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2 classes
CategoryTheory.MonoidalCategory.tensor._proof_4
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.tensorHom_comp_tensorHom", "Prod.fst", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "True", "eq_self", "CategoryTheory.uniformProd", "CategoryTheory.Categ...
false
CategoryTheory.Codiscrete.recOn
Mathlib.CategoryTheory.CodiscreteCategory
[ "CategoryTheory.Codiscrete", "CategoryTheory.Codiscrete.mk", "CategoryTheory.Codiscrete.rec" ]
false
Lean.Meta.DefEqContext.localInstances
Lean.Meta.Basic
[ "Lean.LocalInstances", "Lean.Meta.DefEqContext" ]
true
AlgebraicGeometry.instLocallyOfFinitePresentationFstScheme
Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation
[ "CategoryTheory.Limits.pullback", "CategoryTheory.MorphismProperty.instIsStableUnderBaseChangeAlongOfIsStableUnderBaseChange", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "inferInstance", "CategoryTheory.MorphismProperty.pullback_fst", "AlgebraicGeometry.locally...
true
_private.Mathlib.Topology.Order.WithTop.0.TopologicalSpace.instSecondCountableTopologyWithTop._proof_2
Mathlib.Topology.Order.WithTop
[ "Set.Ioi", "Exists", "Set.instEmptyCollection", "Eq.refl", "EmptyCollection.emptyCollection", "Eq.mpr_prop", "Eq", "Preorder", "Set" ]
false
Lean.Meta.letTelescope
Lean.Meta.Basic
[ "Lean.Expr", "Lean.Meta.MetaM", "Array", "_private.Lean.Meta.Basic.0.Lean.Meta.lambdaTelescopeImp", "Bool.true", "Option.none", "MonadControlT", "Nat", "Bool", "optParam", "Monad", "Bool.false", "Lean.Meta.map2MetaM" ]
true
_private.Mathlib.Order.Partition.Basic.0.Partition.instSemilatticeInf.match_15
Mathlib.Order.Partition.Basic
[ "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "CompleteLattice.toConditionallyCompleteLattice", "LE.le", "And", "Partition", "Order.Frame.toCompleteLattice", "Exists.casesOn", "Exists.intro", "ConditionallyCompletePartialOrderSup.toPartialOrder", "ConditionallyCompl...
false
Lean.Meta.Grind.Arith.CommRing.NonCommSemiringM.Context.mk._flat_ctor
Lean.Meta.Tactic.Grind.Arith.CommRing.NonCommSemiringM
[ "Lean.Meta.Grind.Arith.CommRing.NonCommSemiringM.Context.mk", "Nat", "Lean.Meta.Grind.Arith.CommRing.NonCommSemiringM.Context" ]
false
Std.ExtDHashMap.contains_congr
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.contains", "Std.ExtDHashMap.inductionOn", "LawfulHashable", "Bool.true", "BEq.beq", "EquivBEq", "Std.ExtDHashMap", "Bool", "Hashable", "Std.DHashMap.contains_congr", "BEq", "Eq", "Std.DHashMap" ]
true
Ergodic
Mathlib.Dynamics.Ergodic.Ergodic
[ "MeasureTheory.Measure", "Ergodic._auto_1", "Ergodic.mk", "autoParam", "MeasurableSpace" ]
true
Filter.Tendsto.isCompact_insert_range_of_cocompact
Mathlib.Topology.Compactness.Compact
[ "Filter.instMembership", "Iff.mpr", "Disjoint.le_bot", "Continuous", "_private.Mathlib.Topology.Compactness.Compact.0.Filter.Tendsto.isCompact_insert_range_of_cocompact._simp_1_4", "Filter.le_principal_iff", "Iff.of_eq", "Classical.not_not", "congrArg", "Compl.compl", "Filter.NeBot", "False.el...
true
Fin.rxiHasSize_eq
Init.Data.Range.Polymorphic.Fin
[ "HSub.hSub", "instSubNat", "Fin.val", "instHSub", "Nat", "Std.Rxi.HasSize.size", "Fin.instHasSize_2", "Fin", "Eq", "rfl" ]
true
CategoryTheory.sum_whiskerRight
Mathlib.CategoryTheory.Monoidal.Preadditive
[ "CategoryTheory.MonoidalCategory.tensoringRight", "CategoryTheory.Functor", "AddMonoidHom.instAddMonoidHomClass", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommGroup.toAddCommMonoid", "Finset", "CategoryTheory.MonoidalCategory", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.get?_erase_self._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
IsOpen.isConnected_iff_isPathConnected
Mathlib.Topology.Connected.LocPathConnected
[ "IsPathConnected", "Eq.mpr", "IsConnected", "congrArg", "Membership.mem", "Set.Elem", "id", "LocPathConnectedSpace", "TopologicalSpace", "Iff", "IsOpen.locPathConnectedSpace", "propext", "isPathConnected_iff_pathConnectedSpace", "pathConnectedSpace_iff_connectedSpace", "IsOpen", "instT...
