file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Algebra/Order/Hom/Monoid.lean | OrderMonoidHom.ext | [] | [
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.symm_image_target_inter_eq | [] | [
506,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
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Mathlib/Order/SupIndep.lean | CompleteLattice.independent_def' | [
{
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Mathlib/Topology/SubsetProperties.lean | isClopen_iUnion | [] | [
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.adjoin_simple_adjoin_simple | [] | [
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Mathlib/Algebra/Order/LatticeGroup.lean | inf_mul_sup | [
{
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"tactic": "rw [mul_sup b⁻¹ a⁻¹ (a * b), mul_inv_cancel_right, mul_i... | [
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Mathlib/Topology/PathConnected.lean | Path.refl_range | [
{
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"tactic": "simp [Path.refl, CoeFun.coe]"
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166,
90
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Mathlib/Order/Filter/SmallSets.lean | Filter.eventually_smallSets_subset | [] | [
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Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.coe_comp | [] | [
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Mathlib/Data/List/Sublists.lean | List.sublistsAux_eq_array_foldl | [
{
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Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.colimit.cocone_ι | [] | [
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Mathlib/Data/Finsupp/NeLocus.lean | Finsupp.nonempty_neLocus_iff | [] | [
69,
58
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68,
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Mathlib/Data/Set/Basic.lean | Set.nontrivial_of_nontrivial_coe | [] | [
2596,
55
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2595,
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Mathlib/FieldTheory/Subfield.lean | Subfield.neg_mem | [] | [
270,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Lie/Nilpotent.lean | LieEquiv.nilpotent_iff_equiv_nilpotent | [
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Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.incl_apply | [] | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev.lean | Polynomial.Chebyshev.U_complex_cos | [
{
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.indicatorConstLp_coeFn | [] | [
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Mathlib/RingTheory/Localization/Submodule.lean | IsFractionRing.coeSubmodule_strictMono | [] | [
202,
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Mathlib/Data/List/Sigma.lean | List.of_mem_dlookup | [
{
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213,
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Mathlib/Data/Int/Basic.lean | Int.nat_succ_eq_int_succ | [] | [
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Mathlib/Data/Set/Basic.lean | Set.insert_inter_distrib | [] | [
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Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.toAddSubmonoid_mono | [] | [
262,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasurableEmbedding.memℒp_map_measure_iff | [
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Mathlib/Data/Matrix/Basic.lean | Matrix.mul_apply' | [] | [
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Mathlib/Analysis/Normed/Group/AddCircle.lean | AddCircle.norm_half_period_eq | [
{
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{
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Mathlib/Topology/Instances/ENNReal.lean | NNReal.hasSum_lt | [
{
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.op_norm_le_of_nhds_zero | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.WSameSide.not_sOppSide | [
{
"state_after": "R : Type u_1\nV : Type u_2\nV' : Type ?u.320253\nP : Type u_3\nP' : Type ?u.320259\ninst✝⁶ : LinearOrderedField R\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module R V\ninst✝³ : AddTorsor V P\ninst✝² : AddCommGroup V'\ninst✝¹ : Module R V'\ninst✝ : AddTorsor V' P'\ns : AffineSubspace R P\nx y : P\nh :... | [
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Mathlib/Order/Directed.lean | directedOn_range | [
{
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Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.quotient_map_mkₐ | [] | [
445,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/GroupTheory/Nilpotent.lean | isNilpotent_pi_of_bounded_class | [
