Pandora.Pattern.Functor.Monoidal

Documentation

type family Unit (p :: * -> * -> *) = r | r -> p

Instances

type Unit (:+:)

Defined in Pandora.Paradigm.Algebraic.Functor

type Unit (:+:) = Zero

type Unit (:*:)

Defined in Pandora.Paradigm.Algebraic.Functor

type Unit (:*:) = One

class Semimonoidal p source target t => Monoidal p q source target t | p target -> source where

Methods

unit :: Proxy source -> p (q (Unit target) a) (t a)

Instances

Monoidal (-->) (-->) (:*:) (:+:) Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> Maybe a

Monoidal (-->) (-->) (:*:) (:*:) Exactly

Defined in Pandora.Paradigm.Primary.Functor.Exactly

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Exactly a

Monoidal (-->) (-->) (:*:) (:*:) Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Maybe a

Monoidal (-->) (<--) (:*:) (:*:) Predicate

Defined in Pandora.Paradigm.Primary.Functor.Predicate

Methods

unit :: Proxy (:*:) -> (Unit (:*:) <-- a) --> Predicate a

Monoidal (<--) (-->) (:*:) (:*:) Exactly

Defined in Pandora.Paradigm.Primary.Functor.Exactly

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Exactly a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t, Semimonoidal (-->) (:*:) (:*:) (Construction t), Semimonoidal (-->) (:*:) (:+:) t, Semimonoidal (-->) (:*:) (:+:) (Construction t), Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (Comprehension t)

Defined in Pandora.Paradigm.Structure.Modification.Comprehension

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> Comprehension t a

Monoidal (-->) (-->) (:*:) (:*:) ((:+:) e)

Defined in Pandora.Paradigm.Algebraic

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (e :+: a)

Semigroup e => Monoidal (-->) (-->) (:*:) (:*:) (Validation e)

Defined in Pandora.Paradigm.Primary.Functor.Validation

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Validation e a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t) => Monoidal (-->) (-->) (:*:) (:*:) (Instruction t)

Defined in Pandora.Paradigm.Primary.Transformer.Instruction

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Instruction t a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (-->) (:*:) (:*:) t, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:*:) (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Construction t a

Monoidal (-->) (-->) (:*:) (:*:) (Conclusion e)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Conclusion e a

Monoidal (-->) (-->) (:*:) (:*:) (State s)

Defined in Pandora.Paradigm.Inventory.Some.State

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> State s a

Monoidal (-->) (-->) (:*:) (:*:) (Provision e)

Defined in Pandora.Paradigm.Inventory.Some.Provision

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Provision e a

Monoid r => Monoidal (-->) (<--) (:*:) (:*:) (Convergence r)

Defined in Pandora.Paradigm.Primary.Functor.Convergence

Methods

unit :: Proxy (:*:) -> (Unit (:*:) <-- a) --> Convergence r a

Monoidal (<--) (-->) (:*:) (:*:) ((:*:) s)

Defined in Pandora.Paradigm.Algebraic

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (s :*: a)

Semimonoidal (<--) (:*:) (:*:) t => Monoidal (<--) (-->) (:*:) (:*:) (Tap t)

Defined in Pandora.Paradigm.Primary.Transformer.Tap

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Tap t a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Semimonoidal (<--) (:*:) (:*:) t) => Monoidal (<--) (-->) (:*:) (:*:) (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Construction t a

Monoidal (<--) (-->) (:*:) (:*:) (Store s)

Defined in Pandora.Paradigm.Inventory.Some.Store

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Store s a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> Reverse t a

Monoidal (-->) (-->) (:*:) (:*:) (Flip Conclusion a)

Defined in Pandora.Paradigm.Primary.Functor.Conclusion

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a0) --> Flip Conclusion a a0

Monoidal (-->) (-->) (:*:) (:*:) (Tagged tag)

Defined in Pandora.Paradigm.Primary.Functor.Tagged

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Tagged tag a

Monoidal (-->) (-->) (:*:) (:*:) (Schematic Monad t u) => Monoidal (-->) (-->) (:*:) (:*:) (t :> u)

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

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t :> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (-->) (-->) (:*:) (:*:) t) => Monoidal (-->) (-->) (:*:) (:*:) (Backwards t)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Backwards t a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (-->) (-->) (:*:) (:*:) t) => Monoidal (-->) (-->) (:*:) (:*:) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> Reverse t a

