name stringlengths 2 347 | module stringlengths 6 90 | deps listlengths 0 692 | allowCompletion bool 2
classes |
|---|---|---|---|
Polynomial.Monic.degree_le_zero_iff_eq_one | Mathlib.Algebra.Polynomial.Monic | [
"WithBot.instPreorder",
"Eq.mpr",
"Polynomial.instOne",
"Nat.instMulZeroClass",
"WithBot",
"congrArg",
"Polynomial.Monic.natDegree_eq_zero",
"Iff.rfl",
"WithBot.zero",
"Preorder.toLE",
"id",
"instOfNatNat",
"Polynomial.degree",
"LE.le",
"Polynomial",
"Polynomial.Monic",
"Iff",
"Nat... | true |
Ordinal.nfp_mul_eq_opow_omega0 | Mathlib.SetTheory.Ordinal.FixedPoint | [
"Iff.mpr",
"Eq.mpr",
"Ordinal.isNormal_mul_right",
"le_refl",
"False",
"Ordinal.instLinearOrder",
"Preorder.toLT",
"HMul.hMul",
"Ordinal.nfp_le_fp",
"Ordinal.omega0",
"Ordinal.partialOrder",
"MulZeroClass.toMul",
"congrArg",
"instIsBotZeroClass",
"Order.IsNormal.monotone",
"AddMonoid.t... | true |
instFullWitness | Mathlib.CategoryTheory.UnivLE | [
"UnivLE",
"UnivLE.witness",
"_private.Mathlib.CategoryTheory.UnivLE.0.instFullWitness._proof_1",
"CategoryTheory.types",
"CategoryTheory.Functor.Full"
] | true |
_private.Mathlib.Topology.ContinuousMap.CompactlySupported.0.CompactlySupportedContinuousMap.nnrealPart_smul_neg._simp_1_2 | Mathlib.Topology.ContinuousMap.CompactlySupported | [
"HMul.hMul",
"Preorder.toLE",
"AddRightMono",
"Distrib.toAdd",
"LE.le",
"mul_nonneg_of_nonpos_of_nonpos",
"instDistribOfSemiring",
"MulPosMono",
"ExistsAddOfLE",
"AddRightReflectLE",
"Distrib.toMul",
"True",
"eq_true",
"Semiring",
"Zero.toOfNat0",
"OfNat.ofNat",
"Eq",
"Preorder",
... | false |
Lean.Parser.ParserExtension.Entry.category.sizeOf_spec | Lean.Parser.Extension | [
"Lean.Parser.LeadingIdentBehavior._sizeOf_inst",
"Lean.Parser.LeadingIdentBehavior",
"Lean.Parser.ParserExtension.Entry",
"Lean.Parser.ParserExtension.Entry.category",
"instOfNatNat",
"instHAdd",
"HAdd.hAdd",
"Lean.instSizeOfName",
"Nat",
"SizeOf.sizeOf",
"instAddNat",
"Lean.Name",
"Eq.refl"... | true |
Std.Tactic.BVDecide.BVExpr.Cache.Key.w | Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr | [
"Std.Tactic.BVDecide.BVExpr.Cache.Key",
"Nat"
] | true |
CategoryTheory.MorphismProperty.Over.pullbackComp._proof_2 | Mathlib.CategoryTheory.MorphismProperty.OverAdjunction | [
"CategoryTheory.MorphismProperty.IsStableUnderBaseChangeAlong",
"CategoryTheory.Limits.hasPullbackVertPaste",
"CategoryTheory.MorphismProperty",
"CategoryTheory.Category.assoc",
"CategoryTheory.Limits.pullback",
"CategoryTheory.Limits.Cone.π",
"CategoryTheory.Functor",
"CategoryTheory.Comma.right",
... | false |
Set.MapsTo.vadd_set | Mathlib.GroupTheory.GroupAction.Pointwise | [
"Set.vaddSet",
"VAdd",
"id",
"HVAdd.hVAdd",
"Set.MapsTo",
"AddActionHomClass",
"instHVAdd",
"DFunLike.coe",
"Set.MapsTo.vadd_setₛₗ",
"FunLike",
"Set"
] | true |
Codisjoint.map | Mathlib.Order.Hom.BoundedLattice | [
"Eq.mpr",
"Lattice",
"Codisjoint",
"Lattice.toSemilatticeSup",
"congrArg",
"PartialOrder.toPreorder",
"codisjoint_iff",
"Preorder.toLE",
"SemilatticeSup.toMax",
"TopHomClass",
"SupHomClass",
"id",
"OrderTop",
"OrderTop.toTop",
"TopHomClass.map_top",
"Max.max",
"propext",
"Eq.refl",... | true |
NonUnitalStarSubalgebra.map | Mathlib.Algebra.Star.NonUnitalSubalgebra | [
"NonUnitalSubalgebra",
"Monoid.toMulOneClass",
"CommSemiring.toSemiring",
"NonUnitalStarSubalgebra.map._proof_1",
"NonUnitalSubalgebra.map",
"NonUnitalAlgHom.instFunLike_1",
"StarHomClass",
"NonUnitalAlgHom",
"CommSemiring",
"NonUnitalNonAssocSemiring.toAddCommMonoid",
"MulOneClass.toMulOne",
... | true |
PrimeSpectrum.instNonemptyOfNontrivial | Mathlib.RingTheory.Spectrum.Prime.Basic | [
"Nontrivial",
"Iff.mpr",
"inferInstance",
"CommSemiring",
"PrimeSpectrum.nonempty_iff_nontrivial",
"PrimeSpectrum",
"Nonempty"
] | true |
Real.Angle.sign_two_nsmul_eq_neg_sign_iff | Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle | [
"Left.neg_pos_iff._simp_1",
"AddGroup.toSubtractionMonoid",
"Eq.mpr",
"_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle.0.Real.Angle.sign_two_nsmul_eq_neg_sign_iff._simp_1_2",
"Real.partialOrder",
"Real",
"instHSMul",
"instHDiv",
"Real.pi",
"Real.lattice",
"Real.Angle",
"Real.Ang... | true |
List.Perm.eq_reverse_of_sortedLE_of_sortedGE | Mathlib.Data.List.Sort | [
"Iff.mpr",
"List.SortedGE.reverse",
"List.SortedLE",
"PartialOrder.toPreorder",
"PartialOrder",
"List.Perm",
"List",
"List.perm_reverse",
"List.reverse",
"List.SortedGE",
