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/Analysis/Calculus/BumpFunctionInner.lean | ContDiffAt.contDiffBump | [] | [
453,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
449,
18
] |
Mathlib/InformationTheory/Hamming.lean | hammingNorm_eq_zero | [] | [
192,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
1
] |
Mathlib/Data/Set/Intervals/ProjIcc.lean | Set.projIcc_right | [] | [
56,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Analysis/NormedSpace/ENorm.lean | ENorm.coeFn_injective | [
{
"state_after": "case mk\n𝕜 : Type u_2\nV : Type u_1\ninst✝² : NormedField 𝕜\ninst✝¹ : AddCommGroup V\ninst✝ : Module 𝕜 V\ne e₂ : ENorm 𝕜 V\ntoFun✝ : V → ℝ≥0∞\neq_zero'✝ : ∀ (x : V), toFun✝ x = 0 → x = 0\nmap_add_le'✝ : ∀ (x y : V), toFun✝ (x + y) ≤ toFun✝ x + toFun✝ y\nmap_smul_le'✝ : ∀ (c : 𝕜) (x : V), ... | [
67,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Order/Max.lean | NoBotOrder.to_noMinOrder | [
{
"state_after": "no goals",
"state_before": "α✝ : Type ?u.3482\nβ : Type ?u.3485\nα : Type u_1\ninst✝¹ : LinearOrder α\ninst✝ : NoBotOrder α\na : α\n⊢ ∃ b, b < a",
"tactic": "simpa [not_le] using exists_not_ge a"
}
] | [
145,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
1
] |
Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Equiv.bijective | [] | [
845,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
844,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.normal_le_normalCore | [] | [
2550,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2548,
1
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Mathlib/Analysis/Convex/Topology.lean | Convex.combo_interior_self_subset_interior | [] | [
136,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
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Mathlib/Data/Multiset/FinsetOps.lean | Multiset.Nodup.ndinsert | [] | [
91,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
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Mathlib/Topology/Semicontinuous.lean | upperSemicontinuous_ciInf | [] | [
1054,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1052,
1
] |
Mathlib/Algebra/Order/WithZero.lean | mul_lt_right₀ | [
{
"state_after": "α : Type u_1\na b c✝ d x y z : α\ninst✝ : LinearOrderedCommGroupWithZero α\nc : α\nhc : c ≠ 0\nh : b * c ≤ a * c\n⊢ b ≤ a",
"state_before": "α : Type u_1\na b c✝ d x y z : α\ninst✝ : LinearOrderedCommGroupWithZero α\nc : α\nh : a < b\nhc : c ≠ 0\n⊢ a * c < b * c",
"tactic": "contrapose... | [
205,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/Analysis/Convex/SimplicialComplex/Basic.lean | Geometry.SimplicialComplex.subset_space | [] | [
96,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
11
] |
Mathlib/Order/WithBot.lean | WithBot.strictMono_map_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.33858\nδ : Type ?u.33861\na b : α\ninst✝¹ : Preorder α\ninst✝ : Preorder β\nf : α → β\n⊢ ((StrictMono fun a => map f ↑a) ∧ ∀ (x : α), map f ⊥ < map f ↑x) ↔ StrictMono f",
"tactic": "simp [StrictMono, bot_lt_coe]"
}
] | [
370,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
368,
1
] |
Mathlib/Topology/MetricSpace/MetrizableUniformity.lean | PseudoMetricSpace.dist_ofPreNNDist_le | [
{
"state_after": "no goals",
"state_before": "X : Type u_1\nd : X → X → ℝ≥0\ndist_self : ∀ (x : X), d x x = 0\ndist_comm : ∀ (x y : X), d x y = d y x\nx y : X\n⊢ sum (zipWith d [x] ([] ++ [y])) = d x y",
"tactic": "simp"
}
] | [
103,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
] |
Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean | ModuleCat.MonoidalCategory.tensor_comp | [
{
"state_after": "case H\nR : Type u\ninst✝ : CommRing R\nX₁ Y₁ Z₁ : ModuleCat R\nX₂ Y₂ Z₂ : ModuleCat R\nf₁ : X₁ ⟶ Y₁\nf₂ : X₂ ⟶ Y₂\ng₁ : Y₁ ⟶ Z₁\ng₂ : Y₂ ⟶ Z₂\n⊢ LinearMap.compr₂ (TensorProduct.mk R ↑X₁ ↑X₂) (tensorHom (f₁ ≫ g₁) (f₂ ≫ g₂)) =\n LinearMap.compr₂ (TensorProduct.mk R ↑X₁ ↑X₂) (tensorHom f₁ f₂ ... | [
77,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.isDiag_smul_one | [] | [
116,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/Data/Real/NNReal.lean | NNReal.coe_sum | [] | [
330,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
329,
1
] |
Mathlib/Analysis/NormedSpace/HahnBanach/Separation.lean | iInter_halfspaces_eq | [
{
"state_after": "𝕜 : Type ?u.130888\nE : Type u_1\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : AddCommGroup E\ninst✝³ : TopologicalAddGroup E\ninst✝² : Module ℝ E\ninst✝¹ : ContinuousSMul ℝ E\ns t : Set E\nx y : E\ninst✝ : LocallyConvexSpace ℝ E\nhs₁ : Convex ℝ s\nhs₂ : IsClosed s\n⊢ {x | ∀ (i : E →L[ℝ] ℝ), ∃ y, y ... | [
