Pandora.Paradigm.Controlflow.Effect.Interpreted

Documentation

type family Schematic (c :: (* -> *) -> k) (t :: * -> *) = (r :: (* -> *) -> * -> *) | r -> t

Instances

type Schematic Monad Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

type Schematic Monad Maybe = (<.:>) Maybe

type Schematic Monad (Conclusion e)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

type Schematic Monad (Conclusion e) = (<.:>) (Conclusion e)

type Schematic Monad (State s)

Defined in Pandora.Paradigm.Inventory.State

type Schematic Monad (State s) = ((->) s :: Type -> Type) <:<.>:> (:*:) s

type Schematic Monad (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

type Schematic Monad (Environment e) = (<:.>) ((->) e :: Type -> Type)

type Schematic Monad (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

type Schematic Monad (Accumulator e) = (<.:>) ((:*:) e)

type Schematic Comonad (Store s)

Defined in Pandora.Paradigm.Inventory.Store

type Schematic Comonad (Store s) = (:*:) s <:<.>:> ((->) s :: Type -> Type)

type Schematic Comonad (Imprint e)

Defined in Pandora.Paradigm.Inventory.Imprint

type Schematic Comonad (Imprint e) = (<.:>) ((->) e :: Type -> Type)

type Schematic Comonad (Equipment e)

Defined in Pandora.Paradigm.Inventory.Equipment

type Schematic Comonad (Equipment e) = (<:.>) ((:*:) e)

class Interpreted t where

Minimal complete definition

run, unite

Associated Types

type Primary t a :: *

Methods

run :: t a -> Primary t a

unite :: Primary t a -> t a

(||=) :: Interpreted u => (Primary t a -> Primary u b) -> t a -> u b infixr 2

(=||) :: Interpreted u => (t a -> u b) -> Primary t a -> Primary u b infixr 2

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary t a -> Primary u b) -> (j := t a) -> j := u b

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

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

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary t a -> Primary u b) -> ((j :. (k :. (l :. m))) := t a) -> (j :. (k :. (l :. m))) := u b

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

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

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

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

Instances

Interpreted Predicate

Defined in Pandora.Paradigm.Primary.Functor.Predicate

Associated Types

type Primary Predicate a

Methods

run :: Predicate a -> Primary Predicate a

unite :: Primary Predicate a -> Predicate a

(||=) :: Interpreted u => (Primary Predicate a -> Primary u b) -> Predicate a -> u b

(=||) :: Interpreted u => (Predicate a -> u b) -> Primary Predicate a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary Predicate a -> Primary u b) -> (j := Predicate a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary Predicate a -> Primary u b) -> ((j :. k) := Predicate a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary Predicate a -> Primary u b) -> ((j :. (k :. l)) := Predicate a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary Predicate a -> Primary u b) -> ((j :. (k :. (l :. m))) := Predicate a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Predicate a -> u b) -> (j := Primary Predicate a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Predicate a -> u b) -> ((j :. k) := Primary Predicate a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Predicate a -> u b) -> ((j :. (k :. l)) := Primary Predicate a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Predicate a -> u b) -> ((j :. (k :. (l :. m))) := Primary Predicate a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted Endo

Defined in Pandora.Paradigm.Primary.Functor.Endo

Associated Types

type Primary Endo a

Methods

run :: Endo a -> Primary Endo a

unite :: Primary Endo a -> Endo a

(||=) :: Interpreted u => (Primary Endo a -> Primary u b) -> Endo a -> u b

(=||) :: Interpreted u => (Endo a -> u b) -> Primary Endo a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary Endo a -> Primary u b) -> (j := Endo a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary Endo a -> Primary u b) -> ((j :. k) := Endo a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary Endo a -> Primary u b) -> ((j :. (k :. l)) := Endo a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary Endo a -> Primary u b) -> ((j :. (k :. (l :. m))) := Endo a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Endo a -> u b) -> (j := Primary Endo a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Endo a -> u b) -> ((j :. k) := Primary Endo a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Endo a -> u b) -> ((j :. (k :. l)) := Primary Endo a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Endo a -> u b) -> ((j :. (k :. (l :. m))) := Primary Endo a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Associated Types

type Primary Maybe a

Methods

run :: Maybe a -> Primary Maybe a

unite :: Primary Maybe a -> Maybe a

(||=) :: Interpreted u => (Primary Maybe a -> Primary u b) -> Maybe a -> u b

(=||) :: Interpreted u => (Maybe a -> u b) -> Primary Maybe a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary Maybe a -> Primary u b) -> (j := Maybe a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary Maybe a -> Primary u b) -> ((j :. k) := Maybe a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary Maybe a -> Primary u b) -> ((j :. (k :. l)) := Maybe a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary Maybe a -> Primary u b) -> ((j :. (k :. (l :. m))) := Maybe a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Maybe a -> u b) -> (j := Primary Maybe a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Maybe a -> u b) -> ((j :. k) := Primary Maybe a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Maybe a -> u b) -> ((j :. (k :. l)) := Primary Maybe a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Maybe a -> u b) -> ((j :. (k :. (l :. m))) := Primary Maybe a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Conclusion e)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Associated Types