{
"state_after": "G : Type ?u.339405\ninst✝³ : Group G\nH : Subgroup G\ninst✝² : Normal H\nη : Type u_2\nGs : η → Type u_1\ninst✝¹ : (i : η) → Group (Gs i)\ninst✝ : ∀ (i : η), Group.IsNilpotent (Gs i)\nn : ℕ\nh : ∀ (i : η), nilpotencyClass (Gs i) ≤ n\n⊢ ∃ n, lowerCentralSeries ((i : η) → Gs i) n = ⊥",
"stat... | [
777,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Regular/Basic.lean | IsLeftRegular.of_mul | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝ : Semigroup R\na b : R\nab : IsLeftRegular (a * b)\n⊢ Function.Injective (?m.3539 ab ∘ fun x => b * x)",
"tactic": "rwa [comp_mul_left a b]"
}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
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Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.zero_eq_zero | [] | [
255,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
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Mathlib/Topology/Algebra/Order/MonotoneConvergence.lean | iInf_eq_of_tendsto | [] | [
313,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
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Mathlib/Data/Set/Prod.lean | Set.univ_prod_univ | [
{
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Mathlib/Data/Multiset/Basic.lean | Multiset.coe_subsingletonEquiv | [] | [
3087,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3085,
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Mathlib/Data/Seq/Computation.lean | Computation.terminates_iff | [] | [
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Mathlib/CategoryTheory/Preadditive/Opposite.lean | CategoryTheory.unop_sum | [] | [
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28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Order/LatticeGroup.lean | inv_inf_eq_sup_inv | [] | [
110,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
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Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasurableEmbedding.aestronglyMeasurable_map_iff | [
{
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Mathlib/Analysis/Calculus/LHopital.lean | HasDerivAt.lhopital_zero_nhds | [
{
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Mathlib/Data/Matrix/Block.lean | Matrix.blockDiag'_smul | [] | [
912,
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Mathlib/Topology/Order/Basic.lean | continuous_if_le | [
{
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.coe_inv_of_nonzero | [
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Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineMap.vsub_lineMap | [] | [
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643,
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Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.cokernel.π_desc | [] | [
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Mathlib/Algebra/Order/AbsoluteValue.lean | AbsoluteValue.ne_zero | [] | [
136,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
11
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Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.colimit.homIso_hom | [] | [
860,
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Mathlib/Algebra/Order/Floor.lean | Int.preimage_floor_singleton | [] | [
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Mathlib/Order/Filter/Basic.lean | Filter.EventuallyLE.union | [] | [
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Mathlib/Algebra/Algebra/Bilinear.lean | LinearMap.mulLeft_one | [
{
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211,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
] |
Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.functor_unit_comp | [] | [
156,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
] |
Mathlib/Analysis/Convex/Gauge.lean | gauge_neg | [
{
"state_after": "𝕜 : Type ?u.36600\nE : Type u_1\nF : Type ?u.36606\ninst✝¹ : AddCommGroup E\ninst✝ : Module ℝ E\ns t : Set E\na : ℝ\nsymmetric : ∀ (x : E), x ∈ s → -x ∈ s\nx : E\nthis : ∀ (x : E), -x ∈ s ↔ x ∈ s\n⊢ gauge s (-x) = gauge s x",
"state_before": "𝕜 : Type ?u.36600\nE : Type u_1\nF : Type ?u.... | [
138,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/Data/Nat/Choose/Basic.lean | Nat.multichoose_zero_succ | [
{
"state_after": "no goals",
"state_before": "k : ℕ\n⊢ multichoose 0 (k + 1) = 0",
"tactic": "simp [multichoose]"
}
] | [
368,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
368,
1
] |
Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.coe_mul_interval | [] | [
195,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
194,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.coe_centralizer | [] | [
