquare", "quadraticChar_neg_two", "quadraticChar_odd_prime", "quadraticChar_one_iff_isSquare", "quadraticChar_sq_one", "quadraticChar_sq_one'", "quadraticChar_sum_zero", "quadraticChar_two", "quadraticChar_zero", "quadratic_eq_zero_iff", "quadratic_eq_zero_iff_discrim_eq_sq", "quadratic_eq_zero_iff_of_discrim_eq_zero", "quadratic_ne_zero_of_discrim_ne_sq", "quarters_mem_preCantorSet", "quasiIso'_of_comp_left", "quasiIso'_of_comp_right", "quasiIsoAt_iff", "quasiIsoAt_iff'", "quasiIsoAt_iff_comp_left", "quasiIsoAt_iff_comp_right", "quasiIsoAt_iff_exactAt", "quasiIsoAt_iff_exactAt'", "quasiIsoAt_iff_isIso_homologyMap", "quasiIsoAt_of_comp_left", "quasiIsoAt_of_comp_right", "quasiIso_iff", "quasiIso_iff_comp_left", "quasiIso_iff_comp_right", "quasiIso_iff_of_arrow_mk_iso", "quasiIso_of_comp_left", "quasiIso_of_comp_right", "quasiSober_of_open_cover", "quasiconcaveOn_iff_min_le", "quasiconvexOn_iff_le_max", "quasilinearOn_iff_mem_uIcc", "quasispectrum.algebraMap_mem_iff", "quasispectrum.coe_zero", "quasispectrum.isCompact", "quasispectrum.mem_of_not_quasiregular", "quasispectrum.not_isUnit_mem", "quasispectrum.zero_mem", "quasispectrumRestricts_iff", "quasispectrumRestricts_iff_spectrumRestricts", "quasispectrumRestricts_iff_spectrumRestricts_inr", "quasispectrum_eq_spectrum_union", "quasispectrum_eq_spectrum_union_zero", "quotAdjoinEquivQuotMap_apply_mk", "quotTensorEquivQuotSMul_comp_mk", "quotTensorEquivQuotSMul_comp_mkQ_rTensor", "quotTensorEquivQuotSMul_symm_comp_mkQ", "quotientMap_iff", "quotientMap_iff_closed", "quotientMap_quot_mk", "quotient_nhd_basis", "quotient_norm_add_le", "quotient_norm_eq_zero_iff", "quotient_norm_mk_eq", "quotient_norm_neg", "quotient_norm_sub_rev", "quotient_prod_linearEquiv", "r1Space_iff_inseparable_or_disjoint_nhds", "rTensor.inverse_comp_rTensor", "rTensor.inverse_of_rightInverse_apply", "rTensor.inverse_of_rightInverse_comp_rTensor", "rTensorHomEquivHomRTensor_apply", "rTensorHomEquivHomRTensor_toLinearMap", "rTensor_exact", "rTensor_injective_iff_lcomp_surjective", "rTensor_mkQ", "radon_partition", "range_circleMap", "range_derivWithin_subset_closure_span_image", "range_deriv_subset_closure_span_image", "range_euclideanHalfSpace", "range_euclideanQuadrant", "range_mem_nhds_isInteriorPoint", "range_mfderiv_coe_sphere", "range_nnnorm", "range_pow_padicValNat_subset_divisors", "range_pow_padicValNat_subset_divisors'", "range_toPullbackDiag", "range_two_mul", "range_two_mul_add_one", "range_vecMulLinear", "rank_add_rank_le_rank_prod", "rank_add_rank_split", "rank_closureCommutatorRepresentatives_le", "rank_commutator_le_card", "rank_directSum", "rank_dual_eq_card_dual_of_aleph0_le_rank", "rank_dual_eq_card_dual_of_aleph0_le_rank'", "rank_eq_card_basis", "rank_eq_of_equiv_equiv", "rank_eq_one", "rank_eq_one_iff", "rank_eq_zero_iff", "rank_eq_zero_iff_isTorsion", "rank_fin_fun", "rank_finsupp", "rank_finsupp'", "rank_fun", "rank_fun'", "rank_fun_eq_lift_mul", "rank_fun_infinite", "rank_le", "rank_le_card", "rank_le_of_injective_injective", "rank_le_of_submodule", "rank_le_of_surjective_injective", "rank_le_one_iff", "rank_lt_aleph0", "rank_lt_rank_dual", "rank_lt_rank_dual'", "rank_map_le", "rank_matrix", "rank_matrix'", "rank_matrix''", "rank_modTorsion", "rank_mul_rank", "rank_pi", "rank_pos", "rank_pos_iff_exists_ne_zero", "rank_prod", "rank_punit", "rank_quotient_add_rank", "rank_quotient_add_rank_le", "rank_quotient_add_rank_of_divisionRing", "rank_quotient_add_rank_of_isDomain", "rank_quotient_eq_of_le_torsion", "rank_quotient_le", "rank_range_add_rank_ker", "rank_range_of_surjective", "rank_real_of_complex", "rank_self", "rank_span", "rank_span_le", "rank_span_of_finset", "rank_span_set", "rank_submodule_eq_one_iff", "rank_submodule_le", "rank_submodule_le_one_iff", "rank_submodule_le_one_iff'", "rank_subsingleton", "rank_subsingleton'", "rank_tensorProduct", "rank_tensorProduct'", "rank_top", "rank_ulift", "rank_zero_iff", "rank_zero_iff_forall_zero", "ratCast_smul_eq", "rat_add_continuous_lemma", "rat_inv_continuous_lemma", "rat_mul_continuous_lemma", "ray_eq_iff", "re_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two", "re_inner_le_norm", "realPart_I_smul", "realPart_add_I_smul_imaginaryPart", "realPart_apply_coe", "realPart_comp_subtype_selfAdjoint", "realPart_idem", "realPart_ofReal", "realPart_smul", "realPart_surjective", "real_inner_I_smul_self", "real_inner_add_add_self", "real_inner_add_sub_eq_zero_iff", "real_inner_comm", "real_inner_div_norm_mul_norm_eq_neg_one_iff", "real_inner_div_norm_mul_norm_eq_neg_one_of_ne_zero_of_neg_mul", "real_inner_div_norm_mul_norm_eq_one_iff", "real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul", "real_inner_eq_norm_add_mul_self_sub_norm_mul_self_sub_norm_mul_self_div_two", "real_inner_eq_norm_mul_self_add_norm_mul_self_sub_norm_sub_mul_self_div_two", "real_inner_eq_re_inner", "real_inner_le_norm", "real_inner_mul_inner_self_le", "real_inner_self_abs", "real_inner_self_eq_norm_mul_norm", "real_inner_self_eq_norm_sq", "real_inner_self_nonneg", "real_inner_self_nonpos", "real_inner_smul_left", "real_inner_smul_self_left", "real_inner_smul_self_right", "real_inner_sub_sub_self", "rec_heq_of_heq", "rec_subsingleton", "reesAlgebra.fg", "reesAlgebra.monomial_mem", "refinement_of_locallyCompact_sigmaCompact_of_nhds_basis", "refinement_of_locallyCompact_sigmaCompact_of_nhds_basis_set", "refl", "reflTransGen_of_pred", "reflTransGen_of_pred_of_ge", "reflTransGen_of_pred_of_le", "reflTransGen_of_succ", "reflTransGen_of_succ_of_ge", "reflTransGen_of_succ_of_le", "refl_le_uniformity", "refl_mem_uniformity", "refl_of", "reflection_apply", "reflection_bot", "reflection_eq_self_iff", "reflection_inv", "reflection_map", "reflection_map_apply", "reflection_mem_subspace_eq_self", "reflection_mem_subspace_orthogonalComplement_eq_neg", "reflection_mem_subspace_orthogonal_precomplement_eq_neg", "reflection_orthogonal", "reflection_orthogonalComplement_singleton_eq_neg", "reflection_orthogonal_apply", "reflection_singleton_apply", "reflection_sub", "reflection_trans_reflection", "reflexive_manyOneReducible", "reflexive_ne_imp_iff", "reflexive_oneOneReducible", "regionBetween_subset", "regularSpace_TFAE", "regularSpace_iInf", "regularSpace_induced", "regularSpace_sInf", "rel_act_of_act_rel_act_of_rel_act", "rel_iSup_prod", "rel_iSup_tprod", "rel_iff_cov", "rel_imp_eq_of_rel_imp_le", "rel_sup_mul", "rescale_to_shell", "rescale_to_shell_semi_normed", "rescale_to_shell_semi_normed_zpow", "residual_of_dense_G\u03b4", "residual_of_dense_open", "restrictGermPredicate_congr", "restrictRootsOfUnity_coe_apply", "rexp_cexp_aux", "rexp_neg_image_aux", "rexp_neg_injOn_aux", "rexp_neg_quadratic_isLittleO_rpow_atTop", "riemannZeta_def_of_ne_zero", "riemannZeta_eulerProduct", "riemannZeta_eulerProduct_hasProd", "riemannZeta_four", "riemannZeta_ne_zero_of_one_lt_re", "riemannZeta_neg_nat_eq_bernoulli", "riemannZeta_neg_nat_eq_bernoulli'", "riemannZeta_one", "riemannZeta_one_ne_zero", "riemannZeta_one_sub", "riemannZeta_residue_one", "riemannZeta_two", "riemannZeta_two_mul_nat", "riemannZeta_zero", "rieszContentAux_image_nonempty", "rieszContentAux_le", "rieszContentAux_mono", "rieszContentAux_sup_le", "riesz_extension", "riesz_lemma", "riesz_lemma_of_norm_lt", "rightCoset_assoc", "rightCoset_eq_iff", "rightCoset_mem_rightCoset", "rightCoset_one", "rightLim_eq_of_eq_bot", "right_comm", "right_distrib", "right_div_gcd_ne_zero", "right_eq_inf", "right_eq_midpoint_iff", "right_eq_mul\u2080", "right_iff_left_not_left", "right_iff_left_not_left_of", "right_le_midpoint", "right_lt_lineMap_iff_lt", "right_lt_sup", "right_mem_affineSpan_pair", "right_mem_openSegment_iff", "right_mem_segment", "right_ne_zero_of_mul", "right_ne_zero_of_mul_eq_one", "right_nhdsWithin_Ico_neBot", "right_nhdsWithin_Ioo_neBot", "right_subset_compRel", "ringChar.Nat.cast_ringChar", "ringChar.dvd", "ringChar.eq_iff", "ringChar.eq_zero", "ringChar.spec", "ringExpChar.eq", "ringExpChar.eq_one", "ringHom_monotone", "rootOfSplitsXPowSubC_pow", "root_X_pow_sub_C_eq_zero_iff", "root_X_pow_sub_C_ne_zero'", "root_X_pow_sub_C_pow", "rootsOfUnity.coe_injective", "rootsOfUnity.coe_mkOfPowEq", "rootsOfUnity.coe_pow", "rootsOfUnity.integer_power_of_ringEquiv", "rootsOfUnity.integer_power_of_ringEquiv'", "rootsOfUnityEquivNthRoots_apply", "rootsOfUnityEquivNthRoots_symm_apply", "rootsOfUnityEquivOfPrimitiveRoots_symm_apply", "rootsOfUnity_le_of_dvd", "rootsOfUnity_one", "roots_mem_integralClosure", "rotation_apply", "rotation_injective", "rotation_ne_conjLIE", "rotation_symm", "rotation_trans", "rothNumberNat_add_le", "rothNumberNat_isLittleO_id", "rothNumberNat_spec", "rothNumberNat_zero", "roth_3ap_theorem", "roth_3ap_theorem_nat", "round_add_int", "round_add_ofNat", "round_add_one", "round_eq", "round_eq_zero_iff", "round_int_add", "round_le", "round_nat_add", "round_neg_two_inv", "round_ofNat_add", "round_one", "round_sub_int", "round_sub_one", "round_two_inv", "rpow_mul_exp_neg_mul_rpow_isLittleO_exp_neg", "rpow_mul_exp_neg_mul_sq_isLittleO_exp_neg", "rpow_neg_one_add_norm_sq_le", "rpow_one_add_le_one_add_mul_self", "rpow_one_add_lt_one_add_mul_self", "rtendsto'_nhds", "rtendsto_nhds", "sInfHom.coe_comp", "sInfHom.coe_copy", "sInfHom.coe_id", "sInfHom.coe_mk", "sInfHom.comp_apply", "sInfHom.comp_id", "sInfHom.continuous", "sInfHom.copy_eq", "sInfHom.dual_comp", "sInfHom.ext", "sInfHom.id_apply", "sInfHom.id_comp", "sInfHom.symm_dual_id", "sInfHom.toFun_eq_coe", "sInfHom.top_apply", "sInf_Prop_eq", "sInf_div", "sInf_empty", "sInf_eq_argmin_on", "sInf_eq_iInf", "sInf_eq_iInf'", "sInf_image", "sInf_image'", "sInf_image2", "sInf_image2_eq_sInf_sSup", "sInf_image2_eq_sSup_sInf", "sInf_insert", "sInf_inv", "sInf_le", "sInf_le_of_le", "sInf_le_sInf", "sInf_le_sInf_of_forall_exists_le", "sInf_le_sInf_of_subset_insert_top", "sInf_lt_iff", "sInf_mem_of_not_isPredLimit", "sInf_prod", "sInf_range", "sInf_sUnion", "sInf_union", "sInf_univ", "sInf_within_of_ordConnected", "sSupHom.bot_apply", "sSupHom.coe_bot", "sSupHom.coe_comp", "sSupHom.coe_copy", "sSupHom.coe_id", "sSupHom.coe_mk", "sSupHom.comp_apply", "sSupHom.comp_id