type Primary (Conclusion e) a

Methods

run :: Conclusion e a -> Primary (Conclusion e) a

unite :: Primary (Conclusion e) a -> Conclusion e a

(||=) :: Interpreted u => (Primary (Conclusion e) a -> Primary u b) -> Conclusion e a -> u b

(=||) :: Interpreted u => (Conclusion e a -> u b) -> Primary (Conclusion e) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Conclusion e) a -> Primary u b) -> (j := Conclusion e a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Conclusion e) a -> Primary u b) -> ((j :. k) := Conclusion e a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Conclusion e) a -> Primary u b) -> ((j :. (k :. l)) := Conclusion e a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Conclusion e) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Conclusion e a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Conclusion e a -> u b) -> (j := Primary (Conclusion e) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Conclusion e a -> u b) -> ((j :. k) := Primary (Conclusion e) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Conclusion e a -> u b) -> ((j :. (k :. l)) := Primary (Conclusion e) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Conclusion e a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Conclusion e) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Associated Types

type Primary (Comprehension t) a

Methods

run :: Comprehension t a -> Primary (Comprehension t) a

unite :: Primary (Comprehension t) a -> Comprehension t a

(||=) :: Interpreted u => (Primary (Comprehension t) a -> Primary u b) -> Comprehension t a -> u b

(=||) :: Interpreted u => (Comprehension t a -> u b) -> Primary (Comprehension t) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Comprehension t) a -> Primary u b) -> (j := Comprehension t a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Comprehension t) a -> Primary u b) -> ((j :. k) := Comprehension t a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Comprehension t) a -> Primary u b) -> ((j :. (k :. l)) := Comprehension t a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Comprehension t) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Comprehension t a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Comprehension t a -> u b) -> (j := Primary (Comprehension t) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Comprehension t a -> u b) -> ((j :. k) := Primary (Comprehension t) a) -> (j :. k) := Primary u b

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

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Comprehension t a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Comprehension t) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Store s)

Defined in Pandora.Paradigm.Inventory.Store

Associated Types

type Primary (Store s) a

Methods

run :: Store s a -> Primary (Store s) a

unite :: Primary (Store s) a -> Store s a

(||=) :: Interpreted u => (Primary (Store s) a -> Primary u b) -> Store s a -> u b

(=||) :: Interpreted u => (Store s a -> u b) -> Primary (Store s) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Store s) a -> Primary u b) -> (j := Store s a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Store s) a -> Primary u b) -> ((j :. k) := Store s a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Store s) a -> Primary u b) -> ((j :. (k :. l)) := Store s a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Store s) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Store s a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Store s a -> u b) -> (j := Primary (Store s) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Store s a -> u b) -> ((j :. k) := Primary (Store s) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Store s a -> u b) -> ((j :. (k :. l)) := Primary (Store s) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Store s a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Store s) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (State s)

Defined in Pandora.Paradigm.Inventory.State

Associated Types

type Primary (State s) a

Methods

run :: State s a -> Primary (State s) a

unite :: Primary (State s) a -> State s a

(||=) :: Interpreted u => (Primary (State s) a -> Primary u b) -> State s a -> u b

(=||) :: Interpreted u => (State s a -> u b) -> Primary (State s) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (State s) a -> Primary u b) -> (j := State s a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. k) := State s a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. (k :. l)) := State s a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. (k :. (l :. m))) := State s a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (State s a -> u b) -> (j := Primary (State s) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (State s a -> u b) -> ((j :. k) := Primary (State s) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (State s a -> u b) -> ((j :. (k :. l)) := Primary (State s) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (State s a -> u b) -> ((j :. (k :. (l :. m))) := Primary (State s) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Imprint e)

Defined in Pandora.Paradigm.Inventory.Imprint

Associated Types

type Primary (Imprint e) a

Methods

run :: Imprint e a -> Primary (Imprint e) a

unite :: Primary (Imprint e) a -> Imprint e a

(||=) :: Interpreted u => (Primary (Imprint e) a -> Primary u b) -> Imprint e a -> u b

