name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
701
allowCompletion
bool
2 classes
Option.filter_some_neg
Init.Data.Option.Lemmas
[ "Eq.mpr", "congrArg", "Option.some", "id", "instDecidableEqBool", "Bool.true", "Option.none", "Option.filter", "Bool.not_eq_true", "Bool", "Eq.refl", "Bool.false", "Eq", "if_neg", "Not", "Option", "Option.filter_some", "ite" ]
true
Cardinal.mk_finset_of_infinite
Mathlib.SetTheory.Cardinal.Arithmetic
[ "Cardinal.mk_le_of_surjective", "Trans.trans", "Cardinal", "Finset", "Classical.propDecidable", "Cardinal.mk", "Cardinal.mk_list_eq_mk", "List.toFinset_surjective", "LE.le", "List.toFinset", "Cardinal.instLE", "le_antisymm", "List", "Cardinal.partialOrder", "Finset.singleton_inj", "Iff...
true
LieSubalgebra.equivOfLe_apply
Mathlib.Algebra.Lie.Subalgebra
[ "LieHom", "LieSubalgebra.lieAlgebra", "LieSubalgebra.ofLe", "LieSubalgebra.instPartialOrder_1", "CommRing", "LieSubalgebra.instSetLike", "LieHom.mem_range_self", "LieEquiv", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Subtype", "LieSubalgebra.lieRing", "LE.le", "Subtyp...
true
liminf_const_sub
Mathlib.Topology.Algebra.Order.LiminfLimsup
[ "Filter.limsSup", "OrderTopology", "Filter.liminf", "Antitone.map_limsSup_of_continuousAt", "Filter.map", "Filter.NeBot", "PartialOrder.toPreorder", "HSub.hSub", "AddLeftMono", "Preorder.toLE", "Filter.IsCoboundedUnder", "OrderedSub", "LE.le", "ConditionallyCompleteLinearOrder.toConditiona...
true
Lean.Grind.CommRing.SPolResult.noConfusion
Lean.Meta.Sym.Arith.Poly
[ "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.SPolResult.noConfusionType", "Int", "Lean.Grind.CommRing.SPolResult", "Eq.ndrec", "Eq.refl", "Lean.Grind.CommRing.SPolResult.casesOn", "Eq", "Lean.Grind.CommRing.Mon" ]
false
Lean.Server.FileWorker.findGoalsAt?
Lean.Server.FileWorker.RequestHandling
[ "Pure.pure", "Lean.Syntax.Range", "Lean.Elab.InfoTree.goalsAt?", "Lean.FileMap.rangeContainsHoverPos", "Lean.Language.SnapshotTree.foldSnaps", "Lean.Syntax.Range.mk", "_private.Lean.Server.FileWorker.RequestHandling.0.Lean.Server.FileWorker.findGoalsAt?.match_3", "Lean.Language.SnapshotTask.task", "...
true
FreeGroup.Red.Step.recOn
Mathlib.GroupTheory.FreeGroup.Basic
[ "FreeGroup.Red.Step", "Bool.not", "FreeGroup.Red.Step.not", "Prod.mk", "List.cons", "instHAppendOfAppend", "List", "Bool", "FreeGroup.Red.Step.rec", "List.instAppend", "Prod", "HAppend.hAppend" ]
false
Cardinal.ofENat_lt_nat
Mathlib.SetTheory.Cardinal.ENat
[ "Eq.mpr", "Preorder.toLT", "ENat.instNatCast", "Cardinal", "congrArg", "Iff.rfl", "PartialOrder.toPreorder", "id", "Cardinal.ofENat_lt_ofENat._simp_1", "Nat.cast", "Cardinal.partialOrder", "Iff", "Cardinal.ofENat", "Nat", "ENat", "LT.lt", "instLTENat", "congrFun'", "Eq", "Cardi...
true
CategoryTheory.LiftRightAdjoint.constructRightAdjointEquiv._proof_1
Mathlib.CategoryTheory.Adjunction.Lifting.Right
[ "Eq.mpr", "CategoryTheory.Functor", "Equiv.apply_symm_apply", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Adjunction.homEquiv_unit", "Function.Injective.eq_iff", "CategoryTheory.Functor.comp", "CategoryTheory.Adjunction.unit", "Cat...
false
_private.Init.Data.Array.Subarray.0.Subarray.findSomeRevM?._proof_1
Init.Data.Array.Subarray
[ "Subarray", "Nat.le_refl", "LE.le", "instLENat", "Std.Slice.Internal.SubarrayData", "Nat", "Std.Slice.size", "Subarray.instSliceSizeSubarrayData" ]
false
AddSubmonoid.op_bot
Mathlib.Algebra.Group.Submonoid.MulOpposite
[ "AddSubmonoid.instCompleteLattice", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "AddOpposite", "AddSubmonoid", "AddSubmonoid.op", "Bot.bot", "AddZeroClass", "BoundedOrder.toOrderBot", "AddSubmonoid.opEquiv", "AddSubmonoid.instBot", "Eq", "OrderIso.map_bot"...
true
Set.preimage_diff
Mathlib.Data.Set.Image
[ "SDiff.sdiff", "Set.preimage", "Set.preimage_sdiff", "Eq", "Set.instSDiff", "Set" ]
true
_private.Mathlib.Topology.Algebra.Valued.LocallyCompact.0.Valued.integer.locallyFiniteOrder_units_mrange_of_isCompact_integer._simp_1_2
Mathlib.Topology.Algebra.Valued.LocallyCompact
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "InvOneClass.toOne", "DivisionCommMonoid.toDivisionMonoid", "Subring.instSetLike", "DivInvOneMonoid.toInvOneClass", "Ring.toNonAssocRing", "PartialOrder.toPreorder", "LinearOrderedCommMonoidWithZero.toLinearOrder", "Preorder.toLE", ...
false
Module.instAEval
Mathlib.Algebra.Polynomial.Module.AEval
[ "Module.instAEval._proof_7", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "Module.instAddCommMonoidAEval", "AddMonoid.toAddZeroClass", "Module.AEval", "Algebra", "Module.mk", "Module.instAEval._proof_3", "Algebra.toSMul", "AddZeroClass.toAddZero", "Module.ins...
true
AlgebraicGeometry.IsAffineOpen.appBasicOpenIsoAwayMap._proof_2
Mathlib.AlgebraicGeometry.AffineScheme
[ "Eq.mpr", "CategoryTheory.Category.assoc", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "CategoryTheory.eqToHom_map_comp", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.IsAffineOpen.app_basicOpen_eq_away_map._proof_1"...
false
_private.Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension.0.IsOpen.exists_contDiff_support_eq._simp_1_9
Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
[ "Set.mem_iUnion", "Membership.mem", "Exists", "propext", "Eq", "Set.instMembership", "Set.iUnion", "Set" ]
false
AlgebraicGeometry.Proj.SpecMap_awayMap_awayι_assoc
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic
[ "GradedRing.toGradedMonoid", "SetLike", "CategoryTheory.Category.assoc", "AlgebraicGeometry.Spec", "CommRing", "AlgebraicGeometry.Scheme", "HMul.hMul", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AddGroupWithOne.toAddGroup", "HomogeneousLocalization.awayMap", "congrArg", "CommSe...
true
_private.Mathlib.Probability.Distributions.Gaussian.Real.0.ProbabilityTheory.integrable_gaussianPDFReal._simp_1_10
Mathlib.Probability.Distributions.Gaussian.Real
[ "False", "eq_false", "instOfNatNat", "Nat", "Zero.toOfNat0", "three_ne_zero", "NeZero", "OfNat.ofNat", "Eq", "OfNat", "Zero" ]
false
Lex.instSemifield._proof_3
Mathlib.Algebra.Field.Basic
[ "Semigroup.toMul", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "Lex.instCommSemiring", "CommSemiring.toSemiring", "Lex", "DivInvMonoid.toZPow", "DivisionSemiring.toGroupWithZero", "Semifield", "Int", "Semifield.zpow_succ'", "Nat.cast", "autoParam", "Semifield.toDivisionSemiring", "HPow....
false
Lean.Lsp.TextEdit.annotationId?._default
Lean.Data.Lsp.Basic
[ "String", "id", "Option.none", "Option" ]
false
SetLike.instSMulCommClassSubtypeMem_1
Mathlib.GroupTheory.GroupAction.SubMulAction
[ "SetLike", "Monoid", "instHSMul", "instSMulOfMul", "Monoid.toMulOneClass", "IsScalarTower", "SMul", "SMulMemClass", "Membership.mem", "MulOne.toMul", "Subtype", "IsScalarTower.left", "MulOneClass.toMulOne", "SetLike.smul'", "MulAction", "Monoid.toSemigroup", "HSMul.hSMul", "Semigro...