", "sSupHom.continuous", "sSupHom.copy_eq", "sSupHom.ext", "sSupHom.id_apply", "sSupHom.id_comp", "sSupHom.symm_dual_comp", "sSupHom.symm_dual_id", "sSupHom.toFun_eq_coe", "sSup_Prop_eq", "sSup_apply", "sSup_atoms_eq_top", "sSup_atoms_le_eq", "sSup_compact_eq_top", "sSup_compact_le_eq", "sSup_disjoint_iff", "sSup_div", "sSup_empty", "sSup_eq_bot", "sSup_eq_iSup", "sSup_eq_iSup'", "sSup_iUnion", "sSup_iUnion_Iic", "sSup_image", "sSup_image'", "sSup_image2", "sSup_image2_eq_sInf_sSup", "sSup_image2_eq_sSup_sSup", "sSup_inf_eq", "sSup_inf_sSup", "sSup_insert", "sSup_inv", "sSup_le", "sSup_le_iff", "sSup_le_sSup", "sSup_le_sSup_of_forall_exists_le", "sSup_mem_closure", "sSup_mem_of_not_isSuccLimit", "sSup_mul", "sSup_one", "sSup_pair", "sSup_range", "sSup_sUnion", "sSup_singleton", "sSup_union", "sSup_univ", "sSup_within_of_ordConnected", "sUnion_memPartition", "sameRay_iff_inv_norm_smul_eq", "sameRay_iff_inv_norm_smul_eq_of_ne", "sameRay_iff_norm_add", "sameRay_iff_norm_smul_eq", "sameRay_iff_of_norm_eq", "sameRay_neg_iff", "sameRay_neg_smul_left_iff_of_ne", "sameRay_neg_smul_right_iff", "sameRay_neg_smul_right_iff_of_ne", "sameRay_neg_swap", "sameRay_of_mem_orbit", "sameRay_of_mem_segment", "sameRay_or_sameRay_neg_iff_not_linearIndependent", "sameRay_smul_left_iff_of_ne", "sameRay_smul_right_iff", "sameRay_smul_right_iff_of_ne", "same_add_div", "same_sub_div", "sbtw_comm", "sbtw_const_vadd_iff", "sbtw_const_vsub_iff", "sbtw_cyclic", "sbtw_cyclic_left", "sbtw_cyclic_right", "sbtw_iff_btw_not_btw", "sbtw_iff_left_ne_and_right_mem_image_Ioi", "sbtw_iff_mem_image_Ioo_and_ne", "sbtw_iff_not_btw", "sbtw_iff_right_ne_and_left_mem_image_Ioi", "sbtw_irrefl_left", "sbtw_irrefl_right", "sbtw_lineMap_iff", "sbtw_midpoint_of_ne", "sbtw_mul_sub_add_iff", "sbtw_of_btw_not_btw", "sbtw_of_sbtw_of_sbtw_of_mem_affineSpan_pair", "sbtw_one_zero_iff", "sbtw_pointReflection_of_ne", "sbtw_trans_right", "sbtw_vadd_const_iff", "sbtw_vsub_const_iff", "sbtw_zero_one_iff", "scaleRoots_aeval_eq_zero_of_aeval_mk'_eq_zero", "schnirelmannDensity_congr'", "schnirelmannDensity_diff_singleton_zero", "schnirelmannDensity_eq_one_iff", "schnirelmannDensity_eq_one_iff_of_zero_mem", "schnirelmannDensity_finite", "schnirelmannDensity_finset", "schnirelmannDensity_insert_zero", "schnirelmannDensity_le_div", "schnirelmannDensity_le_iff_forall", "schnirelmannDensity_le_of_le", "schnirelmannDensity_le_of_not_mem", "schnirelmannDensity_le_one", "schnirelmannDensity_lt_iff", "schnirelmannDensity_mul_le_card_filter", "schnirelmannDensity_setOf_Odd", "schnirelmannDensity_setOf_even", "schnirelmannDensity_setOf_mod_eq_one", "schnirelmannDensity_setOf_modeq_one", "schnirelmannDensity_setOf_prime", "schwartz_withSeminorms", "scottContinuous_of_continuous", "sdiff_bot", "sdiff_compl", "sdiff_eq", "sdiff_eq_bot_iff", "sdiff_eq_left", "sdiff_eq_right", "sdiff_eq_sdiff_iff_inf_eq_inf", "sdiff_eq_self_iff_disjoint", "sdiff_eq_self_iff_disjoint'", "sdiff_eq_symm", "sdiff_idem", "sdiff_inf", "sdiff_inf_distrib", "sdiff_inf_sdiff", "sdiff_inf_self_left", "sdiff_inf_self_right", "sdiff_le", "sdiff_le'", "sdiff_le_comm", "sdiff_le_iff", "sdiff_le_iff'", "sdiff_le_iff_left", "sdiff_le_inf_hnot", "sdiff_le_sdiff", "sdiff_le_sdiff_of_sup_le_sup_left", "sdiff_le_sdiff_of_sup_le_sup_right", "sdiff_le_sdiff_right", "sdiff_lt", "sdiff_right_comm", "sdiff_sdiff", "sdiff_sdiff_comm", "sdiff_sdiff_eq_sdiff_sup", "sdiff_sdiff_eq_self", "sdiff_sdiff_le", "sdiff_sdiff_left", "sdiff_sdiff_left'", "sdiff_sdiff_right", "sdiff_sdiff_right'", "sdiff_sdiff_right_self", "sdiff_sdiff_sdiff_cancel_right", "sdiff_sdiff_sdiff_le_sdiff", "sdiff_sdiff_self", "sdiff_sdiff_sup_sdiff", "sdiff_self", "sdiff_sup", "sdiff_sup_cancel", "sdiff_sup_sdiff_cancel", "sdiff_sup_self", "sdiff_sup_self'", "sdiff_symmDiff", "sdiff_symmDiff'", "sdiff_symmDiff_eq_sup", "sdiff_symmDiff_left", "sdiff_symmDiff_right", "sdiff_triangle", "sdiff_unique", "second_derivative_symmetric", "second_derivative_symmetric_of_eventually", "segment_eq_Icc'", "segment_eq_image", "segment_eq_image'", "segment_eq_image_lineMap", "segment_eq_image\u2082", "segment_eq_uIcc", "segment_inter_eq_endpoint_of_linearIndependent_of_ne", "segment_inter_eq_endpoint_of_linearIndependent_sub", "segment_same", "segment_subset_Icc", "segment_subset_closure_openSegment", "segment_subset_convexHull", "segment_subset_convexJoin", "segment_subset_iff", "segment_subset_uIcc", "segment_symm", "segment_translate_image", "selfAdjoint.mem_iff", "selfAdjoint.mem_spectrum_eq_re", "selfAdjoint.nnnorm_pow_two_pow", "selfAdjoint.star_val_eq", "selfAdjoint.val_div", "selfAdjoint.val_inv", "selfAdjoint.val_one", "selfAdjoint.val_pow", "selfAdjoint.val_qsmul", "selfAdjoint.val_ratCast", "selfAdjoint.val_re_map_spectrum", "selfAdjoint.val_smul", "selfAdjoint.val_zpow", "selfAdjointPart_comp_subtype_selfAdjoint", "selfAdjointPart_comp_subtype_skewAdjoint", "selfZPow_add", "selfZPow_mul_neg", "selfZPow_natCast", "selfZPow_neg_mul", "selfZPow_neg_natCast", "selfZPow_of_neg", "selfZPow_of_nonpos", "selfZPow_pow_sub", "selfZPow_sub_natCast", "selfZPow_zero", "self_diff_frontier", "self_eq_neg", "self_le_mul_left", "self_le_mul_right", "self_le_wellOrderSucc", "self_lt_wellOrderSucc", "self_mem_nhdsWithin", "self_mul_sign", "self_sub_toIcoDiv_zsmul", "self_sub_toIcoMod", "self_sub_toIocDiv_zsmul", "self_sub_toIocMod", "self_subset_gauge_le_one", "semiconjBy_iff_eq", "semiconjBy_star_star_star", "semilatticeSup_mk'_partialOrder_eq_semilatticeInf_mk'_partialOrder", "separableClosure.adjoin_eq_of_isAlgebraic", "separableClosure.adjoin_eq_of_isAlgebraic_of_isSeparable", "separableClosure.adjoin_le", "separableClosure.eq_bot_iff", "separableClosure.eq_bot_of_isPurelyInseparable", "separableClosure.eq_restrictScalars_of_isSeparable", "separableClosure.eq_top_iff", "separableClosure.isPurelyInseparable", "separableClosure.le_restrictScalars", "separableClosure.map_eq_of_algEquiv", "separableClosure.map_eq_of_separableClosure_eq_bot", "separableClosure.map_le_of_algHom", "separableClosure.normalClosure_eq_self", "separableClosure.separableClosure_eq_bot", "separableClosure_le", "separableClosure_le_iff", "separate_convex_open_set", "separatedNhds_iff_disjoint", "separated_by_continuous", "separatesPoints_continuous_of_t35Space", "separatingDual_iff_injective", "seqClosure_eq_closure", "seqClosure_subset_closure", "seq_bind_eq", "seq_map_assoc", "setIntegral_Ioi_zero_cpow", "setIntegral_re_add_im", "setIntegral_withDensity_eq_setIntegral_smul", "setIntegral_withDensity_eq_setIntegral_smul\u2080", "setIntegral_withDensity_eq_setIntegral_smul\u2080'", "setOf_isOpen_iSup", "setOf_isOpen_sSup", "setOf_isOpen_sup", "setOf_isPreconnected_eq_of_ordered", "setOf_isPreconnected_subset_of_ordered", "setOf_liouvilleWith_subset_aux", "setOf_liouville_eq_iInter_iUnion", "setOf_liouville_eq_irrational_inter_iInter_iUnion", "set_fintype_card_eq_univ_iff", "set_has_maximal_iff_noetherian", "set_has_minimal_iff_artinian", "set_pi_mem_nhds", "set_pi_mem_nhds_iff", "set_smul_mem_nhds_smul", "set_smul_mem_nhds_smul_iff", "set_smul_mem_nhds_zero_iff", "set_smul_sphere_zero", "sigmaFinsuppEquivDFinsupp_apply", "sigmaFinsuppEquivDFinsupp_single", "sigmaFinsuppEquivDFinsupp_smul", "sigmaFinsuppEquivDFinsupp_support", "sigma_mk_injective", "sigma_mk_preimage_image'", "sigma_mk_preimage_image_eq_self", "sign_apply", "sign_cases_of_C_mul_pow_nonneg", "sign_eq_neg_one_iff", "sign_eq_of_affineCombination_mem_affineSpan_pair", "sign_eq_of_affineCombination_mem_affineSpan_single_lineMap", "sign_eq_one_iff", "sign_eq_zero_iff", "sign_finRotate", "sign_intCast", "sign_mul", "sign_mul_abs", "sign_mul_self", "sign_ne_zero", "sign_neg", "sign_nonneg_iff", "sign_nonpos_iff", "sign_one", "sign_pos", "sign_pow", "sign_sum", "sign_zero", "simple_iff_isSimpleModule", "simple_iff_isSimpleModule'", "simple_of_finrank_eq_one", "simply_connected_iff_paths_homotopic", "simply_connected_iff_paths_homotopic'", "simply_connected_iff_unique_homotopic", "single_le_finprod", "single_mem_stdSimplex", "singleton_div_ball", "singleton_div_ball_one", "singleton_div_closedBall", "singleton_div_closedBall_one", "singleton_mem_nhdsWithin_of_mem_discrete", "singleton_mul_ball", "singleton_mul_ball_one", "singleton_mul_closedBall", "singleton_mul_closedBall_one", "singleton_mul_mem_nhds_of_nhds_one", "singleton_span_mem_normalizedFactors_of_mem_normalizedFactors", "singletons_open_iff_discrete", "skewAdjoint.I_smul_neg_I", "skewAdjoint.conjugate", "skewAdjoint.conjugate'", "skewAdjoint.isStarNormal_of_mem", "skewAdjoint.mem_iff", "skewAdjoint.smul_mem", "skewAdjoint.val_smul", "skewAdjointLieSubalgebraEquiv_symm_apply", "skewAdjointMatricesLieSubalgebraEquiv_apply", "skewAdjointPart_comp_subtype_selfAdjoint", "skewAdjointPart_comp_subtype_skewAdjoint", "skewAdjointPart_eq_I_smul_imaginaryPart", "skyscraperPresheaf_eq_pushforward", "skyscraperPresheaf_isSheaf", "slope_comm", "slope_def_field", "slope_def_module", "slope_fun_def", "slope_neg", "slope_neg_fun", "slope_same", "slope_sub_smul", "slope_vadd_const", "small_congr", "small_map", "small_of_injective", "small_of_injective_of_exists", "small_of_surjective", "small_subset", "smoothAt_const", "smoothAt_finprod", "smoothAt_finset_prod", "smoothAt_fst", "smoothAt_hom_bundle", "smoothAt_id", "smoothAt_iff_target", "smoothAt_inv\u2080", "smoothAt_one", "smoothAt_prod_iff", "smoothAt_snd", "smoothManifoldWithCorners_of_contDiffOn", "smoothOn_const", "smoothOn_finset_prod", "smoothOn_finset_prod'", "smoothOn_fst", "smoothOn_id", "smoothOn_iff", "smoothOn_snd", "smoothOn_symm_coordChangeL", "smoothOn_univ", "smoothSheaf.eval_surjective", "smoothSheaf.obj_eq", "smoothSheaf.smooth_section", "smoothSheaf.\u03b9_evalHom", "smoothSheafCommRing.evalHom_germ", "smoothSheafCommRing.eval_germ", "smoothSheafCommRing.eval_surjective", "smoothSheafCommRing.forgetStalk_inv_comp_eval", "smoothSheafCommRing.isUnit_stalk_iff", "smoothSheafCommRing.nonunits_stalk", "smoothSheafCommRing.\u03b9_forgetStalk_hom", "smoothSheafCommRing.