Pandora.Paradigm.Primary.Functor.Product

Documentation

data Product a b

Constructors

a :*: b infixr 1

Instances

Bivariant Product

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(<->) :: (a -> b) -> (c -> d) -> Product a c -> Product b d

bimap :: (a -> b) -> (c -> d) -> Product a c -> Product b d

Covariant (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(<$>) :: (a0 -> b) -> Product a a0 -> Product a b

comap :: (a0 -> b) -> Product a a0 -> Product a b

(<$) :: a0 -> Product a b -> Product a a0

($>) :: Product a a0 -> b -> Product a b

void :: Product a a0 -> Product a ()

loeb :: Product a (a0 <-| Product a) -> Product a a0

(<&>) :: Product a a0 -> (a0 -> b) -> Product a b

(<$$>) :: Covariant u => (a0 -> b) -> ((Product a :. u) := a0) -> (Product a :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a0 -> b) -> ((Product a :. (u :. v)) := a0) -> (Product a :. (u :. v)) := b

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a0 -> b) -> ((Product a :. (u :. (v :. w))) := a0) -> (Product a :. (u :. (v :. w))) := b

(<&&>) :: Covariant u => ((Product a :. u) := a0) -> (a0 -> b) -> (Product a :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Product a :. (u :. v)) := a0) -> (a0 -> b) -> (Product a :. (u :. v)) := b

(<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Product a :. (u :. (v :. w))) := a0) -> (a0 -> b) -> (Product a :. (u :. (v :. w))) := b

Extendable (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(=>>) :: Product a a0 -> (Product a a0 -> b) -> Product a b

(<<=) :: (Product a a0 -> b) -> Product a a0 -> Product a b

extend :: (Product a a0 -> b) -> Product a a0 -> Product a b

duplicate :: Product a a0 -> (Product a :. Product a) := a0

(=<=) :: (Product a b -> c) -> (Product a a0 -> b) -> Product a a0 -> c

(=>=) :: (Product a a0 -> b) -> (Product a b -> c) -> Product a a0 -> c

($=>>) :: Covariant u => (Product a a0 -> b) -> ((u :. Product a) := a0) -> (u :. Product a) := b

(<<=$) :: Covariant u => ((u :. Product a) := a0) -> (Product a a0 -> b) -> (u :. Product a) := b

Traversable (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(->>) :: (Pointable u, Applicative u) => Product a a0 -> (a0 -> u b) -> (u :. Product a) := b

traverse :: (Pointable u, Applicative u) => (a0 -> u b) -> Product a a0 -> (u :. Product a) := b

sequence :: (Pointable u, Applicative u) => ((Product a :. u) := a0) -> (u :. Product a) := a0

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Product a) := a0) -> (a0 -> u b) -> (u :. (v :. Product a)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Product a)) := a0) -> (a0 -> u b) -> (u :. (w :. (v :. Product a))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Product a))) := a0) -> (a0 -> u b) -> (u :. (j :. (w :. (v :. Product a)))) := b

Extractable (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

extract :: a0 <-| Product a

Comonad (Product a)

Defined in Pandora.Paradigm.Primary.Functor.Product

Adjoint (Product a) ((->) a :: Type -> Type)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(-|) :: a0 -> (Product a a0 -> b) -> a -> b

(|-) :: Product a a0 -> (a0 -> a -> b) -> b

phi :: (Product a a0 -> b) -> a0 -> a -> b

psi :: (a0 -> a -> b) -> Product a a0 -> b

eta :: a0 -> ((->) a :. Product a) := a0

epsilon :: ((Product a :. (->) a) := a0) -> a0

(Semigroup a, Semigroup b) => Semigroup (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(+) :: Product a b -> Product a b -> Product a b

(Ringoid a, Ringoid b) => Ringoid (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(*) :: Product a b -> Product a b -> Product a b

(Monoid a, Monoid b) => Monoid (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

zero :: Product a b

(Quasiring a, Quasiring b) => Quasiring (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

one :: Product a b

(Group a, Group b) => Group (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

invert :: Product a b -> Product a b

(Supremum a, Supremum b) => Supremum (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(\/) :: Product a b -> Product a b -> Product a b

(Infimum a, Infimum b) => Infimum (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(/\) :: Product a b -> Product a b -> Product a b

(Lattice a, Lattice b) => Lattice (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

(Setoid a, Setoid b) => Setoid (Product a b)

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

(==) :: Product a b -> Product a b -> Boolean

(/=) :: Product a b -> Product a b -> Boolean

Monotonic e a => Monotonic (Product a e) a

Defined in Pandora.Paradigm.Primary.Functor.Product

Methods

iterate :: (a -> r -> r) -> r -> Product a e -> r

Covariant u => Covariant ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

(<$>) :: (a -> b) -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) b

comap :: (a -> b) -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) b

(<$) :: a -> (((->) s <:<.>:> (:*:) s) := u) b -> (((->) s <:<.>:> (:*:) s) := u) a

