name
string
module
string
deps
list
allowCompletion
bool
FreeAddMagmaAssocQuotientEquiv.eq_1
Mathlib.Algebra.Free
[ "FreeAddMagmaAssocQuotientEquiv._proof_1", "FreeAddMagmaAssocQuotientEquiv", "Equiv.instEquivLike", "AddMagma.FreeAddSemigroup.lift", "AddMagma.FreeAddSemigroup", "AddHom", "FreeAddMagma.of", "Function.comp", "Equiv", "AddHom.funLike", "AddSemigroup.toAdd", "FreeAddMagma.toFreeAddSemigroup", ...
true
Std.Tactic.BVDecide.BVBinOp.mul.elim
Std.Tactic.BVDecide.Bitblast.BVExpr.Basic
[ "PULift.up", "Std.Tactic.BVDecide.BVBinOp", "Std.Tactic.BVDecide.BVBinOp.ctorElim", "Std.Tactic.BVDecide.BVBinOp.mul", "Std.Tactic.BVDecide.BVBinOp.ctorIdx", "Nat", "Eq.symm", "Eq" ]
false
_private.Lean.Meta.Transform.0.Lean.Meta.unfoldDeclsFrom.match_1
Lean.Meta.Transform
[ "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "Lean.ConstantInfo", "_private.Lean.Meta.Transform.0.Lean.Meta.zetaReduce._sparseCasesOn_1", "Option" ]
false
Lean.Elab.Command.State.traceState
Lean.Elab.Command
[ "Lean.TraceState", "Lean.Elab.Command.State" ]
true
Std.DTreeMap.Raw.contains_modify
Std.Data.DTreeMap.Raw.Lemmas
[ "Std.DTreeMap.Raw.modify", "Std.DTreeMap.Internal.Impl.contains_modify", "Ord.mk", "Ordering", "Std.TransCmp", "Std.DTreeMap.Raw.WF.out", "Std.LawfulEqCmp", "Std.DTreeMap.Raw.inner", "Std.DTreeMap.Raw.contains", "Bool", "Eq", "Std.DTreeMap.Raw.WF", "Std.DTreeMap.Raw" ]
true
IsGreatest.nnnorm_cfcₙ_nnreal._auto_5
Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric
[ "Lean.Syntax.node", "Array.push", "Lean.Syntax", "Array.empty", "Lean.SourceInfo.none", "Lean.Name.mkStr1", "Lean.Name.mkStr4", "Lean.mkAtom" ]
false
Bundle.Trivialization.restrictPreimage'._proof_7
Mathlib.Topology.FiberBundle.Trivialization
[ "Set.restrictPreimage", "Membership.mem", "Set.Elem", "TopologicalSpace", "Bundle.Pretrivialization.open_baseSet", "Set.preimage", "Bundle.Trivialization", "Bundle.Pretrivialization.restrictPreimage'", "Nonempty", "Bundle.Pretrivialization.baseSet", "IsOpen", "instTopologicalSpaceSubtype", "...
false
DFinsupp.sigmaCurryLEquiv_symm_apply
Mathlib.LinearAlgebra.DFinsupp
[ "LinearEquiv.symm", "Equiv.instEquivLike", "DFinsupp.sigmaCurryLEquiv", "AddMonoid.toAddZeroClass", "DFinsupp.sigmaCurryEquiv", "AddZeroClass.toAddZero", "Equiv", "Sigma.fst", "AddCommMonoid", "AddZero.toZero", "DFinsupp.instZero", "DFinsupp.addCommMonoid", "RingHomInvPair.ids", "LinearEqu...
true
Lean.ScopedEnvExtension.mk._flat_ctor
Lean.ScopedEnvExtension
[ "Lean.ScopedEnvExtension.StateStack", "Lean.ScopedEnvExtension.mk", "Lean.PersistentEnvExtension", "Lean.ScopedEnvExtension.Entry", "Lean.ScopedEnvExtension.Descr", "Lean.ScopedEnvExtension" ]
false
UInt8.toUInt32_toUInt16
Init.Data.UInt.Lemmas
[ "UInt8.toUInt32", "UInt8.toUInt16", "UInt32", "UInt8", "Eq", "rfl", "UInt16.toUInt32" ]
true
WeierstrassCurve.b₂_of_char_two
Mathlib.AlgebraicGeometry.EllipticCurve.Weierstrass
[ "Mathlib.Tactic.Ring.Common.mul_pf_left", "CharP.cast_eq_zero", "AddGroup.toSubtractionMonoid", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "NegZeroClass.toNeg", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "CommRing", "Mathlib.Tactic.LinearCombination.mul_...
true
_private.Mathlib.Topology.Compactness.Lindelof.0.IsLindelof.disjoint_nhdsSet_right._simp_1_1
Mathlib.Topology.Compactness.Lindelof
[ "PartialOrder.toPreorder", "Preorder.toLE", "Disjoint", "OrderBot", "PartialOrder", "disjoint_comm", "propext", "Eq" ]
false
_private.Mathlib.Algebra.Star.Unitary.0.Unitary.instNegSubtypeMemSubmonoidUnitary._simp_1
Mathlib.Algebra.Star.Unitary
[ "Monoid", "MulOne.toOne", "HMul.hMul", "Monoid.toMulOneClass", "unitary", "StarMul", "Membership.mem", "MulOne.toMul", "MulOneClass.toMulOne", "And", "StarMul.toInvolutiveStar", "propext", "One.toOfNat1", "Unitary.mem_iff", "InvolutiveStar.toStar", "Submonoid.instSetLike", "OfNat.ofN...
false
_private.Mathlib.Order.Monotone.Defs.0.AntitoneOn._proof_2
Mathlib.Order.Monotone.Defs
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "False", "Lean.Grind.not_not", "eq_false", "congrArg", "Classical.byContradiction", "Lean.Grind.eq_false_of_imp_eq_true", "Preorder.toLE", "Membership.mem", "Exists", "Eq.mp", "id", "Lean.Grind.eq_false_of_imp_eq_false", "...
false
Matrix.zero
Mathlib.LinearAlgebra.Matrix.Defs
[ "Matrix", "Matrix.zero._aux_1", "Zero.mk", "Zero" ]
true
CategoryTheory.Localization.Monoidal.functorCoreMonoidalOfComp._simp_4
Mathlib.CategoryTheory.Localization.Monoidal.Functor
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.map", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Functor.map_comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "Eq", "CategoryTheory.Functor.obj", "CategoryTheory.Cate...
false
_private.Mathlib.Geometry.Euclidean.Incenter.0.Affine.Triangle.sSameSide_affineSpan_pair_point_excenter_singleton._proof_1_1
Mathlib.Geometry.Euclidean.Incenter
[ "Lean.Grind.of_eq_eq_true", "Int.Linear.diseq_split_resolve", "Lean.Grind.eq_false_of_not_eq_true", "Set.ext", "Int.Linear.not_eq_norm_expr", "InnerProductSpace.toNormedSpace", "of_eq_false", "Lean.RArray.leaf", "Affine.Simplex.points", "False", "Real", "forall_not_of_not_exists", "Lean.Grin...
false
_private.Init.Data.Vector.Extract.0.Vector.extract_sub_one._proof_1
Init.Data.Vector.Extract
[ "Lean.Omega.LinearCombo.coordinate_eval_6", "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", "Lean.Omega.Int.ofNat_sub_sub", "HSub.hSub", ...
false
MeasurableEquiv.prodSumDistrib
Mathlib.MeasureTheory.MeasurableSpace.Embedding
[ "MeasurableEquiv.sumCongr", "Sum", "Sum.instMeasurableSpace", "MeasurableSpace", "MeasurableEquiv.trans", "MeasurableEquiv.sumProdDistrib", "MeasurableEquiv.prodComm", "Prod", "MeasurableEquiv", "Prod.instMeasurableSpace" ]
true
_private.Mathlib.NumberTheory.ArithmeticFunction.Moebius.0.ArithmeticFunction.moebius_ne_zero_iff_eq_or._proof_1_1
Mathlib.NumberTheory.ArithmeticFunction.Moebius
[ "Lean.Grind.of_eq_eq_true", "Lean.Grind.eq_false_of_not_eq_true", "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lean.Grind.not_not", "ArithmeticFunction.instFunLikeNat", "Lean.Grind.not_and", "eq_false", "Lean.Grind.iff_eq", "congrArg", "Lean.Gr...
false
CategoryTheory.Comonad.beckCoalgebraEqualizer._proof_1
Mathlib.CategoryTheory.Monad.Equalizer
[ "CategoryTheory.Comonad", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Comonad.Coalgebra.Hom.f", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.Limits.Fork", "CategoryTheory.Limits.Cone.pt", "congr_arg",...
false
EquivLike.surjective
Mathlib.Data.FunLike.Equiv
[ "EquivLike.right_inv", "EquivLike", "Function.RightInverse.surjective", "EquivLike.inv", "EquivLike.coe", "DFunLike.coe", "Function.Surjective", "EquivLike.toFunLike" ]
true
TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure
Mathlib.RingTheory.TwoSidedIdeal.Operations
[ "TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure_absorbing", "Eq.mpr", "Semigroup.toMul", "TwoSidedIdeal.span_mono", "HMul.hMul", "Ring.toNonAssocRing", "AddGroupWithOne.toAddGroup", "congrArg", "TwoSidedIdeal", "Set.univ", "TwoSidedIdeal.span", "mul_assoc", "AddGroupWithOne.toAddMonoidWi...
true
Polynomial.quotientSpanCXSubCAlgEquiv._proof_3
Mathlib.RingTheory.Polynomial.Quotient
[ "Polynomial.C", "CommRing", "CommSemiring.toSemiring", "HSub.hSub", "RingHom", "Set.instSingletonSet", "Insert.insert", "Ideal.IsTwoSided", "Polynomial", "Ideal.instIsTwoSided_1", "CommRing.toCommSemiring", "RingHom.instFunLike", "instHSub", "Set.instInsert", "Polynomial.semiring", "Po...
false
Set.Nonempty.intrinsicClosure
Mathlib.Analysis.Convex.Intrinsic
[ "Iff.mpr", "intrinsicClosure", "AddCommGroup.toAddCommMonoid", "AddCommGroup.toAddGroup", "AddCommGroup", "TopologicalSpace", "Set.Nonempty", "AddTorsor", "intrinsicClosure_nonempty", "Module", "Ring.toSemiring", "Ring", "Set" ]
true
Std.Rii.toList_eq_nil_iff
Init.Data.Range.Polymorphic.Lemmas
[ "_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Rii.toList_eq_nil_iff._simp_1_5", "Eq.mpr", "False", "_private.Init.Data.Range.Polymorphic.Lemmas.0.Std.Rxc.Iterator.toList_eq_match.match_1.splitter", "Std.Roi.toList", "eq_false", "Std.PRange.UpwardEnumerable", "congrArg", "Std.Rxc.Iterator.toList...
true
Lean.Grind.instModUInt32UintOfNatNat
Init.GrindInstances.ToInt
[ "UInt32.toNat", "instModUInt32", "Lean.Grind.ToInt.toInt", "congrArg", "Lean.Grind.ToInt.Mod.mk", "Nat.instMod", "Lean.Grind.IntInterval.uint", "instHMod", "UInt32.toNat_mod", "instOfNatNat", "Int", "Nat.cast", "Lean.Grind.ToInt.Mod", "HMod.hMod", "Lean.Grind.instToIntUInt32UintOfNatNat"...
true
VitaliFamily.measure_le_mul_of_subset_limRatioMeas_lt
Mathlib.MeasureTheory.Covering.Differentiation
[ "Eq.mpr", "ENNReal.instAdd", "le_refl", "False", "ENNReal.ofNNReal", "instHSMul", "Trans.trans", "MeasureTheory.Measure", "Preorder.toLT", "instHDiv", "HMul.hMul", "MeasureTheory.Measure.coe_nnreal_smul_apply", "IsScalarTower.right", "ENNReal.instAddCommMonoid", "instReflLe", "CommSemi...
true
AddAction.selfEquivSigmaOrbits
Mathlib.GroupTheory.GroupAction.Defs
[ "AddAction.orbit", "AddMonoid.toAddSemigroup", "AddAction.orbitRel.Quotient.orbit", "AddAction.selfEquivSigmaOrbits._proof_1", "Equiv.trans", "Equiv.setCongr", "AddAction.selfEquivSigmaOrbits'", "Set.Elem", "Equiv", "Quotient.out", "AddAction.orbitRel.Quotient", "AddAction", "AddAction.toAdd...
true
BoolRing.Iso.mk._proof_2
Mathlib.Algebra.Category.BoolRing
[ "BoolRing.carrier", "RingEquiv.apply_symm_apply", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CommSemiring.toSemiring", "RingEquiv.instEquivLike", "BoolRing.hom_ext", "RingEquiv.instRingEquivClass", "BoolRing.booleanRing", "BoolRing", "BooleanRing.toCommRing", "BoolRing.Hom.hom", ...
false
NNRat.coe_zpow._simp_1
Mathlib.Algebra.Field.Rat
[ "NNRat.coe_zpow", "Rat", "NNRat", "Int", "Rat.instPowInt", "HPow.hPow", "Rat.instNNRatCast", "NNRat.instZPow", "instHPow", "Eq.symm", "NNRat.cast", "Eq" ]
false
CategoryTheory.Lax.StrongTrans.app
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Bicategory.toCategoryStruct", "CategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct", "CategoryTheory.LaxFunctor.toPrelaxFunctor", "CategoryTheory.Bicategory", "CategoryTheory.Lax.StrongTrans", "CategoryTheory.PrelaxFunctorStruct.to...
true
PNat.Coprime.gcd_mul_right_cancel_right
Mathlib.Data.PNat.Prime
[ "PNat.Coprime", "PNat.gcd", "Eq.mpr", "HMul.hMul", "CommMonoid.toCommSemigroup", "congrArg", "id", "CommMagma.toMul", "instMulPNat", "instCommMonoidPNat", "CommSemigroup.toCommMagma", "mul_comm", "PNat.Coprime.gcd_mul_left_cancel_right", "Eq", "instHMul", "PNat" ]
true
Lean.Server.FileWorker.SignatureHelp.SearchControl.ctorElimType
Lean.Server.FileWorker.SignatureHelp
[ "cond", "Nat.ble", "Lean.Server.FileWorker.SignatureHelp.SearchControl.continue", "Lean.Server.FileWorker.SignatureHelp.SearchControl", "PULift", "Lean.Server.FileWorker.SignatureHelp.SearchControl.stop", "Nat" ]
false
Topology.RelCWComplex.Subcomplex._sizeOf_1
Mathlib.Topology.CWComplex.Classical.Basic
[ "Topology.RelCWComplex", "Topology.RelCWComplex.openCell", "instSizeOfDefault", "Membership.mem", "Set.instUnion", "Set.Elem", "instOfNatNat", "IsClosed", "TopologicalSpace", "instHAdd", "Topology.RelCWComplex.Subcomplex.rec", "HAdd.hAdd", "Topology.RelCWComplex.Subcomplex", "Nat", "Topo...
false
ENNReal.eq_of_forall_le_nnreal_iff
Mathlib.Data.ENNReal.Inv
[ "ENNReal.ofNNReal", "PartialOrder.toPreorder", "NNReal", "LE.le", "instNoTopOrderOfNoMaxOrder", "IsStrictOrderedRing.toNoMaxOrder", "NNReal.instPartialOrder", "Iff", "ENNReal.instLE", "ENNReal", "NNReal.instSemiring", "WithTop.eq_of_forall_le_coe_iff", "Eq", "NNReal.instIsStrictOrderedRing...
true
Set.preimage_mul_const_Ici_of_neg
Mathlib.Algebra.Order.Group.Pointwise.Interval
[ "Set.ext", "Preorder.toLT", "instHDiv", "HMul.hMul", "Set.Ici", "MulZeroClass.toMul", "LinearOrder", "PartialOrder.toPreorder", "IsStrictOrderedRing", "Preorder.toLE", "Field.toDivisionRing", "SemilatticeInf.toPartialOrder", "DivisionRing.toDivInvMonoid", "DistribLattice.toLattice", "HDi...
true
TrivSqZeroExt.nonAssocSemiring._proof_8
Mathlib.Algebra.TrivSqZeroExt.Basic
[ "NonAssocSemiring.toAddCommMonoidWithOne", "instHSMul", "TrivSqZeroExt", "HMul.hMul", "TrivSqZeroExt.ext", "DistribMulAction.toDistribSMul", "MulZeroClass.zero_mul", "AddMonoid.toAddZeroClass", "AddMonoid.toZero", "MulOpposite", "AddZeroClass.toAddZero", "TrivSqZeroExt.addMonoidWithOne", "Mu...
false
Finset.left_mem_Icc
Mathlib.Order.Interval.Finset.Basic
[ "congrArg", "Finset", "Preorder.toLE", "Membership.mem", "_private.Mathlib.Order.Interval.Finset.Basic.0.Finset.left_mem_Icc._simp_1_1", "LE.le", "Finset.Icc", "_private.Mathlib.Order.Interval.Finset.Basic.0.Finset.left_mem_Icc._simp_1_2", "iff_self", "And", "Iff", "Finset.instSetLike", "Tru...
true
MonadSaveCtx.mk._flat_ctor
ProofWidgets.Util
[ "outParam", "MonadSaveCtx.mk", "MonadSaveCtx" ]
false
_private.Lean.Meta.Tactic.Grind.ProveEq.0.Lean.Meta.Grind.AbstractM.State._sizeOf_inst
Lean.Meta.Tactic.Grind.ProveEq
[ "_private.Lean.Meta.Tactic.Grind.ProveEq.0.Lean.Meta.Grind.AbstractM.State", "SizeOf.mk", "_private.Lean.Meta.Tactic.Grind.ProveEq.0.Lean.Meta.Grind.AbstractM.State._sizeOf_1", "SizeOf" ]
false
CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfMonoidalOppositeLeftAction
Mathlib.CategoryTheory.Monoidal.Action.Opposites
[ "CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfMonoidalOppositeLeftAction._proof_2", "CategoryTheory.MonoidalCategory.MonoidalRightAction.mk", "CategoryTheory.MonoidalOpposite.mop", "CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeft", "CategoryTheory.MonoidalCategory....
true
Plausible.retry._f
Plausible.Testable
[ "Pure.pure", "ReaderT", "Monad.toApplicative", "String", "PSum", "Plausible.TestResult.failure", "ULift", "Plausible.TestResult", "ReaderT.instMonad", "instOfNatNat", "Applicative.toPure", "Except.instMonad", "Nat.below", "List", "_private.Plausible.Testable.0.Plausible.retry.match_3", ...
false
Mathlib.Tactic.runUse
Mathlib.Tactic.Use
[ "Pure.pure", "Lean.Core.instMonadTraceCoreM", "Lean.Elab.Tactic.instMonadExceptExceptionTacticM", "Functor.discard", "Lean.MessageData", "Lean.MVarId.withContext", "Lean.Elab.Term.instMonadMacroAdapterTermElabM", "Lean.Meta.isProp", "Bool.not", "Lean.instMonadMCtxOfMonadLift", "instForInOfForIn'...
true
MeasureTheory.MemLp.enorm_rpow
Mathlib.MeasureTheory.Function.LpSpace.Basic
[ "Eq.mpr", "Real", "DivInvMonoid.toInv", "MeasureTheory.Measure", "instHDiv", "HMul.hMul", "Monoid.toMulOneClass", "congrArg", "CommSemiring.toSemiring", "ENNReal.instPowReal", "HEq.refl", "Eq.casesOn", "id", "MulOne.toMul", "HDiv.hDiv", "DivInvMonoid.toMonoid", "Ne", "ENNReal.instC...
true
Mathlib.Tactic.BicategoryLike.MonadMor₂.mk
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "Mathlib.Tactic.BicategoryLike.Mor₂Iso", "Mathlib.Tactic.BicategoryLike.Mor₂", "Mathlib.Tactic.BicategoryLike.CoherenceHom", "Mathlib.Tactic.BicategoryLike.Atom", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.AtomIso", "Mathlib.Tactic.BicategoryLike.MonadMor₂", "Mathlib.Tactic.B...
true
Algebra.IsPushout.cancelBaseChangeAux._proof_6
Mathlib.RingTheory.IsTensorProduct
[ "IsScalarTower.to_smulCommClass'", "CommRing", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "Semiring.toModule", "IsScalarTower.right", "CommSemiring.toSemiring", "Algebra.IsPushout.cancelBaseChangeAux._proof_5", "Algebra", "Algebra.toModule", "Algebra.IsPushout.cancelBaseChangeAux._...
false
Equiv.trans_refl
Mathlib.Logic.Equiv.Defs
[ "Equiv.trans", "Equiv", "_private.Mathlib.Logic.Equiv.Defs.0.Equiv.trans_refl._proof_1_1", "Equiv.refl", "Eq" ]
true
CategoryTheory.Limits.MultispanIndex.inj_sndSigmaMapOfIsColimit
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.MultispanIndex.snd", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.Cofan", "congrArg", "CategoryTheory.Limits.MultispanShape", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.IsColimit", "Ca...
