file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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values | start list |
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Mathlib/Topology/SubsetProperties.lean | isClopen_discrete | [] | [
1639,
43
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1638,
1
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Mathlib/Algebra/Hom/Units.lean | IsUnit.div_mul_left | [
{
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"tactic": "rw [div_eq_mul_inv, mul_inv_rev, h.mul_inv_cancel_left, one_div]"
}
] | [
443,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Term.realize_constantsVarsEquivLeft | [
{
"state_after": "L : Language\nL' : Language\nM : Type w\nN : Type ?u.22479\nP : Type ?u.22482\ninst✝⁴ : Structure L M\ninst✝³ : Structure L N\ninst✝² : Structure L P\nα : Type u'\nβ : Type v'\ninst✝¹ : Structure (L[[α]]) M\ninst✝ : LHom.IsExpansionOn (lhomWithConstants L α) M\nn : ℕ\nt : Term (L[[α]]) (β ⊕ Fi... | [
204,
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.comap_id | [] | [
267,
43
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266,
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Mathlib/Analysis/Convex/Basic.lean | Convex.affine_preimage | [] | [
498,
40
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497,
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Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.ofReal_rpow_of_nonneg | [
{
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755,
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Mathlib/Analysis/Fourier/FourierTransform.lean | Real.vector_fourierIntegral_eq_integral_exp_smul | [
{
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259,
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Mathlib/RingTheory/IntegralClosure.lean | isIntegral_of_mem_of_FG | [
{
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351,
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254,
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Mathlib/Data/Sym/Sym2.lean | Sym2.fromRel_irreflexive | [
{
"state_after": "α : Type u_1\nβ : Type ?u.46398\nγ : Type ?u.46401\nr : α → α → Prop\nsym : Symmetric r\nh : Irreflexive r\n⊢ ∀ {z : Sym2 α}, z ∈ fromRel sym → ¬IsDiag z",
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518,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
515,
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Mathlib/Analysis/InnerProductSpace/Orientation.lean | OrthonormalBasis.det_adjustToOrientation | [
{
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141,
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Mathlib/Data/Finset/Sym.lean | Finset.sym_nonempty | [
{
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... | [
204,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
201,
1
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.sumFinsuppLEquivProdFinsupp_symm_inl | [] | [
956,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
954,
1
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Mathlib/Data/IsROrC/Basic.lean | IsROrC.add_conj | [
{
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},
{
"state_after": "no goals",
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397,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
394,
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Mathlib/RingTheory/FractionalIdeal.lean | IsFractional.nsmul | [
{
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"state_before": "R : Type u_1\ninst✝² : CommRing R\nS : Submonoid R\nP : Type u_2\ninst✝¹ : C... | [
497,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
489,
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Mathlib/NumberTheory/LucasLehmer.lean | LucasLehmer.X.ω_mul_ωb | [
{
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},
{
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{
"state_after":... | [
370,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
368,
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Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.coe_int_inj | [
{
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}
] | [
357,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
356,
11
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.adj_of_mem_incidenceSet | [
{
"state_after": "no goals",
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"tactic": "rwa [← mk'_mem_incidenc... | [
865,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
862,
1
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Mathlib/Data/Real/EReal.lean | EReal.neg_eq_zero_iff | [] | [
788,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
787,
1
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Mathlib/Algebra/GroupPower/Lemmas.lean | zpow_induction_right | [
{
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302,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.isClosedMap_mk | [
{
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473,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Algebra/Operations.lean | Submodule.map_unop_one | [
{
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"tactic": "rw [← comap_equiv_eq_map_symm, comap_op_on... | [
150,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Data/List/FinRange.lean | List.ofFn_eq_map | [
{
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"state_before": "α✝ : Type u\nα : Type u_1\nn : ℕ\nf : Fin n → α\n⊢ ofFn f = map f (finRange n)",
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}
] | [
54,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.mem_prod | [] | [
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10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1716,
1
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Mathlib/Topology/Algebra/InfiniteSum/Ring.lean | Commute.tsum_left | [] | [
72,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
1
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Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.AEStronglyMeasurable.isSeparable_ae_range | [
{
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... | [
1569,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1565,
1
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Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.zpow_of_gcd_eq_one | [
{
"state_after": "case pos\nM : Type ?u.2707630\nN : Type ?u.2707633\nG : Type u_1\nR : Type ?u.2707639\nS : Type ?u.2707642\nF : Type ?u.2707645\ninst✝² : CommMonoid M\ninst✝¹ : CommMonoid N\ninst✝ : DivisionCommMonoid G\nk l : ℕ\nζ : G\nh : IsPrimitiveRoot ζ k\ni : ℤ\nhi : Int.gcd i ↑k = 1\nh0 : 0 ≤ i\n⊢ IsPr... | [
595,
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584,
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Mathlib/MeasureTheory/Function/LpOrder.lean | MeasureTheory.Lp.coeFn_inf | [] | [
101,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_eq_zero_of_ae | [
{
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953,
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952,
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Mathlib/Algebra/Homology/HomologicalComplex.lean | HomologicalComplex.congr_hom | [] | [
283,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
281,
1
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Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | WithSeminorms.withSeminorms_eq | [] | [
279,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
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Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.add_comp | [] | [
373,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
372,
1
] |
Mathlib/MeasureTheory/Function/UniformIntegrable.lean | MeasureTheory.uniformIntegrable_of' | [
{
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src/lean/Init/Data/AC.lean | Lean.Data.AC.Context.mergeIdem_head | [
{
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}
] | [
125,
35
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124,
1
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Mathlib/GroupTheory/Congruence.lean | Con.conGen_of_con | [
{
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546,
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Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.binaryProductCone_fst | [] | [
125,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
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Mathlib/Init/CcLemmas.lean | not_eq_of_eq_true | [] | [
73,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
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Mathlib/Combinatorics/Quiver/Cast.lean | Quiver.Hom.cast_rfl_rfl | [] | [
49,
6
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48,
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.IsNormal.isLimit | [] | [
483,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
480,
1
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Mathlib/Data/Fintype/Basic.lean | Set.toFinset_eq_empty | [
{
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"tactic": "rw [← toFinset_empty, toFinset_inj]"
}
] | [
748,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
747,
1
] |
Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.isSeparated_of_isSheaf | [] | [
749,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/IsConnected.lean | CategoryTheory.zag_symmetric | [] | [
257,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
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Mathlib/CategoryTheory/Generator.lean | CategoryTheory.isCoseparator_op_iff | [
{
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"tactic": "rw [IsSeparator, IsCoseparator, ← isCoseparating_op_iff, Set.singleton_op]"
}
] | [
411,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.eq_interpolate_of_eval_eq | [
{
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383,
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380,
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Mathlib/Data/Analysis/Filter.lean | Filter.Realizer.map_σ | [] | [
227,
6
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226,
1
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Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.toLinearMap₂'_apply | [] | [
206,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.injective | [] | [
994,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
993,
11
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Mathlib/Order/CompactlyGenerated.lean | Directed.disjoint_iSup_right | [
{
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404,
53
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402,
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Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.isSheafFor_subsieve_aux | [
{
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710,
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693,
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Mathlib/Algebra/Order/Ring/Defs.lean | StrictMono.mul_const_of_neg | [] | [
741,
47
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739,
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.SimpleFunc.integral_eq | [
{
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322,
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320,
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Mathlib/FieldTheory/IsAlgClosed/Basic.lean | IsAlgClosure.equivOfEquiv_algebraMap | [] | [
517,
61
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Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_sin_pow_odd_mul_cos_pow | [
{
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{
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802,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Instances/Matrix.lean | Matrix.blockDiagonal'_tsum | [
{
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443,
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436,
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Mathlib/Data/Nat/Fib.lean | Nat.fib_add_two_strictMono | [
{
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{
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... | [
125,
47
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122,
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Std/Data/List/Init/Lemmas.lean | List.foldr_eq_foldrM | [
{
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183,
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181,
1
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | Differentiable.cosh | [] | [
1087,
23
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1086,
1
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Mathlib/Data/List/Rotate.lean | List.length_cyclicPermutations_cons | [
{
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] | [
591,
93
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590,
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Mathlib/Analysis/Calculus/DiffContOnCl.lean | DiffContOnCl.const_smul | [] | [
123,
41
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121,
1
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.mem_iInf | [
{
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690,
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689,
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Mathlib/Data/Finset/Pointwise.lean | Finset.div_inter_subset | [] | [
680,
28
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679,
1
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Mathlib/Topology/Algebra/InfiniteSum/Order.lean | HasSum.nonneg | [] | [
129,
29
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128,
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Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.polar_neg_right | [
{
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303,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
302,
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Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.isDiag_fromBlocks_iff | [
{
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182,
36
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172,
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.direction_inf | [
{
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904,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
899,
1
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Mathlib/RingTheory/LaurentSeries.lean | LaurentSeries.single_order_mul_powerSeriesPart | [
{
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110,
34
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95,
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Mathlib/MeasureTheory/Group/Arithmetic.lean | List.measurable_prod | [
{
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883,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
881,
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Mathlib/Data/SetLike/Basic.lean | SetLike.coe_strictMono | [] | [
207,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
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Mathlib/Logic/Encodable/Basic.lean | ULower.down_eq_down | [] | [
540,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
539,
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Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.mem_prod | [] | [
655,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
653,
1
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Mathlib/Combinatorics/SetFamily/Intersecting.lean | Set.Intersecting.card_le | [
{
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"tactic": "classical\n refine' (s.disjUnion _ hs.disjoint_map_compl).card_le_univ.trans_eq' _\n rw [two_mul, card_disjUnion, car... | [
170,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
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Mathlib/MeasureTheory/Measure/NullMeasurable.lean | MeasureTheory.measure_union_add_inter₀' | [
{
"state_after": "no goals",
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"tactic": "rw [union_comm, inter_comm, measure_unio... | [
332,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
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Mathlib/Control/Basic.lean | seq_map_assoc | [
{
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71,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
1
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Mathlib/Data/List/Dedup.lean | List.mem_dedup | [
{
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"state_before": "case refine_2\nα : Type u\ninst✝ : DecidableEq α\na : α\nl : List α\nthis : (¬∀ (b : α), b ∈ pwFilte... | [
51,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.mul_right_strictMono | [] | [
567,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
565,
1
] |
Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.not_mem_support | [
{
"state_after": "no goals",
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"tactic": "simp"
}
] | [
297,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
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Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsLimit.map_π | [] | [
92,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
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Mathlib/Data/Set/Lattice.lean | Set.Sigma.univ | [] | [
1290,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1288,
1
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Mathlib/Data/FunLike/Equiv.lean | EquivLike.surjective | [] | [
170,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
11
] |
Mathlib/RingTheory/Ideal/Operations.lean | Ideal.span_singleton_mul_eq_span_singleton_mul | [
{
"state_after": "no goals",
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"tactic": ... | [
607,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
604,
1
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Mathlib/Data/List/Count.lean | List.countp_congr | [] | [
162,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
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Mathlib/Data/Int/Basic.lean | Int.coe_nat_ediv | [] | [
234,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
1
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Mathlib/Order/Circular.lean | btw_of_sbtw | [] | [
191,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
190,
1
] |
Mathlib/LinearAlgebra/Multilinear/Basic.lean | MultilinearMap.uncurrySum_aux_apply | [] | [
1485,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1482,
1
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Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integral_union_ae | [
{
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102,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
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Mathlib/Order/BoundedOrder.lean | BoundedOrder.ext | [
{
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540,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
1
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Mathlib/CategoryTheory/Closed/Monoidal.lean | CategoryTheory.MonoidalClosed.eq_curry_iff | [] | [
216,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
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Mathlib/Algebra/Hom/Ring.lean | RingHom.toMonoidHom_eq_coe | [] | [
474,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
473,
1
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Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.extend_function | [
{
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"tactic": "intros"
},
... | [
1202,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1196,
1
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Mathlib/Analysis/Calculus/Deriv/Inverse.lean | LocalHomeomorph.hasDerivAt_symm | [] | [
106,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
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Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean | MeasureTheory.Measure.add_haar_sphere | [
{
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503,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
1
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Mathlib/Analysis/Convex/Integral.lean | ConvexOn.map_set_average_le | [] | [
192,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
1
] |
Mathlib/Algebra/FreeAlgebra.lean | FreeAlgebra.ι_injective | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝³ : CommSemiring R\nX : Type u_2\nA : Type ?u.688668\ninst✝² : Semiring A\ninst✝¹ : Algebra R A\ninst✝ : Nontrivial R\nx y : X\nhoxy : ι R x = ι R y\n⊢ ¬x = y → False",
"tactic": "classical exact fun hxy : x ≠ y ↦\n let f : FreeAlgebra ... | [
445,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
] |
Mathlib/Data/Set/Sigma.lean | Set.image_sigmaMk_preimage_sigmaMap_subset | [] | [
42,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
39,
1
] |
Mathlib/GroupTheory/GroupAction/Quotient.lean | MulAction.card_orbit_mul_card_stabilizer_eq_card_group | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ninst✝⁵ inst✝⁴ : Group α\ninst✝³ : MulAction α β\nx b : β\ninst✝² : Fintype α\ninst✝¹ : Fintype ↑(orbit α b)\ninst✝ : Fintype { x // x ∈ stabilizer α b }\n⊢ Fintype.card ↑(orbit α b) * Fintype.card { x // x ∈ stabilizer α b } =... | [
217,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
214,
1
] |
Mathlib/Order/Filter/Ultrafilter.lean | Ultrafilter.comap_comap | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type ?u.19128\nf✝ g : Ultrafilter α\ns t : Set α\np q : α → Prop\nf : Ultrafilter γ\nm : α → β\nn : β → γ\ninj₀ : Injective n\nlarge₀ : range n ∈ f\ninj₁ : Injective m\nlarge₁ : range m ∈ comap f inj₀ large₀\ninj₂ : optParam (Injective (n ∘ m)) (_ : Injective (n ∘ m... | [
279,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
273,
8
] |
Mathlib/NumberTheory/RamificationInertia.lean | Ideal.Factors.ne_bot | [] | [
700,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
699,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.Nontrivial.infsep_of_fintype | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.68548\nβ : Type ?u.68551\ninst✝² : PseudoMetricSpace α\nx y z : α\ns t : Set α\ninst✝¹ : DecidableEq α\ninst✝ : Fintype ↑s\nhs : Set.Nontrivial s\n⊢ Finset.Nonempty (toFinset (offDiag s))",
"tactic": "simpa"
},
{
"state_after": "no goals"... | [
481,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
1
] |
Mathlib/Init/Data/Nat/Basic.lean | Nat.bit1_ne_zero | [] | [
39,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
38,
11
] |
Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Memℒp.indicator | [] | [
633,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
632,
1
] |
Mathlib/Data/Fin/Tuple/Reflection.lean | FinVec.sum_eq | [
{
"state_after": "no goals",
"state_before": "m n✝ : ℕ\nα : Type u_1\nβ : Type ?u.11237\nγ : Type ?u.11240\ninst✝ : AddCommMonoid α\nn : ℕ\na : Fin (n + 2) → α\n⊢ sum a = ∑ i : Fin (n + 2), a i",
"tactic": "rw [Fin.sum_univ_castSucc, sum, sum_eq]"
}
] | [
163,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
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