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Std/Logic.lean | Or.resolve_right | [] | [
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.exists_countable_dense_no_zero_top | [
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690,
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685,
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Mathlib/Algebra/Order/Ring/WithTop.lean | WithTop.top_mul | [
{
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60,
94
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.ediam_image | [] | [
325,
27
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.mem_closure_pair | [
{
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3521,
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.preimage_mul_left_singleton | [
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1222,
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src/lean/Init/Data/Nat/Basic.lean | Nat.not_lt_eq | [] | [
728,
158
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Mathlib/Algebra/Group/Units.lean | eq_one_of_mul_right | [
{
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Mathlib/Algebra/Hom/Ring.lean | RingHom.ext | [] | [
537,
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536,
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Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | BilinForm.toMatrix'_compLeft | [
{
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Mathlib/Computability/Primrec.lean | Primrec.option_bind₁ | [] | [
630,
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Mathlib/Algebra/Lie/Submodule.lean | LieModuleHom.le_ker_iff_map | [
{
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Mathlib/CategoryTheory/Iso.lean | CategoryTheory.asIso_inv | [] | [
325,
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.isOrtho_smul_left | [
{
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Mathlib/LinearAlgebra/QuadraticForm/Complex.lean | QuadraticForm.equivalent_sum_squares | [] | [
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Mathlib/Data/Finset/Sort.lean | Finset.min'_eq_sorted_zero | [
{
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114,
39
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Mathlib/Algebra/Order/Ring/Defs.lean | mul_lt_mul | [] | [
522,
80
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Mathlib/Data/Complex/Exponential.lean | Complex.sinh_neg | [
{
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605,
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Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.affineCombination_vsub | [
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438,
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Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.sum_nodalWeight_mul_inv_sub_ne_zero | [
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Mathlib/Topology/Semicontinuous.lean | lowerSemicontinuous_iff_isClosed_preimage | [
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Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsLimit.lift_comp_conePointUniqueUpToIso_inv | [
{
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179,
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177,
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Mathlib/Analysis/Calculus/MeanValue.lean | lipschitzWith_of_nnnorm_deriv_le | [] | [
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Mathlib/LinearAlgebra/Matrix/Polynomial.lean | Polynomial.natDegree_det_X_add_C_le | [
{
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Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.mem_infPrepartition_comm | [
{
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.image_ball | [] | [
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Mathlib/Algebra/MonoidAlgebra/Division.lean | AddMonoidAlgebra.support_divOf | [] | [
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Mathlib/Analysis/BoxIntegral/Partition/Basic.lean | BoxIntegral.Prepartition.mem_restrict' | [
{
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}
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493,
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Mathlib/Logic/Equiv/Defs.lean | Equiv.cast_trans | [
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Mathlib/Algebra/GroupWithZero/Defs.lean | mul_self_eq_zero | [
{
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] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/Image.lean | Finset.attach_image_val | [
{
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586,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
585,
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Mathlib/Data/IsROrC/Basic.lean | IsROrC.div_re | [
{
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] | [
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackConeOfLeftIso_π_app_right | [] | [
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Mathlib/Data/Seq/Computation.lean | Computation.exists_of_mem_map | [
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900,
41
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Mathlib/Data/Finset/Basic.lean | Finset.not_mem_sdiff_of_mem_right | [
{
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] | [
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Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.prod.rightUnitor_hom_naturality | [] | [
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Mathlib/NumberTheory/PythagoreanTriples.lean | PythagoreanTriple.zero | [
{
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Mathlib/Topology/MetricSpace/Antilipschitz.lean | AntilipschitzWith.comp | [
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Mathlib/Topology/Constructions.lean | isOpen_prod_iff' | [
{
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Mathlib/Topology/MetricSpace/Algebra.lean | dist_smul_pair | [] | [
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38
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Mathlib/Data/Real/EReal.lean | EReal.coe_ennreal_ne_bot | [] | [
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Mathlib/Algebra/Algebra/Operations.lean | Submodule.mul_le_mul | [] | [
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Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.map_smul | [
{
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664,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
663,
1
] |
Mathlib/Data/Fintype/Powerset.lean | Finset.mem_powerset_len_univ_iff | [] | [
44,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
42,
1
] |
Mathlib/Data/MvPolynomial/Counit.lean | MvPolynomial.counit_surjective | [] | [
86,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
1
] |
Mathlib/Analysis/MeanInequalities.lean | Real.inner_le_Lp_mul_Lq_hasSum_of_nonneg | [
{
"state_after": "case intro\nι : Type u\ns : Finset ι\ng : ι → ℝ\np q : ℝ\nhpq : IsConjugateExponent p q\nA B : ℝ\nhA : 0 ≤ A\nhB : 0 ≤ B\nhg : ∀ (i : ι), 0 ≤ g i\nhg_sum : HasSum (fun i => g i ^ q) (B ^ q)\nf : ι → ℝ≥0\nhf_sum : HasSum (fun i => (fun i => ↑(f i)) i ^ p) (A ^ p)\n⊢ ∃ C, 0 ≤ C ∧ C ≤ A * B ∧ Has... | [
646,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
635,
1
] |
Mathlib/Analysis/Convex/Function.lean | neg_strictConcaveOn_iff | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.678489\nα : Type ?u.678492\nβ : Type u_3\nι : Type ?u.678498\ninst✝⁵ : OrderedSemiring 𝕜\ninst✝⁴ : AddCommMonoid E\ninst✝³ : AddCommMonoid F\ninst✝² : OrderedAddCommGroup β\ninst✝¹ : SMul 𝕜 E\ninst✝ : Module 𝕜 β\ns : S... | [
872,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
871,
1
] |
Mathlib/NumberTheory/LegendreSymbol/MulCharacter.lean | MulChar.inv_apply | [
{
"state_after": "case pos\nR✝ : Type u\ninst✝² : CommMonoid R✝\nR' : Type v\ninst✝¹ : CommMonoidWithZero R'\nR : Type u\ninst✝ : CommMonoidWithZero R\nχ : MulChar R R'\na : R\nha : IsUnit a\n⊢ ↑χ⁻¹ a = ↑χ (Ring.inverse a)\n\ncase neg\nR✝ : Type u\ninst✝² : CommMonoid R✝\nR' : Type v\ninst✝¹ : CommMonoidWithZer... | [
367,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
350,
1
] |
Mathlib/Analysis/NormedSpace/HahnBanach/Separation.lean | geometric_hahn_banach_open_open | [
{
"state_after": "case inl\n𝕜 : Type ?u.69030\nE : Type u_1\ninst✝⁴ : TopologicalSpace E\ninst✝³ : AddCommGroup E\ninst✝² : TopologicalAddGroup E\ninst✝¹ : Module ℝ E\ninst✝ : ContinuousSMul ℝ E\nt : Set E\nx y : E\nht₁ : Convex ℝ t\nht₃ : IsOpen t\nhs₁ : Convex ℝ ∅\nhs₂ : IsOpen ∅\ndisj : Disjoint ∅ t\n⊢ ∃ f ... | [
