name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
Lean.Json._sizeOf_3
Lean.Data.Json.Basic
[ "Lean.Json", "String", "Lean.JsonNumber", "Lean.Json.rec_2", "Lean.JsonNumber._sizeOf_inst", "instOfNatNat", "Ord.compare", "Array", "Std.TreeMap.Raw", "List", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Bool", "instAddNat", "String._sizeOf_inst", "instSizeOfNat", "String.i...
false
Pell.xy_modEq_of_modEq
Mathlib.NumberTheory.PellMatiyasevic
[ "Pell.xn", "Nat.brecOn", "instOfNatNat", "And", "Nat.ModEq", "Pell.yn", "Nat", "LT.lt", "instLTNat", "OfNat.ofNat", "Pell.xy_modEq_of_modEq._f" ]
true
Pell.Solution₁.exists_nontrivial_of_not_isSquare
Mathlib.NumberTheory.Pell
[ "Int.instAddCommGroup", "False", "InvOneClass.toOne", "HMul.hMul", "DivisionCommMonoid.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "eq_false", "Monoid.toMulOneClass", "congrArg", "HEq.refl", "False.elim", "HSub.hSub", "DivisionMonoid.toDivInvOneMonoid", "Exists", "Pell.exists_of_...
true
_private.Mathlib.CategoryTheory.Monoidal.Preadditive.0.CategoryTheory.leftDistributor_assoc._simp_1_1
Mathlib.CategoryTheory.Monoidal.Preadditive
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.CategoryStruct.id", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "CategoryTheory.Category.t...
false
CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_eq
Mathlib.CategoryTheory.Sites.Descent.DescentData
[ "CategoryTheory.LocallyDiscrete.categoryStruct", "CategoryTheory.Functor", "CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_eq._proof_14", "Opposite", "CategoryTheory.Pseudofunctor.DescentData.pullFunctorObjHom_eq._auto_7", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.t...
true
Asymptotics.isBigO_snd_prod
Mathlib.Analysis.Asymptotics.Defs
[ "Real", "SeminormedAddCommGroup", "Prod.toNorm", "Asymptotics.IsBigO", "Prod.mk", "Real.instOne", "SeminormedAddCommGroup.toNorm", "Asymptotics.isBigOWith_snd_prod", "Asymptotics.IsBigOWith.isBigO", "One.toOfNat1", "Prod", "OfNat.ofNat", "Filter" ]
true
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Cpop.0.Std.Tactic.BVDecide.BVExpr.bitblast.denote_blastCpopTree.go._proof_1_3
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Cpop
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "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.LinearCombo.eval", "Option.some", "id", "instDecidableEqBool", "Int.instNegInt"...
false
_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.finitenessRelation
Init.Data.String.Pattern.String
[ "_private.Init.Data.String.Pattern.String.0.String.Slice.Pattern.ForwardSliceSearcher.finitenessRelation._proof_1", "InvImage", "String.Slice.Pattern.SearchStep", "Std.Iterators.FinitenessRelation", "String.Slice", "WellFoundedRelation.rel", "Id", "Std.IterM.internalState", "_private.Init.Data.Strin...
true
Metric.encard_maximalSeparatedSet
Mathlib.Topology.MetricSpace.CoveringNumbers
[ "Set.encard", "instTopENat", "Metric.maximalSeparatedSet", "NNReal", "Ne", "Metric.packingNumber", "PseudoEMetricSpace", "ENat", "_private.Mathlib.Topology.MetricSpace.CoveringNumbers.0.Metric.encard_maximalSeparatedSet._proof_1_4", "Top.top", "Eq", "Set" ]
true
Lean.Meta.InductionSubgoal.mvarId
Lean.Meta.Tactic.Induction
[ "Lean.Meta.InductionSubgoal", "Lean.MVarId" ]
true
CategoryTheory.ComposableArrows.threeδ₁Toδ₀._proof_2
Mathlib.CategoryTheory.ComposableArrows.Three
[ "_private.Mathlib.CategoryTheory.ComposableArrows.Basic.0._proof_246", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.CategoryStruct.id", "Fin.mk", "CategoryTheory.ComposableArrows.homMk₁...
false
quasiIsoAt_iff_exactAt
Mathlib.Algebra.Homology.QuasiIso
[ "CategoryTheory.ShortComplex.QuasiIso", "Eq.mpr", "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "_private.Mathlib.Algebra.Homology.QuasiIso.0.quasiIsoAt_iff_exactAt._simp_1_3", "CategoryTheory.IsIso", "HomologicalComplex.ExactAt", "CategoryTheory.CategoryStruct.toQuiver"...
true
instCommRingCyclotomicRing._proof_25
Mathlib.NumberTheory.Cyclotomic.Basic
[ "instCommRingCyclotomicRing._proof_3", "Mul.mk", "Semigroup.toMul", "CommRing", "One.mk", "instCommRingCyclotomicRing._proof_11", "HMul.hMul", "Subring.instSetLike", "instCommRingCyclotomicRing._proof_12", "CyclotomicField.instAlgebra", "Add.mk", "AddMonoid.toZero", "setOf", "AddGroupWithO...