true
_private.Lean.Linter.UnusedVariables.0.Lean.Linter.UnusedVariables.collectReferences._sparseCasesOn_23
Lean.Linter.UnusedVariables
[ "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
SupHom.coe_bot
Mathlib.Order.Hom.Lattice
[ "SupHom.instFunLike", "SemilatticeSup.toMax", "Max", "Pi.instBotForall", "Bot.bot", "Bot", "SupHom.instBot", "SupHom", "Eq", "SemilatticeSup", "DFunLike.coe", "rfl" ]
true
Associates.dvdNotUnit_iff_lt
Mathlib.Algebra.GroupWithZero.Associated
[ "CommMonoidWithZero.toCommMonoid", "Preorder.toLT", "Dvd.dvd", "MulZeroClass.toMul", "semigroupDvd", "dvd_and_not_dvd_iff", "SemigroupWithZero.toSemigroup", "CommMonoidWithZero.toMonoidWithZero", "IsCancelMulZero", "DvdNotUnit", "MonoidWithZero.toSemigroupWithZero", "And", "Iff", "MonoidWi...
true
DualNumber.«term_[ε]»
Mathlib.Algebra.DualNumber
[ "Lean.ParserDescr.trailingNode", "instOfNatNat", "Nat", "Lean.ParserDescr.symbol", "Lean.Name.mkStr2", "OfNat.ofNat", "Lean.TrailingParserDescr" ]
true
_private.Mathlib.MeasureTheory.Measure.Sub.0.MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrict._simp_1_1
Mathlib.MeasureTheory.Measure.Sub
[ "LE.le", "OrderTop", "LE", "OrderTop.toTop", "le_top", "True", "eq_true", "Top.top", "Eq" ]
false
Vector.mapFinIdx_eq_ofFn._proof_1
Init.Data.Vector.MapIdx
[ "Std.IsLinearPreorder.toIsPreorder", "Std.instReflLeOfIsPreorder", "Std.le_refl._simp_1", "LE.le", "instLENat", "Fin.val", "Nat", "LT.lt", "Fin.val_lt_of_le", "of_eq_true", "instLTNat", "Fin", "Nat.instIsLinearOrder", "Std.IsLinearOrder.toIsLinearPreorder" ]
false
CoheytingHom.cancel_right._simp_1
Mathlib.Order.Heyting.Hom
[ "CoheytingHom.comp", "CoheytingHom", "CoheytingAlgebra", "CoheytingHom.cancel_right", "CoheytingHom.instFunLike", "propext", "Eq", "DFunLike.coe", "Function.Surjective" ]
false
_private.Mathlib.AlgebraicTopology.SimplexCategory.Basic.0.SimplexCategory.mkOfSucc_subinterval_eq.match_1_1
Mathlib.AlgebraicTopology.SimplexCategory.Basic
[ "Unit.unit", "False", "Fin.casesOn", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Fin.mk", "Fin.instOfNat", "instOfNatNat", "Nat.le.step", "instHAdd", "Unit", "HAdd.hAdd", "Nat.le", "Nat.instNeZeroSucc", "Nat", "LT.lt", "Eq.ndrec", "Nat.ctorIdx", "instAddNat", "Nat.zero",...
false
Std.Sat.AIG.RefVec.get
Std.Sat.AIG.RefVec
[ "Std.Sat.AIG.Decl", "Std.Sat.AIG.Fanin.gate", "Std.Sat.AIG.Ref.mk", "Vector", "Vector.instGetElemNatLt", "Std.Sat.AIG.Fanin.invert", "Std.Sat.AIG.Ref", "GetElem.getElem", "Std.Sat.AIG", "Nat", "LT.lt", "Hashable", "instLTNat", "Std.Sat.AIG.RefVec", "Std.Sat.AIG.Fanin", "Array.size", ...
