name
stringlengths
2
347
module
stringlengths
6
90
deps
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0
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allowCompletion
bool
2 classes
DirectSum.gMulLHom._proof_4
Mathlib.Algebra.DirectSum.Algebra
[ "AddMonoid.toAddSemigroup", "DirectSum.GSemiring.toGNonUnitalNonAssocSemiring", "GradedMonoid.GMul.mul", "AddCommMonoid", "instHAdd", "AddSemigroup.toAdd", "DirectSum.GSemiring", "HAdd.hAdd", "AddMonoid", "AddCommSemigroup.toAddCommMagma", "DirectSum.GNonUnitalNonAssocSemiring.toGMul", "AddCom...
false
FreeMonoid.mem_symbols._simp_2
Mathlib.Algebra.FreeMonoid.Symbols
[ "FreeMonoid.instMembership", "FreeMonoid", "Finset", "Membership.mem", "FreeMonoid.mem_symbols", "Finset.instSetLike", "propext", "FreeMonoid.symbols", "Eq", "SetLike.instMembership", "DecidableEq" ]
false
_private.Mathlib.Tactic.Simproc.FinsetInterval.0.Finset.Ico_ofNat_ofNat._proof_1
Mathlib.Tactic.Simproc.FinsetInterval
[ "Qq.QuotedDefEq", "Lean.Expr.const", "Lean.Expr", "Lean.Expr.sort", "Lean.Level", "Prod.fst", "List.cons", "Lean.Literal.natVal", "Qq.Quoted", "Lean.Level.zero", "Qq.Quoted.unsafeMk", "Bool", "Lean.Name.mkStr2", "Lean.Expr.app", "Lean.Level.succ", "Prod", "Lean.Name.mkStr1", "Prod....
false
MeasureTheory.IsStoppingTime.measurableSpace_mono
Mathlib.Probability.Process.Stopping
[ "Set.ext", "Eq.mpr", "MeasureTheory.IsStoppingTime", "MeasurableSpace.instLE", "MeasurableSet", "MeasureTheory.Filtration.seq", "WithTop.instPreorder", "congrArg", "setOf", "Preorder.toLE", "Membership.mem", "MeasureTheory.Filtration", "id", "LE.le", "Set.instInter", "WithTop.some", ...
true
MeasureTheory.Measure.InnerRegularCompactLTTop.instInnerRegularOfSigmaFinite
Mathlib.MeasureTheory.Measure.Regular
[ "MeasureTheory.Measure", "MeasurableSet", "MeasureTheory.SigmaFinite", "MeasureTheory.Measure.InnerRegularWRT.of_sigmaFinite", "MeasureTheory.Measure.InnerRegularWRT.trans", "Ne", "MeasurableSpace", "TopologicalSpace", "MeasureTheory.Measure.InnerRegularCompactLTTop.innerRegular", "And", "ENNRea...
true
BoundedContinuousFunction.instAlgebra._proof_2
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "NormedRing.toRing", "BoundedContinuousFunction.ext", "HMul.hMul", "Ring.toNonAssocRing", "IsTopologicalRing.toIsTopologicalSemiring", "BoundedContinuousFunction.C._proof_3", "CommSemiring.toSemiring", "IsTopologicalSemiring.toContinuousMul", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "A...
false
Std.Iterators.Types.FilterMap._sizeOf_1
Init.Data.Iterators.Combinators.Monadic.FilterMap
[ "instOfNatNat", "instHAdd", "Std.Iterators.Types.FilterMap", "HAdd.hAdd", "Nat", "Std.Iterators.Types.FilterMap.rec", "SizeOf.sizeOf", "Std.Iterators.PostconditionT", "instAddNat", "Std.IterM._sizeOf_inst", "Std.IterM", "SizeOf", "OfNat.ofNat", "Option" ]
false
Std.DTreeMap.Internal.Impl.Const.get.congr_simp
Std.Data.DTreeMap.Internal.Model
[ "Ord", "Eq.rec", "Std.DTreeMap.Internal.Impl.Const.get", "Bool.true", "Std.DTreeMap.Internal.Impl.contains", "Bool", "Eq.ndrec", "Eq.refl", "Eq", "Std.DTreeMap.Internal.Impl" ]
true
Lean.Grind.CommRing.Mon.concat._unsafe_rec
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Power", "Lean.Grind.CommRing.Mon.denote.match_1", "Lean.Grind.CommRing.Mon.mult", "Unit", "Lean.Grind.CommRing.Mon.concat._unsafe_rec", "Lean.Grind.CommRing.Mon" ]
false
TopologicalSpace.Opens.mem_inf._simp_1
Mathlib.Topology.Sets.Opens
[ "TopologicalSpace.Opens.instCompleteLattice", "TopologicalSpace.Opens.mem_inf", "TopologicalSpace.Opens", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "SemilatticeInf.toMin", "TopologicalSpace.Opens.instSetLike", "TopologicalSpace", "And", "propext", "ConditionallyComplete...
false
LinearMap.single_eq_pi_diag
Mathlib.LinearAlgebra.Pi
[ "LinearMap.id", "Eq.mpr", "Pi.addCommMonoid", "Function.update", "LinearMap.ext", "HEq.refl", "Pi.module", "LinearMap.instFunLike", "LinearMap.single", "Eq.casesOn", "Pi.instZero", "LinearMap", "AddCommMonoid", "LinearMap.pi", "funext", "LinearMap.update_apply", "eq_of_heq", "Eq.nd...
