name
stringlengths
2
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module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
groupHomology.chainsMap_f_single
Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality
[ "Rep.V", "CommRing", "MonoidHom.instFunLike", "LinearMap.comp.congr_simp", "Finsupp.module", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "MonoidHom", "Quiver.Hom", "ModuleCat", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "Catego...
true
_private.Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic.0.MeasureTheory.«_aux_Mathlib_MeasureTheory_Function_StronglyMeasurable_Basic___macroRules__private_Mathlib_MeasureTheory_Function_StronglyMeasurable_Basic_0_MeasureTheory_term_→ₛ__1»
Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
Finset.image_comm
Mathlib.Data.Finset.Image
[ "Eq.mpr", "congrArg", "Finset", "Function.comp", "id", "funext", "congr", "True", "eq_self", "of_eq_true", "congrFun'", "Finset.image_image", "Eq", "Finset.image", "Eq.trans", "DecidableEq" ]
true
Std.Tactic.BVDecide.BVExpr.bitblast.blastAdd.go_le_size
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Add
[ "Std.Sat.AIG.Decl", "Std.Tactic.BVDecide.BVExpr.bitblast.blastAdd.go_le_size._unary", "LE.le", "Std.Tactic.BVDecide.BVExpr.bitblast.blastAdd.go", "instLENat", "Std.Sat.AIG.Ref", "Std.Sat.AIG", "Nat", "PSigma.mk", "Hashable", "Std.Sat.AIG.RefVecEntry.aig", "Std.Sat.AIG.RefVec", "PSigma", "A...
true
CategoryTheory.Limits.CategoricalPullback.fst
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Limits.CategoricalPullback", "CategoryTheory.Category" ]
true
_private.Mathlib.Analysis.Distribution.TemperateGrowth.0.Function.HasTemperateGrowth.sub._proof_1_1
Mathlib.Analysis.Distribution.TemperateGrowth
[ "Lean.Grind.Linarith.Expr", "NegZeroClass.toNeg", "Lean.RArray.leaf", "False", "Lean.Grind.Linarith.Expr.neg", "Pi.instNeg", "Lean.Grind.Linarith.diseq_unsat", "AddCommGroup.toAddCommMonoid", "Classical.byContradiction", "HSub.hSub", "AddCommGroup.toAddGroup", "Lean.Grind.Linarith.diseq_norm",...
false
_private.Mathlib.Order.Filter.Bases.Basic.0.Filter.inf_neBot_iff_frequently_left._simp_1_3
Mathlib.Order.Filter.Bases.Basic
[ "and_comm", "And", "propext", "Eq" ]
false
Projectivization.Independent.mk
Mathlib.LinearAlgebra.Projectivization.Independence
[ "Projectivization.mk", "Projectivization.Independent", "AddCommGroup.toAddCommMonoid", "DivisionRing.toDivisionSemiring", "AddCommGroup", "Ne", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "Projectivization.Independent.mk",...
true
FloorRing.gc_ceil_coe
Mathlib.Algebra.Order.Floor.Defs
[ "Int.cast", "LinearOrder", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Int", "AddGroupWithOne.toIntCast", "instLatticeInt", "FloorRing", "Ring", "Ring.toAddGroupWithOne", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf", "GaloisConn...
true
inner_self_eq_one_of_norm_eq_one
Mathlib.Analysis.InnerProductSpace.Basic
[ "Iff.mpr", "NormedCommRing.toNormedRing", "Norm.norm", "Real", "NormedRing.toRing", "Inner.inner", "AddGroupWithOne.toAddMonoidWithOne", "RCLike.toDenselyNormedField", "Real.instOne", "AddMonoidWithOne.toOne", "RCLike", "inner_eq_one_iff_of_norm_eq_one", "NormedAddCommGroup.toNorm", "One.t...
true
Lean.Grind.CommRing.Expr.sub.sizeOf_spec
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Expr", "Lean.Grind.CommRing.Expr._sizeOf_inst", "Lean.Grind.CommRing.Expr.sub", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
OreLocalization.instAddGroupOreLocalization._proof_2
Mathlib.RingTheory.OreLocalization.Basic
[ "Monoid", "Monoid.toMulOneClass", "OreLocalization.OreSet", "OreLocalization", "AddMonoid.toZero", "Int", "AddGroup", "OreLocalization.zsmul", "AddGroup.toSubNegMonoid", "instOfNat", "OreLocalization.instAddMonoid", "DistribMulAction", "Zero.toOfNat0", "Eq.refl", "SubNegMonoid.toAddMonoi...
false
Lean.Meta.Rewrites.RewriteResultConfig.mk._flat_ctor
Lean.Meta.Tactic.Rewrites
[ "Lean.Meta.Rewrites.SideConditions", "Lean.MetavarContext", "Lean.MVarId", "Lean.Expr", "Lean.Meta.Rewrites.RewriteResultConfig.mk", "Nat", "Bool", "Lean.Meta.Rewrites.RewriteResultConfig" ]
false
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isLevelDefEqS.match_1.eq_11
Lean.Meta.Sym.Pattern
[ "Lean.Level.param", "Lean.Level.imax", "Lean.Level", "Unit", "Lean.Level.zero", "Lean.Name", "Eq.refl", "Lean.Level.succ", "Eq", "Lean.Level.max", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isLevelDefEqS.match_1" ]
true
_private.Mathlib.RingTheory.PowerSeries.Basic.0.PowerSeries.coeff_one_pow._simp_1_8
Mathlib.RingTheory.PowerSeries.Basic
[ "propext", "Or", "Eq", "or_assoc" ]
false
NumberField.InfinitePlace.IsUnramified.liesOver_isReal_over
Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
[ "Iff.mpr", "Eq.mpr", "Real.partialOrder", "NumberField.InfinitePlace.not_isComplex_iff_isReal", "Real", "Algebra.algebraMap", "congrArg", "NumberField.InfinitePlace.IsComplex", "Complex.instNormedField", "NumberField.InfinitePlace.comap", "Algebra", "RingHom", "Exists", "Field.toDivisionRi...
true
Lean.JsonNumber.instNeg
Lean.Data.Json.Basic
[ "Lean.JsonNumber.exponent", "Neg.mk", "Lean.JsonNumber", "Int.instNegInt", "Lean.JsonNumber.mk", "Int", "Lean.JsonNumber.mantissa", "Neg", "Neg.neg" ]
true
Finsupp.span_image_eq_map_linearCombination
Mathlib.LinearAlgebra.Finsupp.LinearCombination
[ "Iff.mpr", "Finsupp.instFunLike", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "RingHomSurjective.ids", "Submodule.addSubmonoidClass", "instHSMul", "Semiring.toModule", "Finsupp.module", "congrArg", "Submodule.span_eq_of_le", "DistribMulAction.toDistribSMul", "Finset",...
true
_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.MessageOverview.request
Lean.Server.ProtocolOverview
[ "_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.MessageOverview.request", "_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.MessageOverview", "_private.Lean.Server.ProtocolOverview.0.Lean.Server.Overview.RequestOverview" ]
true
ByteArray.toUInt64BE!
Init.Data.ByteArray.Extra
[ "UInt64.instOfNat", "instHOrOfOrOp", "UInt64", "String", "HShiftLeft.hShiftLeft", "panicWithPosWithDecl", "instDecidableEqBool", "instOfNatNat", "UInt8.toUInt64", "instInhabitedUInt64", "instBEqOfDecidableEq", "Bool.true", "instAppendString", "HOr.hOr", "instHAppendOfAppend", "BEq.beq"...
true
CategoryTheory.Kleisli.Adjunction.adj._proof_3
Mathlib.CategoryTheory.Monad.Kleisli
[ "CategoryTheory.Kleisli.Hom.of", "CategoryTheory.Category.assoc", "CategoryTheory.Monad", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Kleisli.Adjunction.adj._proof_2", "CategoryTheory.Kleisli", "CategoryTheory.Monad.left_unit", "Cate...
false
ProbabilityTheory.HasGaussianLaw.memLp
Mathlib.Probability.Distributions.Gaussian.HasGaussianLaw.Basic
[ "ProbabilityTheory.IsGaussian.memLp_id", "Eq.mpr", "Real", "MeasureTheory.Measure", "CompleteSpace", "NormedSpace", "congrArg", "NormedAddCommGroup.toMetricSpace", "AddCommGroup.toAddCommMonoid", "SecondCountableTopology", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Function...
true
Mathlib.Tactic.ITauto.Proof.orInR
Mathlib.Tactic.ITauto
[ "Mathlib.Tactic.ITauto.Proof", "Mathlib.Tactic.ITauto.Proof.orInR" ]
true
CategoryTheory.SimplicialObject.Splitting.fromNondegComplex_toNondegComplex_assoc
Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject
[ "CategoryTheory.Category.assoc", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddRightCancelSemigroup.toAddSemigroup", "CategoryTheory.SimplicialObject.Splitting", "AddCancelMonoid.toAddRightCancelMonoid", ...
true
_private.Mathlib.RingTheory.AdicCompletion.Completeness.0.AdicCompletion.ofValEqZero._proof_7
Mathlib.RingTheory.AdicCompletion.Completeness
[ "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Eq" ]
false
Set.finite_iff_bddAbove
Mathlib.Order.Interval.Finset.Defs
[ "Iff.mpr", "Finset", "Set.Finite.mem_toFinset", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Set.Finite", "OrderBot", "Membership.mem", "_private.Mathlib.Order.Interval.Finset.Defs.0.Set.finite_iff_bddAbove.match_1_1", "id", "upperBounds", "Set.Finite.subset", "Bot.bot", ...
