package rocq-runtime

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The Rocq Prover -- Core Binaries and Tools

Install 

dune-project
 Dependency

rocq-prover.org Readme Edit opam file Versions (3)

Authors

  1. T
    The Rocq development team, INRIA, CNRS, and contributors

Maintainers

  1. T
    The Rocq development team <rocq+rocq-development@discoursemail.com>

Sources

rocq-9.0.1.tar.gz
sha256=051f7bf702ff0a3b370449728921e5a95e18bc2b31b8eb949d48422888c98af4

doc/rocq-runtime.clib/Monad/module-type-Def/index.html

Module type Monad.DefSource

A definition of monads, each of the combinators is used in the Make functor.

Sourcetype +'a t
Sourceval return : 'a -> 'a t
Sourceval (>>=) : 'a t -> ('a -> 'b t) -> 'b t
Sourceval (>>) : unit t -> 'a t -> 'a t
Sourceval map : ('a -> 'b) -> 'a t -> 'b t

The monadic laws must hold:

  • (x>>=f)>>=g = x>>=fun x' -> (f x'>>=g)
  • return a >>= f = f a
  • x>>=return = x

As well as the following identities:

  • x >> y = x >>= fun () -> y
  • map f x = x >>= fun x' -> f x'