false
_private.Mathlib.LinearAlgebra.QuadraticForm.Dual.0.LinearMap.BilinForm.linearIndependent_of_pairwise_le_zero._proof_1_4
Mathlib.LinearAlgebra.QuadraticForm.Dual
[ "instLawfulOrderLT_mathlib", "NegZeroClass.toNeg", "Lean.RArray.leaf", "False", "CommRing", "Preorder.toLT", "eq_false", "Lean.Grind.iff_eq", "Lean.Grind.CommRing.Expr.var", "CommSemiring.toSemiring", "Finset", "LinearOrder", "Classical.byContradiction", "Lean.Grind.Order.lt_eq_false_of_lt...
false
_private.Mathlib.Data.DFinsupp.BigOperators.0.DFinsupp.sumZeroHom._simp_1
Mathlib.Data.DFinsupp.BigOperators
[ "Multiset.toFinset", "Finset", "Membership.mem", "Multiset", "Multiset.instMembership", "Finset.instSetLike", "propext", "Eq", "SetLike.instMembership", "Multiset.mem_toFinset", "DecidableEq" ]
false
AddSubgroup.relIndex_eq_abs_det
Mathlib.LinearAlgebra.FreeModule.Finite.CardQuotient
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Finsupp.instFunLike", "AlternatingMap", "Int.cast", "Eq.mpr", "Lattice", "Submodule", "Subtype.mk.congr_simp", "Int.cast_abs", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSubsingletonDecidable"...
true
Lean.Parser.Term.letrec
Lean.Parser.Term
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "Lean.Parser.nonReservedSymbol", "instHAndThenOfAndThen", "Lean.Parser.group", "Lean.Parser.withPosition", "instOfNatNat", "Lean.Parser.symbol", "Lean.Parser.Term.letRecDecls", "Lean.Parser.withAntiquot", "Lean.Parser.Term.o...
true
LocallyConstant.instSub._proof_1
Mathlib.Topology.LocallyConstant.Algebra
[ "IsLocallyConstant", "HSub.hSub", "LocallyConstant.isLocallyConstant", "LocallyConstant", "TopologicalSpace", "instHSub", "Pi.instSub", "LocallyConstant.instFunLike", "LocallyConstant.toFun", "IsLocallyConstant.sub", "DFunLike.coe", "Sub" ]
false
Finset.sigmaLift_mono
Mathlib.Data.Finset.Sigma
[ "Eq.mpr", "congrArg", "Finset", "Membership.mem", "Exists", "Eq.rec", "Eq.mp", "Finset.mem_sigmaLift", "id", "HasSubset.Subset", "Sigma.fst", "Exists.casesOn", "Finset.instSetLike", "propext", "Exists.intro", "Finset.instHasSubset", "Finset.sigmaLift", "Sigma.snd", "Eq", "SetLi...
true
SSet.Truncated.instMonoidalTruncation
Mathlib.AlgebraicTopology.SimplicialSet.Monoidal
[ "SSet.Truncated.instMonoidalTruncation._proof_18", "SSet.Truncated.instMonoidalTruncation._aux_3", "Opposite", "SSet.Truncated.instMonoidalTruncation._proof_17", "CategoryTheory.typesCartesianMonoidalCategory", "CategoryTheory.Functor.Monoidal.mk", "SSet.Truncated.instMonoidalTruncation._proof_19", "C...
true
CategoryTheory.ChosenPullbacksAlong.cartesianMonoidalCategoryFst_pullback_obj
Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong
[ "CategoryTheory.Over", "CategoryTheory.Over.mk", "CategoryTheory.instCategoryOver", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCategory", "CategoryTheory.CartesianMonoidalCategory", "CategoryTheory.Over.left", "CategoryTheory.MonoidalCategoryStruct.whiskerRight", "CategoryTheory.MonoidalC...
true
_private.Lean.Elab.GenInjective.0.Lean.Elab.Command.elabGenInjectiveTheorems._regBuiltin._private.Lean.Elab.GenInjective.0.Lean.Elab.Command.elabGenInjectiveTheorems_1
Lean.Elab.GenInjective
[ "Lean.Elab.Command.CommandElab", "IO", "Lean.Elab.Command.commandElabAttribute", "instOfNatNat", "Lean.Name.num", "Lean.Name.str", "Lean.Name.anonymous", "Unit", "_private.Lean.Elab.GenInjective.0.Lean.Elab.Command.elabGenInjectiveTheorems", "Nat", "OfNat.ofNat", "Lean.Name.mkStr4", "Lean.Ke...
false
MonoidHom.compLeftContinuous._proof_2
Mathlib.Topology.ContinuousMap.Algebra
[ "Monoid", "Continuous", "MonoidHom.instFunLike", "HMul.hMul", "MonoidHom", "Monoid.toMulOneClass", "ContinuousMap.mk", "ContinuousMap", "ContinuousMap.comp", "MulOne.toMul", "ContinuousMap.instMulOneClassOfContinuousMul", "TopologicalSpace", "MulOneClass.toMulOne", "ContinuousMul", "Cont...
false
Lean.Elab.CompletionInfo._sizeOf_inst
Lean.Elab.InfoTree.Types
[ "Lean.Elab.CompletionInfo", "Lean.Elab.CompletionInfo._sizeOf_1", "SizeOf.mk", "SizeOf" ]
false
NonUnitalSubring.mk.inj
Mathlib.RingTheory.NonUnitalSubring.Defs
[ "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocRing", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "NonUnitalNonAssocRing.toAddCommGroup", "NonUnitalSubring.mk.noConfusion", "AddSubsemigroup.carrier", "NonUnitalSubring", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZer...
