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bool
2 classes
_private.Mathlib.Order.Disjoint.0.disjoint_assoc._proof_1_1
Mathlib.Order.Disjoint
[ "Lean.RArray.leaf", "False", "Lean.Grind.AC.Expr.op", "Lean.Grind.iff_eq", "congrArg", "Lean.Grind.AC.Expr", "OrderBot.toBot", "Classical.byContradiction", "PartialOrder.toPreorder", "Lean.Grind.AC.Context", "Lean.Grind.AC.imp_eq", "Preorder.toLE", "Disjoint", "OrderBot", "Lean.Grind.AC....
false
AlgebraicGeometry.IsFinite.rec
Mathlib.AlgebraicGeometry.Morphisms.Finite
[ "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "CommRingCat.Hom.hom", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "AlgebraicGeometry.IsAffineHom", "Topologi...
false
Num.toZNum_inj
Mathlib.Data.Num.Lemmas
[ "ZNum.ctorIdx", "HEq.refl", "False.elim", "noConfusion_of_Nat", "ZNum.pos", "Eq.casesOn", "Num.toZNum", "ZNum.zero", "ZNum", "congr_arg", "Num", "Iff", "Iff.intro", "Num.pos", "Eq.ndrec", "Eq.refl", "HEq", "PosNum", "ZNum.pos.noConfusion", "Num.casesOn", "Eq.symm", "Eq", ...
true
Std.DTreeMap.Internal.Impl.getEntryLT
Std.Data.DTreeMap.Internal.Queries
[ "Ord", "Std.TransOrd", "Std.DTreeMap.Internal.Impl.Ordered", "Membership.mem", "Exists", "Ordering", "Ord.compare", "Std.DTreeMap.Internal.Impl.getEntryLT._f", "And", "Ordering.lt", "Std.DTreeMap.Internal.Impl.brecOn", "Eq", "Std.DTreeMap.Internal.Impl", "Sigma", "Std.DTreeMap.Internal.I...
true
Lean.Meta.Grind.Arith.Cutsat.LeCnstr.brecOn.eq
Lean.Meta.Tactic.Grind.Arith.Cutsat.Types
[ "Lean.Meta.Grind.Arith.Cutsat.CooperSplitProof.below", "Lean.Meta.Grind.Arith.Cutsat.EqCnstr.below", "Lean.Meta.Grind.Arith.Cutsat.LeCnstr.brecOn.go", "Lean.Meta.Grind.Arith.Cutsat.EqCnstr.below_1", "Lean.Meta.Grind.Arith.Cutsat.CooperSplit", "Lean.Meta.Grind.Arith.Cutsat.EqCnstr.below_3", "Lean.Meta.Gr...
true
CategoryTheory.SimplicialObject.Splitting.PInfty_comp_πSummand_id_assoc
Mathlib.AlgebraicTopology.DoldKan.SplitSimplicialObject
[ "CategoryTheory.SimplicialObject.Splitting.N", "CategoryTheory.Category.assoc", "CategoryTheory.SimplicialObject.Splitting.PInfty_comp_πSummand_id", "CategoryTheory.SimplicialObject.Splitting.IndexSet.id", "Opposite", "CategoryTheory.Epi", "Nat.instOne", "HomologicalComplex.Hom.f", "CategoryTheory.C...
true
Metric.diam_cthickening_le
Mathlib.Topology.MetricSpace.Thickening
[ "ENNReal.coe_ne_top._simp_1", "False", "Real.instLE", "Real", "ENNReal.ofNNReal", "NNReal.canLift", "HMul.hMul", "LE.le.trans_eq", "Real.instZero", "congrArg", "CommSemiring.toSemiring", "ENNReal.instCharZero", "PartialOrder.toPreorder", "Nat.instAtLeastTwoHAddOfNat", "false_and", "Pre...
true
CategoryTheory.Monoidal.instMonoidalTransportedInverseEquivalenceTransported._proof_4
Mathlib.CategoryTheory.Monoidal.Transport
[ "CategoryTheory.Equivalence.unitIso", "CategoryTheory.Monoidal.transportStruct", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.Equivalence.functor", ...
false
Module.Grassmannian._sizeOf_inst
Mathlib.RingTheory.Grassmannian
[ "Module.Grassmannian", "CommRing", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "AddCommGroup", "CommRing.toCommSemiring", "SizeOf.mk", "Nat", "SizeOf", "Module", "Module.Grassmannian._sizeOf_1" ]
false
CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetLimitCone_cone_π_app
Mathlib.CategoryTheory.Limits.Constructions.Filtered
[ "CategoryTheory.Limits.limit.π", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.Limits.ProductsFromFiniteCofiltered.liftToFinsetObj", "Quiver.Hom", "CategoryTheory.Limits.HasLimitsOfShape", "Finset", "PartialOrder.toP...
true
Function.IsFixedPt.image_iterate
Mathlib.Dynamics.FixedPoints.Basic
[ "Set.image_iterate_eq", "Eq.rec", "Nat.iterate", "Function.IsFixedPt.iterate", "Nat", "Set.image", "Function.IsFixedPt", "Eq.symm", "Eq", "Set" ]
true
WittVector.instCommRing._proof_9
Mathlib.RingTheory.WittVector.Basic
[ "Nat.instMulZeroClass", "CommRing", "instHSMul", "Nat.Prime", "WittVector.hasIntScalar", "AddMonoidAlgebra.commRing", "CommSemiring.toSemiring", "RingHom", "Fact", "WittVector.mapFun.zsmul", "Int", "Finsupp.instAddCommMonoid", "CommRing.toCommSemiring", "WittVector", "RingHom.instFunLike...
