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 |
|---|---|---|---|---|---|---|
src/lean/Init/Control/Lawful.lean | StateT.run_get | [] | [
257,
95
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
257,
9
] |
Mathlib/Order/Ideal.lean | Order.Ideal.coe_sup_eq | [] | [
487,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
484,
1
] |
Mathlib/Topology/Basic.lean | Continuous.tendsto' | [] | [
1669,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1667,
1
] |
Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.IsInvertedBy.iff_of_iso | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\nD : Type u_2\ninst✝ : Category D\nW : MorphismProperty C\nF₁ F₂ : C ⥤ D\ne : F₁ ≅ F₂\n⊢ ∀ (X Y : C) (f : X ⟶ Y), IsIso (F₁.map f) ↔ IsIso (F₂.map f)",
"state_before": "C : Type u\ninst✝¹ : Category C\nD : Type u_2\ninst✝ : Category D\nW : MorphismProperty C... | [
514,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
503,
1
] |
Mathlib/GroupTheory/Perm/Sign.lean | Equiv.Perm.signAux_swap | [
{
"state_after": "α : Type u\nβ : Type v\ninst✝ : DecidableEq α\nx y : Fin 0\n_hxy✝ : x ≠ y\n⊢ signAux (swap x y) = -1",
"state_before": "α : Type u\nβ : Type v\ninst✝ : DecidableEq α\nx y : Fin 0\n⊢ x ≠ y → signAux (swap x y) = -1",
"tactic": "intro"
},
{
"state_after": "no goals",
"state_b... | [
469,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
459,
1
] |
Mathlib/Order/Filter/Bases.lean | Filter.generate_eq_generate_inter | [
{
"state_after": "α : Type u_1\nβ : Type ?u.15651\nγ : Type ?u.15654\nι : Sort ?u.15657\nι' : Sort ?u.15660\nl l' : Filter α\np : ι → Prop\ns✝ : ι → Set α\nt : Set α\ni : ι\np' : ι' → Prop\ns' : ι' → Set α\ni' : ι'\ns : Set (Set α)\n⊢ IsBasis.filter (_ : IsBasis (fun t => Set.Finite t ∧ t ⊆ s) fun t => ⋂₀ t) = ... | [
333,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
] |
Mathlib/Analysis/Calculus/Taylor.lean | taylorWithinEval_succ | [
{
"state_after": "𝕜 : Type ?u.131034\nE : Type u_1\nF : Type ?u.131040\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\nf : ℝ → E\nn : ℕ\ns : Set ℝ\nx₀ x : ℝ\n⊢ ↑(PolynomialModule.eval x) (taylorWithin f n s x₀) +\n ↑(PolynomialModule.eval (Polynomial.eval x (Polynomial.X - ↑Polynomial.C x₀)))\n ... | [
95,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
1
] |
Mathlib/Data/IsROrC/Lemmas.lean | IsROrC.reClm_norm | [
{
"state_after": "K : Type u_1\nE : Type ?u.115606\ninst✝ : IsROrC K\n⊢ 1 ≤ ‖LinearMap.mkContinuous reLm 1 (_ : ∀ (x : K), ‖↑reLm x‖ ≤ 1 * ‖x‖)‖",
"state_before": "K : Type u_1\nE : Type ?u.115606\ninst✝ : IsROrC K\n⊢ ‖reClm‖ = 1",
"tactic": "apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_o... | [
82,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
79,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.not_mem_uIcc_of_gt | [
{
"state_after": "ι : Type ?u.205943\nα : Type u_1\ninst✝¹ : LinearOrder α\ninst✝ : LocallyFiniteOrder α\na a₁ a₂ b b₁ b₂ c x : α\n⊢ a < c → b < c → ¬(a ⊓ b ≤ c ∧ c ≤ a ⊔ b)",
"state_before": "ι : Type ?u.205943\nα : Type u_1\ninst✝¹ : LinearOrder α\ninst✝ : LocallyFiniteOrder α\na a₁ a₂ b b₁ b₂ c x : α\n⊢ ... | [
1019,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1017,
1
] |
Mathlib/Dynamics/Ergodic/MeasurePreserving.lean | MeasureTheory.MeasurePreserving.exists_mem_image_mem_of_volume_lt_mul_volume | [
{
"state_after": "α : Type u_1\nβ : Type ?u.272685\nγ : Type ?u.272688\nδ : Type ?u.272691\ninst✝³ : MeasurableSpace α\ninst✝² : MeasurableSpace β\ninst✝¹ : MeasurableSpace γ\ninst✝ : MeasurableSpace δ\nμa : Measure α\nμb : Measure β\nμc : Measure γ\nμd : Measure δ\nμ : Measure α\nf : α → α\ns : Set α\nhf : Mea... | [
156,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/RingTheory/OreLocalization/Basic.lean | OreLocalization.oreDiv_eq_iff | [] | [
115,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
] |
Mathlib/Computability/TuringMachine.lean | Turing.BlankExtends.below_of_le | [
{
"state_after": "case intro.intro\nΓ : Type u_1\ninst✝ : Inhabited Γ\nl : List Γ\ni j : ℕ\nh : List.length (l ++ List.replicate i default) ≤ List.length (l ++ List.replicate j default)\n⊢ BlankExtends (l ++ List.replicate i default) (l ++ List.replicate j default)",
"state_before": "Γ : Type u_1\ninst✝ : I... | [
97,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/Data/List/Basic.lean | List.head!_append | [
{
"state_after": "case nil\nι : Type ?u.42548\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\ninst✝ : Inhabited α\nt : List α\nh : [] ≠ []\n⊢ head! ([] ++ t) = head! []\n\ncase cons\nι : Type ?u.42548\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\ninst✝ : Inhabited α\nt : List... | [
894,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
