url stringclasses 1
value | commit stringclasses 1
value | file_path stringlengths 21 79 | full_name stringlengths 3 121 | start listlengths 2 2 | end listlengths 2 2 | traced_tactics listlengths 1 128 |
|---|---|---|---|---|---|---|
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/RingTheory/IntegralRestrict.lean | Algebra.intTrace_eq_trace | [
216,
1
] | [
223,
81
] | [
{
"tactic": "ext x",
"annotated_tactic": [
"ext x",
[]
],
"state_before": "A : Type u_1\nK : Type u_2\nL : Type u_3\nB : Type u_4\ninst✝³⁰ : CommRing A\ninst✝²⁹ : CommRing B\ninst✝²⁸ : Algebra A B\ninst✝²⁷ : Field K\ninst✝²⁶ : Field L\ninst✝²⁵ : Algebra A K\ninst✝²⁴ : IsFractionRing A K\... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/NumberTheory/ModularForms/EisensteinSeries/Basic.lean | EisensteinSeries.vecMul_SL2_mem_gammaSet | [
61,
1
] | [
68,
7
] | [
{
"tactic": "refine ⟨?_, hv.2.vecMulSL γ⟩",
"annotated_tactic": [
"refine ⟨?_, hv.2.<a>vecMulSL</a> γ⟩",
[
{
"full_name": "IsCoprime.vecMulSL",
"def_path": "Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean",
"def_pos": [
464,
7
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Matrix/Block.lean | Matrix.toBlocks₂₂_diagonal | [
310,
1
] | [
315,
61
] | [
{
"tactic": "unfold toBlocks₂₂",
"annotated_tactic": [
"unfold <a>toBlocks₂₂</a>",
[
{
"full_name": "Matrix.toBlocks₂₂",
"def_path": "Mathlib/Data/Matrix/Block.lean",
"def_pos": [
93,
5
],
"def_end_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/AlgebraicTopology/DoldKan/EquivalencePseudoabelian.lean | CategoryTheory.Idempotents.DoldKan.hη | [
110,
1
] | [
116,
55
] | [
{
"tactic": "ext K : 3",
"annotated_tactic": [
"ext K : 3",
[]
],
"state_before": "C : Type u_1\ninst✝³ : Category.{u_2, u_1} C\ninst✝² : Preadditive C\ninst✝¹ : IsIdempotentComplete C\ninst✝ : HasFiniteCoproducts C\n⊢ Compatibility.τ₀ = Compatibility.τ₁ isoN₁ isoΓ₀ N₁Γ₀",
"state_aft... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/RingTheory/IntegralRestrict.lean | Algebra.algebraMap_intTrace_fractionRing | [
203,
1
] | [
212,
34
] | [
{
"tactic": "haveI : IsIntegralClosure B A (FractionRing B) :=\n IsIntegralClosure.of_isIntegrallyClosed _ _ _",
"annotated_tactic": [
"haveI : <a>IsIntegralClosure</a> B A (<a>FractionRing</a> B) :=\n <a>IsIntegralClosure.of_isIntegrallyClosed</a> _ _ _",
[
{
"full_name": ... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Analysis/Normed/Group/AddTorsor.lean | edist_vsub_vsub_le | [
197,
1
] | [
201,
26
] | [
{
"tactic": "simp only [edist_nndist]",
"annotated_tactic": [
"simp only [<a>edist_nndist</a>]",
[
{
"full_name": "edist_nndist",
"def_path": "Mathlib/Topology/MetricSpace/Pseudo/Defs.lean",
"def_pos": [
306,
9
],
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Nat/Defs.lean | Nat.mul_add_mod' | [
1329,
1
] | [
1329,
98
] | [
{
"tactic": "rw [Nat.mul_comm, Nat.mul_add_mod]",
"annotated_tactic": [
"rw [<a>Nat.mul_comm</a>, <a>Nat.mul_add_mod</a>]",
[
{
"full_name": "Nat.mul_comm",
"def_path": ".lake/packages/lean4/src/lean/Init/Data/Nat/Basic.lean",
"def_pos": [
217,
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Topology/Bases.lean | TopologicalSpace.isTopologicalBasis_of_subbasis | [
108,
1
] | [
119,
70
] | [
{
"tactic": "subst t",
"annotated_tactic": [
"subst t",
[]
],
"state_before": "α : Type u\nβ : Type u_1\nt : TopologicalSpace α\nB : Set (Set α)\ns✝ : Set α\ns : Set (Set α)\nhs : t = generateFrom s\n⊢ IsTopologicalBasis ((fun f => ⋂₀ f) '' {f | f.Finite ∧ f ⊆ s})",
"state_after": "α... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean | MeasureTheory.OuterMeasure.restrict_biInf | [
472,
1
] | [
476,
26
] | [
{
"tactic": "haveI := hI.to_subtype",
"annotated_tactic": [
"haveI := hI.to_subtype",
[]
],
"state_before": "α : Type u_1\nι : Type u_2\nI : Set ι\nhI : I.Nonempty\ns : Set α\nm : ι → OuterMeasure α\n⊢ (restrict s) (⨅ i ∈ I, m i) = ⨅ i ∈ I, (restrict s) (m i)",
"state_after": "α : Ty... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Finset/Basic.lean | Finset.disjoint_insert_right | [
1341,
1
] | [
1342,
76
] | [
{
"tactic": "rw [disjoint_insert_left, _root_.disjoint_comm]",
"annotated_tactic": [
"rw [<a>disjoint_insert_left</a>, <a>_root_.disjoint_comm</a>]",
[
{
"full_name": "Finset.disjoint_insert_left",
"def_path": "Mathlib/Data/Finset/Basic.lean",
"def_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/RingTheory/Noetherian.lean | isNoetherian_of_fg_of_noetherian | [
576,
1
] | [
608,
53
] | [
{
"tactic": "let ⟨s, hs⟩ := hN",
"annotated_tactic": [
"let ⟨s, hs⟩ := hN",
[]
],
"state_before": "R : Type u_1\nM : Type u_2\ninst✝² : Ring R\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\nN : Submodule R M\nI : IsNoetherianRing R\nhN : N.FG\n⊢ IsNoetherian R ↥N",
"state_after": "R :... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.dual_rotateL | [
336,
1
] | [
339,
54
] | [
{
"tactic": "cases r <;> simp [rotateL, rotateR, dual_node']",
"annotated_tactic": [
"cases r <;> simp [<a>rotateL</a>, <a>rotateR</a>, <a>dual_node'</a>]",
[
{
"full_name": "Ordnode.rotateL",
"def_path": "Mathlib/Data/Ordmap/Ordset.lean",
"def_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.ofLe_eq_comap_incl | [
626,
1
] | [
629,
6
] | [
{
"tactic": "ext",
"annotated_tactic": [
"ext",
[]
],
"state_before": "R : Type u\nL : Type v\ninst✝⁴ : CommRing R\ninst✝³ : LieRing L\ninst✝² : LieAlgebra R L\nL₂ : Type w\ninst✝¹ : LieRing L₂\ninst✝ : LieAlgebra R L₂\nf : L →ₗ⁅R⁆ L₂\nK K' : LieSubalgebra R L\nK₂ : LieSubalgebra R L₂\nh... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/MeasureTheory/Measure/Haar/OfBasis.lean | parallelepiped_single | [
153,
1
] | [
181,
35
] | [
{
"tactic": "ext x",
"annotated_tactic": [
"ext x",
[]
],
"state_before": "ι : Type u_1\nι' : Type u_2\nE : Type u_3\nF : Type u_4\ninst✝⁶ : Fintype ι\ninst✝⁵ : Fintype ι'\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module ℝ E\ninst✝² : AddCommGroup F\ninst✝¹ : Module ℝ F\ninst✝ : DecidableEq ι\n... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Ordmap/Ordset.lean | Ordnode.dual_node3L | [
316,
1
] | [
318,
46
] | [
{
"tactic": "simp [node3L, node3R, dual_node', add_comm]",
"annotated_tactic": [
"simp [<a>node3L</a>, <a>node3R</a>, <a>dual_node'</a>, <a>add_comm</a>]",
[
{
"full_name": "Ordnode.node3L",
"def_path": "Mathlib/Data/Ordmap/Ordset.lean",
"def_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/LinearAlgebra/Trace.lean | LinearMap.trace_eq_contract_of_basis' | [
155,
1
] | [
157,
76
] | [
{
"tactic": "simp [LinearEquiv.eq_comp_toLinearMap_symm, trace_eq_contract_of_basis b]",
"annotated_tactic": [
"simp [<a>LinearEquiv.eq_comp_toLinearMap_symm</a>, <a>trace_eq_contract_of_basis</a> b]",
[
{
"full_name": "LinearEquiv.eq_comp_toLinearMap_symm",
"def_path... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/Module/Basic.lean | map_ratCast_smul | [
64,
1
] | [
69,
56
] | [
{
"tactic": "rw [Rat.cast_def, Rat.cast_def, div_eq_mul_inv, div_eq_mul_inv, mul_smul, mul_smul,\n map_intCast_smul f R S, map_inv_natCast_smul f R S]",
"annotated_tactic": [
"rw [<a>Rat.cast_def</a>, <a>Rat.cast_def</a>, <a>div_eq_mul_inv</a>, <a>div_eq_mul_inv</a>, <a>mul_smul</a>, <a>mul_smul</a>,... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Topology/Order/DenselyOrdered.lean | tendsto_Ioo_atBot | [
378,
1
] | [
380,
62
] | [
{
"tactic": "rw [← comap_coe_Ioo_nhdsWithin_Ioi, tendsto_comap_iff]",
"annotated_tactic": [
"rw [← <a>comap_coe_Ioo_nhdsWithin_Ioi</a>, <a>tendsto_comap_iff</a>]",
[
{
"full_name": "comap_coe_Ioo_nhdsWithin_Ioi",
"def_path": "Mathlib/Topology/Order/DenselyOrdered.lean... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/Lie/OfAssociative.lean | LieModule.toEnd_lie | [
256,
1
] | [
258,
7
] | [
{
"tactic": "simp",
"annotated_tactic": [
"simp",
[]
],
"state_before": "R : Type u\nL : Type v\nM : Type w\ninst✝⁶ : CommRing R\ninst✝⁵ : LieRing L\ninst✝⁴ : LieAlgebra R L\ninst✝³ : AddCommGroup M\ninst✝² : Module R M\ninst✝¹ : LieRingModule L M\ninst✝ : LieModule R L M\nx y : L\nz : M... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Set/Lattice.lean | Set.iUnion_univ_pi | [
1999,
1
] | [
2002,
26
] | [
{
"tactic": "ext",
"annotated_tactic": [
"ext",
[]
],
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nι✝ : Sort u_4\nι' : Sort u_5\nι₂ : Sort u_6\nκ : ι✝ → Sort u_7\nκ₁ : ι✝ → Sort u_8\nκ₂ : ι✝ → Sort u_9\nκ' : ι' → Sort u_10\nπ : α → Type u_11\nι : α → Type u_12\nt : (a : α) ... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.units_smul_resolvent_self | [
187,
1
] | [
190,
42
] | [
{
"tactic": "simpa only [Units.smul_def, Algebra.id.smul_eq_mul, Units.inv_mul] using\n @units_smul_resolvent _ _ _ _ _ r r a",
"annotated_tactic": [
"simpa only [<a>Units.smul_def</a>, <a>Algebra.id.smul_eq_mul</a>, <a>Units.inv_mul</a>] using\n @<a>units_smul_resolvent</a> _ _ _ _ _ r r a",
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Int/ModEq.lean | Int.gcd_a_modEq | [
274,
1
] | [
276,
54
] | [
{
"tactic": "rw [← add_zero ((a : ℤ) * _), Nat.gcd_eq_gcd_ab]",
"annotated_tactic": [
"rw [← <a>add_zero</a> ((a : ℤ) * _), <a>Nat.gcd_eq_gcd_ab</a>]",
[
{
"full_name": "add_zero",
"def_path": "Mathlib/Algebra/Group/Defs.lean",
"def_pos": [
482,
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Set/Function.lean | Function.Semiconj.bijOn_range | [
1870,
1
] | [
1873,
63
] | [
{
"tactic": "rw [← image_univ]",
"annotated_tactic": [
"rw [← <a>image_univ</a>]",
[
{
"full_name": "Set.image_univ",
"def_path": "Mathlib/Data/Set/Image.lean",
"def_pos": [
701,
9
],
"def_end_pos": [
7... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Matroid/Constructions.lean | Matroid.emptyOn_dual_eq | [
61,
9
] | [
62,
34
] | [
{
"tactic": "rw [← ground_eq_empty_iff]",
"annotated_tactic": [
"rw [← <a>ground_eq_empty_iff</a>]",
[
{
"full_name": "Matroid.ground_eq_empty_iff",
"def_path": "Mathlib/Data/Matroid/Constructions.lean",
"def_pos": [
57,
9
]... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/GroupTheory/Finiteness.lean | Subgroup.fg_iff | [
237,
1
] | [
240,
44
] | [
{
"tactic": "simp [hS]",
"annotated_tactic": [
"simp [hS]",
[]
],
"state_before": "M : Type u_1\nN : Type u_2\ninst✝³ : Monoid M\ninst✝² : AddMonoid N\nG : Type u_3\nH : Type u_4\ninst✝¹ : Group G\ninst✝ : AddGroup H\nP : Subgroup G\nx✝ : ∃ S, closure S = P ∧ S.Finite\nS : Set G\nhS : cl... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/RingTheory/FractionalIdeal/Basic.lean | IsFractional.sup | [
452,
1
] | [
462,
42
] | [
{
"tactic": "rcases mem_sup.mp hb with ⟨bI, hbI, bJ, hbJ, rfl⟩",
