name
string
module
string
deps
list
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....
WithLp.toLp_fst
Mathlib.Analysis.Normed.Lp.ProdLp
[ "WithLp.toLp", "Prod.fst", "WithLp.fst", "ENNReal", "Prod", "Eq", "rfl" ]
_private.Mathlib.Data.List.Basic.0.List.length_eq_two'._proof_1_20
Mathlib.Data.List.Basic
[ "List.head", "List.getLast", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.nestedProof", "Lean.Grind.Order.lt_eq_true_of_le_k", "Lean.Grind.CommRing.Expr.var", "congrArg", "Lean.Grind.Order.le_o...
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...
_private.Lean.Meta.MethodSpecs.0.Lean.rewriteThm
Lean.Meta.MethodSpecs
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.Meta.Simp.Result.getProof", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Array.mkEmpty", "Lean.mkAppN", "Lean.PersistentArrayNode.node", "Lean.ConstantVal", "Lean.Meta.Simp.Diagnostics.mk", "Lean.Constant...
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", ...
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...
_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", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "_private.Mathlib.FieldTheory.RatFunc.Luroth.0.RatFunc.Luroth.c", "MulZeroClass.toMul", "Comple...
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...
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" ]
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...
Polynomial.coeff_ofFinsupp
Mathlib.Algebra.Polynomial.Basic
[ "Finsupp.instFunLike", "Eq.mpr", "congrArg", "Polynomial.coeff.eq_1", "NonUnitalNonAssocSemiring.toMulZeroClass", "id", "Polynomial.coeff", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Nat", "Semiring", "Eq.refl", "AddMonoidAlgebra", "Polynomial.ofFinsupp", "Semiring.toNonAssocSemiring...
AdjoinRoot.equiv'._proof_2
Mathlib.RingTheory.AdjoinRoot
[ "Nontrivial", "PowerBasis", "PowerBasis.exists_eq_aeval", "Eq.mpr", "PowerBasis.lift_aeval", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "AlgHom.algHomClass", "CommRing.toNonUnitalCommRing", "AdjoinRoot", "PowerBasis.dim", "congrArg", "CommSemiring.toSemiring", "AlgHom", ...
Localization.subalgebra.isFractionRing
Mathlib.RingTheory.Localization.AsSubring
[ "Subalgebra.instSetLike", "Localization.subalgebra.isLocalization_subalgebra", "CommRing", "IsScalarTower.right", "CommSemiring.toSemiring", "IsFractionRing", "PartialOrder.toPreorder", "IsFractionRing.isFractionRing_of_isLocalization", "Algebra", "Preorder.toLE", "Membership.mem", "nonZeroDiv...
Int16.toInt64_lt._simp_1
Init.Data.SInt.Lemmas
[ "instLTInt16", "Int16", "instLTInt64", "Int64", "LT.lt", "propext", "Int16.toInt64_lt", "Int16.toInt64", "Eq" ]
Ideal.Quotient.stabilizerHomSurjectiveAuxFunctor
Mathlib.RingTheory.Invariant.Profinite
[ "Subalgebra.instSetLike", "QuotientGroup.map", "Ideal.Quotient.commSemiring", "Submodule.instAddCommMonoidWithOne", "CategoryTheory.Functor", "Ideal.Quotient.algebraOfLiesOver", "CommRing", "MonoidHom.instFunLike", "Semiring.toModule", "OpenNormalSubgroup.instNormal", "AlgEquiv.toAlgHom", "Ide...
SetLike.Homogeneous.smul
Mathlib.Algebra.DirectSum.Internal
[ "Submodule", "instHSMul", "CommSemiring.toSemiring", "Algebra", "Algebra.toSMul", "Membership.mem", "Algebra.toModule", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "_private.Mathlib.Algebra.DirectSum.Internal.0.SetLike.Homogeneous.smul.match_1_1", "NonAssocSemiring.toNonUnitalNo...
