name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
AddCommMonCat.coyonedaForget.eq_1
Mathlib.Algebra.Category.MonCat.Yoneda
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddCommMonCat.instCategory", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "AddCommMonCat", "AddZeroClass.toAddZero", "TypeC...
true
ContinuousOn.cfcₙ_fun
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Continuity
[ "Nontrivial", "cfcₙ", "Eq.mpr", "instSMulOfMul", "Equiv.instEquivLike", "ContinuousWithinAt", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsTopologicalSemiring", "IsScalarTower", "ContinuousStar", "nhdsWithin", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocR...
true
PNat.coprime_one._simp_1
Mathlib.Data.PNat.Prime
[ "PNat.Coprime", "instOfNatPNatOfNeZeroNat", "instOfNatNat", "Nat.instNeZeroSucc", "PNat.coprime_one", "Nat", "True", "eq_true", "OfNat.ofNat", "Eq", "PNat" ]
false
Function.partialInv_left
Mathlib.Logic.Function.Basic
[ "Function.Injective.isPartialInv", "Option.some", "Function.partialInv", "Function.Injective", "Eq", "Function.IsPartialInv.eq", "Option" ]
true
CategoryTheory.Join.mapPairComp_hom_app_right
Mathlib.CategoryTheory.Join.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Join.instCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "id", "CategoryTheory.Join.right", "CategoryTheory.Category.comp...
true
Cardinal.mul_natCast_inj._simp_1
Mathlib.SetTheory.Cardinal.Arithmetic
[ "HMul.hMul", "Cardinal", "Cardinal.instMul", "Ne", "instOfNatNat", "Nat.cast", "Cardinal.mul_natCast_inj", "Nat", "propext", "OfNat.ofNat", "Eq", "Cardinal.instNatCast", "instHMul" ]
false
MulActionHom.mk._flat_ctor
Mathlib.GroupTheory.GroupAction.Hom
[ "instHSMul", "SMul", "MulActionHom.mk", "HSMul.hSMul", "MulActionHom", "Eq" ]
false
Function.Injective.factorsThrough
Mathlib.Logic.Function.Basic
[ "Function.FactorsThrough", "congr_arg", "Function.Injective", "Eq" ]
true
AffineIsometryEquiv.coe_symm_toContinuousAffineEquiv
Mathlib.Analysis.Normed.Affine.Isometry
[ "NormedCommRing.toNormedRing", "AffineIsometryEquiv.instEquivLike", "SeminormedAddCommGroup", "NormedRing.toRing", "NormedSpace", "ContinuousAffineEquiv.instFunLike", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AffineIsometryEquiv.toContinuousAffineEquiv", "ContinuousAffineEquiv",...
true
_private.Batteries.Tactic.Lint.Misc.0.Batteries.Tactic.Lint.univParamsGrouped._sparseCasesOn_1
Batteries.Tactic.Lint.Misc
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
CategoryTheory.Oplax.OplaxTrans.whiskerLeft_naturality_id
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
[ "Eq.mpr", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory.whiskerRight", "id", "CategoryTheory.Bicategory.toCategoryStruct", ...
true
MeasureTheory.NullMeasurableSet._auto_1
Mathlib.MeasureTheory.Measure.NullMeasurable
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
OrderMonoidWithZeroHom.coe_mk
Mathlib.Algebra.Order.Hom.MonoidWithZero
[ "ZeroHom.toFun", "OrderMonoidWithZeroHom", "OrderMonoidWithZeroHom.mk", "Monotone", "MonoidWithZeroHom.funLike", "MonoidWithZeroHom.toZeroHom", "MulZeroOneClass", "MonoidWithZeroHom", "MulZeroOneClass.toMulZeroClass", "Eq", "DFunLike.coe", "rfl", "Preorder", "MulZeroClass.toZero", "Order...
true
birkhoffSum_of_comp_eq
Mathlib.Dynamics.BirkhoffSum.Basic
[ "instHSMul", "congrArg", "Finset", "AddMonoid.toNSMul", "Finset.card_range", "Function.comp", "Membership.mem", "Nat.iterate", "AddCommMonoid", "birkhoffSum", "Finset.range", "funext", "Finset.instSetLike", "congrFun", "Nat", "True", "eq_self", "Finset.card", "of_eq_true", "Eq....
true
Laplacian.laplacian
Mathlib.Analysis.Distribution.DerivNotation
[ "outParam", "Laplacian" ]
true
AddEquiv.toAdditive_toMultiplicative_symm_apply
Mathlib.Algebra.Group.Equiv.TypeTags
[ "Equiv.instEquivLike", "Additive", "AddZeroClass.toAddZero", "Equiv", "Additive.ofMul", "Multiplicative", "AddZeroClass", "Additive.add", "AddEquiv", "AddZero.toAdd", "Eq.refl", "Multiplicative.ofAdd", "AddEquiv.toAdditive_toMultiplicative", "Multiplicative.mul", "AddEquiv.instEquivLike"...
