name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CochainComplex.HomComplex.Cochain.map_add
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "Eq.mpr", "CategoryTheory.Functor", "HomologicalComplex.instCategory", "CochainComplex.HomComplex.instAddCommGroupCochain", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "CategoryTheory.Functor.Additive", "AddGroupWithOne.toAddMonoidWithOne", ...
true
Std.Tactic.BVDecide.LRAT.Internal.instHashablePosFin
Std.Tactic.BVDecide.LRAT.Internal.PosFin
[ "instOfNatNat", "instHashableNat", "Hashable.mk", "And", "Hashable.hash", "Nat", "LT.lt", "Hashable", "instLTNat", "OfNat.ofNat", "Subtype.val", "Std.Tactic.BVDecide.LRAT.Internal.PosFin" ]
true
_private.Lean.Compiler.IR.LLVMBindings.0.LLVM.BasicBlock.mk.inj
Lean.Compiler.IR.LLVMBindings
[ "_private.Lean.Compiler.IR.LLVMBindings.0.LLVM.BasicBlock.mk.noConfusion", "_private.Lean.Compiler.IR.LLVMBindings.0.LLVM.BasicBlock.mk", "LLVM.BasicBlock", "Eq", "USize" ]
true
Finsupp.sum_curry_index
Mathlib.Data.Finsupp.Basic
[ "Eq.mpr", "congrArg", "Finsupp.sum", "Finsupp.uncurry", "id", "Finsupp.uncurry_curry", "Finsupp.curry", "Prod.fst", "AddCommMonoid", "Finsupp.sum_uncurry_index'", "Eq.refl", "Finsupp.instZero", "Prod", "Eq.symm", "Eq", "Prod.snd", "Finsupp", "Zero" ]
true
Field.zpow._inherited_default
Mathlib.Algebra.Field.Defs
[ "Mul.mk", "One.mk", "id", "Int", "npowRec", "Inv.mk", "zpowRec" ]
false
ConvexCone.IsReproducing.sub_eq_univ
Mathlib.Geometry.Convex.Cone.Basic
[ "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Set.univ", "AddMonoid.toAddZeroClass", "HSub.hSub", "ConvexCone.instSetLike", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "PartialOrder", "AddCommGroup", "DistribSMul.toSMulZeroClass", "SubNegMonoid.toSub", "AddZero....
true
Std.ExtDTreeMap.Const.getKey?_filterMap
Std.Data.ExtDTreeMap.Lemmas
[ "Option.pfilter", "Std.ExtDTreeMap.getKey?", "Std.DTreeMap", "Std.DTreeMap.Const.getKey?_filterMap", "Std.ExtDTreeMap.mem_of_getKey?_eq_some", "Option.some", "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.filterMap", "Std.ExtDTreeMap.inductionOn", "Std.ExtDTreeMap", "Option.isSome", "Std.ExtDT...
true
Congr!.Config.mk.noConfusion
Mathlib.Tactic.CongrExclamation
[ "id", "Lean.Meta.TransparencyMode", "Congr!.Config.mk", "Nat", "Bool", "Congr!.Config", "Eq", "Congr!.Config.noConfusion", "Option" ]
false
ProbabilityTheory.IsGaussianProcess.rec
Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Def
[ "Pi.Function.module", "Real", "MeasureTheory.Measure", "Pi.addCommMonoid", "Pi.topologicalSpace", "ProbabilityTheory.IsGaussianProcess", "Finset", "Finset.restrict", "Membership.mem", "ProbabilityTheory.IsGaussianProcess.mk", "Real.semiring", "ProbabilityTheory.HasGaussianLaw", "Subtype", ...
false
_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj._sizeOf_inst
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj._sizeOf_1", "CommRing", "_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.InductionObj", "SizeOf.mk", "Nat", "SizeOf" ]
false
Std.HashMap.Raw.all_eq_true_iff_forall_mem_getElem
Std.Data.HashMap.RawLemmas
[ "GetElem?.toGetElem", "Std.DHashMap.Raw.Const.all_eq_true_iff_forall_contains_get", "Std.HashMap.Raw.WF.out", "LawfulBEq", "Membership.mem", "Std.HashMap.Raw.WF", "Std.HashMap.Raw", "GetElem.getElem", "Bool.true", "Iff", "Std.HashMap.Raw.instGetElem?Mem", "Bool", "Std.HashMap.Raw.inner", "...
