file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/Topology/UniformSpace/CompactConvergence.lean | ContinuousMap.tendsto_iff_forall_compact_tendstoUniformlyOn' | [
{
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204,
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196,
1
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Mathlib/Data/Finset/Prod.lean | Finset.coe_product | [] | [
67,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
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Mathlib/Order/Filter/Lift.lean | Filter.lift_lift'_same_le_lift' | [] | [
363,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
361,
1
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Mathlib/Topology/MetricSpace/ThickenedIndicator.lean | thickenedIndicatorAux_le_one | [
{
"state_after": "no goals",
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"tactic": "apply @tsub_le_self _ _ _ _ (1 : ℝ≥0∞)"
}
] | [
74,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.liminf_ae_eq_of_forall_ae_eq | [
{
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635,
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625,
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.Hom.map_mem_edgeSet | [] | [
1690,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1689,
1
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src/lean/Init/Control/Lawful.lean | ReaderT.run_read | [] | [
201,
104
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
201,
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Mathlib/Algebra/Star/SelfAdjoint.lean | IsSelfAdjoint.star_iff | [
{
"state_after": "no goals",
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"tactic": "simpa only [IsSelfAdjoint, star_star] using eq_comm"
}
] | [
84,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
83,
1
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Mathlib/RingTheory/Valuation/Quotient.lean | AddValuation.onQuot_comap_eq | [] | [
112,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
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Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.biproduct.desc_eq | [
{
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"state_before": "C : Type u\ninst✝³ : Category ... | [
225,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
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Mathlib/Data/Set/Image.lean | Set.compl_image_set_of | [] | [
534,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
533,
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Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean | AlgebraicTopology.DoldKan.Γ₀.Obj.map_epi_on_summand_id | [
{
"state_after": "no goals",
"state_before": "C : Type u_2\ninst✝³ : Category C\ninst✝² : Preadditive C\nK K' : ChainComplex C ℕ\nf : K ⟶ K'\nΔ✝ Δ'✝ Δ'' : SimplexCategory\ninst✝¹ : HasFiniteCoproducts C\nΔ Δ' : SimplexCategory\ne : Δ' ⟶ Δ\ninst✝ : Epi e\n⊢ Splitting.ιSummand (splitting K) (Splitting.IndexSe... | [
296,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
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Mathlib/Algebra/Order/Group/Defs.lean | div_lt_self_iff | [
{
"state_after": "no goals",
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"tactic": "simp only [... | [
425,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
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Mathlib/Algebra/Module/LinearMap.lean | LinearMap.id_coe | [] | [
279,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
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Mathlib/Data/Finset/Prod.lean | Finset.mk_mem_product | [] | [
61,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
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] |
Mathlib/Combinatorics/SimpleGraph/StronglyRegular.lean | SimpleGraph.IsSRGWith.card_neighborFinset_union_eq | [
{
"state_after": "V : Type u\ninst✝² : Fintype V\ninst✝¹ : DecidableEq V\nG : SimpleGraph V\ninst✝ : DecidableRel G.Adj\nn k ℓ μ : ℕ\nv w : V\nh : IsSRGWith G n k ℓ μ\n⊢ Finset.card (neighborFinset G v ∪ neighborFinset G w) + Fintype.card ↑(commonNeighbors G v w) =\n 2 * k - Fintype.card ↑(commonNeighbors G ... | [
95,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
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Mathlib/Data/Dfinsupp/Multiset.lean | Multiset.toDfinsupp_apply | [] | [
62,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
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Mathlib/Topology/SubsetProperties.lean | IsCompact.union | [
{
"state_after": "α : Type u\nβ : Type v\nι : Type ?u.35600\nπ : ι → Type ?u.35605\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns t : Set α\nhs : IsCompact s\nht : IsCompact t\n⊢ IsCompact (⋃ (b : Bool), bif b then s else t)",
"state_before": "α : Type u\nβ : Type v\nι : Type ?u.35600\nπ : ι → ... | [
453,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
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Mathlib/Data/Set/Image.lean | Set.apply_rangeSplitting | [] | [
1150,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1149,
1
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Mathlib/MeasureTheory/Integral/Layercake.lean | lintegral_comp_eq_lintegral_meas_lt_mul | [
{
"state_after": "α : Type u_1\ninst✝³ : MeasurableSpace α\nμ✝ : MeasureTheory.Measure α\nβ : Type ?u.997875\ninst✝² : MeasurableSpace β\ninst✝¹ : MeasurableSingletonClass β\nf : α → ℝ\ng : ℝ → ℝ\ns : Set α\nμ : MeasureTheory.Measure α\ninst✝ : SigmaFinite μ\nf_nn : 0 ≤ f\nf_mble : Measurable f\ng_intble : ∀ (t... | [
335,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
327,
1
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Mathlib/Analysis/SpecificLimits/Normed.lean | Real.tendsto_pow_div_factorial_atTop | [] | [
680,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
678,
1
] |