"List.Perm.eq_of_sortedLE",
"Eq"
] | true |
nonempty_linearEquiv_of_lift_rank_eq | Mathlib.LinearAlgebra.Dimension.Free | [
"Eq.mpr",
"Cardinal",
"congrArg",
"Module.Basis.equiv",
"Cardinal.lift",
"Cardinal.mk",
"id",
"Equiv",
"Cardinal.lift_mk_eq",
"AddCommMonoid",
"Module.Free",
"Module.Basis",
"StrongRankCondition",
"RingHomInvPair.ids",
"Nonempty.casesOn",
"Module.Free.exists_basis",
"LinearEquiv",
... | true |
_private.Mathlib.GroupTheory.Perm.Cycle.Type.0.Equiv.Perm.IsThreeCycle.nodup_iff_mem_support._proof_1_316 | Mathlib.GroupTheory.Perm.Cycle.Type | [
"Equiv.instEquivLike",
"Finset",
"Lean.Grind.Nat.lt_eq",
"List.getElem_filter_eq_getElem_getElem_findIdxs._proof_2",
"Equiv",
"Insert.insert",
"instOfNatNat",
"LE.le",
"instLENat",
"instBEqOfDecidableEq",
"List.findIdxNth",
"Finset.instInsert",
"List.cons",
"List.idxOfNth",
"List.findIdx... | false |
Matrix.isSymm_transpose_iff | Mathlib.LinearAlgebra.Matrix.Symmetric | [
"Eq.mpr",
"Matrix.transpose_transpose",
"congrArg",
"Matrix",
"id",
"Matrix.IsSymm.transpose",
"Iff",
"Matrix.transpose",
"Iff.intro",
"Matrix.IsSymm",
"Eq.symm",
"Eq"
] | true |
PointwiseConvergenceCLM.coeLMₛₗ | Mathlib.Topology.Algebra.Module.Spaces.PointwiseConvergenceCLM | [
"PointwiseConvergenceCLM",
"UniformConvergenceCLM.instAddCommGroup",
"DistribMulAction.toDistribSMul",
"AddCommGroup.toAddCommMonoid",
"Finite",
"AddMonoid.toAddZeroClass",
"setOf",
"AddCommGroup.toAddGroup",
"RingHom",
"NormedField.toField",
"AddZeroClass.toAddZero",
"AddCommGroup",
"Set.El... | true |
CategoryTheory.Adjunction.CoreHomEquivUnitCounit.homEquiv_unit._autoParam | Mathlib.CategoryTheory.Adjunction.Basic | [
"Lean.Syntax.node",
"Array.push",
"Lean.Syntax",
"Array.empty",
"Lean.Name.mkStr2",
"Lean.SourceInfo.none",
"Lean.Name.mkStr1",
"Lean.Name.mkStr4",
"Lean.mkAtom"
] | false |
Real.cosPartialEquiv._proof_5 | Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse | [
"Real.instLE",
"Real",
"Real.pi",
"Real.instZero",
"Preorder.toLE",
"Membership.mem",
"Eq.mp",
"id",
"LE.le",
"And",
"Set.Icc",
"Set.mem_Icc._simp_1",
"Zero.toOfNat0",
"OfNat.ofNat",
"Set.instMembership",
"Real.instPreorder",
"Set"
] | false |
AddSubgroup.relIndex_eq_one._simp_1 | Mathlib.GroupTheory.Index | [
"PartialOrder.toPreorder",
"AddSubgroup.instPartialOrder",
"Preorder.toLE",
"instOfNatNat",
"LE.le",
"AddSubgroup.relIndex_eq_one",
"AddSubgroup",
"AddSubgroup.relIndex",
"AddGroup",
"Nat",
"propext",
"OfNat.ofNat",
"Eq"
] | false |
AlgebraicGeometry.Scheme.Hom | Mathlib.AlgebraicGeometry.Scheme | [
"AlgebraicGeometry.Scheme",
"AlgebraicGeometry.Scheme.Hom.mk"
] | true |
AdicCompletion.map_of | Mathlib.RingTheory.AdicCompletion.Functoriality | [
"CommRing",
"Semiring.toModule",
"instSMulOfMul",
"CommSemiring.toSemiring",
"AddCommGroup.toAddCommMonoid",
"AdicCompletion.map",
"LinearMap.instFunLike",
"AddCommGroup",
"AdicCompletion.instAddCommGroup",
"AdicCompletion.instModuleOfIsScalarTower",
"Ideal",
"LinearMap",
"IsScalarTower.left... | true |
Std.DTreeMap.toList_rci | Std.Data.DTreeMap.Slice | [
"Std.Slice.toList",
"Std.DTreeMap.instSliceableRciSlice",
"Std.Rci.mk",
"Std.DTreeMap.toList_rci._auto_1",
"Std.DTreeMap",
"Std.DTreeMap.Internal.toList_rci",
"Ord.mk",
"Std.DTreeMap.Internal.Impl.WF.ordered",
"Ordering",
"Std.DTreeMap.inner",
"Sigma.fst",
"Std.DTreeMap.Internal.Zipper",
"St... | true |
ContMDiff.smul | Mathlib.Geometry.Manifold.Algebra.SMul | [
"instHSMul",
"NormedSpace",
"ContMDiff",
"SMul",
"ContMDiffAt.smul",
"ContMDiffSMul",
"TopologicalSpace",
"ModelWithCorners",
"ENat",
"NontriviallyNormedField",
"HSMul.hSMul",
"NontriviallyNormedField.toNormedField",
"Pi.smul'",
"NormedAddCommGroup.toSeminormedAddCommGroup",
"NormedAddCo... | true |
LinearMap.lift_rank_le_of_surjective | Mathlib.LinearAlgebra.Dimension.Basic | [
"Eq.mpr",
"Submodule",
"RingHomSurjective.ids",
"Cardinal",
"congrArg",
"Submodule.addCommMonoid",
"LinearMap.instFunLike",
"Cardinal.lift",
"Membership.mem",
"LinearMap.range",
"id",
"Subtype",
"Submodule.module",
"LE.le",
"LinearMap",
"AddCommMonoid",
"Cardinal.instLE",
"Submodul... | true |
NumberField.mixedEmbedding.fundamentalCone.integerSetQuotEquivAssociates._proof_3 | Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone | [
"Iff.mpr",
"instHSMul",
"NumberField.mixedEmbedding.fundamentalCone.integerSetToAssociates",
"NumberField.mixedEmbedding.fundamentalCone.integerSetQuotEquivAssociates._proof_1",
