name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CompleteSublattice.isComplemented_iff
Mathlib.Order.CompleteSublattice
[ "Iff.mpr", "ComplementedLattice.mk", "Membership.mem", "Exists", "SemilatticeInf.toPartialOrder", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "Subtype", "CompleteSublattice.isCompl_iff", "CompleteSublattice.instCompleteLattice", "_private.Mathlib.Order.Com...
true
_private.Mathlib.Tactic.Ring.Common.0.Mathlib.Tactic.Ring.Common.add_overlap_pf_zero._simp_1_3
Mathlib.Tactic.Ring.Common
[ "HMul.hMul", "Mul", "instHAdd", "HAdd.hAdd", "LeftDistribClass", "mul_add", "Eq.symm", "Eq", "Add", "instHMul" ]
false
_private.Mathlib.SetTheory.ZFC.PSet.0.PSet.mem_sep.match_1_5
Mathlib.SetTheory.ZFC.PSet
[ "PSet.mk", "PSet", "PSet.casesOn" ]
false
Subalgebra.map._proof_2
Mathlib.Algebra.Algebra.Subalgebra.Basic
[ "Subsemiring.instSetLike", "AlgHom.algHomClass", "Algebra.algebraMap", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Submonoid.toSubsemigroup", "Algebra", "RingHom", "Membership.mem", "Eq.rec", "MulOne.toMul", "Subalgebra.toSubsemiring", "NonAssocSemiring.toMulZeroOneClass", "S...
false
Perfection.quotientMulEquiv.eq_1
Mathlib.RingTheory.Teichmuller
[ "Ideal.Quotient.commSemiring", "Perfection.quotientMulEquiv._proof_6", "CommRing", "MulEquiv.instEquivLike", "Nat.Prime", "Semiring.toModule", "Perfection", "Perfection.instCommMonoid", "MonoidHom", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "Ideal.Quotient.mk", "Perfection.mapMonoid...
true
Std.Iterators.Types.StepSizeIterator.n
Std.Data.Iterators.Combinators.Monadic.StepSize
[ "Std.Iterators.Types.StepSizeIterator", "Nat" ]
true
MeasureTheory.SignedMeasure.toComplexMeasure_apply_im
Mathlib.MeasureTheory.Measure.Complex
[ "NormedCommRing.toSeminormedCommRing", "Real", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "MeasureTheory.SignedMeasure.toComplexMeasure", "Complex.im", "MeasureTheory.VectorMeasure.measureOf'", "Complex.instNormedField", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.SignedMeasure", "Non...
true
HomotopicalAlgebra.CofibrantObject.instIsLocalizedEquivalenceWeakEquivalencesLocalizerMorphism
Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
[ "CategoryTheory.Limits.hasFiniteCoproducts_of_hasFiniteColimits", "CategoryTheory.LocalizerMorphism.catCommSq", "CategoryTheory.Localization.liftNatIso", "CategoryTheory.Functor", "HomotopicalAlgebra.CofibrantObject.localizerMorphism", "HomotopicalAlgebra.ModelCategory.cm1b", "HomotopicalAlgebra.Cofibra...
true
Int8.ofInt_eq_iff_bmod_eq_toInt
Init.Data.SInt.Lemmas
[ "instPowNat", "congrArg", "Int8", "Int8.toInt", "instOfNatNat", "Int", "_private.Init.Data.SInt.Lemmas.0.Int8.ofInt_eq_iff_bmod_eq_toInt._simp_1_1", "iff_self", "instNatPowNat", "Int8.size", "Iff", "HPow.hPow", "Int.bmod", "Nat", "True", "of_eq_true", "congrFun'", "instHPow", "In...
true
Batteries.RBMap.find?_insert
Batteries.Data.RBMap.Lemmas
[ "Eq.mpr", "instDecidableEqOrdering", "Decidable.casesOn", "congrArg", "Batteries.RBMap", "Decidable", "Option.some", "Ordering", "Ordering.eq", "id", "Std.TransCmp", "if_pos", "Eq", "if_neg", "Batteries.RBMap.find?_insert_of_eq", "Not", "Batteries.RBMap.insert", "Batteries.RBMap.fi...
true
Std.Internal.IO.Async.Signal.sigcont.sizeOf_spec
Std.Internal.Async.Signal
[ "instOfNatNat", "Std.Internal.IO.Async.Signal._sizeOf_inst", "Nat", "SizeOf.sizeOf", "Eq.refl", "Std.Internal.IO.Async.Signal", "OfNat.ofNat", "Std.Internal.IO.Async.Signal.sigcont", "Eq" ]
true
Lean.Lsp.ModuleHierarchyOptions
Lean.Data.Lsp.Extra
[ "Lean.Lsp.ModuleHierarchyOptions.mk" ]
true
Mathlib.Meta.FunProp.LambdaTheorems.mk.sizeOf_spec
Mathlib.Tactic.FunProp.Theorems
[ "Mathlib.Meta.FunProp.LambdaTheoremType._sizeOf_inst", "Std.HashMap._sizeOf_inst", "instHashableProd", "Mathlib.Meta.FunProp.LambdaTheoremType", "Mathlib.Meta.FunProp.LambdaTheorems._sizeOf_inst", "Mathlib.Meta.FunProp.LambdaTheorems.mk", "instOfNatNat", "Std.HashMap", "Mathlib.Meta.FunProp.LambdaTh...
true
_private.Batteries.Data.Nat.Bisect.0.Nat.le_add_one_of_avg_eq_right._proof_1_1
Batteries.Data.Nat.Bisect
[ "Nat.lt_of_not_le", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "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.Omega.Int.add_congr", "Lean.Omega...
false
_private.Init.Data.Range.Polymorphic.RangeIterator.0.Std.Rxi.Iterator.instIteratorAccess._simp_1
Init.Data.Range.Polymorphic.RangeIterator
[ "Std.IterStep", "Std.Rxi.Iterator.Monadic.isPlausibleStep_iff", "Std.PRange.UpwardEnumerable", "Std.Rxi.Iterator.Monadic.step", "Std.Rxi.instIteratorIteratorIdOfUpwardEnumerable", "Std.IterM.IsPlausibleStep", "Id", "propext", "Std.Rxi.Iterator", "Std.IterM", "Eq" ]
false
Std.PartialOrderPackage.ofLE
Init.Data.Order.PackageFactories
[ "Std.PreorderPackage.ofLE", "Std.Packages.PartialOrderOfLEArgs.toPreorderOfLEArgs", "Std.PartialOrderPackage.mk", "autoParam", "Std.PartialOrderPackage.ofLE._auto_1", "Std.Packages.PartialOrderOfLEArgs", "Std.PartialOrderPackage", "Std.Packages.PartialOrderOfLEArgs.le_antisymm", "Std.PreorderPackage...
true
Int.succ_neg_natCast_succ
Mathlib.Data.Int.Init
[ "Int.instNegInt", "Int", "Nat.cast", "Nat", "Int.succ", "Int.succ_neg_succ", "instNatCastInt", "Nat.succ", "Eq", "Neg.neg" ]
true
Aesop.traverseDown
Aesop.Tree.Traversal
[ "Inhabited.default", "Aesop.TreeRef", "instInhabitedOfMonad", "Aesop.RappRef", "instInhabitedPUnit", "IO.RealWorld", "MonadLiftT", "Aesop.GoalRef", "Unit", "ST", "Bool", "Monad", "Aesop.MVarClusterRef" ]
true
_private.Mathlib.NumberTheory.NumberField.House.0.NumberField.house.a'.congr_simp
Mathlib.NumberTheory.NumberField.House
[ "Matrix", "_private.Mathlib.NumberTheory.NumberField.House.0.NumberField.house.a'", "RingHom", "Eq.rec", "Int", "Field.toSemifield", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "Eq.refl", "Complex", "NumberField.RingOfIntegers", "Semiring.toNonAssocSemiring", "Eq", "Fiel...
true
Ideal.minimalPrimes_eq_subsingleton
Mathlib.RingTheory.Ideal.MinimalPrime.Basic
[ "Iff.mpr", "Set.ext", "Semiring.toModule", "Membership.mem.out", "Ideal.minimalPrimes", "CommSemiring.toSemiring", "Ideal.le_radical", "PartialOrder.toPreorder", "Ideal.IsMinimalPrime.le", "Preorder.toLE", "Membership.mem", "LE.le.antisymm", "Set.instSingletonSet", "Submodule.instPartialOr...
true
_private.Lean.Elab.BuiltinTerm.0.Lean.Elab.Term.mkFreshTypeMVarFor
Lean.Elab.BuiltinTerm
[ "Pure.pure", "Functor.discard", "Unit.unit", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "Lean.Expr", "Lean.Meta.MetaM", "IO.RealWorld", "liftM", "ReaderT.instMonadLift", "Lean.MetavarKind.synthetic", "Applicative.toPure", "Lean.Name.anonymous", ...
true
Lean.Meta.Simp.DischargeResult.maxDepth
Lean.Meta.Tactic.Simp.Rewrite
[ "Lean.Meta.Simp.DischargeResult.maxDepth", "Lean.Meta.Simp.DischargeResult" ]
true
Mathlib.Tactic.Ring.ExProd.evalIntCast._unsafe_rec
Mathlib.Tactic.Ring.Basic
[ "Qq.QuotedDefEq", "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Mathlib.Tactic.Ring.Common.Result.mk", "_private.Mathlib.Tactic.Ring.Basic.0.Mathlib.Tactic.Ring.ExProd.evalIntCast.match_5", "Lean.MetavarKind.natural", "ReaderT", "instMonadCont...
false
SimpleGraph.Walk.edges_eq_zipWith_support
Mathlib.Combinatorics.SimpleGraph.Walk.Basic
[ "List.zipWith", "Sym2.mk", "congrArg", "HEq.refl", "SimpleGraph.Adj", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "SimpleGraph.Walk.casesOn", "List.tail", "List.cons", "SimpleGraph", "SimpleGraph.Walk.cons", "List", "SimpleGraph.Walk.nil", "SimpleGraph.Walk.rec", "congr", "True",...
true
ProbabilityTheory.measure_le_le_exp_cgf
Mathlib.Probability.Moments.Basic
[ "Real.instIsOrderedRing", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "ProbabilityTheory.mgf_nonneg", "Real.partialOrder", "Real.instLE", "Real", "MeasureTheory.Measure", "IsOrderedRing.toPosMulMono", "le_rfl", "HMul.hMul", "ProbabilityTheory.cgf", "Real.instZero", "congrArg", "setO...
