name
stringlengths
2
347
module
stringlengths
6
90
deps
listlengths
0
692
allowCompletion
bool
2 classes
WeierstrassCurve.Affine.nonsingularPointEquiv_symm_some
Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point
[ "CommRing", "Equiv.instEquivLike", "Option.some", "Equiv", "Subtype", "Prod.mk", "Prod.fst", "Subtype.mk", "WeierstrassCurve.Affine.Nonsingular", "WithZero", "WeierstrassCurve.Affine.Point.some", "WeierstrassCurve.Affine.nonsingularPointEquiv", "WeierstrassCurve.Affine", "WeierstrassCurve....
true
CategoryTheory.Limits.createsLimitOfLeftOp
Mathlib.CategoryTheory.Limits.Preserves.Creates.Opposites
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "CategoryTheory.Limits.Cocone", "CategoryTheory.Limits.Cone", "CategoryTheory.Functor.mapCocone", "Opposite", "CategoryTheory.Limits.ReflectsLimit", "CategoryTheory.Limits.isColimitCoconeLeftOpOfCone", "CategoryTheory.Functor.comp", "_private....
true
CategoryTheory.PreOneHypercover.Hom.recOn
Mathlib.CategoryTheory.Sites.Hypercover.One
[ "CategoryTheory.PreZeroHypercover.Hom.h₀", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.PreOneHypercover", "CategoryTheory.PreOneHypercover.I₁", "CategoryTheory.PreOneHypercover.toPreZeroHypercover", "CategoryTheory.PreOneHypercover.Hom.mk", "CategoryTheory.PreZeroHypercover...
false
finSigmaFinEquiv._sunfold
Mathlib.Algebra.BigOperators.Fin
[ "finSigmaFinEquiv._proof_1", "Inhabited.default", "Trans.trans", "Equiv.instEquivLike", "Finset.univ", "finSigmaFinEquiv.match_1", "Equiv.equivOfIsEmpty", "Equiv.sigmaCongrLeft", "Fin.instUnique", "finCongr", "Sum", "Equiv", "instOfNatNat", "Sum.inl", "Equiv.sumSigmaDistrib", "Fin.fint...
false
_private.Lean.Meta.Tactic.Simp.Arith.Nat.Basic.0.Nat.Linear.Expr.applyPerm.go._f
Lean.Meta.Tactic.Simp.Arith.Nat.Basic
[ "Nat.Linear.Expr.below", "Lean.Perm", "Option.getD", "Nat.Linear.Expr.mulL", "Membership.mem", "Nat.Linear.Expr", "Std.HashMap", "instHashableNat", "Nat.Linear.Expr.num", "instBEqOfDecidableEq", "Nat.Linear.Var", "_private.Lean.Meta.Tactic.Simp.Arith.Nat.Basic.0.Nat.Linear.Expr.applyPerm.go.ma...
false
Lean.DependsOn.State.casesOn
Lean.MetavarContext
[ "Lean.DependsOn.State", "Lean.DependsOn.State.mk", "Lean.MetavarContext", "Lean.DependsOn.State.rec", "Lean.ExprSet" ]
false
_private.Lean.Compiler.LCNF.AlphaEqv.0.Lean.Compiler.LCNF.AlphaEqv.eqvLetValue._sparseCasesOn_10
Lean.Compiler.LCNF.AlphaEqv
[ "Lean.Compiler.LCNF.LetValue.reuse", "Lean.Compiler.LCNF.Arg", "Lean.Compiler.LCNF.LetValue.pap", "Nat.ne_of_beq_eq_false", "Lean.Compiler.LCNF.LitValue", "Lean.Compiler.LCNF.LetValue.oproj", "Lean.Compiler.LCNF.LetValue.rec", "Lean.Compiler.LCNF.LetValue", "Nat.shiftRight", "Lean.Compiler.LCNF.Le...
false
Std.TreeMap.instLawfulGetElemMemOfTransCmp
Std.Data.TreeMap.Lemmas
[ "Eq.mpr", "Inhabited.default", "Decidable.casesOn", "GetElem?.toGetElem", "congrArg", "Decidable", "Std.TreeMap.getElem?_eq_none", "Option.some", "Membership.mem", "Ordering", "dif_pos", "Std.TreeMap.getElem?_eq_some_getElem", "id", "Option.get!", "Std.TransCmp", "dif_neg", "dite", ...
true
_private.Mathlib.Data.List.Cycle.0.List.next_eq_getElem._proof_1_29
Mathlib.Data.List.Cycle
[ "cond", "List.getLast", "of_eq_false", "Lean.Grind.CommRing.le_norm_expr", "Lean.Grind.instOrderedRingInt", "Lean.RArray.leaf", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "Lean.Gri...
false
Subalgebra.inv_mem_of_algebraic
Mathlib.RingTheory.Algebraic.Basic
[ "Subalgebra.instSetLike", "Eq.mpr", "Polynomial.C", "GroupWithZero.toMonoidWithZero", "NonAssocSemiring.toAddCommMonoidWithOne", "DivInvMonoid.toInv", "IsDomain.to_noZeroDivisors", "AlgHom.algHomClass", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "DivisionCommMonoid.toDivisionMonoid", "DivInv...
true
CategoryTheory.IsPushout.epi_shortComplex_g
Mathlib.Algebra.Homology.CommSq
[ "CategoryTheory.Limits.Cofork.IsColimit.hom_ext", "Eq.mpr", "NegZeroClass.toNeg", "CategoryTheory.CommSq.cokernelCofork", "CategoryTheory.Epi", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "congrArg", "CategoryTheory.Limits.biprod.desc", "C...
true
IsFractionRing.algEquivOfAlgEquiv
Mathlib.RingTheory.Localization.FractionRing
[ "CommRing", "CommSemiring.toSemiring", "IsFractionRing", "IsScalarTower", "Algebra", "Algebra.toSMul", "nonZeroDivisors", "CommSemiring", "CommRing.toCommSemiring", "AlgEquiv", "IsLocalization.algEquivOfAlgEquiv", "IsFractionRing.algEquivOfAlgEquiv._proof_2", "Semiring.toMonoidWithZero" ]
true
CategoryTheory.CreatesLimitsOfSize.mk._flat_ctor
Mathlib.CategoryTheory.Limits.Creates
[ "CategoryTheory.Functor", "CategoryTheory.CreatesLimitsOfSize.mk", "CategoryTheory.CreatesLimitsOfShape", "CategoryTheory.CreatesLimitsOfSize.CreatesLimitsOfShape._autoParam", "autoParam", "CategoryTheory.CreatesLimitsOfSize", "CategoryTheory.Category" ]
false
Homeomorph.piUnique_symm_apply
Mathlib.Topology.Homeomorph.Lemmas
[ "Inhabited.default", "Pi.topologicalSpace", "Unique", "TopologicalSpace", "Homeomorph.instEquivLike", "Homeomorph.symm", "uniqueElim", "Homeomorph", "Eq.refl", "Homeomorph.piUnique", "Unique.instInhabited", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
Std.Notify.Consumer.select.sizeOf_spec
Std.Sync.Notify
[ "Std.Notify.Consumer._sizeOf_inst", "Std.Notify.Consumer", "instOfNatNat", "Std.Internal.IO.Async.Waiter", "instHAdd", "HAdd.hAdd", "Nat", "Std.Notify.Consumer.select", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "SizeOf", "OfNat.ofNat", "Eq", "Std.Internal.IO.Async.Waiter._sizeOf_inst" ]
true
MeasureTheory.pdf.IsUniform._auto_1
Mathlib.Probability.Distributions.Uniform
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.Name.mkStr2", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Lean.KVMap.ctorIdx
Lean.Data.KVMap
[ "Nat", "Lean.KVMap" ]
false
CategoryTheory.SimplicialObject.equivalenceLeftToRight._proof_4
Mathlib.AlgebraicTopology.CechNerve
[ "CategoryTheory.Comma.right", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Arrow.Hom.right", "CategoryTheory.SimplicialObject.Augmented.toArrow", "congrArg", "Quiver.Hom.op", "CategoryTheory.SimplicialObject.const", "CategoryTheory.Functor.category", "Categ...
false
_private.Lean.Elab.ComputedFields.0.Lean.Elab.ComputedFields.setComputedFields.match_1
Lean.Elab.ComputedFields
[ "Prod.mk", "Array", "Lean.Name", "Prod", "Prod.casesOn" ]
false
Mathlib.Meta.NormNum.isNat_ordinalLE_true
Mathlib.Tactic.NormNum.Ordinal
[ "Iff.mpr", "Mathlib.Meta.NormNum.IsNat", "of_decide_eq_true", "Ordinal.partialOrder", "instIsBotZeroClass", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "AddZeroClass.toAddZero", "AddMonoidWithOne.toNatCast", "LE.le", "instLENat", "_private.Mathlib.Tactic.NormNum.O...
true
ClosedSubgroup.casesOn
Mathlib.Topology.Algebra.Group.ClosedSubgroup
[ "ClosedSubgroup.mk", "Monoid.toMulOneClass", "Submonoid.toSubsemigroup", "Group", "MulOne.toMul", "DivInvMonoid.toMonoid", "Subgroup", "Group.toDivInvMonoid", "IsClosed", "TopologicalSpace", "MulOneClass.toMulOne", "Subsemigroup.carrier", "ClosedSubgroup", "ClosedSubgroup.rec", "Subgroup...
false
_private.Mathlib.RingTheory.Ideal.AssociatedPrime.Basic.0.associatedPrimes.subset_union_of_exact.match_1_3
Mathlib.RingTheory.Ideal.AssociatedPrime.Basic
[ "Submodule", "Submodule.colon", "Semiring.toModule", "CommSemiring.toSemiring", "LinearMap.instFunLike", "Membership.mem", "Set.instSingletonSet", "Bot.bot", "Ideal", "LinearMap", "AddCommMonoid", "Monoid.toPow", "CommSemiring", "NonUnitalNonAssocSemiring.toAddCommMonoid", "Submodule.ins...
false
_private.Mathlib.Analysis.RCLike.Inner.0.RCLike.wInner.eq_1
Mathlib.Analysis.RCLike.Inner
[ "NormedCommRing.toSeminormedCommRing", "Real", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "SeminormedAddCommGroup", "RCLike.toNormedAlgebra", "RCLike.wInner", "Finset.univ", "Inner.inner", "SeminormedRing.toRing", "Algebra.toSMul", "NormedField.toField", "NonUnitalNonAssoc...
