algebra.laws

LatticeLaws

trait LatticeLaws[A] extends GroupLaws[A]

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

  2. implicit abstract def Equ: Eq[A]

    Definition Classes
    LatticeLaws → GroupLaws

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 boundedAboveLattice(implicit A: Lattice[A] with BoundedMeetSemilattice[A]): LatticeProperties

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

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

    Definition Classes
    GroupLaws

  20. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  21. def commutativeGroup(implicit A: CommutativeGroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  22. def commutativeMonoid(implicit A: CommutativeMonoid[A]): GroupProperties

    Definition Classes
    GroupLaws

  23. def commutativeSemigroup(implicit A: CommutativeSemigroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  24. def emptyRuleSet: RuleSet

    Definition Classes
    Laws

  25. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  26. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  27. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  28. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  29. def group(implicit A: Group[A]): GroupProperties

    Definition Classes
    GroupLaws

  30. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  31. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  32. def joinSemilattice(implicit A: JoinSemilattice[A]): LatticeProperties

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

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

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

    Definition Classes
    GroupLaws

  36. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  37. final def notify(): Unit

    Definition Classes
    AnyRef

  38. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  39. def semigroup(implicit A: Semigroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  40. def semilattice(implicit A: Semilattice[A]): GroupProperties

    Definition Classes
    GroupLaws

  41. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  42. def toString(): String

    Definition Classes
    AnyRef → Any

  43. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  44. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  45. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

Ungrouped