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/PartialSups.lean | le_partialSups | [] | [
73,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.coe_toNNReal_le_self | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.18443\nβ : Type ?u.18446\na b c d : ℝ≥0∞\nr✝ p q r : ℝ≥0\n⊢ ↑(ENNReal.toNNReal ↑r) ≤ ↑r",
"tactic": "rw [toNNReal_coe]"
}
] | [
197,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/Data/Real/Irrational.lean | Irrational.ne_int | [
{
"state_after": "x : ℝ\nh : Irrational x\nm : ℤ\n⊢ x ≠ ↑↑m",
"state_before": "x : ℝ\nh : Irrational x\nm : ℤ\n⊢ x ≠ ↑m",
"tactic": "rw [← Rat.cast_coe_int]"
},
{
"state_after": "no goals",
"state_before": "x : ℝ\nh : Irrational x\nm : ℤ\n⊢ x ≠ ↑↑m",
"tactic": "exact h.ne_rat _"
}
] | [
168,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.sup_attach | [] | [
167,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean | Polynomial.degree_cyclotomic_pos | [
{
"state_after": "n : ℕ\nR : Type u_1\nhpos : 0 < n\ninst✝¹ : Ring R\ninst✝ : Nontrivial R\n⊢ 0 < Nat.totient n",
"state_before": "n : ℕ\nR : Type u_1\nhpos : 0 < n\ninst✝¹ : Ring R\ninst✝ : Nontrivial R\n⊢ 0 < degree (cyclotomic n R)",
"tactic": "rw [degree_cyclotomic n R, Nat.cast_pos]"
},
{
"... | [
359,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
] |
Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.domDomCongr_mul | [] | [
737,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
734,
1
] |
Mathlib/Algebra/GroupPower/Lemmas.lean | zpow_lt_zpow_iff | [] | [
367,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
1
] |
Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousMultilinearMap.compContinuousLinearMapL_apply | [] | [
1195,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1193,
1
] |
src/lean/Init/Data/Nat/Basic.lean | Nat.le_sub_of_add_le | [
{
"state_after": "no goals",
"state_before": "a b c : Nat\nh : a + b ≤ c\n⊢ a ≤ c - b",
"tactic": "match le.dest h with\n| ⟨d, hd⟩ =>\n apply @le.intro _ _ d\n have hd : a + d + b = c := by simp [← hd, Nat.add_comm, Nat.add_assoc, Nat.add_left_comm]\n have hd := Nat.sub_eq_of_eq_add hd.symm\n exact ... | [
666,
18
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
660,
1
] |
Mathlib/Data/List/Basic.lean | List.map₂Right_eq_map₂Right' | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.475857\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\nf : Option α → β → γ\na : α\nas : List α\nb : β\nbs : List β\n⊢ map₂Right f as bs = (map₂Right' f as bs).fst",
"tactic": "simp only [map₂Right, map₂Right', map₂Left_eq_map₂Le... | [
4157,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4156,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Split.lean | BoxIntegral.Prepartition.eventually_splitMany_inf_eq_filter | [
{
"state_after": "ι : Type u_1\nM : Type ?u.51952\nn : ℕ\nI J : Box ι\ni : ι\nx : ℝ\ninst✝ : Finite ι\nπ : Prepartition I\nt : Finset (ι × ℝ)\nht : ∀ (I_1 J : Box ι), J ∈ π.boxes → ∀ (J' : Box ι), J' ∈ splitMany I_1 t → ¬Disjoint ↑J ↑J' → J' ≤ J\n⊢ π ⊓ splitMany I t = filter (splitMany I t) fun J => ↑J ⊆ Prepar... | [
334,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
321,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergence.lean | tendstoLocallyUniformly_iff_forall_tendsto | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝¹ : UniformSpace β\nF : ι → α → β\nf : α → β\ns s' : Set α\nx : α\np : Filter ι\np' : Filter α\ng : ι → α\ninst✝ : TopologicalSpace α\n⊢ TendstoLocallyUniformly F f p ↔ ∀ (x : α), Tendsto (fun y => (f y.snd, F... | [
627,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
624,
1
] |
Mathlib/RepresentationTheory/Basic.lean | Representation.ofModule_asModule_act | [
{
