package alg_structs

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The Seed needed to generate an implementation of Applicative

include Functor.S
include Functor.Seed
type 'a t

The principle type.

The type constructor t is the mapping of objects taking every type 'a to a type 'a t.

val map : f:('a -> 'b) -> 'a t -> 'b t

map ~f maps the function f : 'a -> 'b to a function 'f T : 'a T -> 'b T.

As an example, if T (x : u) : u t then map ~(f:u -> v) (T x) is T (f x) : v t. As a result, map is often thought of as applying f "in" T.

The function map is the mapping of arrows, taking every arrow 'a -> 'b to an arrow 'a t -> 'b t.

val (<@>) : ('a -> 'b) -> 'a t -> 'b t

Infix for map

val (|>>) : 'a t -> ('a -> 'b) -> 'b t

Mapped version of |> (which is flipped (<&>))

val return : 'a -> 'a t

return x is the minimal value of x in t

val apply : ('a -> 'b) t -> 'a t -> 'b t

apply (F f) (F x) is F (f x), i.e., f applied to x in t


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