Boolean

boolean.spad line 40 [edit on github]

Boolean is the elementary logic with 2 values: true and false

/\: (%, %) -> %

from MeetSemilattice

<=: (%, %) -> Boolean

from PartialOrder

<: (%, %) -> Boolean

from PartialOrder

=: (%, %) -> Boolean

from BasicType

>=: (%, %) -> Boolean

from PartialOrder

>: (%, %) -> Boolean

from PartialOrder

\/: (%, %) -> %

from JoinSemilattice

_|_: %

from BoundedJoinSemilattice

~=: (%, %) -> Boolean

from BasicType

~: % -> %

from Logic

and: (%, %) -> %

a and b returns the logical and of Boolean a and b.

coerce: % -> OutputForm

from CoercibleTo OutputForm

convert: % -> InputForm

from ConvertibleTo InputForm

enumerate: () -> List %

from Finite

false: %

from Logic

hash: % -> SingleInteger

from Hashable

hashUpdate!: (HashState, %) -> HashState

from Hashable

implies: (%, %) -> %

implies(a, b) returns the logical implication of Boolean a and b.

index: PositiveInteger -> %

from Finite

latex: % -> String

from SetCategory

lookup: % -> PositiveInteger

from Finite

max: (%, %) -> %

from OrderedSet

min: (%, %) -> %

from OrderedSet

nand: (%, %) -> %

nand(a, b) returns the logical negation of a and b.

nor: (%, %) -> %

nor(a, b) returns the logical negation of a or b.

not: % -> %

not n returns the negation of n.

or: (%, %) -> %

a or b returns the logical inclusive or of Boolean a and b.

random: () -> %

from Finite

size: () -> NonNegativeInteger

from Finite

smaller?: (%, %) -> Boolean

from Comparable

T: %

from BoundedMeetSemilattice

test: % -> Boolean

test(b) returns b and is provided for compatibility with the new compiler.

true: %

from Logic

xor: (%, %) -> %

xor(a, b) returns the logical exclusive or of Boolean a and b.

BasicType

BoundedDistributiveLattice

BoundedJoinSemilattice

BoundedLattice

BoundedMeetSemilattice

CoercibleTo OutputForm

Comparable

ConvertibleTo InputForm

DistributiveLattice

Finite

Hashable

JoinSemilattice

Lattice

Logic

MeetSemilattice

OrderedSet

PartialOrder

SetCategory