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2 classes
RingQuot.definition._proof_3._@.Mathlib.Algebra.RingQuot.2555519587._hygCtx._hyg.2
Mathlib.Algebra.RingQuot
[ "RingQuot.definition._proof_1._@.Mathlib.Algebra.RingQuot.3469094938._hygCtx._hyg.2", "MulOne.toOne", "RingHom.mk", "AlgHom.toMonoidHom'._proof_2", "RingQuot.toQuot", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "AlgHom", "OneHom.mk", "AlgHom.funLike", "RingQuot.preLiftAlgHom",...
false
CategoryTheory.ReflQuiver.noConfusion
Mathlib.Combinatorics.Quiver.ReflQuiver
[ "Quiver.Hom", "HEq.refl", "Quiver", "eq_of_heq", "Eq.ndrec", "CategoryTheory.ReflQuiver.noConfusionType", "HEq", "CategoryTheory.ReflQuiver", "Eq", "CategoryTheory.ReflQuiver.casesOn" ]
false
_private.Lean.PrettyPrinter.Delaborator.Builtins.0.Lean.PrettyPrinter.Delaborator.skippingBinders.loop._unsafe_rec
Lean.PrettyPrinter.Delaborator.Builtins
[ "Lean.mkAppN", "ReaderT", "instMonadControlTOfPure", "Lean.PrettyPrinter.Delaborator.instMonadReaderOfSubExprDelabM", "Lean.PrettyPrinter.Delaborator.Context", "Lean.Meta.State", "instMonadLiftT", "Lean.Expr.isLambda", "ReaderT.instMonad", "Lean.PrettyPrinter.Delaborator.DelabM", "Lean.Expr", ...
false
LieSubmodule.map_incl_le._simp_1
Mathlib.Algebra.Lie.Submodule
[ "LieSubmodule.map", "LieSubmodule.instSetLike", "CommRing", "LieSubmodule.instLieRingModuleSubtypeMem", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule.instSMulMemClass", "PartialOrder.toPreorder", "LieSubmodule.instPartialOrder", "LieSubmodule", "Preorder.toLE", "AddC...
false
MulRingNorm.noConfusionType
Mathlib.Analysis.Normed.Unbundled.RingSeminorm
[ "MulRingNorm.casesOn", "AddGroup.toSubtractionMonoid", "Real", "Real.instZero", "AddGroupWithOne.toAddGroup", "MulRingNorm", "MulRingSeminorm", "SubtractionMonoid.toSubNegZeroMonoid", "NonAssocRing", "MulRingSeminorm.toAddGroupSeminorm", "SubNegZeroMonoid.toNegZeroClass", "NonAssocRing.toAddCo...
false
ExteriorAlgebra.«_aux_Mathlib_LinearAlgebra_ExteriorAlgebra_Basic___macroRules_ExteriorAlgebra_term⋀[_]^__1»
Mathlib.LinearAlgebra.ExteriorAlgebra.Basic
[ "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
CategoryTheory.MorphismProperty.comul_hom
Mathlib.CategoryTheory.CopyDiscardCategory.Widesubcategory
[ "CategoryTheory.ComonObj.comul", "CategoryTheory.MorphismProperty.IsStableUnderComonoid", "CategoryTheory.MorphismProperty", "CategoryTheory.WideSubcategory.obj", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instComonObjWideSubcategoryOfIsStableUnderComonoidOb...
true
tsum_eq_tsum_primes_of_support_subset_prime_powers
Mathlib.NumberTheory.LSeries.PrimesInAP
[ "UniformSpace", "Eq.mpr", "Equiv.apply_symm_apply", "Nat.Prime", "CompleteSpace", "Equiv.instEquivLike", "congrArg", "tsum_congr", "AddCommGroup.toAddCommMonoid", "Nat.instMonoid", "Summable.subtype", "SummationFilter", "IsPrimePow", "setOf", "AddCommGroup.toAddGroup", "Equiv.tsum_eq",...
true
Lean.PrettyPrinter.Delaborator.addDelabTermInfo
Lean.PrettyPrinter.Delaborator.Basic
[ "Std.TreeMap.insert", "Lean.PrettyPrinter.Delaborator.State.holeIter", "_private.Lean.PrettyPrinter.Delaborator.Basic.0.Lean.PrettyPrinter.Delaborator.addTermInfo.mkTermInfo", "Lean.Core.instMonadLiftIOCoreM", "IO.instMonadLiftSTRealWorldBaseIO", "Lean.PrettyPrinter.Delaborator.State.infos", "modify", ...
true
_private.Mathlib.Analysis.Calculus.TangentCone.Basic.0.tangentConeAt_subset_zero._simp_1_2
Mathlib.Analysis.Calculus.TangentCone.Basic
[ "Filter.Eventually", "Filter.Frequently", "Filter.not_frequently", "propext", "Eq", "Not", "Filter" ]
false
AlgebraicGeometry.IsDominant.respectsIso
Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap
[ "AlgebraicGeometry.Scheme", "CategoryTheory.IsIso", "CategoryTheory.CategoryStruct.toQuiver", "AlgebraicGeometry.instIsDominantOfSurjective", "Quiver.Hom", "inferInstance", "AlgebraicGeometry.instSurjectiveOfIsIsoScheme", "CategoryTheory.MorphismProperty.RespectsIso", "AlgebraicGeometry.IsDominant",...
true
_private.Mathlib.AlgebraicGeometry.Gluing.0.AlgebraicGeometry.Scheme.Cover.ι_glueMorphisms._simp_1_2
Mathlib.AlgebraicGeometry.Gluing
[ "CategoryTheory.MorphismProperty", "AlgebraicGeometry.Scheme", "CategoryTheory.PreZeroHypercover.f", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommRingCat", "CommRingCat.instCategory", "CategoryTheory.PreZeroHypercover.X", "AlgebraicGeome...
false
_private.Mathlib.Combinatorics.SetFamily.Compression.UV.0.UV.aux._proof_1_2
Mathlib.Combinatorics.SetFamily.Compression.UV
[ "False", "Finset.instGeneralizedBooleanAlgebra", "Finset.decidableDisjoint", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Finset", "Classical.byContradiction", "Finset.ext", "Membership.mem", "Exists", "Eq.mp", "id", "Lean.Grind.forall_imp_eq_or", "Finset.decidableEq", "Lean.Grind.not...
false
_private.Lean.Elab.Tactic.Grind.Param.0.Lean.Elab.Tactic.Grind.shouldKeep._sparseCasesOn_1
Lean.Elab.Tactic.Grind.Param
[ "Nat.ne_of_beq_eq_false", "Nat.shiftRight", "Lean.Syntax", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Meta.Grind.Origin.ctorIdx", "Nat.land", "Lean.Meta.Grind.Origin.fvar", "Lean.Meta.Grind.Origin", "Nat", "Lean.Meta.Grind.Origin.local", "Bool", "Lean.Name", "Eq.refl", "Lean...
false
Real.toNNReal.eq_1
Mathlib.Data.NNReal.Defs
[ "Real", "Real.instZero", "NNReal.mk", "NNReal", "Real.instMax", "Max.max", "Real.toNNReal._proof_1", "Zero.toOfNat0", "Eq.refl", "OfNat.ofNat", "Eq", "Real.toNNReal" ]
true
ENNReal.neTopHomeomorphNNReal._proof_1
Mathlib.Topology.Instances.ENNReal.Lemmas
[ "NNReal.instTopologicalSpace", "Continuous", "setOf", "Membership.mem", "Set.Elem", "NNReal", "Ne", "ENNReal.toNNReal", "ENNReal.continuousOn_toNNReal", "continuousOn_iff_continuous_restrict", "ENNReal", "Iff.mp", "ContinuousOn", "ENNReal.instTopologicalSpace", "ENNReal.instTop", "inst...
false
Lean.Meta.Grind.Params.extra
Lean.Meta.Tactic.Grind.Main
[ "Lean.Meta.Grind.Params", "Lean.PArray", "Lean.Meta.Grind.EMatchTheorem" ]
true
List.rightInverse_idxToSigmaCount_sigmaCountToIdx
Batteries.Data.List.Count
[ "List.sigmaCountToIdx", "_private.Batteries.Data.List.Count.0.List.rightInverse_idxToSigmaCount_sigmaCountToIdx._proof_1_1", "List.idxToSigmaCount", "List", "List.count", "ReflBEq", "Function.RightInverse", "Fin", "BEq", "List.length", "Sigma" ]
true
Function.Coequalizer.Rel
Mathlib.Logic.Function.Coequalizer
[ "Function.Coequalizer.Rel.intro" ]
true
CentroidHom.ext
Mathlib.Algebra.Ring.CentroidHom
[ "DFunLike.ext", "NonUnitalNonAssocSemiring", "CentroidHom.instFunLike", "Eq", "DFunLike.coe", "CentroidHom" ]
true
CategoryTheory.CostructuredArrow.epi_of_epi_left
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Comma.left", "CategoryTheory.CostructuredArrow", "CategoryTheory.CostructuredArrow.proj_faithful", "CategoryTheory.Functor.reflectsEpimorphisms_of_faithful", "CategoryTheory.instCa...
true
BitVec.getElem_not
Init.Data.BitVec.Lemmas
[ "instPowNat", "Eq.mpr", "Bool.not", "instDecidableTrue", "congrArg", "Nat.sub_add_eq", "Decidable.decide.congr_simp", "HSub.hSub", "BitVec", "id", "Bool.and", "instSubNat", "instOfNatNat", "Bool.true_and", "BitVec.toNat", "decide_true", "BitVec.isLt", "Nat.testBit_two_pow_sub_succ"...
true
gc_Ici_sInf
Mathlib.Order.GaloisConnection.Basic
[ "OrderDual.toDual", "le_sInf_iff", "Equiv.instEquivLike", "Set.Ici", "OrderDual.ofDual", "PartialOrder.toPreorder", "Preorder.toLE", "Function.comp", "Membership.mem", "SemilatticeInf.toPartialOrder", "Equiv", "BiheytingAlgebra.toCoheytingAlgebra", "LE.le", "BooleanAlgebra.toBiheytingAlgeb...
