name
stringlengths
2
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module
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6
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bool
2 classes
_private.Mathlib.Algebra.Homology.HomotopyCategory.HomComplex.0.CochainComplex.HomComplex.Cochain.δ_single._proof_1_5
Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
[ "Int.Linear.eq_of_core", "Lean.RArray.leaf", "False", "HMul.hMul", "congrArg", "Classical.byContradiction", "Eq.mp", "Lean.RArray.branch", "Int.Linear.Expr.add", "id", "Lean.RArray", "Int.instNegInt", "instOfNatNat", "Int", "Int.Linear.Poly.num", "Int.instMul", "Int.Linear.Poly.add",...
false
UInt32.rec._@.Mathlib.Util.CompileInductive.3197476844._hygCtx._hyg.393
Mathlib.Util.CompileInductive
[ "UInt32.toBitVec", "BitVec", "instOfNatNat", "UInt32.ofBitVec", "Nat", "UInt32", "OfNat.ofNat" ]
false
continuousOn_pi'
Mathlib.Topology.ContinuousOn
[ "Iff.mpr", "Pi.topologicalSpace", "TopologicalSpace", "ContinuousOn", "continuousOn_pi", "Set" ]
true
Mathlib.Meta.FunProp.instReprLambdaTheoremArgs.repr
Mathlib.Tactic.FunProp.Theorems
[ "Std.Format.instAppend", "Std.Format.line", "Std.Format.group", "GE.ge", "instOfNatNat", "Int", "instLENat", "_private.Mathlib.Tactic.FunProp.Theorems.0.Mathlib.Meta.FunProp.instReprLambdaTheoremArgs.repr.match_1", "instHAppendOfAppend", "Unit", "instOfNat", "Nat", "Std.Format", "Repr.addA...
true
IsApproximateAddSubgroup.image
Mathlib.Combinatorics.Additive.ApproximateSubgroup
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "Real.partialOrder", "Real.instLE", "Real", "instHSMul", "Trans.trans", "AddMonoid.toAddSemigroup", "Real.instZeroLEOneClass", "congrArg", "Finset", "Set.image_mono", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", ...
true
Std.DTreeMap.Internal.Impl.getKey_maxKey!
Std.Data.DTreeMap.Internal.Lemmas
[ "Eq.mpr", "Ord", "Std.DTreeMap.Internal.Impl.getKey_eq_getKey", "Std.instLawfulBEqOrd", "congrArg", "Std.DTreeMap.Internal.Impl.contains_eq_containsKey", "Std.DTreeMap.Internal.Impl.getKey", "beqOfOrd", "Std.DTreeMap.Internal.Impl.Ordered.distinctKeys", "Std.TransOrd", "Std.DTreeMap.Internal.Imp...
true
USize.toBitVec_add
Init.Data.UInt.Lemmas
[ "BitVec.instAdd", "BitVec", "System.Platform.numBits", "USize.toBitVec", "instHAdd", "HAdd.hAdd", "instAddUSize", "Eq", "rfl", "USize" ]
true
CategoryTheory.instMonoidalSkeletonInverseSkeletonEquivalence._proof_16
Mathlib.CategoryTheory.Monoidal.Skeleton
[ "CategoryTheory.Equivalence.inverseMonoidal._proof_2", "CategoryTheory.Monoidal.Transported.instMonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Equivalence.inverseMonoidal._...
false
CategoryTheory.Limits.colimitCoconeOfCoequalizerAndCoproduct._proof_3
Mathlib.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
[ "CategoryTheory.Functor", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Discrete.functor", "CategoryTheory.Limits.walkingParallelPairHomCategory", "CategoryTheory.SmallCategor...
false
Std.Time.Week.Offset.toSeconds
Std.Time.Date.Unit.Week
[ "Rat.instOfNat", "Int.cast", "Rat.instMul", "instHDiv", "HMul.hMul", "Rat", "Rat.instIntCast", "HDiv.hDiv", "Std.Time.Second.Offset", "Int", "instOfNat", "_private.Std.Time.Date.Unit.Week.0.Std.Time.Week.Offset.toSeconds._proof_1", "OfNat.ofNat", "Std.Time.Internal.UnitVal.cast", "Std.Ti...
true
SymbolicDynamics.FullShift.mulFullShift
Mathlib.Dynamics.SymbolicDynamics.Basic
[ "Monoid", "SymbolicDynamics.FullShift.mulFullShift._proof_1", "trivial", "SymbolicDynamics.FullShift.MulSubshift.mk", "Set.univ", "Membership.mem", "TopologicalSpace", "SymbolicDynamics.FullShift.MulSubshift", "Set.instMembership", "Set" ]
true
Int.addLeft_one_isCycle
Mathlib.GroupTheory.Perm.Cycle.Basic
[ "Equiv.zsmul_addLeft", "instHSMul", "Equiv.instEquivLike", "Int.instNeZeroOfNatOfNat", "congrArg", "AddMonoid.toAddZeroClass", "AddGroupWithOne.toAddMonoidWithOne", "DivInvMonoid.toZPow", "Equiv.Perm.SameCycle", "Ne", "instOfNatNat", "Int", "Int.instAddMonoid", "MulZeroOneClass.toMulOneCla...
