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(.module: lux)
(signature: #export (Functor f)
(: (All [a b]
(-> (-> a b)
(-> (f a) (f b))))
map))
(type: #export (Fix f)
(f (Fix f)))
(type: #export (And f g)
(All [a] (& (f a) (g a))))
(type: #export (Or f g)
(All [a] (| (f a) (g a))))
(type: #export (Then f g)
(All [a] (f (g a))))
(def: #export (compose (^open "f@.") (^open "g@."))
{#.doc "Functor composition."}
(All [F G] (-> (Functor F) (Functor G) (Functor (..Then F G))))
(structure
(def: (map f fga)
(f@map (g@map f) fga))))
(signature: #export (Contravariant f)
(: (All [a b]
(-> (-> b a)
(-> (f a) (f b))))
map-1))
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