name
stringlengths
2
347
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stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Rep.standardComplex.ε
Mathlib.RepresentationTheory.Homological.Resolution
[ "Monoid", "CommRing", "Semiring.toModule", "Finsupp.module", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Representation.trivial", "AddGroupWithOne.toAddMonoidWithOne", "Rep.instCategory", "instOfNatNat", "Rep.standardCom...
true
uniqueDiffOn_extChartAt_target
Mathlib.Geometry.Manifold.IsManifold.ExtChartAt
[ "Eq.mpr", "extChartAt", "NormedSpace", "chartAt", "UniqueDiffOn", "congrArg", "PartialEquiv.target", "ModelWithCorners.uniqueDiffOn_preimage", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "id", "ModelWithCorners.toFun'", "Set.instInter", "Field.toSem...
true
SimpleGraph.decidableMemEdgeSet
Mathlib.Combinatorics.SimpleGraph.Basic
[ "SimpleGraph.Adj", "DecidableRel", "Membership.mem", "SimpleGraph.symm", "SimpleGraph.edgeSet", "SimpleGraph", "DecidablePred", "Sym2.fromRel.decidablePred", "Set.instMembership", "Sym2", "Set" ]
true
Associated.refl
Mathlib.Algebra.GroupWithZero.Associated
[ "Monoid", "Units.val", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "Units", "MulOne.toMul", "Units.instOne", "MulOneClass.toMulOne", "Associated", "True", "eq_self", "Exists.intro", "of_eq_true", "One.toOfNat1", "congrFun'", "mul_one", "OfNat.ofNat", "Eq", "Eq.trans", "i...
true
SimpleGraph.homOfConnectedComponents._proof_1
Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
[ "Eq.mpr", "SimpleGraph.ConnectedComponent.mem_supp_congr_adj", "SimpleGraph.connectedComponentMk", "outParam", "RelHom.instFunLike", "congrArg", "HEq.refl", "SimpleGraph.Adj", "RelHom", "Membership.mem", "SimpleGraph.ConnectedComponent.instSetLike", "Eq.casesOn", "id", "Subtype", "HEq.rf...
false
_private.Mathlib.MeasureTheory.Covering.Besicovitch.0.Besicovitch.exists_closedBall_covering_tsum_measure_le._simp_1_7
Mathlib.MeasureTheory.Covering.Besicovitch
[ "Real.instLE", "Real", "Membership.mem", "LE.le", "PseudoMetricSpace", "propext", "Metric.mem_closedBall", "Dist.dist", "PseudoMetricSpace.toDist", "Metric.closedBall", "Eq", "Set.instMembership", "Set" ]
false
ULower.down.eq_1
Mathlib.Logic.Encodable.Basic
[ "Equiv.instEquivLike", "Equiv", "ULower.equiv", "Eq.refl", "ULower", "Eq", "ULower.down", "DFunLike.coe", "Encodable", "EquivLike.toFunLike" ]
true
AddSubgroup.sub_mem_comm_iff
Mathlib.Algebra.Group.Subgroup.Basic
[ "HSub.hSub", "Membership.mem", "AddSubgroup", "SubNegMonoid.toSub", "AddGroup", "Iff", "instHSub", "AddGroup.toSubNegMonoid", "AddSubgroup.instSetLike", "AddSubgroup.instAddSubgroupClass", "SetLike.instMembership", "sub_mem_comm_iff" ]
true
ChainComplex.alternatingConstHomologyDataOdd._proof_2
Mathlib.Algebra.Homology.AlternatingConst
[ "CategoryTheory.Limits.HasZeroMorphisms", "ChainComplex", "HomologicalComplex.instCategory", "ChainComplex.alternatingConst", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Odd", "AddRightCancelSemigroup.toAddSemigroup", "CategoryTheory.ShortComplex.X₁", "A...
false
AlgebraicGeometry.Proj.basicOpen._proof_1
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic
[ "SetLike", "CommRing", "AddGroupWithOne.toAddGroup", "AddMonoid.toAddZeroClass", "AddSubmonoidClass", "AddSubgroupClass.toAddSubmonoidClass", "AddGroup.toSubNegMonoid", "SubNegMonoid.toAddMonoid", "CommRing.toRing", "AddSubgroupClass", "Ring.toAddGroupWithOne" ]
false
Mathlib.Tactic.BicategoryLike.MonadWhiskerRight.noConfusionType
Mathlib.Tactic.CategoryTheory.Coherence.Normalize
[ "Mathlib.Tactic.BicategoryLike.MonadWhiskerRight", "Mathlib.Tactic.BicategoryLike.WhiskerRight", "Mathlib.Tactic.BicategoryLike.Atom₁", "Mathlib.Tactic.BicategoryLike.MonadWhiskerRight.casesOn", "HEq" ]
false
ProbabilityTheory.Kernel.IsZeroOrMarkovKernel.prod
Mathlib.Probability.Kernel.Composition.Prod
[ "ProbabilityTheory.Kernel.instIsMarkovKernelProdCopy", "ProbabilityTheory.Kernel.comp", "ProbabilityTheory.Kernel.IsMarkovKernel.prod", "inferInstance", "id", "ProbabilityTheory.IsZeroOrMarkovKernel", "Or.casesOn", "ProbabilityTheory.eq_zero_or_isMarkovKernel", "MeasurableSpace", "ProbabilityTheor...
