name
string
module
string
deps
list
allowCompletion
bool
WType._sizeOf_1
Mathlib.Data.W.Basic
[ "WType", "instOfNatNat", "WType.rec", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "SizeOf", "OfNat.ofNat" ]
false
Submodule.IsAssociatedPrime.recOn
Mathlib.RingTheory.Ideal.AssociatedPrime.Basic
[ "Submodule", "Submodule.colon", "Submodule.IsAssociatedPrime.mk", "CommSemiring.toSemiring", "Submodule.IsAssociatedPrime", "Exists", "Set.instSingletonSet", "Ideal", "AddCommMonoid", "CommSemiring", "Ideal.IsPrime", "Module", "Singleton.singleton", "Submodule.IsAssociatedPrime.rec", "Eq...
false
Std.instDecidableEqRci
Init.Data.Range.Polymorphic.PRange
[ "Std.Rci", "Std.instDecidableEqRci.decEq", "DecidableEq" ]
true
FourierInvModule._sizeOf_inst
Mathlib.Analysis.Fourier.Notation
[ "outParam", "SMul", "FourierInvModule", "SizeOf.mk", "FourierInvModule._sizeOf_1", "SizeOf", "Add" ]
false
Function.LeftInverse.rightInverse_of_surjective
Mathlib.Logic.Function.Basic
[ "Function.LeftInverse", "_private.Mathlib.Logic.Function.Basic.0.Function.LeftInverse.rightInverse_of_surjective.match_1_1", "Exists", "Eq.rec", "congr_arg", "Function.RightInverse", "Eq", "Function.Surjective" ]
true
CochainComplex.HomComplex.Cocycle.equivHom_apply
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "HomologicalComplex.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "AddGroupWithOne.toAddMonoidWithOne", "CochainComplex.HomComplex.instAddCommGroupCocycle", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "I...
true
Lean.Parser.Term.doSeqItem
Lean.Parser.Do
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "Lean.Parser.optional", "instHAndThenOfAndThen", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Unit", "Lean.Parser.doElemParser", "Nat", "Lean.Parser.ppLine", "Lean.Parser.withCache", ...
true
_private.Lean.PrivateName.0.Lean.privatePrefixAux._unsafe_rec
Lean.PrivateName
[ "_private.Lean.PrivateName.0.Lean.privatePrefixAux._unsafe_rec", "String", "Lean.Name", "_private.Lean.PrivateName.0.Lean.isPrivatePrefix.go.match_1" ]
false
Valuation.instLinearOrderedCommGroupWithZeroMrange._aux_10
Mathlib.RingTheory.Valuation.Archimedean
[ "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "GroupWithZero.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "ValuationClass.toMonoidWithZeroHomClass", "MonoidWithZeroHom.funLike", "DivisionSemiring.toGroupWithZero", "Membership.mem", "Divi...
false
_private.Lean.Meta.Tactic.Grind.Proof.0.Lean.Meta.Grind.mkHCongrProof'._unsafe_rec
Lean.Meta.Tactic.Grind.Proof
[ "Lean.Meta.Grind.GrindM", "Lean.mkAppN", "Lean.Meta.Grind.Goal", "Lean.Meta.Grind.State", "ReaderT", "instMonadControlTOfPure", "String", "Lean.Meta.Sym.isSameExpr", "Lean.Meta.State", "Lean.Meta.CongrTheorem", "Lean.Meta.Grind.instInhabitedGoalM", "instMonadLiftT", "Lean.Meta.Sym.Context", ...
false
BooleanSubalgebra.map._proof_3
Mathlib.Order.BooleanSubalgebra
[ "BooleanAlgebra", "BooleanSubalgebra", "SupClosed.image", "Lattice.toSemilatticeSup", "SupBotHomClass.toSupHomClass", "BoundedLatticeHom.instFunLike", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "BooleanAlgebra.toBoundedOrder", "SemilatticeSup...
false
real_inner_I_smul_self
Mathlib.Analysis.InnerProductSpace.Basic
[ "Norm.norm", "InnerProductSpace.toNormedSpace", "Real", "instHSMul", "SeminormedAddCommGroup", "HMul.hMul", "AddMonoid.toAddSemigroup", "Inner.inner", "sub_self", "Real.instZero", "Real.instAddMonoid", "inner_self_eq_norm_sq_to_K", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGr...
true
Lean.Meta.DSimp.ConfigWithOptions._sizeOf_1
Lean.Elab.Tactic.Simp
[ "Lean.Meta.DSimp.Config._sizeOf_inst", "Lean.Meta.DSimp.ConfigWithOptions.rec", "instOfNatNat", "Lean.Meta.DSimp.Config", "Lean.Meta.DSimp.ConfigWithOptions", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "OfNat.ofNat", "Lean.Options", "Lean.Options._sizeOf_inst" ]
false
CategoryTheory.sectionsFunctorNatIsoCoyoneda
Mathlib.CategoryTheory.Yoneda
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Unique", "CategoryTheory.Functor.category", "Set.Elem", "CategoryTheory.Iso", "CategoryTheory.sectionsFunctorNatIsoCoyoneda._proof_1", "Equiv.toIso", "Opposite.op", "Cate...
true
WithOne
Mathlib.Algebra.Group.WithOne.Defs
[ "Option" ]
true
AddOpposite.unop_sub
Mathlib.Algebra.Group.Opposite
[ "AddMonoid.toAddZeroClass", "HSub.hSub", "SubNegMonoid", "AddZeroClass.toAddZero", "AddOpposite", "SubNegMonoid.toSub", "instHAdd", "instHSub", "HAdd.hAdd", "SubNegMonoid.toNeg", "AddZero.toAdd", "AddOpposite.unop", "SubNegMonoid.toAddMonoid", "Eq", "Neg.neg", "rfl", "AddOpposite.ins...
true
Representation.free
Mathlib.RepresentationTheory.Basic
[ "Monoid", "Representation", "Semiring.toModule", "Finsupp.module", "CommSemiring.toSemiring", "Finsupp.instAddCommMonoid", "CommSemiring", "Representation.finsupp", "Finsupp.instZero", "Representation.leftRegular", "Semiring.toAddCommMonoid", "Finsupp", "MulZeroClass.toZero", "instMulZeroC...
true
Std.ExtHashMap.get?.congr_simp
Std.Data.ExtHashMap.Lemmas
[ "Eq.rec", "LawfulHashable", "Std.ExtHashMap", "Std.ExtHashMap.get?", "EquivBEq", "Eq.refl", "Hashable", "BEq", "Eq", "Option" ]
true
CategoryTheory.functorialSurjectiveInjectiveFactorizationData._proof_6
Mathlib.CategoryTheory.MorphismProperty.Concrete
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Arrow.Hom.right", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.mk", "Subtype.casesOn", "TypeCat.instFunLikeFun", "Exists", "Eq.rec", "CategoryTheory.Arrow.left", "TypeCat.ofHom", "Subtype", "CategoryThe...
false
_private.Mathlib.Combinatorics.SimpleGraph.Connectivity.Subgraph.0.SimpleGraph.Walk.IsPath.neighborSet_toSubgraph_internal._proof_1_1
Mathlib.Combinatorics.SimpleGraph.Connectivity.Subgraph
[ "Int.Linear.eq_of_core", "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "False", "HMul.hMul", "Int.Linear.norm_le", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Lean.Grind.Semiring.mul_one", "Int.Linear.le_unsat", "Int.Linear.le_neg", "Classical.byContradiction", "HSub.hSu...
false
Lean.Parser.Tactic.Grind.mbtc
Init.Grind.Interactive
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr5", "instOfNatNat", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false" ]
true
_private.Mathlib.Util.Notation3.0.Mathlib.Notation3.mkExprMatcher.match_1
Mathlib.Util.Notation3
[ "Lean.instBEqFVarId", "Lean.FVarId", "Prod.mk", "Std.HashMap", "Lean.instHashableFVarId", "Lean.Name", "Prod", "Prod.casesOn", "Lean.LocalContext" ]
false
Primrec.subtype_val_iff
Mathlib.Computability.Primrec.Basic
[ "Eq.mpr", "Option.casesOn", "Option.some", "Option.encodable", "id", "Subtype", "instOfNatNat", "Primrec", "Option.none", "Option.map", "Iff", "DecidablePred", "Nat", "Primrec.comp", "Iff.intro", "Primcodable.toEncodable", "Primcodable", "Eq.refl", "Encodable.encode", "Encodabl...
true
_private.Lean.Meta.Tactic.Grind.Arith.Simproc.0._regBuiltin.Lean.Meta.Grind.Arith.normNatAddInst.declare_33._@.Lean.Meta.Tactic.Grind.Arith.Simproc.114900174._hygCtx._hyg.16
Lean.Meta.Tactic.Grind.Arith.Simproc
[ "Lean.Name.mkStr5", "IO", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instOfNatNat", "List.toArray", "List.cons", "Unit", "Nat", "Lean.Meta.Simp.registerBuiltinDSimproc", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.Meta.Grind.Arith.normNatAddInst", "Lean.Name.mkStr1", "Lean....
false
Lean.Grind.CommRing.Poly.mulMonC.go
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Poly.mulMonC.go._f", "Int", "Nat", "Lean.Grind.CommRing.Poly.brecOn", "Lean.Grind.CommRing.Mon" ]
true
IndiscreteTopology.eq_top_iff_indiscrete
Mathlib.Topology.UniformSpace.Separation
[ "UniformSpace", "IndiscreteTopology.mk", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "UniformSpace.toTopologicalSpace_top", "PartialOrder.toPreorder", "Preorder.toLE", "TopologicalSpace.instCompleteLattice", "Eq.rec", "CompleteLattice.toBoundedOrder", "IndiscreteTopology.eq_top_unif...
true
LocalizedModule.instSemiring._proof_5
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "Iff.mpr", "add_mul", "Monoid", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Semigroup.toMul", "instHSMul", "instSMulOfMul", "Submonoid.isScalarTower", "Submonoid.mul", "HMul.hMul", "IsScalarTower.right", "LocalizedModule.mk_add_mk", "MulMemClass.toSemigroup", "AddMonoid.toAddSe...
false
Equiv.simpleGraph._proof_1
Mathlib.Combinatorics.SimpleGraph.Maps
[ "Equiv.instEquivLike", "Equiv.symm_comp_self", "congrArg", "Function.comp", "id", "Equiv", "SimpleGraph", "SimpleGraph.comap", "SimpleGraph.comap_id", "True", "eq_self", "of_eq_true", "congrFun'", "Equiv.symm", "Eq", "DFunLike.coe", "Eq.trans", "EquivLike.toFunLike" ]
false
Path.Homotopy.hcomp._proof_8
Mathlib.Topology.Homotopy.Path
[ "Real.instIsOrderedRing", "Path.Homotopy", "Real.partialOrder", "Real", "Continuous", "instHDiv", "Continuous.continuousOn", "HMul.hMul", "Set.Icc.instZero", "Path.Homotopy.hcomp._proof_3", "Path.Homotopy.hcomp._proof_7", "Real.instZero", "Real.instDivInvMonoid", "Real.instSub", "Continu...
false
Std.DHashMap.Raw.Const.all_eq_false_iff_exists_mem_get
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Std.DHashMap.Raw.Const.get", "Std.DHashMap.Raw", "LawfulBEq", "Membership.mem", "Exists", "Std.DHashMap.Raw.Const.all_eq_false_iff_exists_contains_get", "Iff", "Bool", "Hashable", "Bool.false", "BEq", "Eq", "Std.DH...
true
Lean.Elab.Tactic.ElimApp.Result.motive
Lean.Elab.Tactic.Induction
[ "Lean.Elab.Tactic.ElimApp.Result", "Lean.MVarId" ]
true
ModularForm.coe_eq_zero_iff._simp_1
Mathlib.NumberTheory.ModularForms.Basic
[ "ModularForm", "Real", "Matrix", "instDecidableEqFin", "ModularForm.instZero", "Complex.instZero", "Real.semiring", "Pi.instZero", "Subgroup", "instOfNatNat", "Int", "Units.instGroup", "ModularForm.coe_eq_zero_iff", "Fin.fintype", "UpperHalfPlane", "Nat", "Semiring.toMonoid", "prop...
false
VectorPrebundle.continuousOn_coordChange
Mathlib.Topology.VectorBundle.Basic
[ "NormedSpace", "ContinuousLinearMap.topologicalSpace", "AddCommGroup.toAddCommMonoid", "VectorPrebundle.pretrivializationAtlas", "ContinuousLinearMap.funLike", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "Bundle...
true
_private.Mathlib.Topology.Algebra.Module.Spaces.WeakBilin.0.WeakBilin.instIsScalarTower._proof_1
Mathlib.Topology.Algebra.Module.Spaces.WeakBilin
[ "Algebra.to_smulCommClass", "Semiring.toModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "SMul", "AddMonoid.toAddZeroClass", "WeakBilin.instModule'", "AddZeroClass.toAddZero", "Algebra.id", "DistribSMul.toSMulZeroClass", "LinearMap.module", "LinearMap", ...
false
Finset.univ_nontrivial_iff
Mathlib.Data.Finset.BooleanAlgebra
[ "Nontrivial", "Eq.mpr", "Finset.univ", "Finset.coe_univ", "congrArg", "Finset", "Set.univ", "Iff.rfl", "id", "Finset.Nontrivial.eq_1", "Iff", "Fintype", "SetLike.coe", "Finset.instSetLike", "Finset.Nontrivial", "propext", "Set.Nontrivial", "Eq", "Set.nontrivial_univ_iff", "Set"...
true
CategoryTheory.Functor.IsCoverDense.Types.presheafHom_app
Mathlib.CategoryTheory.Sites.DenseSubsite.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.Functor.IsCoverDense", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.IsCoverDense.Types.presheafHom", "CategoryTheo...
true
tendstoLocallyUniformlyOn_iff_tendstoLocallyUniformly_comp_coe
Mathlib.Topology.UniformSpace.LocallyUniformConvergence
[ "_private.Mathlib.Topology.UniformSpace.LocallyUniformConvergence.0.tendstoLocallyUniformlyOn_iff_tendstoLocallyUniformly_comp_coe._simp_1_3", "UniformSpace", "Eq.mpr", "TendstoLocallyUniformlyOn", "SProd.sprod", "congrArg", "Filter.map", "nhdsWithin", "Iff.rfl", "uniformity", "Function.comp", ...
true
_private.Mathlib.ModelTheory.Syntax.0.FirstOrder.Language.Term.varFinsetLeft.match_1.eq_2
Mathlib.ModelTheory.Syntax
[ "FirstOrder.Language.Term.varFinsetLeft.match_1", "FirstOrder.Language.Term", "Sum", "Sum.inl", "FirstOrder.Language.Term.func", "FirstOrder.Language.Term.var", "Sum.inr", "Nat", "FirstOrder.Language.Functions", "Eq.refl", "FirstOrder.Language", "Fin", "Eq" ]
true
Submodule.subtypeₗᵢ_toContinuousLinearMap
Mathlib.Analysis.Normed.Operator.LinearIsometry
[ "Submodule.subtypeL", "Submodule", "SeminormedAddCommGroup", "AddCommGroup.toAddCommMonoid", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "Subtype", "Submodule.module", "ContinuousLinearMap", "SeminormedAddCommGroup.toPseudoMetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "Submo...
true
CategoryTheory.MorphismProperty.pullback_snd_iff
Mathlib.CategoryTheory.MorphismProperty.Descent
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Limits.pullback", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.pullback.snd", "CategoryTheory.MorphismProperty.DescendsAlong", "CategoryTheory.MorphismProperty.iff_of_isPullback", "CategoryTheory.Limits.HasPullback", ...
true
Differential.logDeriv.eq_1
Mathlib.FieldTheory.Differential.Basic
[ "Derivation", "instHDiv", "Semiring.toModule", "CommSemiring.toSemiring", "Field.toDivisionRing", "DivisionRing.toDivInvMonoid", "Differential", "HDiv.hDiv", "Int", "Derivation.instFunLike", "Field.toCommRing", "CommRing.toCommSemiring", "Ring.toAddCommGroup", "Differential.deriv", "Ring...
true
Array.toList_mapFinIdxM
Init.Data.Array.MapIdx
[ "Eq.mpr", "congrArg", "Monad.toApplicative", "LawfulApplicative.toLawfulFunctor", "id", "LawfulMonad", "Array.toList", "List.toArray", "List.mapFinIdxM_toArray", "Array", "List", "Nat", "LT.lt", "True", "eq_self", "List.mapFinIdxM", "id_map'", "of_eq_true", "Applicative.toFunctor...
true
Polynomial.sylveserMap_comp_adjSylvester
Mathlib.RingTheory.Polynomial.Resultant.Basic
[ "LinearMap.id", "Polynomial.degreeLT", "Matrix.smul", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "Polynomial.toMatrix_sylvesterMap'", "Matrix.toLin", "CommRing", "instHSMul", "Semiring.toModule", "instSMulOfMul", "SemilinearMapClass.toMulActionSemiHomClass", "HMul.hMul", "Poly...
true
Polynomial.mahlerMeasure_const
Mathlib.Analysis.Polynomial.MahlerMeasure
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "Polynomial.C", "GroupWithZero.toMonoidWithZero", "instDecidableNot", "NormedCommRing.toSeminormedCommRing", "RingHom.instRingHomClass", "False", "Real", "Complex.instNormedAddCommGroup", "eq_false", "Real.instZero", "congrArg", "Pol...
true
Std.TreeMap.getKey?_map
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.map", "Std.TreeMap.inner", "Ordering", "Std.TransCmp", "Std.TreeMap.getKey?", "Std.DTreeMap.getKey?_map", "Eq", "Std.TreeMap", "Option" ]
true
CategoryTheory.FreeMonoidalCategory.HomEquiv.below.tensorHom_comp_tensorHom
Mathlib.CategoryTheory.Monoidal.Free.Basic
[ "CategoryTheory.FreeMonoidalCategory.HomEquiv", "CategoryTheory.FreeMonoidalCategory.HomEquiv.tensorHom_comp_tensorHom", "CategoryTheory.FreeMonoidalCategory.Hom.tensor", "CategoryTheory.FreeMonoidalCategory", "CategoryTheory.FreeMonoidalCategory.HomEquiv.below", "CategoryTheory.FreeMonoidalCategory.Hom",...
true
_private.Mathlib.Data.Vector3.0.Fin2.insertPerm.match_1.eq_3
Mathlib.Data.Vector3
[ "Fin2.fz", "Fin2.insertPerm.match_1", "instOfNatNat", "Fin2.fs", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Fin2" ]
true
CategoryTheory.RingObjCat.Hom.mk.inj
Mathlib.CategoryTheory.Monoidal.Ring
[ "CategoryTheory.RingObjCat.Hom.mk.noConfusion", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.RingObjCat.Hom.mk", "CategoryTheory.RingObjCat.ringObj", "CategoryTheory.RingObjCat.X", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.RingObjCat"...
true
IsCompact.exists_isGLB
Mathlib.Topology.Order.Compact
[ "IsCompact.exists_isLeast", "lowerBounds", "LinearOrder", "PartialOrder.toPreorder", "IsLeast.isGLB", "Preorder.toLE", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Exists.imp", "ClosedIicTopology", "IsLeast", "TopologicalSpace", "And", "Set....