true
_private.Lean.Data.Json.Basic.0.Lean.instDecidableEqJsonNumber.decEq._proof_2
Lean.Data.Json.Basic
[ "False", "Lean.JsonNumber", "Lean.JsonNumber.mk", "Int", "Nat", "Eq", "Not", "Lean.JsonNumber.mk.noConfusion" ]
false
Equiv.arrowProdEquivProdArrow._proof_1
Mathlib.Logic.Equiv.Prod
[ "Function.LeftInverse", "Prod.mk", "Prod.fst", "Eq.refl", "Prod", "Prod.snd" ]
false
_private.Init.Grind.Ring.CommSolver.0.Lean.Grind.CommRing.Expr.toPolyC.go.match_4.eq_1
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Expr", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.CommRing.Expr.var", "Lean.Grind.CommRing.Expr.sub", "Lean.Grind.CommRing.Expr.natCast", "Lean.Grind.CommRing.Expr.neg", "Int", "Lean.Grind.CommRing.Expr.add", "Lean.Grind.CommRing.Var", "Nat", "Lean.Grind.CommRing.Expr.toPol...
true
contDiffWithinAtProp_self_source
Mathlib.Geometry.Manifold.ContMDiff.Defs
[ "Eq.mpr", "NormedSpace", "congrArg", "Set.univ", "Set.inter_univ", "CompTriple.instIsIdId", "PseudoMetricSpace.toUniformSpace", "Function.comp", "id", "ModelWithCorners.toFun'", "Set.instInter", "Inter.inter", "iff_self", "CompTriple.comp_eq", "TopologicalSpace", "ModelWithCorners", ...
true
_private.Mathlib.Algebra.Group.Subsemigroup.Basic.0.AddSubsemigroup.closure_induction.match_1_1
Mathlib.Algebra.Group.Subsemigroup.Basic
[ "AddSubsemigroup.instSetLike", "setOf", "Membership.mem", "Exists", "AddSubsemigroup.closure", "Exists.casesOn", "AddSubsemigroup", "Exists.intro", "Set.instMembership", "SetLike.instMembership", "Add", "Set" ]
false
CategoryTheory.Equivalence.congrFullSubcategory
Mathlib.CategoryTheory.ObjectProperty.Equivalence
[ "CategoryTheory.Functor", "CategoryTheory.Equivalence.unitIso", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Equivalence.congrFullSubcategory._proof_1", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory....
true
Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem.mk.inj
Lean.Elab.Tactic.Do.Attr
[ "Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem.mk.noConfusion", "Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem", "Lean.Expr", "Lean.Meta.DiscrTree.Key", "Array", "And", "Nat", "And.intro", "Lean.Elab.Tactic.Do.SpecAttr.SpecTheorem.mk", "Eq", "Lean.Elab.Tactic.Do.SpecAttr.SpecProof" ]
true
_private.Lean.Elab.Tactic.Do.ProofMode.Have.0.Lean.Elab.Tactic.Do.ProofMode.elabMHave.match_3
Lean.Elab.Tactic.Do.ProofMode.Have
[ "Lean.Expr", "Prod.mk", "Prod", "Prod.casesOn" ]
false
Algebra.Generators.CotangentSpace.compEquiv._proof_8
Mathlib.RingTheory.Kaehler.JacobiZariski
[ "CommRing", "CommSemiring.toSemiring", "RingHomCompTriple", "CommRing.toCommSemiring", "RingHom.id", "RingHomCompTriple.ids", "Semiring.toNonAssocSemiring" ]
false
MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst.congr_simp
Mathlib.Analysis.FunctionalSpaces.SobolevInequality
[ "Real", "MeasureTheory.Measure", "NormedSpace", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "BorelSpace", "Eq.rec", "NNReal", "MeasurableSpace", "FiniteDimensional", "MeasureTheory.Measure.IsAddHaarMeasure", "SeminormedAddCommGroup.toPseudoMetricSpa...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.map_map_equiv._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
Filter.Germ.instGroupWithZero._proof_1
Mathlib.Order.Filter.FilterProduct
[ "GroupWithZero.toMonoidWithZero", "Semigroup.toMul", "HMul.hMul", "GroupWithZero", "Filter.Germ.instMonoidWithZero", "MonoidWithZero.zero_mul", "MonoidWithZero.toZero", "Filter.Germ", "Monoid.toSemigroup", "Zero.toOfNat0", "OfNat.ofNat", "Ultrafilter", "Eq", "Ultrafilter.toFilter", "Mono...
false
Int.pairwise_one_le_dist
Mathlib.Topology.Instances.Int
[ "AddGroup.toSubtractionMonoid", "Int.cast", "Eq.mpr", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "Real.lattice", "Real.instZeroLEOneClass", "abs", "congrArg", "Int.instLinearOrder", "Real.instSub", "AddMonoid.toAddZeroClass", "sub_ne_zero", "PartialOrder.toPreorder", ...