true
_private.Lean.Meta.Sym.LitValues.0.Lean.Meta.Sym.getStringValue?.match_1
Lean.Meta.Sym.LitValues
[ "Lean.Literal.strVal", "String", "Lean.Expr", "Nat.hasNotBit", "_private.Lean.Meta.Sym.LitValues.0.Lean.Meta.Sym.getNatValue?._sparseCasesOn_1", "Lean.Literal", "Lean.Literal.ctorIdx", "_private.Lean.Meta.Sym.LitValues.0.Lean.Meta.Sym.getStringValue?._sparseCasesOn_1", "Lean.Expr.ctorIdx", "Lean.E...
false
Finset.subtype._proof_1
Mathlib.Data.Finset.Image
[ "Finset", "Membership.mem", "Subtype", "And", "And.right", "Finset.instSetLike", "DecidablePred", "Iff.mp", "Finset.mem_filter", "Subtype.val", "Finset.filter", "SetLike.instMembership", "Subtype.property" ]
false
CliffordAlgebra.even.lift._proof_1
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "Subalgebra.instSetLike", "CliffordAlgebra.even.lift.aux_mul", "CommRing", "CliffordAlgebra.EvenHom", "Ring.toNonAssocRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "CliffordAlgebra.EvenHom.compr₂", "AlgHom", "instAlgebraCliffordAlgebra", "AlgHom.ofLinearM...
false
ProbabilityTheory.cgf_zero
Mathlib.Probability.Moments.Basic
[ "Real", "MeasureTheory.Measure", "ProbabilityTheory.cgf", "Real.instZero", "congrArg", "MeasureTheory.IsZeroOrProbabilityMeasure", "Set.univ", "MeasureTheory.Measure.real", "Real.log_one", "MeasureTheory.Measure.instZero", "Real.log", "Or.casesOn", "Real.instOne", "MeasurableSpace", "Pro...
true
CategoryTheory.Subobject.instCompleteLattice
Mathlib.CategoryTheory.Subobject.Lattice
[ "SemilatticeSup.mk", "CategoryTheory.Subobject.completeSemilatticeSup", "CompleteSemilatticeSup", "CategoryTheory.Subobject.instCompleteLattice._proof_2", "CategoryTheory.Subobject.instCompleteLattice._proof_5", "CategoryTheory.Limits.HasImages", "CategoryTheory.LocallySmall", "CategoryTheory.Subobjec...
true
Lean.Lsp.SignatureInformation.ctorIdx
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.SignatureInformation", "Nat" ]
false
PresheafOfModules.Monoidal.tensorObj._proof_12
Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal
[ "RingHom.comp._proof_4", "CategoryTheory.Functor", "Opposite", "CommRingCat.carrier", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "CommRingCat", "AddMonoid.toAddZeroClass", "CommRingCat.instConcreteCategoryRingHomCarrier", "RingCat.ring...
false
CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_id_app
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
[ "CategoryTheory.Oplax.StrongTrans.naturality", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Cat.leftUnitor_hom_app", "congrArg", "CategoryTheory.Oplax.StrongTrans", "CategoryTheory.eqToHom", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.Functor.comp", "Categor...
true
AddSubgroup.surjective_normedMk
Mathlib.Analysis.Normed.Group.Quotient
[ "NormedAddGroupHom", "SeminormedAddCommGroup", "QuotientAddGroup.instSeminormedAddCommGroup", "AddSubgroup.normedMk", "AddCommGroup.toAddGroup", "NormedAddGroupHom.funLike", "AddSubgroup", "HasQuotient.Quotient", "SeminormedAddCommGroup.toAddCommGroup", "QuotientAddGroup.instHasQuotientAddSubgroup...
true
ENNReal.coe_comp_toNNReal_comp
Mathlib.Data.ENNReal.Basic
[ "ENNReal.coe_toNNReal", "ENNReal.ofNNReal", "congrArg", "Function.comp", "NNReal", "Ne", "ENNReal.toNNReal", "funext", "True", "eq_self", "ENNReal", "of_eq_true", "ENNReal.instTop", "congrFun'", "Top.top", "Eq", "Eq.trans" ]
true
Dynamics.IsDynNetIn.of_le
Mathlib.Dynamics.TopologicalEntropy.NetEntropy
[ "Set.PairwiseDisjoint.mono", "ChainCompletePartialOrder.instOfCompleteLattice", "SetRel", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Set.PairwiseDisjoint", "UniformSpace.ball_mono", "Dynamics.dynEntourage", "HasSubset.Subset", "LE.le", "instLENat", "ChainCompletePartialOrder.toPartialOr...
true
lp.evalₗ._proof_1
Mathlib.Analysis.Normed.Lp.lpSpace
[ "AddCommGroup.toAddCommMonoid", "instAddCommGroupPreLp", "AddCommGroup.toAddGroup", "Membership.mem", "Subtype", "AddSubgroup", "instHAdd", "lp", "HAdd.hAdd", "AddSubgroup.instSetLike", "ENNReal", "PreLp", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommSemigroup", "Subtype.va...
