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/MetricSpace/Basic.lean | dist_prod_same_left | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.245069\nι : Type ?u.245072\ninst✝¹ : PseudoMetricSpace α\ninst✝ : PseudoMetricSpace β\nx : α\ny₁ y₂ : β\n⊢ dist (x, y₁) (x, y₂) = dist y₁ y₂",
"tactic": "simp [Prod.dist_eq, dist_nonneg]"
}
] | [
1756,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1755,
1
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Mathlib/Data/Finset/Basic.lean | Finset.val_eq_singleton_iff | [
{
"state_after": "α : Type u_1\nβ : Type ?u.28858\nγ : Type ?u.28861\ns✝ : Finset α\na✝ b a : α\ns : Finset α\n⊢ s.val = {a} ↔ s.val = {a}.val",
"state_before": "α : Type u_1\nβ : Type ?u.28858\nγ : Type ?u.28861\ns✝ : Finset α\na✝ b a : α\ns : Finset α\n⊢ s.val = {a} ↔ s = {a}",
"tactic": "rw [← val_in... | [
701,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
699,
1
] |
Mathlib/Order/Monotone/Monovary.lean | Subsingleton.monovary | [] | [
116,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
11
] |
Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.equivariantOfLinearOfComm_apply | [] | [
1019,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1018,
1
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Mathlib/Data/List/Rotate.lean | List.rotate_injective | [
{
"state_after": "α : Type u\nn : ℕ\nl l' : List α\nh : rotate l n = rotate l' n\n⊢ l = l'",
"state_before": "α : Type u\nn : ℕ\n⊢ Injective fun l => rotate l n",
"tactic": "rintro l l' (h : l.rotate n = l'.rotate n)"
},
{
"state_after": "α : Type u\nn : ℕ\nl l' : List α\nh : rotate l n = rotate... | [
331,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
326,
1
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Mathlib/Algebra/Lie/Subalgebra.lean | LieEquiv.lieSubalgebraMap_apply | [] | [
807,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
806,
1
] |
Std/Data/List/Lemmas.lean | List.get?_modifyNth_ne | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nf : α → α\nm n : Nat\nl : List α\nh : m ≠ n\n⊢ get? (modifyNth f m l) n = get? l n",
"tactic": "simp only [get?_modifyNth, if_neg h, id_map']"
}
] | [
762,
48
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
760,
9
] |
Mathlib/Analysis/Complex/ReImTopology.lean | Complex.interior_reProdIm | [
{
"state_after": "no goals",
"state_before": "s t : Set ℝ\n⊢ interior (s ×ℂ t) = interior s ×ℂ interior t",
"tactic": "rw [Set.reProdIm, Set.reProdIm, interior_inter, interior_preimage_re, interior_preimage_im]"
}
] | [
182,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/RingTheory/RootsOfUnity/Complex.lean | Complex.isPrimitiveRoot_exp | [
{
"state_after": "no goals",
"state_before": "n : ℕ\nh0 : n ≠ 0\n⊢ IsPrimitiveRoot (exp (2 * ↑π * I / ↑n)) n",
"tactic": "simpa only [Nat.cast_one, one_div] using\n isPrimitiveRoot_exp_of_coprime 1 n h0 n.coprime_one_left"
}
] | [
57,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Analysis/InnerProductSpace/Adjoint.lean | LinearMap.adjoint_inner_right | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type ?u.1706942\ninst✝⁹ : IsROrC 𝕜\ninst✝⁸ : NormedAddCommGroup E\ninst✝⁷ : NormedAddCommGroup F\ninst✝⁶ : NormedAddCommGroup G\ninst✝⁵ : InnerProductSpace 𝕜 E\ninst✝⁴ : InnerProductSpace 𝕜 F\ninst✝³ : InnerProductSpace 𝕜 G\ninst✝² : FiniteDim... | [
400,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
1
] |
Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.int_sub_iff | [
{
"state_after": "no goals",
"state_before": "p q x y : ℝ\nr : ℚ\nm : ℤ\nn : ℕ\n⊢ LiouvilleWith p (↑m - x) ↔ LiouvilleWith p x",
"tactic": "simp [sub_eq_add_neg]"
}
] | [
299,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/Data/MvPolynomial/PDeriv.lean | MvPolynomial.pderiv_C_mul | [] | [
127,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Data/Sym/Sym2.lean | Sym2.lift₂_mk'' | [] | [
229,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.aecover_Iio | [] | [
158,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/Order/UpperLower/Basic.lean | UpperSet.map_refl | [
{
"state_after": "case h.h.a.h\nα : Type u_1\nβ : Type ?u.97471\nγ : Type ?u.97474\nι : Sort ?u.97477\nκ : ι → Sort ?u.97482\ninst✝² : Preorder α\ninst✝¹ : Preorder β\ninst✝ : Preorder γ\nf : α ≃o β\ns t : UpperSet α\na : α\nb : β\nx✝¹ : UpperSet α\nx✝ : α\n⊢ x✝ ∈ ↑(↑(map (OrderIso.refl α)) x✝¹) ↔ x✝ ∈ ↑(↑(Orde... | [
983,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