true
Pell.dnsq
Mathlib.NumberTheory.PellMatiyasevic
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Meta.NormNum.isNat_add", "Mathlib.Tactic.RingNF.add_assoc_rev", "Nat.mul_self_lt_mul_self_iff", "Mathlib.Tactic.Ring.Common.mul_congr", "HMul.hMul", "Mathlib.Tactic.Ring.Common.add_pf_add_overlap"...
true
Lean.Lsp.CreateFile.mk.inj
Lean.Data.Lsp.Basic
[ "Lean.Lsp.CreateFile.mk.noConfusion", "String", "Lean.Lsp.CreateFile", "Lean.Lsp.CreateFile.mk", "Lean.Lsp.DocumentUri", "And", "Lean.Lsp.CreateFile.Options", "And.intro", "Eq", "Option" ]
true
Set.fintypeAdd
Mathlib.Algebra.Group.Pointwise.Set.Finite
[ "Set.Elem", "instHAdd", "Set.add", "Fintype", "HAdd.hAdd", "Set.fintypeImage2", "Add", "DecidableEq", "Set" ]
true
CategoryTheory.ObjectProperty.instSmallPair
Mathlib.CategoryTheory.ObjectProperty.Small
[ "small_sum", "CategoryTheory.ObjectProperty.ofObj", "CategoryTheory.ObjectProperty.pair", "CategoryTheory.ObjectProperty.Small", "inferInstance", "Sum", "id", "UnivLE.small", "CategoryTheory.ObjectProperty.instSmallOfObjOfSmall", "Unit", "UnivLE.self", "CategoryTheory.Category.toCategoryStruct...
true
TopologicalAddGroup.IsSES.isOpenQuotientMap
Mathlib.Topology.Algebra.Group.Extension
[ "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "TopologicalSpace", "AddGroup", "AddGroup.toSubNegMonoid", "SubNegMonoid.toAddMonoid", "IsOpenQuotientMap", "AddMonoidHom", "AddMonoidHom.instFunLike", "TopologicalAddGroup.IsSES", "DFunLike.coe" ]
true
_aux_Init_Notation___unexpand_HAppend_hAppend_1
Init.Notation
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", ...
false
Ideal.IsHomogeneous.isPrime_of_homogeneous_mem_or_mem
Mathlib.RingTheory.GradedAlgebra.Radical
[ "GradedRing.toGradedMonoid", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Mathlib.Tactic.Push.not_exists._simp_1", "SetLike", "Eq.mpr", "instDecidableNot", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Push.not_and_eq", "False", "DirectSum.decomposeRingEquiv", "Mathlib.Ta...
true
RingHom.StableUnderCompositionWithLocalizationAwayTarget.and
Mathlib.RingTheory.LocalProperties.Basic
[ "RingHom.StableUnderCompositionWithLocalizationAwayTarget", "CommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "IsLocalization.Away", "Algebra", "RingHom", "RingHom.comp", "And", "CommRing.toCommSemiring", "And.right", "And.left", "And.intro", "Semiring.toNonAssocSemiring" ]
true
Finset.EquitableOn.le_add_one
Mathlib.Data.Set.Equitable
[ "Set.EquitableOn", "instHDiv", "Nat.instOne", "Finset", "Finset.equitableOn_iff_le_le_add_one", "Membership.mem", "HDiv.hDiv", "instOfNatNat", "LE.le", "instLENat", "instHAdd", "And", "SetLike.coe", "And.right", "Finset.instSetLike", "HAdd.hAdd", "Nat", "Nat.instDiv", "Iff.mp", ...
true
_private.Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence.0.CategoryTheory.Abelian.SpectralObject.instHasSpectralSequenceFinHAddNatOfNatProdIntCoreE₂CohomologicalFin._proof_11
Mathlib.Algebra.Homology.SpectralObject.HasSpectralSequence
[ "Lean.RArray.leaf", "False", "Int.Linear.eq_eq_true", "congrArg", "Classical.byContradiction", "HSub.hSub", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "False.casesOn", "instOfNatNat", "Int", "Bool.true", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "True", "Bool", "Int.i...
false
SimpleGraph.Walk.IsCycle.of_mapLe
Mathlib.Combinatorics.SimpleGraph.Paths
[ "SimpleGraph.Walk.IsCycle", "SimpleGraph.Walk", "LE.le", "SimpleGraph", "SimpleGraph.Walk.mapLe", "Iff.mp", "SimpleGraph.Walk.mapLe_isCycle", "SimpleGraph.instLE" ]
true
Nat.lcm_mul_right_right
Init.Data.Nat.Lcm
[ "Nat.lcm", "Dvd.dvd", "HMul.hMul", "congrArg", "and_self", "_private.Init.Data.Nat.Lcm.0.Nat.lcm_mul_right_right._simp_1_2", "instMulNat", "imp_self._simp_1", "_private.Init.Data.Nat.Lcm.0.Nat.lcm_mul_right_right._simp_1_1", "And", "Nat.instDvd", "implies_congr", "Nat", "congr", "True", ...