true
_private.Mathlib.RingTheory.MvPowerSeries.Substitution.0.MvPowerSeries.HasSubst.pow._proof_1_1
Mathlib.RingTheory.MvPowerSeries.Substitution
[ "Lean.RArray.leaf", "False", "eq_false", "congrArg", "Classical.byContradiction", "Nat.not_le_eq", "Lean.Grind.Nat.lt_eq", "Eq.mp", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "Ne", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "Bool.true", "instHAdd", "HAdd.hA...
false
Lean.JsonRpc.instInhabitedRequest
Lean.Data.JsonRpc
[ "Lean.JsonRpc.instInhabitedRequest.default", "Inhabited", "Lean.JsonRpc.Request", "Inhabited.mk" ]
true
_private.Lean.Data.Json.FromToJson.Basic.0.Lean.NameMap.fromJson?.match_1
Lean.Data.Json.FromToJson.Basic
[ "Lean.Json", "Lean.Json.obj", "String", "Lean.Json.ctorIdx", "Nat.hasNotBit", "Ord.compare", "_private.Lean.Data.Json.FromToJson.Basic.0.Lean.NameMap.fromJson?._sparseCasesOn_1", "Std.TreeMap.Raw", "String.instOrd" ]
false
Fin2.equivFin_symm_apply
Mathlib.Data.Fin.Fin2
[ "Equiv.instEquivLike", "Fin2.ofFin", "Fin2.equivFin", "Equiv", "Nat", "Eq.refl", "Equiv.symm", "Fin", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "Fin2" ]
true
Nat.size_toArray_rco
Init.Data.Range.Polymorphic.NatLemmas
[ "Std.Rco.size", "Nat.size_rco", "Std.Rco.toArray", "congrArg", "Std.Rco.size_toArray", "Std.PRange.instHasSizeNat_1", "HSub.hSub", "Std.PRange.instLawfulUpwardEnumerableLTNat", "Std.PRange.instIsAlwaysFiniteNat_1", "instSubNat", "instHSub", "Std.PRange.instLawfulHasSizeNat_1", "Std.PRange.in...
true
CategoryTheory.Iso.commRingCatIsoToRingEquiv_toRingHom
Mathlib.Algebra.Category.Ring.Basic
[ "CategoryTheory.Iso.commRingCatIsoToRingEquiv", "CommRingCat.Hom.hom", "CommRingCat.carrier", "CommSemiring.toSemiring", "CommRingCat", "RingEquiv.instEquivLike", "RingEquiv.instRingEquivClass", "RingHom", "CommRingCat.instCategory", "Distrib.toAdd", "CategoryTheory.Iso", "instDistribOfSemirin...
true
Computation.Bind.g
Mathlib.Data.Seq.Computation
[ "Sum", "Sum.inl", "Computation", "Sum.inr", "Computation.run.match_1" ]
true
Int.Linear.Expr.collectVars._sunfold
Lean.Meta.Tactic.Grind.Arith.Cutsat.VarRename
[ "HAndThen.hAndThen", "instHAndThenOfAndThen", "Int.Linear.Expr.collectVars", "Lean.Meta.Grind.instAndThenVarCollector", "id", "Int", "Int.Linear.Var", "Lean.Meta.Grind.VarCollector", "Unit", "Int.Linear.Expr", "Lean.Meta.Grind.collectVar", "Lean.Meta.Grind.FoundVars", "_private.Lean.Meta.Tac...
false
Std.DTreeMap.Internal.Impl.getKey!_union!_of_contains_eq_false_left
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Ord", "congrArg", "Std.TransOrd", "id", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Internal.Impl.WF.balanced", "Std.DTreeMap.Internal.Impl.contains", "Std.DTreeMap.Internal.Impl.union!", "Bool", "Std.DTreeMap.Internal.Impl.getKey!", "Inhabited", "Std.DTreeMap.Internal.Impl.get...
true
instRightCancelMonoidColex.eq_1
Mathlib.Algebra.Order.Group.Synonym
[ "Colex", "RightCancelMonoid", "Eq.refl", "instRightCancelMonoidColex", "Eq" ]
true
_private.Mathlib.NumberTheory.Zsqrtd.Basic.0.Zsqrtd.nonnegg_cases_right.match_1_1
Mathlib.NumberTheory.Zsqrtd.Basic
[ "Int.casesOn", "Int.instNegInt", "Int.ofNat", "Int", "Nat.cast", "Nat", "Zsqrtd.SqLe", "instNatCastInt", "Int.negSucc", "Eq", "Neg.neg" ]
false
Lean.Meta.SimpTheorems._sizeOf_1
Lean.Meta.Tactic.Simp.SimpTheorems
[ "Lean.PHashMap", "Lean.Meta.instHashableOrigin", "Lean.Meta.SimpTheorem._sizeOf_inst", "Lean.Meta.instBEqOrigin", "instOfNatNat", "Lean.Meta.SimpTheorems.rec", "Lean.PHashSet", "Lean.Meta.SimpTheorem", "Array._sizeOf_inst", "Array", "Lean.PersistentHashSet._sizeOf_inst", "Lean.Meta.SimpTheorem...