true
Std.Do.Spec.Iter.forIn_filterMap
Std.Do.Triple.SpecLemmas
[ "Pure.pure", "Eq.mpr", "Std.Iter.forIn_filterMapWithPostcondition.match_1", "Std.Do.Spec.IterM.forIn_filterMapWithPostcondition.match_1", "congrArg", "Monad.toApplicative", "Std.Do.PostCond", "MonadLiftT.monadLift", "Std.Iterators.Types.FilterMap.instIteratorLoop", "instMonadLiftT", "Std.Do.Asse...
true
Submodule.span
Mathlib.LinearAlgebra.Span.Defs
[ "Submodule", "setOf", "HasSubset.Subset", "AddCommMonoid", "SetLike.coe", "Submodule.setLike", "Semiring", "Module", "InfSet.sInf", "Submodule.instInfSet", "Set.instHasSubset", "Set" ]
true
_private.Init.Data.String.Lemmas.Pattern.String.Basic.0.String.Slice.Pattern.Model.ForwardSliceSearcher.isLongestRevMatchAt_iff_extract._simp_1_3
Init.Data.String.Lemmas.Pattern.String.Basic
[ "String.instLEPos_1", "String.Slice.Pos.offset", "String.Slice", "LE.le", "String.Pos.Raw", "String.Slice.Pos.le_iff", "String.instLERaw", "propext", "String.Slice.Pos", "Eq" ]
false
Std.Iterators.Types.StepSizeIterator.instIterator._proof_1
Std.Data.Iterators.Combinators.Monadic.StepSize
[ "Eq.mpr", "Std.IterM.IsPlausibleNthOutputStep", "Std.IterStep.mapIterator_id", "Std.IterStep", "congrArg", "Std.PlausibleIterStep", "cast", "Function.comp", "Eq.rec", "Std.IterStep.mapIterator_mapIterator", "Std.Iterators.Types.StepSizeIterator.nextIdx", "Std.IterStep.mapIterator", "id", "...
false
CategoryTheory.ShortComplex.LeftHomologyData.map
Mathlib.Algebra.Homology.ShortComplex.PreservesHomology
[ "CategoryTheory.ShortComplex.LeftHomologyData.hπ'", "CategoryTheory.ShortComplex.LeftHomologyData.map._proof_3", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.ShortComplex.LeftHomologyData.IsPreservedBy.hg", "CategoryTheory.ShortComplex.LeftHomologyData.f'", "Catego...
true
Lean.Data.Trie.node1.elim
Lean.Data.Trie
[ "PULift.up", "Lean.Data.Trie.node1", "Lean.Data.Trie.ctorIdx", "Lean.Data.Trie", "Lean.Data.Trie.ctorElim", "Nat", "Eq.symm", "UInt8", "Eq", "Option" ]
false
Algebra.Generators.cotangentRestrict._proof_1
Mathlib.RingTheory.Extension.Cotangent.Basic
[ "CommRing", "Algebra.Extension.commRing", "instSMulOfMul", "CommSemiring.toSemiring", "Algebra.Extension.CotangentSpace._proof_2", "Algebra", "Algebra.toSMul", "Algebra.id", "Algebra.Extension.Ring", "Algebra.Generators", "Algebra.Extension.CotangentSpace._proof_1", "instDistribOfSemiring", ...
false
Lean.Meta.DiscrTree.fold
Lean.Meta.DiscrTree.Util
[ "Pure.pure", "Monad.toApplicative", "Lean.Meta.DiscrTree.Key", "Id.run", "Id", "Applicative.toPure", "Array", "Lean.Meta.DiscrTree.foldM", "Lean.Meta.DiscrTree", "Id.instMonad" ]
true
CategoryTheory.MorphismProperty.HasQuotient.recOn
Mathlib.CategoryTheory.MorphismProperty.Quotient
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.HasQuotient.rec", "HomRel", "CategoryTheory.MorphismProperty.HasQuotient", "CategoryTheory.HomRel.IsStableUnderPostcomp", "Iff", "CategoryTheory.MorphismProperty.HasQuotient.mk...
false
CategoryTheory.Functor.OplaxMonoidal.ofBifunctor.secondMap₂_app_app_app
Mathlib.CategoryTheory.Monoidal.Multifunctor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.curriedTensorPre", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.curriedTensorPost", "CategoryTheory.MonoidalCategory.curriedTenso...
true
CategoryTheory.GradedObject.Monoidal.pentagon_inv_assoc
Mathlib.CategoryTheory.GradedObject.Monoidal
[ "CategoryTheory.Category.assoc", "CategoryTheory.GradedObject.Monoidal.tensorHom", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.GradedObject.HasGoodTensor₁₂Tensor", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.GradedObject.Monoidal.pentagon_inv", "Categor...
true
LinearMap.isCompl_iSup_ker_pow_iInf_range_pow
Mathlib.RingTheory.Artinian.Module
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "le_refl", "Nat.instLattice", "Lattice.toSemilatticeSup", "iInf", "Module.End.instMonoid", "LinearMap.eventually_iSup_ker_pow_eq", "congrArg", "iSup", "AddCommGroup.toAddCommMonoid", "Filter.Eventually", "Submodule.completeLattice", "Linear...