"NumberField.instCommRingRingOfIntegers",
"CommSemiring.toSemiring",
"NumberField.mixedEmbedding.fundamentalCone.integerSetQuo... | false |
fwdDiff_aux.fwdDiffₗ_apply | Mathlib.Algebra.Group.ForwardDiff | [
"Pi.addCommMonoid",
"AddCommGroup.toAddCommMonoid",
"LinearMap.instFunLike",
"AddCommGroup",
"fwdDiff",
"Int",
"LinearMap",
"fwdDiff_aux.fwdDiffₗ",
"AddCommMonoid",
"Pi.addCommGroup",
"AddCommGroup.toIntModule",
"Eq.refl",
"RingHom.id",
"Semiring.toNonAssocSemiring",
"Eq",
"DFunLike.co... | true |
_private.Mathlib.Topology.ContinuousOn.0.continuous_prod_of_discrete_left._simp_1_1 | Mathlib.Topology.ContinuousOn | [
"Continuous",
"Set.univ",
"TopologicalSpace",
"propext",
"ContinuousOn",
"continuousOn_univ",
"Eq.symm",
"Eq"
] | false |
ENat.lt_top_of_sum_ne_top | Mathlib.Data.ENat.BigOperators | [
"instCompleteLinearOrderENat",
"instTopENat",
"Finset",
"ENat.sum_lt_top",
"Membership.mem",
"Ne",
"ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
"CompleteLinearOrder.toConditionallyCompleteLinearOrderBot",
"Finset.instSetLike",
"Ne.lt_top",
"ENat",
"LT.lt",
"instOrderTop... | true |
UnitalShelf.act_self_act_eq | Mathlib.Algebra.Quandle | [
"Eq.mpr",
"UnitalShelf.toOne",
"Shelf.self_distrib",
"congrArg",
"UnitalShelf.toShelf",
"UnitalShelf.one_act",
"id",
"UnitalShelf.act_one",
"Shelf.act",
"UnitalShelf",
"One.toOfNat1",
"Eq.refl",
"OfNat.ofNat",
"Eq.symm",
"Eq"
] | true |
IsDedekindDomain.HeightOneSpectrum.instCoeIdeal | Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas | [
"CommRing",
"CommSemiring.toSemiring",
"IsDedekindDomain.HeightOneSpectrum",
"IsDedekindDomain.HeightOneSpectrum.asIdeal",
"Coe.mk",
"Ideal",
"CommRing.toCommSemiring",
"Coe"
] | true |
_private.Mathlib.MeasureTheory.SpecificCodomains.WithLp.0.MeasureTheory.memLp_piLp_iff._simp_1_1 | Mathlib.MeasureTheory.SpecificCodomains.WithLp | [
"MeasureTheory.Measure",
"Pi.topologicalSpace",
"PseudoMetricSpace.toUniformSpace",
"SeminormedAddGroup.toContinuousENorm",
"MeasureTheory.MemLp",
"MeasurableSpace",
"SeminormedAddCommGroup.toSeminormedAddGroup",
"MeasureTheory.memLp_pi_iff",
"SeminormedAddCommGroup.toPseudoMetricSpace",
"Fintype"... | false |
SemiNormedGrp₁.of | Mathlib.Analysis.Normed.Group.SemiNormedGrp | [
"SeminormedAddCommGroup",
"SemiNormedGrp₁",
"SemiNormedGrp₁.of"
] | true |
MvPowerSeries.map._proof_7 | Mathlib.RingTheory.MvPowerSeries.Basic | [
"NonAssocSemiring.toAddCommMonoidWithOne",
"Nat.instMulZeroClass",
"Semiring.toModule",
"AddMonoid.toAddZeroClass",
"LinearMap.instFunLike",
"MvPowerSeries",
"RingHom",
"AddZeroClass.toAddZero",
"Distrib.toAdd",
"AddCommMonoidWithOne.toAddMonoidWithOne",
"MvPowerSeries.instModule",
"LinearMap"... | false |
_private.Mathlib.Combinatorics.SimpleGraph.StronglyRegular.0.SimpleGraph.IsSRGWith.param_eq._simp_1_3 | Mathlib.Combinatorics.SimpleGraph.StronglyRegular | [
"Set.Elem",
"Fintype.card",
"Set.toFinset_card",
"Set.toFinset",
"Fintype",
"Nat",
"Finset.card",
"Eq.symm",
"Eq",
"Set"
] | false |
CompositionAsSet.card_boundaries_pos | Mathlib.Combinatorics.Enumerative.Composition | [
"Iff.mpr",
"CompositionAsSet.boundaries_nonempty",
"CompositionAsSet",
"instOfNatNat",
"CompositionAsSet.boundaries",
"Nat",
"LT.lt",
"Finset.Nonempty",
"Finset.card",
"Finset.card_pos",
"instLTNat",
"OfNat.ofNat",
"Fin",
"Nat.succ"
] | true |
Polynomial.roots_C_mul | Mathlib.Algebra.Polynomial.Roots | [
"Polynomial.C",
"IsDomain",
"False",
"CommRing",
"IsDomain.to_noZeroDivisors",
"Polynomial.roots",
"HMul.hMul",
"eq_false",
"MulZeroClass.toMul",
"congrArg",
"CommSemiring.toSemiring",
"Polynomial.instDecidableEq",
"AddMonoid.toAddZeroClass",
"Multiset.instAddCancelCommMonoid",
"Classica... | true |
SMulWithZero.compHom | Mathlib.Algebra.GroupWithZero.Action.Defs | [
"ZeroHom.funLike",
"instHSMul",
"SMulWithZero.toSMulZeroClass",
"SMul.mk",
"SMulZeroClass.mk",
"ZeroHom",
"SMulWithZero.compHom._proof_2",
"HSMul.hSMul",
"SMulZeroClass.toSMul",
"SMulWithZero",
"SMulWithZero.compHom._proof_1",
"SMulWithZero.mk",
"DFunLike.coe",
"Zero"
] | true |
_private.Mathlib.Analysis.SpecialFunctions.Complex.Log.0.Complex.expOpenPartialHomeomorph._simp_3 | Mathlib.Analysis.SpecialFunctions.Complex.Log | [
"setOf",
"Membership.mem",
"Set.mem_setOf",
"propext",
"Eq",
"Set.instMembership",
"Set"
] | false |
Con.instCompleteLattice._proof_2 | Mathlib.GroupTheory.Congruence.Defs | [
