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/Data/Prod/Basic.lean | Prod.exists | [] | [
39,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
1
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Mathlib/SetTheory/Game/PGame.lean | PGame.lf_of_lt | [] | [
544,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
543,
1
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Mathlib/Analysis/InnerProductSpace/Calculus.lean | HasStrictFDerivAt.inner | [] | [
107,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
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Mathlib/RingTheory/Polynomial/Bernstein.lean | bernsteinPolynomial.linearIndependent_aux | [
{
"state_after": "case zero\nR : Type ?u.195275\ninst✝ : CommRing R\nn k : ℕ\nh✝ : k ≤ n + 1\nh : Nat.zero ≤ n + 1\n⊢ LinearIndependent ℚ fun ν => bernsteinPolynomial ℚ n ↑ν\n\ncase succ\nR : Type ?u.195275\ninst✝ : CommRing R\nn k✝ : ℕ\nh✝ : k✝ ≤ n + 1\nk : ℕ\nih : k ≤ n + 1 → LinearIndependent ℚ fun ν => bern... | [
281,
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Mathlib/Topology/Sets/Closeds.lean | TopologicalSpace.Closeds.compl_bijective | [] | [
218,
95
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217,
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Mathlib/Data/Subtype.lean | Subtype.trans | [] | [
247,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
11
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Mathlib/Algebra/DualQuaternion.lean | Quaternion.fst_imI_dualNumberEquiv_symm | [] | [
121,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
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Mathlib/RingTheory/Valuation/Basic.lean | AddValuation.top_iff | [] | [
738,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
737,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.inv_strictAnti | [
{
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"state_before": "α : Type ?u.265925\nβ : Type ?u.265928\na b c d : ℝ≥0∞\nr p q : ℝ≥0\n⊢ StrictAnti Inv.inv",
"tactic": "intro a b h"
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{
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1474,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1467,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_neg_right | [
{
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874,
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872,
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Mathlib/Data/Finset/Basic.lean | Finset.filter_erase | [
{
"state_after": "case a\nα : Type u_1\nβ : Type ?u.390807\nγ : Type ?u.390810\np q : α → Prop\ninst✝² : DecidablePred p\ninst✝¹ : DecidablePred q\ninst✝ : DecidableEq α\na : α\ns : Finset α\nx : α\n⊢ x ∈ filter p (erase s a) ↔ x ∈ erase (filter p s) a",
"state_before": "α : Type u_1\nβ : Type ?u.390807\nγ ... | [
2847,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2845,
1
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Mathlib/Order/Filter/AtTopBot.lean | Filter.frequently_atBot' | [] | [
340,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
338,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.sin_zero | [
{
"state_after": "no goals",
"state_before": "⊢ sin 0 = 0",
"tactic": "rw [← coe_zero, sin_coe, Real.sin_zero]"
}
] | [
358,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
358,
1
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | HasFDerivWithinAt.mul | [
{
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307,
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303,
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Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometry.map_ne | [] | [
173,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
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Mathlib/Topology/Algebra/Order/Group.lean | continuous_abs | [] | [
63,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
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Mathlib/Analysis/Convex/Between.lean | Wbtw.left_ne_right_of_ne_right | [
{
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331,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
328,
1
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Mathlib/RingTheory/Localization/LocalizationLocalization.lean | IsLocalization.isLocalization_of_is_exists_mul_mem | [
{
"state_after": "case intro\nR : Type u_1\ninst✝⁶ : CommRing R\nM✝ : Submonoid R\nS : Type u_2\ninst✝⁵ : CommRing S\ninst✝⁴ : Algebra R S\nP : Type ?u.656657\ninst✝³ : CommRing P\nN✝ : Submonoid S\nT : Type ?u.656821\ninst✝² : CommRing T\ninst✝¹ : Algebra R T\nM N : Submonoid R\ninst✝ : IsLocalization M S\nh :... | [
266,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
250,
1
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.Hom.map_adj | [] | [
1686,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1685,
1
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Mathlib/Analysis/BoxIntegral/Partition/Split.lean | BoxIntegral.Box.disjoint_splitLower_splitUpper | [
{
"state_after": "ι : Type u_1\nM : Type ?u.20595\nn : ℕ\nI✝ : Box ι\ni✝ : ι\nx✝ : ℝ\ny : ι → ℝ\nI : Box ι\ni : ι\nx : ℝ\n⊢ Disjoint (↑I ∩ {y | y i ≤ x}) (↑I ∩ {y | x < y i})",
"state_before": "ι : Type u_1\nM : Type ?u.20595\nn : ℕ\nI✝ : Box ι\ni✝ : ι\nx✝ : ℝ\ny : ι → ℝ\nI : Box ι\ni : ι\nx : ℝ\n⊢ Disjoint... | [
144,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
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Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.of_injective | [
{
"state_after": "no goals",
"state_before": "ι : Type u_2\nM : ι → Type u_1\ninst✝¹ : (i : ι) → Monoid (M i)\nN : Type ?u.240831\ninst✝ : Monoid N\ni : ι\n⊢ Function.Injective ↑of",
"tactic": "classical exact (of_leftInverse i).injective"
},
{
"state_after": "no goals",
"state_before": "ι :... | [
192,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
1
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Mathlib/Init/CcLemmas.lean | imp_eq_of_eq_true_left | [] | [
52,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
51,
1
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.span_map_fst | [] | [
237,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
1
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.count_singleton' | [
{
"state_after": "α : Type u_1\nβ : Type ?u.385073\nγ : Type ?u.385076\nδ : Type ?u.385079\nι : Type ?u.385082\nR : Type ?u.385085\nR' : Type ?u.385088\nm0 : MeasurableSpace α\ninst✝² : MeasurableSpace β\ninst✝¹ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set α\ninst✝ : MeasurableSpace α\na... | [
2313,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2310,
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Mathlib/Data/Nat/Choose/Basic.lean | Nat.choose_le_choose | [] | [
327,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
326,
1
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Mathlib/Algebra/Homology/HomotopyCategory.lean | HomotopyCategory.eq_of_homotopy | [] | [
93,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
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Mathlib/Analysis/Calculus/FDeriv/Add.lean | HasFDerivAtFilter.sub_const | [
{
"state_after": "no goals",
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534,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
532,
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Mathlib/Topology/Instances/AddCircle.lean | continuous_left_toIocMod | [
{
"state_after": "𝕜 : Type u_1\nB : Type ?u.10078\ninst✝³ : LinearOrderedAddCommGroup 𝕜\ninst✝² : Archimedean 𝕜\ninst✝¹ : TopologicalSpace 𝕜\ninst✝ : OrderTopology 𝕜\np : 𝕜\nhp : 0 < p\na x : 𝕜\n⊢ ContinuousWithinAt ((fun x => p - x) ∘ toIcoMod hp (-a) ∘ Neg.neg) (Iic x) x",
"state_before": "𝕜 : Typ... | [
93,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
1
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Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | DifferentiableWithinAt.rpow_const | [] | [
469,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
467,
1
] |
Mathlib/Analysis/Calculus/Deriv/Basic.lean | differentiableWithinAt_Ioi_iff_Ici | [] | [
545,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.cos_toReal | [
{
"state_after": "no goals",
"state_before": "θ : Angle\n⊢ Real.cos (toReal θ) = cos θ",
"tactic": "conv_rhs => rw [← coe_toReal θ, cos_coe]"
}
] | [
733,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
732,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.cos_periodic | [] | [
1204,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1203,
1
] |
Mathlib/Algebra/Algebra/Equiv.lean | AlgEquiv.coe_ringHom_commutes | [] | [
270,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
1
] |
Std/Logic.lean | Decidable.iff_not_comm | [
{
"state_after": "a b : Prop\ninst✝¹ : Decidable a\ninst✝ : Decidable b\n⊢ (a → ¬b) ∧ (¬b → a) ↔ (b → ¬a) ∧ (¬a → b)",
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"tactic": "rw [@iff_def a, @iff_def b]"
},
{
"state_after": "no goals",
"stat... | [
586,
73
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
585,
1
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Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | div_eq_iff | [] | [
91,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
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Mathlib/Topology/Homeomorph.lean | Homeomorph.isClosed_image | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.64614\nδ : Type ?u.64617\ninst✝³ : TopologicalSpace α\ninst✝² : TopologicalSpace β\ninst✝¹ : TopologicalSpace γ\ninst✝ : TopologicalSpace δ\nh : α ≃ₜ β\ns : Set α\n⊢ IsClosed (↑h '' s) ↔ IsClosed s",
"tactic": "rw [← p... | [
325,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
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Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.le_orthogonal_orthogonal | [] | [
170,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
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Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.IsCycle.pow_eq_one_iff | [
{
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"state_before": "ι : Type ?u.1228455... | [
685,
50
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671,
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] |
Mathlib/Topology/ContinuousFunction/StoneWeierstrass.lean | ContinuousMap.exists_mem_subalgebra_near_continuous_of_separatesPoints | [
{
"state_after": "case intro\nX : Type u_1\ninst✝¹ : TopologicalSpace X\ninst✝ : CompactSpace X\nA : Subalgebra ℝ C(X, ℝ)\nw : Subalgebra.SeparatesPoints A\nf : X → ℝ\nc : Continuous f\nε : ℝ\npos : 0 < ε\ng : { x // x ∈ A }\nb : ‖↑g - mk f‖ < ε\n⊢ ∃ g, ∀ (x : X), ‖↑↑g x - f x‖ < ε",
"state_before": "X : Ty... | [
329,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.exists_mem_insert | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.438273\nγ : Type ?u.438276\ninst✝ : DecidableEq α\na : α\ns : Finset α\np : α → Prop\n⊢ (∃ x, x ∈ insert a s ∧ p x) ↔ p a ∨ ∃ x, x ∈ s ∧ p x",
"tactic": "simp only [mem_insert, or_and_right, exists_or, exists_eq_left]"
}
] | [
3073,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3071,
1
] |
Mathlib/Data/Set/Basic.lean | Set.inter_congr_left | [] | [
985,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
984,
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Mathlib/Data/Fintype/Basic.lean | Finset.top_eq_univ | [] | [
138,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
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Mathlib/Topology/PathConnected.lean | IsPathConnected.union | [
{
"state_after": "case intro.intro\nX : Type u_1\nY : Type ?u.646605\ninst✝¹ : TopologicalSpace X\ninst✝ : TopologicalSpace Y\nx✝ y z : X\nι : Type ?u.646620\nF U V : Set X\nhU : IsPathConnected U\nhV : IsPathConnected V\nx : X\nxU : x ∈ U\nxV : x ∈ V\n⊢ IsPathConnected (U ∪ V)",
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64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
997,
1
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Mathlib/Analysis/InnerProductSpace/Projection.lean | reflection_trans_reflection | [] | [
684,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
682,
1
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Mathlib/Algebra/Order/Field/Basic.lean | inv_le_of_neg | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.150435\nα : Type u_1\nβ : Type ?u.150441\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\nha : a < 0\nhb : b < 0\n⊢ a⁻¹ ≤ b ↔ b⁻¹ ≤ a",
"tactic": "rw [← inv_le_inv_of_neg hb (inv_lt_zero.2 ha), inv_inv]"
}
] | [
764,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
763,
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Mathlib/Topology/Basic.lean | Continuous.comp' | [] | [
1644,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1643,
1
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Mathlib/Data/Complex/Exponential.lean | Real.cos_zero | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\n⊢ cos 0 = 1",
"tactic": "simp [cos]"
}
] | [
1189,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1189,
1
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.Hom.mapDart_apply | [] | [
1717,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1716,
1
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Mathlib/CategoryTheory/Abelian/Transfer.lean | CategoryTheory.AbelianOfAdjunction.coimageIsoImage_hom | [
{
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166,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
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Mathlib/Algebra/Hom/Freiman.lean | FreimanHom.mk_coe | [] | [
211,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
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Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.zero_le | [] | [
387,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
386,
11
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Mathlib/Data/List/Sigma.lean | List.NodupKeys.sublist | [] | [
137,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
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Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean | CategoryTheory.FreeMonoidalCategory.tensorFunc_map_app | [] | [
173,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
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Mathlib/Data/Set/Finite.lean | Multiset.finite_toSet | [
{
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"state_before": "α : Type u\nβ : Type v\nι : Sort w\nγ : Type x\ns : Multiset α\n⊢ Set.Finite {x | x ∈ s}",
"tactic": "classical simpa only [← Multiset.mem_toFinset] using s.toFinset.finite_toSet"
},
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : T... | [
549,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
548,
1
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.mapsTo | [] | [
234,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
11
