package coq-core

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The Coq Proof Assistant -- Core Binaries and Tools

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coq-8.20.0.tar.gz
md5=66e57ea55275903bef74d5bf36fbe0f1
sha512=1a7eac6e2f58724a3f9d68bbb321e4cfe963ba1a5551b9b011db4b3f559c79be433d810ff262593d753770ee41ea68fbd6a60daa1e2319ea00dff64c8851d70b

doc/coq-core.engine/Evd/Monad/index.html

Module Evd.Monad

include Monad.Def with type +'a t = evar_map -> 'a * evar_map
type +'a t = evar_map -> 'a * evar_map
val return : 'a -> 'a t
val (>>=) : 'a t -> ('a -> 'b t) -> 'b t
val (>>) : unit t -> 'a t -> 'a t
val 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'
module List : Monad.ListS with type 'a t := 'a t
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