name
string
module
string
deps
list
allowCompletion
bool
CompletelyNormalSpace.recOn
Mathlib.Topology.Separation.Regular
[ "CompleteBooleanAlgebra.toCompleteDistribLattice", "CompletelyNormalSpace.rec", "Filter.instCompleteLatticeFilter", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "CompletelyNormalSpace", "TopologicalSpace...
false
HahnSeries.instMul._proof_1
Mathlib.RingTheory.HahnSeries.Multiplication
[ "instVAddOfAdd", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "instIsOrderedCancelVAddOfIsOrderedAddCancelMonoid", "Preorder.toLE", "AddZeroClass.toAddZero", "PartialOrder", "AddCommMonoid", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", "IsOrderedCancelAddMonoid", "IsOrderedCancelVAd...
false
Asymptotics.IsBigOTVS.trans
Mathlib.Analysis.Asymptotics.TVS
[ "Filter.instMembership", "NormedCommRing.toSeminormedCommRing", "Asymptotics.IsBigOTVS", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "setOf", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Membership.me...
true
Prod.instRing._proof_7
Mathlib.Algebra.Ring.Prod
[ "Prod.instAddGroupWithOne", "AddGroupWithOne.toAddMonoidWithOne", "IntCast.intCast", "AddGroupWithOne.toNeg", "inferInstance", "AddMonoidWithOne.toNatCast", "instOfNatNat", "AddGroupWithOne.toIntCast", "AddGroupWithOne.intCast_negSucc", "Nat.cast", "instHAdd", "HAdd.hAdd", "Nat", "instAddN...
false
Finset.piecewise_le_of_le_of_le
Mathlib.Data.Finset.Piecewise
[ "Finset", "Decidable", "Preorder.toLE", "Membership.mem", "Finset.piecewise", "LE.le", "Finset.piecewise_cases", "Pi.hasLe", "Finset.instSetLike", "SetLike.instMembership", "Preorder" ]
true
iter_deriv_zpow'
Mathlib.Analysis.Calculus.Deriv.ZPow
[ "Int.instAddCommGroup", "NormedCommRing.toNormedRing", "Function.iterate_succ_apply'", "Int.cast", "NormedCommRing.toSeminormedCommRing", "Int.cast_natCast", "MulOne.toOne", "Semigroup.toMul", "Nat.recAux", "Semiring.toModule", "NormedRing.toRing", "HMul.hMul", "Monoid.toMulOneClass", "Add...
true
_private.Lean.Elab.DocString.0.Lean.Doc.initFn._@.Lean.Elab.DocString.966400761._hygCtx._hyg.2
Lean.Elab.DocString
[ "Lean.NameMap", "IO.mkRef", "instMonadLiftT", "IO", "EIO", "liftM", "Lean.NameMap.instEmptyCollection", "Array", "Lean.Name", "IO.Error", "IO.Ref", "Lean.Doc.DocDirectiveExpander", "instMonadLiftTOfMonadLift", "EmptyCollection.emptyCollection", "Prod", "BaseIO", "instMonadLiftBaseIOE...
false
RestrictedProduct.instContinuousVAddCoePrincipal
Mathlib.Topology.Algebra.RestrictedProduct.TopologicalSpace
[ "SetLike", "Pi.instVAdd", "Topology.IsInducing.continuousVAdd", "Pi.topologicalSpace", "RestrictedProduct.topologicalSpace", "VAdd", "id", "RestrictedProduct.isEmbedding_coe_of_principal", "RestrictedProduct.instDFunLike", "HVAdd.hVAdd", "RestrictedProduct", "RestrictedProduct.instVAddCoeOfVAd...
true
Lean.Meta.Config.constApprox
Lean.Meta.Basic
[ "Bool", "Lean.Meta.Config" ]
true
LocalizedModule.instRing._proof_6
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "LocalizedModule", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "OreLocalization.instAddCommGroup", "Algebra", "AddCommGroup.toAddGroup", "inferInstance", "AddCommGroup", "Algebra.toModule", "Int", "Nat.cast", "autoParam", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOf...
false
LinearMap.BilinForm.isOrtho_zero_right
Mathlib.LinearAlgebra.BilinearForm.Orthogonal
[ "LinearMap.BilinForm.zero_right", "LinearMap.BilinForm", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "LinearMap.BilinForm.IsOrtho", "AddCommMonoid", "CommSemiring", "AddZero.toZero", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "Module", "OfNat.ofNat" ]
true
MulPosStrictMono.mk
Mathlib.Algebra.Order.GroupWithZero.Defs
[ "Preorder.toLT", "HMul.hMul", "Mul", "MulPosStrictMono.mk", "MulPosStrictMono", "LT.lt", "Zero.toOfNat0", "OfNat.ofNat", "Preorder", "instHMul", "Zero" ]
true
MeasureTheory.Lp.continuous_negPart
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "Real", "MeasureTheory.Measure", "Continuous", "ContinuousNeg.continuous_neg", "Continuous.comp", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.Lp.negPart", "AddCommGroup.toAddGroup", "AddSubgroup.toAddGroup", "Membership.mem", "Fact", "AddSubgroup.neg", "id", "Subtype", "IsTopologi...
