And Eq HMul.hMul HSub.hSub LE.le LT.lt Nat Not OfNat.ofNat instHMul instHSub instLENat instLTNat instMulNat instOfNatNat instSubNat


And And.intro Eq Nat OfNat.ofNat instOfNatNat


And And.intro Eq HAdd.hAdd Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


And Eq HAdd.hAdd HMul.hMul LE.le LT.lt Nat Nat.succ Ne Not OfNat.ofNat instAddNat instHAdd instHMul instLENat instLTNat instMulNat instOfNatNat


And And.intro Eq HSub.hSub Nat OfNat.ofNat instHSub instOfNatNat instSubNat


LE.le Nat Ne OfNat.ofNat instLENat instOfNatNat


Dvd.dvd Eq Monoid Monoid.toSemigroup True semigroupDvd


Eq HSub.hSub LE.le Nat Not OfNat.ofNat instHSub instLENat instOfNatNat instSubNat primorial


Eq HAdd.hAdd Nat Not OfNat.ofNat instAddNat instHAdd instOfNatNat


Eq Nat Nat.instSemiring Not Odd OfNat.ofNat instOfNatNat


Add Eq HAdd.hAdd IsRightCancelAdd instHAdd

Add Eq HAdd.hAdd IsRightCancelAdd add_left_inj instHAdd propext


Eq False Nat NeZero OfNat OfNat.ofNat Zero Zero.toOfNat0 instOfNatNat


Eq False HMul.hMul Mul Ne NoZeroDivisors OfNat.ofNat Zero Zero.toOfNat0 instHMul


DFunLike.coe Eq FunLike HSMul.hSMul MulActionHomClass SMul instHSMul


Add Eq HAdd.hAdd HMul.hMul Mul RightDistribClass instHAdd instHMul


Eq Even Int Int.instAdd Nat Nat.cast instAddNat instNatCastInt

Even Int Int.even_coe_nat Int.instAdd Nat Nat.cast instAddNat instNatCastInt propext


Eq Exists Irrational Not Rat RatCast.ratCast Real Real.instRatCast


And Decidable Eq.symm instDecidableAnd ite ite_and


Add AddRightMono AddRightReflectLE Eq HAdd.hAdd LE LE.le instHAdd

Add AddRightMono AddRightReflectLE HAdd.hAdd LE LE.le add_le_add_iff_right instHAdd propext


Add Eq HAdd.hAdd HMul.hMul LeftDistribClass Mul instHAdd instHMul


Add Eq HAdd.hAdd HSub.hSub LE LE.le OrderedSub Sub instHAdd instHSub


Eq Subsingleton True eq_iff_true_of_subsingleton propext


Eq HAdd.hAdd LE.le Nat Not OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Add Eq Even HMul.hMul Mul RightDistribClass True instHMul


HMul.hMul LE.le Nat Ne OfNat.ofNat instHMul instLENat instMulNat instOfNatNat


HAdd.hAdd HMul.hMul LE.le Nat Ne OfNat.ofNat instAddNat instHAdd instHMul instLENat instMulNat instOfNatNat


Eq LE.le Nat Not OfNat.ofNat instLENat instOfNatNat


Int Nat Nat.cast Zsqrtd Zsqrtd.mk instNatCastInt


And Eq Int Int.gcd Nat OfNat.ofNat instOfNat instOfNatNat

And Eq Int Int.gcd Int.gcd_eq_zero_iff Nat OfNat.ofNat instOfNat instOfNatNat propext


Add AddLeftMono AddRightMono Eq HAdd.hAdd LE.le Preorder Preorder.toLE True instHAdd


And Eq HMul.hMul Irreducible IsUnit Monoid Monoid.toMulOneClass MulOne.toMul MulOneClass.toMulOne Not Or instHMul


IsWellFounded WellFounded isWellFounded_iff propext


And Eq Exists IsAtom IsAtomistic IsLUB Membership.mem OrderBot PartialOrder PartialOrder.toPreorder Preorder.toLE Set Set.instMembership


And Eq Exists IsCoatom IsCoatomistic IsGLB Membership.mem OrderTop PartialOrder PartialOrder.toPreorder Preorder.toLE Set Set.instMembership


And CovBy Eq Exists Ne PartialOrder PartialOrder.toPreorder Pi.preorder Preorder.toLT


And Eq Exists IsConcreteLE LE LE.le Membership.mem Not SetLike SetLike.instMembership


Classical.or_iff_not_imp_left Not Or propext


DFunLike.coe Eq LE OrderIso OrderIso.symm instFunLikeOrderIso


BooleanAlgebra BooleanSubalgebra BooleanSubalgebra.instSetLike Eq Set SetLike.coe


And BddAbove Eq IsDirectedOrder Preorder Preorder.toLE Set Set.instUnion Union.union