true
Rat.instLattice
Mathlib.Algebra.Order.Ring.Unbundled.Rat
[ "Lattice", "Rat.instDistribLattice", "Rat", "inferInstance", "DistribLattice.toLattice" ]
true
ContinuousLinearEquiv.unitsEquivAut._proof_2
Mathlib.Topology.Algebra.Module.Equiv
[ "Units.val", "Semiring.toModule", "ContinuousLinearMap.smulRight", "congrArg", "ContinuousLinearMap.funLike", "Units", "IsScalarTower.left", "instDistribOfSemiring", "ContinuousLinearMap", "NonUnitalNonAssocSemiring.toAddCommMonoid", "TopologicalSpace", "ContinuousMul", "Inv.inv", "Distrib...
false
CategoryTheory.Limits.coequalizer.π_epi
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
[ "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.coequalizer.hom_ext", "CategoryTheory.Epi.mk", "CategoryTheory.Limits.HasCoequalizer", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Limits.coequalizer", "CategoryTheory.Category.toCategorySt...
true
MeasureTheory.measurableEquiv_range_coe_nat_of_infinite_of_countable
Mathlib.MeasureTheory.Constructions.Polish.EmbeddingReal
[ "Real.partialOrder", "StandardBorelSpace", "Real", "Equiv.trans", "EMetricSpace.metrizableSpace", "AddGroupWithOne.toAddMonoidWithOne", "Topology.IsClosedEmbedding.isClosedMap", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceNat", "Membership.mem", "Set.Elem", "Equiv", "Nonempty.so...
true
_private.Init.Data.String.Lemmas.Iterate.0.String.Slice.Model.positionsFrom.eq_1
Init.Data.String.Lemmas.Iterate
[ "_private.Init.Data.String.Lemmas.Iterate.0.String.Slice.Model.positionsFrom.eq_def", "String.Slice.Model.positionsFrom", "String.Slice.Pos.IsAtEnd", "String.Slice", "Subtype", "String.Slice.Pos.next", "Ne", "String.instDecidableIsAtEnd_1", "dite", "List.cons", "Subtype.mk", "List", "String....
true
FirstOrder.Language.DirectLimit.unify._proof_1
Mathlib.ModelTheory.DirectLimit
[ "Set.mem_range_self", "Preorder.toLE", "Function.comp", "Membership.mem", "upperBounds", "Sigma.fst", "LE.le", "FirstOrder.Language.Embedding", "FirstOrder.Language.Structure", "FirstOrder.Language", "Set.range", "Set.instMembership", "FirstOrder.Language.Structure.Sigma", "Sigma", "Preo...
false
Sbtw.right_mem_image_Ioi
Mathlib.Analysis.Convex.Between
[ "Set.Ioi", "Semiring.toModule", "AffineMap.instFunLike", "AddGroupWithOne.toAddGroup", "sbtw_iff_left_ne_and_right_mem_image_Ioi", "AddCommGroup.toAddCommMonoid", "LinearOrder", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "AffineMap.lineMap", "IsStrictOrderedRing", "AddCom...
true
PredOrder.mk._flat_ctor
Mathlib.Order.SuccPred.Basic
[ "Preorder.toLT", "Preorder.toLE", "PredOrder.mk", "LE.le", "LT.lt", "PredOrder", "IsMin", "Preorder" ]
false
Std.DHashMap.Raw.mem_filterMap
Std.Data.DHashMap.RawLemmas
[ "Iff.mpr", "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Std.DHashMap.Raw.contains_filterMap", "Std.DHashMap.Raw.filterMap", "Iff.of_eq", "congrArg", "Option.any", "Std.DHashMap.Raw.get_get?", "Std.DHashMap.Raw", "LawfulBEq", "Membership.mem", "Exists", "Std.DHa...
true
Module.finiteDimensionalOrder_submodule_iff._simp_1
Mathlib.RingTheory.Length
[ "Submodule", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "AddCommGroup", "Submodule.instPartialOrder", "FiniteDimensionalOrder", "propext", "Module.finiteDimensionalOrder_submodule_iff", "Module", "Ring.toSemiring", "Eq", "Ring", "IsFiniteLength" ]
false
Lean.Try.Config.missing
Init.Try
[ "Bool", "Lean.Try.Config" ]
true
_private.Lean.Elab.App.0.Lean.Elab.Term.ElabAppArgs.fTypeHasOptAutoParams
Lean.Elab.App
[ "_private.Lean.Elab.App.0.Lean.Elab.Term.hasOptAutoParams", "Lean.Elab.Term.ElabAppArgs.M", "Lean.Elab.Term.ElabAppArgs.State", "Lean.Core.instMonadLiftIOCoreM", "Lean.Elab.Term.instMonadTermElabM", "IO.instMonadLiftSTRealWorldBaseIO", "ReaderT", "Lean.Meta.State", "instMonadLiftT", "MonadState.ge...
true
Lean.Meta.Grind.Arith.Linear.EqCnstrProof.ctorElim
Lean.Meta.Tactic.Grind.Arith.Linear.Types
[ "Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coreOfNat", "Lean.Meta.Grind.Arith.Linear.LinExpr", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "Lean.Meta.Grind.Arith.Linear.EqCnstr", "Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coeff", "Lean.Meta.Grind.Arith.Linear.EqCnstrProof.ctorIdx", "Lean.M...