"annotated_tactic": [
"rcases mem_sup.mp hb with ⟨bI, hbI, bJ, hbJ, rfl⟩",
[]
],
"state_before": "R : Type u_1\ninst✝² : CommRing R\nS : Submonoid R\nP : Type u_2\ninst✝¹ : CommRing P\ninst✝ : Algebra R P\nloc : IsLocalizat... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/LinearAlgebra/TensorProduct/Vanishing.lean | TensorProduct.forall_vanishesTrivially_iff_forall_rTensor_injective | [
230,
1
] | [
238,
81
] | [
{
"tactic": "constructor",
"annotated_tactic": [
"constructor",
[]
],
"state_before": "R : Type u\ninst✝⁵ : CommRing R\nM : Type u\ninst✝⁴ : AddCommGroup M\ninst✝³ : Module R M\nN : Type u\ninst✝² : AddCommGroup N\ninst✝¹ : Module R N\nι : Type u\ninst✝ : Fintype ι\nm : ι → M\nn : ι → N\... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/BigOperators/Group/Finset.lean | Finset.prod_powerset_cons | [
515,
1
] | [
524,
69
] | [
{
"tactic": "classical\nsimp_rw [cons_eq_insert]\nrw [prod_powerset_insert ha, prod_attach _ fun t ↦ f (insert a t)]",
"annotated_tactic": [
"classical\n simp_rw [<a>cons_eq_insert</a>]\n rw [<a>prod_powerset_insert</a> ha, <a>prod_attach</a> _ fun t ↦ f (<a>insert</a> a t)]",
[
{
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Probability/Kernel/MeasureCompProd.lean | MeasureTheory.Measure.compProd_add_left | [
82,
1
] | [
85,
73
] | [
{
"tactic": "rw [Measure.compProd, kernel.const_add, kernel.compProd_add_left]",
"annotated_tactic": [
"rw [<a>Measure.compProd</a>, <a>kernel.const_add</a>, <a>kernel.compProd_add_left</a>]",
[
{
"full_name": "MeasureTheory.Measure.compProd",
"def_path": "Mathlib/Pro... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/DirectSum/Basic.lean | DirectSum.toAddMonoid.unique | [
217,
1
] | [
221,
25
] | [
{
"tactic": "congr",
"annotated_tactic": [
"congr",
[]
],
"state_before": "ι : Type v\ndec_ι : DecidableEq ι\nβ : ι → Type w\ninst✝¹ : (i : ι) → AddCommMonoid (β i)\nγ : Type u₁\ninst✝ : AddCommMonoid γ\nφ : (i : ι) → β i →+ γ\nψ : (⨁ (i : ι), β i) →+ γ\nf : ⨁ (i : ι), β i\n⊢ ψ f = (toAd... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Fintype/Card.lean | Fintype.card_eq_zero_iff | [
537,
1
] | [
538,
52
] | [
{
"tactic": "rw [card, Finset.card_eq_zero, univ_eq_empty_iff]",
"annotated_tactic": [
"rw [<a>card</a>, <a>Finset.card_eq_zero</a>, <a>univ_eq_empty_iff</a>]",
[
{
"full_name": "Fintype.card",
"def_path": "Mathlib/Data/Fintype/Card.lean",
"def_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | mem_vectorSpan_pair | [
1294,
1
] | [
1296,
53
] | [
{
"tactic": "rw [vectorSpan_pair, Submodule.mem_span_singleton]",
"annotated_tactic": [
"rw [<a>vectorSpan_pair</a>, <a>Submodule.mem_span_singleton</a>]",
[
{
"full_name": "vectorSpan_pair",
"def_path": "Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean",
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Topology/Algebra/InfiniteSum/Order.lean | one_lt_tprod | [
220,
1
] | [
223,
51
] | [
{
"tactic": "rw [← tprod_one]",
"annotated_tactic": [
"rw [← <a>tprod_one</a>]",
[
{
"full_name": "tprod_one",
"def_path": "Mathlib/Topology/Algebra/InfiniteSum/Basic.lean",
"def_pos": [
416,
9
],
"def_end_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/AlgebraicGeometry/Morphisms/QuasiSeparated.lean | AlgebraicGeometry.IsAffineOpen.isQuasiSeparated | [
272,
1
] | [
275,
77
] | [
{
"tactic": "rw [isQuasiSeparated_iff_quasiSeparatedSpace]",
"annotated_tactic": [
"rw [<a>isQuasiSeparated_iff_quasiSeparatedSpace</a>]",
[
{
"full_name": "isQuasiSeparated_iff_quasiSeparatedSpace",
