name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
CategoryTheory.Abelian.LeftResolution.chainComplexMap_f_succ_succ
Mathlib.Algebra.Homology.LeftResolution.Basic
[ "PSigma.snd", "CategoryTheory.Abelian.toPreadditive", "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Abelian.LeftResolution.chainComplexMap._proof_8", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTh...
true
instMulActionRayVector._proof_1
Mathlib.LinearAlgebra.Ray
[ "Iff.mpr", "instHSMul", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "Group", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "DivInvMonoid.toMonoid", "Ne", "AddCommMonoid", "Group.toDivInvMonoid", "AddZero.toZero", "DistribMulAction", "Zero.toOfNat0", "HSMul.hS...
false
AntivaryOn.card_mul_sum_le_sum_mul_sum
Mathlib.Algebra.Order.Chebyshev
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "IsOrderedModule.toPosSMulMono", "instHSMul", "Semiring.toModule", "HMul.hMul", "IsStrictOrderedModule.toIsOrderedModule", "congrArg", "DistribMulAction.toDistribSMul", "Finset", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toP...
true
PSigma.fintypePropRight.match_5
Mathlib.Data.Fintype.Basic
[ "Subtype.casesOn", "Subtype", "Subtype.mk" ]
false
AlgebraicGeometry.IsClosedImmersion.lift_fac
Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion
[ "AlgebraicGeometry.IsClosedImmersion.instIsIsoSchemeToImage", "AlgebraicGeometry.Scheme.IdealSheafData.inclusion", "Eq.mpr", "CategoryTheory.Category.assoc", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.Hom.image", "AlgebraicGeometry.Scheme.Hom.imageι", "CategoryTheory.CategoryStruct.toQuiver...
true
Aesop.CoreRuleBuilderOutput.noConfusion
Aesop.Builder.Basic
[ "Aesop.IndexingMode", "Aesop.CoreRuleBuilderOutput", "Aesop.ScopeName", "Aesop.RuleTacDescr", "Aesop.BuilderName", "Aesop.RulePattern", "Aesop.CoreRuleBuilderOutput.casesOn", "Aesop.CoreRuleBuilderOutput.noConfusionType", "Eq.ndrec", "Lean.Name", "Eq.refl", "Eq", "Option" ]
false
Continuous.compCM
Mathlib.Topology.CompactOpen
[ "Continuous", "ContinuousMap", "Continuous.comp", "instTopologicalSpaceProd", "ContinuousMap.comp", "Prod.mk", "Prod.fst", "LocallyCompactPair", "TopologicalSpace", "ContinuousMap.continuous_comp'", "Prod", "ContinuousMap.compactOpen", "Prod.snd", "Continuous.prodMk" ]
true
Equiv.Perm.OnCycleFactors.nat_card_range_toPermHom
Mathlib.GroupTheory.Perm.Centralizer
[ "Multiset.toFinset", "Eq.mpr", "Equiv.Perm.support", "_private.Mathlib.GroupTheory.Perm.Centralizer.0.Equiv.Perm.OnCycleFactors.nat_card_range_toPermHom._simp_1_6", "MonoidHom.range", "Equiv.Perm.cycleType", "Equiv.instEquivLike", "_private.Mathlib.GroupTheory.Perm.Centralizer.0.Equiv.Perm.OnCycleFact...
true
NonUnitalStarAlgebra.elemental.isClosedEmbedding_coe
Mathlib.Topology.Algebra.NonUnitalStarAlgebra
[ "Eq.mpr", "instSMulOfMul", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "IsScalarTower", "ContinuousStar", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "id", "Subtype", "DistribSMul.toSMulZeroClass", "NonUnitalStarAlgebra.elemental.isC...
true
String.startsWith_char_iff_get
Init.Data.String.Lemmas.Pattern.TakeDrop.Char
[ "String.toSlice", "Iff.mpr", "String.Pos.get_toSlice._proof_1", "String.endPos_toSlice", "Iff.of_eq", "congrArg", "String", "String.Pos.get_toSlice", "_private.Init.Data.String.Lemmas.Pattern.TakeDrop.Char.0.String.startsWith_char_iff_get._simp_1_1", "String.startPos_toSlice", "String.Pos.toSlic...
true
CategoryTheory.Conv.instMul
Mathlib.CategoryTheory.Monoidal.Conv
[ "CategoryTheory.ComonObj.comul", "Mul.mk", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.MonoidalCategory", "Mul", "CategoryTheory.ComonObj", "CategoryTheory.MonoidalCategoryStruct.whiskerRight", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.CategoryStruct...
true
_private.Mathlib.Data.Seq.Basic.0.Stream'.Seq.getElem?_toList._simp_1_4
Mathlib.Data.Seq.Basic
[ "Decidable", "Option.some", "Option.none", "And", "propext", "Option.ite_none_right_eq_some", "Eq", "Option", "ite" ]
false
LaurentPolynomial.degree_T_le
Mathlib.Algebra.Polynomial.Laurent
[ "LaurentPolynomial.T", "WithBot.instPreorder", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "RingHom.instRingHomClass", "MulOne.toOne", "AddMonoidAlgebra.semiring", "WithBot.some", "WithBot", "HMul.hMul", "congrArg", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "LaurentPo...
