Packages

trait BoolLatticeLaw extends LatticeElementLaw

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Inherited
  1. BoolLatticeLaw
  2. LatticeElementLaw
  3. OrderLaw
  4. EqualLaw
  5. MonoidLaw
  6. SemigroupLaw
  7. AnyRef
  8. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
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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 BoolLatticeLaw to any2stringadd[BoolLatticeLaw] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (BoolLatticeLaw, B)
    Implicit
    This member is added by an implicit conversion from BoolLatticeLaw to ArrowAssoc[BoolLatticeLaw] 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: B, f2: B): Boolean
    Definition Classes
    OrderLaw
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def associative(f1: B, f2: B, f3: B)(implicit F: Equal[B]): Boolean
    Definition Classes
    SemigroupLaw
  9. def bottomLowerBound(a: B): Boolean

    Bottom is the lower bound ∀ a: ⊥ ⊑ a

    Bottom is the lower bound ∀ a: ⊥ ⊑ a

    Definition Classes
    LatticeElementLaw
  10. def bottomNotTrueNorFalse: Boolean

    Bottom is neither true nor false ¬isTrue(⊥) ∧ ¬isFalse(⊥)

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

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

    Inject preserves truthiness isTrue(inject(true)) ∧ isFalse(inject(false))

  24. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  25. def joinAssociative(a: B, b: B, c: B): Boolean

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

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

    Definition Classes
    LatticeElementLaw
  26. def joinCommutative(a: B, b: B): Boolean

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

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

    Definition Classes
    LatticeElementLaw
  27. def joinIdempotent(a: B): Boolean

    Join is idempotent ∀ a: a ⊔ a = a

    Join is idempotent ∀ a: a ⊔ a = a

    Definition Classes
    LatticeElementLaw
  28. def joinSubsumesCompatible(a: B, b: B): Boolean

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

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

    Definition Classes
    LatticeElementLaw
  29. def leftIdentity(a: B)(implicit F: Equal[B]): Boolean
    Definition Classes
    MonoidLaw
  30. def naturality(f1: B, f2: B): Boolean
    Definition Classes
    EqualLaw
  31. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  32. def notInvolutive(a: B): Boolean

    Not is involutive ∀ a: not(not(a)) == a

  33. def notReversesTruthiness(a: B): Boolean

    Not reverses truthiness ∀ a: isTrue(a) ⇒ isFalse(not(a)) ∧ isFalse(a) ⇒ isTrue(not(a))

  34. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  35. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  36. def orderAndEqualConsistent(f1: B, f2: B): Boolean
    Definition Classes
    OrderLaw
  37. def reflexive(f: B): Boolean
    Definition Classes
    EqualLaw
  38. def rightIdentity(a: B)(implicit F: Equal[B]): Boolean
    Definition Classes
    MonoidLaw
  39. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  40. def toString(): String
    Definition Classes
    AnyRef → Any
  41. def topTrueAndFalse: Boolean

    Top is both true and false (when defined) isTrue(⊤) ∧ isFalse(⊤)

  42. def topUpperBound(a: B): Boolean

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

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

    Definition Classes
    LatticeElementLaw
  43. def transitive(f1: B, f2: B, f3: B): Boolean
    Definition Classes
    EqualLaw
  44. def transitiveOrder(f1: B, f2: B, f3: B): Boolean
    Definition Classes
    OrderLaw
  45. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  47. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  48. def →[B](y: B): (BoolLatticeLaw, B)
    Implicit
    This member is added by an implicit conversion from BoolLatticeLaw to ArrowAssoc[BoolLatticeLaw] 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 BoolLattice.LatticeElementLaw

Inherited from BoolLattice.OrderLaw

Inherited from BoolLattice.EqualLaw

Inherited from BoolLattice.MonoidLaw

Inherited from BoolLattice.SemigroupLaw

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped