| { |
| "n_items": 720, |
| "n_judged": 720, |
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| "n": 120, |
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| "rate": 0.0 |
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| "n": 120, |
| "yes": 3, |
| "rate": 0.025 |
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| "groups": [ |
| { |
| "gid": "control/duality_ceil_floor", |
| "source": "positive_control", |
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| [ |
| "ceiling replaced by floor", |
| 8 |
| ], |
| [ |
| "ceiling division replaced by floor division", |
| 1 |
| ], |
| [ |
| "ceilroot replaced by floorroot", |
| 1 |
| ], |
| [ |
| "ceil replaced with floor throughout", |
| 1 |
| ] |
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| "examples": [ |
| [ |
| "Int.ceil_add_int", |
| "Int.floor_add_int", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "Int.ceil_sub_ofNat", |
| "Int.floor_sub_ofNat", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "Nat.ceil_add_nat", |
| "Nat.floor_add_nat", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "ceilDiv_zero", |
| "floorDiv_zero", |
| "ceiling division replaced by floor division" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "control/duality_sup_inf", |
| "source": "positive_control", |
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| "n_judged": 12, |
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| "rate": 1.0, |
| "lift_over_namespace_decoys": 0.975, |
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| [ |
| "sup replaced by inf", |
| 3 |
| ], |
| [ |
| "sup replaced by inf with corresponding notation changes", |
| 1 |
| ], |
| [ |
| "sup replaced by inf with union replaced by intersection", |
| 1 |
| ], |
| [ |
| "sup replaced by inf with type classes swapped", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Finset.image_sup_product", |
| "Finset.image_inf_product", |
| "sup replaced by inf with corresponding notation changes" |
| ], |
| [ |
| "Filter.HasBasis.sup", |
| "Filter.HasBasis.inf", |
| "sup replaced by inf with union replaced by intersection" |
| ], |
| [ |
| "ContinuousAt.sup", |
| "ContinuousAt.inf", |
| "sup replaced by inf" |
| ], |
| [ |
| "GaloisInsertion.l_sup_u", |
| "GaloisInsertion.l_inf_u", |
| "sup replaced by inf" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "vocab/e5_mistral/k80/c38", |
| "source": "vocab_diversity", |
| "space": "e5_mistral", |
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| "p_value": 1.3037785298202383e-14, |
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| [ |
| "ici replaced by ioi", |
| 3 |
| ], |
| [ |
| "iic replaced by iio", |
| 1 |
| ], |
| [ |
| "ico replaced by ioo", |
| 1 |
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| [ |
| "icc/ici replaced by ioo/ioi", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Fin.isAddFreimanIso_Iic", |
| "Fin.isAddFreimanIso_Iio", |
| "Iic replaced by Iio" |
| ], |
| [ |
| "ENNReal.iInter_Ici_coe_nat", |
| "ENNReal.iInter_Ioi_coe_nat", |
| "Ici replaced by Ioi" |
| ], |
| [ |
| "Finset.Icc_subset_Ico_iff", |
| "Finset.Icc_subset_Ioo_iff", |
| "Ico replaced by Ioo" |
| ], |
| [ |
| "ENNReal.iUnion_Icc_coe_nat", |
| "ENNReal.iUnion_Ioo_coe_nat", |
| "Icc/Ici replaced by Ioo/Ioi" |
| ] |
| ], |
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| "graph_lift": 0.17582420552979217, |
| "dominance": 0.3548387096774194, |
| "distinct_swaps": 16 |
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| { |
| "gid": "vocab/e5_mistral/k80/c10", |
| "source": "vocab_diversity", |
| "space": "e5_mistral", |
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| "p_value": 1.3037785298202383e-14, |
| "mean_confidence": 0.875, |
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| [ |
| "subalgebra replaced by subring", |
| 3 |
| ], |
| [ |
| "same distributive property for different algebraic structures", |
| 1 |
| ], |
| [ |
| "alghom replaced by ringhom (analogous homomorphism types)", |
| 1 |
| ], |
| [ |
| "subalgebra replaced by subsemiring (analogous structures)", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Algebra.map_sup", |
| "Subring.map_sup", |
| "same distributive property for different algebraic structures" |
| ], |
| [ |
| "AlgEquiv.toAlgHom_unop", |
| "AlgHom.toRingHom_unop", |
| "AlgHom replaced by RingHom (analogous homomorphism types)" |
| ], |
| [ |
| "Algebra.comap_top", |
| "Subsemiring.comap_top", |
| "Subalgebra replaced by Subsemiring (analogous structures)" |
| ], |
| [ |
| "GradedAlgebra.mem_support_iff", |
| "GradedRing.mem_support_iff", |
| "GradedAlgebra.proj replaced by GradedRing.proj" |
| ] |
| ], |
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| } |
| }, |
| { |
| "gid": "hunt/e5_mistral/k200/c57", |
| "source": "relation_hunt", |
| "space": "e5_mistral", |
| "n_judged": 12, |
| "n_related": 11, |
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| "lift_over_namespace_decoys": 0.8916666666666666, |
| "p_value": 1.2333744892099455e-12, |
| "mean_confidence": 0.9125, |
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| [ |
| "ceiling replaced by floor", |
| 6 |
| ], |
| [ |
| "ceiling replaced with floor", |
| 3 |
| ], |
| [ |
| "ceiling replaced by floor and inequality swapped", |
| 1 |
| ], |
| [ |
| "ceiling division replaced with floor division", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Nat.ceilRoot_def", |
| "Nat.floorRoot_def", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "le_smul_ceilDiv", |
| "smul_floorDiv_le", |
| "ceiling replaced by floor and inequality swapped" |
| ], |
| [ |
| "Nat.ceil_le_ceil", |
| "Nat.floor_le_floor", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "Nat.measurable_ceil", |
| "Nat.measurable_floor", |
| "ceiling replaced by floor" |
| ] |
| ], |
| "stats": { |
| "n": 55, |
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| "distinct@1": 0.9272727272727272 |
| } |
| }, |
| { |
| "gid": "control/min_to_max", |
| "source": "positive_control", |
| "space": "-", |
| "n_judged": 12, |
| "n_related": 11, |
| "rate": 0.9166666666666666, |
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| [ |
| "min replaced by max", |
| 8 |
| ], |
| [ |
| "< replaced by > with min replaced by max", |
| 1 |
| ], |
| [ |
| "min replaced by max, or replaced by and", |
| 1 |
| ], |
| [ |
| "min replaced with max", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Filter.tendsto_nhds_min_right", |
| "Filter.tendsto_nhds_max_right", |
| "< replaced by > with min replaced by max" |
| ], |
| [ |
| "LocallyLipschitz.const_min", |
| "LocallyLipschitz.const_max", |
| "min replaced by max" |
| ], |
| [ |
| "Fin.min_val", |
| "Fin.max_val", |
| "min replaced by max" |
| ], |
| [ |
| "abs_min_sub_min_le_max", |
| "abs_max_sub_max_le_max", |
| "min replaced by max" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "control/duality_max_min", |
| "source": "positive_control", |
| "space": "-", |
| "n_judged": 12, |
| "n_related": 11, |
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| "p_value": 1.2333744892099455e-12, |
| "mean_confidence": 0.9166666666666666, |
| "top_relations": [ |
| [ |
| "max replaced by min", |
| 8 |
| ], |
| [ |
| "max replaced by min with order reversal", |
| 1 |
| ], |
| [ |
| "max replaced by min, or/exists replaced by and/forall", |
| 1 |
| ], |
| [ |
| "max and min replaced with each other", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "ofDual_max", |
| "ofDual_min", |
| "max replaced by min with order reversal" |
| ], |
| [ |
| "WithBot.coe_max", |
| "WithBot.coe_min", |
| "max replaced by min" |
| ], |
| [ |
| "Monotone.map_finset_max'", |
| "Monotone.map_finset_min'", |
| "max replaced by min" |
| ], |
| [ |
| "Finset.lt_fold_max", |
| "Finset.lt_fold_min", |
| "max replaced by min, or/exists replaced by and/forall" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "hunt/e5_mistral/k200/c82", |
| "source": "relation_hunt", |
| "space": "e5_mistral", |
| "n_judged": 12, |
| "n_related": 11, |
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| "lift_over_namespace_decoys": 0.8916666666666666, |
| "p_value": 1.2333744892099455e-12, |
| "mean_confidence": 0.9041666666666667, |
| "top_relations": [ |
| [ |
| "ici replaced by iic", |
| 2 |
| ], |
| [ |
| "ici replaced by iic (order direction reversed)", |
| 2 |
| ], |
| [ |
| "ici replaced by iic and ioi replaced by iio", |
| 1 |
| ], |
| [ |
| "ici/ioi replaced by iic/iio", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "nhdsSet_Ici", |
| "nhdsSet_Iic", |
| "Ici replaced by Iic and Ioi replaced by Iio" |
| ], |
| [ |
| "borel_eq_generateFrom_Ici", |
| "borel_eq_generateFrom_Iic", |
| "Ici replaced by Iic" |
| ], |
| [ |
| "Set.Ici_diff_Ioi_same", |
| "Set.Iic_diff_Iio_same", |
| "Ici/Ioi replaced by Iic/Iio" |
| ], |
| [ |
| "Set.preimage_const_sub_Ici", |
| "Set.preimage_const_sub_Iic", |
| "Ici replaced by Iic (order direction reversed)" |