true
Std.IterM.DefaultConsumers.forIn'._proof_5
Init.Data.Iterators.Consumers.Monadic.Loop
[ "Std.IterStep", "Std.IterStep.successor", "Std.IterM.IsPlausibleIndirectOutput.indirect", "Option.some", "Std.IterM.IsPlausibleStep", "Std.IterStep.skip", "Std.IterM.IsPlausibleIndirectOutput", "Std.Iterator", "And", "And.intro", "Exists.intro", "Std.IterM", "Eq", "rfl", "Option" ]
false
SMulPosStrictMono.recOn
Mathlib.Algebra.Order.Module.Defs
[ "instHSMul", "Preorder.toLT", "SMul", "SMulPosStrictMono", "SMulPosStrictMono.rec", "LT.lt", "Zero.toOfNat0", "HSMul.hSMul", "OfNat.ofNat", "SMulPosStrictMono.mk", "Preorder", "Zero" ]
false
Real.Angle.coe_nsmul
Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
[ "Real", "instHSMul", "Real.Angle", "Real.Angle.coe", "Real.instAddMonoid", "AddMonoid.toNSMul", "AddCommGroup.toAddGroup", "AddGroup.toSubNegMonoid", "Nat", "NormedAddCommGroup.toAddCommGroup", "HSMul.hSMul", "SubNegMonoid.toAddMonoid", "Eq", "rfl", "Real.instNormedAddCommGroupAngle" ]
true
nhdsWithin_Ico_eq_nhdsGE
Mathlib.Topology.Order.OrderClosed
[ "Eq.mpr", "Iio_mem_nhds", "Preorder.toLT", "Lattice.toSemilatticeSup", "Set.Ici", "ClosedIciTopology", "congrArg", "LinearOrder", "nhdsWithin", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "DistribLattice.toLattice", "id", "nhdsWithin_inter_of_mem", "LE.le", "Set.Ico", "Top...
true
CategoryTheory.ShortComplex.Splitting.unop
Mathlib.Algebra.Homology.ShortComplex.Exact
[ "CategoryTheory.ShortComplex.Splitting.unop._proof_6", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.Splitting.unop._proof_3", "CategoryTheory.ShortComplex.X₁", "Quiver.Hom.unop", "CategoryTheory.Preadditive", "CategoryTheory.instPr...
true
AlternatingMap.domCoprod'._proof_2
Mathlib.LinearAlgebra.Alternating.DomCoprod
[ "TensorProduct.leftHasSMul", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AlternatingMap.domCoprod'._proof_1", "AddCommGroup", "smulCommClass_self", "CommSemiring", "CommMonoid.toMonoid", "TensorProduct.instSMul._proof_1", "CommSemiring.toCommMonoid", "Semiring.toMonoid", "Tenso...
false
CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ._proof_2
Mathlib.CategoryTheory.Limits.Shapes.Kernels
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.Limits.CokernelCofork.condition", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheo...
false
mem_sphere_zero_iff_norm
Mathlib.Analysis.Normed.Group.Basic
[ "AddGroup.toSubtractionMonoid", "Norm.norm", "SeminormedAddGroup.toNorm", "Real", "SeminormedAddGroup.toAddGroup", "congrArg", "SeminormedAddGroup", "Membership.mem", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "Metric.mem_sphere", "iff_self", "Iff", "Seminor...
true
Lean.Language.Lean.CommandParsedSnapshot.mk
Lean.Language.Lean.Types
[ "Lean.Language.Lean.CommandElaboratingSnapshot", "Lean.Language.Lean.CommandParsedSnapshot.mk", "Lean.Syntax", "Lean.Parser.ModuleParserState", "Lean.Language.SnapshotTask", "Lean.Language.Snapshot", "Lean.Language.Lean.CommandParsedSnapshot", "Option" ]
true
instOmegaCompletePartialOrderForall._proof_3
Mathlib.Order.OmegaCompletePartialOrder
[ "instOmegaCompletePartialOrderForall._proof_1", "PartialOrder.toPreorder", "Preorder.toLE", "LE.le", "OmegaCompletePartialOrder.ωSup_le", "OmegaCompletePartialOrder", "OmegaCompletePartialOrder.Chain", "Pi.partialOrder", "Nat", "OmegaCompletePartialOrder.toPartialOrder", "OmegaCompletePartialOrd...
false
_private.Batteries.Control.AlternativeMonad.0.Option.instLawfulAlternative.match_1
Batteries.Control.AlternativeMonad
[ "Option.casesOn", "Option.some", "Option.none", "Option" ]
false
List.append_cons_inj_of_notMem
Mathlib.Data.List.Basic
[ "Eq.mpr", "False", "congrArg", "and_self", "true_or", "False.elim", "_private.Mathlib.Data.List.Basic.0.List.append_cons_inj_of_notMem._simp_1_2", "Membership.mem", "Exists", "Eq.mp", "not_true_eq_false", "id", "List.append_nil", "Or.casesOn", "List.cons", "And.casesOn", "funext", ...