true
Std.DTreeMap.Internal.Impl.Const.get_erase
Std.Data.DTreeMap.Internal.Lemmas
[ "Std.DTreeMap.Internal.Impl.toListModel_erase", "Eq.mpr", "Std.Internal.List.DistinctKeys", "Std.Internal.List.containsKey_of_perm", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Std.DTreeMap.Internal.Impl.contains_of_contains_erase", "Std.Internal.List.getValue_of_perm", "Ord", "Std.instLaw...
true
ENNReal.add_rpow_le_rpow_add
Mathlib.Analysis.MeanInequalitiesPow
[ "Iff.mpr", "Real.instIsOrderedRing", "Eq.mpr", "ENNReal.canLift", "ENNReal.instAdd", "Real.partialOrder", "Real.instLE", "Real", "ENNReal.ofNNReal", "LinearOrder.toDecidableEq", "Nat.ble", "Real.instZero", "congrArg", "ENNReal.instPowReal", "PartialOrder.toPreorder", "AddGroupWithOne.t...
true
CategoryTheory.Aut.autMulEquivOfIso._proof_10
Mathlib.CategoryTheory.Endomorphism
[ "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "id", "CategoryTheory.Iso", "CategoryTheory.Iso.mk", "CategoryTheory.Category.comp_id", "CategoryTheory.Aut.autMul...
false
CategoryTheory.GrpObj.ofIso_inv
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.GrpObj.inv", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.GrpObj", "CategoryTheory.CategoryStruct.comp", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.GrpObj.ofIso"...
true
_private.Init.Data.Nat.Fold.0.Nat.fold_eq_foldTR.go
Init.Data.Nat.Fold
[ "_private.Init.Data.Nat.Fold.0.Nat.fold_eq_foldTR._proof_1_2", "Nat.brecOn", "LE.le", "instLENat", "_private.Init.Data.Nat.Fold.0.Nat.foldTR.loop", "_private.Init.Data.Nat.Fold.0.Nat.fold_eq_foldTR.go._f", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "in...
true
_private.Mathlib.Tactic.CategoryTheory.Coherence.Basic.0.Mathlib.Tactic.BicategoryLike.ofNormalizedEq._sparseCasesOn_1
Mathlib.Tactic.CategoryTheory.Coherence.Basic
[ "Lean.Name.rec", "Nat.ne_of_beq_eq_false", "String", "Nat.shiftRight", "Nat.hasNotBit", "instOfNatNat", "Lean.Name.num", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name.anonymous", "Nat.land", "Nat", "Bool", "Lean.Name", "Eq.refl", "OfNat.ofNat", "Bool.false" ]
false
Subtype.property
Init.Prelude
[ "Subtype", "Subtype.val" ]
true
Finset.biUnion_union
Mathlib.Data.Finset.Union
[ "Finset.instUnion", "Finset", "Finset.biUnion", "_private.Mathlib.Data.Finset.Union.0.Finset.biUnion_union._proof_1_1", "Union.union", "Eq", "DecidableEq" ]
true
Order.succ_eq_succ_iff_of_not_isMax
Mathlib.Order.SuccPred.Basic
[ "Eq.mpr", "Preorder.toLT", "Order.succ", "congrArg", "LinearOrder", "Iff.rfl", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "id", "LE.le", "Order.succ_le_succ_iff_of_not_isMax", "And", "Iff", "Order.succ_lt_succ_iff_of_not_isM...
true
CategoryTheory.SheafOfTypes.adhesive
Mathlib.CategoryTheory.Sites.LeftExact
[ "CategoryTheory.Limits.Types.hasColimitsOfSize", "CategoryTheory.Limits.hasFiniteLimits_of_hasLimits", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.hasColimitsOfShape_widePushoutShape", "CategoryTheory.Type.adhesive", "CategoryTheory.HasSheafify", "CategoryTheory.Functor.category", "...
true
_private.Mathlib.Data.Fintype.Quotient.0.Quotient.listChoice_mk.match_1_1
Mathlib.Data.Fintype.Quotient
[ "False", "HEq.refl", "List.Mem.tail", "False.elim", "noConfusion_of_Nat", "Membership.mem", "List.cons", "List", "List.instMembership", "List.Mem.head", "Eq.refl", "HEq", "List.Mem", "Eq", "List.ctorIdx", "List.Mem.casesOn", "List.nil" ]
false
_private.Lean.Meta.ExprDefEq.0.Lean.Meta.initFn._@.Lean.Meta.ExprDefEq.1034906399._hygCtx._hyg.2
Lean.Meta.ExprDefEq
[ "Lean.Name.mkNum", "IO", "Lean.Name.mkStr3", "Lean.Name.mkStr", "instOfNatNat", "Lean.registerTraceClass", "instMonadEIO", "Lean.Name.anonymous", "Bool.true", "Unit", "Nat", "Lean.Name.mkStr2", "Monad.toBind", "Bind.bind", "IO.Error", "OfNat.ofNat", "Bool.false", "Lean.Name.mkStr4"...
false
CategoryTheory.StrictlyUnitaryLaxFunctorCore.noConfusionType
Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "CategoryTheory.StrictlyUnitaryLaxFunctorCore._proof_2", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.StrictlyUnitaryLaxFunctorCor...