\u03b9_forgetStalk_inv", "smoothWithinAt_const", "smoothWithinAt_id", "smoothWithinAt_iff", "smoothWithinAt_iff_target", "smoothWithinAt_pi_space", "smoothWithinAt_snd", "smoothWithinAt_univ", "smooth_barycentric_coord", "smooth_const", "smooth_finprod", "smooth_finset_prod", "smooth_fst", "smooth_iff", "smooth_iff_target", "smooth_inclusion", "smooth_inv", "smooth_mul", "smooth_mul_right", "smooth_one", "smooth_pow", "smooth_prod_assoc", "smooth_prod_iff", "smooth_snd", "smooth_subtype_iff", "smooth_subtype_val", "smulAddHom_apply", "smulPosMono_iff_smulPosStrictMono", "smulPosStrictMono_iff_SMulPosReflectLE", "smul_add", "smul_add_one_sub_smul", "smul_add_smul_le_smul_add_smul", "smul_add_smul_le_smul_add_smul'", "smul_add_smul_lt_smul_add_smul", "smul_add_smul_lt_smul_add_smul'", "smul_algebraMap", "smul_assoc", "smul_balancedCore_subset", "smul_ball", "smul_ball''", "smul_ball_one", "smul_cancel_of_non_zero_divisor", "smul_ceilDiv", "smul_closedBall", "smul_closedBall'", "smul_closedBall''", "smul_closedUnitBall", "smul_closedUnitBall_of_nonneg", "smul_coe_set", "smul_div'", "smul_div_assoc", "smul_eq_iff_eq_invOf_smul", "smul_eq_mul", "smul_eq_self_of_mem_zpowers", "smul_eq_self_of_preimage_zpow_eq_self", "smul_eq_smul_iff_eq_and_eq_of_pos", "smul_eq_smul_iff_eq_and_eq_of_pos'", "smul_eq_zero", "smul_eq_zero_iff_eq", "smul_eq_zero_iff_right", "smul_eq_zero_of_left", "smul_finsum", "smul_floorDiv", "smul_floorDiv_le", "smul_iInf_le", "smul_inf_le", "smul_inv", "smul_inv'", "smul_inv''", "smul_inv_le_iff_of_neg", "smul_inv_lt_iff_of_neg", "smul_inv_smul", "smul_inv_smul\u2080", "smul_inv\u2080", "smul_ite_zero", "smul_iterate", "smul_iterate_apply", "smul_le_iff_le_one_left", "smul_le_of_le_one_left", "smul_le_smul", "smul_le_smul'", "smul_le_smul_iff_of_neg_left", "smul_le_smul_iff_of_pos_right", "smul_le_smul_left", "smul_le_smul_of_nonneg_left", "smul_le_smul_of_nonneg_right", "smul_le_smul_of_nonpos_left", "smul_left_cancel", "smul_left_cancel_iff", "smul_left_injective", "smul_left_injective'", "smul_lie", "smul_lowerBounds_subset_upperBounds_smul", "smul_lt_iff_lt_one_left", "smul_lt_of_lt_one_left", "smul_lt_smul'", "smul_lt_smul_iff_of_neg_left", "smul_lt_smul_iff_of_pos_left", "smul_lt_smul_iff_of_pos_right", "smul_lt_smul_of_le_of_lt'", "smul_lt_smul_of_lt_of_le'", "smul_lt_smul_of_neg_left", "smul_lt_smul_of_pos_left", "smul_lt_smul_of_pos_right", "smul_max_of_nonneg", "smul_max_of_nonpos", "smul_mem_nhds", "smul_min_of_nonneg", "smul_mono_right", "smul_mul'", "smul_mul_assoc", "smul_mul_smul", "smul_ne_zero_iff", "smul_ne_zero_iff_left", "smul_ne_zero_iff_ne", "smul_ne_zero_iff_right", "smul_neg", "smul_neg_iff_of_neg_left", "smul_neg_iff_of_pos_left", "smul_neg_of_pos_of_neg", "smul_nonneg", "smul_nonneg'", "smul_nonneg_iff_neg_imp_nonpos", "smul_nonneg_iff_pos_imp_nonneg", "smul_nonneg_of_nonpos_of_nonpos", "smul_nonpos_iff", "smul_nonpos_iff_neg_imp_nonneg", "smul_nonpos_iff_pos_imp_nonpos", "smul_nonpos_of_nonneg_of_nonpos", "smul_nonpos_of_nonpos_of_nonneg", "smul_one_mul", "smul_one_smul", "smul_orthogonalProjection_singleton", "smul_pi", "smul_pi_subset", "smul_pi\u2080", "smul_pos", "smul_pos'", "smul_pos_iff_of_neg_left", "smul_pos_iff_of_pos_left", "smul_pos_iff_of_pos_right", "smul_pow", "smul_pow'", "smul_preimage_set_le\u209b\u2097", "smul_rayOfNeZero", "smul_right_inj", "smul_right_injective", "smul_set_closure_subset", "smul_singleton_mem_nhds_of_sigmaCompact", "smul_smul", "smul_smul_smul_comm", "smul_sphere", "smul_sphere'", "smul_sub", "smul_top_inf_eq_smul_of_isSMulRegular_on_quot", "smul_unitBall", "smul_unitBall_of_pos", "smul_univ_pi", "smul_upperBounds_subset_upperBounds_smul_of_nonneg", "smul_vsub_mem_vectorSpan_pair", "smul_vsub_rev_mem_vectorSpan_pair", "smul_vsub_rev_vadd_mem_affineSpan_pair", "smul_vsub_vadd_mem_affineSpan_pair", "smul_zero", "smul_zpow", "snd_compl", "snd_himp", "snd_hnot", "snd_integral", "snd_sdiff", "soln_deriv_norm", "soln_dist_to_a", "soln_dist_to_a_lt_deriv", "soln_spec", "soln_unique", "solvableByRad.induction", "solvableByRad.induction1", "solvableByRad.induction2", "solvableByRad.induction3", "solvableByRad.isIntegral", "solvableByRad.isSolvable", "solvableByRad.isSolvable'", "solvable_of_ker_le_range", "spanPoints_nonempty", "span_coeff_minpolyDiv", "span_eq_iUnion_nat", "span_eq_top_localization_localization", "span_eq_top_of_isLocalizedModule", "span_fourierLp_closure_eq_top", "span_gcd", "span_gramSchmidtNormed", "span_gramSchmidtNormed_range", "span_le_span_iff", "span_lt_top_of_card_lt_finrank", "span_selfAdjoint", "span_singleton_dvd_span_singleton_iff_dvd", "spec'", "spec_cfc\u2099Aux", "specializes_TFAE", "specializes_comm", "specializes_eq_eq", "specializes_iff_closure_subset", "specializes_iff_clusterPt", "specializes_iff_eq", "specializes_iff_exterior_subset", "specializes_iff_forall_closed", "specializes_iff_inseparable", "specializes_iff_mem_closure", "specializes_iff_not_disjoint", "specializes_of_nhdsWithin", "specializes_pi", "specializes_prod", "specializes_refl", "specializes_rfl", "spectrum.add_mem_add_iff", "spectrum.add_mem_iff", "spectrum.add_singleton_eq", "spectrum.algebraMap_eq_of_mem", "spectrum.algebraMap_mem_iff", "spectrum.differentiableOn_inverse_one_sub_smul", "spectrum.eventually_isUnit_resolvent", "spectrum.exists_mem_of_not_isUnit_aeval_prod", "spectrum.exists_nnnorm_eq_spectralRadius", "spectrum.exists_nnnorm_eq_spectralRadius_of_nonempty", "spectrum.exp_mem_exp", "spectrum.gelfandTransform_eq", "spectrum.hasDerivAt_resolvent", "spectrum.hasFPowerSeriesOnBall_inverse_one_sub_smul", "spectrum.inv_mem_iff", "spectrum.inv_mem_resolventSet", "spectrum.isBounded", "spectrum.isClosed", "spectrum.isUnit_one_sub_smul_of_lt_inv_radius", "spectrum.isUnit_resolvent", "spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadius", "spectrum.map_inv", "spectrum.map_polynomial_aeval", "spectrum.map_polynomial_aeval_of_degree_pos", "spectrum.map_polynomial_aeval_of_nonempty", "spectrum.map_pow", "spectrum.map_pow_of_nonempty", "spectrum.map_pow_of_pos", "spectrum.map_star", "spectrum.mem_iff", "spectrum.mem_resolventSet_iff", "spectrum.mem_resolventSet_of_norm_lt", "spectrum.mem_resolventSet_of_norm_lt_mul", "spectrum.mem_resolventSet_of_spectralRadius_lt", "spectrum.ne_zero_of_mem_of_unit", "spectrum.neg_eq", "spectrum.nonempty", "spectrum.nonempty_of_isAlgClosed_of_finiteDimensional", "spectrum.nonzero_mul_eq_swap_mul", "spectrum.norm_le_norm_mul_of_mem", "spectrum.norm_le_norm_of_mem", "spectrum.not_mem_iff", "spectrum.of_subsingleton", "spectrum.one_eq", "spectrum.pow_image_subset", "spectrum.pow_nnnorm_pow_one_div_tendsto_nhds_spectralRadius", "spectrum.pow_norm_pow_one_div_tendsto_nhds_spectralRadius", "spectrum.preimage_units_mul_eq_swap_mul", "spectrum.resolventSet_of_subsingleton", "spectrum.resolvent_eq", "spectrum.resolvent_isBigO_inv", "spectrum.resolvent_tendsto_cobounded", "spectrum.scalar_eq", "spectrum.singleton_add_eq", "spectrum.singleton_sub_eq", "spectrum.smul_eq_smul", "spectrum.smul_mem_smul_iff", "spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_div", "spectrum.spectralRadius_le_nnnorm", "spectrum.spectralRadius_le_pow_nnnorm_pow_one_div", "spectrum.spectralRadius_lt_of_forall_lt", "spectrum.spectralRadius_lt_of_forall_lt_of_nonempty", "spectrum.spectralRadius_zero", "spectrum.star_mem_resolventSet_iff", "spectrum.sub_singleton_eq", "spectrum.subset_circle_of_unitary", "spectrum.subset_closedBall_norm", "spectrum.subset_closedBall_norm_mul", "spectrum.subset_polynomial_aeval", "spectrum.subset_singleton_zero_compl", "spectrum.subset_starSubalgebra", "spectrum.subset_subalgebra", "spectrum.unit_mem_mul_iff_mem_swap_mul", "spectrum.unit_smul_eq_smul", "spectrum.units_conjugate", "spectrum.units_conjugate'", "spectrum.units_smul_resolvent", "spectrum.units_smul_resolvent_self", "spectrum.vadd_eq", "spectrum.zero_eq", "spectrum.zero_mem_iff", "spectrum.zero_mem_resolventSet_of_unit", "spectrum.zero_not_mem_iff", "spectrumRestricts_iff", "spectrum_diagonal", "spectrum_nonneg_of_nonneg", "spectrum_star_mul_self_nonneg", "spectrum_star_mul_self_of_isStarNormal", "spectrum_subset_circle_of_mem_unitary", "spectrum_subset_quasispectrum", "sphere_ext_iff", "sphere_pi", "sphere_prod", "split_by_characteristic", "split_by_characteristic_domain", "split_by_characteristic_localRing", "split_equalCharZero_mixedCharZero", "splits_X_pow_sub_one_of_X_pow_sub_C", "sq_abs", "sq_add_mul_sq_mul_sq_add_mul_sq", "sq_add_sq_mul", "sq_add_sq_mul_sq_add_sq", "sq_dvd_add_pow_sub_sub", "sq_eq_one_iff", "sq_eq_sq", "sq_eq_sq_iff_abs_eq_abs", "sq_eq_sq_iff_eq_or_eq_neg", "sq_eq_zero_iff", "sq_le", "sq_le_one_iff_abs_le_one", "sq_le_sq", "sq_le_two_pow_add_one_minus_three", "sq_lt_one_iff", "sq_lt_one_iff_abs_lt_one", "sq_lt_sq", "sq_lt_sq'", "sq_ne_two_fin_zmod_four", "sq_nonneg", "sq_pos_of_neg", "sq_pos_of_pos", "sq_sub_sq", "sq_sum_le_card_mul_sum_sq", "sqrt_one_add_norm_sq_le", "squarefree_iff_irreducible_sq_not_dvd_of_exists_irreducible", "squarefree_iff_irreducible_sq_not_dvd_of_ne_zero", "squarefree_iff_no_irreducibles", "squarefree_mul_iff", "squarefree_one", "squeeze_one_norm", "squeeze_zero", "squeeze_zero'", "ssubset_irrefl", "ssubset_irrfl", "ssubset_of_eq_of_ssubset", "ssubset_of_ne_of_subset", "ssubset_of_ssubset_of_subset", "ssubset_of_subset_not_subset", "ssubset_of_subset_of_ne", "ssubset_of_subset_of_ssubset", "ssubset_or_eq_of_subset", "ssubset_trans", "starConvex_compl_Iic", "starConvex_iInter", "starConvex_iUnion", "starConvex_iff_div", "starConvex_iff_forall_ne_pos", "starConvex_iff_forall_pos", "starConvex_iff_openSegment_subset", "starConvex_iff_ordConnected", "starConvex_iff_pointwise_add_subset", "starConvex_iff_segment_subset", "starConvex_pi", "starConvex_sInter", "starConvex_sUnion", "starConvex_singleton", "starConvex_univ", "starConvex_zero_iff", "starRingEnd_apply", "starRingEnd_self_apply", "star_comm_self'", "star_div", "star_div'", "star_eq_iff_star_eq", "star_inj", "star_intCast", "star_intCast_smul", "star_inv'", "star_invOf", "star_inv_intCast_smul", "star_isometry", "star_le_iff", "star_le_one_iff", "star_le_star_iff", "star_lt_iff", "star_lt_one_iff", "star_lt_star_iff", "star_mul'", "star_mul_le_algebraMap_norm_sq", "star_mul_self_add_self_mul_star", "star_mul_self_nonneg", "star_mul_self_pos", "star_mul_star", "star_natCast", "star_natCast_smul", "star_ne_zero", "star_neg", "star_nnratCast", "star_nonneg_iff", "star_ofNat", "star_one", "star_pos_iff", "star_pow", "star_prod", "star_ratCast_smul", "star_rat_smul", "star_star", "star_star_mul", "star_sum", "star_zero", "star_zpow", "star_zpow\u2080", "star_zsmul", "star\u2097\u1d62_apply", "star\u2097\u1d62_toContinuousLinearEquiv", "stdSimplex_eq_inter", "stdSimplex_fin_two", "stdSimplex_of_subsingleton", "stdSimplex_subset_closedBall", "stdSimplex_unique", "stereoInvFunAux_apply", "stereoInvFunAux_mem", "stereoInvFun_apply", "stereoInvFun_ne_north_pole", "stereoToFun_apply", "stereo_left_inv", "stereo_right_inv", "stereographic'_source", "stereographic'_symm_apply", "stereographic'_target", "stereographic_neg_apply", "stereographic_source", "stereographic_target", "stoneCechExtend_extends", "stoneCech_hom_ext", "strictAntiOn_Iic_of_succ_lt", "strictAntiOn_comp_ofDual_iff", "strictAntiOn_of_deriv_neg", "strictAntiOn_of_hasDerivWithinAt_neg", "strictAntiOn_toDual_comp_iff", "strictAnti_dual_iff", "strictAnti_iff_forall_covBy", "strictAnti_iff_map_pos", "strictAnti_int_of_succ_lt", "strictAnti_mul_left", "strictAnti_nat_of_succ_lt", "strictAnti_of_deriv_neg", "strictAnti_of_hasDerivAt_neg", "strictAnti_of_le_iff_le", "strictAnti_of_odd_strictAntiOn_nonneg", "strictAnti_smul_left", "strictAnti_vecEmpty", "strictConcaveOn_cos_Icc", "strictConcaveOn_iff_div", "strictConcaveOn_iff_slope_strict_anti_adjacent", "strictConcaveOn_log_Iio", "strictConcaveOn_log_Ioi", "strictConcaveOn_of_slope_strict_anti_adjacent", "strictConcaveOn_sin_Icc", "strictConcaveOn_sqrt_mul_log_Ioi", "strictConcaveOn_univ_of_deriv2_neg", "strictConvexOn_exp", "strictConvexOn_iff_div", "strictConvexOn_iff_slope_strict_mono_adjacent", "strictConvexOn_of_deriv2_pos", "strictConvexOn_of_deriv2_pos'", "strictConvexOn_of_slope_strict_mono_adjacent", "strictConvexOn_pow", "strictConvexOn_rpow", "strictConvexOn_zpow", "strictConvex_Icc", "strictConvex_Iic", "strictConvex_Ioi", "strictConvex_Ioo", "strictConvex_closedBall", "strictConvex_iff_convex", "strictConvex_iff_div", "strictConvex_iff_openSegment_subset", "strictConvex_uIcc", "strictConvex_uIoc", "strictMonoOn_Iic_of_lt_succ", "strictMonoOn_dual_iff", "strictMonoOn_id", "strictMonoOn_mul_self", "strictMonoOn_of_deriv_pos", "strictMonoOn_of_hasDerivWithinAt_pos", "strictMonoOn_toDual_comp_iff", "strictMonoOn_univ", "strictMono_comp_ofDual_iff", "strictMono_div_right_of_pos", "strictMono_dual_iff", "strictMono_id", "strictMono_iff_forall_covBy", "strictMono_iff_map_pos", "strictMono_mersenne", "strictMono_mul_left_of_pos", "strictMono_mul_right_of_pos", "strictMono_nat_of_lt_succ", "strictMono_nhdsSet", "strictMono_of_hasDerivAt_pos", "strictMono_of_odd_strictMonoOn_nonneg", "strictMono_pow_bit1", "strictMono_restrict", "strictMono_vecCons", "strongConcaveOn_iff_convex", "strongConcaveOn_zero", "strongConvexOn_iff_convex", "strongConvexOn_zero", "strongLT_of_le_of_strongLT", "strongLT_of_strongLT_of_le", "strongRankCondition_iff_succ", "stronglyMeasurableAt_bot", "stronglyMeasurable_bot_iff", "stronglyMeasurable_const_smul_iff", "stronglyMeasurable_const_smul_iff\u2080", "stronglyMeasurable_deriv", "stronglyMeasurable_derivWithin_Ici", "stronglyMeasurable_deriv_with_param", "stronglyMeasurable_id", "stronglyMeasurable_iff_measurable_separable", "stronglyMeasurable_lineDeriv", "stronglyMeasurable_lineDeriv_uncurry", "stronglyMeasurable_of_restrict_of_restrict_compl", "stronglyMeasurable_of_stronglyMeasurable_union_cover", "stronglyMeasurable_of_tendsto", "sub_bounded_of_bounded_of_bounded", "sub_div", "sub_div'", "sub_div_sub_smul_slope_add_sub_div_sub_smul_slope", "sub_dvd_pow_sub_pow", "sub_eq_add", "sub_half", "sub_inv_antitoneOn_Icc_left", "sub_inv_antitoneOn_Icc_right", "sub_inv_antitoneOn_Ioi", "sub_lie", "sub_lt_of_abs_sub_lt_left", "sub_mem_pNilradical_iff_pow_expChar_pow_eq", "sub_one_div_inv_le_two", "sub_one_dvd_pow_sub_one", "sub_one_lt", "sub_one_mul", "sub_one_mul_padicValNat_choose_eq_sub_sum_digits'", "sub_one_mul_padicValNat_factorial", "sub_orthogonalProjection_mem_orthogonal", "sub_pow_char", "sub_pow_char_of_commute", "sub_pow_char_pow", "sub_pow_char_pow_of_commute", "sub_pow_expChar", "sub_pow_expChar_of_commute", "sub_pow_expChar_pow", "sub_pow_expChar_pow_of_commute", "sub_self_div_two", "sub_smul", "sub_smul_dslope", "sub_smul_slope", "sub_smul_slope_vadd", "sub_sq", "sub_sq'", "sub_toIcoDiv_zsmul_mem_Ico", "sub_toIocDiv_zsmul_mem_Ioc", "subalgebra_top_finrank_eq_submodule_top_finrank", "subalgebra_top_rank_eq_submodule_top_rank", "subobject_ofLE_as_imageToKernel", "subrelation_iff_le", "subset_Icc_csInf_csSup", "subset_affineSpan", "subset_antisymm", "subset_antisymm_iff", "subset_balancedCore", "subset_closure", "subset_closure_inter_of_isPreirreducible_of_isOpen", "subset_comp_self_of_mem_uniformity", "subset_convexHull", "subset_convexJoin_left", "subset_convexJoin_right", "subset_exterior", "subset_exterior_iff", "subset_generatePiSystem_self", "subset_infClosure", "subset_intentClosure_extentClosure", "subset_intentClosure_iff_subset_extentClosure", "subset_interior_div_left", "subset_interior_div_right", "subset_interior_iff", "subset_interior_iff_isOpen", "subset_interior_iff_mem_nhdsSet", "subset_interior_iff_nhds", "subset_interior_mul_left", "subset_interior_mul_right", "subset_interior_smul_right", "subset_iterate_compRel", "subset_latticeClosure", "subset_lowerBounds_mul", "subset_lowerBounds_upperBounds", "subset_mulTSupport", "subset_mul_closure_one", "subset_of_eq", "subset_of_eq_of_subset", "subset_piiUnionInter", "subset_refl", "subset_rfl", "subset_sInf_def", "subset_sInf_emptyset", "subset_sInf_of_within", "subset_sSup_def", "subset_sSup_emptyset", "subset_sSup_of_within", "subset_seqClosure", "subset_spanPoints", "subset_succChain", "subset_supClosure", "subset_tangentCone_prod_left", "subset_tangentCone_prod_right", "subset_trans", "subset_upperBounds_mul", "subsingleton_floorRing", "subsingleton_floorSemiring", "subsingleton_iff", "subsingleton_iff_bot_eq_top", "subsingleton_of_bot_eq_top", "subsingleton_of_disjoint_isClopen", "subsingleton_of_disjoint_isClosed_iUnion_eq_univ", "subsingleton_of_disjoint_isOpen_iUnion_eq_univ", "subsingleton_of_forall_eq", "subsingleton_of_not_nonempty", "subsingleton_of_top_le_bot", "subsingleton_or_nontrivial", "subtypeOrEquiv_symm_inl", "subtypeOrEquiv_symm_inr", "subtypeOrLeftEmbedding_apply_left", "subtype_inseparable_iff", "subtype_specializes_iff", "subtype_val_mono", "succChain_spec", "succ_dvd_or_succ_dvd_of_succ_sum_dvd_mul", "succ_max", "succ_mersenne", "succ_min", "succ_ne_self", "suffixLevenshtein_cons_cons_fst_get_zero", "suffixLevenshtein_cons\u2081", "suffixLevenshtein_cons\u2081_aux", "suffixLevenshtein_cons\u2081_fst", "suffixLevenshtein_cons\u2082", "suffixLevenshtein_eq_tails_map", "suffixLevenshtein_length", "suffixLevenshtein_minimum_le_levenshtein_append", "suffixLevenshtein_minimum_le_levenshtein_cons", "suffixLevenshtein_nil'", "suffixLevenshtein_nil_nil", "sum_Ico_pow", "sum_Ioc_inv_sq_le_sub", "sum_Ioo_inv_sq_le", "sum_bernoulli", "sum_bernoulli'", "sum_card_orderOf_eq_card_pow_eq_one", "sum_cauchyPowerSeries_eq_integral", "sum_collapse", "sum_conjClasses_card_eq_card", "sum_div_card_sq_le_sum_sq_div_card", "sum_div_nat_floor_pow_sq_le_div_sq", "sum_div_pow_sq_le_div_sq", "sum_embeddings_eq_finrank_mul", "sum_geometric_two_le", "sum_hom_units", "sum_hom_units_eq_zero", "sum_inner", "sum_pow_char", "sum_pow_char_pow", "sum_range_pow", "sum_smul_minpolyDiv_eq_X_pow", "summable_bernoulli_fourier", "summable_condensed_iff_of_nonneg", "summable_dirichletSummand", "summable_div_const_iff", "summable_geometric_iff_norm_lt_one", "summable_geometric_of_abs_lt_one", "summable_geometric_of_lt_one", "summable_geometric_two", "summable_geometric_two'", "summable_geometric_two_encode", "summable_iff_cauchySeq_finset_and_tsum_mem", "summable_iff_not_tendsto_nat_atTop_of_nonneg", "summable_iff_vanishing_norm", "summable_indicator_mod_iff", "summable_indicator_mod_iff_summable", "summable_indicator_mod_iff_summable_indicator_mod", "summable_jacobiTheta\u2082'_term_iff", "summable_jacobiTheta\u2082_term_fderiv_iff", "summable_jacobiTheta\u2082_term_iff", "summable_matrix_blockDiagonal", "summable_matrix_diagonal", "summable_matrix_transpose", "summable_mul_left_iff", "summable_mul_of_summable_norm", "summable_mul_right_iff", "summable_norm_iff", "summable_norm_pow_mul_geometric_of_norm_lt_one", "summable_norm_sum_mul_antidiagonal_of_summable_norm", "summable_of_absolute_convergence_real", "summable_of_isBigO", "summable_of_isBigO'", "summable_of_isBigO_nat", "summable_of_isBigO_nat'", "summable_of_isEquivalent", "summable_of_ratio_norm_eventually_le", "summable_of_ratio_test_tendsto_lt_one", "summable_of_sum_le", "summable_of_sum_range_le", "summable_of_summable_hasDerivAt", "summable_of_summable_hasDerivAt_of_isPreconnected", "summable_of_summable_hasFDerivAt", "summable_of_summable_hasFDerivAt_of_isPreconnected", "summable_one_div_pow_of_le", "summable_op", "summable_partition", "summable_pow_mul_geometric_of_norm_lt_one", "summable_pow_mul_jacobiTheta\u2082_term_bound", "summable_powerSeries_of_norm_lt", "summable_riemannZetaSummand", "summable_schlomilch_iff_of_nonneg", "summable_sigma_of_nonneg", "summable_star_iff", "summable_star_iff'", "summable_sum_mul_antidiagonal_of_summable_mul", "supClosed_empty", "supClosed_iInter", "supClosed_preimage_ofDual", "supClosed_range", "supClosed_sInter", "supClosed_singleton", "supClosure_empty", "supClosure_eq_self", "supClosure_idem", "supClosure_min", "supClosure_singleton", "supClosure_univ", "supIrred_iff_not_isMin", "supIrred_ofDual", "supIrred_toDual", "supPrime_iff_supIrred", "supPrime_toDual", "sup_assoc", "sup_biSup", "sup_bihimp_bihimp", "sup_bot_eq", "sup_comm", "sup_compl_le_himp", "sup_congr_left", "sup_div", "sup_div_inf_eq_mabs_div", "sup_eq_bot_iff", "sup_eq_half_smul_add_add_abs_sub", "