true
Function.emptyHom._proof_1
Mathlib.ModelTheory.Basic
[ "FirstOrder.Language.empty", "False", "False.elim", "Function.comp", "FirstOrder.Language.Structure", "Nat", "FirstOrder.Language.Functions", "Empty.casesOn", "FirstOrder.Language.Structure.funMap", "Fin", "Eq" ]
false
Filter.Germ.instSemifield._proof_6
Mathlib.Order.Filter.FilterProduct
[ "Filter.Germ.instDivisionSemiring", "DivisionSemiring.toInv", "AddMonoid.toZero", "Semifield", "DivisionSemiring.inv_zero", "Inv.inv", "Semifield.toDivisionSemiring", "Filter.Germ", "DivisionSemiring.toSemiring", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "OfNat.ofNat", "Ultrafilter", "...
false
Fin.eq_self_or_eq_succAbove
Mathlib.Data.Fin.Tuple.Basic
[ "Fin.succAbove", "Fin.succAboveCases", "Exists", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "Exists.intro", "instAddNat", "Or.inl", "Or", "OfNat.ofNat", "Fin", "Eq", "Or.inr", "rfl" ]
true
_private.Mathlib.Algebra.Module.ZLattice.Summable.0.ZLattice.sum_piFinset_Icc_rpow_le._proof_1_7
Mathlib.Algebra.Module.ZLattice.Summable
[ "Lean.RArray.leaf", "False", "HMul.hMul", "of_decide_eq_true", "Classical.byContradiction", "HSub.hSub", "Nat.not_le_eq", "Preorder.toLE", "Nat.Linear.Expr.mulL", "id", "False.casesOn", "instSubNat", "instMulNat", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "Bool.t...
false
WeakFEPair.mk._flat_ctor
Mathlib.NumberTheory.LSeries.AbstractFuncEq
[ "Real.instPow", "Real", "Set.Ioi", "instHSMul", "instHDiv", "HMul.hMul", "NormedSpace", "Real.instZero", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "Real.instDivInvMonoid", "NormedSpace.toModule", "AddMonoid.toAddZeroClass", "WeakFEPair", "Asymptotics.IsBigO", "C...
false
ContinuousConstVAdd.op
Mathlib.Topology.Algebra.ConstMulAction
[ "Eq.mpr", "Continuous", "ContinuousConstVAdd", "congrArg", "ContinuousConstVAdd.mk", "AddOpposite", "VAdd", "IsCentralVAdd.op_vadd_eq_vadd", "id", "AddOpposite.rec'", "ContinuousConstVAdd.continuous_const_vadd", "HVAdd.hVAdd", "TopologicalSpace", "funext", "instHVAdd", "IsCentralVAdd",...
true
Ring.instAddCommMonoidDirectLimit
Mathlib.Algebra.Colimit.Ring
[ "CommRing", "Add.mk", "Ring.instAddCommMonoidDirectLimit._proof_9", "AddMonoid.mk", "Ring.instAddCommMonoidDirectLimit._proof_4", "Preorder.toLE", "Ring.instZeroDirectLimit", "LE.le", "AddSemigroup.mk", "AddCommMonoid", "Ring.instAddCommMonoidDirectLimit._proof_8", "Ring.DirectLimit", "Ring....
true
CategoryTheory.LocalizerMorphism.LeftResolution.rec
Mathlib.CategoryTheory.Localization.Resolution
[ "CategoryTheory.MorphismProperty", "CategoryTheory.LocalizerMorphism.LeftResolution", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.LocalizerMorphism.functor", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.LocalizerMorphism.LeftResolution.mk", "CategoryTheory.Fu...
false
RestrictedProduct.instAddMonoidCoeOfAddSubmonoidClass.eq_1
Mathlib.Topology.Algebra.RestrictedProduct.Basic
[ "SetLike", "RestrictedProduct.instAddMonoidCoeOfAddSubmonoidClass._proof_1", "RestrictedProduct.instAddMonoidCoeOfAddSubmonoidClass._proof_6", "AddMonoid.toAddZeroClass", "RestrictedProduct.instAddMonoidCoeOfAddSubmonoidClass._proof_2", "RestrictedProduct.instZeroCoeOfZeroMemClass", "AddSubmonoidClass",...
true
String.revPositions
Init.Data.String.Iterate
[ "Pure.pure", "String.toSlice", "Monad.toApplicative", "String", "MonadLiftT.monadLift", "instMonadLiftT", "Subtype", "Ne", "Id", "Applicative.toPure", "String.Internal.ofToSliceWithProof", "String.Slice.endPos", "Std.Iterators.instMonadPostconditionT", "Std.Iter", "Std.Iterators.Types.Ma...
true
WeierstrassCurve.Projective.dblY_of_Z_eq_zero
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Formula
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "WeierstrassCurve.Projective.negY", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "WeierstrassCurve.Projective.negY_eq", "CommRing", "WeierstrassCurve...
true
AddMonoidHom.compHom
Mathlib.Algebra.Group.Hom.Instances
[ "AddMonoid.toAddZeroClass", "AddMonoidHom.compHom._proof_1", "AddZeroClass.toAddZero", "AddMonoidHom.mk", "AddMonoidHom.compHom._proof_2", "AddMonoidHom.instAddCommMonoid", "ZeroHom.mk", "AddCommMonoid", "AddZero.toZero", "AddZeroClass", "AddCommMonoid.toAddMonoid", "AddMonoidHom", "AddMonoi...