true
Quiver.Path.nil_ne_cons
Mathlib.Combinatorics.Quiver.Path
[ "False", "Quiver.Hom", "Quiver.Path.nil", "False.elim", "noConfusion_of_Nat", "Ne", "Quiver.Path", "Quiver.Path.ctorIdx", "Quiver.Path.cons", "Quiver", "Eq" ]
true
_private.Mathlib.Analysis.Analytic.Basic.0.hasFPowerSeriesAt_iff._simp_1_9
Mathlib.Analysis.Analytic.Basic
[ "and_imp", "And", "propext", "Eq" ]
false
CompleteLinearOrder.himp_bot
Mathlib.Order.CompleteLattice.Defs
[ "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "Compl.compl", "OrderBot.toBot", "PartialOrder.toPreorder", "Preorder.toLE", "CompleteLattice.toBoundedOrder", "Bot.bot", "BoundedOrder.toOrderBot", "CompleteLinearOrder", "SemilatticeSup.toPartialOrder", "Eq", "CompleteLinearOrder.toC...
true
NonemptyFinLinOrd.dual._proof_1
Mathlib.Order.Category.NonemptyFinLinOrd
[ "NonemptyFinLinOrd.of", "OrderDual.instNonempty", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "NonemptyFinLinOrd.ofHom", "LinOrd.carrier", "SemilatticeInf.toPartialOrder", "CategoryTheory.CategoryStruct.id", "LinOrd.str", "DistribLa...
false
NFA.evalFrom_iUnion
Mathlib.Computability.NFA
[ "NFA.step", "Iff.of_eq", "congrArg", "NFA.evalFrom", "NFA", "Set.mem_iUnion._simp_1", "Membership.mem", "Exists", "List.rec", "List.cons", "funext", "List", "Set.iUnion_comm", "NFA.stepSet", "True", "eq_self", "Set.iUnion_exists", "of_eq_true", "Eq.refl", "congrFun'", "Set.iU...
true
PresentedAddMonoid.lift.eq_1
Mathlib.Algebra.PresentedMonoid.Basic
[ "Equiv.instEquivLike", "addConGen", "PresentedAddMonoid.lift._proof_2", "AddCon.lift", "AddMonoid.toAddZeroClass", "FreeAddMonoid.instAddCancelMonoid", "AddCancelMonoid.toAddRightCancelMonoid", "AddZeroClass.toAddZero", "Equiv", "PresentedAddMonoid", "FreeAddMonoid.lift", "AddRightCancelMonoid...
true
Submodule.sInf_orthogonal
Mathlib.Analysis.InnerProductSpace.Orthogonal
[ "InnerProductSpace.toNormedSpace", "Submodule", "iInf", "iSup", "AddCommGroup.toAddCommMonoid", "Submodule.completeLattice", "NormedSpace.toModule", "Membership.mem", "NormedField.toField", "CompleteLattice.toConditionallyCompleteLattice", "GaloisConnection.l_sSup", "Submodule.orthogonal_gc", ...
true
USize.instIsAlwaysFinite_1
Init.Data.Range.Polymorphic.UInt
[ "USize.instHasSize_1", "inferInstance", "USize.instUpwardEnumerable", "USize.instLawfulUpwardEnumerable", "Std.Rxo.IsAlwaysFinite", "USize.instLawfulHasSize_1", "instLTUSize", "Std.Rxo.instIsAlwaysFiniteOfLawfulHasSize", "USize" ]
true
CategoryTheory.Functor.IsRepresentedBy.representableBy_homEquiv_apply
Mathlib.CategoryTheory.RepresentedBy
[ "CategoryTheory.Functor", "Opposite", "Equiv.instEquivLike", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.ConcreteCategory.hom", "Quiver.Hom.op", "TypeCat.instFunLikeFun", "CategoryTheory.Functor.IsRepresentedBy", "Equiv", "CategoryTheory.Functor.map", "CategoryTheor...
true
_private.Mathlib.LinearAlgebra.QuadraticForm.Dual.0.LinearMap.BilinForm.linearIndependent_of_pairwise_le_zero._proof_1_3
Mathlib.LinearAlgebra.QuadraticForm.Dual
[ "NegZeroClass.toNeg", "False", "Lean.Grind.and_eq_of_eq_true_right", "CommRing", "Preorder.toLT", "eq_false", "Finset.instUnion", "Lean.Grind.iff_eq", "CommSemiring.toSemiring", "Finset", "LinearOrder", "Classical.byContradiction", "PartialOrder.toPreorder", "Classical.propDecidable", "M...
false
Bialgebra.TensorProduct.rid_tmul
Mathlib.RingTheory.Bialgebra.TensorProduct
[ "Coalgebra.toCoalgebraStruct", "instHSMul", "CommSemiring.toBialgebra", "Semiring.toModule", "Bialgebra.toCoalgebra", "CommSemiring.toSemiring", "IsScalarTower", "BialgEquiv", "Algebra", "Algebra.toSMul", "Bialgebra.TensorProduct.rid", "Algebra.toModule", "Algebra.id", "BialgEquiv.instFunL...
true
Lean.Meta.Grind.AC.EqCnstrProof.erase_dup.noConfusion
Lean.Meta.Tactic.Grind.AC.Types
[ "Lean.Meta.Grind.AC.EqCnstr", "Lean.Meta.Grind.AC.EqCnstrProof.erase_dup", "Lean.Meta.Grind.AC.EqCnstrProof.noConfusion", "id", "Lean.Meta.Grind.AC.EqCnstrProof", "Eq" ]
false
AddSubgroup.coe_add._simp_1
Mathlib.Algebra.Group.Subgroup.Defs
[ "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "AddSubgroup", "AddSubgroup.coe_add", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "AddSubgroup.instSetLike", "AddZero.toAdd", "SubNegMonoid.toAddMonoid", "Eq.symm", "Subtype.val", "Eq...