Monoidal (-->) (-->) (:*:) (:*:) (Schematic Comonad t u) => Monoidal (-->) (-->) (:*:) (:*:) (t :< u)

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

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t :< u) a

Monoidal (<--) (-->) (:*:) (:*:) (Flip (:*:) a)

Defined in Pandora.Paradigm.Algebraic

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a0) <-- Flip (:*:) a a0

Monoidal (<--) (-->) (:*:) (:*:) (Tagged tag)

Defined in Pandora.Paradigm.Primary.Functor.Tagged

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Tagged tag a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) (-->) (:*:) (:*:) t) => Monoidal (<--) (-->) (:*:) (:*:) (Backwards t)

Defined in Pandora.Paradigm.Primary.Transformer.Backwards

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Backwards t a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) (-->) (:*:) (:*:) t) => Monoidal (<--) (-->) (:*:) (:*:) (Reverse t)

Defined in Pandora.Paradigm.Primary.Transformer.Reverse

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- Reverse t a

(Monoidal (-->) (-->) (:*:) (:+:) t, Monoidal (-->) (-->) (:*:) (:+:) u) => Monoidal (-->) (-->) (:*:) (:+:) (t <:*:> u)

Defined in Pandora.Paradigm.Algebraic

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> (t <:*:> u) a

Monoidal (-->) (-->) (:*:) (:*:) ((->) e :: Type -> Type)

Defined in Pandora.Paradigm.Algebraic

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (e -> a)

Semimonoidal (<--) (:*:) (:*:) t => Monoidal (<--) (-->) (:*:) (:*:) (Exactly <:*:> t)

Defined in Pandora.Paradigm.Structure.Interface.Zipper

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (Exactly <:*:> t) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) t, Semimonoidal (-->) (:*:) (:+:) u, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> (t <:.> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t', Semimonoidal (-->) (:*:) (:+:) t, Monoidal (-->) (-->) (:*:) (:+:) t) => Monoidal (-->) (-->) (:*:) (:+:) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:+:) --> a) --> (t <::> t') a

(Bindable ((->) :: Type -> Type -> Type) u, Monoidal (-->) (-->) (:*:) (:*:) u, Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t' t) => Monoidal (-->) (-->) (:*:) (:*:) ((t <:<.>:> t') >>>>>>>> u)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> ((t <:<.>:> t') >>>>>>>> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) u, Monoidal (-->) (-->) (:*:) (:*:) t, Monoidal (-->) (-->) (:*:) (:*:) u) => Monoidal (-->) (-->) (:*:) (:*:) (t <.:> u)

Defined in Pandora.Paradigm.Schemes.UT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t <.:> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (-->) (:*:) (:*:) u, Monoidal (-->) (-->) (:*:) (:*:) t, Monoidal (-->) (-->) (:*:) (:*:) u) => Monoidal (-->) (-->) (:*:) (:*:) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t <:.> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t', Semimonoidal (-->) (:*:) (:*:) t', Monoidal (-->) (-->) (:*:) (:*:) t, Monoidal (-->) (-->) (:*:) (:*:) t') => Monoidal (-->) (-->) (:*:) (:*:) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) --> (t <::> t') a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Semimonoidal (<--) (:*:) (:*:) t, Semimonoidal (<--) (:*:) (:*:) t', Monoidal (<--) (-->) (:*:) (:*:) u, Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t t') => Monoidal (<--) (-->) (:*:) (:*:) ((t <:<.>:> t') >>>>>>>> u)

Defined in Pandora.Paradigm.Schemes.TUT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- ((t <:<.>:> t') >>>>>>>> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) u, Monoidal (<--) (-->) (:*:) (:*:) t, Monoidal (<--) (-->) (:*:) (:*:) u) => Monoidal (<--) (-->) (:*:) (:*:) (t <.:> u)

Defined in Pandora.Paradigm.Schemes.UT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (t <.:> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) (-->) (:*:) (:*:) t, Monoidal (<--) (-->) (:*:) (:*:) u) => Monoidal (<--) (-->) (:*:) (:*:) (t <:.> u)

Defined in Pandora.Paradigm.Schemes.TU

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (t <:.> u) a

(Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) t, Monoidal (<--) (-->) (:*:) (:*:) t, Monoidal (<--) (-->) (:*:) (:*:) t') => Monoidal (<--) (-->) (:*:) (:*:) (t <::> t')

Defined in Pandora.Paradigm.Schemes.TT

Methods

unit :: Proxy (:*:) -> (Unit (:*:) --> a) <-- (t <::> t') a