(=||) :: Interpreted u => (Imprint e a -> u b) -> Primary (Imprint e) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Imprint e) a -> Primary u b) -> (j := Imprint e a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Imprint e) a -> Primary u b) -> ((j :. k) := Imprint e a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Imprint e) a -> Primary u b) -> ((j :. (k :. l)) := Imprint e a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Imprint e) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Imprint e a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Imprint e a -> u b) -> (j := Primary (Imprint e) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Imprint e a -> u b) -> ((j :. k) := Primary (Imprint e) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Imprint e a -> u b) -> ((j :. (k :. l)) := Primary (Imprint e) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Imprint e a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Imprint e) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Equipment e)

Defined in Pandora.Paradigm.Inventory.Equipment

Associated Types

type Primary (Equipment e) a

Methods

run :: Equipment e a -> Primary (Equipment e) a

unite :: Primary (Equipment e) a -> Equipment e a

(||=) :: Interpreted u => (Primary (Equipment e) a -> Primary u b) -> Equipment e a -> u b

(=||) :: Interpreted u => (Equipment e a -> u b) -> Primary (Equipment e) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Equipment e) a -> Primary u b) -> (j := Equipment e a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Equipment e) a -> Primary u b) -> ((j :. k) := Equipment e a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Equipment e) a -> Primary u b) -> ((j :. (k :. l)) := Equipment e a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Equipment e) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Equipment e a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Equipment e a -> u b) -> (j := Primary (Equipment e) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Equipment e a -> u b) -> ((j :. k) := Primary (Equipment e) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Equipment e a -> u b) -> ((j :. (k :. l)) := Primary (Equipment e) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Equipment e a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Equipment e) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Associated Types

type Primary (Environment e) a

Methods

run :: Environment e a -> Primary (Environment e) a

unite :: Primary (Environment e) a -> Environment e a

(||=) :: Interpreted u => (Primary (Environment e) a -> Primary u b) -> Environment e a -> u b

(=||) :: Interpreted u => (Environment e a -> u b) -> Primary (Environment e) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Environment e) a -> Primary u b) -> (j := Environment e a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Environment e) a -> Primary u b) -> ((j :. k) := Environment e a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Environment e) a -> Primary u b) -> ((j :. (k :. l)) := Environment e a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Environment e) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Environment e a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Environment e a -> u b) -> (j := Primary (Environment e) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Environment e a -> u b) -> ((j :. k) := Primary (Environment e) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Environment e a -> u b) -> ((j :. (k :. l)) := Primary (Environment e) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Environment e a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Environment e) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Associated Types

type Primary (Accumulator e) a

Methods

run :: Accumulator e a -> Primary (Accumulator e) a

unite :: Primary (Accumulator e) a -> Accumulator e a

(||=) :: Interpreted u => (Primary (Accumulator e) a -> Primary u b) -> Accumulator e a -> u b

(=||) :: Interpreted u => (Accumulator e a -> u b) -> Primary (Accumulator e) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Accumulator e) a -> Primary u b) -> (j := Accumulator e a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Accumulator e) a -> Primary u b) -> ((j :. k) := Accumulator e a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Accumulator e) a -> Primary u b) -> ((j :. (k :. l)) := Accumulator e a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Accumulator e) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Accumulator e a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Accumulator e a -> u b) -> (j := Primary (Accumulator e) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Accumulator e a -> u b) -> ((j :. k) := Primary (Accumulator e) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Accumulator e a -> u b) -> ((j :. (k :. l)) := Primary (Accumulator e) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Accumulator e a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Accumulator e) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Flip v a)

Defined in Pandora.Paradigm.Primary.Transformer

Associated Types

type Primary (Flip v a) a

Methods

run :: Flip v a a0 -> Primary (Flip v a) a0

unite :: Primary (Flip v a) a0 -> Flip v a a0

(||=) :: Interpreted u => (Primary (Flip v a) a0 -> Primary u b) -> Flip v a a0 -> u b

(=||) :: Interpreted u => (Flip v a a0 -> u b) -> Primary (Flip v a) a0 -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> (j := Flip v a a0) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. k) := Flip v a a0) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. (k :. l)) := Flip v a a0) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Flip v a) a0 -> Primary u b) -> ((j :. (k :. (l :. m))) := Flip v a a0) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Flip v a a0 -> u b) -> (j := Primary (Flip v a) a0) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. k) := Primary (Flip v a) a0) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. (k :. l)) := Primary (Flip v a) a0) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Flip v a a0 -> u b) -> ((j :. (k :. (l :. m))) := Primary (Flip v a) a0) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Schematic Monad t u) => Interpreted (t :> u)

Defined in Pandora.Paradigm.Controlflow.Effect.Transformer.Monadic

Associated Types

type Primary (t :> u) a

Methods

run :: (t :> u) a -> Primary (t :> u) a

unite :: Primary (t :> u) a -> (t :> u) a

(||=) :: Interpreted u0 => (Primary (t :> u) a -> Primary u0 b) -> (t :> u) a -> u0 b