true
_private.Init.Data.Nat.Basic.0.Nat.exists_eq_succ_of_ne_zero.match_1_1
Init.Data.Nat.Basic
[ "False", "False.elim", "Ne", "instOfNatNat", "instHAdd", "absurd", "HAdd.hAdd", "Nat", "instAddNat", "Nat.zero", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq", "Nat.casesOn" ]
false
Lean.Meta.Grind.Arith.propagateNatXOr
Lean.Meta.Tactic.Grind.Arith.Propagate
[ "Nat.instXorOp", "Lean.Meta.Grind.Propagator", "Lean.Meta.Grind.Arith.propagateNatBinOp", "Nat", "HXor.hXor", "Lean.Name.mkStr2", "Lean.Name.mkStr4", "instHXorOfXorOp" ]
true
Subring.mk.injEq
Mathlib.Algebra.Ring.Subring.Defs
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "Eq.propIntro", "AddGroupWithOne.toAddGroup", "Submonoid.toSubsemigroup", "Membership.mem", "MulOne.toMul", "Subring.mk.inj", "SubtractionMonoid.toSubNegZeroMonoid", "NonAssocSemiring.toMulZeroOneClass", "NonAssocRing", "Subsemiring.toSubmo...
true
Lean.Meta.AuxLemmas.mk.sizeOf_spec
Lean.Meta.Tactic.AuxLemma
[ "Lean.Meta.AuxLemmaKey._sizeOf_inst", "Lean.Meta.AuxLemmas.mk", "Lean.Meta.AuxLemmas", "Lean.PHashMap", "instOfNatNat", "Lean.Meta.instBEqAuxLemmaKey", "Lean.Meta.instHashableAuxLemmaKey", "List", "instHAdd", "Lean.PersistentHashMap._sizeOf_inst", "Lean.Meta.AuxLemmas._sizeOf_inst", "HAdd.hAdd...
true
Lean.PrettyPrinter.Delaborator.delabSort
Lean.PrettyPrinter.Delaborator.Builtins
[ "Pure.pure", "Lean.Syntax.node", "Lean.MonadRef.mkInfoFromRefPos", "_private.Lean.PrettyPrinter.Delaborator.Builtins.0.Lean.PrettyPrinter.Delaborator.delabSort.match_7", "Lean.PrettyPrinter.Delaborator.instInhabitedDelabM", "Lean.Syntax.Level", "Lean.PrettyPrinter.Delaborator.instMonadReaderOfSubExprDel...
true
HahnSeries.SummableFamily.instAddCommGroup._proof_7
Mathlib.RingTheory.HahnSeries.Summable
[ "HahnSeries.support", "Set.IsPWO", "instHSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "PartialOrder", "AddCommGroup", "Function.hasSMul", "DistribSMul.toSMu...
false
CategoryTheory.ShortComplex.SnakeInput.Hom.comp
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.SnakeInput.Hom.comp._proof_3", "CategoryTheory.ShortComplex.SnakeInput.L₃", "CategoryTheory.ShortComplex.SnakeInput.Hom.comp._proof_2", "CategoryTheory.ShortComplex.SnakeInput.L₂", "CategoryTheory.ShortComplex.SnakeInput.L₀", "Category...
true
CategoryTheory.ReflPrefunctor.«_aux_Mathlib_Combinatorics_Quiver_ReflQuiver___macroRules_CategoryTheory_ReflPrefunctor_term_⥤rq__1»
Mathlib.Combinatorics.Quiver.ReflQuiver
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3",...
false
Nat.Pseudoperfect.eq_1
Mathlib.NumberTheory.FactorisationProperties
[ "Finset", "Exists", "HasSubset.Subset", "instOfNatNat", "Nat.properDivisors", "And", "Nat", "LT.lt", "Finset.instHasSubset", "Nat.Pseudoperfect", "Nat.instAddCommMonoid", "Eq.refl", "instLTNat", "OfNat.ofNat", "Eq", "Finset.sum" ]
true
AddLocalization.decidableEq.eq_1
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "AddLocalization.recOnSubsingleton₂", "AddLocalization.decidableEq", "AddMonoid.toAddZeroClass", "Decidable", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "IsCancelAdd", "decidable_of_iff'", "AddZero.toAdd", "Eq.refl", ...
true
Filter.eventually_and
Mathlib.Order.Filter.Basic
[ "Filter.Eventually", "And", "Iff", "Filter.inter_mem_iff", "Filter" ]
true
Set.range_inl
Mathlib.Data.Set.Image
[ "Set.ext", "False", "Sum.ctorIdx", "congrArg", "False.elim", "setOf", "noConfusion_of_Nat", "Bool.false_eq_true", "Membership.mem", "Exists", "Sum.casesOn", "Sum", "Sum.inl", "Sum.inl.injEq", "Set.mem_range._simp_1", "iff_self", "Bool.true", "funext", "exists_false._simp_1", "I...
true
_private.Mathlib.Algebra.Ring.IsFormallyReal.0.IsFormallyReal.instIsReduced._proof_1
Mathlib.Algebra.Ring.IsFormallyReal
[ "False", "congrArg", "Classical.byContradiction", "Lean.Grind.Nat.lt_eq", "False.casesOn", "instOfNatNat", "LE.le", "instLENat", "Bool.true", "instHAdd", "HAdd.hAdd", "eq_true_of_decide", "Nat", "LT.lt", "True", "Bool", "Lean.Grind.not_true", "Lean.Grind.intro_with_eq", "instAddN...