true
CategoryTheory.instTransZigzagZag._proof_1
Mathlib.CategoryTheory.IsConnected
[ "CategoryTheory.Zigzag", "CategoryTheory.Zigzag.of_zag", "CategoryTheory.Zag", "CategoryTheory.Zigzag.trans", "CategoryTheory.Category" ]
false
Hyperreal.IsSt.st_eq
Mathlib.Analysis.Real.Hyperreal
[ "Eq.mpr", "Real", "Real.instZero", "congrArg", "Classical.propDecidable", "Exists", "dif_pos", "id", "Hyperreal.IsSt.unique", "dite", "Classical.choose_spec", "Hyperreal", "Exists.intro", "Classical.choose", "Zero.toOfNat0", "Hyperreal.st.eq_1", "Hyperreal.IsSt", "OfNat.ofNat", "...
true
AddMonoidHom.mapDMatrix_apply
Mathlib.Data.Matrix.DMatrix
[ "DMatrix", "DMatrix.map", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "AddMonoid", "DMatrix.instAddMonoid", "AddMonoidHom", "AddMonoidHom.instFunLike", "Eq", "AddMonoidHom.mapDMatrix", "DFunLike.coe", "rfl" ]
true
Metric.vadd_ball
Mathlib.Topology.MetricSpace.IsometricSMul
[ "Real", "IsIsometricVAdd", "AddMonoid.toAddSemigroup", "Set.vaddSet", "Metric.ball", "IsometryEquiv.constVAdd", "HVAdd.hVAdd", "AddAction", "AddAction.toAddSemigroupAction", "PseudoMetricSpace", "AddGroup", "AddSemigroupAction.toVAdd", "AddGroup.toSubNegMonoid", "instHVAdd", "IsometryEqu...
true
Int.ceil_lt_iff
Mathlib.Algebra.Order.Floor.Ring
[ "Int.cast", "Eq.mpr", "AddGroupWithOne.toAddGroup", "congrArg", "Int.le_sub_one_iff", "LinearOrder", "Iff.rfl", "PartialOrder.toPreorder", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "id", "AddMonoidWith...
true
AlexDisc.Iso.mk
Mathlib.Topology.Order.Category.AlexDisc
[ "AlexDisc.concreteCategory", "ContinuousMap", "CategoryTheory.Iso", "CategoryTheory.Iso.mk", "toContinuousMap", "AlexDisc", "AlexDisc.Iso.mk._proof_2", "AlexDisc.toTopCat", "TopCat.str", "AlexDisc.Iso.mk._proof_1", "Homeomorph.instEquivLike", "TopCat.carrier", "CategoryTheory.ConcreteCategor...
true
sup_of_le_left
Mathlib.Order.Lattice
[ "Iff.mpr", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "sup_eq_left", "LE.le", "Max.max", "SemilatticeSup.toPartialOrder", "Eq", "SemilatticeSup" ]
true
Std.ExtDTreeMap.Const.get?_ofList_of_contains_eq_false
Std.Data.ExtDTreeMap.Lemmas
[ "Std.DTreeMap.Const.get?_ofList_of_contains_eq_false", "List.map", "List.contains", "Std.ExtDTreeMap.Const.ofList", "Ordering", "Std.TransCmp", "Prod.fst", "Std.ExtDTreeMap.Const.get?", "Option.none", "List", "Std.LawfulBEqCmp", "Bool", "Prod", "Bool.false", "BEq", "Eq", "Option" ]
true
Int16.toNatClampNeg_minValue
Init.Data.SInt.Lemmas
[ "Int16.toNatClampNeg", "instOfNatNat", "Nat", "OfNat.ofNat", "Eq", "Int16.minValue", "rfl" ]
true
CliffordAlgebraQuaternion.toQuaternion_comp_ofQuaternion
Mathlib.LinearAlgebra.CliffordAlgebra.Equivs
[ "RingHom.instRingHomClass", "CliffordAlgebra.ι", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Algebra.algebraMap", "Ring.toNonAssocRing", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAdd...
true
FintypeCat.toLightProfinite_map_hom_hom_apply
Mathlib.Topology.Category.LightProfinite.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "TopCat.instCategory", "SecondCountableTopology", "ContinuousMap", "Finite", "FintypeCat", "FintypeCat.toLightProfinite._proof_8", "TypeCat.instFunLikeFun", "CategoryTheory.ObjectProperty.FullSubcatego...
true
Real.cosh_log
Mathlib.Analysis.SpecialFunctions.Log.Basic
[ "Eq.mpr", "Real", "instHDiv", "Real.instZero", "congrArg", "Real.instInv", "Real.instDivInvMonoid", "Nat.instAtLeastTwoHAddOfNat", "Real.instLT", "id", "HDiv.hDiv", "instOfNatNat", "Real.exp", "Real.exp_log", "Real.log", "Real.instAdd", "instHAdd", "Inv.inv", "HAdd.hAdd", "Nat....
true
MeasurableSet.disjointed._simp_1
Mathlib.MeasureTheory.MeasurableSpace.Constructions
[ "MeasurableSet", "disjointed", "BooleanAlgebra.toGeneralizedBooleanAlgebra", "Nat.instLocallyFiniteOrder", "LocallyFiniteOrder.toLocallyFiniteOrderBot", "MeasurableSpace", "Nat.instPreorder", "Set.instBooleanAlgebra", "Nat", "True", "MeasurableSet.disjointed", "eq_true", "Nat.instOrderBot", ...