true
Representation.Equiv.trans_apply
Mathlib.RepresentationTheory.Intertwining
[ "Monoid", "Representation", "Representation.Equiv.trans", "Representation.Equiv.instEquivLike", "AddCommMonoid", "Representation.Equiv", "Semiring", "Module", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
banach_steinhaus_iSup_nnnorm
Mathlib.Analysis.Normed.Operator.BanachSteinhaus
[ "WithSeminorms.banach_steinhaus", "Norm.norm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Equicontinuous", "Real.instLE", "Real", "ENNReal.ofNNReal", "Preorder.toLT", "CompleteSpace", "SeminormedAddCommGroup", "NormedSpace.toIsBoundedSMul", "HMul.hMul", "UniformContinuousConstSMul.t...
true
RootPairing.EmbeddedG2.threeShortAddLongRoot
Mathlib.LinearAlgebra.RootSystem.Finite.G2
[ "CommRing", "RootPairing.EmbeddedG2.threeShortAddLong", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "Function.Embedding", "CommRing.toCommSemiring", "RootPairing.root", "Module", "Function.instFunLikeEmbedding", "DFunLike.coe", "RootPairing.EmbeddedG2", "RootPa...
true
CategoryTheory.Presheaf.instPreservesFiniteProductsOppositeObjFunctorIsSheafCoherentTopology
Mathlib.CategoryTheory.Sites.Coherent.SheafComparison
[ "CategoryTheory.Functor", "CategoryTheory.Preregular", "Opposite", "CategoryTheory.Presheaf.isSheaf_iff_preservesFiniteProducts", "CategoryTheory.FinitaryExtensive", "CategoryTheory.Functor.category", "CategoryTheory.ObjectProperty.FullSubcategory.property", "CategoryTheory.Presheaf.isSheaf_coherent_i...
true
CategoryTheory.Limits.PullbackCone.unopOpIso
Mathlib.CategoryTheory.Limits.Shapes.Opposites.Pullbacks
[ "CategoryTheory.Limits.PullbackCone.unopOpIso._proof_2", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op", "Quiver.Hom.unop", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory...
true
BoundedContinuousFunction.toContinuousMapₐ._proof_4
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "NormedRing.toRing", "HMul.hMul", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "BoundedContinuousFunction.C._proof_3", "IsTopologicalSemiring.toContinuousMul", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "ContinuousMap", "AddGroupWithOne.toAddMonoidWithOne", "Pseudo...
false
Lean.Meta.UnificationConstraint.mk.sizeOf_spec
Lean.Meta.UnificationHint
[ "Lean.Meta.UnificationConstraint.mk", "Lean.Meta.UnificationConstraint._sizeOf_inst", "Lean.Expr", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "OfNat.ofNat", "Eq", "Lean.Expr._sizeOf_inst", "Lean.Meta.UnificationConstraint" ]
true
instUniqueEmbOfIsPurelyInseparable._proof_1
Mathlib.FieldTheory.PurelyInseparable.Basic
[ "IsDomain.to_noZeroDivisors", "Field.toSemifield", "instIsDomain", "Monoid.toPow", "Semifield.toDivisionSemiring", "MonoidWithZero.toMulZeroOneClass", "AlgebraicClosure.instField", "DivisionSemiring.toSemiring", "MulZeroOneClass.toMulZeroClass", "AlgebraicClosure", "Field", "MonoidWithZero.toM...
false
HomologicalComplex.cylinder.homotopy₀₁._proof_1
Mathlib.Algebra.Homology.HomotopyCofiber
[ "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "DecidableRel", "HomologicalComplex", "CategoryTheory.Limits.HasBinaryBiproduct", "HomologicalComplex.cylinder.ι₀", "HomologicalComplex.cylinder.ι₁", "ComplexShape", "HomologicalComplex.cylinde...
false
Lean.Elab.ContextInfo.mk.sizeOf_spec
Lean.Elab.InfoTree.Types
[ "Lean.Elab.CommandContextInfo", "Option._sizeOf_inst", "Lean.Expr", "Lean.Elab.ContextInfo.mk", "instOfNatNat", "Lean.Elab.ContextInfo", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.Elab.CommandContextInfo._sizeOf_inst", "Nat", "SizeOf.sizeOf", "in...
true
CategoryTheory.GrothendieckTopology.Point.skyscraperPresheafHomEquiv
Mathlib.CategoryTheory.Sites.Point.Skyscraper
[ "CategoryTheory.GrothendieckTopology.Point.skyscraperPresheafHomEquiv._proof_3", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.GrothendieckTopology.Point.skyscraperPresheafHomEquiv._proof_8", "Opposite", "CategoryTheory.GrothendieckTopology.Point.toPresheafFiber", "CategoryTheor...
