name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
ContinuousLinearMap.pi_apply
Mathlib.Topology.Algebra.Module.ContinuousLinearMap.PiProd
[ "Pi.addCommMonoid", "Pi.topologicalSpace", "ContinuousLinearMap.funLike", "Pi.module", "ContinuousLinearMap.pi", "AddCommMonoid", "ContinuousLinearMap", "TopologicalSpace", "Semiring", "Module", "RingHom.id", "Semiring.toNonAssocSemiring", "Eq", "DFunLike.coe", "rfl" ]
true
AddEquiv.comapAddSubgroup._proof_5
Mathlib.Algebra.Group.Subgroup.Map
[ "AddEquivClass.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoidHomClass", "AddGroup", "AddGroup.toSubNegMonoid", "AddEquiv.instAddEquivClass", "AddEquiv", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "AddEquiv.instEquivLike", "EquivLike.toFunLike" ]
false
Std.DTreeMap.Internal.Impl.Const.getD_filter!
Std.Data.DTreeMap.Internal.Lemmas
[ "Iff.mpr", "Option.pfilter", "Ord", "congrArg", "Std.DTreeMap.Internal.Impl.getKey", "Std.TransOrd", "Option.getD", "Std.DTreeMap.Internal.Impl.Const.getD", "Std.DTreeMap.Internal.Impl.filter", "Option.some", "Membership.mem", "Eq.mp", "Std.DTreeMap.Internal.Impl.WF", "Std.DTreeMap.Interna...
true
MvPowerSeries.substAlgHom._proof_1
Mathlib.RingTheory.MvPowerSeries.Substitution
[ "UniformSpace", "CommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "IsTopologicalRing.toIsTopologicalSemiring", "IsTopologicalSemiring", "DiscreteUniformity.instDiscreteTopology", "instBotUniformSpace", "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring", ...
false
CategoryTheory.Functor.leftOpRightOpIso_inv_app
Mathlib.CategoryTheory.Opposites
[ "CategoryTheory.Functor.leftOpRightOpIso", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory.Category.toCategoryStruct",...
true
OpenPartialHomeomorph.trans_of_set'
Mathlib.Topology.OpenPartialHomeomorph.Composition
[ "Eq.mpr", "OpenPartialHomeomorph.ofSet", "OpenPartialHomeomorph.restr_source_inter", "congrArg", "OpenPartialHomeomorph.trans", "id", "OpenPartialHomeomorph.toFun'", "Set.instInter", "Inter.inter", "OpenPartialHomeomorph.trans_ofSet", "TopologicalSpace", "Set.preimage", "PartialEquiv.source"...
true
CategoryTheory.SmallObject.SuccStruct.Iteration.mkOfLimit.functor_obj
Mathlib.CategoryTheory.SmallObject.Iteration.Nonempty
[ "Eq.mpr", "Preorder.toLT", "CategoryTheory.SmallObject.SuccStruct", "CategoryTheory.SmallObject.SuccStruct.ofCocone", "congrArg", "CategoryTheory.SmallObject.SuccStruct.Iteration.mkOfLimit.inductiveSystem", "LinearOrder", "WellFoundedLT", "PartialOrder.toPreorder", "CategoryTheory.SmallObject.Succ...
true
Lean.Elab.elabCbvSimprocPattern
Lean.Elab.Tactic.CbvSimproc
[ "Pure.pure", "Lean.NameMap", "Lean.Elab.Term.synthesizeSyntheticMVars", "Lean.Elab.Term.LevelMVarErrorInfo", "Lean.Elab.Term.elabTerm", "Lean.Elab.Term.Context.mk", "Lean.Elab.Term.instMonadTermElabM", "Lean.Elab.Term.State.mk", "Lean.MVarIdMap", "Lean.Elab.AutoBoundImplicitContext", "List.instE...
true
Lean.Elab.Term.SyntheticMVarKind.coe.elim
Lean.Elab.Term.TermElabM
[ "Lean.MessageData", "PULift.up", "String", "Lean.MVarId", "Lean.Expr", "Lean.Meta.MetaM", "Nat", "Lean.Elab.Term.SyntheticMVarKind.coe", "Lean.Elab.Term.SyntheticMVarKind", "Eq.symm", "Eq", "Lean.Elab.Term.SyntheticMVarKind.ctorElim", "Option", "Lean.Elab.Term.SyntheticMVarKind.ctorIdx" ]
false
_private.Mathlib.Algebra.Order.BigOperators.GroupWithZero.List.0.List.prod_pos._simp_1_2
Mathlib.Algebra.Order.BigOperators.GroupWithZero.List
[ "forall_eq_or_imp", "And", "propext", "Or", "Eq" ]
false
Nonneg.monoidWithZero
Mathlib.Algebra.Order.Nonneg.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Nonneg.semiring", "PartialOrder.toPreorder", "AddLeftMono", "Preorder.toLE", "inferInstance", "PartialOrder", "Subtype", "Distrib.toAdd", "ZeroLEOneClass", "AddCommMonoidWithOne.toAddMonoidWithOne", "LE.le", "instDistribOfSemiring", "AddMonoidWit...
true
CategoryTheory.Bicategory.conjugateEquiv_symm_id
Mathlib.CategoryTheory.Bicategory.Adjunction.Mate
[ "Eq.mpr", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.CategoryStruct.id", "Equiv.symm_apply_eq", "id", "Equiv", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.Bicategory", "propext", "CategoryTheory.Bicategory.conj...
true
_private.Mathlib.NumberTheory.ModularForms.LevelOne.GradedRing.0.ModularForm.E₄CubeSubE₆SqForm_isCuspForm
Mathlib.NumberTheory.ModularForms.LevelOne.GradedRing
[ "ModularForm.IsCuspForm", "ModularForm", "Nat.instCanonicallyOrderedAdd", "Subgroup.instHasDetOneRangeSpecialLinearGroupGeneralLinearGroupMapGL", "MonoidHom.range", "Real", "Matrix.SpecialLinearGroup", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "map_sub", ...
true
differentiable_circleMap
Mathlib.MeasureTheory.Integral.CircleIntegral
[ "instInnerProductSpaceRealComplex", "Differentiable", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "Semiring.toModule", "HMul.hMul", "Complex.instNormedAddCommGroup", "Real.denselyNormedField", "Real.instRCLike", "NormedSpace.toModule", "HasDerivAt.differen...
true
MeasureTheory.eventuallyConst_smul_set_ae
Mathlib.MeasureTheory.Group.Action
[ "MeasureTheory.ae", "Eq.mpr", "instHSMul", "MeasureTheory.Measure", "DivInvOneMonoid.toInvOneClass", "congrArg", "Filter.map", "Iff.rfl", "Group", "Group.toDivisionMonoid", "Filter.EventuallyConst", "DivisionMonoid.toDivInvOneMonoid", "id", "DivInvMonoid.toMonoid", "MeasureTheory.smul_ae...
true
_private.Init.Data.Repr.0.Nat.toSuperDigitsAux.match_1
Init.Data.Repr
[ "List", "Nat", "Char" ]
false
Lean.MetavarContext.LevelMVarToParam.Context.casesOn
Lean.MetavarContext
[ "Lean.MetavarContext.LevelMVarToParam.Context.rec", "Lean.MetavarContext.LevelMVarToParam.Context", "Bool", "Lean.Name", "Lean.LMVarId", "Lean.MetavarContext.LevelMVarToParam.Context.mk" ]
false
CategoryTheory.MorphismProperty.universally_eq_iff
Mathlib.CategoryTheory.MorphismProperty.Limits
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.instCompleteBooleanAlgebra", "CategoryTheory.IsPullback", "CategoryTheory.MorphismProperty.universally_le", "LE.le.antisymm", "Eq.rec", "CategoryTheory.MorphismProperty.univers...
true
SSet.instNonemptyNOfNonempty
Mathlib.AlgebraicTopology.SimplicialSet.Nonempty
[ "SSet.Nonempty", "Opposite", "SSet.N.mk", "congrArg", "Set.mem_univ._simp_1", "Set.univ", "SSet.nonDegenerate", "Membership.mem", "instOfNatNat", "SSet", "Nonempty.intro", "SimplexCategory.mk", "Opposite.op", "Nat", "True", "CategoryTheory.types", "Classical.arbitrary", "SimplexCat...
true
Filter.tendsto_iff_rtendsto'
Mathlib.Order.Filter.Partial
[ "Filter.instMembership", "SetRel", "congrArg", "setOf", "Filter.RTendsto'", "Function.graph", "Membership.mem", "Exists", "Prod.mk", "_private.Mathlib.Order.Filter.Partial.0.Filter.tendsto_iff_rtendsto'._simp_1_3", "Prod.fst", "iff_self", "exists_eq_right'._simp_1", "funext", "And", "I...
true
Std.HashMap.Raw.inner
Std.Data.HashMap.Raw
[ "Std.DHashMap.Raw", "Std.HashMap.Raw" ]
true
WeierstrassCurve.natDegree_preΨ_pos
Mathlib.AlgebraicGeometry.EllipticCurve.DivisionPolynomial.Degree
[ "AddGroup.toSubtractionMonoid", "Int.cast", "Eq.mpr", "NegZeroClass.toNeg", "Int.cast_natCast", "CommRing", "Polynomial.instNeg", "AddGroupWithOne.toAddGroup", "congrArg", "CommSemiring.toSemiring", "Int.cast_zero", "AddMonoid.toAddZeroClass", "Int.cast_neg._simp_1", "AddGroupWithOne.toAdd...
true
Set.piecewise_le
Mathlib.Data.Set.Piecewise
[ "False", "Set.piecewise_eq_of_notMem", "eq_false", "congrArg", "Decidable", "Preorder.toLE", "Membership.mem", "LE.le", "Set.piecewise_eq_of_mem", "Pi.hasLe", "dite", "True", "eq_true", "of_eq_true", "congrFun'", "Set.piecewise", "not_false_eq_true", "Set.instMembership", "Not", ...
true
ShareCommon.StateFactoryImpl.mkState
Init.ShareCommon
[ "ShareCommon.StateFactoryImpl.Set", "Unit", "ShareCommon.StateFactoryImpl", "Prod", "ShareCommon.StateFactoryImpl.Map" ]
true
_private.Lean.PrettyPrinter.Delaborator.Builtins.0.Lean.PrettyPrinter.Delaborator.delabAppMatch.usingNames
Lean.PrettyPrinter.Delaborator.Builtins
[ "Inhabited.default", "Lean.PrettyPrinter.Delaborator.DelabM", "instOfNatNat", "Array", "Nat", "Lean.Name", "Inhabited", "optParam", "OfNat.ofNat", "Inhabited.mk" ]
true
_private.Mathlib.Data.Nat.Choose.Basic.0.Nat.choose_pos.match_1_1
Mathlib.Data.Nat.Choose.Basic
[ "instOfNatNat", "LE.le", "instLENat", "instHAdd", "HAdd.hAdd", "Nat", "instAddNat", "Nat.zero", "OfNat.ofNat", "Nat.succ", "Nat.casesOn" ]
false
QuadraticForm.toMatrix.congr_simp
Mathlib.LinearAlgebra.QuadraticForm.Basic
[ "CommRing", "instSubsingletonDecidable", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "QuadraticForm", "Decidable", "Eq.rec", "AddCommGroup", "Pi.instSubsingleton", "AddMonoidWithOne.toNatCast", "instOfNatNat"...
true
Std.Internal.IO.Async.System.GroupId
Std.Internal.Async.System
[ "Std.Internal.IO.Async.System.GroupId.mk" ]
true
Mathlib.Tactic.LinearCombinationPrime.Expanded.proof.inj
Mathlib.Tactic.LinearCombinationPrime
[ "Mathlib.Tactic.LinearCombinationPrime.Expanded", "Lean.Syntax.Term", "Mathlib.Tactic.LinearCombinationPrime.Expanded.proof", "Mathlib.Tactic.LinearCombinationPrime.Expanded.proof.noConfusion", "Eq" ]
true
Lean.IR.NormalizeIds.normArg
Lean.Compiler.IR.NormIds
[ "Pure.pure", "_private.Lean.Compiler.IR.NormIds.0.Lean.IR.NormalizeIds.normArg.match_1", "Lean.IR.IndexRenaming", "Lean.IR.Arg.var", "Lean.IR.Arg", "Lean.IR.Arg.erased", "Lean.IR.NormalizeIds.normVar", "Id", "Applicative.toPure", "Lean.IR.VarId", "Unit", "Lean.IR.NormalizeIds.M", "Id.instMon...
true
Polynomial.leadingCoeff_le_mapMahlerMeasure
Mathlib.Analysis.Polynomial.MahlerMeasure
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "RingHom.instRingHomClass", "le_refl", "Real.instLE", "Real", "SeminormedAddGroup.toAddGroup", "NormedRing.toRing", "Real.instZero", "congrArg", "Polynomial.mapMahlerMeasure", "Polynomial.mapMahle...
true
Matrix.det_mvPolynomialX_ne_zero
Mathlib.LinearAlgebra.Matrix.MvPolynomial
[ "Nontrivial", "Finsupp.instAddZeroClass", "RingHom.instRingHomClass", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "CommRing", "NeZero.one", "AddMonoidAlgebra.commRing", "congrArg", "CommSemiring.toSemiring", "Matrix", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne",...
true
DistLat.Iso.mk._proof_6
Mathlib.Order.Category.DistLat
[ "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistLat.str", "DistribLattice.toLattice", "OrderIso", "OrderIsoClass.toLatticeHomClass", "OrderIso.instEquivLike", "SemilatticeInf.toMin", "OrderIso.instOrderIsoClass", "OrderIso.symm", "instFunLikeOrderIso", "inst...
false
_private.Mathlib.Combinatorics.Matroid.Basic.0.Matroid.ExchangeProperty.antichain.match_1_1
Mathlib.Combinatorics.Matroid.Basic
[ "Membership.mem", "Exists", "Set.instSingletonSet", "Insert.insert", "And.casesOn", "SDiff.sdiff", "And", "Exists.casesOn", "Set.instInsert", "And.intro", "Exists.intro", "Singleton.singleton", "Set.instMembership", "Set.instSDiff", "Set" ]
false
MeasureTheory.StronglyMeasurable.measurableSet_lt
Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
[ "TopologicalSpace.PseudoMetrizableSpace", "Eq.mpr", "Preorder.toLT", "MeasurableSet", "congrArg", "Compl.compl", "setOf", "Preorder.toLE", "MeasureTheory.StronglyMeasurable.measurableSet_le", "id", "LE.le", "MeasurableSet.compl", "Set.instCompl", "MeasurableSpace", "TopologicalSpace", ...
true
CategoryTheory.ProjectiveResolution._sizeOf_1
Mathlib.CategoryTheory.Preadditive.Projective.Resolution
[ "CategoryTheory.Limits.HasZeroMorphisms", "ChainComplex", "HomologicalComplex.instCategory", "Nat.instOne", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "HomologicalComplex.HasHomology", "AddRightCancelSemigroup.toAddSemigroup", "instSizeOfDefault", "AddCancelMonoid.toAddRightCancelMono...
false
RingNorm.funLike._proof_1
Mathlib.Analysis.Normed.Unbundled.RingSeminorm
[ "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocRing", "Real", "Real.instZero", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "Eq.rec", "NonUnitalRing.toNonUnitalNonAssocRing", "RingNorm.toRingSeminorm", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroCl...
false
CochainComplex.HomComplex.Cocycle.fromSingleMk_postcomp._proof_1
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexSingle
[ "CategoryTheory.Category.assoc", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "AddCancelMonoid.toAddRightCancelMonoid", "Eq.mp", "...