"Con.instInfSet",
"lowerBounds",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Mul",
"Membership.mem",
"upperBounds",
"And",
"And.intro",
"Con",
"Con.instFunLikeForallProp",
"Set.instMembership",
"DFunLike.coe",
"InfSet.sInf",
"Con.instPartialOrder",
"Set"
] | false |
NumberField.InfinitePlace.liesOver_conjugate_embedding_of_mem_ramifiedPlacesOver | Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification | [
"NumberField.InfinitePlace.ramifiedPlacesOver",
"Real.partialOrder",
"Real",
"NumberField.ComplexEmbedding.conjugate",
"Algebra.algebraMap",
"congrArg",
"CommSemiring.toSemiring",
"Complex.instNormedField",
"NumberField.InfinitePlace.comap",
"Algebra",
"RingHom",
"NumberField.InfinitePlace.IsR... | true |
CategoryTheory.StrictPseudofunctor.comp_obj | Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor | [
"CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctor",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.StrictPseudofunctor.comp",
"CategoryTheory.StrictPseudofunctor.toStrictlyUnitaryPseudofunctor",
"CategoryTheory.Pseudofunctor.toPrelaxFunctor",
"CategoryTheory.Bicategor... | true |
IsTopologicalAddGroup.toHSpace._proof_5 | Mathlib.Topology.Homotopy.HSpaces | [
"ContinuousMap.mk",
"ContinuousMap",
"instTopologicalSpaceProd",
"ContinuousMap.comp",
"AddZeroClass.toAddZero",
"Add.add",
"IsTopologicalAddGroup.toHSpace._proof_3",
"TopologicalSpace",
"AddZero.toZero",
"ContinuousMap.id",
"AddZeroClass",
"ContinuousMap.prodMk",
"continuous_add",
"Contin... | false |
Submodule.IsMinimalPrimaryDecomposition.comap_localized₀_eq_ite | Mathlib.RingTheory.Lasker | [
"Eq.mpr",
"Submodule",
"RingHomSurjective.ids",
"CommRing",
"Submodule.colon",
"instHSMul",
"iInf",
"_private.Mathlib.RingTheory.Lasker.0.Submodule.IsMinimalPrimaryDecomposition.comap_localized₀_eq_ite._simp_1_9",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"Semiring.toModule",
"instSMulOfM... | true |
Finmap.keys_singleton | Mathlib.Data.Finmap | [
"Finset",
"Finmap.singleton",
"Finset.instSingleton",
"Singleton.singleton",
"Eq",
"rfl",
"Finmap.keys"
] | true |
Std.TreeMap.mk.injEq | Std.Data.TreeMap.Basic | [
"Std.DTreeMap",
"Eq.propIntro",
"Std.TreeMap.mk",
"Ordering",
"autoParam",
"Std.TreeMap.mk.inj",
"Eq.ndrec",
"Eq.refl",
"Std.TreeMap._auto_1",
"Eq",
"Std.TreeMap"
] | true |
OpenPartialHomeomorph.extend_preimage_mem_nhdsWithin | Mathlib.Geometry.Manifold.IsManifold.ExtChartAt | [
"Filter.instMembership",
"NormedSpace",
"congrArg",
"Filter.map",
"nhdsWithin",
"PseudoMetricSpace.toUniformSpace",
"Membership.mem",
"PartialEquiv.symm",
"OpenPartialHomeomorph.map_extend_symm_nhdsWithin",
"Eq.mp",
"ModelWithCorners.toFun'",
"Set.instInter",
"Inter.inter",
"TopologicalSpa... | true |
_private.Mathlib.Algebra.Order.Archimedean.Basic.0.WithBot.instArchimedean._simp_1 | Mathlib.Algebra.Order.Archimedean.Basic | [
"WithBot.some",
"WithBot",
"instHSMul",
"AddMonoid.toNSMul",
"WithBot.addMonoid",
"Nat",
"AddMonoid",
"WithBot.coe_nsmul",
"HSMul.hSMul",
"Eq.symm",
"Eq"
] | false |
Algebra.TensorProduct.mapOfCompatibleSMul._proof_7 | Mathlib.RingTheory.TensorProduct.Maps | [
"TensorProduct.CompatibleSMul",
"HMul.hMul",
"Algebra.TensorProduct.mapOfCompatibleSMul._proof_5",
"TensorProduct.mapOfCompatibleSMul",
"CommSemiring.toSemiring",
"Algebra.TensorProduct.mapOfCompatibleSMul._proof_3",
"LinearMap.instFunLike",
"Algebra",
"Algebra.toSMul",
"Algebra.toModule",
"Alge... | false |
CategoryTheory.MonoidalCategory.selRightfAction._proof_11 | Mathlib.CategoryTheory.Monoidal.Action.Basic | [
"CategoryTheory.Category.assoc",
"CategoryTheory.Iso.inv_hom_id",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"congrArg",
"CategoryTheory.MonoidalCategoryStruct.rightUnitor",
"CategoryTheory.MonoidalCategory",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.Category.comp_id",
"Cate... | false |
LinearIsometry.map_sub | Mathlib.Analysis.Normed.Operator.LinearIsometry | [
"LinearIsometry",
"SeminormedAddCommGroup",
"AddCommGroup.toAddCommMonoid",
"HSub.hSub",
"LinearIsometry.instFunLike",
"AddCommGroup.toAddGroup",
"RingHom",
"SubNegMonoid.toSub",
"instHSub",
"AddGroup.toSubNegMonoid",
"SeminormedAddCommGroup.toAddCommGroup",
"LinearIsometry.toLinearMap",
"Se... | true |
TwoSidedIdeal.rightModule | Mathlib.RingTheory.TwoSidedIdeal.Operations | [
"Ring.toNonAssocRing",
"TwoSidedIdeal",
"AddCommGroup.toAddCommMonoid",
"MulOpposite",
