Module
Control.Category
- Package
- prelude
- Repository
- purerl/purescript-prelude
#Category Source
class (Semigroupoid a) <= Category a where
Category
s consist of objects and composable morphisms between them, and
as such are Semigroupoids
, but unlike semigroupoids
must have an identity element.
Instances must satisfy the following law in addition to the
Semigroupoid
law:
- Identity:
identity <<< p = p <<< identity = p
Members
identity :: forall t. a t t
Instances
Re-exports from Control.Semigroupoid
#Semigroupoid Source
class Semigroupoid a where
A Semigroupoid
is similar to a Category
but does not
require an identity element identity
, just composable morphisms.
Semigroupoid
s must satisfy the following law:
- Associativity:
p <<< (q <<< r) = (p <<< q) <<< r
One example of a Semigroupoid
is the function type constructor (->)
,
with (<<<)
defined as function composition.
Members
compose :: forall d c b. a c d -> a b c -> a b d
Instances
- Modules
- Control.
Applicative - Control.
Apply - Control.
Bind - Control.
Category - Control.
Monad - Control.
Semigroupoid - Data.
Boolean - Data.
BooleanAlgebra - Data.
Bounded - Data.
CommutativeRing - Data.
DivisionRing - Data.
Eq - Data.
EuclideanRing - Data.
Field - Data.
Function - Data.
Functor - Data.
HeytingAlgebra - Data.
Monoid - Data.
Monoid. Additive - Data.
Monoid. Conj - Data.
Monoid. Disj - Data.
Monoid. Dual - Data.
Monoid. Endo - Data.
Monoid. Multiplicative - Data.
NaturalTransformation - Data.
Ord - Data.
Ord. Unsafe - Data.
Ordering - Data.
Ring - Data.
Semigroup - Data.
Semigroup. First - Data.
Semigroup. Last - Data.
Semiring - Data.
Show - Data.
Symbol - Data.
Unit - Data.
Void - Prelude
- Record.
Unsafe - Type.
Data. Row - Type.
Data. RowList