false
Lean.KVMap._sizeOf_1
Lean.Data.KVMap
[ "instOfNatNat", "List", "instHAdd", "HAdd.hAdd", "Lean.instSizeOfName", "Lean.KVMap.rec", "Nat", "List._sizeOf_inst", "SizeOf.sizeOf", "instAddNat", "Lean.Name", "Lean.DataValue", "Lean.DataValue._sizeOf_inst", "Prod._sizeOf_inst", "Prod", "Lean.KVMap", "OfNat.ofNat" ]
false
AlgebraicGeometry.isIso_fromTildeΓ_of_presentation
Mathlib.AlgebraicGeometry.Modules.Tilde
[ "CategoryTheory.Limits.hasFiniteLimits_of_hasLimits", "CategoryTheory.Abelian.toPreadditive", "SheafOfModules.Presentation.isColimit._proof_1", "CategoryTheory.Limits.PreservesColimitsOfShape.preservesColimit", "Eq.mpr", "CategoryTheory.Category.assoc", "CategoryTheory.Functor.preimage", "CategoryTheo...
true
_private.Mathlib.Analysis.PSeries.0.NNReal.summable_schlomilch_iff._simp_1_5
Mathlib.Analysis.PSeries
[ "HMul.hMul", "CommSemiring.toSemiring", "Ne", "ENNReal.instCommSemiring", "ENNReal.mul_eq_top", "instDistribOfSemiring", "And", "Distrib.toMul", "ENNReal", "propext", "Zero.toOfNat0", "ENNReal.instTop", "Or", "ENNReal.instZero", "Top.top", "OfNat.ofNat", "Eq", "instHMul" ]
false
_private.Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real.0.RealRMK.range_cut_partition._simp_1_16
Mathlib.MeasureTheory.Integral.RieszMarkovKakutani.Real
[ "Set.mem_inter_iff", "Membership.mem", "Set.instInter", "Inter.inter", "And", "propext", "Eq", "Set.instMembership", "Set" ]
false
Diffeology.isPlot_id
Mathlib.Geometry.Diffeology.Basic
[ "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "Real", "PiLp.normedSpace", "fact_one_le_two_ennreal", "contDiff_id", "Real.denselyNormedField", "instTopENat", "Real.instRCLike", "Diffeology.IsPlot", "id", "AddMonoidWithOne.toNatCast", "Real.normedAddCommGroup", "...
true
MulAction.IsBlock.empty
Mathlib.GroupTheory.GroupAction.Blocks
[ "False", "instHSMul", "ChainCompletePartialOrder.instOfCompleteLattice", "MulAction.IsBlock", "CompleteBooleanAlgebra.toCompleteDistribLattice", "congrArg", "Set.smul_set_empty", "SMul", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "not_true_eq_false", "Ne", ...
true
CategoryTheory.SimplicialObject.Homotopy.whiskerRight._proof_6
Mathlib.AlgebraicTopology.SimplicialObject.Homotopy
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Fin.succ", "congrArg", "Quiver.Hom.op", "CategoryTheory.Functor.category", "SimplexCategory.δ", "Eq.mp", "id", "CategoryTheory.SimplicialObject.Homotopy.h", "instOfNatNat", "CategoryTheory.Functo...
false
MultilinearMap.domDomCongr_eq_iff
Mathlib.LinearAlgebra.Multilinear.Basic
[ "MultilinearMap.instAdd", "Equiv", "MultilinearMap", "AddCommMonoid", "Iff", "AddEquiv.apply_eq_iff_eq", "MultilinearMap.domDomCongr", "Semiring", "MultilinearMap.domDomCongrEquiv", "Module", "Eq" ]
true
Option.instDecidableEq._proof_3
Init.Data.Option.Basic
[ "False", "Option.noConfusion", "Option.some", "Option.none", "heq_of_eq", "Option.noConfusionType", "Eq", "rfl", "Option" ]
false
WithVal.instCommRing._proof_1
Mathlib.Topology.Algebra.Valued.WithVal
[ "LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero", "RingEquiv.toEquiv", "Semigroup.toMul", "CommRing", "Equiv.instEquivLike", "HMul.hMul", "Equiv.addGroupWithOne", "CommSemiring.toSemiring", "CommMonoid.mul_comm", "WithVal.instAdd", "AddGroupWithOne.toAddMonoidWithOne", "Equiv...
false
CategoryTheory.ShortComplex.instPreservesColimitsOfShapeπ₁
Mathlib.Algebra.Homology.ShortComplex.Limits
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.ShortComplex.instPreservesColimitπ₁", "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.ShortComplex", "CategoryTheory.Functor.comp", "CategoryTheory.Sh...
true
SimpleGraph.Colorable.mono
Mathlib.Combinatorics.SimpleGraph.Coloring.VertexColoring
[ "Fintype.card_fin", "congrArg", "SimpleGraph.recolorOfCardLE", "Fintype.card", "Nonempty.some", "LE.le", "instLENat", "Nonempty.intro", "Fin.fintype", "SimpleGraph.Coloring", "Function.Embedding", "SimpleGraph", "Nat", "congr", "True", "eq_true", "of_eq_true", "Function.instFunLike...