true
CategoryTheory.MorphismProperty.Over.mapId_inv_app_left
Mathlib.CategoryTheory.MorphismProperty.OverAdjunction
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.MorphismProperty.Over.map._proof_1", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.MorphismProperty.Over.map", "CategoryTheory.MorphismPr...
true
Set.ncard_diff_singleton_lt_of_mem
Mathlib.Data.Set.Card
[ "Set.ncard_sdiff_singleton_lt_of_mem._auto_1", "Set.Finite", "Membership.mem", "Set.ncard_sdiff_singleton_lt_of_mem", "Set.instSingletonSet", "autoParam", "SDiff.sdiff", "Nat", "LT.lt", "instLTNat", "Set.ncard", "Singleton.singleton", "Set.instMembership", "Set.instSDiff", "Set" ]
true
_private.Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basic.0.RootPairing.GeckConstruction.instIsLieAbelianSubtypeMatrixSumMemFinsetSupportLieSubalgebraLieAlgebraCartanSubalgebra'._simp_3
Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basic
[ "Subtype", "Subtype.ext_iff", "propext", "Subtype.val", "Eq" ]
false
AddMonoid.exponent_addSubmonoid_dvd
Mathlib.GroupTheory.Exponent
[ "AddSubmonoid.subtype", "Dvd.dvd", "AddSubmonoid.toAddMonoid", "AddMonoid.exponent_dvd_of_addMonoidHom", "AddMonoid.toAddZeroClass", "Membership.mem", "Subtype", "AddSubmonoid", "AddSubmonoid.subtype_injective", "Nat.instDvd", "Nat", "AddMonoid", "AddSubmonoid.instSetLike", "AddMonoid.expo...
true
CategoryTheory.equivalenceReflectsNormalMono._proof_1
Mathlib.CategoryTheory.Limits.Shapes.NormalMono.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor.preimage", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Functor.IsEquivalence.full", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eq_whisker", "Categor...
false
LocallyConstant.instRing._proof_2
Mathlib.Topology.LocallyConstant.Algebra
[ "AddGroupWithOne.toAddMonoidWithOne", "LocallyConstant", "LocallyConstant.instOne", "AddMonoidWithOne.toOne", "TopologicalSpace", "One.toOfNat1", "LocallyConstant.instFunLike", "OfNat.ofNat", "Eq", "DFunLike.coe", "Ring", "Ring.toAddGroupWithOne", "rfl" ]
false
LinearMap.map_sub₂
Mathlib.LinearAlgebra.BilinearMap
[ "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "HSub.hSub", "AddCommGroup.toAddGroup", "RingHom", "AddZeroClass.toAddZero", "AddCommGroup", "DistribSMul.toSMulZeroClass", "SMulCommClass.symm", "LinearMap.module", "Linear...
true
FreeMonoid.instUniqueOfIsEmpty.eq_1
Mathlib.Algebra.FreeMonoid.Basic
[ "FreeMonoid", "Unique.mk", "FreeMonoid.instUniqueOfIsEmpty", "Unique", "FreeMonoid.instInhabited", "IsEmpty", "Eq.refl", "FreeMonoid.instUniqueOfIsEmpty._proof_1", "Eq" ]
true
CategoryTheory.HomOrthogonal.matrixDecomposition_id
Mathlib.CategoryTheory.Preadditive.HomOrthogonal
[ "CategoryTheory.End.one", "Eq.mpr", "CategoryTheory.Limits.biproduct.bicone", "Equiv.instEquivLike", "CategoryTheory.HomOrthogonal.matrixDecomposition._proof_2", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "_private.Mathlib.CategoryTheory.Preadditive.HomOrthogonal.0.CategoryTheory.HomOrtho...
true
List.pair_sublist_insertionSort'
Mathlib.Data.List.Sort
[ "Iff.mpr", "List.Pairwise", "Std.Antisymm", "DecidableRel", "IsTrans", "List.cons", "List", "List.sublist_insertionSort'", "List.Subperm", "List.Sublist", "Std.Total", "List.insertionSort", "List.pairwise_pair", "List.nil" ]
true
CategoryTheory.instIsSplitEpiOppositeOpOfIsSplitMono
Mathlib.CategoryTheory.EpiMono
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SplitMono.op", "Quiver.Hom.op", "CategoryTheory.IsSplitEpi", "Nonempty.some", "CategoryTheory.IsSplitMono.exists_splitMono", "CategoryTheory.IsSplitMono", "Opposite.op", "CategoryTheory.Category.opposite", "Cat...
true
ContinuousLinearEquiv.conjContinuousAlgEquiv._proof_8
Mathlib.Topology.Algebra.Module.Spaces.ContinuousLinearMap
[ "Continuous", "ContinuousLinearMap.topologicalSpace", "ContinuousLinearEquiv.toLinearEquiv", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "ContinuousLinearMap.addCommMonoid", "AddCommGroup.toAddGroup", "ContinuousLinearMap.precomp._proof_3", "Normed...
