name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Aesop.ScriptGenerated.noConfusion
Aesop.Stats.Basic
[ "Aesop.ScriptGenerated.casesOn", "Aesop.ScriptGenerated.noConfusionType", "Aesop.ScriptGenerated.Method", "Aesop.ScriptGenerated", "Bool", "Eq.ndrec", "Eq.refl", "Eq" ]
false
Lean.PersistentHashMap.isEmpty
Lean.Data.PersistentHashMap
[ "Lean.PersistentHashMap.Node", "Lean.PersistentHashMap", "Bool", "Hashable", "Lean.PersistentHashMap.Node.isEmpty", "BEq", "_private.Lean.Data.PersistentHashMap.0.Lean.PersistentHashMap.isEmpty.match_1" ]
true
Rat.divCasesOn
Mathlib.Data.Rat.Defs
[ "Int.cast", "Eq.mpr", "Nat.Coprime", "instHDiv", "Rat", "Rat.divInt", "Rat.instIntCast", "HDiv.hDiv", "Ne", "instOfNatNat", "Int", "Rat.divCasesOn._proof_1", "Nat.cast", "Rat.casesOn", "Nat", "Int.natAbs", "instNatCastInt", "Rat.mk'", "OfNat.ofNat", "Rat.instDiv", "Rat.instNa...
true
DistLat.ofHom_comp
Mathlib.Order.Category.DistLat
[ "DistLat.of", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "DistribLattice.toLattice", "DistLat.instCategory", "LatticeHom", "DistLat.ofHom", "LatticeHom.comp", "DistribLattice", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "DistLat", "...
true
RingEquiv.ofRingHom
Mathlib.Algebra.Ring.Equiv
[ "RingHom.map_add'", "RingEquiv.ofRingHom._proof_2", "RingHom", "Equiv.mk", "Distrib.toAdd", "RingHom.comp", "NonAssocSemiring", "RingHom.instFunLike", "Distrib.toMul", "RingEquiv.ofRingHom._proof_1", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toDistrib", "Ring...
true
Matrix.submatrixEquivInvertibleEquivInvertible_apply
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Matrix.submatrix", "Equiv.instEquivLike", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "Matrix.invertibleOfSubmatrixEquivInvertible", "AddGroupWithOne.toAddMonoidWithOne"...
true
CategoryTheory.ShortComplex.LeftHomologyData.ofAbelian._proof_5
Mathlib.Algebra.Homology.ShortComplex.Abelian
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Limits.cokernel", "CategoryTheory.Abelian", "CategoryTheory.Limits.kernel", "CategoryTheory.Limits.HasCokernels.has_colimit", "CategoryTheory.Limits.HasKernel", "CategoryTheory.Sh...
false
Submonoid.LocalizationMap.sec.eq_1
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Submonoid.LocalizationMap.sec", "HMul.hMul", "Monoid.toMulOneClass", "Membership.mem", "MulOne.toMul", "Subtype", "Prod.fst", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "Submonoid.LocalizationMap", "Submonoid.LocalizationMap.instFunLike", "Classical.choose", "Eq.refl", "Submonoid.inst...
true
_private.Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess.0.Finset.orderEmbOfFinWithBot
Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess
[ "Finset.orderEmbOfFin", "Fin.pred", "Finset", "LinearOrder", "_private.Mathlib.Probability.Independence.Process.HasIndepIncrements.IsGaussianProcess.0.Finset.orderEmbOfFinWithBot._proof_1", "PartialOrder.toPreorder", "instDecidableEqFin", "Preorder.toLE", "_private.Mathlib.Probability.Independence.P...
true
UInt32.modn
Init.Data.UInt.Basic
[ "UInt32.size", "BitVec", "instOfNatNat", "Fin.val", "Nat.cast", "UInt32.ofBitVec", "Nat", "UInt32", "BitVec.instNatCast", "Fin.modn", "UInt32.toFin", "OfNat.ofNat" ]
true
PresheafOfModules.pullback_id_comp
Mathlib.Algebra.Category.ModuleCat.Presheaf.Pullback
[ "PresheafOfModules.instIsRightAdjointPushforwardCompFunctorOppositeRingCatWhiskerLeftOp", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PresheafOfModules.pullbackPushforwardAdjunction", "CategoryTheory.Functor.category", "...
true
AddSubgroup.eq_bot_iff_forall
Mathlib.Algebra.Group.Subgroup.Lattice
[ "AddGroup.toSubtractionMonoid", "AddSubgroup.instBot", "AddMonoid.toAddZeroClass", "Function.Injective.eq_iff", "Membership.mem", "AddSubmonoid", "SubtractionMonoid.toSubNegZeroMonoid", "Bot.bot", "SubNegZeroMonoid.toNegZeroClass", "AddSubgroup", "AddSubgroup.toAddSubmonoid_injective", "AddGro...
true
NumberField.mixedEmbedding_injective
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
[ "Real", "NumberField.mixedEmbedding", "NumberField.mixedEmbedding.instNontrivialMixedSpace", "NumberField.InfinitePlace.IsComplex", "RingHom", "Field.toDivisionRing", "Real.semiring", "Subtype", "NumberField.mixedEmbedding.mixedSpace", "CommRing.toNonAssocCommRing", "NumberField.InfinitePlace.Is...
true
UniformSpaceCat._sizeOf_1
Mathlib.Topology.Category.UniformSpace
[ "UniformSpace", "instSizeOfDefault", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "UniformSpaceCat.rec", "SizeOf.sizeOf", "instAddNat", "OfNat.ofNat", "UniformSpaceCat" ]
false
_private.Mathlib.Order.Filter.Pi.0.Filter.pi_neBot._simp_1_1
Mathlib.Order.Filter.Pi
[ "Filter.NeBot", "Filter.neBot_iff", "Ne", "Bot.bot", "propext", "Eq", "Filter", "Filter.instBot" ]
false
Std.le_iff_lt_or_eq
Init.Data.Order.Lemmas
[ "Std.le_of_eq", "Classical.not_not._simp_1", "congrArg", "_private.Init.Data.Order.Lemmas.0.Std.instAsymmLtOfLawfulOrderLT._simp_1", "Std.IsPartialOrder", "Std.instReflLeOfIsPreorder", "_private.Init.Data.Order.Lemmas.0.Std.le_iff_lt_or_eq._simp_1_1", "_private.Init.Data.Order.Lemmas.0.Std.le_iff_lt_o...
true
BoundedContinuousFunction.instFunLike._proof_1
Mathlib.Topology.ContinuousMap.Bounded.Basic
[ "Real.instLE", "Real", "Continuous", "ContinuousMap.mk", "ContinuousMap", "PseudoMetricSpace.toUniformSpace", "Exists", "Eq.rec", "LE.le", "TopologicalSpace", "PseudoMetricSpace", "BoundedContinuousFunction.mk", "Eq.ndrec", "Eq.refl", "ContinuousMap.toFun", "Dist.dist", "PseudoMetric...
false
_private.Mathlib.RingTheory.NoetherNormalization.0.exists_integral_inj_algHom_of_quotient._proof_1_2
Mathlib.RingTheory.NoetherNormalization
[ "Submodule", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Semiring.toModule", "AlgHom.algHomClass", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "Field.toDivisionRing", ...
false
SheafOfModules.Presentation.map._proof_2
Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent
[ "SheafOfModules.Presentation.mapRelations._proof_2", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.PreservesColimitsOfSize", "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "AddCommGrpCat.hasLimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory"...
false
ContDiffMapSupportedIn.structureMapLM._proof_7
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "NormedCommRing.toSeminormedCommRing", "Real", "NormedSpace.toIsBoundedSMul", "NormedSpace", "Real.denselyNormedField", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "ContinuousMultilinearMap.instSMul", "PseudoMetricSpace.to...
false
Valuation.comap_comp
Mathlib.RingTheory.Valuation.Basic
[ "RingHom", "RingHom.comp", "Valuation.ext", "LinearOrderedCommMonoidWithZero", "Valuation.instFunLike", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "Eq", "Valuation.comap", "DFunLike.coe", "Ring", "Valuation", "rfl" ]
true
CategoryTheory.GrothendieckTopology.instCompleteLattice._proof_3
Mathlib.CategoryTheory.Sites.Grothendieck
[ "Lattice.toSemilatticeSup", "completeLatticeOfInf", "CompleteLattice.toLattice", "CategoryTheory.GrothendieckTopology.sieves", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "Max", "inferInstance", "CategoryTheory....
false
CategoryTheory.Subobject.isoOfMkEq_inv
Mathlib.CategoryTheory.Subobject.Basic
[ "CategoryTheory.Subobject.underlying", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "Preorder.smallCategory", "CategoryTheory.instPartialOrderSubobject", "CategoryTheory.Subobject.mk", "CategoryTheory.Subobject.isoOfMkEq._proof_3", "Eq.r...
true
MeasureTheory.integral_vadd_eq_self
Mathlib.MeasureTheory.Group.Integral
[ "Eq.mpr", "MeasurableEquiv.measurableEmbedding", "Real", "MeasureTheory.Measure", "MeasurableConstVAdd", "NormedSpace", "AddMonoid.toAddSemigroup", "congrArg", "MeasureTheory.VAddInvariantMeasure", "MeasurableEmbedding.integral_map", "id", "MeasurableEquiv.vadd", "HVAdd.hVAdd", "Measurable...
true
_private.Mathlib.Data.Seq.Basic.0.Stream'.Seq.map_append.match_1_1
Mathlib.Data.Seq.Basic
[ "Stream'.Seq", "HEq.refl", "Exists", "Stream'.Seq.map", "Eq.casesOn", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Stream'.Seq.append", "Eq.symm", "Eq" ]
false
real_inner_self_nonpos
Mathlib.Analysis.InnerProductSpace.Basic
[ "Real.instLE", "Real", "Inner.inner", "Real.instZero", "Real.instRCLike", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "Iff", "re_inner_self_nonpos", "Zero.toOfNat0", "NormedAddCommGroup.toAddCommGroup", "I...
true
CategoryTheory.MorphismProperty.isomorphisms.infer_property
Mathlib.CategoryTheory.MorphismProperty.Basic
[ "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.isomorphisms", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Category" ]
true
LocallyFiniteOrderTop.mk
Mathlib.Order.Interval.Finset.Defs
[ "Preorder.toLT", "LocallyFiniteOrderTop", "Finset", "Preorder.toLE", "Membership.mem", "LE.le", "Iff", "Finset.instSetLike", "LT.lt", "LocallyFiniteOrderTop.mk", "SetLike.instMembership", "Preorder" ]
true
_private.Mathlib.FieldTheory.Finite.Basic.0.FiniteField.exists_root_sum_quadratic._simp_1_1
Mathlib.FieldTheory.Finite.Basic
[ "Finset", "Disjoint", "Membership.mem", "Finset.partialOrder", "Finset.instSetLike", "propext", "Finset.disjoint_left", "Finset.instOrderBot", "Eq", "Not", "SetLike.instMembership" ]
false
_private.Mathlib.Data.Nat.Digits.Defs.0.Nat.toDigitsCore.match_1.eq_1
Mathlib.Data.Nat.Digits.Defs
[ "_private.Init.Data.Repr.0.Nat.toDigitsCore.match_1", "instOfNatNat", "List", "Nat", "Eq.refl", "Char", "OfNat.ofNat", "Nat.succ", "Eq" ]
true
CategoryTheory.isDetector_separator
Mathlib.CategoryTheory.Generator.Basic
[ "CategoryTheory.HasSeparator", "CategoryTheory.IsSeparator.isDetector", "CategoryTheory.separator", "CategoryTheory.Balanced", "CategoryTheory.isSeparator_separator", "CategoryTheory.IsDetector", "CategoryTheory.Category" ]
true
UniversalEnvelopingAlgebra.Rel.casesOn
Mathlib.Algebra.Lie.UniversalEnveloping
[ "LieAlgebra.toModule", "UniversalEnvelopingAlgebra.Rel", "CommRing", "HMul.hMul", "LieRing.toAddCommGroup", "UniversalEnvelopingAlgebra.Rel.rec", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Bracket.bracket", "LinearMap.instFunLike", "Algebra.toModule", "Algebra.id", "Distrib....
false
AlgebraicGeometry.PresheafedSpace.GlueData.f_open
Mathlib.Geometry.RingedSpace.PresheafedSpace.Gluing
[ "CategoryTheory.GlueData.f", "CategoryTheory.GlueData.J", "Prod.mk", "AlgebraicGeometry.PresheafedSpace.GlueData", "CategoryTheory.GlueData.V", "AlgebraicGeometry.PresheafedSpace.IsOpenImmersion", "AlgebraicGeometry.PresheafedSpace", "CategoryTheory.GlueData.U", "AlgebraicGeometry.PresheafedSpace.ca...
true
Finset.card_eq_three
Mathlib.Data.Finset.Card
[ "_private.Mathlib.Data.Finset.Card.0.Finset.card_eq_three._proof_1_1", "Eq.mpr", "congrArg", "Finset", "Membership.mem", "Exists", "id", "Insert.insert", "Ne", "instOfNatNat", "Finset.instInsert", "_private.Mathlib.Data.Finset.Card.0.Finset.card_eq_three._proof_1_2", "instHAdd", "And", "...
true
TrivSqZeroExt.commRing._proof_2
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "Semigroup.toMul", "CommRing", "TrivSqZeroExt", "TrivSqZeroExt.commMonoid", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "CommMonoid.mul_comm", "AddMonoid.toAddZeroClass", "MulOpposite", "AddCommGroup.toAddGroup", "AddZeroClass.toA...
false
Function.Surjective.addMonoidWithOne
Mathlib.Algebra.Ring.InjSurj
[ "instHSMul", "AddMonoidWithOne.mk", "One", "AddMonoid.toAddSemigroup", "Function.Surjective.addMonoidWithOne._proof_2", "Function.Surjective.addMonoidWithOne._proof_3", "SMul", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "Function.Surjective.addMonoid", "AddZeroClass.toAddZero", "NatCast"...
true
AddSubgroup.topologicalClosure.eq_1
Mathlib.Topology.Algebra.Group.Basic
[ "AddMonoid.toAddZeroClass", "Membership.mem", "AddSubgroup.topologicalClosure._proof_3", "AddZeroClass.toAddZero", "AddSubgroup.topologicalClosure", "AddSubmonoid.mk", "AddSubsemigroup.mk", "AddSubgroup", "TopologicalSpace", "AddSubgroup.topologicalClosure._proof_2", "AddGroup", "AddGroup.toSu...
true
CategoryTheory.ComposableArrows.homMk₃_app_zero
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "instNeZeroNatHAdd_1", "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_246", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.ComposableArrows", "Fin.mk", "CategoryTheory.ComposableArr...