false
Lean.Compiler.LCNF.Simp.ConstantFold.folderExt
Lean.Compiler.LCNF.Simp.ConstantFold
[ "Inhabited.default", "instInhabitedProd", "Lean.PersistentEnvExtension", "Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry", "Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry", "Lean.SMap.instInhabited", "Lean.instInhabitedPersistentEnvExtension", "List", "Lean.Compiler.LCNF.Simp.ConstantFold.F...
true
ULift.seminormedRing._proof_17
Mathlib.Analysis.Normed.Ring.Basic
[ "AddMonoid.toAddSemigroup", "AddMonoid.toZero", "NonUnitalNonAssocRing.toAddCommGroup", "ULift", "AddCommGroup.toAddGroup", "ULift.nonUnitalSeminormedRing", "NonUnitalRing.toNonUnitalNonAssocRing", "instHAdd", "AddSemigroup.toAdd", "AddGroup.toSubNegMonoid", "HAdd.hAdd", "SubNegMonoid.toNeg", ...
false
_private.Mathlib.LinearAlgebra.Goursat.0.Submodule.goursat._proof_1_10
Mathlib.LinearAlgebra.Goursat
[ "RingHomInvPair", "RingHomInvPair.ids", "RingHom.id", "Semiring.toNonAssocSemiring", "Ring.toSemiring", "Ring" ]
false
Aesop.Nanos.nanos
Aesop.Nanos
[ "Aesop.Nanos", "Nat" ]
true
Set.Ioc_add_bij
Mathlib.Algebra.Order.Interval.Set.Monoid
[ "Set.Ioi_inter_Iic", "Eq.mpr", "Set.Ioc", "le_of_add_le_add_right", "Set.Ioi", "Preorder.toLT", "congrArg", "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT", "covariant_swap_add_of_covariant_add", "PartialOrder.toPreorder", "Preorder.toLE", "Set.mem_Iic._simp_2", "Membership.mem", ...
true
_private.Batteries.Data.UnionFind.Basic.0.Batteries.UnionFind.setParentBump_rankD_lt._proof_1
Batteries.Data.UnionFind.Basic
[ "Batteries.UFNode.rank", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Batteries.UFNode", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Batteries.UnionFind...
false
Polynomial.Monic.add_of_left
Mathlib.Algebra.Polynomial.Monic
[ "WithBot.instPreorder", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "WithBot", "Preorder.toLT", "congrArg", "id", "Polynomial.leadingCoeff", "Polynomial.Monic.eq_1", "Polynomial.instAdd", "AddCommMonoidWithOne.toAddMonoidWithOne", "Polynomial.degree", "add_comm", "Polynomial", "...
true
_private.Mathlib.NumberTheory.NumberField.Completion.FinitePlace.0.NumberField.FinitePlace.add_le._proof_1_4
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
[ "Int.instAddCommGroup", "Multiplicative.linearOrder", "NumberField.RingOfIntegers.instIsFractionRing", "NumberField.instCommRingRingOfIntegers", "Int.instLinearOrder", "IsDedekindDomain.HeightOneSpectrum", "NumberField.RingOfIntegers.instAlgebra_1", "Field.toDivisionRing", "WithZero.instLinearOrdere...
false
setOf_riemannianEDist_lt_subset_nhds'
Mathlib.Geometry.Manifold.Riemannian.Basic
[ "Filter.instMembership", "NonAssocSemiring.toAddCommMonoidWithOne", "Real", "ENNReal.ofNNReal", "Preorder.toLT", "instAddMonoidWithOneENat", "TangentSpace.fiberBundle", "NormedSpace", "Real.denselyNormedField", "RegularSpace", "congrArg", "instAddCommGroupTangentSpace", "instIsTopologicalAdd...
true
Bundle.Pullback.lift
Mathlib.Data.Bundle
[ "Bundle.Pullback", "Bundle.TotalSpace.mk", "Bundle.TotalSpace.proj", "Bundle.TotalSpace", "Bundle.TotalSpace.snd" ]
true
_private.Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic.0.WeierstrassCurve.Projective.Y_eq_of_equiv._simp_1_2
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Basic
[ "CommRing", "instHSMul", "instSMulOfMul", "HMul.hMul", "CommSemiring.toSemiring", "Fin.instOfNat", "Function.hasSMul", "instOfNatNat", "instDistribOfSemiring", "CommRing.toCommSemiring", "Distrib.toMul", "Nat.instNeZeroSucc", "Nat", "HSMul.hSMul", "OfNat.ofNat", "WeierstrassCurve.Proje...
false
Matrix.diagonalLinearMap._proof_1
Mathlib.Data.Matrix.Basic
[ "Matrix.diagonalAddMonoidHom", "ZeroHom.toFun", "Matrix", "AddMonoid.toAddZeroClass", "AddMonoidHom.toZeroHom", "AddZeroClass.toAddZero", "AddCommMonoid", "AddZero.toZero", "instHAdd", "HAdd.hAdd", "Pi.addZeroClass", "AddZero.toAdd", "AddCommMonoid.toAddMonoid", "AddMonoidHom.map_add'", ...