false
Array.size_flatten
Init.Data.Array.Lemmas
[ "List.sum_toArray", "Array.array₂_induction", "Array.flatten", "congrArg", "List.map", "Array.sum", "List.map_toArray", "List.sum", "Zero.ofOfNat0", "Function.comp", "Array.map", "List.map_map", "instOfNatNat", "List.toArray", "Array.flatten_toArray_map_toArray", "Array", "funext", ...
true
Array.any_eq_true
Init.Data.Array.Lemmas
[ "Iff.mpr", "_private.Init.Data.Array.Lemmas.0.Array.any_eq_true._simp_1_1", "Iff.of_eq", "congrArg", "Exists", "exists_and_left._simp_1", "Array.any", "instOfNatNat", "LE.le", "instLENat", "Array", "GetElem.getElem", "iff_self", "Bool.true", "funext", "and_exists_self._simp_1", "And"...
true
CategoryTheory.Arrow.hasLimitsOfShape
Mathlib.CategoryTheory.Limits.Comma
[ "CategoryTheory.Functor", "CategoryTheory.Arrow.hasLimit", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.HasLimit", "inferInstance", "CategoryTheory.Limits.HasLimitsOfShape.mk", "CategoryTheory.Arrow.leftFunc", "CategoryTheory.instCategoryArrow", "...
true
FiniteGaloisIntermediateField.instMax._proof_2
Mathlib.FieldTheory.Galois.GaloisClosure
[ "Lattice.toSemilatticeSup", "instSMulOfMul", "FiniteGaloisIntermediateField.instMax._proof_1", "IntermediateField", "IntermediateField.toField", "Algebra", "Membership.mem", "Field.toDivisionRing", "CompleteLattice.toConditionallyCompleteLattice", "DivisionRing.toDivisionSemiring", "SemilatticeS...
false
_private.Mathlib.Probability.Kernel.Disintegration.Density.0.ProbabilityTheory.Kernel.tendsto_densityProcess_fst_atTop_univ_of_monotone._simp_1_4
Mathlib.Probability.Kernel.Disintegration.Density
[ "Set.instSProd", "SProd.sprod", "Membership.mem", "Prod.fst", "Set.mem_prod", "And", "propext", "Prod", "Eq", "Set.instMembership", "Prod.snd", "Set" ]
false
CategoryTheory.Comma.mapRightId_inv_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
SpecialLinearGroup.instCoeFunForall
Mathlib.LinearAlgebra.SpecialLinearGroup
[ "LinearEquiv.det", "CommRing", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "SpecialLinearGroup", "Units", "AddCommGroup", "CoeFun.mk", "DivInvMonoid.toMonoid", "Units.instOne", "Group.toDivInvMonoid", "MulOneCla...
true
LinearOrderedAddCommMonoidWithTop.top_add'
Mathlib.Algebra.Order.AddGroupWithTop
[ "AddMonoid.toAddSemigroup", "PartialOrder.toPreorder", "LinearOrderedAddCommMonoidWithTop.toOrderTop", "Preorder.toLE", "instHAdd", "AddSemigroup.toAdd", "OrderTop.toTop", "HAdd.hAdd", "LinearOrderedAddCommMonoidWithTop", "AddCommMonoid.toAddMonoid", "Top.top", "LinearOrder.toPartialOrder", ...
true
_private.Mathlib.Algebra.IsPrimePow.0.isPrimePow_nat_iff_bounded_log_minFac._proof_1_2
Mathlib.Algebra.IsPrimePow
[ "False", "Nat.Prime", "eq_false", "Lean.Grind.iff_eq", "Classical.byContradiction", "Eq.mp", "id", "Nat.minFac", "Ne", "instOfNatNat", "Iff", "Nat", "True", "Nat.minFac_prime_iff", "Lean.Grind.eq_true_of_not_eq_false", "OfNat.ofNat", "Eq.symm", "Eq", "Not", "Eq.trans", "True....
false
Nat.getElem!_toArray_rio
Init.Data.Range.Polymorphic.NatLemmas
[ "Std.Rco.toArray", "congrArg", "HSub.hSub", "Std.Rio.mk", "instInhabitedNat", "Nat.toArray_rio_eq_toArray_rco", "Std.PRange.instIsAlwaysFiniteNat_1", "instSubNat", "instOfNatNat", "Array", "instHAdd", "instHSub", "HAdd.hAdd", "Std.PRange.instUpwardEnumerableNat", "Nat", "LT.lt", "Tru...