981,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.countp_filter | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.312315\nγ : Type ?u.312318\np : α → Prop\ninst✝¹ : DecidablePred p\nq : α → Prop\ninst✝ : DecidablePred q\ns : Multiset α\n⊢ countp p (filter q s) = countp (fun a => p a ∧ q a) s",
"tactic": "simp [countp_eq_card_filter]"
}
] | [
2272,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2271,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.C_apply | [] | [
205,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/Analysis/Convex/Cone/Dual.lean | innerDualCone_iUnion | [
{
"state_after": "𝕜 : Type ?u.15183\nE : Type ?u.15186\nF : Type ?u.15189\nG : Type ?u.15192\nH : Type u_2\ninst✝¹ : NormedAddCommGroup H\ninst✝ : InnerProductSpace ℝ H\ns t : Set H\nι : Sort u_1\nf : ι → Set H\n⊢ (⨅ (i : ι), innerDualCone (f i)) ≤ innerDualCone (⋃ (i : ι), f i)",
"state_before": "𝕜 : Typ... | [
112,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Probability/ProbabilityMassFunction/Monad.lean | Pmf.toPmf_dirac | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.7626\nγ : Type ?u.7629\na a' : α\ns : Set α\ninst✝¹ : MeasurableSpace α\ninst✝ : Countable α\nh : MeasurableSingletonClass α\n⊢ Measure.toPmf (Measure.dirac a) = pure a",
"tactic": "rw [toPmf_eq_iff_toMeasure_eq, toMeasure_pure]"
... | [
101,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
] |
Mathlib/RingTheory/WittVector/IsPoly.lean | WittVector.IsPoly₂.compLeft | [] | [
577,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
575,
1
] |
Mathlib/Topology/Algebra/FilterBasis.lean | GroupFilterBasis.nhds_one_eq | [
{
"state_after": "G : Type u\ninst✝ : Group G\nB✝ B : GroupFilterBasis G\n⊢ N B 1 = FilterBasis.filter toFilterBasis",
"state_before": "G : Type u\ninst✝ : Group G\nB✝ B : GroupFilterBasis G\n⊢ 𝓝 1 = FilterBasis.filter toFilterBasis",
"tactic": "rw [B.nhds_eq]"
},
{
"state_after": "G : Type u\n... | [
212,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.le_radius_of_isBigO | [] | [
149,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.isBoundedLinearMap | [] | [
89,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biprod.inl_map | [
{
"state_after": "J : Type w\nC : Type u\ninst✝³ : Category C\ninst✝² : HasZeroMorphisms C\nP Q W X Y Z : C\ninst✝¹ : HasBinaryBiproduct W X\ninst✝ : HasBinaryBiproduct Y Z\nf : W ⟶ Y\ng : X ⟶ Z\n⊢ inl ≫ map' f g = f ≫ inl",
"state_before": "J : Type w\nC : Type u\ninst✝³ : Category C\ninst✝² : HasZeroMorph... | [
1525,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1522,
1
] |
Mathlib/LinearAlgebra/Finrank.lean | Submodule.lt_top_of_finrank_lt_finrank | [
{
"state_after": "K : Type u\nV : Type v\ninst✝⁴ : Ring K\ninst✝³ : AddCommGroup V\ninst✝² : Module K V\nV₂ : Type v'\ninst✝¹ : AddCommGroup V₂\ninst✝ : Module K V₂\ns : Submodule K V\nlt : finrank K { x // x ∈ s } < finrank K { x // x ∈ ⊤ }\n⊢ s < ⊤",
"state_before": "K : Type u\nV : Type v\ninst✝⁴ : Ring ... | [
290,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
287,
1
] |
Mathlib/Data/Set/Intervals/OrdConnected.lean | Set.OrdConnected.uIcc_subset | [] | [
259,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.eqOn_mulIndicator | [] | [
166,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.coe_mul | [] | [
2516,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2515,
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] |
Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.coe_one | [] | [
263,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
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] |
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_zero_ae | [] | [
1000,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
997,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | ContDiffOn.differentiableOn_iteratedFDerivWithin | [] | [
1078,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1075,
1
] |
Mathlib/Analysis/Convex/Join.lean | convexJoin_convexJoin_convexJoin_comm | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.72702\n𝕜 : Type u_2\nE : Type u_1\ninst✝² : LinearOrderedField 𝕜\ninst✝¹ : AddCommGroup E\ninst✝ : Module 𝕜 E\ns✝ t✝ u✝ : Set E\nx y : E\ns t u v : Set E\n⊢ convexJoin 𝕜 (convexJoin 𝕜 s t) (convexJoin 𝕜 u v) = convexJoin 𝕜 (convexJoin 𝕜 s u) ... | [
177,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
174,
1
] |
Mathlib/LinearAlgebra/Matrix/ZPow.lean | Matrix.zpow_add | [
{
"state_after": "no goals",
"state_before": "n' : Type u_1\ninst✝² : DecidableEq n'\ninst✝¹ : Fintype n'\nR : Type u_2\ninst✝ : CommRing R\nA : M\nha : IsUnit (det A)\nm n : ℤ\n⊢ A ^ (m + n) = A ^ m * A ^ n",
"tactic": "induction n using Int.induction_on with\n| hz => simp\n| hp n ihn => simp only [← a... | [
174,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/RingTheory/Valuation/Quotient.lean | AddValuation.supp_quot_supp | [] | [
138,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/Order/SuccPred/Limit.lean | Order.isPredLimit_top | [] | [
285,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPushout.paste_horiz | [] | [
731,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
727,
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Mathlib/Analysis/Normed/Field/Basic.lean | NormedField.punctured_nhds_neBot | [
{
"state_after": "α : Type u_1\nβ : Type ?u.375059\nγ : Type ?u.375062\nι : Type ?u.375065\ninst✝ : NontriviallyNormedField α\nx : α\n⊢ ∀ (ε : ℝ), ε > 0 → ∃ b, b ∈ {x}ᶜ ∧ dist x b < ε",
"state_before": "α : Type u_1\nβ : Type ?u.375059\nγ : Type ?u.375062\nι : Type ?u.375065\ninst✝ : NontriviallyNormedField... | [
752,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
747,
1
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Mathlib/Algebra/GCDMonoid/Basic.lean | gcd_eq_left_iff | [] | [
476,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
473,
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] |
Mathlib/CategoryTheory/Sites/CompatiblePlus.lean | CategoryTheory.GrothendieckTopology.plusCompIso_whiskerRight | [
{
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192,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
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Mathlib/Data/Set/Basic.lean | Set.ssubset_iff_subset_ne | [] | [
408,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
407,
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Mathlib/Algebra/DirectLimit.lean | DirectedSystem.map_self | [] | [
60,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.coe_zpow | [] | [
620,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
619,
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ico_inter_Ico_consecutive | [] | [
606,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
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] |
Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.sInf_coe_toSubmodule | [] | [
422,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
420,
1
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Mathlib/Analysis/LocallyConvex/Bounded.lean | Bornology.IsVonNBounded.image | [
{
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140,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
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Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv | [
{
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"state_before": "C : Type u\ninst✝⁴ : Category C\ninst✝³ : HasZeroMorphisms C\nX Y : C\nf✝ : X ⟶ Y\ninst✝² : HasKernel f✝\nZ : C\nf g : X ⟶ Y\ninst✝¹ : HasKernel f\ninst✝ : HasKernel g\nh : f = g\ne : Z ⟶ X\nhe : e ≫ g = 0\n⊢ e ≫ f = 0",
"tactic": "simp [h, he]"
},
{
... | [
379,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
376,
1
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.sInf_empty | [] | [
793,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
792,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lt_limit | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.91204\nβ : Type ?u.91207\nγ : Type ?u.91210\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\no : Ordinal\nh : IsLimit o\na : Ordinal\n⊢ a < o ↔ ∃ x, x < o ∧ a < x",
"tactic": "simpa only [not_ball, not_le, bex_def] using not_congr (@limit_l... | [
275,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
273,
1
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Mathlib/SetTheory/Cardinal/Continuum.lean | Cardinal.nat_power_aleph0 | [] | [
192,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
1
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Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.polar_zero_left | [
{
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74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
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Mathlib/Order/CompactlyGenerated.lean | CompleteLattice.setIndependent_iUnion_of_directed | [
{
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Std/Data/Int/Lemmas.lean | Int.add_le_add | [] | [
792,
70
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791,
