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/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.toMeasure_toOuterMeasure | [] | [
662,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | Real.differentiableAt_exp | [] | [
199,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
198,
1
] |
Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.symmCompOfNondegenerate_left_apply | [
{
"state_after": "no goals",
"state_before": "R : Type ?u.1879881\nM : Type ?u.1879884\ninst✝¹⁷ : Semiring R\ninst✝¹⁶ : AddCommMonoid M\ninst✝¹⁵ : Module R M\nR₁ : Type ?u.1879920\nM₁ : Type ?u.1879923\ninst✝¹⁴ : Ring R₁\ninst✝¹³ : AddCommGroup M₁\ninst✝¹² : Module R₁ M₁\nR₂ : Type ?u.1880532\nM₂ : Type ?u.... | [
1561,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1559,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.nat_cast_comp_val | [
{
"state_after": "case zero\nR : Type u_1\ninst✝¹ : Ring R\ninst✝ : NeZero Nat.zero\n⊢ Nat.cast ∘ val = cast\n\ncase succ\nR : Type u_1\ninst✝¹ : Ring R\nn✝ : ℕ\ninst✝ : NeZero (Nat.succ n✝)\n⊢ Nat.cast ∘ val = cast",
"state_before": "n : ℕ\nR : Type u_1\ninst✝¹ : Ring R\ninst✝ : NeZero n\n⊢ Nat.cast ∘ val ... | [
244,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
1
] |
Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.testAgainstNN_zero | [
{
"state_after": "no goals",
"state_before": "Ω : Type u_1\ninst✝⁵ : MeasurableSpace Ω\nR : Type ?u.50829\ninst✝⁴ : SMul R ℝ≥0\ninst✝³ : SMul R ℝ≥0∞\ninst✝² : IsScalarTower R ℝ≥0 ℝ≥0∞\ninst✝¹ : IsScalarTower R ℝ≥0∞ ℝ≥0∞\ninst✝ : TopologicalSpace Ω\nμ : FiniteMeasure Ω\n⊢ testAgainstNN μ 0 = 0",
"tactic"... | [
355,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
354,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.infsep_triple | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.61301\ninst✝ : PseudoMetricSpace α\nx y z : α\ns t : Set α\nhxy : x ≠ y\nhyz : y ≠ z\nhxz : x ≠ z\n⊢ infsep {x, y, z} = dist x y ⊓ dist x z ⊓ dist y z",
"tactic": "simp only [infsep, einfsep_triple hxy hyz hxz, ENNReal.toReal_inf, e... | [
443,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
439,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffAt.exists_lipschitzOnWith_of_nnnorm_lt | [] | [
2040,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2037,
1
] |
Mathlib/Init/CcLemmas.lean | or_eq_of_eq_true_left | [] | [
37,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
36,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.coe_add | [] | [
388,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
388,
11
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.eq_sub_of_add_eq | [] | [
1128,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1127,
11
] |
Mathlib/Data/Num/Lemmas.lean | Num.bit1_succ | [] | [
251,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
249,
1
] |
Mathlib/Data/Real/Irrational.lean | Irrational.div_cases | [] | [
407,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
406,
1
] |
Mathlib/Order/Minimal.lean | IsAntichain.maximals_eq | [
{
"state_after": "α : Type u_1\nr r₁ r₂ : α → α → Prop\ns t : Set α\na✝ b : α\nh : IsAntichain r s\na : α\nha hb : a ∈ s\nhab : r a a\n⊢ r a a",
"state_before": "α : Type u_1\nr r₁ r₂ : α → α → Prop\ns t : Set α\na✝ b✝ : α\nh : IsAntichain r s\na : α\nha : a ∈ s\nb : α\nhb : b ∈ s\nhab : r a b\n⊢ r b a",
... | [
180,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
176,
1
] |
Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.mapDomain_sum | [] | [
135,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_atTop_of_add_bdd_above_left | [] | [
728,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
726,
1
] |
Mathlib/Order/Hom/Basic.lean | OrderIso.map_bot | [] | [
1174,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1173,
1
] |
Mathlib/Topology/Bornology/Hom.lean | LocallyBoundedMap.ofMapBounded_apply | [] | [
134,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/RingTheory/Multiplicity.lean | multiplicity.finite_iff_dom | [] | [
57,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean | UniformOnFun.hasBasis_nhds_of_basis | [] | [
686,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
681,
11
] |
Mathlib/Computability/Partrec.lean | Computable.vector_cons | [] | [
370,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
1
] |
Mathlib/SetTheory/Cardinal/Divisibility.lean | Cardinal.isPrimePow_iff | [
{
