algebra.laws

LatticeLaws

trait LatticeLaws[A] extends GroupLaws[A]

Linear Supertypes
GroupLaws[A], Laws, AnyRef, Any
Known Subclasses
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Inherited
  1. LatticeLaws
  2. GroupLaws
  3. Laws
  4. AnyRef
  5. Any
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Type Members

  1. class AdditiveProperties extends RuleSet

    Definition Classes
    GroupLaws
  2. class DefaultRuleSet extends RuleSet with HasOneParent

    Definition Classes
    Laws
  3. class GroupProperties extends RuleSet

    Definition Classes
    GroupLaws
  4. trait HasOneParent extends AnyRef

    Definition Classes
    Laws
  5. class LatticeProperties extends RuleSet

  6. trait RuleSet extends AnyRef

    Definition Classes
    Laws
  7. class SimpleRuleSet extends DefaultRuleSet

    Definition Classes
    Laws

Abstract Value Members

  1. implicit abstract def Arb: Arbitrary[A]

    Definition Classes
    LatticeLawsGroupLaws
  2. implicit abstract def Equ: Eq[A]

    Definition Classes
    LatticeLawsGroupLaws

Concrete Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

    Definition Classes
    AnyRef → Any
  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  6. def additiveCommutativeGroup(implicit A: AdditiveCommutativeGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  7. def additiveCommutativeMonoid(implicit A: AdditiveCommutativeMonoid[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  8. def additiveCommutativeSemigroup(implicit A: AdditiveCommutativeSemigroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  9. def additiveGroup(implicit A: AdditiveGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  10. def additiveMonoid(implicit A: AdditiveMonoid[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  11. def additiveSemigroup(implicit A: AdditiveSemigroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  12. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  13. def band(implicit A: Band[A]): GroupProperties

    Definition Classes
    GroupLaws
  14. def boundedDistributiveLattice(implicit A: BoundedDistributiveLattice[A]): LatticeProperties

  15. def boundedJoinLattice(implicit A: Lattice[A] with BoundedJoinSemilattice[A]): LatticeProperties

  16. def boundedJoinSemilattice(implicit A: BoundedJoinSemilattice[A]): LatticeProperties

  17. def boundedLattice(implicit A: BoundedLattice[A]): LatticeProperties

  18. def boundedMeetLattice(implicit A: Lattice[A] with BoundedMeetSemilattice[A]): LatticeProperties

  19. def boundedMeetSemilattice(implicit A: BoundedMeetSemilattice[A]): LatticeProperties

  20. def boundedSemilattice(implicit A: BoundedSemilattice[A]): GroupProperties

    Definition Classes
    GroupLaws
  21. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  22. def commutativeGroup(implicit A: CommutativeGroup[A]): GroupProperties

    Definition Classes
    GroupLaws
  23. def commutativeMonoid(implicit A: CommutativeMonoid[A]): GroupProperties

    Definition Classes
    GroupLaws
  24. def commutativeSemigroup(implicit A: CommutativeSemigroup[A]): GroupProperties

    Definition Classes
    GroupLaws
  25. def distributiveLattice(implicit A: DistributiveLattice[A]): LatticeProperties

  26. def emptyRuleSet: RuleSet

    Definition Classes
    Laws
  27. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  28. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  29. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  30. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  31. def group(implicit A: Group[A]): GroupProperties

    Definition Classes
    GroupLaws
  32. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  33. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  34. def joinSemilattice(implicit A: JoinSemilattice[A]): LatticeProperties

  35. def lattice(implicit A: Lattice[A]): LatticeProperties

  36. def meetSemilattice(implicit A: MeetSemilattice[A]): LatticeProperties

  37. def monoid(implicit A: Monoid[A]): GroupProperties

    Definition Classes
    GroupLaws
  38. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  39. final def notify(): Unit

    Definition Classes
    AnyRef
  40. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  41. def semigroup(implicit A: Semigroup[A]): GroupProperties

    Definition Classes
    GroupLaws
  42. def semilattice(implicit A: Semilattice[A]): GroupProperties

    Definition Classes
    GroupLaws
  43. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  44. def toString(): String

    Definition Classes
    AnyRef → Any
  45. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

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