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(.using
 [library
  [lux (.full)
   [abstract
    [functor (.only Functor)]
    [apply (.only Apply)]
    [monad (.only Monad)]
    [comonad (.only CoMonad)]]
   [control
    ["[0]" function]]]])

(type: .public (Identity a)
  a)

(implementation: .public functor
  (Functor Identity)

  (def: each function.identity))

(implementation: .public apply
  (Apply Identity)

  (def: functor ..functor)
  (def: (on fa ff)
    (ff fa)))

(implementation: .public monad
  (Monad Identity)
  
  (def: functor ..functor)
  (def: in function.identity)
  (def: conjoint function.identity))

(implementation: .public comonad
  (CoMonad Identity)
  
  (def: functor ..functor)
  (def: out function.identity)
  (def: disjoint function.identity))