true
RelSeries.tail._proof_2
Mathlib.Order.RelSeries
[ "SetRel", "Nat.lt_pred_iff", "HSub.hSub", "Fin.isLt", "RelSeries.length", "instSubNat", "instOfNatNat", "RelSeries", "Fin.val", "instHSub", "Nat", "LT.lt", "Iff.mp", "instLTNat", "OfNat.ofNat", "Fin", "Nat.succ", "Nat.pred" ]
false
CompleteLattice.toLattice
Mathlib.Order.CompleteLattice.Defs
[ "Lattice", "CompleteLattice" ]
true
HomologicalComplex.extend.XIso._proof_1
Mathlib.Algebra.Homology.Embedding.Extend
[ "CategoryTheory.Limits.HasZeroMorphisms", "Option.some", "HomologicalComplex", "ComplexShape", "CategoryTheory.Limits.HasZeroObject", "Eq.ndrec", "Eq.refl", "HomologicalComplex.X", "Eq.symm", "Eq", "HomologicalComplex.extend.X", "CategoryTheory.Category", "Option" ]
false
_private.Mathlib.MeasureTheory.Function.AbsolutelyContinuous.0.IntervalIntegrable.absolutelyContinuousOnInterval_intervalIntegral.match_1_1
Mathlib.MeasureTheory.Function.AbsolutelyContinuous
[ "Real", "Prod.mk", "Nat", "Prod", "Prod.casesOn" ]
false
exists₃_congr
Init.PropLemmas
[ "Exists", "exists₂_congr", "exists_congr", "Iff" ]
true
UInt8.ofNat_add
Init.Data.UInt.Lemmas
[ "UInt8.toNat_add", "instPowNat", "congrArg", "UInt8.toNat_ofNat'", "Nat.instMod", "instHMod", "instOfNatNat", "Nat.add_mod_mod", "instAddUInt8", "instNatPowNat", "instHAdd", "HMod.hMod", "Nat.mod_add_mod", "HPow.hPow", "HAdd.hAdd", "Nat", "congr", "True", "_private.Init.Data.UInt...
true
instProperVAddOfIsTopologicalAddGroup
Mathlib.Topology.Algebra.ProperAction.Basic
[ "Continuous.comp'", "Continuous.neg", "Homeomorph.mk", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "congrArg", "add_neg_cancel_right", "Continuous.snd", "Homeomorph.isProperMap", "AddMonoid.toAddZeroClass", "continuous_id'", "instTopologicalSpaceProd", "AddZeroClass.toAddZero", "...
true
CategoryTheory.IsGrothendieckAbelian.GabrielPopescu.preservesFiniteLimits
Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.GabrielPopescu
[ "CategoryTheory.Functor.preservesFiniteLimits_of_preservesHomology", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "CategoryTheory.Limits.PreservesColimits.preservesFiniteColimits", "CategoryTheory.Limits.PreservesFiniteLimits", "ModuleCat.hasLi...
true
_private.Mathlib.Order.Lattice.0.exists_and_iff_of_antitone.match_1_1
Mathlib.Order.Lattice
[ "Exists", "And.casesOn", "And", "Exists.casesOn", "And.intro", "Exists.intro" ]
false
CategoryTheory.Mat_.additiveObjIsoBiproduct_naturality_assoc
Mathlib.CategoryTheory.Preadditive.Mat
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Mat_.additiveObjIsoBiproduct_naturality", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.Additive", "CategoryTheory.Limits.HasFiniteBiproducts", "CategoryTheory.Mat_.instHasBiprodu...
true
CategoryTheory.idLiftsCocone
Mathlib.CategoryTheory.Limits.Creates
[ "CategoryTheory.LiftableCocone.mk", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.Limits.Cocone.ext", "CategoryTheory.Functor.category", "CategoryTheory.Functor.rightUnitor", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", ...
true
MulArchimedeanOrder.instPreorder._proof_1
Mathlib.Algebra.Order.Archimedean.Class
[ "Equiv.instEquivLike", "instReflLe", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Std.le_refl._simp_1", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Equiv", "DivInvMonoid.toMonoid", "instOfNatNat", "LE.le", "CommGroup", "Monoid.toPow", "Group...
false
monotone_of_deriv_nonneg
Mathlib.Analysis.Calculus.Deriv.MeanValue
[ "Differentiable", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real.instLE", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "Continuous.continuousOn", "IsTopologicalRing.toIsTopologicalSemiring", "Real.denselyNormedField", "Real.i...
true
TestFunction.fderivCLM._proof_13
Mathlib.Analysis.Distribution.TestFunction
[ "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "IsBoundedSMul.toUniformContinuousConstSMul"...
false
_private.Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin.0.ContinuousAlternatingMap.alternatizeUncurryFinCLM.aux._proof_4
Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "NormedField.toField", "Field.toSemifield", "Field.toCommRing", "smulCommClass_self", "Semifield.toDivisionSemiring", "CommMonoid.toMonoid", "Monoid.toSemigroup", "DivisionSemiring.toSemiring", "NontriviallyNormedField", ...