false
_private.Mathlib.GroupTheory.CoprodI.0.Monoid.CoprodI.NeWord.inv.match_1.eq_2
Mathlib.GroupTheory.CoprodI
[ "MulOne.toOne", "Monoid.CoprodI.NeWord", "Monoid.toMulOneClass", "Monoid.CoprodI.NeWord.singleton", "Group", "Monoid.CoprodI.NeWord.inv.match_1", "DivInvMonoid.toMonoid", "Ne", "Monoid.CoprodI.NeWord.append", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "One.toOfNat1", "Eq.refl", "OfNat...
true
NonUnitalSeminormedRing.induced._proof_12
Mathlib.Analysis.Normed.Ring.Basic
[ "NonUnitalSeminormedRing", "PseudoMetricSpace.toBornology", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "SeminormedAddGroup.induced._proof_12", "SeminormedAddCommGroup.toSeminormedAddGroup", "SeminormedAddGroup.toPseudoMetricSpace", "NonUnitalSeminormedRing.toSeminormedAddCommGroup", "Bor...
false
Subfield.extendScalars.orderIso_apply
Mathlib.FieldTheory.IntermediateField.Basic
[ "IntermediateField.instPartialOrder", "Subfield.extendScalars.orderIso", "Subfield.toAlgebra", "IntermediateField", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Field.toDivisionRing", "Subtype", "Subfield.instPartialOrder", "LE.le", "Subfield.instSetLike", "RelIso", "Subf...
true
_private.Mathlib.AlgebraicGeometry.QuasiAffine.0.AlgebraicGeometry.Scheme.isPullback_toSpecΓ_toSpecΓ._simp_1_3
Mathlib.AlgebraicGeometry.QuasiAffine
[ "CategoryTheory.Iso.comp_inv_eq", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "propext", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Category" ]
false
CategoryTheory.instFaithfulGrpFunctorOppositeGrpCatYonedaGrp
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
[ "CategoryTheory.Functor", "GrpCat", "CategoryTheory.yonedaGrpFullyFaithful", "Opposite", "CategoryTheory.Functor.category", "CategoryTheory.Grp.instCategory", "CategoryTheory.Functor.FullyFaithful.faithful", "CategoryTheory.CartesianMonoidalCategory", "GrpCat.instCategory", "CategoryTheory.yonedaG...
true
CategoryTheory.AddGrp.instAddMonObj._proof_2
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
[ "CategoryTheory.IsAddMonHom", "CategoryTheory.AddGrp", "CategoryTheory.AddMon.instCategory", "CategoryTheory.AddMon.monMonoidal", "CategoryTheory.AddMon.instIsAddMonHomHom", "CategoryTheory.AddGrp.toAddMon", "CategoryTheory.AddMonObj.add", "CategoryTheory.SemiCartesianMonoidalCategory.toMonoidalCatego...
false
Lean.Elab.Tactic.Do.Uses.toCtorIdx
Lean.Elab.Tactic.Do.LetElim
[ "Lean.Elab.Tactic.Do.Uses.ctorIdx", "Lean.Elab.Tactic.Do.Uses", "Nat" ]
false
Set.mulOneClass
Mathlib.Algebra.Group.Pointwise.Set.Basic
[ "MulOne.toOne", "One", "Set.one", "Mul", "MulOne.mk", "MulOne.toMul", "Set.mulOneClass._proof_2", "MulOneClass.toMulOne", "MulOneClass.mk", "Set.mul", "MulOneClass", "Set.mulOneClass._proof_1", "Set" ]
true
CategoryTheory.Sieve.ext_iff
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HEq.refl", "Iff.rfl", "CategoryTheory.Sieve.ext", "Eq.casesOn", "CategoryTheory.Sieve.arrows", "CategoryTheory.Sieve", "Iff", "Iff.intro", "Eq.ndrec", "Eq.refl", "HEq", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq",...
true
_private.Mathlib.Topology.Algebra.Group.DiscontinuousSubgroup.0.Subgroup.properlyDiscontinuousSMul_of_le.match_1_1
Mathlib.Topology.Algebra.Group.DiscontinuousSubgroup
[ "instHSMul", "SMul", "setOf", "Group", "Membership.mem", "Subgroup", "Set.instInter", "Inter.inter", "And.casesOn", "And", "Set.Nonempty", "And.intro", "HSMul.hSMul", "Set.instMembership", "Set.smulSet", "SetLike.instMembership", "Subgroup.instSetLike", "Set" ]
false
Lean.Elab.Visibility._sizeOf_1
Lean.Elab.DeclModifiers
[ "Lean.Elab.Visibility.rec", "instOfNatNat", "Nat", "OfNat.ofNat", "Lean.Elab.Visibility" ]
false
Nat.nth_eq_orderIsoOfNat
Mathlib.Data.Nat.Nth
[ "setOf", "Function.comp", "Membership.mem", "Set.Elem", "Nat.Subtype.orderIsoOfNat", "OrderIso", "instLENat", "funext", "Nat.nth_apply_eq_orderIsoOfNat", "instFunLikeOrderIso", "Nat", "Nat.nth", "Subtype.val", "Eq", "Set.instMembership", "DFunLike.coe", "Set.Infinite.to_subtype", "...