true
Topology.IsInducing.separatelyContinuousAdd
Mathlib.Topology.Algebra.Monoid
[ "Add.toVAddAddOpposite", "Homeomorph.isInducing", "Continuous", "instVAddOfAdd", "congrArg", "SeparatelyContinuousAdd.mk", "Continuous.comp", "Topology.IsInducing.comp", "Function.comp", "SeparatelyContinuousAdd", "AddOpposite", "AddOpposite.instAdd", "AddOpposite.instTopologicalSpaceAddOppo...
true
instMonoidUniformOnFun._proof_7
Mathlib.Topology.Algebra.UniformConvergence
[ "Pi.monoid._proof_2", "Monoid", "Semigroup.toMul", "HMul.hMul", "Monoid.toMulOneClass", "instMonoidUniformOnFun._aux_4", "Semigroup.mk", "Monoid.npow_succ._autoParam", "MulOne.toMul", "instOfNatNat", "instMonoidUniformOnFun._proof_1", "autoParam", "instHAdd", "MulOneClass.toMulOne", "HAd...
false
Lean.Firefox.ThreadWithMaps.funcMap._default
Lean.Util.Profiler
[ "id", "Std.HashMap", "instHashableNat", "Std.HashMap.instEmptyCollection", "instBEqOfDecidableEq", "Nat", "instDecidableEqNat", "EmptyCollection.emptyCollection" ]
false
CategoryTheory.Functor.rightUnitor._proof_4
Mathlib.CategoryTheory.Functor.Category
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "_privat...
false
_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Rii.mem_toArray._simp_1_2
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "Std.PRange.LawfulUpwardEnumerableLeast?", "Std.Rxi.instIteratorIteratorIdOfUpwardEnumerable", "Membership.mem", "Std.Rii.mem_toList", "List", "Std.Rxi.IsAlwaysFinite", "Std.Rii.toList", "List.instMembership", "Std.Rxi.Iterator.instFinite", "True", "eq_true", "...
false
NNRat.rawCast.eq_1
Mathlib.Tactic.NormNum.Result
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHDiv", "GroupWithZero.toDivInvMonoid", "NNRat.rawCast", "DivisionSemiring.toGroupWithZero", "HDiv.hDiv", "AddMonoidWithOne.toNatCast", "AddCommMonoidWithOne.toAddMonoidWithOne", "Nat.cast", "DivisionSemiring", "Nat", "DivInvMonoid.toDiv", "Divi...
true
Batteries.Random.MersenneTwister.Config.init
Batteries.Data.Random.MersenneTwister
[ "Array.mkEmpty", "Batteries.Random.MersenneTwister.Config.initSeed", "_private.Batteries.Data.Random.MersenneTwister.0.Batteries.Random.MersenneTwister.Config.init._proof_2", "BitVec", "Fin.mk", "Batteries.Random.MersenneTwister.State.mk", "instOfNatNat", "Batteries.Random.MersenneTwister.Config.zero_...
true
Nat.shiftRight_eq'
Init.Data.Nat.Bitwise.Basic
[ "Nat.shiftRight", "instHShiftRightOfShiftRight", "Nat.instShiftRight", "HShiftRight.hShiftRight", "Nat", "Eq", "rfl" ]
true
Std.Time.HourMarker.am
Std.Time.Time.HourMarker
[ "Std.Time.HourMarker", "Std.Time.HourMarker.am" ]
true
DomMulAct.stabilizerMulEquiv._proof_2
Mathlib.GroupTheory.Perm.DomMulAct
[ "Equiv.Perm.applyMulAction", "Eq.mpr", "DomMulAct", "Equiv.Perm.smul_def", "DomMulAct.comp_stabilizerEquiv_invFun", "instHSMul", "Equiv.instEquivLike", "DomMulAct.instMulActionForall", "congrArg", "Equiv.symm_apply_apply", "Membership.mem", "id", "Equiv", "Subtype", "DomMulAct.instSMulFo...
false
String.Slice.Pos.splits_copy_iff
Init.Data.String.Lemmas.Splits
[ "String.Pos.Splits", "String.Slice.Pos.splits_of_splits_copy", "String", "String.Slice.Pos.copy", "String.Slice", "String.Slice.copy", "Iff", "String.Slice.Pos.Splits.copy", "Iff.intro", "String.Slice.Pos", "String.Slice.Pos.Splits" ]
true
CategoryTheory.ComposableArrows.δ₀Functor_obj_map
Mathlib.CategoryTheory.ComposableArrows.Basic
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Fin.succ", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.ComposableArrows", "Preorder.smallCategory", "instOfNatNat", "CategoryTheory.Functor.map", "instHAdd", "Fin.instPartialOrder", "HAdd.hAdd", "Fin.s...
true
TwoP.swap_map
Mathlib.CategoryTheory.Category.TwoP
[ "TwoPointing.swap", "TwoP.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.InducedCategory.homMk", "TwoP.toBipointed", "Bipointed.hasForget", "TwoP", "Bipointed.X", "CategoryTheory.InducedCategory.instCategory", "Bipointed.HomS...