false
HomotopicalAlgebra.fibrations_over_iff
Mathlib.AlgebraicTopology.ModelCategory.Over
[ "CategoryTheory.Over", "HomotopicalAlgebra.fibrations", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Over.Hom.left", "CategoryTheory.instCategoryOver", "CategoryTheory.Over.left", "iff_self", "Iff", "HomotopicalAlgebra.instCategoryWithFibrationsOver", "co...
true
SimpleGraph.adjMatrix_mul_self_apply_self
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
[ "NonAssocSemiring.toAddCommMonoidWithOne", "HMul.hMul", "congrArg", "Matrix", "Finset", "SimpleGraph.mul_adjMatrix_apply", "SimpleGraph.Adj", "Matrix.instHMulOfFintypeOfMulOfAddCommMonoid", "DecidableRel", "SimpleGraph.neighborFinset", "NonUnitalNonAssocSemiring.toMulZeroClass", "Membership.me...
true
Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof.subst
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof.subst", "Int.Linear.Var", "Lean.Meta.Grind.Arith.Cutsat.DvdCnstr", "Lean.Meta.Grind.Arith.Cutsat.DvdCnstrProof", "Lean.Meta.Grind.Arith.Cutsat.EqCnstr" ]
true
Std.Http.URI.recOn
Std.Internal.Http.Data.URI.Basic
[ "String", "Std.Http.URI", "Std.Http.URI.Authority", "Std.Http.URI.Scheme", "Std.Http.URI.mk", "Std.Http.URI.Query", "Std.Http.URI.Path", "Std.Http.URI.rec", "Option" ]
false
Stream'.get_nats
Mathlib.Data.Stream.Init
[ "Stream'.nats", "Stream'.get", "Nat", "Eq", "rfl" ]
true
AddEquiv.isAddHaarMeasure_map
Mathlib.MeasureTheory.Group.Measure
[ "Homeomorph.mk", "MeasureTheory.Measure", "Continuous", "AddMonoid.toAddZeroClass", "AddEquiv.toAddMonoidHom", "BorelSpace", "AddZeroClass.toAddZero", "Topology.IsClosedEmbedding.tendsto_cocompact", "MeasurableSpace", "TopologicalSpace", "AddEquiv.surjective", "Homeomorph.instEquivLike", "Ad...
true
QuotientAddGroup.lift_quot_mk
Mathlib.GroupTheory.QuotientGroup.Defs
[ "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "AddSubgroup.instPartialOrder", "Preorder.toLE", "QuotientAddGroup.Quotient.addGroup", "AddZeroClass.toAddZero", "LE.le", "AddSubgroup", "AddSubgroup.Normal", "HasQuotient.Quotient", "AddGroup", "AddGroup.toSubNegMonoid", "QuotientAddGro...
true
USize.add_left_inj
Init.Data.UInt.Lemmas
[ "USize.toBitVec_add", "congrArg", "BitVec.instAdd", "BitVec", "iff_self", "System.Platform.numBits", "USize.toBitVec", "instHAdd", "Iff", "HAdd.hAdd", "congr", "True", "USize.eq_iff_toBitVec_eq._simp_1", "of_eq_true", "BitVec.add_left_inj._simp_1", "instAddUSize", "Eq", "Eq.trans",...
true
DifferentiableAt.comp_differentiableWithinAt
Mathlib.Analysis.Calculus.FDeriv.Comp
[ "Set.mapsTo_univ", "NormedSpace", "DifferentiableWithinAt.comp", "DifferentiableAt", "Set.univ", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "DifferentiableAt.differentiableWithinAt", "Function.comp", "SeminormedAddCommGroup.toPseudoMetricSpace", "NontriviallyNormedField", "Dif...
true
_private.Mathlib.Data.Nat.Choose.Basic.0.Nat.choose_mul_add._proof_1_3
Mathlib.Data.Nat.Choose.Basic
[ "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "False", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Lean.Grind.CommRing.Expr.var", "Classical.byContradiction", "HSub.hSub", "Nat.ToInt.add_congr", "Lean.RArray.branch", "Nat.ToInt.n...
false
Submodule.mulMap'._proof_3
Mathlib.LinearAlgebra.TensorProduct.Submodule
[ "CommSemiring.toSemiring", "RingHomInvPair", "CommSemiring", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring" ]
false
MeasureTheory.Measure.measure_eq_right_of_subset_of_measure_add_eq
Mathlib.MeasureTheory.Measure.MeasureSpace
[ "MeasureTheory.Measure", "congrArg", "Eq.mp", "MeasureTheory.Measure.measure_eq_left_of_subset_of_measure_add_eq", "HasSubset.Subset", "Ne", "add_comm", "MeasurableSpace", "MeasureTheory.Measure.instAddCommMonoid", "instHAdd", "HAdd.hAdd", "MeasureTheory.Measure.instAdd", "ENNReal", "ENNRe...
true
_private.Mathlib.GroupTheory.Coset.Basic.0.orbit_subgroup_eq_rightCoset.match_1_3
Mathlib.GroupTheory.Coset.Basic
[ "instHSMul", "MulOpposite", "Group", "Membership.mem", "DivInvMonoid.toMonoid", "Subgroup", "And.casesOn", "Group.toDivInvMonoid", "And", "Exists.casesOn", "SetLike.coe", "Monoid.toOppositeMulAction", "And.intro", "MulOpposite.instMonoid", "Exists.intro", "Monoid.toSemigroup", "HSMul...