false
MeasurableEquiv.IicProdIoc
Mathlib.Probability.Kernel.IonescuTulcea.Maps
[ "MeasurableEquiv.IicProdIoc._proof_4", "MeasurableEquiv.IicProdIoc._proof_1", "MeasurableEquiv.IicProdIoc._proof_7", "IicProdIoc._proof_1", "Finset", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "LocallyFiniteOrderBot", "Equiv.mk...
true
_private.Mathlib.RingTheory.HahnSeries.Summable.0.HahnSeries.SummableFamily.coeff_hsum_mul._simp_1_2
Mathlib.RingTheory.HahnSeries.Summable
[ "instHSMul", "instSMulOfMul", "HMul.hMul", "Mul", "HSMul.hSMul", "smul_eq_mul", "Eq.symm", "Eq", "instHMul" ]
false
CategoryTheory.Adjunction.compUliftCoyonedaIso._proof_4
Mathlib.CategoryTheory.Adjunction.Basic
[ "CategoryTheory.Functor.op", "CategoryTheory.Adjunction.compUliftCoyonedaIso._proof_2", "CategoryTheory.Functor", "CategoryTheory.uliftCoyoneda", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory...
false
_private.Mathlib.Analysis.Complex.PhragmenLindelof.0.PhragmenLindelof.quadrant_I._simp_1_2
Mathlib.Analysis.Complex.PhragmenLindelof
[ "Filter.eventually_inf_principal", "Filter.Eventually", "Membership.mem", "Filter.instInf", "propext", "Filter.principal", "Eq", "Set.instMembership", "Filter", "Min.min", "Set" ]
false
Lean.Elab.Term.BinderView.mk.inj
Lean.Elab.Binders
[ "Lean.Elab.Term.BinderView", "Lean.Syntax", "And", "And.intro", "Lean.Elab.Term.BinderView.mk.noConfusion", "Lean.Elab.Term.BinderView.mk", "Lean.BinderInfo", "Eq" ]
true
CategoryTheory.ShortComplex.ShortExact.extClass._proof_7
Mathlib.Algebra.Homology.DerivedCategory.Ext.ExtClass
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory.Abelian", "HomologicalComplex", "Int.instDecidableEq", "CategoryTheory.ShortComplex.Sho...
false
CategoryTheory.Comma.mapRightId_hom_app_right
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Comma.mapRightId", "CategoryTheory.Comma", "CategoryTheory.commaCatego...
true
Ideal.IsMaximal.lt_top
Mathlib.RingTheory.Ideal.Maximal
[ "Preorder.toLT", "Semiring.toModule", "PartialOrder.toPreorder", "Submodule.instPartialOrder", "Submodule.instTop", "Ideal", "Submodule.instOrderTop", "Ne.lt_top", "LT.lt", "Ideal.IsMaximal", "Semiring", "Ideal.IsMaximal.ne_top", "Top.top", "Semiring.toAddCommMonoid" ]
true
MulEquiv.mk'
Mathlib.Algebra.Group.Equiv.Defs
[ "Equiv.instEquivLike", "HMul.hMul", "Mul", "Equiv", "MulEquiv", "Eq", "MulEquiv.mk", "DFunLike.coe", "EquivLike.toFunLike", "instHMul" ]
true
_private.Mathlib.Order.Hom.Basic.0.OrderIso.ofRelIsoLT._simp_1
Mathlib.Order.Hom.Basic
[ "le_iff_eq_or_lt", "Preorder.toLT", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "LE.le", "LT.lt", "propext", "Or", "Eq" ]
false
Set.subtypeInsertEquivOption.congr_simp
Mathlib.RingTheory.Algebraic.MvPolynomial
[ "Membership.mem", "Equiv", "Subtype", "Insert.insert", "Set.instInsert", "Eq.refl", "Eq", "Set.instMembership", "Not", "Set.subtypeInsertEquivOption", "Option", "DecidableEq", "Set" ]
true
CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.noConfusionType
Mathlib.CategoryTheory.Monoidal.DayConvolution.Closed
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingMulticospan.instSmallCategory", "CategoryTheory.Monoi...
false
PEquiv.toMatrix_toPEquiv_eq
Mathlib.Data.Matrix.PEquiv
[ "PEquiv.instFunLikeOption", "Matrix.submatrix", "One", "Equiv.instEquivLike", "Equiv.toPEquiv", "Option.instMembership", "Matrix", "Membership.mem", "id", "Equiv", "if_congr", "PEquiv.toMatrix", "Equiv.Perm", "One.toOfNat1", "Matrix.one", "Zero.toOfNat0", "Option.instDecidableMemOfDe...
true
CategoryTheory.Idempotents.Karoubi.rec
Mathlib.CategoryTheory.Idempotents.Karoubi
[ "CategoryTheory.Idempotents.Karoubi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Idempotents.Karoubi.mk", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
false
LieSubalgebra.instPartialOrder_1._proof_1
Mathlib.Algebra.Lie.Subalgebra
[ "CommRing", "ChainCompletePartialOrder.instOfCompleteLattice", "LieSubalgebra.instSetLike", "PartialOrder.toPreorder", "LieSubalgebra.coe_injective", "Preorder.toLE", "Preorder.le_refl", "LE.le", "ChainCompletePartialOrder.toPartialOrder", "LieRing", "SetLike.coe", "CompleteBooleanAlgebra.toCo...
