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stringlengths
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bool
2 classes
_private.Batteries.Data.Fin.Lemmas.0.Fin.findSome?_eq_some_iff._simp_1_1
Batteries.Data.Fin.Lemmas
[ "instOfNatNat", "Nat", "True", "propext", "Fin.forall_fin_zero", "OfNat.ofNat", "Fin", "Eq" ]
false
PUnit.instLinearOrderedAddCommMonoidWithTop._proof_3
Mathlib.Algebra.Order.PUnit
[ "le_rfl", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "LE.le", "PUnit", "PUnit.instLinearOrder", "instDistribLatticeOfLinearOrder", "Lattice.toSemilatticeInf" ]
false
Lean.Meta.DiscrTree.getSubexpressionMatches._unsafe_rec
Mathlib.Lean.Meta.DiscrTree
[ "Pure.pure", "Lean.Meta.lambdaLetTelescope", "Array.instAppend", "Lean.Expr.foldlM", "Array.reverse", "Lean.Meta.forallTelescope", "instMonadControlTOfPure", "Lean.Meta.State", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "instOfNatNat", "Applicative.toPure", "List.toArray", "Array", ...
false
_aux_Mathlib_Algebra_Group_Units_Defs___unexpand_Units_1
Mathlib.Algebra.Group.Units.Defs
[ "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
_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg._unsafe_rec
Lean.Elab.PatternVar
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "StateRefT'.instAlternativeOfMonad", "Lean.Elab.Term.CollectPatternVars.Context.explicit", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.Term.CollectPatternVars.State", "Lean.SourceInfo"...
false
_private.Lean.Meta.Tactic.Cbv.Main.0.Lean.Meta.Tactic.Cbv.cbvDecideGoal.match_3
Lean.Meta.Tactic.Cbv.Main
[ "Unit.unit", "Except.ok", "Except.error", "PUnit.casesOn", "Unit", "PUnit.unit", "Except.casesOn", "Except", "Lean.Exception" ]
false
_private.Mathlib.LinearAlgebra.Eigenspace.Basic.0.Module.End.genEigenspace_nat._simp_1_1
Mathlib.LinearAlgebra.Eigenspace.Basic
[ "Submodule", "CommRing", "instHSMul", "Module.End.instMonoid", "ENat.instNatCast", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "LinearMap.ker", "HSub.hSub", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommGrou...
false
IsAddUnit.of_add_eq_zero_right
Mathlib.Algebra.Group.Units.Defs
[ "AddMonoid.toAddZeroClass", "IsDedekindFiniteAddMonoid.add_eq_zero_symm", "AddZeroClass.toAddZero", "IsAddUnit", "IsAddUnit.of_add_eq_zero", "AddZero.toZero", "instHAdd", "HAdd.hAdd", "AddMonoid", "AddZero.toAdd", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "IsDedekindFiniteAddMonoid" ]
true
MeasureTheory.VectorMeasure.dirac._proof_2
Mathlib.MeasureTheory.VectorMeasure.Basic
[ "False", "MeasurableSet", "eq_false", "congrArg", "AddMonoid.toAddZeroClass", "false_and", "Classical.propDecidable", "Membership.mem", "AddZeroClass.toAddZero", "AddCommMonoid", "MeasurableSpace", "AddZero.toZero", "And", "True", "eq_self", "of_eq_true", "Zero.toOfNat0", "Eq.refl"...
false
_private.Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity.0.ChevalleyThm.PolynomialC.induction_aux._simp_1_9
Mathlib.RingTheory.Spectrum.Prime.ChevalleyComplexity
[ "instHSMul", "SMul", "Set.smul_set_range", "HSMul.hSMul", "Set.range", "Eq.symm", "Eq", "Set.smulSet", "Set" ]
false
UniqueFactorizationMonoid.radical_ne_zero._simp_1
Mathlib.RingTheory.Radical.Basic
[ "Nontrivial", "False", "eq_false", "UniqueFactorizationMonoid.radical_ne_zero", "NormalizationMonoid", "UniqueFactorizationMonoid", "CommMonoidWithZero.toMonoidWithZero", "UniqueFactorizationMonoid.radical", "MonoidWithZero.toMulZeroOneClass", "CommMonoidWithZero", "Zero.toOfNat0", "MulZeroOne...
false
DirectSum.IsInternal.exists_subordinateOrthonormalBasisIndex_eq
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NormedCommRing.toNormedRing", "InnerProductSpace.toNormedSpace", "Submodule", "DirectSum.IsInternal.subordinateOrthonormalBasisIndex", "Submodule.addSubmonoidClass", "_private.Mathlib.Analysis.InnerProductSpace.PiL2.0.DirectSum.IsInternal.exists_subordinateOrthonormalBasisIndex_eq._proof_1_1", "DirectS...
true
LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero
Mathlib.Algebra.Order.GroupWithZero.Canonical
[ "LinearOrderedCommGroupWithZero", "LinearOrderedCommMonoidWithZero" ]
true
_private.Mathlib.Tactic.CongrExclamation.0.Congr!.plausiblyEqualTypes.match_5
Mathlib.Tactic.CongrExclamation
[ "Unit.unit", "instOfNatNat", "Unit", "Nat", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
CochainComplex.isKProjective_shift_iff
Mathlib.Algebra.Homology.HomotopyCategory.KProjective
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "HomologicalComplex.instCategory", "CategoryTheory.Functor.category", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.instHasShiftInt", "CategoryThe...
true
Hyperreal.coe_add
Mathlib.Analysis.Real.Hyperreal
[ "Hyperreal.instField", "Real", "Distrib.toAdd", "Field.toSemifield", "instDistribOfSemiring", "Real.instAdd", "instHAdd", "Hyperreal.ofReal", "Semifield.toDivisionSemiring", "HAdd.hAdd", "Hyperreal", "DivisionSemiring.toSemiring", "Eq", "rfl" ]
true
Bundle.Prod.contMDiffVectorBundle
Mathlib.Geometry.Manifold.VectorBundle.Basic
[ "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "Prod.normedSpace", "chartedSpaceSelf", "Prod.normedAddCommGroup", "NormedSpace", "FiberBundle", "ContinuousLinearMap.topologicalSpace", "trivialization_linear", "congrArg", "and_self", "MemTrivializationAtlas.c...
true
CategoryTheory.ProjectiveResolution.liftFOne._proof_3
Mathlib.CategoryTheory.Abelian.Projective.Resolution
[ "CategoryTheory.Abelian.toPreadditive", "Nat.instOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "CategoryTheory.Abelian", "Nat.instAddCancelCommMonoid", "CategoryTheory.ProjectiveResolution", "instOfNatNat", "CategoryTheory.ProjectiveResolution.liftFZero._p...
false
Std.DTreeMap.Raw.Equiv.of_toList_perm
Std.Data.DTreeMap.Raw.Lemmas
[ "Std.DTreeMap.Internal.Impl.Equiv.of_toList_perm", "Ordering", "Std.DTreeMap.Raw.Equiv", "List.Perm", "Std.DTreeMap.Raw.inner", "Std.DTreeMap.Raw.Equiv.mk", "Std.DTreeMap.Raw.toList", "Sigma", "Std.DTreeMap.Raw" ]
true
PEquiv.ofSet_eq_refl._simp_1
Mathlib.Data.PEquiv
[ "PEquiv.ofSet", "Set.univ", "Membership.mem", "PEquiv.refl", "DecidablePred", "propext", "PEquiv", "Eq", "Set.instMembership", "PEquiv.ofSet_eq_refl", "Set" ]
false
_private.Mathlib.NumberTheory.Padics.Hensel.0.newton_seq_aux._proof_1
Mathlib.NumberTheory.Padics.Hensel
[ "Polynomial.derivative", "Norm.norm", "Real", "Nat.Prime", "Semiring.toModule", "_private.Mathlib.NumberTheory.Padics.Hensel.0.ih_gen", "PadicInt", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "LinearMap.instFunLike", "Real.instLT", "Algebra", "Fa...
false
ContDiffMapSupportedIn.seminorm._proof_3
Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
[ "NormedCommRing.toSeminormedCommRing", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "IsBoundedSMul.toUniformContinuousConstSMul"...
false
JordanHolderLattice.rec
Mathlib.Order.JordanHolder
[ "Lattice", "Preorder.toLT", "Lattice.toSemilatticeSup", "JordanHolderLattice.mk", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "Prod.mk", "Ne", "SemilatticeInf.toMin", "Max.max", "JordanHolderLattice", "LT.lt", "Prod", "Eq", "Min.min", "Lattice....
false
descPochhammer
Mathlib.RingTheory.Polynomial.Pochhammer
[ "Nat.brecOn", "Polynomial", "Nat", "descPochhammer._f", "Ring.toSemiring", "Ring" ]
true
Lean.Parser.Tactic.Grind.«grind_filterGen≤_»
Init.Grind.Interactive
[ "Lean.ParserDescr.nonReservedSymbol", "Lean.Name.mkStr5", "instOfNatNat", "Lean.ParserDescr.binary", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "Lean.ParserDescr.const", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr1" ]
true
CategoryTheory.Comonad.Coalgebra.isoMk
Mathlib.CategoryTheory.Monad.Algebra
[ "CategoryTheory.Comonad", "CategoryTheory.Comonad.Coalgebra.a", "CategoryTheory.Comonad.Coalgebra.Hom.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Comonad.Coalgebra.isoMk._proof_2", "CategoryTheory.Iso", "CategoryTheory.Comonad.Coalgebra.isoMk._proof_8", "CategoryTheo...
true
CategoryTheory.AddMon.instCartesianMonoidalCategory.eq_1
Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
[ "CategoryTheory.AddMon.instCartesianMonoidalCategory._proof_7", "CategoryTheory.Limits.IsTerminal.ofUniqueHom", "CategoryTheory.AddMon.instCartesianMonoidalCategory._proof_10", "CategoryTheory.AddMon.instCartesianMonoidalCategory._proof_4", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Catego...
true
Matrix.mul_right_inj_of_invertible
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
[ "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Matrix.mul_right_injective_of_invertible", "CommSemiring.toSemiring", "Matrix.instMulOfFintypeOfAddCommMonoid", "Matrix", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "AddGroupWithOne.toAd...
true
Std.ExtHashSet.size_diff_le_size_left
Std.Data.ExtHashSet.Lemmas
[ "Std.ExtHashMap.size_diff_le_size_left", "Std.ExtHashSet", "LE.le", "instLENat", "Std.ExtHashSet.instSDiffOfEquivBEqOfLawfulHashable", "LawfulHashable", "SDiff.sdiff", "Unit", "EquivBEq", "Nat", "Std.ExtHashSet.inner", "Hashable", "BEq", "Std.ExtHashSet.size" ]
true
ProperConstVAdd.mk._flat_ctor
Mathlib.Topology.Algebra.ProperConstSMul
[ "ProperConstVAdd", "VAdd", "HVAdd.hVAdd", "TopologicalSpace", "ProperConstVAdd.mk", "instHVAdd", "IsProperMap" ]
false
Bundle.Trivialization.coe_linearMapAt
Mathlib.Topology.VectorBundle.Basic
[ "Bundle.Trivialization.toFun'", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Classical.propDecidable", "Bundle.Trivialization.linearMapAt", "Membership.mem", "Bundle.TotalSpace.mk", "AddZeroClass.toAddZero", "Bundle.Trivialization.toPretrivialization.isLinear", "LinearMap", "AddCommMono...
true
ENNReal.instCompleteLinearOrder._aux_26
Mathlib.Data.ENNReal.Basic
[ "Preorder.toLT", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "PartialOrder.toPreorder", "InfSet.mk", "DistribLattice.toLattice", "ENNReal.instCompleteLinearOrder._proof_6", "SupSet.mk", "ENNReal.instCompleteLinearOrder._proof_3", "ENNReal.instCompleteLinearOrder._aux_4", "NNReal", ...
false
Std.Roo.mk.inj
Init.Data.Range.Polymorphic.PRange
[ "And", "Std.Roo.mk.noConfusion", "And.intro", "eq_of_heq", "HEq", "Eq", "Std.Roo", "Std.Roo.mk" ]
true
CategoryTheory.MonoidalCategory.monoidalOfLawfulDayConvolutionMonoidalCategoryStruct._proof_3
Mathlib.CategoryTheory.Monoidal.DayConvolution
[ "CategoryTheory.MonoidalCategory.DayConvolution.convolution", "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct", "Opposite", "Equiv.instEquivLike", "CategoryTheory.coyoneda", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrA...
false
WithLp.instUnitizationNormedAddCommGroup
Mathlib.Analysis.Normed.Algebra.UnitizationL1
[ "NormedCommRing.toNormedRing", "WithLp", "WithLp.instProdNormedAddCommGroup", "NormedRing.toRing", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NonUnitalNonAssocRing.toAddCommGroup", "Unitization.instAddCommGroup", "WithLp.instAddCommGroup", "NonUnitalRing.toNonUnitalNonAssocRing", "WithLp.in...
true
CategoryTheory.Limits.Bicone.ι_π._autoParam
Mathlib.CategoryTheory.Limits.Shapes.Biproducts
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Multiset.Subset.ndinter_eq_left
Mathlib.Data.Multiset.FinsetOps
[ "Eq.mpr", "List.Subset.inter_eq_left", "congrArg", "Multiset.instHasSubset", "Multiset.coe_ndinter", "Multiset", "id", "HasSubset.Subset", "instBEqOfDecidableEq", "Inter.inter", "Quot.induction_on₂", "List", "Multiset.ofList", "List.instInterOfBEq_batteries", "Eq.refl", "List.isSetoid"...
true
_private.Mathlib.Topology.Category.CompHaus.EffectiveEpi.0.CompHaus.effectiveEpiFamily_tfae._simp_1_3
Mathlib.Topology.Category.CompHaus.EffectiveEpi
[ "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Finite", "CategoryTheory.Limits.hasColimitsOfShape_discrete", "CategoryTheory.Discrete.functor", "CategoryTheory.discreteCategory", "CategoryTheory.effectiveEpi_desc_iff_effectiveEpiFamily"...
false
BoundedContinuousFunction.hasNatPow._proof_1
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "Real.instLE", "Real", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "congrArg", "IsTopologicalSemiring.toContinuousMul", "ContinuousMap", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUniformSpace", "SeminormedRing.toRing", "instBoundedMul", "Exists", "Eq....
false
_private.Mathlib.CategoryTheory.Monoidal.Mon.0.CategoryTheory.MonObj.one_associator._simp_1_1
Mathlib.CategoryTheory.Monoidal.Mon
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.Iso.cancel_iso_inv_left", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Category" ]
false
Lean.DefinitionVal.all
Lean.Declaration
[ "List", "Lean.Name", "Lean.DefinitionVal" ]
true
SpecialLinearGroup.coe_div
Mathlib.LinearAlgebra.SpecialLinearGroup
[ "LinearEquiv.det", "CommRing", "MonoidHom.instFunLike", "instHDiv", "MonoidHom", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "SpecialLinearGroup", "Units", "AddCommGroup", "HDiv.hDiv", "DivInvMonoid.toMonoid", "Units.instOne", "Group.toDivInvMonoid"...
true
Lean.Parser.Tactic.MCasesPat
Std.Tactic.Do.Syntax
[ "Lean.Parser.Tactic.MCasesPat.alts", "Lean.Parser.Tactic.MCasesPat.one", "Lean.Parser.Tactic.MCasesPat.stateful", "Lean.Parser.Tactic.MCasesPat.pure", "Lean.Parser.Tactic.MCasesPat.clear", "Lean.Parser.Tactic.MCasesPat.tuple" ]
true
RingCat.ringObj._proof_46
Mathlib.Algebra.Category.Ring.Limits
[ "RingCat.ringObj._proof_22", "AddGroupWithOne.intCast_negSucc._autoParam", "Semiring.toNatCast", "RingCat.ringObj._proof_19", "RingCat.ringObj._proof_27", "CategoryTheory.Functor", "RingCat.ringObj._aux_4", "RingCat.ringObj._proof_3", "RingCat.ringObj._proof_15", "RingCat.ringObj._aux_13", "Ring...
false
NonUnitalSubsemiring.inclusion._proof_1
Mathlib.RingTheory.NonUnitalSubsemiring.Defs
[ "Membership.mem", "Subtype", "NonUnitalSubsemiring.instNonUnitalSubsemiringClass", "NonUnitalRingHom.instFunLike", "NonUnitalRingHom.instNonUnitalRingHomClass", "NonUnitalSubsemiring.instSetLike", "NonUnitalSubsemiring", "NonUnitalRingHomClass", "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring...
false
_private.Lean.Elab.Match.0.Lean.Elab.Term.elabMatchTypeAndDiscrs.elabDiscrs._unsafe_rec
Lean.Elab.Match
[ "Pure.pure", "Lean.instantiateMVars", "Unit.unit", "Lean.instMonadMCtxOfMonadLift", "Lean.Elab.Term.Discr", "Array.push", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts", "ReaderT", "instMonadControlTOfPure", "Monad.toApplicative", "Lean.Meta.State", "...
false
Std.TreeMap.Raw.equiv_iff_keys_unit_perm
Std.Data.TreeMap.Raw.Lemmas
[ "Std.TreeMap.Raw.keys", "Std.DTreeMap.Raw.Const.equiv_iff_keys_unit_perm", "Ordering", "Std.DTreeMap.Raw.Equiv", "List.Perm", "Std.TreeMap.Raw.Equiv", "Std.TreeMap.Raw.inner", "Std.TreeMap.Raw", "Unit", "Iff", "_private.Std.Data.TreeMap.Raw.Lemmas.0.Std.TreeMap.Raw.equiv_iff", "Iff.trans" ]
true
Array.forM_append
Init.Data.Array.Monadic
[ "Array.instAppend", "ForM.forM", "congrArg", "List.forM_append", "Array.instForMOfMonad", "Array.casesOn", "LawfulMonad", "List.append_toArray", "List.forM_toArray", "List.toArray", "Array", "funext", "instHAppendOfAppend", "List", "PUnit", "congr", "True", "eq_self", "of_eq_true...
true
CategoryTheory.ShortComplex.SnakeInput.composableArrowsFunctor._proof_2
Mathlib.Algebra.Homology.ShortComplex.SnakeLemma
[ "CategoryTheory.ComposableArrows.homMk₅", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.ShortComplex.SnakeInput.naturality_δ", "CategoryTheory.ShortComplex.SnakeInput.L₃", "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_246", "CategoryTheory.CategoryStruct.toQuiver", "Category...
false
Ordinal.max_zero_right
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.instLinearOrder", "Lattice.toSemilatticeSup", "instIsBotZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice...
true
_private.Mathlib.Order.Interval.Set.LinearOrder.0.Set.Ioc_inter_Ioc._proof_1_1
Mathlib.Order.Interval.Set.LinearOrder
[ "instLawfulOrderLT_mathlib", "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Set.ext", "Set.Ioc", "of_eq_false", "False", "Lean.Grind.and_eq_of_eq_true_right", "Preorder.toLT", "Lattice.toSemilatticeSup", "Lean.Grind.not_not", "eq_false", "Lean.Grind.iff_eq", "congrArg",...
false
Algebra.IsPushout.symm
Mathlib.RingTheory.IsTensorProduct
[ "AlgHom.toLinearMap", "AlgEquiv.instEquivLike", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "Algebra.to_smulCommClass", "instHSMul", "Semiring.toModule", "HMul.hMul", "IsScalarTower.right", "Equiv.right_inv", "LinearEquiv.mk", "Algebra.algebraMap", "NonUnitalAlgHom...
true
Interval._aux_Mathlib_Order_Interval_Set_UnorderedInterval___macroRules_Interval_termΙ_1
Mathlib.Order.Interval.Set.UnorderedInterval
[ "Pure.pure", "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", "Lean.TSyntax....
false
Std.DTreeMap.Internal.Impl.Const.getThenInsertIfNew?
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.DTreeMap.Internal.Impl.Const.getThenInsertIfNew?.match_1", "Std.DTreeMap.Internal.Impl.Balanced", "Option.some", "Std.DTreeMap.Internal.Impl.size", "Prod.mk", "instOfNatNat", "Option.none", "instHAdd", "Unit", "HAdd.hAdd", "Nat...
true
CategoryTheory.ObjectProperty.homMk_surjective
Mathlib.CategoryTheory.ObjectProperty.FullSubcategory
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ObjectProperty.FullSubcategory.obj", "CategoryTheory.ObjectProperty.homMk", "Exists.intro", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.InducedCategory.Hom.hom", "CategoryTheory.ObjectProperty.FullSubcategory", "...
true
Lean.CollectMVars.State.result
Lean.Util.CollectMVars
[ "Lean.MVarId", "Array", "Lean.CollectMVars.State" ]
true
Module.Basis.constrL._proof_1
Mathlib.Topology.Algebra.Module.FiniteDimension
[ "AddCommGroup.toAddCommMonoid", "Finite", "NormedDivisionRing.toDivisionRing", "NormedField.toField", "AddCommGroup", "NormedField.toNormedDivisionRing", "Field.toSemifield", "Module.Basis.finiteDimensional_of_finite", "Module.Basis", "FiniteDimensional", "Semifield.toDivisionSemiring", "Divis...
false
Substring.Raw.str
Init.Prelude
[ "String", "Substring.Raw" ]
true
DirectLimit.instCommGroupWithZeroOfMonoidWithZeroHomClass._proof_7
Mathlib.Algebra.Colimit.DirectLimit
[ "GroupWithZero.toMonoidWithZero", "GroupWithZero.zpow", "Semigroup.toMul", "HMul.hMul", "GroupWithZero", "Preorder.toLE", "inferInstance", "Int", "LE.le", "Nat.cast", "DirectLimit", "MonoidWithZeroHomClass", "DirectLimit.instGroupWithZero", "MonoidWithZero.toMulZeroOneClass", "Nat", "I...
false
Lean.Meta.NormCast.normCastExt
Lean.Meta.Tactic.NormCast
[ "Inhabited.default", "Lean.Meta.NormCast.NormCastExtension", "Lean.Meta.NormCast.instInhabitedNormCastExtension" ]
true
TopCat.isoOfHomeo._proof_1
Mathlib.Topology.Category.TopCat.Basic
[ "ContinuousMapClass", "TopCat.str", "Homeomorph.instEquivLike", "TopCat.carrier", "Homeomorph", "TopCat", "Homeomorph.instContinuousMapClass", "EquivLike.toFunLike" ]
false
LocallyFinite.exists_finset_support
Mathlib.Topology.Algebra.Monoid
[ "Filter.instMembership", "Eq.mpr", "congrArg", "Finset", "Filter.Eventually", "setOf", "Set.Finite", "Membership.mem", "Exists", "nhds", "id", "Set.Finite.coe_toFinset", "HasSubset.Subset", "Set.instInter", "LocallyFinite", "Inter.inter", "And.casesOn", "TopologicalSpace", "And",...
true
Equiv.completeAtomicBooleanAlgebra._proof_6
Mathlib.Order.CompleteBooleanAlgebra
[ "Equiv.apply_symm_apply", "iInf", "Equiv.instEquivLike", "CompleteAtomicBooleanAlgebra", "Membership.mem", "Equiv", "CompleteLattice.toCompleteSemilatticeInf", "CompleteBooleanAlgebra.toCompleteLattice", "CompleteSemilatticeInf.toInfSet", "Equiv.symm", "Eq", "Set.instMembership", "DFunLike.c...
false
_private.Lean.Server.Completion.CompletionInfoSelection.0.Lean.Server.Completion.findCompletionInfosAt.go.match_3
Lean.Server.Completion.CompletionInfoSelection
[ "Lean.Elab.CompletionInfo", "Nat.hasNotBit", "Lean.Elab.Info.ofCompletionInfo", "_private.Lean.Server.Completion.CompletionInfoSelection.0.Lean.Server.Completion.findCompletionInfosAt.go._sparseCasesOn_3", "Lean.Elab.Info.ctorIdx", "Lean.Elab.Info" ]
false
CategoryTheory.Limits.image.compIso._proof_1
Mathlib.CategoryTheory.Limits.Shapes.Images
[ "CategoryTheory.IsIso", "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.mono_of_strongMono", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.strongMono_of_isIso", "CategoryTheory.Category" ]
false
Mathlib.Tactic.ToDual.data
Mathlib.Tactic.Translate.ToDual
[ "Mathlib.Tactic.ToDual.doTranslateAttr", "Mathlib.Tactic.Translate.TranslateData.mk", "Mathlib.Tactic.ToDual.ignoreArgsAttr", "Option.some", "Mathlib.Tactic.ToDual.guessNameExt", "Bool.true", "Mathlib.Tactic.Translate.TranslateData", "Mathlib.Tactic.ToDual.unfoldBoundaries", "Mathlib.Tactic.ToDual.t...
true
_private.Lean.PrettyPrinter.Delaborator.TopDownAnalyze.0.Lean.PrettyPrinter.Delaborator.TopDownAnalyze.containsBadMax._sparseCasesOn_1
Lean.PrettyPrinter.Delaborator.TopDownAnalyze
[ "Lean.Level.ctorIdx", "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Level.mvar", "Lean.Level.param", "Nat.hasNotBit", "Lean.Level.imax", "instOfNatNat", "Lean.Level", "Nat.land", "Lean.Level.zero", "Nat", "Bool", "Lean.Level.rec", "Lean.Name", "Eq.refl", "Lean.Level.succ", "OfN...
false
_private.Mathlib.Analysis.Fourier.ZMod.0.ZMod.auxDFT_smul
Mathlib.Analysis.Fourier.ZMod
[ "NegZeroClass.toNeg", "Nat.instMulZeroClass", "instHSMul", "HMul.hMul", "Finset.univ", "ZMod.commRing", "Complex.commRing", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Finset", "ZMod.stdAddChar", "SMul", "ZMod.fintype", "Add...
true
cantorToTernary_ne_one
Mathlib.Topology.Instances.CantorSet
[ "Real", "cantorToTernary", "Fin.instOfNat", "Ne", "instOfNatNat", "_private.Mathlib.Topology.Instances.CantorSet.0.cantorToTernary_ne_one._proof_1_2", "Stream'.get", "Nat.instNeZeroSucc", "Nat", "OfNat.ofNat", "Fin" ]
true
CategoryTheory.Tor._proof_4
Mathlib.CategoryTheory.Monoidal.Tor
[ "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalPreadditive", "CategoryTheory.MonoidalCategory.tensoringLeft", "Catego...
false
CommAlgCat.inv_hom_apply
Mathlib.Algebra.Category.CommAlgCat.Basic
[ "CommAlgCat.instConcreteCategoryAlgHomCarrier", "CommRing", "congrArg", "CommSemiring.toSemiring", "CategoryTheory.ConcreteCategory.hom", "AlgHom", "AlgHom.funLike", "CommAlgCat.commRing", "CategoryTheory.Iso", "CommAlgCat.instCategory", "CategoryTheory.Iso.hom_inv_id_apply", "CommAlgCat.carri...
true
CategoryTheory.SimplicialObject.Homotopy.mk._flat_ctor
Mathlib.AlgebraicTopology.SimplicialObject.Homotopy
[ "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Fin.succ", "CategoryTheory.SimplicialObject.Homotopy.mk", "CategoryTheory.Functor.category", "instOfNatNat", "LE.le", "instLEFin", "CategoryTheory.SimplicialObject.Homotopy", "instHAdd", "HAdd.hAdd", "SimplexCategory.mk", ...
false
Lean.AssocList.nil.elim
Lean.Data.AssocList
[ "Lean.AssocList.nil", "PULift.up", "Lean.AssocList.ctorElim", "Lean.AssocList.ctorIdx", "Nat", "Lean.AssocList", "Eq.symm", "Eq" ]
false
clusterPt_principal_subtype_iff_frequently
Mathlib.Topology.NhdsWithin
[ "Subtype.coe_mk", "Iff.mpr", "Eq.mpr", "Topology.IsInducing.nhds_eq_comap", "_private.Mathlib.Topology.NhdsWithin.0.clusterPt_principal_subtype_iff_frequently._simp_1_3", "_private.Mathlib.Topology.NhdsWithin.0.clusterPt_principal_subtype_iff_frequently.match_1_4", "Iff.of_eq", "congrArg", "Filter.m...
true
Graph.inf_inc_iff._simp_1
Mathlib.Combinatorics.Graph.Lattice
[ "Graph.inf_inc_iff", "Graph.Inc", "Exists", "Graph.instSemilatticeInf", "Graph", "SemilatticeInf.toMin", "And", "Graph.IsLink", "propext", "Eq", "Min.min" ]
false
MeasureTheory.laverage_mul_measure_univ
Mathlib.MeasureTheory.Integral.Average
[ "Iff.mpr", "Eq.mpr", "MeasureTheory.Measure", "instHDiv", "HMul.hMul", "MeasureTheory.laverage", "congrArg", "CommSemiring.toSemiring", "Set.univ", "MeasureTheory.laverage_zero_measure", "MeasureTheory.Measure.measure_univ_ne_zero", "MeasureTheory.measure_ne_top", "MeasureTheory.laverage_eq"...
true
Std.DTreeMap.Internal.Impl.Const.get!ₘ
Std.Data.DTreeMap.Internal.Model
[ "Ord", "Option.get!", "Inhabited", "Std.DTreeMap.Internal.Impl.Const.get?ₘ", "Std.DTreeMap.Internal.Impl" ]
true
String.skipPrefix?
Init.Data.String.TakeDrop
[ "String.toSlice", "String", "String.Slice.skipPrefix?", "String.Slice.Pattern.ForwardPattern", "Option.map", "String.Pos.ofToSlice", "String.Pos", "String.Slice.Pos", "Option" ]
true
Std.Internal.IO.Async.DNS.NameInfo.mk.injEq
Std.Internal.Async.DNS
[ "Std.Internal.IO.Async.DNS.NameInfo.mk.inj", "Eq.propIntro", "String", "Lean.injEq_helper", "And", "Std.Internal.IO.Async.DNS.NameInfo", "Eq.ndrec", "Eq.refl", "Eq", "Std.Internal.IO.Async.DNS.NameInfo.mk" ]
true
_private.Mathlib.Computability.TuringMachine.PostTuringMachine.0.Turing.TM1.stmts₁_supportsStmt_mono._simp_1_15
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Finset.instUnion", "Finset", "Membership.mem", "Finset.instSetLike", "propext", "Finset.mem_union", "Or", "Union.union", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
Ideal.span_singleton_absNorm_le
Mathlib.RingTheory.Ideal.Norm.AbsNorm
[ "Nontrivial", "Nat.instMulZeroOneClass", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "CommRing.toNonUnitalCommRing", "Ideal.absNorm", "CommSemiring.toSemiring", "Ideal.absNorm_mem", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "MonoidWi...
true
_private.Mathlib.RepresentationTheory.Induced.0.Rep.indResHomEquiv._simp_1
Mathlib.RepresentationTheory.Induced
[ "Representation.Coinvariants.mk_inv_tmul", "CommRing", "Representation", "MonoidHom.instFunLike", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Module.End.instSemiring", "LinearMap.instFunLike", "Group", "Group.toDivisionMo...
false
NormalizationMonoid.ofUniqueUnits
Mathlib.Algebra.GCDMonoid.Basic
[ "NormalizationMonoid", "Units", "NormalizationMonoid.ofUniqueUnits._proof_2", "CommMonoidWithZero.toMonoidWithZero", "Units.instOne", "NormalizationMonoid.ofUniqueUnits._proof_1", "CommMonoidWithZero", "NormalizationMonoid.mk", "One.toOfNat1", "Subsingleton", "OfNat.ofNat", "MonoidWithZero.toM...
true
MonoidHom.toAdditiveRightMulEquiv._proof_1
Mathlib.Algebra.Group.TypeTags.Hom
[ "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "Equiv.trans", "Additive", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Multiplicative.mulOneClass", "Additive.addZeroClass", "Equiv.toFun", "Multiplicative", "MulOneClass.toMulOne", "CommMonoid.toMonoid", "AddMonoid", "Multipli...
false
QuadraticAlgebra.coe_injective
Mathlib.Algebra.QuadraticAlgebra.Defs
[ "QuadraticAlgebra", "QuadraticAlgebra.C", "QuadraticAlgebra.C_injective", "Function.Injective", "Zero" ]
true
_private.Batteries.Classes.SatisfiesM.0.SatisfiesM.imp.match_1_1
Batteries.Classes.SatisfiesM
[ "Subtype.casesOn", "Subtype", "Subtype.mk" ]
false
Matroid.IsStrictMinor.trans
Mathlib.Combinatorics.Matroid.Minor.Order
[ "Matroid.instPartialOrder", "PartialOrder.toPreorder", "Matroid.IsStrictMinor", "LT.lt.trans", "Matroid.IsStrictMinor.lt", "Matroid" ]
true
Polynomial.associated_of_dvd_of_natDegree_le_of_leadingCoeff
Mathlib.Algebra.Polynomial.Div
[ "Units.val", "Eq.mpr", "Polynomial.C", "IsDomain", "False", "Semigroup.toMul", "CommRing", "IsDomain.to_noZeroDivisors", "Dvd.dvd", "MonoidHom.instFunLike", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Polynomial.leadingCoeff_mul", "MonoidHom", "MulZeroClass.toMul", "Monoid.toMulOneCl...
true
Lean.Grind.CommRing.Poly
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Poly.add", "Lean.Grind.CommRing.Poly.num" ]
true
TrivSqZeroExt.addMonoid._proof_1
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "TrivSqZeroExt", "AddMonoid.toAddSemigroup", "TrivSqZeroExt.addSemigroup", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "Prod.instAddMonoid._proof_1", "AddZero.toZero", "instHAdd", "AddSemigroup.toAdd", "HAdd.hAdd", "AddMonoid", "Zero.toOfNat0", "OfNat.ofNat", "Eq", "TrivSqZeroE...
false
ContinuousWithinAt.eq_const_of_mem_closure
Mathlib.Topology.Separation.Basic
[ "Eq.mpr", "ContinuousWithinAt.mem_closure", "ContinuousWithinAt", "congrArg", "Membership.mem", "Set.instSingletonSet", "id", "closure_singleton", "TopologicalSpace", "Set.mem_singleton_iff", "closure", "propext", "T1Space", "Singleton.singleton", "Eq.symm", "Eq", "Set.instMembership...
true
MeasureTheory.OuterMeasure.trim_zero
Mathlib.MeasureTheory.OuterMeasure.Induced
[ "ENNReal.instCanonicallyOrderedAdd", "LE.le.trans_eq", "MeasureTheory.OuterMeasure.instZero", "instIsBotZeroClass", "Set.subset_univ", "Set.univ", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "MeasureTheory.OuterMeasure", "AddCommMonoidWithOne.toAddMonoidWithOne", "L...
true
CategoryTheory.StrictlyUnitaryLaxFunctor.mk'_obj
Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.LaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory", "CategoryTheory.PrelaxFunctorStruct.toPrefunctor", "Eq.refl", "Categor...
true
_private.Lean.Compiler.LCNF.Simp.SimpValue.0.Lean.Compiler.LCNF.Simp.simpAppApp?.match_3
Lean.Compiler.LCNF.Simp.SimpValue
[ "_private.Lean.Compiler.LCNF.Simp.SimpValue.0.Lean.Compiler.LCNF.Simp.simpProj?._sparseCasesOn_3", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Lean.Compiler.LCNF.Purity.pure", "Lean.Compiler.LCNF.LetDecl", "Option" ]
false
Lean.Parser.Term.doLetRec
Lean.Parser.Do
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "Lean.Parser.nonReservedSymbol", "instHAndThenOfAndThen", "Lean.Parser.group", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.Term.letRecDecls", "Lean.Parser.withAntiquot", "Bool.true", "Unit", "Nat", "Lean.Parser.wi...
true
_private.Lean.Data.RArray.0.Lean.RArray.get_ofFn._proof_1_3
Lean.Data.RArray
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
CategoryTheory.SpectralSequence.Hom._sizeOf_1
Mathlib.Algebra.Homology.SpectralSequence.Basic
[ "CategoryTheory.Abelian.toPreadditive", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SpectralSequence.Hom._proof_12", "CategoryTheory.SpectralSequence", "CategoryTheory.Abelian", "HomologicalComplex", "Catego...
false
RingHom.FinitePresentation.of_finiteType
Mathlib.RingTheory.FinitePresentation
[ "RingHom.FinitePresentation", "CommRing", "CommSemiring.toSemiring", "RingHom.FiniteType", "RingHom", "IsNoetherianRing", "CommRing.toCommSemiring", "Iff", "Algebra.FinitePresentation.of_finiteType", "Semiring.toNonAssocSemiring", "RingHom.toAlgebra" ]
true
PresentedMonoid.closure_range_of
Mathlib.Algebra.PresentedMonoid.Basic
[ "Eq.mpr", "PresentedMonoid", "CancelMonoid.toRightCancelMonoid", "FreeMonoid", "MonoidHom.instFunLike", "Submonoid.mul_mem", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "PresentedMonoid.of", "FreeMonoid.instCancelMonoid", "Membership.mem", "Exists", "id", "exists_apply_eq_apply._sim...
true
AddSubgroup.IsSubnormal.below.step
Mathlib.GroupTheory.IsSubnormal
[ "AddSubgroup.IsSubnormal.below.step", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "AddSubgroup.IsSubnormal", "Preorder.toLE", "AddSubgroup.toAddGroup", "Membership.mem", "AddSubgroup.IsSubnormal.below", "Subtype", "LE.le", "AddSubgroup", "AddSubgroup.Normal", "AddGroup", "Ad...
true