149,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/Algebra/Tropical/Basic.lean | Tropical.untrop_eq_iff_eq_trop | [] | [
140,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
] |
Mathlib/Data/Complex/Exponential.lean | Real.cos_abs | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\n⊢ cos (abs' x) = cos x",
"tactic": "cases le_total x 0 <;> simp only [*, _root_.abs_of_nonneg, abs_of_nonpos, cos_neg]"
}
] | [
1198,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1197,
1
] |
Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.Compacts.coe_bot | [] | [
123,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
1
] |
Std/Classes/LawfulMonad.lean | SatisfiesM.trivial | [] | [
84,
59
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
83,
11
] |
Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.piecewise_univ | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.39189\nδ : Type ?u.39192\ninst✝ : MeasurableSpace α\nf g : α →ₛ β\n⊢ Set.piecewise univ ↑f ↑g = ↑f",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.39189\nδ : Type ?u.39192\ninst✝ : MeasurableSpace α\nf g : α →ₛ β\n⊢ ↑(piecewise univ (_ : M... | [
262,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
1
] |
Mathlib/Topology/LocallyConstant/Basic.lean | LocallyConstant.mulIndicator_of_not_mem | [] | [
564,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
563,
1
] |
Mathlib/Algebra/Star/Pi.lean | Pi.star_apply | [] | [
36,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
35,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.lt_iff_le_not_le | [] | [
42,
81
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
41,
11
] |
Mathlib/CategoryTheory/GlueData.lean | CategoryTheory.GlueData.hasColimit_multispan_comp | [] | [
345,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
1
] |
Mathlib/Topology/MetricSpace/ShrinkingLemma.lean | exists_iUnion_ball_eq_radius_pos_lt | [] | [
83,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.mem_support_iff | [] | [
1138,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1137,
1
] |
Mathlib/Algebra/Order/LatticeGroup.lean | LatticeOrderedCommGroup.mabs_of_one_le | [] | [
521,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
520,
1
] |
Mathlib/Topology/PartitionOfUnity.lean | PartitionOfUnity.IsSubordinate.continuous_finsum_smul | [] | [
223,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
220,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | DifferentiableOn.sub | [] | [
508,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
507,
1
] |
Mathlib/AlgebraicGeometry/PresheafedSpace.lean | AlgebraicGeometry.PresheafedSpace.id_base | [] | [
202,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
201,
1
] |
Mathlib/Topology/Basic.lean | accPt_iff_frequently | [
{
"state_after": "no goals",
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"tactic": "simp [acc_principal_iff_cluster, clusterPt_principal_iff_frequen... | [
1191,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1190,
1
] |
Mathlib/Data/Set/Basic.lean | Set.ssubset_of_ssubset_of_subset | [] | [
417,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
415,
11
] |
src/lean/Init/Data/Nat/Basic.lean | Nat.sub_eq_of_eq_add | [
{
"state_after": "no goals",
"state_before": "a b c : Nat\nh : a = c + b\n⊢ a - b = c",
"tactic": "rw [h, Nat.add_sub_cancel]"
}
] | [
611,
29
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
610,
11
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.exists_maximal_degree_vertex | [
{
"state_after": "case intro\nι : Sort ?u.292636\n𝕜 : Type ?u.292639\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v w : V\ne : Sym2 V\ninst✝² : Fintype V\ninst✝¹ : DecidableRel G.Adj\ninst✝ : Nonempty V\nt : ℕ\nht : Finset.max (image (fun v => degree G v) univ) = ↑t\n⊢ ∃ ... | [
1555,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1547,
1
] |
Mathlib/Data/Bool/Basic.lean | Bool.or_comm | [
{
"state_after": "no goals",
"state_before": "⊢ ∀ (a b : Bool), (a || b) = (b || a)",
"tactic": "decide"
}
] | [
151,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Data/Nat/Size.lean | Nat.size_shiftl | [] | [
127,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.inverse_non_equiv | [] | [
2507,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2506,
1
] |