Mathlib/RingTheory/Finiteness.lean | Submodule.fg_iff_addSubmonoid_fg | [
{
"state_after": "no goals",
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"tactic": "simpa [← span_nat_eq_addSubmonoid_clo... | [
62,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.continuousWithinAt | [] | [
689,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
688,
11
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Mathlib/Control/Traversable/Basic.lean | ApplicativeTransformation.id_comp | [] | [
209,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
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Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSpace.measurableSet_bot_iff | [
{
"state_after": "no goals",
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"tactic": "simp (config := { contextual := tru... | [
473,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
463,
1
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Mathlib/GroupTheory/Nilpotent.lean | nilpotent_of_mulEquiv | [] | [
576,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
574,
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Mathlib/GroupTheory/SemidirectProduct.lean | SemidirectProduct.inl_injective | [] | [
129,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Algebra/Hom/Iterate.lean | RingHom.coe_pow | [] | [
128,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.inv_inv_inv | [
{
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585,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
582,
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Mathlib/Data/List/Indexes.lean | List.foldrIdx_eq_foldr_enum | [
{
"state_after": "no goals",
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"tactic": "simp only [foldrIdx, foldrIdxSpec, foldrIdx_eq_foldrIdxSpec, enum]"
}
] | [
236,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
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Mathlib/Algebra/Order/SMul.lean | OrderedSMul.mk'' | [] | [
170,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
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] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm'_measure_zero_of_pos | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nE : Type ?u.946710\nF : Type u_2\nG : Type ?u.946716\nm m0 : MeasurableSpace α\np : ℝ≥0∞\nq : ℝ\nμ ν : Measure α\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : MeasurableSpace α\nf : α → F\nhq_... | [
229,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
228,
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Mathlib/Data/Semiquot.lean | Semiquot.mem_blur' | [] | [
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10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
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Mathlib/Data/Set/Lattice.lean | Set.sInter_subset_of_mem | [] | [
1040,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1039,
1
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Mathlib/Topology/Separation.lean | IsPreconnected.infinite_of_nontrivial | [
{
"state_after": "α : Type u\nβ : Type v\ninst✝¹ : TopologicalSpace α\ninst✝ : T1Space α\ns : Set α\nh : IsPreconnected s\nhs : Set.Nontrivial s\nhf : Set.Finite s\n⊢ Subsingleton ↑s",
"state_before": "α : Type u\nβ : Type v\ninst✝¹ : TopologicalSpace α\ninst✝ : T1Space α\ns : Set α\nh : IsPreconnected s\nh... | [
805,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
801,
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Mathlib/Algebra/Order/Sub/WithTop.lean | WithTop.sub_eq_top_iff | [
{
"state_after": "no goals",
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"tactic": "induction a using recTopCoe <;> induction b using recTopCoe <;>\n simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, coe_ne_top, t... | [
54,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
51,
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] |
Mathlib/Order/LiminfLimsup.lean | Filter.bliminf_sup_le_or_aux_left | [] | [
926,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
925,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.mem_of_subset | [] | [
363,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
] |
Std/Data/HashMap/WF.lean | Std.HashMap.Imp.expand_size | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nsz : Nat\ninst✝ : Hashable α\nbuckets : Bucket α β\n⊢ Nat.sum (List.map (fun x => List.length (AssocList.toList x)) buckets.val.data) +\n Bucket.size (Bucket.mk (Array.size buckets.val * 2)) =\n Bucket.size buckets\n\ncase hs\nα : Type u_1\nβ : Type u_2\nsz ... | [
111,
50
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/RingTheory/SimpleModule.lean | JordanHolderModule.second_iso | [
{
"state_after": "case val\nR : Type u_1\ninst✝⁴ : Ring R\nM : Type u_2\ninst✝³ : AddCommGroup M\ninst✝² : Module R M\nm : Submodule R M\nN : Type ?u.102423\ninst✝¹ : AddCommGroup N\ninst✝ : Module R N\nX Y : Submodule R M\nx✝ : X ⋖ X ⊔ Y\n⊢ ({ x // x ∈ (X, X ⊔ Y).snd } ⧸ Submodule.comap (Submodule.subtype (X, ... | [
230,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_singleton' | [
{
"state_after": "no goals",
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"tactic": "simp only [restrict_singleton, lintegral_s... | [
1453,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1451,
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] |
Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.ofSet_symm | [] | [
668,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
667,
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Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.eq_toLinearMap_symm_comp | [
{
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450,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
446,
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Mathlib/RingTheory/FinitePresentation.lean | RingHom.FiniteType.of_finitePresentation | [] | [