false
CategoryTheory.Pretopology.orderTop._proof_2
Mathlib.CategoryTheory.Sites.Pretopology
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "Set.univ", "Membership.mem", "CategoryTheory.Presieve.pullbackArrows", "CategoryTheory.Presieve.instHasPullbacksOfHasPullbacks", "CategoryTheory.Limits.HasPullbacks", "Set.mem_univ", "CategoryTheory.Category.toCate...
false
_private.Mathlib.CategoryTheory.WithTerminal.Cone.0.CategoryTheory.WithTerminal.map.match_1.eq_3
Mathlib.CategoryTheory.WithTerminal.Cone
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.WithTerminal", "CategoryTheory.WithTerminal.of", "CategoryTheory.WithTerminal.star", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.WithTerminal.map.match_1", "CategoryTheory.WithTerminal.instCategory", ...
true
MeasureTheory.IsProjectiveLimit.isProbabilityMeasure
Mathlib.MeasureTheory.Constructions.Projective
[ "Eq.mpr", "MeasureTheory.IsProjectiveLimit", "MeasureTheory.Measure", "congrArg", "Finset", "Set.univ", "Membership.mem", "MeasureTheory.IsProjectiveLimit.measure_univ_eq", "MeasureTheory.IsProbabilityMeasure.measure_univ", "id", "Subtype", "Finset.instEmptyCollection", "MeasurableSpace", ...
true
_private.Mathlib.Algebra.Group.Action.Defs.0.smul_pow.match_1_1
Mathlib.Algebra.Group.Action.Defs
[ "Unit.unit", "instOfNatNat", "Unit", "Nat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
Fin.instNontrivial
Mathlib.Data.Fin.Basic
[ "Nontrivial", "Iff.mpr", "Nat.AtLeastTwo.one_lt", "instOfNatNat", "LE.le", "instLENat", "Nat", "OfNat.ofNat", "Fin", "Fin.nontrivial_iff_two_le", "Nat.AtLeastTwo" ]
true
Std.DTreeMap.Raw.Const.get!_diff_of_mem_right
Std.Data.DTreeMap.Raw.Lemmas
[ "Inhabited.default", "Std.DTreeMap.Raw.Const.get!", "Std.DTreeMap.Raw.instMembership", "Std.DTreeMap.Internal.Impl.Const.get!_diff!_of_contains_right", "congrArg", "Ord.mk", "Membership.mem", "Ordering", "Eq.mp", "id", "Std.TransCmp", "Bool.true", "SDiff.sdiff", "Std.DTreeMap.Raw.WF.out", ...
true
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidalObj.eq_1
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Mon", "CategoryTheory.discreteCategory", "CategoryTheory.Mon.X", "PUnit", "Eq.refl", "CategoryTheory.Functor.const", "CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidalObj"...
true
_private.Mathlib.Geometry.Manifold.ContMDiff.Defs.0.contMDiffOn_iff_of_mem_maximalAtlas._simp_1_2
Mathlib.Geometry.Manifold.ContMDiff.Defs
[ "And", "propext", "Eq.symm", "Eq", "forall_and" ]
false
Std.HashMap.getElem?_insertMany_list.match_1
Std.Data.HashMap.Lemmas
[ "Prod.mk", "Prod", "Prod.casesOn" ]
false
Ordinal.card_lt_aleph0
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.instLinearOrder", "Preorder.toLT", "Ordinal.omega0", "Ordinal.partialOrder", "Cardinal", "PartialOrder.toPreorder", "le_iff_le_iff_lt_iff_lt", "Preorder.toLE", "Cardinal.aleph0", "LE.le", "Ordinal.aleph0_le_card", "Ordinal.card", "Cardinal.partialOrder", "Iff", "LT.lt", "Iff.m...
true
Lean.Parser.Tactic.MRefinePat.stateful.injEq
Std.Tactic.Do.Syntax
[ "Lean.TSyntax", "Eq.propIntro", "Lean.Parser.Tactic.MRefinePat.stateful.inj", "List.cons", "Lean.Parser.Tactic.MRefinePat", "Eq.ndrec", "Lean.Name.mkStr2", "Eq.refl", "Lean.SyntaxNodeKind", "Eq", "Lean.Parser.Tactic.MRefinePat.stateful", "List.nil" ]
true
CategoryTheory.Subobject.ofMkLE_comp_ofLE
Mathlib.CategoryTheory.Subobject.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Subobject.underlying", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "PartialOrder.toPreorder", "CategoryTheory.Subobject.ofLE", "Preorder.toLE", "CategoryTheory.Subobject.underlyingIso", "E...
true
BiheytingAlgebra.recOn
Mathlib.Order.Heyting.Basic
[ "BiheytingAlgebra", "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "LE.le", "HNot.hnot", "GeneralizedHeytingAlgebra.toOrderTop", "SDiff.sdiff", "Iff", "BiheytingAlgebra.mk", "OrderTop.toTop", "HNot", "Max.max", "GeneralizedHeytingAlgebra.t...