false
Matrix.TransvectionStruct.toMatrix.eq_1
Mathlib.LinearAlgebra.Matrix.Transvection
[ "CommRing", "Matrix.TransvectionStruct.i", "Matrix", "Matrix.TransvectionStruct.toMatrix", "Matrix.TransvectionStruct.j", "Matrix.TransvectionStruct.c", "Matrix.transvection", "Matrix.TransvectionStruct", "Eq.refl", "Eq", "DecidableEq" ]
true
_private.Mathlib.Tactic.Translate.Attributes.0.Mathlib.Tactic.generatingAttrs._proof_1
Mathlib.Tactic.Translate.Attributes
[ "Lean.NameMap", "Lean.AttrM", "Lean.Syntax", "ST.instNonemptyRef", "IO.RealWorld", "Array", "instNonemptyOfInhabited", "Lean.NameMap.instInhabited", "Nonempty", "Lean.Name", "ST.Ref", "Lean.AttributeKind" ]
false
ClassGroup.fintypeOfAdmissibleOfFinite._proof_12
Mathlib.NumberTheory.ClassNumber.Finite
[ "IsIntegralClosure", "IsIntegralClosure.isIntegral_algebra", "CommRing", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "Algebra.toSMul", "Algebra.IsIntegral", "Field.toSemifield", "Field.toCommRing", "CommRing.toCommSemiring", "Semifield.toDivisionSemiring", "EuclideanDomain", "Di...
false
CategoryTheory.Functor.mapMonNatTrans
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.mapMonNatTrans._proof_2", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.NatTrans.mk", "CategoryTheory.Mon", "CategoryTheory.Mon.X", "CategoryTheory.Mon....
true
RingHom.surjective_codRestrict
Mathlib.Algebra.Ring.Subsemiring.Basic
[ "SetLike", "Subsemiring.instSetLike", "SubsemiringClass", "Subsemiring.ofClass", "Set.surjective_codRestrict", "RingHom", "Membership.mem", "Set.Elem", "Subtype", "Subsemiring", "Iff", "NonAssocSemiring", "RingHom.instFunLike", "SetLike.coe", "RingHom.codRestrict", "Iff.trans", "SetL...
true
_private.Mathlib.Combinatorics.SimpleGraph.Triangle.Basic.0.SimpleGraph.farFromTriangleFree_of_disjoint_triangles_aux._simp_1_4
Mathlib.Combinatorics.SimpleGraph.Triangle.Basic
[ "Finset", "Membership.mem", "Set.Elem", "SimpleGraph.edgeSet", "SimpleGraph.edgeFinset", "SimpleGraph", "Fintype", "Finset.instSetLike", "SimpleGraph.mem_edgeFinset", "propext", "Eq", "Set.instMembership", "Sym2", "SetLike.instMembership", "Set" ]
false
_private.Mathlib.CategoryTheory.Abelian.DiagramLemmas.Four.0.CategoryTheory.Abelian.mono_of_epi_of_mono_of_mono''._proof_7
Mathlib.CategoryTheory.Abelian.DiagramLemmas.Four
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "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.ev...
false
MeasureTheory.NullMeasurableSet.mono_ac
Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving
[ "MeasureTheory.Measure", "MeasureTheory.NullMeasurableSet", "MeasureTheory.Measure.AbsolutelyContinuous", "id", "MeasureTheory.NullMeasurableSet.preimage", "MeasurableSpace", "MeasureTheory.Measure.QuasiMeasurePreserving.id", "MeasureTheory.Measure.QuasiMeasurePreserving.mono_left", "Set" ]
true
_private.Mathlib.Tactic.ClickSuggestions.TryPremises.0.Mathlib.Tactic.ClickSuggestions.Candidates.app.noConfusion
Mathlib.Tactic.ClickSuggestions.TryPremises
[ "_private.Mathlib.Tactic.ClickSuggestions.TryPremises.0.Mathlib.Tactic.ClickSuggestions.Candidates", "_private.Mathlib.Tactic.ClickSuggestions.TryPremises.0.Mathlib.Tactic.ClickSuggestions.Candidates.app", "Mathlib.Tactic.ClickSuggestions.ApplyLemma", "id", "Array", "_private.Mathlib.Tactic.ClickSuggestio...
false
Turing.TM2.Cfg.inhabited
Mathlib.Computability.TuringMachine.StackTuringMachine
[ "Inhabited.default", "Pi.instInhabited", "List", "Turing.TM2.Cfg.mk", "instInhabitedOption", "Inhabited", "Turing.TM2.Cfg", "instInhabitedList", "Inhabited.mk", "Option" ]
true
Complex.isPrimitiveRoot_exp
Mathlib.RingTheory.RootsOfUnity.Complex
[ "Nat.coprime_one_left", "DivInvMonoid.toInv", "instHDiv", "Real.pi", "HMul.hMul", "Complex.commRing", "congrArg", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "Complex.instDivInvMonoid", "Complex.instMul", "Complex.addGroupWithOne", "Eq.mp", "HDiv.hDiv", "Ne", "...