false
Turing.TM1.SupportsStmt.eq_2
Mathlib.Computability.TuringMachine.PostTuringMachine
[ "Finset", "Turing.TM1.Stmt.write", "Eq.refl", "Turing.TM1.SupportsStmt", "Eq", "Turing.TM1.Stmt" ]
true
Ideal.exists_finset_card_eq_height_of_isNoetherianRing
Mathlib.RingTheory.Ideal.KrullsHeightTheorem
[ "Submodule.fg_iff_spanRank_eq_spanFinrank", "Iff.mpr", "Eq.mpr", "Submodule", "Ideal.height_le_iff_exists_minimalPrimes", "CommRing", "instCompleteLinearOrderENat", "Semiring.toModule", "le_rfl", "ChainCompletePartialOrder.instOfCompleteLattice", "Ideal.minimalPrimes", "ENat.instNatCast", "C...
true
_private.Mathlib.Data.Fin.Tuple.Finset.0.Fin.mem_piFinset_iff_last_init._simp_1_2
Mathlib.Data.Fin.Tuple.Finset
[ "instOfNatNat", "instHAdd", "And", "HAdd.hAdd", "Nat", "Fin.last", "propext", "instAddNat", "Fin.castSucc", "OfNat.ofNat", "Fin", "Eq", "Fin.forall_fin_succ'" ]
false
Mathlib.Tactic.Widget.StringDiagram.PenroseVar.indices
Mathlib.Tactic.Widget.StringDiagram
[ "List", "Nat", "Mathlib.Tactic.Widget.StringDiagram.PenroseVar" ]
true
Lean.Meta.NormCast.NormCastExtension.up
Lean.Meta.Tactic.NormCast
[ "Lean.Meta.NormCast.NormCastExtension", "Lean.Meta.SimpExtension" ]
true
CategoryTheory.Localization.Lifting
Mathlib.CategoryTheory.Localization.Predicate
[ "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Localization.Lifting.mk", "CategoryTheory.Category" ]
true
CategoryTheory.MorphismProperty.HasRightCalculusOfFractions.exists_rightFraction
Mathlib.CategoryTheory.Localization.CalculusOfFractions
[ "CategoryTheory.MorphismProperty", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MorphismProperty.RightFraction", "Exists", "CategoryTheory.MorphismProperty.RightFraction.f", "CategoryTheory.MorphismProperty.LeftFraction", "CategoryTheory.MorphismProperty.LeftFraction.Y'", ...
true
CategoryTheory.Limits.prod.inl.eq_1
Mathlib.CategoryTheory.Limits.Shapes.ZeroMorphisms
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.prod.inl", "CategoryTheory.CategoryStruct.id", "CategoryTheory.Limits.HasZeroMorphisms.zero", "CategoryTheory.Limits.HasBinaryProduct", "Zero.toOfNat0", "Eq.refl", "CategoryTheo...
true
Nat.succ_injective
Mathlib.Data.Nat.Basic
[ "Nat.succ.inj", "Nat", "Function.Injective", "Nat.succ" ]
true
_private.Mathlib.RingTheory.Localization.Away.Basic.0.IsLocalization.Away.map_injective_iff._simp_1_1
Mathlib.RingTheory.Localization.Away.Basic
[ "Monoid", "Monoid.toMulOneClass", "Membership.mem", "Exists", "Monoid.toPow", "HPow.hPow", "Nat", "Submonoid.powers", "propext", "Submonoid.mem_powers_iff", "Submonoid.instSetLike", "instHPow", "Eq", "SetLike.instMembership", "Submonoid" ]
false
LinearMap.isBigOTVS_rev_comp
Mathlib.Analysis.Asymptotics.TVS
[ "Filter.instMembership", "Eq.mpr", "GroupWithZero.toMonoidWithZero", "NormedCommRing.toSeminormedCommRing", "Asymptotics.IsBigOTVS", "instHSMul", "SemilinearMapClass.toMulActionSemiHomClass", "congrArg", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "SeminormedAddGroup.toNNNo...
true
CommMonCat.FilteredColimits.forget_preservesFilteredColimits
Mathlib.Algebra.Category.MonCat.FilteredColimits
[ "CategoryTheory.Limits.PreservesFilteredColimits", "MonoidHom.instFunLike", "CommMonCat.instConcreteCategoryMonoidHomCarrier", "MonoidHom", "Monoid.toMulOneClass", "CommMonCat.str", "MonCat", "MonCat.instCategory", "CommMonCat.hasForgetToMonCat", "CommMonCat.carrier", "MonCat.carrier", "MulOne...
true
_private.Lean.Elab.PatternVar.0.Lean.Elab.Term.CollectPatternVars.collect.processId._sparseCasesOn_1
Lean.Elab.PatternVar
[ "Lean.ConstantInfo.recInfo", "Lean.ConstantInfo.defnInfo", "Lean.ConstructorVal", "Nat.ne_of_beq_eq_false", "Lean.QuotVal", "Lean.ConstantInfo.inductInfo", "Lean.ConstantInfo.opaqueInfo", "Nat.shiftRight", "Lean.ConstantInfo.thmInfo", "Nat.hasNotBit", "Lean.ConstantInfo.rec", "instOfNatNat", ...
false
Complex.im_mul_ofReal
Mathlib.Data.Complex.Basic
[ "Complex.mul_im", "Real", "HMul.hMul", "Real.instZero", "Real.instAddMonoid", "congrArg", "Complex.im", "AddMonoid.toAddZeroClass", "Complex.instMul", "Real.semiring", "zero_add", "Complex.ofReal", "MulZeroClass.mul_zero", "Real.instAdd", "Complex.re", "instHAdd", "HAdd.hAdd", "Rea...