sup_eq_half_smul_add_add_abs_sub'", "sup_eq_iSup", "sup_eq_inf", "sup_eq_left", "sup_eq_max", "sup_eq_maxDefault", "sup_eq_mul_oneLePart_div", "sup_eq_prod_inf_factors", "sup_eq_right", "sup_eq_sdiff_sup_sdiff_sup_inf", "sup_eq_sup_iff_left", "sup_eq_sup_iff_right", "sup_eq_top_of_top_mem", "sup_himp_bihimp", "sup_himp_distrib", "sup_himp_self_left", "sup_himp_self_right", "sup_hnot_self", "sup_iInf_eq", "sup_iInf\u2082_eq", "sup_iSup", "sup_iSup_nat_succ", "sup_idem", "sup_ind", "sup_inf_assoc_of_le", "sup_inf_bihimp", "sup_inf_inf_compl", "sup_inf_inf_sdiff", "sup_inf_le", "sup_inf_left", "sup_inf_right", "sup_inf_sdiff", "sup_inf_self", "sup_le", "sup_le_iff", "sup_le_inf", "sup_le_of_le_sdiff_right", "sup_le_sup", "sup_le_sup_left", "sup_le_sup_right", "sup_left_comm", "sup_left_idem", "sup_left_right_swap", "sup_lt_of_lt_sdiff_left", "sup_lt_of_lt_sdiff_right", "sup_lt_sup_of_lt_of_inf_le_inf", "sup_mem_supClosure", "sup_mul", "sup_right_comm", "sup_right_idem", "sup_sInf_eq", "sup_sInf_le_iInf_sup", "sup_sdiff", "sup_sdiff_cancel'", "sup_sdiff_cancel_right", "sup_sdiff_distrib", "sup_sdiff_eq_sup", "sup_sdiff_inf", "sup_sdiff_injOn", "sup_sdiff_left_self", "sup_sdiff_right_self", "sup_sdiff_self", "sup_sdiff_symmDiff", "sup_sq_eq_mul_mul_mabs_div", "sup_strictMonoOn_Icc_inf", "sup_sup_distrib_right", "sup_sup_sup_comm", "support_comp_inv_smul", "support_comp_inv_smul\u2080", "support_deriv_subset", "support_factorization", "support_fderiv_subset", "support_finRotate", "support_finRotate_of_le", "support_iteratedFDeriv_subset", "support_subset_support_matPolyEquiv", "supsSupHom_apply", "surjOn_Icc_of_monotone_surjective", "surjOn_Ici_of_monotone_surjective", "surjOn_Ico_of_monotone_surjective", "surjOn_Iic_of_monotone_surjective", "surjOn_Iio_of_monotone_surjective", "surjOn_Ioc_of_monotone_surjective", "surjOn_Ioi_of_monotone_surjective", "surjOn_Ioo_of_monotone_surjective", "surjOn_expMapCircle_neg_pi_pi", "surjOn_extremePoints_image", "surjective_algebraMap_of_linearMap", "surjective_localRingHom_of_surjective", "surjective_ofLocalizationSpan", "surjective_of_isSwap_of_isPretransitive", "surjective_of_linearIndependent_of_span", "surjective_of_nonzero_of_finrank_eq_one", "surjective_quot_mk", "surjective_quotient_mk", "surjective_quotient_mk'", "swap_comp_bipointedToPointedFst", "swap_comp_bipointedToPointedSnd", "swap_dist", "swap_hammingDist", "swap_idRel", "swap_mem_closure_isSwap", "symm", "symmDiff_assoc", "symmDiff_bot", "symmDiff_comm", "symmDiff_compl_self", "symmDiff_def", "symmDiff_eq'", "symmDiff_eq_Xor'", "symmDiff_eq_bot", "symmDiff_eq_iff_sdiff_eq", "symmDiff_eq_left", "symmDiff_eq_sup", "symmDiff_eq_sup_sdiff_inf", "symmDiff_eq_top", "symmDiff_hnot_self", "symmDiff_le", "symmDiff_le_iff", "symmDiff_le_sup", "symmDiff_left_comm", "symmDiff_left_inj", "symmDiff_left_injective", "symmDiff_left_involutive", "symmDiff_left_surjective", "symmDiff_of_ge", "symmDiff_of_le", "symmDiff_right_comm", "symmDiff_right_injective", "symmDiff_right_surjective", "symmDiff_sdiff", "symmDiff_sdiff_eq_sup", "symmDiff_sdiff_inf", "symmDiff_sdiff_left", "symmDiff_sdiff_right", "symmDiff_self", "symmDiff_snd", "symmDiff_sup_inf", "symmDiff_symmDiff_cancel_left", "symmDiff_symmDiff_cancel_right", "symmDiff_symmDiff_inf", "symmDiff_symmDiff_left", "symmDiff_symmDiff_right", "symmDiff_symmDiff_right'", "symmDiff_symmDiff_self'", "symmDiff_symmDiff_symmDiff_comm", "symmDiff_top", "symmDiff_top'", "symmDiff_triangle", "symm_le_uniformity", "symm_of", "symm_of_uniformity", "symm_trans_mem_contDiffGroupoid", "symmetric_disjoint", "symmetric_symmetrizeRel", "symmetrizeRel_subset_self", "symmetrize_mem_uniformity", "szemeredi_regularity", "t0Space_iff_exists_isOpen_xor'_mem", "t0Space_iff_inseparable", "t0Space_iff_ker_uniformity", "t0Space_iff_not_inseparable", "t0Space_iff_or_not_mem_closure", "t0Space_iff_uniformity", "t0Space_iff_uniformity'", "t1Space_TFAE", "t1Space_iff_continuous_cofinite_of", "t1Space_iff_exists_open", "t1Space_iff_specializes_imp_eq", "t1Space_of_injective_of_continuous", "t2Quotient.compatible", "t2Quotient.continuous_lift", "t2Quotient.inductionOn\u2082", "t2Quotient.mk_eq", "t2Quotient.unique_lift", "t2Space_iff_disjoint_nhds", "t2Space_iff_nhds", "t2_iff_isClosed_diagonal", "t2_iff_nhds", "t2_iff_ultrafilter", "t2_separation", "t2_separation_compact_nhds", "tangentBundleCore_baseSet", "tangentBundleCore_coordChange_model_space", "tangentBundleModelSpaceHomeomorph_coe", "tangentBundleModelSpaceHomeomorph_coe_symm", "tangentBundle_model_space_chartAt", "tangentBundle_model_space_coe_chartAt", "tangentBundle_model_space_coe_chartAt_symm", "tangentConeAt.lim_zero", "tangentCone_inter_nhds", "tangentCone_mono", "tangentCone_mono_nhds", "tangentCone_univ", "tangentCoordChange_comp", "tangentCoordChange_self", "tangentMapWithin_comp_at", "tangentMapWithin_congr", "tangentMapWithin_eq_tangentMap", "tangentMapWithin_id", "tangentMapWithin_prod_fst", "tangentMapWithin_prod_snd", "tangentMapWithin_proj", "tangentMapWithin_subset", "tangentMapWithin_univ", "tangentMap_chart", "tangentMap_chart_symm", "tangentMap_comp", "tangentMap_id", "tangentMap_prod_fst", "taylorWithinEval_self", "taylorWithinEval_succ", "taylorWithin_succ", "taylor_mean_remainder", "taylor_mean_remainder_bound", "taylor_mean_remainder_cauchy", "taylor_mean_remainder_lagrange", "taylor_within_apply", "taylor_within_zero_eval", "tendstoLocallyUniformlyOn_TFAE", "tendstoLocallyUniformlyOn_iUnion", "tendstoLocallyUniformlyOn_iff_filter", "tendstoLocallyUniformlyOn_iff_forall_isCompact", "tendstoLocallyUniformlyOn_iff_forall_tendsto", "tendstoLocallyUniformlyOn_iff_tendstoLocallyUniformly_comp_coe", "tendstoLocallyUniformlyOn_iff_tendstoUniformlyOn_of_compact", "tendstoLocallyUniformlyOn_univ", "tendstoLocallyUniformly_iff_filter", "tendstoLocallyUniformly_iff_forall_isCompact", "tendstoLocallyUniformly_iff_forall_tendsto", "tendstoLocallyUniformly_iff_tendstoUniformly_of_compactSpace", "tendstoUniformlyOnFilter_iff_tendsto", "tendstoUniformlyOn_empty", "tendstoUniformlyOn_iff_seq_tendstoUniformlyOn", "tendstoUniformlyOn_iff_tendsto", "tendstoUniformlyOn_iff_tendstoUniformlyOnFilter", "tendstoUniformlyOn_of_seq_tendstoUniformlyOn", "tendstoUniformlyOn_singleton_iff_tendsto", "tendstoUniformlyOn_tsum", "tendstoUniformlyOn_univ", "tendstoUniformly_iff_tendsto", "tendstoUniformly_iff_tendstoUniformlyOnFilter", "tendstoUniformly_tsum", "tendstoUniformly_tsum_nat", "tendsto_Iio_atTop", "tendsto_Ioi_atBot", "tendsto_Ioo_atBot", "tendsto_Ioo_atTop", "tendsto_add_one_pow_atTop_atTop_of_pos", "tendsto_algebraMap_inverse_atTop_nhds_zero_nat", "tendsto_apply_add_mul_sq_div_sub", "tendsto_atBot_ciInf", "tendsto_atBot_ciSup", "tendsto_atBot_iInf", "tendsto_atBot_iSup", "tendsto_atBot_isGLB", "tendsto_atBot_isLUB", "tendsto_atBot_of_eventually_const", "tendsto_atTop_ciInf", "tendsto_atTop_ciSup", "tendsto_atTop_iInf", "tendsto_atTop_iSup", "tendsto_atTop_isGLB", "tendsto_atTop_isLUB", "tendsto_atTop_nhds", "tendsto_atTop_of_geom_le", "tendsto_birkhoffAverage_apply_sub_birkhoffAverage", "tendsto_ceil_atBot", "tendsto_ceil_atTop", "tendsto_ceil_left", "tendsto_ceil_left'", "tendsto_ceil_left_pure", "tendsto_ceil_left_pure_ceil", "tendsto_ceil_right", "tendsto_ceil_right'", "tendsto_ceil_right_pure_add_one", "tendsto_ceil_right_pure_floor_add_one", "tendsto_cocompact_of_tendsto_dist_comp_atTop", "tendsto_cofinite_cocompact_iff", "tendsto_cofinite_cocompact_of_discrete", "tendsto_comp_coe_Iio_atTop", "tendsto_comp_coe_Ioi_atBot", "tendsto_comp_coe_Ioo_atBot", "tendsto_comp_coe_Ioo_atTop", "tendsto_comp_of_locally_uniform_limit", "tendsto_comp_of_locally_uniform_limit_within", "tendsto_const_div_atTop_nhds_zero_nat", "tendsto_const_mul_pow_nhds_iff", "tendsto_const_mul_pow_nhds_iff'", "tendsto_const_mul_zpow_atTop_nhds_iff", "tendsto_const_mul_zpow_atTop_zero", "tendsto_const_nhds", "tendsto_const_nhdsWithin", "tendsto_const_nhds_iff", "tendsto_const_smul_iff\u2080", "tendsto_const_uniformity", "tendsto_dist_left_cocompact_atTop", "tendsto_div_comap_self", "tendsto_div_of_monotone_of_exists_subseq_tendsto_div", "tendsto_div_of_monotone_of_tendsto_div_floor_pow", "tendsto_exp_div_rpow_atTop", "tendsto_exp_mul_div_rpow_atTop", "tendsto_factorial_div_pow_self_atTop", "tendsto_finset_prod", "tendsto_floor_atTop", "tendsto_floor_left", "tendsto_floor_left'", "tendsto_floor_left_pure_ceil_sub_one", "tendsto_floor_left_pure_sub_one", "tendsto_floor_right'", "tendsto_floor_right_pure", "tendsto_fract_left'", "tendsto_fract_right", "tendsto_gauge_nhds_zero", "tendsto_gauge_nhds_zero'", "tendsto_iff_dist_tendsto_zero", "tendsto_iff_edist_tendsto_0", "tendsto_iff_forall_eval_tendsto_topDualPairing", "tendsto_iff_tendsto_subseq_of_monotone", "tendsto_indicator_const_apply_iff_eventually", "tendsto_indicator_const_apply_iff_eventually'", "tendsto_indicator_const_iff_forall_eventually", "tendsto_indicator_const_iff_forall_eventually'", "tendsto_indicator_const_iff_tendsto_pi_pure", "tendsto_indicator_const_iff_tendsto_pi_pure'", "tendsto_inf_principal_nhds_iff_of_forall_eq", "tendsto_intCast_atBot_iff", "tendsto_integral_comp_smul_smul_of_integrable", "tendsto_integral_comp_smul_smul_of_integrable'", "tendsto_integral_exp_inner_smul_cocompact", "tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_support", "tendsto_integral_exp_smul_cocompact", "tendsto_integral_exp_smul_cocompact_of_inner_product", "tendsto_integral_peak_smul_of_integrable_of_tendsto", "tendsto_inv", "tendsto_inv_atTop_zero", "tendsto_inv_nhdsWithin_Ici", "tendsto_inv_nhdsWithin_Ici_inv", "tendsto_inv_nhdsWithin_Iio", "tendsto_inv_nhdsWithin_Iio_inv", "tendsto_inv_nhdsWithin_Ioi", "tendsto_inv_nhdsWithin_Ioi_inv", "tendsto_inv_zero_atTop", "tendsto_inverse_atTop_nhds_zero_nat", "tendsto_inv\u2080", "tendsto_ite", "tendsto_left_nhds_uniformity", "tendsto_lift'_closure_nhds", "tendsto_list_prod", "tendsto_log_div_rpow_nhds_zero", "tendsto_log_mul_rpow_nhds_zero", "tendsto_log_mul_self_nhds_zero_left", "tendsto_measure_cthickening", "tendsto_measure_cthickening_of_isClosed", "tendsto_measure_cthickening_of_isCompact", "tendsto_measure_thickening", "tendsto_measure_thickening_of_isClosed", "tendsto_mulIndicator_cthickening_mulIndicator_closure", "tendsto_mulIndicator_thickening_mulIndicator_closure", "tendsto_multiset_prod", "tendsto_natCast_atTop_atTop", "tendsto_natCast_atTop_iff", "tendsto_natCast_div_add_atTop", "tendsto_nat_ceil_atTop", "tendsto_nat_ceil_div_atTop", "tendsto_nat_ceil_mul_div_atTop", "tendsto_nat_floor_atTop", "tendsto_nat_floor_div_atTop", "tendsto_nat_floor_mul_div_atTop", "tendsto_nhds", "tendsto_nhdsWithin_congr", "tendsto_nhdsWithin_iff_subtype", "tendsto_nhdsWithin_mono_left", "tendsto_nhdsWithin_mono_right", "tendsto_nhdsWithin_of_tendsto_nhds", "tendsto_nhdsWithin_of_tendsto_nhds_of_eventually_within", "tendsto_nhdsWithin_range", "tendsto_nhds_Prop", "tendsto_nhds_bot_mono", "tendsto_nhds_bot_mono'", "tendsto_nhds_iff_seq_tendsto", "tendsto_nhds_limUnder", "tendsto_nhds_of_unique_mapClusterPt", "tendsto_nhds_top_mono", "tendsto_nhds_top_mono'", "tendsto_nhds_unique", "tendsto_nhds_unique'", "tendsto_nhds_unique_of_frequently_eq", "tendsto_norm'", "tendsto_norm_atTop_iff_cobounded'", "tendsto_norm_cobounded_atTop'", "tendsto_norm_cocompact_atTop'", "tendsto_norm_div_self", "tendsto_norm_div_self_punctured_nhds", "tendsto_norm_nhdsWithin_one", "tendsto_norm_zero'", "tendsto_of_antitone", "tendsto_of_le_liminf_of_limsup_le", "tendsto_of_liminf_eq_limsup", "tendsto_of_monotone", "tendsto_of_no_upcrossings", "tendsto_of_tendsto_of_tendsto_of_le_of_le", "tendsto_of_tendsto_of_tendsto_of_le_of_le'", "tendsto_of_uniformContinuous_subtype", "tendsto_one_div_atTop_nhds_zero_nat", "tendsto_one_iff_norm_tendsto_zero", "tendsto_one_plus_div_rpow_exp", "tendsto_order", "tendsto_order_unbounded", "tendsto_pi_nhds", "tendsto_pow_atTop_atTop_of_one_lt", "tendsto_pow_atTop_nhdsWithin_zero_of_lt_one", "tendsto_pow_atTop_nhds_zero_iff", "tendsto_pow_atTop_nhds_zero_of_abs_lt_one", "tendsto_pow_atTop_nhds_zero_of_lt_one", "tendsto_pow_atTop_nhds_zero_of_norm_lt_one", "tendsto_pow_const_mul_const_pow_of_abs_lt_one", "tendsto_pow_const_mul_const_pow_of_lt_one", "tendsto_pow_div_pow_atTop_atTop", "tendsto_pow_div_pow_atTop_zero", "tendsto_pow_neg_atTop", "tendsto_prod_filter_iff", "tendsto_prod_nat_add", "tendsto_prod_top_iff", "tendsto_pure_nhds", "tendsto_ratCast_atBot_iff", "tendsto_ratCast_atTop_iff", "tendsto_real_toNNReal_atTop", "tendsto_riemannZeta_sub_one_div", "tendsto_right_nhds_uniformity", "tendsto_rpow_abs_mul_exp_neg_mul_sq_cocompact", "tendsto_rpow_atBot_of_base_gt_one", "tendsto_rpow_atBot_of_base_lt_one", "tendsto_rpow_atTop", "tendsto_rpow_atTop_of_base_gt_one", "tendsto_rpow_atTop_of_base_lt_one", "tendsto_rpow_div", "tendsto_rpow_div_mul_add", "tendsto_rpow_mul_exp_neg_mul_atTop_nhds_zero", "tendsto_rpow_neg_atTop", "tendsto_rpow_neg_div", "tendsto_self_mul_const_pow_of_abs_lt_one", "tendsto_self_mul_const_pow_of_lt_one", "tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto", "tendsto_setIntegral_peak_smul_of_integrableOn_of_tendsto_aux", "tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_integrableOn", "tendsto_setIntegral_pow_smul_of_unique_maximum_of_isCompact_of_measure_nhdsWithin_pos", "tendsto_star", "tendsto_subseq_of_bounded", "tendsto_subseq_of_frequently_bounded", "tendsto_subtype_rng", "tendsto_tprod_compl_atTop_one", "tendsto_tsum_of_dominated_convergence", "tendsto_uniformity_iff_dist_tendsto_zero", "tendsto_zero_iff_abs_tendsto_zero", "tendsto_zero_of_norm_tendsto_zero", "tendsto_zpow_atTop_zero", "tensorQuotEquivQuotSMul_comp_mkQ_lTensor", "tfae_of_isNoetherianRing_of_localRing_of_isDomain", "thickenedIndicator.coeFn_eq_comp", "thickenedIndicatorAux_closure_eq", "thickenedIndicatorAux_le_one", "thickenedIndicatorAux_lt_top", "thickenedIndicatorAux_mono", "thickenedIndicatorAux_one", "thickenedIndicatorAux_one_of_mem_closure", "thickenedIndicatorAux_subset", "thickenedIndicatorAux_tendsto_indicator_closure", "thickenedIndicatorAux_zero", "thickenedIndicator_le_one", "thickenedIndicator_mono", "thickenedIndicator_one", "thickenedIndicator_one_of_mem_closure", "thickenedIndicator_subset", "thickenedIndicator_tendsto_indicator_closure", "thickenedIndicator_zero", "thickening_ball", "thickening_closedBall", "thickening_cthickening", "thickening_thickening", "threeAPFree_frontier", "threeAPFree_iff_eq_right", "threeAPFree_sphere", "threeGPFree_empty", "threeGPFree_image", "threeGPFree_insert", "threeGPFree_insert_of_lt", "threeGPFree_pi", "threeGPFree_singleton", "threeGPFree_smul_set", "threeGPFree_smul_set\u2080", "three_add_one_eq_four", "three_dvd_b_of_dvd_a_of_gcd_eq_one_of_case2", "three_ne_zero", "three_ne_zero'", "toAdd_eq_zero", "toAdd_inv", "toAdd_list_sum", "toAdd_multiset_sum", "toAdd_ofAdd", "toAdd_one", "toAdd_pow", "toAdd_prod", "toAdd_vadd", "toAdd_zpow", "toAntisymmetrization_le_toAntisymmetrization_iff", "toAntisymmetrization_lt_toAntisymmetrization_iff", "toAntisymmetrization_ofAntisymmetrization", "toArithmeticFunction_congr", "toBilin'Aux_toMatrixAux", "toBoolAlg_add", "toBoolAlg_inj", "toBoolAlg_mul", "toBoolAlg_ofBoolAlg", "toBoolAlg_one", "toBoolAlg_symm_eq", "toBoolRing_inf", "toBoolRing_symmDiff", "toBoolRing_symm_eq", "toBoolRing_top", "toDual_compares_toDual", "toDual_compl", "toDual_div", "toDual_hnot", "toDual_inf", "toDual_intCast", "toDual_inv", "toDual_min", "toDual_natCast", "toDual_ofNat", "toDual_one", "toDual_pow", "toDual_ratCast", "toDual_sInf", "toDual_sSup", "toDual_sdiff", "toDual_sup", "toDual_symmDiff", "toDual_wcovBy_toDual_iff", "toIcoDiv_add_left", "toIcoDiv_add_left'", "toIcoDiv_add_right", "toIcoDiv_add_zsmul", "toIcoDiv_add_zsmul'", "toIcoDiv_apply_left", "toIcoDiv_apply_right", "toIcoDiv_eq_floor", "toIcoDiv_eq_of_sub_zsmul_mem_Ico", "toIcoDiv_eq_sub", "toIcoDiv_neg", "toIcoDiv_neg'", "toIcoDiv_sub", "toIcoDiv_sub'", "toIcoDiv_sub_eq_toIcoDiv_add", "toIcoDiv_sub_eq_toIcoDiv_add'", "toIcoDiv_sub_zsmul", "toIcoDiv_sub_zsmul'", "toIcoDiv_zero_one", "toIcoDiv_zsmul_add", "toIcoDiv_zsmul_sub_self", "toIcoDiv_zsmul_sub_toIcoMod", "toIcoMod_add_left", "toIcoMod_add_left'", "toIcoMod_add_right", "toIcoMod_add_right'", "toIcoMod_add_right_eq_add", "toIcoMod_add_toIcoDiv_zsmul", "toIcoMod_add_toIocMod_zero", "toIcoMod_add_zsmul", "toIcoMod_add_zsmul'", "toIcoMod_apply_left", "toIcoMod_apply_right", "toIcoMod_eq_add_fract_mul", "toIcoMod_eq_fract_mul", "toIcoMod_eq_iff", "toIcoMod_eq_self", "toIcoMod_eq_sub", "toIcoMod_eq_toIcoMod", "toIcoMod_eventuallyEq_toIocMod", "toIcoMod_inj", "toIcoMod_le_toIocMod", "toIcoMod_lt_right", "toIcoMod_mem_Ico", "toIcoMod_mem_Ico'", "toIcoMod_neg", "toIcoMod_neg'", "toIcoMod_sub", "toIcoMod_sub'", "toIcoMod_sub_eq_sub", "toIcoMod_sub_self", "toIcoMod_sub_zsmul", "toIcoMod_sub_zsmul'", "toIcoMod_toIcoMod", "toIcoMod_toIocMod", "toIcoMod_zero_sub_comm", "toIcoMod_zsmul_add", "toIcoMod_zsmul_add'", "toIntermediateField'_toSubalgebra", "toIntermediateField_toSubalgebra", "toIocDiv_add_left", "toIocDiv_add_left'", "toIocDiv_add_right", "toIocDiv_add_right'", "toIocDiv_add_zsmul", "toIocDiv_add_zsmul'", "toIocDiv_apply_left", "toIocDiv_apply_right", "toIocDiv_eq_neg_floor", "toIocDiv_eq_of_sub_zsmul_mem_Ioc", "toIocDiv_eq_sub", "toIocDiv_neg", "toIocDiv_neg'", "toIocDiv_sub'", "toIocDiv_sub_eq_toIocDiv_add", "toIocDiv_sub_eq_toIocDiv_add'", "toIocDiv_sub_zsmul", "toIocDiv_sub_zsmul'", "toIocDiv_wcovBy_toIcoDiv", "toIocDiv_zsmul_add", "toIocDiv_zsmul_sub_self", "toIocDiv_zsmul_sub_toIocMod", "toIocMod_add_left", "toIocMod_add_left'", "toIocMod_add_right", "toIocMod_add_right'", "toIocMod_add_right_eq_add", "toIocMod_add_toIcoMod_zero", "toIocMod_add_toIocDiv_zsmul", "toIocMod_add_zsmul", "toIocMod_add_zsmul'", "toIocMod_apply_left", "toIocMod_apply_right", "toIocMod_eq_iff", "toIocMod_eq_self", "toIocMod_eq_sub", "toIocMod_eq_sub_fract_mul", "toIocMod_eq_toIocMod", "toIocMod_le_toIcoMod_add", "toIocMod_neg", "toIocMod_neg'", "toIocMod_sub", "toIocMod_sub'", "toIocMod_sub_eq_sub", "toIocMod_sub_self", "toIocMod_sub_zsmul", "toIocMod_sub_zsmul'", "toIocMod_toIcoMod", "toIocMod_toIocMod", "toIocMod_zero_sub_comm", "toIocMod_zsmul_add", "toIocMod_zsmul_add'", "toIxxMod_antisymm", "toIxxMod_cyclic_left", "toIxxMod_iff", "toIxxMod_total", "toIxxMod_total'", "toIxxMod_trans", "toLex_div", "toLex_inj", "toLex_inv", "toLex_mul", "toLex_natCast", "toLex_ofNat", "toLex_one", "toLex_pow", "toLex_ratCast", "toMatrix_distrib_mul_action_toLinearMap", "toMatrix_dualTensorHom", "toMatrix_rotation", "toMul_add", "toMul_list_sum", "toMul_multiset_sum", "toMul_neg", "toMul_nsmul", "toMul_ofMul", "toMul_sub", "toMul_uzpow", "toMul_zero", "toPrincipalIdeal_eq_iff", "toReal_coe_nnnorm'", "toRingHom_injective", "toSubalgebra_toIntermediateField'", "toTopologicalSpace_prod", "toUnits_val_apply", "toWellOrderExtension_strictMono", "toZ_iterate_pred", "toZ_iterate_pred_ge", "toZ_iterate_pred_of_not_isMin", "toZ_iterate_succ", "toZ_iterate_succ_le", "toZ_iterate_succ_of_not_isMax", "toZ_le_iff", "toZ_mono", "toZ_neg", "toZ_nonneg", "toZ_of_eq", "toZ_of_ge", "toZ_of_lt", "topDualPairing_apply", "topToCompHaus_obj", "top_add", "top_disjoint", "top_eq_true", "top_himp", "top_inf_eq", "top_le_iff", "top_le_span_range_iff_forall_exists_fun", "top_mem_upperBounds", "top_sdiff", "top_sdiff'", "top_sup_eq", "top_symmDiff", "top_symmDiff'", "top_uniformity", "top_unique", "topologicalGroup_iInf", "topologicalGroup_inf", "topologicalGroup_is_uniform_of_compactSpace", "topologicalSemiring_of_smooth", "torusIntegral_add", "torusIntegral_const_mul", "torusIntegral_dim0", "torusIntegral_dim1", "torusIntegral_neg", "torusIntegral_radius_zero", "torusIntegral_smul", "torusIntegral_sub", "torusIntegral_succ", "torusIntegral_succAbove", "torusMap_eq_center_iff", "total_of", "totallyBounded_Ico", "totallyBounded_empty", "totallyBounded_iff_filter", "totallyBounded_iff_subset_finite_iUnion_nhds_one", "totallyBounded_iff_ultrafilter", "totallyBounded_of_forall_symm", "totallyBounded_preimage", "totallyBounded_subset", "totallyDisconnectedSpace_iff_connectedComponent_singleton", "totallyDisconnectedSpace_iff_connectedComponent_subsingleton", "totallyDisconnectedSpace_subtype_iff", "totallySeparatedSpace_of_t1_of_basis_clopen", "tprod_apply", "tprod_bool", "tprod_comm", "tprod_comm'", "tprod_congr", "tprod_congr_set_coe", "tprod_congr_subtype", "tprod_const", "tprod_empty", "tprod_eq_finprod", "tprod_eq_mulSingle", "tprod_eq_mul_tprod_ite", "tprod_eq_mul_tprod_ite'", "tprod_eq_one_iff", "tprod_eq_one_of_not_multipliable", "tprod_eq_tprod_of_hasProd_iff_hasProd", "tprod_eq_tprod_of_ne_one_bij", "tprod_eq_zero_mul", "tprod_eq_zero_mul'", "tprod_extend_one", "tprod_finset_bUnion_disjoint", "tprod_fintype", "tprod_iSup_decode\u2082", "tprod_image", "tprod_inv", "tprod_ite_eq", "tprod_le_of_prod_le'", "tprod_le_one", "tprod_le_tprod", "tprod_le_tprod_of_inj", "tprod_lt_tprod", "tprod_mono", "tprod_mul", "tprod_nat_mul_neg", "tprod_nat_mul_neg_add_one", "tprod_ne_one_iff", "tprod_of_nat_of_neg", "tprod_of_nat_of_neg_add_one", "tprod_of_prod", "tprod_one", "tprod_prod", "tprod_range", "tprod_setProd_singleton_left", "tprod_setProd_singleton_right", "tprod_singleton", "tprod_strict_mono", "tprod_subtype", "tprod_subtype_le", "tprod_subtype_mulSupport", "tprod_subtype_mul_tprod_subtype_compl", "tprod_union_disjoint", "tprod_univ", "traceForm_dualBasis_powerBasis_eq", "traceForm_dualSubmodule_adjoin", "traceForm_nondegenerate", "trace_eq_sum_automorphisms", "trace_eq_sum_embeddings", "trace_eq_sum_embeddings_gen", "trace_eq_sum_roots", "trace_eq_trace_adjoin", "trans", "transGen_covBy_of_lt", "transGen_of_pred_of_gt", "transGen_of_pred_of_ne", "transGen_of_pred_of_reflexive", "transGen_of_succ_of_gt", "transGen_of_succ_of_lt", "transGen_of_succ_of_ne", "transGen_of_succ_of_reflexive", "transGen_wcovBy_eq_reflTransGen_covBy", "transGen_wcovBy_of_le", "trans_of", "trans_trichotomous_left", "trans_trichotomous_right", "transcendental_liouvilleNumber", "transitive_ge", "transitive_gt", "transitive_le", "transitive_manyOneReducible", "transitive_oneOneReducible", "transpose_dualTensorHom", "trichotomous", "trichotomous_of", "triple_product_eq_det", "triple_product_permutation", "trivial", "trivial_lie_zero", "trop_iInf", "trop_sInf_image", "trop_sum", "true_and", "true_and_iff", "true_equivalence", "true_iff_iff", "true_imp_iff", "true_implies", "true_or", "true_or_iff", "tsirelson_inequality", "tsub_add_cancel_iff_le", "tsub_add_cancel_of_le", "tsub_add_eq_add_tsub", "tsub_add_eq_max", "tsub_add_eq_tsub_tsub", "tsub_add_eq_tsub_tsub_swap", "tsub_add_min", "tsub_add_tsub_cancel", "tsub_add_tsub_comm", "tsub_div", "tsub_eq_iff_eq_add_of_le", "tsub_eq_of_eq_add", "tsub_eq_tsub_min", "tsub_eq_zero_iff_le", "tsub_inj_right", "tsub_le_iff_left", "tsub_le_iff_right", "tsub_le_iff_tsub_le", "tsub_le_self", "tsub_le_tsub", "tsub_le_tsub_add_tsub", "tsub_le_tsub_iff_left", "tsub_le_tsub_iff_right", "tsub_le_tsub_right", "tsub_left_inj", "tsub_lt_iff_left", "tsub_lt_iff_right", "tsub_lt_iff_tsub_lt", "tsub_lt_of_lt", "tsub_lt_self", "tsub_lt_tsub_iff_left_of_le", "tsub_lt_tsub_right_of_le", "tsub_min", "tsub_mul", "tsub_one_mul", "tsub_pos_iff_lt", "tsub_pos_iff_not_le", "tsub_pos_of_lt", "tsub_right_inj", "tsub_self", "tsub_tsub", "tsub_tsub_assoc", "tsub_tsub_cancel_of_le", "tsub_tsub_eq_add_tsub_of_le", "tsub_tsub_eq_min", "tsub_tsub_le", "tsub_tsub_le_tsub_add", "tsub_tsub_tsub_le_tsub", "tsub_zero", "tsum_coe_mul_geometric_of_norm_lt_one", "tsum_comp_le_tsum_of_inj", "tsum_const_smul'", "tsum_const_smul''", "tsum_dirichletSummand", "tsum_div_const", "tsum_geometric_inv_two_ge", "tsum_geometric_nnreal", "tsum_geometric_of_abs_lt_one", "tsum_geometric_of_lt_one", "tsum_geometric_two", "tsum_lt_tsum_of_nonneg", "tsum_mul_left", "tsum_mul_right", "tsum_mul_tsum", "tsum_mul_tsum_eq_tsum_sum_antidiagonal", "tsum_mul_tsum_eq_tsum_sum_antidiagonal_of_summable_norm", "tsum_mul_tsum_of_summable_norm", "tsum_of_nnnorm_bounded", "tsum_of_norm_bounded", "tsum_op", "tsum_riemannZetaSummand", "tsum_smul_const", "tsum_smul_tsum", "tsum_sq_fourierCoeff", "tsum_star", "tsum_unop", "tsupport_fderiv_subset", "tsupport_iteratedFDeriv_subset", "tsupport_mul_subset_left", "tsupport_mul_subset_right", "tsupport_smul_subset_left", "tsupport_smul_subset_right", "two_add_one_eq_three", "two_dvd_bit0", "two_dvd_bit1", "two_inv_lt_one", "two_mul", "two_mul_card_alternatingGroup", "two_mul_le_add_sq", "two_ne_zero", "two_ne_zero'", "two_nsmul_lie_lmul_lmul_add_add_eq_zero", "two_nsmul_lie_lmul_lmul_add_eq_lie_lmul_lmul_add", "two_smul", "ufm_of_decomposition_of_wfDvdMonoid", "ultrafilterBasis_is_basis", "ultrafilter_comap_pure_nhds", "ultrafilter_converges_iff", "ultrafilter_extend_eq_iff", "ultrafilter_extend_extends", "ultrafilter_isClosed_basic", "ultrafilter_isOpen_basic", "ultrafilter_pure_injective", "unary_relation_sInf_iff", "unary_relation_sSup_iff", "uncountable_iff_forall_not_surjective", "uncountable_iff_isEmpty_embedding", "uniformCauchySeqOnFilter_of_deriv", "uniformCauchySeqOnFilter_of_fderiv", "uniformCauchySeqOn_ball_of_deriv", "uniformCauchySeqOn_ball_of_fderiv", "uniformCauchySeqOn_iff_uniformCauchySeqOnFilter", "uniformConcaveOn_zero", "uniformContinuousOn_iff_restrict", "uniformContinuousOn_univ", "uniformContinuous_comap", "uniformContinuous_def", "uniformContinuous_fst", "uniformContinuous_iInf_dom", "uniformContinuous_iInf_rng", "uniformContinuous_id", "uniformContinuous_iff", "uniformContinuous_iff_eventually", "uniformContinuous_inf_dom_left\u2082", "uniformContinuous_inf_dom_right\u2082", "uniformContinuous_inl", "uniformContinuous_inr", "uniformContinuous_inv", "uniformContinuous_monoidHom_of_continuous", "uniformContinuous_mul", "uniformContinuous_nnnorm'", "uniformContinuous_norm'", "uniformContinuous_ofMul", "uniformContinuous_of_const", "uniformContinuous_of_tendsto_one", "uniformContinuous_pi", "uniformContinuous_pow_const", "uniformContinuous_sInf_dom", "uniformContinuous_sInf_dom\u2082", "uniformContinuous_sInf_rng", "uniformContinuous_snd", "uniformContinuous_subtype_val", "uniformContinuous_toAdd", "uniformContinuous_toMul", "uniformContinuous_uniformly_extend", "uniformContinuous_vadd", "uniformContinuous_vsub", "uniformContinuous\u2082_curry", "uniformConvexOn_zero", "uniformEmbedding_iff'", "uniformEmbedding_iff_uniformInducing", "uniformEmbedding_inl", "uniformEmbedding_inr", "uniformEmbedding_of_spaced_out", "uniformEmbedding_set_inclusion", "uniformEmbedding_subtype_val", "uniformEmbedding_translate_mul", "uniformEquicontinuousOn_empty", "uniformEquicontinuousOn_finite", "uniformEquicontinuousOn_iInf_dom", "uniformEquicontinuousOn_iInf_rng", "uniformEquicontinuousOn_iff_range", "uniformEquicontinuousOn_iff_uniformContinuousOn", "uniformEquicontinuousOn_unique", "uniformEquicontinuousOn_univ", "uniformEquicontinuous_birkhoffAverage", "uniformEquicontinuous_empty", "uniformEquicontinuous_finite", "uniformEquicontinuous_iInf_dom", "uniformEquicontinuous_iInf_rng", "uniformEquicontinuous_iff_range", "uniformEquicontinuous_iff_uniformContinuous", "uniformEquicontinuous_of_equicontinuousAt_one", "uniformEquicontinuous_restrict_iff", "uniformGroup_sInf", "uniformInducing_id", "uniformInducing_iff'", "uniformInducing_iff_uniformSpace", "uniformInducing_of_compose", "uniformSpace_comap_id", "uniformSpace_edist", "uniform_extend_subtype", "uniformity_additive", "uniformity_basis_edist", "uniformity_basis_edist'", "uniformity_basis_edist_inv_nat", "uniformity_basis_edist_le", "uniformity_basis_edist_le'", "uniformity_basis_edist_nnreal", "uniformity_basis_edist_nnreal_le", "uniformity_comap", "uniformity_dist_of_mem_uniformity", "uniformity_edist", "uniformity_eq_comap_inv_mul_nhds_one", "uniformity_eq_comap_inv_mul_nhds_one_swapped", "uniformity_eq_comap_nhds_one", "uniformity_eq_comap_nhds_one'", "uniformity_eq_comap_nhds_one_swapped", "uniformity_eq_symm", "uniformity_eq_uniformity_closure", "uniformity_eq_uniformity_interior", "uniformity_hasBasis_closed", "uniformity_hasBasis_closure", "uniformity_hasBasis_open_symmetric", "uniformity_le_symm", "uniformity_mulOpposite", "uniformity_multiplicative", "uniformity_prod", "uniformity_prod_eq_comap_prod", "uniformity_prod_eq_prod", "uniformity_pseudoedist", "uniformity_translate_mul", "uniformly_extend_exists", "uniformly_extend_of_ind", "uniformly_extend_spec", "union_mem_uniformity_sum", "union_support_maximal_linearIndependent_eq_range_basis", "union_upperBounds_subset_upperBounds_inter", "uniq_inv_of_isField", "unique'", "uniqueDiffOn_Icc", "uniqueDiffOn_Icc_zero_one", "uniqueDiffOn_Ici", "uniqueDiffOn_Ico", "uniqueDiffOn_Iic", "uniqueDiffOn_Iio", "uniqueDiffOn_Ioc", "uniqueDiffOn_Ioo", "uniqueDiffOn_convex", "uniqueDiffOn_empty", "uniqueDiffOn_extChartAt_target", "uniqueDiffOn_univ", "uniqueDiffWithinAt_Iio", "uniqueDiffWithinAt_Ioi", "uniqueDiffWithinAt_Ioo", "uniqueDiffWithinAt_convex", "uniqueDiffWithinAt_extChartAt_target", "uniqueDiffWithinAt_inter", "uniqueDiffWithinAt_of_mem_nhds", "uniqueDiffWithinAt_univ", "uniqueElim_const", "uniqueElim_default", "uniqueMDiffOn_iff_uniqueDiffOn", "uniqueMDiffOn_univ", "uniqueMDiffWithinAt_iff", "uniqueMDiffWithinAt_iff_uniqueDiffWithinAt", "uniqueMDiffWithinAt_univ", "uniqueMul_of_twoUniqueMul", "unique_iff_subsingleton_and_nonempty", "unique_topology_of_t2", "unique_uniformity_of_compact", "unique_unit_speed", "unique_unit_speed_on_Icc_zero", "unitInterval.coe_ne_zero", "unitInterval.coe_symm_eq", "unitInterval.continuous_symm", "unitInterval.div_mem", "unitInterval.fract_mem", "unitInterval.half_le_symm_iff", "unitInterval.le_one", "unitInterval.mul_le_left", "unitInterval.mul_le_right", "unitInterval.mul_mem", "unitInterval.mul_pos_mem_iff", "unitInterval.nonneg", "unitInterval.nonneg'", "unitInterval.one_mem", "unitInterval.qRight_one_left", "unitInterval.qRight_zero_left", "unitInterval.qRight_zero_right", "unitInterval.strictAnti_symm", "unitInterval.symm_involutive", "unitInterval.symm_one", "unitInterval.symm_symm", "unitInterval.symm_zero", "unitInterval.two_mul_sub_one_mem_iff", "unitInterval.univ_eq_Icc", "unitInterval.volume_def", "unitInterval.zero_mem", "unitSphereToUnits_injective", "unitary.coe_div", "unitary.coe_inv", "unitary.coe_neg", "unitary.coe_star_mul_self", "unitary.coe_zpow