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Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.infEdist_le_infEdist_thickening_add | [] | [
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76
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.withDensity_smul' | [
{
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Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.inseparable_coe | [] | [
407,
47
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Mathlib/Data/Finmap.lean | Finmap.keys_singleton | [] | [
246,
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Mathlib/Topology/Semicontinuous.lean | Continuous.comp_lowerSemicontinuous | [] | [
341,
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Mathlib/Data/Fin/Basic.lean | Fin.castSucc_lt_succ | [
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1224,
81
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Mathlib/Order/Cover.lean | wcovby_iff_Ioo_eq | [
{
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Mathlib/Topology/Homotopy/Contractible.lean | ContractibleSpace.hequiv_unit | [] | [
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Mathlib/Analysis/SpecialFunctions/Sqrt.lean | fderivWithin_sqrt | [] | [
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Mathlib/Computability/Primrec.lean | Primrec.dom_bool | [
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Mathlib/CategoryTheory/Yoneda.lean | CategoryTheory.yonedaPairing_map | [] | [
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6
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.forall_eq_iff_forall_eq | [
{
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782,
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.mem_sup_right | [] | [
640,
45
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639,
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Mathlib/Data/List/Sublists.lean | List.nodup_sublists | [
{
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] | [
375,
70
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373,
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Mathlib/Analysis/InnerProductSpace/Positive.lean | ContinuousLinearMap.isPositive_zero | [
{
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Mathlib/Data/Set/Basic.lean | Set.antitone_bforall | [] | [
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2938,
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Mathlib/Analysis/VonNeumannAlgebra/Basic.lean | VonNeumannAlgebra.ext | [] | [
114,
16
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113,
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Mathlib/CategoryTheory/Sites/Plus.lean | CategoryTheory.GrothendieckTopology.diagramNatTrans_id | [
{
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Mathlib/Data/Subtype.lean | Subtype.map_comp | [] | [
212,
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Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.type_uLift_aux | [] | [
667,
6
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Mathlib/RingTheory/MatrixAlgebra.lean | MatrixEquivTensor.invFun_smul | [
{
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"tactic": "simp [invFun, Finset.... | [
109,
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_cond_nonneg | [] | [
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Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean | PiToModule.fromMatrix_apply_single_one | [
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Mathlib/Topology/UniformSpace/UniformEmbedding.lean | uniformly_extend_unique | [] | [
500,
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.biSup_add | [] | [
581,
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Mathlib/Data/Rat/NNRat.lean | NNRat.coe_list_prod | [] | [
261,
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260,
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Mathlib/LinearAlgebra/Span.lean | Submodule.span_eq_of_le | [] | [
80,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Order/Hom/Esakia.lean | EsakiaHom.toContinuousOrderHom_coe | [] | [
254,
48
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.le_einfsep_of_forall_dist_le | [] | [
287,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_top_smul_measure | [
{
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.card_Ioo_eq_card_Ico_sub_one | [
{
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Mathlib/Data/Finset/Slice.lean | Set.sized_union | [] | [
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Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean | MeasureTheory.TendstoInMeasure.congr_left | [] | [
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Cardinal.nfpFamily_lt_ord_lift_of_isRegular | [
{
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Mathlib/Algebra/Algebra/Hom.lean | AlgHom.comp_toRingHom | [] | [