true
_private.Mathlib.Topology.UniformSpace.AbstractCompletion.0.AbstractCompletion.termι''
Mathlib.Topology.UniformSpace.AbstractCompletion
[ "Lean.Name.mkNum", "Lean.Name.mkStr", "instOfNatNat", "Lean.Name.anonymous", "Lean.ParserDescr", "Lean.ParserDescr.node", "Nat", "Lean.ParserDescr.symbol", "OfNat.ofNat" ]
true
Finset.vadd_nonempty_iff
Mathlib.Algebra.Group.Pointwise.Finset.Scalar
[ "Finset", "Finset.vadd", "VAdd", "HVAdd.hVAdd", "And", "Iff", "instHVAdd", "Finset.Nonempty", "Finset.image₂_nonempty_iff", "DecidableEq" ]
true
AntitoneOn.comp
Mathlib.Order.Monotone.Defs
[ "Preorder.toLE", "Function.comp", "Membership.mem", "LE.le", "MonotoneOn", "Set.MapsTo", "AntitoneOn", "Set.instMembership", "Preorder", "Set" ]
true
Lean.Elab.Tactic.RCases.RCasesPatt.clear.injEq
Lean.Elab.Tactic.RCases
[ "Lean.Elab.Tactic.RCases.RCasesPatt", "Lean.Elab.Tactic.RCases.RCasesPatt.clear", "Eq.propIntro", "Lean.Elab.Tactic.RCases.RCasesPatt.clear.inj", "Lean.Syntax", "Eq.ndrec", "Eq.refl", "Eq" ]
true
_private.Mathlib.MeasureTheory.Measure.Comap.0.MeasureTheory.Measure.ae_eq_image_of_ae_eq_comap._simp_1_2
Mathlib.MeasureTheory.Measure.Comap
[ "Set.mem_union", "Membership.mem", "Set.instUnion", "propext", "Or", "Union.union", "Eq", "Set.instMembership", "Set" ]
false
SimpleGraph.card_interedges_add_card_interedges_compl
Mathlib.Combinatorics.SimpleGraph.Density
[ "Iff.mpr", "Eq.mpr", "instDecidableNot", "HMul.hMul", "Finset.instUnion", "instDecidableEqProd", "Classical.not_not", "SProd.sprod", "congrArg", "Finset.card_product", "Compl.compl", "Finset", "SimpleGraph.Adj", "Iff.rfl", "DecidableRel", "SimpleGraph.Compl.adjDecidable", "Disjoint",...
true
IsLocalMaxOn.inf
Mathlib.Topology.Order.LocalExtr
[ "nhdsWithin", "PartialOrder.toPreorder", "IsMaxFilter.inf", "SemilatticeInf.toPartialOrder", "IsLocalMaxOn", "SemilatticeInf.toMin", "TopologicalSpace", "SemilatticeInf", "Min.min", "Set" ]
true
Set.LeftInvOn.left_prodMk
Mathlib.Data.Set.Function
[ "Set.LeftInvOn", "Prod.mk", "Prod.fst", "Prod", "Set" ]
true
CategoryTheory.Cat.leftUnitor_inv_toNatTrans
Mathlib.CategoryTheory.Category.Cat
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Cat.str", "CategoryTheory.Functor.id", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Cat.instQuiver", "CategoryTheory.Bicategory...
true
PadicInt.appr_spec
Mathlib.NumberTheory.Padics.RingHoms
[ "Int.instAddCommGroup", "CharP.cast_eq_zero", "NormedCommRing.toNormedRing", "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring", "Norm.norm", "Units.val", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "dvd_zero", "RingHom.instRingHomClass", "MulO...
true
_private.Mathlib.Topology.Instances.ENNReal.Lemmas.0.ENNReal.tendsto_toReal_iff._simp_1_1
Mathlib.Topology.Instances.ENNReal.Lemmas
[ "NNReal.instTopologicalSpace", "ENNReal.ofNNReal", "nhds", "NNReal", "ENNReal.tendsto_coe", "Filter.Tendsto", "ENNReal", "propext", "ENNReal.instTopologicalSpace", "Eq", "Filter" ]
false
SetLike.gsemiring._proof_4
Mathlib.Algebra.DirectSum.Internal
[ "SetLike", "HMul.hMul", "AddMonoid.toAddSemigroup", "SetLike.gMonoid", "Membership.mem", "Subtype", "GradedMonoid.GMonoid.toGMul", "AddSemigroup.toAdd", "GradedMonoid.GMonoid.mul_assoc", "AddMonoid", "Semiring.toMonoid", "SetLike.GradedMonoid", "GradedMonoid", "Semiring", "GradedMonoid.G...
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Add.0.PSigma.casesOn._arg_pusher
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Add
[ "PSigma.casesOn", "PSigma.mk", "Eq.refl", "PSigma", "Eq" ]
false
PNat.one_lt_of_lt
Mathlib.Data.PNat.Basic
[ "Preorder.toLT", "instLinearOrderPNat", "PartialOrder.toPreorder", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "instOfNatPNatOfNeZeroNat", "PNat.instIsBotOneClass", "instOfNatNat", "LT.lt.one_lt", "Nat.instNeZeroSucc", "Nat", "LT.lt", "OfNat.ofNat", "instOnePNat", "instD...
true
_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.instBEqComparisonResult.beq
Mathlib.Tactic.Linter.TextBased
[ "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.ComparisonResult.ctorIdx", "instBEqOfDecidableEq", "BEq.beq", "_private.Mathlib.Tactic.Linter.TextBased.0.Mathlib.Linter.TextBased.ComparisonResult", "Nat", "Bool", "instDecidableEqNat" ]
true