false
CategoryTheory.Monoidal.transport._proof_3
Mathlib.CategoryTheory.Monoidal.Transport
[ "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.Monoidal.transportStruct", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Equivalence.inv_fun_map", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTh...
false
Mathlib.Tactic.ByCases._aux_Mathlib_Tactic_ByCases___elabRules__private_Mathlib_Tactic_ByCases_0_Mathlib_Tactic_ByCases_tacticTry_push_neg_at___1
Mathlib.Tactic.ByCases
[ "Lean.TSyntax", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Name.mkNum", "Lean.Meta.State", "Mathlib.Tactic.Push.elabPushConfig", "Lean.Syntax.isOfKind", "Lean.Elab.Tactic.Context", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr", "Lean.TSyntax.raw", "Lean.Meta.MetaM", "IO.RealWorld", ...
false
LatticeHom.dual._proof_3
Mathlib.Order.Hom.Lattice
[ "Lattice", "Lattice.toSemilatticeSup", "SupHom.toFun", "SemilatticeSup.toMax", "LatticeHom", "Max.max", "SupHom.map_sup'", "LatticeHom.toSupHom", "Eq" ]
false
Std.TreeSet.not_mem_diff_of_mem_right
Std.Data.TreeSet.Lemmas
[ "Std.TreeSet", "Membership.mem", "Ordering", "Std.TreeSet.inner", "Std.TransCmp", "Std.TreeSet.instSDiff", "SDiff.sdiff", "Unit", "Std.TreeMap.not_mem_diff_of_mem_right", "Not", "Std.TreeSet.instMembership" ]
true
CategoryTheory.Over.mono_of_mono_left
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over.forget_faithful", "CategoryTheory.Over", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.reflectsMonomorphisms_of_faithful", "CategoryTheory.Over.Hom.left", "CategoryTheory.Over.forget", "CategoryTheory.instCategoryOver", ...
true
Polynomial.leadingCoeff_det_X_one_add_C
Mathlib.LinearAlgebra.Matrix.Polynomial
[ "Nontrivial", "Eq.mpr", "Polynomial.C", "Matrix.smul", "Polynomial.leadingCoeff.eq_1", "RingHom.instRingHomClass", "LE.le.eq_or_lt", "False", "Polynomial.instOne", "CommRing", "instHSMul", "Preorder.toLT", "NeZero.one", "Matrix.add", "instSMulOfMul", "congrArg", "CommSemiring.toSemir...
true
AddCircle.liftIoc_continuous
Mathlib.Topology.Instances.AddCircle.Defs
[ "Iff.mpr", "continuous_coinduced_dom", "Eq.mpr", "OrderTopology", "Preorder.toLT", "Continuous", "Equiv.instEquivLike", "congrArg", "AddCommGroup.toAddCommMonoid", "LinearOrder", "Continuous.comp", "PartialOrder.toPreorder", "Homeomorph.continuous_toFun", "AddCircle.equivIccQuot", "AddCo...
true
CancelCommMonoid.noConfusionType
Mathlib.Algebra.Group.Defs
[ "Semigroup.toMul", "CancelCommMonoid.casesOn", "IsLeftCancelMul", "CommMonoid.toMonoid", "Monoid.toSemigroup", "HEq", "CommMonoid", "CancelCommMonoid" ]
false
Batteries.Tactic.CollectOpaques.State._sizeOf_inst
Batteries.Tactic.PrintOpaques
[ "Batteries.Tactic.CollectOpaques.State._sizeOf_1", "Batteries.Tactic.CollectOpaques.State", "SizeOf.mk", "SizeOf" ]
false
Batteries.Tactic.Lint.LintVerbosity.medium.sizeOf_spec
Batteries.Tactic.Lint.Frontend
[ "Batteries.Tactic.Lint.LintVerbosity.medium", "Batteries.Tactic.Lint.LintVerbosity", "Batteries.Tactic.Lint.LintVerbosity._sizeOf_inst", "instOfNatNat", "Nat", "SizeOf.sizeOf", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
BoundedContinuousFunction.coe_toContinuousMapₐ
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "NormedRing.toRing", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "IsTopologicalSemiring.toContinuousMul", "AlgHom", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "ContinuousMap", "AlgHom.funLike", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUniformSpac...
true
WithCStarModule.instCStarModuleProd._proof_3
Mathlib.Analysis.CStarAlgebra.Module.Constructions
[ "Distrib.leftDistribClass", "NonUnitalNormedRing.toNorm", "instHSMul", "NonUnitalCStarAlgebra.toNonUnitalNormedRing", "HMul.hMul", "Inner.inner", "congrArg", "AddCommGroup.toAddCommMonoid", "SMul", "NormedSpace.toModule", "Complex.instNormedField", "Prod.instSMul", "CStarModule", "NonUnita...