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Mathlib/Analysis/LocallyConvex/Basic.lean | balanced_univ | [] | [
179,
81
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Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.set_support_inv_eq | [
{
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263,
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260,
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Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.IsCycle.exists_pow_eq | [
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Mathlib/Order/CompleteLattice.lean | iSup_of_empty' | [] | [
1499,
36
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.isCaratheodory_compl_iff | [
{
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Mathlib/Data/Set/Function.lean | Set.EqOn.image_eq | [] | [
214,
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213,
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Mathlib/Algebra/Order/Sub/Canonical.lean | AddLECancellable.tsub_add_tsub_comm | [
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106,
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Mathlib/Algebra/Lie/BaseChange.lean | LieAlgebra.ExtendScalars.bracket_tmul | [
{
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... | [
63,
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegrable_const_iff | [
{
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124,
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Mathlib/Data/Finset/Lattice.lean | Set.iUnion_eq_iUnion_finset' | [] | [
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Mathlib/Topology/UniformSpace/Basic.lean | nhds_eq_uniformity | [] | [
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Mathlib/Order/Partition/Finpartition.lean | Finpartition.card_extend | [] | [
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Mathlib/RingTheory/Subsemiring/Pointwise.lean | Subsemiring.pointwise_smul_toAddSubmonoid | [] | [
68,
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Mathlib/Algebra/Lie/Basic.lean | LieModuleEquiv.symm_apply_apply | [] | [
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Std/Data/Int/Lemmas.lean | Int.natAbs_of_nonneg | [] | [
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Mathlib/Data/Int/ModEq.lean | Int.modEq_neg | [
{
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122,
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Mathlib/Data/Fintype/Prod.lean | infinite_prod | [
{
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74,
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Mathlib/MeasureTheory/Constructions/Prod/Integral.lean | MeasureTheory.continuous_integral_integral | [
{
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448,
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Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.compLinearMap_injective | [
{
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594,
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Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean | ModuleCat.MonoidalCategory.rightUnitor_inv_apply | [] | [
243,
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Mathlib/LinearAlgebra/Alternating.lean | LinearMap.compAlternatingMap_codRestrict | [] | [
527,
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Mathlib/MeasureTheory/Function/Jacobian.lean | exists_closed_cover_approximatesLinearOn_of_hasFDerivWithinAt | [
{
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114,
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Mathlib/Data/Finsupp/Multiset.lean | Finsupp.toMultiset_single | [
{
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71,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Logic/Equiv/Fin.lean | finAddFlip_apply_natAdd | [
{
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370,
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369,
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Mathlib/Order/CompleteLattice.lean | iSup_iInf_le_iInf_iSup | [] | [
889,
65
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888,
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Mathlib/Data/Set/Basic.lean | Set.mem_of_subset_of_mem | [] | [
385,
7
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384,
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Mathlib/Combinatorics/Configuration.lean | Configuration.ProjectivePlane.pointCount_eq_pointCount | [
{
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423,