true
sup_inf_left
Mathlib.Order.Lattice
[ "Lattice.toSemilatticeSup", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "SemilatticeInf.toMin", "le_sup_inf", "le_antisymm", "DistribLattice", "Max.max", "sup_inf_le", "Eq", "Min.min", "Lattice.toSemilatticeInf" ]
true
_private.Mathlib.Data.Subtype.0.Subtype.coe_eq_iff._proof_1_1
Mathlib.Data.Subtype
[ "HEq.refl", "Eq.rec", "Subtype", "True", "eq_true", "of_eq_true", "eq_of_heq", "HEq", "Eq.symm", "Subtype.val", "Eq", "Eq.trans", "Subtype.property" ]
false
OrderMonoidHom.casesOn
Mathlib.Algebra.Order.Hom.Monoid
[ "MulOne.toOne", "OrderMonoidHom", "MonoidHom", "OrderMonoidHom.mk", "Monotone", "MulOneClass.toMulOne", "OneHom.toFun", "OrderMonoidHom.rec", "MonoidHom.toOneHom", "MulOneClass", "Preorder" ]
false
CategoryTheory.RetractArrow.unop
Mathlib.CategoryTheory.Retract
[ "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Arrow.Hom.right", "Quiver.Hom.unop", "CategoryTheory.Arrow.left", "CategoryTheory.Retract.i", "CategoryTheory.RetractArrow.unop._proof_3", "CategoryTheory.instCategoryArrow", "CategoryTheory.Re...
true
Mathlib.Command.MinImports.isInitImport
Mathlib.Tactic.MinImports
[ "Inhabited.default", "instInhabitedBool", "Bool", "Lean.Name" ]
true
Lean.Expr.CollectLooseBVars.State.bvars._default
Lean.Util.CollectLooseBVars
[ "Std.HashSet", "id", "instHashableNat", "instBEqOfDecidableEq", "Nat", "instDecidableEqNat", "EmptyCollection.emptyCollection", "Std.HashSet.instEmptyCollection" ]
false
Lean.Compiler.LCNF.Ownedness.borrow.sizeOf_spec
Lean.Compiler.LCNF.PropagateBorrow
[ "Lean.Compiler.LCNF.Ownedness", "Lean.Compiler.LCNF.Ownedness.borrow", "instOfNatNat", "Nat", "SizeOf.sizeOf", "Lean.Compiler.LCNF.Ownedness._sizeOf_inst", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
Array.insertIdx_comm._proof_5
Init.Data.Array.InsertIdx
[ "Eq.mpr", "Array.insertIdx", "congrArg", "Array.size_insertIdx", "id", "instOfNatNat", "LE.le", "instLENat", "_private.Init.Data.Array.InsertIdx.0.Array.insertIdx_comm._proof_4", "Array", "instHAdd", "HAdd.hAdd", "Nat", "Decidable.byContradiction", "instAddNat", "OfNat.ofNat", "Eq", ...
false
HomotopicalAlgebra.ModelCategory.instIsWeakFactorizationSystemTrivialCofibrationsFibrations
Mathlib.AlgebraicTopology.ModelCategory.Basic
[ "CategoryTheory.HasLiftingProperty", "HomotopicalAlgebra.mem_trivialCofibrations_iff", "HomotopicalAlgebra.fibrations", "CategoryTheory.MorphismProperty.IsWeakFactorizationSystem.mk'", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomotopicalAlgebra.fibration_iff", "congrArg", "Homotopica...
true
Aesop.instInhabitedSubstitution
Aesop.Forward.Substitution
[ "Aesop.Substitution", "Aesop.instInhabitedSubstitution.default", "Inhabited", "Inhabited.mk" ]
true
_private.Init.Data.String.Lemmas.Order.0.String.Slice.Pos.ofSliceTo_next._simp_1_2
Init.Data.String.Lemmas.Order
[ "String.instLEPos_1", "String.Slice.Pos.ofSliceTo", "String.Slice", "LE.le", "String.Slice.Pos.sliceTo", "propext", "String.Slice.Pos", "String.Slice.Pos.ofSliceTo_le_iff", "Eq", "String.Slice.sliceTo" ]
false
_private.Mathlib.RingTheory.SimpleRing.Field.0.IsSimpleRing.isField_center._simp_1_4
Mathlib.RingTheory.SimpleRing.Field
[ "Set.mem_range", "Membership.mem", "Exists", "propext", "Set.range", "Eq", "Set.instMembership", "Set" ]
false
CategoryTheory.Endofunctor.Coalgebra.Hom.comp._proof_2
Mathlib.CategoryTheory.Endofunctor.Algebra
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Endofunctor.Coalgebra.str", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Endofunctor.Coalgebra.Hom.h_assoc", "CategoryTheory.Endofunctor.Coalgebra.Hom", "CategoryTheory.Endofunctor.Coalg...
false
_private.Mathlib.RingTheory.Jacobson.Ideal.0.Ideal.IsLocal.mem_jacobson_or_exists_inv.match_1_1
Mathlib.RingTheory.Jacobson.Ideal
[ "Semigroup.toMul", "CommRing", "Dvd.dvd", "HMul.hMul", "CommSemiring.toNonUnitalCommSemiring", "semigroupDvd", "SemigroupWithZero.toSemigroup", "NonUnitalSemiring.toSemigroupWithZero", "NonUnitalCommSemiring.toNonUnitalSemiring", "CommRing.toCommSemiring", "Exists.casesOn", "Exists.intro", "...
