Safe Haskell	None
Language	Haskell2010

Proarrow.Category.Instance.Constraint

Documentation

newtype CONSTRAINT Source Comments #

Constructors

CNSTRNT Constraint

Instances

Instances details

Monoidal CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type Unit
Instance details Defined in Proarrow.Category.Instance.Constraint type Unit = TerminalObject :: CONSTRAINT
type (a :: CONSTRAINT) ** (b :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type (a :: CONSTRAINT) ** (b :: CONSTRAINT) = a && b

Methods

leftUnitor :: forall (a :: CONSTRAINT). Ob a => ((Unit :: CONSTRAINT) ** a) ~> a Source Comments #

leftUnitorInv :: forall (a :: CONSTRAINT). Ob a => a ~> ((Unit :: CONSTRAINT) ** a) Source Comments #

rightUnitor :: forall (a :: CONSTRAINT). Ob a => (a ** (Unit :: CONSTRAINT)) ~> a Source Comments #

rightUnitorInv :: forall (a :: CONSTRAINT). Ob a => a ~> (a ** (Unit :: CONSTRAINT)) Source Comments #

associator :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) (c :: CONSTRAINT). (Ob a, Ob b, Ob c) => ((a ** b) ** c) ~> (a ** (b ** c)) Source Comments #

associatorInv :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) (c :: CONSTRAINT). (Ob a, Ob b, Ob c) => (a ** (b ** c)) ~> ((a ** b) ** c) Source Comments #

SymMonoidal CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

swap' :: forall (a :: CONSTRAINT) (a' :: CONSTRAINT) (b :: CONSTRAINT) (b' :: CONSTRAINT). (a ~> a') -> (b ~> b') -> (a ** b) ~> (b' ** a') Source Comments #

CategoryOf CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type (~>)
Instance details Defined in Proarrow.Category.Instance.Constraint type (~>) = (:-)
type Ob (a :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type Ob (a :: CONSTRAINT) = Is 'CNSTRNT a

HasBinaryProducts CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type ('CNSTRNT l :: CONSTRAINT) && ('CNSTRNT r :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type ('CNSTRNT l :: CONSTRAINT) && ('CNSTRNT r :: CONSTRAINT) = 'CNSTRNT (l, r)

Methods

fst :: forall (a :: CONSTRAINT) (b :: CONSTRAINT). (Ob a, Ob b) => (a && b) ~> a Source Comments #

fst' :: forall (a :: CONSTRAINT) (a' :: CONSTRAINT) (b :: CONSTRAINT). (a ~> a') -> Obj b -> (a && b) ~> a' Source Comments #

snd :: forall (a :: CONSTRAINT) (b :: CONSTRAINT). (Ob a, Ob b) => (a && b) ~> b Source Comments #

snd' :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) (b' :: CONSTRAINT). Obj a -> (b ~> b') -> (a && b) ~> b' Source Comments #

(&&&) :: forall (a :: CONSTRAINT) (x :: CONSTRAINT) (y :: CONSTRAINT). (a ~> x) -> (a ~> y) -> a ~> (x && y) Source Comments #

(***) :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) (x :: CONSTRAINT) (y :: CONSTRAINT). (a ~> x) -> (b ~> y) -> (a && b) ~> (x && y) Source Comments #

Closed CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type ('CNSTRNT a :: CONSTRAINT) ~~> ('CNSTRNT b :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type ('CNSTRNT a :: CONSTRAINT) ~~> ('CNSTRNT b :: CONSTRAINT) = 'CNSTRNT (a :=> b)

Methods

curry' :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) (c :: CONSTRAINT). Obj a -> Obj b -> ((a ** b) ~> c) -> a ~> (b ~~> c) Source Comments #

uncurry' :: forall (b :: CONSTRAINT) (c :: CONSTRAINT) (a :: CONSTRAINT). Obj b -> Obj c -> (a ~> (b ~~> c)) -> (a ** b) ~> c Source Comments #

(^^^) :: forall (b :: CONSTRAINT) (y :: CONSTRAINT) (x :: CONSTRAINT) (a :: CONSTRAINT). (b ~> y) -> (x ~> a) -> (a ~~> b) ~> (x ~~> y) Source Comments #

HasTerminalObject CONSTRAINT Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type TerminalObject
Instance details Defined in Proarrow.Category.Instance.Constraint type TerminalObject = 'CNSTRNT ()

Methods

terminate :: forall (a :: CONSTRAINT). Ob a => a ~> (TerminalObject :: CONSTRAINT) Source Comments #

terminate' :: forall (a :: CONSTRAINT) (a' :: CONSTRAINT). (a ~> a') -> a ~> (TerminalObject :: CONSTRAINT) Source Comments #

Promonad (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

id :: forall (a :: CONSTRAINT). Ob a => a :- a Source Comments #

(.) :: forall (b :: CONSTRAINT) (c :: CONSTRAINT) (a :: CONSTRAINT). (b :- c) -> (a :- b) -> a :- c Source Comments #

MonoidalProfunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

par0 :: (Unit :: CONSTRAINT) :- (Unit :: CONSTRAINT) Source Comments #

par :: forall (x1 :: CONSTRAINT) (x2 :: CONSTRAINT) (y1 :: CONSTRAINT) (y2 :: CONSTRAINT). (x1 :- x2) -> (y1 :- y2) -> (x1 ** y1) :- (x2 ** y2) Source Comments #

Profunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

dimap :: forall (c :: CONSTRAINT) (a :: CONSTRAINT) (b :: CONSTRAINT) (d :: CONSTRAINT). (c ~> a) -> (b ~> d) -> (a :- b) -> c :- d Source Comments #

(\\) :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) r. ((Ob a, Ob b) => r) -> (a :- b) -> r Source Comments #

ThinProfunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) = a :=> b

Methods

arr :: forall (a :: CONSTRAINT) (b :: CONSTRAINT). (Ob a, Ob b, HasArrow (:-) a b) => a :- b Source Comments #

withArr :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) r. (a :- b) -> (HasArrow (:-) a b => r) -> r Source Comments #

Comonoid ('CNSTRNT a :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

counit :: 'CNSTRNT a ~> (Unit :: CONSTRAINT) Source Comments #

comult :: 'CNSTRNT a ~> ('CNSTRNT a ** 'CNSTRNT a) Source Comments #

Monoid ('CNSTRNT ()) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

mempty :: (Unit :: CONSTRAINT) ~> 'CNSTRNT () Source Comments #

mappend :: ('CNSTRNT () ** 'CNSTRNT ()) ~> 'CNSTRNT () Source Comments #

type Unit Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type Unit = TerminalObject :: CONSTRAINT

type (~>) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type (~>) = (:-)

type TerminalObject Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type TerminalObject = 'CNSTRNT ()

type Ob (a :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type Ob (a :: CONSTRAINT) = Is 'CNSTRNT a

type (a :: CONSTRAINT) ** (b :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type (a :: CONSTRAINT) ** (b :: CONSTRAINT) = a && b

type UN 'CNSTRNT ('CNSTRNT a :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type UN 'CNSTRNT ('CNSTRNT a :: CONSTRAINT) = a

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) = a :=> b

type ('CNSTRNT l :: CONSTRAINT) && ('CNSTRNT r :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type ('CNSTRNT l :: CONSTRAINT) && ('CNSTRNT r :: CONSTRAINT) = 'CNSTRNT (l, r)

type ('CNSTRNT a :: CONSTRAINT) ~~> ('CNSTRNT b :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type ('CNSTRNT a :: CONSTRAINT) ~~> ('CNSTRNT b :: CONSTRAINT) = 'CNSTRNT (a :=> b)

data (a :: CONSTRAINT) :- (b :: CONSTRAINT) where Source Comments #

Constructors

Entails
Fields :: forall a1 b1. { unEntails :: forall r. ((a1 => b1) => r) -> r } -> 'CNSTRNT a1 :- 'CNSTRNT b1

Instances

Instances details

Promonad (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

id :: forall (a :: CONSTRAINT). Ob a => a :- a Source Comments #

(.) :: forall (b :: CONSTRAINT) (c :: CONSTRAINT) (a :: CONSTRAINT). (b :- c) -> (a :- b) -> a :- c Source Comments #

MonoidalProfunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

par0 :: (Unit :: CONSTRAINT) :- (Unit :: CONSTRAINT) Source Comments #

par :: forall (x1 :: CONSTRAINT) (x2 :: CONSTRAINT) (y1 :: CONSTRAINT) (y2 :: CONSTRAINT). (x1 :- x2) -> (y1 :- y2) -> (x1 ** y1) :- (x2 ** y2) Source Comments #

Profunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Methods

dimap :: forall (c :: CONSTRAINT) (a :: CONSTRAINT) (b :: CONSTRAINT) (d :: CONSTRAINT). (c ~> a) -> (b ~> d) -> (a :- b) -> c :- d Source Comments #

(\\) :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) r. ((Ob a, Ob b) => r) -> (a :- b) -> r Source Comments #

ThinProfunctor (:-) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

Associated Types

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT)
Instance details Defined in Proarrow.Category.Instance.Constraint type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) = a :=> b

Methods

arr :: forall (a :: CONSTRAINT) (b :: CONSTRAINT). (Ob a, Ob b, HasArrow (:-) a b) => a :- b Source Comments #

withArr :: forall (a :: CONSTRAINT) (b :: CONSTRAINT) r. (a :- b) -> (HasArrow (:-) a b => r) -> r Source Comments #

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) Source Comments #

Instance details

Defined in Proarrow.Category.Instance.Constraint

type HasArrow (:-) ('CNSTRNT a :: CONSTRAINT) ('CNSTRNT b :: CONSTRAINT) = a :=> b

class (b => c) => b :=> c Source Comments #

Instances

Instances details

(b => c) => b :=> c Source Comments #
Instance details Defined in Proarrow.Category.Instance.Constraint

maybeLiftsSemigroup :: 'CNSTRNT (Semigroup a) :- 'CNSTRNT (Monoid (Maybe a)) Source Comments #