true
_private.Mathlib.Tactic.Translate.Reorder.0.Mathlib.Tactic.Translate.guessUnivReorder.match_7
Mathlib.Tactic.Translate.Reorder
[ "Unit.unit", "Option.casesOn", "Option.some", "Prod.mk", "Option.none", "List", "Unit", "Nat", "Prod", "Prod.casesOn", "Option" ]
false
_private.Batteries.Data.BinomialHeap.Basic.0.Batteries.BinomialHeap.Imp.Heap.WF.merge'.match_1_7
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.Heap.WF", "Batteries.BinomialHeap.Imp.Heap.rankGT", "Batteries.BinomialHeap.Imp.Heap", "instOfNatNat", "Batteries.BinomialHeap.Imp.Heap.merge", "And.casesOn", "instHAdd", "And", "Iff", "HAdd.hAdd", "Nat", "And.intro", "Bool", "instAddNat", "OfNat.ofNat" ]
false
Fin.le_rev_iff
Mathlib.Data.Fin.Rev
[ "Eq.mpr", "Fin.rev_le_rev", "congrArg", "Iff.rfl", "id", "LE.le", "instLEFin", "Iff", "Fin.rev", "Nat", "propext", "Fin.rev_rev", "Eq.symm", "Fin", "Eq" ]
true
symmDiff.«_aux_Mathlib_Order_SymmDiff___macroRules_symmDiff_term_∆__1»
Mathlib.Order.SymmDiff
[ "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", "ReaderT.instMonad"...
false
DirichletCharacter.completedLFunction.eq_1
Mathlib.NumberTheory.LSeries.DirichletContinuation
[ "ZMod.completedLFunction", "DirichletCharacter.completedLFunction", "Nat.instMulZeroClass", "ZMod.commRing", "MulChar.instFunLike", "Field.toSemifield", "ZMod", "Nat", "Semifield.toCommGroupWithZero", "DirichletCharacter", "Eq.refl", "Complex", "CommRing.toCommMonoid", "NeZero", "CommGro...
true
IsOrderedSMul.mk
Mathlib.Algebra.Order.AddTorsor
[ "instHSMul", "SMul", "LE.le", "LE", "HSMul.hSMul", "IsOrderedSMul.mk", "IsOrderedSMul" ]
true
CategoryTheory.Preadditive.comp_sum_assoc
Mathlib.CategoryTheory.Preadditive.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommMonoid", "Finset", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Preadditive", "CategoryTheory.Preadditive.comp_sum", "CategoryTheory.CategoryStruc...
true
supClosed_singleton._simp_1
Mathlib.Order.SupClosed
[ "Set.instSingletonSet", "SupClosed", "supClosed_singleton", "True", "eq_true", "Singleton.singleton", "Eq", "SemilatticeSup", "Set" ]
false
Lean.Lsp.SemanticTokenModifier.noConfusionType
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.SemanticTokenModifier", "noConfusionTypeEnum", "Lean.Lsp.SemanticTokenModifier.ctorIdx", "Nat", "instDecidableEqNat" ]
true
_private.Mathlib.RingTheory.Coalgebra.CoassocSimps.0.CoassocSimps.assoc_comp_map_rid_symm_assoc._simp_1_2
Mathlib.RingTheory.Coalgebra.CoassocSimps
[ "LinearMap.id", "LinearEquiv.symm", "Semiring.toModule", "TensorProduct.rid", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "TensorProduct.map", "LinearMap", "AddCommMonoid", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "LinearMap.comp", "LinearEquiv.toLinearMap",...
false
CategoryTheory.Bimon.ofMonComonObjX_X
Mathlib.CategoryTheory.Monoidal.Bimon_
[ "CategoryTheory.Bimon.ofMonComonObjX", "CategoryTheory.MonoidalCategory", "CategoryTheory.BraidedCategory", "CategoryTheory.Comon.instCategory", "CategoryTheory.Mon", "CategoryTheory.Mon.X", "CategoryTheory.Comon.monoidal", "Eq.refl", "Eq", "CategoryTheory.Comon", "CategoryTheory.Category", "C...
true
_private.Batteries.Tactic.GeneralizeProofs.0.Batteries.Tactic._aux_Batteries_Tactic_GeneralizeProofs___elabRules_Batteries_Tactic_generalizeProofsElab_1.match_1
Batteries.Tactic.GeneralizeProofs
[ "Unit.unit", "Lean.Elab.Tactic.Location.casesOn", "Lean.Syntax", "Lean.Elab.Tactic.Location.targets", "Array", "Unit", "Lean.Elab.Tactic.Location.wildcard", "Lean.Elab.Tactic.Location", "Bool" ]
false
Polynomial.eval₂_at_natCast
Mathlib.Algebra.Polynomial.Eval.Defs
[ "Eq.mpr", "Polynomial.eval", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "congrArg", "HEq.refl", "RingHom", "Eq.casesOn", "Polynomial.eval₂", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "Polynomial", "RingHom.instFunLike",...
true
PartialEquiv.forall_mem_target
Mathlib.Logic.Equiv.PartialEquiv
[ "Eq.mpr", "congrArg", "PartialEquiv.target", "PartialEquiv", "Iff.rfl", "PartialEquiv.image_source_eq_target", "Membership.mem", "id", "Iff", "propext", "PartialEquiv.source", "Set.image", "PartialEquiv.toFun", "Eq.symm", "Eq", "Set.instMembership", "Set.forall_mem_image", "Set" ]
true
_private.Mathlib.Logic.IsEmpty.Basic.0.isEmpty_subtype._simp_1_2
Mathlib.Logic.IsEmpty.Basic
[ "Exists", "Subtype", "nonempty_subtype", "propext", "Nonempty", "Eq" ]
false
AlgebraicGeometry.coprodIsoSigma._proof_1
Mathlib.AlgebraicGeometry.Limits
[ "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Discrete.instSubsingletonDiscreteHom", "AlgebraicGeometry.Scheme.forget", "CategoryTheory.Functor.comp", "UnivLE.small", "CategoryTheory.instIsLocallyDirectedDiscrete", "CategoryTheory.Limits.WalkingP...
false
ENNReal.lt_top_of_mul_ne_top_left
Mathlib.Data.ENNReal.Operations
[ "Iff.mpr", "Preorder.toLT", "HMul.hMul", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Preorder.toLE", "Ne", "ENNReal.instCommSemiring", "lt_top_iff_ne_top", "ENNReal.mul_eq_top", "instDistribOfSemiring", "And", "OrderTop.toTop", "Distrib.toMul", "And.intro", "LT.lt", "ENNRe...
true
BitVec.reduceGetElem._regBuiltin.BitVec.reduceGetElem.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.BitVec.3722409294._hygCtx._hyg.28
Lean.Meta.Tactic.Simp.BuiltinSimprocs.BitVec
[ "IO", "BitVec.reduceGetElem", "Bool.true", "Unit", "Lean.Meta.Simp.addSEvalprocBuiltinAttr", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.Simproc" ]
false
Std.ExtDHashMap.isEmpty
Std.Data.ExtDHashMap.Basic
[ "Std.DHashMap.Equiv", "Std.DHashMap.Equiv.isEmpty_eq", "Std.ExtDHashMap.lift", "LawfulHashable", "EquivBEq", "Std.ExtDHashMap", "Bool", "Hashable", "BEq", "Std.DHashMap.isEmpty", "Std.DHashMap" ]
true
Lean.Parser.Tactic.nativeDecide
Init.Tactics
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Parser.Tactic.optConfig", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1", "Lean.Name.mkStr4" ]
true
_private.Lean.Compiler.LCNF.Types.0.Lean.Compiler.LCNF.isPropFormerType.match_1
Lean.Compiler.LCNF.Types
[ "Unit.unit", "Bool.true", "Unit", "Bool.casesOn", "Bool", "Bool.false" ]
false
Tropical.instAddCommSemigroupTropical
Mathlib.Algebra.Tropical.Basic
[ "LinearOrder", "Tropical.instAddCommSemigroupTropical._proof_2", "AddCommSemigroup.mk", "AddSemigroup.mk", "Tropical", "Tropical.instAddCommSemigroupTropical._proof_1", "AddCommSemigroup", "Tropical.instAdd" ]
true
Pi.Colex.completeLattice
Mathlib.Order.CompleteLattice.PiLex
[ "Preorder.toLT", "Colex", "CompletelyDistribLattice.toCompleteLattice", "LinearOrder", "WellFoundedGT", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "CompleteLattice.toBoundedOrder", "DistribLattice.toLattice", "Pi.Colex.linearOrder", "Pi.Colex.instSupSetColexForall", "Pi.Colex....
true
Path.Homotopy.trans_assoc_reparam
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
[ "not_le", "Iff.mpr", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "instNeZeroNatHAdd_1", "Subtype.mk.congr_simp", "Real.partialOrder", "Real.instLE", "Real", ...
true
CategoryTheory.Functor.leftOpComp_inv_app
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Category...
true
Nat.Prime.coprime_factorial_of_lt
Mathlib.Data.Nat.Prime.Factorial
[ "not_le", "Eq.mpr", "Nat.Coprime", "Nat.Prime", "Preorder.toLT", "Dvd.dvd", "congrArg", "Nat.Prime.dvd_factorial", "PartialOrder.toPreorder", "Preorder.toLE", "id", "LE.le", "instLENat", "Nat.instDvd", "Nat.factorial", "Nat", "LT.lt", "propext", "instLTNat", "Nat.Prime.coprime_...
true
Mathlib.Tactic.BicategoryLike.HorizontalComp.srcM
Mathlib.Tactic.CategoryTheory.Coherence.Normalize
[ "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.MonadMor₁", "Mathlib.Tactic.BicategoryLike.HorizontalComp.brecOn", "Mathlib.Tactic.BicategoryLike.HorizontalComp", "Monad", "Mathlib.Tactic.BicategoryLike.HorizontalComp.srcM._f" ]
true
MulDistribMulAction.smul_one
Mathlib.Algebra.Group.Action.Defs
[ "Monoid", "MulOne.toOne", "instHSMul", "Monoid.toMulOneClass", "MulOneClass.toMulOne", "Monoid.toSemigroup", "One.toOfNat1", "MulDistribMulAction.toMulAction", "HSMul.hSMul", "SemigroupAction.toSMul", "MulAction.toSemigroupAction", "OfNat.ofNat", "MulDistribMulAction", "Eq" ]
true
Lean.IR.ToIR.lowerLitValue
Lean.Compiler.IR.ToIR
[ "_private.Lean.Compiler.IR.ToIR.0.Lean.IR.ToIR.lowerLitValue.match_1", "UInt32.size", "UInt32.toNat", "Lean.Compiler.LCNF.LitValue", "UInt64", "Lean.IR.IRType.uint16", "String", "Lean.IR.LitVal.str", "Prod.mk", "Lean.IR.IRType.usize", "Lean.IR.IRType.uint32", "UInt64.toNat", "UInt16", "Nat...
true
Algebra.SubmersivePresentation.basisKaehlerOfIsCompl._proof_1
Mathlib.RingTheory.Smooth.StandardSmoothCotangent
[ "CommRing", "Algebra.to_smulCommClass", "instSMulOfMul", "CommSemiring.toSemiring", "Algebra", "Algebra.toSMul", "instDistribOfSemiring", "CommRing.toCommSemiring", "Distrib.toMul", "SMulCommClass" ]
false
FiberPrebundle.trivializationOfMemPretrivializationAtlas
Mathlib.Topology.FiberBundle.Basic
[ "FiberPrebundle.trivializationOfMemPretrivializationAtlas._proof_4", "FiberPrebundle.continuous_symm_of_mem_pretrivializationAtlas", "FiberPrebundle.trivializationOfMemPretrivializationAtlas._proof_6", "FiberPrebundle", "FiberPrebundle.trivializationOfMemPretrivializationAtlas._proof_5", "instTopologicalS...
true
ExceptCpsT.runCatch_bind_lift
Init.Control.ExceptCps
[ "ExceptCpsT.runCatch", "ExceptCpsT.instMonad", "ExceptCpsT.lift", "Monad.toBind", "Bind.bind", "ExceptCpsT", "Monad", "Eq", "rfl" ]
true
SubadditiveHomClass.casesOn
Mathlib.Algebra.Order.Hom.Basic
[ "SubadditiveHomClass", "LE.le", "LE", "instHAdd", "SubadditiveHomClass.rec", "HAdd.hAdd", "SubadditiveHomClass.mk", "DFunLike.coe", "Add", "FunLike" ]
false
LieIdeal.map_eq_bot_iff
Mathlib.Algebra.Lie.Ideal
[ "LieHom", "le_bot_iff", "LieAlgebra.toModule", "Eq.mpr", "CommRing", "LieSubmodule.instBot", "LieRing.toAddCommGroup", "congrArg", "OrderBot.toBot", "PartialOrder.toPreorder", "LieSubmodule.instPartialOrder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "LieIdeal.map", "id", "Bot...
true
CategoryTheory.Limits.map_lift_piComparison
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.Limits.piComparison_comp_π", "CategoryTheory.Limits.HasProduct", "CategoryTheory.Limits.piComparison", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Fan.mk", "congrArg", "CategoryTheory.Disc...
true
intervalIntegrable_of_even._auto_3
Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
LocallyConstant.instNonAssocSemiring._proof_4
Mathlib.Topology.LocallyConstant.Algebra
[ "HMul.hMul", "LocallyConstant", "LocallyConstant.instMul", "TopologicalSpace", "NonAssocSemiring", "Distrib.toMul", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "NonUnitalNonAssocSemiring.toDistrib", "LocallyConstant.instFunLike", "Eq", "DFunLike.coe", "rfl", "instHMul" ]
false
Std.Time.Week.instInhabitedOffset._aux_1
Std.Time.Date.Unit.Week
[ "Rat.instOfNat", "Rat.instMul", "HMul.hMul", "Rat", "Std.Time.Internal.instInhabitedUnitVal.default", "OfNat.ofNat", "Std.Time.Week.Offset", "instHMul" ]
false
Polynomial.ne_zero_of_coe_le_degree
Mathlib.Algebra.Polynomial.Degree.SmallDegree
[ "Iff.mpr", "WithBot.instPreorder", "Nat.zero_le", "Nat.instMulZeroClass", "WithBot.some", "WithBot", "Polynomial.zero_le_degree_iff", "WithBot.zero", "Preorder.toLE", "Ne", "instOfNatNat", "Polynomial.degree", "LE.le", "instLENat", "instNatCastNat", "Nat.cast", "WithBot.coe_le_coe", ...
true
_private.Mathlib.Computability.PartrecCode.0.Nat.Partrec.Code.primrec_evaln.match_1_1
Mathlib.Computability.PartrecCode
[ "Nat.Partrec.Code", "Prod.mk", "Nat", "Prod", "Prod.casesOn" ]
false
Std.Sat.CNF.Clause.of_maxLiteral_eq_some
Std.Sat.CNF.RelabelFin
[ "_private.Std.Sat.CNF.RelabelFin.0.Std.Sat.CNF.Clause.of_maxLiteral_eq_some._simp_1_6", "_private.Std.Sat.CNF.RelabelFin.0.Std.Sat.CNF.Clause.of_maxLiteral_eq_some._simp_1_2", "_private.Std.Sat.CNF.RelabelFin.0.Std.Sat.CNF.Clause.of_maxLiteral_eq_some._simp_1_3", "congrArg", "List.map", "Option.some", "...