true
Ordinal.type_le_iff'
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.partialOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Ordinal.type", "IsWellOrder", "_private.Mathlib.SetTheory.Ordinal.Basic.0.Ordinal.type_le_iff'.match_1_3", "LE.le", "Nonempty.intro", "RelEmbedding", "Iff", "InitialSeg.toRelEmbedding", "RelEmbedding.collapse", "Iff.intro",...
true
_private.Mathlib.Algebra.Star.Pointwise.0.Set.star_mul._simp_1_1
Mathlib.Algebra.Star.Pointwise
[ "Set.image_star", "Set.star", "InvolutiveStar", "Set.image", "InvolutiveStar.toStar", "Eq.symm", "Eq", "Star.star", "Set" ]
false
BoundedContinuousFunction.extend._proof_2
Mathlib.Topology.ContinuousMap.Bounded.Basic
[ "Continuous", "DiscreteTopology", "PseudoMetricSpace.toUniformSpace", "BoundedContinuousFunction.instFunLike", "Function.Embedding", "TopologicalSpace", "PseudoMetricSpace", "Function.extend", "Function.instFunLikeEmbedding", "continuous_of_discreteTopology", "UniformSpace.toTopologicalSpace", ...
false
_private.Mathlib.Computability.PartrecBasis.0.Nat.Partrec'.rfindOpt._simp_1_3
Mathlib.Computability.PartrecBasis
[ "Part.mem_bind_iff", "Part", "Part.bind", "Membership.mem", "Exists", "Part.instMembership", "And", "propext", "Eq" ]
false
Std.DTreeMap.Raw.getKey?_inter
Std.Data.DTreeMap.Raw.Lemmas
[ "Ord.mk", "Ordering", "instDecidableEqBool", "Std.DTreeMap.Raw.getKey?", "Std.TransCmp", "Inter.inter", "Bool.true", "Std.DTreeMap.Raw.instInter", "Option.none", "Std.DTreeMap.Raw.WF.out", "Std.DTreeMap.Raw.inner", "Std.DTreeMap.Raw.contains", "Bool", "Std.DTreeMap.Internal.Impl.getKey?_in...
true
Nat.reduceBeqDiff._regBuiltin.Nat.reduceBeqDiff.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat.2636786403._hygCtx._hyg.24
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat
[ "IO", "Sum.inl", "Bool.true", "Unit", "Lean.Meta.Simp.addSEvalprocBuiltinAttr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Nat.reduceBeqDiff", "Lean.Meta.Simp.Simproc" ]
false
_private.Init.Data.String.Iterator.0.String.Legacy.Iterator.foldUntil.eq_def
Init.Data.String.Iterator
[ "String.Legacy.Iterator.foldUntil", "_private.Init.Data.String.Iterator.0.String.Legacy.Iterator.foldUntil._unary.eq_def", "String.Legacy.Iterator.curr", "id", "instDecidableEqBool", "Prod.mk", "String.Legacy.Iterator.atEnd", "String.Legacy.Iterator.next", "Bool.true", "PSigma.mk", "Bool", "St...
true
Lean.Parser.Term.leftact._regBuiltin.Lean.Parser.Term.leftact.formatter_9
Lean.Parser.Term
[ "Lean.PrettyPrinter.Formatter", "Lean.Name.mkStr5", "IO", "Lean.Parser.Term.leftact.formatter", "Unit", "Lean.PrettyPrinter.formatterAttribute", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
_private.Mathlib.Tactic.DefEqAbuse.0.Lean.MessageData.visitWithAndAscendM._auto_3
Mathlib.Tactic.DefEqAbuse
[ "Lean.Syntax.node", "Lean.Syntax.ident", "Array.push", "String.toRawSubstring", "Lean.Syntax", "Array.empty", "Lean.Name.anonymous", "Lean.Syntax.Preresolved", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom", "List.nil" ]
false
selfAdjoint.instIntCastSubtypeMemAddSubgroup
Mathlib.Algebra.Star.SelfAdjoint
[ "Int.cast", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "IsSelfAdjoint.intCast", "IntCast", "Membership.mem", "Subtype", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", "Int", "AddGroupWithOne.toIntCast", "NonAssocRing.toNonUnitalNonAssocRing", "Subtype.mk", "AddSubgroup", "S...
true
Lean.Elab.Tactic.Doc.elabRegisterTacticTag._regBuiltin.Lean.Elab.Tactic.Doc.elabRegisterTacticTag_1
Lean.Elab.Tactic.Doc
[ "Lean.Elab.Command.CommandElab", "Lean.Elab.Tactic.Doc.elabRegisterTacticTag", "Lean.Name.mkStr5", "IO", "Lean.Elab.Command.commandElabAttribute", "Unit", "Lean.Name.mkStr4", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
MeasureTheory.Measure.finiteSpanningSetsIn_volumeIoiPow_range_Iio
Mathlib.MeasureTheory.Constructions.HaarToSphere
[ "Real", "Set.Ioi", "Real.instZero", "AddGroupWithOne.toAddMonoidWithOne", "Membership.mem", "MeasureTheory.Measure.finiteSpanningSetsIn_volumeIoiPow_range_Iio._proof_2", "MeasureTheory.Measure.FiniteSpanningSetsIn.mk", "Set.Elem", "MeasureTheory.Measure.finiteSpanningSetsIn_volumeIoiPow_range_Iio._p...