true
Int16.ofBitVec_sdiv
Init.Data.SInt.Lemmas
[ "instHDiv", "Int16", "Int16.ofBitVec", "BitVec", "HDiv.hDiv", "instOfNatNat", "BitVec.sdiv", "Nat", "OfNat.ofNat", "Eq", "instDivInt16", "rfl" ]
true
OpenSubgroup.toSubgroup_prod
Mathlib.Topology.Algebra.OpenSubgroup
[ "OpenSubgroup", "instTopologicalSpaceProd", "Group", "Subgroup", "Prod.instGroup", "TopologicalSpace", "Subgroup.prod", "Prod", "Eq", "rfl", "OpenSubgroup.prod", "OpenSubgroup.toSubgroup" ]
true
FractionalIdeal.dual_eq_zero_iff._simp_1
Mathlib.RingTheory.DedekindDomain.Different
[ "FractionalIdeal.dual", "IsIntegralClosure", "IsDomain", "IsDedekindDomain.toIsDomain", "CommRing", "IsDomain.to_noZeroDivisors", "CommSemiring.toSemiring", "IsFractionRing", "IsScalarTower", "Algebra", "Algebra.toSMul", "nonZeroDivisors", "Field.toDivisionRing", "Algebra.toModule", "Div...
false
_private.Std.Data.DHashMap.Lemmas.0.Std.DHashMap.getKeyD_insertIfNew._simp_1_1
Std.Data.DHashMap.Lemmas
[ "Std.DHashMap.contains_iff_mem", "Membership.mem", "Std.DHashMap.instMembership", "Bool.true", "Std.DHashMap.contains", "propext", "Bool", "Hashable", "Eq.symm", "BEq", "Eq", "Std.DHashMap" ]
false
_private.Batteries.Util.ProofWanted.0.initFn._@.Batteries.Util.ProofWanted.2313051376._hygCtx._hyg.2
Batteries.Util.ProofWanted
[ "Lean.Name.mkNum", "Array.push", "Lean.SimplePersistentEnvExtensionDescr.mk", "IO", "Lean.registerSimplePersistentEnvExtension", "Lean.Name.mkStr", "instOfNatNat", "List.toArray", "Lean.Name.anonymous", "Array", "Option.none", "List", "Array.instInhabited", "Nat", "Lean.OLeanEntries", ...
false
Algebra.IsStandardEtale.mk._flat_ctor
Mathlib.RingTheory.Etale.StandardEtale
[ "CommRing", "CommSemiring.toSemiring", "Algebra", "Algebra.IsStandardEtale", "CommRing.toCommSemiring", "Algebra.IsStandardEtale.mk", "Nonempty", "StandardEtalePresentation" ]
false
LineDerivAdd.rec
Mathlib.Analysis.Distribution.DerivNotation
[ "AddCommGroup.toAddCommMonoid", "AddCommGroup", "instHAdd", "LineDeriv", "LineDerivAdd", "HAdd.hAdd", "LineDeriv.lineDerivOp", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommSemigroup", "Eq", "AddCommMagma.toAdd", "LineDerivAdd.mk" ]
false
IntermediateField.le_extendScalars_iff
Mathlib.FieldTheory.IntermediateField.Basic
[ "IntermediateField.restrictScalars", "IntermediateField.instPartialOrder", "IntermediateField.isScalarTower_mid'", "instSMulOfMul", "IntermediateField", "Iff.rfl", "IntermediateField.toField", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Membership.mem", "Algebra.toModule", "Algeb...
true
squeeze_one_norm
Mathlib.Analysis.Normed.Group.Continuity
[ "Norm.norm", "Real.instLE", "Real", "InvOneClass.toOne", "DivInvOneMonoid.toInvOneClass", "Real.instZero", "SeminormedGroup", "SeminormedGroup.toGroup", "PseudoMetricSpace.toUniformSpace", "SeminormedGroup.toPseudoMetricSpace", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "n...
true
FunLike.divInvOneMonoid._proof_2
Mathlib.Data.FunLike.Group
[ "FunLike.coe_mul", "Semigroup.toMul", "HMul.hMul", "Monoid.toMulOneClass", "DivInvOneMonoid.toDivInvMonoid", "DivInvOneMonoid", "Mul", "MulOne.toMul", "DivInvMonoid.toMonoid", "IsMulApply", "MulOneClass.toMulOne", "Monoid.toSemigroup", "Pi.instMul", "Eq", "DFunLike.coe", "FunLike", "...
false
_private.Mathlib.Algebra.BigOperators.Fin.0.Fin.prod_Ico_cast._simp_1_1
Mathlib.Algebra.BigOperators.Fin
[ "Finset", "PartialOrder.toPreorder", "finCongr", "Fin.instLocallyFiniteOrder", "Finset.map", "Finset.Ico", "Fin.cast", "Fin.instPartialOrder", "Equiv.toEmbedding", "Nat", "Eq.symm", "Fin", "Eq", "Fin.map_finCongr_Ico" ]
false
MvPowerSeries.truncFinset_coe_eq_self_iff
Mathlib.RingTheory.MvPowerSeries.Trunc
[ "Eq.mpr", "Nat.instMulZeroClass", "Semiring.toModule", "_private.Mathlib.RingTheory.MvPowerSeries.Trunc.0.MvPowerSeries.truncFinset_coe_eq_self_iff._proof_1_1", "AddMonoidAlgebra.addAddCommMonoid", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.ext", "Finset", "LinearMap.instFunLike", "Cla...