893,
1
] |
Std/Data/Int/Lemmas.lean | Int.lt_add_of_neg_lt_sub_right | [] | [
1111,
59
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1110,
11
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.Memℒp.snorm_ne_top | [] | [
143,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
] |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean | intervalIntegral.integral_sub_integral_sub_linear_isLittleO_of_tendsto_ae_left | [
{
"state_after": "no goals",
"state_before": "ι : Type u_2\n𝕜 : Type ?u.1641367\nE : Type u_1\nF : Type ?u.1641373\nA : Type ?u.1641376\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : CompleteSpace E\ninst✝² : NormedSpace ℝ E\nf : ℝ → E\nc ca cb : E\nl l' la la' lb lb' : Filter ℝ\nlt : Filter ι\na b z : ℝ\nu v ua... | [
565,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
560,
1
] |
Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.mul_rat_iff | [
{
"state_after": "no goals",
"state_before": "p q x y : ℝ\nr : ℚ\nm : ℤ\nn : ℕ\nhr : r ≠ 0\nh : LiouvilleWith p (x * ↑r)\n⊢ LiouvilleWith p x",
"tactic": "simpa only [mul_assoc, ← Rat.cast_mul, mul_inv_cancel hr, Rat.cast_one, mul_one] using\n h.mul_rat (inv_ne_zero hr)"
}
] | [
139,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.sub_congr_right | [] | [
1793,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1792,
1
] |
src/lean/Init/Data/Nat/Linear.lean | Nat.Linear.Poly.denote_sort_go | [
{
"state_after": "no goals",
"state_before": "ctx : Context\np r : Poly\n⊢ denote ctx (sort.go p r) = denote ctx p + denote ctx r",
"tactic": "match p with\n| [] => simp\n| (k, v):: p => simp [denote_sort_go]"
},
{
"state_after": "no goals",
"state_before": "ctx : Context\np r : Poly\n⊢ deno... | [
288,
40
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
285,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.Equiv.trans | [] | [
768,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
767,
11
] |
Mathlib/Order/Monotone/Monovary.lean | Monovary.dual | [] | [
200,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
1
] |
Mathlib/Order/Filter/NAry.lean | Filter.map₂_mono_right | [] | [
95,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Combinatorics/Derangements/Finite.lean | card_derangements_invariant | [] | [
46,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
44,
1
] |
Mathlib/Order/Max.lean | IsMax.snd | [] | [
444,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
] |
Mathlib/Control/EquivFunctor.lean | EquivFunctor.mapEquiv_symm | [] | [
78,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Computability/RegularExpressions.lean | RegularExpression.matches'_char | [] | [
134,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/Order/Directed.lean | exists_ge_ge | [] | [
213,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean | tendsto_rpow_div_mul_add | [
{
"state_after": "a b c : ℝ\nhb : 0 ≠ b\n⊢ (exp ∘ fun x => a * (x / (b * exp x + c))) ∘ log =ᶠ[atTop] fun x => x ^ (a / (b * x + c))",
"state_before": "a b c : ℝ\nhb : 0 ≠ b\n⊢ Tendsto (fun x => x ^ (a / (b * x + c))) atTop (𝓝 1)",
"tactic": "refine'\n Tendsto.congr' _\n ((tendsto_exp_nhds_0_nhds_1... | [
73,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Basic.lean | BoxIntegral.Prepartition.le_def | [] | [
159,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Analysis/Complex/Basic.lean | Complex.nndist_of_re_eq | [] | [
111,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Analysis/Normed/Field/Basic.lean | one_le_norm_one | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.13548\nβ✝ : Type ?u.13551\nγ : Type ?u.13554\nι : Type ?u.13557\ninst✝² : NonUnitalSeminormedRing α\nβ : Type u_1\ninst✝¹ : NormedRing β\ninst✝ : Nontrivial β\n⊢ ‖1‖ ≤ ‖1‖ * ‖1‖",
"tactic": "simpa only [mul_one] using norm_mul_le (1 : β) 1"
}
] | [
206,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/Analysis/Convex/Topology.lean | Convex.add_smul_sub_mem_interior | [] | [
217,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.tendstoLocallyUniformlyOn_iff | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.79667\nι✝ : Type ?u.79670\ninst✝¹ : PseudoMetricSpace α\nx✝ y z : α\nδ ε ε₁ ε₂ : ℝ\ns✝ : Set α\nι : Type u_1\ninst✝ : TopologicalSpace β\nF : ι → β → α\nf : β → α\np : Filter ι\ns : Set β\nH : ∀ (ε : ℝ), ε > 0 → ∀ (x : β), x ∈ s → ∃ t, t ∈ 𝓝[s] x ∧ ∀ᶠ (n : ... | [
908,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
901,
1
] |
Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.IsImage.symm_image_eq | [] | [
507,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.coe_toHomeomorph | [] | [
673,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