true
Real.fderiv_fourier
Mathlib.Analysis.Fourier.FourierTransformDeriv
[ "VectorFourier.fourierSMulRight", "Norm.norm", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearMap.toNormedAddCommGroup", "Real", "measureSpaceOfInnerProductSpace", "HMul.hMul", "NormedSpace", "Complex.commRing", "Real.denselyNormedField", "Real.instR...
true
CategoryTheory.FinCategory.mk
Mathlib.CategoryTheory.FinCategory.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.SmallCategory", "autoParam", "CategoryTheory.FinCategory.fintypeObj._autoParam", "CategoryTheory.FinCategory.fintypeHom._autoParam", "Fintype", "CategoryTheory.FinCategory", "CategoryTheory.Category.toCategoryStruct", "Categor...
true
_private.Mathlib.RingTheory.ZariskisMainTheorem.0.Algebra.zariskisMainProperty_iff_exists_saturation_eq_top._simp_1
Mathlib.RingTheory.ZariskisMainTheorem
[ "Monoid", "Monoid.toMulOneClass", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "LE.le", "Submonoid.instPartialOrder", "Submonoid.powers", "propext", "Submonoid.instSetLike", "Eq", "SetLike.instMembership", "Submonoid", "Submonoid.powers_le" ]
false
mem_tangentConeAt_of_add_smul_mem
Mathlib.Analysis.Calculus.TangentCone.Basic
[ "GroupWithZero.toMonoidWithZero", "False", "inv_smul_smul₀", "instHSMul", "GroupWithZero.toDivisionMonoid", "DivInvOneMonoid.toInvOneClass", "eq_false", "ContinuousSMul", "tendsto_nhdsWithin_iff", "congrArg", "DistribMulAction.toDistribSMul", "tendsto_const_nhds", "AddCommGroup.toAddCommMono...
true
AddSubgroup.index
Mathlib.GroupTheory.Index
[ "Nat.card", "AddSubgroup", "HasQuotient.Quotient", "AddGroup", "Nat", "QuotientAddGroup.instHasQuotientAddSubgroup" ]
true
NumberField.mixedEmbedding.convexBodyLT'_volume
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody
[ "instWeaklyLocallyCompactSpaceOfLocallyCompactSpace", "NumberField.InfinitePlace.mult_isComplex", "instInnerProductSpaceRealComplex", "Mathlib.Tactic.Ring.Common.mul_pf_left", "Set.instSProd", "AddGroup.toSubtractionMonoid", "Set.ext", "Finset.mem_univ", "MeasurableEquiv.instEquivLike", "Real.inst...
true
Std.ExtTreeMap.toList_inj
Std.Data.ExtTreeMap.Lemmas
[ "_private.Std.Data.ExtTreeMap.Lemmas.0.Std.ExtTreeMap.ext_iff", "Std.ExtDTreeMap.Const.toList", "Ordering", "Std.TransCmp", "List", "Iff", "Std.ExtTreeMap", "Std.ExtTreeMap.inner", "Std.ExtDTreeMap", "Iff.trans", "Std.ExtDTreeMap.Const.toList_inj", "Prod", "Std.ExtTreeMap.toList", "Eq", ...
true
Num.commSemiring._proof_4
Mathlib.Data.Num.Lemmas
[ "Eq.mpr", "MulOne.toOne", "Nat.instMulZeroClass", "HMul.hMul", "Nat.instOne", "congrArg", "Nat.instMulOneClass", "id", "MulOne.toMul", "instMulNat", "instOneNum", "castNum", "AddMonoidWithOne.toOne", "Num", "MulOneClass.toMulOne", "Num.cast_one", "Nat", "propext", "Num.instMul", ...
false
ContinuousLinearMapWOT.postcompCLM._proof_2
Mathlib.Analysis.LocallyConvex.WeakOperatorTopology
[ "ContinuousLinearMap.comp", "instHSMul", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "ContinuousLinearMapWOT", "AddCommGroup.toAddGroup", "RingHom", "NormedField.toField", "AddZeroClass.toAddZero", "RingHomCompTriple", "AddCommGro...
false
CategoryTheory.HasClassifier.comm
Mathlib.CategoryTheory.Subobject.Classifier.Defs
[ "CategoryTheory.Mono", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Subobject.Classifier.Ω₀", "CategoryTheory.HasSubobjectClassifier.χ", "Nonempty.some", "CategoryTheory.HasSubobjectClassifier.truth", "CategoryTheory.Subobject.Classifier.χ₀", "CategoryTheory.HasSubobjectCl...