true
Lean.Meta.Grind.State.instanceMap
Lean.Meta.Tactic.Grind.Types
[ "Lean.Meta.Grind.State", "Lean.Meta.Grind.EMatchTheorem", "Std.HashMap", "Lean.Name", "Lean.Name.instBEq", "Lean.instHashableName" ]
true
MonoidAlgebra.lift._proof_3
Mathlib.Algebra.MonoidAlgebra.Basic
[ "MonoidAlgebra.semiring", "MonoidAlgebra.addCommMonoid", "Monoid", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "MonoidAlgebra.liftNCAlgHom", "MonoidHom.instFunLike", "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass", "AlgHom.algHomClass", "HMul.hMul", "Algebra....
false
NonemptyInterval.instCommSemiringOfCanonicallyOrderedAdd._proof_21
Mathlib.Algebra.Order.Interval.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "AddMonoid.toAddSemigroup", "CommSemiring.toSemiring", "covariant_swap_add_of_covariant_add", "PartialOrder.toPreorder", "AddMonoid.toNSMul", "Preorder.toLE", "PartialOrder", "Distrib.toAdd", "NonUnitalSemiring.toNonUnitalNonAssocSemiring",...
false
Matroid.IsBasis'.contract_indep_iff
Mathlib.Combinatorics.Matroid.Minor.Contract
[ "Matroid.IsBasis'.contract_eq_contract_delete", "Eq.mpr", "Set.disjoint_union_right", "ChainCompletePartialOrder.instOfCompleteLattice", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "Iff.rfl", "Matroid.IsBasis'", "PartialOrder.toPreorder", "Set.union_eq_self_of_subset_right", "...
true
ValuativeRel.instCommMonoidWithZeroValueGroupWithZero._proof_3
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Submonoid.mul", "HMul.hMul", "congrArg", "Membership.mem", "Subtype", "Submonoid.toMulOneClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "_private.Mathlib.RingTheory.Valuation.ValuativeRel.Basic.0.ValuativeRel.instCommMonoidWithZeroValueGroupWithZero._s...
false
CategoryTheory.prod.prodμ_unitIso_hom_app
Mathlib.CategoryTheory.Products.Associator
[ "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.prod", "CategoryTheory.Equivalence.prod", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Prod.mkHom", "CategoryTheory.Equivalence.refl", "CategoryTheory.Functor.category", "Catego...
true
Function.locallyFinsuppWithin.instSMulInt
Mathlib.Topology.LocallyFinsupp
[ "AddGroup.toSubtractionMonoid", "instHSMul", "Function.locallyFinsuppWithin.instFunLike", "SMul", "SMul.mk", "SubtractionMonoid.toSubNegZeroMonoid", "Int", "SubNegZeroMonoid.toNegZeroClass", "Function.locallyFinsuppWithin.mk_of_mem_addSubgroup", "TopologicalSpace", "AddGroup", "AddGroup.toSubN...
true
CategoryTheory.Lax.OplaxTrans.Hom.of.inj
Mathlib.CategoryTheory.Bicategory.Modification.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Lax.OplaxTrans.instCategoryStructLaxFunctor", "CategoryTheory.Bicategory", "CategoryTheory.Lax.OplaxTrans.Hom.of", "eq_of_heq", "CategoryTheory.Lax.OplaxTrans.Hom", "HEq", "CategoryTheory.LaxFunctor", "CategoryTheory.Lax.Oplax...
true
_private.Mathlib.CategoryTheory.Iso.0.CategoryTheory.Iso.homFromEquiv._proof_1
Mathlib.CategoryTheory.Iso
[ "False", "Function.LeftInverse", "eq_false", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Function.LeftInverse.eq_1", "Classical.byContradiction", "Exists", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "Eq.mp", "id", "CategoryTheory.Iso", "...
false
WeierstrassCurve.Jacobian.nonsingular_iff_of_Y_eq_negY
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Formula
[ "ne_self_iff_false", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Finsupp.instAddZeroClass", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "False", "Nat.instMulZeroClass", "Mathlib.Meta.NormNu...
true
Std.DTreeMap.Internal.Impl.Const.get!_alter_self
Std.Data.DTreeMap.Internal.Lemmas
[ "instDecidableEqOrdering", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "congrArg", "Std.TransOrd", "HSub.hSub", "Ordering", "Std.DTreeMap.Internal.Impl.Const.get!", "Ordering.eq", "Std.DTreeMap.Internal.Impl.size", "Option.get!", "instSubNat", "instOfNatNat", "Std.DTreeMap....
