Pandora.Paradigm.Basis.Product

Documentation

data Product a b

Constructors

a :*: b infixr 1

Instances

Bivariant Product

Defined in Pandora.Paradigm.Basis.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.Basis.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.Basis.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

Traversable (Product a)

Defined in Pandora.Paradigm.Basis.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.Basis.Product

Methods

extract :: a0 <-| Product a

Comonad (Product a)

Defined in Pandora.Paradigm.Basis.Product

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

Defined in Pandora.Paradigm.Basis.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.Basis.Product

Methods

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

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

Defined in Pandora.Paradigm.Basis.Product

Methods

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

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

Defined in Pandora.Paradigm.Basis.Product

Methods

zero :: Product a b

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

Defined in Pandora.Paradigm.Basis.Product

Methods

one :: Product a b

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

Defined in Pandora.Paradigm.Basis.Product

Methods

invert :: Product a b -> Product a b

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

Defined in Pandora.Paradigm.Basis.Product

Methods

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

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

Defined in Pandora.Paradigm.Basis.Product

Methods

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

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

Defined in Pandora.Paradigm.Basis.Product

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

Defined in Pandora.Paradigm.Basis.Product

Methods

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

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

Covariant u => Covariant (UT Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

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

comap :: (a -> b) -> UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b

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

($>) :: UT Covariant Covariant ((:*:) e) u a -> b -> UT Covariant Covariant ((:*:) e) u b

void :: UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u ()

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

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

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

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

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

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

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

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

Covariant u => Covariant (TU Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

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

comap :: (a -> b) -> TU Covariant Covariant ((:*:) e) u a -> TU Covariant Covariant ((:*:) e) u b

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

($>) :: TU Covariant Covariant ((:*:) e) u a -> b -> TU Covariant Covariant ((:*:) e) u b

void :: TU Covariant Covariant ((:*:) e) u a -> TU Covariant Covariant ((:*:) e) u ()

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

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

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

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

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

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

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

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

(Semigroup e, Pointable u, Bindable u) => Bindable (UT Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(>>=) :: UT Covariant Covariant ((:*:) e) u a -> (a -> UT Covariant Covariant ((:*:) e) u b) -> UT Covariant Covariant ((:*:) e) u b

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

bind :: (a -> UT Covariant Covariant ((:*:) e) u b) -> UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b

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

(>=>) :: (a -> UT Covariant Covariant ((:*:) e) u b) -> (b -> UT Covariant Covariant ((:*:) e) u c) -> a -> UT Covariant Covariant ((:*:) e) u c

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

(Semigroup e, Applicative u) => Applicative (UT Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(<*>) :: UT Covariant Covariant ((:*:) e) u (a -> b) -> UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b

apply :: UT Covariant Covariant ((:*:) e) u (a -> b) -> UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b

(*>) :: UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b -> UT Covariant Covariant ((:*:) e) u b

(<*) :: UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b -> UT Covariant Covariant ((:*:) e) u a

forever :: UT Covariant Covariant ((:*:) e) u a -> UT Covariant Covariant ((:*:) e) u b

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

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

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

Extendable u => Extendable (TU Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

(=>>) :: TU Covariant Covariant ((:*:) e) u a -> (TU Covariant Covariant ((:*:) e) u a -> b) -> TU Covariant Covariant ((:*:) e) u b

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

extend :: (TU Covariant Covariant ((:*:) e) u a -> b) -> TU Covariant Covariant ((:*:) e) u a -> TU Covariant Covariant ((:*:) e) u b

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

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

(=>=) :: (TU Covariant Covariant ((:*:) e) u a -> b) -> (TU Covariant Covariant ((:*:) e) u b -> c) -> TU Covariant Covariant ((:*:) e) u a -> c

(Pointable u, Monoid e) => Pointable (UT Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

point :: a |-> UT Covariant Covariant ((:*:) e) u

Extractable u => Extractable (TU Covariant Covariant ((:*:) e) u)

Defined in Pandora.Paradigm.Inventory.Equipment

Methods

extract :: a <-| TU Covariant Covariant ((:*:) e) u

Covariant u => Covariant (TUT Covariant Covariant Covariant ((->) s :: Type -> Type) ((:*:) s) u)

Defined in Pandora.Paradigm.Inventory.State

Methods

(<$>) :: (a -> b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

comap :: (a -> b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

(<$) :: a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a

($>) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> b -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

void :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u ()

loeb :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u (a <-| TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a

(<&>) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> (a -> b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

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

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

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

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

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

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

Covariant u => Covariant (TUT Covariant Covariant Covariant ((:*:) p) ((->) p :: Type -> Type) u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

(<$>) :: (a -> b) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

comap :: (a -> b) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

(<$) :: a -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a

($>) :: TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> b -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

void :: TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u ()

loeb :: TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u (a <-| TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a

(<&>) :: TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> (a -> b) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

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

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

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

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

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

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

Bindable u => Bindable (TUT Covariant Covariant Covariant ((->) s :: Type -> Type) ((:*:) s) u)

Defined in Pandora.Paradigm.Inventory.State

Methods

(>>=) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> (a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

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

bind :: (a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

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

(>=>) :: (a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b) -> (b -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u c) -> a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u c

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

Bindable u => Applicative (TUT Covariant Covariant Covariant ((->) s :: Type -> Type) ((:*:) s) u)

Defined in Pandora.Paradigm.Inventory.State

Methods

(<*>) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u (a -> b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

apply :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u (a -> b) -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

(*>) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

(<*) :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a

forever :: TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u a -> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u b

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

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

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

Extendable u => Extendable (TUT Covariant Covariant Covariant ((:*:) p) ((->) p :: Type -> Type) u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

(=>>) :: TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> (TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> b) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

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

extend :: (TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> b) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b

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

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

(=>=) :: (TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> b) -> (TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u b -> c) -> TUT Covariant Covariant Covariant ((:*:) p) ((->) p) u a -> c

Pointable u => Pointable (TUT Covariant Covariant Covariant ((->) s :: Type -> Type) ((:*:) s) u)

Defined in Pandora.Paradigm.Inventory.State

Methods

point :: a |-> TUT Covariant Covariant Covariant ((->) s) ((:*:) s) u

Monad u => Monad (TUT Covariant Covariant Covariant ((->) s :: Type -> Type) ((:*:) s) u)

Defined in Pandora.Paradigm.Inventory.State

Extractable u => Extractable (TUT Covariant Covariant Covariant ((:*:) p) ((->) p :: Type -> Type) u)

Defined in Pandora.Paradigm.Inventory.Store

Methods

extract :: a <-| TUT Covariant Covariant Covariant ((:*:) p) ((->) p) 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