false
PeriodPair.casesOn
Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
[ "instInnerProductSpaceRealComplex", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Real.instRCLike", "NormedSpace.toModule", "Complex.instNormedField", "Real.semiring", "NonUnitalNonAssocRing.toNonUnitalNonAssocSe...
false
Filter.Tendsto.eventually_le_const
Mathlib.Topology.Order.OrderClosed
[ "Preorder.toLT", "Lattice.toSemilatticeSup", "ClosedIciTopology", "LinearOrder", "Filter.Eventually", "PartialOrder.toPreorder", "Preorder.toLE", "nhds", "DistribLattice.toLattice", "LE.le", "TopologicalSpace", "Filter.Tendsto", "eventually_le_nhds", "LT.lt", "Filter.Tendsto.eventually",...
true
CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.mk.inj
Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition
[ "CategoryTheory.MorphismProperty", "Preorder.toLT", "Order.succ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "Preorder.toLE", "OrderBot", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Preorder.smallCatego...
true
Valuation.IsEquiv.uniformEquiv.congr_simp
Mathlib.Topology.Algebra.Valued.WithVal
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Valuation.IsEquiv.uniformEquiv", "LinearOrderedCommGroupWithZero", "WithVal.instRing", "Valued.toUniformSpace", "WithVal.instValued", "WithVal", "Eq.refl", "Valuation.IsEquiv", "Eq", "Ring", "Valuation", "UniformEquiv" ]
true
WithZero.instNontrivialUnits
Mathlib.Algebra.GroupWithZero.WithZero
[ "Nontrivial", "Equiv.instEquivLike", "Function.Surjective.nontrivial", "Monoid.toMulOneClass", "WithZero.instMonoidWithZero", "Group", "Units", "Equiv", "MulOne.toMul", "MulEquiv.toEquiv", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "WithZero", "WithZero.unit...
true
Std.Ric.HasRcoIntersection.mk
Init.Data.Range.Polymorphic.PRange
[ "Std.Rco", "Std.Ric.HasRcoIntersection", "Std.Ric", "Std.Ric.HasRcoIntersection.mk" ]
true
Lean.Meta.Grind.instToMessageDataActionResult
Lean.Meta.Tactic.Grind.Action
[ "Lean.ToMessageData", "Lean.Meta.Grind.ActionResult.toMessageData", "Lean.Meta.Grind.ActionResult", "Lean.ToMessageData.mk" ]
true
CategoryTheory.Equivalence.isDenseSubsite_functor_of_isCocontinuous
Mathlib.CategoryTheory.Sites.Equivalence
[ "CategoryTheory.GrothendieckTopology.superset_covering", "CategoryTheory.Equivalence.counitIso_inv_hom_id_app_assoc", "Eq.mpr", "CategoryTheory.Category.assoc", "le_refl", "CategoryTheory.Functor.IsCoverDense", "CategoryTheory.Sieve.fullyFaithfulFunctorGaloisCoinsertion", "CategoryTheory.CategoryStruc...
true
BoolAlg.ctorIdx
Mathlib.Order.Category.BoolAlg
[ "BoolAlg", "Nat" ]
false
_private.Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected.0.SimpleGraph.ConnectedComponent.adj_spanningCoe_toSimpleGraph._simp_1_1
Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
[ "SimpleGraph.Adj", "Exists", "SimpleGraph.map_adj", "Function.Embedding", "SimpleGraph", "And", "propext", "Function.instFunLikeEmbedding", "Eq", "DFunLike.coe", "SimpleGraph.map" ]
false
CategoryTheory.Sum.Swap.isEquivalence
Mathlib.CategoryTheory.Sums.Basic
[ "CategoryTheory.sum", "inferInstance", "Sum", "CategoryTheory.Equivalence.functor", "CategoryTheory.Equivalence.isEquivalence_functor", "CategoryTheory.Sum.Swap.equivalence", "CategoryTheory.Sum.swap", "CategoryTheory.Functor.IsEquivalence", "CategoryTheory.Category" ]
true
FirstOrder.Language.LHom.instUniqueOfIsAlgebraicOfIsRelational
Mathlib.ModelTheory.LanguageMap
[ "Unique.mk", "FirstOrder.Language.LHom.ofIsEmpty", "Unique", "FirstOrder.Language.LHom.instUniqueOfIsAlgebraicOfIsRelational._proof_1", "FirstOrder.Language.LHom", "FirstOrder.Language", "FirstOrder.Language.IsRelational", "FirstOrder.Language.IsAlgebraic", "Inhabited.mk" ]
true
CategoryTheory.SimplicialObject.Splitting.toKaroubiNondegComplexIsoN₁_hom_inv_id_f_assoc
Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject
[ "CategoryTheory.Category.assoc", "CategoryTheory.Idempotents.Karoubi.Hom.f", "ChainComplex", "HomologicalComplex.instCategory", "Opposite", "CategoryTheory.Idempotents.Karoubi", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", ...
true
MvPolynomial.coe_eq_one_iff._simp_1
Mathlib.RingTheory.MvPowerSeries.Basic
[ "Nat.instMulZeroClass", "CommSemiring.toSemiring", "MvPolynomial.coe_eq_one_iff", "MvPowerSeries", "MvPolynomial.toMvPowerSeries", "CommSemiring", "AddMonoidAlgebra.zero", "Nat", "MvPolynomial", "propext", "One.toOfNat1", "Finsupp.instZero", "OfNat.ofNat", "Eq", "Finsupp", "MvPowerSeri...
false
SSet.toNormalizedChainComplex_fromNormalizedChainComplex
Mathlib.AlgebraicTopology.SimplicialSet.Homology.Nondegenerate
[ "CategoryTheory.Functor", "ChainComplex", "HomologicalComplex.instCategory", "Opposite", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SimplicialObject.Splitting.map", "CategoryTheory.Functor.category", "AddRightCancelSemigroup.toAddSemigroup", "CategoryT...
true
WittVector.ctorIdx
Mathlib.RingTheory.WittVector.Defs
[ "WittVector", "Nat" ]
false
cauchySeq_bdd
Mathlib.Topology.MetricSpace.Cauchy
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "lt_of_le_of_lt", "NNDist.nndist", "Nat.instLattice", "lt_add_of_pos_right", "Real.partialOrder", "Real.instLE", "Real", "Preorder.toLT", "Lattice.toSemilatticeSup", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "CauchySeq", "...
true
RootPairing.Equiv.comp_indexEquiv_apply
Mathlib.LinearAlgebra.RootSystem.Hom
[ "RootPairing.Hom.indexEquiv", "CommRing", "Equiv.instEquivLike", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "RootPairing.Equiv.comp", "AddCommGroup", "Equiv", "RootPairing.Equiv.toHom", "CommRing.toCommSemiring", "Eq.refl", "RootPairing.Equiv", "Module", "Eq", "DFunLike.c...
true
Std.DHashMap.Internal.Raw₀.Const.get_eq_getD
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.DHashMap.Internal.Raw₀.contains", "Std.DHashMap.Internal.Raw.WF.out", "congrArg", "Std.DHashMap.Raw", "Std.DHashMap.Internal.Raw₀.contains_eq_containsKey", "Std.DHashMap.Internal.Raw₀.Const.getD_eq_getValueD", "Std.Internal.List.getValue", "Eq.rec", "id", ...
true
Multipliable.vanishing
Mathlib.Topology.Algebra.InfiniteSum.Group
[ "Filter.instMembership", "Lattice.toSemilatticeSup", "InvOneClass.toOne", "CauchySeq", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "Finset.inhabitedFinset", "Finset", "PartialOrder.toPreorder", "Classical.propDecidable", "Disjoint", "Membership.mem", "DivisionMono...
true
CategoryTheory.Limits.reflexivePair.compRightIso._proof_5
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
[ "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingReflexivePair.zero", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.reflexivePair.compRightIso._proof_2", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.refl", ...
false
Lean.FileMap.toPosition
Lean.Data.Position
[ "_private.Lean.Data.Position.0.Lean.FileMap.toPosition.loop", "String", "Lean.FileMap", "HSub.hSub", "Array.isEmpty", "GE.ge", "Bool.and", "instDecidableEqBool", "instSubNat", "instOfNatNat", "Lean.Position", "LE.le", "instLENat", "String.Pos.Raw", "Array.back!", "Array", "Bool.true"...
true
ContDiffBump.one_of_mem_closedBall
Mathlib.Analysis.Calculus.BumpFunction.Basic
[ "Norm.norm", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "instHDiv", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "Real.lattice", "someContDiffBumpBase", "norm_smul", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid...
true
Set.not_nontrivial_empty
Mathlib.Data.Set.Subsingleton
[ "Set.Nontrivial.ne_empty", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Set.Nontrivial", "Not", "rfl", "Set" ]
true
MeasureTheory.L1.SimpleFunc.setToL1SCLM_zero_left
Mathlib.MeasureTheory.Integral.SetToL1
[ "NormedCommRing.toNormedRing", "NormedCommRing.toSeminormedCommRing", "Real", "MeasureTheory.Measure", "NormedSpace.toIsBoundedSMul", "NormedSpace", "MeasureTheory.Lp.simpleFunc.module", "Real.denselyNormedField", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "NormedSpace.toModu...
true
_private.Mathlib.Algebra.TrivSqZeroExt.Basic.0.TrivSqZeroExt.range_liftAux._simp_1_4
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "AlgHom", "Algebra", "CommSemiring", "Subalgebra.map", "Semiring", "Subalgebra", "AlgHom.comp", "Eq.symm", "Eq", "AlgHom.range_comp", "AlgHom.range" ]
false
Lean.Meta.Grind.Order.instDecidableLEWeight
Lean.Meta.Tactic.Grind.Order.Util
[ "Decidable.isTrue", "Ordering.gt", "instDecidableEqOrdering", "Lean.Meta.Grind.Order.instLEWeight", "Decidable", "Ordering", "Ord.compare", "Lean.Meta.Grind.Order.instOrdWeight", "DecidableLE", "Lean.Meta.Grind.Order.Weight", "instDecidableAnd.match_1", "Lean.Meta.Grind.Order.instDecidableLEWe...
true
Module.supportDim_eq_bot_iff_subsingleton
Mathlib.RingTheory.KrullDimension.Module
[ "Order.krullDim_eq_bot_iff._simp_1", "CommRing", "WithBot", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "Membership.mem", "AddCommGroup", "Set.Elem", "Bot.bot", "Order.krullDim", "IsEmpty", "iff_self", "PrimeSpectrum.instPartialOrder"...
true
instIsPartialOrder_mathlib
Mathlib.Order.Defs.PartialOrder
[ "PartialOrder.toPreorder", "Std.IsPartialOrder", "Preorder.toLE", "PartialOrder", "Std.IsPartialOrder.mk", "PartialOrder.le_antisymm", "instIsPreorder_mathlib" ]
true
FiniteDimensional.orthonormalBasisSingleton_apply
Mathlib.Analysis.InnerProductSpace.PiL2
[ "Norm.norm", "InnerProductSpace.toNormedSpace", "Real", "FiniteDimensional.basisSingleton_apply", "congrArg", "AddCommGroup.toAddCommMonoid", "Unique", "NormedSpace.toModule", "NormedDivisionRing.toDivisionRing", "NormedField.toField", "instOfNatNat", "Module.Basis.instFunLike", "NormedField...
true
_private.Mathlib.NumberTheory.Pell.0.Pell.Solution₁.x_pow_pos._simp_1_1
Mathlib.NumberTheory.Pell
[ "Preorder.toLT", "One", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "ZeroLEOneClass", "zero_lt_one", "LT.lt", "True", "eq_true", "One.toOfNat1", "Zero.toOfNat0", "NeZero", "OfNat.ofNat", "Eq", "Zero" ]
false
AddMonoidHom.ofInjective._proof_3
Mathlib.Algebra.Group.Subgroup.Ker
[ "AddMonoidHom.rangeRestrict._proof_2", "AddSubmonoidClass.toAddZeroClass", "AddMonoid.toAddZeroClass", "AddMonoidHom.range", "AddMonoidHom.codRestrict", "Membership.mem", "AddZeroClass.toAddZero", "AddMonoidHom.ofInjective._proof_1", "Subtype", "AddSubgroupClass.toAddSubmonoidClass", "Subtype.ex...
false
AddCon.toSetoid_injective
Mathlib.GroupTheory.Congruence.Defs
[ "AddCon", "HEq.refl", "Eq.casesOn", "Setoid", "instHAdd", "AddCon.toSetoid", "HEq.casesOn", "HAdd.hAdd", "AddCon.add'", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Function.Injective", "AddCon.mk", "AddCon.casesOn", "Eq.symm", "Eq", "Add", "Setoid.r" ]
true
_private.Mathlib.NumberTheory.Cyclotomic.Basic.0.isCyclotomicExtension_iff_eq_adjoin._simp_1_6
Mathlib.NumberTheory.Cyclotomic.Basic
[ "exists_eq_right_right", "Exists", "And", "propext", "Eq" ]
false
_private.Mathlib.Data.EReal.Basic.0.EReal.le_coe_toReal._simp_1_1
Mathlib.Data.EReal.Basic
[ "OrderBot.toBot", "OrderBot", "Bot.bot", "LE.le", "LE", "True", "eq_true", "Eq", "bot_le" ]
false
AntivaryOn.mul_left
Mathlib.Algebra.Order.Monovary
[ "Preorder.toLT", "HMul.hMul", "CommMonoid.toCommSemigroup", "IsOrderedMonoid", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "PartialOrder", "MulOne.toMul", "DivInvMonoid.toMonoid", "AntivaryOn", "LE.le", "CommGroup", "Group.toDivInvMonoid", "Mul...
true
SSet.Truncated.instSetoidEdge
Mathlib.AlgebraicTopology.Quasicategory.TwoTruncated
[ "SSet.Truncated.Edge", "CategoryTheory.ObjectProperty.FullSubcategory.mk", "Opposite", "SSet.Truncated", "SSet.Truncated.Quasicategory₂._proof_1", "Setoid", "instOfNatNat", "LE.le", "instLENat", "SSet.Truncated.HomotopicL", "SimplexCategory.mk", "Opposite.op", "Nat", "Setoid.mk", "Catego...
true
Lean.Meta.Sym.reportIssueIfVerbose
Lean.Meta.Sym.SymM
[ "Pure.pure", "Lean.MessageData", "Lean.Meta.Sym.Context", "ReaderT.instMonad", "Lean.Meta.MetaM", "IO.RealWorld", "instDecidableEqBool", "Applicative.toPure", "Lean.Meta.Sym.SymM", "Bool.true", "Unit", "Lean.Meta.Sym.reportIssue", "Lean.Meta.instMonadMetaM", "StateRefT'", "StateRefT'.ins...