true
Rack.PreEnvelGroupRel'.trans.injEq
Mathlib.Algebra.Quandle
[ "Rack.PreEnvelGroupRel'.trans.inj", "Rack.PreEnvelGroupRel'.trans", "Rack.PreEnvelGroupRel'", "Eq.propIntro", "Rack", "Lean.injEq_helper", "HEq.homo_ndrec", "And", "Eq.ndrec", "Eq.refl", "HEq", "Eq", "Rack.PreEnvelGroup" ]
true
Lean.Elab.Tactic.BVDecide.Frontend.CounterExample.mk._flat_ctor
Lean.Elab.Tactic.BVDecide.Frontend.BVDecide
[ "Lean.Elab.Tactic.BVDecide.Frontend.CounterExample", "Lean.instBEqFVarId", "Std.HashSet", "Lean.Elab.Tactic.BVDecide.Frontend.CounterExample.mk", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Std.Tactic.BVDecide.BVExpr.PackedBitVec", "Array", "Lean.instHashableFVarId", "Prod" ]
false
CategoryTheory.Limits.IsLimit.mk
Mathlib.CategoryTheory.Limits.IsLimit
[ "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Limits.IsLimit.mk", "CategoryTheory.Limits.Cone", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.IsLimit.fac._autoParam", "CategoryTheory.Limits.Cone.pt", "a...
true
TopHom.mk.sizeOf_spec
Mathlib.Order.Hom.Bounded
[ "instSizeOfDefault", "TopHom._sizeOf_inst", "instOfNatNat", "instHAdd", "HAdd.hAdd", "Nat", "TopHom", "SizeOf.sizeOf", "instAddNat", "Eq.refl", "SizeOf", "Top.top", "OfNat.ofNat", "Eq", "Top", "TopHom.mk" ]
true
CochainComplex.HomComplex.Cocycle.diff
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "CochainComplex.HomComplex.Cochain.diff", "AddGroupWithOne.toAddMonoidWithOne", "AddCancelMonoid.toAddRightCancelMonoid", "CochainComplex.HomComplex.Cocycle.diff._proof_1", "CochainComplex.HomComplex.Cocycle.mk", "Int", "CategoryTheory.Preadditive", "AddMonoidWithOne.toOne", "instOfNat", "CochainC...
true
AlgebraicGeometry.Scheme.AffineZariskiSite.isColimitCocone._proof_2
Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski
[ "CategoryTheory.Functor.op", "CategoryTheory.Functor", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "AlgebraicGeometry.Scheme.AffineZariskiSite", "Opposite", "AlgebraicGeometry.Scheme.AffineZariskiSite.isColimitCocone._proof_1", "AlgebraicGeometry.Pr...
false
StateT.run_seqRight
Init.Control.Lawful.Instances
[ "StateT.run", "Monad.toApplicative", "id", "Unit", "eq_self", "of_eq_true", "Monad.toBind", "Bind.bind", "StateT.instMonad", "Applicative.toSeqRight", "StateT", "Prod", "Monad", "SeqRight.seqRight", "Eq", "Prod.snd" ]
true
UniqueFactorizationMonoid.radical
Mathlib.RingTheory.Radical.Basic
[ "CommMonoidWithZero.toCommMonoid", "NormalizationMonoid", "id", "UniqueFactorizationMonoid", "Finset.prod", "UniqueFactorizationMonoid.primeFactors", "CommMonoidWithZero" ]
true
AddSubgroup.fg_iff
Mathlib.GroupTheory.Finiteness
[ "congrArg", "Finset", "AddSubgroup.FG", "Set.Finite", "Exists", "_private.Mathlib.GroupTheory.Finiteness.0.AddSubgroup.fg_iff.match_1_3", "Set.Finite.coe_toFinset", "AddSubgroup", "_private.Mathlib.GroupTheory.Finiteness.0.AddSubgroup.fg_iff.match_1_1", "And", "AddGroup", "Iff", "SetLike.coe...
true
Mathlib.Tactic.Order.AtomicFact.ne.inj
Mathlib.Tactic.Order.CollectFacts
[ "Mathlib.Tactic.Order.AtomicFact.ne.noConfusion", "Mathlib.Tactic.Order.AtomicFact.ne", "Lean.Expr", "And", "Nat", "And.intro", "Mathlib.Tactic.Order.AtomicFact", "Eq" ]
true
ProbabilityTheory.charFunDual_map_add_prod_eq_mul
Mathlib.Probability.Independence.CharacteristicFunction
[ "ProbabilityTheory.indepFun_prod", "Eq.mpr", "ProbabilityTheory.IndepFun.charFunDual_map_fun_add_eq_mul", "Real", "MeasureTheory.Measure", "MeasureTheory.instSFiniteOfSigmaFinite", "HMul.hMul", "NormedSpace", "congrArg", "AddCommGroup.toAddCommMonoid", "measurable_id", "SecondCountableTopology...
true
Filter.map_map₂_antidistrib_left
Mathlib.Order.Filter.NAry
[ "Filter.map", "Filter.map₂", "Eq", "Filter.map_map₂_antidistrib", "Filter" ]
true
SSet.anodyneExtensions_eq_retracts_transfiniteCompositions
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Basic
[ "Eq.mpr", "CategoryTheory.MorphismProperty", "CategoryTheory.MorphismProperty.pushouts", "Opposite", "CategoryTheory.MorphismProperty.llp", "congrArg", "SSet.modelCategoryQuillen.J", "CategoryTheory.Functor.category", "CategoryTheory.MorphismProperty.llp_rlp_of_hasSmallObjectArgument", "SSet.instH...