true
PartialEquiv.isImage_source_target
Mathlib.Logic.Equiv.PartialEquiv
[ "congrArg", "PartialEquiv.target", "PartialEquiv", "Membership.mem", "PartialEquiv.map_source._simp_1", "iff_self", "Iff", "congr", "True", "eq_true", "of_eq_true", "PartialEquiv.source", "PartialEquiv.IsImage", "PartialEquiv.toFun", "Set.instMembership", "Eq.trans", "Set" ]
true
String.length_data
Init.Data.String.Basic
[ "String", "Nat", "String.toList", "String.length", "Char", "Eq", "List.length", "rfl" ]
true
_private.Mathlib.Tactic.ErwQuestion.0.Mathlib.Tactic.Erw?._aux_Mathlib_Tactic_ErwQuestion___elabRules_Mathlib_Tactic_Erw?_erw?_1.match_1
Mathlib.Tactic.ErwQuestion
[ "Lean.MessageData", "Prod.mk", "Array", "Unit", "Bool", "Prod", "Prod.casesOn" ]
false
_private.Mathlib.Algebra.BigOperators.Group.Finset.Sigma.0.Finset.prod_comm'._simp_1_3
Mathlib.Algebra.BigOperators.Group.Finset.Sigma
[ "Exists", "exists_eq_right", "And", "propext", "Eq" ]
false
Std.DTreeMap.Raw.getKeyD_filter
Std.Data.DTreeMap.Raw.Lemmas
[ "Option.pfilter", "Option.getD", "Std.DTreeMap.Raw.getKeyD", "Ord.mk", "Option.some", "Ordering", "Std.DTreeMap.Internal.Impl.getKeyD_filter!", "Std.DTreeMap.Raw.getKey?", "Std.TransCmp", "Std.DTreeMap.Raw.mem_of_getKey?_eq_some", "Std.DTreeMap.Raw.WF.out", "Std.LawfulEqCmp", "Std.DTreeMap.R...
true
_private.Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence.0.CategoryTheory.Abelian.SpectralObject.coreE₂CohomologicalNat._proof_17
Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence
[ "WithBotTop.coe", "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "WithBot", "HMul.hMul", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Int.Linear.eq_norm", "Classical.byContradiction", "HSub.hSub", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.R...
false
Int.natAbs_le_lcm_right
Init.Data.Int.Gcd
[ "Iff.mpr", "Int.lcm", "Int.natAbs_pos", "Nat.le_lcm_right", "Ne", "instOfNatNat", "Int", "LE.le", "instLENat", "instOfNat", "Nat", "LT.lt", "Int.natAbs", "instLTNat", "OfNat.ofNat" ]
true
Uniformity.«_aux_Mathlib_Topology_UniformSpace_Defs___macroRules_Uniformity_termUniformContinuous[_,_]_1»
Mathlib.Topology.UniformSpace.Defs
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax",...
false
_private.Init.Grind.Ring.CommSolver.0.Ordering.then.match_1.splitter._sparseCasesOn_2
Init.Grind.Ring.CommSolver
[ "Ordering.gt", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Ordering", "Ordering.eq", "Ordering.rec", "Nat.hasNotBit", "instOfNatNat", "Nat.land", "Ordering.lt", "Nat", "Ordering.ctorIdx", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false" ]
false
Lean.Parser.Term.defaultOrOfNonempty._regBuiltin.Lean.Parser.Term.defaultOrOfNonempty_1
Lean.Parser.Term
[ "IO", "Unit", "Lean.Parser.addBuiltinLeadingParser", "Lean.Parser.Term.defaultOrOfNonempty", "Lean.Name.mkStr1", "Lean.Name.mkStr4" ]
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.minKey?_eq_some_minKey._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
Turing.PartrecToTM2.tr_respects
Mathlib.Computability.TuringMachine.ToPartrec
[ "Turing.PartrecToTM2.halt", "Turing.PartrecToTM2.tr", "Turing.PartrecToTM2.instDecidableEqK'", "Turing.PartrecToTM2.Γ'", "Turing.PartrecToTM2.TrCfg", "Turing.ToPartrec.step", "Exists", "StateTransition.Respects.match_1", "Turing.PartrecToTM2.Λ'", "Turing.ToPartrec.Cont", "Turing.TM2.step", "_p...
true
AddMonoid.Coprod.range_inl_sup_range_inr
Mathlib.GroupTheory.Coprod.Basic
[ "Eq.mpr", "AddSubgroup.instCompleteLattice", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "AddMonoid.Coprod.instAddGroup", "congrArg", "AddMonoid.toAddZeroClass", "AddMonoid.Coprod.inr", "AddMonoidHom.range", "Set.instUnion", "AddZeroClass.toAddZero", "SemilatticeSup.toMax", "id"...
true
EReal.mul_inv
Mathlib.Data.EReal.Inv
[ "CommMonoidWithZero.toCommMonoid", "Iff.mpr", "Eq.mpr", "Real", "Preorder.toLT", "HMul.hMul", "EReal.instMulZeroOneClass", "DivisionCommMonoid.toDivisionMonoid", "CommMonoid.toCommSemigroup", "DivInvOneMonoid.toInvOneClass", "MulZeroClass.toMul", "Real.instZero", "Monoid.toMulOneClass", "c...
true
CategoryTheory.SubobjectRepresentableBy._root.CategoryTheory.Classifier.SubobjectRepresentableBy.homEquiv_eq
Mathlib.CategoryTheory.Subobject.Classifier.Defs
[ "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SubobjectRepresentableBy.homEquiv_eq", "PartialOrder.toPreorder", "CategoryTheory.SubobjectRepresentableBy", "Subobject.presheaf", "Equiv", "Preorder.smallCategory", "CategoryTheory.instPar...
false
CategoryTheory.Pretriangulated.binaryProductTriangle_obj₁
Mathlib.CategoryTheory.Triangulated.Basic
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Pretriangulated.binaryProductTriangle", "Int", "Int.instAddMonoid", "CategoryTheory.Limits.HasBinaryProduct", "Eq.refl", "CategoryTheory.HasShift", "Eq", "CategoryTheory.Category" ]
true
AlgebraicGeometry.Scheme.ι_toIso_inv
Mathlib.AlgebraicGeometry.Restrict
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Lattice.toSemilatticeSup", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CompleteLattice.toLattice", "TopologicalSpace.Opens.instCompleteLattice", ...
true
IccLeftChart._proof_6
Mathlib.Geometry.Manifold.Instances.Real
[ "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "Real.partialOrder", "Real.instLE", "Real", "Mathlib.Meta.NormNum.instAddMonoidWithOne", "Preorder.toLT", "Lattice.t...
false
GroupTopology.instInfSet._proof_1
Mathlib.Topology.Algebra.Group.GroupTopology
[ "Iff.mpr", "Group", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "TopologicalSpace.instCompleteLattice", "GroupTopology.toTopologicalSpace", "topologicalGroup_sInf", "TopologicalSpace", "GroupTopology.toIsTopologicalGroup", "IsTopologicalGroup", "Set.image", "Conditional...
false
NNReal.agm.eq_1
Mathlib.Analysis.SpecialFunctions.ArithmeticGeometricMean
[ "NNReal.agmSequences", "iInf", "NNReal.agm", "NNReal", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "NNReal.instConditionallyCompleteLinearOrderBot", "Nat", "ConditionallyCompleteLinearOrderBot.toConditionallyCompleteLinearOrder", "Eq.refl", "ConditionallyCompleteLattice.toCo...
true
Lean.Meta.Match.logIncorrectNumberOfPatternsAt
Lean.Meta.Match.Match
[ "Lean.ToMessageData", "String", "Lean.Meta.State", "Lean.Core.instMonadOptionsCoreM", "Lean.Syntax", "Lean.instMonadOptionsOfMonadLift", "Lean.Meta.MetaM", "IO.RealWorld", "_private.Lean.Meta.Match.Match.0.Lean.Meta.Match.mkIncorrectNumberOfPatternsMsg", "ReaderT.instMonadLift", "Lean.logErrorAt...
true
_private.Mathlib.FieldTheory.KummerExtension.0.isCyclic_tfae.match_1_3
Mathlib.FieldTheory.KummerExtension
[ "Lattice.toSemilatticeSup", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "CompleteLattice.toLattice", "CommSemiring.toSemiring", "IntermediateField", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "RingHom", "Membership.mem", ...
false
CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functor_obj
Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Monoidal.functorCategoryMonoidal", "CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functor", "CategoryTheory.Comon.instCategory", "CategoryTheory.Monoidal.ComonFunctorCategoryEquivale...
true
CategoryTheory.Abelian.SpectralObject.dHomologyData._proof_18
Mathlib.Algebra.Homology.SpectralObject.Homology
[ "CategoryTheory.ComposableArrows.fourδ₄Toδ₃", "CategoryTheory.Abelian.SpectralObject.E", "CategoryTheory.Abelian.SpectralObject.map_fourδ₁Toδ₀_EMap_fourδ₄Toδ₃._proof_8", "CategoryTheory.Abelian.SpectralObject.instEpiMapFourδ₄Toδ₃", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver....
false
OrderedFinpartition.extendMiddle
Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno
[ "Function.update", "Fin.succ", "Set.univ", "OrderedFinpartition.extendMiddle._proof_3", "instDecidableEqFin", "OrderedFinpartition.emb", "Function.comp", "Membership.mem", "OrderedFinpartition", "Fin.instOfNat", "Ne", "instOfNatNat", "OrderedFinpartition.extendMiddle._proof_2", "OrderedFin...
true
GrpCat.groupObj._proof_10
Mathlib.Algebra.Category.Grp.Limits
[ "Monoid.npow_zero._autoParam", "GrpCat.instConcreteCategoryMonoidHomCarrier", "CategoryTheory.Functor", "GrpCat", "MonoidHom.instFunLike", "MonoidHom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.Functor.comp", "DivInvMonoid.toMonoid", "instOfNatNat", "Monoid.npow_zero", "autoParam...
false
CategoryTheory.CartesianMonoidalCategory.prodComparison_inv_natural_whiskerRight
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.IsIso.inv_comp_eq", "id", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianM...
true
RingFilterBasis.submodulesBasisIsBasis
Mathlib.Topology.Algebra.Nonarchimedean.Bases
[ "Submodule", "CommRing", "instHSMul", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Filter.Eventually", "AddMonoid.toAddZeroClass", "setOf", "RingFilterBasis.topology", "AddCommGroup.toAddGroup", "Membership.mem", ...
