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/Deprecated/Subgroup.lean | IsGroupHom.mem_ker | [] | [
339,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
338,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | HasFTaylorSeriesUpToOn.exists_lipschitzOnWith_of_nnnorm_lt | [
{
"state_after": "𝕜 : Type ?u.2904330\ninst✝¹⁹ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝¹⁸ : NormedAddCommGroup D\ninst✝¹⁷ : NormedSpace 𝕜 D\nE✝ : Type uE\ninst✝¹⁶ : NormedAddCommGroup E✝\ninst✝¹⁵ : NormedSpace 𝕜 E✝\nF✝ : Type uF\ninst✝¹⁴ : NormedAddCommGroup F✝\ninst✝¹³ : NormedSpace 𝕜 F✝\nG : Type ... | [
2006,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1992,
1
] |
Mathlib/Data/Finset/Sigma.lean | Finset.inf_sigma | [] | [
112,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Algebra/Homology/HomologicalComplex.lean | ChainComplex.prev | [] | [
119,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Data/Finset/Fold.lean | Finset.fold_insert_idem | [
{
"state_after": "case pos\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.19798\nop : β → β → β\nhc : IsCommutative β op\nha : IsAssociative β op\nf : α → β\nb : β\ns : Finset α\na : α\ninst✝ : DecidableEq α\nhi : IsIdempotent β op\nh : a ∈ s\n⊢ fold op b f (insert a s) = op (f a) (fold op b f s)\n\ncase neg\nα : Typ... | [
128,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/CategoryTheory/Sites/Sheaf.lean | CategoryTheory.Presheaf.isSeparated_iff_subsingleton | [] | [
187,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
183,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.leRecOn_injective | [
{
"state_after": "case refl\nm✝ n✝ k : ℕ\nC : ℕ → Sort u\nn m : ℕ\nnext : {k : ℕ} → C k → C (k + 1)\nHnext : ∀ (n : ℕ), Function.Injective next\n⊢ Function.Injective (leRecOn (_ : Nat.le n n) fun {k} => next)\n\ncase step\nm✝¹ n✝ k : ℕ\nC : ℕ → Sort u\nn m✝ : ℕ\nnext : {k : ℕ} → C k → C (k + 1)\nHnext : ∀ (n : ... | [
442,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
433,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sdiff_sdiff_self_left | [] | [
2326,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2325,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ideal.mem_span_insert | [] | [
168,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/LinearAlgebra/FiniteDimensional.lean | coe_basisOfLinearIndependentOfCardEqFinrank | [] | [
1200,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1197,
1
] |
Mathlib/Logic/Nontrivial.lean | not_subsingleton | [] | [
127,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.choose_property | [] | [
3716,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3715,
1
] |
Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.coe_add | [] | [
304,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
303,
1
] |
Mathlib/Order/Bounds/Basic.lean | IsLeast.bddBelow | [] | [
345,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
1
] |
Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.derivBFamily_eq_derivFamily | [] | [
361,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/RingTheory/TensorProduct.lean | Algebra.TensorProduct.assoc_aux_1 | [] | [
828,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
824,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.surjOn_logb' | [
{
"state_after": "b x✝ y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nx : ℝ\na✝ : x ∈ univ\n⊢ x ∈ logb b '' Iio 0",
"state_before": "b x y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\n⊢ SurjOn (logb b) (Iio 0) univ",
"tactic": "intro x _"
},
{
"state_after": "b x✝ y : ℝ\nb_pos : 0 < b\nb_ne_one : b ≠ 1\nx : ℝ... | [
133,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | SeminormFamily.basisSets_intersect | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_2\n𝕜₂ : Type ?u.22222\n𝕝 : Type ?u.22225\n𝕝₂ : Type ?u.22228\nE : Type u_1\nF : Type ?u.22234\nG : Type ?u.22237\nι : Type u_3\nι' : Type ?u.22243\ninst✝² : NormedField 𝕜\ninst✝¹ : AddCommGroup E\ninst✝ : Module 𝕜 E\np : SeminormFamily 𝕜 E ι\nU... | [
115,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
101,
1
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Mathlib/GroupTheory/GroupAction/Embedding.lean | Function.Embedding.smul_def | [] | [
37,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
35,
1
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Mathlib/Order/Filter/Extr.lean | IsMaxOn.max | [] | [