true
Lean.PersistentHashMap.findAux
Lean.Data.PersistentHashMap
[ "Inhabited.default", "Lean.PersistentHashMap.Node", "instInhabitedOption", "BEq", "USize", "Option" ]
true
QuotientAddGroup.Quotient.addGroup._proof_14
Mathlib.GroupTheory.QuotientGroup.Defs
[ "QuotientAddGroup.con._proof_1", "AddMonoid.toAddSemigroup", "AddCon.add", "QuotientAddGroup.Quotient.addGroup._proof_7", "SubNegMonoid.mk", "Add.mk", "QuotientAddGroup.Quotient.addGroup._aux_9", "AddMonoid.toAddZeroClass", "Neg.mk", "AddMonoid.toZero", "HSub.hSub", "AddCon.addGroup._proof_5",...
false
MeasureTheory.integrable_stoppedValue_of_mem_finset
Mathlib.Probability.Process.Stopping
[ "Eq.mpr", "MeasureTheory.IsStoppingTime", "MeasureTheory.stoppedValue", "MeasureTheory.Measure", "Finset", "PartialOrder.toPreorder", "_private.Mathlib.Probability.Process.Stopping.0.MeasureTheory.integrable_stoppedValue_of_mem_finset._simp_1_2", "PseudoMetricSpace.toUniformSpace", "MeasureTheory.In...
true
Lean.Sym.Nat.eq_eq_true
Init.Sym.Lemmas
[ "congrArg", "Eq.mp", "id", "Bool.true", "Nat", "True", "eq_self", "Bool", "of_eq_true", "congrFun'", "decide_eq_true_eq", "instDecidableEqNat", "Decidable.decide", "Eq", "Eq.trans" ]
true
_private.Mathlib.LinearAlgebra.Eigenspace.Basic.0.Module.End.genEigenspace_top_eq_maxUnifEigenspaceIndex._simp_1_2
Mathlib.LinearAlgebra.Eigenspace.Basic
[ "LE.le", "OrderTop", "LE", "OrderTop.toTop", "le_top", "True", "eq_true", "Top.top", "Eq" ]
false
Bialgebra.toLinearMap_counitAlgHom
Mathlib.RingTheory.Bialgebra.Basic
[ "AlgHom.toLinearMap", "Coalgebra.toCoalgebraStruct", "Bialgebra.toCoalgebra", "CommSemiring.toSemiring", "CoalgebraStruct.counit", "Algebra.toModule", "Algebra.id", "LinearMap", "Bialgebra.counitAlgHom", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Bialgebra", "NonAssocSemir...
true
MeasureTheory.L1.SimpleFunc.setToL1S_add_left
Mathlib.MeasureTheory.Integral.SetToL1
[ "Real", "MeasureTheory.Measure", "NormedSpace", "AddCommGroup.toAddCommMonoid", "NormedSpace.toModule", "MeasureTheory.SimpleFunc.setToSimpleFunc_add_left", "MeasureTheory.Lp.simpleFunc.toSimpleFunc", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "AddSubgroup.toAddGroup", "Membe...
true
CategoryTheory.ChosenPullbacksAlong.Over.whiskerRight_left_snd
Mathlib.CategoryTheory.LocallyCartesianClosed.Over
[ "CategoryTheory.Over", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Over.Hom.left", "CategoryTheory.Comma.left", "CategoryTheory.ChosenPullbacksAlong.snd", "CategoryTheory.Functor.id", "CategoryTheory.SemiCartesianMonoidalCategory.snd", "CategoryTheory.instCategoryOver", ...
true
instIsRightAdjointLightCondSetLightCondModForget
Mathlib.Condensed.Light.Module
[ "LightCondensed._proof_1", "CategoryTheory.Functor", "Opposite", "ModuleCat", "SecondCountableTopology", "LightCondensed.freeForgetAdjunction", "CategoryTheory.Functor.category", "CategoryTheory.Functor.IsRightAdjoint", "TotallyDisconnectedSpace", "TopCat.str", "And", "TopCat.carrier", "Cate...
true
_private.Mathlib.RingTheory.Ideal.AssociatedPrime.Localization.0.Module.associatedPrimes.comap_mem_associatedPrimes_of_mem_associatedPrimes_of_isLocalizedModule_of_fg._simp_1_1
Mathlib.RingTheory.Ideal.AssociatedPrime.Localization
[ "Semiring.toModule", "Membership.mem", "Ideal", "NonUnitalNonAssocSemiring.toAddCommMonoid", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "Submodule.setLike", "Ideal.comap", "propext", "Semiring", "Eq.symm", "Ideal.mem_comap", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "SetL...
false
CategoryTheory.PreZeroHypercoverFamily.noConfusionType
Mathlib.CategoryTheory.Sites.Hypercover.ZeroFamily
[ "CategoryTheory.PreZeroHypercoverFamily.casesOn", "CategoryTheory.PreZeroHypercover.shrink", "CategoryTheory.PreZeroHypercover", "Iff", "CategoryTheory.PreZeroHypercover.instCategory", "HEq", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.ObjectProperty", "CategoryTheory.PreZeroHypercov...
false
HomotopicalAlgebra.CofibrantObject.HoCat
Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
[ "CategoryTheory.Quotient", "HomotopicalAlgebra.ModelCategory.categoryWithCofibrations", "HomotopicalAlgebra.CofibrantObject.homRel", "HomotopicalAlgebra.CofibrantObject", "HomotopicalAlgebra.CofibrantObject.homRel._proof_1", "HomotopicalAlgebra.cofibrantObjects", "HomotopicalAlgebra.ModelCategory", "C...