false
_private.Init.Data.String.Lemmas.Pattern.String.ForwardSearcher.0.String.Slice.Pattern.Model.ForwardSliceSearcher.partialMatch_add_one_add_one_iff._proof_1_15
Init.Data.String.Lemmas.Pattern.String.ForwardSearcher
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
_private.Lean.Elab.Tactic.SimpTrace.0.Lean.Elab.Tactic.dsimpLocation'.match_1
Lean.Elab.Tactic.SimpTrace
[ "Unit.unit", "Lean.Elab.Tactic.Location.casesOn", "Lean.Syntax", "Lean.Elab.Tactic.Location.targets", "Array", "Unit", "Lean.Elab.Tactic.Location.wildcard", "Lean.Elab.Tactic.Location", "Bool" ]
false
Finset.divisionMonoid._proof_4
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "instHDiv", "Finset", "DivisionMonoid", "HDiv.hDiv", "DivisionMonoid.toDivInvMonoid", "SetLike.coe", "Finset.instSetLike", "Finset.coe_div", "DivInvMonoid.toDiv", "Finset.div", "Set.div", "Eq", "DecidableEq", "Set" ]
false
AlgebraicGeometry.IsOpenImmersion.lift.congr_simp
Mathlib.AlgebraicGeometry.OpenImmersion
[ "AlgebraicGeometry.Scheme", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CommRingCat", "TopCat.instCategory", "ContinuousMap", "Eq.rec", "CommRingCat.instCategory", "HasSubset.Subset", "AlgebraicGeo...
true
Std.DTreeMap.Internal.Impl.some_getEntryLE_eq_getEntryLE?
Std.Data.DTreeMap.Internal.Model
[ "Ordering.gt", "Eq.mpr", "Std.DTreeMap.Internal.Impl.Ordered.left", "Ord", "congrArg", "Std.TransOrd", "False.elim", "Std.DTreeMap.Internal.Impl.Ordered", "Option.getD", "Option.some", "Membership.mem", "Exists", "Ordering", "Ordering.eq", "Std.DTreeMap.Internal.Impl.getEntryLED", "Std...
true
CategoryTheory.Pretriangulated.Opposite.instHasShiftOppositeInt._proof_18
Mathlib.CategoryTheory.Triangulated.Opposite.Basic
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "Opposite", "CategoryTheory.Functor.OplaxMonoidal.comp._proof_3", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.instCategoryOppositeShift", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.cat...
false
_private.Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral.0.MeasureTheory.hasFiniteIntegral_count_iff._simp_1_4
Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral
[ "NNReal.instTopologicalSpace", "NNReal.summable_coe", "Real", "SummationFilter", "PseudoMetricSpace.toUniformSpace", "NNReal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "propext", "NNReal.instSemiring", "Real.instAddCommMonoid", "Real.pseudoMe...
false
_private.Lean.Environment.0.Lean.finalizeImport.match_3
Lean.Environment
[ "Unit.unit", "Subarray", "Option.casesOn", "Option.some", "Prod.mk", "Option.none", "Unit", "Prod", "Lean.ConstantInfo", "Prod.casesOn", "Option" ]
false
_private.Mathlib.Algebra.Polynomial.HasseDeriv.0.Polynomial.natDegree_hasseDeriv_le._proof_1_7
Mathlib.Algebra.Polynomial.HasseDeriv
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "HMul.hMul", "eq_false", "Int.Linear.Expr.eq_of_norm_eq", "congrArg", "Int.Linear.le_norm_expr", "Int.Linear.le_unsat", "Int.Linear.le_neg", "Classical.byContradiction", "PartialOrder.toPreorder", "HSub.hSub", "Nat.not_le_eq", "Nat.To...
false
AddSubmonoid.LocalizationMap.epic_of_localizationMap
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Eq.mpr", "AddMonoidHom.instAddMonoidHomClass", "congrArg", "AddMonoid.toAddZeroClass", "Membership.mem", "Exists", "AddSubmonoid.LocalizationMap", "AddZeroClass.toAddZero", "id", "Subtype", "AddSubmonoid.LocalizationMap.instFunLike", "Prod.mk", "AddSubmonoid", "AddSubmonoid.LocalizationMa...
true
FourierModule.noConfusion
Mathlib.Analysis.Fourier.Notation
[ "instHSMul", "FourierTransform", "HEq.refl", "SMul", "FourierModule.noConfusionType", "instHAdd", "HAdd.hAdd", "FourierTransform.fourier", "eq_of_heq", "Eq.ndrec", "FourierModule.casesOn", "HEq", "HSMul.hSMul", "Eq", "FourierModule", "Add" ]
false
AnalyticWithinAt.mono_of_mem_nhdsWithin
Mathlib.Analysis.Analytic.Basic
[ "Filter.instMembership", "NormedSpace", "FormalMultilinearSeries", "AddCommGroup.toAddCommMonoid", "nhdsWithin", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "NormedField.toField", "HasFPowerSeriesAt._proof_2", "AnalyticWithinAt", "HasFPowerSeriesAt._proof_1", ...