414,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
413,
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Mathlib/Topology/ContinuousOn.lean | continuousWithinAt_snd | [] | [
1287,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1286,
1
] |
Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.single_apply | [] | [
124,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Mathlib/Data/Set/Prod.lean | Set.image_prod_mk_subset_prod_left | [
{
"state_after": "case intro.intro\nα : Type u_2\nβ : Type u_1\nγ : Type ?u.83787\nδ : Type ?u.83790\ns s₁ s₂ : Set α\nt t₁ t₂ : Set β\na✝ : α\nb : β\nhb : b ∈ t\na : α\nha : a ∈ s\n⊢ (fun a => (a, b)) a ∈ s ×ˢ t",
"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.83787\nδ : Type ?u.83790\ns s₁ s₂ : ... | [
340,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
338,
1
] |
Mathlib/MeasureTheory/MeasurableSpace.lean | MeasurableEmbedding.measurable_extend | [
{
"state_after": "case refine'_1\nα : Type u_1\nβ : Type u_2\nγ : Type u_3\nδ : Type ?u.381496\nδ' : Type ?u.381499\nι : Sort uι\ns t u : Set α\nmα : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nf : α → β\ng✝ : β → γ\nhf : MeasurableEmbedding f\ng : α → γ\ng' : β → γ\nhg : Measurabl... | [
1126,
42
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1120,
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.translationNumber_le_of_le_add | [] | [
818,
97
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817,
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Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean | IsClosed.balancedCore | [
{
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Mathlib/Analysis/Convex/Function.lean | ConvexOn.translate_right | [
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286,
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Mathlib/Analysis/Complex/LocallyUniformLimit.lean | Complex.norm_cderiv_lt | [
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.prod_eq_prod_of_nonempty | [
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Mathlib/Order/WithBot.lean | WithBot.bot_ne_coe | [] | [
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Mathlib/Topology/Algebra/Monoid.lean | Filter.TendstoNhdsWithinIio.const_mul | [] | [
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Mathlib/Analysis/Calculus/ContDiff.lean | IsBoundedBilinearMap.contDiff | [
{
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196,
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191,
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.uniformContinuous | [] | [
439,
60
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436,
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Mathlib/Topology/Instances/ENNReal.lean | ContinuousOn.ennreal_mul | [] | [
366,
62
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Std/Data/Nat/Lemmas.lean | Nat.dvd_zero | [
{
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653,
61
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653,
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Mathlib/CategoryTheory/Sites/Grothendieck.lean | CategoryTheory.GrothendieckTopology.covering_iff_covers_id | [
{
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189,
98
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Mathlib/Data/Set/Countable.lean | Set.MapsTo.countable_of_injOn | [] | [
143,
47
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140,
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Mathlib/Data/Pi/Algebra.lean | Sum.elim_div_div | [
{
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483,
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Mathlib/Analysis/NormedSpace/AddTorsor.lean | dist_homothety_center | [
{
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Mathlib/NumberTheory/Padics/RingHoms.lean | PadicInt.ker_toZModPow | [
{
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425,
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409,
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Mathlib/Data/Finset/Lattice.lean | Finset.sup_ite | [] | [
147,
13
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145,
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Mathlib/LinearAlgebra/Basis.lean | Basis.equivFun_symm_apply | [
{
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92
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Mathlib/Algebra/Polynomial/BigOperators.lean | Polynomial.degree_list_prod_le | [
{
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88,
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Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean | RingSubgroupsBasis.hasBasis_nhds | [
{
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182,
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160,
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Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean | CategoryTheory.Limits.Multifork.toPiFork_π_app_one | [] | [
443,
6
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442,
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Mathlib/Data/Nat/Log.lean | Nat.log_of_left_le_one | [] | [
53,
32
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52,
1
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Mathlib/Algebra/Order/Ring/Defs.lean | mul_le_of_one_le_right | [
{
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}
] | [
410,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
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Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.nthRootsFinset_zero | [
{
"state_after": "no goals",
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}
] | [
823,
81
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823,
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Mathlib/Algebra/GroupPower/Lemmas.lean | Commute.cast_int_right | [] | [