true
_private.Qq.Macro.0.Qq.Impl.unquoteExpr.match_5
Qq.Macro
[ "Lean.Expr.const", "Lean.Expr", "Nat.hasNotBit", "Lean.Level", "List", "_private.Qq.Macro.0.Qq.Impl.isBad._sparseCasesOn_1", "Lean.Name", "Lean.Expr.ctorIdx" ]
false
AddGroupExtension.Equiv.ofAddMonoidHom._proof_4
Mathlib.GroupTheory.GroupExtension.Basic
[ "Function.invFun", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "AddMonoidHom.instAddMonoidHomClass", "AddGroupExtension", "ZeroHom.toFun", "congrArg", "AddMonoid.toAddZeroClass", "AddGroupExtension.range_inl_eq_ker_rightHom", "AddMonoidHom.range", "AddMonoidHom.toZeroHom", ...
false
_private.Mathlib.NumberTheory.ModularForms.SlashActions.0.ModularForm.«term_∣[_]__1»
Mathlib.NumberTheory.ModularForms.SlashActions
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "Lean.ParserDescr.trailingNode", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.Name.anonymous", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.cat", "OfNat.ofNat", "Lean.Name.mkStr1", "Lean.TrailingParserDescr" ]
true
Int.two_dvd_ne_zero._simp_1
Mathlib.Algebra.Group.Int.Even
[ "Dvd.dvd", "instHMod", "Int", "Int.instDvd", "HMod.hMod", "instOfNat", "Int.two_dvd_ne_zero", "propext", "Int.instMod", "OfNat.ofNat", "Eq", "Not" ]
false
Int8.neg_one_or
Init.Data.SInt.Bitwise
[ "Eq.mpr", "instHOrOfOrOp", "congrArg", "Int8.toBitVec_neg", "Int8.instNeg", "BitVec.neg_one_eq_allOnes", "Int8", "BitVec.instOrOp", "BitVec.allOnes", "BitVec", "id", "Int8.toBitVec_inj", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "instOrOpInt8", "HOr.hOr", "BitVec.allOnes_or...
true
Real.arcsin_le_arcsin
Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
[ "Real.instLE", "Real", "Real.monotone_arcsin", "Real.arcsin", "LE.le" ]
true
CategoryTheory.shift_shiftFunctorCompIsoId_add_neg_cancel_hom_app
Mathlib.CategoryTheory.Shift.Basic
[ "CategoryTheory.shift_shiftFunctorCompIsoId_hom_app", "AddGroup.toSubtractionMonoid", "add_neg_cancel", "NegZeroClass.toNeg", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFun...
true
Mathlib.Tactic.RingNF.RingMode.raw.elim
Mathlib.Tactic.Ring.RingNF
[ "PULift.up", "Mathlib.Tactic.RingNF.RingMode.raw", "Mathlib.Tactic.RingNF.RingMode.ctorElim", "Nat", "Eq.symm", "Eq", "Mathlib.Tactic.RingNF.RingMode.ctorIdx", "Mathlib.Tactic.RingNF.RingMode" ]
false
Ideal.quotientMulEquivQuotientProd._proof_3
Mathlib.RingTheory.Ideal.Quotient.Operations
[ "CommRing", "Semiring.toModule", "HMul.hMul", "CommSemiring.toSemiring", "Ideal.mul_eq_inf_of_isCoprime", "Ideal.quotientMulEquivQuotientProd._proof_1", "Ideal.instIdemCommSemiring", "Ideal", "Submodule.mul", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "NonAssocSemi...
false
_private.Lean.Data.RBMap.0.Lean.RBNode.isSingleton._sparseCasesOn_1.else_eq
Lean.Data.RBMap
[ "Lean.RBColor", "Lean.RBNode", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Bool.true", "Nat.land", "absurd", "Lean.RBNode.node", "Lean.RBNode.leaf", "Lean.RBNode.ctorIdx", "Nat", "Lean.RBNode.casesOn", "Bool", "Eq.ndrec", "Nat.eq_of_beq_eq_true", "Eq.refl", "_private.Lean.D...
false
_private.Lean.Elab.PreDefinition.Eqns.0.Lean.Elab.Eqns.simpEqnType.match_1
Lean.Elab.PreDefinition.Eqns
[ "_private.Lean.Elab.PreDefinition.Eqns.0.Lean.Elab.Eqns.simpEqnType._sparseCasesOn_1", "Option.ctorIdx", "_private.Lean.Elab.PreDefinition.Eqns.0.Lean.Elab.Eqns.unfoldThmType._sparseCasesOn_1", "Option.some", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "Prod.mk", "Lean.Expr.fvar", "Prod", "Lean...
false
Std.Tactic.BVDecide.BVExpr.bitblast.blastExtract.go_get
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Extract
[ "Std.Sat.AIG.RefVec.get", "Std.Tactic.BVDecide.BVExpr.bitblast.blastExtract.go", "LE.le", "instLENat", "Std.Sat.AIG.Ref", "instHAdd", "Std.Sat.AIG", "HAdd.hAdd", "Std.Sat.AIG.RefVec.getD", "Nat", "LT.lt", "PSigma.mk", "instAddNat", "Hashable", "Std.Sat.AIG.mkConstCached", "instLTNat", ...
true
BoundedContinuousFunction.probCharDual
Mathlib.MeasureTheory.Measure.CharacteristicFunction.Basic
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "SeminormedAddCommGroup", "Semiring.toModule", "NormedSpace", "ContinuousLinearMap.topologicalSpace", "IsBoundedBilinearMap.toContinuousLinearMap", "Real.denselyNormedField", "Real.instRCLike", "BoundedContinuousFu...
true
Real.hasSum_sinh
Mathlib.Analysis.SpecialFunctions.Trigonometric.Series
[ "NormedCommRing.toSeminormedCommRing", "Real", "Complex.sinh", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "congrArg", "Complex.hasSum_ofReal._simp_1", "Real.instDivInvMonoid", "SummationFilter", "Complex.instNormedField", "Complex.ofReal_div._simp_1", "PseudoMe...
true
Nat.sub_max_sub_right._f
Init.Data.Nat.Lemmas
[ "_private.Init.Data.Nat.Lemmas.0.Nat.sub_max_sub_right.match_1_1", "congrArg", "Nat.pred_max_pred", "HSub.hSub", "instSubNat", "instOfNatNat", "Nat.below", "instHAdd", "instHSub", "HAdd.hAdd", "Max.max", "Nat", "instAddNat", "Nat.sub", "Nat.instMax", "OfNat.ofNat", "Nat.succ", "Eq"...
false
CategoryTheory.IsIso.instUnmopOfMonoidalOpposite
Mathlib.CategoryTheory.Monoidal.Opposite
[ "CategoryTheory.IsIso", "CategoryTheory.unmopFunctor", "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalOpposite", "Quiver.Hom", "Quiver.Hom.unmop", "CategoryTheory.Functor.map_isIso", "CategoryTheory.Category.toCategoryStruct", "CategoryTh...
true
CommMonCat.coyonedaType._proof_2
Mathlib.Algebra.Category.MonCat.Yoneda
[ "Pi.monoidHom", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Monoid.toMulOneClass", "id", "CommMonCat.str", "MonoidHom.comp", "Pi.commMonoid", "CommMonCat.carrier", "CommMonCat.Hom.hom", "Pi.mulOneClass", "MulOneClass.toMulOne", "CommMonCat", "CommMonoid.toMonoid"...
false
Batteries.RBNode.all._unsafe_rec
Batteries.Data.RBMap.Basic
[ "Batteries.RBNode", "Batteries.RBNode.fold.match_1", "Bool.and", "Bool.true", "Unit", "Batteries.RBNode.all._unsafe_rec", "Batteries.RBColor", "Bool" ]
false
MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving._proof_1
Mathlib.MeasureTheory.Function.LpSpace.Indicator
[ "MeasureTheory.MeasurePreserving", "Eq.mpr", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "MeasurableSet.nullMeasurableSet", "id", "Ne", "MeasurableSpace", "Set.preimage", "ENNReal", "ENNReal.instTop", "Top.top", "Eq", "DFunLike.coe", "MeasureTheory.MeasurePreserving.measure_p...
false
_private.Mathlib.NumberTheory.ModularForms.EisensteinSeries.E2.Transform.0.EisensteinSeries.δ._proof_1
Mathlib.NumberTheory.ModularForms.EisensteinSeries.E2.Transform
[ "Nat.instAtLeastTwoHAddOfNat", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "instAddNat", "OfNat.ofNat", "Nat.AtLeastTwo" ]
false
MeasureTheory.IsStoppingTime.measurableSet_ge
Mathlib.Probability.Process.Stopping
[ "Set.ext", "Eq.mpr", "MeasureTheory.IsStoppingTime", "OrderTopology", "Preorder.toLT", "MeasurableSet", "MeasureTheory.Filtration.seq", "WithTop.instPreorder", "congrArg", "Compl.compl", "LinearOrder", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "MeasureTheory.IsStoppingTime.mea...
true
_private.Mathlib.Algebra.Polynomial.Div.0.Polynomial.sub_dvd_eval_sub._simp_1_1
Mathlib.Algebra.Polynomial.Div
[ "Polynomial.C", "CommRing", "Dvd.dvd", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "Polynomial.IsRoot", "semigroupDvd", "HSub.hSub", "RingHom", "SemigroupWithZero.toSemigroup", "NonUnitalSemiring.toSemigroupWithZero", "Polynomial", "NonUnitalCommSemiring.toNonUnitalSemiring", ...
false
Mathlib.Tactic.withResetServerInfo.Result.mk.noConfusion
Mathlib.Tactic.Basic
[ "Mathlib.Tactic.withResetServerInfo.Result.mk", "Lean.Elab.InfoTree", "id", "Lean.PersistentArray", "Mathlib.Tactic.withResetServerInfo.Result.noConfusion", "Mathlib.Tactic.withResetServerInfo.Result", "heq_of_eq", "Eq.refl", "HEq", "Eq", "Lean.MessageLog", "Option" ]
false
ProfiniteAddGrp.instIsTopologicalAddGroupCarrierToTopTotallyDisconnectedSpacePtProfiniteLimitConeCompForget₂ContinuousAddMonoidHomToProfiniteContinuousMap
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
[ "CategoryTheory.Functor", "ContinuousAddMonoidHom", "ContinuousMap", "CategoryTheory.Functor.comp", "ProfiniteAddGrp", "ProfiniteAddGrp.instAddGroupCarrierToTopTotallyDisconnectedSpacePtProfiniteLimitConeCompForget₂ContinuousAddMonoidHomToProfiniteContinuousMap", "CategoryTheory.SmallCategory", "Total...