(=||) :: Interpreted u0 => ((t :> u) a -> u0 b) -> Primary (t :> u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (t :> u) a -> Primary u0 b) -> (j := (t :> u) a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (t :> u) a -> Primary u0 b) -> ((j :. k) := (t :> u) a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (t :> u) a -> Primary u0 b) -> ((j :. (k :. l)) := (t :> u) a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (t :> u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := (t :> u) a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => ((t :> u) a -> u0 b) -> (j := Primary (t :> u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => ((t :> u) a -> u0 b) -> ((j :. k) := Primary (t :> u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => ((t :> u) a -> u0 b) -> ((j :. (k :. l)) := Primary (t :> u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => ((t :> u) a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (t :> u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (Backwards t)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Associated Types

type Primary (Backwards t) a

Methods

run :: Backwards t a -> Primary (Backwards t) a

unite :: Primary (Backwards t) a -> Backwards t a

(||=) :: Interpreted u => (Primary (Backwards t) a -> Primary u b) -> Backwards t a -> u b

(=||) :: Interpreted u => (Backwards t a -> u b) -> Primary (Backwards t) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Backwards t) a -> Primary u b) -> (j := Backwards t a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Backwards t) a -> Primary u b) -> ((j :. k) := Backwards t a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Backwards t) a -> Primary u b) -> ((j :. (k :. l)) := Backwards t a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Backwards t) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Backwards t a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Backwards t a -> u b) -> (j := Primary (Backwards t) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Backwards t a -> u b) -> ((j :. k) := Primary (Backwards t) a) -> (j :. k) := Primary u b

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

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Backwards t a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Backwards t) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Associated Types

type Primary (Reverse t) a

Methods

run :: Reverse t a -> Primary (Reverse t) a

unite :: Primary (Reverse t) a -> Reverse t a

(||=) :: Interpreted u => (Primary (Reverse t) a -> Primary u b) -> Reverse t a -> u b

(=||) :: Interpreted u => (Reverse t a -> u b) -> Primary (Reverse t) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> (j := Reverse t a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. k) := Reverse t a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. (k :. l)) := Reverse t a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Reverse t) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Reverse t a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Reverse t a -> u b) -> (j := Primary (Reverse t) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Reverse t a -> u b) -> ((j :. k) := Primary (Reverse t) a) -> (j :. k) := Primary u b

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

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Reverse t a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Reverse t) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (Schematic Comonad t u) => Interpreted (t :< u)

Defined in Pandora.Paradigm.Controlflow.Effect.Transformer.Comonadic

Associated Types

type Primary (t :< u) a

Methods

run :: (t :< u) a -> Primary (t :< u) a

unite :: Primary (t :< u) a -> (t :< u) a

(||=) :: Interpreted u0 => (Primary (t :< u) a -> Primary u0 b) -> (t :< u) a -> u0 b

(=||) :: Interpreted u0 => ((t :< u) a -> u0 b) -> Primary (t :< u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (t :< u) a -> Primary u0 b) -> (j := (t :< u) a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (t :< u) a -> Primary u0 b) -> ((j :. k) := (t :< u) a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (t :< u) a -> Primary u0 b) -> ((j :. (k :. l)) := (t :< u) a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (t :< u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := (t :< u) a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => ((t :< u) a -> u0 b) -> (j := Primary (t :< u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => ((t :< u) a -> u0 b) -> ((j :. k) := Primary (t :< u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => ((t :< u) a -> u0 b) -> ((j :. (k :. l)) := Primary (t :< u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => ((t :< u) a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (t :< u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (Prefixed t k)

Defined in Pandora.Paradigm.Structure.Modification.Prefixed

Associated Types

type Primary (Prefixed t k) a

Methods

run :: Prefixed t k a -> Primary (Prefixed t k) a

unite :: Primary (Prefixed t k) a -> Prefixed t k a

(||=) :: Interpreted u => (Primary (Prefixed t k) a -> Primary u b) -> Prefixed t k a -> u b