true
Units.divp_sub
Mathlib.Algebra.Ring.Units
[ "Units.val", "Eq.mpr", "MulOne.toOne", "Semigroup.toMul", "HMul.hMul", "Ring.toNonAssocRing", "Monoid.toMulOneClass", "AddGroupWithOne.toAddGroup", "congrArg", "NonUnitalNonAssocRing.toAddCommGroup", "mul_assoc", "HSub.hSub", "AddCommGroup.toAddGroup", "SemigroupWithZero.toSemigroup", "U...
true
Set.disjoint_image_left
Mathlib.Data.Set.Image
[ "Eq.mpr", "congrArg", "Disjoint", "SemilatticeInf.toPartialOrder", "id", "BiheytingAlgebra.toHeytingAlgebra", "BiheytingAlgebra.toCoheytingAlgebra", "Set.instInter", "BooleanAlgebra.toBiheytingAlgebra", "Inter.inter", "iff_self", "Iff", "Set.Nonempty", "Set.preimage", "Set.instBooleanAlg...
true
DividedPowerAlgebra.Rel.recOn
Mathlib.RingTheory.DividedPowerAlgebra.Init
[ "Finsupp.instAddZeroClass", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "DividedPowerAlgebra.Rel.smul", "instHSMul", "Nat.choose", "HMul.hMul", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", ...
false
SimpleGraph.cliqueSet
Mathlib.Combinatorics.SimpleGraph.Clique
[ "SimpleGraph.IsNClique", "Finset", "setOf", "SimpleGraph", "Nat", "Set" ]
true
Lean.Meta.Match.Pattern.hasExprMVar._unsafe_rec
Lean.Meta.Match.Basic
[ "Lean.Expr", "Lean.FVarId", "Lean.Level", "List", "Lean.Meta.Match.Pattern.hasExprMVar._unsafe_rec", "Bool", "Bool.or", "List.any", "Lean.Name", "Lean.Meta.Match.Pattern", "_private.Lean.Meta.Match.Basic.0.Lean.Meta.Match.Pattern.hasExprMVar.match_1", "Bool.false", "Lean.Expr.hasExprMVar" ]
false
ModuleCat.biproductIsoPi
Mathlib.Algebra.Category.ModuleCat.Biproducts
[ "CategoryTheory.Limits.biproduct.bicone", "ModuleCat", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Limits.Bicone.toCone", "CategoryTheory.Limits.IsLimit.conePointUniqueUpToIso", "Finite", "Pi.module", "CategoryTheory.Discrete.functor", "CategoryTheory.Iso", "ModuleCat.biproductIsoPi._proof_1",...
true
AddAction.IsPretransitive
Mathlib.Algebra.Group.Action.Pretransitive
[ "VAdd", "AddAction.IsPretransitive.mk" ]
true
Monoid.CoprodI.Word.prod_cons
Mathlib.GroupTheory.CoprodI
[ "Monoid", "Monoid.CoprodI.Word.fstIdx", "MulOne.toOne", "MonoidHom.instFunLike", "Monoid.CoprodI.of", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "Monoid.CoprodI.Word.prod", "List.map", "Monoid.CoprodI.Word.toList", "Option.some", "MulOne.toMul", "Monoid.CoprodI.Word", "Ne", "Sig...
true
Lean.Meta.SynthInstance.Context._sizeOf_inst
Lean.Meta.SynthInstance
[ "Lean.Meta.SynthInstance.Context", "SizeOf.mk", "Lean.Meta.SynthInstance.Context._sizeOf_1", "SizeOf" ]
false
instOneTangentSpaceRealModelWithCornersSelf
Mathlib.Geometry.Manifold.Instances.Icc
[ "InnerProductSpace.toNormedSpace", "Real", "One", "One.mk", "chartedSpaceSelf", "Real.denselyNormedField", "Real.instRCLike", "PseudoMetricSpace.toUniformSpace", "Real.normedAddCommGroup", "Real.instOne", "SeminormedAddCommGroup.toPseudoMetricSpace", "TangentSpace", "One.toOfNat1", "Real.p...
true
Metric.unitSphere.instGroup
Mathlib.Analysis.Normed.Field.UnitBall
[ "Metric.unitSphere.instGroup._proof_4", "Metric.unitSphere.instDiv", "Metric.unitSphere.instInv", "Real", "NormedDivisionRing.toNormMulClass", "DivInvMonoid.mk", "NormedDivisionRing.toNormedRing", "DivInvMonoid.toZPow", "Group", "NormedDivisionRing.toDivisionRing", "Membership.mem", "DivisionR...
true
CategoryTheory.Grp.tensorUnit_one
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.Grp.instMonoidalCategoryStruct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Grp.instCategory", "CategoryTheory.GrpObj.toMonObj", "CategoryTheory.Grp.grp", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCa...
true
finprod_pow
Mathlib.Algebra.BigOperators.Finprod
[ "MulOne.toOne", "Monoid.toMulOneClass", "Monoid.toPow", "MulOneClass.toMulOne", "finprod", "HPow.hPow", "CommMonoid.toMonoid", "Nat", "powMonoidHom", "MonoidHom.map_finprod", "Function.HasFiniteMulSupport", "instHPow", "Eq", "CommMonoid" ]
true
Std.DTreeMap.size_insertIfNew_le
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.inner", "instOfNatNat", "LE.le", "Std.DTreeMap.insertIfNew", "Std.TransCmp", "instLENat", "Std.DTreeMap.size", "instHAdd", "HAdd.hAdd", "Std.DTreeMap.Internal.Impl.size_insertIfNew_le", "Nat", "Std.DTreeMap.wf", "instAddNat", "OfNat...
true
DirectLimit.NonUnitalRing.of._proof_1
Mathlib.Algebra.Colimit.DirectLimit
[ "DirectLimit.setoid", "HMul.hMul", "DirectLimit.instMul", "Preorder.toLE", "DirectLimit.mul_def", "LE.le", "Quotient.mk", "Quotient", "Distrib.toMul", "IsDirectedOrder", "DirectLimit.instNonUnitalNonAssocSemiringOfNonUnitalRingHomClass._proof_4", "NonUnitalNonAssocSemiring.toDistrib", "NonUn...
false
Finmap.keysLookupEquiv._proof_4
Mathlib.Data.Finmap
[ "Finset", "Finmap.mk", "Membership.mem", "Finmap.keysLookupEquiv._proof_6", "Finset.sigma", "Subtype", "Prod.mk", "Finmap.lookup", "Option.toFinset", "Finset.val", "Prod.fst", "Subtype.mk", "Bool.true", "Iff", "Finset.instSetLike", "Finmap.keysLookupEquiv._proof_14", "Finmap.keysLook...
false
_private.Mathlib.Computability.TuringMachine.PostTuringMachine.0.Option.isSome.match_1.splitter
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Option.isSome.match_1", "Option.some", "Option.none", "Unit", "Option" ]
true
OrderIso.sumAssoc
Mathlib.Data.Sum.Order
[ "RelIso.mk", "OrderIso.sumAssoc._proof_2", "Sum", "Equiv", "OrderIso", "LE.le", "LE", "Equiv.sumAssoc", "Sum.instLESum" ]
true
CategoryTheory.Limits.isKernelOfComp._proof_1
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.KernelFork.condition_assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.Fork", "Catego...
false
AddMonoidAlgebra.one_def
Mathlib.Algebra.MonoidAlgebra.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddMonoidWithOne.toOne", "AddMonoidAlgebra.zero", "Semiring", "One.toOfNat1", "Zero.toOfNat0", "AddMonoidAlgebra", "OfNat.ofNat", "AddMonoidAlgebra.single", "Semiring.toNonAssocSemiring", "Eq", "rfl", "Z...
true
HNNExtension.NormalWord.TransversalPair.mk.inj
Mathlib.GroupTheory.HNNExtension
[ "HNNExtension.NormalWord.TransversalPair.mk", "Group", "Units", "Subgroup", "Int", "Int.instMonoid", "SetLike.coe", "HNNExtension.toSubgroup", "eq_of_heq", "HEq", "Subgroup.IsComplement", "HNNExtension.NormalWord.TransversalPair.mk.noConfusion", "Eq", "Subgroup.instSetLike", "HNNExtensio...
true
Std.Internal.Do.Spec.seq
Std.Internal.Do.Triple.SpecLemmas
[ "Iff.mpr", "Monad.toApplicative", "Std.Internal.Do.WPMonad", "Std.Internal.Do.Triple.iff", "Std.Internal.Do.Assertion", "Seq.seq", "Std.Internal.Do.Assertion.toCompleteLattice", "Lean.Order.PartialOrder.rel", "Std.Internal.Do.Triple", "Unit", "Applicative.toSeq", "Std.Internal.Do.Spec.seq'", ...
true
CategoryTheory.Equivalence.ε_comp_map_ε_assoc
Mathlib.CategoryTheory.Monoidal.Functor
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.LaxMonoidal.ε", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "Eq.mp", "id", "CategoryTheo...
true
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.mkApplyProjControlDiscrPath
Lean.Elab.Tactic.BVDecide.Frontend.Normalize.ApplyControlFlow
[ "Pure.pure", "Array.mkEmpty", "Array.push", "Monad.toApplicative", "HSub.hSub", "Lean.Meta.DiscrTree.Key.star", "Lean.Meta.DiscrTree.Key", "instSubNat", "instOfNatNat", "Id.run", "Id", "Applicative.toPure", "Array", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "LT.lt", "Lean.Meta....
true
Matrix.of_symm_single
Mathlib.Data.Matrix.Basis
[ "Equiv.instEquivLike", "Matrix", "Matrix.of", "Decidable", "Equiv", "Pi.instZero", "Pi.single", "congr_arg", "Decidable.rec", "Matrix.single_eq_of_single_single", "Eq.ndrec", "Zero.toOfNat0", "Equiv.symm", "OfNat.ofNat", "Eq.symm", "Eq", "DFunLike.coe", "Not", "EquivLike.toFunLik...
true
CategoryTheory.ProjectiveResolution.extAddEquivCohomologyClass_symm_apply
Mathlib.CategoryTheory.Abelian.Projective.Ext
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "Equiv.instEquivLike", "CochainComplex.singleFunctor", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Abelian.Ext.instAddCommGroup", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelM...
true