true
ConvexOn.exists_lipschitzOnWith_of_isBounded
Mathlib.Analysis.Convex.Continuous
[ "IsRightCancelAdd.addRightStrictMono_of_addRightMono", "Iff.mpr", "sub_pos", "AddGroup.toSubtractionMonoid", "Metric.isBounded_iff_subset_ball", "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "Real.partialOrder", "Real", "instHDiv", "instSMulOfMul", "HMul.hMul", "AddLeftCancelSemigroup.toI...
true
_private.Mathlib.Analysis.Convex.Function.0.OrderIso.strictConvexOn_symm._simp_1_1
Mathlib.Analysis.Convex.Function
[ "GT.gt", "LT.lt", "gt_iff_lt", "propext", "Eq", "LT" ]
false
CategoryTheory.Triangulated.SpectralObject.ω₂_map_hom₃
Mathlib.CategoryTheory.Triangulated.SpectralObject
[ "instNeZeroNatHAdd_1", "CategoryTheory.Triangulated.SpectralObject", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.Additive", "CategoryTheory.ComposableArrows.map'._proof_8", "PartialOrder.toPreorder", "CategoryTheory.Functor.category", "CategoryTheory.Triangulated....
true
Pi.instBiheytingAlgebra._proof_1
Mathlib.Order.Heyting.Basic
[ "BiheytingAlgebra", "Lattice.toSemilatticeSup", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeSup.toMax", "BiheytingAlgebra.toCoheytingAlgebra", "LE.le", "SDiff.sdiff", "Iff", "Max.max", "CoheytingAlgebra.toGeneralizedCoheytingAlgebra", "GeneralizedCoheytingAlgebra.toLattice", "Sem...
false
Interval.commMonoid._proof_5
Mathlib.Algebra.Order.Interval.Basic
[ "MulOne.toOne", "HMul.hMul", "IsOrderedMonoid", "MulOneClass.mul_one", "Preorder.toLE", "MulOne.toMul", "Interval", "MulOneClass.toMulOne", "One.toOfNat1", "OfNat.ofNat", "Eq", "CommMonoid", "Interval.mulOneClass", "Preorder", "instHMul" ]
false
jacobiSum_one_one
Mathlib.NumberTheory.JacobiSum.Basic
[ "CommRing", "jacobiSum_trivial_trivial", "MulChar.hasOne", "AddGroupWithOne.toAddGroup", "Nat.instAtLeastTwoHAddOfNat", "AddGroupWithOne.toAddMonoidWithOne", "HSub.hSub", "CommSemiring.toCommMonoidWithZero", "Fintype.card", "MulChar", "AddMonoidWithOne.toNatCast", "jacobiSum", "instOfNatNat"...
true
CategoryTheory.Equivalence.mapAddGrp_counitIso
Mathlib.CategoryTheory.Monoidal.Grp
[ "CategoryTheory.Functor", "CategoryTheory.Functor.mapAddGrpNatIso", "CategoryTheory.Functor.Monoidal.instId", "CategoryTheory.AddGrp", "CategoryTheory.Functor.category", "CategoryTheory.Equivalence", "CategoryTheory.Functor.comp", "CategoryTheory.Equivalence.mapAddGrp", "CategoryTheory.Functor.id", ...
true
Nat.decidableForallFin._proof_1
Init.Data.Nat.Lemmas
[ "Fin.mk", "Iff", "Nat", "LT.lt", "Iff.intro", "instLTNat", "Nat.decidableForallFin.match_1", "Fin" ]
false
ContinuousMap.compactConvergenceUniformSpace
Mathlib.Topology.UniformSpace.CompactConvergence
[ "UniformSpace", "UniformSpace.replaceTopology", "ContinuousMap", "UniformOnFun.uniformSpace", "setOf", "inferInstance", "ContinuousMap.toUniformOnFunIsCompact", "TopologicalSpace", "ContinuousMap.compactConvergenceUniformSpace._proof_5", "UniformOnFun", "UniformSpace.comap", "UniformSpace.toTo...
true
IsStarNormal.neg
Mathlib.Algebra.Star.SelfAdjoint
[ "AddGroup.toSubtractionMonoid", "NonUnitalNonAssocRing", "Eq.mpr", "NegZeroClass.toNeg", "star_comm_self'", "IsStarNormal.mk", "HMul.hMul", "IsStarNormal", "congrArg", "NonUnitalNonAssocRing.toAddCommGroup", "AddCommGroup.toAddGroup", "star_neg", "id", "NonUnitalNonAssocRing.toNonUnitalNon...
true
Std.DTreeMap.Internal.Impl.insertMin.match_3.congr_eq_1
Std.Data.DTreeMap.Internal.WF.Lemmas
[ "Std.DTreeMap.Internal.Impl.casesOn", "Std.DTreeMap.Internal.Impl.Balanced", "HEq.homo_ndrec", "Std.DTreeMap.Internal.Impl.inner", "id", "Std.DTreeMap.Internal.Impl.insertMin.match_3", "heq_of_eq", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Eq.ndrec", "Eq.refl", "HEq", "Eq.symm", "Eq", "...