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Mathlib/Algebra/Hom/Ring.lean | RingHom.codomain_trivial | [] | [
628,
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626,
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.mem_graph_snd_inj' | [
{
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Mathlib/Data/Matrix/Basic.lean | Matrix.single_vecMul_diagonal | [
{
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1811,
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1807,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.coe_int_mul_eq_zsmul | [
{
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] | [
116,
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115,
1
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Mathlib/Topology/Connected.lean | IsConnected.preimage_of_closedMap | [] | [
414,
84
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411,
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src/lean/Init/Core.lean | proofIrrel | [] | [
525,
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525,
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Mathlib/Analysis/Calculus/ContDiff.lean | contDiff_succ_iff_fderiv_apply | [
{
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1907,
56
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1905,
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Std/Logic.lean | ite_id | [
{
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] | [
689,
88
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
689,
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Mathlib/RingTheory/Polynomial/Content.lean | Polynomial.content_one | [
{
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] | [
109,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
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Mathlib/Deprecated/Subgroup.lean | IsGroupHom.inv_iff_ker | [
{
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392,
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391,
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Mathlib/Data/Nat/PartENat.lean | PartENat.not_dom_iff_eq_top | [] | [
374,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
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Mathlib/LinearAlgebra/Matrix/Symmetric.lean | Matrix.IsSymm.conjTranspose | [] | [
98,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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1
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Mathlib/Topology/MetricSpace/Basic.lean | ball_pi' | [
{
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2059,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2057,
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Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.symm_apply_apply | [] | [
174,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
1
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Mathlib/GroupTheory/Subgroup/ZPowers.lean | Subgroup.exists_zpowers | [] | [
69,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
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Mathlib/CategoryTheory/Limits/ExactFunctor.lean | CategoryTheory.LeftExactFunctor.ofExact_map | [] | [
156,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
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Mathlib/Data/Polynomial/DenomsClearable.lean | denomsClearable_natDegree | [] | [
82,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
1
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Mathlib/Topology/Order/Basic.lean | Ioc_mem_nhdsWithin_Iic | [
{
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"tactic": "simpa only [dual_Ico] using\n Ic... | [
579,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
577,
1
] |
Mathlib/Topology/Order.lean | coinduced_id | [] | [
482,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
481,
1
] |
Mathlib/GroupTheory/Nilpotent.lean | of_quotient_center_nilpotent | [
{
"state_after": "case intro\nG : Type u_1\ninst✝¹ : Group G\nH : Subgroup G\ninst✝ : Normal H\nh : Group.IsNilpotent (G ⧸ center G)\nn : ℕ\nhn : upperCentralSeries (G ⧸ center G) n = ⊤\n⊢ Group.IsNilpotent G",
"state_before": "G : Type u_1\ninst✝¹ : Group G\nH : Subgroup G\ninst✝ : Normal H\nh : Group.IsNi... | [
658,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
655,
1
] |
Mathlib/Order/UpperLower/Basic.lean | LowerSet.Ici_prod_Ici | [] | [
1668,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1667,
1
] |
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