true
PLift.instLawfulFunctor_mathlib
Mathlib.Control.ULift
[ "LawfulFunctor.mk", "LawfulFunctor", "_private.Mathlib.Control.ULift.0.PLift.instLawfulFunctor_mathlib.match_1", "Monad.toApplicative", "Function.comp", "id", "PLift", "PLift.instMonad_mathlib", "PLift.up", "Functor.mapConst", "Applicative.toFunctor", "Eq", "Functor.map", "rfl" ]
true
RatFunc.X.eq_1
Mathlib.FieldTheory.RatFunc.AsPolynomial
[ "IsDomain", "CommRing", "Algebra.algebraMap", "CommSemiring.toSemiring", "RatFunc.X", "RingHom", "Algebra.id", "Field.toSemifield", "Polynomial", "CommRing.toCommSemiring", "RingHom.instFunLike", "RatFunc", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "Eq.refl", "Poly...
true
RingCone.mem_mk
Mathlib.Algebra.Order.Ring.Cone
[ "NegZeroClass.toNeg", "Subsemiring.instSetLike", "RingCone.instSetLike", "Iff.rfl", "Submonoid.toSubsemigroup", "Membership.mem", "MulOne.toMul", "SubtractionMonoid.toSubNegZeroMonoid", "NonAssocSemiring.toMulZeroOneClass", "Subsemiring.toSubmonoid", "Subsemiring", "SubNegZeroMonoid.toNegZeroC...
true
Lean.Meta.Grind.AC.ofSeq._f
Lean.Meta.Tactic.Grind.AC.ToExpr
[ "_private.Lean.Meta.Tactic.Grind.AC.ToExpr.0.Lean.Meta.Grind.AC.ofSeq.match_1", "Lean.Name.mkStr5", "Lean.mkApp2", "Lean.Expr", "Lean.Level", "Lean.Grind.AC.Seq.cons", "Lean.mkConst", "Lean.instToExprNat", "Lean.Grind.AC.Seq.below", "Lean.ToExpr.toExpr", "Lean.Grind.AC.Seq.var", "Lean.Grind.AC...
false
mvfderiv._proof_1
Mathlib.Geometry.Manifold.MFDeriv.NormedSpace
[ "NormedField.toField", "RingHomCompTriple", "Field.toSemifield", "Semifield.toDivisionSemiring", "DivisionSemiring.toSemiring", "NontriviallyNormedField", "NontriviallyNormedField.toNormedField", "RingHom.id", "RingHomCompTriple.ids", "Semiring.toNonAssocSemiring" ]
false
List.lookmap
Batteries.Data.List.Basic
[ "List.lookmap.go", "List.toArray", "List", "List.nil", "Option" ]
true
NormedSpace.invertibleExpOfMemBall._proof_1
Mathlib.Analysis.Normed.Algebra.Exponential
[ "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "Preorder.toLT", "CompleteSpace", "NormedRing.toRing", "HMul.hMul", "NormedAddGroup.to_isIsometricVAdd", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGr...
false
Array.map_eq_empty_iff._simp_1
Init.Data.Array.Lemmas
[ "Array.map", "Array.map_eq_empty_iff", "List.toArray", "Array", "propext", "Eq", "List.nil" ]
false
Associates.prime_mk
Mathlib.Algebra.GroupWithZero.Associated
[ "CommMonoidWithZero.toCommMonoid", "Eq.mpr", "Associates.mk", "Associates.instCommMonoid", "Dvd.dvd", "HMul.hMul", "MulZeroClass.toMul", "Monoid.toMulOneClass", "congrArg", "semigroupDvd", "Prime", "Associates.forall_associated", "IsUnit", "SemigroupWithZero.toSemigroup", "id", "MulOne...
true
bne_eq_false_iff_eq._simp_1
Init.SimpLemmas
[ "bne", "LawfulBEq", "bne_eq_false_iff_eq", "propext", "Bool", "Bool.false", "BEq", "Eq" ]
false
AkraBazziRecurrence.recOn
Mathlib.Computability.AkraBazzi.SumTransform
[ "Real.instLE", "Real", "instHDiv", "HMul.hMul", "Finset.univ", "Real.instZero", "AkraBazziRecurrence.GrowsPolynomially", "Real.instDivInvMonoid", "Real.instSub", "HSub.hSub", "Real.instLT", "GE.ge", "HDiv.hDiv", "instOfNatNat", "LE.le", "instLENat", "Nat.cast", "Real.log", "Monoi...
false
Equiv.trans_toEmbedding
Mathlib.Logic.Embedding.Basic
[ "Equiv.trans", "Equiv", "Function.Embedding", "Equiv.toEmbedding", "Function.Embedding.trans", "Eq", "rfl" ]
true
HomologicalComplex₂.totalShift₁Iso._proof_1
Mathlib.Algebra.Homology.TotalComplexShift
[ "Int.instAddCommGroup", "HomologicalComplex.instCategory", "instHSMul", "ComplexShape.instTotalComplexShape", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex₂.toGradedObject", "congrArg", "Int.instLinearOrder", "ComplexShape...