true
StarMulEquiv.toMulEquiv_symm
Mathlib.Algebra.Star.MonoidHom
[ "StarMulEquiv", "StarMulEquiv.toMulEquiv", "Mul", "Star", "MulEquiv", "MulEquiv.symm", "Eq", "StarMulEquiv.symm", "rfl" ]
true
SummationFilter.HasSupport
Mathlib.Topology.Algebra.InfiniteSum.SummationFilter
[ "SummationFilter", "SummationFilter.HasSupport.mk" ]
true
PowerSeries.IsWeierstrassFactorization.degree_eq_coe_lift_order_map
Mathlib.RingTheory.PowerSeries.WeierstrassPreparation
[ "Iff.mpr", "CommRing", "WithBot", "MvPowerSeries.instZero", "instTopENat", "CommSemiring.toSemiring", "PowerSeries.order_finite_iff_ne_zero", "IsLocalRing.residue", "IsLocalRing.maximalIdeal", "RingHom", "inferInstance", "Ne", "IsLocalRing.ResidueField.field", "Polynomial.degree", "IsLoc...
true
instMetricSpaceEmpty
Mathlib.Topology.MetricSpace.Defs
[ "UniformSpace", "instSubsingletonEmpty", "Real", "instUniformSpaceEmpty", "instMetricSpaceEmpty._proof_7", "Real.instZero", "Dist.mk", "instMetricSpaceEmpty._proof_2", "inferInstance", "PseudoMetricSpace.mk", "Empty", "instMetricSpaceEmpty._proof_3", "MetricSpace", "instMetricSpaceEmpty._p...
true
Quaternion.expSeries_even_of_imaginary
Mathlib.Analysis.Normed.Algebra.QuaternionExponential
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Quaternion.coe", "Iff.mpr", "Norm.norm", "Int.cast", "Eq.mpr", "Quaternion.algebra", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Real", "DivInvMonoid.toInv", "instHSMul", "Trans.trans", "instHDiv", "Mathli...
true
CommRingCat.Under.instPreservesLimitsOfShapeUnderWalkingParallelPairTensorProdOfFlatCarrier
Mathlib.Algebra.Category.Ring.Under.Limits
[ "CategoryTheory.instCategoryUnder", "CategoryTheory.Functor", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRingCat.carrier", "CommRing.toNonUnitalCommRing", "CategoryTheory.Limits.WalkingParallelPair", "CommSemiring.toSemiring", "CommRingCat", "CategoryTheory.Functor.category", "CategoryT...
true
Lean.instInhabitedLiteral.default
Lean.Expr
[ "Inhabited.default", "instInhabitedNat", "Lean.Literal", "Lean.Literal.natVal", "Nat" ]
true
MonoidHom.toMulEquiv_symm_apply
Mathlib.Algebra.Group.Equiv.Defs
[ "MulEquiv.instEquivLike", "MonoidHom.instFunLike", "MonoidHom", "MulOne.toMul", "MonoidHom.comp", "MonoidHom.toMulEquiv", "MulOneClass.toMulOne", "MonoidHom.id", "MulEquiv", "Eq.refl", "MulOneClass", "MulEquiv.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
equicontinuousWithinAt_finite
Mathlib.Topology.UniformSpace.Equicontinuity
[ "Filter.instMembership", "UniformSpace", "ContinuousWithinAt", "EquicontinuousWithinAt", "congrArg", "nhds_basis_uniformity'", "nhdsWithin", "Finite", "Filter.Eventually", "uniformity", "Membership.mem", "forall_comm", "nhds", "id", "Prod.mk", "Set.mem_preimage._simp_1", "UniformSpac...
true
_private.Lean.Meta.Match.Match.0.Lean.Meta.Match.MatcherKey.mk.sizeOf_spec
Lean.Meta.Match.Match
[ "_private.Lean.Meta.Match.Match.0.Lean.Meta.Match.MatcherKey.mk", "Lean.Expr", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Bool", "instAddNat", "Eq.refl", "_private.Lean.Meta.Match.Match.0.Lean.Meta.Match.MatcherKey._sizeOf_inst", "_private.Lean.Meta.Match.Match.0.Lean.Me...
true
ContinuousMap.starMul._proof_1
Mathlib.Topology.ContinuousMap.Star
[ "HMul.hMul", "ContinuousStar", "ContinuousMap", "StarMul", "Mul", "TopologicalSpace", "ContinuousMul", "ContinuousMap.ext", "ContinuousMap.instMul", "ContinuousMap.instInvolutiveStarOfContinuousStar", "StarMul.toInvolutiveStar", "StarMul.star_mul", "InvolutiveStar.toStar", "Eq", "Continu...
false
SimpleGraph.Walk.getLast_support
Mathlib.Combinatorics.SimpleGraph.Walk.Basic
[ "List.getLast", "False", "congrArg", "SimpleGraph.Adj", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.support_ne_nil._simp_1", "SimpleGraph.Walk.head_support._proof_1", "List.cons", "SimpleGraph", "SimpleGraph.Walk.cons", "List.getLast_cons", "List", "List.cons_ne_nil",...