(=||) :: Interpreted u => (Prefixed t k a -> u b) -> Primary (Prefixed t k) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Prefixed t k) a -> Primary u b) -> (j := Prefixed t k a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Interpreted u) => (Primary (Prefixed t k) a -> Primary u b) -> ((j :. k0) := Prefixed t k a) -> (j :. k0) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Covariant (->) (->) l, Interpreted u) => (Primary (Prefixed t k) a -> Primary u b) -> ((j :. (k0 :. l)) := Prefixed t k a) -> (j :. (k0 :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Prefixed t k) a -> Primary u b) -> ((j :. (k0 :. (l :. m))) := Prefixed t k a) -> (j :. (k0 :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Prefixed t k a -> u b) -> (j := Primary (Prefixed t k) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Interpreted u) => (Prefixed t k a -> u b) -> ((j :. k0) := Primary (Prefixed t k) a) -> (j :. k0) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Covariant (->) (->) l, Interpreted u) => (Prefixed t k a -> u b) -> ((j :. (k0 :. l)) := Primary (Prefixed t k) a) -> (j :. (k0 :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k0, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Prefixed t k a -> u b) -> ((j :. (k0 :. (l :. m))) := Primary (Prefixed t k) a) -> (j :. (k0 :. (l :. m))) := Primary u b

Interpreted (Continuation r t)

Defined in Pandora.Paradigm.Primary.Transformer.Continuation

Associated Types

type Primary (Continuation r t) a

Methods

run :: Continuation r t a -> Primary (Continuation r t) a

unite :: Primary (Continuation r t) a -> Continuation r t a

(||=) :: Interpreted u => (Primary (Continuation r t) a -> Primary u b) -> Continuation r t a -> u b

(=||) :: Interpreted u => (Continuation r t a -> u b) -> Primary (Continuation r t) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (Continuation r t) a -> Primary u b) -> (j := Continuation r t a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (Continuation r t) a -> Primary u b) -> ((j :. k) := Continuation r t a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (Continuation r t) a -> Primary u b) -> ((j :. (k :. l)) := Continuation r t a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (Continuation r t) a -> Primary u b) -> ((j :. (k :. (l :. m))) := Continuation r t a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (Continuation r t a -> u b) -> (j := Primary (Continuation r t) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Continuation r t a -> u b) -> ((j :. k) := Primary (Continuation r t) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Continuation r t a -> u b) -> ((j :. (k :. l)) := Primary (Continuation r t) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Continuation r t a -> u b) -> ((j :. (k :. (l :. m))) := Primary (Continuation r t) a) -> (j :. (k :. (l :. m))) := Primary u b

Interpreted (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

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

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

(<$||=) :: (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

(<$$||=) :: (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

(<$$$||=) :: (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

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

Interpreted (Kan ('Left :: Type -> Wye Type) t u b)

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Associated Types

type Primary (Kan 'Left t u b) a

Methods

run :: Kan 'Left t u b a -> Primary (Kan 'Left t u b) a

unite :: Primary (Kan 'Left t u b) a -> Kan 'Left t u b a

(||=) :: Interpreted u0 => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> Kan 'Left t u b a -> u0 b0

(=||) :: Interpreted u0 => (Kan 'Left t u b a -> u0 b0) -> Primary (Kan 'Left t u b) a -> Primary u0 b0

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> (j := Kan 'Left t u b a) -> j := u0 b0

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> ((j :. k) := Kan 'Left t u b a) -> (j :. k) := u0 b0

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> ((j :. (k :. l)) := Kan 'Left t u b a) -> (j :. (k :. l)) := u0 b0

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (Kan 'Left t u b) a -> Primary u0 b0) -> ((j :. (k :. (l :. m))) := Kan 'Left t u b a) -> (j :. (k :. (l :. m))) := u0 b0

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (Kan 'Left t u b a -> u0 b0) -> (j := Primary (Kan 'Left t u b) a) -> j := Primary u0 b0

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Kan 'Left t u b a -> u0 b0) -> ((j :. k) := Primary (Kan 'Left t u b) a) -> (j :. k) := Primary u0 b0

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Kan 'Left t u b a -> u0 b0) -> ((j :. (k :. l)) := Primary (Kan 'Left t u b) a) -> (j :. (k :. l)) := Primary u0 b0

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Kan 'Left t u b a -> u0 b0) -> ((j :. (k :. (l :. m))) := Primary (Kan 'Left t u b) a) -> (j :. (k :. (l :. m))) := Primary u0 b0

Interpreted (Kan ('Right :: Type -> Wye Type) t u b)

Defined in Pandora.Paradigm.Primary.Transformer.Kan

Associated Types

type Primary (Kan 'Right t u b) a

Methods

run :: Kan 'Right t u b a -> Primary (Kan 'Right t u b) a

unite :: Primary (Kan 'Right t u b) a -> Kan 'Right t u b a

(||=) :: Interpreted u0 => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> Kan 'Right t u b a -> u0 b0

(=||) :: Interpreted u0 => (Kan 'Right t u b a -> u0 b0) -> Primary (Kan 'Right t u b) a -> Primary u0 b0

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> (j := Kan 'Right t u b a) -> j := u0 b0

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> ((j :. k) := Kan 'Right t u b a) -> (j :. k) := u0 b0