344,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
342,
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Mathlib/Data/Sum/Interval.lean | Sum.Ioc_inr_inr | [] | [
206,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
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Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.opRingEquiv_symm_single | [
{
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"tactic": "simp"
}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1875,
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Mathlib/Data/List/NatAntidiagonal.lean | List.Nat.mem_antidiagonal | [
{
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{
"state_after": "case mp\nn : ℕ\nx : ℕ × ℕ\n⊢ (∃ a, a ∈ range (n + 1) ∧ (... | [
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.coeFn_inj | [] | [
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Mathlib/Topology/MetricSpace/Contracting.lean | ContractingWith.efixedPoint_mem' | [] | [
201,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/Additive/Energy.lean | Finset.multiplicativeEnergy_comm | [
{
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133,
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Mathlib/MeasureTheory/Measure/Haar/NormedSpace.lean | MeasureTheory.Measure.integral_comp_smul_of_nonneg | [
{
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Mathlib/Analysis/BoxIntegral/Partition/Filter.lean | BoxIntegral.IntegrationParams.RCond.min | [] | [
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.ringHom_ext | [
{
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Mathlib/Order/MinMax.lean | lt_max_iff | [] | [
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Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.infDist_eq_iInf | [
{
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472,
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Mathlib/ModelTheory/Types.lean | FirstOrder.Language.Theory.CompleteType.subset | [] | [
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12
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Mathlib/CategoryTheory/ConcreteCategory/Basic.lean | CategoryTheory.ConcreteCategory.congr_hom | [] | [
150,
59
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149,
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Mathlib/Data/List/Lattice.lean | List.Disjoint.symm | [] | [
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86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
46,
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Mathlib/Order/UpperLower/Basic.lean | lowerBounds_upperClosure | [] | [
1482,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1481,
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.nats_get? | [] | [
509,
6
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508,
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Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_neg_of_neg_of_pos | [
{
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"tactic": "simpa only [zero_mul] using mul_lt_mul_of_pos_right ha hb"
}
] | [
364,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
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Mathlib/LinearAlgebra/Determinant.lean | LinearEquiv.coe_inv_det | [] | [
385,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
384,
1
] |
Mathlib/Order/Monotone/Basic.lean | antitone_int_of_succ_le | [] | [
1060,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1059,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_pair | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.270424\nβ : Type u\nα : Type v\nγ : Type w\ns s₁ s₂ : Finset α\na✝ : α\nf g : α → β\ninst✝¹ : CommMonoid β\ninst✝ : DecidableEq α\na b : α\nh : a ≠ b\n⊢ ∏ x in {a, b}, f x = f a * f b",
"tactic": "rw [prod_insert (not_mem_singleton.2 h), prod_sin... | [
354,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
352,
1
] |
Mathlib/SetTheory/ZFC/Basic.lean | ZFSet.toSet_insert | [
{
"state_after": "case h\nx y x✝ : ZFSet\n⊢ x✝ ∈ toSet (insert x y) ↔ x✝ ∈ insert x (toSet y)",
"state_before": "x y : ZFSet\n⊢ toSet (insert x y) = insert x (toSet y)",
"tactic": "ext"
},
{
"state_after": "no goals",
"state_before": "case h\nx y x✝ : ZFSet\n⊢ x✝ ∈ toSet (insert x y) ↔ x✝ ∈ ... | [
914,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
912,
1
] |
Mathlib/Algebra/Group/Basic.lean | div_div_div_eq | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.43547\nG : Type ?u.43550\ninst✝ : DivisionCommMonoid α\na b c d : α\n⊢ a / b / (c / d) = a * d / (b * c)",
"tactic": "simp"
}
] | [
585,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
585,
1
] |
Mathlib/Algebra/Order/Archimedean.lean | archimedean_iff_nat_lt | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedField α\nH : ∀ (x : α), ∃ n, x < ↑n\nx y : α\ny0 : 0 < y\nn : ℕ\nh : x / y < ↑n\n⊢ x < n • y",