true
MvPolynomial.eval₂_uniqueAlgEquiv_symm
Mathlib.Algebra.MvPolynomial.Equiv
[ "Eq.mpr", "Inhabited.default", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "AlgEquiv.symm", "congrArg", "CommSemiring.toSemiring", "MvPolynomial.eval₂_uniqueAlgEquiv", "Unique", "AddMonoidAlgebra.algebra", "Polynomial.algebraOfAlgebra", "Finsupp.instAddMonoid", "Nat.instAddMonoid", ...
true
Filter.CountableFilterBasis.rec
Mathlib.Order.Filter.CountablyGenerated
[ "Filter.CountableFilterBasis.mk", "FilterBasis.sets", "FilterBasis", "Filter.CountableFilterBasis", "Set.Countable", "Set" ]
false
Algebra.Extension.homInfinitesimal._proof_5
Mathlib.RingTheory.Smooth.Basic
[ "RingHom.instRingHomClass", "CommRing", "Algebra.Extension.commRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "AlgHom.algHomClass", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "Algebra.Extension.ker", "CommSemiring.toSemiring", "Id...
false
Std.ExtDHashMap.mem_alter_of_beq
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.alter", "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Std.DHashMap.mem_alter_of_beq", "instLawfulHashableOfLawfulBEq", "LawfulBEq", "Membership.mem", "Std.ExtDHashMap.inductionOn", "Bool.true", "BEq.beq", "Iff", "Std.ExtDHashMap", "Bool", "Hashable", "instEq...
true
CategoryTheory.ShortComplex.leftHomologyFunctor_obj
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.instCategory", "CategoryTheory.ShortComplex.leftHomology", "CategoryTheory.Limits.HasCokernels", "CategoryTheory.Limits.HasKernels", "Eq.refl", "CategoryTheory.ShortComplex.leftHomologyFunctor._proof_...
true
Prefunctor.mapPath._sunfold
Mathlib.Combinatorics.Quiver.Path
[ "Quiver.Hom", "Quiver.Path.nil", "Quiver.Path", "Quiver.Path.length.match_1", "Quiver.Path.cons", "Unit", "Prefunctor.map", "Prefunctor", "Quiver", "Prefunctor.mapPath", "Prefunctor.obj" ]
false
List.length_pos_of_sum_pos
Mathlib.Algebra.BigOperators.Group.List.Basic
[ "Preorder.toLT", "AddMonoid.toAddZeroClass", "List.sum", "AddZeroClass.toAddZero", "instOfNatNat", "LT.lt.ne'", "AddZero.toZero", "List", "Nat", "LT.lt", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", "instLTNat", "OfNat.ofNat", "List.length", "Preorder", "List.length_pos_of_sum_ne...
true
_private.Lean.Compiler.LCNF.StructProjCases.0.Lean.Compiler.LCNF.StructProjCases.visitCode._sparseCasesOn_10
Lean.Compiler.LCNF.StructProjCases
[ "Lean.Compiler.LCNF.Arg", "Nat.ne_of_beq_eq_false", "Lean.Compiler.LCNF.Alt.ctorIdx", "Nat.shiftRight", "Lean.Expr", "Lean.Compiler.LCNF.FunDecl", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.Alt.rec", "Lean.Compiler.LCNF.Purity.pure", "Arr...
false
_private.Mathlib.CategoryTheory.ObjectProperty.LimitsClosure.0.CategoryTheory.ObjectProperty.strictLimitsClosureStep_strictLimitsClosureIter_eq_self._simp_1_1
Mathlib.CategoryTheory.ObjectProperty.LimitsClosure
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Prop.instCompleteLattice", "SemilatticeSup.toMax", "CategoryTheory.ObjectProperty.prop_sup_iff", "Pi.instMaxForall_mathlib", "Max.max", "propext", "CategoryTheory.Category.toCategoryStruct", "Or", "Eq", "CategoryTheory.ObjectProperty", ...
false
CategoryTheory.Congruence.compLeft
Mathlib.CategoryTheory.Quotient
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomRel", "CategoryTheory.HomRel.IsStableUnderPrecomp.comp_left", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.HomRel.IsStableUnderPrecomp", "CategoryTheory.Category" ]
true
_private.Mathlib.ModelTheory.Semantics.0.FirstOrder.Language.StrongHomClass.realize_boundedFormula._simp_1_7
Mathlib.ModelTheory.Semantics
[ "Function.comp", "Sum", "Sum.comp_elim", "Eq.symm", "Eq", "Sum.elim" ]
false
_private.Lean.Compiler.LCNF.Probing.0.Lean.Compiler.LCNF.Probe.filterByFun.go
Lean.Compiler.LCNF.Probing
[ "Inhabited.default", "instInhabitedOfMonad", "instInhabitedBool", "IO.RealWorld", "Lean.Compiler.LCNF.FunDecl", "Lean.Compiler.LCNF.Purity", "Lean.Compiler.LCNF.CompilerM.State", "Lean.Compiler.LCNF.Code", "Lean.Core.CoreM", "StateRefT'", "StateRefT'.instMonad", "Lean.Compiler.LCNF.CompilerM",...
true
_private.Lean.Meta.Tactic.TryThis.0.Lean.Meta.Tactic.TryThis.tryThisProvider._sparseCasesOn_6
Lean.Meta.Tactic.TryThis
[ "Lean.Elab.PartialTermInfo", "Lean.Elab.Info.ofOptionInfo", "Nat.ne_of_beq_eq_false", "Lean.Elab.Info.ofTacticInfo", "Lean.Elab.FieldRedeclInfo", "Lean.Elab.CompletionInfo", "Lean.Elab.OptionInfo", "Nat.shiftRight", "Lean.Elab.Info.rec", "Lean.Elab.MacroExpansionInfo", "Nat.hasNotBit", "instOf...
false
ContDiffBump.mk.injEq
Mathlib.Analysis.Calculus.BumpFunction.Basic
[ "Real", "Real.instZero", "Eq.propIntro", "Lean.injEq_helper", "Real.instLT", "And", "ContDiffBump", "LT.lt", "Eq.ndrec", "ContDiffBump.mk.inj", "Zero.toOfNat0", "Eq.refl", "OfNat.ofNat", "Eq", "ContDiffBump.mk" ]
true
CategoryTheory.Limits.piConst
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Limits.HasProducts", "CategoryTheory.Functor.mk", "CategoryTheory.Functor.category", "CategoryTheory.Limits.piConst._proof_2", "Quiver.Hom.unop", "...
true
_private.Lean.Data.RBMap.0.Lean.RBNode.max.match_1
Lean.Data.RBMap
[ "Unit.unit", "Lean.RBColor", "_private.Lean.Data.RBMap.0.Lean.RBNode.min._sparseCasesOn_1", "Lean.RBNode", "Nat.hasNotBit", "Unit", "Lean.RBNode.node", "Lean.RBNode.leaf", "Lean.RBNode.ctorIdx", "Lean.RBNode.casesOn" ]
false
ProbabilityTheory.Kernel.measurable_singularPart
Mathlib.Probability.Kernel.RadonNikodym
[ "Eq.mpr", "ProbabilityTheory.Kernel.IsSFiniteKernel.add", "MeasureTheory.Measure.instMeasurableSpace", "Real", "ENNReal.ofNNReal", "ProbabilityTheory.IsFiniteKernel", "MeasureTheory.Measure", "HMul.hMul", "MeasurableSet", "congrArg", "CommSemiring.toSemiring", "Real.instSub", "Measurable", ...
true
MeasureTheory.continuousOn_setToFun_of_dominated
Mathlib.MeasureTheory.Integral.SetToL1
[ "MeasureTheory.ae", "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Real.instLE", "Real", "MeasureTheory.Measure", "ContinuousWithinAt", "NormedSpace", "Real.denselyNormedField", "AddCommGroup.toAddCommMonoid", "nhdsWithin", "Filter.Eventually", "NormedSpace.toModule", "setOf", "Pse...
true
WittVector.IsPoly
Mathlib.RingTheory.WittVector.IsPoly
[ "CommRing", "WittVector", "Nat", "WittVector.IsPoly.mk'" ]
true
CategoryTheory.Limits.Fork.isoForkOfι_hom_hom
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Limits.Fork.ofι", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.Fork", "CategoryTheory.Limits.Cone.pt", "CategoryT...
true
Finset.not_isDiag_mk_of_mem_offDiag
Mathlib.Data.Finset.Sym
[ "Eq.mpr", "Sym2.mk", "congrArg", "Finset", "Membership.mem", "Eq.mp", "id", "Prod.mk", "Finset.mem_offDiag._simp_1", "Finset.offDiag", "And", "_private.Mathlib.Data.Finset.Sym.0.Finset.not_isDiag_mk_of_mem_offDiag._proof_1_1", "Sym2.mk_isDiag_iff._simp_1", "Finset.instSetLike", "Prod", ...
true
Std.DTreeMap.minKey?_eq_head?_keys
Std.Data.DTreeMap.Lemmas
[ "List.head?", "Std.DTreeMap", "Ord.mk", "Ordering", "Std.DTreeMap.Internal.Impl.minKey?_eq_head?_keys", "Std.DTreeMap.inner", "Std.TransCmp", "Std.DTreeMap.wf", "Std.DTreeMap.minKey?", "Std.DTreeMap.keys", "Eq", "Option" ]
true
Submonoid.pointwiseMulAction._proof_1
Mathlib.Algebra.Group.Submonoid.Pointwise
[ "Monoid.End.instOne", "Monoid", "Eq.mpr", "MonoidHom.instMonoidHomClass", "Monoid.End.instFunLike", "MulOne.toOne", "instHSMul", "MonoidHom.instFunLike", "MonoidHom", "Monoid.End.instMonoid", "Monoid.toMulOneClass", "congrArg", "MonoidHomClass.toOneHomClass", "id", "MulDistribMulAction.t...
false
TestFunction.Simps.coe
Mathlib.Analysis.Distribution.TestFunction
[ "Real", "NormedSpace", "TestFunction.toTestFunctionClass", "PseudoMetricSpace.toUniformSpace", "TopologicalSpace.Opens", "SeminormedAddCommGroup.toPseudoMetricSpace", "ENat", "TestFunction", "TestFunctionClass.toDFunLike", "Real.normedField", "NormedAddCommGroup.toSeminormedAddCommGroup", "Uni...
true
zsmulRec.eq_2
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "zsmulRec", "Neg", "Nat", "Eq.refl", "Int.negSucc", "Nat.succ", "Eq", "Neg.neg", "Add", "Zero" ]
true
instLawfulCommIdentityUSizeHMulOfNat
Init.Data.UInt.Lemmas
[ "Std.Identity.mk", "HMul.hMul", "instCommutativeUSizeHMul", "Std.LeftIdentity.mk", "Std.LawfulCommIdentity.mk", "USize.mul_one", "instMulUSize", "Std.LawfulRightIdentity.mk", "Std.LawfulCommIdentity", "Std.Commutative.comm", "OfNat.ofNat", "Std.LawfulLeftIdentity.mk", "Std.LawfulIdentity.mk"...
true
_private.Std.Data.DHashMap.Lemmas.0.Std.DHashMap.Const.getKey!_insertManyIfNewUnit_list_of_not_mem_of_mem._simp_1_1
Std.Data.DHashMap.Lemmas
[ "Membership.mem", "Std.DHashMap.instMembership", "Std.DHashMap.mem_iff_contains", "Bool.true", "Std.DHashMap.contains", "propext", "Bool", "Hashable", "BEq", "Eq", "Std.DHashMap" ]
false
SSet.stdSimplex.coe_edge_down_toOrderHom
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "CategoryTheory.Functor", "Opposite", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.yoneda", "instOfNatNat", "LE.le", "instLEFin", "instHAdd", "OrderHom.instFunLike", "Fin.instPartialOrder", "HAdd.hAdd", "SimplexCategory.mk", "Opposite.op", "Nat", "Categ...
true
_private.Std.Internal.Http.Internal.String.0.Std.Http.Internal.UnquoteState._sizeOf_1
Std.Internal.Http.Internal.String
[ "String", "instOfNatNat", "_private.Std.Internal.Http.Internal.String.0.Std.Http.Internal.UnquoteState", "instHAdd", "HAdd.hAdd", "_private.Std.Internal.Http.Internal.String.0.Std.Http.Internal.UnquoteState.rec", "Nat", "SizeOf.sizeOf", "Bool", "instAddNat", "String._sizeOf_inst", "OfNat.ofNat...
false
_private.Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent.0.logDeriv_sineTerm_eq_cotTerm._simp_1_3
Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent
[ "False", "eq_false", "instOfNatNat", "two_ne_zero", "Nat", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
Set.finite_mem_finset
Mathlib.Data.Set.Finite.Basic
[ "Finset", "setOf", "Set.Finite", "Membership.mem", "Set.Elem", "Finite.of_fintype", "Set.toFinite", "Finset.instSetLike", "Set.fintypeMemFinset", "SetLike.instMembership" ]
true
_private.Mathlib.Data.QPF.Multivariate.Constructions.Sigma.0.MvQPF.Pi.abs.match_1.splitter
Mathlib.Data.QPF.Multivariate.Constructions.Sigma
[ "MvPFunctor.Obj", "MvQPF.Pi.abs.match_1", "MvPFunctor.A", "MvQPF.Pi.P", "Nat", "MvPFunctor.B", "MvQPF", "Sigma.mk", "TypeVec.Arrow", "TypeVec" ]
true
Std.DTreeMap.Internal.RccSliceData.noConfusion
Std.Data.DTreeMap.Internal.Zipper
[ "Ord", "HEq.refl", "Std.DTreeMap.Internal.RccSliceData.noConfusionType", "eq_of_heq", "Eq.ndrec", "HEq", "Std.DTreeMap.Internal.RccSliceData.casesOn", "Eq", "Std.Rcc", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.RccSliceData" ]
false
AddCon.prod.eq_1
Mathlib.GroupTheory.Congruence.Basic
[ "AddCon", "Prod.instAdd", "AddCon.prod._proof_1", "AddCon.toSetoid", "AddCon.prod", "Eq.refl", "Prod", "Setoid.prod", "AddCon.mk", "Eq", "Add" ]
true
CategoryTheory.Bicategory.Adj.forget₁._proof_3
Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
[ "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Bicategory.Adj.Hom.l", "Quiver.Hom", "id", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory.Adj.Hom₂.τl", "CategoryTheory.Bicategory.Adj.obj", "CategoryTheory.Bicategory.Adj.inst", "CategoryTheory.Bicategory", "Categ...
