package preface

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Laws
Minimal definition
Structure anatomy
Complete API
Additional references

package preface

preface
- Preface
preface.core
- Preface_core
  - Fun
    
    Infix
  - Monoid
  - Nonempty_list
  - Shims
    
    Either
  - Void
preface.stdlib
- Preface_stdlib
  - Approximation
    
    Over
    
    Applicative
    
    Infix
    
    Syntax
    
    M
    
    Infix
    
    Selective
    
    Infix
    
    Syntax
    
    Under
    
    Applicative
    
    Infix
    
    Syntax
    
    M
    
    Infix
    
    Selective
    
    Infix
    
    Syntax
  - Continuation
    
    Applicative
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
  - Either
    
    Alt
    
    Infix
    
    T
    
    Applicative
    
    Infix
    
    Syntax
    
    T
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Bifunctor
    
    Foldable
    
    T
    
    Functor
    
    Infix
    
    T
    
    Invariant
    
    T
    
    Monad
    
    Infix
    
    Syntax
    
    T
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
    
    T
  - Env
    
    Over
    
    Comonad
    
    Infix
    
    Syntax
    
    Env
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Local
    
    Env
    
    Syntax
  - Exn
  - Fun
    
    Arrow
    
    Infix
    
    Arrow_apply
    
    Infix
    
    Arrow_choice
    
    Infix
    
    Category
    
    Infix
    
    Choice
    
    Closed
    
    Infix
    
    Profunctor
    
    Semigroupoid
    
    Infix
    
    Strong
  - Identity
    
    Applicative
    
    Infix
    
    Syntax
    
    Comonad
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
  - List
    
    Alternative
    
    Infix
    
    Syntax
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Monad_plus
    
    Infix
    
    Syntax
    
    Monoid
    
    Infix
    
    T
    
    Selective
    
    Infix
    
    Syntax
  - Nonempty_list
    
    Alt
    
    Infix
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Comonad
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
    
    Semigroup
    
    Infix
    
    T
  - Option
    
    Alternative
    
    Infix
    
    Syntax
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Monad_plus
    
    Infix
    
    Syntax
    
    Monoid
    
    Infix
    
    M
    
    Infix
    
    Selective
    
    Infix
    
    Syntax
  - Pair
    
    Bifunctor
    
    Infix
  - Predicate
    
    Contravariant
    
    Infix
    
    Decidable
    
    Infix
    
    Divisible
    
    Infix
    
    Infix
    
    Invariant
  - Reader
    
    Over
    
    Applicative
    
    Infix
    
    Syntax
    
    Env
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Syntax
  - Result
    
    Alt
    
    Infix
    
    T
    
    Applicative
    
    Infix
    
    Syntax
    
    T
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Bifunctor
    
    Foldable
    
    T
    
    Functor
    
    Infix
    
    T
    
    Invariant
    
    T
    
    Monad
    
    Infix
    
    Syntax
    
    T
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
    
    T
  - Seq
    
    Alternative
    
    Infix
    
    Syntax
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Monad_plus
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
  - State
    
    Over
    
    Applicative
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    State
    
    Syntax
  - Store
    
    Over
    
    Comonad
    
    Infix
    
    Syntax
    
    Experiment
    
    F
    
    Infix
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Store
    
    Syntax
  - Stream
    
    Applicative
    
    Infix
    
    Syntax
    
    Comonad
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
  - Traced
    
    Over
    
    Comonad
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Syntax
    
    Tape
    
    Infix
  - Try
    
    Alt
    
    Infix
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
  - Validate
    
    Alt
    
    Infix
    
    Applicative
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Foldable
    
    Functor
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Infix
    
    Syntax
  - Validation
    
    Alt
    
    Errors
    
    Infix
    
    Infix
    
    Applicative
    
    Errors
    
    Infix
    
    Infix
    
    Syntax
    
    Traversable
    
    A
    
    Infix
    
    Syntax
    
    Bifunctor
    
    Foldable
    
    T
    
    Functor
    
    Infix
    
    T
    
    Invariant
    
    T
    
    Monad
    
    Infix
    
    Syntax
    
    T
    
    Traversable
    
    M
    
    Infix
    
    Syntax
    
    Selective
    
    Errors
    
    Infix
    
    Infix
    
    Syntax
  - Void
  - Writer
    
    Over
    
    Applicative
    
    Infix
    
    Syntax
    
    Functor
    
    Infix
    
    Infix
    
    Invariant
    
    Monad
    
    Infix
    
    Syntax
    
    Syntax
    
    Tape
    
    Infix

Legend:
Library
Module
Module type
Parameter
Class
Class type

A Semigroupoid is Category without the identity.

Laws

To have a predictable behaviour, the instance of Semigroupoid must obey one law.

f % (g % h) = (f % g) % h

Minimal definition

module type WITH_COMPOSE = sig ... end

Minimal interface using id and compose.

Structure anatomy

module type CORE = WITH_COMPOSE

Basis operations.

module type OPERATION = sig ... end

Additional operations.

module type INFIX = sig ... end

Infix operators.

Complete API

module type API = sig ... end

The complete interface of a Semigroupoid.

Additional references

Haskell's documentation of Semigroupoid