true
Set.zero_mem_zero
Mathlib.Algebra.Group.Pointwise.Set.Basic
[ "Membership.mem", "Set.zero", "Zero.toOfNat0", "Eq.refl", "OfNat.ofNat", "Set.instMembership", "Zero", "Set" ]
true
Hindman.FS.tail
Mathlib.Combinatorics.Hindman
[ "Hindman.FS.tail'", "Membership.mem", "AddSemigroup", "Stream'", "Hindman.FS", "Stream'.tail", "Set.instMembership", "Set" ]
true
NormedAddGroupHom.zsmul_apply
Mathlib.Analysis.Normed.Group.Hom
[ "NormedAddGroupHom", "instHSMul", "SeminormedAddCommGroup", "AddCommGroup.toAddGroup", "NormedAddGroupHom.funLike", "Int", "NormedAddGroupHom.zsmul", "AddGroup.toSubNegMonoid", "SeminormedAddCommGroup.toAddCommGroup", "HSMul.hSMul", "Eq", "DFunLike.coe", "rfl", "SubNegMonoid.toZSMul" ]
true
Module.FinitePresentation.linearEquivMap._proof_7
Mathlib.Algebra.Module.FinitePresentation
[ "CommRing", "instSMulOfMul", "Monoid.toMulOneClass", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "IsScalarTower", "AddCommGroup", "MulOne.toMul", "LinearMap.module", "LinearMap", "IsScalarTower.left", "smulCommClass_self", "MulOneClass.toMulOne", "CommRing.toCommSemiring", ...
false
Lean.Meta.DSimp.Config.etaStruct._default
Init.MetaTypes
[ "id", "Lean.Meta.EtaStructMode.all", "Lean.Meta.EtaStructMode" ]
false
CategoryTheory.Limits.ImageMap.mk.injEq
Mathlib.CategoryTheory.Limits.Shapes.Images
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Eq.propIntro", "CategoryTheory.Arrow.Hom.right", "CategoryTheory.Limits.image.ι", "CategoryTheory.Arrow.left", "CategoryTheory.Arrow.hom", "autoParam", "CategoryTheory.Limits.ImageMap", "CategoryTheory.Limits.image", "CategoryTheory.Catego...
true
Std.HashSet.get_beq
Std.Data.HashSet.Lemmas
[ "Std.HashMap.getKey_beq", "Std.HashSet.instMembership", "Std.HashSet", "Membership.mem", "Std.HashSet.get", "LawfulHashable", "Bool.true", "BEq.beq", "Unit", "EquivBEq", "Std.HashSet.inner", "Bool", "Hashable", "BEq", "Eq" ]
true
Finset.neg.eq_1
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Finset", "Neg.mk", "Neg", "Finset.neg", "Eq.refl", "Eq", "Finset.image", "Neg.neg", "DecidableEq" ]
true
CategoryTheory.Limits.PushoutCocone.pasteHoriz
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Pasting
[ "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.PushoutCocone.inr", "CategoryTheory.Limits.PushoutCocone.inl", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.WidePushoutShape.category", "CategoryTheory.Limits.PushoutCocon...
true
mem_derangements_iff_fixedPoints_eq_empty
Mathlib.Combinatorics.Derangements.Basic
[ "Equiv.instEquivLike", "Function.fixedPoints", "Membership.mem", "Iff", "Set.eq_empty_iff_forall_notMem", "Equiv.Perm", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Eq", "Set.instMembership", "DFunLike.coe", "derangements", "Not", "Iff.symm", "EquivLike.toFunLike", "S...
true
Matrix.reindex_trans
Mathlib.LinearAlgebra.Matrix.Defs
[ "Equiv.instEquivLike", "Equiv.trans", "Matrix", "Equiv", "Equiv.ext", "Matrix.submatrix_submatrix", "Matrix.reindex", "Equiv.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
Std.ExtTreeMap.maxKey!_le_maxKey!_insert
Std.Data.ExtTreeMap.Lemmas
[ "Std.ExtTreeMap.maxKey!", "Std.ExtTreeMap.mk", "Ordering", "mt", "Std.ExtDTreeMap.maxKey!_le_maxKey!_insert", "Ne", "Std.ExtDTreeMap.instEmptyCollection", "Std.TransCmp", "Bool.true", "Std.ExtTreeMap", "_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.ext", "Std.ExtTreeMap.inner", "Std.E...
true
lt_iff_transGen_covBy
Mathlib.Order.Interval.Finset.Basic
[ "transGen_covBy_of_lt", "Preorder.toLT", "CovBy", "Iff", "And.left", "LT.lt", "Relation.TransGen", "Iff.intro", "LT.lt.trans", "LocallyFiniteOrder", "Not", "Relation.TransGen.rec", "Preorder" ]
true
_private.Std.Data.DTreeMap.Internal.Zipper.0.Std.DTreeMap.Internal.Zipper.prependMap_eq_prependMapGT_self
Std.Data.DTreeMap.Internal.Zipper
[ "Eq.mpr", "Std.DTreeMap.Internal.Impl.Ordered.left", "Ord", "congrArg", "true_or", "Std.DTreeMap.Internal.Impl.rec", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Std.DTreeMap.Internal.Impl.toList", "Membership.mem", "Ordering", "Eq.mp", "Std.DTreeMap.Internal.Impl.inner", "id", ...
