file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Algebra/IndicatorFunction.lean | Set.piecewise_eq_mulIndicator | [] | [
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67
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64,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.comap_top | [] | [
1579,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1578,
1
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Mathlib/RingTheory/Subring/Basic.lean | Subring.zero_mem | [] | [
348,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
347,
11
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Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.lift_id | [] | [
713,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
712,
1
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Mathlib/Analysis/Convex/Side.lean | Function.Injective.wOppSide_map_iff | [
{
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Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.totalDegree_rename_le | [
{
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27
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Mathlib/SetTheory/Game/PGame.lean | PGame.zero_le_lf | [
{
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{
"state_after"... | [
645,
7
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643,
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Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | Real.map_matrix_volume_pi_eq_smul_volume_pi | [
{
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444,
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426,
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Mathlib/RingTheory/Localization/Integral.lean | IsLocalization.integerNormalization_aeval_eq_zero | [
{
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120,
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Mathlib/GroupTheory/GroupAction/Sum.lean | Sum.smul_def | [] | [
42,
6
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Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.of_bot | [] | [
528,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
524,
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.coeff_map | [] | [
602,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
601,
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Mathlib/Data/Int/Units.lean | Int.isUnit_iff | [
{
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{
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44,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.top_toSubmonoid | [] | [
892,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
891,
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_dif | [
{
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Mathlib/Analysis/NormedSpace/Exponential.lean | of_real_exp_ℝ_ℝ | [] | [
674,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
673,
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Mathlib/Data/Nat/Cast/Defs.lean | Nat.cast_bit1 | [
{
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},
{
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181,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | dist_inv_inv | [] | [
401,
36
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399,
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Mathlib/Topology/Algebra/Group/Basic.lean | ContinuousAt.div' | [] | [
1128,
28
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Mathlib/Order/Filter/Germ.lean | Filter.Germ.map₂_coe | [] | [
216,
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214,
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Mathlib/Data/Real/Sqrt.lean | NNReal.sqrt_le_iff | [] | [
68,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/AlgebraicTopology/SimplexCategory.lean | SimplexCategory.δ_comp_δ | [
{
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"t... | [
226,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
217,
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Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPushout.zero_top | [] | [
710,
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709,
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Mathlib/Order/Cover.lean | Covby.le_of_lt | [] | [
439,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
438,
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Mathlib/LinearAlgebra/SymplecticGroup.lean | Matrix.J_squared | [
{
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"state_before": "l : Type u_1\nR : Type u_2\ninst✝² : DecidableEq l\ninst✝¹ : CommRing R\ninst✝ : Fint... | [
58,
61
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55,
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Mathlib/Tactic/NormNum/Core.lean | Mathlib.Meta.NormNum.IsInt.to_isNat | [
{
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] | [
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29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
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Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.comap_inf_map_of_injective | [] | [
406,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Set/Lattice.lean | Set.sigmaToiUnion_bijective | [] | [
2188,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2186,
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Mathlib/Order/Hom/Basic.lean | OrderIso.coe_trans | [] | [
901,
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900,
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Mathlib/LinearAlgebra/InvariantBasisNumber.lean | nontrivial_of_invariantBasisNumber | [
{
"state_after": "R : Type u\ninst✝¹ : Semiring R\ninst✝ : InvariantBasisNumber R\nh : ¬Nontrivial R\n⊢ False",
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"tactic": "by_contra h"
},
{
"state_after": "R : Type u\ninst✝¹ : Semiring R\ninst✝ :... | [
212,
38
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200,
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Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.naturalityProperty.stableUnderComposition | [
{
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350,
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Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.sub_mem_sup | [
{
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297,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
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Mathlib/NumberTheory/Padics/PadicNorm.lean | padicNorm.neg | [
{
"state_after": "no goals",
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},
{
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}
] | [
131,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
11
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Mathlib/Algebra/DirectSum/Internal.lean | Submodule.setLike.coe_galgebra_toFun | [] | [
305,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
302,
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Mathlib/Order/Heyting/Basic.lean | inf_compl_self | [] | [
873,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
872,
1
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Mathlib/Order/Filter/Ultrafilter.lean | Ultrafilter.exists_ultrafilter_of_finite_inter_nonempty | [] | [
401,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Ioo_inter_Ioc_of_right_lt | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.196902\ninst✝¹ : LinearOrder α\ninst✝ : LinearOrder β\nf : α → β\na a₁ a₂ b b₁ b₂ c d : α\nh : b₂ < b₁\n⊢ Ioo a₁ b₁ ∩ Ioc a₂ b₂ = Ioc (max a₁ a₂) b₂",
"tactic": "rw [inter_comm, Ioc_inter_Ioo_of_left_lt h, max_comm]"
}
] | [
1811,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1810,
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.total_zero_apply | [
{
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Mathlib/Topology/MetricSpace/Isometry.lean | IsometryEquiv.image_emetric_closedBall | [
{
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"tactic": "rw [← h... | [
499,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
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Mathlib/Data/List/Destutter.lean | List.destutter_nil | [] | [
126,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
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Mathlib/Algebra/Hom/Equiv/Basic.lean | MulEquiv.symm_apply_apply | [] | [
355,
31
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354,
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Equiv.realize_term | [] | [
242,
23
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240,
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Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_lt_tsub_iff_right | [] | [
474,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
473,
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Mathlib/Combinatorics/SimpleGraph/Density.lean | Rel.interedges_mono | [
{
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Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.IndepSets.iInter | [
{
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"state_before": "Ω : Type u_1\nι : Type u_2\n... | [
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86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
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Mathlib/Data/PNat/Prime.lean | PNat.one_gcd | [
{
"state_after": "n : ℕ+\n⊢ 1 ∣ n",
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"tactic": "rw [← gcd_eq_left_iff_dvd]"
},
{
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"state_before": "n : ℕ+\n⊢ 1 ∣ n",
"tactic": "apply one_dvd"
}
] | [
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230,
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Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.IsEquivalence.fun_inv_map | [
{
"state_after": "C : Type u₁\ninst✝² : Category C\nD : Type u₂\ninst✝¹ : Category D\nF : C ⥤ D\ninst✝ : IsEquivalence F\nX Y : D\nf : X ⟶ Y\n⊢ F.map ((Functor.inv F).map f) = ((asEquivalence F).inverse ⋙ (asEquivalence F).functor).map f",
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602,
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Mathlib/Data/FinEnum.lean | FinEnum.nodup_toList | [
{
"state_after": "α : Type u\nβ : α → Type v\ninst✝ : FinEnum α\n⊢ List.Nodup (List.map (↑Equiv.symm) (List.finRange (card α)))",
"state_before": "α : Type u\nβ : α → Type v\ninst✝ : FinEnum α\n⊢ List.Nodup (toList α)",
"tactic": "simp [toList]"
},
{
"state_after": "no goals",
"state_before"... | [
82,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Algebra/Hom/NonUnitalAlg.lean | NonUnitalAlgHom.coe_comp | [] | [
285,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
283,
1
] |
Mathlib/MeasureTheory/Measure/AEMeasurable.lean | aemeasurable_smul_measure_iff | [] | [
293,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.roots_list_prod | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np q : R[X]\nL : List R[X]\nhd : R[X]\ntl : List R[X]\nih : ¬0 ∈ tl → roots (List.prod tl) = Multiset.bind (↑tl) roots\nH : ¬0 = hd ∧ ¬0 ∈ tl\n⊢ roots (List.prod (hd :: tl)) = Multiset.bind (↑(hd :: tl)... | [
691,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
686,
1
] |
Mathlib/Data/Polynomial/Degree/TrailingDegree.lean | Polynomial.trailingDegree_eq_iff_natTrailingDegree_eq_of_pos | [
{
"state_after": "case mp\nR : Type u\nS : Type v\na b : R\nn✝ m : ℕ\ninst✝ : Semiring R\np✝ q r p : R[X]\nn : ℕ\nhn : 0 < n\n⊢ trailingDegree p = ↑n → natTrailingDegree p = n\n\ncase mpr\nR : Type u\nS : Type v\na b : R\nn✝ m : ℕ\ninst✝ : Semiring R\np✝ q r p : R[X]\nn : ℕ\nhn : 0 < n\n⊢ natTrailingDegree p = ... | [
133,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.div_zero_subset | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.652865\nα : Type u_1\nβ : Type ?u.652871\nγ : Type ?u.652874\ninst✝² : DecidableEq α\ninst✝¹ : DecidableEq β\ninst✝ : GroupWithZero α\ns✝ t s : Finset α\n⊢ s / 0 ⊆ 0",
"tactic": "simp [subset_iff, mem_div]"
}
] | [
1189,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1189,
1
] |
Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.coe_sub | [] | [
486,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
485,
1
] |
Mathlib/Combinatorics/SimpleGraph/Regularity/Equitabilise.lean | Finpartition.equitabilise_aux | [
{
"state_after": "case inl\nα : Type u_1\ninst✝ : DecidableEq α\ns t : Finset α\nn a b : ℕ\nP : Finpartition s\nhs : a * 0 + b * (0 + 1) = card s\n⊢ ∃ Q,\n (∀ (x : Finset α), x ∈ Q.parts → card x = 0 ∨ card x = 0 + 1) ∧\n (∀ (x : Finset α), x ∈ P.parts → card (x \\ Finset.biUnion (filter (fun y => y ⊆ x... | [
140,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
45,
1
] |
Mathlib/Data/Complex/Exponential.lean | Real.add_one_lt_exp_of_neg | [
{
"state_after": "x : ℝ\nh : x < 0\nh1 : 0 < -x\n⊢ x + 1 < exp x",
"state_before": "x : ℝ\nh : x < 0\n⊢ x + 1 < exp x",
"tactic": "have h1 : 0 < -x := by linarith"
},
{
"state_after": "no goals",
"state_before": "x : ℝ\nh : x < 0\nh1 : 0 < -x\n⊢ x + 1 < exp x",
"tactic": "simpa [add_comm... | [
1978,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1976,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.image.isoStrongEpiMono_hom_comp_ι | [
{
"state_after": "C : Type u\ninst✝³ : Category C\ninst✝² : HasStrongEpiMonoFactorisations C\nX Y : C\nf : X ⟶ Y\nI' : C\ne : X ⟶ I'\nm : I' ⟶ Y\ncomm : e ≫ m = f\ninst✝¹ : StrongEpi e\ninst✝ : Mono m\n⊢ IsImage.lift (StrongEpiMonoFactorisation.toMonoIsImage (StrongEpiMonoFactorisation.mk (MonoFactorisation.mk ... | [
1032,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1029,
1
] |
Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupNorm.coe_le_coe | [] | [
796,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
795,
1
] |
Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.map_map | [] | [
272,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergence.lean | TendstoUniformly.prod_map | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝¹ : UniformSpace β\nF : ι → α → β\nf : α → β\ns s' : Set α\nx : α\np : Filter ι\np'✝ : Filter α\ng : ι → α\nι' : Type u_1\nα' : Type u_2\nβ' : Type u_3\ninst✝ : UniformSpace β'\nF' : ι' → α' → β'\nf' : α' → β'\np' : Filter ι'\nh : TendstoUni... | [
298,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
1
] |
Mathlib/Order/WithBot.lean | WithBot.coe_unbot | [
{
"state_after": "case none\nα : Type u_1\nβ : Type ?u.7014\nγ : Type ?u.7017\nδ : Type ?u.7020\na b : α\nh : none ≠ ⊥\n⊢ ↑(unbot none h) = none\n\ncase some\nα : Type u_1\nβ : Type ?u.7014\nγ : Type ?u.7017\nδ : Type ?u.7020\na b val✝ : α\nh : Option.some val✝ ≠ ⊥\n⊢ ↑(unbot (Option.some val✝) h) = Option.some... | [
182,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
1
] |
Mathlib/RingTheory/FiniteType.lean | RingHom.FiniteType.id | [] | [
215,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
214,
1
] |
Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.integrable_const_iff | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.832965\nδ : Type ?u.832968\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝² : MeasurableSpace δ\ninst✝¹ : NormedAddCommGroup β\ninst✝ : NormedAddCommGroup γ\nc : β\nthis : AEStronglyMeasurable (fun x => c) μ\n⊢ (Integrable fun x => c) ↔ c = 0 ∨ ↑↑μ univ <... | [
495,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
1
] |
Mathlib/Analysis/Calculus/Deriv/ZPow.lean | differentiableAt_zpow | [] | [
79,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Data/Num/Lemmas.lean | Num.add_to_nat | [] | [
313,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
] |
Mathlib/Data/Set/Finite.lean | Set.toFinite | [] | [
86,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
1
] |
Mathlib/Data/Set/Pairwise/Basic.lean | Set.pairwise_iff_exists_forall | [
{
"state_after": "case inl\nα : Type u_2\nβ : Type ?u.6322\nγ : Type ?u.6325\nι : Type u_1\nι' : Type ?u.6331\nr✝ p q : α → α → Prop\nf✝ g : ι → α\ns t u : Set α\na b : α\ninst✝¹ : Nonempty ι\nf : α → ι\nr : ι → ι → Prop\ninst✝ : IsEquiv ι r\n⊢ Set.Pairwise ∅ (r on f) ↔ ∃ z, ∀ (x : α), x ∈ ∅ → r (f x) z\n\ncase... | [
128,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/Topology/Instances/AddCircle.lean | AddCircle.coe_period | [] | [
190,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ring.isField_iff_isSimpleOrder_ideal | [
{
"state_after": "case inl\nα : Type u\nβ : Type v\nR : Type u_1\ninst✝ : CommSemiring R\nh✝ : Subsingleton R\n⊢ IsField R ↔ IsSimpleOrder (Ideal R)\n\ncase inr\nα : Type u\nβ : Type v\nR : Type u_1\ninst✝ : CommSemiring R\nh✝ : Nontrivial R\n⊢ IsField R ↔ IsSimpleOrder (Ideal R)",
"state_before": "α : Type... | [
790,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
781,
1
] |
Mathlib/CategoryTheory/Generator.lean | CategoryTheory.isCoseparating_iff_mono | [
{
"state_after": "case refine'_1\nC : Type u₁\ninst✝² : Category C\nD : Type u₂\ninst✝¹ : Category D\n𝒢 : Set C\ninst✝ : ∀ (A : C), HasProduct fun f => ↑f.fst\nh : IsCoseparating 𝒢\nA Z✝ : C\nu v : Z✝ ⟶ A\nhuv : u ≫ Pi.lift Sigma.snd = v ≫ Pi.lift Sigma.snd\nG : C\nhG : G ∈ 𝒢\nf : A ⟶ G\n⊢ u ≫ f = v ≫ f\n\nc... | [
277,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
] |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | SeminormFamily.finset_sup_comp | [
{
"state_after": "case h\n𝕜 : Type u_4\n𝕜₂ : Type u_1\n𝕝 : Type ?u.705364\n𝕝₂ : Type ?u.705367\nE : Type u_5\nF : Type u_2\nG : Type ?u.705376\nι : Type u_3\nι' : Type ?u.705382\ninst✝⁶ : NormedField 𝕜\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : NormedField 𝕜₂\ninst✝² : AddCommGroup F\ninst✝¹... | [
730,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
726,
1
] |
Std/Data/Option/Lemmas.lean | Option.elim_some | [] | [
195,
79
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
195,
1
] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.ofFiberEquiv_map | [] | [
782,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
780,
1
] |
Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.tendsto_Lp_iff_tendsto_ℒp | [
{
"state_after": "α : Type u_2\nE : Type u_3\nF : Type ?u.8125054\nG : Type ?u.8125057\nm m0 : MeasurableSpace α\np : ℝ≥0∞\nq : ℝ\nμ ν : Measure α\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedAddCommGroup G\nι : Type u_1\nfi : Filter ι\ninst✝ : Fact (1 ≤ p)\nf : ι → { x // x ∈ L... | [
1252,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1243,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.measure_iUnion_fintype_le | [
{
"state_after": "case h.e'_3.h.e'_3.h.e'_3.h\nα : Type u_2\nβ : Type u_1\nγ : Type ?u.19449\nδ : Type ?u.19452\nι : Type ?u.19455\ninst✝¹ : MeasurableSpace α\nμ μ₁ μ₂ : Measure α\ns s₁ s₂ t : Set α\ninst✝ : Fintype β\nf : β → Set α\nx✝ : β\n⊢ f x✝ = ⋃ (_ : x✝ ∈ Finset.univ), f x✝",
"state_before": "α : Typ... | [
255,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
253,
1
] |
Mathlib/Order/Hom/CompleteLattice.lean | sSupHom.dual_id | [] | [
801,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
800,
1
] |
Mathlib/Analysis/Calculus/Dslope.lean | ContinuousAt.of_dslope | [] | [
102,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
101,
1
] |
Mathlib/RingTheory/IntegralClosure.lean | isIntegral_of_pow | [
{