762,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
761,
1
] |
Mathlib/Order/Synonym.lean | ofLex_toLex | [] | [
193,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/CategoryTheory/Limits/ConeCategory.lean | CategoryTheory.Limits.IsLimit.liftConeMorphism_eq_isTerminal_from | [] | [
109,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.ofReal_im | [] | [
123,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Std/Data/List/Init/Lemmas.lean | List.headD_nil | [] | [
26,
58
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
26,
14
] |
Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.map_sup | [] | [
331,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.cancel_of_lt | [] | [
1070,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1069,
1
] |
Mathlib/MeasureTheory/Measure/AEMeasurable.lean | aemeasurable_iUnion_iff | [] | [
142,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
] |
Mathlib/Logic/Function/Basic.lean | Function.Surjective.exists₂ | [] | [
218,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
11
] |
Mathlib/Logic/Function/Basic.lean | Function.Injective2.left' | [] | [
946,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
944,
1
] |
Mathlib/Data/Real/Hyperreal.lean | Hyperreal.isSt_trans_real | [
{
"state_after": "r s t : ℝ\n⊢ r = s → s = t → r = t",
"state_before": "r s t : ℝ\n⊢ IsSt (↑r) s → IsSt (↑s) t → IsSt (↑r) t",
"tactic": "rw [isSt_real_iff_eq, isSt_real_iff_eq, isSt_real_iff_eq]"
},
{
"state_after": "no goals",
"state_before": "r s t : ℝ\n⊢ r = s → s = t → r = t",
"tact... | [
380,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
379,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | nhdsWithin_extChartAt_target_eq | [] | [
1127,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1125,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.Nonempty.of_vsub_right | [] | [
1500,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1499,
1
] |
Mathlib/Algebra/Order/Invertible.lean | invOf_lt_zero | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : LinearOrderedSemiring α\na : α\ninst✝ : Invertible a\n⊢ ⅟a < 0 ↔ a < 0",
"tactic": "simp only [← not_le, invOf_nonneg]"
}
] | [
38,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.Relabelling.mk_rightMovesEquiv | [] | [
1059,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1058,
1
] |
Mathlib/RingTheory/HahnSeries.lean | HahnSeries.mem_support | [] | [
107,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Algebra/Order/Field/Basic.lean | div_lt_iff_of_neg' | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.147504\nα : Type u_1\nβ : Type ?u.147510\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\nhc : c < 0\n⊢ b / c < a ↔ c * a < b",
"tactic": "rw [mul_comm, div_lt_iff_of_neg hc]"
}
] | [
741,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
740,
1
] |
Mathlib/Order/Chain.lean | IsChain.directedOn | [] | [
119,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | spanPoints_nonempty | [
{
"state_after": "case mp\nk : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝³ : Ring k\ninst✝² : AddCommGroup V\ninst✝¹ : Module k V\ninst✝ : AffineSpace V P\ns : Set P\n⊢ Set.Nonempty (spanPoints k s) → Set.Nonempty s\n\ncase mpr\nk : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝³ : Ring k\ninst✝² : AddCommGroup V... | [
127,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Finset.coe_infsep_of_offDiag_nonempty | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.76474\ninst✝¹ : PseudoMetricSpace α\nx y z : α\ns✝ t : Set α\ninst✝ : DecidableEq α\ns : Finset α\nhs : Finset.Nonempty (Finset.offDiag s)\n⊢ infsep ↑s = Finset.inf' (Finset.offDiag s) hs (uncurry dist)",
"tactic": "rw [Finset.coe_i... | [
511,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
509,
1
] |
Mathlib/Combinatorics/SetFamily/Shadow.lean | Finset.mem_upShadow_iff_exists_mem_card_add | [
{
"state_after": "case zero\nα : Type u_1\ninst✝¹ : DecidableEq α\ninst✝ : Fintype α\n𝒜✝ : Finset (Finset α)\ns✝ t : Finset α\na : α\nk r : ℕ\n𝒜 : Finset (Finset α)\ns : Finset α\n⊢ s ∈ (∂⁺ ^[zero]) 𝒜 ↔ ∃ t, t ∈ 𝒜 ∧ t ⊆ s ∧ card t + zero = card s\n\ncase succ\nα : Type u_1\ninst✝¹ : DecidableEq α\ninst✝ : F... | [
280,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | differentiableOn_empty | [] | [
1124,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1124,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.swap_leftInverse | [] | [
360,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_union_of_disjoint | [] | [
2103,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2101,
