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Mathlib/LinearAlgebra/Dimension.lean | linearIndependent_le_span | [
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Cardinal.IsStrongLimit.isLimit | [] | [
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Mathlib/Analysis/NormedSpace/Multilinear.lean | MultilinearMap.mkContinuousMultilinear_norm_le | [] | [
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Mathlib/Analysis/Calculus/FDeriv/Basic.lean | hasFDerivWithinAt_singleton | [
{
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Mathlib/NumberTheory/Liouville/LiouvilleNumber.lean | LiouvilleNumber.remainder_lt | [] | [
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.continuousWithinAt_lift | [] | [
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Mathlib/Analysis/NormedSpace/Star/Multiplier.lean | DoubleCentralizer.coe_snd | [] | [
506,
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Mathlib/Order/Directed.lean | IsMin.isBot | [] | [
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20
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Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.map_le_of_mem_box | [] | [
170,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.support_indicator | [] | [
272,
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Mathlib/Order/WithBot.lean | WithTop.le_coe_iff | [] | [
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Mathlib/Algebra/Order/Positive/Ring.lean | Positive.coe_add | [] | [
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Mathlib/Order/SymmDiff.lean | symmDiff_right_inj | [] | [
542,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.zero_apply | [] | [
183,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
182,
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | HasFDerivAt.mul' | [] | [
312,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
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Mathlib/Algebra/Order/Field/Basic.lean | div_le_iff_of_neg' | [
{
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"tactic": "rw [mul_comm, div_le_iff_of_neg hc]"
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] | [
725,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.colimit_sound' | [
{
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.trim_trim | [
{
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Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.IsEquivalent.congr_left | [] | [
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Mathlib/Topology/MetricSpace/Baire.lean | dense_sInter_of_open | [
{
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Mathlib/Probability/ProbabilityMassFunction/Basic.lean | Pmf.toMeasure_apply_singleton | [
{
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"tactic": "simp [toMeasure_apply_eq_toOuterMeasure_apply _ _ h, toOuterMeasure_apply_singleton... | [
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Mathlib/Analysis/Calculus/FDeriv/Equiv.lean | ContinuousLinearEquiv.uniqueDiffOn_image | [] | [
523,
78
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Mathlib/Topology/Algebra/Module/StrongTopology.lean | ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis | [
{
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Mathlib/Order/UpperLower/Basic.lean | LowerSet.compl_iInf₂ | [
{
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92
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Mathlib/Topology/Separation.lean | Continuous.limUnder_eq | [] | [
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Mathlib/Data/Finset/NAry.lean | Finset.image₂_subset_iff_right | [
{
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Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.IsSFiniteKernel.finset_sum | [
{
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.IsTrail.of_append_right | [
{
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"state_before": "V : Type u\nV' : Type v\nV'' ... | [
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Mathlib/Topology/MetricSpace/Isometry.lean | Isometry.mapsTo_ball | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropOn_mono | [] | [
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59
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Mathlib/Order/SuccPred/IntervalSucc.lean | Antitone.pairwise_disjoint_on_Ioc_succ | [] | [
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45
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Mathlib/Topology/UniformSpace/UniformEmbedding.lean | uniformly_extend_spec | [
{
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snormEssSup_mono_measure | [
{
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Mathlib/Data/Finset/Basic.lean | Finset.union_right_comm | [
{
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"tactic": "simp only [mem_union, or_assoc, @or_comm (x ∈ t)]"
}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Ring/Defs.lean | mul_neg | [] | [
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28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/Pointwise.lean | Finset.coe_singletonOneHom | [] | [
