file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Topology/MetricSpace/Basic.lean | uniformContinuous_dist | [] | [
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Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.algHom_eval₂_algebraMap | [
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Mathlib/SetTheory/ZFC/Ordinal.lean | ZFSet.isTransitive_iff_subset_powerset | [] | [
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | ChartedSpace.liftProp_iff | [
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Std/Data/Array/Lemmas.lean | Array.get?_len_le | [
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Mathlib/Data/Finset/Basic.lean | Finset.attach_eq_empty_iff | [
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2427,
37
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Mathlib/Data/Set/Pointwise/SMul.lean | Set.smul_set_singleton | [] | [
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Mathlib/Data/Pi/Algebra.lean | Pi.mulSingle_apply | [] | [
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Mathlib/Topology/Order/Basic.lean | sSup_mem_closure | [] | [
2626,
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.mul_zero_subset | [
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1138,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_add_eq_of_leadingCoeff_add_ne_zero | [
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Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoDiv_eq_floor | [
{
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1001,
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997,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_sub_nat_mul_two_pi | [] | [
366,
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Mathlib/Data/List/Perm.lean | List.mem_permutations' | [] | [
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74
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1332,
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Mathlib/Algebra/BigOperators/Finsupp.lean | Finsupp.liftAddHom_apply | [] | [
442,
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440,
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Mathlib/Logic/Equiv/Defs.lean | Equiv.conj_trans | [] | [
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54
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Mathlib/AlgebraicTopology/MooreComplex.lean | AlgebraicTopology.NormalizedMooreComplex.d_squared | [
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Mathlib/Analysis/Calculus/Dslope.lean | continuousAt_dslope_same | [
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Mathlib/Data/List/Count.lean | List.count_bind | [
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Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.fst_prod | [
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Mathlib/Data/Finset/Basic.lean | Finset.disjiUnion_empty | [
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Mathlib/MeasureTheory/Decomposition/Jordan.lean | MeasureTheory.JordanDecomposition.toJordanDecomposition_toSignedMeasure | [
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Mathlib/MeasureTheory/MeasurableSpace.lean | MeasurableSpace.map_top | [] | [
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Mathlib/LinearAlgebra/Determinant.lean | LinearEquiv.coe_ofIsUnitDet | [
{
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Mathlib/Data/List/Sublists.lean | List.sublistsLen_zero | [] | [
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Mathlib/Order/Disjoint.lean | Disjoint.left_le_of_le_sup_left | [
{
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.Equiv.trans | [] | [
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Mathlib/Order/BoundedOrder.lean | isMin_iff_eq_bot | [] | [
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Mathlib/Algebra/Order/Kleene.lean | pow_le_kstar | [
{
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Mathlib/Algebra/MonoidAlgebra/Grading.lean | AddMonoidAlgebra.grade.decompose_single | [] | [
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Mathlib/Analysis/NormedSpace/Units.lean | NormedRing.inverse_continuousAt | [
{
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Mathlib/RingTheory/Algebraic.lean | isAlgebraic_iff_isIntegral | [
{
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195,
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.WSameSide.nonempty | [] | [
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35
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Mathlib/Data/List/Perm.lean | List.prod_reverse | [] | [
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27
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.ofSet_symm | [] | [
771,
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Mathlib/RingTheory/Ideal/MinimalPrime.lean | Ideal.mimimal_primes_comap_of_surjective | [
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.coe_eq_id | [
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_add_adjacent_intervals_cancel | [
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Std/Data/RBMap/WF.lean | Std.RBNode.Ordered.balance1 | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean | Real.arccos_eq_arcsin | [
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Mathlib/Topology/ShrinkingLemma.lean | exists_iUnion_eq_closure_subset | [] | [
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Mathlib/CategoryTheory/Adjunction/Opposites.lean | CategoryTheory.Adjunction.homEquiv_symm_rightAdjointUniq_hom_app | [
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.PushoutCocone.epi_of_isColimitMkIdId | [
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Mathlib/Data/Complex/Basic.lean | Complex.ofReal_mul | [
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Mathlib/Data/Real/EReal.lean | EReal.sign_eq_and_abs_eq_iff_eq | [
{
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},
{
... | [
1156,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1150,
1
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Mathlib/Algebra/Group/Prod.lean | MulHom.snd_comp_prod | [] | [
366,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
365,
1
] |
Mathlib/Data/List/Basic.lean | List.span.loop_eq_take_drop | [
{
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},
{
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3604,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3600,
1
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Mathlib/Topology/Support.lean | HasCompactMulSupport.isCompact | [] | [
164,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
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Mathlib/Data/List/Perm.lean | List.perm_insertNth | [
{
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987,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
976,
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Mathlib/Analysis/Convex/Cone/Dual.lean | ConvexCone.pointed_of_nonempty_of_isClosed | [
{
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157,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
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Mathlib/CategoryTheory/Quotient.lean | CategoryTheory.Quotient.comp_left | [
{
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] | [
76,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
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Mathlib/Data/Set/Basic.lean | Set.compl_empty_iff | [] | [
1679,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1678,
1
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Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.Homotopy.apply_one | [] | [
149,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
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Mathlib/Computability/TuringMachine.lean | Turing.Reaches₀.trans | [] | [
783,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
781,
1
] |
Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.map_one | [] | [
775,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
774,
1
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Mathlib/RingTheory/Ideal/Over.lean | Ideal.Quotient.algebraMap_quotient_map_quotient | [] | [
170,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
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Mathlib/Data/List/Zip.lean | List.reverse_revzip | [
{
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"state_before": "α : Type u\nβ : Type ?u.93715\nγ : Type ?u.93718\nδ : Type ?u.93721\nε : Type ... | [
364,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
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Mathlib/Analysis/SpecialFunctions/Polynomials.lean | Polynomial.tendsto_nhds_iff | [
{
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120,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
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Mathlib/Order/Circular.lean | Set.right_mem_cIcc | [] | [
369,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
368,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Type.lean | Equiv.Perm.card_cycleType_eq_zero | [
{
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"tactic": "rw [card_eq_zero, cycleType_eq_zero]"
}
] | [
90,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/Order/Heyting/Basic.lean | sup_sdiff_right_self | [
{
"state_after": "no goals",
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"tactic": "rw [sup_sdiff, sdiff_self, sup_bot_eq]"
}
] | [
658,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
658,
1
] |
Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.mem_supported' | [
{
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206,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.Bounded.closure | [] | [
2362,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2361,
11
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Mathlib/Data/Multiset/Bind.lean | Multiset.join_cons | [] | [
56,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Data/List/Infix.lean | List.mem_of_mem_dropLast | [] | [
195,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
194,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.ext_elem_iff | [
{
"state_after": "no goals",
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293,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
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Mathlib/AlgebraicTopology/DoldKan/Homotopies.lean | AlgebraicTopology.DoldKan.map_hσ' | [
{
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195,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/Computability/TuringMachine.lean | Turing.TM2to1.tr_respects_aux | [
{
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2699,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2681,
1
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Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean | Conformal.const_smul | [] | [
149,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
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Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.ae_eq_univ | [] | [
449,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
448,
1
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Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.mem_closure_iff_exists_list | [
{
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966,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
941,
1
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Mathlib/Algebra/Hom/Ring.lean | RingHom.congr_fun | [] | [
524,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
523,
1
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Mathlib/Data/Real/ENNReal.lean | ENNReal.div_eq_div_iff | [
{
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1711,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1707,
11
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Mathlib/Combinatorics/Composition.lean | Composition.invEmbedding_comp | [
{
"state_after": "no goals",
"state_before": "n : ℕ\nc : Composition n\ni : Fin (length c)\nj : Fin (blocksFun c i)\n⊢ ↑(invEmbedding c (↑(embedding c i) j)) = ↑j",
"tactic": "simp_rw [coe_invEmbedding, index_embedding, coe_embedding, add_tsub_cancel_left]"
}
] | [
443,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
1
] |
Mathlib/RepresentationTheory/Maschke.lean | MonoidAlgebra.Submodule.exists_isCompl | [
{
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172,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
] |
Mathlib/RingTheory/Localization/Cardinality.lean | IsLocalization.card_le | [