true
List.zipWithLeftTR.go._sunfold
Batteries.Data.List.Basic
[ "List.zipWithLeftTR.go", "Array.push", "Option.some", "List.foldl", "Array.toList", "Array", "Option.none", "List", "List.zipWithLeft'TR.go.match_1", "Option" ]
false
List.pmap.congr_simp
Init.Data.List.Attach
[ "Membership.mem", "Eq.rec", "List.pmap", "List", "List.instMembership", "Eq.ndrec", "Eq.refl", "Eq" ]
true
Orientation.rotationAux
Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation
[ "LinearIsometry", "LinearMap.id", "InnerProductSpace.toNormedSpace", "Orientation", "Real.partialOrder", "Real", "instHSMul", "Real.Angle", "Real.instRCLike", "LinearIsometryEquiv.toLinearEquiv", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "Add...
true
_private.Std.Data.DTreeMap.Internal.WF.Lemmas.0.Std.DTreeMap.Internal.Impl.link2.match_3.eq_1
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Std.DTreeMap.Internal.Impl.Tree.mk", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "instHAdd", "Std.DTreeMap.Internal.Impl.link2.match_3", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Eq", "Std.DTreeMap.Internal.Impl.Tree", "Std.DTreeMap.Internal.Impl" ]
true
Fin.orderIsoSubtype_symm_apply
Mathlib.Order.Fin.Basic
[ "Fin.equivSubtype._proof_3", "Fin.mk", "Subtype", "RelIso.symm", "LE.le", "instLENat", "instLEFin", "RelIso", "RelIso.instFunLike", "Nat", "LT.lt", "Fin.orderIsoSubtype", "Eq.refl", "instLTNat", "Fin", "Subtype.val", "Eq", "DFunLike.coe", "Subtype.instLE" ]
true
Sym.attach_nil
Mathlib.Data.Sym.Basic
[ "Sym.nil", "Membership.mem", "Subtype", "instOfNatNat", "Sym.attach", "Nat", "Sym", "Sym.instMembership", "OfNat.ofNat", "Eq", "rfl" ]
true
BitVec.clz.eq_1
Init.Data.BitVec.Lemmas
[ "HSub.hSub", "BitVec", "instSubNat", "instOfNatNat", "BitVec.clzAuxRec", "instHSub", "Nat", "Eq.refl", "OfNat.ofNat", "BitVec.clz", "Eq" ]
true
AffineSubspace.affineSpan_pair_parallel_iff_exists_unit_smul'
Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Basic
[ "Eq.mpr", "Submodule", "IsDomain", "instHSMul", "vectorSpan", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Iff.rfl", "AddMonoid.toAddZeroClass", "Module.IsTorsionFree", "Units.instSMul", "AddCommGroup.toAddGroup", "Exists", "Units", "AddZeroClass.toAdd...
true
AlgHom.rec
Mathlib.Algebra.Algebra.Hom
[ "MulOne.toOne", "Algebra.algebraMap", "CommSemiring.toSemiring", "AlgHom", "Algebra", "RingHom", "NonAssocSemiring.toMulZeroOneClass", "MulZeroOneClass.toMulOneClass", "CommSemiring", "MulOneClass.toMulOne", "RingHom.instFunLike", "OneHom.toFun", "AlgHom.mk", "MonoidHom.toOneHom", "Semir...
false
Lean.Elab.ContextInfo.mk
Lean.Elab.InfoTree.Types
[ "Lean.Elab.CommandContextInfo", "Lean.Expr", "Lean.Elab.ContextInfo.mk", "Lean.Elab.ContextInfo", "Array", "Lean.Name", "Option" ]
true
hasStrictDerivAt_const
Mathlib.Analysis.Calculus.Deriv.Basic
[ "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "AddCommGroup.toAddGroup", "N...
true
LinearMap.compMultilinearMap_alternatization
Mathlib.LinearAlgebra.Alternating.Basic
[ "MultilinearMap.alternatization", "AlternatingMap.instAddCommGroup", "AlternatingMap", "instHSMul", "MonoidHom.instFunLike", "Pi.addCommMonoid", "Equiv.instEquivLike", "Finset.univ", "SemilinearMapClass.distribMulActionSemiHomClass", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "DistribM...
true
VectorField.mlieBracket_add_right
Mathlib.Geometry.Manifold.VectorField.LieBracket
[ "Prod.normedSpace", "CompleteSpace", "Prod.normedAddCommGroup", "TangentSpace.fiberBundle", "NormedSpace", "ENat.instNatCast", "AddCommGroup.toAddCommMonoid", "instAddCommGroupTangentSpace", "Set.univ", "Nat.instAtLeastTwoHAddOfNat", "PseudoMetricSpace.toUniformSpace", "MDifferentiableAt", "...
true
AlgebraicGeometry.Scheme.Pullback.openCoverOfLeftRight_f
Mathlib.AlgebraicGeometry.Pullbacks
[ "CategoryTheory.Limits.pullback", "AlgebraicGeometry.Scheme", "CategoryTheory.PreZeroHypercover.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.Scheme.Pullback.openCoverOfLeftRight._proof_1", "AlgebraicGeometry.Scheme.Pullback.openCoverOfLeftRight._proof_2", "AlgebraicGe...
true
CategoryTheory.MonoidalCategory.leftAssocTensor_obj
Mathlib.CategoryTheory.Monoidal.Category
[ "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.leftAssocTensor", "Prod.fst", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.uniformProd", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "Prod", "Eq", "Prod.snd", "CategoryTheory.Functor.obj", "...
true
GrpCat.limitCone.eq_1
Mathlib.Algebra.Category.Grp.Limits
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "GrpCat.hasForgetToMonCat", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "GrpCat", "MonoidHom.instFunLike", "MonoidHom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.liftLimit", "CategoryTheory.Functor.comp", "CategoryTheory.Li...
true
Std.Time.TimeZone.TZif.TZifV2._sizeOf_1
Std.Time.Zoned.Database.TzIf
[ "Option._sizeOf_inst", "String", "Std.Time.TimeZone.TZif.TZifV2", "Std.Time.TimeZone.TZif.TZifV1._sizeOf_inst", "instOfNatNat", "instHAdd", "Std.Time.TimeZone.TZif.TZifV2.rec", "HAdd.hAdd", "Std.Time.TimeZone.TZif.TZifV1", "Nat", "SizeOf.sizeOf", "instAddNat", "String._sizeOf_inst", "OfNat...
false
Module.Basis.constrL_basis
Mathlib.Topology.Algebra.Module.FiniteDimension
[ "NormedCommRing.toSeminormedCommRing", "Module.Basis.constrL", "CompleteSpace", "ContinuousSMul", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "Finite", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", ...
true
CategoryTheory.SingleFunctors.shiftIso_add_hom_app
Mathlib.CategoryTheory.Shift.SingleFunctors
[ "CategoryTheory.SingleFunctors.shiftIso_add", "CategoryTheory.Functor", "AddMonoid.toAddSemigroup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.associato...
true
Module.Flat.flat_iff_torsion_eq_bot_of_valuationRing_localization_isMaximal
Mathlib.RingTheory.Flat.TorsionFree
[ "Eq.mpr", "Submodule", "IsDomain", "CommRing", "Semiring.toModule", "IsScalarTower.right", "LocalizedModule", "OreLocalization.instAlgebra", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Submodule.torsion", "OreLocalization.instAddCommGroup", "Module.IsTorsionFree...
true
_private.Mathlib.NumberTheory.ModularForms.EisensteinSeries.QExpansion.0.EisensteinSeries.qExpansion_identity._simp_1_8
Mathlib.NumberTheory.ModularForms.EisensteinSeries.QExpansion
[ "GroupWithZero.toMonoidWithZero", "False", "GroupWithZero.toDivInvMonoid", "eq_false", "GroupWithZero", "DivInvMonoid.toZPow", "Ne", "Int", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "Zero.toOfNat0", "zpow_ne_zero", "instHPow", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq...
false
Filter.instSDiff
Mathlib.Order.Filter.Defs
[ "Filter.instMembership", "setOf", "Membership.mem", "Filter.instSDiff._proof_1", "Filter.mk", "HasSubset.Subset", "Set.instInter", "Inter.inter", "SDiff.mk", "SDiff", "Filter.instSDiff._proof_3", "Set.instMembership", "Filter.instSDiff._proof_2", "Filter", "Set.instHasSubset", "Set" ]
true
Ideal.Quotient.stabilizerHomSurjectiveAuxFunctor._proof_10
Mathlib.RingTheory.Invariant.Profinite
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "DivInvMonoid.toMonoid", "Subgroup", "Preorder.smallCategory", "LE.le", "Group.toDivInvMonoid", "TopologicalSpace", "MulOneClass.toMulOne", "MonoidHom.id", ...
false
TensorProduct.rTensor_injective_of_forall_fg_rTensor_injective
Mathlib.LinearAlgebra.TensorProduct.Vanishing
[ "TensorProduct.forall_vanishesTrivially_iff_forall_fg_rTensor_injective", "Iff.mpr", "Submodule", "CommRing", "Finset.univ", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Submodule.addCommMonoid", "TensorProduct.addCommMonoid", "LinearMap.instFunLike", "Membership.mem", "AddCommG...
