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/Order/Filter/Basic.lean | Filter.set_eventuallyLE_iff_mem_inf_principal | [] | [
1738,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1736,
1
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Mathlib/GroupTheory/PGroup.lean | IsPGroup.disjoint_of_ne | [
{
"state_after": "p : ℕ\nG : Type u_1\ninst✝ : Group G\np₁ p₂ : ℕ\nhp₁ : Fact (Nat.Prime p₁)\nhp₂ : Fact (Nat.Prime p₂)\nhne : p₁ ≠ p₂\nH₁ H₂ : Subgroup G\nhH₁ : IsPGroup p₁ { x // x ∈ H₁ }\nhH₂ : IsPGroup p₂ { x // x ∈ H₂ }\n⊢ ∀ {x : G}, x ∈ H₁ → x ∈ H₂ → x = 1",
"state_before": "p : ℕ\nG : Type u_1\ninst✝... | [
364,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
354,
1
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Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.rpow_def | [] | [
47,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
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Mathlib/Algebra/Algebra/Equiv.lean | AlgEquiv.congr_arg | [] | [
149,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
11
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Mathlib/Algebra/Algebra/Bilinear.lean | LinearMap.pow_mulRight | [
{
"state_after": "R : Type u_2\nA : Type u_1\ninst✝² : CommSemiring R\ninst✝¹ : Semiring A\ninst✝ : Algebra R A\na : A\nn : ℕ\n⊢ ↑(flip (mul R A)) a ^ n = ↑(flip (mul R A)) (a ^ n)",
"state_before": "R : Type u_2\nA : Type u_1\ninst✝² : CommSemiring R\ninst✝¹ : Semiring A\ninst✝ : Algebra R A\na : A\nn : ℕ\... | [
229,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
1
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Mathlib/Analysis/NormedSpace/MazurUlam.lean | IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm | [] | [
126,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
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Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.eq_pow_of_pell | [
{
"state_after": "case mp\nm n k : ℕ\n⊢ n ^ k = m →\n k = 0 ∧ m = 1 ∨\n 0 < k ∧\n (n = 0 ∧ m = 0 ∨\n 0 < n ∧\n ∃ w a t z a1,\n xn a1 k ≡ yn a1 k * (a - n) + m [MOD t] ∧\n 2 * a * n = t + (n * n + 1) ∧\n m < t ∧ n ≤ w ∧ k ≤ w ∧ a * a... | [
1014,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
945,
1
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Mathlib/Order/Filter/Basic.lean | Filter.exists_iInter_of_mem_iInf | [] | [
634,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
632,
1
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | integrableOn_Ioc_iff_integrableOn_Ioo' | [
{
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655,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
650,
1
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.map_X | [] | [
1213,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1212,
1
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Mathlib/Analysis/Seminorm.lean | Seminorm.closedBall_finset_sup' | [
{
"state_after": "case h₀\nR : Type ?u.867930\nR' : Type ?u.867933\n𝕜 : Type u_1\n𝕜₂ : Type ?u.867939\n𝕜₃ : Type ?u.867942\n𝕝 : Type ?u.867945\nE : Type u_2\nE₂ : Type ?u.867951\nE₃ : Type ?u.867954\nF : Type ?u.867957\nG : Type ?u.867960\nι : Type u_3\ninst✝² : SeminormedRing 𝕜\ninst✝¹ : AddCommGroup E\ni... | [
734,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
728,
1
] |
Mathlib/MeasureTheory/Decomposition/SignedHahn.lean | MeasureTheory.SignedMeasure.exists_isCompl_positive_negative | [] | [
419,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
416,
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Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.disjoint_prod_right | [
{
"state_after": "case nil\nα : Type u_1\nf g h✝¹ : Perm α\nl : List (Perm α)\nh✝ : ∀ (g : Perm α), g ∈ l → Disjoint f g\nh : ∀ (g : Perm α), g ∈ [] → Disjoint f g\n⊢ Disjoint f (List.prod [])\n\ncase cons\nα : Type u_1\nf g✝ h✝¹ : Perm α\nl✝ : List (Perm α)\nh✝ : ∀ (g : Perm α), g ∈ l✝ → Disjoint f g\ng : Perm... | [
132,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.inter_inv | [] | [
206,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
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Mathlib/Data/Set/Intervals/Basic.lean | Set.compl_Ioi | [] | [
1076,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1075,
1
] |
Mathlib/Data/TypeVec.lean | TypeVec.split_dropFun_lastFun | [] | [
229,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
] |
Mathlib/Data/Nat/Cast/Defs.lean | Nat.cast_ite | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝¹ : AddMonoidWithOne R\nP : Prop\ninst✝ : Decidable P\nm n : ℕ\n⊢ ↑(if P then m else n) = if P then ↑m else ↑n",
"tactic": "split_ifs <;> rfl"
}
] | [
126,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/Topology/Algebra/ConstMulAction.lean | IsUnit.isClosedMap_smul | [] | [
440,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
438,
8
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.cof_sup_le | [
{
"state_after": "α : Type ?u.30174\nr : α → α → Prop\nι : Type u\nf : ι → Ordinal\nH : ∀ (i : ι), f i < sup f\n⊢ cof (sup f) ≤ Cardinal.lift (#ι)",
"state_before": "α : Type ?u.30174\nr : α → α → Prop\nι : Type u\nf : ι → Ordinal\nH : ∀ (i : ι), f i < sup f\n⊢ cof (sup f) ≤ (#ι)",
"tactic": "rw [← (#ι)... | [
353,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
350,
1
] |
Mathlib/RingTheory/Localization/AtPrime.lean | Ideal.primeCompl_le_nonZeroDivisors | [] | [
56,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Data/Matrix/Basic.lean | AddEquiv.mapMatrix_refl | [] | [
1440,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1439,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.support_sum_monomial_coeff | [] | [
918,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
916,
1
] |
Mathlib/Combinatorics/Composition.lean | Composition.coe_invEmbedding | [] | [
370,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.mul_inf_le_inf_mul_of_nonneg | [] | [
1899,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1896,
1
] |
Mathlib/Data/Dfinsupp/Order.lean | Dfinsupp.single_tsub | [
{
"state_after": "case h\nι : Type u_1\nα : ι → Type u_2\ninst✝³ : (i : ι) → CanonicallyOrderedAddMonoid (α i)\ninst✝² : (i : ι) → Sub (α i)\ninst✝¹ : ∀ (i : ι), OrderedSub (α i)\nf g : Π₀ (i : ι), α i\ni : ι\na b : α i\ninst✝ : DecidableEq ι\nj : ι\n⊢ ↑(single i (a - b)) j = ↑(single i a - single i b) j",
... | [
233,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
1
] |
Mathlib/Data/Set/Intervals/WithBotTop.lean | WithTop.preimage_coe_top | [] | [
28,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
27,
1
] |
Mathlib/RingTheory/JacobsonIdeal.lean | Ideal.IsLocal.le_jacobson | [] | [
384,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
381,
1
] |
Mathlib/Algebra/AddTorsor.lean | eq_vadd_iff_vsub_eq | [] | [
183,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
1
] |
Mathlib/Algebra/Order/ToIntervalMod.lean | toIcoDiv_apply_right | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedAddCommGroup α\nhα : Archimedean α\np : α\nhp : 0 < p\na✝ b c : α\nn : ℤ\na : α\n⊢ a + p - 1 • p ∈ Set.Ico a (a + p)",
"tactic": "simp [hp]"
}
] | [
217,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/NumberTheory/Padics/PadicNumbers.lean | PadicSeq.stationaryPoint_spec | [] | [
115,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
1
] |
Mathlib/Data/Finset/Sym.lean | Finset.isDiag_mk'_of_mem_diag | [] | [
41,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
1
] |
Mathlib/Control/Traversable/Lemmas.lean | Traversable.naturality' | [
{
"state_after": "no goals",
"state_before": "t : Type u → Type u\ninst✝⁵ : Traversable t\ninst✝⁴ : IsLawfulTraversable t\nF G : Type u → Type u\ninst✝³ : Applicative F\ninst✝² : LawfulApplicative F\ninst✝¹ : Applicative G\ninst✝ : LawfulApplicative G\nα β γ : Type u\ng : α → F β\nh : β → G γ\nf : β → γ\nx✝... | [
110,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Topology/MetricSpace/IsometricSMul.lean | nndist_inv_inv | [] | [
408,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
406,
1
] |
Mathlib/Analysis/Calculus/BumpFunctionInner.lean | ContDiffBump.eventuallyEq_one | [] | [
431,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
430,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.infsep_pair_le_toReal_inf | [
{
"state_after": "α : Type u_1\nβ : Type ?u.56359\ninst✝ : EDist α\nx y : α\ns : Set α\nhxy : x ≠ y\n⊢ ENNReal.toReal (edist x y ⊓ edist y x) ≤ ENNReal.toReal (edist x y ⊓ edist y x)",
"state_before": "α : Type u_1\nβ : Type ?u.56359\ninst✝ : EDist α\nx y : α\ns : Set α\nhxy : x ≠ y\n⊢ infsep {x, y} ≤ ENNRe... | [
376,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/Data/Int/Order/Basic.lean | Int.toNat_lt_toNat | [
{
"state_after": "case ofNat\na b✝ : ℤ\nn : ℕ\nb : ℤ\nhb : 0 < b\na✝ : ℕ\nh : toNat (ofNat a✝) < toNat b\n⊢ ofNat a✝ < b\n\ncase negSucc\na b✝ : ℤ\nn : ℕ\nb : ℤ\nhb : 0 < b\na✝ : ℕ\nh : toNat -[a✝+1] < toNat b\n⊢ -[a✝+1] < b",
"state_before": "a✝ b✝ : ℤ\nn : ℕ\na b : ℤ\nhb : 0 < b\nh : toNat a < toNat b\n⊢ ... | [
522,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
520,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Ideal.mem_colon_singleton | [
{
"state_after": "no goals",
"state_before": "R : Type u\nM : Type v\nF : Type ?u.199912\nG : Type ?u.199915\ninst✝² : CommRing R\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\nN N₁ N₂ P P₁ P₂ : Submodule R M\nI : Ideal R\nx r : R\n⊢ r ∈ colon I (Ideal.span {x}) ↔ r * x ∈ I",
"tactic": "simp only [← Idea... | [
404,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
402,
1
] |
Mathlib/Analysis/NormedSpace/Exponential.lean | expSeries_radius_pos | [
{
"state_after": "𝕂 : Type u_1\n𝔸 : Type u_2\n𝔹 : Type ?u.338474\ninst✝⁴ : IsROrC 𝕂\ninst✝³ : NormedRing 𝔸\ninst✝² : NormedAlgebra 𝕂 𝔸\ninst✝¹ : NormedRing 𝔹\ninst✝ : NormedAlgebra 𝕂 𝔹\n⊢ 0 < ⊤",
"state_before": "𝕂 : Type u_1\n𝔸 : Type u_2\n𝔹 : Type ?u.338474\ninst✝⁴ : IsROrC 𝕂\ninst✝³ : Norme... | [
407,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
405,
1
] |
Mathlib/Data/Set/MulAntidiagonal.lean | Set.mem_mulAntidiagonal | [] | [
36,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
35,
1
] |
Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.lift_surjective_iff | [] | [
582,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
580,
1
] |
Mathlib/Data/List/Intervals.lean | List.Ico.pairwise_lt | [
{
"state_after": "n m : ℕ\n⊢ Pairwise (fun x x_1 => x < x_1) (range' n (m - n))",
"state_before": "n m : ℕ\n⊢ Pairwise (fun x x_1 => x < x_1) (Ico n m)",
"tactic": "dsimp [Ico]"
},
{
"state_after": "no goals",
"state_before": "n m : ℕ\n⊢ Pairwise (fun x x_1 => x < x_1) (range' n (m - n))",
... | [
56,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
54,
1
] |
Mathlib/Data/List/Perm.lean | List.rel_perm_imp | [
{
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378,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/MeasureTheory/Covering/LiminfLimsup.lean | blimsup_cthickening_ae_le_of_eventually_mul_le | [
{
"state_after": "α : Type u_1\ninst✝⁵ : MetricSpace α\ninst✝⁴ : SecondCountableTopology α\ninst✝³ : MeasurableSpace α\ninst✝² : BorelSpace α\nμ : MeasureTheory.Measure α\ninst✝¹ : IsLocallyFiniteMeasure μ\ninst✝ : IsUnifLocDoublingMeasure μ\np : ℕ → Prop\ns : ℕ → Set α\nM : ℝ\nhM : 0 < M\nr₁ r₂ : ℕ → ℝ\nhr : T... | [
180,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/FieldTheory/PerfectClosure.lean | commute_frobenius_pthRoot | [] | [
94,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.diff_iUnion | [
{
"state_after": "α : Type ?u.72035\nβ : Type u_2\nγ : Type ?u.72041\nι : Sort u_1\nι' : Sort ?u.72047\nι₂ : Sort ?u.72050\nκ : ι → Sort ?u.72055\nκ₁ : ι → Sort ?u.72060\nκ₂ : ι → Sort ?u.72065\nκ' : ι' → Sort ?u.72070\ninst✝ : Nonempty ι\ns : Set β\nt : ι → Set β\n⊢ (⋂ (i : ι), s ∩ t iᶜ) = ⋂ (i : ι), s \\ t i"... | [
569,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
568,
1
] |
Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.gcd_map | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝¹ : Field R\np q : R[X]\ninst✝ : Field k\nf : R →+* k\nx : R[X]\n⊢ EuclideanDomain.gcd (map f 0) (map f x) = map f (EuclideanDomain.gcd 0 x)",
"tactic": "simp_rw [Polynomial.map_zero, Eucli... | [
321,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
319,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.continuous_sin | [
{
"state_after": "⊢ Continuous fun z => (exp (-z * I) - exp (z * I)) * I / 2",
"state_before": "⊢ Continuous sin",
"tactic": "change Continuous fun z => (exp (-z * I) - exp (z * I)) * I / 2"
},
{
"state_after": "no goals",
"state_before": "⊢ Continuous fun z => (exp (-z * I) - exp (z * I)) *... | [
56,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
54,
1
] |
Mathlib/Algebra/Algebra/Equiv.lean | AlgEquiv.coe_ofBijective | [] | [
522,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
520,
1
] |
Mathlib/Order/Bounded.lean | Set.unbounded_le_of_forall_exists_lt | [] | [
43,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
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Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.nnnorm_eq | [] | [
123,
25
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121,
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Mathlib/Data/Set/Finite.lean | Set.empty_card | [] | [
1191,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1190,
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Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.iSup_induction | [
{
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.comap_iInf | [
{
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Mathlib/Data/Set/Intervals/Pi.lean | Set.image_update_Icc | [
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142,
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131,
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Mathlib/Algebra/Module/LocalizedModule.lean | IsLocalizedModule.iso_apply_mk | [] | [
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Mathlib/Analysis/LocallyConvex/Polar.lean | LinearMap.zero_mem_polar | [
{
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74,
47
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Mathlib/Data/Set/Pairwise/Basic.lean | Set.PairwiseDisjoint.mono_on | [] | [
254,
85
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253,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_const_mul_left_iff' | [] | [
1498,
81
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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.eq_of_eq_graph | [
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.mem_map | [] | [
490,
22
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Mathlib/Analysis/Calculus/IteratedDeriv.lean | iteratedFDeriv_eq_equiv_comp | [
{
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236,
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Mathlib/Topology/Sheaves/Sheaf.lean | TopCat.Presheaf.isSheaf_unit | [
{
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Mathlib/Topology/Basic.lean | OrderTop.tendsto_atTop_nhds | [] | [
1060,
53
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1058,
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Mathlib/Logic/Function/Basic.lean | Function.Surjective.comp_left | [] | [
527,
60
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525,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean | Real.contDiffAt_arccos | [] | [
151,
49
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150,
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Mathlib/Computability/Language.lean | Language.mul_iSup | [] | [
224,
28
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222,
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Mathlib/Data/Fin/Tuple/Basic.lean | Fin.elim0'_append | [] | [
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332,
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Mathlib/Algebra/Module/LinearMap.lean | preimage_smul_set | [] | [
393,
35
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391,
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Mathlib/LinearAlgebra/Eigenspace/Basic.lean | Module.End.exp_ne_zero_of_hasGeneralizedEigenvalue | [
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296,
27
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Mathlib/Logic/Denumerable.lean | Nat.Subtype.ofNat_surjective_aux | [
{
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305,
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282,
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.snormEssSup_indicator_le | [
{
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561,
36
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557,
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPolynomial.coeToMvPowerSeries.ringHom_apply | [] | [
1178,
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1177,
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Mathlib/Logic/Equiv/Defs.lean | Equiv.coe_refl | [] | [
261,
62
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261,
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Mathlib/Data/Polynomial/Monic.lean | Polynomial.Monic.nextCoeff_multiset_prod | [
{
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290,
87
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279,
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Mathlib/Algebra/Homology/ImageToKernel.lean | imageToKernel_comp_right | [
{
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{
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106,
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102,
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Mathlib/MeasureTheory/Covering/Differentiation.lean | VitaliFamily.ae_tendsto_rnDeriv | [
{
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732,
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717,
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Mathlib/Algebra/Lie/Nilpotent.lean | LieAlgebra.iInf_max_gen_zero_eigenspace_eq_top_of_nilpotent | [] | [
542,
67
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540,
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Mathlib/Topology/Instances/ENNReal.lean | NNReal.summable_iff_not_tendsto_nat_atTop | [
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] | [
1144,
76
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Mathlib/Analysis/Convex/Between.lean | wbtw_or_wbtw_smul_vadd_of_nonpos | [
{
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792,
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | Associates.factors_mk | [
{
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1444,
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1441,
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Mathlib/Logic/Relation.lean | Relation.transitive_transGen | [] | [
464,
84
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464,
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Std/Data/List/Lemmas.lean | List.sublist_append_of_sublist_left | [] | [
353,
36
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352,
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Mathlib/Order/LatticeIntervals.lean | Set.Iic.coe_top | [] | [
95,
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94,
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Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.map_comp_obj' | [] | [
200,
6
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198,
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Mathlib/Data/QPF/Multivariate/Constructions/Comp.lean | MvQPF.Comp.get_map | [] | [
77,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
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Mathlib/GroupTheory/Coset.lean | mem_own_rightCoset | [
{
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] | [
180,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
178,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.coe_one | [] | [
710,
6
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709,
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Mathlib/RingTheory/PrincipalIdealDomain.lean | exists_gcd_eq_mul_add_mul | [
{
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] | [
384,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
383,
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Mathlib/Topology/UniformSpace/Basic.lean | uniformContinuous_subtype_val | [] | [
1491,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1489,
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Std/Logic.lean | ne_comm | [] | [
772,
68
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772,
1
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Mathlib/Topology/MetricSpace/Holder.lean | HolderOnWith.comp | [
{
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129,
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123,
1
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.infsep_pair | [
{
"state_after": "α : Type u_1\nβ : Type ?u.61000\ninst✝ : PseudoMetricSpace α\nx y z : α\ns t : Set α\n⊢ ENNReal.toReal (ENNReal.ofReal (dist x y)) = dist x y",
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436,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
434,
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Mathlib/LinearAlgebra/Trace.lean | LinearMap.traceAux_def | [] | [
65,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
63,
1
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Mathlib/LinearAlgebra/Basis.lean | Basis.finTwoProd_one | [
{
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1345,
51
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1344,
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Mathlib/Data/MvPolynomial/Equiv.lean | MvPolynomial.sumToIter_C | [] | [
172,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
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Mathlib/Order/Filter/Extr.lean | IsExtrFilter.comp_mono | [] | [
323,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
321,
1
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Mathlib/RingTheory/GradedAlgebra/Radical.lean | HomogeneousIdeal.coe_radical | [] | [
194,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Combinatorics/Composition.lean | Composition.sizeUpTo_succ' | [] | [
245,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Mathlib/Order/Bounds/Basic.lean | IsGreatest.upperBounds_eq | [] | [
299,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
1
] |
Mathlib/Algebra/Group/Basic.lean | div_eq_div_iff_div_eq_div | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.75761\nβ : Type ?u.75764\nG : Type u_1\ninst✝ : CommGroup G\na b c d : G\n⊢ a / b = c / d ↔ a / c = b / d",
"tactic": "rw [div_eq_iff_eq_mul, div_mul_eq_mul_div, div_eq_iff_eq_mul', mul_div_assoc]"
}
] | [
1026,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1025,
1
] |
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