Pandora.Pattern.Junction.Schemes.TUV

Documentation

newtype TUV ct cu cv t u v a

Constructors

TUV ((t :.: (u :.: v)) >< a)

Instances

(Covariant t, Covariant u, Contravariant v) => Contravariant (TUV Co Co Contra t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(>$<) :: (a -> b) -> TUV Co Co Contra t u v b -> TUV Co Co Contra t u v a

contramap :: (a -> b) -> TUV Co Co Contra t u v b -> TUV Co Co Contra t u v a

(>$) :: b -> TUV Co Co Contra t u v b -> TUV Co Co Contra t u v a

($<) :: TUV Co Co Contra t u v b -> b -> TUV Co Co Contra t u v a

full :: TUV Co Co Contra t u v () -> TUV Co Co Contra t u v a

(>&<) :: TUV Co Co Contra t u v b -> (a -> b) -> TUV Co Co Contra t u v a

(>$$<) :: Contravariant u0 => (a -> b) -> ((TUV Co Co Contra t u v :.: u0) >< a) -> (TUV Co Co Contra t u v :.: u0) >< b

(>$$$<) :: (Contravariant u0, Contravariant v0) => (a -> b) -> ((TUV Co Co Contra t u v :.: (u0 :.: v0)) >< b) -> (TUV Co Co Contra t u v :.: (u0 :.: v0)) >< a

(>$$$$<) :: (Contravariant u0, Contravariant v0, Contravariant w) => (a -> b) -> ((TUV Co Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Co Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(>&&<) :: Contravariant u0 => ((TUV Co Co Contra t u v :.: u0) >< a) -> (a -> b) -> (TUV Co Co Contra t u v :.: u0) >< b

(>&&&<) :: (Contravariant u0, Contravariant v0) => ((TUV Co Co Contra t u v :.: (u0 :.: v0)) >< b) -> (a -> b) -> (TUV Co Co Contra t u v :.: (u0 :.: v0)) >< a

(>&&&&<) :: (Contravariant u0, Contravariant v0, Contravariant w) => ((TUV Co Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Co Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(Covariant t, Contravariant u, Covariant v) => Contravariant (TUV Co Contra Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(>$<) :: (a -> b) -> TUV Co Contra Co t u v b -> TUV Co Contra Co t u v a

contramap :: (a -> b) -> TUV Co Contra Co t u v b -> TUV Co Contra Co t u v a

(>$) :: b -> TUV Co Contra Co t u v b -> TUV Co Contra Co t u v a

($<) :: TUV Co Contra Co t u v b -> b -> TUV Co Contra Co t u v a

full :: TUV Co Contra Co t u v () -> TUV Co Contra Co t u v a

(>&<) :: TUV Co Contra Co t u v b -> (a -> b) -> TUV Co Contra Co t u v a

(>$$<) :: Contravariant u0 => (a -> b) -> ((TUV Co Contra Co t u v :.: u0) >< a) -> (TUV Co Contra Co t u v :.: u0) >< b

(>$$$<) :: (Contravariant u0, Contravariant v0) => (a -> b) -> ((TUV Co Contra Co t u v :.: (u0 :.: v0)) >< b) -> (TUV Co Contra Co t u v :.: (u0 :.: v0)) >< a

(>$$$$<) :: (Contravariant u0, Contravariant v0, Contravariant w) => (a -> b) -> ((TUV Co Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Co Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(>&&<) :: Contravariant u0 => ((TUV Co Contra Co t u v :.: u0) >< a) -> (a -> b) -> (TUV Co Contra Co t u v :.: u0) >< b

(>&&&<) :: (Contravariant u0, Contravariant v0) => ((TUV Co Contra Co t u v :.: (u0 :.: v0)) >< b) -> (a -> b) -> (TUV Co Contra Co t u v :.: (u0 :.: v0)) >< a