true
BialgCat.noConfusionType
Mathlib.Algebra.Category.BialgCat.Basic
[ "CommRing", "BialgCat", "BialgCat.casesOn", "CommRing.toCommSemiring", "Bialgebra", "HEq", "Ring.toSemiring", "Eq", "Ring" ]
false
unitInterval.toNNReal._proof_1
Mathlib.Topology.UnitInterval
[ "Real", "Real.instZero", "Preorder.toLE", "Membership.mem", "Set.Elem", "LE.le", "Real.instOne", "And.left", "One.toOfNat1", "Zero.toOfNat0", "OfNat.ofNat", "Subtype.val", "Set.instMembership", "unitInterval", "Real.instPreorder", "Subtype.property", "Set" ]
false
LinearMap.BilinMap.isSymm_iff_eq_flip
Mathlib.LinearAlgebra.SesquilinearForm.Basic
[ "congrArg", "CommSemiring.toSemiring", "LinearMap.BilinMap", "LinearMap.instFunLike", "LinearMap.module", "LinearMap", "AddCommMonoid", "iff_self", "CommSemiring", "Iff", "LinearMap.flip", "True", "LinearMap.addCommMonoid", "of_eq_true", "Module", "LinearMap.mk₂._proof_1", "RingHom.i...
true
_private.Mathlib.Algebra.Group.ModEq.0.AddCommGroup.modEq_zero._simp_1_1
Mathlib.Algebra.Group.ModEq
[ "AddCommGroup.ModEq", "instHSMul", "AddMonoid.toNSMul", "Exists", "AddCommMonoid", "instHAdd", "HAdd.hAdd", "Nat", "propext", "HSMul.hSMul", "AddCommMonoid.toAddMonoid", "AddCommSemigroup.toAddCommMagma", "AddCommMonoid.toAddCommSemigroup", "AddCommGroup.modEq_iff_nsmul", "Eq", "AddCom...
false
Finset.inf_sup
Mathlib.Data.Finset.Lattice.Pi
[ "dite_cond_eq_true", "Eq.mpr", "of_eq_false", "False", "dite_congr", "Lattice.toSemilatticeSup", "instDecidableTrue", "Finset.mem_insert_self", "eq_false", "SProd.sprod", "_private.Mathlib.Data.Finset.Lattice.Pi.0.Finset.inf_sup._simp_1_3", "congrArg", "Finset.sup_singleton", "Finset", "...
true
LieSubmodule.coe_map_toEnd_le
Mathlib.Algebra.Lie.OfAssociative
[ "LieHom", "Module.End.instRing", "Submodule", "RingHomSurjective.ids", "CommRing", "instSMulOfMul", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "LinearMap.instFunLike", "LieSubmodule.toSubmodule", "LieSubmodule", "Preorder.toLE", "Membership.mem", ...
true
AdicCompletion.evalₐ._proof_1
Mathlib.RingTheory.AdicCompletion.Algebra
[ "Submodule", "Ideal.smul_top_eq_map", "CommRing", "instHSMul", "Semiring.toModule", "instSMulOfMul", "IsScalarTower.right", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "Submodule.restrictScalars", "Ideal.map_id", "Submodule.restrictScalars.congr_simp", "RingHom", "Algebr...
false
Sym.map._proof_1
Mathlib.Data.Sym.Basic
[ "Multiset.map", "congrArg", "Multiset", "Nat", "True", "eq_self", "Sym", "Sym.toMultiset", "of_eq_true", "Multiset.card", "congrFun'", "Subtype.val", "Eq", "Eq.trans", "Multiset.card_map", "Sym.card_coe" ]
false
DerivedCategory.instPreadditive._proof_3
Mathlib.Algebra.Homology.DerivedCategory.Basic
[ "Int.instAddCommGroup", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions", "HasDerivedCategory._proof_1", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Int.instLinearOrder", "HomotopyCategory.instAdditiveIntUpShiftFunctor", "PartialOrder.toPreorder", ...
false
NormedSpace.inclusionInDoubleDualWeak._proof_1
Mathlib.Analysis.Normed.Module.DoubleDual
[ "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IsSemitopologicalRing.toIsSemitopologicalSemiring", "IsTopologicalDivisionRing.toIsTopologicalRing", "PseudoMetricSpace.toUniformSpace", "NormedDivisionRing.toDivisionRing", "Distrib.toAdd", "NonUnitalNonAssocRing...
false
_private.Mathlib.Combinatorics.SimpleGraph.Finite.0.SimpleGraph.neighborFinset_eq_empty._simp_1_2
Mathlib.Combinatorics.SimpleGraph.Finite
[ "Membership.mem", "Iff", "propext", "Set.ext_iff", "Eq", "Set.instMembership", "Set" ]
false
_private.Mathlib.RingTheory.PowerSeries.Ideal.0.PowerSeries.eq_span_insert_X_of_X_mem_of_span_eq._simp_1_1
Mathlib.RingTheory.PowerSeries.Ideal
[ "Ideal.span_le", "Semiring.toModule", "PartialOrder.toPreorder", "Preorder.toLE", "HasSubset.Subset", "Submodule.instPartialOrder", "LE.le", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "SetLike.coe", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Submodule.setLike", "propext", ...
false
IsLocalization.Away.awayToAwayLeft._proof_1
Mathlib.RingTheory.Localization.Away.Basic
[ "HMul.hMul", "Algebra.algebraMap", "CommSemiring.toNonUnitalCommSemiring", "CommSemiring.toSemiring", "NonUnitalCommSemiring.toCommSemigroup", "IsLocalization.Away", "IsUnit", "Algebra", "RingHom", "IsLocalization.Away.isUnit_of_dvd", "instDistribOfSemiring", "CommSemiring", "dvd_mul_left", ...