672,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | coe_nat_mem | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\ninst✝¹ : NonAssocSemiring R\nM : Submonoid R\ninst✝ : SetLike S R\nhSR : SubsemiringClass S R\ns : S\nn : ℕ\n⊢ n • 1 ∈ s",
"state_before": "R : Type u\nS : Type v\nT : Type w\ninst✝¹ : NonAssocSemiring R\nM : Submonoid R\ninst✝ : SetLike S R\nhSR : Subse... | [
79,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Analysis/Complex/Basic.lean | Complex.summable_ofReal | [] | [
598,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergence.lean | UniformCauchySeqOnFilter.comp | [
{
"state_after": "case intro.intro.intro.intro\nα : Type u\nβ : Type v\nγ✝ : Type w\nι : Type x\ninst✝ : UniformSpace β\nF : ι → α → β\nf : α → β\ns s' : Set α\nx : α\np : Filter ι\np' : Filter α\ng✝ : ι → α\nγ : Type u_1\nhf : UniformCauchySeqOnFilter F p p'\ng : γ → α\nu : Set (β × β)\nhu : u ∈ 𝓤 β\npa : ι ×... | [
502,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
1
] |
Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Sieve.functorPushforward_id | [
{
"state_after": "case h\nC : Type u₁\ninst✝² : Category C\nD : Type u₂\ninst✝¹ : Category D\nF : C ⥤ D\nX✝ Y Z : C\nf : Y ⟶ X✝\nS R✝ : Sieve X✝\nE : Type u₃\ninst✝ : Category E\nG : D ⥤ E\nR : Sieve X✝\nX : C\n⊢ ∀ (f : X ⟶ (𝟭 C).obj X✝), (functorPushforward (𝟭 C) R).arrows f ↔ R.arrows f",
"state_before"... | [
646,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
638,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_X_pow_mul | [
{
"state_after": "case h₀\nR : Type u_1\ninst✝ : Semiring R\np : PowerSeries R\nn d : ℕ\n⊢ ∀ (b : ℕ × ℕ), b ∈ Finset.Nat.antidiagonal (d + n) → b ≠ (n, d) → ↑(coeff R b.fst) (X ^ n) * ↑(coeff R b.snd) p = 0\n\ncase h₁\nR : Type u_1\ninst✝ : Semiring R\np : PowerSeries R\nn d : ℕ\n⊢ ¬(n, d) ∈ Finset.Nat.antidiag... | [
1611,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1600,
1
] |
Mathlib/Order/Filter/Extr.lean | IsMinFilter.tendsto_principal_Ici | [] | [
151,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lt_aleph0 | [
{
"state_after": "case intro.intro\nα β : Type u\nc : Cardinal\nh' : c < (#ℕ)\nh : lift c < ℵ₀\n⊢ ∃ n, lift c = ↑n",
"state_before": "α β : Type u\nc : Cardinal\nh : c < ℵ₀\n⊢ ∃ n, c = ↑n",
"tactic": "rcases lt_lift_iff.1 h with ⟨c, rfl, h'⟩"
},
{
"state_after": "case intro.intro.intro\nα β : Ty... | [
1430,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1421,
1
] |
Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | mem_selfAdjointMatricesSubmodule' | [
{
"state_after": "no goals",
"state_before": "R : Type ?u.2697796\nM : Type ?u.2697799\ninst✝¹⁶ : Semiring R\ninst✝¹⁵ : AddCommMonoid M\ninst✝¹⁴ : Module R M\nR₁ : Type ?u.2697835\nM₁ : Type ?u.2697838\ninst✝¹³ : Ring R₁\ninst✝¹² : AddCommGroup M₁\ninst✝¹¹ : Module R₁ M₁\nR₂ : Type ?u.2698447\nM₂ : Type ?u.... | [
520,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
518,
1
] |
Mathlib/Order/RelIso/Basic.lean | RelIso.coe_fn_symm_mk | [] | [
781,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
780,
1
] |
Mathlib/Algebra/Algebra/Hom.lean | MulSemiringAction.toAlgHom_injective | [] | [
586,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
584,
1
] |
Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.div_one | [
{
"state_after": "R : Type ?u.1217298\ninst✝⁶ : CommRing R\nS : Submonoid R\nP : Type ?u.1217505\ninst✝⁵ : CommRing P\ninst✝⁴ : Algebra R P\nloc : IsLocalization S P\nR₁ : Type u_1\ninst✝³ : CommRing R₁\nK : Type u_2\ninst✝² : Field K\ninst✝¹ : Algebra R₁ K\nfrac : IsFractionRing R₁ K\ninst✝ : IsDomain R₁\nI✝ J... | [
1163,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1154,
1
] |
Mathlib/Data/Set/Finite.lean | Set.Finite.dependent_image | [
{
"state_after": "case intro\nα : Type u\nβ : Type v\nι : Sort w\nγ : Type x\ns : Set α\nF : (i : α) → i ∈ s → β\na✝ : Fintype ↑s\n⊢ Set.Finite {y | ∃ x hx, y = F x hx}",
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Mathlib/Deprecated/Subgroup.lean | IsSubgroup.mem_center | [] | [
273,
10
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Mathlib/Data/Multiset/Basic.lean | Multiset.cons_inj_left | [] | [
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25
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Mathlib/Topology/Semicontinuous.lean | LowerSemicontinuousOn.add' | [] | [
467,
40
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463,
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Mathlib/Data/Real/NNReal.lean | NNReal.sub_div | [] | [
768,
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767,
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Mathlib/LinearAlgebra/Projection.lean | LinearMap.IsProj.codRestrict_apply_cod | [