", "unitary.linearIsometryEquiv_coe_apply", "unitary.linearIsometryEquiv_coe_symm_apply", "unitary.map_mem", "unitary.mem_iff", "unitary.mem_iff_self_mul_star", "unitary.norm_map", "unitary.spectrum.unitary_conjugate", "unitary.spectrum.unitary_conjugate'", "unitary.spectrum_subset_circle", "unitary.star_eq_inv", "unitary.star_mem", "unitary.star_mul_self", "unitary.star_mul_self_of_mem", "unitary.toUnits_comp_map", "unitary_iff_isStarNormal_and_spectrum_subset_circle", "units_eq_one", "units_inv_smul", "units_ne_neg_self", "units_smul_eq_neg_iff", "units_smul_eq_self_iff", "univLE_iff_cardinal_le", "univLE_total", "univ_eq_singleton_of_card_one", "unop_map_list_prod", "unop_nonZeroSMulDivisors_mulOpposite_eq_nonZeroDivisors", "untrop_prod", "untrop_sum", "untrop_sum_eq_sInf_image", "update_le_iff", "update_le_self_iff", "update_le_update_iff", "update_le_update_iff'", "update_lt_self_iff", "upperBounds_Iic", "upperBounds_Iio", "upperBounds_Ioc", "upperBounds_Ioo", "upperBounds_empty", "upperBounds_insert", "upperBounds_mono_mem", "upperBounds_range_partialSups", "upperBounds_singleton", "upperBounds_smul_of_neg", "upperBounds_smul_of_pos", "upperBounds_supClosure", "upperBounds_union", "upperCentralSeries.map", "upperCentralSeriesStep_eq_comap_center", "upperCentralSeries_eq_top_iff_nilpotencyClass_le", "upperCentralSeries_isAscendingCentralSeries", "upperCentralSeries_mono", "upperCentralSeries_nilpotencyClass", "upperCentralSeries_one", "upperClosure_anti", "upperClosure_empty", "upperClosure_eq_top_iff", "upperClosure_iUnion", "upperClosure_image", "upperClosure_interior_subset'", "upperClosure_min", "upperClosure_mul", "upperClosure_mul_distrib", "upperClosure_one", "upperClosure_prod", "upperClosure_sUnion", "upperClosure_smul", "upperClosure_sups", "upperClosure_union", "upperSemicontinuousAt_biInf", "upperSemicontinuousAt_ciInf", "upperSemicontinuousAt_iff_limsup_le", "upperSemicontinuousAt_sum", "upperSemicontinuousOn_biInf", "upperSemicontinuousOn_ciInf", "upperSemicontinuousOn_const", "upperSemicontinuousOn_iInf", "upperSemicontinuousOn_iff_limsup_le", "upperSemicontinuousOn_univ_iff", "upperSemicontinuousWithinAt_biInf", "upperSemicontinuousWithinAt_const", "upperSemicontinuousWithinAt_iInf", "upperSemicontinuousWithinAt_univ_iff", "upperSemicontinuous_biInf", "upperSemicontinuous_iInf", "upperSemicontinuous_iff_IsClosed_hypograph", "upperSemicontinuous_iff_isClosed_preimage", "upperSemicontinuous_iff_limsup_le", "uzpow_add", "uzpow_intCast", "uzpow_natCast", "uzpow_neg", "uzpow_sub", "uzpow_zero", "vadd_eq_vadd_iff_neg_add_eq_vsub", "vadd_left_mem_affineSpan_pair", "vadd_mem_spanPoints_of_mem_spanPoints_of_mem_vectorSpan", "vadd_openSegment", "vadd_right_cancel", "vadd_right_injective", "vadd_right_mem_affineSpan_pair", "vadd_segment", "vadd_vsub", "vadd_vsub_assoc", "vadd_vsub_eq_sub_vsub", "vadd_vsub_vadd_cancel_left", "vadd_vsub_vadd_cancel_right", "val_div_eq_divp", "variationOnFromTo.add", "variationOnFromTo.antitoneOn", "variationOnFromTo.comp_eq_of_monotoneOn", "variationOnFromTo.edist_zero_of_eq_zero", "variationOnFromTo.eq_left_iff", "variationOnFromTo.eq_neg_swap", "variationOnFromTo.eq_of_ge", "variationOnFromTo.eq_of_le", "variationOnFromTo.eq_zero_iff", "variationOnFromTo.eq_zero_iff_of_ge", "variationOnFromTo.eq_zero_iff_of_le", "variationOnFromTo.monotoneOn", "variationOnFromTo.nonneg_of_le", "variationOnFromTo.nonpos_of_ge", "variationOnFromTo.self", "variationOnFromTo.sub_self_monotoneOn", "vectorAllP_cons", "vectorAllP_iff_forall", "vectorAllP_nil", "vectorAll_iff_forall", "vectorEx_iff_exists", "vectorSpan_def", "vectorSpan_empty", "vectorSpan_eq_span_vsub_finset_right_ne", "vectorSpan_eq_span_vsub_set_left", "vectorSpan_eq_span_vsub_set_left_ne", "vectorSpan_eq_span_vsub_set_right", "vectorSpan_eq_span_vsub_set_right_ne", "vectorSpan_image_eq_span_vsub_set_left_ne", "vectorSpan_image_eq_span_vsub_set_right_ne", "vectorSpan_insert_eq_vectorSpan", "vectorSpan_mono", "vectorSpan_pair", "vectorSpan_pair_rev", "vectorSpan_range_eq_span_range_vsub_left", "vectorSpan_range_eq_span_range_vsub_left_ne", "vectorSpan_range_eq_span_range_vsub_right", "vectorSpan_range_eq_span_range_vsub_right_ne", "vectorSpan_singleton", "vieta_formula_quadratic", "volume_euclideanSpace_eq_dirac", "volume_iUnion_setOf_liouvilleWith", "volume_preimage_coe", "volume_regionBetween_eq_integral", "volume_regionBetween_eq_integral'", "volume_regionBetween_eq_lintegral", "volume_regionBetween_eq_lintegral'", "volume_setOf_liouville", "vsub_add_vsub_cancel", "vsub_eq_sub", "vsub_eq_zero_iff_eq", "vsub_left_cancel", "vsub_left_cancel_iff", "vsub_left_injective", "vsub_mem_vectorSpan", "vsub_mem_vectorSpan_of_mem_spanPoints_of_mem_spanPoints", "vsub_midpoint", "vsub_ne_zero", "vsub_rev_mem_vectorSpan_pair", "vsub_right_cancel", "vsub_right_injective", "vsub_self", "vsub_set_subset_vectorSpan", "vsub_sub_vsub_cancel_left", "vsub_sub_vsub_cancel_right", "vsub_sub_vsub_comm", "vsub_vadd", "vsub_vadd_comm", "vsub_vadd_eq_vsub_sub", "wbtw_comm", "wbtw_const_vsub_iff", "wbtw_iff_left_eq_or_right_mem_image_Ici", "wbtw_iff_sameRay_vsub", "wbtw_lineMap_iff", "wbtw_midpoint", "wbtw_or_wbtw_smul_vadd_of_nonneg", "wbtw_or_wbtw_smul_vadd_of_nonpos", "wbtw_pointReflection", "wbtw_rotate_iff", "wbtw_self_left", "wbtw_self_right", "wbtw_smul_vadd_smul_vadd_of_nonneg_of_le", "wbtw_smul_vadd_smul_vadd_of_nonneg_of_nonpos", "wbtw_smul_vadd_smul_vadd_of_nonpos_of_le", "wbtw_smul_vadd_smul_vadd_of_nonpos_of_nonneg", "wbtw_swap_left_iff", "wbtw_swap_right_iff", "wbtw_vadd_const_iff", "wbtw_vsub_const_iff", "wbtw_zero_one_iff", "wcovBy_congr_right", "wcovBy_eq_reflGen_covBy", "wcovBy_iff_Ioo_eq", "wcovBy_iff_covBy_or_eq", "wcovBy_iff_covBy_or_le_and_le", "wcovBy_iff_le_and_eq_or_eq", "wcovBy_of_eq_or_eq", "weightedVSub_mem_vectorSpan", "weightedVSub_mem_vectorSpan_pair", "wellFoundedGT_dual_iff", "wellFoundedLT_dual_iff", "wellFoundedOn_devosMulRel", "wellFounded_antisymmetrization_iff", "wellFounded_gt_exact_sequence", "wellFounded_iff_wellFounded_subrel", "wellFounded_liftOn\u2082'_iff", "wellFounded_lift\u2082_iff", "wellFounded_lt", "wellFounded_lt_exact_sequence", "wellFounded_of_isEmpty", "wellFounded_submodule_gt", "wellOrderSucc_le", "withSeminorms_iInf", "with_gaugeSeminormFamily", "wittPolynomial_eq_sum_C_mul_X_pow", "wittPolynomial_one", "wittPolynomial_vars", "wittPolynomial_vars_subset", "wittPolynomial_zero", "wittPolynomial_zmod_self", "wittStructureInt_prop", "wittStructureInt_rename", "wittStructureInt_vars", "wittStructureRat_existsUnique", "wittStructureRat_prop", "wittStructureRat_rec", "wittStructureRat_rec_aux", "wittStructureRat_vars", "witt_structure_prop", "writtenInExtChartAt_chartAt_comp", "writtenInExtChartAt_chartAt_symm_comp", "writtenInExtChartAt_comp", "writtenInExtChartAt_extChartAt_symm", "writtenInExtChartAt_model_space", "xInTermsOfW_aux", "xInTermsOfW_eq", "xInTermsOfW_vars_aux", "xInTermsOfW_zero", "xor_comm", "xor_false", "xor_iff_iff_not", "xor_iff_not_iff", "xor_iff_not_iff'", "xor_not_not", "xor_not_right", "xor_self", "xor_true", "zero_at_infty_of_norm_le", "zero_cpow_eq_nhds", "zero_div", "zero_dvd_iff", "zero_eq_bit0", "zero_eq_dist", "zero_eq_edist", "zero_eq_inv", "zero_eq_mul", "zero_eq_nndist", "zero_geom_sum", "zero_isRadical_iff", "zero_le'", "zero_le_four", "zero_le_one", "zero_le_one'", "zero_le_padicValRat_of_nat", "zero_le_three", "zero_le_two", "zero_lie", "zero_lt_four", "zero_lt_four'", "zero_lt_iff", "zero_lt_one", "zero_lt_one'", "zero_lt_three", "zero_lt_three'", "zero_lt_two", "zero_lt_two'", "zero_mem_nonunits", "zero_mem_preCantorSet", "zero_mem\u2113p", "zero_ne_one", "zero_ne_one'", "zero_pow", "zero_pow_eq", "zero_pow_eq_zero", "zero_pow_le_one", "zero_prodMap_dualTensorHom", "zero_smul", "zero_tsub", "zero_zpow", "zero_zpow_eq", "zeta_eq_tsum_one_div_nat_add_one_cpow", "zeta_eq_tsum_one_div_nat_cpow", "zeta_nat_eq_tsum_of_gt_one", "zmultiplesAddHom_apply", "zmultiplesAddHom_symm_apply", "zmultiplesHom_apply", "zmultiplesHom_ker_eq", "zorn_nonempty_Ici\u2080", "zorn_nonempty_partialOrder\u2080", "zorn_nonempty_preorder", "zorn_nonempty_preorder\u2080", "zorn_partialOrder", "zorn_partialOrder\u2080", "zorn_preorder", "zorn_preorder\u2080", "zorn_subset_nonempty", "zpow_abs_eq_one", "zpow_add", "zpow_add'", "zpow_add_one", "zpow_add_one\u2080", "zpow_add\u2080", "zpow_eq_one_iff_modEq", "zpow_eq_pow", "zpow_eq_zpow_emod", "zpow_eq_zpow_iff_modEq", "zpow_induction_left", "zpow_induction_right", "zpow_injective", "zpow_le_iff_le", "zpow_le_max_iff_min_le", "zpow_le_of_le", "zpow_le_one_of_nonpos", "zpow_le_zpow_iff", "zpow_left_inj", "zpow_left_injective", "zpow_lt_zpow'", "zpow_lt_zpow_iff", "zpow_lt_zpow_iff'", "zpow_mem", "zpow_mod_card", "zpow_mod_natCard", "zpow_mod_orderOf", "zpow_mono_left", "zpow_mono_right", "zpow_mul", "zpow_mul'", "zpow_mul_comm", "zpow_natCast", "zpow_ne_zero", "zpow_neg", "zpow_negSucc", "zpow_neg_mul_zpow_self", "zpow_neg_one", "zpow_nonneg", "zpow_ofNat", "zpow_one", "zpow_one_add", "zpow_one_add\u2080", "zpow_pos_of_pos", "zpow_pow_orderOf", "zpow_right_strictMono", "zpow_strictAnti", "zpow_strictMono", "zpow_strictMono_left", "zpow_sub", "zpow_sub_one", "zpow_sub_one\u2080", "zpow_sub\u2080", "zpow_two", "zpow_zero", "zpowersEquivZPowers_apply", "zpowersHom_apply", "zpowersHom_ker_eq", "zpowersHom_symm_apply", "zpowers_eq_top_of_prime_card", "zsmul_def", "zsmul_eq_mul", "zsmul_eq_mul'", "zsmul_eq_smul_cast", "zsmul_lie", "zsmul_one", "\u03b5NFA.accept_one", "\u03b5NFA.accept_zero", "\u03b5NFA.evalFrom_append_singleton", "\u03b5NFA.evalFrom_empty", "\u03b5NFA.evalFrom_nil", "\u03b5NFA.eval_append_singleton", "\u03b5NFA.eval_nil", "\u03b5NFA.mem_stepSet_iff", "\u03b5NFA.pumping_lemma", "\u03b5NFA.start_one", "\u03b5NFA.start_zero", "\u03b5NFA.stepSet_empty", "\u03b5NFA.step_one", "\u03b5NFA.step_zero", "\u03b5NFA.subset_\u03b5Closure", "\u03b5NFA.toNFA_correct", "\u03b5NFA.\u03b5Closure_empty", "\u03b5NFA.\u03b5Closure_univ", "\u03c0_tensor_id_preserves_coequalizer_inv_colimMap_desc", "\u03c0_tensor_id_preserves_coequalizer_inv_desc", "\u03c9CPO.coe_of"]