true
AddSubgroup.toAddCommGroup._proof_1
Mathlib.Algebra.Group.Subgroup.Defs
[ "AddCommGroup.toAddGroup", "AddCommGroup", "AddSubgroup", "AddGroup.toSubNegMonoid", "AddSubgroup.instSetLike", "AddSubgroup.instAddSubgroupClass", "AddSubgroupClass" ]
false
Real.neg_one_le_sin
Mathlib.Analysis.Complex.Trigonometric
[ "NegZeroClass.toNeg", "Real.instLE", "Real", "abs", "abs_le", "PartialOrder.toPreorder", "Preorder.toLE", "AddCommGroup.toAddGroup", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "Real.instAd...
true
CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMop_obj_unmop_obj
Mathlib.CategoryTheory.Monoidal.Action.End
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.MonoidalOpposite", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj", "CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedAct...
true
LieAlgebra.IsKilling.lie_eq_smul_of_mem_rootSpace
Mathlib.Algebra.Lie.Weights.Killing
[ "LieHom", "LieAlgebra.toModule", "Module.End.instRing", "LieSubalgebra.lieAlgebra", "PerfectField", "LieSubmodule.instSetLike", "Submodule", "instHSMul", "instSMulOfMul", "LieAlgebra.IsKilling", "LieRing.toAddCommGroup", "LieSubalgebra.instSetLike", "congrArg", "CommSemiring.toSemiring", ...
true
_private.Mathlib.NumberTheory.MulChar.Basic.0.MulChar.trivial._simp_3
Mathlib.NumberTheory.MulChar.Basic
[ "IsUnit.mul_iff", "Monoid", "HMul.hMul", "Monoid.toMulOneClass", "IsUnit", "MulOne.toMul", "IsDedekindFiniteMonoid", "MulOneClass.toMulOne", "And", "propext", "Eq", "instHMul" ]
false
Rat.toNNRat_lt_toNNRat_iff'
Mathlib.Data.NNRat.Defs
[ "Rat.instOfNat", "False", "Preorder.toLT", "Lattice.toSemilatticeSup", "congrArg", "lt_sup_iff._simp_3", "Rat", "PartialOrder.toPreorder", "Rat.linearOrder", "lt_self_iff_false._simp_1", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "NNRat", "LE.le"...
true
MeasureTheory.Measure.support
Mathlib.MeasureTheory.Measure.Support
[ "MeasureTheory.Measure", "Preorder.toLT", "Filter.smallSets", "PartialOrder.toPreorder", "setOf", "nhds", "Filter.Frequently", "MeasurableSpace", "TopologicalSpace", "LT.lt", "ENNReal", "ENNReal.instPartialOrder", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "DFunLike.coe", "M...
true
_private.Mathlib.RingTheory.Ideal.Cotangent.0.Ideal.cotangentEquivIdeal_symm_apply._simp_1_1
Mathlib.RingTheory.Ideal.Cotangent
[ "Subtype", "Subtype.ext_iff", "propext", "Subtype.val", "Eq" ]
false
CauSeq.coe_pow._simp_1
Mathlib.Algebra.Order.CauSeq.Basic
[ "LinearOrder", "IsStrictOrderedRing", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "Pi.instPow", "Field.toSemifield", "Monoid.toPow", "Semifield.toDivisionSemiring", "HPow.hPow", "CauSeq.coe_pow", "Nat", "Semiring.toMonoid", "IsAbsoluteValue", "CauSeq", "DivisionSemiring....
false
MonoidHom.subgroupOf_range_eq_of_le
Mathlib.Algebra.Group.Subgroup.Ker
[ "MonoidHom.range", "Subgroup.subgroupOf", "Subgroup.instSubgroupClass", "MonoidHom.instFunLike", "MonoidHom", "_private.Mathlib.Algebra.Group.Subgroup.Ker.0.MonoidHom.subgroupOf_range_eq_of_le._simp_1_1", "Monoid.toMulOneClass", "congrArg", "Subgroup.subtype", "PartialOrder.toPreorder", "Group",...
true
essInf_cond_count_eq_ciInf
Mathlib.MeasureTheory.Function.EssSup
[ "Eq.mpr", "MeasureTheory.Measure", "ProbabilityTheory.cond_apply", "iInf", "HMul.hMul", "MeasurableSet", "ENat.card_eq_top._simp_1", "MeasureTheory.Measure.count_singleton'", "instTopENat", "ENat.toENNReal_eq_top._simp_1", "congrArg", "CommSemiring.toSemiring", "essInf_eq_ciInf", "Set.mem_...
true
Valuation.IsRankOneDiscrete.recOn
Mathlib.RingTheory.Valuation.Discrete.Basic
[ "GroupWithZero.toMonoidWithZero", "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "Preorder.toLT", "ValuationClass.toMonoidWithZeroHomClass", "PartialOrder.toPreorder", "Valuation.IsRankOneDiscrete.mk", "LinearOrderedCommMonoidWithZero.toLinearOrder", "Exists", "SemilatticeInf.to...
