name string | module string | deps list | allowCompletion bool |
|---|---|---|---|
CategoryTheory.Limits.MonoFactorisation.e | Mathlib.CategoryTheory.Limits.Shapes.Images | [
"CategoryTheory.Limits.MonoFactorisation.I",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.Limits.MonoFactorisation",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.Category"
] | true |
Mathlib.Meta.FunProp.DecompositionResult.failed.elim | Mathlib.Tactic.FunProp.FunctionData | [
"PULift.up",
"Mathlib.Meta.FunProp.DecompositionResult.ctorIdx",
"Mathlib.Meta.FunProp.DecompositionResult.failed",
"Mathlib.Meta.FunProp.DecompositionResult.ctorElim",
"Nat",
"Eq.symm",
"Mathlib.Meta.FunProp.DecompositionResult",
"Eq"
] | false |
List.min_singleton | Init.Data.List.MinMax | [
"List.min",
"Min",
"List.cons",
"List.cons_ne_nil",
"Eq.refl",
"Eq",
"List.nil"
] | true |
Multiset.zero_product | Mathlib.Data.Multiset.Bind | [
"Multiset.instSProd",
"SProd.sprod",
"Multiset",
"Zero.toOfNat0",
"Prod",
"OfNat.ofNat",
"Eq",
"rfl",
"Multiset.instZero"
] | true |
PointedCone.mem_closure | Mathlib.Analysis.Convex.Cone.Closure | [
"IsOrderedRing.toPosMulMono",
"IsOrderedRing.toZeroLEOneClass",
"IsOrderedRing",
"Nonneg.semiring",
"DistribMulAction.toDistribSMul",
"Iff.rfl",
"AddMonoid.toAddZeroClass",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Membership.mem",
"AddZeroClass.toAddZero",
"PartialOrder",
"PointedCone",
... | true |
ChevalleyThm.MvPolynomialC.degBound_casesOn_succ._mutual | Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity | [
"Mathlib.Tactic.Ring.Common.mul_pf_left",
"Eq.mpr",
"_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.MvPolynomialC.degBound_casesOn_succ.match_1",
"PSum.casesOn",
"NonAssocSemiring.toAddCommMonoidWithOne",
"ChevalleyThm.MvPolynomialC.numBound_zero",
"Lean.Omega.Constraint.n... | false |
Continuous.fourier_inversion | Mathlib.Analysis.Fourier.Inversion | [
"InnerProductSpace.toNormedSpace",
"Real",
"Continuous",
"CompleteSpace",
"measureSpaceOfInnerProductSpace",
"NormedSpace",
"Real.instRCLike",
"NormedSpace.toModule",
"MeasureTheory.MeasureSpace.toMeasurableSpace",
"Complex.instNormedField",
"PseudoMetricSpace.toUniformSpace",
"MeasureTheory.I... | true |
Directed.le_sequence | Mathlib.Logic.Encodable.Basic | [
"Directed.rel_sequence",
"Directed",
"Preorder.toLE",
"instOfNatNat",
"LE.le",
"instHAdd",
"HAdd.hAdd",
"Nat",
"Directed.sequence",
"instAddNat",
"Inhabited",
"Encodable.encode",
"OfNat.ofNat",
"Encodable",
"Preorder"
] | true |
List.tailsTR.go.eq_def | Batteries.Data.List.Basic | [
"List.brecOn",
"Eq.mpr",
"List.tailsTR.go",
"List.brecOn.go",
"List.brecOn.eq",
"Array.push",
"congrArg",
"_private.Batteries.Data.List.Basic.0.List.next?.match_1.splitter",
"List.next?.match_1",
"List.tailsTR.go._f",
"id",
"List.rec",
"List.cons",
"Array",
"List",
"Unit",
"PProd",
... | true |
_private.Mathlib.Data.Finsupp.Indicator.0.Finsupp.indicator_indicator._proof_1_2 | Mathlib.Data.Finsupp.Indicator | [