| ] |
| ], |
| "stats": { |
| "n": 100, |
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| "graph_lift": 0.2492977869886681, |
| "transfer_lift": 0.18000000000000005, |
| "distinct@1": 0.93 |
| } |
| }, |
| { |
| "gid": "nonlex/e5_mistral/r10k200/c140", |
| "source": "nonlexical_fast", |
| "space": "e5_mistral", |
| "n_judged": 12, |
| "n_related": 11, |
| "rate": 0.9166666666666666, |
| "lift_over_namespace_decoys": 0.8916666666666666, |
| "p_value": 1.2333744892099455e-12, |
| "mean_confidence": 0.8833333333333333, |
| "top_relations": [ |
| [ |
| "ceiling replaced by floor", |
| 7 |
| ], |
| [ |
| "int replaced by nat with ceil replaced by floor", |
| 1 |
| ], |
| [ |
| "ceiling vs floor, position in inequality reversed", |
| 1 |
| ], |
| [ |
| "ceiling replaced by round", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Int.ceil_int", |
| "Nat.floor_nat", |
| "int replaced by nat with ceil replaced by floor" |
| ], |
| [ |
| "Int.ceil_sub_int", |
| "Int.floor_sub_nat", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "Int.ceil_one", |
| "Nat.floor_one", |
| "ceiling replaced by floor" |
| ], |
| [ |
| "Int.ceil_sub_ofNat", |
| "Nat.floor_sub_nat", |
| "ceiling replaced by floor" |
| ] |
| ], |
| "stats": { |
| "n": 52, |
| "coherence": 0.49916520714759827, |
| "graph_lift": 0.08794924205185403, |
| "median_lex": 0.18198555707931519, |
| "distinct_swaps": 23 |
| } |
| }, |
| { |
| "gid": "hunt/e5_large_stmt/k80/c44", |
| "source": "relation_hunt", |
| "space": "e5_large_stmt", |
| "n_judged": 12, |
| "n_related": 11, |
| "rate": 0.9166666666666666, |
| "lift_over_namespace_decoys": 0.8916666666666666, |
| "p_value": 1.2333744892099455e-12, |
| "mean_confidence": 0.85, |
| "top_relations": [ |
| [ |
| "ici replaced by iic", |
| 4 |
| ], |
| [ |
| "order direction \u2265 reversed to \u2264, intervals swapped", |
| 1 |
| ], |
| [ |
| "neighborhood direction \u2265 replaced by \u2264", |
| 1 |
| ], |
| [ |
| "ici replaced by iic (direction reversed)", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "EReal.preimage_coe_Ici", |
| "EReal.preimage_coe_Iic", |
| "Ici replaced by Iic" |
| ], |
| [ |
| "nhdsWithin_Ici_eq'", |
| "nhdsWithin_Iic_eq'", |
| "order direction \u2265 reversed to \u2264, intervals swapped" |
| ], |
| [ |
| "Set.compl_section_ordSeparatingSet_mem_nhdsWithin_Ici", |
| "Set.compl_section_ordSeparatingSet_mem_nhdsWithin_Iic", |
| "neighborhood direction \u2265 replaced by \u2264" |
| ], |
| [ |
| "Set.range_IciExtend", |
| "Set.range_IicExtend", |
| "Ici replaced by Iic (direction reversed)" |
| ] |
| ], |
| "stats": { |
| "n": 186, |
| "coherence": 0.4930684268474579, |
| "graph_lift": 0.16954756489927064, |
| "transfer_lift": 0.4916666666666667, |
| "distinct@1": 0.8083333333333333 |
| } |
| }, |
| { |
| "gid": "control/duality_upper_lower", |
| "source": "positive_control", |
| "space": "-", |
| "n_judged": 12, |
| "n_related": 10, |
| "rate": 0.8333333333333334, |
| "lift_over_namespace_decoys": 0.8083333333333333, |
| "p_value": 5.780469740626146e-11, |
| "mean_confidence": 0.9, |
| "top_relations": [ |
| [ |
| "upper replaced by lower with ici replaced by iic", |
| 1 |
| ], |
| [ |
| "uppersemicontinuous replaced by lowersemicontinuous", |
| 1 |
| ], |
| [ |
| "lowerbounds replaced by upperbounds in second argument", |
| 1 |
| ], |
| [ |
| "upperclosure and isupperset swapped for lowerclosure and islowerset", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "upperBounds_insert", |
| "lowerBounds_insert", |
| "upper replaced by lower with Ici replaced by Iic" |
| ], |
| [ |
| "Continuous.comp_upperSemicontinuousOn_antitone", |
| "Continuous.comp_lowerSemicontinuousOn_antitone", |
| "UpperSemicontinuous replaced by LowerSemicontinuous" |
| ], |
| [ |
| "image2_upperBounds_lowerBounds_subset_lowerBounds_image2", |
| "image2_lowerBounds_lowerBounds_subset_lowerBounds_image2", |
| "lowerBounds replaced by upperBounds in second argument" |
| ], |
| [ |
| "upperClosure_min", |
| "lowerClosure_min", |
| "upperClosure and IsUpperSet swapped for lowerClosure and IsLowerSet" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "vocab/e5_large/k200/c90", |
| "source": "vocab_diversity", |
| "space": "e5_large", |
| "n_judged": 12, |
| "n_related": 10, |
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| "lift_over_namespace_decoys": 0.8083333333333333, |
| "p_value": 5.780469740626146e-11, |
| "mean_confidence": 0.875, |