false
Units.exists0
Mathlib.Algebra.GroupWithZero.Units.Basic
[ "Units.val", "GroupWithZero.toMonoidWithZero", "GroupWithZero", "Exists", "Units", "Eq.rec", "Units.ne_zero", "Ne", "Units.mk0", "Iff", "MonoidWithZero.toMulZeroOneClass", "Iff.intro", "Exists.intro", "Zero.toOfNat0", "MulZeroOneClass.toMulZeroClass", "_private.Mathlib.Algebra.GroupWit...
true
ByteArray.validateUTF8_eq_true_iff._simp_1
Init.Data.String.Basic
[ "ByteArray.validateUTF8_eq_true_iff", "Bool.true", "propext", "Bool", "ByteArray.validateUTF8", "ByteArray", "Eq", "ByteArray.IsValidUTF8" ]
false
Std.IterM.toIter
Init.Data.Iterators.Basic
[ "Id", "Std.IterM.internalState", "Std.Iter.mk", "Std.Iter", "Std.IterM" ]
true
Submonoid.coe_equivMapOfInjective_apply
Mathlib.Algebra.Group.Submonoid.Operations
[ "MonoidHom.instMonoidHomClass", "MulEquiv.instEquivLike", "MonoidHom.instFunLike", "Submonoid.mul", "MonoidHom", "Membership.mem", "Subtype", "Submonoid.map", "MulOneClass.toMulOne", "Submonoid.equivMapOfInjective", "MulEquiv", "Submonoid.instSetLike", "Function.Injective", "MulOneClass", ...
true
Measurable.untopD
Mathlib.MeasureTheory.Constructions.BorelSpace.WithTop
[ "OrderTopology", "Measurable.comp", "LinearOrder", "PartialOrder.toPreorder", "Measurable", "WithTop.instMeasurableSpace", "SemilatticeInf.toPartialOrder", "BorelSpace", "DistribLattice.toLattice", "MeasurableSpace", "TopologicalSpace", "WithTop.untopD", "WithTop.measurable_untopD", "instD...
true
Lean.Elab.elabSimprocKeys
Lean.Elab.Tactic.Simproc
[ "Lean.Meta.SimpTheoremKey", "Lean.Meta.withSimpGlobalConfig", "Lean.Syntax", "Lean.Expr", "Lean.Meta.MetaM", "Lean.Elab.elabSimprocPattern", "Array", "Lean.Meta.instMonadMetaM", "Lean.Meta.DiscrTree.mkPath", "Monad.toBind", "Bind.bind", "Bool.false" ]
true
UniformSpace.Completion.instNormedRing._proof_9
Mathlib.Analysis.Normed.Module.Completion
[ "Semiring.toNatCast", "AddMonoid.toZero", "PseudoMetricSpace.toUniformSpace", "SeminormedRing.toRing", "inferInstance", "instOfNatNat", "NatCast.natCast", "UniformSpace.Completion.ring", "Nat", "UniformSpace.Completion.instNormedRing._proof_1", "Zero.toOfNat0", "AddCommMonoid.toAddMonoid", "...
false
Lean.Elab.Term.SyntheticMVarKind.typeClass.noConfusion
Lean.Elab.Term.TermElabM
[ "Lean.MessageData", "id", "Lean.Elab.Term.SyntheticMVarKind", "Lean.Elab.Term.SyntheticMVarKind.noConfusion", "Lean.Elab.Term.SyntheticMVarKind.typeClass", "Eq", "Option" ]
false
add_left_surjective
Mathlib.Algebra.Group.Basic
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "add_neg_cancel_left", "AddMonoid.toAddZeroClass", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "SubNegZeroMonoid.toNegZeroClass", "instHAdd", "AddGroup", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "Exists.intro", "AddZe...
true
StarRingEquiv.coe_refl
Mathlib.Algebra.Star.StarRingHom
[ "Mul", "id", "StarRingEquiv.refl", "StarRingEquiv.instFunLike", "Star", "Eq", "DFunLike.coe", "StarRingEquiv", "Add", "rfl" ]
true
_private.Mathlib.Order.Atoms.0.IsSimpleOrder.equivBool._simp_1
Mathlib.Order.Atoms
[ "False", "eq_false", "OrderBot.toBot", "IsSimpleOrder", "IsSimpleOrder.bot_ne_top", "Bot.bot", "LE", "OrderTop.toTop", "BoundedOrder.toOrderTop", "BoundedOrder.toOrderBot", "Top.top", "BoundedOrder", "Eq" ]
false
Int.sign_sign
Init.Data.Int.Order
[ "_private.Init.Data.Int.Order.0.Int.sign_sign.match_1_1", "Int.sign", "Int.ofNat", "instOfNatNat", "Int", "instHAdd", "Unit", "instOfNat", "HAdd.hAdd", "Nat", "instAddNat", "Eq.refl", "Int.negSucc", "OfNat.ofNat", "Eq" ]
true
Std.DTreeMap.Internal.Unit.RocSliceData._sizeOf_1
Std.Data.DTreeMap.Internal.Zipper
[ "Std.DTreeMap.Internal.Unit.RocSliceData.rec", "Ord", "instOfNatNat", "instHAdd", "Unit", "Std.DTreeMap.Internal.Impl._sizeOf_inst", "HAdd.hAdd", "Nat", "SizeOf.sizeOf", "instAddNat", "Std.Roc._sizeOf_inst", "SizeOf", "Std.DTreeMap.Internal.Unit.RocSliceData", "OfNat.ofNat", "Std.DTreeMa...