true
CategoryTheory.Limits.BinaryBicone.IsBilimit.isColimit
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Limits.IsColimit", "CategoryTheory.Limits.BinaryBicone.toCocone", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.BinaryBicone", "CategoryTheory.discreteCategory", "CategoryTheory.Limits.pair", "CategoryTheory.Limits.BinaryBicone.Is...
true
Filter.comk._proof_3
Mathlib.Order.Filter.Defs
[ "Iff.mpr", "Compl.compl", "setOf", "Membership.mem", "HasSubset.Subset", "Set.instCompl", "Set.compl_subset_compl", "Set.instMembership", "Set.instHasSubset", "Set" ]
false
TrivSqZeroExt.instL1NormedRing._proof_3
Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt
[ "Norm.norm", "SeminormedRing.toNorm", "Real.instLE", "Semigroup.toMul", "Real", "TrivSqZeroExt", "NormedRing.toRing", "HMul.hMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "MulOpposite", "SeminormedRing.toRing", "AddCommGroup.toAddGroup"...
false
String.isEmpty_sliceFrom._simp_1
Init.Data.String.Lemmas.IsEmpty
[ "String.sliceFrom", "String.isEmpty_sliceFrom", "String", "String.Slice.isEmpty", "Bool.true", "propext", "String.endPos", "String.Pos", "Bool", "Eq" ]
false
CommRingCat.tensorProd._proof_2
Mathlib.Algebra.Category.Ring.Under.Basic
[ "Eq.mpr", "CategoryTheory.instCategoryUnder", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRingCat.carrier", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CommSemiring.toSemiring", ...
false
MulOpposite.instGroup._proof_1
Mathlib.Algebra.Group.Opposite
[ "Semigroup.toMul", "DivInvMonoid.toInv", "HMul.hMul", "MulOpposite", "Group", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "Inv.inv", "Monoid.toSemigroup", "mul_inv_cancel", "One.toOfNat1", "MulOpposite.instDivInvMonoid", "MulOpposite.unop", "Monoid.toOne", "MulOpposite.unop_injectiv...
false
RootPairing.GeckConstruction.equivRootSystem._proof_1
Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basis
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
WithTop.preimage_coe_Ioi
Mathlib.Order.Interval.Set.WithBotTop
[ "Set.ext", "Set.Ioi", "Preorder.toLT", "WithTop.instPreorder", "WithTop.some", "WithTop.coe_lt_coe", "Set.preimage", "Eq", "Preorder", "WithTop", "Set" ]
true
TotallyBounded.image
Mathlib.Topology.UniformSpace.Cauchy
[ "UniformContinuous", "UniformSpace", "Eq.mpr", "TotallyBounded", "congrArg", "Filter.map", "Filter.TotallyBounded.map", "Eq.mp", "id", "Filter.TotallyBounded", "_private.Mathlib.Topology.UniformSpace.Cauchy.0.TotallyBounded.image._simp_1_1", "Filter.principal", "Set.image", "Eq", "_priva...
true
TestFunction.instAdd._proof_3
Mathlib.Analysis.Distribution.TestFunction
[ "Real", "NormedSpace", "TestFunction.toTestFunctionClass", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "TopologicalSpace.Opens", "AddCommGroup.toAddGroup", "Set.instUnion", "AddZeroClass.toAddZero", "HasSubset.Subset.trans", "tsupport", "Set.instIsTransSubset", "HasSubset...
false
dimH_iUnion
Mathlib.Topology.MetricSpace.HausdorffDimension
[ "Eq.mpr", "ENNReal.ofNNReal", "MeasureTheory.Measure", "Preorder.toLT", "MeasureTheory.measure_iUnion_null", "congrArg", "iSup", "CompletelyDistribLattice.toCompleteLattice", "MeasureTheory.Measure.hausdorffMeasure", "PartialOrder.toPreorder", "Preorder.toLE", "ENNReal.zero_ne_top", "dimH_le...
true
Subgroup.instMulActionQuotientDiff._proof_5
Mathlib.GroupTheory.SchurZassenhaus
[ "Semigroup.toMul", "MulAction.right_quotientAction'", "instHSMul", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Subgroup.FiniteIndex", "Subgroup.leftTransversals.diff", "MulOpposite", "Subgroup.mul", "Group", "Subgroup.instMulActionQuotientDiff._proof_4", "Group.toD...
false
_private.Mathlib.Data.Option.NAry.0.Option.map_map₂_antidistrib_left._proof_1_1
Mathlib.Data.Option.NAry
[ "False", "eq_false", "Option.map₂_some_some", "congrArg", "Classical.byContradiction", "Option.casesOn", "Option.some", "Eq.mp", "id", "Option.map₂_none_right", "Option.none", "Option.map", "Option.map_some", "congr", "True", "eq_true", "Eq.refl", "Option.map_none", "Option.map₂_...