false
SymbolicDynamics.FullShift.MulSubshift
Mathlib.Dynamics.SymbolicDynamics.Basic
[ "Monoid", "SymbolicDynamics.FullShift.MulSubshift.mk", "TopologicalSpace" ]
true
Std.DHashMap.Raw.Const.get!_insertMany_list_of_mem
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "Std.DHashMap.Internal.Raw.Const.get!_eq", "List.Pairwise", "congrArg", "instForInOfForIn'", "Std.DHashMap.Raw", "Membership.mem", "inferInstance", "Std.DHashMap.Raw.Const.get!", "id", "Std.DHashMap.Internal.Raw₀.Const.wf_insertMany₀", "Prod.mk", "instOfNat...
true
Mathlib.Meta.Positivity.core
Mathlib.Tactic.Positivity.Core
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.MessageData", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "instInhabitedProd", "Lean.PersistentEnvExtensionState", "Bool.not", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.PositivityExt", "Qq.instToMessageDat...
true
Finset.expectWith_congr
Mathlib.Algebra.BigOperators.Expect
[ "Finset.expect_congr", "Iff.mpr", "Eq.mpr", "Finset.mem_filter._simp_1", "Finset.expect", "congrArg", "NNRat.instSemifield", "Finset", "Membership.mem", "id", "NNRat", "AddCommMonoid", "And", "Iff", "Semifield.toDivisionSemiring", "Finset.instSetLike", "implies_congr", "DecidablePr...
true
Real.Angle.sin_toReal
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
[ "Eq.mpr", "Real", "Real.Angle", "Real.Angle.coe", "congrArg", "Eq.rec", "id", "Real.Angle.coe_toReal", "Real.Angle.sin_coe", "Eq.refl", "Real.Angle.sin", "Eq.symm", "Real.Angle.toReal", "Eq", "Real.sin", "Eq.trans" ]
true
Aesop.Script.StaticStructureM.Context.casesOn
Aesop.Script.StructureStatic
[ "Lean.instBEqMVarId", "Aesop.Script.StaticStructureM.Context.mk", "Aesop.Script.StaticStructureM.Context", "Lean.MVarId", "Std.HashMap", "Aesop.Script.StaticStructureM.Context.rec", "Lean.instHashableMVarId", "Nat", "Prod", "Aesop.Script.Step" ]
false
AlgebraicGeometry.Scheme.Hom.normalizationPullback._proof_3
Mathlib.AlgebraicGeometry.Normalization
[ "CategoryTheory.Limits.limit.π", "AlgebraicGeometry.Scheme.Hom.fromNormalization", "CategoryTheory.Limits.pullback", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "AlgebraicGeometry.Scheme", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.pull...
false
Lean.Meta.LazyDiscrTree.ImportData.mk.inj
Lean.Meta.LazyDiscrTree
[ "Lean.Meta.LazyDiscrTree.ImportData.mk", "Lean.Meta.LazyDiscrTree.ImportFailure", "Lean.Meta.LazyDiscrTree.ImportData", "Array", "IO.Ref", "Eq", "Lean.Meta.LazyDiscrTree.ImportData.mk.noConfusion" ]
true
circleIntegrable_congr
Mathlib.MeasureTheory.Integral.CircleIntegral
[ "NormedCommRing.toSeminormedCommRing", "Real", "Real.pi", "HMul.hMul", "Real.lattice", "Real.instZero", "abs", "NormedAddCommGroup.toMetricSpace", "CircleIntegrable._proof_1", "Set.uIoc", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "Real.measureSpace", ...
true
IsDedekindDomainDvr.isDedekindDomain
Mathlib.RingTheory.DedekindDomain.Dvr
[ "IsDomain", "CommRing", "CommSemiring.toSemiring", "IsDedekindDomainDvr.ring_dimensionLEOne", "IsDedekindDomainDvr.isIntegrallyClosed", "CommRing.toCommSemiring", "IsDedekindDomain.mk", "IsDedekindRing.mk", "IsDedekindDomain", "IsDedekindDomainDvr", "IsDedekindDomainDvr.toIsNoetherian" ]
true
spectralNorm.metricSpace
Mathlib.Analysis.Normed.Unbundled.SpectralNorm
[ "NormedCommRing.toSeminormedCommRing", "CompleteSpace", "PseudoMetricSpace.toUniformSpace", "Algebra", "NormedField.toField", "Field.toDivisionRing", "DivisionRing.toRing", "Algebra.IsAlgebraic", "Field.toSemifield", "Field.toCommRing", "NormedField.toMetricSpace", "Semifield.toDivisionSemirin...
true
FormalMultilinearSeries.le_radius_pi
Mathlib.Analysis.Analytic.Constructions
[ "Iff.mpr", "Finset.mem_univ", "Real.instIsOrderedRing", "Norm.norm", "SeminormedAddGroup.toNorm", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real.instLE", "Real", "ENNReal.ofNNReal", "Preorder.toLT", "instHDiv", "IsOrderedRing...
true
Polynomial.recOnHorner._proof_7
Mathlib.Algebra.Polynomial.Inductions
[ "Polynomial.C", "False", "HMul.hMul", "congrArg", "Polynomial.recOnHorner._proof_1", "RingHom", "Eq.mp", "instOfNatNat", "Polynomial.instAdd", "Polynomial.divX_mul_X_add", "Polynomial.divX", "Polynomial", "Polynomial.coeff", "instHAdd", "RingHom.instFunLike", "HAdd.hAdd", "Polynomial...