{
"state_after": "case inl\nR : Type u\ninst✝³ : CommRing R\nS : Submonoid R\nL : Type u\ninst✝² : CommRing L\ninst✝¹ : Algebra R L\ninst✝ : IsLocalization S L\nval✝ : Fintype R\n⊢ (#L) ≤ (#R)\n\ncase inr\nR : Type u\ninst✝³ : CommRing R\nS : Submonoid R\nL : Type u\ninst✝² : CommRing L\ninst✝¹ : Algebra R L\ni... | [
51,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
41,
1
] |
Mathlib/Topology/Spectral/Hom.lean | SpectralMap.coe_id | [] | [
164,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/Analysis/Convex/Between.lean | Wbtw.sameRay_vsub | [
{
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568,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
561,
1
] |
Mathlib/Data/Matrix/Kronecker.lean | Matrix.trace_kroneckerMapBilinear | [
{
"state_after": "no goals",
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233,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
228,
1
] |
Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.comp_coconePointsIsoOfNatIso_hom | [
{
"state_after": "no goals",
"state_before": "J : Type u₁\ninst✝² : Category J\nK : Type u₂\ninst✝¹ : Category K\nC : Type u₃\ninst✝ : Category C\nF✝ : J ⥤ C\nt✝ : Cocone F✝\nF G : J ⥤ C\ns : Cocone F\nt : Cocone G\nP : IsColimit s\nQ : IsColimit t\nw : F ≅ G\nj : J\n⊢ s.ι.app j ≫ (coconePointsIsoOfNatIso P... | [
831,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
829,
1
] |
Mathlib/CategoryTheory/Idempotents/Karoubi.lean | CategoryTheory.Idempotents.Karoubi.decomp_p | [
{
"state_after": "case h\nC : Type u_1\ninst✝ : Category C\nP : Karoubi C\n⊢ ((toKaroubi C).map P.p).f = (decompId_p P ≫ decompId_i P).f",
"state_before": "C : Type u_1\ninst✝ : Category C\nP : Karoubi C\n⊢ (toKaroubi C).map P.p = decompId_p P ≫ decompId_i P",
"tactic": "ext"
},
{
"state_after":... | [
284,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
282,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_div | [] | [
536,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
534,
1
] |
Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.le_sInf' | [] | [
206,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
9
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.continuous_pow | [
{
"state_after": "case zero\nα : Type ?u.105152\nβ : Type ?u.105155\nγ : Type ?u.105158\na b c d : ℝ≥0∞\nr p q : ℝ≥0\nx y z ε ε₁ ε₂ : ℝ≥0∞\ns : Set ℝ≥0∞\n⊢ Continuous fun a => a ^ Nat.zero\n\ncase succ\nα : Type ?u.105152\nβ : Type ?u.105155\nγ : Type ?u.105158\na b c d : ℝ≥0∞\nr p q : ℝ≥0\nx y z ε ε₁ ε₂ : ℝ≥0∞... | [
437,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | contDiffOn_congr | [] | [
708,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
707,
1
] |
Mathlib/CategoryTheory/Limits/Preserves/Limits.lean | CategoryTheory.preservesLimitsIso_hom_π | [] | [
66,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Algebra/Category/GroupCat/EpiMono.lean | GroupCat.SurjectiveOfEpiAuxs.τ_apply_fromCoset | [] | [
189,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
1
] |
Mathlib/Algebra/Order/Nonneg/Ring.lean | Nonneg.mk_pow | [] | [
257,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.coe_nil | [] | [
101,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
1
] |
Std/Data/List/Lemmas.lean | List.Sublist.append_left | [] | [
366,
50
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
365,
1
] |
Mathlib/Data/Prod/Basic.lean | Prod.ext_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.3004\nδ : Type ?u.3007\np q : α × β\n⊢ p = q ↔ p.fst = q.fst ∧ p.snd = q.snd",
"tactic": "rw [← @mk.eta _ _ p, ← @mk.eta _ _ q, mk.inj_iff]"
}
] | [
121,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.mapₗ_congr | [
{
"state_after": "case h\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.172555\nδ : Type ?u.172558\nι : Type ?u.172561\nR : Type ?u.172564\nR' : Type ?u.172567\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns✝ s' t : Set α\nf g : α → β\nhf : Measurab... | [
1151,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1147,
1
] |
Mathlib/Algebra/CubicDiscriminant.lean | Cubic.degree_of_a_ne_zero' | [] | [
310,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
] |
Mathlib/Data/Real/GoldenRatio.lean | gold_sub_goldConj | [
{
"state_after": "⊢ (1 + sqrt 5) / 2 - (1 - sqrt 5) / 2 = sqrt 5",
"state_before": "⊢ φ - ψ = sqrt 5",
"tactic": "rw [goldenRatio, goldenConj]"
},
{
"state_after": "no goals",
"state_before": "⊢ (1 + sqrt 5) / 2 - (1 - sqrt 5) / 2 = sqrt 5",
"tactic": "ring"
}
] | [
92,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/Topology/Order/Basic.lean | IsCompact.bddAbove_image | [] | [
830,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
828,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_def | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝ : Semiring R\ns : Unit →₀ ℕ\nn : ℕ\nh : ↑s () = n\n⊢ coeff R n = MvPowerSeries.coeff R s",
"tactic": "erw [coeff, ← h, ← Finsupp.unique_single s]"
}
] | [
1320,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1319,
1
] |
Mathlib/Data/Bool/Basic.lean | Bool.false_lt_true | [] | [
349,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
348,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.strictAntiOn_logb | [
{
"state_after": "b x✝ y✝ : ℝ\nhb : 1 < b\nx : ℝ\nhx : x < 0\ny : ℝ\nhy : y < 0\nhxy : x < y\n⊢ logb b y < logb b x",
"state_before": "b x y : ℝ\nhb : 1 < b\n⊢ StrictAntiOn (logb b) (Iio 0)",
"tactic": "rintro x (hx : x < 0) y (hy : y < 0) hxy"
},
{
"state_after": "b x✝ y✝ : ℝ\nhb : 1 < b\nx : ℝ... | [
228,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/Topology/TietzeExtension.lean | BoundedContinuousFunction.exists_extension_forall_exists_le_ge_of_closedEmbedding | [
{
"state_after": "X : Type u_1\nY : Type u_2\ninst✝³ : TopologicalSpace X\ninst✝² : TopologicalSpace Y\ninst✝¹ : NormalSpace Y\ninst✝ : Nonempty X\nf : X →ᵇ ℝ\ne : X → Y\nhe : ClosedEmbedding e\ninhabited_h : Inhabited X\n⊢ ∃ g, (∀ (y : Y), ∃ x₁ x₂, ↑g y ∈ Icc (↑f x₁) (↑f x₂)) ∧ ↑g ∘ e = ↑f",
"state_before"... | [
305,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
] |
Mathlib/RingTheory/Localization/Submodule.lean | IsFractionRing.coeSubmodule_le_coeSubmodule | [] | [
197,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
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