true
CategoryTheory.sheafHom'._proof_2
Mathlib.CategoryTheory.Sites.SheafHom
[ "CategoryTheory.Over", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "TypeCat.instFunLikeFun", "TypeCat.ofHom", "TypeCat.Fun.toFun", "CategoryTheory.Obje...
false
_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.free_bot.match_1_1
Mathlib.Combinatorics.SimpleGraph.Copy
[ "SimpleGraph.Copy.mk", "SimpleGraph.IsContained", "RelHom.instFunLike", "SimpleGraph.Adj", "SimpleGraph.Copy", "SimpleGraph.Copy.casesOn", "Bot.bot", "Nonempty.intro", "SimpleGraph", "Nonempty.casesOn", "SimpleGraph.completeAtomicBooleanAlgebra", "Function.Injective", "SimpleGraph.Hom", "C...
false
DoldKan.«_aux_Mathlib_AlgebraicTopology_DoldKan_Notations___macroRules_DoldKan_termK[_]_1»
Mathlib.AlgebraicTopology.DoldKan.Notations
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr3",...
false
CategoryTheory.Abelian.subobjectIsoSubobjectOp._proof_1
Mathlib.CategoryTheory.Abelian.Subobject
[ "CategoryTheory.Abelian.toPreadditive", "Eq.mpr", "CategoryTheory.Abelian.comp_epiDesc", "CategoryTheory.unop_epi_of_mono", "Opposite", "CategoryTheory.Limits.cokernel.desc", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "CategoryTh...
false
Height.mulHeight₁
Mathlib.NumberTheory.Height.Basic
[ "Real.partialOrder", "Real", "HMul.hMul", "Multiset.map", "Multiset.prod", "Height.AdmissibleAbsValues.nonarchAbsVal", "Membership.mem", "Real.semiring", "Set.Elem", "Height.AdmissibleAbsValues", "Field.toSemifield", "Real.instOne", "finprod", "Real.instMax", "Semifield.toDivisionSemirin...
true
_private.Mathlib.Data.Ordmap.Ordset.0.Ordnode.Bounded.match_1.splitter._sparseCasesOn_2
Mathlib.Data.Ordmap.Ordset
[ "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "Nat.shiftRight", "Option.some", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Option.none", "Nat", "Bool", "Eq.refl", "OfNat.ofNat", "Bool.false", "Option" ]
false
UInt64.toFin_ofNatTruncate_of_le
Init.Data.UInt.Lemmas
[ "UInt64.size", "congrArg", "UInt64.toFin_ofNatTruncate_of_le._proof_1", "HSub.hSub", "Fin.mk", "UInt64.ofNatTruncate", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "UInt64.toNat", "Fin.val", "instHSub", "UInt64.toFin_val", "Nat", "True", "eq_self", "Iff.mp", "of_eq_true", ...
true
CategoryTheory.Functor.mapMonIdIso.eq_1
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.Functor.mapMonIdIso._proof_2", "CategoryTheory.Functor", "CategoryTheory.Functor.mapMonIdIso._proof_4", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Mon.mkIso", "CategoryTheory.Functor.id", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "C...
true
_private.Mathlib.Analysis.Convex.Deriv.0.StrictAntiOn.strictConcaveOn_of_deriv._simp_1_1
Mathlib.Analysis.Convex.Deriv
[ "NegZeroClass.toNeg", "Pi.instNeg", "NormedSpace", "deriv", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "deriv.neg", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "SubtractionCommMonoid.toSubtractionMonoid", "SeminormedAddCommGroup.toPseudoMetricSpace...
false
TotalComplexShape.symmSymmetry._proof_4
Mathlib.Algebra.Homology.ComplexShapeSigns
[ "Eq.mpr", "HMul.hMul", "congrArg", "Units", "id", "Prod.mk", "Int", "ComplexShape", "Units.instOne", "Int.instMonoid", "ComplexShape.ε₂", "congr", "TotalComplexShape", "One.toOfNat1", "Eq.refl", "TotalComplexShape.symm", "Units.instMul", "mul_one", "OfNat.ofNat", "ComplexShape....
false
Mathlib.Explode.Entry.ctorIdx
Mathlib.Tactic.Explode.Datatypes
[ "Mathlib.Explode.Entry", "Nat" ]
false
ContinuousAlternatingMap.addCommMonoid._proof_2
Mathlib.Topology.Algebra.Module.Alternating.Basic
[ "AddMonoid.toAddZeroClass", "ContinuousMultilinearMap.addCommMonoid", "ContinuousMultilinearMap", "AddZeroClass.zero_add", "AddSemigroup.mk", "AddCommMonoid", "TopologicalSpace", "instHAdd", "AddSemigroup.toAdd", "ContinuousAlternatingMap.toContinuousMultilinearMap", "ContinuousAlternatingMap.to...
false
_private.Lean.Elab.Deriving.Basic.0.Lean.Elab.Term.mkInst.go._unsafe_rec
Lean.Elab.Deriving.Basic
[ "Std.Rco", "Pure.pure", "Lean.Core.instMonadTraceCoreM", "OptionT.instMonad", "Lean.instantiateMVars", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Std.instToFormatString", "Array.mkEmpty", "Lean.mkAppN", "_private.Lean.Elab.Deriving.Basic.0.Lean.Elab.Term...