false
CompactlySupportedContinuousMap.semilatticeSup._proof_2
Mathlib.Topology.ContinuousMap.CompactlySupported
[ "Preorder.toLT", "CompactlySupportedContinuousMap", "ContinuousMap.mk", "Iff.rfl", "PartialOrder.toPreorder", "Preorder.toLE", "CompactlySupportedContinuousMap.instSup._proof_1", "SemilatticeSup.toMax", "Function.Injective.semilatticeSup._proof_2", "LE.le", "TopologicalSpace", "Pi.instSemilatt...
false
Subgroup.two_mul_widthInfty_mem_strictPeriods
Mathlib.NumberTheory.ModularForms.Cusps
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Real", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "even_two._simp_1", "AddMonoid.toAddSemigroup", "Ring.toNonAssocRing", "Monoid.toMulOneClass", "AddGroupWithOne.toAddGroup", "congrArg", "Matrix", "Even.n...
true
_private.Init.Data.Slice.Lemmas.0.Std.Slice.foldlM_toArray._simp_1_2
Init.Data.Slice.Lemmas
[ "Std.Iter.foldM", "Std.IteratorLoop", "Std.Iterators.Finite", "LawfulMonad", "instOfNatNat", "Id", "Std.Iter.toArray", "Std.Iterator", "Array.foldlM", "Std.Iter", "Nat", "Std.LawfulIteratorLoop", "Id.instMonad", "OfNat.ofNat", "Eq.symm", "Monad", "Eq", "Array.size", "Std.Iter.fol...
false
subalgebraOfSubring._proof_1
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "AddGroup.toSubtractionMonoid", "Int.cast", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "SetLike.mem_coe._simp_1", "Subring.toSubsemiring", "Subring.instSetLike", "Algebra.algebraMap", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toS...
false
_private.Mathlib.Tactic.FieldSimp.0.Mathlib.Tactic.FieldSimp.qNF.mkMulProof._unary.eq_def
Mathlib.Tactic.FieldSimp
[ "Eq.mpr", "instSubsingletonDecidable", "_private.Mathlib.Tactic.FieldSimp.0.Mathlib.Tactic.FieldSimp.qNF.mkMulProof.match_1._arg_pusher", "congrArg", "invImage", "Lean.Expr.const", "Lean.Name.mkStr5", "instSizeOfDefault", "Decidable", "Mathlib.Tactic.FieldSimp.qNF.toNF", "Eq.rec", "Lean.Expr",...
false
Int.Linear.OrOver._f
Init.Data.Int.Linear
[ "False", "instOfNatNat", "Nat.below", "Unit", "Nat", "Or", "OfNat.ofNat", "Int.Linear.Poly.combine'.match_3", "Nat.succ" ]
false
CategoryTheory.MorphismProperty.instIsClosedUnderIsomorphismsStructuredArrowStructuredArrowObjOfRespectsIso
Mathlib.CategoryTheory.MorphismProperty.Comma
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.MorphismProperty.RespectsIso", "CategoryTheory.MorphismProperty.structuredArrowObj", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.instCategoryStructuredArrow", "_private.Mathlib.CategoryTheory.MorphismProperty.Co...
true
_private.Mathlib.RingTheory.Valuation.ValuationSubring.0.ValuationSubring.unitGroup_le_unitGroup._simp_1_1
Mathlib.RingTheory.Valuation.ValuationSubring
[ "Membership.mem", "Field.toSemifield", "ValuationSubring.zero_mem", "Semifield.toDivisionSemiring", "True", "eq_true", "DivisionSemiring.toSemiring", "Zero.toOfNat0", "ValuationSubring.instSetLike", "OfNat.ofNat", "Eq", "Field", "SetLike.instMembership", "MulZeroClass.toZero", "instMulZe...
false
Std.ExtHashMap.contains_insertMany_list
Std.Data.ExtHashMap.Lemmas
[ "Std.ExtHashMap.contains", "instForInOfForIn'", "List.map", "List.contains", "Std.ExtHashMap.inner", "inferInstance", "Id", "Membership", "LawfulHashable", "Prod.fst", "Std.ExtHashMap", "List", "EquivBEq", "List.instMembership", "Std.ExtDHashMap.Const.contains_insertMany_list", "Std.Ex...
true
CochainComplex.homologyδOfTriangle._proof_2
Mathlib.Algebra.Homology.DerivedCategory.HomologySequence
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "CategoryTheory.Pretriangulated.Triangle.obj₃", "AddGroupWithOne.toAddMonoidWithOne", "CategoryTheory.ShortComplex.HasHomology", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "AddCancelMonoid.toAdd...
false
CommRingCat.Colimits.descFunLift.match_1
Mathlib.Algebra.Category.Ring.Colimits
[ "Unit.unit", "CategoryTheory.Functor", "CommRingCat.carrier", "CommRingCat", "CommRingCat.instCategory", "CategoryTheory.SmallCategory", "CommRingCat.Colimits.Prequotient.add", "CommRingCat.Colimits.Prequotient.mul", "Unit", "CommRingCat.Colimits.Prequotient", "CommRingCat.Colimits.Prequotient.o...