($>) :: (((->) s <:<.>:> (:*:) s) := u) a -> b -> (((->) s <:<.>:> (:*:) s) := u) b

void :: (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) ()

loeb :: (((->) s <:<.>:> (:*:) s) := u) (a <-| (((->) s <:<.>:> (:*:) s) := u)) -> (((->) s <:<.>:> (:*:) s) := u) a

(<&>) :: (((->) s <:<.>:> (:*:) s) := u) a -> (a -> b) -> (((->) s <:<.>:> (:*:) s) := u) b

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

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

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

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

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

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

Covariant u => Covariant (((:*:) p <:<.>:> ((->) p :: Type -> Type)) := u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

(<$>) :: (a -> b) -> (((:*:) p <:<.>:> (->) p) := u) a -> (((:*:) p <:<.>:> (->) p) := u) b

comap :: (a -> b) -> (((:*:) p <:<.>:> (->) p) := u) a -> (((:*:) p <:<.>:> (->) p) := u) b

(<$) :: a -> (((:*:) p <:<.>:> (->) p) := u) b -> (((:*:) p <:<.>:> (->) p) := u) a

($>) :: (((:*:) p <:<.>:> (->) p) := u) a -> b -> (((:*:) p <:<.>:> (->) p) := u) b

void :: (((:*:) p <:<.>:> (->) p) := u) a -> (((:*:) p <:<.>:> (->) p) := u) ()

loeb :: (((:*:) p <:<.>:> (->) p) := u) (a <-| (((:*:) p <:<.>:> (->) p) := u)) -> (((:*:) p <:<.>:> (->) p) := u) a

(<&>) :: (((:*:) p <:<.>:> (->) p) := u) a -> (a -> b) -> (((:*:) p <:<.>:> (->) p) := u) b

(<$$>) :: Covariant u0 => (a -> b) -> (((((:*:) p <:<.>:> (->) p) := u) :. u0) := a) -> ((((:*:) p <:<.>:> (->) p) := u) :. u0) := b

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

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

(<&&>) :: Covariant u0 => (((((:*:) p <:<.>:> (->) p) := u) :. u0) := a) -> (a -> b) -> ((((:*:) p <:<.>:> (->) p) := u) :. u0) := b

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

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

Covariant u => Covariant ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(<$>) :: (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

comap :: (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(<$) :: a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) a

($>) :: ((:*:) e <.:> u) a -> b -> ((:*:) e <.:> u) b

void :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) ()

loeb :: ((:*:) e <.:> u) (a <-| ((:*:) e <.:> u)) -> ((:*:) e <.:> u) a

(<&>) :: ((:*:) e <.:> u) a -> (a -> b) -> ((:*:) e <.:> u) b

(<$$>) :: Covariant u0 => (a -> b) -> ((((:*:) e <.:> u) :. u0) := a) -> (((:*:) e <.:> u) :. u0) := b

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

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

(<&&>) :: Covariant u0 => ((((:*:) e <.:> u) :. u0) := a) -> (a -> b) -> (((:*:) e <.:> u) :. u0) := b

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

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

Covariant u => Covariant ((:*:) e <:.> u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

(<$>) :: (a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

comap :: (a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

(<$) :: a -> ((:*:) e <:.> u) b -> ((:*:) e <:.> u) a

($>) :: ((:*:) e <:.> u) a -> b -> ((:*:) e <:.> u) b

void :: ((:*:) e <:.> u) a -> ((:*:) e <:.> u) ()

loeb :: ((:*:) e <:.> u) (a <-| ((:*:) e <:.> u)) -> ((:*:) e <:.> u) a

(<&>) :: ((:*:) e <:.> u) a -> (a -> b) -> ((:*:) e <:.> u) b

(<$$>) :: Covariant u0 => (a -> b) -> ((((:*:) e <:.> u) :. u0) := a) -> (((:*:) e <:.> u) :. u0) := b

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

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

(<&&>) :: Covariant u0 => ((((:*:) e <:.> u) :. u0) := a) -> (a -> b) -> (((:*:) e <:.> u) :. u0) := b

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

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

Bindable u => Bindable ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

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

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

bind :: (a -> (((->) s <:<.>:> (:*:) s) := u) b) -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) b

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

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

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

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

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

(Semigroup e, Pointable u, Bindable u) => Bindable ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(>>=) :: ((:*:) e <.:> u) a -> (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) b

(=<<) :: (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

bind :: (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

join :: ((((:*:) e <.:> u) :. ((:*:) e <.:> u)) := a) -> ((:*:) e <.:> u) a

(>=>) :: (a -> ((:*:) e <.:> u) b) -> (b -> ((:*:) e <.:> u) c) -> a -> ((:*:) e <.:> u) c

(<=<) :: (b -> ((:*:) e <.:> u) c) -> (a -> ((:*:) e <.:> u) b) -> a -> ((:*:) e <.:> u) c

($>>=) :: Covariant u0 => (a -> ((:*:) e <.:> u) b) -> ((u0 :. ((:*:) e <.:> u)) := a) -> (u0 :. ((:*:) e <.:> u)) := b

(<>>=) :: (((:*:) e <.:> u) b -> c) -> (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> c

Bindable u => Applicative ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

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

apply :: (((->) s <:<.>:> (:*:) s) := u) (a -> b) -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) b

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

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

forever :: (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) b

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

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

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

(Semigroup e, Applicative u) => Applicative ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(<*>) :: ((:*:) e <.:> u) (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

apply :: ((:*:) e <.:> u) (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(*>) :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) b

(<*) :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) a

forever :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(<**>) :: Applicative u0 => ((((:*:) e <.:> u) :. u0) := (a -> b)) -> ((((:*:) e <.:> u) :. u0) := a) -> (((:*:) e <.:> u) :. u0) := b

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

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

Alternative u => Alternative ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

(<+>) :: (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) a

alter :: (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) a -> (((->) s <:<.>:> (:*:) s) := u) a

Avoidable u => Avoidable ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

empty :: (((->) s <:<.>:> (:*:) s) := u) a

Extendable u => Extendable (((:*:) p <:<.>:> ((->) p :: Type -> Type)) := u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

(=>>) :: (((:*:) p <:<.>:> (->) p) := u) a -> ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> (((:*:) p <:<.>:> (->) p) := u) b

(<<=) :: ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> (((:*:) p <:<.>:> (->) p) := u) a -> (((:*:) p <:<.>:> (->) p) := u) b

extend :: ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> (((:*:) p <:<.>:> (->) p) := u) a -> (((:*:) p <:<.>:> (->) p) := u) b

duplicate :: (((:*:) p <:<.>:> (->) p) := u) a -> ((((:*:) p <:<.>:> (->) p) := u) :. (((:*:) p <:<.>:> (->) p) := u)) := a

(=<=) :: ((((:*:) p <:<.>:> (->) p) := u) b -> c) -> ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> (((:*:) p <:<.>:> (->) p) := u) a -> c

(=>=) :: ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> ((((:*:) p <:<.>:> (->) p) := u) b -> c) -> (((:*:) p <:<.>:> (->) p) := u) a -> c

($=>>) :: Covariant u0 => ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> ((u0 :. (((:*:) p <:<.>:> (->) p) := u)) := a) -> (u0 :. (((:*:) p <:<.>:> (->) p) := u)) := b

(<<=$) :: Covariant u0 => ((u0 :. (((:*:) p <:<.>:> (->) p) := u)) := a) -> ((((:*:) p <:<.>:> (->) p) := u) a -> b) -> (u0 :. (((:*:) p <:<.>:> (->) p) := u)) := b

Extendable u => Extendable ((:*:) e <:.> u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

(=>>) :: ((:*:) e <:.> u) a -> (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) b

(<<=) :: (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

extend :: (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> ((:*:) e <:.> u) b

duplicate :: ((:*:) e <:.> u) a -> (((:*:) e <:.> u) :. ((:*:) e <:.> u)) := a

(=<=) :: (((:*:) e <:.> u) b -> c) -> (((:*:) e <:.> u) a -> b) -> ((:*:) e <:.> u) a -> c

(=>=) :: (((:*:) e <:.> u) a -> b) -> (((:*:) e <:.> u) b -> c) -> ((:*:) e <:.> u) a -> c

($=>>) :: Covariant u0 => (((:*:) e <:.> u) a -> b) -> ((u0 :. ((:*:) e <:.> u)) := a) -> (u0 :. ((:*:) e <:.> u)) := b

(<<=$) :: Covariant u0 => ((u0 :. ((:*:) e <:.> u)) := a) -> (((:*:) e <:.> u) a -> b) -> (u0 :. ((:*:) e <:.> u)) := b

Pointable u => Pointable ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Methods

point :: a |-> (((->) s <:<.>:> (:*:) s) := u)

(Pointable u, Monoid e) => Pointable ((:*:) e <.:> u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

point :: a |-> ((:*:) e <.:> u)

Monad u => Monad ((((->) s :: Type -> Type) <:<.>:> (:*:) s) := u)

Defined in Pandora.Paradigm.Inventory.State

Extractable u => Extractable (((:*:) p <:<.>:> ((->) p :: Type -> Type)) := u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

extract :: a <-| (((:*:) p <:<.>:> (->) p) := u)

Extractable u => Extractable ((:*:) e <:.> u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

extract :: a <-| ((:*:) e <:.> u)

type (:*:) = Product infixr 1

delta :: a -> a :*: a

swap :: (a :*: b) -> b :*: a

attached :: (a :*: b) -> a

curry :: ((a :*: b) -> c) -> a -> b -> c

uncurry :: (a -> b -> c) -> (a :*: b) -> c