jacobiTheta₂'_term
Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable
[ "Int.cast", "Real.pi", "HMul.hMul", "jacobiTheta₂_term", "Complex.instMul", "Int", "Complex.instNatCast", "Complex.instIntCast", "Complex.ofReal", "jacobiTheta₂_term._proof_1", "Complex", "OfNat.ofNat", "instOfNatAtLeastTwo", "instHMul", "Complex.I" ]
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.getD_eq_fallback_of_contains_eq_false._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
CategoryTheory.AB5StarOfSize.rec
Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic
[ "CategoryTheory.AB5StarOfSize", "CategoryTheory.IsCofiltered", "CategoryTheory.AB5StarOfSize.mk", "CategoryTheory.Limits.HasCofilteredLimitsOfSize", "CategoryTheory.Limits.hasLimitsOfShape_of_has_cofiltered_limits", "CategoryTheory.HasExactLimitsOfShape", "CategoryTheory.Category" ]
Lean.Server.Test.Runner.Client.MsgEmbed.trace.injEq
Lean.Server.Test.Runner
[ "Lean.Server.Test.Runner.Client.MsgEmbed.trace.inj", "Lean.Server.Test.Runner.Client.MsgEmbed.trace", "Eq.propIntro", "Lean.injEq_helper", "Lean.Widget.TaggedText", "Lean.Server.Test.Runner.Client.MsgEmbed", "Array", "Lean.Server.Test.Runner.Client.StrictOrLazy", "And", "Nat", "Bool", "Eq.ndre...
VectorBundleCore.trivializationAt_coordChange_eq
Mathlib.Topology.VectorBundle.Basic
[ "FiberBundleCore.indexAt", "VectorBundleCore.Fiber", "NormedSpace", "trivialization_linear", "ContinuousLinearMap.funLike", "VectorBundleCore.toTopologicalSpace", "NormedSpace.toModule", "instMemTrivializationAtlasTrivializationAt", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedFi...
Aesop.EqualUpToIds.MVarValue._sizeOf_inst
Aesop.Util.EqualUpToIds
[ "Aesop.EqualUpToIds.MVarValue._sizeOf_1", "SizeOf.mk", "SizeOf", "Aesop.EqualUpToIds.MVarValue" ]
Std.Net.InterfaceAddress.address
Std.Net.Addr
[ "Std.Net.IPAddr", "Std.Net.InterfaceAddress" ]
Lean.Doc.elabInline._unsafe_rec
Lean.Elab.DocString
[ "Pure.pure", "Lean.ScopedEnvExtension.StateStack", "cond", "Lean.instMonadEnvOfMonadLift", "Lean.Syntax.Range", "Lean.Doc.Inline.text", "Lean.Doc.Context", "Lean.TSyntax", "Lean.MessageData", "Array.instAppend", "Lean.MonadError.mk", "Unit.unit", "Lean.Exception.internal", "Lean.instMonadE...
AdjoinRoot.algEquivOfAssociated_symm
Mathlib.RingTheory.AdjoinRoot
[ "CommRing", "AdjoinRoot", "AlgEquiv.symm", "CommSemiring.toSemiring", "Algebra", "Polynomial", "Associated.symm", "AdjoinRoot.instAlgebra", "CommRing.toCommSemiring", "Associated", "AlgEquiv", "AdjoinRoot.algEquivOfAssociated", "Polynomial.semiring", "AdjoinRoot.instCommRing", "Eq", "M...
Lean.MonadTrace.getTraceState
Lean.Util.Trace
[ "Lean.MonadTrace", "Lean.TraceState" ]
ConditionallyCompleteLinearOrder.toSuccOrder
Mathlib.Order.SuccPred.CompleteLinearOrder
[ "Preorder.toLT", "WellFoundedLT", "PartialOrder.toPreorder", "setOf", "Classical.propDecidable", "Preorder.toLE", "LE.le", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "ConditionallyCompleteLinearOrder.toSuccOrder._proof_1", "ConditionallyCompleteLinearOrder.toSuccOrder._proo...
Std.TreeSet.Raw.min!_eq_default
Std.Data.TreeSet.Raw.Lemmas
[ "Inhabited.default", "Std.TreeSet.Raw.WF.out", "Std.TreeSet.Raw.min!", "Ordering", "Std.TreeMap.Raw.minKey!_eq_default", "Std.TransCmp", "Bool.true", "Std.TreeSet.Raw", "Unit", "Bool", "Inhabited", "Std.TreeSet.Raw.isEmpty", "Std.TreeSet.Raw.inner", "Eq", "Std.TreeSet.Raw.WF" ]
IO.FS.createDir
Init.System.IO
[ "Inhabited.default", "instInhabitedError", "IO", "instInhabitedEIO", "Pi.instInhabited", "Unit", "IO.Error", "System.FilePath" ]
_private.Mathlib.MeasureTheory.OuterMeasure.Caratheodory.0.MeasureTheory.OuterMeasure.isCaratheodory_iUnion_lt.match_1_1
Mathlib.MeasureTheory.OuterMeasure.Caratheodory
[ "MeasureTheory.OuterMeasure.IsCaratheodory", "MeasureTheory.OuterMeasure", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "Nat.zero", "instLTNat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn", "Set" ]
_private.Mathlib.Geometry.Euclidean.Congruence.0.EuclideanGeometry.angle_angle_side._proof_1_2
Mathlib.Geometry.Euclidean.Congruence
[ "instLawfulOrderLT_mathlib", "InnerProductSpace.toNormedSpace", "of_eq_false", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "Real.partialOrder", "Real.instLE", "Real", "Collinear", "Lean.Grind.CommRing.Mon.mult", "instHDiv", "Lean.Grind.not_not", "Real.pi", "Lean.Grind.Com...
_private.Lean.Util.LeanOptions.0.Lean.LeanOptions.toOptions.match_1
Lean.Util.LeanOptions
[ "Prod.mk", "Lean.Name", "Lean.LeanOptionValue", "Prod", "Prod.casesOn" ]
Std.ExtDHashMap.Const.getKey!_filterMap
Std.Data.ExtDHashMap.Lemmas
[ "Option.pfilter", "Std.ExtDHashMap.getKey!", "Option.some", "Std.DHashMap.Const.getKey!_filterMap", "Std.ExtDHashMap.inductionOn", "Option.get!", "LawfulHashable", "Std.ExtDHashMap.mem_of_getKey?_eq_some", "Std.ExtDHashMap.getKey?", "EquivBEq", "Std.ExtDHashMap", "Std.ExtDHashMap.Const.get", ...
BoundedContinuousFunction.coeFn_toLp
Mathlib.MeasureTheory.Function.LpSpace.ContinuousFunctions
[ "MeasureTheory.ae", "MeasureTheory.Measure", "NormedRing.toRing", "Ring.toNonAssocRing", "BoundedContinuousFunction.toLp", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "MeasureTheory.AEEqFun.cast", "ContinuousLinearMap.funLike", "ContinuousMap", "BoundedContinuousFunction.to...
Cauchy.eq_1
Mathlib.Topology.UniformSpace.Cauchy
[ "UniformSpace", "Cauchy", "SProd.sprod", "Filter.NeBot", "uniformity", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "And", "Eq.refl", "Prod", "Filter.instSProd", "Eq", "Filter", "Filter.instPartialOrder" ]
CategoryTheory.Over.postAdjunctionRight._proof_6
Mathlib.CategoryTheory.Comma.Over.Basic
[ "CategoryTheory.Over.map", "CategoryTheory.Over", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Comma.left", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Comma.hom", "Ca...
Vector.mapFinIdx_append._proof_4
Init.Data.Vector.MapIdx
[ "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "instAddNat", "instLTNat", "_private.Init.Data.Vector.MapIdx.0.Vector.mapFinIdx_append._proof_3", "Not" ]
Matrix.kroneckerTMulStarAlgEquiv_symm_apply
Mathlib.RingTheory.MatrixAlgebra
[ "Matrix.instStar", "Matrix.smul", "NonAssocSemiring.toAddCommMonoidWithOne", "LinearEquiv.symm", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "Matrix.add", "TensorProduct.add", "IsScalarTower.right", "Matrix.module", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoi...
FirstOrder.Language.PartialEquiv.toEmbeddingOfEqTop
Mathlib.ModelTheory.PartialEquiv
[ "FirstOrder.Language.Embedding.comp", "FirstOrder.Language.Substructure.inducedStructure", "FirstOrder.Language.PartialEquiv.toEmbedding", "FirstOrder.Language.PartialEquiv.dom", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "Eq.rec", "Subtype", "FirstOrder.Language.Substructure....
_private.Mathlib.Analysis.SpecialFunctions.Log.RpowTendsto.0.Real.tendstoLocallyUniformlyOn_rpow_sub_one_log._proof_1_12
Mathlib.Analysis.SpecialFunctions.Log.RpowTendsto
[ "instLawfulOrderLT_mathlib", "GroupWithZero.toMonoidWithZero", "Lean.Grind.CommRing.le_norm_expr", "Lean.RArray.leaf", "Lean.Grind.Field.toCommRing", "False", "Real.partialOrder", "Real.instLE", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "GroupWithZero.toDivisionMonoid", "DivInvO...
Function.Periodic.eq_1
Mathlib.Algebra.Ring.Periodic
[ "instHAdd", "HAdd.hAdd", "Function.Periodic", "Eq.refl", "Eq", "Add" ]
AddMonoidHom.codRestrict
Mathlib.Algebra.Group.Submonoid.Operations
[ "SetLike", "AddSubmonoidClass.toAddZeroClass", "Membership.mem", "AddSubmonoidClass", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "Subtype", "ZeroHom.mk", "Subtype.mk", "AddZero.toZero", "AddZeroClass", "AddMonoidHom.codRestrict._proof_2", "AddMonoidHom", "AddMonoidHom.instFunLike", "DF...