false
_private.Lean.Elab.App.0.Lean.Elab.Term.ElabAppArgs.processImplicitArg._unsafe_rec
Lean.Elab.App
[ "Lean.Elab.Term.ElabAppArgs.M", "Lean.Elab.Term.ElabAppArgs.State", "instMonadReaderOfReaderTOfMonad", "Lean.Elab.Term.instMonadTermElabM", "MonadReader.read", "Lean.Elab.Term.ElabAppArgs.Context.explicit", "ReaderT.instMonad", "Lean.Expr", "IO.RealWorld", "instDecidableEqBool", "Bool.true", "...
false
CategoryTheory.Limits.isLimitOfHasKernelOfPreservesLimit
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.PreservesLimit", "CategoryTheory.Limits.Fork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.isLimitOfHasKernelOfPreservesLimit._...
true
Complex.UnitDisc.re_neg
Mathlib.Analysis.Complex.UnitDisc.Basic
[ "NegZeroClass.toNeg", "Real", "Complex.UnitDisc.re", "SemigroupWithZero.toMulZeroClass", "Complex.UnitDisc.instSemigroupWithZero", "MulZeroClass.negZeroClass", "Real.instNeg", "Complex.UnitDisc", "Eq", "Complex.UnitDisc.instHasDistribNeg", "Neg.neg", "rfl" ]
true
Differentiable.norm
Mathlib.Analysis.InnerProductSpace.Calculus
[ "Differentiable", "Norm.norm", "Real", "Semiring.toModule", "NormedSpace", "Real.denselyNormedField", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "Ne", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "Real.instAddCommGroup", ...
true
Std.Iterators.PostconditionT.ext
Init.Data.Iterators.PostconditionMonad
[ "Eq.mpr", "congrArg", "HEq.refl", "Monad.toApplicative", "Std.Iterators.PostconditionT.casesOn", "heq_eq_eq", "Eq.rec", "Std.Iterators.PostconditionT.Property", "Eq.mp", "LawfulApplicative.toLawfulFunctor", "Eq.casesOn", "id", "Subtype", "LawfulMonad", "Std.Iterators.PostconditionT.mk", ...
true
Array.forIn'.loop.eq_2
Init.Data.List.ToArray
[ "Pure.pure", "Array.forIn'.loop._proof_1", "Array.forIn'.loop", "Monad.toApplicative", "Array.forIn'.loop.match_1", "HSub.hSub", "Array.instMembership", "Membership.mem", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "Applicative.toPure", "ForInStep", "Array", "GetElem.getElem", ...
true
Std.Time.Internal.Bounded.LE.mul_pos._proof_1
Std.Time.Internal.Bounded
[ "HMul.hMul", "GE.ge", "Int", "LE.le", "Int.instMul", "And", "Std.Time.Internal.Bounded.LE", "And.right", "instOfNat", "And.left", "And.intro", "OfNat.ofNat", "Subtype.val", "Int.instLEInt", "Int.mul_le_mul_of_nonneg_right", "Subtype.property", "instHMul" ]
false
FiniteIndexNormalSubgroup.instMax
Mathlib.GroupTheory.FiniteIndexNormalSubgroup
[ "Lattice.toSemilatticeSup", "Max.mk", "FiniteIndexNormalSubgroup.toSubgroup", "Group", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeSup.toMax", "Max", "Subgroup", "FiniteIndexNormalSubgroup.instMax._proof_2", "Max.max", "FiniteIndexNormalSubgroup.mk", "Subgroup.instCompleteLat...
true
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Roi.isEmpty_iff_forall_not_mem._simp_1_5
Init.Data.Range.Polymorphic.Lemmas
[ "Exists", "not_exists", "propext", "Eq", "Not" ]
false
Quaternion.ofComplex._proof_3
Mathlib.Analysis.Quaternion
[ "NormedCommRing.toSeminormedCommRing", "Real", "Quaternion.coeComplex", "RCLike.toNormedAlgebra", "Algebra.algebraMap", "Real.instZero", "CommSemiring.toSemiring", "Complex.instNormedField", "RingHom", "Complex.instRCLike", "Real.instOne", "RingHom.instFunLike", "Real.instNeg", "Seminormed...
false
Nat.Partrec.Code.brecOn.eq
Mathlib.Computability.PartrecCode
[ "Nat.Partrec.Code.rfind'", "Nat.Partrec.Code.right", "Nat.Partrec.Code", "Nat.Partrec.Code.below", "Nat.Partrec.Code.prec", "Nat.Partrec.Code.succ", "Nat.Partrec.Code.left", "Nat.Partrec.Code.comp", "Nat.Partrec.Code.brecOn", "Nat.Partrec.Code.zero", "Nat.Partrec.Code.brecOn.go", "Eq.refl", ...
true
_private.Mathlib.Analysis.Convex.Strong.0.aux_add
Mathlib.Analysis.Convex.Strong
[ "_private.Mathlib.Analysis.Convex.Strong.0.aux_sub", "Norm.norm", "InnerProductSpace.toNormedSpace", "Real.instLE", "Real", "instHSMul", "neg_div", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "Real.instZero", "Monoid.toMulO...