false
LieAlgebra.Prod.instLieAlgebra
Mathlib.Algebra.Lie.Prod
[ "LieAlgebra.toModule", "CommRing", "LieAlgebra.mk", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieRing", "CommRing.toCommSemiring", "LieAlgebra.Prod.instLieAlgebra._proof_1", "LieAlgebra.Prod.instLieRing", "LieAlgebra", "Prod", "Prod.instModule" ]
true
LinearEquiv.isPrincipal_iff
Mathlib.LinearAlgebra.Span.Defs
[ "LinearEquiv.symm", "Module.IsPrincipal", "LinearEquiv.surjective", "Module.IsPrincipal.of_surjective", "AddCommMonoid", "Iff", "LinearEquiv.toLinearMap", "RingHomInvPair.ids", "LinearEquiv", "Iff.intro", "Semiring", "Module", "RingHom.id", "Semiring.toNonAssocSemiring" ]
true
HomotopicalAlgebra.PrepathObject.ι_p₁_assoc
Mathlib.AlgebraicTopology.ModelCategory.PathObject
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "HomotopicalAlgebra.PrepathObject.P", "HomotopicalAlgebra.PrepathObject.p₁", "congr", "CategoryTheory.Ca...
true
_private.Mathlib.AlgebraicGeometry.Restrict.0.AlgebraicGeometry.Scheme.Opens.instIsOpenImmersionι._proof_1
Mathlib.AlgebraicGeometry.Restrict
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder", "CommRingCat", "TopCat.instCategory", "PartialOrder.toPreorder", "TopologicalSpace.Opens", "CommRingCat.instCategory", "Preorder.smallCategory", "AlgebraicGeometry.Scheme.Opens.toSch...
false
Algebra.Generators.cotangentCompLocalizationAwayEquiv_symm_comp_inl
Mathlib.RingTheory.Extension.Cotangent.LocalizationAway
[ "LinearMap.id", "Algebra.Generators.cotangentCompAwaySec", "Algebra.Generators.toComp", "LinearEquiv.symm", "CommRing", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Equiv.instEquivLike", "Algebra.Extension.instModuleCotangent", "IsScalarTower...
true
DirichletCharacter.unit_norm_eq_one
Mathlib.NumberTheory.DirichletCharacter.Bounds
[ "NormedCommRing.toNormedRing", "Norm.norm", "Units.val", "SeminormedAddGroup.toNorm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "MulOne.toOne", "SeminormedRing.toNorm", "Real.partialOrder", "Real", "InvOneClass.toOne", "NormedRing.toRing", "ZMod.commRing", "DivInvOneMonoid.toInvOneC...
true
IsAlgClosed.roots_eq_zero_iff
Mathlib.FieldTheory.IsAlgClosed.Basic
[ "WithBot.instPreorder", "Eq.mpr", "Polynomial.C", "False", "Nat.instMulZeroClass", "WithBot", "Polynomial.roots", "Preorder.toLT", "Multiset.notMem_zero._simp_1", "congrArg", "CommSemiring.toSemiring", "Polynomial.IsRoot", "Polynomial.ne_zero_of_degree_gt", "False.elim", "PartialOrder.to...
true
_private.Mathlib.Data.Finset.Prod.0.Finset.product_image_snd._simp_1_1
Mathlib.Data.Finset.Prod
[ "Finset.mem_image", "Finset", "Membership.mem", "Exists", "And", "Finset.instSetLike", "propext", "Eq", "Finset.image", "SetLike.instMembership", "DecidableEq" ]
false
Lean.Meta.Ext.ExtTheorems.erased
Lean.Meta.Tactic.Ext
[ "Lean.Meta.Ext.ExtTheorems", "Lean.PHashSet", "Lean.Name", "Lean.Name.instBEq", "Lean.instHashableName" ]
true
Ideal.radical_minimalPrimes
Mathlib.RingTheory.Ideal.MinimalPrime.Basic
[ "Iff.mpr", "Set.ext", "Eq.mpr", "Semiring.toModule", "Ideal.minimalPrimes", "congrArg", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "_private.Mathlib.RingTheory.Ideal.MinimalPrime.Basic.0.Ideal.radical_minimalPrimes._simp_1_2", "setOf", "Preorder.toLE", "Membership.mem", "Eq.mp", ...
true
AddSubgroup.quotientEquivProdOfLE
Mathlib.GroupTheory.Coset.Basic
[ "AddSubgroup.quotientEquivProdOfLE._proof_1", "AddSubgroup.quotientEquivProdOfLE'", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "AddSubgroup.toAddGroup", "Membership.mem", "Equiv", "Subtype", "Quotient.out", "LE.le", "AddSubgroup", "HasQuotient.Quotient", "A...