false
uniqueDiffWithinAt_of_mem_nhds
Mathlib.Analysis.Calculus.TangentCone.Basic
[ "Filter.instMembership", "ContinuousSMul", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Compl.compl", "Filter.NeBot", "Set.univ", "nhdsWithin", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "UniqueDiffWithinAt", "Membership.mem", "nhds", "AddZer...
true
Algebra.IsQuadraticExtension.congr_simp
Mathlib.FieldTheory.Galois.Basic
[ "CommSemiring.toSemiring", "Algebra", "Algebra.IsQuadraticExtension", "CommSemiring", "StrongRankCondition", "Semiring", "Eq.refl", "Eq" ]
true
MulAlgebraNorm.toAlgebraNorm._proof_1
Mathlib.Analysis.Normed.Unbundled.AlgebraNorm
[ "MulAlgebraNorm", "Real", "HMul.hMul", "SeminormedCommRing", "outParam", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "SeminormedCommRing.toCommRing", "MulRingSeminorm.map_mul'", "MulRingNorm.toMulRingSeminorm", "Algebra", "Preorder.toLE", "Real.semiring", "MulOne.toMul", "Eq.le"...
false
MulActionHom.inverse_eq_inverse'
Mathlib.GroupTheory.GroupAction.Hom
[ "MulActionHom.inverse'", "Function.LeftInverse", "SMul", "id", "instFunLikeMulActionHom", "MulActionHom.inverse", "congrFun", "Function.RightInverse", "Eq.refl", "MulActionHom", "Eq", "DFunLike.coe", "rfl" ]
true
Subgroup.ofUnits_iSup₂
Mathlib.Algebra.Group.Submonoid.Units
[ "Monoid", "Monoid.toMulOneClass", "iSup", "Submonoid.units", "Units", "CompleteLattice.toConditionallyCompleteLattice", "Subgroup", "GaloisConnection.l_iSup₂", "Units.instGroup", "ofUnits_units_gc", "Submonoid.instCompleteLattice", "Subgroup.ofUnits", "Subgroup.instCompleteLattice", "Condi...
true
Ideal.FG.isNilpotent_iff_le_nilradical
Mathlib.RingTheory.Noetherian.Nilpotent
[ "le_bot_iff", "Submodule", "Semiring.toModule", "IsScalarTower.right", "Ideal.exists_pow_le_of_le_radical_of_fg", "CommSemiring.toSemiring", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "Exists", "Eq.rec", "Algebra.id", "Submodule.instPartialOrder", "Bo...
true
SupHomClass.rec
Mathlib.Order.Hom.Lattice
[ "Max", "SupHomClass", "Max.max", "Eq", "DFunLike.coe", "FunLike", "SupHomClass.mk" ]
false
_private.Lean.Meta.Tactic.Grind.Arith.CommRing.EqCnstr.0.Lean.Meta.Grind.Arith.CommRing.processNewEq.match_1
Lean.Meta.Tactic.Grind.Arith.CommRing.EqCnstr
[ "Lean.Grind.CommRing.Poly", "Option.ctorIdx", "_private.Lean.Meta.Tactic.Grind.Arith.CommRing.EqCnstr.0.Lean.Meta.Grind.Arith.CommRing.inSameRing?._sparseCasesOn_1", "Option.some", "Nat.hasNotBit", "Option" ]
false
Finset.Nontrivial.add_left
Mathlib.Algebra.Group.Pointwise.Finset.Basic
[ "Eq.mpr", "congrArg", "Finset", "Membership.mem", "Exists", "id", "Ne", "And.casesOn", "instHAdd", "And", "Exists.casesOn", "SetLike.coe", "Finset.instSetLike", "HAdd.hAdd", "IsLeftCancelAdd", "And.intro", "Finset.Nontrivial", "propext", "Exists.intro", "Finset.Nonempty", "Fi...
true
CategoryTheory.GrothendieckTopology.Cover.multifork
Mathlib.CategoryTheory.Sites.Grothendieck
[ "CategoryTheory.GrothendieckTopology.Cover.shape", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Limits.MulticospanShape.L", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom.op", "CategoryTheory.Functor.map", "CategoryTheory.GrothendieckTopology.Cover", "CategoryTheory.GrothendieckTopol...
true
Nat.mul_mul_mul_comm
Init.Data.Nat.Lemmas
[ "Eq.mpr", "HMul.hMul", "congrArg", "Nat.mul_left_comm", "id", "instMulNat", "Nat.mul_assoc", "Nat", "Eq.refl", "Eq", "instHMul" ]
true
Lean.PrettyPrinter.Delaborator.shouldOmitExpr
Lean.PrettyPrinter.Delaborator.Basic
[ "Pure.pure", "instHDiv", "Bool.not", "Lean.PrettyPrinter.Delaborator.getPPOption", "instMonadReaderOfReaderTOfMonad", "Lean.PrettyPrinter.Delaborator.Context", "HSub.hSub", "Lean.Expr.isAtomic", "MonadReader.read", "ReaderT.instMonad", "Lean.PrettyPrinter.Delaborator.DelabM", "Lean.Expr", "L...
true
CategoryTheory.MonoidalCategory.externalProductSwap
Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory.externalProductSwap._proof_1", "CategoryTheory.MonoidalCategory.externalProductBifunctor", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.Functor.co...