1175,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1175,
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Mathlib/Combinatorics/Composition.lean | CompositionAsSet.boundaries_nonempty | [] | [
878,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
877,
1
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.equivalence_join_red | [
{
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{
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453,
85
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449,
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂Hom_zero'_apply | [] | [
1496,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1494,
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Mathlib/RingTheory/Polynomial/Basic.lean | Polynomial.toSubring_one | [
{
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405,
27
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399,
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Mathlib/CategoryTheory/Limits/ConcreteCategory.lean | CategoryTheory.Limits.Concrete.multiequalizerEquiv_apply | [] | [
153,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
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Mathlib/LinearAlgebra/Basis.lean | Basis.prod_apply_inl_fst | [
{
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732,
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726,
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Mathlib/Algebra/Associated.lean | Associates.one_eq_mk_one | [] | [
779,
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778,
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Mathlib/Init/Data/Bool/Lemmas.lean | Bool.bool_eq_false | [] | [
140,
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139,
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Mathlib/Order/Circular.lean | btw_rfl_left | [] | [
307,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
306,
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Mathlib/Data/Set/Finite.lean | Set.card_ne_eq | [
{
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Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.compLinearMap_zero | [
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582,
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577,
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Mathlib/Order/Basic.lean | le_of_forall_ge_of_dense | [] | [
1322,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1318,
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.IsAdjointPair.eq | [] | [
1028,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1027,
1
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Mathlib/Order/Filter/Basic.lean | Filter.EventuallyEq.diff | [] | [
1583,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1581,
1
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.coe_inv | [] | [
883,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
882,
1
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Mathlib/Analysis/Normed/Group/Pointwise.lean | singleton_div_closedBall_one | [
{
"state_after": "no goals",
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}
] | [
187,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
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Mathlib/Analysis/InnerProductSpace/EuclideanDist.lean | Euclidean.ball_subset_closedBall | [] | [
74,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
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Mathlib/Data/List/Forall2.lean | List.forall₂_of_length_eq_of_nthLe | [] | [
181,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
174,
1
] |
Mathlib/Algebra/Order/Sub/Canonical.lean | lt_tsub_iff_right_of_le | [] | [
259,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
1
] |
Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.homIso_hom | [] | [
927,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
925,
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] |
Mathlib/Algebra/Ring/Defs.lean | right_distrib | [] | [
91,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/LinearAlgebra/Orientation.lean | Orientation.someBasis_orientation | [] | [
411,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
] |
Mathlib/Topology/Maps.lean | Embedding.mk' | [] | [
206,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.extend_iUnion_le_tsum_nat | [
{
"state_after": "α : Type u_1\ninst✝ : MeasurableSpace α\nm : (s : Set α) → MeasurableSet s → ℝ≥0∞\nm0 : m ∅ (_ : MeasurableSet ∅) = 0\nmU :\n ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ (i : ℕ), MeasurableSet (f i)),\n Pairwise (Disjoint on f) →\n m (⋃ (i : ℕ), f i) (_ : MeasurableSet (⋃ (b : ℕ), f b)) = ∑' (i : ℕ), m... | [
1581,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1574,
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Mathlib/CategoryTheory/Subterminal.lean | CategoryTheory.IsSubterminal.isIso_diag | [
{
"state_after": "no goals",
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"tactic": "simp"
},
{
"state_after": "C : Type u₁\ninst✝¹ : Category C\nA : C\nhA : ∀ ⦃Z : C⦄ (f g : Z ⟶ A), f = g\ninst✝ : HasB... | [
103,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
] |
Mathlib/Algebra/ModEq.lean | AddCommGroup.self_modEq_zero | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : AddCommGroup α\np a a₁ a₂ b b₁ b₂ c : α\nn : ℕ\nz : ℤ\n⊢ 0 - p = -1 • p",
"tactic": "simp"
}
] | [
109,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.piecewise_eq_of_not_mem | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.296498\nγ : Type ?u.296501\nδ : α → Sort u_2\ns : Finset α\nf g : (i : α) → δ i\ninst✝ : (j : α) → Decidable (j ∈ s)\ni : α\nhi : ¬i ∈ s\n⊢ piecewise s f g i = g i",
"tactic": "simp [piecewise, hi]"
}
] | [
2471,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2470,
1
] |
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