"state_after": "case pos\na✝ b : Cardinal\nn m : ℕ\na : Cardinal\nh : ℵ₀ ≤ a\n⊢ IsPrimePow a ↔ ℵ₀ ≤ a ∨ ∃ n, a = ↑n ∧ IsPrimePow n\n\ncase neg\na✝ b : Cardinal\nn m : ℕ\na : Cardinal\nh : ¬ℵ₀ ≤ a\n⊢ IsPrimePow a ↔ ℵ₀ ≤ a ∨ ∃ n, a = ↑n ∧ IsPrimePow n",
"state_before": "a✝ b : Cardinal\nn m : ℕ\na : Cardina... | [
159,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/Data/Complex/Exponential.lean | Complex.cos_ofReal_im | [
{
"state_after": "no goals",
"state_before": "x✝ y : ℂ\nx : ℝ\n⊢ (cos ↑x).im = 0",
"tactic": "rw [← ofReal_cos_ofReal_re, ofReal_im]"
}
] | [
965,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
965,
1
] |
Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.toSubalgebra_injective | [
{
"state_after": "case h\nK : Type u_1\nL : Type u_2\nL' : Type ?u.229246\ninst✝⁴ : Field K\ninst✝³ : Field L\ninst✝² : Field L'\ninst✝¹ : Algebra K L\ninst✝ : Algebra K L'\nS✝ S S' : IntermediateField K L\nh : S.toSubalgebra = S'.toSubalgebra\nx✝ : L\n⊢ x✝ ∈ S ↔ x✝ ∈ S'",
"state_before": "K : Type u_1\nL :... | [
579,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
576,
1
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.integral_Ioi_of_hasDerivAt_of_nonneg' | [] | [
753,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
750,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | vectorSpan_singleton | [
{
"state_after": "no goals",
"state_before": "k : Type u_2\nV : Type u_1\nP : Type u_3\ninst✝³ : Ring k\ninst✝² : AddCommGroup V\ninst✝¹ : Module k V\ninst✝ : AffineSpace V P\np : P\n⊢ vectorSpan k {p} = ⊥",
"tactic": "simp [vectorSpan_def]"
}
] | [
90,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/Algebra/GroupPower/Lemmas.lean | zpow_left_inj | [] | [
432,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
431,
1
] |
Mathlib/Order/CompleteLattice.lean | Prod.swap_sSup | [] | [
1854,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1852,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.nnreal_smul_coe_apply | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.133661\nγ : Type ?u.133664\nδ : Type ?u.133667\nι : Type ?u.133670\nR : Type ?u.133673\nR' : Type ?u.133676\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ✝ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns✝ s' t : Se... | [
908,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
906,
1
] |
Mathlib/Algebra/ContinuedFractions/Computation/Basic.lean | GeneralizedContinuedFraction.IntFractPair.stream_isSeq | [
{
"state_after": "K : Type u_1\ninst✝¹ : LinearOrderedField K\ninst✝ : FloorRing K\nv : K\nn✝ : ℕ\nhyp : IntFractPair.stream v n✝ = none\n⊢ IntFractPair.stream v (n✝ + 1) = none",
"state_before": "K : Type u_1\ninst✝¹ : LinearOrderedField K\ninst✝ : FloorRing K\nv : K\n⊢ Stream'.IsSeq (IntFractPair.stream v... | [
164,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
1
] |
Mathlib/Order/SymmDiff.lean | bihimp_right_involutive | [] | [
661,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/Algebra/Symmetrized.lean | SymAlg.sym_surjective | [] | [
107,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.comap_id' | [] | [
2070,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2070,
1
] |
Mathlib/LinearAlgebra/Matrix/ToLinearEquiv.lean | Matrix.range_toLin_eq_top | [] | [
106,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
1
] |
Mathlib/Logic/Equiv/Set.lean | Equiv.Set.sumCompl_symm_apply_of_not_mem | [
{
"state_after": "α✝ : Sort u\nβ : Sort v\nγ : Sort w\nα : Type u\ns : Set α\ninst✝ : DecidablePred fun x => x ∈ s\nx : α\nhx : ¬x ∈ s\nthis : ↑{ val := x, property := (_ : x ∈ s ∨ x ∈ sᶜ) } ∈ sᶜ\n⊢ ↑(Set.sumCompl s).symm x = Sum.inr { val := x, property := hx }",
"state_before": "α✝ : Sort u\nβ : Sort v\nγ... | [
342,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
338,
1
] |
Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.rootMultiplicity_X_sub_C | [
{
"state_after": "case inl\nR : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np q : R[X]\nx y : R\nhxy : x = y\n⊢ rootMultiplicity x (X - ↑C y) = 1\n\ncase inr\nR : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np q : R[X]\nx y... | [
464,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
459,
1
] |
Mathlib/Algebra/Star/Basic.lean | star_bit1 | [
{
"state_after": "no goals",
"state_before": "R : Type u\ninst✝¹ : Semiring R\ninst✝ : StarRing R\nr : R\n⊢ star (bit1 r) = bit1 (star r)",
"tactic": "simp [bit1]"
}
] | [
461,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
460,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.map_bot | [] | [
761,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