true
_private.Mathlib.Topology.MetricSpace.Infsep.0.Set.einfsep_insert._simp_1_1
Mathlib.Topology.MetricSpace.Infsep
[ "Membership.mem", "Ne", "Set.le_einfsep_iff", "LE.le", "ENNReal.instLE", "ENNReal", "propext", "EDist.edist", "EDist", "Set.einfsep", "Eq", "Set.instMembership", "Set" ]
false
NNRat.cast_div_of_ne_zero
Mathlib.Data.Rat.Cast.Defs
[ "NNRat.divNat", "Nat.commute_cast", "Eq.mpr", "NonAssocSemiring.toAddCommMonoidWithOne", "DivInvMonoid.toInv", "instHDiv", "GroupWithZero.toDivisionMonoid", "HMul.hMul", "GroupWithZero.toDivInvMonoid", "NNRat.cast_def", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "...
true
List.minOn_append._proof_1
Init.Data.List.MinMaxOn
[ "False", "eq_false", "congrArg", "List.append_eq_nil_iff._simp_1", "false_and", "Ne", "instHAppendOfAppend", "List", "And", "True", "of_eq_true", "congrFun'", "List.instAppend", "not_false_eq_true", "Eq", "Not", "HAppend.hAppend", "Eq.trans", "List.nil" ]
false
norm_deriv_eq_norm_fderiv
Mathlib.Analysis.Calculus.Deriv.Basic
[ "NormedCommRing.toNormedRing", "Norm.norm", "NormedCommRing.toSeminormedCommRing", "Real", "Semiring.toModule", "NormedRing.toRing", "NormedSpace.toIsBoundedSMul", "NormedSpace", "_private.Mathlib.Analysis.Calculus.Deriv.Basic.0.norm_deriv_eq_norm_fderiv._simp_1_1", "congrArg", "DistribMulAction...
true
FreeGroup.Red.decidableRel._proof_3
Mathlib.GroupTheory.FreeGroup.Reduce
[ "Bool.not", "FreeGroup.Red.Step.to_red", "FreeGroup.Red.Step.not", "FreeGroup.Red.cons_cons", "Prod.mk", "FreeGroup.Red.trans", "List.cons", "instHAppendOfAppend", "List", "Bool", "List.instAppend", "Prod", "HAppend.hAppend", "FreeGroup.Red", "List.nil" ]
false
RCLike.norm_coe_norm
Mathlib.Analysis.Normed.Module.RCLike.Basic
[ "Norm.norm", "NormedCommRing.toSeminormedCommRing", "SeminormedRing.toNorm", "Real", "RCLike.toNormedAlgebra", "Algebra.algebraMap", "congrArg", "CommSemiring.toSemiring", "SeminormedRing.toRing", "RingHom", "NormedField.toField", "NormedField.toNorm", "NormedDivisionRing.to_normOneClass", ...
true
_private.Init.Data.String.Lemmas.Intercalate.0.String.intercalate.go.eq_2
Init.Data.String.Lemmas.Intercalate
[ "String", "Eq.refl", "Eq", "_private.Init.Data.String.Defs.0.String.intercalate.go", "List.nil" ]
true
FreeAddGroup.Red.Step.sublist
Mathlib.GroupTheory.FreeGroup.Basic
[ "List.append_sublist_append_left", "Bool.not", "HEq.refl", "Prod.mk", "FreeAddGroup.Red.Step.casesOn", "List.cons", "instHAppendOfAppend", "List", "FreeAddGroup.Red.Step", "True", "propext", "List.Sublist.refl", "eq_true", "Bool", "of_eq_true", "Eq.ndrec", "List.Sublist", "Eq.refl"...
true
_private.Std.Data.DHashMap.Basic.0.Std.DHashMap.Const.modify._proof_1
Std.Data.DHashMap.Basic
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Internal.Raw₀.Const.modify", "Std.DHashMap.Raw", "Std.DHashMap.wf", "instOfNatNat", "Std.DHashMap.Raw.WF.size_buckets_pos", "Subtype.mk", "Std.DHashMap.inner", "Std.DHashMap.Raw.WF.constModify₀", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", "_private.Std.D...
false
MvPowerSeries.eq_inv_iff_mul_eq_one
Mathlib.RingTheory.MvPowerSeries.Inverse
[ "Eq.mpr", "MulOne.toOne", "HMul.hMul", "congrArg", "Iff.rfl", "MvPowerSeries", "RingHom", "MvPowerSeries.instMul", "MvPowerSeries.constantCoeff", "id", "MulOne.toMul", "Ne", "Field.toSemifield", "MvPowerSeries.instInv", "MulZeroOneClass.toMulOneClass", "instMulZeroOneClassOfSemiring", ...
true
Set.singleton_inter_of_notMem
Mathlib.Data.Set.Insert
[ "Iff.mpr", "Set.singleton_inter_eq_empty", "Membership.mem", "Set.instSingletonSet", "Set.instInter", "Inter.inter", "Set.instEmptyCollection", "EmptyCollection.emptyCollection", "Singleton.singleton", "Eq", "Set.instMembership", "Not", "Set" ]
true
Lean.Parser.Term.optIdent.parenthesizer
Lean.Parser.Term.Basic
[ "Lean.Parser.optional.parenthesizer", "Lean.Parser.ident.parenthesizer", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.Parenthesizer.atomic.parenthesizer", "Lean.PrettyPrinter.Parenthesizer.andthen.parenthesizer", "Lean.Parser.symbol.parenthesizer" ]
true
NumberField.mixedEmbedding.fundamentalCone.expMapBasis_nonneg
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
[ "Real.instLE", "Real", "NumberField.mixedEmbedding.realSpace", "Pi.topologicalSpace", "Real.instZero", "PseudoMetricSpace.toUniformSpace", "LT.lt.le", "OpenPartialHomeomorph.toFun'", "LE.le", "NumberField.mixedEmbedding.fundamentalCone.expMapBasis_pos", "NumberField.InfinitePlace", "Zero.toOfN...