true
OrderAddMonoidHom.instAddOfIsOrderedAddMonoid._proof_2
Mathlib.Algebra.Order.Hom.Monoid
[ "AddMonoidHomClass.toAddMonoidHom", "ZeroHom.toFun", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "Monotone", "Preorder.toLE", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "OrderAddMonoidHom.monotone'", "OrderAddMonoidHom.instFunLike", "LE.le", "AddCommMonoid", "...
false
_private.Batteries.CodeAction.Misc.0.Batteries.CodeAction.casesExpand.match_21
Batteries.CodeAction.Misc
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Lean.Elab.TermInfo", "Array", "_private.Batteries.CodeAction.Misc.0.Batteries.CodeAction.instanceStub.collectFields._sparseCasesOn_1", "Option" ]
false
RestrictedProduct.instGroupCoeOfSubgroupClass._proof_3
Mathlib.Topology.Algebra.RestrictedProduct.Basic
[ "SetLike", "Monoid.toMulOneClass", "Group", "DivInvMonoid.toMonoid", "SubgroupClass.toSubmonoidClass", "Group.toDivInvMonoid", "SubgroupClass", "SubmonoidClass" ]
false
TrivSqZeroExt.liftEquiv._proof_3
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "instHSMul", "HMul.hMul", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AlgHom", "AlgHom.funLike", "AddMonoid.toAddZeroClass", "MulOpposite", "LinearMap.instFunLike", "Algebra", "AddZeroClass.toAddZero", "Algebra.toModule", "Subtype", "DistribSMul.toSMulZeroClass", "Linea...
false
_private.Init.Data.Dyadic.Basic.0.Int.trailingZeros._proof_5
Init.Data.Dyadic.Basic
[ "Nat.lt_of_not_le", "Int.instDiv", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "instHDiv", "HMul.hMul", "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.Omeg...
false
Finset.mulETransformRight
Mathlib.Combinatorics.Additive.ETransform
[ "instHSMul", "instSMulOfMul", "DivInvOneMonoid.toInvOneClass", "Finset.instUnion", "Monoid.toMulOneClass", "Finset", "MulOpposite", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "Finset.smulFinset", "MulOne.toMul", "DivInvMonoid.toMonoid", "Prod.mk", "Prod.fst", ...
true
Finsupp.multinomial_update
Mathlib.Data.Nat.Choose.Multinomial
[ "Finsupp.instFunLike", "Eq.mpr", "MulOne.toOne", "Nat.instMulZeroClass", "Nat.choose", "Function.update", "HMul.hMul", "Nat.multinomial", "congrArg", "Finsupp.notMem_support_iff", "HMul", "Finsupp.update_self", "Finset", "AddMonoid.toAddZeroClass", "Finsupp.multinomial", "Finsupp.sum",...
true
DistribMulActionHom.comp._proof_1
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "DistribMulActionHom", "MulActionSemiHomClass", "DistribMulActionHom.instFunLike", "MulOneClass.toMulOne", "AddMonoid", "DistribMulActionHom.instAddDistribAddActionSemiHomClassCoeAddMonoidHom", "Monoid.toSemigroup", "Distr...
false
Order.isSuccPrelimitRecOn.eq_1
Mathlib.Order.SuccPred.Limit
[ "Preorder.toLT", "Order.succ", "Order.IsSuccPrelimit", "PartialOrder.toPreorder", "Order.isSuccPrelimitRecOn._proof_1", "Classical.propDecidable", "Preorder.toLE", "cast", "Order.isSuccPrelimitRecOn._proof_3", "PartialOrder", "dite", "And", "Classical.choose", "Eq.refl", "Order.isSuccPre...
true
FirstOrder.Language.HomClass.map_rel
Mathlib.ModelTheory.Basic
[ "outParam", "Function.comp", "FirstOrder.Language.Structure.RelMap", "FirstOrder.Language.Structure", "FirstOrder.Language.HomClass", "Nat", "FirstOrder.Language.Relations", "FirstOrder.Language", "Fin", "DFunLike.coe", "FunLike" ]
true
Lean.Meta.Sym.Pattern.unify?
Lean.Meta.Sym.Pattern
[ "Lean.Meta.Sym.Pattern", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.main", "Lean.Expr", "Lean.Meta.Sym.MatchUnifyResult", "Lean.Meta.Sym.SymM", "Bool.true", "Bool", "optParam", "Option" ]
true
CategoryTheory.Limits.Cofork.isColimitCoforkPushoutEquivIsColimitForkOpPullback._proof_3
Mathlib.CategoryTheory.Limits.Shapes.Opposites.Equalizers
[ "CategoryTheory.Limits.pullback", "Opposite", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "Quiver.Hom.op", "CategoryTheory.Iso.op", "Quiver.Hom.unop", "CategoryTheory.Limits.instHasPushoutOppositeOpOfHasPullback", "CategoryTheory.Iso.refl", "CategoryT...
false
ProbabilityTheory.IdentDistrib.div_const
Mathlib.Probability.IdentDistrib
[ "MeasureTheory.Measure", "instHDiv", "MeasurableDiv.measurable_div_const", "MeasurableDiv", "HDiv.hDiv", "Div", "MeasurableSpace", "ProbabilityTheory.IdentDistrib", "ProbabilityTheory.IdentDistrib.comp" ]
true