false
CommRingCat.commRingObj._proof_46
Mathlib.Algebra.Category.Ring.Limits
[ "AddGroupWithOne.intCast_negSucc._autoParam", "Semiring.toNatCast", "CategoryTheory.Functor", "CommRingCat.commRingObj._aux_32", "CommRingCat.commRingObj._proof_26", "CommRingCat.commRingObj._proof_10", "CommRingCat.commRingObj._proof_15", "CommRingCat.carrier", "CommRingCat.commRingObj._proof_7", ...
false
_private.Mathlib.RingTheory.Nilpotent.Exp.0.IsNilpotent.map_exp._simp_1_1
Mathlib.RingTheory.Nilpotent.Exp
[ "Monoid", "Monoid.toMulOneClass", "map_pow", "Monoid.toPow", "MulOneClass.toMulOne", "HPow.hPow", "Nat", "MonoidHomClass", "instHPow", "Eq.symm", "Eq", "DFunLike.coe", "FunLike" ]
false
_private.Init.Data.Range.Polymorphic.Internal.SignedBitVec.0.BitVec.Signed.intMaxSealed_eq_intMinSealed_add._simp_1_5
Init.Data.Range.Polymorphic.Internal.SignedBitVec
[ "HMul.hMul", "Exists", "Nat.instMod", "instHMod", "instMulNat", "instHAdd", "HMod.hMod", "HAdd.hAdd", "Nat", "propext", "instAddNat", "Nat.mod_eq_mod_iff", "Eq", "instHMul" ]
false
Lean.Compiler.LCNF.AlphaEqv.eqvType._f
Lean.Compiler.LCNF.AlphaEqv
[ "Pure.pure", "Lean.FVarIdMap", "Lean.Expr.instBEq", "ReaderT.instMonad", "Lean.Expr", "Lean.FVarId", "Lean.Expr.fvar", "Id", "Applicative.toPure", "Lean.Compiler.LCNF.AlphaEqv.EqvM", "Lean.Expr.forallE", "andM", "instToBoolBool", "BEq.beq", "Lean.Compiler.LCNF.AlphaEqv.eqvFVar", "Bool"...
false
Lean.Meta.Match.AltLHS.mk
Lean.Meta.Match.Basic
[ "Lean.Meta.Match.AltLHS", "Lean.Syntax", "List", "Lean.Meta.Match.Pattern", "Lean.LocalDecl", "Lean.Meta.Match.AltLHS.mk" ]
true
Bimod.one_actLeft
Mathlib.CategoryTheory.Monoidal.Bimod
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.leftUnitor", "Bimod.X", "CategoryTheory.MonoidalCategoryStruct.whiskerRight", "CategoryTheory.MonObj.one", "CategoryTheory.Mon", "Bimod.actLeft", "CategoryTheory.Mon.X"...
true
_private.Lean.Meta.Sym.Pattern.0.Lean.Meta.Sym.isDefEqMainImpl._sparseCasesOn_4
Lean.Meta.Sym.Pattern
[ "Nat.ne_of_beq_eq_false", "Lean.Expr.const", "Lean.Expr.letE", "Lean.Expr.mvar", "Nat.shiftRight", "Lean.MVarId", "Lean.Expr", "Lean.FVarId", "Nat.hasNotBit", "instOfNatNat", "Lean.Expr.sort", "Lean.Expr.bvar", "Lean.Level", "Lean.Literal", "Lean.Expr.mdata", "Lean.Expr.fvar", "Lean....
false
ULift.divisionSemiring
Mathlib.Algebra.Field.ULift
[ "ULift.divisionSemiring._proof_6", "GroupWithZero.zpow", "ULift.divisionSemiring._proof_9", "ULift.divisionSemiring._proof_5", "GroupWithZero.toInv", "ULift.semiring", "ULift", "DivisionSemiring.toGroupWithZero", "ULift.divisionSemiring._proof_4", "DivisionSemiring.nnqsmul", "GroupWithZero.toDiv...
true
CategoryTheory.PreGaloisCategory.FiberFunctor.instFaithfulFintypeCat
Mathlib.CategoryTheory.Galois.Basic
[ "CategoryTheory.Limits.equalizer.ι_of_eq", "Eq.mpr", "CategoryTheory.PreGaloisCategory", "CategoryTheory.Limits.equalizerComparison_comp_π", "CategoryTheory.Functor", "CategoryTheory.IsIso", "CategoryTheory.PreGaloisCategory.FiberFunctor.reflectsIsos", "CategoryTheory.isIso_of_reflects_iso", "Catego...
true
Matrix.one_kroneckerTMul_one
Mathlib.LinearAlgebra.Matrix.Kronecker
[ "instDecidableEqProd", "AddCommMonoidWithOne.toAddCommMonoid", "Algebra.TensorProduct.instOneTensorProduct", "CommSemiring.toSemiring", "Matrix", "AddMonoid.toAddZeroClass", "AddCommMonoidWithOne", "Matrix.kroneckerMap_one_one", "AddZeroClass.toAddZero", "TensorProduct.tmul_zero", "AddCommMonoid...
true
ArithmeticFunction.ppow_zero
Mathlib.NumberTheory.ArithmeticFunction.Zeta
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Nat.instMulZeroClass", "ArithmeticFunction.instFunLikeNat", "congrArg", "ArithmeticFunction.ppow._proof_1", "ArithmeticFunction.zeta", "ArithmeticFunction.natToArithmeticFunction", "dif_pos", "id", "instOfNatNat", "AddCommMonoidWithOne.toAd...
true
_private.Lean.Elab.App.0.Lean.Elab.Term.ElabAppArgs.isNextOutParamOfLocalInstanceAndResult.hasLocalInstanceWithOutParams.match_4
Lean.Elab.App
[ "Lean.Expr", "Nat.hasNotBit", "Lean.Expr.forallE", "_private.Lean.Elab.App.0.Lean.Elab.Term.ElabAppArgs.getForallBody._sparseCasesOn_3", "Lean.Name", "Lean.BinderInfo", "Lean.Expr.ctorIdx" ]
false
coe_powMonoidWithZeroHom
Mathlib.Algebra.GroupWithZero.Hom
[ "powMonoidWithZeroHom", "MonoidWithZeroHom.funLike", "Ne", "instOfNatNat", "CommMonoidWithZero.toMonoidWithZero", "Monoid.toPow", "MonoidWithZeroHom", "MonoidWithZero.toMulZeroOneClass", "HPow.hPow", "CommMonoidWithZero", "Nat", "instHPow", "OfNat.ofNat", "Eq", "DFunLike.coe", "MonoidW...
true
mfderiv.eq_1
Mathlib.Geometry.Manifold.MFDeriv.Basic
[ "mfderiv", "extChartAt", "NormedSpace", "AddCommGroup.toAddCommMonoid", "instAddCommGroupTangentSpace", "NormedSpace.toModule", "PseudoMetricSpace.toUniformSpace", "MDifferentiableAt", "Classical.propDecidable", "NormedField.toField", "instModuleTangentSpace", "ContinuousLinearMap.zero", "Mo...
true
Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.clearRatUnits
Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation
[ "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.insert.match_1", "instOfNatNat", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula", "List.toArray", "Array.foldl", "Array", "Std.Tactic.BVDecide.LRAT.Internal.DefaultFormula.mk", "Nat", "Std.Tactic.BVDecide.LRAT.Internal.Assignment", "Std.Tactic.B...
true
SimpleGraph.killCopies_def
Mathlib.Combinatorics.SimpleGraph.Copy
[ "SimpleGraph.deleteEdges", "Eq.mpr", "SimpleGraph.Iso", "congrArg", "SimpleGraph.Subgraph", "Classical.propDecidable", "_private.Mathlib.Combinatorics.SimpleGraph.Copy.0.SimpleGraph.aux", "Set.Elem", "Set.instSingletonSet", "id", "SimpleGraph.wrapped._@.Mathlib.Combinatorics.SimpleGraph.Copy.308...
true
HomologicalComplex.shortComplexFunctor'._proof_2
Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
[ "CategoryTheory.Limits.HasZeroMorphisms", "HomologicalComplex.instCategory", "HomologicalComplex.Hom.f", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.ShortComplex.mk", "CategoryTheory.ShortComplex.X₁", "HomologicalComplex", "ComplexShape", "True", "eq_sel...
false
Equiv.Perm.sign_extendDomain
Mathlib.GroupTheory.Perm.Sign
[ "instDecidableNot", "MonoidHom.instFunLike", "Equiv.instEquivLike", "HMul.hMul", "Equiv.Perm.extendDomain", "MonoidHom", "Monoid.toMulOneClass", "congrArg", "Equiv.Perm.sign", "Subtype.fintype", "Units", "Equiv", "Subtype", "DivInvMonoid.toMonoid", "Int", "Equiv.Perm.sign_refl", "Uni...
true
Polynomial.Monic.of_mul_monic_right
Mathlib.Algebra.Polynomial.Monic
[ "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "HMul.hMul", "congrArg", "Eq.mp", "id", "Polynomial.leadingCoeff", "AddCommMonoidWithOne.toAddMonoidWithOne", "Polynomial", "Polynomial.Monic", "AddMonoidWithOne.toOne", "Mathlib.Tactic.Contrapose.contrapose₁", "propext", "Semiring", "...
true
Matrix.instLieAlgebraToLieAlgebra._proof_3
Mathlib.Algebra.Lie.SerreConstruction
[ "LieAlgebra.toModule", "Semigroup.toMul", "CommRing", "instHSMul", "instSMulOfMul", "HMul.hMul", "FreeLieAlgebra.instLieRing", "LieRing.toAddCommGroup", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Matrix", "LieSubmodule.toSubmodule", "AddCommGroup.toAddGroup", "SMul.mk", ...
false
CommGrpCat.limitCommGroup._proof_22
Mathlib.Algebra.Category.Grp.Limits
[ "CommGrpCat.limitCommGroup._proof_19", "GrpCat.instConcreteCategoryMonoidHomCarrier", "CommGrpCat.limitCommGroup._proof_7", "MulOne.toOne", "Equiv.commGroup._proof_1", "CategoryTheory.Functor", "Mul.mk", "Semigroup.toMul", "DivInvMonoid.toInv", "GrpCat", "MonoidHom.instFunLike", "CommGrpCat.li...
false
Lean.ParametricAttributeImpl.preserveOrder
Lean.Attributes
[ "Bool", "Lean.ParametricAttributeImpl" ]
true
PMF.filter._proof_1
Mathlib.Probability.ProbabilityMassFunction.Constructions
[ "Eq.mpr", "ENNReal.instAddCommMonoid", "congrArg", "PMF", "Set.indicator", "PMF.instFunLike", "Membership.mem", "Exists", "PMF.support", "Eq.mp", "id", "Ne", "Set.indicator_apply_eq_zero._simp_1", "funext", "And", "PMF.mem_support_iff._simp_1", "tsum", "ENNReal", "Zero.toOfNat0",...