(>&&&&<) :: (Contravariant u0, Contravariant v0, Contravariant w) => ((TUV Co Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Co Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(Contravariant t, Covariant u, Covariant v) => Contravariant (TUV Contra Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(>$<) :: (a -> b) -> TUV Contra Co Co t u v b -> TUV Contra Co Co t u v a

contramap :: (a -> b) -> TUV Contra Co Co t u v b -> TUV Contra Co Co t u v a

(>$) :: b -> TUV Contra Co Co t u v b -> TUV Contra Co Co t u v a

($<) :: TUV Contra Co Co t u v b -> b -> TUV Contra Co Co t u v a

full :: TUV Contra Co Co t u v () -> TUV Contra Co Co t u v a

(>&<) :: TUV Contra Co Co t u v b -> (a -> b) -> TUV Contra Co Co t u v a

(>$$<) :: Contravariant u0 => (a -> b) -> ((TUV Contra Co Co t u v :.: u0) >< a) -> (TUV Contra Co Co t u v :.: u0) >< b

(>$$$<) :: (Contravariant u0, Contravariant v0) => (a -> b) -> ((TUV Contra Co Co t u v :.: (u0 :.: v0)) >< b) -> (TUV Contra Co Co t u v :.: (u0 :.: v0)) >< a

(>$$$$<) :: (Contravariant u0, Contravariant v0, Contravariant w) => (a -> b) -> ((TUV Contra Co Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Contra Co Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(>&&<) :: Contravariant u0 => ((TUV Contra Co Co t u v :.: u0) >< a) -> (a -> b) -> (TUV Contra Co Co t u v :.: u0) >< b

(>&&&<) :: (Contravariant u0, Contravariant v0) => ((TUV Contra Co Co t u v :.: (u0 :.: v0)) >< b) -> (a -> b) -> (TUV Contra Co Co t u v :.: (u0 :.: v0)) >< a

(>&&&&<) :: (Contravariant u0, Contravariant v0, Contravariant w) => ((TUV Contra Co Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Contra Co Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(Contravariant t, Contravariant u, Contravariant v) => Contravariant (TUV Contra Contra Contra t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(>$<) :: (a -> b) -> TUV Contra Contra Contra t u v b -> TUV Contra Contra Contra t u v a

contramap :: (a -> b) -> TUV Contra Contra Contra t u v b -> TUV Contra Contra Contra t u v a

(>$) :: b -> TUV Contra Contra Contra t u v b -> TUV Contra Contra Contra t u v a

($<) :: TUV Contra Contra Contra t u v b -> b -> TUV Contra Contra Contra t u v a

full :: TUV Contra Contra Contra t u v () -> TUV Contra Contra Contra t u v a

(>&<) :: TUV Contra Contra Contra t u v b -> (a -> b) -> TUV Contra Contra Contra t u v a

(>$$<) :: Contravariant u0 => (a -> b) -> ((TUV Contra Contra Contra t u v :.: u0) >< a) -> (TUV Contra Contra Contra t u v :.: u0) >< b

(>$$$<) :: (Contravariant u0, Contravariant v0) => (a -> b) -> ((TUV Contra Contra Contra t u v :.: (u0 :.: v0)) >< b) -> (TUV Contra Contra Contra t u v :.: (u0 :.: v0)) >< a

(>$$$$<) :: (Contravariant u0, Contravariant v0, Contravariant w) => (a -> b) -> ((TUV Contra Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Contra Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(>&&<) :: Contravariant u0 => ((TUV Contra Contra Contra t u v :.: u0) >< a) -> (a -> b) -> (TUV Contra Contra Contra t u v :.: u0) >< b

(>&&&<) :: (Contravariant u0, Contravariant v0) => ((TUV Contra Contra Contra t u v :.: (u0 :.: v0)) >< b) -> (a -> b) -> (TUV Contra Contra Contra t u v :.: (u0 :.: v0)) >< a

(>&&&&<) :: (Contravariant u0, Contravariant v0, Contravariant w) => ((TUV Contra Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Contra Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

Covariant u => Covariant (TUV Stateful () Stateful ((->) s :: Type -> Type) u ((:*:) s))

Defined in Pandora.Paradigm.Inventory.Stateful

Methods

(<$>) :: (a -> b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

comap :: (a -> b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(<$) :: a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a

($>) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

void :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) ()

loeb :: TUV Stateful () Stateful ((->) s) u ((:*:) s) (TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> a) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a

(<&>) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> (a -> b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(<$$>) :: Covariant u0 => (a -> b) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< b

(<$$$>) :: (Covariant u0, Covariant v) => (a -> b) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< b

(<$$$$>) :: (Covariant u0, Covariant v, Covariant w) => (a -> b) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< b

(<&&>) :: Covariant u0 => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< a) -> (a -> b) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< b

(<&&&>) :: (Covariant u0, Covariant v) => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< a) -> (a -> b) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< b

(<&&&&>) :: (Covariant u0, Covariant v, Covariant w) => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< a) -> (a -> b) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< b

(Covariant t, Covariant u, Covariant v) => Covariant (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<$>) :: (a -> b) -> TUV Co Co Co t u v a -> TUV Co Co Co t u v b

comap :: (a -> b) -> TUV Co Co Co t u v a -> TUV Co Co Co t u v b

(<$) :: a -> TUV Co Co Co t u v b -> TUV Co Co Co t u v a

($>) :: TUV Co Co Co t u v a -> b -> TUV Co Co Co t u v b

void :: TUV Co Co Co t u v a -> TUV Co Co Co t u v ()

loeb :: TUV Co Co Co t u v (TUV Co Co Co t u v a -> a) -> TUV Co Co Co t u v a

(<&>) :: TUV Co Co Co t u v a -> (a -> b) -> TUV Co Co Co t u v b

(<$$>) :: Covariant u0 => (a -> b) -> ((TUV Co Co Co t u v :.: u0) >< a) -> (TUV Co Co Co t u v :.: u0) >< b

(<$$$>) :: (Covariant u0, Covariant v0) => (a -> b) -> ((TUV Co Co Co t u v :.: (u0 :.: v0)) >< a) -> (TUV Co Co Co t u v :.: (u0 :.: v0)) >< b

(<$$$$>) :: (Covariant u0, Covariant v0, Covariant w) => (a -> b) -> ((TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(<&&>) :: Covariant u0 => ((TUV Co Co Co t u v :.: u0) >< a) -> (a -> b) -> (TUV Co Co Co t u v :.: u0) >< b

(<&&&>) :: (Covariant u0, Covariant v0) => ((TUV Co Co Co t u v :.: (u0 :.: v0)) >< a) -> (a -> b) -> (TUV Co Co Co t u v :.: (u0 :.: v0)) >< b

(<&&&&>) :: (Covariant u0, Covariant v0, Covariant w) => ((TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(Covariant t, Contravariant u, Contravariant v) => Covariant (TUV Co Contra Contra t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<$>) :: (a -> b) -> TUV Co Contra Contra t u v a -> TUV Co Contra Contra t u v b

comap :: (a -> b) -> TUV Co Contra Contra t u v a -> TUV Co Contra Contra t u v b

(<$) :: a -> TUV Co Contra Contra t u v b -> TUV Co Contra Contra t u v a

($>) :: TUV Co Contra Contra t u v a -> b -> TUV Co Contra Contra t u v b

void :: TUV Co Contra Contra t u v a -> TUV Co Contra Contra t u v ()

loeb :: TUV Co Contra Contra t u v (TUV Co Contra Contra t u v a -> a) -> TUV Co Contra Contra t u v a

(<&>) :: TUV Co Contra Contra t u v a -> (a -> b) -> TUV Co Contra Contra t u v b

(<$$>) :: Covariant u0 => (a -> b) -> ((TUV Co Contra Contra t u v :.: u0) >< a) -> (TUV Co Contra Contra t u v :.: u0) >< b

(<$$$>) :: (Covariant u0, Covariant v0) => (a -> b) -> ((TUV Co Contra Contra t u v :.: (u0 :.: v0)) >< a) -> (TUV Co Contra Contra t u v :.: (u0 :.: v0)) >< b

(<$$$$>) :: (Covariant u0, Covariant v0, Covariant w) => (a -> b) -> ((TUV Co Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Co Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(<&&>) :: Covariant u0 => ((TUV Co Contra Contra t u v :.: u0) >< a) -> (a -> b) -> (TUV Co Contra Contra t u v :.: u0) >< b