true
CategoryTheory.Limits.ColimitPresentation.ctorIdx
Mathlib.CategoryTheory.Limits.Presentation
[ "Nat", "CategoryTheory.Limits.ColimitPresentation", "CategoryTheory.Category" ]
false
_private.Init.Data.Array.Lemmas.0.Array.all_eq'._simp_1_1
Init.Data.Array.Lemmas
[ "Array.all", "Array.all_eq_true'", "Array.instMembership", "Membership.mem", "instOfNatNat", "Array", "Bool.true", "Nat", "propext", "Bool", "OfNat.ofNat", "Eq", "Array.size" ]
false
_private.Mathlib.RingTheory.Flat.Basic.0.IsReduced.tensorProduct_of_flat_of_forall_fg._simp_1_1
Mathlib.RingTheory.Flat.Basic
[ "Pow", "isReduced_iff", "Nat", "propext", "Zero.toOfNat0", "OfNat.ofNat", "IsNilpotent", "Eq", "IsReduced", "Zero" ]
false
_private.Mathlib.RingTheory.Support.0.Module.mem_support_iff_of_span_eq_top._simp_1_4
Mathlib.RingTheory.Support
[ "Submodule", "CommRing", "instHSMul", "Semiring.toModule", "IsScalarTower.right", "LocalizedModule", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "LocalizedModule.mem_ker_mkLinearMap_iff", "AddMonoid.toAddZeroClass", "LinearMap.ker", "Membership.mem", "Exists", "AddZeroClas...
false
Vector.getElem_attach
Init.Data.Vector.Attach
[ "Vector.instMembership", "Vector.attach", "Vector", "Vector.instGetElemNatLt", "Membership.mem", "Subtype", "Subtype.mk", "GetElem.getElem", "Nat", "LT.lt", "Vector.getElem_mem", "Vector.getElem_attachWith", "instLTNat", "Eq", "Vector.attach._proof_1" ]
true
ZeroHom.instSMulZeroClass
Mathlib.Algebra.GroupWithZero.Action.Hom
[ "ZeroHom.funLike", "instHSMul", "SMulZeroClass", "SMul.mk", "SMulZeroClass.mk", "ZeroHom.mk", "ZeroHom.instSMulZeroClass._proof_2", "ZeroHom", "HSMul.hSMul", "SMulZeroClass.toSMul", "instZeroZeroHom", "DFunLike.coe", "Zero", "ZeroHom.instSMulZeroClass._proof_1" ]
true
GrpCat.FilteredColimits.colimitCocone
Mathlib.Algebra.Category.Grp.FilteredColimits
[ "GrpCat.instConcreteCategoryMonoidHomCarrier", "GrpCat.hasForgetToMonCat", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "GrpCat", "MonoidHom.instFunLike", "MonoidHom", "GrpCat.str", "Monoid.toMulOneClass", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "MonCat.H...
true
even_add_two._simp_1
Mathlib.Algebra.Ring.Parity
[ "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "instOfNatNat", "instDistribOfSemiring", "instHAdd", "HAdd.hAdd", "Nat.instNeZeroSucc", "Nat", "Even", "even_add_two", "propext", "OfNat.ofNat", "Ring.toSemiring", "Eq", ...
false
CategoryTheory.Functor.homEquivOfIsRightKanExtension_apply_app
Mathlib.CategoryTheory.Functor.KanExtension.Basic
[ "CategoryTheory.Functor", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "Equiv", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Functor.IsRightKanExtension", "CategoryTheory.Categ...
true
DifferentiableOn.csinh
Mathlib.Analysis.SpecialFunctions.Trigonometric.DerivHyp
[ "NormedCommRing.toSeminormedCommRing", "Complex.sinh", "Semiring.toModule", "NormedSpace", "NormedSpace.toModule", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "Complex.instDenselyNormedField", "Field.toSemifield", "Complex.addCommGrou...
true
Mathlib.Tactic.TFAE.proveTFAE
Mathlib.Tactic.TFAE
[ "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MetavarKind.natural", "ReaderT", "instMonadControlTOfPure", "String", "Lean.Meta.State", "Lean.Expr.const", "Lean.instAddErrorMessageContextOfAddMessageContextOfMonad", "instMonadLiftT", ...
true
_private.Mathlib.RingTheory.WittVector.InitTail.0.WittVector.select_add_select_not._simp_1_1
Mathlib.RingTheory.WittVector.InitTail
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "WittVector.select", "MvPolynomial.aeval", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "Algebra.id", "Int", "WittVector.selectPoly", "Comm...
false
MeasureTheory.Measure.map_comp
Mathlib.Probability.Kernel.Composition.MeasureComp
[ "MeasureTheory.Measure.bind_apply", "Eq.mpr", "MeasureTheory.Measure", "MeasurableSet", "congrArg", "ProbabilityTheory.Kernel.map_apply'", "MeasureTheory.Measure.map_apply", "ProbabilityTheory.Kernel.map", "Measurable", "ProbabilityTheory.Kernel.instFunLike", "ProbabilityTheory.Kernel.aemeasurab...
true
Set.mem_pi
Mathlib.Data.Set.Operations
[ "Iff.rfl", "Membership.mem", "Iff", "Set.pi", "Set.instMembership", "Set" ]
true
OmegaCompletePartialOrder.instPartialOrderContinuousHom._proof_1
Mathlib.Order.OmegaCompletePartialOrder
[ "OrderHom.casesOn", "OmegaCompletePartialOrder.ContinuousHom.mk", "PartialOrder.toPreorder", "Monotone", "OrderHom.toFun", "Eq.rec", "OmegaCompletePartialOrder.ContinuousHom", "OmegaCompletePartialOrder", "OmegaCompletePartialOrder.Chain", "OmegaCompletePartialOrder.toPartialOrder", "Eq.ndrec", ...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getKeyD_modify_self._simp_1_3
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Membership.mem", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "propext", "Bool", "Std.DTreeMap.Internal.Impl.mem_iff_contains", "Eq", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.instMembershipOfOrd" ]
false
LieRinehartAlgebra.rec
Mathlib.Algebra.LieRinehartAlgebra.Defs
[ "LieAlgebra.toModule", "CommRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddMonoid.toAddZeroClass", "Algebra", "AddCommGroup.toAddGroup", "Algebra.toSMul", "AddZeroClass.toAddZero", "Algebra.to...
false
CategoryTheory.ModObj.mul_smul
Mathlib.CategoryTheory.Monoidal.Mod
[ "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionAssocIso", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionOb...
true
Std.Do.ExceptConds.imp_elim
Std.Do.PostCond
[ "Std.Do.SPred.entails", "Std.Do.PostShape.rec", "Std.Do.PostShape.except", "congrArg", "and_self", "Std.Do.Assertion", "Std.Do.PostShape.arg", "id", "Std.Do.PostShape", "Std.Do.PostShape.pure", "Std.Do.ExceptConds.imp", "Std.Do.ExceptConds.entails", "Prod.fst", "Std.Do.ExceptConds.and", ...
true
CategoryTheory.ShortComplex.comp_τ₃_assoc
Mathlib.Algebra.Homology.ShortComplex.Basic
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.instCategory", "Eq.mp", "id", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.ShortComp...
true
ContinuousMap.compStarAlgHom'._proof_6
Mathlib.Topology.ContinuousMap.Star
[ "ContinuousStar", "ContinuousMap", "ContinuousMap.comp", "TopologicalSpace", "Star", "ContinuousMap.instStar", "Eq", "rfl", "Star.star" ]
false
Finset.sym_inter
Mathlib.Data.Finset.Sym
[ "_private.Mathlib.Data.Finset.Sym.0.Finset.sym_inter._simp_1_2", "congrArg", "Finset", "Finset.ext", "Membership.mem", "Inter.inter", "iff_self", "Finset.instInter", "And", "Iff", "_private.Mathlib.Data.Finset.Sym.0.Finset.sym_inter._simp_1_3", "Finset.instSetLike", "_private.Mathlib.Data.Fi...
true
RingHom.codomain_trivial
Mathlib.Algebra.Ring.Hom.Defs
[ "Nontrivial", "Iff.mpr", "RingHom", "not_nontrivial_iff_subsingleton", "subsingleton_or_nontrivial", "NonAssocSemiring", "Subsingleton", "RingHom.domain_nontrivial", "Or.resolve_right", "Not" ]
true
IsLocalization.cardinalMk
Mathlib.RingTheory.Localization.Cardinality
[ "CommRing", "IsLocalization.lift_cardinalMk", "IsLocalization", "Cardinal", "congrArg", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Cardinal.lift", "Algebra", "Preorder.toLE", "Cardinal.mk", "nonZeroDivisors", "Eq.mp", "LE.le", "MulZeroOneClass.toMulOneClass", "instMulZeroOn...
true
CategoryTheory.ShortComplex.Exact.exact_up_to_refinements
Mathlib.CategoryTheory.Abelian.Refinements
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.Abelian", "Exists", "Eq.mp", "CategoryTheory.Limits.HasZeroMorphisms.zero", "Catego...
true
Subalgebra.LinearDisjoint.isDomain_of_injective
Mathlib.RingTheory.LinearDisjoint
[ "Subalgebra.instSetLike", "IsDomain", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Algebra", "Subalgebra.instModuleSubtypeMem._proof_1", "Algebra.toSMul", "Membership.mem", "Algebra.toModule", "Algebra.id", "Subtype", "AlgEquiv.toMulEquiv", "Algebra.TensorProduct.leftAlgebra", ...
true
Lean.PrettyPrinter.delabCore
Lean.PrettyPrinter.Delaborator.Basic
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.instantiateMVars", "Lean.MonadError.mk", "Unit.unit", "Option.instBEq", "Lean.instMonadExceptOfExceptionCoreM", "Lean.Options.getInPattern", "Lean.Syntax.missing", "Lean.Meta.erasePatternRefAnnotations", "Bool.not", "_private.Lean.PrettyPrint...
true
Int.shiftLeft_shiftRight_eq
Init.Data.Int.Bitwise.Lemmas
[ "Int.instHShiftRightNat", "Int.shiftLeft_shiftRight_eq_shiftRight_of_le", "Int.shiftRight_zero", "Int.shiftLeft_zero", "congrArg", "Int.instHShiftLeftNat", "HSub.hSub", "HShiftLeft.hShiftLeft", "instSubNat", "instOfNatNat", "Int", "LE.le", "instLENat", "Or.casesOn", "instHSub", "Nat.le...
true
Std.ExtTreeMap.contains_insertIfNew_self
Std.Data.ExtTreeMap.Lemmas
[ "Ordering", "Std.TransCmp", "Std.ExtDTreeMap.contains_insertIfNew_self", "Bool.true", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Bool", "Std.ExtTreeMap.insertIfNew", "Std.ExtTreeMap.contains", "Eq" ]
true
SimpleGraph.IsPathGraph3Compl.pathGraph3ComplEmbedding.match_1
Mathlib.Combinatorics.SimpleGraph.CompleteMultipartite
[ "Unit.unit", "False", "Fin.casesOn", "HEq.refl", "False.elim", "noConfusion_of_Nat", "Fin.mk", "Fin.instOfNat", "instOfNatNat", "Nat.le.step", "instHAdd", "Unit", "HAdd.hAdd", "Nat.le", "Nat.instNeZeroSucc", "Nat", "LT.lt", "Eq.ndrec", "Nat.ctorIdx", "instAddNat", "Nat.zero",...
false
FreeAddMagma.map_of
Mathlib.Algebra.Free
[ "AddHom", "FreeAddMagma.of", "AddHom.funLike", "FreeAddMagma.instAdd", "FreeAddMagma.map", "Eq", "DFunLike.coe", "FreeAddMagma", "rfl" ]
true
Prod.swap_le_swap
Mathlib.Order.Basic
[ "Prod.instLE_mathlib", "LE.le", "and_comm", "Prod.fst", "LE", "Iff", "Prod.swap", "Prod", "Prod.snd" ]
true
CategoryTheory.Limits.limitIsoFlipCompLim._proof_2
Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
[ "Eq.mpr", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Limits.lim_map", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.HasLimitsOfShape", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Limi...
false
SSet.Homotopy.toSimplicialObjectHomotopy._proof_12
Mathlib.AlgebraicTopology.SimplicialSet.Homotopy
[ "SSet.yonedaEquiv", "SSet.Subcomplex.toSSet", "Eq.mpr", "Lattice.toSemilatticeSup", "SSet.RelativeMorphism", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.typesCartesianMonoidalCategory", "Quiver.Hom", "CompleteLattice.toLattice", "Fin.succ", "c...
false
UniformSpace.Completion.toComplL
Mathlib.Analysis.Normed.Module.Completion
[ "SeminormedAddCommGroup", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "AddZeroClass.toAddZero", "UniformSpace.Completion.instModule", "DistribSMul.toSMulZeroClass", "ContinuousLinearMap...
true
fourierLp._proof_2
Mathlib.Analysis.Fourier.AddCircle
[ "Complex.instNormedAddCommGroup", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "SeminormedAddCommGroup.toPseudoMetricSpace", "SeminormedAddCommGroup.toAddCommGroup", "Complex", "SeminormedAddCommGroup.toIsTopologicalAddGroup", "NormedAddCommGroup.toSeminormedAddCommGroup", "Uniform...
false
CategoryTheory.Limits.CoproductsFromFiniteFiltered.isColimitFiniteSubproductsCocone._proof_2
Mathlib.CategoryTheory.Limits.Constructions.Filtered
[ "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Limits.HasColimitsOfShape", "Finset", "PartialOrder.toPreorder", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.HasFiniteCoproducts", "Preorder.smallCategory", "CategoryTheory.Limits.CoproductsFromFiniteFiltered.liftToF...
false
Lean.Expr.getAppFn'._unsafe_rec
Lean.Expr
[ "Lean.Expr.getAppFn'._unsafe_rec", "Lean.Expr", "Lean.MData", "_private.Lean.Expr.0.Lean.Expr.getAppFn'.match_1" ]
false
Std.TreeSet.diff
Std.Data.TreeSet.Basic
[ "Std.TreeSet", "Std.TreeMap.diff", "Ordering", "Std.TreeSet.inner", "Std.TreeSet.mk", "Unit" ]
true
OrderDual.instAddMonoid.eq_1
Mathlib.Algebra.Order.Group.Synonym
[ "OrderDual.instAddMonoid._proof_4", "NSMul.ofSMul", "OrderDual.instSMul", "AddMonoid.toAddSemigroup", "AddMonoid.toAddZeroClass", "AddMonoid.toNSMul", "AddMonoid.mk", "AddZeroClass.toAddZero", "OrderDual.instAddSemigroup", "AddZero.toZero", "OrderDual.instZero", "NSMul.toSMul", "OrderDual.in...
true
_private.Mathlib.RingTheory.Coalgebra.TensorProduct.0.Coalgebra._aux_Mathlib_RingTheory_Coalgebra_TensorProduct___unexpand_TensorProduct_map_1
Mathlib.RingTheory.Coalgebra.TensorProduct
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Syntax.atom", "Lean.TSyntax.mk...
false
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", "PartialHomeomorph.toPartialEquiv", "PseudoMetricSpace.toUniformSpace", "NormedField.toField", "id", "OpenPartialHomeomorph...
true
Lean.Lsp.RefInfo._sizeOf_1
Lean.Data.Lsp.Internal
[ "Option._sizeOf_inst", "instOfNatNat", "Array._sizeOf_inst", "Array", "instHAdd", "Lean.Lsp.RefInfo.Location", "Lean.Lsp.RefInfo", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Lean.Lsp.RefInfo.rec", "instAddNat", "OfNat.ofNat", "Lean.Lsp.RefInfo.Location._sizeOf_inst", "Option" ]
false
Set.pairwise_disjoint_Ioc_add_intCast
Mathlib.Algebra.Order.Interval.Set.Group
[ "Int.cast", "Set.Ioc", "instHSMul", "AddMonoid.toAddSemigroup", "_private.Mathlib.Algebra.Order.Interval.Set.Group.0.Set.pairwise_disjoint_Ioc_add_intCast._simp_1_1", "Function.onFun", "IsOrderedRing", "AddGroupWithOne.toAddGroup", "congrArg", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder...
true
Std.Tactic.BVDecide.LRAT.Internal.DefaultClause.contains.eq_1
Std.Tactic.BVDecide.LRAT.Internal.Clause
[ "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause.clause", "List.contains", "instDecidableEqBool", "instBEqOfDecidableEq", "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause.contains", "instBEqProd", "Nat", "Bool", "Eq.refl", "Std.Tactic.BVDecide.LRAT.Internal.instDecidableEqPosFin", "Std.Tactic.BV...
