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/SubsetProperties.lean | nhdsContainBoxes_of_singleton | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nι : Type ?u.56931\nπ : ι → Type ?u.56936\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns t : Set α\nx : α\ny : β\nn : Set (α × β)\nhn : IsOpen n\nhp : {x} ×ˢ {y} ⊆ n\n⊢ (x, y) ∈ {x} ×ˢ {y}",
"tactic": "simp"
},
{
"... | [
663,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/Data/List/Lemmas.lean | List.injOn_insertNth_index_of_not_mem | [
{
"state_after": "case nil\nα : Type u_1\nβ : Type ?u.14\nγ : Type ?u.17\nl : List α\nx : α\nhx✝ : ¬x ∈ l\nhx : ¬x ∈ []\n⊢ Set.InjOn (fun k => insertNth k x []) {n | n ≤ length []}\n\ncase cons\nα : Type u_1\nβ : Type ?u.14\nγ : Type ?u.17\nl : List α\nx : α\nhx✝ : ¬x ∈ l\nhd : α\ntl : List α\nIH : ¬x ∈ tl → Se... | [
44,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
26,
1
] |
Mathlib/Data/List/Basic.lean | List.indexOf_nthLe | [] | [
1411,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1410,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_pow | [] | [
1458,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1457,
1
] |
Mathlib/Topology/Order/Basic.lean | gt_mem_nhds | [] | [
920,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
919,
1
] |
Mathlib/Data/Finset/NAry.lean | Set.toFinset_image2 | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nα' : Type ?u.106504\nβ : Type u_2\nβ' : Type ?u.106510\nγ : Type u_3\nγ' : Type ?u.106516\nδ : Type ?u.106519\nδ' : Type ?u.106522\nε : Type ?u.106525\nε' : Type ?u.106528\nζ : Type ?u.106531\nζ' : Type ?u.106534\nν : Type ?u.106537\ninst✝³ : Decid... | [
560,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
558,
1
] |
Mathlib/Order/SymmDiff.lean | bihimp_inf_sup | [] | [
312,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
] |
Mathlib/Logic/Basic.lean | bex_or | [] | [
1105,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1104,
1
] |
Mathlib/Topology/Algebra/Group/Basic.lean | isOpenMap_inv | [] | [
344,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
343,
1
] |
Mathlib/Algebra/Polynomial/BigOperators.lean | Polynomial.natDegree_sum_le | [
{
"state_after": "no goals",
"state_before": "R : Type u\nι : Type w\ns : Finset ι\nS : Type u_1\ninst✝ : Semiring S\nf : ι → S[X]\n⊢ natDegree (∑ i in s, f i) ≤ Finset.fold max 0 (natDegree ∘ f) s",
"tactic": "simpa using natDegree_multiset_sum_le (s.val.map f)"
}
] | [
62,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Data/Set/Image.lean | Set.image_id | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.39809\nγ : Type ?u.39812\nι : Sort ?u.39815\nι' : Sort ?u.39818\nf : α → β\ns✝ t s : Set α\n⊢ id '' s = s",
"tactic": "simp"
}
] | [
380,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/Data/Finsupp/Order.lean | Finsupp.inf_apply | [] | [
103,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.ext_of_generateFrom_of_cover_subset | [
{
"state_after": "α : Type u_1\nβ : Type ?u.322475\nγ : Type ?u.322478\nδ : Type ?u.322481\nι : Type ?u.322484\nR : Type ?u.322487\nR' : Type ?u.322490\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set α\nS T : Set (Set α)\nh_gen : m0... | [
1947,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1941,
1
] |
Mathlib/Geometry/Euclidean/Basic.lean | EuclideanGeometry.dist_orthogonalProjection_ne_zero_of_not_mem | [] | [
425,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
1
] |
Mathlib/Data/Real/CauSeq.lean | CauSeq.const_equiv | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\ninst✝² : LinearOrderedField α\ninst✝¹ : Ring β\nabv : β → α\ninst✝ : IsAbsoluteValue abv\nx y : β\n⊢ LimZero (const x - const y) ↔ x = y",
"tactic": "rw [← const_sub, const_limZero, sub_eq_zero]"
}
] | [
560,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
559,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tendsto_nhds_of_Icc | [
{
"state_after": "α : Type u_1\nβ : Type ?u.73089\nγ : Type ?u.73092\na✝ b c d : ℝ≥0∞\nr p q : ℝ≥0\nx y z ε ε₁ ε₂ : ℝ≥0∞\ns : Set ℝ≥0∞\nf : Filter α\nu : α → ℝ≥0∞\na : ℝ≥0∞\nh : ∀ (ε : ℝ≥0∞), ε > 0 → ∀ᶠ (x : α) in f, u x ∈ Icc (a - ε) (a + ε)\n⊢ Tendsto u f (⨅ (ε : ℝ≥0∞) (_ : ε > 0), 𝓟 (Icc (a - ε) (a + ε)))",... | [
273,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
11
] |
Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.symm_image_image_of_subset_source | [] | [
530,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
529,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂_comp_left | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS₁ : Type v\nS₂✝ : Type w\nS₃ : Type x\nσ : Type u_2\na a' a₁ a₂ : R\ne : ℕ\nn m : σ\ns : σ →₀ ℕ\ninst✝² : CommSemiring R\ninst✝¹ : CommSemiring S₁\np✝ q : MvPolynomial σ R\nf✝ : R →+* S₁\ng✝ : σ → S₁\nS₂ : Type u_1\ninst✝ : CommSemiring S₂\nk : S₁ →... | [
1077,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1074,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | Real.continuousAt_const_rpow | [
{
"state_after": "a b : ℝ\nh : a ≠ 0\nthis : rpow a = fun x => (↑a ^ ↑x).re\n⊢ ContinuousAt (rpow a) b",
"state_before": "a b : ℝ\nh : a ≠ 0\n⊢ ContinuousAt (rpow a) b",
"tactic": "have : rpow a = fun x : ℝ => ((a : ℂ) ^ (x : ℂ)).re := by\n ext1 x\n rw [rpow_eq_pow, rpow_def]"
},
{
"state_afte... | [
189,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
1
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm'_norm_rpow | [
{
"state_after": "α : Type u_1\nE : Type ?u.1597979\nF : Type u_2\nG : Type ?u.1597985\nm m0 : MeasurableSpace α\np✝ : ℝ≥0∞\nq✝ : ℝ\nμ ν : Measure α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedAddCommGroup G\nf : α → F\np q : ℝ\nhq_pos : 0 < q\n⊢ (∫⁻ (a : α), ↑‖‖f a‖ ^ q‖₊ ^ p ∂... | [
489,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
1
] |
Mathlib/Analysis/InnerProductSpace/Basic.lean | abs_real_inner_le_norm | [] | [
1111,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1110,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.toL1_smul' | [] | [
1427,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1425,
1
] |
Mathlib/Algebra/Group/Basic.lean | div_mul_div_cancel'' | [
{
"state_after": "α : Type ?u.73822\nβ : Type ?u.73825\nG : Type u_1\ninst✝ : CommGroup G\na✝ b✝ c✝ d a b c : G\n⊢ c / a * (a / b) = c / b",
"state_before": "α : Type ?u.73822\nβ : Type ?u.73825\nG : Type u_1\ninst✝ : CommGroup G\na✝ b✝ c✝ d a b c : G\n⊢ a / b * (c / a) = c / b",
"tactic": "rw [mul_comm... | [
1001,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1000,
1
] |
Mathlib/Topology/Algebra/Algebra.lean | Algebra.self_mem_elementalAlgebra | [] | [
179,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
1
] |
Mathlib/CategoryTheory/Generator.lean | CategoryTheory.IsCodetector.isCoseparator | [] | [
445,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
444,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Complex.abs_cpow_le | [
{
"state_after": "case inr\nw : ℂ\n⊢ ↑abs (0 ^ w) ≤ 0 ^ w.re / Real.exp (arg 0 * w.im)",
"state_before": "z w : ℂ\n⊢ ↑abs (z ^ w) ≤ ↑abs z ^ w.re / Real.exp (arg z * w.im)",
"tactic": "rcases ne_or_eq z 0 with (hz | rfl) <;> [exact (abs_cpow_of_ne_zero hz w).le; rw [map_zero]]"
},
{
"state_after... | [
280,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
1
] |
Mathlib/Topology/Basic.lean | interior_iInter_subset | [] | [
390,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
389,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.cons_subset_cons | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.39773\nγ : Type ?u.39776\ns t : Finset α\na b : α\nhs : ¬a ∈ s\nht : ¬a ∈ t\n⊢ cons a s hs ⊆ cons a t ht ↔ s ⊆ t",
"tactic": "rwa [← coe_subset, coe_cons, coe_cons, Set.insert_subset_insert_iff, coe_subset]"
}
] | [
894,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
893,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.normSq_conj | [
{
"state_after": "no goals",
"state_before": "K : Type u_1\nE : Type ?u.4535146\ninst✝ : IsROrC K\nz : K\n⊢ ↑normSq (↑(starRingEnd K) z) = ↑normSq z",
"tactic": "simp only [normSq_apply, neg_mul, mul_neg, neg_neg, isROrC_simps]"
}
] | [
503,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
502,
1
] |
Mathlib/Topology/Order/Basic.lean | Filter.Tendsto.max_right | [
{
"state_after": "case h.e'_5.h.e'_3\nα : Type u\nβ : Type v\nγ : Type w\ninst✝² : TopologicalSpace α\ninst✝¹ : LinearOrder α\ninst✝ : OrderClosedTopology α\nf g : β → α\nl : Filter β\na : α\nh : Tendsto f l (𝓝 a)\n⊢ a = ((fun p => max p.fst p.snd) ∘ fun b => (a, b)) a",
"state_before": "α : Type u\nβ : Ty... | [
714,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
711,
11
] |
Mathlib/Data/Int/GCD.lean | Int.gcd_dvd_gcd_mul_left_right | [] | [
354,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/NumberTheory/RamificationInertia.lean | Ideal.Factors.inertiaDeg_ne_zero | [
{
"state_after": "R : Type u\ninst✝⁶ : CommRing R\nS : Type v\ninst✝⁵ : CommRing S\nf : R →+* S\np : Ideal R\nP✝ : Ideal S\ninst✝⁴ : IsDomain S\ninst✝³ : IsDedekindDomain S\ninst✝² : Algebra R S\ninst✝¹ : IsNoetherian R S\ninst✝ : IsMaximal p\nP : { x // x ∈ Multiset.toFinset (factors (map (algebraMap R S) p)) ... | [
749,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
747,
1
] |
Mathlib/Data/Nat/Size.lean | Nat.one_shiftl | [] | [
42,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
41,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.iInf_sets_induct | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.113425\nι : Sort x\nf✝ g : Filter α\ns✝ t : Set α\nf : ι → Filter α\ns : Set α\nhs : ∃ t, s ∈ ⨅ (i : PLift ι) (_ : i ∈ t), f i.down\np : Set α → Prop\nuni : p univ\nins : ∀ {i : ι} {s₁ s₂ : Set α}, s₁ ∈ f i → p s₂ → p (s₁ ∩ s₂)\n⊢ p s",
"stat... | [
958,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
948,
1
] |
Mathlib/Algebra/Order/Hom/Monoid.lean | OrderMonoidHom.toFun_eq_coe | [] | [
318,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean | hasDerivAt_of_tendstoUniformlyOn | [] | [
560,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
555,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.self_mem_ae_restrict | [
{
"state_after": "α : Type u_1\nβ : Type ?u.588993\nγ : Type ?u.588996\nδ : Type ?u.588999\nι : Type ?u.589002\nR : Type ?u.589005\nR' : Type ?u.589008\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns✝ s' t s : Set α\nhs : MeasurableSet s\n⊢ ∃ ... | [
2921,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2919,
1
] |
Mathlib/GroupTheory/Subsemigroup/Centralizer.lean | Subsemigroup.centralizer_le | [] | [
201,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
] |
Mathlib/RingTheory/SimpleModule.lean | LinearMap.bijective_or_eq_zero | [
{
"state_after": "case pos\nR : Type u_1\ninst✝⁶ : Ring R\nM : Type u_2\ninst✝⁵ : AddCommGroup M\ninst✝⁴ : Module R M\nm : Submodule R M\nN : Type u_3\ninst✝³ : AddCommGroup N\ninst✝² : Module R N\ninst✝¹ : IsSimpleModule R M\ninst✝ : IsSimpleModule R N\nf : M →ₗ[R] N\nh : f = 0\n⊢ Function.Bijective ↑f ∨ f = 0... | [
160,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/Topology/Algebra/GroupWithZero.lean | Homeomorph.coe_mulRight₀ | [] | [
270,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
1
] |
Mathlib/Data/Sym/Sym2.lean | Sym2.Rel.trans | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.533\nγ : Type ?u.536\nx y z : α × α\na : Rel α x y\nb : Rel α y z\n⊢ Rel α x z",
"tactic": "aesop (rule_sets [Sym2])"
}
] | [
81,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.eq_zero_of_subset_zero | [] | [
428,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/FieldTheory/Separable.lean | IsSeparable.isIntegral | [] | [
506,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
505,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | HasFDerivAtFilter.mono | [] | [
354,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
352,
8
] |
Mathlib/LinearAlgebra/Finsupp.lean | LinearMap.splittingOfFunOnFintypeSurjective_injective | [] | [
1267,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1265,
1
] |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.closure_thickening_subset_cthickening | [] | [
1143,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1141,
1
] |
Mathlib/GroupTheory/SpecificGroups/Quaternion.lean | QuaternionGroup.xa_mul_a | [] | [
126,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/Algebra/Star/StarAlgHom.lean | NonUnitalStarAlgHom.coe_copy | [] | [
163,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
1
] |
Mathlib/Data/Finset/Pi.lean | Finset.pi_singletons | [
{
"state_after": "α : Type u_2\nβ✝ : α → Type u\nδ : α → Sort v\ninst✝ : DecidableEq α\nβ : Type u_1\ns : Finset α\nf : α → β\n⊢ ((fun a x => f a) ∈ pi s fun a => {f a}) ∧ ∀ (x : (a : α) → a ∈ s → β), (x ∈ pi s fun a => {f a}) → x = fun a x => f a",
"state_before": "α : Type u_2\nβ✝ : α → Type u\nδ : α → So... | [
122,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean | Real.neg_pi_div_two_eq_arcsin | [] | [
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41
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264,
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Mathlib/Init/Meta/WellFoundedTactics.lean | Nat.lt_add_of_zero_lt_left | [
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | fderiv_clm_apply | [] | [
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Mathlib/Data/Set/Equitable.lean | Set.Subsingleton.equitableOn | [
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Mathlib/Algebra/Group/ULift.lean | ULift.one_down | [] | [
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Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.fst_sub | [] | [
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Mathlib/Logic/Relation.lean | Relation.ReflTransGen.lift' | [
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564,
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Std/Data/Int/DivMod.lean | Int.mul_emod_left | [
{
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Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.inv_mul_cancel_left_of_invertible | [] | [
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Mathlib/Data/QPF/Multivariate/Constructions/Const.lean | MvQPF.Const.map_mk | [] | [
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Mathlib/Order/SemiconjSup.lean | IsOrderRightAdjoint.comp_orderIso | [
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Mathlib/Order/LiminfLimsup.lean | Filter.IsBoundedUnder.mono | [] | [
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Mathlib/Topology/Algebra/ContinuousAffineMap.lean | ContinuousAffineMap.coe_sub | [] | [
233,
60
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233,
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Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean | CategoryTheory.Limits.inr_pushoutZeroZeroIso_inv | [
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230,
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Mathlib/Topology/Semicontinuous.lean | upperSemicontinuousWithinAt_sum | [] | [
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Mathlib/Analysis/Normed/Field/Basic.lean | norm_mul | [] | [
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Mathlib/FieldTheory/Subfield.lean | Subfield.list_prod_mem | [] | [
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Mathlib/Data/Real/CauSeq.lean | CauSeq.mul_limZero_left | [
{
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Mathlib/CategoryTheory/Preadditive/Basic.lean | CategoryTheory.Preadditive.kernelForkOfFork_ofι | [
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Mathlib/CategoryTheory/Subobject/Limits.lean | CategoryTheory.Limits.image_map_comp_imageSubobjectIso_inv | [
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Std/Data/RBMap/WF.lean | Std.RBNode.Balanced.map | [] | [
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Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | NNReal.rpow_lt_rpow_iff | [] | [
153,
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152,
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src/lean/Init/Control/Lawful.lean | ExceptT.lift_pure | [
{
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Mathlib/Order/Monotone/Basic.lean | StrictAntiOn.le_iff_le | [] | [
781,
32
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Mathlib/Analysis/Calculus/LagrangeMultipliers.lean | IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt | [
{
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.DominatedFinMeasAdditive.of_measure_le | [
{
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Mathlib/Order/Heyting/Hom.lean | BiheytingHom.id_comp | [] | [
602,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
601,
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Mathlib/RingTheory/Polynomial/Content.lean | Polynomial.isPrimitive_iff_isUnit_of_C_dvd | [] | [
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Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean | CategoryTheory.Limits.BinaryFan.assocInv_fst | [] | [
130,
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Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.neg_apply | [] | [
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1103,
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | le_one_of_mul_le_right | [
{
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52
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376,
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Mathlib/GroupTheory/Commensurable.lean | Commensurable.trans | [] | [
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93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
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Mathlib/Analysis/SpecificLimits/Normed.lean | summable_geometric_of_abs_lt_1 | [] | [
310,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
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Mathlib/Analysis/Convex/Quasiconvex.lean | AntitoneOn.quasilinearOn | [] | [
205,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
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Mathlib/MeasureTheory/MeasurableSpace.lean | measurable_piEquivPiSubtypeProd_symm | [
{
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Mathlib/Algebra/AddTorsor.lean | vsub_eq_zero_iff_eq | [] | [
140,
56
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139,
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Mathlib/GroupTheory/Coset.lean | rightCoset_eq_iff | [
{
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{
"state_after": "... | [
299,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.mem_support_iff | [
{
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Mathlib/Algebra/GradedMonoid.lean | SetLike.list_prod_map_mem_graded | [
{
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Mathlib/Order/Heyting/Boundary.lean | Coheyting.boundary_le_boundary_sup_sup_boundary_inf_left | [
{
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120,
67
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108,
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_congr_ae | [] | [
320,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
319,
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Mathlib/Data/Set/Sigma.lean | Set.exists_sigma_iff | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.map_mk_nhdsWithin_preimage | [
{
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Mathlib/Analysis/Complex/UnitDisc/Basic.lean | Complex.UnitDisc.one_add_coe_ne_zero | [] | [
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Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.zero_mass | [] | [
174,
6
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173,
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Mathlib/LinearAlgebra/LinearIndependent.lean | not_linearIndependent_iff | [
{
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | UniqueFactorizationMonoid.multiplicative_prime_power | [
{
"state_after": "α : Type u_1\nR : Type ?u.1623144\ninst✝⁴ : CancelCommMonoidWithZero R\ninst✝³ : UniqueFactorizationMonoid R\ninst✝² : CancelCommMonoidWithZero α\ninst✝¹ : UniqueFactorizationMonoid α\nβ : Type u_2\ninst✝ : CancelCommMonoidWithZero β\nf : α → β\ns : Finset α\ni j : α → ℕ\nis_prime : ∀ (p : α),... | [
1134,
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Mathlib/Init/Algebra/Order.lean | le_total | [] | [
300,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.order_of_ne | [] | [
231,
13
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229,
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Mathlib/Data/Polynomial/Div.lean | Polynomial.modByMonic_zero | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : Ring R\np✝ q p : R[X]\nh : Monic 0\nthis : Subsingleton R\n⊢ p %ₘ 0 = p",
"state_before": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : Ring R\np✝ q p : R[X]\nh : Monic 0\n⊢ p %ₘ 0 = p",
... | [
195,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
1
] |
Mathlib/Data/Polynomial/Degree/TrailingDegree.lean | Polynomial.trailingDegree_lt_wf | [] | [
54,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
] |
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