true
Batteries.BinomialHeap.Imp.FindMin.recOn
Batteries.Data.BinomialHeap.Basic
[ "Batteries.BinomialHeap.Imp.Heap", "Batteries.BinomialHeap.Imp.HeapNode", "Batteries.BinomialHeap.Imp.FindMin.mk", "Batteries.BinomialHeap.Imp.FindMin", "Batteries.BinomialHeap.Imp.FindMin.rec" ]
false
_private.Mathlib.Combinatorics.Enumerative.Partition.Glaisher.0.Nat.Partition.aux_mul_one_sub_X_pow._proof_1_2
Mathlib.Combinatorics.Enumerative.Partition.Glaisher
[ "Int.Linear.eq_of_core", "Int.Linear.not_eq_norm_expr", "Lean.RArray.leaf", "MulOne.toOne", "False", "Int.Nonneg.toPoly", "CommRing", "Lean.Grind.CommRing.Mon.mult", "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Expr", "HMul.hMul", "Lean.Grind.CommRing.Expr.mul", "Int.Linear.norm_le", "...
false
Pell.Solution₁.instCommGroup._proof_7
Mathlib.NumberTheory.Pell
[ "Mul.mk", "Semigroup.toMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "One.mk", "HMul.hMul", "CommRing.toNonUnitalCommRing", "Monoid.toMulOneClass", "Zsqrtd.instCommMonoid", "unitary", "Submonoid.toMonoid._proof_1", "Semigroup.mk", "SubmonoidClass.toMonoid._proof_2", "NonUnitalNonAss...
false
Lean.Grind.CommRing.Poly.cancelVar
Init.Grind.Ring.CommSolver
[ "Lean.Grind.CommRing.Poly", "Lean.Grind.CommRing.Poly.cancelVar'", "Int", "Lean.Grind.CommRing.Var", "instOfNat", "OfNat.ofNat", "Lean.Grind.CommRing.Poly.num" ]
true
CategoryTheory.Pseudofunctor.DescentData'.instCategory._proof_2
Mathlib.CategoryTheory.Sites.Descent.DescentDataPrime
[ "Opposite", "CategoryTheory.LocallyDiscrete.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.CategoryStruct.opposite", "congrArg", "Quiver.Hom.op", "CategoryTheory.locallyDiscreteBicategory", "CategoryTheory.Pseudofunctor.DescentData'.obj", "CategoryTheory.Cat.str", "...
false
ContMDiffWithinAt.change_section_trivialization
Mathlib.Geometry.Manifold.VectorBundle.Basic
[ "Bundle.Trivialization.toFun'", "chartedSpaceSelf", "ContMDiffWithinAt", "NormedSpace", "FiberBundle", "ContMDiffWithinAt.coordChange", "congrArg", "nhdsWithin", "setOf", "PseudoMetricSpace.toUniformSpace", "instTopologicalSpaceProd", "Bundle.Trivialization.coordChange_apply_snd", "Function....
true
MvPolynomial.monomial_zero'
Mathlib.Algebra.MvPolynomial.Basic
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "MvPolynomial.monomial", "LinearMap.instFunLike", "Nat.instAddMonoid", "RingHom", "LinearMap", "CommSemiring", "NonUnitalNonAss...
true
CategoryTheory.Profunctor.op
Mathlib.CategoryTheory.Profunctor.Basic
[ "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Profunctor", "CategoryTheory.Functor.category", "Quiver.Hom.unop", "CategoryTheory.ProfunctorCore.mk", "CategoryTheory.Functor.map", "CategoryTheory.Profunctor.op._proof_4", "CategoryThe...
true
WittVector.succNthValUnits.congr_simp
Mathlib.RingTheory.WittVector.DiscreteValuationRing
[ "CommRing", "Nat.Prime", "CommSemiring.toSemiring", "AddGroupWithOne.toAddMonoidWithOne", "Units", "Fact", "Eq.rec", "WittVector.succNthValUnits", "instOfNatNat", "instHAdd", "CommRing.toCommSemiring", "WittVector", "HAdd.hAdd", "Nat", "Semiring.toMonoid", "instAddNat", "Eq.refl", ...
true
Finset.measure_zero
Mathlib.MeasureTheory.Measure.Typeclasses.NoAtoms
[ "MeasureTheory.Measure", "MeasureTheory.NoAtoms", "Finset", "Set.Finite.measure_zero", "MeasurableSpace", "SetLike.coe", "Finset.instSetLike", "ENNReal", "Zero.toOfNat0", "Finset.finite_toSet", "ENNReal.instZero", "OfNat.ofNat", "Eq", "DFunLike.coe", "MeasureTheory.Measure.instFunLike", ...
true
Lean.Meta.RefinedDiscrTree.Key.bvar
Mathlib.Lean.Meta.RefinedDiscrTree.Basic
[ "Lean.Meta.RefinedDiscrTree.Key", "Lean.Meta.RefinedDiscrTree.Key.bvar", "Nat" ]
true
Lean.Grind.AC.diseq_simp_rhs_ac
Init.Grind.AC
[ "Std.Commutative", "Eq.mpr", "Lean.Grind.AC.Context.op", "False", "Bool.and'", "Lean.Grind.AC.Seq.denote_union", "eq_false", "congrArg", "Lean.Grind.AC.Seq.union", "Bool.and'_eq_and", "Lean.Grind.AC.Context", "Lean.Grind.AC.Seq.beq'", "Eq.mp", "id", "Bool.and", "Ne", "Lean.Grind.AC.S...