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
max_le
Mathlib.Order.Defs.LinearOrder
[ "Eq.mpr", "congrArg", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "LinearOrder.toDecidableLE", "id", "max_def'", "LE.le", "if_pos", "dite", "LinearOrder.toMax", "Max.max", "LinearOrder.toPartialOrder", "Eq", "if_neg", "Not", "ite" ]
true
_private.Mathlib.MeasureTheory.Covering.Besicovitch.0.Besicovitch.exists_closedBall_covering_tsum_measure_le._simp_1_7
Mathlib.MeasureTheory.Covering.Besicovitch
[ "Set.mem_iUnion", "Membership.mem", "Exists", "propext", "Eq", "Set.instMembership", "Set.iUnion", "Set" ]
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr.0.Std.Tactic.BVDecide.BVExpr.bitblast.go.match_15.eq_2
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Expr
[ "Std.Tactic.BVDecide.BVUnOp.clz", "Std.Tactic.BVDecide.BVUnOp", "Std.Tactic.BVDecide.BVUnOp.cpop", "Std.Tactic.BVDecide.BVUnOp.not", "Std.Tactic.BVDecide.BVUnOp.rotateLeft", "Unit", "Nat", "Std.Tactic.BVDecide.BVUnOp.reverse", "Eq.refl", "Std.Tactic.BVDecide.BVUnOp.arithShiftRightConst", "Std.Ta...
true
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
_private.Mathlib.Probability.Distributions.SetBernoulli.0.ProbabilityTheory.setBernoulli_ae_subset._simp_1_1
Mathlib.Probability.Distributions.SetBernoulli
[ "Filter.instMembership", "MeasureTheory.ae", "Compl.compl", "Membership.mem", "Set.instCompl", "ENNReal", "propext", "Zero.toOfNat0", "MeasureTheory.mem_ae_iff", "ENNReal.instZero", "MeasureTheory.OuterMeasureClass", "OfNat.ofNat", "Eq", "DFunLike.coe", "Filter", "FunLike", "Set" ]
false
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
_private.Init.Data.List.Attach.0.List.mem_unattach._simp_1_3
Init.Data.List.Attach
[ "Exists", "Subtype.exists", "Subtype", "Subtype.mk", "propext", "Eq" ]
false
Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof.solveElim
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "Lean.Meta.Grind.Arith.Cutsat.DvdCnstr", "Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof", "Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof.solveElim" ]
true
WithVal.instModule._proof_5
Mathlib.Topology.Algebra.Valued.WithVal
[ "WithVal.instSMul_1", "WithVal.instModule._proof_1", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Module.compHom._proof_1", "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Distrib.toAdd", "DistribSMul.toSMulZeroClass", ...
false
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
CategoryTheory.ComposableArrows.δ₀
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.ComposableArrows", "Preorder.smallCategory", "instOfNatNat", "instHAdd", "Fin.instPartialOrder", "HAdd.hAdd", "Nat", "CategoryTheory.ComposableArrows.δ₀Functor", "instAddNat", "OfNat.ofNat", "Fin", "CategoryTheor...
true
_private.Std.Http.Protocol.H1.0.Std.Http.Protocol.H1.Machine.responseMustNotHaveBody
Std.Http.Protocol.H1
[ "instOfNatNat", "Std.Http.Status", "LE.le", "instLENat", "And", "Nat", "LT.lt", "Bool", "Nat.decLt", "UInt16.toNat", "instDecidableEqNat", "Or", "instLTNat", "Std.Http.Status.toCode", "instDecidableAnd", "OfNat.ofNat", "Decidable.decide", "Eq", "instDecidableOr", "Nat.decLe" ]
true
CliffordAlgebra.even.lift._proof_1
Mathlib.LinearAlgebra.CliffordAlgebra.Even
[ "Subalgebra.instSetLike", "CliffordAlgebra.even.lift.aux_mul", "CommRing", "CliffordAlgebra.EvenHom", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "CliffordAlgebra.EvenHom.compr₂", "AlgHom", "instAlgebraCliffordAlgebra", "AlgHom.ofLinearMap", "QuadraticForm", ...
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
CategoryTheory.Limits.isLimitConeRightOpOfCocone._proof_2
Mathlib.CategoryTheory.Limits.Opposites
[ "Eq.mpr", "CategoryTheory.Limits.IsColimit.fac", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cone", "Opposite", "CategoryTheory.Limits.IsColimit.hom_ext", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom...
false