"TwoSidedIdeal.leftModule._proof_1",
"TwoSidedIdeal.addCommGroup",
"TwoSidedIdeal.instSMulMulOppositeSubtypeMem",
"Membership.mem",
"Subtype",
"NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
"NonAssocRing... | true |
Fintype.linearCombination._proof_3 | Mathlib.LinearAlgebra.Finsupp.LinearCombination | [
"Eq.mpr",
"instHSMul",
"Pi.addCommMonoid",
"Finset.univ",
"congrArg",
"DistribMulAction.toDistribSMul",
"Finset",
"AddMonoid.toAddZeroClass",
"_private.Mathlib.LinearAlgebra.Finsupp.LinearCombination.0.Fintype.linearCombination._simp_1",
"Membership.mem",
"AddZeroClass.toAddZero",
"id",
"Dis... | false |
Homeomorph.toOpenPartialHomeomorphOfImageEq._proof_2 | Mathlib.Topology.OpenPartialHomeomorph.Defs | [
"Equiv.toPartialEquivOfImageEq",
"Continuous.continuousOn",
"Homeomorph.continuous",
"Homeomorph.toEquiv",
"TopologicalSpace",
"Homeomorph.instEquivLike",
"Homeomorph",
"PartialEquiv.source",
"Set.image",
"ContinuousOn",
"Eq",
"DFunLike.coe",
"EquivLike.toFunLike",
"Set"
] | false |
Projectivization.independent_iff_iSupIndep | Mathlib.LinearAlgebra.Projectivization.Independence | [
"Projectivization.mk",
"Iff.mpr",
"Eq.mpr",
"Submodule",
"Projectivization.Independent",
"Projectivization.submodule_eq",
"instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
"iSupIndep",
"congrArg",
"AddCommGroup.toAddCommMonoid",
"HEq.refl",
"Submodule.completeLattice",
"Projectivization.Ind... | true |
_private.Mathlib.Data.Nat.Hyperoperation.0.hyperoperation_ge_two_eq_self._proof_1_2 | Mathlib.Data.Nat.Hyperoperation | [
"Lean.RArray.leaf",
"False",
"eq_false",
"congrArg",
"hyperoperation",
"Classical.byContradiction",
"hyperoperation_ge_three_eq_one",
"Eq.mp",
"id",
"instOfNatNat",
"Nat.Linear.Expr.num",
"Bool.true",
"instHAdd",
"Nat.Linear.Expr.eq_of_toNormPoly_eq",
"HAdd.hAdd",
"Nat",
"congr",
"... | false |
norm_eq_zero._simp_1 | Mathlib.Analysis.Normed.Group.Basic | [
"norm_eq_zero",
"AddGroup.toSubtractionMonoid",
"Norm.norm",
"Real",
"Real.instZero",
"SubtractionMonoid.toSubNegZeroMonoid",
"NormedAddGroup.toAddGroup",
"SubNegZeroMonoid.toNegZeroClass",
"NormedAddGroup.toNorm",
"propext",
"Zero.toOfNat0",
"OfNat.ofNat",
"NegZeroClass.toZero",
"Eq",
"... | false |
MvPolynomial.rTensorAlgEquiv.eq_1 | Mathlib.RingTheory.TensorProduct.MvPolynomial | [
"MvPolynomial.rTensor",
"MvPolynomial.rTensorAlgEquiv._proof_4",
"NonAssocSemiring.toAddCommMonoidWithOne",
"Nat.instMulZeroClass",
"AddMonoidAlgebra.semiring",
"Algebra.to_smulCommClass",
"AddMonoidAlgebra.addAddCommMonoid",
"CommSemiring.toSemiring",
"DistribMulAction.toDistribSMul",
"AddMonoidA... | true |
ContinuousAlternatingMap.instTopologicalSpace | Mathlib.Topology.Algebra.Module.Alternating.Topology | [
"AddCommGroup.toAddCommMonoid",
"AddCommGroup.toAddGroup",
"ContinuousMultilinearMap",
"NormedField.toField",
"inferInstance",
"AddCommGroup",
"Field.toSemifield",
"NormedField",
"TopologicalSpace",
"ContinuousAlternatingMap.toContinuousMultilinearMap",
"Semifield.toDivisionSemiring",
"Topolog... | true |
LeanSearchClient.unicode_turnstile | LeanSearchClient.LoogleSyntax | [
"Lean.Parser.Parser",
"Lean.Parser.nonReservedSymbol",
"Bool.false"
] | true |
DomMulAct.instMulDistribMulActionMonoidHom._proof_2 | Mathlib.GroupTheory.GroupAction.DomAct.Basic | [
"Monoid",
"DomMulAct",
"instHSMul",
"MonoidHom.instFunLike",
"MonoidHom",
"Monoid.toMulOneClass",
"MonoidHom.coeFn",
"DomMulAct.instSMulMonoidHom",
"MulOneClass.toMulOne",
"CommMonoid.toMonoid",
"MonoidHom.instCommMonoid",
"HSMul.hSMul",
"MulDistribMulAction",
"Eq",
"CommMonoid",
"DFun... | false |
Disjoint.of_preimage | Mathlib.Data.Set.Image | [
"Set.preimage_inter",
"Eq.mpr",
"congrArg",
"PartialOrder.toPreorder",
"Preorder.toLE",
"Disjoint",
"SemilatticeInf.toPartialOrder",
"DistribLattice.toLattice",
"id",
"BiheytingAlgebra.toHeytingAlgebra",
"Set.image_preimage_eq",
"BiheytingAlgebra.toCoheytingAlgebra",
"Set.instInter",
"Set.... | true |
CommRingCat.coyonedaUnique_inv_app_hom_apply | Mathlib.Algebra.Category.Ring.Adjunctions | [
"CategoryTheory.Functor",
"CommRingCat.coyoneda",
"CommRingCat.Hom.hom",
"Opposite",
"CommRingCat.carrier",
"CommSemiring.toSemiring",
"CommRingCat",
"Unique",
"CategoryTheory.Functor.category",
"Pi.commRing",
"RingHom",
"CategoryTheory.Functor.id",
"CommRingCat.instCategory",
"CommRingCat... | true |
Int.emod_eq_zero_of_dvd | Init.Data.Int.DivMod.Bootstrap | [