false
Batteries.BinomialHeap.Imp.Heap.headD.eq_def
Batteries.Data.BinomialHeap.Lemmas
[ "Eq.mpr", "congrArg", "Batteries.BinomialHeap.Imp.Heap.headD", "Batteries.BinomialHeap.Imp.Heap", "Batteries.BinomialHeap.Imp.HeapNode", "id", "instDecidableEqBool", "Batteries.BinomialHeap.Imp.Heap.rec", "Batteries.BinomialHeap.Imp.Heap.brecOn.eq", "Batteries.BinomialHeap.Imp.Heap.cons", "Bool....
true
WithOne.lift_unique
Mathlib.Algebra.Group.WithOne.Basic
[ "MulHom", "WithOne", "Equiv.apply_symm_apply", "Equiv.instEquivLike", "MonoidHom", "WithOne.lift", "WithOne.coeMulHom", "Mul", "Equiv", "MulOne.toMul", "MulHom.comp", "WithOne.instMulOneClass", "MonoidHom.toMulHom", "MulOneClass.toMulOne", "Equiv.symm", "MulOneClass", "Eq.symm", "E...
true
DiffeologicalSpace.self_subset_toPlots_generateFrom
Mathlib.Geometry.Diffeology.Basic
[ "Real", "Membership.mem", "HasSubset.Subset", "Sigma.fst", "EuclideanSpace", "DiffeologicalSpace", "Nat", "DiffeologicalSpace.toPlots", "Sigma.mk", "Sigma.snd", "Fin", "Set.instMembership", "Sigma", "DiffeologicalSpace.generateFrom", "Set.instHasSubset", "Set" ]
true
Bool.true_eq_false_eq_False
Mathlib.Data.Bool.Basic
[ "instDecidableNot", "of_decide_eq_true", "id", "instDecidableEqBool", "Bool.true", "Bool", "Eq.refl", "Bool.false", "Decidable.decide", "Eq", "Not" ]
true
CategoryTheory.PreservesFiniteLimitsOfFlat.lift.eq_1
Mathlib.CategoryTheory.Functor.Flat
[ "CategoryTheory.PreservesFiniteLimitsOfFlat.lift._proof_1", "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.comp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.StructuredArrow.hom", "CategoryTheory.SmallCa...
true
Nat.digits
Mathlib.Data.Nat.Digits.Defs
[ "Nat.digits.match_1", "Nat.digitsAux", "Nat.digitsAux1", "instOfNatNat", "List", "instHAdd", "Unit", "HAdd.hAdd", "Nat", "instAddNat", "Nat.digits._proof_3", "OfNat.ofNat", "Nat.digitsAux0" ]
true
Multiset.consEquiv_symm_some
Mathlib.Data.Multiset.Fintype
[ "Equiv.instEquivLike", "Fin.castLE", "Option.some", "Multiset.count", "Multiset", "Multiset.cons", "Equiv", "Sigma.fst", "Multiset.consEquiv", "Multiset.count_le_count_cons", "Multiset.ToType", "Sigma.mk", "Equiv.symm", "Sigma.snd", "Fin", "Eq", "DFunLike.coe", "rfl", "EquivLike....
true
RingInvoClass.casesOn
Mathlib.RingTheory.RingInvo
[ "MulOpposite", "RingEquivClass", "Distrib.toAdd", "instDistribOfSemiring", "MulOpposite.instAdd", "EquivLike", "Distrib.toMul", "Semiring", "RingInvoClass", "MulOpposite.unop", "RingInvoClass.rec", "Eq", "DFunLike.coe", "EquivLike.toFunLike", "MulOpposite.instMul", "RingInvoClass.mk" ]
false
Lean.mkMData
Lean.Expr
[ "Lean.Expr", "Lean.Expr.mdata", "Lean.MData" ]
true
Lean.Meta.Grind.Arith.CommRing.instMonadRingOfMonadLift
Lean.Meta.Tactic.Grind.Arith.CommRing.MonadRing
[ "Lean.Meta.Grind.Arith.CommRing.MonadRing.getRing", "Lean.Meta.Grind.Arith.CommRing.MonadRing.modifyRing", "instMonadLiftT", "liftM", "Lean.Meta.Grind.Arith.CommRing.MonadRing.mk", "MonadLift", "Unit", "Lean.Meta.Grind.Arith.CommRing.Ring", "instMonadLiftTOfMonadLift", "Lean.Meta.Grind.Arith.CommR...
true
Lean.Grind.CommRing.Var
Init.Grind.Ring.CommSolver
[ "Nat" ]
true
CategoryTheory.toSheafify_naturality
Mathlib.CategoryTheory.Sites.Sheafification
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.toSheafify", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.sheafifyMap", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Adjunction.unit", "CategoryTheory.Functor.id", "CategoryTheor...
true
AlgEquiv.restrictScalars
Mathlib.Algebra.Algebra.Tower
[ "RingEquiv.toEquiv", "AlgEquiv.restrictScalars._proof_2", "CommSemiring.toSemiring", "IsScalarTower", "AlgEquiv.restrictScalars._proof_3", "Algebra", "Algebra.toSMul", "Distrib.toAdd", "AlgEquiv.mk", "instDistribOfSemiring", "CommSemiring", "Distrib.toMul", "AlgEquiv", "AlgEquiv.toRingEqui...