| "top_relations": [ |
| [ |
| "addsubgroup replaced by addsubmonoid", |
| 2 |
| ], |
| [ |
| "int replaced by nat", |
| 1 |
| ], |
| [ |
| "scaling direction and sides swapped", |
| 1 |
| ], |
| [ |
| "base ring \u2124 replaced by \u2115", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "AddConstMapClass.map_add_int'", |
| "AddConstMapClass.map_add_nat'", |
| "int replaced by nat" |
| ], |
| [ |
| "AddSubgroup.pointwise_smul_le_iff\u2080", |
| "AddSubmonoid.le_pointwise_smul_iff\u2080", |
| "scaling direction and sides swapped" |
| ], |
| [ |
| "ArithmeticFunction.intCoe_apply", |
| "ArithmeticFunction.natCoe_apply", |
| "base ring \u2124 replaced by \u2115" |
| ], |
| [ |
| "AddSubgroup.smul_mem_pointwise_smul", |
| "AddSubmonoid.smul_mem_pointwise_smul", |
| "AddSubgroup replaced by AddSubmonoid" |
| ] |
| ], |
| "stats": { |
| "n": 49, |
| "coherence": 0.5644168853759766, |
| "graph_lift": null, |
| "dominance": 0.3541666666666667, |
| "distinct_swaps": 12 |
| } |
| }, |
| { |
| "gid": "hunt/e5_large/k200/c99", |
| "source": "relation_hunt", |
| "space": "e5_large", |
| "n_judged": 12, |
| "n_related": 10, |
| "rate": 0.8333333333333334, |
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| "p_value": 5.780469740626146e-11, |
| "mean_confidence": 0.8708333333333332, |
| "top_relations": [ |
| [ |
| "nonunitalsubsemiring replaced by subsemigroup", |
| 2 |
| ], |
| [ |
| "parameter name r replaced by m", |
| 1 |
| ], |
| [ |
| "subfield replaced by subsemigroup", |
| 1 |
| ], |
| [ |
| "nonunitalsubsemiring replaced by submonoid (analogous structures)", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "NonUnitalSubsemiring.centralizer_eq_top_iff_subset", |
| "Subsemigroup.centralizer_eq_top_iff_subset", |
| "parameter name R replaced by M" |
| ], |
| [ |
| "Subfield.coe_iSup_of_directed", |
| "Subsemigroup.coe_iSup_of_directed", |
| "Subfield replaced by Subsemigroup" |
| ], |
| [ |
| "NonUnitalSubsemiring.mem_sSup_of_directedOn", |
| "Submonoid.mem_sSup_of_directedOn", |
| "NonUnitalSubsemiring replaced by Submonoid (analogous structures)" |
| ], |
| [ |
| "NonUnitalSubsemiring.centralizer_eq_top_iff_subset", |
| "Submonoid.centralizer_eq_top_iff_subset", |
| "equivalent statements" |
| ] |
| ], |
| "stats": { |
| "n": 222, |
| "coherence": 0.4575135409832001, |
| "graph_lift": 0.25494000813336914, |
| "transfer_lift": 0.4083333333333333, |
| "distinct@1": 0.5166666666666667 |
| } |
| }, |
| { |
| "gid": "hunt/e5_large_stmt/k200/c104", |
| "source": "relation_hunt", |
| "space": "e5_large_stmt", |
| "n_judged": 12, |
| "n_related": 9, |
| "rate": 0.75, |
| "lift_over_namespace_decoys": 0.725, |
| "p_value": 1.7839553197470642e-09, |
| "mean_confidence": 0.8666666666666667, |
| "top_relations": [ |
| [ |
| "icc replaced by ioc", |
| 3 |
| ], |
| [ |
| "interval types changed", |
| 2 |
| ], |
| [ |
| "interval types substituted: icc\u2194ioc, ici\u2194ioi", |
| 1 |
| ], |
| [ |
| "ico/icc replaced by ioo/ioc (order direction swap)", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Finset.Icc_subset_Ici_self", |
| "Finset.Ioc_subset_Ioi_self", |
| "interval types substituted: Icc\u2194Ioc, Ici\u2194Ioi" |
| ], |
| [ |
| "integrableOn_Icc_iff_integrableOn_Ioo", |
| "integrableOn_Ioc_iff_integrableOn_Ioo'", |
| "Icc replaced by Ioc" |
| ], |
| [ |
| "Set.Icc_inter_Icc", |
| "Set.Ioc_inter_Ioc", |
| "Icc replaced by Ioc" |
| ], |
| [ |
| "Finset.Ico_insert_right", |
| "Finset.Ioo_insert_right", |
| "Ico/Icc replaced by Ioo/Ioc (order direction swap)" |
| ] |
| ], |
| "stats": { |
| "n": 121, |
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| "gid": "hunt/e5_mistral/k200/c133", |
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| [ |
| "icc replaced by iic", |
| 5 |
| ], |
| [ |
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| 1 |
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| [ |
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| 1 |
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| [ |
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| 1 |
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| [ |
| "Set.range_projIcc", |
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| ], |
| [ |
| "Set.preimage_sub_const_Icc", |
| "Set.preimage_sub_const_Iic", |
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| [ |
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| "Set.IicExtend_of_mem", |
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| [ |