true
_private.Init.Data.List.TakeDrop.0.List.dropWhile_filter._simp_1_1
Init.Data.List.TakeDrop
[ "Option.guard", "List", "List.filter", "Bool", "List.filterMap", "Eq.symm", "Eq", "List.filterMap_eq_filter" ]
false
_private.Mathlib.Order.Interval.Finset.Basic.0.Finset.Ico_diff_Ico_right._proof_1_1
Mathlib.Order.Interval.Finset.Basic
[ "instLawfulOrderLT_mathlib", "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "of_eq_false", "False", "Lean.Grind.and_eq_of_eq_true_right", "Preorder.toLT", "Lean.Grind.not_not", "eq_false", "LinearOrder.toDecidableEq", "Lean.Grind.iff_eq", "congrArg", "Lean.Grind.Order.le_o...
false
_private.Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas.0.Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.deleteOne_preserves_assignments_size._proof_1_4
Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas
[ "Lean.Grind.Nat.lt_eq", "instOfNatNat", "LE.le", "instLENat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "instAddNat", "instLTNat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultClause", "OfNat.ofNat", "Array.size", "Std.Tactic...
false
Finset.invMulSubgroup.eq_1
Mathlib.Combinatorics.Additive.VerySmallDoubling
[ "Rat.instOfNat", "Rat.instMul", "instHDiv", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Finset.invMulSubgroup._proof_10", "Monoid.toMulOneClass", "Subsemigroup.mk", "Finset", "Rat", "Finset.invMulSubgroup", "Group", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "Subgro...
true
Lean.Elab.Tactic.mkSimpCallStx
Lean.Elab.Tactic.SimpTrace
[ "Pure.pure", "Lean.TSyntax", "ReaderT", "Monad.toApplicative", "Lean.Meta.State", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Meta.MetaM", "IO.RealWorld", "Applicative.toPure", "List.cons", "Lean.Core.CoreM", "Lean.Meta.instMonadMetaM", "StateRefT'", "Monad.toBind", "Bind.bind", "Lean.Sy...
true
WeierstrassCurve.Projective.add_self
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point
[ "CommRing", "WeierstrassCurve.Projective.dblXYZ", "WeierstrassCurve.Projective.instSetoidForallFinOfNatNat", "instOfNatNat", "WeierstrassCurve.Projective", "WeierstrassCurve.Projective.add_of_equiv", "Nat", "Setoid.refl", "WeierstrassCurve.Projective.add", "OfNat.ofNat", "Fin", "Eq" ]
true
List.prod_pos
Mathlib.Algebra.Order.BigOperators.GroupWithZero.List
[ "MulOne.toOne", "Preorder.toLT", "MulZeroClass.toMul", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "PartialOrder", "Eq.mp", "zero_lt_one._simp_1", "id", "ZeroLEOneClass", "List.rec", "CommMonoidWithZero.toMonoidWithZero", "List.cons", "MulZeroOneClass.toMulOneClass", ...
true
mabs_one
Mathlib.Algebra.Order.Group.Unbundled.Abs
[ "Lattice", "InvOneClass.toOne", "le_rfl", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "mabs_of_one_le", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "Group.toDivisionMonoid", "DivisionMonoid.toDivInvOneMonoid", "SemilatticeInf.toPartialOrder", "MulLeftMono", "MulOne.to...
true
Holor.zero_mul
Mathlib.Data.Holor
[ "MulZeroClass.toMul", "MulZeroClass.zero_mul", "MulZeroClass", "Holor.instZero", "funext", "instHAppendOfAppend", "List", "Nat", "Zero.toOfNat0", "Holor.mul", "Holor", "HolorIndex.drop", "List.instAppend", "OfNat.ofNat", "Eq", "HAppend.hAppend", "MulZeroClass.toZero", "HolorIndex" ...
true
Fin.predAbove_surjective
Mathlib.Data.Fin.SuccPred
[ "Fin.not_le", "Fin.succ", "congrArg", "Exists", "Eq.mp", "Fin.predAbove_castSucc_of_le", "instOfNatNat", "LE.le", "Fin.predAbove", "dite", "instLEFin", "instHAdd", "HAdd.hAdd", "Fin.le_of_lt", "Nat", "LT.lt", "instLTFin", "Fin.predAbove_succ_of_le", "propext", "Exists.intro", ...
true
Std.DTreeMap.getKey?_maxKey
Std.Data.DTreeMap.Lemmas
[ "Std.DTreeMap", "Std.DTreeMap.isEmpty", "Ord.mk", "Option.some", "Ordering", "Std.DTreeMap.inner", "Std.DTreeMap.maxKey", "Std.TransCmp", "Std.DTreeMap.getKey?", "Std.DTreeMap.wf", "Bool", "Bool.false", "Eq", "Std.DTreeMap.Internal.Impl.getKey?_maxKey", "Option" ]
true
NONote.opow
Mathlib.SetTheory.Ordinal.Notation
[ "NONote.opow._proof_1", "ONote.NF", "HPow.hPow", "ONote.instPow", "NONote.mk", "instHPow", "NONote", "Subtype.val", "ONote" ]
true
CliffordAlgebra.gradedAlgebra
Mathlib.LinearAlgebra.CliffordAlgebra.Grading
[ "Submodule", "CommRing", "Semiring.toModule", "Equiv.instEquivLike", "HMul.hMul", "ZMod.commRing", "Algebra.algebraMap", "CliffordAlgebra.gradedAlgebra._proof_2", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "CliffordAlgebra", "AlgHom", "CliffordAlgebra.gradedAlgebra._proof_3",...