true
Set.Subsingleton.isDiscrete
Mathlib.Topology.DiscreteSubset
[ "Iff.mpr", "DiscreteTopology", "Membership.mem", "inferInstance", "Set.Elem", "TopologicalSpace", "IsDiscrete.mk", "IsDiscrete", "Set.Subsingleton", "Set.subsingleton_coe", "Subsingleton.discreteTopology", "Subsingleton", "instTopologicalSpaceSubtype", "Set.instMembership", "Set" ]
true
_private.Mathlib.Topology.Order.IntermediateValue.0.isTotallyDisconnected_iff_lt._simp_1_2
Mathlib.Topology.Order.IntermediateValue
[ "OrderTopology", "isPreconnected_iff_ordConnected", "Preorder.toLT", "PartialOrder.toPreorder", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "TopologicalSpace", "propext", "Set.OrdConnected", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompleteLattice...
false
_private.Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular.0.Matrix.IsTotallyUnimodular.fromRows_unitlike._simp_1_1
Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular
[ "Sum.isRight", "Exists", "Sum", "Bool.true", "Sum.isRight_iff", "Sum.inr", "propext", "Bool", "Eq.symm", "Eq" ]
false
Mathlib.Tactic.Widget.StringDiagram.Node.rec
Mathlib.Tactic.Widget.StringDiagram
[ "Mathlib.Tactic.Widget.StringDiagram.AtomNode", "Mathlib.Tactic.Widget.StringDiagram.IdNode", "Mathlib.Tactic.Widget.StringDiagram.Node.id", "Mathlib.Tactic.Widget.StringDiagram.Node.atom", "Mathlib.Tactic.Widget.StringDiagram.Node" ]
false
Lean.Compiler.LCNF.Code.unreach.injEq
Lean.Compiler.LCNF.Basic
[ "Lean.Compiler.LCNF.Code.unreach", "Eq.propIntro", "Lean.Compiler.LCNF.Code.unreach.inj", "Lean.Expr", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Code", "Eq.ndrec", "Eq.refl", "Eq" ]
true
RelIso.sumLexCongr._proof_1
Mathlib.Order.RelIso.Basic
[ "False", "RelIso.casesOn", "Equiv.instEquivLike", "RelIso.mk", "Sum.lex_inr_inr._simp_1", "congrArg", "Sum.lex_inl_inl._simp_1", "Sum.casesOn", "Sum", "Equiv", "Sum.inl", "Sum.lex_inr_inl._simp_1", "iff_self", "RelIso", "Iff", "Equiv.sumCongr", "Sum.inr", "congr", "True", "Sum....
false
MulAction.mem_fixedPoints'
Mathlib.GroupTheory.GroupAction.Defs
[ "Monoid", "instHSMul", "MulAction.mem_orbit_iff", "Membership.mem", "Exists", "Eq.rec", "MulAction.orbit", "Iff", "MulAction", "_private.Mathlib.GroupTheory.GroupAction.Defs.0.MulAction.mem_fixedPoints'.match_1_1", "Iff.intro", "MulAction.mem_orbit", "Iff.mp", "Monoid.toSemigroup", "HSMu...
true
Algebra.Extension.cotangentEquiv._proof_4
Mathlib.RingTheory.Extension.Basic
[ "CommRing", "CommSemiring.toSemiring", "RingHomInvPair", "CommRing.toCommSemiring", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
SimpleGraph.Subgraph.IsInduced
Mathlib.Combinatorics.SimpleGraph.Subgraph
[ "SimpleGraph.Subgraph", "SimpleGraph.Adj", "Membership.mem", "SimpleGraph", "SimpleGraph.Subgraph.Adj", "Set.instMembership", "SimpleGraph.Subgraph.verts", "Set" ]
true
Std.DTreeMap.Internal.Zipper.toList
Std.Data.DTreeMap.Internal.Zipper
[ "Std.DTreeMap.Internal.Zipper.brecOn", "Std.DTreeMap.Internal.Zipper", "List", "Sigma", "Std.DTreeMap.Internal.Zipper.toList._f" ]
true
MeromorphicOn.divisor_fun_mul
Mathlib.Analysis.Meromorphic.Divisor
[ "NormedCommRing.toSeminormedCommRing", "HMul.hMul", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "MeromorphicOn.divisor", "meromorphicOrderAt", "MeromorphicOn", "Ne", "Int", "NormedCommRing.toNonUnitalNormedCommRing", "Field.toSemifield", "instDistribOfSemirin...
true
Rat.num_natCast
Init.Data.Rat.Lemmas
[ "Rat.num", "Rat", "Int", "Nat.cast", "Nat", "instNatCastInt", "Eq", "rfl", "Rat.instNatCast" ]
true
_private.Mathlib.Data.Multiset.DershowitzManna.0.Multiset.isDershowitzMannaLT_of_transGen_oneStep
Mathlib.Data.Multiset.DershowitzManna
[ "Eq.mpr", "False", "Multiset.singleton_ne_zero._simp_1", "Preorder.toLT", "Relation.TransGen.trans_induction_on", "congrArg", "Multiset.mem_singleton._simp_1", "Membership.mem", "Exists", "Multiset", "id", "Ne", "Multiset.instSingleton", "And.casesOn", "Multiset.IsDershowitzMannaLT.trans...