true
Lean.isInstanceReducibleCore
Lean.ReducibilityAttrs
[ "Lean.isImplicitReducibleCore", "Bool", "Lean.Name", "Lean.Environment" ]
true
MulEquiv.withOneCongr._proof_2
Mathlib.Algebra.Group.WithOne.Basic
[ "MulHom", "WithOne", "MulEquiv.toMulHom", "MonoidHom.instMonoidHomClass", "MulEquiv.instEquivLike", "MonoidHom.instFunLike", "MonoidHom", "congrArg", "MulEquiv.instMulEquivClass", "Mul", "WithOne.mapMulHom", "MonoidHomClass.toOneHomClass", "MulHomClass.toMulHom", "WithOne.instMulOneClass",...
false
ONote.zero.elim
Mathlib.SetTheory.Ordinal.Notation
[ "PULift.up", "ONote.ctorIdx", "ONote.zero", "Nat", "Eq.symm", "ONote.ctorElim", "Eq", "ONote" ]
false
Con.lift
Mathlib.GroupTheory.Congruence.Hom
[ "MonoidHom.instMonoidHomClass", "MulOne.toOne", "MonoidHom.instFunLike", "MonoidHom", "OneHom.mk", "MulOne.toMul", "MonoidHom.mk", "Con.instLE", "Con.mulOneClass", "LE.le", "Con.Quotient", "Con.lift._proof_4", "MulOneClass.toMulOne", "Con.ker", "Con.liftOn", "Con.lift._proof_2", "Mon...
true
TopologicalSpace.Closeds.noncompactSpace_iff._simp_1
Mathlib.Topology.UniformSpace.Closeds
[ "UniformSpace", "TopologicalSpace.Closeds.noncompactSpace_iff", "TopologicalSpace.Closeds.uniformSpace", "propext", "UniformSpace.toTopologicalSpace", "Eq", "TopologicalSpace.Closeds", "NoncompactSpace" ]
false
_private.Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.RotateLeft.0.Std.Tactic.BVDecide.BVExpr.bitblast.blastRotateLeft.go_get_aux._proof_1_2
Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.RotateLeft
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", ...
false
Int.mul_fmod_right
Init.Data.Int.DivMod.Lemmas
[ "Eq.mpr", "Int.mul_fmod_left", "HMul.hMul", "congrArg", "id", "Int", "Int.fmod", "Int.instMul", "instOfNat", "Eq.refl", "Int.mul_comm", "OfNat.ofNat", "Eq", "instHMul" ]
true
Lean.Parser.OrElseOnAntiquotBehavior.rec
Lean.Parser.Basic
[ "Lean.Parser.OrElseOnAntiquotBehavior", "Lean.Parser.OrElseOnAntiquotBehavior.acceptLhs", "Lean.Parser.OrElseOnAntiquotBehavior.merge", "Lean.Parser.OrElseOnAntiquotBehavior.takeLongest" ]
false
_private.Std.Data.DHashMap.Internal.WF.0.Std.DHashMap.Internal.Raw₀.alterₘ.match_1.eq_2
Std.Data.DHashMap.Internal.WF
[ "Option.some", "Option.none", "Unit", "Std.DHashMap.Internal.Raw₀.alterₘ.match_1", "Eq.refl", "Eq", "Option" ]
true
Std.HashMap.getKey!_eq_getKeyD_default
Std.Data.HashMap.Lemmas
[ "Inhabited.default", "Std.HashMap", "LawfulHashable", "Std.HashMap.getKey!", "EquivBEq", "Std.HashMap.getKeyD", "Std.DHashMap.getKey!_eq_getKeyD_default", "Inhabited", "Hashable", "Std.HashMap.inner", "BEq", "Eq" ]
true
_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.DetectState
Lean.Compiler.LCNF.SimpleGroundExpr
[ "_private.Lean.Compiler.LCNF.SimpleGroundExpr.0.Lean.Compiler.LCNF.DetectState.mk" ]
true
_private.Init.Data.List.Count.0.List.count_erase.match_1_1
Init.Data.List.Count
[ "Unit.unit", "List.cons", "List", "Unit", "List.casesOn", "List.nil" ]
false
LieModule.toEnd_eq_iff
Mathlib.Algebra.Lie.OfAssociative
[ "LieHom", "Module.End.instRing", "CommRing", "instSMulOfMul", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Function.Injective.eq_iff", "AddCommGroup", "LieModule.IsFaithful.injective_toEnd", "LieModule.IsFaithful", "IsScalarTower.left", "smulCommClass_self", "instDistribOfSemi...
true
SSet.Subcomplex.PairingCore.index
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
[ "SSet.Subcomplex.PairingCore.ι", "SSet.Subcomplex.PairingCore", "instOfNatNat", "SSet", "instHAdd", "HAdd.hAdd", "Nat", "SSet.Subcomplex.PairingCore.dim", "instAddNat", "SSet.Subcomplex", "OfNat.ofNat", "Fin" ]
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.minKey!_eq_default._simp_1_1
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "Ordering", "Ordering.eq", "Ord.compare", "Bool.true", "BEq.beq", "propext", "Bool", "Std.LawfulBEqOrd", "BEq", "Eq", "Std.LawfulBEqOrd.compare_eq_iff_beq" ]
false
Int.two_dvd_mul_add_one
Mathlib.Algebra.Ring.Int.Parity
[ "NonAssocSemiring.toAddCommMonoidWithOne", "Dvd.dvd", "HMul.hMul", "Nat.instAtLeastTwoHAddOfNat", "semigroupDvd", "SemigroupWithZero.toSemigroup", "Distrib.toAdd", "AddMonoidWithOne.toNatCast", "instOfNatNat", "Int", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonUnitalSemiring.toSemigroupWith...