159,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
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Mathlib/NumberTheory/LegendreSymbol/MulCharacter.lean | MulChar.IsQuadratic.pow_odd | [
{
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Mathlib/Data/Finset/Basic.lean | Finset.lt_eq_subset | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.nonnegg_cases_right | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Bicategory/Free.lean | CategoryTheory.FreeBicategory.mk_vcomp | [] | [
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244,
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Mathlib/Analysis/InnerProductSpace/Calculus.lean | contDiffAt_inner | [] | [
68,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
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Mathlib/Topology/Bases.lean | TopologicalSpace.isBasis_countableBasis | [] | [
639,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
637,
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Mathlib/Analysis/Normed/MulAction.lean | nndist_smul₀ | [] | [
119,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Tactic/Sat/FromLRAT.lean | Sat.Literal.reify_neg | [] | [
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77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Filter/Basic.lean | Filter.iInf_eq_generate | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/GaloisConnection.lean | GaloisCoinsertion.u_iSup_of_lu_eq_self | [] | [
825,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
823,
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | ContinuousOn.stronglyMeasurableAtFilter_nhdsWithin | [] | [
608,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
603,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.trim | [
{
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Mathlib/Data/Nat/Digits.lean | Nat.digits_inj_iff | [] | [
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30
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Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_eq_of_forall_row_eq_smul_add_const_aux | [
{
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Mathlib/Data/Matrix/Basic.lean | Matrix.mul_mul_right | [] | [
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17
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1288,
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Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.mem_closure_iff | [] | [
662,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
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Mathlib/Topology/Algebra/InfiniteSum/Order.lean | HasSum.nonpos | [] | [
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132,
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Mathlib/Data/Real/Basic.lean | Real.add_neg_lt_sSup | [] | [
776,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
774,
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Mathlib/Analysis/InnerProductSpace/PiL2.lean | OrthonormalBasis.orthonormal | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nι' : Type ?u.781880\n𝕜 : Type u_2\ninst✝⁹ : IsROrC 𝕜\nE : Type u_3\ninst✝⁸ : NormedAddCommGroup E\ninst✝⁷ : InnerProductSpace 𝕜 E\nE' : Type ?u.781909\ninst✝⁶ : NormedAddCommGroup E'\ninst✝⁵ : InnerProductSpace 𝕜 E'\nF : Type ?u.781927\ninst✝⁴ ... | [
409,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
404,
11
] |
Mathlib/RingTheory/Localization/AsSubring.lean | Localization.mapToFractionRing_apply | [] | [
49,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
46,
1
] |
Mathlib/Data/Nat/Factorial/Basic.lean | Nat.succ_descFactorial_succ | [
{
"state_after": "no goals",
"state_before": "n : ℕ\n⊢ descFactorial (n + 1) (0 + 1) = (n + 1) * descFactorial n 0",
"tactic": "rw [descFactorial_zero, descFactorial_one, mul_one]"
},
{
"state_after": "no goals",
"state_before": "n k : ℕ\n⊢ descFactorial (n + 1) (succ k + 1) = (n + 1) * desc... | [
381,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
376,
1
] |
Mathlib/Topology/OmegaCompletePartialOrder.lean | Scott.isOpen_sUnion | [
{
"state_after": "α : Type u\ninst✝ : OmegaCompletePartialOrder α\ns : Set (Set α)\nhs : ∀ (t : Set α), t ∈ s → Continuous' fun x => x ∈ t\n⊢ Continuous' fun x => x ∈ ⋃₀ s",
"state_before": "α : Type u\ninst✝ : OmegaCompletePartialOrder α\ns : Set (Set α)\nhs : ∀ (t : Set α), t ∈ s → IsOpen α t\n⊢ IsOpen α ... | [
68,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/CategoryTheory/Limits/Opposites.lean | CategoryTheory.Limits.PullbackCone.unop_inr | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝¹ : Category C\nJ : Type u₂\ninst✝ : Category J\nX✝ : Type v₂\nX Y Z : Cᵒᵖ\nf : X ⟶ Z\ng : Y ⟶ Z\nc : PullbackCone f g\n⊢ PushoutCocone.inr (unop c) = (snd c).unop",
"tactic": "aesop_cat"
}
] | [
529,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
528,
1
] |
Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | MeasureTheory.locallyIntegrableOn_of_locallyIntegrable_restrict | [
{