false
CategoryTheory.NatIso.removeOp_hom
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.NatTrans.removeOp", "CategoryTheory.Iso", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Category.toCatego...
true
Lean.Elab.Tactic.Do.State.mk.sizeOf_spec
Lean.Elab.Tactic.Do.VCGen.Basic
[ "Lean.Elab.Tactic.Do.State._sizeOf_inst", "Lean.Elab.Tactic.Do.Fuel", "Lean.MVarId", "instOfNatNat", "Lean.Elab.Tactic.Do.State", "Array._sizeOf_inst", "Array", "Lean.MVarId._sizeOf_inst", "instHAdd", "Lean.Meta.Simp.State", "HAdd.hAdd", "Lean.Meta.Simp.State._sizeOf_inst", "Nat", "SizeOf....
true
CategoryTheory.Limits.IsColimit.map
Mathlib.CategoryTheory.Limits.IsLimit
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cocone.precompose", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.IsColimit", "CategoryTheory.Limits.IsColimit.desc", "CategoryTheory.Limits.Cocone.cat...
true
_private.Mathlib.Algebra.Lie.Semisimple.Basic.0.LieAlgebra.IsSemisimple.isSimple_of_isAtom._simp_1_11
Mathlib.Algebra.Lie.Semisimple.Basic
[ "LieSubmodule.instSetLike", "Submodule", "CommRing", "LieSubmodule.mem_mk_iff'", "Submodule.toAddSubmonoid", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddMonoid.toAddZeroClass", "Bracket.bracket", "LieSubmodule", "AddSubsemigroup.carrier", "Membership.mem", "AddZeroClass.to...
false
Prod.instDivInvMonoid._proof_4
Mathlib.Algebra.Group.Prod
[ "Prod.instInv", "DivInvMonoid.toInv", "Prod.mk", "Int", "DivInvMonoid.zpow", "Nat.cast", "DivInvMonoid", "Prod.fst", "Inv.inv", "DivInvMonoid.zpow_neg'", "Prod.ext", "Nat", "instNatCastInt", "Int.negSucc", "Prod", "Nat.succ", "Eq", "Prod.snd" ]
false
exists_quadratic_eq_zero
Mathlib.Algebra.QuadraticDiscriminant
[ "Eq.mpr", "NegZeroClass.toNeg", "instHDiv", "HMul.hMul", "AddGroupWithOne.toAddGroup", "congrArg", "true_or", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "Exists", "Field.toDivisionRing", "DivisionRing.toDivInvMonoid", "id", "Distrib.toAdd", "HDiv....
true
CategoryTheory.Adjunction.whiskerRight_counit_app_app
Mathlib.CategoryTheory.Adjunction.Whiskering
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.comp_id", "CategoryTheory.Functor.whiskeringRigh...
true
_private.Mathlib.Data.Nat.Cast.Order.Ring.0.Nat.neg_cast_eq_cast._simp_1_1
Mathlib.Data.Nat.Cast.Order.Ring
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "neg_eq_iff_add_eq_zero", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "propext", "AddZero...
false
CategoryTheory.Limits.IsTerminal.strict_hom_ext
Mathlib.CategoryTheory.Limits.Shapes.StrictInitial
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.IsTerminal", "CategoryTheory.Limits.HasStrictTerminalObjects", "CategoryTheory.Limits.IsTerminal.isIso_from", "CategoryTheory.eq_of_inv_eq_inv", "CategoryTheory.Limits.IsTerminal.hom_ext", "CategoryTheory.inv", "CategoryT...
true
Function.const_neg'
Mathlib.Algebra.Order.Pi
[ "Pi.preorder", "Preorder.toLT", "Zero.zero", "Pi.instZero", "Iff", "LT.lt", "Function.const_lt_const", "Function.const", "Nonempty", "Zero.toOfNat0", "OfNat.ofNat", "Preorder", "Zero" ]
true
LinearMap.compMultilinearMap_compLinearMap
Mathlib.LinearAlgebra.Multilinear.Basic
[ "LinearMap", "MultilinearMap", "AddCommMonoid", "MultilinearMap.compLinearMap", "Semiring", "Module", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "LinearMap.compMultilinearMap", "rfl" ]
true
Option.instMembership
Init.Data.Option.Instances
[ "Option.some", "Membership", "Membership.mk", "Eq", "Option" ]
true
mulMulHom._proof_1
Mathlib.Algebra.Group.Prod
[ "HMul.hMul", "mul_mul_mul_comm", "CommMagma.toMul", "Prod.fst", "CommSemigroup", "CommSemigroup.toCommMagma", "Prod", "Eq", "Prod.snd", "instHMul" ]
false
CategoryTheory.StrictPseudofunctor.mk'._proof_7
Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.id", "CategoryTheory.StrictPseudofunctorCore", "CategoryTheory.PrelaxFunctorStruct.map₂", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.Bicategor...