false
List.min_mem
Init.Data.List.MinMax
[ "List.min", "Membership.mem", "Ne", "List.min?_mem", "Min", "List", "List.instMembership", "Std.MinEqOr", "List.min?_eq_some_min", "List.nil" ]
true
_private.Mathlib.Topology.Algebra.Group.Basic.0.IsTopologicalGroup.exists_antitone_basis_nhds_one._simp_1_6
Mathlib.Topology.Algebra.Group.Basic
[ "forall_true_left", "True", "propext", "Eq", "True.intro" ]
false
ChevalleyThm.MvPolynomialC.numBound._mutual._proof_1
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "PSum.casesOn", "invImage", "PSum", "Prod.mk", "instOfNatNat", "sizeOfWFRel", "Lean.opaqueId", "Nat", "instSizeOfNat", "Prod.instWellFoundedRelation", "Prod", "OfNat.ofNat", "WellFounded" ]
false
CategoryTheory.MorphismProperty.IsWeakFactorizationSystem.rlp
Mathlib.CategoryTheory.MorphismProperty.WeakFactorizationSystem
[ "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.rlp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.MorphismProperty.IsWeakFactorizationSystem", "CategoryTheory.Category" ]
true
irrational_div_intCast_iff
Mathlib.NumberTheory.Real.Irrational
[ "AddGroup.toSubtractionMonoid", "Rat.instOfNat", "Int.cast", "Eq.mpr", "Rat.cast_intCast", "Real", "instHDiv", "DivisionRing.toRatCast", "AddGroupWithOne.toAddGroup", "congrArg", "Real.instDivInvMonoid", "Iff.rfl", "Real.instRatCast", "Rat", "Rat.instIntCast", "id", "HDiv.hDiv", "R...
true
Char.quoteCore
Init.Data.Repr
[ "Bool.not", "String", "_private.Init.Data.Repr.0.Char.quoteCore.smallCharToHex", "Char.toNat", "Bool.and", "instDecidableEqBool", "instOfNatNat", "LE.le", "instLENat", "Bool.true", "Nat", "Bool", "Char", "Or", "String.Internal.append", "optParam", "OfNat.ofNat", "Bool.false", "St...
true
_private.Lean.Compiler.IR.Format.0.Lean.IR.formatFnBody.loop
Lean.Compiler.IR.Format
[ "Std.instInhabitedFormat", "Inhabited.default", "Lean.IR.FnBody", "Nat", "Std.Format" ]
true
CategoryTheory.Functor.pointwiseRightKanExtension_lift_app
Mathlib.CategoryTheory.Functor.KanExtension.Pointwise
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Functor.liftOfIsRightKanExtension_fac", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor.pointwiseRightKanExtensionCounit", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.Categ...
true
Turing.PartrecToTM2.contSupp_fix
Mathlib.Computability.TuringMachine.ToPartrec
[ "Turing.PartrecToTM2.trStmts₁", "Turing.PartrecToTM2.Cont'", "_private.Mathlib.Computability.TuringMachine.ToPartrec.0.Turing.PartrecToTM2.contSupp_fix._simp_1_16", "Finset.instUnion", "congrArg", "true_or", "Finset", "Finset.union_assoc", "Turing.PartrecToTM2.Λ'.instDecidableEq", "Membership.mem"...
true
Real.ofDigitsTerm_nonneg
Mathlib.Analysis.Real.OfDigits
[ "Real.instIsOrderedRing", "mul_nonneg", "Real.partialOrder", "Real.instLE", "Real", "IsOrderedRing.toPosMulMono", "pow_nonneg", "IsOrderedRing.toZeroLEOneClass", "MulZeroClass.toMul", "Real.instZero", "Real.instZeroLEOneClass", "Real.instInv", "PartialOrder.toPreorder", "AddGroupWithOne.to...
true
CategoryTheory.Cat.FreeRefl.homMk
Mathlib.CategoryTheory.Category.ReflQuiv
[ "CategoryTheory.Cat.FreeRefl.mk", "CategoryTheory.Cat.FreeRefl.instCategory", "Quiver.Hom", "CategoryTheory.catToReflQuiver", "CategoryTheory.Paths.categoryPaths", "CategoryTheory.Paths", "CategoryTheory.Cat.FreeRefl.quotientFunctor", "CategoryTheory.Functor.map", "Quiver.Hom.toPath", "CategoryThe...
true
Lean.Widget.instRpcEncodableGetGoToLocationParams.enc._@.Lean.Server.FileWorker.WidgetRequests.1564534894._hygCtx._hyg.1
Lean.Server.FileWorker.WidgetRequests
[ "Pure.pure", "Lean.Json", "Lean.Widget.RpcEncodablePacket._@.Lean.Server.FileWorker.WidgetRequests.1564534894._hygCtx._hyg.1", "Lean.Widget.instToJsonRpcEncodablePacket._@.Lean.Server.FileWorker.WidgetRequests.3927793126._hygCtx._hyg.30", "Lean.Server.WithRpcRef", "Monad.toApplicative", "Lean.Widget.Rpc...
false
CategoryTheory.EffectiveEpiFamilyStruct.desc.congr_simp
Mathlib.CategoryTheory.Sites.EffectiveEpimorphic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.EffectiveEpiFamilyStruct", "Eq.rec", "CategoryTheory.EffectiveEpiFamilyStruct.desc", "CategoryTheory.CategoryStruct.comp", "Eq.ndrec", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Category" ]
true