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> ((j :. (k :. l)) := Kan 'Right t u b a) -> (j :. (k :. l)) := u0 b0

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (Kan 'Right t u b) a -> Primary u0 b0) -> ((j :. (k :. (l :. m))) := Kan 'Right t u b a) -> (j :. (k :. (l :. m))) := u0 b0

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (Kan 'Right t u b a -> u0 b0) -> (j := Primary (Kan 'Right t u b) a) -> j := Primary u0 b0

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Kan 'Right t u b a -> u0 b0) -> ((j :. k) := Primary (Kan 'Right t u b) a) -> (j :. k) := Primary u0 b0

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Kan 'Right t u b a -> u0 b0) -> ((j :. (k :. l)) := Primary (Kan 'Right t u b) a) -> (j :. (k :. l)) := Primary u0 b0

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Kan 'Right t u b a -> u0 b0) -> ((j :. (k :. (l :. m))) := Primary (Kan 'Right t u b) a) -> (j :. (k :. (l :. m))) := Primary u0 b0

Interpreted (P_T p t a)

Defined in Pandora.Paradigm.Schemes.P_T

Associated Types

type Primary (P_T p t a) a

Methods

run :: P_T p t a a0 -> Primary (P_T p t a) a0

unite :: Primary (P_T p t a) a0 -> P_T p t a a0

(||=) :: Interpreted u => (Primary (P_T p t a) a0 -> Primary u b) -> P_T p t a a0 -> u b

(=||) :: Interpreted u => (P_T p t a a0 -> u b) -> Primary (P_T p t a) a0 -> Primary u b

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

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

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

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

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

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

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

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

Interpreted (PQ_ p q a)

Defined in Pandora.Paradigm.Schemes.PQ_

Associated Types

type Primary (PQ_ p q a) a

Methods

run :: PQ_ p q a a0 -> Primary (PQ_ p q a) a0

unite :: Primary (PQ_ p q a) a0 -> PQ_ p q a a0

(||=) :: Interpreted u => (Primary (PQ_ p q a) a0 -> Primary u b) -> PQ_ p q a a0 -> u b

(=||) :: Interpreted u => (PQ_ p q a a0 -> u b) -> Primary (PQ_ p q a) a0 -> Primary u b

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

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

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

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

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

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

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

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

Interpreted (PTU p t u a)

Defined in Pandora.Paradigm.Schemes.PTU

Associated Types

type Primary (PTU p t u a) a

Methods

run :: PTU p t u a a0 -> Primary (PTU p t u a) a0

unite :: Primary (PTU p t u a) a0 -> PTU p t u a a0

(||=) :: Interpreted u0 => (Primary (PTU p t u a) a0 -> Primary u0 b) -> PTU p t u a a0 -> u0 b

(=||) :: Interpreted u0 => (PTU p t u a a0 -> u0 b) -> Primary (PTU p t u a) a0 -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (PTU p t u a) a0 -> Primary u0 b) -> (j := PTU p t u a a0) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (PTU p t u a) a0 -> Primary u0 b) -> ((j :. k) := PTU p t u a a0) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (PTU p t u a) a0 -> Primary u0 b) -> ((j :. (k :. l)) := PTU p t u a a0) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (PTU p t u a) a0 -> Primary u0 b) -> ((j :. (k :. (l :. m))) := PTU p t u a a0) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (PTU p t u a a0 -> u0 b) -> (j := Primary (PTU p t u a) a0) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (PTU p t u a a0 -> u0 b) -> ((j :. k) := Primary (PTU p t u a) a0) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (PTU p t u a a0 -> u0 b) -> ((j :. (k :. l)) := Primary (PTU p t u a) a0) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (PTU p t u a a0 -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (PTU p t u a) a0) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (UT ct cu t u)

Defined in Pandora.Paradigm.Schemes.UT

Associated Types

type Primary (UT ct cu t u) a

Methods

run :: UT ct cu t u a -> Primary (UT ct cu t u) a

unite :: Primary (UT ct cu t u) a -> UT ct cu t u a

(||=) :: Interpreted u0 => (Primary (UT ct cu t u) a -> Primary u0 b) -> UT ct cu t u a -> u0 b

(=||) :: Interpreted u0 => (UT ct cu t u a -> u0 b) -> Primary (UT ct cu t u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (UT ct cu t u) a -> Primary u0 b) -> (j := UT ct cu t u a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (UT ct cu t u) a -> Primary u0 b) -> ((j :. k) := UT ct cu t u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (UT ct cu t u) a -> Primary u0 b) -> ((j :. (k :. l)) := UT ct cu t u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (UT ct cu t u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := UT ct cu t u a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (UT ct cu t u a -> u0 b) -> (j := Primary (UT ct cu t u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (UT ct cu t u a -> u0 b) -> ((j :. k) := Primary (UT ct cu t u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (UT ct cu t u a -> u0 b) -> ((j :. (k :. l)) := Primary (UT ct cu t u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (UT ct cu t u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (UT ct cu t u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (TU ct cu t u)

Defined in Pandora.Paradigm.Schemes.TU

Associated Types

type Primary (TU ct cu t u) a

Methods

run :: TU ct cu t u a -> Primary (TU ct cu t u) a

unite :: Primary (TU ct cu t u) a -> TU ct cu t u a

(||=) :: Interpreted u0 => (Primary (TU ct cu t u) a -> Primary u0 b) -> TU ct cu t u a -> u0 b

(=||) :: Interpreted u0 => (TU ct cu t u a -> u0 b) -> Primary (TU ct cu t u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> (j := TU ct cu t u a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> ((j :. k) := TU ct cu t u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> ((j :. (k :. l)) := TU ct cu t u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (TU ct cu t u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := TU ct cu t u a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (TU ct cu t u a -> u0 b) -> (j := Primary (TU ct cu t u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (TU ct cu t u a -> u0 b) -> ((j :. k) := Primary (TU ct cu t u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (TU ct cu t u a -> u0 b) -> ((j :. (k :. l)) := Primary (TU ct cu t u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (TU ct cu t u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (TU ct cu t u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (U_T ct cu t p u)

Defined in Pandora.Paradigm.Schemes.U_T

Associated Types

type Primary (U_T ct cu t p u) a

Methods

run :: U_T ct cu t p u a -> Primary (U_T ct cu t p u) a

unite :: Primary (U_T ct cu t p u) a -> U_T ct cu t p u a

(||=) :: Interpreted u0 => (Primary (U_T ct cu t p u) a -> Primary u0 b) -> U_T ct cu t p u a -> u0 b

(=||) :: Interpreted u0 => (U_T ct cu t p u a -> u0 b) -> Primary (U_T ct cu t p u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (U_T ct cu t p u) a -> Primary u0 b) -> (j := U_T ct cu t p u a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (U_T ct cu t p u) a -> Primary u0 b) -> ((j :. k) := U_T ct cu t p u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (U_T ct cu t p u) a -> Primary u0 b) -> ((j :. (k :. l)) := U_T ct cu t p u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (U_T ct cu t p u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := U_T ct cu t p u a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (U_T ct cu t p u a -> u0 b) -> (j := Primary (U_T ct cu t p u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (U_T ct cu t p u a -> u0 b) -> ((j :. k) := Primary (U_T ct cu t p u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (U_T ct cu t p u a -> u0 b) -> ((j :. (k :. l)) := Primary (U_T ct cu t p u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (U_T ct cu t p u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (U_T ct cu t p u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (UTU ct cu t u u')

Defined in Pandora.Paradigm.Schemes.UTU

Associated Types

type Primary (UTU ct cu t u u') a

Methods

run :: UTU ct cu t u u' a -> Primary (UTU ct cu t u u') a

unite :: Primary (UTU ct cu t u u') a -> UTU ct cu t u u' a

(||=) :: Interpreted u0 => (Primary (UTU ct cu t u u') a -> Primary u0 b) -> UTU ct cu t u u' a -> u0 b

(=||) :: Interpreted u0 => (UTU ct cu t u u' a -> u0 b) -> Primary (UTU ct cu t u u') a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (UTU ct cu t u u') a -> Primary u0 b) -> (j := UTU ct cu t u u' a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (UTU ct cu t u u') a -> Primary u0 b) -> ((j :. k) := UTU ct cu t u u' a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (UTU ct cu t u u') a -> Primary u0 b) -> ((j :. (k :. l)) := UTU ct cu t u u' a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (UTU ct cu t u u') a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := UTU ct cu t u u' a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (UTU ct cu t u u' a -> u0 b) -> (j := Primary (UTU ct cu t u u') a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (UTU ct cu t u u' a -> u0 b) -> ((j :. k) := Primary (UTU ct cu t u u') a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (UTU ct cu t u u' a -> u0 b) -> ((j :. (k :. l)) := Primary (UTU ct cu t u u') a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (UTU ct cu t u u' a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (UTU ct cu t u u') a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (T_U ct cu p t u)

Defined in Pandora.Paradigm.Schemes.T_U

Associated Types

type Primary (T_U ct cu p t u) a

Methods

run :: T_U ct cu p t u a -> Primary (T_U ct cu p t u) a

unite :: Primary (T_U ct cu p t u) a -> T_U ct cu p t u a

(||=) :: Interpreted u0 => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> T_U ct cu p t u a -> u0 b