false
NonUnitalSubsemiring.comap
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
[ "NonUnitalSubsemiring.toSubsemigroup", "AddMonoidHomClass.toAddMonoidHom", "Subsemigroup.comap", "AddMonoid.toAddZeroClass", "NonUnitalSubsemiring.comap._proof_4", "AddZeroClass.toAddZero", "MulHomClass.toMulHom", "AddSubmonoid.comap", "NonUnitalSubsemiring.mk", "AddSubmonoid", "AddSubmonoid.mk"...
true
FirstOrder.Language.graphRel.noConfusion
Mathlib.ModelTheory.Graph
[ "FirstOrder.Language.graphRel.casesOn", "FirstOrder.Language.graphRel", "Nat", "eq_of_heq", "Eq.ndrec", "FirstOrder.Language.graphRel.noConfusionType", "HEq", "Eq" ]
false
smul_apply
Mathlib.Data.FunLike.IsApply
[ "instHSMul", "outParam", "IsSMulApply", "SMul", "IsSMulApply.smul_apply", "HSMul.hSMul", "Eq", "DFunLike.coe", "FunLike" ]
true
_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo.rec
Lean.Meta.Tactic.Grind.MBTC
[ "Lean.Expr", "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo", "_private.Lean.Meta.Tactic.Grind.MBTC.0.Lean.Meta.Grind.ArgInfo.mk" ]
false
PFunctor.M.casesOn_mk'
Mathlib.Data.PFunctor.Univariate.M
[ "PFunctor", "PFunctor.A", "PFunctor.Obj", "PFunctor.M.casesOn'", "PFunctor.M", "PFunctor.B", "PFunctor.M.cases_mk", "PFunctor.M.casesOn'.match_1", "Sigma.mk", "Eq", "PFunctor.M.mk" ]
true
Finset.smul_sum
Mathlib.Algebra.BigOperators.GroupWithZero.Action
[ "instHSMul", "AddMonoidHom.instAddMonoidHomClass", "Finset", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "map_sum", "AddCommMonoid", "AddZero.toZero", "DistribSMul", "HSMul.hSMul", "SMulZeroClass.toSMul", "AddCommMonoid.toAddMonoid", "AddMonoidHom",...
true
OrderMonoidIso.val_inv_unitsWithZero_symm_apply
Mathlib.Algebra.Order.Hom.MonoidWithZero
[ "Units.val", "GroupWithZero.toMonoidWithZero", "GroupWithZero.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "WithZero.instMonoidWithZero", "OrderMonoidIso.unitsWithZero", "Group", "DivisionMonoid.toDivInvOneMonoid", "Units", "MulOne.toMul", "DivInvMonoid.toMonoid"...
true
ContMDiffOn.clm_bundle_apply₂
Mathlib.Geometry.Manifold.VectorBundle.Hom
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedSpace._proof_1", "ContinuousLinearMap.toNormedAddCommGroup", "ContinuousLinearMap.continuousSMul", "RingHomSurjective.ids", "Prod.normedSpace", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "Un...
true
Std.Do.PostShape.noConfusion
Std.Do.PostCond
[ "Std.Do.PostShape", "Std.Do.PostShape.noConfusionType", "Eq.ndrec", "Eq.refl", "Eq", "Std.Do.PostShape.casesOn" ]
false
Subfield._sizeOf_inst
Mathlib.Algebra.Field.Subfield.Defs
[ "SizeOf.mk", "DivisionRing", "Subfield", "SizeOf", "Subfield._sizeOf_1" ]
false
_private.Mathlib.Topology.Algebra.WithZeroTopology.0.WithZeroTopology.orderClosedTopology._simp_2
Mathlib.Topology.Algebra.WithZeroTopology
[ "not_le", "Preorder.toLT", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "LT.lt", "propext", "LinearOrder.toPartialOrder", "Eq", "Not" ]
false
ContDiffAt.smulRight
Mathlib.Analysis.Calculus.ContDiff.Comp
[ "ContDiffAt", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "Algebra.to_smulCommClass", "Semiring.toModule", "NormedSpace.toIsBoundedSMul", "NormedSpace", "ContinuousLinearMap.smulRight", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGr...
true
Equiv.image_swap_of_mem_of_notMem
Mathlib.Logic.Equiv.Basic
[ "Set.ext", "Eq.mpr", "Equiv.instEquivLike", "congrArg", "Equiv.swap", "Membership.mem", "Set.instSingletonSet", "id", "Insert.insert", "Ne", "Ne.symm", "Or.casesOn", "Equiv.swap_apply_of_ne_of_ne", "ne_of_mem_of_not_mem", "And.casesOn", "SDiff.sdiff", "And", "Exists.casesOn", "Se...
true
CategoryTheory.Limits.BinaryCofan.isColimitMk._proof_2
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.Limits.BinaryCofan.inr", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingPair.right", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.BinaryC...