_private.Init.Data.Array.Extract.0.Array.extract_size_left._proof_1_1
Init.Data.Array.Extract
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Int.decLe", "Lean.Omega.LinearCombo.eval", ...
quotAdjoinEquivQuotMap._proof_2
Mathlib.RingTheory.Conductor
[ "RingHom.instRingHomClass", "CommRing", "CommSemiring.toSemiring", "RingHom", "CommRing.toCommSemiring", "RingHom.instFunLike", "Semiring.toNonAssocSemiring", "RingHomClass" ]
CategoryTheory.functorProdFunctorEquivUnitIso
Mathlib.CategoryTheory.Products.Basic
[ "CategoryTheory.Functor", "CategoryTheory.functorProdFunctorEquivUnitIso._proof_2", "CategoryTheory.prodFunctorToFunctorProd", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.prod'CompSnd", "CategoryTheory.Functor.id", "CategoryTheory.Iso", "Prod.mk", "Cat...
_private.Mathlib.NumberTheory.Ostrowski.0.Rat.AbsoluteValue.equiv_padic_of_bounded._simp_1_6
Mathlib.NumberTheory.Ostrowski
[ "Real.instPow", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "LE.le", "HPow.hPow", "Real.instMul", "Zero.toOfNat0", "instHPow", "Real.rpow_mul", "OfNat.ofNat", "Eq.symm", "Eq", "instHMul" ]
CategoryTheory.instDecidableEqPairwise.decEq._proof_2
Mathlib.CategoryTheory.Category.Pairwise
[ "CategoryTheory.Pairwise", "Eq", "CategoryTheory.Pairwise.pair", "rfl" ]
Int.getD_toList_roo_eq_fallback
Init.Data.Range.Polymorphic.IntLemmas
[ "Int.getElem?_toList_roo_eq_none", "congrArg", "Std.PRange.instUpwardEnumerableInt", "HSub.hSub", "Option.getD", "List.instGetElem?NatLtLength", "List.getD", "Int", "LE.le", "instLENat", "Std.PRange.instIsAlwaysFiniteInt_1", "Int.instLTInt", "Option.none", "List", "instHAdd", "instHSub...
Nat.instMonoidWithZero
Mathlib.Algebra.GroupWithZero.Nat
[ "Monoid", "SemigroupWithZero", "Nat.instMulZeroClass", "Nat.instSemigroupWithZero", "Nat.instMonoid", "MulZeroClass.zero_mul", "MulZeroClass", "MulZeroClass.mul_zero", "MonoidWithZero", "Nat", "MulZeroClass.toZero", "MonoidWithZero.mk" ]
Array.any_flatten'
Init.Data.Array.Lemmas
[ "Array.array₂_induction", "Array.flatten", "congrArg", "Array.any_congr", "List.map", "List.sum", "Zero.ofOfNat0", "Function.comp", "Array.any", "instOfNatNat", "List.toArray", "Array.flatten_toArray_map_toArray", "Array", "List.any_toArray'", "funext", "List", "List.size_toArray", ...
_private.Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform.0.CategoryTheory.Limits.CatCospanTransform.instIsIsoWhiskerRight._simp_1
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.CatCospanTransformMorphism.whiskerRight", "CategoryTheory.Limits.CatCospanTransform.comp_whiskerRight", "CategoryTheory.Limits.CatCospanTransform.comp", "CategoryTheory.CategoryStruct.comp", "Categ...
CategoryTheory.MonoOver.imageMonoOver
Mathlib.CategoryTheory.Subobject.MonoOver
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.image.ι", "CategoryTheory.MonoOver.mk", "CategoryTheory.Limits.instMonoι", "CategoryTheory.Limits.image", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.MonoOver", "CategoryTheory.Limits.HasImage", "Categor...
fintypeAffineCoords.eq_1
Mathlib.LinearAlgebra.AffineSpace.Basis
[ "Pi.Function.module", "Semiring.toModule", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "AddGroupWithOne.toAddMonoidWithOne", "AddCommGroup.toAddGroup", "Set.instSingletonSet", "addGroupIsAddTorsor", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "LinearMap.toAffineMap", "NonUnital...
Lean.PrettyPrinter.Delaborator.delabNeg
Lean.PrettyPrinter.Delaborator.Builtins
[ "Lean.getPPNumericTypes", "Lean.PrettyPrinter.Delaborator.getPPOption", "Lean.PrettyPrinter.Delaborator.Context", "Lean.PrettyPrinter.Delaborator.Delab", "ReaderT.instMonad", "Lean.PrettyPrinter.Delaborator.DelabM", "Lean.Meta.MetaM", "IO.RealWorld", "Lean.Syntax.Term", "Lean.Meta.instMonadMetaM",...
Filter.Tendsto.inseparable_iff_uniformity
Mathlib.Topology.UniformSpace.Separation
[ "UniformSpace", "Eq.mpr", "ClusterPt.mono", "ClusterPt.of_le_nhds", "congrArg", "Filter.map", "Filter.NeBot", "uniformity", "instTopologicalSpaceProd", "nhds", "id", "Prod.mk", "Filter.map_neBot", "ClusterPt", "Iff", "Filter.Tendsto", "Iff.intro", "propext", "inseparable_iff_clus...
_private.Mathlib.Topology.Algebra.AsymptoticCone.0.zero_mem_asymptoticCone._simp_1_1
Mathlib.Topology.Algebra.AsymptoticCone
[ "Set.not_nonempty_iff_eq_empty", "Set.Nonempty", "propext", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Not", "Set" ]
CategoryTheory.Functor.structuredArrowMapCone._proof_1
Mathlib.CategoryTheory.Functor.KanExtension.Pointwise
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Comma.hom", "CategoryTheory.Functor.map", "CategoryTheory...
MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "MeasureTheory.Measure", "MeasurableSet", "CompleteLattice.instOmegaCompletePartialOrder", "Function.onFun", "ENNReal.instAddCommMonoid", "CompleteBooleanAlgebra.toCompleteDistribLattice", "MeasurableSet.nullMeasurableSet", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "Ne", "LE.le",...
SubMulAction.ofStabilizer.conjMap._proof_4
Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer
[ "SubMulAction.instSetLike", "False", "instHSMul", "SubMulAction.ofStabilizer.conjMap._proof_1", "SubMulAction.ofStabilizer.conjMap._proof_3", "Group", "Membership.mem", "Subgroup.instMulAction", "Set.instSingletonSet", "Subtype", "DivInvMonoid.toMonoid", "Subgroup", "SubMulAction.ofStabilize...
RegularExpression.matches'.eq_def
Mathlib.Computability.RegularExpressions
[ "RegularExpression.matches'.match_1", "Eq.mpr", "RegularExpression.rec", "Language.instOne", "HMul.hMul", "Language.instAdd", "congrArg", "KStar.kstar", "RegularExpression", "RegularExpression.char", "RegularExpression.brecOn.eq", "Language.instSingletonList", "id", "RegularExpression.comp...
_private.Init.Data.Array.Lemmas.0.Array.all_toList._simp_1_1
Init.Data.Array.Lemmas
[ "Membership.mem", "Exists", "GetElem.getElem", "List", "List.instMembership", "Nat", "LT.lt", "propext", "List.mem_iff_getElem", "instLTNat", "List.instGetElemNatLtLength", "Eq", "List.length" ]
Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_tacticStop__1
Init.Tactics
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad", "Lean.TSy...
Finset.eventually_cocardinal_notMem
Mathlib.Order.Filter.Cocardinal
[ "Cardinal.IsRegular", "Cardinal", "Finset", "Filter.Eventually", "PartialOrder.toPreorder", "Cardinal.mk", "Membership.mem", "Cardinal.IsRegular.aleph0_le", "Set.Elem", "Cardinal.aleph0", "Cardinal.partialOrder", "SetLike.coe", "Finset.instSetLike", "LT.lt.trans_le", "Filter.eventually_c...
star_mul_self_nonneg._simp_1
Mathlib.Algebra.Order.Star.Basic
[ "HMul.hMul", "PartialOrder.toPreorder", "NonUnitalNonAssocSemiring.toMulZeroClass", "Preorder.toLE", "PartialOrder", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "LE.le", "StarAddMonoid.toInvolutiveStar", "star_mul_self_nonneg", "NonUnitalNonAssocSemiring.toAddCommMonoid", "StarRing.toStarAd...
Multiset.dedup_cons_of_mem
Mathlib.Data.Multiset.Dedup
[ "Multiset.dedup", "List.dedup", "Membership.mem", "Multiset", "Multiset.cons", "List.cons", "congr_arg", "Quot.induction_on", "Multiset.instMembership", "List", "Multiset.ofList", "List.dedup_cons_of_mem", "List.isSetoid", "Eq", "Setoid.r", "Quot.mk", "DecidableEq" ]
String.Pos.find?