true
_private.Mathlib.Topology.EMetricSpace.Basic.0.EMetric.totallyBounded_iff'.match_1_1
Mathlib.Topology.EMetricSpace.Basic
[ "PseudoEMetricSpace.toWeakPseudoEMetricSpace", "Set.Finite", "Membership.mem", "Exists", "HasSubset.Subset", "Metric.eball", "PseudoEMetricSpace", "And.casesOn", "And", "Exists.casesOn", "WeakPseudoEMetricSpace.toEDist", "PseudoEMetricSpace.toUniformSpace", "And.intro", "ENNReal", "Exist...
false
_private.Mathlib.Combinatorics.SimpleGraph.Walk.Traversal.0.SimpleGraph.Walk.penultimate_mem_dropLast_support._proof_1_3
Mathlib.Combinatorics.SimpleGraph.Walk.Traversal
[ "List.getLast", "Lean.Grind.eq_false_of_not_eq_true", "False", "Lean.Grind.nestedProof", "List.dropLast_concat_getLast", "List.getLast_append._proof_1", "SimpleGraph.Walk.support", "SimpleGraph.Walk", "cast", "Eq.mp", "Ne", "List.dropLast", "Lean.Grind.eq_congr", "Lean.Grind.not_eq_of_eq_f...
false
Lean.Elab.Tactic.Omega.MetaProblem.ctorIdx
Lean.Elab.Tactic.Omega.Frontend
[ "Nat", "Lean.Elab.Tactic.Omega.MetaProblem" ]
false
_private.Mathlib.RingTheory.RootsOfUnity.Basic.0.IsCyclic.monoidHomMulEquivRootsOfUnityOfGenerator._simp_2
Mathlib.RingTheory.RootsOfUnity.Basic
[ "Monoid", "MulOne.toOne", "Dvd.dvd", "Monoid.toMulOneClass", "Monoid.toPow", "orderOf", "MulOneClass.toMulOne", "HPow.hPow", "Nat.instDvd", "Nat", "propext", "One.toOfNat1", "instHPow", "OfNat.ofNat", "orderOf_dvd_iff_pow_eq_one", "Eq" ]
false
Order.krullDim_eq_iSup_length
Mathlib.Order.KrullDimension
[ "WithBot.instSupSet", "WithBot.some", "WithBot", "Preorder.toLT", "instCompleteLinearOrderENat", "RelSeries.instNonempty", "instAddMonoidWithOneENat", "ENat.instNatCast", "congrArg", "iSup", "setOf", "Preorder.toLE", "FiniteDimensionalOrder.match_1", "OrderTop.bddAbove", "instPreorderENa...
true
Std.DTreeMap.Internal.Impl.Const.insertManyIfNewUnit._proof_2
Std.Data.DTreeMap.Internal.Operations
[ "Std.DTreeMap.Internal.Impl.Const.insertManyIfNewUnit._proof_1", "Unit.unit", "Std.DTreeMap.Internal.Impl.SizedBalancedTree.impl", "Ord", "Std.DTreeMap.Internal.Impl.Const.IteratedUnitInsertionInto", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "instOfNatNat", "instHAdd"...
false
Vector.getElem_zero_flatten
Init.Data.Vector.Find
[ "instGetElem?OfGetElemOfDecidable", "instHDiv", "HMul.hMul", "GetElem?.toGetElem", "Vector", "congrArg", "Vector.instGetElemNatLt", "Nat.zero_div", "Nat.pos_of_lt_mul_left", "GetElem.getElem.congr_simp", "Option.some", "Vector.getElem_flatten._proof_1", "Vector.getElem?_zero_flatten", "Eq....
true
MonoidHom.coeToMulHom.eq_1
Mathlib.Algebra.Group.Hom.Defs
[ "MulHom", "MonoidHom", "Coe.mk", "MulOne.toMul", "MonoidHom.toMulHom", "MonoidHom.coeToMulHom", "Eq.refl", "MulOne", "Coe", "Eq" ]
true
String.Pos.lt_of_lt_of_le
Init.Data.String.Basic
[ "Eq.mpr", "String.instLTRaw", "_private.Init.Data.String.Basic.0.String.Pos.lt_of_lt_of_le._simp_1_1", "String", "_private.Init.Data.String.Basic.0.String.Slice.Pos.ofStr._simp_1", "id", "LE.le", "String.Pos.Raw", "String.Pos.Raw.lt_of_lt_of_le", "implies_congr", "String.instLTPos", "LT.lt", ...
true
HomotopyCategory.instPretriangulatedIntUp
Mathlib.Algebra.Homology.HomotopyCategory.Pretriangulated
[ "Int.instAddCommGroup", "HomotopyCategory.instPretriangulatedIntUp._proof_1", "AddLeftCancelSemigroup.toIsLeftCancelAdd", "Int.instLinearOrder", "HomotopyCategory.instAdditiveIntUpShiftFunctor", "PartialOrder.toPreorder", "instIsRightCancelAddOfAddRightReflectLE", "AddGroupWithOne.toAddMonoidWithOne",...
true