true
MeasureTheory.SimpleFunc.piecewise_univ
Mathlib.MeasureTheory.Function.SimpleFunc
[ "congrArg", "Set.univ", "Classical.propDecidable", "MeasureTheory.SimpleFunc", "Membership.mem", "MeasureTheory.SimpleFunc.instFunLike", "MeasurableSpace", "Set.piecewise_univ", "True", "eq_self", "of_eq_true", "congrFun'", "MeasureTheory.SimpleFunc.coe_injective", "Eq", "Set.instMembers...
true
Std.DHashMap.Raw.get!_alter
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.get!.congr_simp", "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.DHashMap.Internal.Raw₀.get?", "dite_congr", "congrArg", "Std.DHashMap.Raw", "Std.DHashMap.Raw.alter", "cast", "LawfulBEq", "id", "instDecidableEqBool", "Option.get!", "instOfNatNat", "Std.DHashMap.Raw.WF.size_bucke...
true
_private.Std.Data.DTreeMap.Internal.Operations.0.Std.DTreeMap.Internal.Impl.alter._proof_5
Std.Data.DTreeMap.Internal.Operations
[ "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", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt", "Int.sub_nonne...
false
AffineIsometryEquiv.coe_mk'
Mathlib.Analysis.Normed.Affine.Isometry
[ "LinearIsometryEquiv.instEquivLike", "AffineIsometryEquiv.instEquivLike", "SeminormedAddCommGroup", "NormedSpace", "AddMonoid.toAddSemigroup", "AffineIsometryEquiv.mk'", "NormedSpace.toModule", "AddCommGroup.toAddGroup", "NormedField.toField", "AffineIsometryEquiv", "Field.toSemifield", "AddTo...
true
CategoryTheory.Limits.WalkingReflexivePair.rec
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "CategoryTheory.Limits.WalkingReflexivePair.zero", "CategoryTheory.Limits.WalkingReflexivePair.one", "CategoryTheory.Limits.WalkingReflexivePair" ]
false
Std.HashSet.Raw.noConfusion
Std.Data.HashSet.Raw
[ "HEq.refl", "Std.HashSet.Raw.casesOn", "Std.HashMap.Raw", "Unit", "eq_of_heq", "Eq.ndrec", "HEq", "Std.HashSet.Raw.noConfusionType", "Eq", "Std.HashSet.Raw" ]
false
HomotopicalAlgebra.Precylinder.op._proof_1
Mathlib.AlgebraicTopology.ModelCategory.PathObject
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "HomotopicalAlgebra.Precylinder.I", "Quiver.Hom.unop", "HomotopicalAlgebra.Precylinder.π", "CategoryTheory.CategoryStruct.id", "HomotopicalAlgebra.Precylinder.i₀_π", "HomotopicalAlgebra.Precylinder",...
false
Concept.isUpperSet_intent_le._simp_1
Mathlib.Order.Concept
[ "IsUpperSet", "Preorder.toLE", "Concept.intent", "LE.le", "Concept.isUpperSet_intent_le", "Concept", "True", "eq_true", "Eq", "Preorder" ]
false
Nat.sq_mul_squarefree_of_pos'
Mathlib.Data.Nat.Squarefree
[ "Eq.mpr", "Nat.sq_mul_squarefree_of_pos", "HMul.hMul", "Nat.succ_pred_eq_of_pos", "congrArg", "Nat.instMonoid", "Exists", "id", "instMulNat", "instOfNatNat", "Monoid.toPow", "And.casesOn", "instHAdd", "And", "Exists.casesOn", "HPow.hPow", "HAdd.hAdd", "Nat", "And.intro", "congr...
true
Bialgebra.TensorProduct.assoc._proof_4
Mathlib.RingTheory.Bialgebra.TensorProduct
[ "TensorProduct.instBialgebra._proof_6", "IsScalarTower.to_smulCommClass'", "TensorProduct.leftHasSMul", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "Algebra.toSMul", "Algebra.toModule", "Algebra.id", "IsScalarTower.left", "TensorProduct.instBialgebra._proof_7", "CommSemiring", "No...
false
BoxIntegral.TaggedPrepartition.distortion_le_of_mem
Mathlib.Analysis.BoxIntegral.Partition.Tagged
[ "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "BoxIntegral.Box.distortion", "NNReal.instSemilatticeSup", "BoxIntegral.TaggedPrepartition.toPrepartition", "BoxIntegral.TaggedPrepartition.instMembershipBox", "NNReal", "LE.le", "BoxIntegral.Prepartition.boxes", "NNReal.instPartialOr...
true
instZeroLieSubalgebra
Mathlib.Algebra.Lie.Subalgebra
[ "LieAlgebra.toModule", "Submodule", "CommRing", "LieRing.toAddCommGroup", "Submodule.toAddSubmonoid", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid.toAddSubsemigroup", ...