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| "WithBot.preimage_coe_Iic", |
| "Icc replaced by Iic" |
| ] |
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| { |
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| [ |
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| 3 |
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| [ |
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| 2 |
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| [ |
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| 2 |
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| [ |
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| 1 |
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| [ |
| "Complex.contDiff_cos", |
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| "cos replaced by cosh" |
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| [ |
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| "Complex.ofReal_cosh", |
| "cos replaced by cosh" |
| ], |
| [ |
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| "Complex.cosh_neg", |
| "cos replaced by cosh" |
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| [ |
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| { |
| "gid": "vocab/e5_large/k200/c160", |
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| [ |
| "cos replaced by cosh", |
| 5 |
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| [ |
| "sin replaced by sinh, cos replaced by cosh", |
| 2 |
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| [ |
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| 1 |
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| "examples": [ |
| [ |
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| [ |
| "Complex.cos_sq'", |
| "Complex.sinh_sq", |
| "sin replaced by sinh, cos replaced by cosh" |
| ], |
| [ |
| "Complex.hasDerivAt_cos", |
| "Complex.hasDerivAt_cosh", |
| "cos replaced by cosh, sin replaced by sinh" |
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| [ |
| "Complex.cos_conj", |
| "Complex.cosh_conj", |
| "cos replaced by cosh" |
| ] |
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| { |
| "gid": "vocab/e5_large/k200/c106", |
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| [ |
| "order reversed: parameters and conditions swapped", |
| 2 |
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| [ |
| "comparison direction reversed: r < f x becomes f x < r", |
| 1 |
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| [ |
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| [ |
| "inequality direction swapped (r \u2264 f x \u2194 f x \u2264 r)", |
| 1 |
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| [ |
| "Finset.uIcc_of_ge", |
| "Set.uIcc_of_le", |
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| ], |
| [ |
| "Finset.uIcc_of_ge", |
| "Finset.uIcc_of_le", |
| "order reversed: parameters and conditions swapped" |
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| [ |
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| "MonotoneOn.convex_lt", |
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| ], |
| [ |
| "List.Sorted.gt_of_ge", |
| "List.Sorted.lt_of_le", |
| "order relations reversed (\u2265\u2194\u2264, >\u2194<)" |
| ] |
| ], |
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| { |
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| [ |
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| 4 |
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| [ |
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| 3 |
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| [ |
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| 1 |
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| [ |
| "Filter.limsInf_top", |
| "Filter.limsInf_bot", |
| "top replaced by bot" |
| ], |
| [ |
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| "Subsemiring.op_bot", |
| "top replaced by bottom" |
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| [ |
| "Subgroup.relindex_top_right", |
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| [ |
| "eq_top_mono", |
| "eq_bot_mono", |
| "top replaced by bottom" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "nonlex/e5_mistral/r10k80/c63", |
| "source": "nonlexical_fast", |
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| [ |
| "ceiling replaced by floor", |
| 2 |
| ], |
| [ |
| "ceiling division replaced by floor division", |
| 1 |