true
HasMemOrInvMem.rec
Mathlib.Algebra.Group.Subgroup.Defs
[ "SetLike", "Inv", "HasMemOrInvMem", "Membership.mem", "Inv.inv", "HasMemOrInvMem.mk", "Or", "SetLike.instMembership" ]
false
_private.Lean.Elab.App.0.Lean.Elab.Term.resolveDottedIdentFn.throwNoExpectedType._proof_1
Lean.Elab.App
[ "_private.Lean.Elab.App.0.Lean.Elab.Term.resolveDottedIdentFn._proof_1", "instOfNatNat", "Array", "Nat", "LT.lt", "Decidable.byContradiction", "Nat.decLt", "Lean.Name", "instLTNat", "OfNat.ofNat", "Eq", "Array.size", "Not" ]
false
CategoryTheory.Bicategory.LeftExtension.whiskerIso._proof_2
Mathlib.CategoryTheory.Bicategory.Extension
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Iso.hom_inv_id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.Iso", "CategoryTheory.Bicategory.LeftExtension", "CategoryTheory.Bicategory.toCategoryStruct", "Categor...
false
IsTopologicalGroup.mulInvClosureNhd.mk._flat_ctor
Mathlib.Topology.Algebra.OpenSubgroup
[ "Filter.instMembership", "InvOneClass.toOne", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "nhds", "MulOne.toMul", "DivInvMonoid.toMonoid", "HasSubset.Subset", "IsTopologicalGr...
false
Std.Sat.AIG.mkOrCached_le_size
Std.Sat.AIG.CachedGatesLemmas
[ "Std.Sat.AIG.Entrypoint.aig", "Std.Sat.AIG.Decl", "Std.Sat.AIG.BinaryInput", "Std.Sat.AIG.mkOrCached", "id", "Std.Sat.AIG.BinaryInput.invert", "LE.le", "instLENat", "Std.Sat.AIG.mkGateCached", "Bool.true", "Std.Sat.AIG", "Nat", "Hashable", "Array.size", "Std.Sat.AIG.LawfulOperator.le_siz...
true
AddChar.expect_eq_ite
Mathlib.Analysis.Fourier.FiniteAbelian.Orthogonality
[ "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMonoidWithOne", "IsDomain", "False", "instHDiv", "GroupWithZero.toDivisionMonoid", "InvOneClass.toOne", "GroupWithZero.toDivInvMonoid", "Finset.univ", "DivInvOneMonoid.toInvOneClass", "Finset.expect", "AddChar.sum_eq_ite", "congrAr...
true
_private.Mathlib.Algebra.Group.Submonoid.Finite.0.AddSubmonoid.pi_le_iff.match_1_1
Mathlib.Algebra.Group.Submonoid.Finite
[ "AddMonoidHom.instAddMonoidHomClass", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid", "And.casesOn", "AddMonoidHom.single", "And", "AddZeroClass", "Exists.casesOn", "SetLike.coe", "Pi.addZeroClass", "AddSubmonoid.map", "And.intro", "Exists.intro", "AddMonoidHom", "AddMonoid...
false
RCLike.norm_re_le_norm
Mathlib.Analysis.RCLike.Basic
[ "Norm.norm", "Real.instLE", "Real", "AddMonoid.toAddSemigroup", "RCLike.abs_re_le_norm", "Real.instAddMonoid", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "NormedField.toField", "AddZeroClass.toAddZero", "NormedField.toNorm", "LE.le", "Field.toCommRing", "RCLike.toDenselyNormedField", ...
true
MonoidAlgebra.mapRangeRingEquiv_trans
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "MonoidAlgebra.semiring", "Monoid", "MonoidAlgebra.mapRingEquiv", "Monoid.toMulOneClass", "MonoidAlgebra.mapRingEquiv_trans", "MonoidAlgebra.instMul", "MulOne.toMul", "Distrib.toAdd", "instDistribOfSemiring", "MulOneClass.toMulOne", "Distrib.toMul", "MonoidAlgebra", "Semiring", "RingEquiv....
true
CategoryTheory.StrictPseudofunctorPreCore._sizeOf_1
Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.eqToHom", "CategoryTheory.StrictPseudofunctorPreCore", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Bicategory.whiskerRight", "CategoryTheory.PrelaxFunctorStruct.map₂", "CategoryTheory.Bicategory.toCategoryStruct", "Categ...
false
MulDistribMulActionHom.id_comp
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "Eq.mpr", "MulDistribMulActionHom.comp", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "MulDistribMulActionHom.instFunLike", "MonoidHom.CompTriple.instIsId", "id", "MulOneClass.toMulOne", "MulDistribMulActionHom.ext", "MonoidHom.CompTriple.instId_comp", "MonoidHom.id", "Eq.ref...
true
Algebra.FinitePresentation.out
Mathlib.RingTheory.FinitePresentation
[ "RingHom.instRingHomClass", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "AddMonoidAlgebra.algebra", "Finsupp.instAddMonoid", "Algebra", "Nat.instAddMonoid", "RingHom", "Exists", "Algebra.id", "Ideal.FG", "CommSemiring", "A...
