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 LatticeElement.SemigroupLaw

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