true
Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk
Lean.PrettyPrinter.Delaborator.SubExpr
[ "Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk", "Nat", "Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator" ]
true
Filter.lift'_neBot_iff
Mathlib.Order.Filter.Lift
[ "Filter.instMembership", "Trans.trans", "congrArg", "Filter.NeBot", "PartialOrder.toPreorder", "Monotone", "Function.comp", "Membership.mem", "CompleteLattice.toConditionallyCompleteLattice", "Monotone.comp", "iff_self", "CompleteLattice.toCompleteSemilatticeInf", "CompleteSemilatticeInf.toP...
true
_private.Init.Data.Slice.List.Lemmas.0.List.toArray_mkSlice_roc._simp_1_1
Init.Data.Slice.List.Lemmas
[ "Std.Slice.toList", "Std.Iterators.Types.Take.instIterator", "Std.Slice.Internal.ListSliceData", "ListSlice.instToIterator", "Std.Iterators.Types.ListIterator", "Std.Slice.toArray", "Monad.toApplicative", "Std.Iterators.Types.Take", "Id", "Applicative.toPure", "List.toArray", "Array", "Std.I...
false
Topology.IsScott.isUpperSet_of_isOpen
Mathlib.Topology.Order.ScottTopology
[ "IsUpperSet", "Preorder.toLE", "Topology.scottHausdorff", "TopologicalSpace", "And", "And.left", "Topology.IsScott", "Iff.mp", "IsOpen", "Topology.IsScott.isOpen_iff_isUpperSet_and_scottHausdorff_open", "Preorder", "Set" ]
true
Pi.instMul
Mathlib.Algebra.Notation.Pi.Defs
[ "Mul.mk", "HMul.hMul", "Mul", "instHMul" ]
true
List.prefix_rfl
Init.Data.List.Sublist
[ "List", "List.IsPrefix", "List.prefix_refl" ]
true
Aesop.Frontend.Priority.noConfusion
Aesop.Frontend.RuleExpr
[ "Aesop.Frontend.Priority.noConfusionType", "Int", "Aesop.Frontend.Priority.casesOn", "Eq.ndrec", "Eq.refl", "Aesop.Frontend.Priority", "Aesop.Percent", "Eq" ]
false
Polynomial.coeff_modByMonic_mem_pow_natDegree_mul
Mathlib.Algebra.Polynomial.CoeffMem
[ "zero_le", "one_pow", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "SetLike.mem_coe._simp_1", "Submodule.instAddCommMonoidWithOne", "MulOne.toOne", "CommRing", "Submodule.mul_mem_mul", "IsOrderedRing.toPosMulMono", "HMul.hMul", "IsScalarTower.right", "Polynomial.Monic....
true
MDifferentiableWithinAt.sum
Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions
[ "MDifferentiableWithinAt.hasMFDerivWithinAt", "Pi.addCommMonoid", "chartedSpaceSelf", "NormedSpace", "AddCommGroup.toAddCommMonoid", "Finset", "instAddCommGroupTangentSpace", "NormedSpace.toModule", "mfderivWithin", "PseudoMetricSpace.toUniformSpace", "ContinuousLinearMap.addCommMonoid", "AddC...
true
WithIdealFilter.mem_nhds_iff
Mathlib.RingTheory.IdealFilter.Topology
[ "Filter.instMembership", "Iff.mpr", "AddGroupFilterBasis.nhds_hasBasis", "Semiring.toModule", "AddGroupFilterBasis.topology", "Filter.HasBasis.mem_iff", "instVAddOfAdd", "AddGroupWithOne.toAddGroup", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "WithIdealFilter.idealSet", "WithIdealF...
true
isBoundedBilinearMap_smul
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
[ "norm_smul_le", "Norm.norm", "IsBoundedBilinearMap.mk", "SeminormedAddGroup.toNorm", "Eq.mpr", "MulOne.toOne", "IsScalarTower.to_smulCommClass'", "le_refl", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "SeminormedAddCommGroup", "HMul.hMul", "smul_assoc", "FloorRing.toFloorS...
true
CategoryTheory.Limits.HasFiniteColimits.mk
Mathlib.CategoryTheory.Limits.Shapes.FiniteLimits
[ "CategoryTheory.Limits.HasColimitsOfShape", "CategoryTheory.SmallCategory", "CategoryTheory.FinCategory", "CategoryTheory.Limits.HasFiniteColimits.mk", "CategoryTheory.Limits.HasFiniteColimits", "CategoryTheory.Category" ]
true
_private.Mathlib.Analysis.Calculus.ContDiff.Basic.0.iteratedFDeriv_const_of_ne._simp_1_1
Mathlib.Analysis.Calculus.ContDiff.Basic
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "Set.univ", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "ContinuousMultilinearMap", "NormedField.toField", "iteratedFDerivWithin", "Field.toSemifield", "Semifield.toDivisionSemiring", "SeminormedAddCommGroup.toPseudoMetricSpace", "...
false
Dynamics.IsDynNetIn.monotone_subset
Mathlib.Dynamics.TopologicalEntropy.Subset
[ "ChainCompletePartialOrder.instOfCompleteLattice", "SetRel", "CompleteBooleanAlgebra.toCompleteDistribLattice", "Set.PairwiseDisjoint", "Dynamics.dynEntourage", "HasSubset.Subset.trans", "Set.instIsTransSubset", "HasSubset.Subset", "ChainCompletePartialOrder.toPartialOrder", "UniformSpace.ball", ...
true
AddSubgroup.mem_even
Mathlib.Algebra.Group.Subgroup.Even
[ "AddSubgroup.even", "Iff.rfl", "AddMonoid.toAddZeroClass", "AddCommGroup.toAddGroup", "Membership.mem", "AddZeroClass.toAddZero", "AddCommGroup", "AddSubgroup", "Iff", "AddGroup.toSubNegMonoid", "AddSubgroup.instSetLike", "Even", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "SetLike.inst...
true
Batteries.BinomialHeap.Imp.HeapNode.foldTreeM
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.HeapNode.foldTreeM._f", "Batteries.BinomialHeap.Imp.HeapNode", "Batteries.BinomialHeap.Imp.HeapNode.brecOn", "Monad" ]
true
Order.Ideal.PrimePair.disjoint
Mathlib.Order.PrimeIdeal
[ "CompleteBooleanAlgebra.toCompleteDistribLattice", "Preorder.toLE", "Disjoint", "Order.Ideal.PrimePair.F", "CompleteLattice.toConditionallyCompleteLattice", "Order.Ideal.PrimePair.isCompl_I_F", "Order.PFilter.instSetLike", "SetLike.coe", "Set.instBoundedOrder", "Order.Ideal.PrimePair", "Complete...
true
_private.Mathlib.Data.List.Chain.0.List.isChain_map._proof_1_2
Mathlib.Data.List.Chain
[ "False", "Lean.Grind.iff_eq", "List.map_cons", "congrArg", "List.map", "Classical.byContradiction", "Eq.mp", "id", "List.IsChain", "List.IsChain.singleton", "List.cons", "List", "Iff", "True", "eq_true", "Lean.Grind.intro_with_eq", "Eq.refl", "Lean.Grind.not_eq_of_eq_true", "Lean...
false
Std.Http.Header.Host.mk.inj
Std.Http.Data.Headers.Basic
[ "Std.Http.URI.Host", "Std.Http.Header.Host", "And", "Std.Http.Header.Host.mk.noConfusion", "And.intro", "Std.Http.Header.Host.mk", "Eq", "Std.Http.URI.Port" ]
true
String.Pos.Raw.instLinearOrderPackage._proof_4
Init.Data.String.OrderInstances
[ "inferInstance", "LE.le", "String.Pos.Raw", "Std.Total.total", "LE", "String.instLERaw", "Or", "String.Pos.Raw.instTotalLe" ]
false
Turing.ToPartrec.instDecidableEqCode.decEq._proof_32
Mathlib.Computability.TuringMachine.Config
[ "False", "Turing.ToPartrec.Code.ctorIdx", "False.elim", "noConfusion_of_Nat", "Turing.ToPartrec.Code.comp", "Eq", "Not", "Turing.ToPartrec.Code.cons", "Turing.ToPartrec.Code" ]
false
_private.Mathlib.Topology.Baire.Lemmas.0.IsGδ.baireSpace_of_dense._proof_1_3
Mathlib.Topology.Baire.Lemmas
[ "Lean.Grind.of_eq_eq_true", "Iff.mpr", "Lean.Grind.eq_false_of_not_eq_true", "False", "Lean.Grind.and_eq_of_eq_true_right", "Lean.Grind.not_not", "Lean.Grind.nestedProof", "Lean.Grind.not_and", "eq_false", "Lean.Grind.iff_eq", "Iff.of_eq", "congrArg", "Set.iInter", "Classical.byContradicti...
false
Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr.reorder
Lean.Meta.Tactic.Grind.Arith.Cutsat.ReorderVars
[ "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstrProof.reorder", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr", "Int.Linear.Var", "Array", "Int.Linear.Poly.reorder", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr.mk", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr.p", "Lean.Meta.Grind.Arith.Cutsat.DiseqCnstr.norm" ]
true
WittVector._sizeOf_1
Mathlib.RingTheory.WittVector.Defs
[ "instOfNatNat", "WittVector", "Nat", "SizeOf", "OfNat.ofNat", "WittVector.rec" ]
false
String.Legacy.instSizeOfIterator
Init.Data.String.Iterator
[ "HSub.hSub", "String.utf8ByteSize", "instSubNat", "String.Legacy.Iterator.s", "instHSub", "SizeOf.mk", "Nat", "String.Legacy.Iterator", "SizeOf", "String.Pos.Raw.byteIdx", "String.Legacy.Iterator.i" ]
true
instPreirreducibleSpaceOfSubsingleton
Mathlib.Topology.Irreducible
[ "Iff.mpr", "Set.subsingleton_univ_iff", "Set.univ", "PreirreducibleSpace.mk", "TopologicalSpace", "Set.Subsingleton", "Subsingleton", "Set.Subsingleton.isPreirreducible", "PreirreducibleSpace" ]
true
InfTopHom.dual.eq_1
Mathlib.Order.Hom.BoundedLattice
[ "Equiv.instEquivLike", "InfTopHom.dual._proof_2", "Equiv.mk", "Equiv", "InfTopHom.dual._proof_1", "InfHom", "Min", "OrderDual.instBotOfTop", "SupBotHom.toSupHom", "OrderDual.instMaxOfMin", "InfTopHom.mk", "SupBotHom", "InfTopHom.dual", "InfTopHom.map_top'", "InfTopHom.dual._proof_3", "...
true
CategoryTheory.Pseudofunctor.ObjectProperty.fullsubcategory._proof_4
Mathlib.CategoryTheory.Bicategory.Functor.Cat.ObjectProperty
[ "Eq.mpr", "CategoryTheory.Pseudofunctor.ObjectProperty.prop", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "CategoryTheory.ObjectProperty.ι", "CategoryTheory.Pseudofunctor.ObjectProperty.IsClosedUnderMapObj", "Categor...
false
Localization.recOnSubsingleton₂
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "Localization.mk", "Prod.rec", "Monoid.toMulOneClass", "Localization.recOnSubsingleton₂._proof_1", "Quotient.mk''", "Membership.mem", "Subtype", "Localization", "Prod.mk", "OreLocalization.oreSetComm", "CommMonoid.toMonoid", "Quotient.recOnSubsingleton₂'", "Monoid.toMulAction", "Subsinglet...
true
CategoryTheory.Limits.piConst._proof_4
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Category.assoc", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Limits.HasProducts", "Quiver.Hom.unop", "TypeCat.instFunLikeFun", "CategoryTheory.Discrete.functor", "CategoryTheory.CategoryStr...
false
mdifferentiableWithinAt_of_isInvertible_mfderivWithin
Mathlib.Geometry.Manifold.MFDeriv.Basic
[ "NormedSpace", "AddCommGroup.toAddCommMonoid", "instAddCommGroupTangentSpace", "ContinuousLinearMap.IsInvertible", "mfderivWithin", "NormedField.toField", "instModuleTangentSpace", "Field.toSemifield", "instTopologicalSpaceTangentSpace", "TopologicalSpace", "ModelWithCorners", "Semifield.toDiv...
true
List.nodup_ofFn_ofInjective
Mathlib.Data.List.FinRange
[ "Eq.mpr", "List.mem_range", "congrArg", "List.ofFn", "Membership.mem", "Fin.mk", "id", "List.range", "List.Nodup", "List.pmap", "List", "List.instMembership", "List.Nodup.pmap", "List.nodup_range", "Nat", "LT.lt", "Iff.mp", "Function.Injective", "instLTNat", "Fin.val_eq_of_eq",...
true
HNNExtension.NormalWord.cons.eq_1
Mathlib.GroupTheory.HNNExtension
[ "List.head?", "HNNExtension.NormalWord", "HNNExtension.NormalWord.ReducedWord.toList", "HNNExtension.NormalWord.mk", "Option.instMembership", "Group", "Membership.mem", "Units", "Prod.mk", "Subgroup", "HNNExtension.NormalWord.TransversalPair.set", "Int", "Prod.fst", "List.cons", "Int.ins...
true
Lean.Elab.Structural.addSmartUnfoldingDef
Lean.Elab.PreDefinition.Structural.SmartUnfolding
[ "Pure.pure", "Unit.unit", "Lean.Meta.isProp", "Lean.Elab.addNonRec", "Lean.Elab.Term.instMonadTermElabM", "ReaderT", "Lean.Meta.State", "Lean.Elab.withEnableInfoTree", "instMonadLiftT", "Lean.Elab.PreDefinition", "Lean.Meta.MetaM", "IO.RealWorld", "instMonadFinallyStateRefT'", "EIO", "in...
true
_private.Mathlib.Algebra.Polynomial.Bivariate.0.Polynomial.Bivariate.pderiv_one_equivMvPolynomial._simp_1_3
Mathlib.Algebra.Polynomial.Bivariate
[ "Polynomial.C", "Semiring.toModule", "HMul.hMul", "LinearMap.instFunLike", "Polynomial.C_mul_X_pow_eq_monomial", "RingHom", "Polynomial.monomial", "LinearMap", "Polynomial", "Monoid.toPow", "RingHom.instFunLike", "HPow.hPow", "Polynomial.semiring", "Nat", "Semiring.toMonoid", "Semiring...
false
CategoryTheory.MonoidalOpposite.tensorIso_hom_app_unmop
Mathlib.CategoryTheory.Monoidal.Opposite
[ "CategoryTheory.Functor", "CategoryTheory.unmopFunctor", "CategoryTheory.MonoidalOpposite.unmop", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.MonoidalOpposite", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Functor.category", "CategoryTheory.mopFunctor", "CategoryT...
true
Turing.TM1.eval
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Part", "Turing.TM1.init", "Turing.TM1.step", "Turing.TM1.Cfg", "Turing.Tape.right₀", "List", "Turing.TM1.Cfg.Tape", "Turing.ListBlank", "Inhabited", "StateTransition.eval", "Turing.TM1.Stmt", "Part.map" ]
true
Std.Ric.size_eq_match_rcc
Init.Data.Range.Polymorphic.Lemmas
[ "Std.PRange.UpwardEnumerable", "congrArg", "Std.Rxc.Iterator.toList_eq_match.match_1", "Std.Rxc.HasSize", "Option.some", "Std.Rxc.LawfulHasSize", "id", "instOfNatNat", "LE", "Std.Ric", "Option.none", "DecidableLE", "Unit", "Std.Ric.size", "Std.Rcc.size", "Std.Rxc.IsAlwaysFinite", "Na...
true