627,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
625,
1
] |
Mathlib/LinearAlgebra/FiniteDimensional.lean | Submodule.finrank_lt | [
{
"state_after": "K : Type u\nV : Type v\ninst✝³ : DivisionRing K\ninst✝² : AddCommGroup V\ninst✝¹ : Module K V\ninst✝ : FiniteDimensional K V\ns : Submodule K V\nh : s < ⊤\n⊢ finrank K { x // x ∈ s } < finrank K { x // x ∈ s } + finrank K (V ⧸ s)",
"state_before": "K : Type u\nV : Type v\ninst✝³ : Division... | [
772,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
769,
1
] |
Mathlib/Algebra/Hom/Centroid.lean | CentroidHom.copy_eq | [] | [
161,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.IsSubordinate.disjUnion | [
{
"state_after": "case refine'_1\nι : Type u_1\nI J✝ : Box ι\nπ π₁ π₂ : TaggedPrepartition I\nx : ι → ℝ\nr r₁ r₂ : (ι → ℝ) → ↑(Ioi 0)\ninst✝ : Fintype ι\nh₁ : IsSubordinate π₁ r\nh₂ : IsSubordinate π₂ r\nh : Disjoint (iUnion π₁) (iUnion π₂)\nJ : Box ι\nhJ✝ : J ∈ TaggedPrepartition.disjUnion π₁ π₂ h\nhJ : J ∈ π₁... | [
389,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
383,
1
] |
src/lean/Init/Data/AC.lean | Lean.Data.AC.Context.eval_norm | [
{
"state_after": "α : Sort u_1\nctx : Context α\ne : Expr\n⊢ evalList α ctx\n (if ContextInformation.isIdem ctx = true then\n mergeIdem\n (if ContextInformation.isComm ctx = true then sort (removeNeutrals ctx (Expr.toList e))\n else removeNeutrals ctx (Expr.toList e))\n else\n... | [
315,
102
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
312,
1
] |
Mathlib/Analysis/Seminorm.lean | Seminorm.finset_sup_apply_lt | [
{
"state_after": "case intro\nR : Type ?u.528629\nR' : Type ?u.528632\n𝕜 : Type u_1\n𝕜₂ : Type ?u.528638\n𝕜₃ : Type ?u.528641\n𝕝 : Type ?u.528644\nE : Type u_2\nE₂ : Type ?u.528650\nE₃ : Type ?u.528653\nF : Type ?u.528656\nG : Type ?u.528659\nι : Type u_3\ninst✝¹⁸ : SeminormedRing 𝕜\ninst✝¹⁷ : SeminormedRi... | [
422,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
417,
1
] |
Mathlib/Data/Finset/Sups.lean | Finset.Nonempty.of_disjSups_right | [
{
"state_after": "α : Type u_1\ninst✝³ : DecidableEq α\ninst✝² : SemilatticeSup α\ninst✝¹ : OrderBot α\ninst✝ : DecidableRel Disjoint\ns s₁ s₂ t t₁ t₂ u : Finset α\na b c : α\n⊢ (∃ x a, a ∈ s ∧ ∃ b, b ∈ t ∧ Disjoint a b ∧ a ⊔ b = x) → ∃ x, x ∈ t",
"state_before": "α : Type u_1\ninst✝³ : DecidableEq α\ninst✝... | [
486,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
484,
1
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.deleteEdges_sdiff_eq_of_le | [
{
"state_after": "case Adj.h.h.a\nι : Sort ?u.161200\n𝕜 : Type ?u.161203\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v✝ w✝ : V\ne : Sym2 V\nH : SimpleGraph V\nh : H ≤ G\nv w : V\n⊢ Adj (deleteEdges G (edgeSet G \\ edgeSet H)) v w ↔ Adj H v w",
"state_before": "ι : So... | [
1170,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1167,
1
] |
Mathlib/Logic/Function/Basic.lean | Function.const_def | [] | [
40,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
39,
1
] |
Mathlib/Order/Compare.lean | Ordering.Compares.eq_lt | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.6425\ninst✝ : Preorder α\na b : α\nh✝ : Compares eq a b\nh : eq = lt\n⊢ a < b",
"tactic": "injection h"
},
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.6425\ninst✝ : Preorder α\na b : α\nh✝ : C... | [
88,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
1
] |
Mathlib/Combinatorics/Pigeonhole.lean | Fintype.exists_card_fiber_le_of_card_le_mul | [] | [
454,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
Mathlib/CategoryTheory/Preadditive/Projective.lean | CategoryTheory.Adjunction.map_projective | [
{
"state_after": "case intro\nC : Type u\ninst✝² : Category C\nD : Type u'\ninst✝¹ : Category D\nF : C ⥤ D\nG : D ⥤ C\nadj : F ⊣ G\ninst✝ : Functor.PreservesEpimorphisms G\nP : C\nhP : Projective P\nE✝ X✝ : D\nf : F.obj P ⟶ X✝\ng : E✝ ⟶ X✝\nx✝ : Epi g\nf' : P ⟶ G.obj E✝\nhf' : f' ≫ G.map g = adj.unit.app P ≫ G.... | [
214,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/Data/Quot.lean | Quotient.map₂'_mk'' | [] | [
762,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
759,
1
] |
Mathlib/Data/List/BigOperators/Basic.lean | List.length_pos_of_prod_ne_one | [
{
"state_after": "case nil\nι : Type ?u.58476\nα : Type ?u.58479\nM : Type u_1\nN : Type ?u.58485\nP : Type ?u.58488\nM₀ : Type ?u.58491\nG : Type ?u.58494\nR : Type ?u.58497\ninst✝² : Monoid M\ninst✝¹ : Monoid N\ninst✝ : Monoid P\nl l₁ l₂ : List M\na : M\nh : prod [] ≠ 1\n⊢ 0 < length []\n\ncase cons\nι : Type... | [