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Mathlib/Data/List/Chain.lean | List.chain'_reverse | [
{
"state_after": "no goals",
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"tactic": "simp only [chain'_singleton, reverse_singleton]"
},
{
"state_after": "no goals",
"state_before": "α : Type u\nβ ... | [
348,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
343,
1
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.lhom_ext' | [] | [
80,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
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Mathlib/Computability/Reduce.lean | manyOneEquiv_refl | [] | [
164,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
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Mathlib/Data/Polynomial/Module.lean | PolynomialModule.comp_single | [
{
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334,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
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Mathlib/Analysis/SpecificLimits/Normed.lean | Monotone.cauchySeq_alternating_series_of_tendsto_zero | [
{
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"state... | [
623,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
620,
1
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.BalancedSz.symm | [
{
"state_after": "α : Type ?u.7857\nl r : ℕ\n⊢ r + l ≤ 1 → r + l ≤ 1",
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"tactic": "rw [add_comm]"
},
{
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"state_before": "α : Type ?u.7857\nl r : ℕ\n⊢ r + l ≤ 1 → r + l ≤ 1",
"tactic": "exact id... | [
194,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.weightedVSubOfPoint_congr | [
{
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100,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean | MvPolynomial.le_weightedTotalDegree | [] | [
126,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.update_inl_comp_inl | [] | [
291,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.aleph0_le_add_iff | [
{
"state_after": "no goals",
"state_before": "α β : Type u\na b : Cardinal\n⊢ ℵ₀ ≤ a + b ↔ ℵ₀ ≤ a ∨ ℵ₀ ≤ b",
"tactic": "simp only [← not_lt, add_lt_aleph0_iff, not_and_or]"
}
] | [
1535,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1534,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.smul_mem_smul_finset_iff | [] | [
1952,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1951,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.cast_int_cast' | [] | [
404,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Computability/Ackermann.lean | ack_inj_right | [] | [
170,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
] |
Std/Data/List/Lemmas.lean | List.filterMap_nil | [] | [
1148,
78
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1148,
9
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lsub_sum | [] | [
1705,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1702,
1
] |
Std/Data/List/Basic.lean | List.pairwise_cons | [] | [
1081,
62
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1080,
9
] |
Mathlib/Data/Nat/PartENat.lean | PartENat.get_eq_iff_eq_coe | [
{
"state_after": "a : PartENat\nha : a.Dom\nb : ℕ\n⊢ a = ↑b ↔ a = ↑b",
"state_before": "a : PartENat\nha : a.Dom\nb : ℕ\n⊢ Part.get a ha = b ↔ a = ↑b",
"tactic": "rw [get_eq_iff_eq_some]"
},
{
"state_after": "no goals",
"state_before": "a : PartENat\nha : a.Dom\nb : ℕ\n⊢ a = ↑b ↔ a = ↑b",
... | [
210,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/Analysis/Complex/LocallyUniformLimit.lean | TendstoLocallyUniformlyOn.deriv | [
{
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176,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
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Mathlib/Topology/Basic.lean | exists_open_set_nhds | [] | [
944,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
942,
1
] |
Mathlib/Topology/UniformSpace/AbstractCompletion.lean | AbstractCompletion.inverse_compare | [
{
"state_after": "α : Type u_1\ninst✝¹ : UniformSpace α\npkg : AbstractCompletion α\nβ : Type ?u.20377\ninst✝ : UniformSpace β\npkg' : AbstractCompletion α\nuc : UniformContinuous (compare pkg pkg')\n⊢ compare pkg pkg' ∘ compare pkg' pkg = id",
"state_before": "α : Type u_1\ninst✝¹ : UniformSpace α\npkg : A... | [
267,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
1
] |
Mathlib/Algebra/Support.lean | Function.support_prod_subset | [] | [
404,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
402,
1
] |
Mathlib/Algebra/Order/Floor.lean | Int.floor_toNat | [] | [
1583,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1582,
1
] |
Mathlib/Tactic/NormNum/Basic.lean | Mathlib.Meta.NormNum.isRat_inv_neg_one | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : DivisionRing α\n⊢ (↑(Int.negOfNat 1))⁻¹ = ↑(Int.negOfNat 1)",
"tactic": "simp [inv_neg_one]"
}
] | [
501,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
499,
1
] |
Mathlib/Computability/EpsilonNFA.lean | εNFA.εClosure_univ | [] | [
69,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Mathlib/Data/Finsupp/ToDfinsupp.lean | finsuppLequivDfinsupp_apply_apply | [
{
"state_after": "ι : Type u_1\nR : Type u_2\nM : Type u_3\ninst✝⁴ : DecidableEq ι\ninst✝³ : Semiring R\ninst✝² : AddCommMonoid M\ninst✝¹ : (m : M) → Decidable (m ≠ 0)\ninst✝ : Module R M\n⊢ ↑(finsuppLequivDfinsupp R) = Finsupp.toDfinsupp",
"state_before": "ι : Type u_1\nR : Type u_2\nM : Type u_3\ninst✝⁴ :... | [
266,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
] |
Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_apply' | [] | [
353,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
1
] |
Mathlib/FieldTheory/Separable.lean | IsSeparable.separable | [] | [
510,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
509,
1
] |
Mathlib/SetTheory/ZFC/Basic.lean | Class.coe_sep | [] | [
1639,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1637,
1
] |
Mathlib/Algebra/Ring/Defs.lean | neg_mul_eq_neg_mul | [] | [
305,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
1
] |
Mathlib/Algebra/Ring/CompTypeclasses.lean | RingHomInvPair.of_ringEquiv | [] | [
126,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.closure_induction₂ | [] | [
938,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
928,
1
] |
Mathlib/CategoryTheory/Adjunction/Basic.lean | CategoryTheory.Adjunction.CoreHomEquiv.homEquiv_naturality_right_symm | [
{
"state_after": "C : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nF : C ⥤ D\nG : D ⥤ C\nadj : CoreHomEquiv F G\nX' X : C\nY Y' : D\nf : X ⟶ G.obj Y\ng : Y ⟶ Y'\n⊢ f ≫ G.map g = ↑(homEquiv adj X Y') (↑(homEquiv adj X Y).symm f ≫ g)",
"state_before": "C : Type u₁\ninst✝¹ : Category C\nD : T... | [
298,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
296,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurable_ciInf | [] | [
1376,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1374,
1
] |
Std/Data/List/Init/Lemmas.lean | List.append_inj_left | [] | [
66,
25
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
65,
1
] |
Mathlib/Data/Nat/Lattice.lean | Nat.iSup_lt_succ | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : CompleteLattice α\nu : ℕ → α\nn : ℕ\n⊢ (⨆ (k : ℕ) (_ : k < n + 1), u k) = (⨆ (k : ℕ) (_ : k < n), u k) ⊔ u n",
"tactic": "simp [Nat.lt_succ_iff_lt_or_eq, iSup_or, iSup_sup_eq]"
}
] | [
181,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
1
] |
Mathlib/Data/Matrix/Basic.lean | Matrix.diagonal_mul_diagonal | [
{
"state_after": "case a.h\nl : Type ?u.274619\nm : Type ?u.274622\nn : Type u_1\no : Type ?u.274628\nm' : o → Type ?u.274633\nn' : o → Type ?u.274638\nR : Type ?u.274641\nS : Type ?u.274644\nα : Type v\nβ : Type w\nγ : Type ?u.274651\ninst✝² : NonUnitalNonAssocSemiring α\ninst✝¹ : Fintype n\ninst✝ : DecidableE... | [
1040,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1036,
1
] |
Mathlib/Logic/Nontrivial.lean | nontrivial_of_ne | [] | [
62,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.isLittleO_log_id_atTop | [] | [
370,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.coeff_index_single_self_X | [] | [
413,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
412,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.coe_le_coe_iff | [] | [
103,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
11
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.tmpUniformSpace_eq | [
{
"state_after": "𝕜 : Type u_3\n𝕜₂ : Type u_4\n𝕜₃ : Type ?u.578081\nE : Type u_1\nEₗ : Type ?u.578087\nF : Type u_2\nFₗ : Type ?u.578093\nG : Type ?u.578096\nGₗ : Type ?u.578099\n𝓕 : Type ?u.578102\ninst✝¹⁷ : SeminormedAddCommGroup E\ninst✝¹⁶ : SeminormedAddCommGroup Eₗ\ninst✝¹⁵ : SeminormedAddCommGroup F\n... | [
394,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
388,
11
] |
Mathlib/FieldTheory/Adjoin.lean | IntermediateField.card_algHom_adjoin_integral | [
{
"state_after": "no goals",
"state_before": "F : Type u_1\ninst✝⁴ : Field F\nE : Type u_2\ninst✝³ : Field E\ninst✝² : Algebra F E\nα : E\nK : Type u_3\ninst✝¹ : Field K\ninst✝ : Algebra F K\nh : IsIntegral F α\nh_sep : Separable (minpoly F α)\nh_splits : Splits (algebraMap F K) (minpoly F α)\n⊢ Fintype.car... | [
908,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
904,
1
] |
Mathlib/Data/Multiset/Bind.lean | Multiset.join_add | [] | [
61,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/LinearAlgebra/TensorProduct.lean | LinearMap.rTensor_comp | [
{
"state_after": "case H.h.h\nR : Type u_4\ninst✝¹⁴ : CommSemiring R\nR' : Type ?u.1245030\ninst✝¹³ : Monoid R'\nR'' : Type ?u.1245036\ninst✝¹² : Semiring R''\nM : Type u_1\nN : Type u_2\nP : Type u_5\nQ : Type u_3\nS : Type ?u.1245054\ninst✝¹¹ : AddCommMonoid M\ninst✝¹⁰ : AddCommMonoid N\ninst✝⁹ : AddCommMonoi... | [
1077,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1075,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.coe_mul | [] | [
432,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
431,
1
] |
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