215,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk'_def | [] | [
150,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
] |
Mathlib/Order/Heyting/Basic.lean | toDual_hnot | [] | [
1147,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1146,
1
] |
Mathlib/Data/Polynomial/Div.lean | Polynomial.rootMultiplicity_pos' | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : CommRing R\np✝ q p : R[X]\nx : R\n⊢ 0 < rootMultiplicity x p ↔ p ≠ 0 ∧ IsRoot p x",
"tactic": "rw [pos_iff_ne_zero, Ne.def, rootMultiplicity_eq_zero_iff, not_imp, and_comm]"
}
] | [
574,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
573,
1
] |
Mathlib/NumberTheory/Padics/PadicIntegers.lean | PadicInt.norm_p | [] | [
312,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | HomogeneousIdeal.toIdeal_sSup | [] | [
385,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
384,
1
] |
Mathlib/Data/List/Forall2.lean | List.forall₂_nil_right_iff | [
{
"state_after": "case nil\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.15064\nδ : Type ?u.15067\nR S : α → β → Prop\nP : γ → δ → Prop\nRₐ : α → α → Prop\n⊢ [] = []",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.15064\nδ : Type ?u.15067\nR S : α → β → Prop\nP : γ → δ → Prop\nRₐ : α → α → Prop\nl : L... | [
87,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
1
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_smul_measure_of_ne_zero | [
{
"state_after": "case pos\nα : Type u_1\nE : Type ?u.2146317\nF : Type u_2\nG : Type ?u.2146323\nm m0 : MeasurableSpace α\np✝ : ℝ≥0∞\nq : ℝ\nμ ν : Measure α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedAddCommGroup G\np : ℝ≥0∞\nf : α → F\nc : ℝ≥0∞\nhc : c ≠ 0\nhp0 : p = 0\n⊢ sno... | [
631,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
625,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.valMinAbs_natCast_eq_self | [
{
"state_after": "n a : ℕ\ninst✝ : NeZero n\nha : valMinAbs ↑a = ↑a\n⊢ a ≤ n / 2",
"state_before": "n a : ℕ\ninst✝ : NeZero n\n⊢ valMinAbs ↑a = ↑a ↔ a ≤ n / 2",
"tactic": "refine' ⟨fun ha => _, valMinAbs_natCast_of_le_half⟩"
},
{
"state_after": "n a : ℕ\ninst✝ : NeZero n\nha : valMinAbs ↑a = ↑a\... | [
1087,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1084,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | Real.deriv_rpow_const' | [] | [
369,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
367,
1
] |
Mathlib/Data/List/Infix.lean | List.inits_eq_tails | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.42454\nl l₁ l₂ l₃ : List α\na b : α\nm n : ℕ\n⊢ inits [] = reverse (map reverse (tails (reverse [])))",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.42454\nl✝ l₁ l₂ l₃ : Lis... | [
397,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
] |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.continuous_infEdist | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.10627\nα : Type u\nβ : Type v\ninst✝¹ : PseudoEMetricSpace α\ninst✝ : PseudoEMetricSpace β\nx y : α\ns t : Set α\nΦ : α → β\n⊢ 1 ≠ ⊤",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.10627\nα : Type u\nβ ... | [
131,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | AEMeasurable.ennreal_toNNReal | [] | [
1899,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1897,
1
] |
Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.inf_coe | [] | [
489,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
488,
1
] |
Mathlib/MeasureTheory/Measure/GiryMonad.lean | MeasureTheory.Measure.join_eq_bind | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.41117\ninst✝¹ : MeasurableSpace α\ninst✝ : MeasurableSpace β\nμ : Measure (Measure α)\n⊢ join μ = bind μ id",
"tactic": "rw [bind, map_id]"
}
] | [
211,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Analysis/Calculus/Deriv/Prod.lean | HasDerivAt.prod | [] | [
71,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
8
] |
Mathlib/LinearAlgebra/FreeModule/PID.lean | Ideal.selfBasis_def | [] | [
614,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
612,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_insert_right | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.48593\ninst✝ : PartialOrder α\na b c : α\nh : a < b\n⊢ insert b (Ioo a b) = Ioc a b",
"tactic": "rw [insert_eq, union_comm, Ioo_union_right h]"
}
] | [
892,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
891,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.range_succ | [
{
"state_after": "n✝ m n : ℕ\n⊢ Set.range ↑(succAbove 0) = {0}ᶜ",
"state_before": "n✝ m n : ℕ\n⊢ Set.range succ = {0}ᶜ",
"tactic": "rw [← succAbove_zero]"
},
{
"state_after": "no goals",