true
CategoryTheory.Functor.PreOneHypercoverDenseData.f
Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.PreOneHypercoverDenseData", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Functor.PreOneHypercoverDenseData.X", "CategoryTheory.Functor.obj", "CategoryTheory.Functor.PreOneHypercover...
true
MeasureTheory.SimpleFunc.coe_sup
Mathlib.MeasureTheory.Function.SimpleFunc
[ "MeasureTheory.SimpleFunc", "Max", "MeasureTheory.SimpleFunc.instFunLike", "MeasurableSpace", "Pi.instMaxForall_mathlib", "Max.max", "MeasureTheory.SimpleFunc.instSup", "Eq", "DFunLike.coe", "rfl" ]
true
SemiRingCat.semiringObj._proof_15
Mathlib.Algebra.Category.Ring.Limits
[ "SemiRingCat.instConcreteCategoryRingHomCarrier", "CategoryTheory.Functor", "Semigroup.mul_assoc", "HMul.hMul", "CategoryTheory.Functor.comp", "RingHom", "SemiRingCat.semiringObj._aux_13", "SemiRingCat.carrier", "SemiRingCat.semiring", "RingHom.instFunLike", "SemiRingCat.instSemiringObjForgetRin...
false
ArithmeticFunction.smul_map
Mathlib.NumberTheory.ArithmeticFunction.Defs
[ "instHSMul", "ArithmeticFunction.instFunLikeNat", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "ArithmeticFunction.instModule", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "AddCommMonoid", "AddZero.toZero", "ArithmeticFunction.instAddMonoid", "Nat", "ArithmeticFun...
true
Circle.path._proof_1
Mathlib.Analysis.SpecialFunctions.Complex.Circle
[ "NormedCommRing.toSeminormedCommRing", "Circle.exp_arg", "Real", "congrArg", "ContinuousMap", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "SeminormedRing.toRing", "Membership.mem", "Complex.arg", "instTopologicalSpaceCircle", "MulZeroOneClass.toMulOneClass", "Circle.exp", ...
false
_private.Init.Data.Vector.Zip.0.Array.getElem?_zipWith.match_1.eq_2
Init.Data.Vector.Zip
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "Option.ctorIdx", "congrArg", "False.elim", "Array.getElem?_zipWith._sparseCasesOn_1.else_eq", "Nat.shiftRight", "Option.some", "Array.getElem?_zipWith._sparseCasesOn_1", "id", "Nat.hasNotBit", "Option.rec", "instOfNatNat", "Nat.land", "Opti...
true
CategoryTheory.FreeMonoidalCategory.categoryFreeMonoidalCategory._proof_3
Mathlib.CategoryTheory.Monoidal.Free.Basic
[ "Quot.ind", "CategoryTheory.FreeMonoidalCategory.HomEquiv.assoc", "Quotient.map₂", "Quotient", "HasEquiv.Equiv", "CategoryTheory.FreeMonoidalCategory.HomEquiv.comp", "CategoryTheory.FreeMonoidalCategory", "instHasEquivOfSetoid", "CategoryTheory.FreeMonoidalCategory.setoidHom", "CategoryTheory.Free...
false
_private.Init.Data.List.Basic.0.List.beq.match_1.splitter
Init.Data.List.Basic
[ "Unit.unit", "False", "False.elim", "noConfusion_of_Nat", "List.cons", "List", "Unit", "List.casesOn", "HEq", "Eq", "List.ctorIdx", "List.cons.noConfusion", "List.nil" ]
true
Bundle.Pretrivialization.continuousLinearMap._proof_4
Mathlib.Topology.VectorBundle.Hom
[ "ContinuousLinearMap.comp", "Bundle.Pretrivialization.continuousLinearMapCoordChange._proof_7", "Set.instSProd", "Bundle.Pretrivialization.continuousLinearMap.match_3", "NormedSpace", "FiberBundle", "SProd.sprod", "AddCommGroup.toAddCommMonoid", "Set.univ", "NormedSpace.toModule", "PseudoMetricS...
false
Lean.Parser.Term.matchExprPat
Lean.Parser.Term
[ "Lean.Parser.Parser", "HAndThen.hAndThen", "Lean.Parser.leadingNode", "Lean.Parser.optional", "instHAndThenOfAndThen", "instOfNatNat", "Lean.Parser.Term.binderIdent", "Lean.Parser.symbol", "Lean.Parser.withAntiquot", "Bool.true", "Unit", "Lean.Parser.atomic", "Nat", "Lean.Parser.many", "...
true
_private.Mathlib.Data.Multiset.DershowitzManna.0.Multiset.OneStep
Mathlib.Data.Multiset.DershowitzManna
[ "Preorder.toLT", "Membership.mem", "Exists", "Multiset", "Multiset.instSingleton", "Multiset.instMembership", "instHAdd", "And", "HAdd.hAdd", "LT.lt", "Singleton.singleton", "Eq", "Multiset.instAdd", "Preorder" ]
true
SymmetricAlgebra.rank_eq
Mathlib.LinearAlgebra.SymmetricAlgebra.Basis
[ "Nontrivial", "Eq.mpr", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "TensorAlgebra.SymRel", "Lattice.toSemilatticeSup", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "Cardinal", "SymmetricAlgebra", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddC...
true