false
CategoryTheory.Triangulated.AbelianSubcategory.abelian
Mathlib.CategoryTheory.Triangulated.TStructure.AbelianSubcategory
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.Functor.Additive", "CategoryTheory.Abelian.mk'", "CategoryTheory.shiftFunctor", "CategoryTheory.Abelian",...
true
Std.Tactic.BVDecide.Normalize.BitVec.not_neg'
Std.Tactic.BVDecide.Normalize.BitVec
[ "Eq.mpr", "Std.Tactic.BVDecide.Normalize.BitVec.not_neg", "congrArg", "BitVec.instAdd", "BitVec", "id", "BitVec.not_not", "instOfNatNat", "BitVec.ofNat", "BitVec.instNeg", "instHAdd", "HAdd.hAdd", "Nat", "True", "Complement.complement", "eq_self", "of_eq_true", "congrFun'", "OfNa...
true
BoundedContinuousFunction.norm_const_eq
Mathlib.Topology.ContinuousMap.Bounded.Normed
[ "Norm.norm", "Real.partialOrder", "Real", "SeminormedAddCommGroup", "Nonempty.elim", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "TopologicalSpace", "SeminormedAddCommGroup.toNorm", "le_antisymm", "SeminormedAddCommGroup.toPseudoMetricSpace", "BoundedContinuousFunction.const", "Bo...
true
Set.projIci_of_mem
Mathlib.Order.Interval.Set.ProjIcc
[ "Eq.mpr", "Lattice.toSemilatticeSup", "Set.Ici", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "Set.Elem", "DistribLattice.toLattice", "id", "Subtype", "LE.le", "Set.projIci", "Subtype.mk", "Max.m...
true
_private.Init.Data.Range.Polymorphic.NatLemmas.0.Nat.toArray_rcc_add_succ_right_eq_push'._proof_1_2
Init.Data.Range.Polymorphic.NatLemmas
[ "Nat.lt_of_not_le", "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.ev...
false
Std.DHashMap.Raw.Const.get?_insertIfNew
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Eq.mpr", "instDecidableNot", "Std.DHashMap.Internal.Raw₀.contains", "Std.DHashMap.Internal.Raw₀.Const.get?", "_private.Std.Data.DHashMap.RawLemmas.0.Std.DHashMap.Raw.Const.get?_insertIfNew._simp_1_1", "congrArg", "Std.DHashMap...
true
Std.Internal.IO.Async.System.OSInfo.mk.sizeOf_spec
Std.Internal.Async.System
[ "Std.Internal.IO.Async.System.OSInfo", "Std.Internal.IO.Async.System.OSInfo.mk", "String", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "Std.Internal.IO.Async.System.OSInfo._sizeOf_inst", "instAddNat", "String._sizeOf_inst", "Eq.refl", "OfNat.ofNat", "Eq" ]
true
Lean.Meta.Grind.BuiltinPropagators.recOn
Lean.Meta.Tactic.Grind.PropagatorAttr
[ "Lean.Meta.Grind.BuiltinPropagators.mk", "Lean.Meta.Grind.BuiltinPropagators", "Lean.Meta.Grind.BuiltinPropagators.rec", "Lean.Meta.Grind.PropagatorMap" ]
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Const.getD_inter_of_contains_eq_false_right._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
_private.Mathlib.SetTheory.Cardinal.Order.0.Cardinal.le_mk_iff_exists_set.match_1_1
Mathlib.SetTheory.Cardinal.Order
[ "Cardinal", "Cardinal.mk", "Function.Embedding.mk", "LE.le", "Nonempty.intro", "Cardinal.instLE", "Function.Embedding", "Function.Embedding.casesOn", "Nonempty.casesOn", "Function.Injective" ]
false
instFintypeWithBot._proof_3
Mathlib.Data.Fintype.WithTopBot
[ "WithBot", "Finset", "Membership.mem", "instFintypeWithBot._aux_1", "instFintypeOption._proof_1", "Fintype", "Finset.instSetLike", "SetLike.instMembership", "Option" ]
false
Std.ExtHashMap.isSome_getKey?_iff_mem._simp_1
Std.Data.ExtHashMap.Lemmas
[ "Membership.mem", "LawfulHashable", "Std.ExtHashMap", "Bool.true", "EquivBEq", "propext", "Bool", "Hashable", "Option.isSome", "Std.ExtHashMap.getKey?", "Std.ExtHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Std.ExtHashMap.isSome_getKey?_iff_mem", "BEq", "Eq" ]
false
_private.Mathlib.Computability.TuringMachine.PostTuringMachine.0.Turing.TM1to0.tr.match_1.eq_2
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Turing.TM1to0.tr.match_1", "Option.some", "Prod.mk", "Turing.TM1to0.Λ'", "Option.none", "Eq.refl", "Eq", "Turing.TM1.Stmt", "Option" ]
true
Matrix.replicateRow_empty
Mathlib.LinearAlgebra.Matrix.Notation
[ "Equiv.instEquivLike", "Matrix", "Matrix.of", "Equiv", "instOfNatNat", "Nat", "Matrix.vecEmpty", "Matrix.replicateRow", "OfNat.ofNat", "Fin", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
PresheafOfModules.limitPresheafOfModules._proof_5
Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits
[ "PresheafOfModules.map", "CategoryTheory.Limits.limMap_π", "CategoryTheory.Limits.limit.π", "PresheafOfModules.evaluation", "Eq.mpr", "CategoryTheory.Category.assoc", "RingHom.comp._proof_4", "MulOne.toOne", "CategoryTheory.Functor", "RingHom.mk", "CategoryTheory.Iso.inv_hom_id", "Opposite", ...