false
IsDedekindDomain.HeightOneSpectrum.ofPrime_prime
Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
[ "CommRing", "IsDedekindDomain.HeightOneSpectrum", "IsDedekindDomain.HeightOneSpectrum.asIdeal", "IsDedekindDomain.HeightOneSpectrum.prime", "IsDedekindDomain.HeightOneSpectrum.ofPrime", "IsDedekindDomain", "Eq", "rfl" ]
true
_private.Mathlib.Tactic.Peel.0.Mathlib.Tactic.Peel._aux_Mathlib_Tactic_Peel___macroRules_Mathlib_Tactic_Peel_peel_1.match_3
Mathlib.Tactic.Peel
[ "Lean.TSyntax", "Option.ctorIdx", "Option.some", "Nat.hasNotBit", "_private.Mathlib.Tactic.Peel.0.Mathlib.Tactic.Peel.peelArgs._sparseCasesOn_1", "List.cons", "Lean.SyntaxNodeKind", "Lean.Name.mkStr1", "List.nil", "Option" ]
false
Std.Tactic.BVDecide.LRAT.Parser.Text.parseNeg
Std.Tactic.BVDecide.LRAT.Parser
[ "Pure.pure", "Std.Internal.Parsec.ByteArray.instInputIteratorUInt8Nat", "ByteArray.Iterator", "instDecidableEqUInt8", "Int.instNegInt", "Int", "Applicative.toPure", "Nat.cast", "Unit", "Std.Internal.Parsec.ByteArray.Parser", "Nat", "Std.Internal.Parsec.instAlternative", "Alternative.toApplic...
true
Unitization.toProd_smul
Mathlib.Algebra.Algebra.Unitization
[ "Unitization.instSMul", "instHSMul", "SMul", "Prod.instSMul", "Unitization.toProd", "HSMul.hSMul", "Unitization", "Prod", "Eq", "rfl" ]
true
_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.StructInstContext.mk._flat_ctor
Lean.Elab.StructInst
[ "_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.ExpandedFields", "_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.StructInstContext", "Lean.Expr", "_private.Lean.Elab.StructInst.0.Lean.Elab.Term.StructInst.StructInstContext.mk", "Lean.Level", "Array", "List", "Bool", "Lean.Name"...
false
InnerProductSpace.isIdempotentElem_rankOne_self
Mathlib.Analysis.InnerProductSpace.LinearMap
[ "ContinuousLinearMap.comp", "NormedCommRing.toNormedRing", "one_pow", "Norm.norm", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "RingHom.instRingHomClass", "MulOne.toOne", "Real", "instHSMul", "SeminormedAddCommGroup", "NormedRing.toRing", "NormedSpace.toIsBounde...
true
rank_le_one_iff
Mathlib.LinearAlgebra.Dimension.FreeAndStrongRankCondition
[ "Set.mem_range_self", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "Submodule", "Set.fintypeSingleton", "instHSMul", "Submodule.mem_top._simp_1", "Cardinal.instOne", "LE.le.trans_eq", "Cardinal", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddCommGroup...
true
PFun.monad
Mathlib.Data.PFun
[ "Unit.unit", "PFun", "Seq.mk", "SeqLeft.mk", "Function.comp", "SeqRight.mk", "Pure.mk", "Functor.mk", "PFun.bind", "Applicative.mk", "Unit", "Function.const", "PFun.pure", "Monad.mk", "PFun.map", "Monad", "Bind.mk" ]
true
CommMonCat.limitConeIsLimit.eq_1
Mathlib.Algebra.Category.MonCat.Limits
[ "CommMonCat.limitCone", "CategoryTheory.Functor", "MonoidHom.instFunLike", "CommMonCat.limitConeIsLimit", "CommMonCat.forget₂CreatesLimit", "CommMonCat.instConcreteCategoryMonoidHomCarrier", "MonoidHom", "Monoid.toMulOneClass", "CategoryTheory.Functor.comp", "CategoryTheory.Limits.limit.cone", "...
true
Lean.Server.Test.Runner.Client.Hyp.mk
Lean.Server.Test.Runner
[ "Lean.Server.Test.Runner.Client.Hyp.mk", "String", "Lean.Server.Test.Runner.Client.SubexprInfo", "Lean.FVarId", "Lean.Server.Test.Runner.Client.Hyp", "Lean.Widget.TaggedText", "Array", "Bool", "Option" ]
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.extractLsb'_extractAndExtend_eq._simp_1_4
Init.Data.BitVec.Bitblast
[ "instOfNatNat", "Nat", "Nat.lt_one_iff", "LT.lt", "propext", "instLTNat", "OfNat.ofNat", "Eq" ]
false
IsLocalizedModule.subsingleton_iff
Mathlib.Algebra.Module.LocalizedModule.Basic
[ "Eq.mpr", "Submodule", "instHSMul", "_private.Mathlib.Algebra.Module.LocalizedModule.Basic.0.IsLocalizedModule.subsingleton_iff._simp_1_1", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "IsLocalizedModule", "Linear...
true
CategoryTheory.Functor.IsStronglyCartesian.domainIsoOfBaseIso._proof_2
Mathlib.CategoryTheory.FiberedCategory.Cartesian
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Iso", "CategoryTheory.CategoryStruct.comp", "CategoryTheory.Category.toCategoryStruct", "Eq.symm", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Iso.inv", "CategoryTheory.Category" ]
false
Preord.of.injEq
Mathlib.Order.Category.Preord
[ "Eq.propIntro", "Lean.injEq_helper", "HEq.homo_ndrec", "Preord", "And", "Eq.ndrec", "Eq.refl", "HEq", "Eq", "Preord.of.inj", "Preorder", "Preord.of" ]
true
Real.tendsto_of_bddBelow_antitone
Mathlib.Topology.Instances.NNReal.Lemmas
[ "Real.instLE", "Real", "iInf", "PseudoMetricSpace.toUniformSpace", "Exists", "nhds", "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice", "instOrderTopologyReal", "Filter.atTop", "Real.instConditionallyCompleteLinearOrder", "Antitone", "Real.instInfSet", "Filter.Tendsto", "Na...
true
List.IsInfix.map
Init.Data.List.Sublist
[ "Eq.mpr", "congrArg", "List.infix_append", "List.map", "Exists", "id", "List.IsInfix", "instHAppendOfAppend", "List", "Exists.casesOn", "Eq.ndrec", "List.map_append", "List.instAppend", "Eq", "HAppend.hAppend" ]
true
AddMonoidHom.addSubmonoidMap_injective
Mathlib.Algebra.Group.Submonoid.Operations
[ "AddMonoidHom.instAddMonoidHomClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid", "AddSubmonoid.toAddZeroClass", "AddZeroClass", "_private.Mathlib.Algebra.Group.Submonoid.Operations.0.AddMonoidHom.addSubmonoidMap_injective._proof_1_1", "AddSubmonoid.map", "AddMonoidHom.a...
true
Multiset.map_eq_cons
Mathlib.Data.Multiset.MapFold
[ "Eq.mpr", "Multiset.map_cons", "Multiset.map", "congrArg", "Multiset.mem_map", "Multiset.exists_cons_of_mem", "Membership.mem", "Exists", "Multiset", "Eq.mp", "Multiset.cons", "id", "Multiset.erase_cons_head", "And.casesOn", "Multiset.instMembership", "And", "Iff", "Exists.casesOn"...
true
Polynomial.toFinsuppIsoAlg_symm_apply_toFinsupp
Mathlib.Algebra.Polynomial.AlgebraMap
[ "AddMonoidAlgebra.semiring", "Polynomial.toFinsupp", "AlgEquiv.symm", "CommSemiring.toSemiring", "AddMonoidAlgebra.algebra", "Polynomial.algebraOfAlgebra", "Nat.instAddMonoid", "Algebra.id", "Polynomial", "CommSemiring", "AlgEquiv", "Polynomial.semiring", "Nat", "Eq.refl", "AddMonoidAlge...
true
_private.Std.Internal.Async.Signal.0.Std.Internal.IO.Async.Signal.Waiter.ofNative.injEq
Std.Internal.Async.Signal
[ "Eq.propIntro", "Std.Internal.IO.Async.Signal.Waiter", "_private.Std.Internal.Async.Signal.0.Std.Internal.IO.Async.Signal.Waiter.ofNative", "_private.Std.Internal.Async.Signal.0.Std.Internal.IO.Async.Signal.Waiter.ofNative.inj", "Eq.ndrec", "Eq.refl", "Std.Internal.UV.Signal", "Eq" ]
true
CategoryTheory.LaxFunctor.map₂_leftUnitor_app
Mathlib.CategoryTheory.Bicategory.Functor.Lax
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.eqToHom", "CategoryTheory.Functor.comp", "CategoryTheory.Cat.str", "CategoryTheory.CategoryStruct.id", "Mathlib.Tactic.CategoryTheory.ToApp.toNatTrans_congr", "Eq.mp", "CategoryTheory.Bicategory.whiskerRight", "i...
true
InfConvergenceClass.mk
Mathlib.Topology.Order.MonotoneConvergence
[ "InfConvergenceClass.mk", "Preorder.toLE", "Membership.mem", "nhds", "Subtype", "TopologicalSpace", "Filter.Tendsto", "InfConvergenceClass", "IsGLB", "Filter.atBot", "Subtype.val", "Set.instMembership", "Preorder", "Subtype.preorder", "Set" ]
true
Maximal.eq_1
Mathlib.Order.Defs.Unbundled
[ "LE.le", "LE", "And", "Eq.refl", "Maximal", "Eq" ]
true
Lean.Lsp.SemanticTokenModifier.ctorIdx
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.SemanticTokenModifier.casesOn", "Lean.Lsp.SemanticTokenModifier", "Nat" ]
false
Module.jacobson_le_of_eq_bot
Mathlib.RingTheory.Jacobson.Radical
[ "Eq.mpr", "Submodule", "RingHomSurjective.ids", "Submodule.Quotient.addCommMonoid", "Module.jacobson", "Submodule.Quotient.addCommGroup", "congrArg", "AddCommGroup.toAddCommMonoid", "PartialOrder.toPreorder", "LinearMap.ker", "Preorder.toLE", "Submodule.hasQuotient", "AddCommGroup", "id", ...
true
UInt32.zero_shiftLeft
Init.Data.UInt.Bitwise
[ "UInt32.toBitVec", "UInt32.toNat", "BitVec.instOfNat", "congrArg", "HShiftLeft.hShiftLeft", "BitVec", "UInt32.toBitVec_ofNat", "UInt32.toNat_toBitVec", "Nat.instMod", "instHMod", "BitVec.instHShiftLeftNat", "instOfNatNat", "BitVec.toNat", "BitVec.ofNat", "BitVec.zero_shiftLeft", "HMod....
true
CategoryTheory.SmallObject.relativeCellComplexιObjFObjSuccIso
Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.SmallObject.relativeCellComplexιObj", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.SmallObject.FunctorObjIndex", "Order.succ", "Cardinal.IsRegular", "CategoryT...