"state_after": "k : Type u_1\nG : Type u_2\nV : Type u_3\ninst✝⁵ : CommSemiring k\ninst✝⁴ : Monoid G\ninst✝³ : AddCommMonoid V\ninst✝² : Module k V\nρ : Representation k G V\nM : Type ?u.351323\ninst✝¹ : AddCommMonoid M\ninst✝ : Module (MonoidAlgebra k G) M\ng : G\nx : RestrictScalars k (MonoidAlgebra k G) (a... | [
232,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.Perm.extendDomain_apply_subtype | [
{
"state_after": "no goals",
"state_before": "α' : Type u_2\nβ' : Type u_1\ne : Perm α'\np : β' → Prop\ninst✝ : DecidablePred p\nf : α' ≃ Subtype p\nb : β'\nh : p b\n⊢ ↑(extendDomain e f) b = ↑(↑f (↑e (↑f.symm { val := b, property := h })))",
"tactic": "simp [Perm.extendDomain, h]"
}
] | [
1446,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1444,
1
] |
Mathlib/Analysis/SpecialFunctions/Exp.lean | Real.tendsto_pow_mul_exp_neg_atTop_nhds_0 | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.32561\nx✝ y z : ℝ\nl : Filter α\nn : ℕ\nx : ℝ\n⊢ ((fun r => r⁻¹) ∘ fun x => exp x / x ^ n) x = x ^ n * exp (-x)",
"tactic": "rw [comp_apply, inv_eq_one_div, div_div_eq_mul_div, one_mul, div_eq_mul_inv, exp_neg]"
}
] | [
243,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Std/Data/Rat/Lemmas.lean | Rat.mk_eq_mkRat | [
{
"state_after": "no goals",
"state_before": "num : Int\nden : Nat\nnz : den ≠ 0\nc : Nat.coprime (Int.natAbs num) den\n⊢ mk' num den = mkRat num den",
"tactic": "simp [mk_eq_normalize, normalize_eq_mkRat]"
}
] | [
95,
45
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
94,
1
] |
Mathlib/GroupTheory/Perm/Sign.lean | Equiv.Perm.perm_inv_mapsTo_of_mapsTo | [
{
"state_after": "case intro\nα : Type u\nβ : Type v\nf : Perm α\ns : Set α\ninst✝ : Finite ↑s\nh : Set.MapsTo (↑f) s s\nval✝ : Fintype ↑s\n⊢ Set.MapsTo (↑f⁻¹) s s",
"state_before": "α : Type u\nβ : Type v\nf : Perm α\ns : Set α\ninst✝ : Finite ↑s\nh : Set.MapsTo (↑f) s s\n⊢ Set.MapsTo (↑f⁻¹) s s",
"tac... | [
80,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/GroupTheory/Commutator.lean | map_commutatorElement | [
{
"state_after": "no goals",
"state_before": "G : Type u_2\nG' : Type u_1\nF : Type u_3\ninst✝² : Group G\ninst✝¹ : Group G'\ninst✝ : MonoidHomClass F G G'\nf : F\ng₁ g₂ g₃ g : G\n⊢ ↑f ⁅g₁, g₂⁆ = ⁅↑f g₁, ↑f g₂⁆",
"tactic": "simp_rw [commutatorElement_def, map_mul f, map_inv f]"
}
] | [
67,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
66,
1
] |
Mathlib/Data/Finset/Interval.lean | Finset.card_Iio_finset | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : DecidableEq α\ns t : Finset α\n⊢ card (Iio s) = 2 ^ card s - 1",
"tactic": "rw [Iio_eq_ssubsets, ssubsets, card_erase_of_mem (mem_powerset_self _), card_powerset]"
}
] | [
128,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesAt.eq_zero_of_eventually | [] | [
1029,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1027,
1
] |
Mathlib/Data/Set/Function.lean | AntitoneOn.monotone | [] | [
322,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
320,
11
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | extChartAt_coe | [] | [
1034,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1033,
1
] |
Mathlib/Topology/Separation.lean | isOpen_ne | [] | [
384,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
383,
1
] |
Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.dist_map_zero_lt_of_semiconj | [
{
"state_after": "no goals",
"state_before": "f✝ g f g₁ g₂ : CircleDeg1Lift\nh : Semiconj ↑f ↑g₁ ↑g₂\n⊢ dist (↑g₁ 0) (↑f (↑g₁ 0) - ↑f 0) + dist (↑f (↑g₁ 0) - ↑f 0) (↑g₂ 0) =\n dist (↑f 0 + ↑g₁ 0) (↑f (↑g₁ 0)) + dist (↑g₂ 0 + ↑f 0) (↑g₂ (↑f 0))",
"tactic": "simp only [h.eq, Real.dist_eq, sub_sub, add_... | [
532,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
524,
1
] |
Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean | CategoryTheory.rightAdjointMate_comp | [
{
"state_after": "C : Type u₁\ninst✝³ : Category C\ninst✝² : MonoidalCategory C\nX Y Z : C\ninst✝¹ : HasRightDual X\ninst✝ : HasRightDual Y\nf : X ⟶ Y\ng : Xᘁ ⟶ Z\n⊢ ((ρ_ Yᘁ).inv ≫ (𝟙 Yᘁ ⊗ η_ X Xᘁ) ≫ (𝟙 Yᘁ ⊗ f ⊗ 𝟙 Xᘁ) ≫ (α_ Yᘁ Y Xᘁ).inv ≫ (ε_ Y Yᘁ ⊗ 𝟙 Xᘁ) ≫ (λ_ Xᘁ).hom) ≫ g =\n (ρ_ Yᘁ).inv ≫ (𝟙 Yᘁ ⊗ η_ ... | [
205,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
] |
Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean | ProjectiveSpectrum.coe_vanishingIdeal | [
{
"state_after": "case h\nR : Type u_2\nA : Type u_1\ninst✝³ : CommSemiring R\ninst✝² : CommRing A\ninst✝¹ : Algebra R A\n𝒜 : ℕ → Submodule R A\ninst✝ : GradedAlgebra 𝒜\nt : Set (ProjectiveSpectrum 𝒜)\nf : A\n⊢ f ∈ ↑(vanishingIdeal t) ↔ f ∈ {f | ∀ (x : ProjectiveSpectrum 𝒜), x ∈ t → f ∈ x.asHomogeneousIdeal... | [
110,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/Order/InitialSeg.lean | RelEmbedding.collapse_apply | [] | [
548,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
547,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.zero_pow_eventuallyEq | [] | [
899,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
897,
1
] |
Mathlib/GroupTheory/Perm/Fin.lean | isCycle_finRotate | [
{
"state_after": "n : ℕ\nx : Fin (n + 2)\nhx' : ↑(finRotate (n + 2)) x ≠ x\n⊢ ↑(finRotate (n + 2) ^ ↑↑x) 0 = x",
"state_before": "n : ℕ\n⊢ IsCycle (finRotate (n + 2))",
"tactic": "refine' ⟨0, by simp, fun x hx' => ⟨x, _⟩⟩"
},
{
"state_after": "n : ℕ\nx : Fin (n + 2)\n⊢ ↑(finRotate (n + 2) ^ ↑↑x)... | [
133,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/RingTheory/Localization/Module.lean | SpanEqTop.localization_localization | [
{
"state_after": "R : Type u_2\nRₛ : Type u_4\ninst✝¹⁰ : CommRing R\ninst✝⁹ : CommRing Rₛ\ninst✝⁸ : Algebra R Rₛ\nS : Submonoid R\nhT : IsLocalization S Rₛ\nA : Type u_1\ninst✝⁷ : CommRing A\ninst✝⁶ : Algebra R A\nAₛ : Type u_3\ninst✝⁵ : CommRing Aₛ\ninst✝⁴ : Algebra A Aₛ\ninst✝³ : Algebra Rₛ Aₛ\ninst✝² : Algeb... | [
108,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_left' | [] | [
935,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
931,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | HasStrictFDerivAt.neg | [] | [
400,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
1
] |
Mathlib/RingTheory/WittVector/Defs.lean | WittVector.add_coeff | [] | [
360,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/Order/Height.lean | Set.le_chainHeight_iff | [] | [
123,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.map_equiv_eq_comap_symm | [] | [
600,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
1
] |
Mathlib/Algebra/Homology/Additive.lean | CochainComplex.single₀MapHomologicalComplex_hom_app_zero | [] | [
430,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
428,
1
] |
Mathlib/Topology/Category/TopCat/Limits/Products.lean | TopCat.piIsoPi_inv_π_apply | [] | [
77,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
] |
Mathlib/LinearAlgebra/StdBasis.lean | LinearMap.disjoint_stdBasis_stdBasis | [
{
"state_after": "R : Type u_3\nι : Type u_1\ninst✝³ : Semiring R\nφ : ι → Type u_2\ninst✝² : (i : ι) → AddCommMonoid (φ i)\ninst✝¹ : (i : ι) → Module R (φ i)\ninst✝ : DecidableEq ι\nI J : Set ι\nh : Disjoint I J\n⊢ Disjoint (⨅ (i : ι) (_ : i ∈ Iᶜ), ker (proj i)) (⨅ (i : ι) (_ : i ∈ Jᶜ), ker (proj i))",
"st... | [
158,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.mem_sUnion | [] | [
99,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
] |