false
Lean.Doc.Parser.OrderedListType.numDot.elim
Lean.DocString.Parser
[ "PULift.up", "Lean.Doc.Parser.OrderedListType", "Lean.Doc.Parser.OrderedListType.ctorElim", "Lean.Doc.Parser.OrderedListType.numDot", "Nat", "Lean.Doc.Parser.OrderedListType.ctorIdx", "Eq.symm", "Eq" ]
false
Lean.Meta.Simp.Arith.Nat.instReprExprCnstr_lean.repr
Lean.Meta.Tactic.Simp.Arith.Nat.Basic
[ "Std.Format.nil", "Std.Format.instAppend", "Std.Format.line", "Std.Format.group", "Nat.Linear.Expr", "Int", "Nat.Linear.ExprCnstr", "Nat.Linear.ExprCnstr.rhs", "instReprBool", "Lean.Meta.Simp.Arith.Nat.instReprExpr_lean", "instHAppendOfAppend", "instOfNat", "Nat", "Std.Format.bracket", "...
true
ContinuousLinearEquiv.trans_apply
Mathlib.Topology.Algebra.Module.Equiv
[ "ContinuousLinearEquiv.trans", "RingHom", "RingHomCompTriple", "ContinuousLinearEquiv.equivLike", "AddCommMonoid", "RingHomInvPair", "TopologicalSpace", "ContinuousLinearEquiv", "Semiring", "Module", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "rfl", "EquivLike.toFunLike" ]
true
_private.Mathlib.GroupTheory.GroupAction.Blocks.0.MulAction.IsBlock.of_subset._simp_1_2
Mathlib.GroupTheory.GroupAction.Blocks
[ "instHSMul", "DivInvOneMonoid.toInvOneClass", "Group", "Group.toDivisionMonoid", "Membership.mem", "DivisionMonoid.toDivInvOneMonoid", "DivInvMonoid.toMonoid", "Group.toDivInvMonoid", "Inv.inv", "MulAction", "propext", "Monoid.toSemigroup", "HSMul.hSMul", "SemigroupAction.toSMul", "InvOn...
false
AlgEquiv
Mathlib.Algebra.Algebra.Equiv
[ "Algebra", "AlgEquiv.mk", "CommSemiring", "Semiring" ]
true
NonUnitalAlgHom.ext
Mathlib.Algebra.Algebra.NonUnitalHom
[ "Monoid", "MonoidHom", "Monoid.toMulOneClass", "NonUnitalAlgHom.instFunLike_1", "NonUnitalAlgHom", "NonUnitalAlgHom.instFunLike", "NonUnitalNonAssocSemiring.toAddCommMonoid", "funext", "MulOneClass.toMulOne", "DistribMulAction", "NonUnitalAlgHom.coe_injective", "AddCommMonoid.toAddMonoid", "...
true
_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.copyCount_bot._simp_1_3
Mathlib.Combinatorics.SimpleGraph.Copy
[ "Finset", "Membership.mem", "Finset.eq_singleton_iff_unique_mem", "And", "Finset.instSetLike", "propext", "Finset.instSingleton", "Singleton.singleton", "Eq", "SetLike.instMembership" ]
false
Array.foldr_append
Init.Data.Array.Lemmas
[ "Pure.pure", "Array.instAppend", "Monad.toApplicative", "Array.foldrM_append", "instOfNatNat", "Id", "Applicative.toPure", "Array", "Array.foldr", "instHAppendOfAppend", "Nat", "Id.instMonad", "OfNat.ofNat", "Eq", "Array.size", "HAppend.hAppend", "Id.instLawfulMonad" ]
true
Std.PRange.InfinitelyUpwardEnumerable.mk._flat_ctor
Init.Data.Range.Polymorphic.UpwardEnumerable
[ "Std.PRange.InfinitelyUpwardEnumerable.mk", "Std.PRange.UpwardEnumerable", "Std.PRange.UpwardEnumerable.succ?", "Bool.true", "Std.PRange.InfinitelyUpwardEnumerable", "Bool", "Option.isSome", "Eq" ]
false
Std.DTreeMap.Internal.Impl.IteratedNewInsertionInto
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Subtype", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "OfNat.ofNat", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.insertIfNew"...
true
KummerDedekind.quotMapEquivQuotQuotMap._proof_5
Mathlib.NumberTheory.KummerDedekind
[ "CommRing", "CommSemiring.toSemiring", "Ideal.Quotient.mk", "Algebra", "Set.instSingletonSet", "Ideal.IsTwoSided", "Ideal", "minpoly", "Polynomial", "HasQuotient.Quotient", "Ideal.instIsTwoSided_1", "CommRing.toCommSemiring", "Ideal.instHasQuotient", "Polynomial.semiring", "Ideal.Quotien...
false
List.merge_of_le._f
Init.Data.List.Sort.Lemmas
[ "Eq.mpr", "congrArg", "List.merge", "List.mem_cons_of_mem", "Membership.mem", "List.merge_right", "List.nil_merge", "id", "instDecidableEqBool", "if_pos", "List.append_nil", "List.cons", "Bool.true", "instHAppendOfAppend", "_private.Init.Data.List.Sort.Lemmas.0.List.merge_of_le.match_1_1...
false
PresheafOfModules.Derivation.postcomp._proof_2
Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf
[ "LinearMap.toAddMonoidHom", "CategoryTheory.Functor.op", "CategoryTheory.Functor", "instHSMul", "PresheafOfModules.Derivation.d", "SemilinearMapClass.toMulActionSemiHomClass", "Opposite", "HMul.hMul", "CommRingCat.carrier", "CategoryTheory.CategoryStruct.toQuiver", "PresheafOfModules.instModuleC...
false
Std.DTreeMap.Internal.RooSliceData.range
Std.Data.DTreeMap.Internal.Zipper
[ "Ord", "Std.DTreeMap.Internal.RooSliceData", "Std.Roo" ]
true
CategoryTheory.Limits.prod
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.limit", "CategoryTheory.Limits.HasBinaryProduct", "CategoryTheory.discreteCategory", "CategoryTheory.Limits.pair", "CategoryTheory.Category", "CategoryTheory.Discrete" ]
true
Fintype.sumRight
Mathlib.Data.Fintype.Card
[ "Sum.inr_injective", "Sum", "Fintype.ofInjective", "Fintype", "Sum.inr" ]
true
Lean.Parser.Command.universe.parenthesizer
Lean.Parser.Command
[ "Lean.Parser.withCache.parenthesizer", "Lean.Parser.mkAntiquot.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.checkColGt.parenthesizer", "Lean.Parser.ident.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "Lean.Parser.many1.parenthesizer", "instOfNatNat", "Lean.PrettyPrinter.Parenthesizer.leadin...
true
Finset.Nat.antidiagonal_filter_fst_le_of_le
Mathlib.Data.Finset.NatAntidiagonal
[ "Eq.mpr", "_private.Mathlib.Data.Finset.NatAntidiagonal.0.Finset.Nat.antidiagonal_filter_fst_le_of_le._simp_1_1", "Nat.instIsOrderedAddMonoid", "Equiv.instEquivLike", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "AddMonoid.toAddSemigroup", "congrArg", "Equiv.prodComm", "Finset", "Iff.rfl", "Parti...
true
MonoidAlgebra.mapAddEquiv_trans
Mathlib.Algebra.MonoidAlgebra.MapDomain
[ "Finsupp.instFunLike", "congrArg", "AddEquiv.ext", "MonoidAlgebra.ext", "Mul", "Distrib.toAdd", "instDistribOfSemiring", "AddEquiv.trans", "MonoidAlgebra.mapAddEquiv_apply", "congr", "MonoidAlgebra", "True", "eq_self", "of_eq_true", "Semiring", "MonoidAlgebra.mapAddEquiv", "NonUnital...
true
Set.preimage_const_sub_uIcc
Mathlib.Algebra.Order.Group.Pointwise.Interval
[ "Eq.mpr", "NegZeroClass.toNeg", "Lattice.toSemilatticeSup", "max_neg_neg", "Set.preimage_const_sub_Icc", "congrArg", "AddCommGroup.toAddCommMonoid", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "sub_eq_add_neg", "HSub.hSub", "max_add_add_left", "AddCommGroup.toAddG...
true
_private.Mathlib.RingTheory.Trace.Quotient.0._aux_Mathlib_RingTheory_Trace_Quotient___unexpand_IsLocalRing_maximalIdeal_1
Mathlib.RingTheory.Trace.Quotient
[ "Pure.pure", "cond", "Lean.TSyntax", "Unit.unit", "Lean.MonadRef.mkInfoFromRefPos", "Lean.Syntax.matchesIdent", "Lean.Name.mkNum", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "Lean.PrettyPrinter.UnexpandM", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Sy...
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Replicate.0.PSigma.casesOn._arg_pusher
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Replicate
[ "PSigma.casesOn", "PSigma.mk", "Eq.refl", "PSigma", "Eq" ]
false
_private.Mathlib.GroupTheory.GroupAction.Blocks.0.MulAction.BlockMem.instBoundedOrder._simp_1
Mathlib.GroupTheory.GroupAction.Blocks
[ "Set.subset_univ", "Set.univ", "HasSubset.Subset", "True", "eq_true", "Eq", "Set.instHasSubset", "Set" ]
false