trait BoundedDistributiveLattice[A] extends BoundedLattice[A] with DistributiveLattice[A]

A bounded distributive lattice is a lattice that both bounded and distributive

Self Type
BoundedDistributiveLattice[A]
Source
BoundedDistributiveLattice.scala
Linear Supertypes
DistributiveLattice[A], BoundedLattice[A], BoundedJoinSemilattice[A], BoundedMeetSemilattice[A], Lattice[A], MeetSemilattice[A], JoinSemilattice[A], Serializable, Serializable, Any
Known Subclasses
BooleanAlgebra, Bool, BoolFromBoolRing, DeMorgan, DualBool, Heyting, Logic, MinMaxBoundedDistributiveLattice
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. BoundedDistributiveLattice
  2. DistributiveLattice
  3. BoundedLattice
  4. BoundedJoinSemilattice
  5. BoundedMeetSemilattice
  6. Lattice
  7. MeetSemilattice
  8. JoinSemilattice
  9. Serializable
  10. Serializable
  11. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def getClass(): Class[_]
    Definition Classes
    Any
  2. abstract def join(lhs: A, rhs: A): A
    Definition Classes
    JoinSemilattice
  3. abstract def meet(lhs: A, rhs: A): A
    Definition Classes
    MeetSemilattice
  4. abstract def one: A
    Definition Classes
    BoundedMeetSemilattice
  5. abstract def zero: A
    Definition Classes
    BoundedJoinSemilattice

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##(): Int
    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    Any
  4. def asCommutativeRig: CommutativeRig[A]

    Return a CommutativeRig using join and meet.

    Return a CommutativeRig using join and meet. Note this must obey the commutative rig laws since meet(a, one) = a, and meet and join are associative, commutative and distributive.

  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def dual: BoundedDistributiveLattice[A]

    This is the lattice with meet and join swapped

    This is the lattice with meet and join swapped

    Definition Classes
    BoundedDistributiveLattice → BoundedLattice → Lattice
  7. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  8. def hashCode(): Int
    Definition Classes
    Any
  9. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  10. def isOne(a: A)(implicit ev: Eq[A]): Boolean
    Definition Classes
    BoundedMeetSemilattice
  11. def isZero(a: A)(implicit ev: Eq[A]): Boolean
    Definition Classes
    BoundedJoinSemilattice
  12. def joinPartialOrder(implicit ev: Eq[A]): PartialOrder[A]
    Definition Classes
    JoinSemilattice
  13. def joinSemilattice: BoundedSemilattice[A]
    Definition Classes
    BoundedJoinSemilattice → JoinSemilattice
  14. def meetPartialOrder(implicit ev: Eq[A]): PartialOrder[A]
    Definition Classes
    MeetSemilattice
  15. def meetSemilattice: BoundedSemilattice[A]
    Definition Classes
    BoundedMeetSemilattice → MeetSemilattice
  16. def toString(): String
    Definition Classes
    Any

Inherited from DistributiveLattice[A]

Inherited from BoundedLattice[A]

Inherited from BoundedJoinSemilattice[A]

Inherited from BoundedMeetSemilattice[A]

Inherited from Lattice[A]

Inherited from MeetSemilattice[A]

Inherited from JoinSemilattice[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped