OrderedAbelianSemiGroupΒΆ

catdef.spad line 961

Ordered sets which are also abelian semigroups, such that the addition preserves the ordering. `` x < y => x+z < y+z``

*: (PositiveInteger, %) -> %
from AbelianSemiGroup
+: (%, %) -> %
from AbelianSemiGroup
<: (%, %) -> Boolean
from PartialOrder
<=: (%, %) -> Boolean
from PartialOrder
=: (%, %) -> Boolean
from BasicType
>: (%, %) -> Boolean
from PartialOrder
>=: (%, %) -> Boolean
from PartialOrder
~=: (%, %) -> Boolean
from BasicType
coerce: % -> OutputForm
from CoercibleTo OutputForm
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
latex: % -> String
from SetCategory
max: (%, %) -> %
from OrderedSet
min: (%, %) -> %
from OrderedSet
smaller?: (%, %) -> Boolean
from Comparable

AbelianSemiGroup

BasicType

CoercibleTo OutputForm

Comparable

OrderedSet

PartialOrder

SetCategory