Safe Haskell | Safe-Infered |
---|
In this module we provide a way to canonically define a totally
ordered set with a given number of elements. These types have a
custom
instances so that their elements are displayed with
usual decimal number.
Show
= {Succ
One
, First
} = {1,2}
Succ
One
= {Succ
Succ
One
, First
, Succ
First
} = {1,2,3}
Succ
Succ
One
...
Documentation
A set with one element.
If n
is a set with n elements,
is a set with n+1 elements.
Succ
n
Monad Succ | |
Functor Succ | |
(Ordinal m, Ordinal n, Prod m n, Sum m (:*: m n), Ordinal (:+: m (:*: m n))) => Prod m (Succ n) | |
(Ordinal m, Ordinal n, Ordinal (:+: m n), Sum m n) => Sum m (Succ n) | |
Bounded n => Bounded (Succ n) | |
(Bounded n, Enum n, Ordinal n) => Enum (Succ n) | |
Eq n => Eq (Succ n) | |
Ord n => Ord (Succ n) | |
Ordinal n => Show (Succ n) | |
Cardinality n => Cardinality (Succ n) | |
Ordinal n => Ordinal (Succ n) |
class (Cardinality n, Ord n) => Ordinal n whereSource
Class of ordered sets with n elements. The methods in this class provide a convenient way to convert to and from a numeric type.
module Data.TypeAlgebra