true
AddEquiv.linearEquiv_symm_apply
Mathlib.Algebra.Module.TransferInstance
[ "LinearEquiv.symm", "AddEquiv.linearEquiv", "AddCommMonoid", "RingHomInvPair.ids", "LinearEquiv", "AddEquiv.module", "Semiring", "LinearEquiv.instEquivLike", "AddEquiv", "Eq.refl", "AddCommSemigroup.toAddCommMagma", "AddEquiv.toEquiv", "Module", "AddCommMonoid.toAddCommSemigroup", "RingH...
true
Int8.xor_comm
Init.Data.SInt.Bitwise
[ "Int8", "BitVec", "Int8.toBitVec_inj", "instOfNatNat", "BitVec.xor_comm", "instXorOpInt8", "Nat", "HXor.hXor", "Iff.mp", "Int8.toBitVec", "OfNat.ofNat", "Eq", "instHXorOfXorOp" ]
true
Real.pi_lt_d20
Mathlib.Analysis.Real.Pi.Bounds
[ "NormedCommRing.toNormedRing", "Int.cast", "Real.instNNRatCast", "Eq.mpr", "Mathlib.Meta.NormNum.isNat_add", "Real.instLE", "Real", "DivInvMonoid.toInv", "NNRatCast.toOfScientific", "instHDiv", "Mathlib.Meta.NormNum.IsNat.to_isNNRat", "GroupWithZero.toDivisionMonoid", "Real.pi", "NormedRin...
true
WeierstrassCurve.integralModel_b₈_eq
Mathlib.AlgebraicGeometry.EllipticCurve.Reduction
[ "Eq.mpr", "CommRing", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "WeierstrassCurve.integralModel", "WeierstrassCurve.map_b₈", "Algebra", "RingHom", "Eq.rec", "id", "WeierstrassCurve.baseChange_integralModel_eq", "WeierstrassCurve", "Field.toSemifield", "Field.toCommRing...
true
Submodule.mem_stabilizer_submodule_iff_map_eq
Mathlib.Algebra.Module.Submodule.Pointwise
[ "Submodule.pointwiseDistribMulAction", "Submodule", "RingHomSurjective.ids", "DistribSMul.toLinearMap", "DistribMulAction.toDistribSMul", "Iff.rfl", "AddMonoid.toAddZeroClass", "Group", "Membership.mem", "AddZeroClass.toAddZero", "DistribSMul.toSMulZeroClass", "DivInvMonoid.toMonoid", "Subgr...
true
IsLocalization.AtPrime.equivQuotMaximalIdeal._proof_5
Mathlib.RingTheory.Localization.AtPrime.Basic
[ "Ideal.Quotient.isScalarTower", "AddGroup.toSubtractionMonoid", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "RingHom.instRingHomClass", "MulOne.toOne", "Submodule.Quotient.instZeroQuotient", "CommRing", "DivInvMonoid.toInv", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "RingHomClass.toAddMon...
false
CategoryTheory.Limits.Pi.map_comp_map'
Mathlib.CategoryTheory.Limits.Shapes.Products
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.HasProduct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Limits.Pi.map'", "CategoryTheory.Limits.Pi.π", "CategoryTheory.Limits.piObj", "congr", "True", "eq_self", "CategoryTheory.CategoryStruct.comp...
true
InnerProductGeometry.norm_div_cos_angle_sub_of_inner_eq_zero
Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle
[ "NormedCommRing.toNormedRing", "Norm.norm", "Eq.mpr", "NegZeroClass.toNeg", "Real", "instHDiv", "NormedRing.toRing", "Inner.inner", "Real.instZero", "Real.cos", "Real.instRCLike", "congrArg", "AddCommGroup.toAddCommMonoid", "Real.instDivInvMonoid", "InnerProductGeometry.angle", "AddMon...
true
Set.BijOn.bijective
Mathlib.Data.Set.Function
[ "Membership.mem", "Exists", "Set.Elem", "Subtype", "Set.BijOn.injOn", "Subtype.ext_iff", "Subtype.mk", "Set.BijOn.surjOn", "And.intro", "Set.BijOn", "Exists.intro", "Iff.mp", "Set.BijOn.mapsTo", "Function.Bijective", "Set.image", "_private.Mathlib.Data.Set.Function.0.Set.BijOn.bijectiv...
true
Additive.vadd
Mathlib.Algebra.Group.Action.TypeTags
[ "instHSMul", "Equiv.instEquivLike", "Additive", "SMul", "Additive.toMul", "VAdd", "Equiv", "VAdd.mk", "HSMul.hSMul", "DFunLike.coe", "EquivLike.toFunLike" ]
true
_private.Lean.Elab.Idbg.0.Lean.Elab.Do.elabIdbgCore
Lean.Elab.Idbg
[ "Pure.pure", "Lean.instMonadEnvOfMonadLift", "Lean.Syntax.node", "Lean.instantiateMVars", "Lean.TSyntax", "Lean.MessageData", "Lean.instToExprBool", "Lean.MonadError.mk", "Unit.unit", "Lean.instMonadExceptOfExceptionCoreM", "Lean.mkAppN", "Lean.LocalDeclKind.default", "_private.Lean.Elab.Idb...
true
Bundle.ContinuousRiemannianMetric.toRiemannianMetric._proof_1
Mathlib.Topology.VectorBundle.Riemannian
[ "Eq.mpr", "InnerProductSpace.toNormedSpace", "NormedCommRing.toSeminormedCommRing", "ContinuousLinearEquiv.symm", "Real", "FiberBundle.mem_baseSet_trivializationAt'", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedSpace", "ContinuousLinea...
false