And Iff LE.le Not Or Preorder Preorder.toLE


Eq GaloisConnection LowerAdjoint LowerAdjoint.mk LowerAdjoint.toFun Preorder


Disjoint Eq OrderBot PartialOrder PartialOrder.toPreorder Preorder.toLE


ChainClosure Eq LE.le Or Set Set.instLE SuccChain


Concept Concept.extent Eq Exists Exists.intro Set


Concept Concept.intent Eq Exists Exists.intro Set


BddBelow Eq OrderBot Preorder Preorder.toLE Set True


And Eq Exists exists_exists_and_eq_and propext


And Eq Exists exists_exists_eq_and propext


Eq LE.le Preorder Preorder.toLE True UsesSetNotationForOrder


And DecidableEq Eq Function.eq_update_iff Function.update Ne propext


And AntisymmRel Eq Exists LE.le Ne Nonempty Pi.preorder Preorder Preorder.toLE WCovBy

And AntisymmRel Exists LE.le Ne Nonempty Pi.preorder Pi.wcovBy_iff_antisymmRel Preorder Preorder.toLE WCovBy propext


And CovBy Eq LT.lt Preorder Preorder.toLT WCovBy


CovBy Eq Or PartialOrder PartialOrder.toPreorder Preorder.toLT WCovBy propext wcovBy_iff_eq_or_covBy


Eq LE.le Nat OfNat.ofNat instLENat instOfNatNat


And DecidablePred Eq Exists LT.lt Nat Nat.find Not instLTNat

And DecidablePred Eq Exists LT.lt Nat Nat.find Nat.find_eq_iff Not instLTNat propext


And And.intro IsCodirectedOrder Nonempty Preorder Preorder.toLE


And And.intro IsDirectedOrder Nonempty Preorder Preorder.toLE


Eq Even HMod.hMod Nat Nat.instMod OfNat.ofNat instAddNat instHMod instOfNatNat


And Eq Exists Filter.IsBasis Filter.IsBasis.filterBasis FilterBasis Membership.mem Set instMembershipSetFilterBasis


Eq Filter.HasBasis Filter.principal Set True Unit


And Eq Exists Filter Filter.Eventually Filter.Frequently


Eq Exists Exists.intro Nat Set Set.range


Eq Exists Filter Filter.EventuallyConst Filter.EventuallyEq Nonempty


Exists False Or Prop.exists_iff True propext


Eq False Filter Filter.EventuallyConst Filter.EventuallyEq Or True


Exists Nonempty True exists_true_iff_nonempty propext


IsEmpty Nonempty Not not_nonempty_iff propext


Eq Exists Filter Filter.NeBot Filter.instSupSet iSup


And Eq Exists Filter Filter.NeBot Filter.coprodᵢ Nonempty


DivInvMonoid.toMonoid Eq Group Group.toDivInvMonoid IsUnit True


Eq Filter Filter.instMembership Iff Membership.mem Set


Eq Filter Filter.principal Filter.principal_eq_iff_eq Set propext


Eq Fin Fin.val LE.le Nat instLEFin instLENat


And CovBy Eq LE.le Not Preorder Preorder.toLE Preorder.toLT WCovBy


DFunLike.coe IsWellOrder Not RelEmbedding RelEmbedding.instFunLike Subtype


And Bot.bot Eq Interval Interval.coe LE NonemptyInterval OrderBot.toBot instLEInterval instOrderBotInterval


BddBelow EmptyCollection.emptyCollection Eq Nonempty Preorder Preorder.toLE Set Set.instEmptyCollection True


BddAbove EmptyCollection.emptyCollection Eq Nonempty Preorder Preorder.toLE Set Set.instEmptyCollection True


Eq False Finset Finset.card HAdd.hAdd HSub.hSub LT.lt Nat Not OfNat.ofNat Prod instAddNat instHAdd instHSub instLTNat instOfNatNat instSubNat


Eq False Finset HAdd.hAdd HSub.hSub LT.lt Nat Not OfNat.ofNat Prod instAddNat instHAdd instHSub instLTNat instOfNatNat instSubNat


Eq Finset HAdd.hAdd HSub.hSub LT.lt Nat OfNat.ofNat Prod instAddNat instHAdd instHSub instLTNat instOfNatNat instSubNat


Eq Finset HAdd.hAdd HSub.hSub LT.lt Nat Not OfNat.ofNat Prod instAddNat instHAdd instHSub instLTNat instOfNatNat instSubNat


Eq False Finset HSub.hSub LT.lt Nat Nat.succ Not OfNat.ofNat Prod instHSub instLTNat instOfNatNat instSubNat


Eq HAdd.hAdd HSub.hSub Nat Not OfNat.ofNat instAddNat instHAdd instHSub instOfNatNat instSubNat


False Finset LT.lt Nat Ne Not Prod instLTNat


HAdd.hAdd LE.le Nat instAddNat instHAdd instLENat


False HAdd.hAdd LE.le Nat OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Eq Fin Fin.val LT.lt Nat instLTFin instLTNat