true
LocalSubring.eq_iInf_of_isIntegrallyClosedIn
Mathlib.RingTheory.Valuation.LocalSubring
[ "False", "iInf", "le_rfl", "Subring.instSetLike", "LocalSubring.instPartialOrder", "PartialOrder.toPreorder", "LocalSubring.exists_le_valuationSubring_of_isIntegrallyClosedIn", "le_iInf", "IsIntegrallyClosedIn", "Preorder.toLE", "Membership.mem", "Exists", "Field.toDivisionRing", "Algebra....
true
Units.exists_iff_ne_zero._simp_1
Mathlib.Algebra.GroupWithZero.Units.Basic
[ "Units.val", "GroupWithZero.toMonoidWithZero", "GroupWithZero", "Exists", "Units", "Ne", "And", "MonoidWithZero.toMulZeroOneClass", "Units.exists_iff_ne_zero", "propext", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "OfNat.ofNat", "Eq", "MonoidWithZero.toMonoid", "MulZeroClass.to...
false
PrimeSpectrum.isClosed_range_of_stableUnderSpecialization
Mathlib.RingTheory.Spectrum.Prime.Topology
[ "isClosed_univ", "Eq.mpr", "Set.image_univ", "StableUnderSpecialization", "congrArg", "CommSemiring.toSemiring", "Set.univ", "RingHom", "Eq.mp", "id", "CommSemiring", "IsClosed", "PrimeSpectrum", "Set.image", "Set.range", "PrimeSpectrum.comap", "Eq.symm", "Semiring.toNonAssocSemiri...
true
Array.find?_range'_eq_some
Init.Data.Array.Range
[ "Eq.mpr", "Bool.not", "List.mem_range'_1._simp_1", "congrArg", "List.range'", "List.toArray_range'", "List.find?", "Array.instMembership", "Option.some", "Membership.mem", "id", "instOfNatNat", "LE.le", "instLENat", "List.find?_range'_eq_some._simp_1", "List.toArray", "Array", "iff...
true
CategoryTheory.Presieve.FunctorPushforwardStructure.cover
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Presieve.FunctorPushforwardStructure", "CategoryTheory.Presieve.FunctorPushforwardStructure.preobj", "CategoryTheory.Presieve.FunctorPushforwardStructure.premap", "CategoryTheor...
true
GroupSeminorm.groupSeminormClass
Mathlib.Analysis.Normed.Group.Seminorm
[ "Real.partialOrder", "Real", "Monoid.toMulOneClass", "MulLEAddHomClass.mk", "PartialOrder.toPreorder", "Group", "Preorder.toLE", "MulOne.toMul", "DivInvMonoid.toMonoid", "GroupSeminorm", "GroupSeminorm.inv'", "Group.toDivInvMonoid", "MulOneClass.toMulOne", "GroupSeminorm.map_one'", "Real...
true
MulDistribMulActionHom.toMulActionHom
Mathlib.GroupTheory.GroupAction.Hom
[ "Monoid", "MonoidHom.instFunLike", "MonoidHom", "Monoid.toMulOneClass", "MulOneClass.toMulOne", "Monoid.toSemigroup", "MulDistribMulAction.toMulAction", "SemigroupAction.toSMul", "MulActionHom", "MulAction.toSemigroupAction", "MulDistribMulAction", "DFunLike.coe", "MulDistribMulActionHom" ]
true
Mathlib.Tactic.IntervalCases.Methods.proveLE
Mathlib.Tactic.IntervalCases
[ "Lean.Expr", "Lean.Meta.MetaM", "Mathlib.Tactic.IntervalCases.Methods" ]
true
_private.Mathlib.Topology.Sets.VietorisTopology.0.TopologicalSpace.vietoris.continuous_iff._simp_1_6
Mathlib.Topology.Sets.VietorisTopology
[ "Compl.compl", "Set.subset_compl_iff_disjoint_right", "Disjoint", "SemilatticeInf.toPartialOrder", "BiheytingAlgebra.toHeytingAlgebra", "HasSubset.Subset", "BiheytingAlgebra.toCoheytingAlgebra", "Set.instCompl", "BooleanAlgebra.toBiheytingAlgebra", "Set.instBooleanAlgebra", "propext", "Coheyti...
false
CategoryTheory.Localization.lift₃._proof_1
Mathlib.CategoryTheory.Localization.Trifunctor
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.Functor.IsLocalization.prod", "CategoryTheory.MorphismProperty.Prod.containsIdentities", "CategoryTheory.MorphismProperty.prod", "CategoryTheory.Functor.prod", "CategoryTheory.Functor.IsLocalization", "CategoryTheory.prod'", ...
false
Lean.Server.FileWorker.LeanSemanticToken._sizeOf_1
Lean.Server.FileWorker.SemanticHighlighting
[ "Lean.Server.FileWorker.LeanSemanticToken.rec", "Lean.Syntax._sizeOf_inst", "Lean.Syntax", "Lean.Lsp.SemanticTokenType", "instOfNatNat", "Lean.Server.FileWorker.LeanSemanticToken", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "instSizeOfNat", "OfNat.ofNat", "Lean.Lsp.Sema...
false