"state_after": "X : Type u_1\nY : Type ?u.122795\nE : Type u_2\nR : Type ?u.122801\ninst✝⁵ : MeasurableSpace X\ninst✝⁴ : TopologicalSpace X\ninst✝³ : MeasurableSpace Y\ninst✝² : TopologicalSpace Y\ninst✝¹ : NormedAddCommGroup E\nf : X → E\nμ : Measure X\ns : Set X\ninst✝ : OpensMeasurableSpace X\nhf : Locally... | [
150,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.chain_adj_support | [] | [
648,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
645,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.coe_add_eq_ite | [
{
"state_after": "case zero\nn : ℕ\nR : Type ?u.34539\ninst✝ : Ring R\na b : ZMod Nat.zero\n⊢ ↑(a + b) = ↑(if ↑Nat.zero ≤ ↑a + ↑b then a + b - ↑Nat.zero else a + b)\n\ncase succ\nn : ℕ\nR : Type ?u.34539\ninst✝ : Ring R\nn✝ : ℕ\na b : ZMod (Nat.succ n✝)\n⊢ ↑(a + b) = ↑(if ↑(Nat.succ n✝) ≤ ↑a + ↑b then a + b - ↑... | [
277,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
] |
Mathlib/CategoryTheory/Idempotents/Karoubi.lean | CategoryTheory.Idempotents.Karoubi.id_eq | [
{
"state_after": "no goals",
"state_before": "C : Type ?u.15232\ninst✝ : Category C\nP : Karoubi C\n⊢ P.p = P.p ≫ P.p ≫ P.p",
"tactic": "repeat' rw [P.idem]"
},
{
"state_after": "no goals",
"state_before": "C : Type ?u.15232\ninst✝ : Category C\nP : Karoubi C\n⊢ P.p = P.p ≫ P.p",
"tactic... | [
128,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Data/Nat/Interval.lean | Nat.card_Iic | [
{
"state_after": "no goals",
"state_before": "a b c : ℕ\n⊢ card (Iic b) = b + 1",
"tactic": "rw [Iic_eq_Icc, card_Icc, bot_eq_zero, tsub_zero]"
}
] | [
117,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/CategoryTheory/PathCategory.lean | CategoryTheory.Prefunctor.mapPath_comp' | [] | [
149,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
1
] |
Mathlib/LinearAlgebra/Matrix/DotProduct.lean | Matrix.dotProduct_eq_zero_iff | [] | [
73,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/GroupTheory/Nilpotent.lean | isNilpotent_of_product_of_sylow_group | [
{
"state_after": "no goals",
"state_before": "G : Type u_1\nhG : Group G\ninst✝ : Fintype G\ne : ((p : { x // x ∈ (Nat.factorization (card G)).support }) → (P : Sylow (↑p) G) → { x // x ∈ ↑P }) ≃* G\n⊢ Group.IsNilpotent G",
"tactic": "classical\n let ps := (Fintype.card G).factorization.support\n have... | [
892,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
883,
1
] |
Mathlib/Topology/Spectral/Hom.lean | IsSpectralMap.continuous | [] | [
53,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
52,
1
] |
Mathlib/Init/Algebra/Order.lean | gt_of_gt_of_ge | [] | [
134,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/Algebra/Order/Module.lean | inv_smul_lt_iff_of_neg | [
{
"state_after": "no goals",
"state_before": "k : Type u_1\nM : Type u_2\nN : Type ?u.96377\ninst✝³ : LinearOrderedField k\ninst✝² : OrderedAddCommGroup M\ninst✝¹ : Module k M\ninst✝ : OrderedSMul k M\na b : M\nc : k\nh : c < 0\n⊢ c⁻¹ • a < b ↔ c • b < a",
"tactic": "rw [← smul_lt_smul_iff_of_neg h, smu... | [
171,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/Topology/Maps.lean | openEmbedding_id | [] | [
610,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
609,
1
] |
Mathlib/Algebra/Lie/Submodule.lean | LieHom.idealRange_eq_lieSpan_range | [] | [
907,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
906,
1
] |
Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.inducedOuterMeasure_caratheodory | [
{
"state_after": "α : Type u_1\nP : Set α → Prop\nm : (s : Set α) → P s → ℝ≥0∞\nP0 : P ∅\nm0 : m ∅ P0 = 0\nPU : ∀ ⦃f : ℕ → Set α⦄, (∀ (i : ℕ), P (f i)) → P (⋃ (i : ℕ), f i)\nmU :\n ∀ ⦃f : ℕ → Set α⦄ (hm : ∀ (i : ℕ), P (f i)),\n Pairwise (Disjoint on f) → m (⋃ (i : ℕ), f i) (_ : P (⋃ (i : ℕ), f i)) = ∑' (i :... | [
1541,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1520,
1
] |
Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.copy_eq | [] | [
159,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.restr_univ | [] | [
726,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
725,
1
] |
Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.stalkToFiberRingHom_germ' | [] | [
548,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
545,
1
] |
Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.map_eq_zero_iff | [
{
"state_after": "case mp\nR : Type u_2\ninst✝⁴ : CommSemiring R\nM : Submonoid R\nS : Type u_1\ninst✝³ : CommSemiring S\ninst✝² : Algebra R S\nP : Type ?u.395998\ninst✝¹ : CommSemiring P\ninst✝ : IsLocalization M S\nr : R\n⊢ ↑(algebraMap R S) r = 0 → ∃ m, ↑m * r = 0\n\ncase mpr\nR : Type u_2\ninst✝⁴ : CommSemi... | [
236,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
1
] |
Mathlib/Logic/Equiv/Set.lean | Equiv.Set.insert_symm_apply_inl | [] | [
290,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | RingHom.liftOfRightInverse_comp_apply | [] | [
2280,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2277,
1
] |
Mathlib/Algebra/Order/Field/Power.lean | Odd.zpow_neg_iff | [
{
"state_after": "case intro\nα : Type u_1\ninst✝ : LinearOrderedField α\na b c d : α\nn k : ℤ\nhk : n = 2 * k + 1\n⊢ a ^ n < 0 ↔ a < 0",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\nhn : Odd n\n⊢ a ^ n < 0 ↔ a < 0",
"tactic": "cases' hn with k hk"
},
{
"state... | [
190,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/Data/Quot.lean | Quotient.out_eq | [] | [
376,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
375,
1
] |
Mathlib/Data/Set/Intervals/Instances.lean | Set.Ico.coe_nonneg | [] | [
212,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_add_min | [
{
"state_after": "case h\nα : Type u_1\ninst✝² : CanonicallyLinearOrderedAddMonoid α\ninst✝¹ : Sub α\ninst✝ : OrderedSub α\na b c d : α\n⊢ min a b ≤ a",
"state_before": "α : Type u_1\ninst✝² : CanonicallyLinearOrderedAddMonoid α\ninst✝¹ : Sub α\ninst✝ : OrderedSub α\na b c d : α\n⊢ a - b + min a b = a",
... | [
512,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
510,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | HasFDerivAtFilter.congr_of_eventuallyEq | [] | [
844,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
842,
1
] |
Mathlib/Data/Set/Function.lean | Set.MapsTo.subset_preimage | [] | [
395,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
393,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.eq_succ_of_ne_zero | [] | [
436,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
435,
1
] |
Mathlib/ModelTheory/Substructures.lean | FirstOrder.Language.Substructure.range_subtype | [
{
"state_after": "case h\nL : Language\nM : Type w\nN : Type ?u.1144938\nP : Type ?u.1144941\ninst✝² : Structure L M\ninst✝¹ : Structure L N\ninst✝ : Structure L P\nS✝ S : Substructure L M\nx : M\n⊢ x ∈ Hom.range (Embedding.toHom (subtype S)) ↔ x ∈ S",
"state_before": "L : Language\nM : Type w\nN : Type ?u.... | [
1016,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1011,
1
] |
Mathlib/Order/BooleanAlgebra.lean | compl_eq_comm | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type ?u.54315\nw x y z : α\ninst✝ : BooleanAlgebra α\n⊢ xᶜ = y ↔ yᶜ = x",
"tactic": "rw [eq_comm, compl_eq_iff_isCompl, eq_compl_iff_isCompl]"
}
] | [
628,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
627,
1
] |
Mathlib/CategoryTheory/Closed/Cartesian.lean | CategoryTheory.CartesianClosed.curry_eq_iff | [] | [
215,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
214,
1
] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.subtypeQuotientEquivQuotientSubtype_symm_mk | [] | [
1503,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1499,
1
] |
Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.coe_neg | [] | [
351,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
1
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.IsNormal.cof_le | [
{
"state_after": "case inl\nα : Type ?u.99458\nr : α → α → Prop\nf : Ordinal → Ordinal\nhf : IsNormal f\n⊢ cof 0 ≤ cof (f 0)\n\ncase inr.inl.intro\nα : Type ?u.99458\nr : α → α → Prop\nf : Ordinal → Ordinal\nhf : IsNormal f\nb : Ordinal\n⊢ cof (succ b) ≤ cof (f (succ b))\n\ncase inr.inr\nα : Type ?u.99458\nr : ... | [
695,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
689,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Basis.lean | AffineBasis.surjective_coord | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nι' : Type ?u.141682\nk : Type u_3\nV : Type u_4\nP : Type u_2\ninst✝⁴ : AddCommGroup V\ninst✝³ : AffineSpace V P\ninst✝² : Ring k\ninst✝¹ : Module k V\nb : AffineBasis ι k P\ns : Finset ι\ni✝ j : ι\ne : ι ≃ ι'\ninst✝ : Nontrivial ι\ni : ι\n⊢ Functi... | [
273,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
] |
Mathlib/Algebra/Support.lean | Function.mulSupport_min | [] | [
180,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
178,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sup_eq_union | [] | [
1311,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1310,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biproduct.hom_ext' | [] | [
472,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
470,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.frequently_const | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.163070\nι : Sort x\nf : Filter α\ninst✝ : NeBot f\np : Prop\nh : p\n⊢ (∃ᶠ (x : α) in f, p) ↔ p",
"tactic": "simpa [h]"
},
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Ty... | [
1336,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1335,
1
] |
Mathlib/Algebra/CharP/Basic.lean | CharP.intCast_eq_intCast | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝¹ : AddGroupWithOne R\np : ℕ\ninst✝ : CharP R p\na b : ℤ\n⊢ ↑a = ↑b ↔ a ≡ b [ZMOD ↑p]",
"tactic": "rw [eq_comm, ← sub_eq_zero, ← Int.cast_sub, CharP.int_cast_eq_zero_iff R p, Int.modEq_iff_dvd]"
}
] | [
146,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
1
] |
Mathlib/Algebra/Order/Archimedean.lean | eq_of_forall_rat_lt_iff_lt | [] | [
298,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
296,
1
] |
Mathlib/CategoryTheory/Endofunctor/Algebra.lean | CategoryTheory.Endofunctor.Algebra.mono_of_mono | [] | [
172,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
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