(<&&&>) :: (Covariant u0, Covariant v0) => ((TUV Co Contra Contra t u v :.: (u0 :.: v0)) >< a) -> (a -> b) -> (TUV Co Contra Contra t u v :.: (u0 :.: v0)) >< b

(<&&&&>) :: (Covariant u0, Covariant v0, Covariant w) => ((TUV Co Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Co Contra Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(Contravariant t, Covariant u, Contravariant v) => Covariant (TUV Contra Co Contra t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<$>) :: (a -> b) -> TUV Contra Co Contra t u v a -> TUV Contra Co Contra t u v b

comap :: (a -> b) -> TUV Contra Co Contra t u v a -> TUV Contra Co Contra t u v b

(<$) :: a -> TUV Contra Co Contra t u v b -> TUV Contra Co Contra t u v a

($>) :: TUV Contra Co Contra t u v a -> b -> TUV Contra Co Contra t u v b

void :: TUV Contra Co Contra t u v a -> TUV Contra Co Contra t u v ()

loeb :: TUV Contra Co Contra t u v (TUV Contra Co Contra t u v a -> a) -> TUV Contra Co Contra t u v a

(<&>) :: TUV Contra Co Contra t u v a -> (a -> b) -> TUV Contra Co Contra t u v b

(<$$>) :: Covariant u0 => (a -> b) -> ((TUV Contra Co Contra t u v :.: u0) >< a) -> (TUV Contra Co Contra t u v :.: u0) >< b

(<$$$>) :: (Covariant u0, Covariant v0) => (a -> b) -> ((TUV Contra Co Contra t u v :.: (u0 :.: v0)) >< a) -> (TUV Contra Co Contra t u v :.: (u0 :.: v0)) >< b

(<$$$$>) :: (Covariant u0, Covariant v0, Covariant w) => (a -> b) -> ((TUV Contra Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Contra Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(<&&>) :: Covariant u0 => ((TUV Contra Co Contra t u v :.: u0) >< a) -> (a -> b) -> (TUV Contra Co Contra t u v :.: u0) >< b

(<&&&>) :: (Covariant u0, Covariant v0) => ((TUV Contra Co Contra t u v :.: (u0 :.: v0)) >< a) -> (a -> b) -> (TUV Contra Co Contra t u v :.: (u0 :.: v0)) >< b

(<&&&&>) :: (Covariant u0, Covariant v0, Covariant w) => ((TUV Contra Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Contra Co Contra t u v :.: (u0 :.: (v0 :.: w))) >< b

(Contravariant t, Contravariant u, Covariant v) => Covariant (TUV Contra Contra Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<$>) :: (a -> b) -> TUV Contra Contra Co t u v a -> TUV Contra Contra Co t u v b

comap :: (a -> b) -> TUV Contra Contra Co t u v a -> TUV Contra Contra Co t u v b

(<$) :: a -> TUV Contra Contra Co t u v b -> TUV Contra Contra Co t u v a

($>) :: TUV Contra Contra Co t u v a -> b -> TUV Contra Contra Co t u v b

void :: TUV Contra Contra Co t u v a -> TUV Contra Contra Co t u v ()

loeb :: TUV Contra Contra Co t u v (TUV Contra Contra Co t u v a -> a) -> TUV Contra Contra Co t u v a

(<&>) :: TUV Contra Contra Co t u v a -> (a -> b) -> TUV Contra Contra Co t u v b

(<$$>) :: Covariant u0 => (a -> b) -> ((TUV Contra Contra Co t u v :.: u0) >< a) -> (TUV Contra Contra Co t u v :.: u0) >< b

(<$$$>) :: (Covariant u0, Covariant v0) => (a -> b) -> ((TUV Contra Contra Co t u v :.: (u0 :.: v0)) >< a) -> (TUV Contra Contra Co t u v :.: (u0 :.: v0)) >< b

(<$$$$>) :: (Covariant u0, Covariant v0, Covariant w) => (a -> b) -> ((TUV Contra Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Contra Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(<&&>) :: Covariant u0 => ((TUV Contra Contra Co t u v :.: u0) >< a) -> (a -> b) -> (TUV Contra Contra Co t u v :.: u0) >< b