Mathlib/InformationTheory/Hamming.lean | hammingDist_zero_left | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.19245\nι : Type u_1\nβ : ι → Type u_2\ninst✝⁴ : Fintype ι\ninst✝³ : (i : ι) → DecidableEq (β i)\nγ : ι → Type ?u.19277\ninst✝² : (i : ι) → DecidableEq (γ i)\ninst✝¹ : (i : ι) → Zero (β i)\ninst✝ : (i : ι) → Zero (γ i)\nx : (i : ι) → β i\n⊢ hammingDis... | [
174,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
1
] |
Mathlib/Data/Seq/Computation.lean | Computation.head_think | [] | [
166,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.abs_toReal_neg_coe_eq_self_iff | [
{
"state_after": "θ : ℝ\nh : 0 ≤ θ ∧ θ ≤ π\n⊢ abs (toReal (-↑θ)) = θ",
"state_before": "θ : ℝ\n⊢ abs (toReal (-↑θ)) = θ ↔ 0 ≤ θ ∧ θ ≤ π",
"tactic": "refine' ⟨fun h => h ▸ ⟨abs_nonneg _, abs_toReal_le_pi _⟩, fun h => _⟩"
},
{
"state_after": "case pos\nθ : ℝ\nh : 0 ≤ θ ∧ θ ≤ π\nhnegpi : θ = π\n⊢ a... | [
654,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
648,
1
] |
Mathlib/Logic/Equiv/Fin.lean | finSuccEquivLast_symm_some | [] | [
284,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
283,
1
] |
Std/Data/List/Lemmas.lean | List.range_loop_range' | [
{
"state_after": "s n : Nat\n⊢ range.loop (s + 1) (range' (s + 1) n) = range' 0 (n + 1 + s)",
"state_before": "s n : Nat\n⊢ range.loop (s + 1) (range' (s + 1) n) = range' 0 (n + (s + 1))",
"tactic": "rw [← Nat.add_assoc, Nat.add_right_comm n s 1]"
},
{
"state_after": "no goals",
"state_befor... | [
1888,
101
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1886,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_apply_eq_self | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type ?u.2550\nι : Type ?u.2553\nM : Type u_1\nN : Type ?u.2559\ninst✝¹ : One M\ninst✝ : One N\ns t : Set α\nf g : α → M\na : α\nthis : Decidable (a ∈ s) := Classical.dec (a ∈ s)\n⊢ ¬a ∈ s → 1 = f a ↔ ¬a ∈ s → f a = 1",
"tactic": "rw [@eq_co... | [
104,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
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Mathlib/Algebra/CubicDiscriminant.lean | Cubic.natDegree_of_b_eq_zero | [
{
"state_after": "no goals",
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"tactic": "simpa only [of_b_eq_zero ha hb] using natDegree_linear_l... | [
413,
60
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412,
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Mathlib/Combinatorics/Pigeonhole.lean | Fintype.exists_lt_sum_fiber_of_nsmul_lt_sum | [] | [
339,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
1
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPolynomial.coe_mul | [
{
"state_after": "no goals",
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}
] | [
1104,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1103,
1
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Mathlib/Order/SuccPred/Basic.lean | WithBot.succ_bot | [] | [
1211,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1210,
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Mathlib/Data/List/Destutter.lean | List.destutter_singleton | [] | [
140,
6
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139,
1
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Mathlib/Algebra/Order/Field/Basic.lean | lt_div_iff | [] | [
165,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
164,
1
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Mathlib/Algebra/ContinuedFractions/Translations.lean | GeneralizedContinuedFraction.exists_s_a_of_part_num | [
{
"state_after": "no goals",
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69,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.add | [] | [
250,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
248,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.mapRange.zeroHom_comp | [
{
"state_after": "no goals",
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199,
101