true
_private.Mathlib.CategoryTheory.Limits.Shapes.Pullback.Assoc.0.CategoryTheory.Limits._aux_Mathlib_CategoryTheory_Limits_Shapes_Pullback_Assoc___macroRules__private_Mathlib_CategoryTheory_Limits_Shapes_Pullback_Assoc_0_CategoryTheory_Limits_termZ₁_1
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Assoc
[ "Pure.pure", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "Lean.Syntax.ident", "instMonadExceptOfMonadExceptOf", "String", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name.mkStr...
false
AlgebraicGeometry.Scheme.IdealSheafData.instZero
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.IdealSheafData.instOrderBot", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Bot.bot", "AlgebraicGeometry.Scheme.IdealSheafData.instPartialOrder", "AlgebraicGeometry.Scheme.IdealSheafData", "Zero.mk", "Zero" ]
true
MulAlgebraNorm.mk
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "MulAlgebraNorm", "Norm.norm", "SeminormedRing.toNorm", "Real", "instHSMul", "HMul.hMul", "SeminormedCommRing", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "SeminormedCommRing.toCommRing", "MulRingNorm.toMulRingSeminorm", "Algebra", "MulRingNorm", "Algebra.toSMul", "MulRingSemin...
true
Lean.Meta.Grind.Order.instInhabitedState.default
Lean.Meta.Tactic.Grind.Order.Types
[ "Lean.Meta.Grind.Order.State.mk", "Inhabited.default", "Lean.Meta.Grind.Order.Struct", "Lean.PHashMap", "Lean.Expr", "Lean.Meta.Grind.Order.State", "Array", "Lean.Meta.Sym.instHashableExprPtr", "Array.instInhabited", "Nat", "Lean.PersistentHashMap.instInhabited", "Lean.Meta.Sym.ExprPtr", "Pr...
true
Lean.Meta.Grind.Arith.Cutsat.FindIntValResult.dvd.elim
Lean.Meta.Tactic.Grind.Arith.Cutsat.Search
[ "PULift.up", "Lean.Meta.Grind.Arith.Cutsat.FindIntValResult.dvd", "Lean.Meta.Grind.Arith.Cutsat.FindIntValResult.ctorElim", "Lean.Meta.Grind.Arith.Cutsat.FindIntValResult", "Lean.Meta.Grind.Arith.Cutsat.FindIntValResult.ctorIdx", "Nat", "Eq.symm", "Eq" ]
false
MeasureTheory.measureReal_union'._auto_1
Mathlib.MeasureTheory.Measure.Real
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
RingHom.OfLocalizationSpan
Mathlib.RingTheory.LocalProperties.Basic
[ "CommRing", "Semiring.toModule", "CommSemiring.toSemiring", "Localization.Away", "RingHom", "Membership.mem", "Set.Elem", "Submodule.instTop", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "RingHom.instFunLike", "OreLocalization.oreSetComm", "CommMonoid.t...
true
Finset.inr_mem_sumLift₂
Mathlib.Data.Sum.Interval
[ "Eq.mpr", "Finset.mem_sumLift₂", "False", "congrArg", "Sum.inr.injEq", "Finset", "Membership.mem", "Exists", "Sum", "id", "Sum.inl", "_private.Mathlib.Data.Sum.Interval.0.Finset.inr_mem_sumLift₂._simp_1_2", "And.casesOn", "iff_self", "funext", "And", "Iff", "Exists.casesOn", "Fin...
true
Lean.Lsp.LeanModuleQuery.noConfusion
Lean.Data.Lsp.Internal
[ "String", "Lean.Lsp.LeanModuleQuery.noConfusionType", "Lean.Lsp.LeanModuleQuery.casesOn", "Array", "Eq.ndrec", "Eq.refl", "Lean.Lsp.OpenNamespace", "Eq", "Lean.Lsp.LeanModuleQuery" ]
false
instModuleUniformOnFun._proof_1
Mathlib.Topology.Algebra.UniformConvergence
[ "Pi.module._proof_1", "instHSMul", "Distrib.toAdd", "instAddCommMonoidUniformOnFun", "AddCommMonoid", "instDistribOfSemiring", "instHAdd", "instDistribMulActionUniformOnFun", "HAdd.hAdd", "Semiring.toMonoid", "Monoid.toSemigroup", "Semiring", "HSMul.hSMul", "Module.toDistribMulAction", "...
false
_private.Init.Data.Vector.Monadic.0.Array.forIn'_eq_foldlM.match_1.splitter
Init.Data.Vector.Monadic
[ "ForInStep.done", "ForInStep", "Array.forIn'_eq_foldlM.match_1", "ForInStep.yield" ]
true
Lean.Meta.SynthInstance.tryResolve
Lean.Meta.SynthInstance
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.instantiateMVars", "Lean.MessageData", "Lean.instMonadAlwaysExceptStateRefT'", "Lean.Meta.instMonadLCtxMetaM", "Lean.Core.instMonadLiftIOCoreM", "ReaderT", "instMonadControlTOfPure", "String", "Lean.instMonadTraceOfMonadLift", "Lean.Meta.Stat...