"Finsupp.instFunLike",
"Finsupp.indicator",
"False",
"Lean.Grind.and_eq_of_eq_true_right",
"Finset.mem_of_mem_inter_left",
"Lean.Grind.nestedProof",
"Finsupp.ext",
"eq_false",
"Lean.Grind.iff_eq",
"congrArg",
"HEq.refl",
"Finset",
"Classical.byContradiction",
"_private.Mathlib.Data.Finsupp... | false |
BialgCat.mk | Mathlib.Algebra.Category.BialgCat.Basic | [
"CommRing",
"BialgCat",
"BialgCat.mk",
"CommRing.toCommSemiring",
"Bialgebra",
"Ring.toSemiring",
"Ring"
] | true |
Std.TreeSet.Raw.le_maxD_of_contains | Std.Data.TreeSet.Raw.Lemmas | [
"Std.TreeSet.Raw.contains",
"Std.TreeSet.Raw.WF.out",
"Std.TreeMap.Raw.le_maxKeyD_of_contains",
"Ordering",
"Std.TransCmp",
"Bool.true",
"Std.TreeSet.Raw",
"Unit",
"Bool",
"Ordering.isLE",
"Std.TreeSet.Raw.maxD",
"Std.TreeSet.Raw.inner",
"Eq",
"Std.TreeSet.Raw.WF"
] | true |
Prod.instBornology._proof_1 | Mathlib.Topology.Bornology.Constructions | [
"Filter.coprod_mono",
"Bornology.le_cofinite",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Filter.coprod_cofinite",
"Eq.rec",
"LE.le",
"Bornology.cobounded",
"Filter.cofinite",
"Prod",
"Filter.coprod",
"Eq",
"Bornology",
"Filter",
"Filter.instPartialOrder"
] | false |
AffineSubspace.SOppSide.trans_wSameSide | Mathlib.Analysis.Convex.Side | [
"AffineSubspace.SOppSide.symm",
"AffineSubspace.WOppSide.symm",
"AddCommGroup.toAddCommMonoid",
"LinearOrder",
"IsStrictOrderedRing",
"AddCommGroup.toAddGroup",
"Field.toDivisionRing",
"SemilatticeInf.toPartialOrder",
"AddCommGroup",
"DistribLattice.toLattice",
"AffineSubspace.WSameSide.symm",
... | true |
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Removal.0.Mathlib.Meta.Positivity.evalTriangleRemovalBound.match_4 | Mathlib.Combinatorics.SimpleGraph.Triangle.Removal | [
"Mathlib.Meta.Positivity.Strictness",
"Lean.Expr.const",
"Nat.hasNotBit",
"Lean.Expr.sort",
"Lean.Level",
"List.cons",
"Lean.Literal.natVal",
"Qq.Quoted",
"Lean.Level.zero",
"Mathlib.Meta.Positivity.Strictness.positive",
"Qq.Quoted.unsafeMk",
"Lean.Name.mkStr2",
"Lean.Expr.app",
"_private.... | false |
SupBotHom.dual_comp | Mathlib.Order.Hom.BoundedLattice | [
"OrderDual.instMinOfMax",
"SupBotHom.comp",
"Equiv.instEquivLike",
"Max",
"Equiv",
"Bot",
"SupBotHom",
"SupBotHom.dual",
"InfTopHom.comp",
"InfTopHom",
"OrderDual",
"Eq",
"DFunLike.coe",
"OrderDual.instTopOfBot",
"rfl",
"EquivLike.toFunLike"
] | true |
Nat.mem_divisors_self | Mathlib.NumberTheory.Divisors | [
"Iff.mpr",
"Dvd.dvd",
"Finset",
"Nat.mem_divisors",
"Nat.instMonoid",
"Membership.mem",
"Ne",
"instOfNatNat",
"Nat.divisors",
"And",
"Nat.instDvd",
"Finset.instSetLike",
"Nat",
"And.intro",
"dvd_rfl",
"OfNat.ofNat",
"SetLike.instMembership"
] | true |
UInt16.le_refl._simp_1 | Init.Data.UInt.Lemmas | [
"instLEUInt16",
"LE.le",
"UInt16",
"UInt16.le_refl",
"True",
"eq_true",
"Eq"
] | false |
AlexDisc.recOn | Mathlib.Topology.Order.Category.AlexDisc | [
"AlexDisc.mk",
"AlexDisc.rec",
"AlexDisc",
"TopCat.str",
"AlexandrovDiscrete",
"TopCat.carrier",
"TopCat"
] | false |
CochainComplex.mappingCone.δ_descCochain._proof_2 | Mathlib.Algebra.Homology.HomotopyCategory.MappingCone | [
"Int",
"_private.Mathlib.Algebra.Homology.HomotopyCategory.MappingCone.0.CochainComplex.mappingCone.δ_descCochain._proof_1",
"instHAdd",
"instOfNat",
"HAdd.hAdd",
"Int.instAdd",
"OfNat.ofNat",
"Eq"
] | false |
_private.Mathlib.Data.Fintype.Prod.0.Finset.product_eq_univ._simp_1_1 | Mathlib.Data.Fintype.Prod | [
"Finset.eq_univ_iff_forall",
"Finset.univ",
"Finset",
"Membership.mem",
"Fintype",
"Finset.instSetLike",
"propext",
"Eq",
"SetLike.instMembership"
] | false |
PowerSeries.exp_pow_eq_rescale_exp | Mathlib.RingTheory.PowerSeries.Exp | [
"Eq.mpr",
"RingHom.instRingHomClass",
"MulOne.toOne",
"CommRing",
"Nat.recAux",
"HMul.hMul",
"AddMonoid.toAddSemigroup",
"Monoid.toMulOneClass",
"congrArg",
"CommSemiring.toSemiring",
"pow_succ",
"AddMonoid.toAddZeroClass",
"Rat",
"AddGroupWithOne.toAddMonoidWithOne",
"Algebra",
"Power... | true |
ContinuousMulEquiv.eq_symm_comp | Mathlib.Topology.Algebra.ContinuousMonoidHom | [
"Equiv.eq_symm_comp",
"ContinuousMulEquiv.instEquivLike",
"Mul",
"Function.comp",
"MulEquiv.toEquiv",
"TopologicalSpace",
"Iff",
"ContinuousMulEquiv.symm",
"ContinuousMulEquiv",
"Eq",
"DFunLike.coe",
"EquivLike.toFunLike",
"ContinuousMulEquiv.toMulEquiv"
] | true |
AlgebraicGeometry.Scheme.Cover.Over | Mathlib.AlgebraicGeometry.Cover.Over | [
"CategoryTheory.MorphismProperty",
"AlgebraicGeometry.Scheme",
"AlgebraicGeometry.Scheme.Over",
"AlgebraicGeometry.Scheme.Cover.Over.mk",
"AlgebraicGeometry.Scheme.Cover",
"AlgebraicGeometry.Scheme.IsJointlySurjectivePreserving",
"CategoryTheory.MorphismProperty.IsStableUnderBaseChange",
"CategoryTheo... | true |
QuotientGroup.preimage_image_mk | Mathlib.GroupTheory.Coset.Defs | [
"Set.ext",
"Eq.mpr",
"DivInvMonoid.toInv",
"Subgroup.instSubgroupClass",
"HMul.hMul",
"DivInvOneMonoid.toInvOneClass",
"Iff.of_eq",
"Monoid.toMulOneClass",
"congrArg",
"QuotientGroup.mk",
"_private.Mathlib.GroupTheory.Coset.Defs.0.QuotientGroup.preimage_image_mk._simp_1_3",
"Group",
"Group.t... | true |
ValuativeRel.ValueGroupWithZero.exact | Mathlib.RingTheory.Valuation.ValuativeRel.Basic | [
"HMul.hMul",
"Membership.mem",
"Subtype",
"ValuativeRel.vle",
"Prod.mk",
"MulZeroOneClass.toMulOneClass",
"instDistribOfSemiring",
"instMulZeroOneClassOfSemiring",
"And",
"Distrib.toMul",
"Quotient.exact",
"Semiring",
"ValuativeRel.posSubmonoid",
"ValuativeRel",
"Submonoid.instSetLike",
... | true |
Ordering.swap.eq_3 | Std.Data.DTreeMap.Internal.Model | [
"Ordering.gt",
"Ordering",
"Ordering.swap",
"Ordering.lt",
"Eq.refl",
"Eq"
] | true |
ZFSet.singleton_inj._simp_1 | Mathlib.SetTheory.ZFC.Basic | [
"ZFSet",
"ZFSet.instSingleton",
"propext",
"ZFSet.singleton_inj",
"Singleton.singleton",
"Eq"
] | false |
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