760,
1
] |
Mathlib/Order/UpperLower/Basic.lean | LowerSet.coe_iSup₂ | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.73298\nγ : Type ?u.73301\nι : Sort u_2\nκ : ι → Sort u_3\ninst✝ : LE α\nS : Set (LowerSet α)\ns t : LowerSet α\na : α\nf : (i : ι) → κ i → LowerSet α\n⊢ ↑(⨆ (i : ι) (j : κ i), f i j) = ⋃ (i : ι) (j : κ i), ↑(f i j)",
"tactic": "simp... | [
713,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
712,
1
] |
src/lean/Init/Data/Nat/Basic.lean | Nat.gt_of_not_le | [] | [
370,
29
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
367,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.coe_one | [] | [
630,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
630,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.kernel.lift_ι | [] | [
256,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.ae_measure_lt_top | [
{
"state_after": "α : Type u_2\nα' : Type ?u.4446542\nβ : Type u_1\nβ' : Type ?u.4446548\nγ : Type ?u.4446551\nE : Type ?u.4446554\ninst✝⁶ : MeasurableSpace α\ninst✝⁵ : MeasurableSpace α'\ninst✝⁴ : MeasurableSpace β\ninst✝³ : MeasurableSpace β'\ninst✝² : MeasurableSpace γ\nμ μ' : Measure α\nν ν' : Measure β\nτ ... | [
419,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
416,
1
] |
Mathlib/CategoryTheory/Shift/Basic.lean | CategoryTheory.shiftComm_symm | [
{
"state_after": "case w\nC : Type u\nA : Type u_1\ninst✝² : Category C\ninst✝¹ : AddCommMonoid A\ninst✝ : HasShift C A\nX Y : C\nf : X ⟶ Y\ni j : A\n⊢ (shiftComm X i j).symm.hom = (shiftComm X j i).hom",
"state_before": "C : Type u\nA : Type u_1\ninst✝² : Category C\ninst✝¹ : AddCommMonoid A\ninst✝ : HasSh... | [
600,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
1
] |
Mathlib/Data/List/Indexes.lean | List.findIdxs_eq_map_indexesValues | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\np : α → Prop\ninst✝ : DecidablePred p\nas : List α\n⊢ findIdxs (fun b => decide (p b)) as = map Prod.fst (indexesValues (fun b => decide (p b)) as)",
"tactic": "simp only [indexesValues_eq_filter_enum, map_filter_eq_foldr, findIdxs, u... | [
249,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.map_eq_one_iff | [] | [
506,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
505,
11
] |
Mathlib/Topology/Homeomorph.lean | Homeomorph.injective | [] | [
176,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
11
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean | Complex.hasSum_cos' | [
{
"state_after": "z : ℂ\n⊢ HasSum (fun n => (z * I) ^ (2 * n) / ↑(2 * n)!) ((_root_.exp ℂ (z * I) + _root_.exp ℂ (-z * I)) / 2)",
"state_before": "z : ℂ\n⊢ HasSum (fun n => (z * I) ^ (2 * n) / ↑(2 * n)!) (cos z)",
"tactic": "rw [Complex.cos, Complex.exp_eq_exp_ℂ]"
},
{
"state_after": "z : ℂ\nthi... | [
48,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
34,
1
] |
Mathlib/Logic/Nontrivial.lean | nontrivial_iff | [] | [
39,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.iSup_le_sum | [] | [
987,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
986,
1
] |
Mathlib/Order/Bounded.lean | Set.bounded_le_of_bounded_lt | [] | [
97,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Mathlib/Data/Set/Function.lean | Set.MapsTo.comp | [] | [
424,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Submodule.mem_smul_span | [
{
"state_after": "R : Type u\nM : Type v\nF : Type ?u.138961\nG : Type ?u.138964\ninst✝⁴ : CommSemiring R\ninst✝³ : AddCommMonoid M\ninst✝² : Module R M\nI J : Ideal R\nN P : Submodule R M\nS : Set R\nT : Set M\nM' : Type w\ninst✝¹ : AddCommMonoid M'\ninst✝ : Module R M'\ns : Set M\nx : M\n⊢ x ∈ span R (⋃ (s_1 ... | [
295,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
1
] |
Mathlib/Computability/TMToPartrec.lean | Turing.PartrecToTM2.K'.elim_update_aux | [
{
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},
{
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1293,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1292,
1
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Std/Data/String/Lemmas.lean | String.add_csize_pos | [] | [
35,
36
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
34,
9
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Mathlib/Data/List/Basic.lean | List.map_eq_map_iff | [
{
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1781,
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Mathlib/SetTheory/Game/PGame.lean | PGame.lf_irrefl | [] | [
551,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
550,
1
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_mono_interval | [
{
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1407,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1403,
1
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Mathlib/Data/Nat/Totient.lean | Nat.totient_two | [] | [
267,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
266,
1
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Mathlib/Analysis/Complex/UnitDisc/Basic.lean | Complex.UnitDisc.abs_ne_one | [] | [
53,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
52,
1
] |
Mathlib/Algebra/Order/Monoid/Lemmas.lean | lt_mul_of_lt_of_one_le | [] | [
683,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
677,
1
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Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.cons_smul | [
{
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359,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
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Mathlib/Algebra/Group/Conj.lean | ConjClasses.mk_injective | [] | [
261,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
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Mathlib/Analysis/Calculus/Conformal/NormedSpace.lean | conformal_const_smul | [] | [
131,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
] |
Mathlib/MeasureTheory/Group/Measure.lean | MeasureTheory.measure_ne_zero_iff_nonempty_of_isMulLeftInvariant | [
{
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566,
90
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564,
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Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean | nhds_basis_balanced | [] | [
271,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
267,
1
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Mathlib/Order/SuccPred/IntervalSucc.lean | Monotone.pairwise_disjoint_on_Ioc_succ | [] | [
59,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.prod_toSubmodule | [] | [
1119,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1119,
1
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Mathlib/MeasureTheory/Measure/AEMeasurable.lean | AEMeasurable.indicator | [] | [
353,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
1
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Mathlib/LinearAlgebra/Matrix/Symmetric.lean | Matrix.IsSymm.submatrix | [] | [
123,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
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Mathlib/Data/Finset/NAry.lean | Finset.image₂_subset_left | [] | [
87,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
1
] |
Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_neg_of_pos_of_neg | [
{
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"tactic": "simpa only [mul_zero] using mul_lt_mul_of_pos_left hb ha"
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] | [
348,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
347,
1
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Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.isRoot_of_mem_roots | [] | [
589,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
588,
1
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Mathlib/Analysis/Normed/Group/Seminorm.lean | NonarchAddGroupSeminorm.ext | [] | [
531,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
530,
1
] |
Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.finrank_eq_finrank_subalgebra | [] | [
691,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
690,
1
] |
Mathlib/Topology/Support.lean | HasCompactMulSupport.intro | [] | [
158,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
1
] |
Mathlib/Order/Heyting/Basic.lean | himp_compl | [
{
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"tactic": "rw [← himp_bot, himp_himp, inf_idem]"
}
] | [
812,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
812,
1
] |
Mathlib/Algebra/Lie/OfAssociative.lean | LieSubmodule.toEndomorphism_comp_subtype_mem | [
{
"state_after": "no goals",
"state_before": "R : Type u\nL : Type v\nM : Type w\ninst✝⁶ : CommRing R\ninst✝⁵ : LieRing L\ninst✝⁴ : LieAlgebra R L\ninst✝³ : AddCommGroup M\ninst✝² : Module R M\ninst✝¹ : LieRingModule L M\ninst✝ : LieModule R L M\nN : LieSubmodule R L M\nx : L\nm : M\nhm : m ∈ ↑N\n⊢ ↑(Linear... | [
276,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
1
] |
Mathlib/LinearAlgebra/InvariantBasisNumber.lean | le_of_fin_injective | [] | [
92,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/Deprecated/Subgroup.lean | Group.normalClosure_mono | [] | [
745,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
744,
1
] |
Mathlib/Order/Lattice.lean | sup_right_comm | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\ninst✝ : SemilatticeSup α\na✝ b✝ c✝ d a b c : α\n⊢ a ⊔ b ⊔ c = a ⊔ c ⊔ b",
"tactic": "rw [sup_assoc, sup_assoc, @sup_comm _ _ b]"
}
] | [
278,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
] |
Mathlib/Algebra/Order/Field/Basic.lean | inv_pos_lt_iff_one_lt_mul | [
{
"state_after": "ι : Type ?u.40590\nα : Type u_1\nβ : Type ?u.40596\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\nha : 0 < a\n⊢ 1 / a < b ↔ 1 < b * a",
"state_before": "ι : Type ?u.40590\nα : Type u_1\nβ : Type ?u.40596\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\nha : 0 < a\n⊢ a... | [
222,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
220,
1
] |
Mathlib/Data/Nat/Bitwise.lean | Nat.lxor'_assoc | [
{
"state_after": "no goals",
"state_before": "n m k : ℕ\n⊢ lxor' (lxor' n m) k = lxor' n (lxor' m k)",
"tactic": "bitwise_assoc_tac"
}
] | [
228,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
228,
1
] |
Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSpace.Top.measurable | [] | [
575,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
574,
1
] |
Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.limit.coneMorphism_π | [
{
"state_after": "no goals",
"state_before": "J : Type u₁\ninst✝³ : Category J\nK : Type u₂\ninst✝² : Category K\nC : Type u\ninst✝¹ : Category C\nF✝ F : J ⥤ C\ninst✝ : HasLimit F\nc : Cone F\nj : J\n⊢ (coneMorphism c).Hom ≫ π F j = c.π.app j",
"tactic": "simp"
}
] | [
227,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
1
] |
Mathlib/Topology/Order/Basic.lean | exists_seq_strictAnti_tendsto_nhdsWithin | [] | [
2185,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2182,
1
] |
Mathlib/Data/PNat/Basic.lean | PNat.natPred_lt_natPred | [] | [
62,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.re_ofNat | [] | [
487,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
486,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.toAddSubmonoid_strictMono | [] | [
168,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.list_prod_comp | [] | [
1138,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1136,
1
] |
Std/Data/Int/Lemmas.lean | Int.neg_lt_sub_right_of_lt_add | [] | [
1114,
59
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1113,
11
] |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean | EMetric.infEdist_singleton | [] | [
82,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Analysis/NormedSpace/CompactOperator.lean | ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap | [] | [
383,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/RingTheory/DedekindDomain/Ideal.lean | Ideal.pow_le_prime_iff | [] | [
1261,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1259,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.weightedVSubOfPoint_subtype_eq_filter | [
{
"state_after": "no goals",
"state_before": "k : Type u_3\nV : Type u_2\nP : Type u_4\ninst✝³ : Ring k\ninst✝² : AddCommGroup V\ninst✝¹ : Module k V\nS : AffineSpace V P\nι : Type u_1\ns : Finset ι\nι₂ : Type ?u.124383\ns₂ : Finset ι₂\nw : ι → k\np : ι → P\nb : P\npred : ι → Prop\ninst✝ : DecidablePred pre... | [
229,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAt.sub_const | [] | [
338,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
8
] |
Mathlib/Data/List/Permutation.lean | List.length_foldr_permutationsAux2' | [
{
"state_after": "α : Type u_1\nβ : Type ?u.25223\nt : α\nts : List α\nr L : List (List α)\nn : ℕ\nH : ∀ (l : List α), l ∈ L → length l = n\n⊢ sum (map length L) = n * length L",
"state_before": "α : Type u_1\nβ : Type ?u.25223\nt : α\nts : List α\nr L : List (List α)\nn : ℕ\nH : ∀ (l : List α), l ∈ L → len... | [
212,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/CategoryTheory/Subobject/Lattice.lean | CategoryTheory.Subobject.bot_eq_initial_to | [] | [
310,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
] |
Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.tensorTensorTensorAssoc_tmul | [] | [
960,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
958,
1
] |
Mathlib/Order/CompleteLattice.lean | le_sInf_inter | [] | [
480,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.PullbackCone.mk_snd | [] | [
606,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
1
] |
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