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| [ |
| "bddabove replaced by bddbelow with inequality swap", |
| 1 |
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| [ |
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| 1 |
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| "examples": [ |
| [ |
| "Finsupp.ceilDiv_apply", |
| "Pi.floorDiv_def", |
| "ceiling division replaced by floor division" |
| ], |
| [ |
| "BddAbove.smul_of_nonneg", |
| "bddBelow_smul_iff_of_pos", |
| "BddAbove replaced by BddBelow with inequality swap" |
| ], |
| [ |
| "ENNReal.mul_iSup", |
| "NNReal.iInf_mul", |
| "sup replaced by inf, left multiplication order adjusted" |
| ], |
| [ |
| "Int.ceil_one", |
| "Nat.floor_one", |
| "ceiling replaced by floor" |
| ] |
| ], |
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| { |
| "gid": "control/le_to_lt", |
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| [ |
| "\u2264 replaced by <", |
| 4 |
| ], |
| [ |
| "\u2264 replaced with <", |
| 2 |
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| [ |
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| 1 |
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| [ |
| "Cardinal.toPartENat_le_natCast_iff", |
| "Cardinal.toPartENat_lt_natCast_iff", |
| "\u2264 replaced by <" |
| ], |
| [ |
| "Set.finite_le_nat", |
| "Set.finite_lt_nat", |
| "\u2264 replaced by <" |
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| [ |
| "sup_le_of_le_sdiff_right", |
| "sup_lt_of_lt_sdiff_right", |
| "\u2264 replaced by < (weak to strict inequality)" |
| ], |
| [ |
| "PrimeSpectrum.asIdeal_le_asIdeal", |
| "PrimeSpectrum.asIdeal_lt_asIdeal", |
| "\u2264 replaced by <" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "vocab/e5_mistral/k200/c189", |
| "source": "vocab_diversity", |
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| [ |
| "column replaced by row", |
| 1 |
| ], |
| [ |
| "row sums replaced by column sums", |
| 1 |
| ], |
| [ |
| "row/column indices swapped", |
| 1 |
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| [ |
| "col replaced by row", |
| 1 |
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| ], |
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| [ |
| "Matrix.det_updateColumn_add", |
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| "column replaced by row" |
| ], |
| [ |
| "Matrix.det_ne_zero_of_sum_col_pos", |
| "Matrix.det_ne_zero_of_sum_row_pos", |
| "row sums replaced by column sums" |
| ], |
| [ |
| "Matrix.SpecialLinearGroup.isCoprime_col", |
| "Matrix.SpecialLinearGroup.isCoprime_row", |
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| ], |
| [ |
| "Matrix.col_inj", |
| "Matrix.row_inj", |
| "col replaced by row" |
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| { |
| "gid": "hunt/e5_large_stmt/k200/c55", |
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| "p_value": 7.24177990769373e-07, |
| "mean_confidence": 0.8791666666666668, |
| "top_relations": [ |
| [ |
| "iic replaced by iio", |
| 2 |
| ], |
| [ |
| "iic replaced by ioi", |
| 1 |
| ], |
| [ |
| "iic replaced by ioi and ici replaced by iio", |
| 1 |
| ], |
| [ |
| "iic replaced by ioi with inequality direction reversed", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Set.preimage_add_const_Iic", |
| "Set.preimage_add_const_Ioi", |
| "Iic replaced by Ioi" |
| ], |
| [ |
| "Set.preimage_neg_Iic", |
| "Set.preimage_neg_Ioi", |
| "Iic replaced by Ioi and Ici replaced by Iio" |
| ], |
| [ |
| "pi_Iic_mem_nhds", |
| "pi_Ioi_mem_nhds", |
| "Iic replaced by Ioi with inequality direction reversed" |
| ], |
| [ |
| "isLowerSet_iff_Iic_subset", |
| "isLowerSet_iff_Iio_subset", |
| "Iic replaced by Iio" |
| ] |
| ], |
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| { |
| "gid": "control/add_to_mul", |
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| [ |
| "addition replaced by multiplication", |
| 6 |
| ], |
| [ |
| "addition replaced by multiplication in second component", |
| 1 |
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| ], |
| "examples": [ |
| [ |
| "Polynomial.map_add", |
| "Polynomial.map_mul", |
| "addition replaced by multiplication" |
| ], |
| [ |
| "Rat.add_num_den'", |
| "Rat.mul_num_den'", |
| "addition replaced by multiplication" |
| ], |
| [ |
| "PerfectClosure.add_aux_left", |
| "PerfectClosure.mul_aux_left", |
| "addition replaced by multiplication in second component" |
| ], |
| [ |
| "Cardinal.continuum_add_self", |
| "Cardinal.continuum_mul_self", |