true
CategoryTheory.Limits.WalkingReflexivePair.Hom.rightCompReflexion.elim
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "PULift.up", "CategoryTheory.Limits.WalkingReflexivePair.one", "CategoryTheory.Limits.WalkingReflexivePair.Hom.ctorElim", "CategoryTheory.Limits.WalkingReflexivePair.Hom.ctorIdx", "CategoryTheory.Limits.WalkingReflexivePair.Hom.rightCompReflexion", "Nat", "CategoryTheory.Limits.WalkingReflexivePair.Hom"...
false
CategoryTheory.Functor.LeftExtension.postcompose₂_obj_hom_app
Mathlib.CategoryTheory.Functor.KanExtension.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Functor.LeftExtension", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "Categor...
true
Fin.reduceCastLT._regBuiltin.Fin.reduceCastLT.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin.3768712919._hygCtx._hyg.16
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Fin
[ "IO", "Bool.true", "Unit", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.addSimprocBuiltinAttr", "Fin.reduceCastLT", "Lean.Meta.Simp.Simproc" ]
false
_private.Lean.Elab.Print.0.Lean.Elab.Command.levelParamsToMessageData
Lean.Elab.Print
[ "Pure.pure", "Lean.MessageData", "Std.instToFormatString", "instForInOfForIn'", "Monad.toApplicative", "String", "Lean.MessageData.instAppend", "Function.comp", "inferInstance", "ForIn.forIn", "Id.run", "Lean.MessageData.ofFormat", "Id", "Applicative.toPure", "Membership", "ForInStep",...
true
Mathlib.Tactic.Bicategory.structuralIsoOfExpr_whiskerRight
Mathlib.Tactic.CategoryTheory.Bicategory.Datatypes
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.Iso", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory", "congrFun", "True", "eq_self", "CategoryTheory.CategoryStruct.comp", "of_eq_true", "C...
true
_private.Mathlib.Analysis.Complex.UpperHalfPlane.ProperAction.0.UpperHalfPlane.σ_eventuallyEq._simp_1_3
Mathlib.Analysis.Complex.UpperHalfPlane.ProperAction
[ "Nontrivial", "Units.val", "False", "eq_false", "Units", "Units.ne_zero", "MonoidWithZero", "MonoidWithZero.toMulZeroOneClass", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.toZero" ]
false
LinearEquiv.image_closure_of_convex
Mathlib.Analysis.LocallyConvex.WeakSpace
[ "Set.image_image", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "LinearEquiv.symm", "Real", "LinearMap.restrictScalars", "Continuous", "Semiring.toModule", "RCLike.toNormedAlgebra", "ChainCompletePartialOrder.instOfCompleteLattice", "ContinuousSMul", "congrArg", "C...
true
Affine.Simplex.sign_signedInfDist_lineMap_incenter_touchpoint
Mathlib.Geometry.Euclidean.Incenter
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Nat.instMulZeroClass", "Real", "Semiring.toModule", "AffineMap.instFunLike", "Real.instZero", "Real.instRCLike", "AddGroupWithOne.toAddGroup", "Finset", "NormedSpace.toModule", "PartialOrder.toPreorder", "AffineMap.li...
true
_private.Lean.Elab.App.0.Lean.Elab.Term.addLValArg._proof_11
Lean.Elab.App
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Subarray", "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
CategoryTheory.Limits.Bicones.functoriality_obj_pt
Mathlib.CategoryTheory.Limits.Shapes.Biproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.Bicones.functoriality", "CategoryTheory.Limits.Bicone.pt", "Function.comp", "CategoryTheory.Limits.Bicone.category", "Eq.refl", "CategoryTheory.Limits.Bicone", "Eq", "CategoryTheory.Functor.obj", "Category...
true
_private.Lean.MetavarContext.0.Lean.MetavarContext.MkBinding.visit._unsafe_rec
Lean.MetavarContext
[ "Pure.pure", "Lean.MetavarContext.MkBinding.instMonadHashMapCacheAdapterExprStructEqExprM", "Bool.not", "EStateM.instMonad", "Lean.Expr.hasMVar", "ReaderT.instMonad", "Lean.Expr", "Lean.MetavarContext.MkBinding.State", "instDecidableEqBool", "Applicative.toPure", "Lean.MetavarContext.MkBinding.M...
false
Aesop.BestFirstQueue.ActiveGoal.mk
Aesop.Search.Queue
[ "Aesop.GoalRef", "Aesop.Iteration", "Aesop.Percent", "Aesop.BestFirstQueue.ActiveGoal.mk", "Aesop.BestFirstQueue.ActiveGoal" ]
true
SMulMemClass.toModule'
Mathlib.Algebra.Module.Submodule.Defs
[ "SetLike", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "SMulMemClass", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "Subtype", "DistribSMul.toSMulZeroClass", "AddSubmonoidClass.toAddCommMonoid", "SMulMemClass.toModule", "NonUni...
true