"Dvd.dvd",
"_private.Init.Data.Int.DivMod.Bootstrap.0.Int.emod_eq_zero_of_dvd.match_1_1",
"instHMod",
"Int",
"Int.instDvd",
"Int.mul_emod_right",
"HMod.hMod",
"instOfNat",
"Int.instMod",
"OfNat.ofNat",
"Eq"
] | true |
Lean.Meta.SynthInstance.TableEntry.mk.injEq | Lean.Meta.SynthInstance | [
"Lean.Meta.SynthInstance.Answer",
"Eq.propIntro",
"Lean.Meta.SynthInstance.Waiter",
"Lean.injEq_helper",
"Array",
"And",
"Lean.Meta.SynthInstance.TableEntry.mk.inj",
"Lean.Meta.SynthInstance.TableEntry",
"Lean.Meta.SynthInstance.TableEntry.mk",
"Eq.ndrec",
"Eq.refl",
"Eq"
] | true |
FirstOrder.Language.BoundedFormula.realize_iAlls._simp_1 | Mathlib.ModelTheory.Semantics | [
"FirstOrder.Language.Formula.iAlls",
"Finite",
"Sum",
"FirstOrder.Language.BoundedFormula.Realize",
"instOfNatNat",
"FirstOrder.Language.BoundedFormula.realize_iAlls",
"FirstOrder.Language.Structure",
"Nat",
"FirstOrder.Language.Formula",
"propext",
"FirstOrder.Language",
"OfNat.ofNat",
"Fin... | false |
_private.Mathlib.Data.Nat.Digits.Defs.0.Nat.digitsAux0.match_1.eq_1 | Mathlib.Data.Nat.Digits.Defs | [
"Unit.unit",
"instOfNatNat",
"Unit",
"Nat",
"Nat.digitsAux0.match_1",
"Eq.refl",
"OfNat.ofNat",
"Nat.succ",
"Eq"
] | true |
SemimoduleCat.coe_of | Mathlib.Algebra.Category.ModuleCat.Semi | [
"SemimoduleCat.carrier",
"NonUnitalNonAssocSemiring.toAddCommMonoid",
"NonAssocSemiring.toNonUnitalNonAssocSemiring",
"SemimoduleCat.of",
"Semiring",
"Module",
"Semiring.toNonAssocSemiring",
"Eq",
"rfl"
] | true |
Localization.lt._proof_2 | Mathlib.GroupTheory.MonoidLocalization.Order | [
"Preorder.toLT",
"Submonoid.mul",
"HMul.hMul",
"Localization.r",
"Monoid.toMulOneClass",
"Prod.instMul",
"PartialOrder.toPreorder",
"Localization.lt._proof_1",
"Membership.mem",
"PartialOrder",
"MulOne.toMul",
"Subtype",
"Prod.mk",
"MulOneClass.toMulOne",
"CommMonoid.toMonoid",
"LT.lt"... | false |
vsub_left_injective | Mathlib.Algebra.AddTorsor.Basic | [
"AddTorsor.toVSub",
"VSub.vsub",
"AddGroup",
"AddTorsor",
"Function.Injective",
"vsub_left_cancel"
] | true |
CategoryTheory.Limits.Types.Image.ι | Mathlib.CategoryTheory.Limits.Types.Images | [
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.ConcreteCategory.hom",
"TypeCat.instFunLikeFun",
"Membership.mem",
"TypeCat.ofHom",
"CategoryTheory.Limits.Types.Image",
"TypeCat.Fun",
"CategoryTheory.types",
"CategoryTheory.Category.toCategoryStruct",
"Set.range",
"Subt... | true |
WeierstrassCurve.natDegree_Ψ₂Sq_le | Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree | [
"Eq.mpr",
"Polynomial.C",
"le_refl",
"Nat.instLattice",
"Mathlib.Meta.NormNum.isNat_add",
"CommRing",
"Lattice.toSemilatticeSup",
"HMul.hMul",
"AddMonoid.toAddSemigroup",
"congrArg",
"CommSemiring.toSemiring",
"AddGroupWithOne.toAddMonoidWithOne",
"WeierstrassCurve.Ψ₂Sq",
"Preorder.toLE",
... | true |
Prod.seminormedRing._proof_14 | Mathlib.Analysis.Normed.Ring.Basic | [
"AddMonoid.toZero",
"NonUnitalNonAssocRing.toAddCommGroup",
"AddCommGroup.toAddGroup",
"NonUnitalRing.toNonUnitalNonAssocRing",
"Int",
"SubNegMonoid.zsmul",
"AddGroup.toSubNegMonoid",
"instOfNat",
"Prod.nonUnitalSeminormedRing",
"Zero.toOfNat0",
"SubNegMonoid.zsmul_zero'",
"SubNegMonoid.toAddM... | false |
Complex.log_mul_ofReal | Mathlib.Analysis.SpecialFunctions.Complex.Log | [
"NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
"Eq.mpr",
"Complex.log",
"Real",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"HMul.hMul",
"Real.instZero",
"congrArg",
"Complex.instNormedField",
"Complex.instZero",
"Real.instLT",
"Complex.log_ofReal_mul",
"Complex.instMul",
... | true |
CategoryTheory.TwoSquare.GuitartExact.quotient_of_nonempty_leftHomotopy | Mathlib.CategoryTheory.GuitartExact.Quotient | [
"CategoryTheory.StructuredArrow.homMk",
"Eq.mpr",
"CategoryTheory.Category.assoc",
"CategoryTheory.Functor",
"Trans.trans",
"CategoryTheory.instTransZigzag",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.NatIso.naturality_1",
"congrArg",
"HomotopicalAlgebra.Precylinder.... | true |
_private.Init.Data.BitVec.Bitblast.0.BitVec.fastUmulOverflow._proof_1_1 | Init.Data.BitVec.Bitblast | [
"instPowNat",
"Nat.lt_of_not_le",
"False",
"Lean.Omega.Constraint.not_sat'_of_isImpossible",
"of_decide_eq_true",
"le_of_le_of_eq",
"Lean.Omega.Constraint.mk",
"Lean.Omega.Constraint.combine_sat'",
"Int.add_one_le_of_lt",
"HSub.hSub",
"Lean.Omega.Int.add_congr",
"Lean.Omega.LinearCombo.eval",
