Core_via_pure_and_apply (preface.Preface_make.Indexed_applicative.Core_via_pure_and

Parameters

module Req : Preface_specs.Indexed_applicative.WITH_PURE_AND_APPLY

type ('a, 'index) t = ('a, 'index) Req.t

The type held by the Indexed Applicative.

include Preface_specs.Indexed_applicative.WITH_PURE
  with type ('a, 'index) t := ('a, 'index) t

include Preface_specs.Indexed_apply.WITH_APPLY
  with type ('a, 'index) t := ('a, 'index) t

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

May apply a function wrapped into an t to a value also wrapped into an t.

include Preface_specs.Indexed_applicative.WITH_PURE
  with type ('a, 'index) t := ('a, 'index) t

include Preface_specs.Indexed_apply.WITH_MAP_AND_PRODUCT
  with type ('a, 'index) t := ('a, 'index) t

include Preface_specs.Indexed_functor.WITH_MAP
  with type ('a, 'index) t := ('a, 'index) t

val map : ('a -> 'b) -> ('a, 'index) t -> ('b, 'index) t

Mapping over t from 'a to 'b.

include Preface_specs.Indexed_apply.WITH_PRODUCT
  with type ('a, 'index) t := ('a, 'index) t

val product : ('a, 'index) t -> ('b, 'index) t -> ('a * 'b, 'index) t

Monoidal product between two t.

include Preface_specs.Indexed_applicative.WITH_PURE
  with type ('a, 'index) t := ('a, 'index) t

val pure : 'a -> ('a, 'index) t

Lift a value from 'a into a new t.

include Preface_specs.Indexed_apply.WITH_LIFT2
  with type ('a, 'index) t := ('a, 'index) t

val lift2 : 
  ('a -> 'b -> 'c) ->
  ('a, 'index) t ->
  ('b, 'index) t ->
  ('c, 'index) t

Lift a binary function that acts on arbitrary values into a function that acts t values.