"state_after": "case intro.intro\nR : Type u_1\nA : Type u_2\nB : Type ?u.664590\nS : Type ?u.664593\ninst✝⁵ : CommRing R\ninst✝⁴ : CommRing A\ninst✝³ : CommRing B\ninst✝² : CommRing S\ninst✝¹ : Algebra R A\ninst✝ : Algebra R B\nf : R →+* S\nx : A\nn : ℕ\nhn : 0 < n\np : R[X]\nhmonic : Monic p\nheval : eval₂ ... | [
543,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
538,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.continuous_eval | [] | [
332,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
1
] |
Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.MutuallySingular.smul_left | [] | [
1243,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1241,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.piecewise_insert | [
{
"state_after": "α : Type u_1\nβ : Type ?u.298194\nγ : Type ?u.298197\nδ : α → Sort u_2\ns : Finset α\nf g : (i : α) → δ i\ninst✝² : (j : α) → Decidable (j ∈ s)\ninst✝¹ : DecidableEq α\nj : α\ninst✝ : (i : α) → Decidable (i ∈ insert j s)\n⊢ Set.piecewise (↑(insert j s)) f g = Set.piecewise (insert j ↑s) f g",
... | [
2489,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2484,
1
] |
Mathlib/RingTheory/Ideal/Over.lean | Ideal.IsIntegralClosure.comap_lt_comap | [] | [
316,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
313,
1
] |
Mathlib/Data/Finset/Functor.lean | Finset.seqLeft_def | [] | [
85,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
84,
1
] |
Mathlib/Data/Real/CauSeqCompletion.lean | CauSeq.Completion.mk_neg | [] | [
95,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Order/Heyting/Basic.lean | bot_sdiff | [] | [
606,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.radius_eq_top_of_forall_image_add_eq_zero | [] | [
182,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
1
] |
Std/Data/List/Lemmas.lean | List.insert_of_mem | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : DecidableEq α\na : α\nl : List α\nh : a ∈ l\n⊢ List.insert a l = l",
"tactic": "simp only [List.insert, if_pos h]"
}
] | [
893,
36
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
892,
9
] |
Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_zero | [
{
"state_after": "case a.h\nl : Type ?u.135132\nm : Type u_1\nn : Type u_2\no : Type u_3\np : Type ?u.135144\nq : Type ?u.135147\nm' : o → Type ?u.135152\nn' : o → Type ?u.135157\np' : o → Type ?u.135162\nR : Type ?u.135165\nS : Type ?u.135168\nα : Type u_4\nβ : Type ?u.135174\ninst✝² : DecidableEq o\ninst✝¹ : ... | [
401,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
399,
1
] |
Mathlib/LinearAlgebra/Matrix/Reindex.lean | Matrix.reindexAlgEquiv_apply | [] | [
137,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.dist_map_zero_translationNumber_le | [] | [
689,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
686,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.iUnion₂_div | [] | [
771,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
769,
1
] |
Mathlib/Analysis/NormedSpace/lpSpace.lean | Memℓp.star_mem | [
{
"state_after": "case inl\nα : Type u_1\nE : α → Type u_2\nq : ℝ≥0∞\ninst✝² : (i : α) → NormedAddCommGroup (E i)\ninst✝¹ : (i : α) → StarAddMonoid (E i)\ninst✝ : ∀ (i : α), NormedStarGroup (E i)\nf : (i : α) → E i\nhf : Memℓp f 0\n⊢ Memℓp (star f) 0\n\ncase inr.inl\nα : Type u_1\nE : α → Type u_2\nq : ℝ≥0∞\nin... | [
733,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
726,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Bounded.of_gt | [] | [
987,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
984,
1
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_zero | [] | [
107,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.sub_le_sub_right | [] | [
111,
51
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
109,
11
] |
Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.coeFn_mk | [] | [
187,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
] |
Mathlib/Topology/Basic.lean | Disjoint.closure_right | [] | [
438,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
436,
1
] |
Mathlib/LinearAlgebra/Finrank.lean | linearIndependent_iff_card_eq_finrank_span | [
{
"state_after": "case mp\nK : Type u\nV : Type v\ninst✝³ : DivisionRing K\ninst✝² : AddCommGroup V\ninst✝¹ : Module K V\nι : Type u_1\ninst✝ : Fintype ι\nb : ι → V\n⊢ LinearIndependent K b → Fintype.card ι = Set.finrank K (Set.range b)\n\ncase mpr\nK : Type u\nV : Type v\ninst✝³ : DivisionRing K\ninst✝² : AddC... | [
445,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
423,
1
] |
Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.supported_univ | [] | [
278,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
] |
Mathlib/LinearAlgebra/Basic.lean | LinearMap.ker_id | [] | [
1329,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1328,
1
] |
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