false
OpenNormalSubgroup.instSetLike._proof_1
Mathlib.Topology.Algebra.OpenSubgroup
[ "OpenSubgroup", "Group", "OpenSubgroup.instSetLike", "Subgroup", "SetLike.ext'", "TopologicalSpace", "SetLike.coe", "OpenNormalSubgroup.toSubgroup_injective", "OpenNormalSubgroup.toOpenSubgroup", "Eq", "OpenNormalSubgroup", "Subgroup.instSetLike", "OpenSubgroup.toSubgroup", "Set" ]
false
_private.Mathlib.Tactic.Linter.DirectoryDependency.0.Mathlib.Linter.directoryDependencyCheck.match_1
Mathlib.Tactic.Linter.DirectoryDependency
[ "_private.Mathlib.Tactic.Linter.DirectoryDependency.0.Mathlib.Linter.DirectoryDependency.NamePrefixRel.getAllLeft._sparseCasesOn_1", "Lean.MessageData", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Option" ]
false
CochainComplex.HomComplex.Triplet.q
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "CochainComplex.HomComplex.Triplet", "Int" ]
true
ZFSet.vonNeumann_subset_vonNeumann_iff._simp_1
Mathlib.SetTheory.ZFC.VonNeumann
[ "Ordinal.partialOrder", "ZFSet.vonNeumann_subset_vonNeumann_iff", "ZFSet", "PartialOrder.toPreorder", "Preorder.toLE", "HasSubset.Subset", "ZFSet.vonNeumann", "LE.le", "propext", "ZFSet.instHasSubset", "Eq", "Ordinal" ]
false
freeGroupEquivCoprodI
Mathlib.GroupTheory.CoprodI
[ "freeGroupEquivCoprodI._proof_1", "FreeGroup.of", "Unit.unit", "MonoidHom.instFunLike", "Monoid.CoprodI.of", "Equiv.instEquivLike", "MonoidHom", "Monoid.toMulOneClass", "Monoid.CoprodI.lift", "Equiv", "MulOne.toMul", "DivInvMonoid.toMonoid", "FreeGroup.lift", "Monoid.CoprodI", "Monoid.in...
true
generatePiSystem.below.rec
Mathlib.MeasureTheory.PiSystem
[ "generatePiSystem.below.base", "generatePiSystem.base", "Membership.mem", "Set.instInter", "Inter.inter", "Set.Nonempty", "generatePiSystem.below", "Set.instMembership", "generatePiSystem", "generatePiSystem.inter", "generatePiSystem.below.inter", "Set" ]
false
_private.Init.Data.Iterators.Lemmas.Combinators.FilterMap.0.Std.IterM.DefaultConsumers.forIn'_eq_match_step.match_3.eq_1
Init.Data.Iterators.Lemmas.Combinators.FilterMap
[ "Std.IterM.DefaultConsumers.forIn'_eq_match_step.match_3", "Std.IterStep", "Std.IterM.IsPlausibleStep", "Std.IterStep.skip", "Std.Iterator", "Subtype.mk", "Std.IterStep.yield", "Std.IterM.Step", "Std.IterStep.done", "Eq.refl", "Std.IterM", "Eq" ]
true
_private.Mathlib.Topology.Algebra.Module.ModuleTopology.0.IsModuleTopology.continuous_bilinear_of_pi_fintype._simp_1_1
Mathlib.Topology.Algebra.Module.ModuleTopology
[ "Finsupp.instFunLike", "Pi.single", "Finsupp.single_eq_pi_single", "Eq.symm", "Eq", "DFunLike.coe", "Finsupp", "DecidableEq", "Finsupp.single", "Zero" ]
false
MeasureTheory.ProgMeasurable.sub
Mathlib.Probability.Process.Adapted
[ "MeasureTheory.IsStronglyProgressive.sub", "HSub.hSub", "MeasureTheory.IsStronglyProgressive", "MeasureTheory.Filtration", "ContinuousSub", "SubNegMonoid.toSub", "MeasurableSpace", "TopologicalSpace", "AddGroup", "instHSub", "AddGroup.toSubNegMonoid", "Preorder" ]
true
IsLUB.of_image
Mathlib.Order.Bounds.Image
[ "Iff.mpr", "Monotone._to_dual_cast_2", "lowerBounds", "Monotone", "Preorder.toLE", "Membership.mem", "Eq.mp", "upperBounds", "LE.le", "Iff", "And.right", "And.left", "Set.mem_image_of_mem", "implies_congr", "Monotone.mem_upperBounds_image", "And.intro", "IsLUB", "Iff.mp", "Eq.ref...
true
TopCat.Presheaf.SheafCondition.opensLeCoverCocone._proof_1
Mathlib.Topology.Sheaves.SheafCondition.OpensLeCover
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.instPartialOrder", "iSup", "CategoryTheory.ObjectProperty.ι", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "TopologicalSpace.Open...
false
Rat.normalize._proof_4
Init.Data.Rat.Basic
[ "Nat.gcd", "Nat.Coprime", "Int.instDiv", "instHDiv", "HDiv.hDiv", "Ne", "instOfNatNat", "Int", "Nat.cast", "Rat.normalize.reduced", "Nat", "Int.natAbs", "Nat.instDiv", "instNatCastInt", "optParam", "OfNat.ofNat", "rfl" ]
false
Set.Icc.coe_iSup
Mathlib.Order.CompleteLatticeIntervals
[ "Set.range_comp", "Set.Icc.coe_sSup", "congrArg", "iSup", "PartialOrder.toPreorder", "ConditionallyCompleteLattice", "Preorder.toLE", "Function.comp", "Membership.mem", "Fact", "CompleteLattice.toConditionallyCompleteLattice", "Set.Elem", "Subtype", "LE.le", "Set.Icc.completeLattice", ...
true
_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.ToInt.0.Lean.Meta.Grind.Arith.Cutsat.toInt'.processSub._unsafe_rec
Lean.Meta.Tactic.Grind.Arith.Cutsat.ToInt
[ "Pure.pure", "Lean.Meta.Grind.GrindM", "Lean.Meta.Grind.Goal", "Lean.mkIntSub", "Lean.Meta.Grind.Arith.Cutsat.ToIntM.Context", "_private.Lean.Meta.Tactic.Grind.Arith.Cutsat.ToInt.0.Lean.Meta.Grind.Arith.Cutsat.mkWrap", "Lean.Meta.Grind.Arith.Cutsat.ToIntM", "Lean.Meta.Grind.State", "ReaderT", "Lea...
false
AddAction.prodEquiv._proof_1
Mathlib.Algebra.Group.Action.Prod
[ "AddMonoidHom.inl", "Eq.mpr", "AddMonoid.toAddSemigroup", "vadd_vadd", "congrArg", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "id", "Prod.mk", "zero_add", "HVAdd.hVAdd", "AddAction", "AddZero.toZero", "AddAction.toAddSemigroupAction", "instHAdd", "AddSemigroup.toAdd", "Add...
false
ProbabilityTheory.iIndepFun.indepFun_div_right₀
Mathlib.Probability.Independence.Basic
[ "Unit.unit", "instHSMul", "MeasureTheory.Measure", "instHDiv", "instSMulOfMul", "IsScalarTower.right", "AEMeasurable", "MeasureTheory.Measure.const_comp", "congrArg", "CommSemiring.toSemiring", "Pi.instDiv", "Set.univ", "ProbabilityTheory.Kernel.instFunLike", "Algebra.id", "MeasureTheory...
true
Matrix.diagonal_mem_matrix_iff
Mathlib.Data.Matrix.Diagonal
[ "Eq.mpr", "Equiv.instEquivLike", "and_true", "congrArg", "Matrix", "Matrix.of", "Membership.mem", "Eq.rec", "id", "Equiv", "forall_eq'._simp_1", "iff_self", "And", "Iff", "_private.Mathlib.Data.Matrix.Diagonal.0.Matrix.diagonal_mem_matrix_iff._simp_1_1", "implies_congr", "ite_mem", ...
true
Std.Do.ExceptConds.imp._f
Std.Do.PostCond
[ "Std.Do.ExceptConds.entails.match_1", "Std.Do.PostShape.except", "Std.Do.Assertion", "Std.Do.PostShape.arg", "Prod.mk", "Std.Do.PostShape", "Std.Do.PostShape.pure", "Std.Do.PostShape.below", "Prod.fst", "Std.Do.SPred.imp", "PUnit.unit", "Std.Do.PostShape.args", "Prod.snd", "Std.Do.ExceptCo...
false
_private.Mathlib.Topology.Semicontinuity.Basic.0.lowerSemicontinuousOn_iff_preimage_Ioi._simp_1_3
Mathlib.Topology.Semicontinuity.Basic
[ "Exists", "TopologicalSpace", "And", "TopologicalSpace.induced", "Set.preimage", "propext", "IsOpen", "Eq", "isOpen_induced_iff", "Set" ]
false
CategoryTheory.Limits.hasColimitsOfShape_discrete
Mathlib.CategoryTheory.Limits.Shapes.FiniteProducts
[ "CategoryTheory.Limits.HasColimitsOfShape", "Finite", "Exists", "CategoryTheory.Limits.HasFiniteCoproducts", "Equiv", "CategoryTheory.Discrete.equivalence", "CategoryTheory.Limits.HasFiniteCoproducts.out", "Exists.casesOn", "CategoryTheory.discreteCategory", "Nat", "Nonempty.casesOn", "Categor...
true
Monoid.Foldl.ofFreeMonoid._proof_1
Mathlib.Control.Fold
[ "Eq.mpr", "CancelMonoid.toRightCancelMonoid", "FreeMonoid", "Equiv.instEquivLike", "HMul.hMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Monoid.toMulOneClass", "congrArg", "MulOpposite", "FreeMonoid.instCancelMonoid", "TypeCat.ofHom", "Monoid.Foldl", "flip", "id", "Equi...
false
instIdempotentOpInt64HOr
Init.Data.SInt.Bitwise
[ "instHOrOfOrOp", "Int64", "instOrOpInt64", "HOr.hOr", "Std.IdempotentOp.mk", "Std.IdempotentOp", "Int64.or_self" ]
true