(=||) :: Interpreted u0 => (T_U ct cu p t u a -> u0 b) -> Primary (T_U ct cu p t u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> (j := T_U ct cu p t u a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. k) := T_U ct cu p t u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. (k :. l)) := T_U ct cu p t u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (T_U ct cu p t u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := T_U ct cu p t u a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> (j := Primary (T_U ct cu p t u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> ((j :. k) := Primary (T_U ct cu p t u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> ((j :. (k :. l)) := Primary (T_U ct cu p t u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (T_U ct cu p t u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (T_U ct cu p t u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (TUT ct ct' cu t t' u)

Defined in Pandora.Paradigm.Schemes.TUT

Associated Types

type Primary (TUT ct ct' cu t t' u) a

Methods

run :: TUT ct ct' cu t t' u a -> Primary (TUT ct ct' cu t t' u) a

unite :: Primary (TUT ct ct' cu t t' u) a -> TUT ct ct' cu t t' u a

(||=) :: Interpreted u0 => (Primary (TUT ct ct' cu t t' u) a -> Primary u0 b) -> TUT ct ct' cu t t' u a -> u0 b

(=||) :: Interpreted u0 => (TUT ct ct' cu t t' u a -> u0 b) -> Primary (TUT ct ct' cu t t' u) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (TUT ct ct' cu t t' u) a -> Primary u0 b) -> (j := TUT ct ct' cu t t' u a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (TUT ct ct' cu t t' u) a -> Primary u0 b) -> ((j :. k) := TUT ct ct' cu t t' u a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (TUT ct ct' cu t t' u) a -> Primary u0 b) -> ((j :. (k :. l)) := TUT ct ct' cu t t' u a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (TUT ct ct' cu t t' u) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := TUT ct ct' cu t t' u a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (TUT ct ct' cu t t' u a -> u0 b) -> (j := Primary (TUT ct ct' cu t t' u) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (TUT ct ct' cu t t' u a -> u0 b) -> ((j :. k) := Primary (TUT ct ct' cu t t' u) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (TUT ct ct' cu t t' u a -> u0 b) -> ((j :. (k :. l)) := Primary (TUT ct ct' cu t t' u) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (TUT ct ct' cu t t' u a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (TUT ct ct' cu t t' u) a) -> (j :. (k :. (l :. m))) := Primary u0 b

Interpreted (TUVW ct cu cv cw t u v w)

Defined in Pandora.Paradigm.Schemes.TUVW

Associated Types

type Primary (TUVW ct cu cv cw t u v w) a

Methods

run :: TUVW ct cu cv cw t u v w a -> Primary (TUVW ct cu cv cw t u v w) a

unite :: Primary (TUVW ct cu cv cw t u v w) a -> TUVW ct cu cv cw t u v w a

(||=) :: Interpreted u0 => (Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b) -> TUVW ct cu cv cw t u v w a -> u0 b

(=||) :: Interpreted u0 => (TUVW ct cu cv cw t u v w a -> u0 b) -> Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b

(<$||=) :: (Covariant (->) (->) j, Interpreted u0) => (Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b) -> (j := TUVW ct cu cv cw t u v w a) -> j := u0 b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b) -> ((j :. k) := TUVW ct cu cv cw t u v w a) -> (j :. k) := u0 b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b) -> ((j :. (k :. l)) := TUVW ct cu cv cw t u v w a) -> (j :. (k :. l)) := u0 b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (Primary (TUVW ct cu cv cw t u v w) a -> Primary u0 b) -> ((j :. (k :. (l :. m))) := TUVW ct cu cv cw t u v w a) -> (j :. (k :. (l :. m))) := u0 b

(=||$>) :: (Covariant (->) (->) j, Interpreted u0) => (TUVW ct cu cv cw t u v w a -> u0 b) -> (j := Primary (TUVW ct cu cv cw t u v w) a) -> j := Primary u0 b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u0) => (TUVW ct cu cv cw t u v w a -> u0 b) -> ((j :. k) := Primary (TUVW ct cu cv cw t u v w) a) -> (j :. k) := Primary u0 b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u0) => (TUVW ct cu cv cw t u v w a -> u0 b) -> ((j :. (k :. l)) := Primary (TUVW ct cu cv cw t u v w) a) -> (j :. (k :. l)) := Primary u0 b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u0) => (TUVW ct cu cv cw t u v w a -> u0 b) -> ((j :. (k :. (l :. m))) := Primary (TUVW ct cu cv cw t u v w) a) -> (j :. (k :. (l :. m))) := Primary u0 b

(-=:) :: (Liftable (->) t, Interpreted (t u), Interpreted (t v), Covariant (->) (->) u) => (t u a -> t v b) -> u a -> Primary (t v) b