file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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|---|---|---|---|---|---|---|
Mathlib/CategoryTheory/Types.lean | CategoryTheory.epi_iff_surjective | [
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60
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260,
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.map_subtype_coe_factors' | [
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1405,
59
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Mathlib/Topology/Order/Basic.lean | Monotone.map_iSup_of_continuousAt' | [
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Mathlib/Order/Cover.lean | Prod.mk_wcovby_mk_iff_right | [] | [
525,
47
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524,
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.map_zero | [] | [
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19
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Mathlib/Topology/UniformSpace/Basic.lean | uniformity_subtype | [] | [
1476,
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1474,
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Mathlib/Data/Finset/Pointwise.lean | Finset.preimage_mul_left_one | [
{
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"tactic": ... | [
1227,
58
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1226,
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Mathlib/FieldTheory/Subfield.lean | SubfieldClass.coe_rat_cast | [] | [
103,
6
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102,
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Mathlib/CategoryTheory/Limits/Constructions/Over/Connected.lean | CategoryTheory.Over.CreatesConnected.raised_cone_lowers_to_original | [
{
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}
] | [
67,
57
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Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.coe_currySumEquiv | [] | [
1514,
6
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1513,
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | mulLECancellable_one | [
{
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"tactic": "simpa only [one_mul] using id"
}
] | [
1595,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.associated_isSymm | [
{
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | Real.differentiable_cosh | [] | [
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667,
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Mathlib/GroupTheory/Coset.lean | QuotientGroup.leftRel_apply | [
{
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"tactic": "simp only [inv_mul_eq_iff_eq_mul, Subgroup.coe_inv, eq_mul_inv_iff_mul_eq]"
},
{
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"state_before": "α : Type u... | [
330,
63
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Mathlib/Algebra/FreeAlgebra.lean | FreeAlgebra.algebraMap_inj | [] | [
423,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.eval₂Hom_congr' | [
{
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Mathlib/Topology/VectorBundle/Basic.lean | Trivialization.mk_coordChangeL | [
{
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Mathlib/Topology/Order/LowerTopology.lean | WithLowerTopology.of_withLowerTopology_symm_eq | [] | [
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Mathlib/RingTheory/Localization/Integral.lean | IsLocalization.integerNormalization_spec | [
{
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Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean | Real.hasStrictDerivAt_tan | [
{
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},
{
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Mathlib/Data/Set/Basic.lean | Set.mem_inter_iff | [] | [
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Mathlib/Data/Real/EReal.lean | EReal.top_mul_of_neg | [
{
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},
{
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"tactic": "exact mul_top_of_neg h"
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] | [
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25
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Mathlib/Analysis/Convex/Strict.lean | StrictConvex.add_left | [
{
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Mathlib/Data/Set/Intervals/Basic.lean | Set.nonempty_Ico_subtype | [] | [
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43
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Mathlib/Data/PNat/Defs.lean | PNat.succPNat_natPred | [] | [
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40
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Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.bot_eq_zero | [] | [
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Mathlib/Order/Filter/Bases.lean | Filter.HasBasis.sup | [] | [
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Mathlib/Data/Complex/Exponential.lean | Real.exp_sub_sinh | [] | [
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Mathlib/Algebra/Module/Submodule/Basic.lean | Submodule.injective_subtype | [] | [
381,
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_add_measure | [
{
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.NormNoninc.neg_iff | [
{
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Mathlib/Data/List/Basic.lean | List.reduceOption_length_lt_iff | [
{
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3472,
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Mathlib/RingTheory/PowerBasis.lean | PowerBasis.equivOfMinpoly_map | [] | [
496,
27
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494,
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.smul_coeff | [] | [
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Mathlib/Data/IsROrC/Basic.lean | IsROrC.imLm_coe | [] | [
910,
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909,
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Mathlib/CategoryTheory/Subobject/FactorThru.lean | CategoryTheory.Subobject.factors_of_le | [
{
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Mathlib/LinearAlgebra/FiniteDimensional.lean | Module.finrank_le_one_iff_top_isPrincipal | [
{
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"tactic": "rw [← Module.rank_le_one_iff_top_isPrincipal, ← finrank_eq_rank, ← Cardinal.natCast_l... | [
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.withDensity_tsum | [
{
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... | [
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88
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.toNat_congr | [
{
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}
] | [
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Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.abs_rpow_le_exp_log_mul | [
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Mathlib/GroupTheory/Index.lean | Subgroup.index_mul_card | [
{
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364,
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Mathlib/Data/Set/Sups.lean | Set.sups_singleton | [] | [
153,
25
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152,
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.equivOfEq_trans | [] | [
208,
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206,
1
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Mathlib/Algebra/Hom/Units.lean | IsUnit.inv_mul_cancel_right | [] | [
309,
33
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308,
11
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Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.le_comap_map | [] | [
294,
28
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Mathlib/Algebra/GroupPower/Lemmas.lean | zpow_le_zpow_iff | [] | [
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39
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.SurjectiveOnWith.exists_pos | [
{
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200,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/Data/Rat/Cast.lean | Rat.cast_comm | [] | [
74,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.mem_box | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.474\nβ : Type ?u.477\nn d k N : ℕ\nx : Fin n → ℕ\n⊢ x ∈ box n d ↔ ∀ (i : Fin n), x i < d",
"tactic": "simp only [box, Fintype.mem_piFinset, mem_range]"
}
] | [
77,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/RingTheory/HahnSeries.lean | HahnSeries.algebraMap_apply' | [] | [
1319,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1317,
1
] |
Mathlib/Data/Prod/Basic.lean | Prod.forall | [] | [
34,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
33,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.coe_compRingHom | [] | [
1092,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1091,
1
] |
Mathlib/Order/GaloisConnection.lean | GaloisCoinsertion.u_l_leftInverse | [] | [
777,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
775,
1
] |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | WithSeminorms.toLocallyConvexSpace | [
{
"state_after": "case hbasis\n𝕜 : Type u_1\n𝕜₂ : Type ?u.678312\n𝕝 : Type ?u.678315\n𝕝₂ : Type ?u.678318\nE : Type u_2\nF : Type ?u.678324\nG : Type ?u.678327\nι : Type u_3\nι' : Type ?u.678333\ninst✝⁸ : Nonempty ι\ninst✝⁷ : NormedField 𝕜\ninst✝⁶ : NormedSpace ℝ 𝕜\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Modul... | [
684,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
675,
1
] |
Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.comap_equiv_eq_map_symm | [] | [
718,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
716,
1
] |
Mathlib/Algebra/Order/Pointwise.lean | LinearOrderedField.smul_Ico | [
{
"state_after": "case h\nα : Type ?u.56727\nK : Type u_1\ninst✝ : LinearOrderedField K\na b r : K\nhr : 0 < r\nx : K\n⊢ x ∈ r • Ico a b ↔ x ∈ Ico (r • a) (r • b)",
"state_before": "α : Type ?u.56727\nK : Type u_1\ninst✝ : LinearOrderedField K\na b r : K\nhr : 0 < r\n⊢ r • Ico a b = Ico (r • a) (r • b)",
... | [