{
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Mathlib/Order/Antichain.lean | IsStrongAntichain.image | [
{
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.coe_map | [] | [
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6
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Mathlib/Topology/UniformSpace/Equiv.lean | UniformEquiv.coe_punitProd | [] | [
346,
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Mathlib/Algebra/CharP/MixedCharZero.lean | split_by_characteristic | [
{
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357,
30
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Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean | Real.log_div_self_antitoneOn | [
{
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{
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Mathlib/LinearAlgebra/Matrix/Circulant.lean | Matrix.circulant_single | [
{
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177,
49
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174,
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Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_lt_mul_of_pos_right | [] | [
168,
73
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Mathlib/Order/SuccPred/Relation.lean | transGen_of_succ_of_lt | [] | [
54,
12
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Mathlib/Data/Matrix/Basic.lean | LinearMap.mapMatrix_comp | [] | [
1479,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.prod_const | [] | [
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90
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1047,
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Mathlib/Analysis/Calculus/Deriv/Inverse.lean | HasDerivAt.of_local_left_inverse | [] | [
96,
58
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Mathlib/Data/Finset/Lattice.lean | Finset.min_le | [] | [
1285,
12
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1284,
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Mathlib/Analysis/Calculus/Deriv/ZPow.lean | iter_deriv_zpow | [] | [
124,
37
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122,
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Mathlib/GroupTheory/Subgroup/Pointwise.lean | AddSubgroup.mem_inv_pointwise_smul_iff | [] | [
503,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
502,
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Mathlib/Analysis/Calculus/FDeriv/Basic.lean | hasFDerivAt_iff_isLittleO_nhds_zero | [
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Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.ofMulEquivOfLocalizations_apply | [] | [
1408,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Nat/Parity.lean | Nat.even_add | [
{
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] | [
117,
41
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Mathlib/Computability/Primrec.lean | Primcodable.mem_range_encode | [] | [
1210,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.filter_ge_eq_Iic | [
{
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510,
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Mathlib/Analysis/Calculus/FDeriv/Basic.lean | DifferentiableWithinAt.mono | [
{
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572,
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Mathlib/Data/Stream/Init.lean | Stream'.take_succ | [] | [
578,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
577,
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Mathlib/LinearAlgebra/FiniteDimensional.lean | FiniteDimensional.exists_relation_sum_zero_pos_coefficient_of_rank_succ_lt_card | [
{
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580,
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Mathlib/Topology/MetricSpace/PiNat.lean | PiNat.dist_triangle | [] | [
308,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
11
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Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.comp₂Measurable_eq_pair | [] | [
353,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
1
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Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.toEquiv_injective | [] | [
160,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
157,
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Mathlib/Data/Multiset/Basic.lean | Multiset.induction_on_multiset_quot | [] | [
2878,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2875,
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Mathlib/Topology/Order.lean | induced_const | [] | [
478,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
477,
