Data.Type.Coercion.Sub.Internal

This module exposes internals of Data.Type.Coercion.Sub.

Using this module allows to violate the premises Sub type provides. It is advisable not to import this module if there is another way, and to limit the amount of code accesible to this module.

Documentation

newtype Sub (a :: k) (b :: k)

Sub is a newtype wrapper around Coercion, but made opaque to hide the ability to coerce into other direction.

This is convenient for newtype wrappers which give additional guarantees.

You can make Sub witnesses by using combinators in this module, or the methods of the Category Sub instance: id and (.).

Constructors

Sub

Fields

• getSub :: Coercion a b

Instances

Category (Sub :: k -> k -> Type)

Defined in Data.Type.Coercion.Sub.Internal

Methods

id :: forall (a :: k0). Sub a a

(.) :: forall (b :: k0) (c :: k0) (a :: k0). Sub b c -> Sub a b -> Sub a c

Coercible a b => Bounded (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

minBound :: Sub a b

maxBound :: Sub a b

Coercible a b => Enum (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

succ :: Sub a b -> Sub a b

pred :: Sub a b -> Sub a b

toEnum :: Int -> Sub a b

fromEnum :: Sub a b -> Int

enumFrom :: Sub a b -> [Sub a b]

enumFromThen :: Sub a b -> Sub a b -> [Sub a b]

enumFromTo :: Sub a b -> Sub a b -> [Sub a b]

enumFromThenTo :: Sub a b -> Sub a b -> Sub a b -> [Sub a b]

Eq (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

(==) :: Sub a b -> Sub a b -> Bool

(/=) :: Sub a b -> Sub a b -> Bool

Ord (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

compare :: Sub a b -> Sub a b -> Ordering

(<) :: Sub a b -> Sub a b -> Bool

(<=) :: Sub a b -> Sub a b -> Bool

(>) :: Sub a b -> Sub a b -> Bool

(>=) :: Sub a b -> Sub a b -> Bool

max :: Sub a b -> Sub a b -> Sub a b

min :: Sub a b -> Sub a b -> Sub a b

Coercible a b => Read (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

readsPrec :: Int -> ReadS (Sub a b)

readList :: ReadS [Sub a b]

readPrec :: ReadPrec (Sub a b)

readListPrec :: ReadPrec [Sub a b]

Show (Sub a b)

Defined in Data.Type.Coercion.Sub.Internal

Methods

showsPrec :: Int -> Sub a b -> ShowS

show :: Sub a b -> String

showList :: [Sub a b] -> ShowS