Init.Data.String.Search
[ "String.toSlice", "String.Slice.Pos.find?", "String", "String.Slice.Pattern.SearchStep", "String.Pos.toSlice", "Std.IteratorLoop", "String.Slice", "String.Slice.Pattern.ToForwardSearcher", "Id", "Std.Iterator", "Option.map", "String.Pos.ofToSlice", "String.Pos", "String.Slice.Pos", "Opti...
CategoryTheory.ShortComplex.isLimitOfIsLimitπ
Mathlib.Algebra.Homology.ShortComplex.Limits
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.ShortComplex", "CategoryT...
Set.biInter_finsetSigma_univ'
Mathlib.Data.Fintype.Sigma
[ "Set.ext", "Eq.mpr", "Finset.univ", "and_true", "Iff.of_eq", "congrArg", "Set.iInter", "Finset", "Membership.mem", "Finset.sigma", "id", "Finset.mem_sigma._simp_1", "Sigma.fst", "Set.mem_iInter._simp_1", "funext", "And", "Iff", "Fintype", "Finset.instSetLike", "congr", "True"...
_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.encodeExprWithEta.go._unsafe_rec
Mathlib.Lean.Meta.RefinedDiscrTree.Encode
[ "Pure.pure", "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.encodeExprWithEta.go.match_6", "Lean.Meta.RefinedDiscrTree.evalLazyEntry", "Array.push", "_private.Mathlib.Lean.Meta.RefinedDiscrTree.Encode.0.Lean.Meta.RefinedDiscrTree.encodeExprWithEta._proof_3", "Lean.Meta.St...
QuadraticModuleCat.instMonoidalCategoryStruct._proof_1
Mathlib.LinearAlgebra.QuadraticForm.QuadraticModuleCat.Monoidal
[ "NonAssocSemiring.toAddCommMonoidWithOne", "CommRing", "Algebra.to_smulCommClass", "CommSemiring.toSemiring", "instDistribSMul", "AddMonoid.toAddZeroClass", "Algebra.toSMul", "AddZeroClass.toAddZero", "Algebra.id", "DistribSMul.toSMulZeroClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "AddZ...
Std.Internal.IO.Async.UDP.Membership.rec
Std.Internal.Async.UDP
[ "Std.Internal.IO.Async.UDP.Membership", "Std.Internal.IO.Async.UDP.Membership.enterGroup", "Std.Internal.IO.Async.UDP.Membership.leaveGroup" ]
LinearPMap.sSup
Mathlib.LinearAlgebra.LinearPMap
[ "Submodule", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "Submodule.completeLattice", "DirectedOn", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "AddCommGroup", "Subtype", "upperBounds", "Submodule.module", "LE.le", "LinearMap", "LinearPMap", "Submod...
AddOpposite.one_le_op._simp_1
Mathlib.Algebra.Order.Group.Opposite
[ "MulOne.toOne", "Monoid.toMulOneClass", "AddOpposite.instPreorder", "PartialOrder.toPreorder", "Preorder.toLE", "AddOpposite.one_le_op", "AddOpposite", "PartialOrder", "LE.le", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "propext", "One.toOfNat1", "AddOpposite.instOne", "OfNat.ofNat",...
CategoryTheory.linearYoneda_map_app
Mathlib.CategoryTheory.Linear.Yoneda
[ "CategoryTheory.linearYoneda._proof_2", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "ModuleCat", "CategoryTheory.Functor.mk", "CategoryTheory.Linear", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "CategoryTheory.linearYoneda._proof_4", ...
CommSemiRingCat.instConcreteCategoryRingHomCarrier
Mathlib.Algebra.Category.Ring.Basic
[ "CommSemiRingCat.instConcreteCategoryRingHomCarrier._proof_1", "CommSemiRingCat.Hom.hom'", "CommSemiRingCat.instConcreteCategoryRingHomCarrier._proof_4", "CommSemiring.toSemiring", "CommSemiRingCat.carrier", "CategoryTheory.ConcreteCategory.mk", "CommSemiRingCat.instConcreteCategoryRingHomCarrier._proof...
Pi.instPNatPowAssoc
Mathlib.Algebra.Group.PNatPowAssoc
[ "HMul.hMul", "Pow", "congrArg", "Mul", "Pi.instPow", "instOfNatPNatOfNeZeroNat", "instOfNatNat", "ppow_one", "funext", "instHAdd", "HPow.hPow", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "True", "eq_self", "PNatPowAssoc", "of_eq_true", "Pi.instMul", "congrFun'", "instHPow", ...