true
UInt16.ofNat_toNat
Init.Data.UInt.Lemmas
[ "instPowNat", "congrArg", "UInt16.size", "UInt16.toNat.inj", "UInt16.toNat_lt_size", "UInt16.toNat_ofNat'", "Nat.instMod", "instHMod", "instOfNatNat", "Nat.mod_eq_of_lt", "instNatPowNat", "UInt16.ofNat", "HMod.hMod", "UInt16", "HPow.hPow", "Nat", "True", "eq_self", "of_eq_true", ...
true
Mathlib.Meta.Positivity.evalNatSqrt
Mathlib.Tactic.Positivity.Basic
[ "Qq.QuotedDefEq", "Pure.pure", "Lean.instantiateMVars", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.MetavarKind.natural", "Mathlib.Meta.Positivity.Strictness", "Mathlib.Meta.Positivity.PositivityExt", "ReaderT", "instMonadControlTOfPure", "String", "Lean.Meta.State", ...
true
_private.Lean.Expr.0.Lean.natLEPred
Lean.Expr
[ "Lean.mkApp2", "Lean.Expr", "Lean.Level", "Lean.mkConst", "List.cons", "Lean.Nat.mkInstLE", "Lean.Name.mkStr2", "Lean.Nat.mkType", "Lean.Level.instOfNat", "OfNat.ofNat", "List.nil" ]
true
MvPowerSeries.truncFinset_C
Mathlib.RingTheory.MvPowerSeries.Trunc
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "Finset", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "Nat.instAddMonoid", "MvPowerSeries", "RingHom", "Membership.mem", "MvPowerSeries.truncFinse...
true
Std.Internal.IO.Process.PId._sizeOf_1
Std.Internal.Async.Process
[ "UInt64", "instOfNatNat", "instHAdd", "Std.Internal.IO.Process.PId.rec", "HAdd.hAdd", "UInt64._sizeOf_inst", "Nat", "SizeOf.sizeOf", "instAddNat", "Std.Internal.IO.Process.PId", "OfNat.ofNat" ]
false
MeasureTheory.AnalyticSet_def
Mathlib.MeasureTheory.Constructions.Polish.Basic
[ "Eq.mpr", "Continuous", "Pi.topologicalSpace", "congrArg", "instTopologicalSpaceNat", "Exists", "id", "Subtype", "Subtype.mk", "MeasureTheory.wrapped._@.Mathlib.MeasureTheory.Constructions.Polish.Basic.3011411360._hygCtx._hyg.2", "TopologicalSpace", "And", "Nat", "Set.instEmptyCollection",...
true
_private.Batteries.Data.String.Lemmas.0.Substring.Raw.ValidFor.get.match_1_1
Batteries.Data.String.Lemmas
[ "Unit.unit", "Substring.Raw.mk", "HEq.refl", "String.utf8Len", "Substring.Raw.ValidFor", "Substring.Raw", "List.cons", "Substring.Raw.ValidFor.mk", "instHAppendOfAppend", "List", "instHAdd", "Unit", "String.Pos.Raw.mk", "HAdd.hAdd", "Nat", "eq_of_heq", "Eq.ndrec", "instAddNat", "...
false
_private.Mathlib.Algebra.MvPolynomial.Monad.0.MvPolynomial.vars_bind₁._simp_1_1
Mathlib.Algebra.MvPolynomial.Monad
[ "Finset", "PartialOrder.toPreorder", "Preorder.toLE", "HasSubset.Subset", "Finset.partialOrder", "LE.le", "propext", "Finset.instHasSubset", "Finset.le_iff_subset", "Eq" ]
false
AddMonoidHom.mclosure_preimage_le
Mathlib.Algebra.Group.Submonoid.Operations
[ "Iff.mpr", "PartialOrder.toPreorder", "Preorder.toLE", "AddSubmonoid.subset_closure", "Membership.mem", "AddZeroClass.toAddZero", "AddSubmonoid.comap", "AddMonoidHomClass", "AddSubmonoid", "HasSubset.Subset", "LE.le", "AddZeroClass", "SetLike.coe", "AddSubmonoid.mem_comap", "Set.preimage...
true
Std.Sat.AIG.RefVec.IfInput.noConfusion
Std.Sat.AIG.If
[ "HEq.refl", "Std.Sat.AIG.RefVec.IfInput", "Std.Sat.AIG.RefVec.IfInput.noConfusionType", "Std.Sat.AIG.Ref", "Std.Sat.AIG", "Nat", "Std.Sat.AIG.RefVec.IfInput.casesOn", "eq_of_heq", "Eq.ndrec", "HEq", "Hashable", "Std.Sat.AIG.RefVec", "Eq", "DecidableEq" ]
false
Batteries.BinomialHeap.Imp.Heap.WF.findMin._unsafe_rec
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.FindMin.WF", "Batteries.BinomialHeap.Imp.Heap.findMin", "Batteries.BinomialHeap.Imp.Heap.WF", "Batteries.BinomialHeap.Imp.Heap.WF.findMin._unsafe_rec", "Batteries.BinomialHeap.Imp.FindMin.val", "Batteries.BinomialHeap.Imp.Heap", "Batteries.BinomialHeap.Imp.HeapNode", "Batte...