Eq Exists Fin Fin.mk LT.lt Nat instLTNat


Exists Exists.intro Nat Nat.instPreorder Preorder StrictMono


CompositionSeries CompositionSeries.Equivalent Eq JordanHolderLattice Lattice True


Eq Fin Fin.val LE.le Nat instLEFin instLENat


Eq HSub.hSub LE.le Nat instHSub instLENat instSubNat


AddMonoidWithOne AddMonoidWithOne.toNatCast CharZero Eq Nat Nat.cast


Eq FiniteDimensionalOrder InfiniteDimensionalOrder Nonempty Not Preorder

Eq.symm FiniteDimensionalOrder InfiniteDimensionalOrder Nonempty Not Preorder not_infiniteDimensionalOrder_iff propext


ENat Eq InfiniteDimensionalOrder Order.krullDim Preorder Top.top WithBot WithBot.instTop instTopENat


Add Eq HAdd.hAdd HSub.hSub LE LE.le OrderedSub Sub instHAdd instHSub


DecidablePred Eq Exists Nat Nat.find OfNat.ofNat instOfNatNat

DecidablePred Eq Exists Nat Nat.find Nat.find_eq_zero OfNat.ofNat instOfNatNat propext


Eq HAdd.hAdd Nat Nat.succ instAddNat instHAdd


Eq LE.le Nat OfNat.ofNat instLENat instOfNatNat


Exists LE LE.le NoBotOrder Not noBotOrder_iff' propext


Exists LT LT.lt NoMinOrder noMinOrder_iff' propext


Eq LE Minimal Subtype Subtype.instLE Subtype.val True


Eq HAdd.hAdd Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


Eq HAdd.hAdd HSub.hSub LE.le Nat OfNat.ofNat instAddNat instHAdd instHSub instLENat instOfNatNat instSubNat


Eq HAdd.hAdd LE.le Nat OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Eq LT.lt Nat OfNat.ofNat instLTNat instOfNatNat


Eq False HAdd.hAdd LE.le LT.lt Nat Not OfNat.ofNat instAddNat instHAdd instLENat instLTNat instOfNatNat


And DistribLattice.toLattice Eq Exists Lattice.toSemilatticeInf LinearOrder MonotoneOn MonovaryOn PartialOrder.toPreorder SemilatticeInf.toPartialOrder Set instDistribLatticeOfLinearOrder


Antivary AntivaryOn Eq Preorder Set.univ


And AntitoneOn AntivaryOn DistribLattice.toLattice Eq Exists Lattice.toSemilatticeInf LinearOrder MonotoneOn PartialOrder.toPreorder SemilatticeInf.toPartialOrder Set instDistribLatticeOfLinearOrder


Eq Monovary MonovaryOn Preorder Set.univ


And AntitoneOn DistribLattice.toLattice Eq Exists Lattice.toSemilatticeInf LinearOrder MonovaryOn PartialOrder.toPreorder SemilatticeInf.toPartialOrder Set instDistribLatticeOfLinearOrder


Eq False Nat OfNat.ofNat Unit instOfNatNat

Eq Eq.ndrec_symm False Nat Not OfNat.ofNat Unit Unit.unit absurd dite instDecidableEqNat instOfNatNat


And Eq Exists Exists.intro HAdd.hAdd Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


HAdd.hAdd HSub.hSub LT.lt Nat instAddNat instHAdd instHSub instLTNat instSubNat


Eq HAdd.hAdd HSub.hSub LT.lt Nat instAddNat instHAdd instHSub instLTNat instSubNat


Eq Fin Fin.val Fin.val_eq_val Nat propext


Colex DenselyOrdered LT Pi.instLTColexForall Preorder Preorder.toLT


Classical.or_iff_not_imp_left Not Or propext


Acc RelEmbedding WellFounded WellFounded.intro


Eq Fin Fin.mk LE.le LT.lt Nat instLEFin instLENat instLTNat


And Eq HEq Sigma Sigma.mk Sigma.mk.inj_iff propext


Eq HAdd.hAdd Nat OfNat.ofNat RelSeries RelSeries.length SetRel instAddNat instHAdd instOfNatNat


Eq HAdd.hAdd Nat Nat.add_left_inj instAddNat instHAdd propext


Eq Fin Fin.val HAdd.hAdd Nat OfNat.ofNat RelSeries RelSeries.length SetRel instAddNat instHAdd instOfNatNat


HSub.hSub LT.lt Nat Ne OfNat.ofNat RelSeries RelSeries.length SetRel instHSub instLTNat instOfNatNat instSubNat


Eq HAdd.hAdd HSub.hSub Nat Ne OfNat.ofNat RelSeries RelSeries.length SetRel instAddNat instHAdd instHSub instOfNatNat instSubNat


Eq LT.lt Nat Ne OfNat.ofNat instLTNat instOfNatNat


Add AddRightReflectLT AddRightStrictMono Eq HAdd.hAdd LT LT.lt instHAdd

Add AddRightReflectLT AddRightStrictMono HAdd.hAdd LT LT.lt add_lt_add_iff_right instHAdd propext


Eq Fin Fin.val HAdd.hAdd HSub.hSub Nat OfNat.ofNat RelSeries RelSeries.length SetRel instAddNat instHAdd instHSub instOfNatNat instSubNat


LT.lt Nat Ne OfNat.ofNat RelSeries RelSeries.length SetRel instLTNat instOfNatNat


Eq Preorder ScottContinuous ScottContinuousOn Set Set.univ


And Eq Exists exists_exists_and_eq_and propext


Eq Lattice Set SetLike.coe Sublattice Sublattice.instSetLike


CovBy Eq Or PartialOrder PartialOrder.toPreorder Preorder.toLT WCovBy propext wcovBy_iff_eq_or_covBy


Disjoint Eq OrderBot PartialOrder PartialOrder.toPreorder Preorder.toLE


Cardinal Cardinal.mk Eq LinearOrder OrderType OrderType.type


Eq LinearOrder OrderType OrderType.type ULift ULift.instLinearOrder


Eq Set SetLike SetLike.coe SetLike.ext'_iff propext


DFunLike.coe Eq LE OrderIso OrderIso.symm instFunLikeOrderIso


Eq LE Set SetLike.coe UpperSet UpperSet.instSetLike


Iff IsLowerSet IsRelLowerSet LE Set True


Iff IsRelUpperSet IsUpperSet LE Set True


And Eq Exists IsWellOrder Membership.mem Not Or Set Set.Nonempty Set.instMembership


And Eq Exists Membership.mem Not Or Set Set.Nonempty Set.instMembership WellFounded


And Eq Exists Membership.mem Not Or Set Set.Nonempty Set.instMembership


IsWellFounded WellFounded isWellFounded_iff propext


And Eq Exists Membership.mem Not Set Set.Nonempty Set.instMembership WellFounded


And Eq Exists Exists.intro HAdd.hAdd Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


And Eq HAdd.hAdd Nat OfNat.ofNat Subtype Subtype.mk instAddNat instHAdd instOfNatNat


Eq GT.gt IsEmpty IsStrictOrder Nat RelEmbedding WellFounded instLTNat

GT.gt IsEmpty IsStrictOrder Nat RelEmbedding RelEmbedding.wellFounded_iff_isEmpty WellFounded instLTNat propext


Eq.symm IsEmpty Nonempty Not not_nonempty_iff propext


Eq LE LE.le WellQuasiOrdered WellQuasiOrderedLE

LE LE.le WellQuasiOrdered WellQuasiOrderedLE propext wellQuasiOrderedLE_def


Add CanonicallyOrderedAdd Eq HAdd.hAdd LE.le Preorder Preorder.toLE True instHAdd


Eq False Nat NeZero OfNat OfNat.ofNat Zero Zero.toOfNat0 instOfNatNat


Eq False HMul.hMul Mul Ne NoZeroDivisors OfNat.ofNat Zero Zero.toOfNat0 instHMul


Eq MeasurableSet MeasurableSpace Set.univ True


Eq False NeZero OfNat.ofNat Zero Zero.toOfNat0


IsEmpty Not Subtype isEmpty_subtype propext


Eq HMul.hMul HSMul.hSMul Mul instHMul instHSMul instSMulOfMul


And Complex Complex.im Complex.re Eq Real


Complex Complex.ofReal Complex.ofReal_inj Eq Real propext


And Decidable Eq.symm instDecidableAnd ite ite_and


Eq Eq.ndrec_symm Nat Not OfNat.ofNat Unit Unit.unit dite instDecidableEqNat instOfNatNat


Eq False Nat OfNat.ofNat Unit instOfNatNat

Eq Eq.ndrec_symm False Nat Not OfNat.ofNat Unit Unit.unit absurd dite instDecidableEqNat instOfNatNat


Bot Fin Finset Finset.card HAdd.hAdd LinearOrder Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


Decidable Eq Not dite dite_eq_right_iff propext


HAdd.hAdd LE.le Nat Not OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Eq MeasurableSpace MeasureTheory.StronglyMeasurable TopologicalSpace True


Add Eq HAdd.hAdd HSub.hSub LE LE.le OrderedSub Sub instHAdd instHSub


Eq HAdd.hAdd LT.lt Nat OfNat.ofNat instAddNat instHAdd instLTNat instOfNatNat


Decidable Eq ite ite_eq_right_iff propext


Eq MeasurableSpace MeasureTheory.AEStronglyMeasurable MeasureTheory.Measure OpensMeasurableSpace SecondCountableTopology TopologicalSpace TopologicalSpace.PseudoMetrizableSpace True id


Eq MeasurableSpace MeasureTheory.AEStronglyMeasurable MeasureTheory.Measure TopologicalSpace True