"state_before": "n✝ m n : ℕ\n⊢ Set.range ↑(succAbove 0) = {0}ᶜ",
"tactic": "exact range_succAbove (0 ... | [
2176,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2174,
1
] |
Mathlib/Algebra/CovariantAndContravariant.lean | act_rel_act_of_rel | [] | [
154,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
153,
1
] |
Mathlib/GroupTheory/GroupAction/FixingSubgroup.lean | fixingSubmonoid_antitone | [] | [
76,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
] |
Mathlib/Data/Real/CauSeq.lean | CauSeq.sub_limZero | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\ninst✝² : LinearOrderedField α\ninst✝¹ : Ring β\nabv : β → α\ninst✝ : IsAbsoluteValue abv\nf g : CauSeq β abv\nhf : LimZero f\nhg : LimZero g\n⊢ LimZero (f - g)",
"tactic": "simpa only [sub_eq_add_neg] using add_limZero hf (neg_lim... | [
447,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
446,
1
] |
Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | Matrix.isAdjointPair_equiv' | [
{
"state_after": "R : Type ?u.2171788\nM : Type ?u.2171791\ninst✝¹⁶ : Semiring R\ninst✝¹⁵ : AddCommMonoid M\ninst✝¹⁴ : Module R M\nR₁ : Type ?u.2171827\nM₁ : Type ?u.2171830\ninst✝¹³ : Ring R₁\ninst✝¹² : AddCommGroup M₁\ninst✝¹¹ : Module R₁ M₁\nR₂ : Type ?u.2172439\nM₂ : Type ?u.2172442\ninst✝¹⁰ : CommSemiring ... | [
494,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
473,
1
] |
Mathlib/Data/QPF/Multivariate/Constructions/Fix.lean | MvQPF.recF_eq_of_wEquiv | [
{
"state_after": "n : ℕ\nF : TypeVec (n + 1) → Type u\ninst✝ : MvFunctor F\nq : MvQPF F\nα : TypeVec n\nβ : Type u\nu : F (α ::: β) → β\nx y : MvPFunctor.W (P F) α\n⊢ ∀ (a : (P F).A) (f' : MvPFunctor.B (MvPFunctor.drop (P F)) a ⟹ α)\n (f : PFunctor.B (MvPFunctor.last (P F)) a → MvPFunctor.W (P F) α),\n WE... | [
107,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/LinearAlgebra/Prod.lean | LinearMap.fst_surjective | [] | [
87,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Algebra.comap_top | [] | [
938,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
937,
1
] |
Mathlib/RingTheory/FiniteType.lean | AddMonoidAlgebra.mvPolynomial_aeval_of_surjective_of_closure | [
{
"state_after": "R : Type u_1\nM : Type u_2\ninst✝¹ : AddCommMonoid M\ninst✝ : CommSemiring R\nS : Set M\nhS : closure S = ⊤\nf : AddMonoidAlgebra R M\n⊢ ∃ a, ↑(MvPolynomial.aeval fun s => of' R M ↑s) a = f",
"state_before": "R : Type u_1\nM : Type u_2\ninst✝¹ : AddCommMonoid M\ninst✝ : CommSemiring R\nS :... | [
443,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
424,
1
] |
Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.prod_map_le_prod_map | [] | [
407,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
405,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.abs_cos_eq_abs_sin_of_two_nsmul_add_two_nsmul_eq_pi | [
{
"state_after": "θ ψ : Angle\nh : θ = ↑(π / 2) - ψ ∨ θ = ↑(π / 2) - ψ + ↑π\n⊢ abs (cos θ) = abs (sin ψ)",
"state_before": "θ ψ : Angle\nh : 2 • θ + 2 • ψ = ↑π\n⊢ abs (cos θ) = abs (sin ψ)",
"tactic": "rw [← eq_sub_iff_add_eq, ← two_nsmul_coe_div_two, ← nsmul_sub, two_nsmul_eq_iff] at h"
},
{
"s... | [
765,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
762,
1
] |
Mathlib/Algebra/Hom/Group.lean | MonoidHom.congr_fun | [] | [
684,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
683,
1
] |
Std/Data/List/Lemmas.lean | List.nil_sublist | [] | [
320,
37
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
318,
9
] |
Mathlib/InformationTheory/Hamming.lean | Hamming.dist_eq_hammingDist | [] | [
416,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
1
] |
Mathlib/MeasureTheory/Measure/NullMeasurable.lean | MeasureTheory.NullMeasurableSet.sUnion | [
{
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168,
35
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165,
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Mathlib/Analysis/BoxIntegral/Partition/Measure.lean | BoxIntegral.Box.volume_apply' | [
{
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] | [
132,
61
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130,
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Mathlib/CategoryTheory/Sites/DenseSubsite.lean | CategoryTheory.CoverDense.Types.pushforwardFamily_def | [] | [
175,
81
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173,
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Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.coprod.map_map | [
{
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Mathlib/Data/Part.lean | Part.mem_assert_iff | [] | [
471,
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468,