193,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/Algebra/Category/ModuleCat/Basic.lean | ModuleCat.coe_comp | [] | [
241,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Mathlib/Init/Logic.lean | and_true_iff | [] | [
142,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
] |
Mathlib/RingTheory/FiniteType.lean | AlgHom.Finite.finiteType | [] | [
287,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
1
] |
Mathlib/Data/Int/Bitwise.lean | Int.bodd_add | [
{
"state_after": "case negSucc.negSucc\nm n : ℕ\n⊢ Nat.bodd (Nat.succ (m + n) + 1) = Nat.bodd (m + 1 + (n + 1))",
"state_before": "m n : ℤ\n⊢ bodd (m + n) = xor (bodd m) (bodd n)",
"tactic": "cases' m with m m <;>\ncases' n with n n <;>\nsimp only [ofNat_eq_coe, ofNat_add_negSucc, negSucc_add_ofNat,\n ... | [
83,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.isPell_norm | [
{
"state_after": "d x y : ℤ\n⊢ x * x - y * (d * y) = 1 ↔ x * x + -(y * (d * y)) = 1",
"state_before": "d x y : ℤ\n⊢ IsPell { re := x, im := y } ↔ { re := x, im := y } * star { re := x, im := y } = 1",
"tactic": "simp [Zsqrtd.ext, IsPell, mul_comm]"
},
{
"state_after": "no goals",
"state_befo... | [
73,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/Algebra/Algebra/Basic.lean | algebraMap.coe_mul | [] | [
164,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.FinStronglyMeasurable.aefinStronglyMeasurable | [] | [
999,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
997,
1
] |
Mathlib/Data/Set/Function.lean | Set.MapsTo.iterate_restrict | [
{
"state_after": "case h\nα : Type u_1\nβ : Type ?u.18768\nγ : Type ?u.18771\nι : Sort ?u.18774\nπ : α → Type ?u.18779\ns✝ s₁ s₂ : Set α\nt t₁ t₂ : Set β\np : Set γ\nf✝ f₁ f₂ f₃ : α → β\ng g₁ g₂ : β → γ\nf' f₁' f₂' : β → α\ng' : γ → β\na : α\nb : β\nf : α → α\ns : Set α\nh : MapsTo f s s\nn : ℕ\nx : ↑s\n⊢ (rest... | [
441,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
435,
1
] |
Mathlib/Topology/Homotopy/HomotopyGroup.lean | homotopic_genLoopZeroEquiv_symm_iff | [
{
"state_after": "X : Type u\ninst✝ : TopologicalSpace X\nn : ℕ\nx a b : X\n⊢ Homotopic (↑genLoopZeroEquiv.symm a).toContinuousMap (↑genLoopZeroEquiv.symm b).toContinuousMap ↔ Joined a b",
"state_before": "X : Type u\ninst✝ : TopologicalSpace X\nn : ℕ\nx a b : X\n⊢ GenLoop.Homotopic (↑genLoopZeroEquiv.symm ... | [
235,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
232,
1
] |
Mathlib/Algebra/Star/Subalgebra.lean | Subalgebra.starClosure_eq_adjoin | [] | [
488,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
485,
1
] |
Mathlib/Data/Num/Lemmas.lean | ZNum.neg_of_int | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.1055224\n⊢ ↑(-0) = -↑0",
"tactic": "rw [Int.cast_neg, Int.cast_zero]"
}
] | [
1532,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1529,
1
] |
Mathlib/Logic/Function/Iterate.lean | Function.iterate_one | [] | [
79,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
] |
Mathlib/Order/Cover.lean | densely_ordered_iff_forall_not_covby | [] | [
247,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
1
] |
Mathlib/Analysis/InnerProductSpace/l2Space.lean | OrthonormalBasis.coe_toHilbertBasis | [] | [
589,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
587,
1
] |
Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.biprod.total | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\ninst✝² : Preadditive C\nJ : Type\ninst✝¹ : Fintype J\nX Y : C\ninst✝ : HasBinaryBiproduct X Y\n⊢ fst ≫ inl + snd ≫ inr = 𝟙 (X ⊞ Y)",
"tactic": "ext <;> simp [add_comp]"
}
] | [
451,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
450,
1
] |
Mathlib/Analysis/Calculus/Deriv/Mul.lean | deriv_mul_const_field' | [] | [
246,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
1
] |
Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.Integrable.simpleFunc_mul | [
{
"state_after": "α : Type ?u.5134274\nβ : Type u_1\nE : Type ?u.5134280\nF : Type ?u.5134283\ninst✝¹ : MeasurableSpace α\nι : Type ?u.5134289\ninst✝ : NormedAddCommGroup E\nf : β → ℝ\nm m0 : MeasurableSpace β\nμ : Measure β\ng : SimpleFunc β ℝ\nhf : Integrable f\nc : ℝ\ns : Set β\nhs : MeasurableSet s\n⊢ Integ... | [
1339,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1323,
1