false
MeasureTheory.Measure.exists_eq_disjoint_finiteSpanningSetsIn
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
[ "MeasureTheory.Measure.FiniteSpanningSetsIn.ofLE", "MeasureTheory.Measure", "le_rfl", "ChainCompletePartialOrder.instOfCompleteLattice", "MeasurableSet", "Function.onFun", "CompleteBooleanAlgebra.toCompleteDistribLattice", "MeasureTheory.SigmaFinite", "PartialOrder.toPreorder", "setOf", "Boolean...
true
Std.Tactic.BVDecide.BVExpr.casesOn
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "Std.Tactic.BVDecide.BVExpr.extract", "HMul.hMul", "Std.Tactic.BVDecide.BVExpr.bin", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVUnOp", "BitVec", "instMulNat", "Std.Tactic.BVDecide.BVExpr.shiftLeft", "instHAdd", "Std.Tactic.BVDecide.BVExpr.arithShiftRight", "Std.Tactic.BVDecide.BVExpr....
false
RingHom.op._proof_1
Mathlib.Algebra.Ring.Opposite
[ "NonAssocSemiring.toAddCommMonoidWithOne", "MulOne.toOne", "Function.LeftInverse", "RingHom.mk", "Equiv.instEquivLike", "MonoidHom", "ZeroHom.toFun", "OneHom.mk", "AddMonoid.toAddZeroClass", "MulOpposite", "ZeroHom.map_zero'", "RingHom", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", ...
false
_private.Mathlib.Analysis.LocallyConvex.SeparatingDual.0.ContinuousLinearEquiv.conjContinuousAlgEquiv_ext_iff._simp_1_1
Mathlib.Analysis.LocallyConvex.SeparatingDual
[ "Algebra", "ContinuousAlgEquiv.equivLike", "ContinuousAlgEquiv.ext_iff", "CommSemiring", "TopologicalSpace", "propext", "Semiring", "ContinuousAlgEquiv", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
false
FirstOrder.Language.StrongHomClass.toEquiv._proof_1
Mathlib.ModelTheory.Basic
[ "FirstOrder.Language.StrongHomClass", "Function.comp", "FirstOrder.Language.Structure", "EquivLike", "Nat", "FirstOrder.Language.Functions", "FirstOrder.Language", "FirstOrder.Language.Structure.funMap", "Fin", "Eq", "DFunLike.coe", "FirstOrder.Language.StrongHomClass.map_fun", "EquivLike.to...
false
Submodule.fg_finset_sup
Mathlib.RingTheory.Finiteness.Basic
[ "Submodule", "Lattice.toSemilatticeSup", "Finset.sup_induction", "Finset", "Submodule.completeLattice", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Submodule.FG", "AddCommMonoid", "Finset.instSetLike", "Semiring", "Finset.sup", "ConditionallyCompleteLattice.toLattice...
true
_private.Mathlib.Analysis.Complex.Isometry.0.toMatrix_rotation._simp_1
Mathlib.Analysis.Complex.Isometry
[ "Real", "HMul.hMul", "Complex.im", "MonoidWithZeroHom.funLike", "Real.semiring", "Complex.normSq", "Real.instAdd", "Complex.re", "instMulZeroOneClassOfSemiring", "instHAdd", "MonoidWithZeroHom", "HAdd.hAdd", "Real.instMul", "Complex.normSq_apply", "Complex", "Eq.symm", "Eq", "DFunL...
false
Std.DHashMap.Internal.exists_bucket_of_uset
Std.Data.DHashMap.Internal.Model
[ "Std.DHashMap.Internal.AssocList.toList", "Eq.mpr", "_private.Std.Data.DHashMap.Internal.Model.0.Std.DHashMap.Internal.exists_bucket_of_uset._simp_1_2", "List.getElem_append_right'", "congrArg", "Std.DHashMap.Internal.mkIdx", "Array.instGetElemUSizeLtNatToNatSize", "Exists", "Eq.rec", "id", "_pr...
true
_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.ExpandedField.ctorIdx
Lean.Elab.StructInst
[ "_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.ExpandedField", "Nat" ]
false
_private.Mathlib.Tactic.DeriveEncodable.0.Mathlib.Deriving.Encodable.mkEncodableCmds.match_1
Mathlib.Tactic.DeriveEncodable
[ "String", "Nat.hasNotBit", "Lean.Name.ctorIdx", "Lean.Name.str", "Lean.Name", "_private.Mathlib.Tactic.DeriveEncodable.0.Mathlib.Deriving.Encodable.mkEncodableCmds._sparseCasesOn_1" ]
false
Batteries.RBNode.cmpLT.trans_r
Batteries.Data.RBMap.WF
[ "Batteries.RBNode", "Ordering", "Batteries.RBNode.cmpLT", "Batteries.RBNode.cmpLT.trans", "Batteries.RBNode.All.imp", "Batteries.RBNode.All" ]
true
ProbabilityTheory.stdGaussian.eq_1
Mathlib.Probability.Distributions.Gaussian.Multivariate
[ "InnerProductSpace.toNormedSpace", "Real", "instHSMul", "MeasureTheory.Measure", "Finset.univ", "Real.instZero", "Real.instRCLike", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "ProbabilityThe...