227,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | HasFDerivWithinAt.const_sub | [] | [
610,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
608,
8
] |
Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.pellZd_succ | [
{
"state_after": "no goals",
"state_before": "a : ℕ\na1 : 1 < a\nn : ℕ\n⊢ pellZd a1 (n + 1) = pellZd a1 n * { re := ↑a, im := 1 }",
"tactic": "simp [Zsqrtd.ext]"
}
] | [
223,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
223,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.parallelPair_obj_one | [] | [
231,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
1
] |
Mathlib/Order/FixedPoints.lean | OrderHom.map_gfp | [] | [
128,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/NumberTheory/LucasLehmer.lean | LucasLehmer.Int.coe_nat_two_pow_pred | [
{
"state_after": "no goals",
"state_before": "p : ℕ\n⊢ 0 < 2",
"tactic": "decide"
}
] | [
137,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/Algebra/Group/Commute.lean | Commute.units_val_iff | [] | [
259,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
1
] |
Mathlib/GroupTheory/GroupAction/SubMulAction.lean | SubMulAction.SMulMemClass.coeSubtype | [] | [
227,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
11
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_lt_degree_mul_X | [
{
"state_after": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np q : R[X]\nι : Type ?u.707375\nhp : p ≠ 0\nthis : Nontrivial R\n⊢ degree p < degree (p * X)",
"state_before": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np q : R[X]\nι : Type ?u.707375\nhp : p ≠ 0\n⊢ ... | [
1109,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1105,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.nnnorm_const_le | [] | [
1020,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1019,
1
] |
Mathlib/Algebra/Group/Commute.lean | Commute.mul_div_mul_comm | [] | [
336,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
334,
11
] |
Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.simpleFunc_bot' | [
{
"state_after": "α✝ : Type ?u.21990\nβ : Type u_2\nγ : Type ?u.21996\nδ : Type ?u.21999\ninst✝¹ : MeasurableSpace α✝\nα : Type u_1\ninst✝ : Nonempty β\nf : α →ₛ β\nthis : MeasurableSpace α := ⊥\n⊢ ∃ c, f = const α c",
"state_before": "α✝ : Type ?u.21990\nβ : Type u_2\nγ : Type ?u.21996\nδ : Type ?u.21999\n... | [
193,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/ModelTheory/LanguageMap.lean | FirstOrder.Language.LHom.sumMap_comp_inl | [] | [
216,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Std/Data/Int/Lemmas.lean | Int.ofNat_natAbs_of_nonpos | [
{
"state_after": "no goals",
"state_before": "a : Int\nH : a ≤ 0\n⊢ ↑(natAbs a) = -a",
"tactic": "rw [← natAbs_neg, natAbs_of_nonneg (Int.neg_nonneg_of_nonpos H)]"
}
] | [
1248,
67
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1247,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.nnnorm_const_eq | [] | [
1025,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1024,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.sub_le_sub | [] | [
865,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
864,
1
] |
Mathlib/Combinatorics/Additive/Energy.lean | Finset.multiplicativeEnergy_mono_right | [] | [
70,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Mathlib/InformationTheory/Hamming.lean | hammingNorm_nonneg | [] | [
180,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
1
] |
Mathlib/Analysis/Calculus/Deriv/Mul.lean | deriv_mul_const | [] | [
231,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
1
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.coe_pi | [] | [
1219,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1218,
1
] |
Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.isSheaf_bot | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝ : Category C\nP Q U : Cᵒᵖ ⥤ Type w\nX✝ Y : C\nS : Sieve X✝\nR : Presieve X✝\nJ J₂ : GrothendieckTopology C\nX : C\n⊢ ∀ (S : Sieve X), S ∈ GrothendieckTopology.sieves ⊥ X → IsSheafFor P S.arrows",
"tactic": "simp [isSheafFor_top_sieve]"
}... | [
783,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
782,
1
] |
Mathlib/Combinatorics/Quiver/Cast.lean | Quiver.Hom.cast_heq | [
{
"state_after": "U : Type u_1\ninst✝ : Quiver U\nu' v' : U\ne : u' ⟶ v'\n⊢ HEq (cast (_ : u' = u') (_ : v' = v') e) e",
"state_before": "U : Type u_1\ninst✝ : Quiver U\nu v u' v' : U\nhu : u = u'\nhv : v = v'\ne : u ⟶ v\n⊢ HEq (cast hu hv e) e",
"tactic": "subst_vars"
},
{
"state_after": "no go... | [
63,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Order/WellFoundedSet.lean | Set.isWf_singleton | [] | [
471,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
471,
9
] |
Std/Data/Int/DivMod.lean | Int.add_mul_emod_self_left | [
{
"state_after": "no goals",
"state_before": "a b c : Int\n⊢ (a + b * c) % b = a % b",
"tactic": "rw [Int.mul_comm, Int.add_mul_emod_self]"
}
] | [
412,
43
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
411,
9
] |
