Category (preface.Preface

Using the minimal definition

Using id and compose

Build a Preface_specs.CATEGORY using Preface_specs.Category.WITH_ID_AND_COMPOSE.

Standard method, using the minimal definition of an alt to derive its full API.

module Via_id_and_compose
  (Req : Preface_specs.Category.WITH_ID_AND_COMPOSE) : 
  Preface_specs.CATEGORY with type ('a, 'b) t = ('a, 'b) Req.t

Using a Semigroupoid and id

Build a Preface_specs.CATEGORY over Preface_specs.Semigroupoid.CORE using Preface_specs.Category.WITH_ID.

Standard method, using the minimal definition of an alt to derive its full API.

module Over_semigroupoid
  (G : Preface_specs.Semigroupoid.CORE)
  (Req : Preface_specs.Category.WITH_ID with type ('a, 'b) t = ('a, 'b) G.t) : 
  Preface_specs.CATEGORY with type ('a, 'b) t = ('a, 'b) Req.t

Category Algebra

Construction of Preface_specs.CATEGORY by combining them.

Product

Construct the product of two Preface_specs.CATEGORY.

module Product
  (F : Preface_specs.CATEGORY)
  (G : Preface_specs.CATEGORY) : 
  Preface_specs.CATEGORY with type ('a, 'b) t = ('a, 'b) F.t * ('a, 'b) G.t

From other abstraction

From a Monad

Produces a Preface_specs.CATEGORY from a Preface_specs.MONAD.

module From_monad
  (Monad : Preface_specs.Monad.CORE) : 
  Preface_specs.CATEGORY with type ('a, 'b) t = 'a -> 'b Monad.t

Manual construction

Advanced way to build a Preface_specs.CATEGORY, constructing and assembling a component-by-component of Preface_specs.CATEGORY. (In order to provide your own implementation for some features.)

Grouping of all components

module Via
  (Core : Preface_specs.Category.CORE)
  (Operation : 
    Preface_specs.Category.OPERATION with type ('a, 'b) t = ('a, 'b) Core.t)
  (Infix : 
    Preface_specs.Category.INFIX with type ('a, 'b) t = ('a, 'b) Operation.t) : 
  Preface_specs.CATEGORY with type ('a, 'b) t = ('a, 'b) Infix.t

Building Core

module Core
  (Req : Preface_specs.Category.WITH_ID_AND_COMPOSE) : 
  Preface_specs.Category.CORE with type ('a, 'b) t = ('a, 'b) Req.t

Deriving Operation

module Operation
  (Core : Preface_specs.Category.CORE) : 
  Preface_specs.Category.OPERATION with type ('a, 'b) t = ('a, 'b) Core.t

Deriving Infix

module Infix
  (Core : Preface_specs.Category.CORE) : 
  Preface_specs.Category.INFIX with type ('a, 'b) t = ('a, 'b) Core.t