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Mathlib/LinearAlgebra/TensorProduct.lean | LinearMap.map_comp_rTensor | [
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Mathlib/Topology/Algebra/FilterBasis.lean | ModuleFilterBasis.smul_left | [] | [
362,
21
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Mathlib/LinearAlgebra/FiniteDimensional.lean | LinearMap.injective_iff_surjective_of_finrank_eq_finrank | [
{
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57
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Mathlib/Algebra/Category/Ring/Colimits.lean | CommRingCat.Colimits.quot_mul | [] | [
239,
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237,
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Mathlib/Algebra/Order/Ring/Defs.lean | StrictMono.const_mul_of_neg | [] | [
736,
46
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Mathlib/Order/Filter/Partial.lean | Filter.rmap_compose | [] | [
88,
26
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87,
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Mathlib/MeasureTheory/MeasurableSpace.lean | measurable_inclusion | [] | [
580,
30
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Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.map_obj | [] | [
161,
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160,
1
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Mathlib/Algebra/Order/Field/Basic.lean | div_lt_div_of_lt | [
{
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362,
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360,
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Mathlib/Algebra/Hom/Ring.lean | RingHom.coe_mul | [] | [
744,
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Mathlib/FieldTheory/PerfectClosure.lean | PerfectClosure.int_cast | [
{
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434,
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432,
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Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.liftAux_apply_inr | [
{
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Mathlib/GroupTheory/Subsemigroup/Basic.lean | Subsemigroup.closure_eq_of_le | [] | [
346,
35
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345,
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Mathlib/LinearAlgebra/Dimension.lean | rank_range_of_surjective | [
{
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227,
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | csInf_insert | [] | [
714,
33
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713,
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Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.log_pow_eq_self | [] | [
487,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
485,
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Mathlib/Data/Fin/Interval.lean | Fin.card_fintypeIoo | [
{
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] | [
119,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
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Mathlib/Order/Filter/Basic.lean | Filter.mem_iInf_of_finite | [
{
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641,
55
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637,
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Mathlib/Order/Atoms/Finite.lean | Fintype.IsSimpleOrder.card | [] | [
56,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.dvd_of_mem_factors | [
{
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49
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Mathlib/CategoryTheory/Abelian/LeftDerived.lean | CategoryTheory.Abelian.Functor.leftDerivedZeroToSelfApp_comp_inv | [
{
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124,
31
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98,
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.diam_le_iff | [
{
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"tactic": "simp only [diam, iSup_le_iff]"
}
] | [
879,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
878,
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Mathlib/RingTheory/Subsemiring/Basic.lean | RingEquiv.ofLeftInverseS_symm_apply | [] | [
1301,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1299,
1
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Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Set.Finite.summable | [
{
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"state_before": "α : Type... | [
191,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
11
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Mathlib/FieldTheory/RatFunc.lean | RatFunc.intDegree_zero | [