true
MonoidAlgebra.coeff_sub
Mathlib.Algebra.MonoidAlgebra.Defs
[ "MonoidAlgebra.coeff", "HSub.hSub", "AddCommGroup.toAddGroup", "SubtractionMonoid.toSubNegZeroMonoid", "SubtractionCommMonoid.toSubtractionMonoid", "SubNegMonoid.toSub", "instHSub", "AddGroup.toSubNegMonoid", "MonoidAlgebra.addCommGroup", "Ring.toAddCommGroup", "MonoidAlgebra", "AddCommGroup.t...
true
Interval.length_nonneg
Mathlib.Algebra.Order.Interval.Basic
[ "le_rfl", "NonemptyInterval.length_nonneg", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "Preorder.toLE", "_private.Mathlib.Algebra.Order.Interval.Basic.0.Interval.length_nonneg.match_1_1", "PartialOrder", "AddCommGroup", "SubtractionMonoid.toSubNegZeroMonoid", "Interval", "LE.le",...
true
Monotone.limsup_nhdsGT_eq_iInf₂
Mathlib.Topology.Order.LiminfLimsup
[ "OrderTopology", "Set.Ioi", "Preorder.toLT", "iInf", "NoMaxOrder", "LinearOrder", "nhdsWithin", "PartialOrder.toPreorder", "Monotone", "SemilatticeInf.toPartialOrder", "CompleteLattice.toConditionallyCompleteLattice", "DistribLattice.toLattice", "NoMaxOrder.exists_gt", "Filter.limsup", "...
true
ENNReal.coe_one
Mathlib.Data.ENNReal.Basic
[ "ENNReal.ofNNReal", "NNReal", "ENNReal", "One.toOfNat1", "ENNReal.instOne", "OfNat.ofNat", "Eq", "NNReal.instOne", "rfl" ]
true
FirstOrder.Language.LHom.mem_substructureReduct._simp_1
Mathlib.ModelTheory.Substructures
[ "FirstOrder.Language.LHom.substructureReduct", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "FirstOrder.Language.Substructure", "FirstOrder.Language.Structure", "FirstOrder.Language.LHom.IsExpansionOn", "propext", "FirstOrder.Languag...
false
BitVec.toNat_ofFnBE
Batteries.Data.BitVec.Lemmas
[ "Eq.mpr", "congrArg", "Function.comp", "id", "Nat.ofBits", "BitVec.toNat", "BitVec.toNat_ofFnLE", "Fin.rev", "Nat", "Bool", "Eq.refl", "congrFun'", "Fin", "Eq", "BitVec.ofFnBE" ]
true
CategoryTheory.Functor.instIsLeftKanExtensionIdInvRightUnitorOfIsDense
Mathlib.CategoryTheory.Functor.KanExtension.Dense
[ "CategoryTheory.Functor", "CategoryTheory.Functor.isDense_iff_nonempty_isPointwiseLeftKanExtension", "CategoryTheory.Functor.LeftExtension.mk", "CategoryTheory.Functor.IsLeftKanExtension", "CategoryTheory.Functor.LeftExtension.IsPointwiseLeftKanExtension.isLeftKanExtension", "CategoryTheory.Functor.catego...
true
FunctionField.instFiniteDimensionalSubtypeMemIntermediateFieldOfIsAlgebraic
Mathlib.NumberTheory.FunctionField
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "IntermediateField", "IsScalarTower", "IntermediateField.toField", "Algebra", "Algebra.toSMul", "Membership.mem", "Field.toDivisionRing", "DivisionRing.toDivisionSemiring", "Algebra.toModule", "...
true
Lean.Meta.Grind.Arith.CommRing.DiseqCnstr.ctorIdx
Lean.Meta.Tactic.Grind.Arith.CommRing.Types
[ "Nat", "Lean.Meta.Grind.Arith.CommRing.DiseqCnstr" ]
false
CategoryTheory.Functor.Monoidal.tensorObj_map
Mathlib.CategoryTheory.Monoidal.Cartesian.FunctorCategory
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.F...
true
Algebra.IsStandardSmoothOfRelativeDimension.localization_away
Mathlib.RingTheory.Smooth.StandardSmooth
[ "CommRing", "CommSemiring.toSemiring", "Algebra.SubmersivePresentation.localizationAway", "Algebra.SubmersivePresentation.toPreSubmersivePresentation", "Finite", "IsLocalization.Away", "Algebra", "Exists", "Algebra.PreSubmersivePresentation.toPresentation", "inferInstance", "instOfNatNat", "Fi...
true
PresentedAddMonoid.mk.eq_1
Mathlib.Algebra.PresentedMonoid.Basic
[ "addConGen", "AddMonoid.toAddZeroClass", "PresentedAddMonoid.mk", "FreeAddMonoid.instAddCancelMonoid", "AddCancelMonoid.toAddRightCancelMonoid", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "PresentedAddMonoid", "ZeroHom.mk", "Quotient.mk", "AddZero.toZero", "AddCon.toSetoid", "AddRightCance...
true