false
_private.Init.Data.List.Monadic.0.List.zipWithM'.match_1.eq_2
Init.Data.List.Monadic
[ "Eq.mpr", "False", "Nat.ne_of_beq_eq_false", "congrArg", "False.elim", "Nat.shiftRight", "id", "Nat.hasNotBit", "instOfNatNat", "List.rec", "List.cons", "Nat.land", "List", "List.zipWithM'.match_1", "Nat", "_private.Init.Data.List.Monadic.0.List.zipWithM'.match_1.splitter._sparseCasesO...
true
SeparationQuotient.outCLM_isUniformInducing
Mathlib.Topology.Algebra.SeparationQuotient.Section
[ "UniformSpace", "Eq.mpr", "IsUniformInducing.id", "SeparationQuotient.instUniformSpace", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ContinuousLinearMap.funLike", "SeparationQuotient.isUniformInducing_mk", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", ...
true
CategoryTheory.Functor.Fiber.fiberCategory._proof_1
Mathlib.CategoryTheory.FiberedCategory.Fiber
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.IsHomLift", "CategoryTheory.CategoryStruct.id", "inferInstance", "Subtype", "CategoryTheory.Functor.Fiber", "CategoryTheory.IsHomLift.comp_of_lift_id", "CategoryTheory.CategoryStruct.comp", ...
false
Std.TreeMap.mem_insert._simp_1
Std.Data.TreeMap.Lemmas
[ "Std.TreeMap.insert", "Membership.mem", "Ordering", "Ordering.eq", "Std.TransCmp", "Std.TreeMap.mem_insert", "Std.TreeMap.instMembership", "propext", "Or", "Eq", "Std.TreeMap" ]
false
Int.natAbs_negSucc
Init.Data.Int.Order
[ "Nat", "Int.natAbs", "Int.negSucc", "Nat.succ", "Eq", "rfl" ]
true
Combinatorics.Line.map
Mathlib.Combinatorics.HalesJewett
[ "Combinatorics.Line.mk", "Combinatorics.Line", "Combinatorics.Line.idxFun", "Option.map", "Combinatorics.Line.map._proof_2" ]
true
IsClosed.neg
Mathlib.Topology.Algebra.Group.Basic
[ "ContinuousNeg.continuous_neg", "ContinuousNeg", "IsClosed", "TopologicalSpace", "InvolutiveNeg", "Set.neg", "IsClosed.preimage", "InvolutiveNeg.toNeg", "Neg.neg", "Set" ]
true
Filter.sdiff_liminf
Mathlib.Order.LiminfLimsup
[ "Eq.mpr", "Lattice.toSemilatticeSup", "compl_inf", "compl_compl", "Filter.liminf", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Filter.limsup_compl", "congrArg", "Compl.compl", "Order.Coframe.toCompleteLattice", "Function.comp", "BooleanAlgebra.toCompl", "CompleteLattice.toConditional...
true
AddSubmonoid.LocalizationMap.ofAddEquivOfDom_comp_symm
Mathlib.GroupTheory.MonoidLocalization.Maps
[ "AddMonoidHom.instAddMonoidHomClass", "AddMonoid.toAddZeroClass", "AddEquiv.toAddMonoidHom", "AddSubmonoid.LocalizationMap", "AddZeroClass.toAddZero", "AddSubmonoid.LocalizationMap.instFunLike", "AddSubmonoid", "AddEquiv.apply_symm_apply", "AddCommMonoid", "congr_arg", "AddSubmonoid.map", "Add...
true
Lean.Doc.kw?._regBuiltin.Lean.Doc.kw?.getArgs.declRange_7
Lean.Elab.DocString.Builtin.Keywords
[ "Lean.addBuiltinDeclarationRanges", "Lean.DeclarationRange.mk", "IO", "instOfNatNat", "Unit", "Lean.Position.mk", "Nat", "OfNat.ofNat", "Lean.DeclarationRanges.mk", "Lean.Name.mkStr4" ]
false
_private.Lean.Widget.Diff.0.Lean.Widget.exprDiffCore.piDiff._unsafe_rec
Lean.Widget.Diff
[ "_private.Lean.Widget.Diff.0.Lean.Widget.ExprDiffTag.delete", "Pure.pure", "_private.Lean.Widget.Diff.0.Lean.Widget.exprDiffCore.piDiff.match_4", "Lean.MonadError.mk", "Lean.instMonadExceptOfExceptionCoreM", "Lean.LocalDeclKind.default", "_private.Lean.Widget.Diff.0.Lean.Widget.instEmptyCollectionExprDi...
false
Std.toList_Roc_eq_toList_Rcc_of_isSome_succ?
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "Std.Roc.toList", "Std.PRange.UpwardEnumerable.succ?", "LE", "Bool.true", "List", "DecidableLE", "Option.get", "Std.Rxc.IsAlwaysFinite", "Std.Rcc.toList", "Bool", "Std.toList_roc_eq_toList_rcc_of_isSome_succ?", "Option.isSome", "Std.Rcc.mk", "Std.PRange.Law...
true
Function.locallyFinsuppWithin.instLattice._proof_4
Mathlib.Topology.LocallyFinsupp
[ "Lattice", "Function.locallyFinsuppWithin.instFunLike", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "Function.locallyFinsuppWithin.ext", "LE.le", "TopologicalSpace", "le_antisymm", "Function.locallyFinsuppWithin.instLE", "Function.locallyFinsuppWithin", "Eq", ...