Mathlib/Combinatorics/Colex.lean | Colex.hom_le_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\ninst✝¹ : LinearOrder α\ninst✝ : LinearOrder β\nf : α → β\nh₁ : StrictMono f\nA B : Finset α\n⊢ toColex (image f A) ≤ toColex (image f B) ↔ toColex A ≤ toColex B",
"tactic": "rw [le_iff_le_iff_lt_iff_lt, hom_lt_iff h₁]"
}
] | [
247,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
1
] |
Mathlib/GroupTheory/Subgroup/Pointwise.lean | Subgroup.normal_mul | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.32325\nG : Type u_1\nA : Type ?u.32331\nS : Type ?u.32334\ninst✝² : Group G\ninst✝¹ : AddGroup A\ns : Set G\nN H : Subgroup G\ninst✝ : Normal N\n⊢ ↑(N ⊔ H) = ↑N * ↑H",
"tactic": "rw [← set_mul_normal_comm, sup_comm, mul_normal]"
}
] | [
191,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
190,
1
] |
Mathlib/Topology/UniformSpace/CompareReals.lean | Rat.uniformSpace_eq | [
{
"state_after": "case a.a\ns : Set (ℚ × ℚ)\n⊢ s ∈ uniformity ℚ ↔ s ∈ uniformity ℚ",
"state_before": "⊢ AbsoluteValue.uniformSpace AbsoluteValue.abs = PseudoMetricSpace.toUniformSpace",
"tactic": "ext s"
},
{
"state_after": "case a.a\ns : Set (ℚ × ℚ)\n⊢ (∃ i, 0 < i ∧ {p | ↑AbsoluteValue.abs (p.s... | [
68,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
63,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.eq_top_iff' | [] | [
466,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
465,
1
] |
Mathlib/Algebra/CharP/LocalRing.lean | charP_zero_or_prime_power | [
{
"state_after": "R : Type u_1\ninst✝¹ : CommRing R\ninst✝ : LocalRing R\nq : ℕ\nchar_R_q : CharP R q\n⊢ ¬q = 0 → IsPrimePow q",
"state_before": "R : Type u_1\ninst✝¹ : CommRing R\ninst✝ : LocalRing R\nq : ℕ\nchar_R_q : CharP R q\n⊢ q = 0 ∨ IsPrimePow q",
"tactic": "apply or_iff_not_imp_left.2"
},
{... | [
70,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
28,
1
] |
Mathlib/Analysis/Normed/Field/Basic.lean | nnnorm_mul_le | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.12527\nγ : Type ?u.12530\nι : Type ?u.12533\ninst✝ : NonUnitalSeminormedRing α\na b : α\n⊢ ‖a * b‖₊ ≤ ‖a‖₊ * ‖b‖₊",
"tactic": "simpa only [← norm_toNNReal, ← Real.toNNReal_mul (norm_nonneg _)] using\n Real.toNNReal_mono (norm_mul_l... | [
201,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
1
] |
Mathlib/MeasureTheory/Measure/FiniteMeasure.lean | MeasureTheory.FiniteMeasure.restrict_apply | [
{
"state_after": "Ω : Type u_1\ninst✝⁴ : MeasurableSpace Ω\nR : Type ?u.38918\ninst✝³ : SMul R ℝ≥0\ninst✝² : SMul R ℝ≥0∞\ninst✝¹ : IsScalarTower R ℝ≥0 ℝ≥0∞\ninst✝ : IsScalarTower R ℝ≥0∞ ℝ≥0∞\nμ : FiniteMeasure Ω\nA s : Set Ω\ns_mble : MeasurableSet s\n⊢ ↑↑↑(restrict μ A) s = ↑↑↑μ (s ∩ A)",
"state_before": "... | [
293,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/RingTheory/GradedAlgebra/Basic.lean | DirectSum.coe_decompose_mul_add_of_left_mem | [
{
"state_after": "case intro\nι : Type u_1\nR : Type ?u.154109\nA : Type u_2\nσ : Type u_3\ninst✝⁵ : DecidableEq ι\ninst✝⁴ : Semiring A\ninst✝³ : SetLike σ A\ninst✝² : AddSubmonoidClass σ A\n𝒜 : ι → σ\ni j : ι\ninst✝¹ : AddLeftCancelMonoid ι\ninst✝ : GradedRing 𝒜\nb : A\na : { x // x ∈ 𝒜 i }\n⊢ ↑(↑(↑(decompo... | [
145,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
] |
Mathlib/Order/ModularLattice.lean | covby_sup_of_inf_covby_of_inf_covby_right | [
{
"state_after": "α : Type u_1\ninst✝¹ : Lattice α\ninst✝ : IsWeakUpperModularLattice α\na b : α\n⊢ b ⊓ a ⋖ a → b ⊓ a ⋖ b → b ⋖ b ⊔ a",
"state_before": "α : Type u_1\ninst✝¹ : Lattice α\ninst✝ : IsWeakUpperModularLattice α\na b : α\n⊢ a ⊓ b ⋖ a → a ⊓ b ⋖ b → b ⋖ a ⊔ b",
"tactic": "rw [inf_comm, sup_comm... | [
107,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
] |
Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.Limit.w_apply | [] | [
191,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/Analysis/NormedSpace/Banach.lean | AffineMap.isOpenMap | [] | [
274,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
269,
1
] |
Mathlib/CategoryTheory/Closed/Cartesian.lean | CategoryTheory.coev_app_comp_pre_app | [] | [
297,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
1
] |
Mathlib/Algebra/FreeMonoid/Basic.lean | FreeMonoid.lift_of_comp_eq_map | [] | [
342,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
342,
1