{
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] | [
1572,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1571,
1
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean | Real.tan_add | [
{
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"tactic": "simpa only [← Complex.ofR... | [
37,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
31,
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioi_def | [] | [
116,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
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Mathlib/Data/Fintype/Basic.lean | Finset.univ_filter_mem_range | [
{
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318,
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315,
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Mathlib/Analysis/Convex/Function.lean | ConvexOn.lt_left_of_right_lt | [
{
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806,
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803,
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Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.nonzero_image_of_nonzero | [] | [
155,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
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Mathlib/Topology/UniformSpace/Basic.lean | uniformContinuousOn_iff_restrict | [
{
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1504,
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1501,
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Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.embedding_coeFn | [] | [
291,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | Metric.smul_closedBall | [] | [
444,
51
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443,
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Mathlib/RingTheory/Ideal/LocalRing.lean | LocalRing.ResidueField.map_comp | [] | [
426,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
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Mathlib/Combinatorics/Configuration.lean | Configuration.HasLines.card_le | [
{
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256,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | ciSup_unique | [
{
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843,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
841,
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Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.lt_logb_iff_rpow_lt_of_base_lt_one | [
{
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"tactic": "rw [← rpow_lt_rpow_left_iff_of_base_lt_one b_pos b_lt_one, rpow_logb b_pos (b_ne_one b_lt_one) hy]"
}
] | [
285,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
1
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Mathlib/Analysis/InnerProductSpace/Calculus.lean | differentiableAt_euclidean | [
{
"state_after": "𝕜 : Type u_1\nι : Type u_3\nH : Type u_2\ninst✝³ : IsROrC 𝕜\ninst✝² : NormedAddCommGroup H\ninst✝¹ : NormedSpace 𝕜 H\ninst✝ : Fintype ι\nf : H → EuclideanSpace 𝕜 ι\nf' : H →L[𝕜] EuclideanSpace 𝕜 ι\nt : Set H\ny : H\n⊢ (∀ (i : ι), DifferentiableAt 𝕜 (fun x => (↑(EuclideanSpace.equiv ι 𝕜... | [
308,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
1
] |
Mathlib/CategoryTheory/Preadditive/Opposite.lean | CategoryTheory.op_add | [] | [
65,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Connected.map | [] | [
1959,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1956,
1
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Mathlib/Topology/PathConnected.lean | pathComponent.nonempty | [] | [
909,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
908,
1
] |
Mathlib/RingTheory/AlgebraicIndependent.lean | AlgebraicIndependent.aeval_comp_repr | [] | [
411,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
410,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.isUnit_singleton | [] | [
1188,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1187,
1
] |
Mathlib/Data/Nat/Parity.lean | Nat.bit0_div_bit0 | [
{
"state_after": "no goals",
"state_before": "m n : ℕ\n⊢ bit0 n / bit0 m = n / m",
"tactic": "rw [bit0_eq_two_mul m, ← Nat.div_div_eq_div_mul, bit0_div_two]"
}
] | [
255,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
1
] |
Std/Data/List/Lemmas.lean | List.infix_append | [] | [
1563,
83
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1563,
1
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearEquiv.image_symm_image | [] | [
2058,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2057,
1
] |
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