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/SuccPred/Relation.lean | reflTransGen_of_pred | [] | [
138,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/Analysis/Convex/Star.lean | StarConvex.add | [
{
"state_after": "𝕜 : Type u_2\nE : Type u_1\nF : Type ?u.48935\ninst✝⁴ : OrderedSemiring 𝕜\ninst✝³ : AddCommMonoid E\ninst✝² : AddCommMonoid F\ninst✝¹ : Module 𝕜 E\ninst✝ : Module 𝕜 F\nx y z : E\ns t : Set E\nhs : StarConvex 𝕜 x s\nht : StarConvex 𝕜 y t\n⊢ StarConvex 𝕜 (x + y) ((fun x => x.fst + x.snd) ... | [
233,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
1
] |
Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | summable_sum | [] | [
332,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Algebra/Associated.lean | DvdNotUnit.isUnit_of_irreducible_right | [
{
"state_after": "case intro.intro.intro\nα : Type u_1\nβ : Type ?u.347413\nγ : Type ?u.347416\nδ : Type ?u.347419\ninst✝ : CommMonoidWithZero α\np q : α\nhq : Irreducible q\nleft✝ : p ≠ 0\nx : α\nhx : ¬IsUnit x\nhx' : q = p * x\n⊢ IsUnit p",
"state_before": "α : Type u_1\nβ : Type ?u.347413\nγ : Type ?u.34... | [
1160,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1157,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Iic_subset_Iio_union_Icc | [] | [
1364,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1363,
1
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Mathlib/Algebra/BigOperators/Basic.lean | Nat.cast_sum | [] | [
2212,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2210,
1
] |
Mathlib/Algebra/Hom/Equiv/Basic.lean | MulEquiv.trans_apply | [] | [
387,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
387,
1
] |
Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.basisFun_repr | [] | [
976,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
975,
1
] |
Mathlib/GroupTheory/PGroup.lean | IsPGroup.to_quotient | [] | [
94,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.bit1_im | [] | [
222,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Data/Option/Basic.lean | Option.getD_default_eq_iget | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.16610\nγ : Type ?u.16613\nδ : Type ?u.16616\ninst✝ : Inhabited α\no : Option α\n⊢ getD o default = iget o",
"tactic": "cases o <;> rfl"
}
] | [
313,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
Mathlib/Algebra/Opposites.lean | MulOpposite.unop_one | [] | [
257,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
256,
1
] |
Mathlib/Data/List/Perm.lean | List.Perm.drop_inter | [
{
"state_after": "case pos\nα✝ : Type uu\nβ : Type vv\nl₁ l₂ : List α✝\nα : Type u_1\ninst✝ : DecidableEq α\nxs ys : List α\nn : ℕ\nh : xs ~ ys\nh' : Nodup ys\nh'' : n ≤ length xs\n⊢ drop n xs ~ List.inter ys (drop n xs)\n\ncase neg\nα✝ : Type uu\nβ : Type vv\nl₁ l₂ : List α✝\nα : Type u_1\ninst✝ : DecidableEq ... | [
1184,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1166,
1
] |
Mathlib/Topology/Order.lean | coinduced_bot | [] | [
449,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
448,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.lt_congr_imp | [] | [
850,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
849,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.le_cons_self | [] | [
568,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
567,
1
] |
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.isAdjointPair_equiv | [
{
"state_after": "R : Type u_2\nR₁ : Type ?u.2303737\nR₂ : Type ?u.2303740\nM : Type ?u.2303743\nM₁ : Type ?u.2303746\nM₂ : Type ?u.2303749\nM₁' : Type ?u.2303752\nM₂' : Type ?u.2303755\nn : Type u_1\nm : Type ?u.2303761\nn' : Type ?u.2303764\nm' : Type ?u.2303767\nι : Type ?u.2303770\ninst✝⁸ : CommRing R\ninst... | [
614,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
594,
1
] |
Mathlib/Data/Real/Pi/Wallis.lean | Real.Wallis.tendsto_W_nhds_pi_div_two | [
{
"state_after": "⊢ Tendsto (fun i => (2 * ↑i + 1) / (2 * ↑i + 2) * (π / 2)) atTop (𝓝 (π / 2))",
"state_before": "⊢ Tendsto W atTop (𝓝 (π / 2))",
"tactic": "refine' tendsto_of_tendsto_of_tendsto_of_le_of_le _ tendsto_const_nhds le_W W_le"
},
{
"state_after": "this : 𝓝 (π / 2) = 𝓝 ((1 - 0) * ... | [
119,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | Real.volume_Icc_pi | [
{
"state_after": "ι : Type u_1\ninst✝ : Fintype ι\na b : ι → ℝ\n⊢ ∏ i : ι, ↑↑volume (Icc (a i) (b i)) = ∏ i : ι, ofReal (b i - a i)",
"state_before": "ι : Type u_1\ninst✝ : Fintype ι\na b : ι → ℝ\n⊢ ↑↑volume (Icc a b) = ∏ i : ι, ofReal (b i - a i)",
"tactic": "rw [← pi_univ_Icc, volume_pi_pi]"
},
{
... | [
217,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_if | [] | [
253,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
252,
1
] |
Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.aleph_toNat | [] | [
306,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
1
] |
Mathlib/Topology/SubsetProperties.lean | IsCompact.image_of_continuousOn | [
{
"state_after": "α : Type u\nβ : Type v\nι : Type ?u.7857\nπ : ι → Type ?u.7862\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns t : Set α\nf : α → β\nhs : IsCompact s\nhf : ContinuousOn f s\nl : Filter β\nlne : NeBot l\nls : l ≤ 𝓟 (f '' s)\n⊢ ∃ a, a ∈ f '' s ∧ ClusterPt a l",
"state_before": "... | [
149,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.isPrimitiveRoot_iff | [
{
"state_after": "case mp\nM : Type ?u.3540580\nN : Type ?u.3540583\nG : Type ?u.3540586\nR : Type u_1\nS : Type ?u.3540592\nF : Type ?u.3540595\ninst✝⁴ : CommMonoid M\ninst✝³ : CommMonoid N\ninst✝² : DivisionCommMonoid G\nk✝ l : ℕ\ninst✝¹ : CommRing R\nζ✝ : Rˣ\nh✝ : IsPrimitiveRoot ζ✝ k✝\ninst✝ : IsDomain R\nk... | [
798,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
791,
1
] |
Mathlib/NumberTheory/Liouville/Measure.lean | Real.disjoint_residual_ae | [] | [
132,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/LinearAlgebra/Basic.lean | LinearMap.disjoint_ker | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nR₁ : Type ?u.1183168\nR₂ : Type u_3\nR₃ : Type ?u.1183174\nR₄ : Type ?u.1183177\nS : Type ?u.1183180\nK : Type ?u.1183183\nK₂ : Type ?u.1183186\nM : Type u_2\nM' : Type ?u.1183192\nM₁ : Type ?u.1183195\nM₂ : Type u_4\nM₃ : Type ?u.1183201\nM₄ : Typ... | [
1355,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1354,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.isClosed_ball | [] | [
1864,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1863,
1
] |
Mathlib/Algebra/Ring/Defs.lean | neg_mul_comm | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nR : Type x\ninst✝¹ : Mul α\ninst✝ : HasDistribNeg α\na b : α\n⊢ -a * b = a * -b",
"tactic": "simp"
}
] | [
312,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.Nonempty.subset_singleton_iff | [] | [
789,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
787,
11
] |
Mathlib/Topology/Order.lean | preimage_nhds_coinduced | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.20836\ninst✝ : TopologicalSpace α\nπ : α → β\ns : Set β\na : α\nhs : s ∈ 𝓝 (π a)\nthis : TopologicalSpace β := TopologicalSpace.coinduced π inst✝\n⊢ π ⁻¹' s ∈ 𝓝 a",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.20836\ninst✝ : Topological... | [
400,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
396,
1
] |
Mathlib/Data/Multiset/FinsetOps.lean | Multiset.ndinter_le_left | [] | [
257,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
256,
1
] |
Mathlib/Analysis/NormedSpace/MStructure.lean | IsLprojection.coe_sdiff | [] | [
208,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
206,
1
] |
Mathlib/RingTheory/RootsOfUnity/Basic.lean | restrictRootsOfUnity_coe_apply | [] | [
159,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
157,
1
] |
Mathlib/Tactic/NormNum/NatFib.lean | Mathlib.Meta.NormNum.isFibAux_two_mul_done | [] | [
72,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
Mathlib/CategoryTheory/Over.lean | CategoryTheory.Under.comp_right | [] | [
346,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
345,
1
] |
Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean | GeneralizedContinuedFraction.convergents'_of_int | [
{
"state_after": "case zero\nK : Type u_1\ninst✝¹ : LinearOrderedField K\ninst✝ : FloorRing K\nv : K\nn : ℕ\na : ℤ\n⊢ convergents' (of ↑a) Nat.zero = ↑a\n\ncase succ\nK : Type u_1\ninst✝¹ : LinearOrderedField K\ninst✝ : FloorRing K\nv : K\nn✝ : ℕ\na : ℤ\nn : ℕ\nn_ih✝ : convergents' (of ↑a) n = ↑a\n⊢ convergents... | [
334,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Order/Atoms.lean | IsCoatom.Ici_eq | [] | [
167,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.top_sub_coe | [] | [
1104,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1104,
9
] |
Mathlib/Data/Nat/Basic.lean | Nat.max_succ_succ | [
{
"state_after": "case pos\nm✝ n✝ k m n : ℕ\nh1 : m ≤ n\n⊢ max (succ m) (succ n) = succ (max m n)\n\ncase neg\nm✝ n✝ k m n : ℕ\nh1 : ¬m ≤ n\n⊢ max (succ m) (succ n) = succ (max m n)",
"state_before": "m✝ n✝ k m n : ℕ\n⊢ max (succ m) (succ n) = succ (max m n)",
"tactic": "by_cases h1 : m ≤ n"
},
{
... | [
200,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/RingTheory/Nilpotent.lean | IsNilpotent.eq_zero | [] | [
85,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.continuousAt_arg_coe_angle | [
{
"state_after": "case pos\nx z : ℂ\nh : x ≠ 0\nhs : 0 < x.re ∨ x.im ≠ 0\n⊢ ContinuousAt (Angle.coe ∘ arg) x\n\ncase neg\nx z : ℂ\nh : x ≠ 0\nhs : ¬(0 < x.re ∨ x.im ≠ 0)\n⊢ ContinuousAt (Angle.coe ∘ arg) x",
"state_before": "x z : ℂ\nh : x ≠ 0\n⊢ ContinuousAt (Angle.coe ∘ arg) x",
"tactic": "by_cases hs... | [
627,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
607,
1
] |
Mathlib/Algebra/GCDMonoid/Multiset.lean | Multiset.gcd_zero | [] | [
138,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.eq_zero_of_epi_kernel | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\ninst✝² : HasZeroMorphisms C\nX Y : C\nf : X ⟶ Y\ninst✝¹ : HasKernel f\ninst✝ : Epi (kernel.ι f)\n⊢ kernel.ι f ≫ f = kernel.ι f ≫ 0",
"tactic": "simp"
}
] | [
325,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
1
] |
Mathlib/NumberTheory/Padics/PadicVal.lean | padicValRat.neg | [
{
"state_after": "no goals",
"state_before": "p : ℕ\nq : ℚ\n⊢ padicValRat p (-q) = padicValRat p q",
"tactic": "simp [padicValRat, padicValInt]"
}
] | [
163,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
11
] |
Std/Data/Int/Lemmas.lean | Int.mul_one | [
{
"state_after": "no goals",
"state_before": "a : Int\n⊢ a * 1 = a",
"tactic": "rw [Int.mul_comm, Int.one_mul]"
}
] | [
524,
93
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
524,
19
] |
Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.add_mem_iff | [
{
"state_after": "no goals",
"state_before": "R : Type u\nA : Type v\ninst✝² : CommSemiring R\ninst✝¹ : Ring A\ninst✝ : Algebra R A\na : A\nr s : R\n⊢ r + s ∈ σ a ↔ r ∈ σ (-↑↑ₐ s + a)",
"tactic": "simp only [mem_iff, sub_neg_eq_add, ← sub_sub, map_add]"
}
] | [
205,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.neg_bot | [] | [
747,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
746,
1
] |
Std/Data/Int/DivMod.lean | Int.mod_nonneg | [] | [
367,
63
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
366,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.infPrepartition_toPrepartition | [] | [
208,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | fderiv_sum | [] | [
388,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
386,
1
] |
Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_exp | [
{
"state_after": "case hderiv\na b : ℝ\nn : ℕ\n⊢ deriv exp = fun x => exp x\n\ncase hdiff\na b : ℝ\nn : ℕ\n⊢ ∀ (x : ℝ), x ∈ [[a, b]] → DifferentiableAt ℝ exp x\n\ncase hcont\na b : ℝ\nn : ℕ\n⊢ ContinuousOn (fun x => exp x) [[a, b]]",
"state_before": "a b : ℝ\nn : ℕ\n⊢ (∫ (x : ℝ) in a..b, exp x) = exp b - ex... | [
460,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
456,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.singleton_div_singleton | [] | [
632,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
631,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Finset.sum_mul_sum_eq_sum_perm | [] | [
1983,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1981,
1
] |
Mathlib/Data/Set/Basic.lean | Set.insert_subset_insert_iff | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nι : Sort x\na b : α\ns s₁ s₂ t t₁ t₂ u : Set α\nha : ¬a ∈ s\nh : insert a s ⊆ insert a t\nx : α\nhx : x ∈ s\n⊢ x ∈ t",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nι : Sort x\na b : α\ns s₁ s₂ t t₁ t₂ u : Set α\nha : ¬a ∈ s\n⊢ insert a s ⊆ insert... | [
1165,
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Mathlib/Algebra/Associated.lean | prime_dvd_prime_iff_eq | [
{
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Mathlib/LinearAlgebra/Ray.lean | Module.Ray.neg_units_smul | [
{
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Mathlib/Analysis/Calculus/ContDiff.lean | contDiffWithinAt_prod | [
{
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Mathlib/GroupTheory/Complement.lean | Subgroup.quotientEquivSigmaZMod_apply | [
{
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592,
33
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589,
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Mathlib/LinearAlgebra/Matrix/Charpoly/Basic.lean | charmatrix_apply_ne | [
{
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21
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.mem_affineSpan_insert_iff | [
{
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Mathlib/Algebra/Order/Field/Basic.lean | lt_of_one_div_lt_one_div | [] | [
466,
57
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465,
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Mathlib/Data/Nat/Factorization/PrimePow.lean | exists_ord_compl_eq_one_iff_isPrimePow | [
{
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88,
26
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Mathlib/Algebra/Hom/Ring.lean | RingHom.toMonoidWithZeroHom_eq_coe | [
{
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] | [
480,
6
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479,
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Mathlib/Algebra/PUnitInstances.lean | PUnit.div_eq | [] | [
61,
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Mathlib/Data/Nat/GCD/Basic.lean | Nat.gcd_self_add_right | [
{
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] | [
91,
36
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90,
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Mathlib/Order/Heyting/Hom.lean | HeytingHom.toFun_eq_coe | [] | [
264,
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263,
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Mathlib/Data/Multiset/Basic.lean | Multiset.map_count_True_eq_filter_card | [
{
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2645,
35
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2640,
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Mathlib/Topology/Algebra/Order/LeftRight.lean | nhds_right'_le_nhds_ne | [] | [
52,
38
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Std/Data/List/Lemmas.lean | List.disjoint_of_disjoint_cons_right | [] | [
1371,
43
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1370,
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Mathlib/Data/Finset/Lattice.lean | Finset.map_toDual_min | [
{
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1421,
34
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1419,
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Mathlib/Data/Set/Function.lean | Set.restrict_comp_codRestrict | [] | [
163,
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161,
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Mathlib/CategoryTheory/Iso.lean | CategoryTheory.Iso.symm_eq_iff | [] | [
132,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
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Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.vars_rename | [
{
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891,
60
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886,
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Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivAt.iterate | [
{
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213,
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211,
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Mathlib/Order/Chain.lean | Flag.chain_lt | [] | [
374,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.ext_of_generateFrom_of_cover | [
{
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1935,
45
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1919,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.injOn_cos | [] | [
615,
25
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614,
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Mathlib/Data/Multiset/Dedup.lean | Multiset.dedup_bind_dedup | [
{
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108,
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102,
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.filter_le_eq_Ici | [
{
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480,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
478,
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Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.zero_apply | [
{
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280,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
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Mathlib/Tactic/IntervalCases.lean | Mathlib.Tactic.IntervalCases.of_le_right | [] | [
139,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
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Mathlib/Data/Seq/Computation.lean | Computation.has_bind_eq_bind | [] | [