1
] |
Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.neg_tmul | [] | [
1244,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1243,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.mk_le_mk | [] | [
437,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
435,
1
] |
Mathlib/Topology/Algebra/Module/FiniteDimension.lean | LinearMap.coe_toContinuousLinearMap' | [] | [
299,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
1
] |
Mathlib/Data/Set/Finite.lean | Set.Finite.inf_of_left | [] | [
753,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
752,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffWithinAt.inv | [] | [
1702,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1700,
1
] |
Mathlib/Algebra/BigOperators/Fin.lean | Fin.prod_const | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.45008\ninst✝ : CommMonoid α\nn : ℕ\nx : α\n⊢ ∏ _i : Fin n, x = x ^ n",
"tactic": "simp"
}
] | [
168,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
168,
1
] |
Mathlib/Order/LatticeIntervals.lean | Set.Ici.coe_top | [] | [
144,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/GroupTheory/Solvable.lean | derivedSeries_one | [] | [
68,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.eval₂_list_sum | [] | [
160,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Order/Heyting/Basic.lean | codisjoint_hnot_hnot_left_iff | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.177652\nα : Type u_1\nβ : Type ?u.177658\ninst✝ : CoheytingAlgebra α\na b c : α\n⊢ Codisjoint (￢￢a) b ↔ Codisjoint a b",
"tactic": "simp_rw [← hnot_le_iff_codisjoint_right, hnot_hnot_hnot]"
}
] | [
1097,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1096,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_erase | [
{
"state_after": "ι : Type ?u.797166\nβ : Type u\nα : Type v\nγ : Type w\ns✝ s₁ s₂ : Finset α\na✝ : α\nf✝ g : α → β\ninst✝¹ : CommMonoid β\ninst✝ : DecidableEq α\ns : Finset α\nf : α → β\na : α\nh : f a = 1\n⊢ ∏ x in s \\ {a}, f x = ∏ x in s, f x",
"state_before": "ι : Type ?u.797166\nβ : Type u\nα : Type v... | [
1677,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1672,
1
] |
Mathlib/Algebra/Lie/Submodule.lean | lie_mem_left | [
{
"state_after": "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\nI : LieIdeal R L\nx y : L\nh : x ∈ I\n⊢ ⁅-y, x⁆ ∈ I",
"state_before": "R : Type u\nL : Ty... | [
235,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.BinaryBicone.toCocone_ι_app_right | [] | [
1035,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1034,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Basic.lean | BoxIntegral.Prepartition.filter_le | [] | [
607,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
1
] |
Mathlib/GroupTheory/Nilpotent.lean | lowerCentralSeries_prod | [
{
"state_after": "case zero\nG : Type ?u.325527\ninst✝³ : Group G\nH : Subgroup G\ninst✝² : Normal H\nG₁ : Type u_1\nG₂ : Type u_2\ninst✝¹ : Group G₁\ninst✝ : Group G₂\n⊢ lowerCentralSeries (G₁ × G₂) Nat.zero = prod (lowerCentralSeries G₁ Nat.zero) (lowerCentralSeries G₂ Nat.zero)\n\ncase succ\nG : Type ?u.3255... | [
723,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
711,
1
] |
Mathlib/Algebra/Lie/Nilpotent.lean | LieSubalgebra.isNilpotent_ad_of_isNilpotent_ad | [
{
"state_after": "case intro\nR : Type u\nA : Type v\ninst✝⁴ : CommRing R\ninst✝³ : Ring A\ninst✝² : Algebra R A\nL : Type v\ninst✝¹ : LieRing L\ninst✝ : LieAlgebra R L\nK : LieSubalgebra R L\nx : { x // x ∈ K }\nn : ℕ\nhn : ↑(LieAlgebra.ad R L) ↑x ^ n = 0\n⊢ IsNilpotent (↑(LieAlgebra.ad R { x // x ∈ K }) x)",
... | [
742,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
737,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.BinaryBicone.toCocone_ι_app_left | [] | [
1030,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1029,
1
] |
Mathlib/Algebra/Order/AbsoluteValue.lean | AbsoluteValue.map_one | [] | [
182,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
11
] |
Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean | GromovHausdorff.HD_lipschitz_aux2 | [
{
"state_after": "case intro\nX : Type u\nY : Type v\ninst✝⁵ : MetricSpace X\ninst✝⁴ : CompactSpace X\ninst✝³ : Nonempty X\ninst✝² : MetricSpace Y\ninst✝¹ : CompactSpace Y\ninst✝ : Nonempty Y\nf✝ : GromovHausdorff.ProdSpaceFun X Y\nx y z t : X ⊕ Y\nf g : GromovHausdorff.Cb X Y\ncg : ℝ\nhcg : cg ∈ lowerBounds (r... | [
405,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
379,
9
] |
Mathlib/Order/Monotone/Monovary.lean | Antivary.comp_antitone_left | [] | [
176,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
] |
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