true
Ordinal.nat_le_card._simp_1
Mathlib.SetTheory.Ordinal.Basic
[ "Ordinal.partialOrder", "Cardinal", "PartialOrder.toPreorder", "Ordinal.nat_le_card", "Preorder.toLE", "AddMonoidWithOne.toNatCast", "LE.le", "Nat.cast", "Cardinal.instLE", "Ordinal.addMonoidWithOne", "Ordinal.card", "Nat", "propext", "Eq", "Cardinal.instNatCast", "Ordinal" ]
false
_private.Mathlib.RepresentationTheory.Rep.Basic.0.Rep.Hom.mk
Mathlib.RepresentationTheory.Rep.Basic
[ "Monoid", "Rep.V", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "Rep.hV1", "Rep", "_private.Mathlib.RepresentationTheory.Rep.Basic.0.Rep.Hom.mk", "Rep.ρ", "Semiring", "Rep.Hom", "Representation.IntertwiningMap" ]
true
AddQuantale.noConfusionType
Mathlib.Algebra.Order.Quantale
[ "AddQuantale", "IsAddQuantale", "AddSemigroup", "AddQuantale.casesOn", "CompleteLattice" ]
false
Units.zero_notMem_spectrum._simp_1
Mathlib.Algebra.Algebra.Spectrum.Basic
[ "Units.val", "False", "eq_false", "spectrum", "CommSemiring.toSemiring", "Algebra", "Membership.mem", "Units", "CommSemiring", "Units.zero_notMem_spectrum", "Semiring.toMonoid", "Zero.toOfNat0", "OfNat.ofNat", "Ring.toSemiring", "Eq", "Set.instMembership", "Ring", "MulZeroClass.toZ...
false
round_le
Mathlib.Algebra.Order.Round
[ "sub_neg", "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "add_sub_assoc", "AddGroup.toSubtractionMonoid", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "neg_sub", "Preorder.toLT", "Lattice.toSemilatticeSup", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "_private.Mathlib.Alge...
true
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.MkPreResultResult.success.injEq
Lean.Meta.Sym.Pattern
[ "Eq.propIntro", "Lean.MVarId", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.MkPreResultResult.success", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.MkPreResultResult", "Array", "Eq.ndrec", "Eq.refl", "Eq", "_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.MkPreResultResult.success.inj" ]
true
CochainComplex.truncateAugment._proof_5
Mathlib.Algebra.Homology.Augment
[ "HomologicalComplex.hom_ext", "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "CochainComplex.truncate", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "HomologicalComplex.Hom.mk", "AddRightCancelSemigro...
false
DerivedCategory.IsLE
Mathlib.Algebra.Homology.DerivedCategory.TStructure
[ "instCategoryDerivedCategory", "DerivedCategory.instHasZeroObject", "DerivedCategory", "CategoryTheory.Triangulated.TStructure.IsLE", "CategoryTheory.Abelian", "Int", "DerivedCategory.instHasShiftInt", "DerivedCategory.instPreadditive", "DerivedCategory.TStructure.t", "DerivedCategory.instAdditive...
true
_private.Mathlib.LinearAlgebra.SesquilinearForm.Basic.0.LinearMap.isPosSemidef_def.match_1_1
Mathlib.LinearAlgebra.SesquilinearForm.Basic
[ "Algebra.to_smulCommClass", "Semiring.toModule", "CommSemiring.toSemiring", "RingHom", "Algebra.id", "LinearMap.IsNonneg", "LinearMap.module", "LinearMap", "LinearMap.IsSymm", "LE", "AddCommMonoid", "And.casesOn", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "And", "Non...
false
Asymptotics.isLittleO_const_mul_left_iff'
Mathlib.Analysis.Asymptotics.Defs
[ "SeminormedRing.toNorm", "HMul.hMul", "IsUnit", "SeminormedRing.toRing", "Norm", "Asymptotics.IsLittleO.const_mul_left", "instDistribOfSemiring", "Iff", "Distrib.toMul", "Asymptotics.isBigO_self_const_mul'", "Iff.intro", "Semiring.toMonoid", "NonUnitalSeminormedRing.toSeminormedAddCommGroup"...
true
Std.DTreeMap.Internal.Impl.Const.get_insertMany_list.match_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Option.casesOn", "Option.some", "Option.none", "Eq.refl", "Eq", "Option" ]
false
CategoryTheory.Limits.preservesCoequalizers_of_preservesPushouts_and_binaryCoproducts
Mathlib.CategoryTheory.Limits.Constructions.Equalizers
[ "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Limits.pushout.inr_desc", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.Limits.Cocone", "CategoryTheory.Functor.mapCocone", "CategoryTheory.L...
true
IsTopologicallyNilpotent.mul_right_of_commute
Mathlib.Topology.Algebra.TopologicallyNilpotent
[ "Eq.mpr", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "MulOpposite", "IsTopologicallyNilpotent", "Commute", "nhds", "IsLinearTopology.tendsto_mul_zero_of_left", "id", "MulOne.toMul", "instDistribOfSemiring", "Monoid.toPow", "Filter.atTop", "TopologicalSpace", "funext", "MulOneCl...
true
Lean.Compiler.LCNF.simpCase
Lean.Compiler.LCNF.SimpCase
[ "_private.Lean.Compiler.LCNF.SimpCase.0.Lean.Compiler.LCNF.Decl.simpCase", "Lean.Compiler.LCNF.Phase.impure", "instOfNatNat", "Nat", "Lean.Compiler.LCNF.Pass", "Lean.Compiler.LCNF.Pass.mkPerDeclaration", "OfNat.ofNat", "Lean.Name.mkStr1" ]
true
AlgebraicGeometry.Scheme.Hom.comp_toLRSHom
Mathlib.AlgebraicGeometry.Scheme
[ "AlgebraicGeometry.Scheme.Hom.toLRSHom", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.LocallyRingedSpace.instQuiver", "AlgebraicGeometry.LocallyRingedSpace", "CategoryTheory.CategoryStruct.comp", "AlgebraicGeometry.LocallyRingedSpace.instCatego...
true
MeasureTheory.IntegrableAtFilter.eq_1
Mathlib.MeasureTheory.Integral.IntegrableOn
[ "Filter.instMembership", "MeasureTheory.Measure", "Membership.mem", "Exists", "MeasureTheory.IntegrableOn", "ContinuousENorm", "MeasureTheory.IntegrableAtFilter", "MeasurableSpace", "TopologicalSpace", "And", "Eq.refl", "Eq", "Filter", "Set" ]
true
Real.posLog_zero
Mathlib.Analysis.SpecialFunctions.Log.PosLog
[ "Real", "Real.posLog", "Real.instZero", "congrArg", "max_self", "Real.log", "Real.instMax", "Max.max", "True", "eq_self", "of_eq_true", "Zero.toOfNat0", "congrFun'", "OfNat.ofNat", "Eq", "Real.log_zero", "Real.linearOrder", "Eq.trans" ]
true
LowerSemicontinuousOn
Mathlib.Topology.Semicontinuity.Defs
[ "Preorder.toLT", "TopologicalSpace", "GT.gt", "SemicontinuousOn", "Preorder", "Set" ]
true
_private.Mathlib.RingTheory.Ideal.Quotient.PowTransition.0.Ideal.Quotient.factor_ker._simp_1_3
Mathlib.RingTheory.Ideal.Quotient.PowTransition
[ "Submodule.Quotient.instZeroQuotient", "Semiring.toModule", "Ideal.Quotient.mk", "RingHom", "Membership.mem", "Ideal.IsTwoSided", "Ideal", "Ideal.Quotient.eq_zero_iff_mem", "NonUnitalNonAssocSemiring.toAddCommMonoid", "HasQuotient.Quotient", "Ideal.Quotient.ring", "RingHom.instFunLike", "Ide...
false
_private.Lean.Elab.Task.0.Lean.Elab.Tactic.TacticM.asTask.match_3
Lean.Elab.Task
[ "Task", "Prod.mk", "Unit", "Lean.Elab.Term.TermElabM", "Prod", "Prod.casesOn", "BaseIO", "Lean.Elab.Tactic.State" ]
false
DirectLimit.map₀AddMonoidHom._proof_1
Mathlib.Algebra.Colimit.DirectLimit
[ "Preorder.toLE", "AddZeroClass.toAddZero", "DirectLimit.instZero", "Pi.instZero", "AddMonoidHomClass", "LE.le", "DirectLimit", "DirectLimit.map₀", "AddZero.toZero", "DirectLimit.map₀_zero", "AddZeroClass", "IsDirectedOrder", "Nonempty", "Zero.toOfNat0", "DirectedSystem", "AddMonoidHomC...
false
MeasureTheory.OuterMeasure.map_mono
Mathlib.MeasureTheory.OuterMeasure.Operations
[ "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Monotone", "LinearMap.instFunLike", "Preorder.toLE", "MeasureTheory.OuterMeasure", "Algebra.id", "ENNReal.instCommSemiring", "LE.le", "LinearMap", "MeasureTheory.OuterMeasure.map", "MeasureTh...
true
_private.Mathlib.Combinatorics.Colex.0.Finset.Colex.toColex_le_singleton._simp_1_1
Mathlib.Combinatorics.Colex
[ "Equiv.instEquivLike", "Colex", "Finset.Colex.instLE", "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "PartialOrder", "Equiv", "Finset.Colex.toColex_le_toColex", "LE.le", "And", "Finset.instSetLike", "propext", "toColex", "Eq", "DFunLike.coe", "...
false
_private.Lean.DocString.Markdown.0.Lean.Doc.trimRight.go.match_1
Lean.DocString.Markdown
[ "String", "Prod.mk", "Prod", "Prod.casesOn", "Lean.Doc.Inline" ]
false
_private.Mathlib.LinearAlgebra.RootSystem.BaseExists.0.RootPairing.baseOf_root_eq_baseOf_coroot_aux._simp_1_3
Mathlib.LinearAlgebra.RootSystem.BaseExists
[ "Submodule", "CommRing", "LinearMap.BilinForm", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "Submodule.addCommMonoid", "LinearOrder", "AddMonoid.toAddZeroClass", "RootPairing.RootPositiveForm.posForm", "IsStrictOrderedRing", "...
false
_private.Mathlib.Algebra.Lie.Sl2.0.IsSl2Triple.HasPrimitiveVectorWith.pow_toEnd_f_eq_zero_of_eq_nat._proof_1_2
Mathlib.Algebra.Lie.Sl2
[ "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "smulCommClass_self", "CommRing.toCommSemiring", "CommMonoid.toMonoid", "Monoid.toSemigroup", "Module.toDistribMulAction", "SemigroupAction.toSMul", "AddCommMonoid.toAddMonoid", "Module", "CommRing.toCommM...
false
List.Ico.filter_lt_of_le_bot
Mathlib.Data.List.Intervals
[ "Iff.mpr", "Eq.mpr", "congrArg", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "List.filter_eq_nil_iff", "id", "LE.le", "instLENat", "Bool.true", "List", "And", "List.instMembership", "And.left", "Nat.instPreorder", "Nat", "List.filter", "LT.lt", "_private.Mathl...
true
MonoidHom.mk'._proof_1
Mathlib.Algebra.Group.Hom.Defs
[ "Eq.mpr", "MulOne.toOne", "CancelMonoid.toRightCancelMonoid", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "Group", "id", "MulOne.toMul", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "RightCancelMonoid.toRightCancelSemigroup", "MulOneClass.toMulOne", "propext", "One.toOfNat1", ...
false
_private.Lean.Meta.LitValues.0.Lean.Meta.normLitValue.match_5
Lean.Meta.LitValues
[ "_private.Lean.Meta.LitValues.0.Lean.Meta.getNatValue?._sparseCasesOn_1", "Option.ctorIdx", "Option.some", "BitVec", "Nat.hasNotBit", "Nat", "Sigma.mk", "Sigma.casesOn", "Sigma", "Option" ]
false
Set.Finite.summable
Mathlib.Topology.Algebra.InfiniteSum.Basic
[ "Finset.summable", "congrArg", "Finset", "Set.Finite", "Function.comp", "Membership.mem", "Eq.mp", "Set.Elem", "Set.Finite.coe_toFinset", "AddCommMonoid", "TopologicalSpace", "SetLike.coe", "Finset.instSetLike", "Set.Finite.toFinset", "Summable", "Subtype.val", "Set.instMembership", ...
true
_private.Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence.0.Mathlib.Tactic.BicategoryLike.naturality.match_3
Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence
[ "Mathlib.Tactic.BicategoryLike.Mor₂Iso.comp", "Mathlib.Tactic.BicategoryLike.Mor₂Iso.horizontalComp", "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Mathlib.Tactic.BicategoryLike.CoherenceHom", "Mathlib.Tactic.BicategoryLike.Mor₂Iso.of", "Mathlib.Tactic.BicategoryLike.Mor₂Iso.structuralAtom", "Lean.Expr", ...
false
HasFDerivWithinAt.union
Mathlib.Analysis.Calculus.FDeriv.Basic
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "nhdsWithin", "AddMonoid.toAddZeroClass", "Asymptotics.IsLittleOTVS", "HSub.hSub", "_private.Mathlib.Analysis.Calculus.FDeriv.Basic.0.HasF...
true
SSet.prodStdSimplex.objEquiv.match_1
Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplex
[ "Opposite", "CategoryTheory.typesCartesianMonoidalCategory", "CategoryTheory.Functor.category", "Prod.mk", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "SSet", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "SSet.stdSimplex", "SimplexCategory.mk", "Opposite.op", "...
false
CategoryTheory.CommRingObjCat.hom_ext
Mathlib.CategoryTheory.Monoidal.Ring
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CommRingObjCat.X", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CommRingObjCat.Hom.ext", "CategoryTheory.CommRingObjCat.instCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheo...
true
CategoryTheory.ObjectProperty.IsConservativeFamilyOfPoints.jointlyReflectIsomorphisms_type
Mathlib.CategoryTheory.Sites.Point.Conservative
[ "CategoryTheory.Limits.Types.hasColimitsOfSize", "CategoryTheory.JointlyReflectIsomorphisms", "CategoryTheory.Functor", "Opposite", "CategoryTheory.GrothendieckTopology.Point", "CategoryTheory.ObjectProperty.IsConservativeFamilyOfPoints", "CategoryTheory.Functor.category", "CategoryTheory.Grothendieck...
true
_private.Mathlib.Analysis.Normed.MulAction.0.Metric.smul_image_sphere._simp_1_1
Mathlib.Analysis.Normed.MulAction
[ "Real", "Metric.ball", "SDiff.sdiff", "PseudoMetricSpace", "Metric.closedBall_diff_ball", "Metric.closedBall", "Eq.symm", "Eq", "Set.instSDiff", "Metric.sphere", "Set" ]
false
Lean.Elab.Command.InductiveElabStep3.mk.inj
Lean.Elab.MutualInductive
[ "Lean.Elab.Command.InductiveElabStep3", "Unit", "Lean.Elab.Term.TermElabM", "Eq", "Lean.Elab.Command.InductiveElabStep3.mk.noConfusion", "Lean.Elab.Command.InductiveElabStep3.mk" ]
true
IndexedPartition.some_mem
Mathlib.Data.Setoid.Partition
[ "IndexedPartition", "IndexedPartition.some", "Membership.mem", "Set.instMembership", "Set" ]
true
Std.DHashMap.Internal.bucket_eq
Std.Data.DHashMap.Internal.Model
[ "Std.DHashMap.Internal.mkIdx", "Array.instGetElemUSizeLtNatToNatSize", "instOfNatNat", "Array", "GetElem.getElem", "USize.toNat", "Hashable.hash", "Nat", "LT.lt", "Std.DHashMap.Internal.bucket", "Std.DHashMap.Internal.AssocList", "Hashable", "instLTNat", "OfNat.ofNat", "Subtype.val", "...
true
AdicCompletion.of._proof_5
Mathlib.RingTheory.AdicCompletion.Basic
[ "Submodule", "Submodule.Quotient.addCommMonoid", "CommRing", "instHSMul", "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Submodule.hasQuotient", "Ad...
false
Submonoid.instCompleteLattice._proof_1
Mathlib.Algebra.Group.Submonoid.Basic
[ "IsGLB.of_image", "PartialOrder.toPreorder", "Preorder.toLE", "Submonoid.instInfSet", "isGLB_biInf", "SetLike.coe_subset_coe", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toPartialOrder", "SetLike.coe", "instIsConcreteLE", "Submonoid.instPartialOrder", "IsGLB", "Compl...
false
_private.Mathlib.SetTheory.ZFC.Ordinal.0.ZFSet.IsOrdinal.subset_iff_eq_or_mem._simp_1_1
Mathlib.SetTheory.ZFC.Ordinal
[ "Membership.mem", "SDiff.sdiff", "And", "Set.mem_diff", "propext", "Eq", "Set.instMembership", "Not", "Set.instSDiff", "Set" ]
false
coinduced_id
Mathlib.Topology.Order
[ "id", "TopologicalSpace.ext", "TopologicalSpace.coinduced", "TopologicalSpace", "IsOpen", "Eq", "rfl", "Set" ]
true
Pointed.Hom.mk.noConfusion
Mathlib.CategoryTheory.Category.Pointed
[ "Pointed.Hom", "Pointed.Hom.mk", "Pointed", "id", "Pointed.point", "heq_of_eq", "Eq.refl", "HEq", "Pointed.X", "Eq", "Pointed.Hom.noConfusion" ]
false
instMonadControlTOfPure
Init.Control.Basic
[ "Pure.pure", "MonadControlT.mk", "Pure", "MonadControlT" ]
true
ProofWidgets.RpcEncodablePacket.mk.«_@».ProofWidgets.Component.FilterDetails.2598060976._hygCtx._hyg.1.noConfusion
ProofWidgets.Component.FilterDetails
[ "Lean.Json", "id", "ProofWidgets.RpcEncodablePacket.mk._@.ProofWidgets.Component.FilterDetails.2598060976._hygCtx._hyg.1", "ProofWidgets.RpcEncodablePacket.«_@».ProofWidgets.Component.FilterDetails.2598060976._hygCtx._hyg.1.noConfusion", "ProofWidgets.RpcEncodablePacket._@.ProofWidgets.Component.FilterDetai...
false
Set.image_subtype_val_Iio_Iic
Mathlib.Order.Interval.Set.Image
[ "Membership.mem", "Set.Elem", "Subtype", "Set.image_subtype_val_Ioi_Ici", "Set.image", "Set.Iic", "OrderDual", "OrderDual.instPreorder", "Subtype.val", "Set.Iio", "Eq", "Set.instMembership", "Preorder", "Subtype.preorder", "Set" ]
true
CategoryTheory.Abelian.SpectralObject.πE_d_ιE_assoc
Mathlib.Algebra.Homology.SpectralObject.Differentials
[ "CategoryTheory.Category.assoc", "CategoryTheory.Abelian.SpectralObject.E", "CategoryTheory.Abelian.SpectralObject.cycles", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Abelian.SpectralObject.Ψ", "CategoryTheory.Abelian.SpectralObject.πE_d_ιE._auto_5", "Categor...
true
Set.Ici_injective
Mathlib.Order.Interval.Set.Basic
[ "Set.Ici", "PartialOrder.toPreorder", "eq_of_forall_ge_iff", "Preorder.toLE", "Function.comp", "Membership.mem", "PartialOrder", "LE.le", "Iff", "Iff.mp", "Set.ext_iff", "Function.Injective", "Eq", "Set.instMembership", "Set" ]
true
DFinsupp.mapRange.addEquiv
Mathlib.Data.DFinsupp.Defs
[ "AddEquiv.toAddMonoidHom", "DFinsupp.mapRange.addEquiv._proof_3", "DFinsupp.mapRange.addEquiv._proof_4", "AddZeroClass.toAddZero", "Equiv.mk", "DFinsupp.addZeroClass", "DFinsupp.mapRange", "DFinsupp.mapRange.addEquiv._proof_2", "DFinsupp.mapRange.addEquiv._proof_1", "AddZero.toZero", "AddZeroCla...
true
CategoryTheory.NatIso.naturality_2_assoc
Mathlib.CategoryTheory.NatIso
[ "CategoryTheory.Category.assoc", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "Eq.mp", "id", "CategoryTheory.Iso", "Mathlib.Tactic.Reassoc.eq_whisker'", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStr...
true
Algebra.iSup_induction'
Mathlib.Algebra.Algebra.Subalgebra.Lattice
[ "Subalgebra.instSetLike", "NonAssocSemiring.toAddCommMonoidWithOne", "AddSubmonoidClass.toAddMemClass", "HMul.hMul", "Algebra.algebraMap", "CommSemiring.toSemiring", "iSup", "SubsemiringClass.toAddSubmonoidClass", "AddMonoid.toAddZeroClass", "Algebra.instCompleteLatticeSubalgebra", "Algebra", ...