(<&&&>) :: (Covariant u0, Covariant v0) => ((TUV Contra Contra Co t u v :.: (u0 :.: v0)) >< a) -> (a -> b) -> (TUV Contra Contra Co t u v :.: (u0 :.: v0)) >< b

(<&&&&>) :: (Covariant u0, Covariant v0, Covariant w) => ((TUV Contra Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (a -> b) -> (TUV Contra Contra Co t u v :.: (u0 :.: (v0 :.: w))) >< b

Bindable u => Bindable (TUV Stateful () Stateful ((->) s :: Type -> Type) u ((:*:) s))

Defined in Pandora.Paradigm.Inventory.Stateful

Methods

(>>=) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> (a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(=<<) :: (a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

bind :: (a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

join :: ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: TUV Stateful () Stateful ((->) s) u ((:*:) s)) >< a) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a

(>=>) :: (a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b) -> (b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) c) -> a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) c

(<=<) :: (b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) c) -> (a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b) -> a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) c

Bindable u => Applicative (TUV Stateful () Stateful ((->) s :: Type -> Type) u ((:*:) s))

Defined in Pandora.Paradigm.Inventory.Stateful

Methods

(<*>) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) (a -> b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

apply :: TUV Stateful () Stateful ((->) s) u ((:*:) s) (a -> b) -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(*>) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(<*) :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a

forever :: TUV Stateful () Stateful ((->) s) u ((:*:) s) a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) b

(<**>) :: Applicative u0 => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< (a -> b)) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: u0) >< b

(<***>) :: (Applicative u0, Applicative v) => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< (a -> b)) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: v)) >< b

(<****>) :: (Applicative u0, Applicative v, Applicative w) => ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< (a -> b)) -> ((TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< a) -> (TUV Stateful () Stateful ((->) s) u ((:*:) s) :.: (u0 :.: (v :.: w))) >< b

(Applicative t, Applicative u, Applicative v) => Applicative (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<*>) :: TUV Co Co Co t u v (a -> b) -> TUV Co Co Co t u v a -> TUV Co Co Co t u v b

apply :: TUV Co Co Co t u v (a -> b) -> TUV Co Co Co t u v a -> TUV Co Co Co t u v b

(*>) :: TUV Co Co Co t u v a -> TUV Co Co Co t u v b -> TUV Co Co Co t u v b

(<*) :: TUV Co Co Co t u v a -> TUV Co Co Co t u v b -> TUV Co Co Co t u v a

forever :: TUV Co Co Co t u v a -> TUV Co Co Co t u v b

(<**>) :: Applicative u0 => ((TUV Co Co Co t u v :.: u0) >< (a -> b)) -> ((TUV Co Co Co t u v :.: u0) >< a) -> (TUV Co Co Co t u v :.: u0) >< b

(<***>) :: (Applicative u0, Applicative v0) => ((TUV Co Co Co t u v :.: (u0 :.: v0)) >< (a -> b)) -> ((TUV Co Co Co t u v :.: (u0 :.: v0)) >< a) -> (TUV Co Co Co t u v :.: (u0 :.: v0)) >< b

(<****>) :: (Applicative u0, Applicative v0, Applicative w) => ((TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< (a -> b)) -> ((TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< a) -> (TUV Co Co Co t u v :.: (u0 :.: (v0 :.: w))) >< b

(Alternative t, Covariant u, Covariant v) => Alternative (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(<+>) :: TUV Co Co Co t u v a -> TUV Co Co Co t u v a -> TUV Co Co Co t u v a

alter :: TUV Co Co Co t u v a -> TUV Co Co Co t u v a -> TUV Co Co Co t u v a

(Avoidable t, Covariant u, Covariant v) => Avoidable (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

empty :: TUV Co Co Co t u v a

(Distributive t, Distributive u, Distributive v) => Distributive (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(>>-) :: Covariant t0 => t0 a -> (a -> TUV Co Co Co t u v b) -> (TUV Co Co Co t u v :.: t0) >< b

collect :: Covariant t0 => (a -> TUV Co Co Co t u v b) -> t0 a -> (TUV Co Co Co t u v :.: t0) >< b

distribute :: Covariant t0 => ((t0 :.: TUV Co Co Co t u v) >< a) -> (TUV Co Co Co t u v :.: t0) >< a

(>>>-) :: (Covariant t0, Covariant v0) => ((t0 :.: v0) >< a) -> (a -> TUV Co Co Co t u v b) -> (TUV Co Co Co t u v :.: (t0 :.: v0)) >< b

(>>>>-) :: (Covariant t0, Covariant v0, Covariant w) => ((t0 :.: (v0 :.: w)) >< a) -> (a -> TUV Co Co Co t u v b) -> (TUV Co Co Co t u v :.: (t0 :.: (v0 :.: w))) >< b

(>>>>>-) :: (Covariant t0, Covariant v0, Covariant w, Covariant j) => ((t0 :.: (v0 :.: (w :.: j))) >< a) -> (a -> TUV Co Co Co t u v b) -> (TUV Co Co Co t u v :.: (t0 :.: (v0 :.: (w :.: j)))) >< b

(Extractable t, Extractable u, Extractable v) => Extractable (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

extract :: TUV Co Co Co t u v a -> a

Pointable u => Pointable (TUV Stateful () Stateful ((->) s :: Type -> Type) u ((:*:) s))

Defined in Pandora.Paradigm.Inventory.Stateful

Methods

point :: a -> TUV Stateful () Stateful ((->) s) u ((:*:) s) a

(Pointable t, Pointable u, Pointable v) => Pointable (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

point :: a -> TUV Co Co Co t u v a

Monad u => Monad (TUV Stateful () Stateful ((->) s :: Type -> Type) u ((:*:) s))

Defined in Pandora.Paradigm.Inventory.Stateful

(Traversable t, Traversable u, Traversable v) => Traversable (TUV Co Co Co t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

(->>) :: (Pointable u0, Applicative u0) => TUV Co Co Co t u v a -> (a -> u0 b) -> (u0 :.: TUV Co Co Co t u v) >< b

traverse :: (Pointable u0, Applicative u0) => (a -> u0 b) -> TUV Co Co Co t u v a -> (u0 :.: TUV Co Co Co t u v) >< b

sequence :: (Pointable u0, Applicative u0) => (TUV Co Co Co t u v :.: u0) a -> (u0 :.: TUV Co Co Co t u v) >< a

(->>>) :: (Pointable u0, Applicative u0, Traversable v0) => ((v0 :.: TUV Co Co Co t u v) >< a) -> (a -> u0 b) -> (u0 :.: (v0 :.: TUV Co Co Co t u v)) >< b

(->>>>) :: (Pointable u0, Applicative u0, Traversable v0, Traversable w) => ((w :.: (v0 :.: TUV Co Co Co t u v)) >< a) -> (a -> u0 b) -> (u0 :.: (w :.: (v0 :.: TUV Co Co Co t u v))) >< b

(->>>>>) :: (Pointable u0, Applicative u0, Traversable v0, Traversable w, Traversable j) => ((j :.: (w :.: (v0 :.: TUV Co Co Co t u v))) >< a) -> (a -> u0 b) -> (u0 :.: (j :.: (w :.: (v0 :.: TUV Co Co Co t u v)))) >< b

Composition (TUV ct cu cv t u v)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Associated Types

type Primary (TUV ct cu cv t u v) a :: Type

Methods

unwrap :: TUV ct cu cv t u v a -> Primary (TUV ct cu cv t u v) a

(t :-|: w, v :-|: x, u :-|: y) => Adjoint (TUV Co Co Co t v u) (TUV Co Co Co w x y)

Defined in Pandora.Pattern.Junction.Schemes.TUV

Methods

phi :: (TUV Co Co Co t v u a -> b) -> a -> TUV Co Co Co w x y b

psi :: (a -> TUV Co Co Co w x y b) -> TUV Co Co Co t v u a -> b

eta :: a -> (TUV Co Co Co w x y :.: TUV Co Co Co t v u) >< a

epsilon :: ((TUV Co Co Co t v u :.: TUV Co Co Co w x y) >< a) -> a

type Primary (TUV ct cu cv t u v) a

Defined in Pandora.Pattern.Junction.Schemes.TUV

type Primary (TUV ct cu cv t u v) a = (t :.: (u :.: v)) >< a