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196,
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Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.limit.lift_post | [
{
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474,
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470,
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Mathlib/Data/List/MinMax.lean | List.mem_argmin_iff | [] | [
256,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
253,
1
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Mathlib/CategoryTheory/Sites/Grothendieck.lean | CategoryTheory.GrothendieckTopology.arrow_stable | [
{
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202,
32
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199,
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Mathlib/Algebra/BigOperators/Finsupp.lean | Finsupp.sum_single | [] | [
465,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
464,
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.trans_iterate | [] | [
170,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
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Mathlib/Algebra/Algebra/Bilinear.lean | LinearMap.mulLeft_eq_zero_iff | [
{
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196,
31
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191,
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Mathlib/Data/Quot.lean | Quot.liftOn₂_mk | [] | [
143,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.apply_eq_iff_eq_symm_apply | [] | [
268,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
267,
1
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Mathlib/Data/List/Sigma.lean | List.nodupKeys_iff_pairwise | [] | [
92,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
1
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Mathlib/Analysis/Calculus/ContDiff.lean | LinearIsometry.norm_iteratedFDerivWithin_comp_left | [
{
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291,
57
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283,
1
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Mathlib/Topology/Homeomorph.lean | Homeomorph.image_interior | [
{
"state_after": "no goals",
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"tactic": "r... | [
356,
42
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355,
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Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | HasSum.hasSum_compl_iff | [
{
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858,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
853,
1
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Mathlib/Topology/Algebra/Order/Field.lean | Filter.Tendsto.neg_mul_atBot | [
{
"state_after": "no goals",
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"ta... | [
120,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
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Mathlib/Data/List/Basic.lean | List.filter_subset | [] | [
3527,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3526,
1
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Mathlib/Algebra/GroupPower/Lemmas.lean | Int.le_self_sq | [] | [
788,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
787,
1
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Mathlib/Data/Fintype/Sum.lean | Finset.univ_disjSum_univ | [] | [
35,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
33,
1
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.tendstoUniformlyOn_iff | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.30728\ninst✝ : PseudoEMetricSpace α\nι : Type u_1\nF : ι → β → α\nf : β → α\np : Filter ι\ns : Set β\nH : ∀ (ε : ℝ≥0∞), ε > 0 → ∀ᶠ (n : ι) in p, ∀ (x : β), x ∈ s → edist (f x) (F n x) < ε\nu : Set (α × α)\nhu : u ∈ 𝓤 α\n⊢ ∀ᶠ (n : ι) in p, ∀ (x : β), x ∈ s →... | [
357,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
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Mathlib/Logic/Function/Basic.lean | Bool.involutive_not | [] | [
879,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
878,
1
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Mathlib/CategoryTheory/Sites/Sheafification.lean | CategoryTheory.Meq.mk_apply | [] | [
117,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
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Mathlib/RingTheory/IntegralClosure.lean | Algebra.IsIntegral.isField_iff_isField | [] | [
1165,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1162,
1
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Mathlib/Algebra/Order/Floor.lean | Int.ceil_one | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.221196\nα : Type u_1\nβ : Type ?u.221202\ninst✝¹ : LinearOrderedRing α\ninst✝ : FloorRing α\nz : ℤ\na : α\n⊢ ⌈1⌉ = 1",
"tactic": "rw [← cast_one, ceil_intCast]"
}
] | [
1200,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1200,
1
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Mathlib/Analysis/Convex/Cone/Basic.lean | convexHull_toCone_eq_sInf | [] | [
698,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
696,
1
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Mathlib/Order/CompactlyGenerated.lean | complementedLattice_iff_isAtomistic | [
{
"state_after": "case mp\nι : Sort ?u.132411\nα : Type u_1\ninst✝² : CompleteLattice α\nf : ι → α\ninst✝¹ : IsModularLattice α\ninst✝ : IsCompactlyGenerated α\na✝ : ComplementedLattice α\n⊢ IsAtomistic α\n\ncase mpr\nι : Sort ?u.132411\nα : Type u_1\ninst✝² : CompleteLattice α\nf : ι → α\ninst✝¹ : IsModularLat... | [
631,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
628,
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Mathlib/Data/Real/Hyperreal.lean | Hyperreal.infiniteNeg_iff_infinite_of_neg | [] | [
516,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
515,
1
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Mathlib/Topology/Order.lean | generateFrom_union_isOpen | [] | [
970,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
968,
1
] |
Mathlib/Algebra/Order/Group/OrderIso.lean | OrderIso.mulLeft_symm | [
{
"state_after": "case h.h\nα : Type u\ninst✝² : Group α\ninst✝¹ : LE α\ninst✝ : CovariantClass α α (fun x x_1 => x * x_1) fun x x_1 => x ≤ x_1\na x : α\n⊢ ↑(symm (mulLeft a)) x = ↑(mulLeft a⁻¹) x",
"state_before": "α : Type u\ninst✝² : Group α\ninst✝¹ : LE α\ninst✝ : CovariantClass α α (fun x x_1 => x * x_... | [
142,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Mathlib/Order/RelIso/Basic.lean | acc_lift₂_iff | [
{
"state_after": "case mp\nα : Type u_1\nβ : Type ?u.44894\nγ : Type ?u.44897\nδ : Type ?u.44900\nr✝ : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\nu : δ → δ → Prop\ninst✝ : Setoid α\nr : α → α → Prop\nH : ∀ (a₁ b₁ a₂ b₂ : α), a₁ ≈ a₂ → b₁ ≈ b₂ → r a₁ b₁ = r a₂ b₂\na : α\n⊢ Acc (Quotient.lift₂ r H) (Quotie... | [
459,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
449,
1
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Mathlib/Order/Filter/Prod.lean | Filter.prod_map_map_eq' | [] | [
352,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
349,
1
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Mathlib/Data/Set/Lattice.lean | Set.disjoint_sUnion_left | [] | [
2102,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2100,
1
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Mathlib/Data/Quot.lean | nonempty_quotient_iff | [] | [
442,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
1
] |
