License	BSD-style (see the file LICENSE)
Maintainer	sjoerd@w3future.com
Stability	experimental
Portability	non-portable
Safe Haskell	Safe
Language	Haskell2010

Data.Category.Void

Description

Documentation

Instances

Category Void Source #	`Void` is the category with no objects.
Instance details Defined in Data.Category.Void Methods src :: Void a b -> Obj Void a Source # tgt :: Void a b -> Obj Void b Source # (.) :: Void b c -> Void a b -> Void a c Source #
HasInitialObject k => HasColimits Void k Source #	An initial object is the colimit of the functor from 0 to k.
Instance details Defined in Data.Category.Limit Methods colimit :: Obj (Nat Void k) f -> Cocone f (Colimit f) Source # colimitFactorizer :: Obj (Nat Void k) f -> Cocone f n -> k (Colimit f) n Source #
HasTerminalObject k => HasLimits Void k Source #	A terminal object is the limit of the functor from 0 to k.
Instance details Defined in Data.Category.Limit Methods limit :: Obj (Nat Void k) f -> Cone f (Limit f) Source # limitFactorizer :: Obj (Nat Void k) f -> Cone f n -> k n (Limit f) Source #
type ColimitFam Void k f Source #
Instance details Defined in Data.Category.Limit type ColimitFam Void k f = InitialObject k
type LimitFam Void k f Source #
Instance details Defined in Data.Category.Limit type LimitFam Void k f = TerminalObject k

voidNat :: (Functor f, Functor g, Dom f ~ Void, Dom g ~ Void, Cod f ~ d, Cod g ~ d) => f -> g -> Nat Void d f g Source #

data Magic (k :: * -> * -> *) Source #

Constructors

Instances

Category k => Functor (Magic k) Source #	Since there is nothing to map in `Void`, there's a functor from it to any other category.
Instance details Defined in Data.Category.Void Associated Types type Dom (Magic k) :: Type -> Type -> Type Source # type Cod (Magic k) :: Type -> Type -> Type Source # type (Magic k) :% a :: Type Source # Methods (%) :: Magic k -> Dom (Magic k) a b -> Cod (Magic k) (Magic k :% a) (Magic k :% b) Source #
type Dom (Magic k) Source #
Instance details Defined in Data.Category.Void type Dom (Magic k) = Void
type Cod (Magic k) Source #
Instance details Defined in Data.Category.Void type Cod (Magic k) = k