Packages

trait LatticeElementLaw extends MonoidLaw with OrderLaw

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Inherited
  1. LatticeElementLaw
  2. OrderLaw
  3. EqualLaw
  4. MonoidLaw
  5. SemigroupLaw
  6. AnyRef
  7. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
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Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to any2stringadd[LatticeElementLaw] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (LatticeElementLaw, B)
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to ArrowAssoc[LatticeElementLaw] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def antisymmetric(f1: L, f2: L): Boolean
    Definition Classes
    OrderLaw
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def associative(f1: L, f2: L, f3: L)(implicit F: Equal[L]): Boolean
    Definition Classes
    SemigroupLaw
  9. def bottomLowerBound(a: L): Boolean

    Bottom is the lower bound ∀ a: ⊥ ⊑ a

  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate() @throws( ... )
  11. def commutative(f1: L, f2: L): Boolean
    Definition Classes
    EqualLaw
  12. def ensuring(cond: (LatticeElementLaw) ⇒ Boolean, msg: ⇒ Any): LatticeElementLaw
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to Ensuring[LatticeElementLaw] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: (LatticeElementLaw) ⇒ Boolean): LatticeElementLaw
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to Ensuring[LatticeElementLaw] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean, msg: ⇒ Any): LatticeElementLaw
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to Ensuring[LatticeElementLaw] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean): LatticeElementLaw
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to Ensuring[LatticeElementLaw] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  17. def eqlIsTrue(a: L): Boolean

    Equal elements are always eql if they're not bottom.

    Equal elements are always eql if they're not bottom. ∀ a: a = bottom ∨ isTrue(eql(a, a))

  18. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  19. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to StringFormat[LatticeElementLaw] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  20. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  23. def joinAssociative(a: L, b: L, c: L): Boolean

    Join is associative ∀ a, b, c: (a ⊔ b) ⊔ c = a ⊔ (b ⊔ c)

  24. def joinCommutative(a: L, b: L): Boolean

    Join is commutative ∀ a, b: a ⊔ b = b ⊔ a

  25. def joinIdempotent(a: L): Boolean

    Join is idempotent ∀ a: a ⊔ a = a

  26. def joinSubsumesCompatible(a: L, b: L): Boolean

    Join and subsumes are compatible ∀ a, b: a ⊑ b ⇒ a ⊔ b = b

  27. def leftIdentity(a: L)(implicit F: Equal[L]): Boolean
    Definition Classes
    MonoidLaw
  28. def naturality(f1: L, f2: L): Boolean
    Definition Classes
    EqualLaw
  29. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  30. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  31. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. def orderAndEqualConsistent(f1: L, f2: L): Boolean
    Definition Classes
    OrderLaw
  33. def reflexive(f: L): Boolean
    Definition Classes
    EqualLaw
  34. def rightIdentity(a: L)(implicit F: Equal[L]): Boolean
    Definition Classes
    MonoidLaw
  35. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  36. def toString(): String
    Definition Classes
    AnyRef → Any
  37. def topUpperBound(a: L): Boolean

    Top is the upper bound (when defined) ∀ a: a ⊑ ⊤

  38. def transitive(f1: L, f2: L, f3: L): Boolean
    Definition Classes
    EqualLaw
  39. def transitiveOrder(f1: L, f2: L, f3: L): Boolean
    Definition Classes
    OrderLaw
  40. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  41. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  42. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. def [B](y: B): (LatticeElementLaw, B)
    Implicit
    This member is added by an implicit conversion from LatticeElementLaw to ArrowAssoc[LatticeElementLaw] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from LatticeElement.OrderLaw

Inherited from LatticeElement.EqualLaw

Inherited from LatticeElement.MonoidLaw

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from LatticeElementLaw to any2stringadd[LatticeElementLaw]

Inherited by implicit conversion StringFormat from LatticeElementLaw to StringFormat[LatticeElementLaw]

Inherited by implicit conversion Ensuring from LatticeElementLaw to Ensuring[LatticeElementLaw]

Inherited by implicit conversion ArrowAssoc from LatticeElementLaw to ArrowAssoc[LatticeElementLaw]

Ungrouped