false
Mathlib.Tactic.Ring.Common.ExProd.evalInv._sunfold
Mathlib.Tactic.Ring.Common
[ "Pure.pure", "Mathlib.Tactic.Ring.Common.evalInvAtom", "Mathlib.Tactic.Ring.Common.Result.mk", "Lean.Name.toString", "Lean.Core.checkSystem", "ReaderT", "Lean.Meta.State", "Lean.Expr.const", "Lean.Name.mkStr5", "instMonadLiftT", "Mathlib.Tactic.Ring.Common.RingCompute.inv", "Mathlib.Tactic.Rin...
false
Lean.Parser.ParserState.restore
Lean.Parser.Types
[ "Lean.Parser.ParserState.stxStack", "String.Pos.Raw", "Option.none", "Lean.Parser.Error", "Nat", "Lean.Parser.ParserState.mk", "Lean.Parser.ParserState", "Lean.Parser.ParserState.lhsPrec", "Lean.Parser.ParserState.recoveredErrors", "Lean.Parser.SyntaxStack.shrink", "Lean.Parser.ParserState.cache...
true
MeasureTheory.Measure.MutuallySingular
Mathlib.MeasureTheory.Measure.MutuallySingular
[ "MeasureTheory.Measure", "MeasurableSet", "Compl.compl", "Exists", "Set.instCompl", "MeasurableSpace", "And", "ENNReal", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "Eq", "DFunLike.coe", "MeasureTheory.Measure.instFunLike", "Set" ]
true
groupCohomology.coboundaries₂
Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree
[ "Pi.Function.module", "Submodule", "Rep.V", "CommRing", "Pi.addCommMonoid", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Rep.hV2", "Group", "Rep.hV1", "LinearMap.range", "DivInvMonoid.toMonoid", "groupCohomology.coboundaries₁._proof_1", "Group.toDivInvMonoid", "ModuleCat.o...
true
MeasureTheory.Lp.constL._proof_1
Mathlib.MeasureTheory.Function.LpSpace.Indicator
[ "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Norm.norm", "Real.instPow", "Real.instLE", "Real", "MeasureTheory.Measure", "instHDiv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "HMul.hMul", "LE.le.trans_eq", "Real.instDivInvMonoid", "Set.univ", "AddMonoid.toAddZeroClass...
false
Filter.map_map₂_distrib_left
Mathlib.Order.Filter.NAry
[ "Filter.map", "Filter.map_map₂_distrib", "Filter.map₂", "Eq", "Filter" ]
true
TopologicalSpace.Clopens.mk.congr_simp
Mathlib.Topology.LocallyConstant.Basic
[ "Eq.rec", "TopologicalSpace", "TopologicalSpace.Clopens.mk", "Eq.ndrec", "Eq.refl", "TopologicalSpace.Clopens", "IsClopen", "Eq", "Set" ]
true
_private.Mathlib.Analysis.Analytic.ChangeOrigin.0.FormalMultilinearSeries.changeOrigin_eval._simp_1_3
Mathlib.Analysis.Analytic.ChangeOrigin
[ "NormedCommRing.toSeminormedCommRing", "Equiv.instEquivLike", "NormedSpace.toIsBoundedSMul", "FormalMultilinearSeries.changeOriginIndexEquiv", "UniformContinuousConstSMul.to_continuousConstSMul", "NormedSpace", "FormalMultilinearSeries", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoi...
false
Std.HashSet.size_diff_add_size_inter_eq_size_left
Std.Data.HashSet.Lemmas
[ "Std.HashSet.size", "Std.HashSet", "Std.HashSet.instSDiff", "LawfulHashable", "Inter.inter", "SDiff.sdiff", "instHAdd", "Unit", "Std.HashSet.instInter", "EquivBEq", "Std.HashSet.inner", "HAdd.hAdd", "Nat", "instAddNat", "Std.HashMap.size_diff_add_size_inter_eq_size_left", "Hashable", ...
true
NonUnitalNonAssocRing.left_distrib
Mathlib.Algebra.Ring.Defs
[ "NonUnitalNonAssocRing", "HMul.hMul", "AddMonoid.toAddSemigroup", "NonUnitalNonAssocRing.toMul", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "instHAdd", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "SubNegMonoid.toAddMonoid", "Eq", "instHMul" ]
true
WithTop.instCompleteLinearOrder._proof_12
Mathlib.Order.ConditionallyCompleteLattice.Basic
[ "LinearOrder.toOrd", "Preorder.toLT", "LinearOrder.toDecidableEq", "ConditionallyCompleteLinearOrderBot", "PartialOrder.toPreorder", "Ordering", "compareOfLessAndEq", "Ord.compare", "ConditionallyCompleteLinearOrder.toLinearOrder", "LinearOrder.toDecidableLT", "ConditionallyCompleteLinearOrderBo...
false
Std.Ric.pairwise_toList_le
Init.Data.Range.Polymorphic.Lemmas
[ "Iff.mpr", "Std.PRange.UpwardEnumerable", "List.Pairwise", "Std.PRange.UpwardEnumerable.LE", "Std.PRange.UpwardEnumerable.LT", "Std.PRange.LawfulUpwardEnumerableLeast?", "Std.PRange.UpwardEnumerable.le_iff", "Std.Ric.toList", "LE.le", "LE", "Std.Ric", "DecidableLE", "Std.Rxc.IsAlwaysFinite",...
true