Mathlib/Order/Filter/Basic.lean | Filter.comap_neBot_iff_frequently | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.263265\nι : Sort x\nf✝ f₁ f₂ : Filter α\ng g₁ g₂ : Filter β\nm✝ : α → β\nm' : β → γ\ns : Set α\nt : Set β\nf : Filter β\nm : α → β\n⊢ NeBot (comap m f) ↔ ∃ᶠ (y : β) in f, y ∈ range m",
"tactic": "simp only [com... | [
2348,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2346,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/WidePullbacks.lean | CategoryTheory.Limits.WidePullback.hom_ext | [
{
"state_after": "J : Type w\nC : Type u\ninst✝² : Category C\nD : Type u_1\ninst✝¹ : Category D\nB : D\nobjs : J → D\narrows : (j : J) → objs j ⟶ B\ninst✝ : HasWidePullback B objs arrows\nX : D\nf : X ⟶ B\nfs : (j : J) → X ⟶ objs j\nw : ∀ (j : J), fs j ≫ arrows j = f\ng1 g2 : X ⟶ widePullback B (fun j => objs ... | [
378,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
372,
1
] |
Mathlib/Analysis/Normed/Group/BallSphere.lean | coe_neg_closedBall | [] | [
61,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
9
] |
Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.canonicalEquiv_trans_canonicalEquiv | [] | [
941,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
938,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.conj_re | [] | [
340,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
339,
1
] |
Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.map_comp | [] | [
757,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
755,
1
] |
Std/Data/RBMap/Lemmas.lean | Std.RBNode.Path.fill_toList | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nt : RBNode α\np : Path α\n⊢ toList (fill p t) = withList p (toList t)",
"tactic": "induction p generalizing t <;> simp [*]"
}
] | [
485,
42
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
484,
9
] |
Mathlib/Order/Bounds/Basic.lean | IsGLB.of_image | [] | [
1558,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1555,
1
] |
Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean | Asymptotics.SuperpolynomialDecay.trans_abs_le | [] | [
194,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.seq_assoc | [
{
"state_after": "case refine'_1\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.294746\nι : Sort x\nx : Filter α\ng : Filter (α → β)\nh : Filter (β → γ)\ns : Set (α → γ)\nhs : s ∈ seq (map (fun x x_1 => x ∘ x_1) h) g\nt : Set α\nht : t ∈ x\n⊢ Set.seq s t ∈ seq h (seq g x)\n\ncase refine'_2\nα : Type u\nβ : Ty... | [
2677,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2666,
1
] |
Mathlib/Topology/Algebra/WithZeroTopology.lean | WithZeroTopology.isClosed_iff | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.91489\nΓ₀ : Type u_1\ninst✝ : LinearOrderedCommGroupWithZero Γ₀\nγ γ₁ γ₂ : Γ₀\nl : Filter α\nf : α → Γ₀\ns : Set Γ₀\n⊢ IsClosed s ↔ 0 ∈ s ∨ ∃ γ, γ ≠ 0 ∧ s ⊆ Ici γ",
"tactic": "simp only [← isOpen_compl_iff, isOpen_iff, mem_compl_iff, not_not, ← c... | [
147,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | le_csInf_iff' | [] | [
979,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
978,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.update_cons_zero | [
{
"state_after": "case h\nm n : ℕ\nα : Fin (n + 1) → Type u\nx : α 0\nq : (i : Fin (n + 1)) → α i\np : (i : Fin n) → α (succ i)\ni : Fin n\ny : α (succ i)\nz : α 0\nj : Fin (n + 1)\n⊢ update (cons x p) 0 z j = cons z p j",
"state_before": "m n : ℕ\nα : Fin (n + 1) → Type u\nx : α 0\nq : (i : Fin (n + 1)) → ... | [
131,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Topology/UniformSpace/Separation.lean | separated_equiv | [] | [
108,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.coe_deriv₂ | [] | [
1378,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1376,
1
] |
Mathlib/Order/Hom/Bounded.lean | BotHom.copy_eq | [] | [
418,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
417,
1
] |
Std/Data/List/Lemmas.lean | List.next?_nil | [] | [
456,
54
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
456,
9
] |
Mathlib/Algebra/Category/ModuleCat/Images.lean | ModuleCat.image.fac | [] | [
59,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.mapDomain_equiv_apply | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.172677\nι : Type ?u.172680\nM : Type u_3\nM' : Type ?u.172686\nN : Type ?u.172689\nP : Type ?u.172692\nG : Type ?u.172695\nH : Type ?u.172698\nR : Type ?u.172701\nS : Type ?u.172704\ninst✝ : AddCommMonoid M\nv v₁ v₂ : α →₀ M\nf : α ≃ β\nx : α →₀ M\na : β... | [
506,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
503,
1
] |
Mathlib/LinearAlgebra/Dual.lean | Basis.toDual_inj | [
{
"state_after": "R : Type u\nM : Type v\nK : Type u₁\nV : Type u₂\nι : Type w\ninst✝³ : CommSemiring R\ninst✝² : AddCommMonoid M\ninst✝¹ : Module R M\ninst✝ : DecidableEq ι\nb : Basis ι R M\nm : M\na : ↑(toDual b) m = 0\n⊢ ↑b.repr m = 0",
"state_before": "R : Type u\nM : Type v\nK : Type u₁\nV : Type u₂\nι... | [
358,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.insert_inj | [] | [
1172,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1171,
1
] |
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