false
Finsupp.lsingle_range_le_ker_lapply
Mathlib.LinearAlgebra.Finsupp.Span
[ "Iff.mpr", "_private.Mathlib.LinearAlgebra.Finsupp.Span.0.Finsupp.lsingle_range_le_ker_lapply._simp_1_3", "Eq.mpr", "Disjoint.le_bot", "Submodule", "RingHomSurjective.ids", "iInf", "_private.Mathlib.LinearAlgebra.Finsupp.Span.0.Finsupp.lsingle_range_le_ker_lapply._simp_1_4", "Finsupp.module", "Cha...
true
CategoryTheory.Limits.PullbackCone.flipIsLimit._proof_1
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.WalkingCospan.right", "CategoryTheory.Limits.WidePullbackShape.category", "CategoryTheory.Limits.PullbackCone.fst", "CategoryTheory.Limits.PullbackCone.flip", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.L...
false
CategoryTheory.ShortComplex.homMk_τ₁
Mathlib.Algebra.Homology.ShortComplex.Basic
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ShortComplex.Hom.τ₁", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.homMk", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTh...
true
Matroid.IsCircuit.eq_fundCircuit_of_subset
Mathlib.Combinatorics.Matroid.Circuit
[ "Matroid.Indep.mem_closure_iff", "subset_refl._simp_1", "Eq.mpr", "Matroid.Dep", "Matroid.fundCircuit_eq_sInter", "congrArg", "Matroid.E", "Matroid.Dep.superset", "False.elim", "setOf", "Membership.mem", "Set.insert_eq_of_mem", "Matroid.Indep", "HasSubset.Subset.trans", "Set.instSingleto...
true
LieDerivation.exp_map_apply
Mathlib.Algebra.Lie.Derivation.Basic
[ "LieAlgebra.toModule", "Module.End.instRing", "CommRing", "DFunLike.congr_fun", "Module.End.instMonoid", "LieDerivation", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "LieEquiv", "Rat", "LinearMap.instFunLike", "lieA...
true
Finset.image_comp_eq
Mathlib.Data.Finset.Image
[ "Finset", "Function.comp", "Finset.image_comp_image", "Eq.symm", "Eq", "Finset.image", "DecidableEq" ]
true
Lean.Elab.Structural.EqnInfo._sizeOf_1
Lean.Elab.PreDefinition.Structural.Eqns
[ "Lean.Elab.Structural.EqnInfo.rec", "Lean.Elab.FixedParamPerms._sizeOf_inst", "Lean.Elab.FixedParamPerms", "Lean.Expr", "instOfNatNat", "Array._sizeOf_inst", "Array", "List", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.Elab.Structural.EqnInfo", "Nat", "List._sizeOf_inst", "Size...
false
Lean.PrettyPrinter.Parenthesizer.checkColGt.parenthesizer
Lean.PrettyPrinter.Parenthesizer
[ "Pure.pure", "Unit.unit", "IO.RealWorld", "Lean.PrettyPrinter.Parenthesizer", "Applicative.toPure", "Lean.PrettyPrinter.Parenthesizer.Context", "Unit", "Lean.PrettyPrinter.ParenthesizerM", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Lean.Core.instMonadCoreM", "ReaderT.instAppli...
true
rootsOfUnityUnitsMulEquiv._proof_6
Mathlib.RingTheory.RootsOfUnity.Basic
[ "Iff.mpr", "mem_rootsOfUnity", "Units.val", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "Subgroup.mul", "Membership.mem", "Units", "id", "MulOne.toMul", "Subtype", "Subgroup", "Units.instGroup", "rootsOfUnity", "Units.instOne", "Subtype.mk", "Monoid.toPow", "MulOneClass....
false
WithLp.toLp_fst
Mathlib.Analysis.Normed.Lp.ProdLp
[ "WithLp.toLp", "Prod.fst", "WithLp.fst", "ENNReal", "Prod", "Eq", "rfl" ]
true
Fintype.prod_eq_mul
Mathlib.Data.Fintype.BigOperators
[ "Finset.mem_univ", "MulOne.toOne", "Finset.prod_eq_mul", "HMul.hMul", "Finset.univ", "Monoid.toMulOneClass", "Finset", "False.elim", "Membership.mem", "MulOne.toMul", "Ne", "Finset.prod", "MulOneClass.toMulOne", "And", "Fintype", "Finset.instSetLike", "CommMonoid.toMonoid", "One.to...
true
Std.IterM.Equiv.of_morphism
Std.Data.Iterators.Lemmas.Equivalence.Basic
[ "_private.Std.Data.Iterators.Lemmas.Equivalence.Basic.0.Std.IterM.Equiv.of_morphism._simp_1_2", "Std.Iterators.HetT.pure", "Iff.mpr", "Eq.mpr", "Std.BundledIterM.step", "bind_congr", "Std.IterStep", "Quot.sound", "Std.Iterators.HetT.pure_bind", "Iff.of_eq", "congrArg", "Std.Shrink", "Monad.t...