Eq HMul.hMul Mul Norm Norm.norm NormMulClass Real Real.instMul instHMul


Classical.or_iff_not_imp_left Not Or propext


Bool Bool.true Eq cond instDecidableEqBool ite

Bool Bool.cond_prop Bool.true Eq cond instDecidableEqBool ite propext


Decidable Eq Not dite dite_eq_left_iff propext


Decidable Eq Not ite ite_eq_left_iff propext


Eq LinearOrder MeasureTheory.stoppedProcess Nonempty Set Set.indicator WithTop Zero


Eq MeasurableSet MeasurableSpace MeasurableSpace.map Set Set.preimage


Eq MeasurableSet MeasurableSpace Set.ofPred True


False HAdd.hAdd LE.le Nat OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Eq False Nat NeZero OfNat OfNat.ofNat Zero Zero.toOfNat0 instOfNatNat


Eq False HMul.hMul Mul Ne NoZeroDivisors OfNat.ofNat Zero Zero.toOfNat0 instHMul


DFunLike.coe Eq FunLike HMul.hMul Mul MulHomClass instHMul


Eq HSMul.hSMul IsScalarTower SMul instHSMul


Eq Monoid Units Units.ext_iff Units.val propext


Add Eq HAdd.hAdd IsLeftCancelAdd instHAdd

Add Eq HAdd.hAdd IsLeftCancelAdd add_right_inj instHAdd propext


Add Eq HAdd.hAdd IsRightCancelAdd instHAdd

Add Eq HAdd.hAdd IsRightCancelAdd add_left_inj instHAdd propext


Eq HMul.hMul IsLeftCancelMul Mul instHMul mul_right_inj propext


Eq HMul.hMul IsRightCancelMul Mul instHMul mul_left_inj propext


Add AddHomClass DFunLike.coe Eq FunLike HAdd.hAdd instHAdd


CommRing Group Nat Rep.diagonal_succ_projective


AddCommGroup AddCommGroup.toAddCommMonoid Module Monoid Rep Representation Semiring


HAdd.hAdd LE.le Nat instAddNat instHAdd instLENat


AddCommMonoid DFunLike.coe Eq LinearMap LinearMap.instFunLike Module RingHom Semiring Semiring.toNonAssocSemiring


AddCommGroup AddCommGroup.toAddCommMonoid And CommRing CommRing.toCommSemiring CommSemiring.toSemiring Eq Ideal IsAdicComplete IsHausdorff IsPrecomplete Module

AddCommGroup AddCommGroup.toAddCommMonoid And CommRing CommRing.toCommSemiring CommSemiring.toSemiring Ideal IsAdicComplete IsHausdorff IsPrecomplete Module isAdicComplete_iff propext


Eq HAdd.hAdd LE.le Nat instAddNat instHAdd instLENat


Eq GE.ge HAdd.hAdd HSub.hSub Nat OfNat.ofNat instAddNat instHAdd instHSub instLENat instOfNatNat instSubNat


Algebra Algebra.adjoin And CommSemiring Eq Exists Exists.intro Semiring Set Set.Finite Subalgebra

Algebra Algebra.adjoin And CommSemiring Eq Exists Exists.casesOn Exists.intro Semiring Set Set.Finite Subalgebra


Eq Fin Fin.val Fin.val_eq_val Nat propext


And Eq HEq Sigma Sigma.mk Sigma.mk.inj_iff propext


Algebra Algebra.Transcendental CommRing CommRing.toCommSemiring Eq Exists Ring Ring.toSemiring Transcendental


Eq Nat Polynomial Polynomial.coeff Semiring

Eq Nat Polynomial Polynomial.coeff Polynomial.ext_iff Semiring propext


Algebra AlgebraicIndependent CommRing CommRing.toCommSemiring CommSemiring.toSemiring Eq Subsingleton True


Algebra AlgebraicIndepOn CommRing CommRing.toCommSemiring CommSemiring.toSemiring Set Subtype Subtype.mk id


Eq HAdd.hAdd Nat Nat.iterate instAddNat instHAdd


AlgHom AlgHom.instPowWithConvNat Algebra Bialgebra Bialgebra.toAlgebra CommSemiring CommSemiring.toSemiring HAdd.hAdd HPow.hPow Nat OfNat.ofNat Semiring WithConv instAddNat instHAdd instHPow instOfNatNat rfl


Eq HAdd.hAdd HSub.hSub LT.lt Nat OfNat.ofNat instAddNat instHAdd instHSub instLTNat instOfNatNat instSubNat


Eq Fin Fin.val LT.lt Nat instLTFin instLTNat


AddCommMonoid Bot.bot Eq Module Semiring Submodule Submodule.IsPrincipal Submodule.instBot True


AddCommMonoid Eq LinearMap LinearMap.comp Module RingHom RingHomCompTriple Semiring Semiring.toNonAssocSemiring


AddCommMonoid Coalgebra CommSemiring CommSemiring.toSemiring GroupLike GroupLike.mk IsGroupLikeElem Module

AddCommMonoid Coalgebra CommSemiring CommSemiring.toSemiring GroupLike GroupLike.casesOn GroupLike.mk IsGroupLikeElem Module


Add Eq HAdd.hAdd HMul.hMul Mul RightDistribClass instHAdd instHMul


Add Eq HAdd.hAdd IsLeftCancelAdd instHAdd


DFunLike.coe Eq FunLike HMul.hMul Mul MulHomClass instHMul


Add AddHomClass DFunLike.coe Eq EquivLike FunLike Function.onFun Mul MulHomClass ProofWanted RingCon RingCon.comap ringConGen

Add AddHomClass DFunLike.coe Eq EquivLike FunLike Function.onFun Mul MulHomClass ProofWanted.mk RingCon RingCon.comap ringConGen


Eq.symm Nontrivial Not Subsingleton not_subsingleton_iff_nontrivial propext


Eq.symm Nontrivial Not Subsingleton not_nontrivial_iff_subsingleton propext


Add Mul Nontrivial RingCon RingCon.nontrivial_iff propext


Add AddHomClass DFunLike.coe Eq FunLike Mul MulHomClass RingCon RingCon.comap RingCon.instFunLikeForallProp


And Eq HAdd.hAdd Nat OfNat.ofNat Or instAddNat instHAdd instOfNatNat

And Eq HAdd.hAdd Nat Nat.add_eq_one_iff OfNat.ofNat Or instAddNat instHAdd instOfNatNat propext


Eq HMul.hMul Nat OfNat.ofNat Or instHMul instMulNat instOfNatNat

Eq HMul.hMul Nat Nat.mul_eq_zero OfNat.ofNat Or instHMul instMulNat instOfNatNat propext


CommSemiring IsCoprime isCoprime_comm propext


CommMonoid CommMonoid.toMonoid Eq IsRelPrime


Eq Monoid Units Units.ext_iff Units.val propext


Eq HMul.hMul HSMul.hSMul Mul instHMul instHSMul instSMulOfMul


AddCommMonoid DFunLike.coe Eq LinearMap LinearMap.instFunLike Module RingHom Semiring Semiring.toNonAssocSemiring


Eq Int Nat Nat.cast OfNat.ofNat instNatCastInt instOfNat instOfNatNat

Eq Int Int.natCast_eq_zero Nat Nat.cast OfNat.ofNat instNatCastInt instOfNat instOfNatNat propext


Decidable Eq ite ite_eq_right_iff propext


False HAdd.hAdd LT.lt Nat Not OfNat.ofNat instAddNat instHAdd instLTNat instOfNatNat


False HAdd.hAdd LT.lt List Nat Not OfNat.ofNat instAddNat instHAdd instLTNat instOfNatNat


Eq HAdd.hAdd Nat Nat.add_left_inj instAddNat instHAdd propext


Add AddHomClass DFunLike.coe Eq FunLike HAdd.hAdd instHAdd


Eq LE.le Nat OfNat.ofNat Or instLENat instOfNatNat

Eq LE.le Nat Nat.le_one_iff_eq_zero_or_eq_one OfNat.ofNat Or instLENat instOfNatNat propext


Eq False Nat Nat.factorial OfNat.ofNat instOfNatNat


And Eq Exists exists_exists_eq_and propext


AddCommGroup AddCommGroup.toAddCommMonoid And And.intro IsArtinian IsNoetherian Module Ring Ring.toSemiring


AddCommMonoid And And.intro Eq Exists Exists.intro Module Semiring Set Set.Finite Submodule Submodule.span


AddCommMonoid And Eq Exists Module Semiring Set Set.Finite Submodule Submodule.FG Submodule.span

AddCommMonoid And Eq Exists Module Semiring Set Set.Finite Submodule Submodule.FG Submodule.fg_def Submodule.span propext


AddCommMonoid Eq Exists Fin Module Nat Semiring Set.range Submodule Submodule.FG Submodule.span


AddCommMonoid Eq LinearMap LinearMap.comp LinearMap.ker Module RingHom RingHomCompTriple Semiring Semiring.toNonAssocSemiring Submodule Submodule.comap


AddCommMonoid And Eq Exists Exists.intro Module Semiring Set Set.Finite Submodule Submodule.span

AddCommMonoid And Eq Exists Exists.casesOn Exists.intro Module Semiring Set Set.Finite Submodule Submodule.span


Eq IsNilpotent IsReduced Nat OfNat.ofNat Pow Zero Zero.toOfNat0 isReduced_iff propext


DFunLike.coe Eq FunLike HSMul.hSMul MulActionHomClass SMul instHSMul


Eq False Nat NeZero OfNat OfNat.ofNat Zero Zero.toOfNat0 instOfNatNat


Eq False HMul.hMul Mul Ne NoZeroDivisors OfNat.ofNat Zero Zero.toOfNat0 instHMul


AddCommMonoid Eq LinearMap LinearMap.comp Module RingHom RingHomCompTriple RingHomSurjective Semiring Semiring.toNonAssocSemiring Submodule Submodule.map


Eq HMul.hMul Membership.mem Mul MulMemClass SetLike SetLike.instMembership True instHMul outParam


Algebra Algebra.adjoin And CommSemiring Eq Exists Semiring Set Set.Finite Subalgebra Subalgebra.FG Subalgebra.fg_def propext


Add AddMemClass Eq HAdd.hAdd Membership.mem SetLike SetLike.instMembership True instHAdd outParam


Eq HahnSeries HahnSeries.coeff PartialOrder Zero

Eq HahnSeries HahnSeries.coeff HahnSeries.ext_iff PartialOrder Zero propext


Add AddHomClass DFunLike.coe Eq FunLike HAdd.hAdd instHAdd


DFunLike.coe EmbeddingLike EmbeddingLike.apply_eq_iff_eq Eq FunLike propext


DFunLike.coe Eq OrderEmbedding Preorder Preorder.toLE instFunLikeOrderEmbedding


Eq HMul.hMul HSMul.hSMul Mul instHMul instHSMul instSMulOfMul


AddCommMonoid Eq LinearMap LinearMap.comp Module RingHom RingHomCompTriple Semiring Semiring.toNonAssocSemiring


AddCommMonoid CommSemiring CommSemiring.toSemiring Eq Ideal IsAssociatedPrime Membership.mem Module Set Set.instMembership associatedPrimes

AddCommMonoid AssociatedPrimes.mem_iff CommSemiring CommSemiring.toSemiring Ideal IsAssociatedPrime Membership.mem Module Set Set.instMembership associatedPrimes propext


HAdd.hAdd HSub.hSub LE.le Nat Not OfNat.ofNat instAddNat instHAdd instHSub instLENat instOfNatNat instSubNat


DFunLike.coe Eq FunLike HMul.hMul Mul MulHomClass instHMul


CommSemiring CommSemiring.toSemiring Eq Ideal PrimeSpectrum PrimeSpectrum.asIdeal


Add Eq HAdd.hAdd IsRightCancelAdd instHAdd

Add Eq HAdd.hAdd IsRightCancelAdd add_left_inj instHAdd propext


AddCommMonoid DFunLike.coe Eq LinearMap LinearMap.instFunLike Module RingHom Semiring Semiring.toNonAssocSemiring


And Eq Exists IsConcreteLE LE LE.le Membership.mem Not SetLike SetLike.instMembership


LT.lt Nat Ne OfNat.ofNat instLTNat instOfNatNat


Eq Exists Exists.intro HAdd.hAdd HMul.hMul HPow.hPow Nat Nat.pred instAddNat instHAdd instHMul instHPow instMulNat instNatPowNat instPowNat


Add Eq HAdd.hAdd IsLeftCancelAdd instHAdd

Add Eq HAdd.hAdd IsLeftCancelAdd add_right_inj instHAdd propext


Eq Int Int.natAbs Nat OfNat.ofNat instOfNat instOfNatNat

Eq Int Int.natAbs Int.natAbs_eq_zero Nat OfNat.ofNat instOfNat instOfNatNat propext


Eq IsUnit Nat Nat.instMonoid OfNat.ofNat instOfNatNat


And Eq Exists exists_exists_and_eq_and propext


Eq IsNilpotent IsReduced Nat OfNat.ofNat Pow Zero Zero.toOfNat0


HAdd.hAdd HSub.hSub LE.le Nat Not instAddNat instHAdd instHSub instLENat instSubNat


CovariantClass Eq HSMul.hSMul LE.le Preorder Preorder.toLE SMul True instHSMul


And Iff Not Or iff_iff_and_or_not_and_not propext


Eq HAdd.hAdd HSub.hSub Nat instAddNat instHAdd instHSub instSubNat


Eq HAdd.hAdd LE.le Nat instAddNat instHAdd instLENat


AddCommMonoid Bot.bot Eq Module Semiring Submodule Submodule.IsPrincipal Submodule.instBot True


And CommSemiring CommSemiring.toSemiring Distrib.toMul Eq HMul.hMul IsCoprime instDistribOfSemiring instHMul


DFunLike.coe Eq FunLike HMul.hMul Mul MulHomClass instHMul


Algebra Algebra.IsIntegral CommRing CommRing.toCommSemiring Eq IsIntegral Ring Ring.toSemiring True


Eq Monoid Units Units.ext_iff Units.val propext


Eq NonAssocSemiring RingHom RingHom.comp


DFunLike.coe Eq FunLike HSMul.hSMul MulActionHomClass SMul instHSMul


Add Eq HAdd.hAdd IsRightCancelAdd instHAdd


CommSemiring CommSemiring.toSemiring Eq Ideal PrimeSpectrum PrimeSpectrum.asIdeal


Nontrivial Not Subsingleton not_subsingleton_iff_nontrivial propext


Eq HAdd.hAdd Int Int.instAdd Nat NatCast.natCast Not instHAdd instNatCastInt


Eq Multiplicative WithZero WithZero.exp WithZero.exp_inj propext


AddMonoidWithOne AddMonoidWithOne.toNatCast CharZero Eq Nat Nat.cast


Eq HSMul.hSMul IsScalarTower SMul instHSMul


Eq IsUnit Membership.mem Monoid Not Set Set.instMembership nonunits

IsUnit Membership.mem Monoid Not Set Set.instMembership mem_nonunits_iff nonunits propext


Algebra Algebra.cast Algebra.toSMul CommSemiring Eq HSMul.hSMul IsScalarTower SMul Semiring instHSMul


Eq HMul.hMul HSMul.hSMul IsScalarTower Mul SMul instHMul instHSMul instSMulOfMul


Eq Nat Polynomial Polynomial.coeff Semiring

Eq Nat Polynomial Polynomial.coeff Polynomial.ext_iff Semiring propext


CommMagma CommMagma.toMul Eq IsLeftRegular IsRegular


Algebra CommSemiring CommSemiring.toSemiring Ideal IsLocalization MulZeroOneClass.toMulOneClass Submonoid instMulZeroOneClassOfSemiring


And Eq Exists exists_exists_eq_and propext


Eq Subsingleton True eq_iff_true_of_subsingleton propext


Associated Eq Int Int.instMonoid Int.natAbs Nat


Add Dvd.dvd Eq HAdd.hAdd LeftDistribClass Semigroup Semigroup.toMul True instHAdd semigroupDvd


Dvd.dvd Eq Monoid Monoid.toSemigroup Nat Not OfNat.ofNat instOfNatNat multiplicity semigroupDvd

Dvd.dvd Eq Monoid Monoid.toSemigroup Nat Not OfNat.ofNat instOfNatNat multiplicity multiplicity_eq_zero propext semigroupDvd


And DecidablePred Eq Exists LT.lt Nat Nat.find Not instLTNat

And DecidablePred Eq Exists LT.lt Nat Nat.find Nat.find_eq_iff Not instLTNat propext


DecidablePred Eq Exists LE.le LT.lt Nat Nat.find Not instLENat instLTNat


Decidable Eq Not dite dite_eq_right_iff propext


CommSemiring.toSemiring ENat Eq Monoid MulZeroClass.toZero Nat OfNat.ofNat Zero.toOfNat0 emultiplicity instCommSemiringENat instMulZeroClassOfSemiring instOfNatNat multiplicity


Dvd.dvd Eq Monoid Monoid.toSemigroup True semigroupDvd


And DecidablePred Eq Exists LT.lt Nat Nat.find instLTNat

And DecidablePred Exists LT.lt Nat Nat.find Nat.find_lt_iff instLTNat propext


Decidable Eq Not ite ite_eq_left_iff propext


DFunLike.coe EmbeddingLike EmbeddingLike.apply_eq_iff_eq Eq FunLike propext


Add Eq HAdd.hAdd IsRightCancelAdd instHAdd

Add Eq HAdd.hAdd IsRightCancelAdd add_left_inj instHAdd propext


Eq HAdd.hAdd HSub.hSub LT.lt Nat instAddNat instHAdd instHSub instLTNat instSubNat


Eq HAdd.hAdd Nat OfNat.ofNat instAddNat instHAdd instOfNatNat


Eq HAdd.hAdd LE.le Nat OfNat.ofNat instAddNat instHAdd instLENat instOfNatNat


Add Eq HAdd.hAdd IsLeftCancelAdd instHAdd

Add Eq HAdd.hAdd IsLeftCancelAdd add_right_inj instHAdd propext


Eq LE.le Nat Ne OfNat.ofNat instLENat instOfNatNat


Add CanonicallyOrderedAdd Eq Exists HAdd.hAdd LE LE.le instHAdd le_iff_exists_add propext


Decidable Eq ite ite_eq_right_iff propext


And Decidable Eq Not ite ite_eq_iff' propext


DFunLike.coe Eq FunLike HMul.hMul Mul MulHomClass instHMul


Add AddLeftMono AddLeftReflectLE Eq HAdd.hAdd LE LE.le instHAdd

Add AddLeftMono AddLeftReflectLE HAdd.hAdd LE LE.le add_le_add_iff_left instHAdd propext


Add AddRightMono AddRightReflectLE Eq HAdd.hAdd LE LE.le instHAdd

Add AddRightMono AddRightReflectLE HAdd.hAdd LE LE.le add_le_add_iff_right instHAdd propext


Eq Fin Fin.val LE.le Nat instLEFin instLENat


Add Eq HAdd.hAdd HSub.hSub LE LE.le OrderedSub Sub instHAdd instHSub


CommRing CommRing.toCommSemiring Finset MvPolynomial Nat Prod


Eq False NeZero OfNat.ofNat Zero Zero.toOfNat0


Eq HAdd.hAdd LE.le Nat instAddNat instHAdd instLENat


CommSemiring MvPowerSeries Option PowerSeries