true
Asymptotics.isLittleO_zero_right_iff
Mathlib.Analysis.Asymptotics.Defs
[ "Iff.mpr", "Asymptotics.isBigO_zero_right_iff", "Real", "SeminormedAddCommGroup", "Asymptotics.isBigOWith_zero_right_iff", "Asymptotics.IsBigOWith", "Real.instZero", "Asymptotics.IsBigO", "Asymptotics.IsLittleO.of_isBigOWith", "Real.instLT", "Filter.EventuallyEq", "Pi.instZero", "Subtraction...
true
CategoryTheory.Functor.mapTriangleIdIso_inv_app_hom₁
Mathlib.CategoryTheory.Triangulated.Functor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.CommShift.id", "CategoryTheory.Pretriangulated.Triangle.obj₁", "CategoryTheory.Functor.category", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "Int", "Int.instAddMonoid", ...
true
Homeomorph.isOpen_preimage._simp_1
Mathlib.Topology.Homeomorph.Defs
[ "TopologicalSpace", "Homeomorph.instEquivLike", "Set.preimage", "propext", "Homeomorph", "IsOpen", "Eq", "DFunLike.coe", "Homeomorph.isOpen_preimage", "EquivLike.toFunLike", "Set" ]
false
_private.Mathlib.Order.CompactlyGenerated.Basic.0.iSupIndep.iInf._proof_1_2
Mathlib.Order.CompactlyGenerated.Basic
[ "Lean.Grind.of_eq_eq_true", "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "False", "iInf", "eq_false", "Finset.card_eq_one", "Lean.Grind.iff_eq", "congrArg", "Int.Linear.le_norm_expr", "Finset", "False.elim", "Classical.byContradiction", "PartialOrder.toPreorder", "Nat.not_le_eq", ...
false
AddMonoidAlgebra.domCongr_support
Mathlib.Algebra.MonoidAlgebra.Basic
[ "Finsupp.mem_support_iff", "Finsupp.instFunLike", "AddMonoidAlgebra.semiring", "Equiv.instEquivLike", "congrArg", "Finset", "AddMonoid.toAddZeroClass", "AddMonoidAlgebra.algebra", "Algebra", "Finset.ext", "Finsupp.support", "Finset.map", "Membership.mem", "AddZeroClass.toAddZero", "Equiv...
true
inv_pow
Mathlib.Algebra.Group.Basic
[ "DivInvOneMonoid.toInvOneClass", "DivisionMonoid.toDivInvOneMonoid", "inv_pow._f", "DivisionMonoid", "Nat.brecOn", "DivInvMonoid.toMonoid", "DivisionMonoid.toDivInvMonoid", "Monoid.toPow", "Inv.inv", "HPow.hPow", "Nat", "InvOneClass.toInv", "instHPow", "Eq" ]
true
Pi.semiring._proof_4
Mathlib.Algebra.Ring.Pi
[ "Monoid.npow", "Pi.monoidWithZero", "instOfNatNat", "Monoid.npow_zero", "Nat", "Semiring", "One.toOfNat1", "Monoid.toOne", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "Semiring.toMonoidWithZero" ]
false
_private.Mathlib.Data.Set.Prod.0.Set.prod_subset_prod_iff_left._simp_1_1
Mathlib.Data.Set.Prod
[ "Set.instSProd", "Set.prod_subset_prod_iff", "SProd.sprod", "HasSubset.Subset", "And", "propext", "Set.instEmptyCollection", "Or", "EmptyCollection.emptyCollection", "Prod", "Eq", "Set.instHasSubset", "Set" ]
false
CategoryTheory.Limits.HasCoequalizersOfHasPushoutsAndBinaryCoproducts.coequalizerCoconeIsColimit._proof_2
Mathlib.CategoryTheory.Limits.Constructions.Equalizers
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.coprod.desc", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingParallelPair.one", "Categ...
false
Lean.Elab.Command.elabPrintAxioms
Lean.Elab.Print
[ "Lean.TSyntax", "Lean.Elab.Command.CommandElab", "Lean.Elab.Command.liftCoreM", "Lean.Syntax.isOfKind", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.TSyntax.raw", "Lean.Expr", "instDecidableEqBool", "instOfNatNat", "List.cons", "Bool.true", "Lean.Elab.Command.instMonadCommandElabM", "Option.non...
true
Lean.Server.ReferencedObject.mk
Lean.Server.Rpc.Basic
[ "Lean.Server.ReferencedObject.mk", "Lean.Server.ReferencedObject", "Nat", "Dynamic", "USize" ]
true
_private.Mathlib.Geometry.Manifold.ContMDiff.Basic.0.ContMDiffWithinAt.comp._simp_1_4
Mathlib.Geometry.Manifold.ContMDiff.Basic
[ "Set.mem_inter_iff", "Membership.mem", "Set.instInter", "Inter.inter", "And", "propext", "Eq", "Set.instMembership", "Set" ]
false
PNat.exists_eq_succ_of_ne_one
Mathlib.Data.PNat.Basic
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Nat.instCanonicallyOrderedAdd", "Preorder.toLT", "Nat.instIsOrderedAddMonoid", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Nat.instOne", "congrArg", "False.elim", "covariant_swap_add_of_covariant_add", "AddMonoid.toAddZeroClass", "PartialO...
true