"tactic": "rwa [div_lt_iff y0, ← nsmul_eq_mul] at h"
}
] | [
334,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_closure_iff | [] | [
2367,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2366,
1
] |
Mathlib/Algebra/GCDMonoid/Multiset.lean | Multiset.gcd_union | [
{
"state_after": "α : Type u_1\ninst✝² : CancelCommMonoidWithZero α\ninst✝¹ : NormalizedGCDMonoid α\ninst✝ : DecidableEq α\ns₁ s₂ : Multiset α\n⊢ ∀ (a : α), a ∈ s₁ ∪ s₂ ↔ a ∈ s₁ + s₂",
"state_before": "α : Type u_1\ninst✝² : CancelCommMonoidWithZero α\ninst✝¹ : NormalizedGCDMonoid α\ninst✝ : DecidableEq α\n... | [
218,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Data/List/Rdrop.lean | List.rtake_concat_succ | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\np : α → Bool\nl : List α\nn : ℕ\nx : α\n⊢ rtake (l ++ [x]) (n + 1) = rtake l n ++ [x]",
"tactic": "simp [rtake_eq_reverse_take_reverse]"
}
] | [
94,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/Algebra/Order/Floor.lean | Nat.floor_lt | [] | [
142,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.zero_not_mem_frange | [] | [
996,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
996,
1
] |
src/lean/Init/SimpLemmas.lean | Bool.not_eq_true' | [
{
"state_after": "no goals",
"state_before": "b : Bool\n⊢ ((!b) = true) = (b = false)",
"tactic": "cases b <;> simp"
}
] | [
128,
98
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
128,
9
] |
Mathlib/Analysis/NormedSpace/Star/Multiplier.lean | DoubleCentralizer.one_snd | [] | [
293,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | Measurable.ennreal_toNNReal | [] | [
1893,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1891,
1
] |
Mathlib/Data/Set/Pairwise/Basic.lean | Set.Pairwise.insert_of_symmetric | [] | [
188,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean | Real.range_arctan | [] | [
133,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_periodic | [] | [
311,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
1
] |
Mathlib/Algebra/Module/LocalizedModule.lean | LocalizedModule.nsmul_succ' | [] | [
206,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
9
] |
Mathlib/Order/CompleteLattice.lean | iSup_mono' | [] | [
859,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
858,
1
] |
Mathlib/Algebra/Homology/QuasiIso.lean | HomologicalComplex.Hom.toSingle₀CokernelAtZeroIso_hom_eq | [
{
"state_after": "ι : Type ?u.23209\nV : Type u\ninst✝⁸ : Category V\ninst✝⁷ : HasZeroMorphisms V\ninst✝⁶ : HasZeroObject V\ninst✝⁵ : HasEqualizers V\ninst✝⁴ : HasImages V\ninst✝³ : HasImageMaps V\ninst✝² : HasCokernels V\nc : ComplexShape ι\nC D E : HomologicalComplex V c\nW : Type ?u.23383\ninst✝¹ : Category ... | [
122,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.Lp.simpleFunc.exists_simpleFunc_nonneg_ae_eq | [
{
"state_after": "α : Type u_1\nβ : Type ?u.2426547\nι : Type ?u.2426550\nE : Type ?u.2426553\nF : Type ?u.2426556\n𝕜 : Type ?u.2426559\ninst✝³ : MeasurableSpace α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\np : ℝ≥0∞\nμ : Measure α\nG : Type u_2\ninst✝ : NormedLatticeAddCommGroup G\nf : { x ... | [
880,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
849,
1
] |
Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivAt.comp | [] | [
179,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
8
] |
Mathlib/RingTheory/DedekindDomain/Ideal.lean | IsDedekindDomainInv.integrallyClosed | [
{
"state_after": "R : Type ?u.131805\nA : Type u_1\nK : Type ?u.131811\ninst✝⁵ : CommRing R\ninst✝⁴ : CommRing A\ninst✝³ : Field K\ninst✝² : IsDomain A\ninst✝¹ : Algebra A K\ninst✝ : IsFractionRing A K\nh : IsDedekindDomainInv A\nx : FractionRing A\nhx : IsIntegral A x\n⊢ ∃ y, ↑(algebraMap A (FractionRing A)) y... | [
307,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffOn.smul | [] | [
1518,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1516,
1
] |
Mathlib/LinearAlgebra/Basic.lean | Submodule.mem_comap | [] | [
798,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
797,
1
] |
Mathlib/MeasureTheory/Group/Measure.lean | MeasureTheory.Measure.isHaarMeasure_of_isCompact_nonempty_interior | [] | [
745,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
740,
1
] |
Mathlib/Topology/Algebra/GroupWithZero.lean | ContinuousWithinAt.div_const | [] | [
69,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
8
] |
Mathlib/Topology/Instances/Discrete.lean | discreteTopology_iff_orderTopology_of_pred_succ | [
{
"state_after": "case refine'_1\nα : Type u_1\ninst✝³ : TopologicalSpace α\ninst✝² : LinearOrder α\ninst✝¹ : PredOrder α\ninst✝ : SuccOrder α\nh : DiscreteTopology α\n⊢ inst✝³ = generateFrom {s | ∃ a, s = Ioi a ∨ s = Iio a}\n\ncase refine'_2\nα : Type u_1\ninst✝³ : TopologicalSpace α\ninst✝² : LinearOrder α\ni... | [
113,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
1
] |
Mathlib/MeasureTheory/Group/Arithmetic.lean | measurableSet_eq_fun | [
{
"state_after": "G : Type ?u.1993632\nα : Type u_1\ninst✝⁵ : MeasurableSpace G\ninst✝⁴ : Div G\nm✝ : MeasurableSpace α\nf✝ g✝ : α → G\nμ : MeasureTheory.Measure α\nm : MeasurableSpace α\nE : Type u_2\ninst✝³ : MeasurableSpace E\ninst✝² : AddGroup E\ninst✝¹ : MeasurableSingletonClass E\ninst✝ : MeasurableSub₂ E... | [
387,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/Analysis/Calculus/LocalExtr.lean | exists_hasDerivAt_eq_zero' | [
{
"state_after": "f f' : ℝ → ℝ\na b l : ℝ\nhab : a < b\nhfa : Tendsto f (𝓝[Ioi a] a) (𝓝 l)\nhfb : Tendsto f (𝓝[Iio b] b) (𝓝 l)\nhff' : ∀ (x : ℝ), x ∈ Ioo a b → HasDerivAt f (f' x) x\nthis : ContinuousOn f (Ioo a b)\n⊢ ∃ c, c ∈ Ioo a b ∧ f' c = 0",
"state_before": "f f' : ℝ → ℝ\na b l : ℝ\nhab : a < b\nh... | [
329,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.mkOfCompact_add | [] | [
694,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
693,
1
] |
Mathlib/Data/Nat/Totient.lean | Nat.totient_mul_prod_factors | [
{
"state_after": "case pos\nn : ℕ\nhn : n = 0\n⊢ φ n * ∏ p in List.toFinset (factors n), p = n * ∏ p in List.toFinset (factors n), (p - 1)\n\ncase neg\nn : ℕ\nhn : ¬n = 0\n⊢ φ n * ∏ p in List.toFinset (factors n), p = n * ∏ p in List.toFinset (factors n), (p - 1)",
"state_before": "n : ℕ\n⊢ φ n * ∏ p in Lis... | [
304,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
296,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.X_pow_dvd_iff | [
{
"state_after": "case mp\nσ : Type u_1\nR : Type u_2\ninst✝ : Semiring R\ns : σ\nn : ℕ\nφ : MvPowerSeries σ R\n⊢ X s ^ n ∣ φ → ∀ (m : σ →₀ ℕ), ↑m s < n → ↑(coeff R m) φ = 0\n\ncase mpr\nσ : Type u_1\nR : Type u_2\ninst✝ : Semiring R\ns : σ\nn : ℕ\nφ : MvPowerSeries σ R\n⊢ (∀ (m : σ →₀ ℕ), ↑m s < n → ↑(coeff R ... | [
790,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
740,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.coe_toLinearEquiv | [] | [
579,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | differentiableWithinAt_const | [] | [
1083,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1082,
1
] |
Mathlib/Order/BooleanAlgebra.lean | sup_inf_inf_sdiff | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type ?u.22731\nw x y z : α\ninst✝ : GeneralizedBooleanAlgebra α\n⊢ x ⊓ y ⊓ z ⊔ y \\ z = x ⊓ (y ⊓ z) ⊔ y \\ z",
"tactic": "rw [inf_assoc]"
},
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type ?u.22731\nw x y z : α\... | [
341,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
337,
1
] |
Mathlib/Init/Data/Nat/Bitwise.lean | Nat.land'_bit | [] | [
478,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
477,
1
] |
Mathlib/Data/List/Count.lean | List.le_count_iff_replicate_sublist | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nl : List α\ninst✝ : DecidableEq α\nn : ℕ\na : α\nh : replicate n a <+ l\n⊢ n ≤ count a l",
"tactic": "simpa only [count_replicate_self] using h.count_le a"
}
] | [
301,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_pos_iff_lt | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝² : CanonicallyLinearOrderedAddMonoid α\ninst✝¹ : Sub α\ninst✝ : OrderedSub α\na b c d : α\n⊢ 0 < a - b ↔ b < a",
"tactic": "rw [tsub_pos_iff_not_le, not_le]"
}
] | [
423,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
1
] |
Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivAt.comp_hasFDerivWithinAt | [] | [
151,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.PosDef.nonneg | [] | [
934,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
933,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.FinStronglyMeasurable.sub | [] | [
1093,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1087,
11
] |
Mathlib/Data/Nat/Prime.lean | Nat.irreducible_iff_nat_prime | [] | [
54,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
] |
Mathlib/Algebra/Order/Group/Abs.lean | abs_sub_le | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedAddCommGroup α\na✝ b✝ c✝ d a b c : α\n⊢ abs (a - c) = abs (a - b + (b - c))",
"tactic": "rw [sub_add_sub_cancel]"
}
] | [
358,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
355,
1
] |
Mathlib/Topology/UniformSpace/Basic.lean | uniformity_eq_symm | [] | [
527,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
526,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.empty_inter | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.183429\nγ : Type ?u.183432\ninst✝ : DecidableEq α\ns✝ s₁ s₂ t t₁ t₂ u v : Finset α\na b : α\ns : Finset α\nx✝ : α\n⊢ x✝ ∈ ∅ ∧ x✝ ∈ s ↔ x✝ ∈ ∅",
"tactic": "simp"
}
] | [
1640,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1639,
1
] |
Mathlib/Algebra/Tropical/Basic.lean | Tropical.surjective_trop | [] | [
152,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Algebra/Homology/Augment.lean | CochainComplex.augment_X_succ | [] | [
270,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
] |
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