trait BoolLattice[B] extends LatticeElement[B]
A lattice for booleans
Linear Supertypes
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Inherited
- BoolLattice
- LatticeElement
- Show
- Monoid
- Semigroup
- Order
- Equal
- AnyRef
- Any
Implicitly
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Visibility
- Public
- All
Type Members
- trait BoolLatticeLaw extends LatticeElementLaw
-
trait
EqualLaw extends AnyRef
- Definition Classes
- Equal
-
trait
MonoidLaw extends scalaz.Monoid.SemigroupLaw
- Definition Classes
- Monoid
-
trait
OrderLaw extends scalaz.Order.EqualLaw
- Definition Classes
- Order
-
trait
SemigroupApply extends Apply[[α]F]
- Attributes
- protected[this]
- Definition Classes
- Semigroup
-
trait
SemigroupCompose extends Compose[[α, β]F]
- Attributes
- protected[this]
- Definition Classes
- Semigroup
-
trait
SemigroupLaw extends AnyRef
- Definition Classes
- Semigroup
-
trait
LatticeElementLaw extends MonoidLaw with OrderLaw
- Definition Classes
- LatticeElement
Abstract Value Members
-
abstract
def
bottom: B
The bottom element
The bottom element
- Definition Classes
- LatticeElement
-
abstract
def
cardinality(x: B): Cardinality
- Definition Classes
- LatticeElement
-
abstract
def
eql[B](x: B, y: B)(implicit arg0: BoolLattice[B]): B
Equality check, returning an abstract result
Equality check, returning an abstract result
- Definition Classes
- LatticeElement
- abstract def inject(b: Boolean): B
- abstract def isFalse(b: B): Boolean
- abstract def isTrue(b: B): Boolean
-
abstract
def
join(x: B, y: ⇒ B): B
The join operation
The join operation
- Definition Classes
- LatticeElement
-
abstract
def
name: String
The name of the lattice
The name of the lattice
- Definition Classes
- LatticeElement
- abstract def not(b: B): B
-
abstract
def
order(x: B, y: B): Ordering
- Definition Classes
- Order
-
abstract
def
subsumes(x: B, y: ⇒ B): Boolean
The subsumption relation that defines the ordering of elements
The subsumption relation that defines the ordering of elements
- Definition Classes
- LatticeElement
-
abstract
def
top: B
The top element.
The top element.
- Definition Classes
- LatticeElement
Concrete Value Members
-
final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
def
+(other: String): String
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to any2stringadd[BoolLattice[B]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
-
def
->[B](y: B): (BoolLattice[B], B)
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to ArrowAssoc[BoolLattice[B]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
-
final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
append(x: B, y: ⇒ B): B
- Definition Classes
- LatticeElement → Semigroup
-
final
def
applicative: Applicative[[α]B]
- Definition Classes
- Monoid
-
final
def
apply: Apply[[α]B]
- Definition Classes
- Semigroup
-
def
apply(x: B, y: B): Ordering
- Definition Classes
- Order
-
final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
- val boolLatticeLaw: BoolLatticeLaw
-
final
def
category: Category[[α, β]B]
- Definition Classes
- Monoid
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate() @throws( ... )
-
final
def
compose: Compose[[α, β]B]
- Definition Classes
- Semigroup
-
def
contramap[B](f: (B) ⇒ B): Order[B]
- Definition Classes
- Order → Equal
-
def
ensuring(cond: (BoolLattice[B]) ⇒ Boolean, msg: ⇒ Any): BoolLattice[B]
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to Ensuring[BoolLattice[B]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: (BoolLattice[B]) ⇒ Boolean): BoolLattice[B]
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to Ensuring[BoolLattice[B]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean, msg: ⇒ Any): BoolLattice[B]
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to Ensuring[BoolLattice[B]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean): BoolLattice[B]
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to Ensuring[BoolLattice[B]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
equal(x: B, y: B): Boolean
- Definition Classes
- Order → Equal
-
def
equalIsNatural: Boolean
- Definition Classes
- Equal
-
def
equalLaw: EqualLaw
- Definition Classes
- Equal
-
val
equalSyntax: EqualSyntax[B]
- Definition Classes
- Equal
-
def
equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to StringFormat[BoolLattice[B]] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
-
final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
def
greaterThan(x: B, y: B): Boolean
- Definition Classes
- Order
-
def
greaterThanOrEqual(x: B, y: B): Boolean
- Definition Classes
- Order
-
def
hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
ifEmpty[B](a: B)(t: ⇒ B)(f: ⇒ B)(implicit eq: Equal[B]): B
- Definition Classes
- Monoid
-
final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
-
def
isMZero(a: B)(implicit eq: Equal[B]): Boolean
- Definition Classes
- Monoid
-
def
latticeElementLaw: LatticeElementLaw
- Definition Classes
- LatticeElement
-
def
lessThan(x: B, y: B): Boolean
- Definition Classes
- Order
-
def
lessThanOrEqual(x: B, y: B): Boolean
- Definition Classes
- Order
-
def
max(x: B, y: B): B
- Definition Classes
- Order
-
def
min(x: B, y: B): B
- Definition Classes
- Order
-
def
monoidLaw: MonoidLaw
- Definition Classes
- Monoid
-
val
monoidSyntax: MonoidSyntax[B]
- Definition Classes
- Monoid
-
def
multiply(value: B, n: Int): B
- Definition Classes
- Monoid
-
def
multiply1(value: B, n: Int): B
- Definition Classes
- Semigroup
-
final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
onEmpty[A, B](a: B)(v: ⇒ B)(implicit eq: Equal[B], mb: Monoid[B]): B
- Definition Classes
- Monoid
-
final
def
onNotEmpty[B](a: B)(v: ⇒ B)(implicit eq: Equal[B], mb: Monoid[B]): B
- Definition Classes
- Monoid
-
def
orderLaw: OrderLaw
- Definition Classes
- Order
-
val
orderSyntax: OrderSyntax[B]
- Definition Classes
- Order
-
def
reverseOrder: Order[B]
- Definition Classes
- Order
-
def
semigroupLaw: SemigroupLaw
- Definition Classes
- Semigroup
-
val
semigroupSyntax: SemigroupSyntax[B]
- Definition Classes
- Semigroup
-
def
show(f: B): Cord
- Definition Classes
- Show
-
val
showSyntax: ShowSyntax[B]
- Definition Classes
- Show
-
def
shows(f: B): String
- Definition Classes
- Show
-
def
sort(x: B, y: B): (B, B)
- Definition Classes
- Order
-
final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
-
def
toScalaOrdering: Ordering[B]
- Definition Classes
- Order
-
def
toString(): String
- Definition Classes
- AnyRef → Any
-
final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
-
final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
zero: B
- Definition Classes
- LatticeElement → Monoid
-
def
→[B](y: B): (BoolLattice[B], B)
- Implicit
- This member is added by an implicit conversion from BoolLattice[B] to ArrowAssoc[BoolLattice[B]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc