Pandora.Paradigm.Schemes.P_Q_T

Documentation

newtype P_Q_T (p :: * -> * -> *) (q :: * -> * -> *) (t :: * -> *) (a :: *) (b :: *)

Constructors

P_Q_T (p a (q (t b) a))

Instances

Semigroupoid (Lens Identity)

Defined in Pandora.Paradigm.Inventory.Optics

Methods

(.) :: Lens Identity b c -> Lens Identity a b -> Lens Identity a c

Semigroupoid (Lens Maybe)

Defined in Pandora.Paradigm.Inventory.Optics

Methods

(.) :: Lens Maybe b c -> Lens Maybe a b -> Lens Maybe a c

Category (Lens Identity)

Defined in Pandora.Paradigm.Inventory.Optics

Methods

identity :: Lens Identity a a

($) :: Lens Identity (Lens Identity a b) (Lens Identity a b)

(#) :: Lens Identity (Lens Identity a b) (Lens Identity a b)

Category (Lens Maybe)

Defined in Pandora.Paradigm.Inventory.Optics

Methods

identity :: Lens Maybe a a

($) :: Lens Maybe (Lens Maybe a b) (Lens Maybe a b)

(#) :: Lens Maybe (Lens Maybe a b) (Lens Maybe a b)

Impliable (P_Q_T ((->) :: Type -> Type -> Type) Store Identity source target :: Type)

Defined in Pandora.Paradigm.Inventory.Optics

Associated Types

type Arguments (P_Q_T (->) Store Identity source target) = (args :: Type)

Methods

imply :: Arguments (P_Q_T (->) Store Identity source target)

Impliable (P_Q_T ((->) :: Type -> Type -> Type) Store Maybe source target :: Type)

Defined in Pandora.Paradigm.Inventory.Optics

Associated Types

type Arguments (P_Q_T (->) Store Maybe source target) = (args :: Type)

Methods

imply :: Arguments (P_Q_T (->) Store Maybe source target)

Invariant (Flip (Lens available) tgt)

Defined in Pandora.Paradigm.Inventory.Optics

Methods

(<$<) :: (a -> b) -> (b -> a) -> Flip (Lens available) tgt a -> Flip (Lens available) tgt b

invmap :: (a -> b) -> (b -> a) -> Flip (Lens available) tgt a -> Flip (Lens available) tgt b

Interpreted ((->) :: Type -> Type -> Type) (P_Q_T p q t a)

Defined in Pandora.Paradigm.Schemes.P_Q_T

Associated Types

type Primary (P_Q_T p q t a) a

Methods

run :: P_Q_T p q t a a0 -> Primary (P_Q_T p q t a) a0

unite :: Primary (P_Q_T p q t a) a0 -> P_Q_T p q t a a0

(||=) :: (Semigroupoid (->), Interpreted (->) u) => (Primary (P_Q_T p q t a) a0 -> Primary u b) -> P_Q_T p q t a a0 -> u b

(=||) :: (Semigroupoid (->), Interpreted (->) u) => (P_Q_T p q t a a0 -> u b) -> Primary (P_Q_T p q t a) a0 -> Primary u b

(<$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u) => (Primary (P_Q_T p q t a) a0 -> Primary u b) -> (j := P_Q_T p q t a a0) -> (j := u b)

(<$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Interpreted (->) u) => (Primary (P_Q_T p q t a) a0 -> Primary u b) -> ((j :. k) := P_Q_T p q t a a0) -> ((j :. k) := u b)

(<$$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted (->) u) => (Primary (P_Q_T p q t a) a0 -> Primary u b) -> ((j :. (k :. l)) := P_Q_T p q t a a0) -> ((j :. (k :. l)) := u b)

(<$$$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) n, Interpreted (->) u) => (Primary (P_Q_T p q t a) a0 -> Primary u b) -> ((j :. (k :. (l :. n))) := P_Q_T p q t a a0) -> ((j :. (k :. (l :. n))) := u b)

(=||$>) :: (Covariant (->) (->) j, Interpreted (->) u) => (P_Q_T p q t a a0 -> u b) -> (j := Primary (P_Q_T p q t a) a0) -> (j := Primary u b)

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted (->) u) => (P_Q_T p q t a a0 -> u b) -> ((j :. k) := Primary (P_Q_T p q t a) a0) -> ((j :. k) := Primary u b)

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted (->) u) => (P_Q_T p q t a a0 -> u b) -> ((j :. (k :. l)) := Primary (P_Q_T p q t a) a0) -> ((j :. (k :. l)) := Primary u b)

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) n, Interpreted (->) u) => (P_Q_T p q t a a0 -> u b) -> ((j :. (k :. (l :. n))) := Primary (P_Q_T p q t a) a0) -> ((j :. (k :. (l :. n))) := Primary u b)

type Arguments (P_Q_T ((->) :: Type -> Type -> Type) Store Identity source target :: Type)

Defined in Pandora.Paradigm.Inventory.Optics

type Arguments (P_Q_T ((->) :: Type -> Type -> Type) Store Identity source target :: Type) = (source -> target) -> (source -> target -> source) -> Lens Identity source target

type Arguments (P_Q_T ((->) :: Type -> Type -> Type) Store Maybe source target :: Type)

Defined in Pandora.Paradigm.Inventory.Optics

type Arguments (P_Q_T ((->) :: Type -> Type -> Type) Store Maybe source target :: Type) = (source -> Maybe target) -> (source -> Maybe target -> source) -> Lens Maybe source target

type Primary (P_Q_T p q t a) b

Defined in Pandora.Paradigm.Schemes.P_Q_T

type Primary (P_Q_T p q t a) b = p a (q (t b) a)