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.Memℒp.const_smul | [] | [
1485,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1483,
1
] |
Mathlib/Data/Complex/Exponential.lean | Real.sin_sub | [
{
"state_after": "no goals",
"state_before": "x y : ℝ\n⊢ sin (x - y) = sin x * cos y - cos x * sin y",
"tactic": "simp [sub_eq_add_neg, sin_add, sin_neg, cos_neg]"
}
] | [
1206,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1205,
1
] |
Mathlib/Data/Nat/Prime.lean | Nat.prime_dvd_prime_iff_eq | [] | [
212,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Data/List/Sigma.lean | List.mem_lookupAll | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : α → Type v\nl l₁ l₂ : List (Sigma β)\ninst✝ : DecidableEq α\na : α\nb : β a\n⊢ b ∈ lookupAll a [] ↔ { fst := a, snd := b } ∈ []",
"tactic": "simp"
},
{
"state_after": "case pos\nα : Type u\nβ : α → Type v\nl✝ l₁ l₂ : List (Sigma β)\ni... | [
299,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
1
] |
Mathlib/Analysis/ODE/PicardLindelof.lean | PicardLindelof.lipschitzOnWith | [] | [
107,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
11
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.lt_add_right | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.124501\nβ : Type ?u.124504\na b c d : ℝ≥0∞\nr p q : ℝ≥0\nha : a ≠ ⊤\nhb : b ≠ 0\n⊢ a < a + b",
"tactic": "rwa [← pos_iff_ne_zero, ← ENNReal.add_lt_add_iff_left ha, add_zero] at hb"
}
] | [
802,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
801,
1
] |
Mathlib/Order/CountableDenseLinearOrder.lean | Order.exists_between_finsets | [] | [
69,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/Data/Finsupp/Lex.lean | Finsupp.toLex_monotone | [] | [
92,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
1
] |
Mathlib/Analysis/Convex/Function.lean | ConvexOn.subset | [] | [
108,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.sigmaCurry_single | [
{
"state_after": "case mk\nι : Type u\nγ : Type w\nβ : ι → Type v\nβ₁ : ι → Type v₁\nβ₂ : ι → Type v₂\ndec : DecidableEq ι\nκ : Type ?u.625564\nα : ι → Type u_1\nδ : (i : ι) → α i → Type v\ninst✝¹ : (i : ι) → DecidableEq (α i)\ninst✝ : (i : ι) → (j : α i) → Zero (δ i j)\ni : ι\nj : α i\nx : δ { fst := i, snd :=... | [
1521,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1507,
1
] |
Mathlib/MeasureTheory/MeasurableSpaceDef.lean | MeasurableSpace.generateFrom_insert_univ | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.22240\nγ : Type ?u.22243\nδ : Type ?u.22246\nδ' : Type ?u.22249\nι : Sort ?u.22252\ns t u : Set α\nS : Set (Set α)\n⊢ generateFrom (insert univ S) = generateFrom S",
"tactic": "rw [insert_eq, ← generateFrom_sup_generateFrom, generat... | [
454,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_const_iff | [] | [
1363,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1361,
1
] |
Mathlib/Data/Polynomial/HasseDeriv.lean | Polynomial.hasseDeriv_mul | [
{
"state_after": "R : Type u_1\ninst✝ : Semiring R\nk : ℕ\nf✝ f g : R[X]\nD : ℕ → R[X] →+ R[X] := fun k => LinearMap.toAddMonoidHom (hasseDeriv k)\n⊢ ↑(hasseDeriv k) (f * g) = ∑ ij in antidiagonal k, ↑(hasseDeriv ij.fst) f * ↑(hasseDeriv ij.snd) g",
"state_before": "R : Type u_1\ninst✝ : Semiring R\nk : ℕ\n... | [
269,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
235,
1
] |
Mathlib/Order/JordanHolder.lean | CompositionSeries.append_succ_natAdd | [
{
"state_after": "no goals",
"state_before": "X : Type u\ninst✝¹ : Lattice X\ninst✝ : JordanHolderLattice X\ns₁ s₂ : CompositionSeries X\nh : top s₁ = bot s₂\ni : Fin s₂.length\n⊢ series (append s₁ s₂ h) (Fin.succ (↑(Fin.natAdd s₁.length) i)) = series s₂ (Fin.succ i)",
"tactic": "rw [coe_append, append_... | [
541,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
539,
1
] |
Mathlib/Algebra/BigOperators/Order.lean | Finset.sum_card_inter | [] | [
359,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.coeff_comp_degree_mul_degree | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\nhqd0 : natDegree q ≠ 0\n⊢ (sum p fun a b => coeff (↑C b * q ^ a) (natDegree p * natDegree q)) = leadingCoeff p * leadingCoeff q ^ natDegree p",
"state_before": "R : Type u\nS : Type v\nT : T... | [
680,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
665,
1
] |
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