... | false |
Lean.Elab.Do.observingPostpone | Lean.Elab.Do.Basic | [
"Pure.pure",
"Lean.Elab.Do.instMonadBacktrackSavedStateDoElabM",
"Lean.MessageData",
"Lean.MonadError.mk",
"Lean.instMonadExceptOfExceptionCoreM",
"Lean.Elab.Term.instMonadMacroAdapterTermElabM",
"instMonadExceptOfMonadExceptOf",
"Lean.Elab.Term.instMonadTermElabM",
"Lean.MonadError.toMonadExceptOf"... | true |
CategoryTheory.Limits.HasImageMaps.has_image_map | Mathlib.CategoryTheory.Limits.Shapes.Images | [
"CategoryTheory.Limits.HasImages.has_image",
"Quiver.Hom",
"CategoryTheory.Limits.HasImages",
"CategoryTheory.Limits.HasImageMaps",
"CategoryTheory.Arrow.left",
"CategoryTheory.Arrow.hom",
"CategoryTheory.Limits.HasImageMap",
"CategoryTheory.Arrow",
"CategoryTheory.instQuiverArrow",
"CategoryTheor... | true |
IncidenceAlgebra.coe_add._simp_1 | Mathlib.Combinatorics.Enumerative.IncidenceAlgebra | [
"IncidenceAlgebra.instAdd",
"AddZeroClass.toAddZero",
"IncidenceAlgebra.coe_add",
"LE",
"AddZero.toZero",
"instHAdd",
"AddZeroClass",
"Pi.instAdd",
"HAdd.hAdd",
"IncidenceAlgebra.instFunLike",
"AddZero.toAdd",
"Eq.symm",
"Eq",
"DFunLike.coe",
"IncidenceAlgebra"
] | false |
CategoryTheory.CommGrp.forget_obj | Mathlib.CategoryTheory.Monoidal.CommGrp_ | [
"CategoryTheory.CommGrp.instCategory",
"CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory",
"CategoryTheory.CommGrp.X",
"CategoryTheory.CartesianMonoidalCategory",
"CategoryTheory.CommGrp",
"CategoryTheory.BraidedCategory",
"Eq.refl",
"CategoryTheory.CommGrp.forget",
"Eq",
"CategoryT... | true |
AlgebraicGeometry.Scheme.Hom.resLE_appLE | Mathlib.AlgebraicGeometry.Restrict | [
"AlgebraicGeometry.Scheme.Hom.opensFunctor",
"Eq.mpr",
"CategoryTheory.Category.assoc",
"AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier",
"AlgebraicGeometry.Scheme.homOfLE",
"AlgebraicGeometry.Scheme",
"AlgebraicGeometry.image_morphismRestrict_preimage",
"Opposite",
"AlgebraicGeom... | true |
Lean.NamePart.num.noConfusion | Lean.Data.NameTrie | [
"Lean.NamePart.noConfusion",
"id",
"Lean.NamePart",
"Nat",
"Lean.NamePart.num",
"Eq"
] | false |
CategoryTheory.Sieve.pushforward_monotone | Mathlib.CategoryTheory.Sites.Sieves | [
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"CategoryTheory.Sieve.pushforward",
"PartialOrder.toPreorder",
"Monotone",
"CategoryTheory.Sieve",
"CompleteLattice.toCompleteSemilatticeInf",
"CompleteSemilatticeInf.toPartialOrder",
"CategoryTheory.Sieve.galoisConnection",
"CategoryTheory.S... | true |
CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.DiagramWithUniqueTerminal.mk.congr_simp | Mathlib.CategoryTheory.Presentable.Directed | [
"CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.Diagram",
"CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.DiagramWithUniqueTerminal.mk",
"Cardinal",
"Eq.rec",
"CategoryTheory.SmallCategory",
"CategoryTheory.IsCardinalFiltered.exists_cardinal_directed.DiagramWithUniqueTerminal",
"... | true |
QuotientGroup.Quotient.group._proof_8 | Mathlib.GroupTheory.QuotientGroup.Defs | [
"Con.mk",
"MulOne.toOne",
"Con.mul",
"Mul.mk",
"Semigroup.toMul",
"DivInvMonoid.toInv",
"instHDiv",
"One.mk",
"HMul.hMul",
"Con.div",
"Con.inv",
"Monoid.toMulOneClass",
"QuotientGroup.Quotient.group._proof_7",
"QuotientGroup.Quotient.group._proof_6",
"Semigroup.mk",
"Group",
"Quotien... | false |
Group.exponent_dvd_iff_forall_zpow_eq_one | Mathlib.GroupTheory.Exponent | [
"_private.Mathlib.GroupTheory.Exponent.0.Group.exponent_dvd_iff_forall_zpow_eq_one._simp_1_2",
"_private.Mathlib.GroupTheory.Exponent.0.Group.exponent_dvd_iff_forall_zpow_eq_one._simp_1_3",
"Eq.mpr",
"MulOne.toOne",
"Dvd.dvd",
"InvOneClass.toOne",
"DivInvOneMonoid.toInvOneClass",
"Monoid.toMulOneClass... | true |
affineCombination_mem_affineSpan | Mathlib.LinearAlgebra.AffineSpace.Combination | [
"Nontrivial",
"Finset.affineCombination_vsub",
"Set.mem_range_self",
"Eq.mpr",
"Pi.Function.module",
"Submodule",
"direction_affineSpan",
"NeZero.one",
"Semiring.toModule",
"AffineMap.instFunLike",
"Pi.addCommMonoid",
"Function.update",
"vectorSpan",
"AddMonoid.toAddSemigroup",
"Ring.toN... | true |
le_gauge_of_subset_closedBall | Mathlib.Analysis.Convex.Gauge | [
"Norm.norm",
"Eq.mpr",
"Real.instLE",
"Real",
"instHDiv",
"gauge",
"PseudoMetricSpace.toBornology",
"NormedSpace",
"Real.instZero",
"congrArg",
"DistribMulAction.toDistribSMul",
"AddCommGroup.toAddCommMonoid",
"Real.instDivInvMonoid",