false
CategoryTheory.PreOneHypercover.p₁_sigmaOfIsColimit_assoc
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Cofan", "congrArg", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.I₁", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.Discrete.functor", "Eq...
true
MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1
Mathlib.MeasureTheory.Function.Jacobian
[ "ENNReal.instCanonicallyOrderedAdd", "NNReal.instTopologicalSpace", "half_lt_self", "MeasureTheory.ae", "Set.Subset.antisymm", "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "ContinuousLinearMap.continuous_det", "Lattice", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddC...
true
ContinuousAt.comp₂
Mathlib.Topology.Constructions.SumProd
[ "ContinuousAt", "instTopologicalSpaceProd", "Prod.mk", "TopologicalSpace", "ContinuousAt.comp", "Prod", "ContinuousAt.prodMk" ]
true
Subfield.mem_mk
Mathlib.Algebra.Field.Subfield.Defs
[ "Subring.toSubsemiring", "GroupWithZero.toDivisionMonoid", "Subring.instSetLike", "DivInvOneMonoid.toInvOneClass", "Ring.toNonAssocRing", "Iff.rfl", "Submonoid.toSubsemigroup", "DivisionSemiring.toGroupWithZero", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "DivisionRing.toDivisionSemir...
true
RingTheory.Sequence.IsWeaklyRegular.recIterModByRegularWithRing._unary._proof_16
Mathlib.RingTheory.Regular.RegularSequence
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "List", "CommRing.toCommSemiring", "RingTheory.Sequence.IsWeaklyRegular", "Module", "PSigma" ]
false
CochainComplex.Lifting.hasLift
Mathlib.Algebra.Homology.ModelCategory.Lifting
[ "CategoryTheory.Abelian.toPreadditive", "Eq.mpr", "CategoryTheory.Category.assoc", "HomologicalComplex.hom_ext", "CochainComplex.Lifting.cochain₀._proof_1", "HomologicalComplex.instCategory", "CategoryTheory.Limits.KernelFork.ofι", "CategoryTheory.CommSq.HasLift", "CochainComplex.HomComplex.instAddC...
true
_private.Mathlib.Topology.Algebra.AsymptoticCone.0.asymptoticCone_affineSubspace._simp_1_4
Mathlib.Topology.Algebra.AsymptoticCone
[ "AddCommGroup.toAddCommMonoid", "LinearOrder", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGroup", "Field.toSemifield", "Filter.Frequently", "TopologicalSpace", "asymptoticCone", "Semifield.toDivisionSemiring", "mem_asymptoticCone_iff", "AddTorsor", "propext", "DivisionSemiring.to...
false
Lean.SCC.State.noConfusion
Lean.Util.SCC
[ "Lean.SCC.State.noConfusionType", "HEq.refl", "Lean.SCC.State", "Lean.SCC.State.casesOn", "Std.HashMap", "List", "Nat", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Hashable", "Lean.SCC.Data", "BEq", "Eq" ]
false
CoxeterSystem.length_mul_mod_two
Mathlib.GroupTheory.Coxeter.Length
[ "Eq.mpr", "MonoidHom.instMonoidHomClass", "MonoidHom.instFunLike", "Equiv.instEquivLike", "HMul.hMul", "ZMod.commRing", "AddMonoid.toAddSemigroup", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "Group", "Eq.mp", "id", ...
true
String.Internal.anyImpl
Init.Data.String.Search
[ "String.Slice.Pattern.CharPred.instToForwardSearcherForallCharBoolDefaultForwardSearcher", "String", "String.Slice.Pattern.ToForwardSearcher.DefaultForwardSearcher.instIteratorLoopIdSearchStep", "String.Slice", "String.Slice.Pattern.ToForwardSearcher.DefaultForwardSearcher", "String.Slice.Pattern.CharPred...
true
Lean.Meta.Grind.Arith.Cutsat.ToIntInfo.mulThms?
Lean.Meta.Tactic.Grind.Arith.Cutsat.ToIntInfo
[ "Lean.Meta.Grind.Arith.Cutsat.ToIntInfo", "Lean.Meta.Grind.Arith.Cutsat.ToIntThms", "Option" ]
true
Std.Tactic.BVDecide.BVExpr.bitblast.go_denote_mem_prefix._proof_1
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Expr
[ "Std.Sat.AIG.Decl", "Std.Tactic.BVDecide.BVExpr.bitblast.go", "LE.le", "instLENat", "Std.Sat.AIG", "Nat", "LT.lt", "Std.Tactic.BVDecide.BVExpr.Cache", "Std.Tactic.BVDecide.BVExpr.Return.result", "Std.Tactic.BVDecide.BVExpr", "instLTNat", "Std.Tactic.BVDecide.instDecidableEqBVBit", "Std.Sat.A...
false
CategoryTheory.Limits.Types.binaryCoproductCocone_ι_app
Mathlib.CategoryTheory.Limits.Types.Coproducts
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "TypeCat.ofHom", "Sum", "Sum.inl", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Discrete.mk", "Unit", "CategoryTheory.Discrete.as", "CategoryTheory.Limits.Cocone.ι", "...
true
Lean.Parser.Level.paren.formatter
Lean.Parser.Level
[ "Lean.PrettyPrinter.Formatter", "Lean.Parser.levelParser.formatter", "Lean.Parser.withCache.formatter", "Lean.Parser.leadingNode.formatter", "instOfNatNat", "Lean.PrettyPrinter.Formatter.withAntiquot.formatter", "Lean.Parser.symbol.formatter", "Bool.true", "Nat", "Lean.Parser.withoutPosition.forma...
true
List.fillNones.eq_4
Batteries.Data.List.Basic
[ "List.cons", "Option.none", "List", "Eq.refl", "List.fillNones", "Eq", "Option" ]
true
FreeMagma.instMonad
Mathlib.Algebra.Free
[ "MulHom", "FreeMagma.lift", "Unit.unit", "Equiv.instEquivLike", "Seq.mk", "SeqLeft.mk", "Function.comp", "Equiv", "SeqRight.mk", "Pure.mk", "Functor.mk", "FreeMagma.of", "Applicative.mk", "Unit", "MulHom.funLike", "Function.const", "Monad.mk", "FreeMagma.instMul", "Monad", "Bin...
true
FloatArray.instForInFloatOfMonad
Init.Data.FloatArray.Basic
[ "FloatArray", "Float", "FloatArray.forIn", "ForIn.mk", "ForIn", "Monad" ]
true
_private.Mathlib.Algebra.Category.Grp.Basic.0.GrpCat.Hom.mk.injEq
Mathlib.Algebra.Category.Grp.Basic
[ "GrpCat", "MonoidHom", "GrpCat.str", "Eq.propIntro", "Monoid.toMulOneClass", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "_private.Mathlib.Algebra.Category.Grp.Basic.0.GrpCat.Hom.mk", "MulOneClass.toMulOne", "GrpCat.Hom", "Eq.ndrec", "Eq.refl", "GrpCat.carrier", "Eq", "_private.Math...
true
RingQuot.definition._proof_5._@.Mathlib.Algebra.RingQuot.2555519587._hygCtx._hyg.2
Mathlib.Algebra.RingQuot
[ "AlgHom.toMonoidHom'._proof_2", "AlgHom", "AlgHom.funLike", "Algebra", "RingHom", "RingQuot.instSemiring", "RingQuot", "RingQuot.mkAlgHom", "congr_arg", "CommSemiring", "RingHom.instFunLike", "RingQuot.instAlgebra", "RingHomClass.toRingHom", "RingQuot.mkAlgHom_rel", "RingQuot.definition....
false
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Proof.0.Lean.Meta.Grind.Arith.CommRing.getSContext.match_1
Lean.Meta.Tactic.Grind.Arith.CommRing.Proof
[ "_private.Lean.Meta.Tactic.Grind.Arith.CommRing.Proof.0.Lean.Meta.Grind.Arith.CommRing.getSContext._sparseCasesOn_1", "Option.ctorIdx", "Option.some", "Lean.Expr", "Nat.hasNotBit", "Option" ]
false
_private.Mathlib.RingTheory.RingHom.Locally.0.RingHom.locally_iff_exists.match_1_3
Mathlib.RingTheory.RingHom.Locally
[ "CommRing", "Semiring.toModule", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsLocalization.Away", "Algebra", "RingHom", "Exists", "Submodule.instTop", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "RingHom.comp", "CommRing.toCommSemiring", "Exists.casesOn", "NonAssocSemiri...
false
_private.Mathlib.Geometry.Manifold.GroupLieAlgebra.0.mpullback_mulInvariantVectorField._simp_1_3
Mathlib.Geometry.Manifold.GroupLieAlgebra
[ "HMul.hMul", "zpow_mul", "DivInvMonoid.toZPow", "DivisionMonoid", "Int", "DivisionMonoid.toDivInvMonoid", "Int.instMul", "HPow.hPow", "instHPow", "Eq.symm", "Eq", "instHMul" ]
false
Lean.Meta.Simp.dpreDefault
Lean.Meta.Tactic.Simp.Rewrite
[ "HAndThen.hAndThen", "instHAndThenOfAndThen", "Lean.Meta.Simp.instAndThenDSimproc", "Unit", "Lean.Meta.Simp.userPreDSimprocs", "Lean.Meta.Simp.DSimproc", "Lean.Meta.Simp.SimprocsArray", "Lean.Meta.Simp.drewritePre" ]
true
MProd.mk._flat_ctor
Init.Prelude
[ "MProd.mk", "MProd" ]
false
_private.Mathlib.Data.List.NodupEquivFin.0.List.sublist_iff_exists_fin_orderEmbedding_get_eq._proof_1_4
Mathlib.Data.List.NodupEquivFin
[ "Fin.val_fin_lt", "Eq.mpr", "dite_congr", "Preorder.toLT", "StrictMono", "congrArg", "PartialOrder.toPreorder", "_private.Mathlib.Data.List.NodupEquivFin.0.List.sublist_iff_exists_fin_orderEmbedding_get_eq._proof_1_2", "Lean.Grind.Nat.lt_eq", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "...
false