"def_path": "Mathlib/Topology/QuasiSeparated.lean",
"def_p... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/RepresentationTheory/Character.lean | FdRep.average_char_eq_finrank_invariants | [
106,
1
] | [
109,
57
] | [
{
"tactic": "erw [← (isProj_averageMap V.ρ).trace]",
"annotated_tactic": [
"erw [← (<a>isProj_averageMap</a> V.ρ).<a>trace</a>]",
[
{
"full_name": "Representation.isProj_averageMap",
"def_path": "Mathlib/RepresentationTheory/Invariants.lean",
"def_pos": [
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Order/SymmDiff.lean | symmDiff_hnot_self | [
357,
1
] | [
357,
87
] | [
{
"tactic": "rw [symmDiff_comm, hnot_symmDiff_self]",
"annotated_tactic": [
"rw [<a>symmDiff_comm</a>, <a>hnot_symmDiff_self</a>]",
[
{
"full_name": "symmDiff_comm",
"def_path": "Mathlib/Order/SymmDiff.lean",
"def_pos": [
113,
9
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Algebra/Order/Ring/Basic.lean | le_self_pow | [
100,
1
] | [
101,
76
] | [
{
"tactic": "simpa only [pow_one] using pow_le_pow_right ha <| Nat.pos_iff_ne_zero.2 h",
"annotated_tactic": [
"simpa only [<a>pow_one</a>] using <a>pow_le_pow_right</a> ha <| <a>Nat.pos_iff_ne_zero</a>.2 h",
[
{
"full_name": "pow_one",
"def_path": "Mathlib/Algebra/Gr... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Seq/Computation.lean | Computation.results_bind | [
776,
1
] | [
789,
32
] | [
{
"tactic": "have := h1.mem",
"annotated_tactic": [
"have := h1.mem",
[]
],
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ns : Computation α\nf : α → Computation β\na : α\nb : β\nm n : ℕ\nh1 : s.Results a m\nh2 : (f a).Results b n\n⊢ (s.bind f).Results b (n + m)",
"state_after"... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | .lake/packages/batteries/Batteries/Data/String/Lemmas.lean | Substring.Valid.foldr | [
1038,
1
] | [
1039,
74
] | [
{
"tactic": "simp [h.foldr, h.toString]",
"annotated_tactic": [
"simp [h.foldr, h.toString]",
[]
],
"state_before": "α : Type u_1\nf : Char → α → α\ninit : α\nx✝ : Substring\nh✝ : x✝.Valid\nw✝² w✝¹ w✝ : List Char\nh : ValidFor w✝² w✝¹ w✝ x✝\n⊢ Substring.foldr f init x✝ = List.foldr f ini... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Analysis/Calculus/ContDiff/Defs.lean | contDiff_succ_iff_hasFDerivAt | [
1533,
1
] | [
1537,
91
] | [
{
"tactic": "simp only [← contDiffOn_univ, ← hasFDerivWithinAt_univ,\n contDiffOn_succ_iff_hasFDerivWithin uniqueDiffOn_univ, Set.mem_univ, forall_true_left]",
"annotated_tactic": [
"simp only [← <a>contDiffOn_univ</a>, ← <a>hasFDerivWithinAt_univ</a>,\n <a>contDiffOn_succ_iff_hasFDerivWithin</a> ... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Data/Complex/ExponentialBounds.lean | Real.exp_neg_one_gt_d9 | [
44,
1
] | [
48,
13
] | [
{
"tactic": "rw [exp_neg, lt_inv _ (exp_pos _)]",
"annotated_tactic": [
"rw [<a>exp_neg</a>, <a>lt_inv</a> _ (<a>exp_pos</a> _)]",
[
{
"full_name": "Real.exp_neg",
"def_path": "Mathlib/Data/Complex/Exponential.lean",
"def_pos": [
862,
... |
https://github.com/leanprover-community/mathlib4 | 29dcec074de168ac2bf835a77ef68bbe069194c5 | Mathlib/Analysis/InnerProductSpace/Adjoint.lean | LinearMap.adjoint_inner_left | [
381,
1
] | [
385,
53
] | [
{
"tactic": "haveI := FiniteDimensional.complete 𝕜 E",
"annotated_tactic": [
"haveI := <a>FiniteDimensional.complete</a> 𝕜 E",
[
{
"full_name": "FiniteDimensional.complete",
"def_path": "Mathlib/Topology/Algebra/Module/FiniteDimension.lean",
"def_pos": [
... |
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