687,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
686,
1
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Mathlib/Order/BooleanAlgebra.lean | codisjoint_himp_self_left | [] | [
743,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
742,
1
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Mathlib/NumberTheory/Padics/RingHoms.lean | PadicInt.appr_spec | [
{
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"tactic": "simp only [Ideal.mem_span_singl... | [
392,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
354,
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Mathlib/Order/Filter/Ultrafilter.lean | Ultrafilter.em | [] | [
187,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
11
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Mathlib/CategoryTheory/Sums/Basic.lean | CategoryTheory.Functor.sum_map_inl | [] | [
208,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
206,
1
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.ker_coprod_of_disjoint_range | [] | [
1330,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1327,
1
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Mathlib/Topology/Algebra/Module/Basic.lean | Submodule.coe_subtypeL' | [] | [
1041,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1040,
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Mathlib/Algebra/Order/Ring/Defs.lean | Units.inv_neg | [] | [
957,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
954,
1
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Mathlib/Data/ZMod/Quotient.lean | AddAction.zmultiplesQuotientStabilizerEquiv_symm_apply | [] | [
101,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.map_int_cast | [] | [
1241,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1240,
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Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteCoproducts.leftUnitor_inv | [] | [
201,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
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Mathlib/GroupTheory/OrderOfElement.lean | orderOf_injective | [
{
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335,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
333,
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Mathlib/Order/Filter/Basic.lean | Filter.map_inf' | [
{
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"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Ty... | [
2523,
66
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2519,
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.integrable_iff_cauchy | [] | [
217,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
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Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.degree_mul_leadingCoeff_inv | [
{
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"state_before": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝ : Division... | [
135,
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Mathlib/Analysis/Normed/Field/Basic.lean | NormedField.exists_norm_lt_one | [] | [
741,
27
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740,
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Mathlib/Topology/PathConnected.lean | Path.symm_symm | [
{
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182,
30
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179,
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Mathlib/Algebra/Lie/IdealOperations.lean | LieSubmodule.lie_le_iff | [
{
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107,
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103,
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Mathlib/Topology/MetricSpace/Antilipschitz.lean | LipschitzWith.properSpace | [] | [
262,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
11
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Mathlib/Data/Finset/Image.lean | Equiv.finsetCongr_trans | [
{
"state_after": "case H.a\nα : Type u_1\nβ : Type u_2\nγ : Type u_3\ne : α ≃ β\ne' : β ≃ γ\nx✝ : Finset α\na✝ : γ\n⊢ a✝ ∈ ↑((Equiv.finsetCongr e).trans (Equiv.finsetCongr e')) x✝ ↔ a✝ ∈ ↑(Equiv.finsetCongr (e.trans e')) x✝",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\ne : α ≃ β\ne' : β ≃ γ\n... | [
803,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
800,
1
] |
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