AddGrpCat.addGroupObj._aux_1
Mathlib.Algebra.Category.Grp.Limits
[ "CategoryTheory.Functor", "AddGrpCat.instCategory", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.comp", "AddZeroClass.toAddZero", "AddGrpCat", "AddGroup", "AddGroup.toSubNegMonoid", "AddGrpCat.carrier", "CategoryTheory.types", "CategoryTheory.forget", "SubNegMonoid.toAddMonoid", "AddM...
Lean.KeyedDeclsAttribute.noConfusionType
Lean.KeyedDeclsAttribute
[ "Lean.KeyedDeclsAttribute.Table", "Lean.KeyedDeclsAttribute.casesOn", "Lean.KeyedDeclsAttribute", "Lean.KeyedDeclsAttribute.Def", "HEq", "IO.Ref", "Lean.KeyedDeclsAttribute.Extension" ]
Lean.Elab.Do.elabNestedAction
Lean.Elab.Do.Basic
[ "Lean.TSyntax", "Lean.MessageData", "Lean.Elab.Term.TermElab", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Elab.Term.instAddErrorMessageContextTermElabM", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Elab.Term.instMonadTermElabM", "String", "Lean.Meta.State", "L...
WType.Listα.cons
Mathlib.Data.W.Constructions
[ "WType.Listα", "WType.Listα.cons" ]
_private.Lean.Meta.Tactic.SplitIf.0.Lean.Meta.initFn._@.Lean.Meta.Tactic.SplitIf.3526097586._hygCtx._hyg.2
Lean.Meta.Tactic.SplitIf
[ "Lean.Name.mkNum", "IO", "Lean.Name.mkStr3", "Lean.Name.mkStr", "instOfNatNat", "Lean.registerTraceClass", "Lean.Name.anonymous", "Unit", "Nat", "OfNat.ofNat", "Bool.false" ]
Turing.ToPartrec.Code.zero_eval
Mathlib.Computability.TuringMachine.Config
[ "Pure.pure", "Part", "Turing.ToPartrec.Code.nil_eval", "Turing.ToPartrec.Code.nil", "congrArg", "Part.some", "Part.bind_some", "Monad.toApplicative", "Turing.ToPartrec.Code.zero'_eval", "instInhabitedNat", "Turing.ToPartrec.Code.eval", "instOfNatNat", "Applicative.toPure", "List.cons", "...
Mathlib.Tactic.BicategoryLike.State.mk._flat_ctor
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.State", "Lean.PersistentExprMap", "Mathlib.Tactic.BicategoryLike.State.mk" ]
Subgroup.zpow._proof_1
Mathlib.Algebra.Group.Subgroup.Defs
[ "DivInvMonoid.toZPow", "Group", "Membership.mem", "Subtype", "Subgroup", "Int", "Group.toDivInvMonoid", "HPow.hPow", "instHPow", "Subtype.val", "SetLike.instMembership", "Subgroup.instSetLike", "Subgroup.zpow_mem", "Subtype.property" ]
Std.ExtDHashMap.Const.getKey?_insertManyIfNewUnit_list_of_not_mem_of_mem
Std.Data.ExtDHashMap.Lemmas
[ "Eq.mpr", "Std.DHashMap.Const.insertManyIfNewUnit", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "List.Pairwise", "congrArg", "instForInOfForIn'", "Option.some", "Membership.mem", "inferInstance", "id", "Std.ExtDHashMap.inductionOn", "Std.ExtDHashMap.mk", "Id", "Membership",...
Array.PrefixTable.step._proof_12
Batteries.Data.Array.Match
[ "Array.PrefixTable.toArray", "instOfNatNat", "Array", "GetElem.getElem", "instHAdd", "Array.PrefixTable", "Array.instGetElemNatLtSize", "HAdd.hAdd", "Nat", "LT.lt", "instAddNat", "Nat.lt_trans", "instLTNat", "Array.PrefixTable.size", "Prod", "OfNat.ofNat", "Prod.snd", "Array.size" ...
Matrix.PosSemidef.kronecker
Mathlib.Analysis.Matrix.Order
[ "Matrix.posSemidef_conjTranspose_mul_self", "NormedCommRing.toNormedRing", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Eq.mpr", "InnerProductSpace.toNormedSpace", "Matrix.instStar", "NormedCommRing.toSeminormedCommRing", "IsSelfAdjoint", "Real", "Algebra.to_smulCommClass", "Fin...
_private.Mathlib.Data.Nat.Factorial.DoubleFactorial.0.Nat.doubleFactorial.match_1.eq_2
Mathlib.Data.Nat.Factorial.DoubleFactorial
[ "Unit.unit", "Nat.doubleFactorial.match_1", "instOfNatNat", "Unit", "Nat", "Eq.refl", "OfNat.ofNat", "Nat.succ", "Eq" ]
Sym2.coe_map
Mathlib.Data.Sym.Sym2
[ "Sym2.map", "Set.image_pair", "Sym2.mk", "congrArg", "Set.instSingletonSet", "Insert.insert", "Sym2.coe_mk", "Sym2.ind", "Set.instInsert", "SetLike.coe", "congr", "True", "Sym2.instSetLike", "eq_self", "of_eq_true", "Eq.ndrec", "Eq.refl", "Set.image", "Singleton.singleton", "Eq...
_private.Mathlib.CategoryTheory.Limits.Preserves.Shapes.Zero.0.CategoryTheory.Functor.map_isZero._simp_1_1
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Zero
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.HasZeroMorphisms.zero", "propext", "CategoryTheory.Limits.IsZero", "Zero.toOfNat0", "CategoryTheory.Category.toCategoryStruct", "CategoryTheo...
Multiset.sup_eq_union
Mathlib.Data.Multiset.UnionInter
[ "Lattice.toSemilatticeSup", "Multiset.instLattice", "SemilatticeSup.toMax", "Multiset", "Max.max", "Multiset.instUnion", "Union.union", "Eq", "rfl", "DecidableEq" ]
Aesop.ForwardRuleStateStats._sizeOf_1
Aesop.Stats.Basic
[ "Aesop.RuleName", "Aesop.ForwardRuleStateStats", "Aesop.ForwardClusterStateStats._sizeOf_inst", "instOfNatNat", "Aesop.ForwardRuleStateStats.rec", "Array._sizeOf_inst", "Array", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Aesop.RuleName._sizeOf_inst", "instAddNat", "OfNat.ofNat", "...
MonoidHom.id._proof_1
Mathlib.Algebra.Group.Hom.Defs
[ "MulOne.toOne", "One.toOfNat1", "MulOne", "OfNat.ofNat", "Eq", "rfl" ]
Ideal.comap._proof_3
Mathlib.RingTheory.Ideal.Maps
[ "_private.Mathlib.RingTheory.Ideal.Maps.0.Ideal.comap._simp_2", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule.addSubmonoidClass", "AddSubmonoidClass.toAddMemClass", "RingHomClass.toAddMonoidHomClass", "Semiring.toModule", "congrArg", "AddMonoid.toAddZeroClass", "Membership.mem", ...
NormedCommRing.toNonUnitalNormedCommRing._proof_12
Mathlib.Analysis.Normed.Ring.Basic
[ "NormedCommRing.toNormedRing", "Norm.norm", "Real", "NormedRing.toRing", "Ring.toNeg", "AddMonoid.toAddSemigroup", "NormedCommRing", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "Semiring.toNonUni...
Homotopy.symm._proof_1
Mathlib.Algebra.Homology.Homotopy
[ "Eq.mpr", "NegZeroClass.toNeg", "HomologicalComplex.instCategory", "Pi.instNeg", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Homotopy.hom", "HomologicalComplex", "id", "Homotopy.zero", "SubtractionMonoid.toSubNegZeroMonoid", "ComplexShape", "SubNegZeroMonoid.toNegZ...
IsAddQuotientCoveringMap.homeomorph_comp_iff
Mathlib.Topology.Covering.Quotient
[ "Eq.mpr", "IsAddQuotientCoveringMap.homeomorph_comp", "congrArg", "HEq.refl", "Function.comp", "Eq.casesOn", "IsAddQuotientCoveringMap", "TopologicalSpace", "AddAction", "funext", "Homeomorph.instEquivLike", "AddGroup", "Iff", "AddGroup.toSubNegMonoid", "Homeomorph.symm", "True", "If...
Valued.integer.norm_unit
Mathlib.Topology.Algebra.Valued.LocallyCompact
[ "NormedCommRing.toNormedRing", "Norm.norm", "Units.val", "NormedCommRing.toSeminormedCommRing", "Real", "Subring.instSetLike", "Valued.integer", "congrArg", "CommSemiring.toSemiring", "NormedField.toValued", "Membership.mem", "NormedField.toField", "Subring.instSubringClass", "Units", "S...
_private.Lean.Meta.Tactic.Cleanup.0.Lean.Meta.cleanupCore.addUsedFVars._unsafe_rec
Lean.Meta.Tactic.Cleanup
[ "Pure.pure", "Lean.instantiateMVars", "Lean.CollectFVars.State", "Lean.instMonadMCtxOfMonadLift", "StateRefT'.instAlternativeOfMonad", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "Lean.Expr.instBEq", "Lean.Meta.State", "instMonadLiftT", "IO", "Lean.Expr"...