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Mathlib/Data/Complex/Exponential.lean | Real.sinh_lt_cosh | [] | [
1566,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1565,
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Mathlib/Order/Antichain.lean | IsStrongAntichain.mono | [] | [
289,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/Analysis/SpecificLimits/Basic.lean | sum_geometric_two_le | [
{
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"tactic": "have : ∀ ... | [
223,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
217,
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Mathlib/Topology/Algebra/GroupWithZero.lean | continuousAt_zpow₀ | [
{
"state_after": "case ofNat\nα : Type ?u.63846\nβ : Type ?u.63849\nG₀ : Type u_1\ninst✝³ : GroupWithZero G₀\ninst✝² : TopologicalSpace G₀\ninst✝¹ : HasContinuousInv₀ G₀\ninst✝ : ContinuousMul G₀\nx : G₀\nm : ℕ\nh : x ≠ 0 ∨ 0 ≤ Int.ofNat m\n⊢ ContinuousAt (fun x => x ^ Int.ofNat m) x\n\ncase negSucc\nα : Type ?... | [
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316,
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Mathlib/Algebra/Algebra/Prod.lean | AlgHom.prod_fst_snd | [] | [
99,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
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Mathlib/Analysis/Convex/Star.lean | StarConvex.neg | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.132147\ninst✝⁴ : OrderedRing 𝕜\ninst✝³ : AddCommGroup E\ninst✝² : AddCommGroup F\ninst✝¹ : Module 𝕜 E\ninst✝ : Module 𝕜 F\nx y : E\ns t : Set E\nhs : StarConvex 𝕜 x s\n⊢ StarConvex 𝕜 (-x) (Neg.neg '' s)",
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372,
55
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370,
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Mathlib/Data/Real/CauSeq.lean | CauSeq.const_one | [] | [
279,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
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Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.map_bot | [] | [
1029,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1028,
1
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Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.smul_def | [] | [
1516,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1515,
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Mathlib/Analysis/BoxIntegral/Partition/Measure.lean | BoxIntegral.Box.Ioo_ae_eq_Icc | [] | [
83,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
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Mathlib/Algebra/Group/Opposite.lean | IsUnit.op | [] | [
466,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
464,
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.BoundedFormula.realize_relabel | [
{
"state_after": "no goals",
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405,
69
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401,
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Mathlib/Order/SymmDiff.lean | himp_bihimp_right | [] | [
598,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
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Mathlib/Topology/UniformSpace/AbstractCompletion.lean | AbstractCompletion.funext | [] | [
121,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
11
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Mathlib/Algebra/Ring/Semiconj.lean | SemiconjBy.neg_left | [
{
"state_after": "no goals",
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"tactic": "simp only [SemiconjBy, h.eq, neg_mul, mul_neg]"
}
] | [
61,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/MeanValue.lean | image_norm_le_of_norm_deriv_right_le_deriv_boundary' | [] | [
316,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
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Mathlib/Data/List/Basic.lean | List.bind_ret_eq_map | [
{
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1814,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Group/Arithmetic.lean | aemeasurable_inv_iff₀ | [
{
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492,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
490,
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.map_mk_nhdsSet | [
{
"state_after": "no goals",
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491,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Matrix/Basic.lean | Matrix.map_updateColumn | [
{
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2812,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2808,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mul_comm' | [] | [
478,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
477,
9
] |
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