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Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.lintegral_tendsto_of_monotone_of_nat | [] | [
366,
47
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357,
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Mathlib/Algebra/Group/Commute.lean | inv_mul_cancel_comm | [] | [
424,
35
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423,
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Mathlib/Algebra/Free.lean | FreeSemigroup.length_map | [
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Mathlib/GroupTheory/Perm/Sign.lean | Equiv.Perm.perm_inv_on_of_perm_on_finset | [
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Mathlib/Analysis/SpecialFunctions/Exponential.lean | hasStrictFDerivAt_exp_zero_of_radius_pos | [
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigOWith_abs_left | [] | [
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Mathlib/Data/Matrix/Basic.lean | Matrix.updateColumn_subsingleton | [
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Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.isWeightedHomogeneous_of_total_degree_zero | [
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Mathlib/Data/Set/Lattice.lean | Set.iInter_eq_compl_iUnion_compl | [
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Mathlib/LinearAlgebra/Prod.lean | LinearEquiv.prod_apply | [] | [
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Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean | ModuleCat.MonoidalCategory.associator_inv_apply | [] | [
255,
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Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.coe_sub | [] | [
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40
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Mathlib/Logic/Basic.lean | of_not_not | [] | [
251,
42
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Mathlib/Algebra/Star/Basic.lean | Ring.inverse_star | [
{
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571,
93
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Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.Prepartition.iUnion_biUnionTagged | [] | [
152,
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150,
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Mathlib/Analysis/Convex/StrictConvexSpace.lean | not_sameRay_iff_abs_lt_norm_sub | [] | [
232,
92
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231,
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Mathlib/Combinatorics/Additive/SalemSpencer.lean | addSalemSpencer_sphere | [
{
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Mathlib/RingTheory/WittVector/IsPoly.lean | WittVector.IsPoly.ext | [
{
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Mathlib/Algebra/Group/Basic.lean | mul_left_surjective | [] | [
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Mathlib/Topology/Order/Basic.lean | mem_nhds_iff_exists_Ioo_subset' | [
{
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Mathlib/Dynamics/Ergodic/MeasurePreserving.lean | Measurable.measurePreserving | [] | [
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Mathlib/Data/Int/Bitwise.lean | Int.bodd_two | [] | [
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Mathlib/Data/Finsupp/NeLocus.lean | Finsupp.neLocus_self_add_left | [
{
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168,
44
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167,
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Mathlib/Order/Basic.lean | max_rec' | [] | [
953,
34
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952,
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Mathlib/Analysis/Convex/Basic.lean | Convex.add_smul_mem | [
{
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Mathlib/ModelTheory/Types.lean | FirstOrder.Language.Theory.CompleteType.isMaximal | [] | [
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15
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Mathlib/LinearAlgebra/UnitaryGroup.lean | Matrix.mem_orthogonalGroup_iff | [
{
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222,
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219,
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Mathlib/Data/Complex/Basic.lean | Complex.ofReal_bit1 | [
{
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237,
30
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236,
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Mathlib/LinearAlgebra/Span.lean | Submodule.span_eq_bot | [] | [
529,
51
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526,
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Mathlib/Order/LiminfLimsup.lean | Filter.frequently_lt_of_lt_limsSup | [
{
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1109,
30
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1104,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.FiniteAtFilter.mono | [] | [
4134,
46
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4133,
11
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Std/Data/String/Lemmas.lean | String.ext_iff | [] | [
18,
90
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18,
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Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.coprod.map_swap | [
{
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] | [
892,
97
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890,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.sInf_caratheodory | [
{
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1016,
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1003,
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Mathlib/Algebra/BigOperators/Intervals.lean | Finset.sum_range_by_parts | [
{
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319,
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313,
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_inter_mulSupport | [
{
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551,
71
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549,
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Mathlib/Data/Multiset/LocallyFinite.lean | Multiset.left_mem_Icc | [] | [
118,
22
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117,
1
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Mathlib/Data/List/Basic.lean | List.drop_take | [
{
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{
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2262,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2257,
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Mathlib/Algebra/Order/Kleene.lean | kstar_mul_le_kstar | [] | [
211,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
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Mathlib/Topology/Spectral/Hom.lean | SpectralMap.cancel_right | [] | [
219,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.continuousAt_iff_continuousAt_comp_left | [
{
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1182,
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Mathlib/Order/Filter/Partial.lean | Filter.ptendsto_of_ptendsto' | [
{
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278,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
275,
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Mathlib/Analysis/Calculus/Deriv/Inv.lean | Differentiable.inv | [] | [
164,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
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Mathlib/RingTheory/Derivation/Basic.lean | Derivation.leibniz_invOf | [] | [
410,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
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Mathlib/MeasureTheory/Function/L2Space.lean | integral_inner | [] | [
100,
58
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98,
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Mathlib/Tactic/NormNum/Basic.lean | Mathlib.Meta.NormNum.isRat_inv_neg | [
{
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510,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
503,
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Mathlib/Order/Interval.lean | NonemptyInterval.snd_dual | [] | [
118,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Topology/Order.lean | isOpen_iff_continuous_mem | [] | [
927,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
926,
1
] |
Mathlib/Data/Nat/Bitwise.lean | Nat.land'_zero | [
{
"state_after": "no goals",
"state_before": "n : ℕ\n⊢ land' n 0 = 0",
"tactic": "simp [land']"
}
] | [
203,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/LinearAlgebra/AffineSpace/MidpointZero.lean | homothety_invOf_two | [] | [
40,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
37,
1
] |
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