| "addition replaced by multiplication" |
| ] |
| ], |
| "stats": {} |
| }, |
| { |
| "gid": "hunt/e5_large_stmt/k200/c133", |
| "source": "relation_hunt", |
| "space": "e5_large_stmt", |
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| "top_relations": [ |
| [ |
| "icc replaced by ico", |
| 1 |
| ], |
| [ |
| "interval boundaries adjusted (ico\u2192ioi, icc\u2192ici)", |
| 1 |
| ], |
| [ |
| "icc replaced by uicc (unordered interval)", |
| 1 |
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| [ |
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| 1 |
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| "examples": [ |
| [ |
| "Set.iUnion_Icc_right", |
| "Set.iUnion_Ico_right", |
| "Icc replaced by Ico" |
| ], |
| [ |
| "Finset.mul_prod_Ico_eq_prod_Icc", |
| "Finset.mul_prod_Ioi_eq_prod_Ici", |
| "interval boundaries adjusted (Ico\u2192Ioi, Icc\u2192Ici)" |
| ], |
| [ |
| "Set.image_update_Icc_right", |
| "Set.image_update_uIcc_right", |
| "Icc replaced by uIcc (unordered interval)" |
| ], |
| [ |
| "Finset.coe_Icc", |
| "Finset.coe_Ioo", |
| "Icc replaced by Ioo (norm_cast with different interval)" |
| ] |
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| }, |
| { |
| "gid": "hunt/e5_large/k200/c35", |
| "source": "relation_hunt", |
| "space": "e5_large", |
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| "n_related": 6, |
| "rate": 0.5, |
| "lift_over_namespace_decoys": 0.475, |
| "p_value": 1.0453453358531073e-05, |
| "mean_confidence": 0.8375, |
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| [ |
| "ioc replaced by ioo", |
| 4 |
| ], |
| [ |
| "ioc replaced by ioo (same as 229 with different attributes)", |
| 1 |
| ], |
| [ |
| "succ replaced by pred, ioc replaced by ioo", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "csInf_Ioc", |
| "csInf_Ioo", |
| "Ioc replaced by Ioo" |
| ], |
| [ |
| "Set.Ioc_subset_Ioc_left", |
| "Set.Ioo_subset_Ioo_left", |
| "Ioc replaced by Ioo" |
| ], |
| [ |
| "Finset.Ioc_subset_Ioc_left", |
| "Set.Ioo_subset_Ioo_left", |
| "Ioc replaced by Ioo (same as 229 with different attributes)" |
| ], |
| [ |
| "Order.Ioc_succ_right", |
| "Order.Ioo_pred_right_eq_insert", |
| "succ replaced by pred, Ioc replaced by Ioo" |
| ] |
| ], |
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| "coherence": 0.5747559666633606, |
| "graph_lift": 0.20782685236056878, |
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| "distinct@1": 0.6333333333333333 |
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| { |
| "gid": "hunt/deepseek_prover/k200/c8", |
| "source": "relation_hunt", |
| "space": "deepseek_prover", |
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| "p_value": 1.0453453358531073e-05, |
| "mean_confidence": 0.8583333333333334, |
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| [ |
| "pure replaced by singleton set", |
| 1 |
| ], |
| [ |
| "hom replaced by inv", |
| 1 |
| ], |
| [ |
| "pair notation unified", |
| 1 |
| ], |
| [ |
| "bottom replaced by top", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "Filter.isUnit_iff_singleton", |
| "Finset.isUnit_iff_singleton", |
| "pure replaced by singleton set" |
| ], |
| [ |
| "CategoryTheory.Bicategory.unitors_equal", |
| "CategoryTheory.MonoidalCategory.unitors_inv_equal", |
| "hom replaced by inv" |
| ], |
| [ |
| "LinearPMap.mem_graph_iff", |
| "LinearPMap.mem_graph_iff'", |
| "pair notation unified" |
| ], |
| [ |
| "IntermediateField.finInsepDegree_bot'", |
| "IntermediateField.finInsepDegree_top", |
| "bottom replaced by top" |
| ] |
| ], |
| "stats": { |
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| "coherence": 0.5222575068473816, |
| "graph_lift": 0.046789214483922856, |
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| }, |
| { |
| "gid": "hunt/deepseek_prover/k200/c58", |
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| "space": "deepseek_prover", |
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| "p_value": 1.0453453358531073e-05, |
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| [ |
| "isclosed replaced by iscompact", |
| 1 |
| ], |
| [ |
| "\u2205 replaced by univ, \u2203 replaced by \u2200", |
| 1 |
| ], |
| [ |
| "empty set \u2194 universal set, bottom \u2194 top", |
| 1 |
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| [ |
| "unique replaced by subsingleton", |
| 1 |
| ] |
| ], |
| "examples": [ |
| [ |
| "isClosed_set_pi", |
| "isCompact_univ_pi", |
| "IsClosed replaced by IsCompact" |