"NormedSpace.toModule",
"AddMonoid.toAddZeroClass",
... | true |
CochainComplex.mappingCocone.liftCochain.congr_simp | Mathlib.Algebra.Homology.HomotopyCategory.MappingCocone | [
"CochainComplex.HomComplex.Cochain._proof_1",
"HomologicalComplex.instCategory",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"AddGroupWithOne.toAddMonoidWithOne",
"AddRightCancelSemigroup.toAddSemigroup",
"AddCancelMonoid.toAddRightCancelMonoid",
"CochainComplex.HomComplex.Triplet",
"Eq.... | true |
MonoidAlgebra.comapDomainAddMonoidHom._proof_2 | Mathlib.Algebra.MonoidAlgebra.MapDomain | [
"MonoidAlgebra.addCommMonoid",
"congrArg",
"AddMonoid.toAddZeroClass",
"AddZeroClass.toAddZero",
"AddZero.toZero",
"MonoidAlgebra",
"True",
"MonoidAlgebra.comapDomain_zero",
"eq_self",
"of_eq_true",
"Semiring",
"Zero.toOfNat0",
"MonoidAlgebra.comapDomain",
"congrFun'",
"AddCommMonoid.toA... | false |
_private.Mathlib.Combinatorics.Enumerative.Partition.GenFun.0.Nat.Partition.aux_dvd_of_coeff_ne_zero | Mathlib.Combinatorics.Enumerative.Partition.GenFun | [
"Finsupp.instFunLike",
"PowerSeries.WithPiTopology.continuous_coeff",
"Eq.mpr",
"NonAssocSemiring.toAddCommMonoidWithOne",
"Mathlib.Tactic.Contrapose.contrapose₂",
"Nat.instMulZeroClass",
"instHSMul",
"Dvd.dvd",
"Semiring.toModule",
"instSMulOfMul",
"SemilinearMapClass.toMulActionSemiHomClass",
... | true |
FirstOrder.Field.FieldAxiom.mulAssoc | Mathlib.ModelTheory.Algebra.Field.Basic | [
"FirstOrder.Field.FieldAxiom.mulAssoc",
"FirstOrder.Field.FieldAxiom"
] | true |
convexJoin_singleton_segment | Mathlib.Analysis.Convex.Join | [
"Eq.mpr",
"ChainCompletePartialOrder.instOfCompleteLattice",
"convexJoin_segments",
"congrArg",
"DistribMulAction.toDistribSMul",
"AddCommGroup.toAddCommMonoid",
"convexJoin",
"LinearOrder",
"AddMonoid.toAddZeroClass",
"PartialOrder.toPreorder",
"IsStrictOrderedRing",
"AddCommGroup.toAddGroup"... | true |
Int16.lt_of_lt_of_le | Init.Data.SInt.Lemmas | [
"Eq.mpr",
"_private.Init.Data.SInt.Lemmas.0.Int16.lt_of_lt_of_le._simp_1_1",
"instLTInt16",
"Int16",
"id",
"Int",
"instLEInt16",
"LE.le",
"Int.instLTInt",
"Int.lt_of_lt_of_le",
"implies_congr",
"_private.Init.Data.SInt.Lemmas.0.Int16.lt_of_lt_of_le._simp_1_2",
"LT.lt",
"Int16.toInt",
"Eq... | true |
Vector.setIfInBounds_setIfInBounds | Init.Data.Vector.Lemmas | [
"Vector",
"congrArg",
"Vector.setIfInBounds",
"Vector.casesOn",
"Eq.rec",
"Array",
"Vector.mk",
"Nat",
"True",
"eq_self",
"of_eq_true",
"Eq.ndrec",
"Vector.setIfInBounds_mk._proof_1",
"Eq.refl",
"congrFun'",
"Array.setIfInBounds",
"Eq",
"Array.size",
"Vector.mk.congr_simp",
"Eq... | true |
CategoryTheory.MonoidalCategory.MonoidalLeftAction.oppositeLeftAction_actionRight_op | Mathlib.CategoryTheory.Monoidal.Action.Opposites | [
"Opposite",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"Quiver.Hom.op",
"CategoryTheory.MonoidalCategory",
"CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj",
"CategoryTheory.MonoidalCategory.MonoidalLeftAction.toMonoidalLeftActionStruct",
"CategoryTheory.MonoidalCategor... | true |
CategoryTheory.Functor.FullyFaithful.ofFullyFaithful | Mathlib.CategoryTheory.Functor.FullyFaithful | [
"CategoryTheory.Functor.preimage",
"CategoryTheory.Functor",
"CategoryTheory.Functor.FullyFaithful.ofFullyFaithful._proof_4",
"CategoryTheory.Functor.FullyFaithful.mk",
"CategoryTheory.Functor.FullyFaithful.ofFullyFaithful._proof_2",
"CategoryTheory.Functor.Faithful",
"CategoryTheory.Functor.FullyFaithf... | true |
Int.Linear.eq_coeff | Init.Data.Int.Linear | [
"Eq.mpr",
"Bool.and'",
"HMul.hMul",
"Int.Linear.eq_coeff_cert",
"congrArg",
"Bool.and'_eq_and",
"Decidable.decide.congr_simp",
"Int.Linear.Poly.mul_k",
"Int.Linear.Poly.beq'",
"Int.Linear.Poly.denote_mul",
"id",
"Bool.and",
"Int.Linear.Poly.beq'_eq",
"Int",
"Int.Linear.Poly.denote'",
"... | true |
TwoP.concreteCategory._proof_6 | Mathlib.CategoryTheory.Category.TwoP | [
"CategoryTheory.ConcreteCategory.ofHom_hom._autoParam",
"TwoP.concreteCategory._aux_1",
"CategoryTheory.CategoryStruct.toQuiver",
"Quiver.Hom",
"TwoP.toBipointed",
"Bipointed.hasForget",
"TwoP",
"Bipointed.X",
"CategoryTheory.InducedCategory.instCategory",
"Bipointed.HomSubtype",
"autoParam",
... | false |
Prod.gameAdd_mk_iff | Mathlib.Order.GameAdd | [
"Prod.GameAdd",
"Prod.mk",
"And",
"Iff",
"Prod.gameAdd_iff",
"Or",
"Eq"
] | true |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.