true
EuclideanGeometry.concyclic_empty
Mathlib.Geometry.Euclidean.Sphere.Basic
[ "coplanar_empty", "Real", "NormedSpace", "NormedSpace.toModule", "AddCommGroup.toAddGroup", "AddTorsor.nonempty", "NormedAddTorsor.toAddTorsor", "MetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "EuclideanGeometry.Concyclic", "Real.instDivisionRing", "Set.instEmptyCollection", "NormedA...
true
ContinuousAlgHom.coe_comp'._simp_1
Mathlib.Topology.Algebra.Algebra
[ "ContinuousAlgHom.comp", "ContinuousAlgHom.instFunLike", "Algebra", "Function.comp", "CommSemiring", "TopologicalSpace", "Semiring", "ContinuousAlgHom.coe_comp'", "ContinuousAlgHom", "Eq.symm", "Eq", "DFunLike.coe" ]
false
Mathlib.Tactic.InteractiveUnfold.renderUnfolds
Mathlib.Tactic.Widget.InteractiveUnfold
[ "Pure.pure", "Lean.Meta.ppExpr", "Std.Format.pretty", "Lean.Json.bool", "Lean.TSyntax", "Lean.Json", "Lean.Json.mkObj", "ProofWidgets.Html", "ReaderT", "String", "Lean.Meta.State", "instMonadLiftT", "Mathlib.Tactic.InteractiveUnfold.filteredUnfolds", "ProofWidgets.Html.element", "Option....
true
Nat.stirlingFirst_succ_self_left
Mathlib.Combinatorics.Enumerative.Stirling
[ "Eq.mpr", "MulOne.toOne", "Nat.recAux", "Nat.choose", "HMul.hMul", "congrArg", "AddMonoid.toAddZeroClass", "Nat.choose_succ_succ", "Nat.instMulOneClass", "Nat.instAddMonoid", "id", "MulOne.toMul", "instMulNat", "instOfNatNat", "Nat.stirlingFirst", "zero_add", "Nat.choose_one_right", ...
true
Submodule.codisjoint_span_image_of_codisjoint
Mathlib.LinearAlgebra.LinearIndependent.Lemmas
[ "Eq.mpr", "Submodule", "Codisjoint", "RingHomSurjective.ids", "Semiring.toModule", "Finsupp.module", "ChainCompletePartialOrder.instOfCompleteLattice", "congrArg", "Finsupp.span_image_eq_map_linearCombination", "Submodule.codisjoint_map", "Finsupp.supported", "LinearMap.instFunLike", "Linear...
true
PartOrd.instConcreteCategoryOrderHomCarrier._proof_3
Mathlib.Order.Category.PartOrd
[ "PartOrd.Hom.hom'", "PartOrd.instCategory", "PartOrd.str", "PartialOrder.toPreorder", "CategoryTheory.CategoryStruct.id", "id", "OrderHom.instFunLike", "PartOrd", "PartOrd.carrier", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq", "DFunLike.coe", "OrderHom" ]
false
DoResultPRBC.return.elim
Init.Core
[ "PULift.up", "DoResultPRBC.ctorIdx", "DoResultPRBC", "DoResultPRBC.return", "Nat", "DoResultPRBC.ctorElim", "Eq.symm", "Eq" ]
false
CategoryTheory.Comonad.Coalgebra.counit._autoParam
Mathlib.CategoryTheory.Monad.Algebra
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Set.Ioo_union_right
Mathlib.Order.Interval.Set.Basic
[ "Iff.mpr", "Set.singleton_subset_iff", "Eq.mpr", "Set.Ioc", "Preorder.toLT", "congrArg", "PartialOrder.toPreorder", "Set.union_eq_self_of_subset_right", "Membership.mem", "Set.instUnion", "PartialOrder", "Set.instSingletonSet", "id", "Set.diff_union_self", "HasSubset.Subset", "SDiff.sd...
true
CategoryTheory.Functor.mapTriangle._proof_2
Mathlib.CategoryTheory.Triangulated.Functor
[ "CategoryTheory.Pretriangulated.TriangleMorphism.hom₂", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Pretriangulated.Triangle.obj₃", "CategoryTheory.Functor.category", "CategoryTheory.Fun...
false
PowerSeries.aeval
Mathlib.RingTheory.PowerSeries.Evaluation
[ "UniformSpace", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CompleteSpace", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "ContinuousSMul", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "IsTopologicalSemiring", "AlgHom", "MvPowerSeries.aeval", "Algebra", ...
true
_private.Lean.Compiler.LCNF.Types.0.Lean.Compiler.LCNF.isPropFormerTypeQuick._sparseCasesOn_2
Lean.Compiler.LCNF.Types
[ "Lean.Level.ctorIdx", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Level.mvar", "Lean.Level.param", "Nat.hasNotBit", "Lean.Level.imax", "instOfNatNat", "Lean.Level", "Nat.land", "Lean.Level.zero", "Nat", "Bool", "Lean.Level.rec", "Lean.Name", "Eq.refl", "Lean.Level.succ", "OfN...
false
Lean.Meta.Simp.NormCastConfig.zetaDelta._inherited_default
Init.MetaTypes
[ "id", "Bool", "Bool.false" ]
false