Mathlib/Order/LiminfLimsup.lean | Filter.le_limsup_of_frequently_le' | [] | [
830,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
828,
1
] |
Mathlib/Order/SymmDiff.lean | symmDiff_compl_self | [] | [
775,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
774,
1
] |
Mathlib/Data/List/Basic.lean | List.map₂Right'_nil_right | [] | [
4013,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4012,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ideal.exists_maximal | [] | [
343,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
341,
1
] |
Mathlib/Data/List/Nodup.lean | List.nodup_iff_get?_ne_get? | [
{
"state_after": "α : Type u\nβ : Type v\nl✝ l₁ l₂ : List α\nr : α → α → Prop\na b : α\nl : List α\n⊢ (∀ (i j : Fin (length l)), i < j → get l i ≠ get l j) ↔ ∀ (i j : ℕ), i < j → j < length l → get? l i ≠ get? l j",
"state_before": "α : Type u\nβ : Type v\nl✝ l₁ l₂ : List α\nr : α → α → Prop\na b : α\nl : L... | [
136,
24
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127,
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Mathlib/Analysis/SpecificLimits/Basic.lean | hasSum_geometric_two' | [
{
"state_after": "case h.e'_5\nα : Type ?u.240216\nβ : Type ?u.240219\nι : Type ?u.240222\na : ℝ\n⊢ (fun n => a / 2 / 2 ^ n) = fun i => a / 2 * (1 / 2) ^ i\n\ncase h.e'_6\nα : Type ?u.240216\nβ : Type ?u.240219\nι : Type ?u.240222\na : ℝ\n⊢ a = a / 2 * (1 - 1 / 2)⁻¹",
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250,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | AEMeasurable.snd | [] | [
706,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
704,
1
] |
Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.coe_map | [] | [
428,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | isOpen_analyticAt | [
{
"state_after": "𝕜 : Type u_2\nE : Type u_1\nF : Type u_3\nG : Type ?u.2366921\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : NormedAddCommGroup E\ninst✝⁵ : NormedSpace 𝕜 E\ninst✝⁴ : NormedAddCommGroup F\ninst✝³ : NormedSpace 𝕜 F\ninst✝² : NormedAddCommGroup G\ninst✝¹ : NormedSpace 𝕜 G\ninst✝ : CompleteSpa... | [
1379,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1376,
1
] |
Mathlib/GroupTheory/OrderOfElement.lean | orderOf_dvd_of_pow_eq_one | [] | [
241,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Mathlib/Data/Finset/Lattice.lean | iInf_eq_iInf_finset' | [] | [
1842,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1840,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | ae_restrict_iff_subtype | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.1534048\nγ : Type ?u.1534051\nδ : Type ?u.1534054\nι : Type ?u.1534057\nR : Type ?u.1534060\nR' : Type ?u.1534063\nm0 : MeasurableSpace α\nμ : MeasureTheory.Measure α\ns : Set α\nhs : MeasurableSet s\np : α → Prop\n⊢ (∀ᵐ (x : α) ∂Measur... | [
4241,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4238,
1
] |
Mathlib/Data/Set/Basic.lean | Set.eq_univ_of_subset | [] | [
703,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
702,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.isIso_limit_cone_parallelPair_of_self | [] | [
872,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
871,
1
] |
Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.mem_quotient_iff_mem_sup | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nF : Type w\ninst✝¹ : CommRing R\ninst✝ : CommRing S\nI J : Ideal R\nx : R\n⊢ ↑(Quotient.mk I) x ∈ map (Quotient.mk I) J ↔ x ∈ J ⊔ I",
"tactic": "rw [← mem_comap, comap_map_of_surjective (Quotient.mk I) Quotient.mk_surjective, ←\n Rin... | [
148,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.associated_apply | [] | [
782,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
781,
1
] |
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