true
_private.Lean.Meta.MethodSpecs.0.Lean.rewriteThm
Lean.Meta.MethodSpecs
[ "Lean.Core.instMonadTraceCoreM", "Lean.Meta.Simp.Result.getProof", "Lean.MessageData", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Array.mkEmpty", "Lean.mkAppN", "Lean.PersistentArrayNode.node", "Lean.ConstantVal", "Lean.Meta.Simp.Diagnostics.mk", "Lean.Constant...
true
geom_sum_Ico_mul_neg
Mathlib.Algebra.Ring.GeomSum
[ "Eq.mpr", "HMul.hMul", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "congrArg", "AddCommGroup.toAddCommMonoid", "NonUnitalNonAssocRing.toAddCommGroup", "Finset.sum_Ico_eq_sub", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "AddCommGroup.toAddGroup", "Nat.instLocallyFiniteOrder", ...
true
Nat.reducePow
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat
[ "Pure.pure", "instPowNat", "Unit.unit", "Lean.Expr.isApp", "Lean.Meta.Simp.Config", "ReaderT", "Lean.Meta.State", "Lean.Expr.cleanupAnnotations", "instMonadLiftT", "Lean.Meta.Simp.MethodsRef", "Lean.checkExponent", "ReaderT.instMonad", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "L...
true
_private.Mathlib.FieldTheory.RatFunc.Luroth.0.RatFunc.Luroth.Φ_coeff_generatorIndex_ne_zero
Mathlib.FieldTheory.RatFunc.Luroth
[ "Iff.mpr", "Eq.mpr", "RingHom.instRingHomClass", "IsDomain.to_noZeroDivisors", "Lattice.toSemilatticeSup", "HMul.hMul", "_private.Mathlib.FieldTheory.RatFunc.Luroth.0.RatFunc.Luroth.c", "Algebra.algebraMap", "MulZeroClass.toMul", "CompleteLattice.toLattice", "RatFunc.Luroth.generator_ne_zero", ...
true
MonadReaderOf.read
Init.Prelude
[ "semiOutParam", "MonadReaderOf" ]
true
Ideal.Pure.eq_1
Mathlib.RingTheory.Ideal.Pure
[ "Submodule.Quotient.addCommMonoid", "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Submodule.Quotient.module", "Ideal", "Module.Flat", "HasQuotient.Quotient", "CommRing.toCommSemiring", "Ring.toAddCommGroup", "Eq.refl", "CommRing.toRing", "Eq", "Ideal.Pure", "Ideal.instHasQ...
true
CategoryTheory.GrothendieckTopology.Point.toPresheafFiberOfIsCofiltered_naturality_assoc
Mathlib.CategoryTheory.Sites.Point.OfIsCofiltered
[ "CategoryTheory.InitiallySmall", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.IsCofiltered", "CategoryTheory.LocallySmall", "CategoryTheory.GrothendieckTopology.Point.toPresheafFiberOfIsCo...
true
Asymptotics.transIsEquivalentIsLittleO
Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
[ "Asymptotics.IsEquivalent.trans_isLittleO", "Norm", "Trans", "Asymptotics.IsEquivalent", "NormedAddCommGroup.toNorm", "Asymptotics.IsLittleO", "Trans.mk", "NormedAddCommGroup.toSeminormedAddCommGroup", "Filter", "NormedAddCommGroup" ]
true
CategoryTheory.PreOneHypercover.cylinder_X
Mathlib.CategoryTheory.Sites.Hypercover.Homotopy
[ "CategoryTheory.PreOneHypercover.cylinder", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.I₁", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.PreZeroHypercover.X", "Sigma.fst", "CategoryTheory.PreOneHypercover.Hom.toHom", "CategoryTheory.PreZeroHypercover....
true
CategoryTheory.CostructuredArrow.ιCompGrothendieckPrecompFunctorToCommaCompFst_hom_app
Mathlib.CategoryTheory.Comma.StructuredArrow.Functor
[ "CategoryTheory.Cat.category", "CategoryTheory.Functor", "CategoryTheory.Grothendieck.ι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CostructuredArrow.grothendieckPrecompFunctorToComma", "CategoryTheory.Comma.fst", "CategoryTheory.Functor.category", "CategoryTheory.Funct...
true
Multiset.mem_filterMap
Mathlib.Data.Multiset.Filter
[ "Multiset.filterMap", "Option.some", "Membership.mem", "Exists", "Quot.inductionOn", "Multiset", "List.mem_filterMap", "Multiset.instMembership", "List", "And", "Iff", "List.isSetoid", "Eq", "Setoid.r", "Option" ]
true
Algebra.RingHom.adjoinAlgebraMapEquiv._proof_1
Mathlib.RingTheory.Adjoin.Singleton
[ "Subalgebra.instSetLike", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "Algebra", "Algebra.adjoin", "Membership.mem", "Algebra.id", "Set.instSingletonSet", "Polynomial", "CommSemiring", "Polynomial.semiring", "of_eq_true", "Polynomial.aeval_mem_ad...
false