| ], |
| [ |
| "Set.mem_dite_empty_right", |
| "Set.mem_dite_univ_left", |
| "\u2205 replaced by univ, \u2203 replaced by \u2200" |
| ], |
| [ |
| "Sublattice.coe_eq_empty", |
| "Sublattice.coe_eq_univ", |
| "empty set \u2194 universal set, bottom \u2194 top" |
| ], |
| [ |
| "Finset.nonempty_iff_eq_singleton_default", |
| "Set.Nonempty.eq_univ", |
| "Unique replaced by Subsingleton" |
| ] |
| ], |
| "stats": { |
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| "graph_lift": 0.042662292206166574, |
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| { |
| "gid": "hunt/e5_large/k200/c159", |
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| [ |
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| [ |
| "LieSubmodule.span_empty", |
| "Submodule.span_univ", |
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| [ |
| "TopologicalSpace.Closeds.coe_eq_empty", |
| "TopologicalSpace.Opens.coe_eq_univ", |
| "Closeds/\u2205/\u22a5 duality with Opens/univ/\u22a4" |
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| [ |
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| "empty set replaced by zero" |
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| [ |
| "Finset.piecewise_empty", |
| "Set.piecewise_univ", |
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| [ |
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| 1 |
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| [ |
| "fork replaced by pullbackcone", |
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| [ |
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| 1 |
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| [ |
| "CategoryTheory.Limits.pullback_diagonal_map_snd_fst_fst", |
| "CategoryTheory.Limits.pullback_diagonal_map_snd_snd_fst", |
| "i\u2081 replaced by i\u2082" |
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| [ |
| "CategoryTheory.Limits.biproduct.lift_\u03c0", |
| "HomologicalComplex.biprod_lift_snd_f", |
| "biproduct replaced by biprod" |
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| [ |
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| [ |
| "CategoryTheory.Limits.BinaryFan.isLimit_iff_isIso_fst", |
| "CategoryTheory.Limits.BinaryFan.isLimit_iff_isIso_snd", |
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| "gid": "hunt/e5_large/k200/c174", |
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| "Set.preimage_subtype_val_Iic", |
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| [ |
| "AntitoneOn.Iic", |
| "MonotoneOn.Ioi", |
| "MonotoneOn replaced by AntitoneOn in hypothesis" |
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| [ |
| "MeasureTheory.integral_Iic_of_hasDerivAt_of_tendsto'", |
| "MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendsto", |
| "interval direction reversed" |
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| { |
| "gid": "vocab/e5_large/k200/c5", |
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| [ |
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| 1 |
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| "Complex.tanh_conj", |
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| [ |
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| "cos replaced by tan" |
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| [ |
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| [ |
| "Complex.cos_conj", |
| "Complex.tan_conj", |
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| "gid": "hunt/deepseek_prover/k80/c31", |
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| [ |
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| [ |
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| [ |
| "Filter.BoundedAtFilter.neg", |
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| "boundedness preserved under negation" |
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| [ |
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| "BddBelow.range_mono", |
| "BddAbove replaced by BddBelow" |
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| "CommMonoid.primaryComponent.disjoint", |
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| "CategoryTheory.Arrow.hom_inv_id_left", |
| "CategoryTheory.Functor.leftDerivedZeroIsoSelf_hom_inv_id", |
| "composition equaling identity (same structure, different objects)" |
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| "gid": "nonlex/e5_large/r10k200/c83", |
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