(***********************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
(*   \VV/  *************************************************************)
(*    //   *      This file is distributed under the terms of the      *)
(*         *       GNU Lesser General Public License Version 2.1       *)
(***********************************************************************)

(*i $Id$ i*)

(* This file axiomatizes the relational form of the axiom of choice *)

Axiom
  relational_choice :
    forall (A B:Type) (R:A -> B -> Prop),
      (forall x:A,  exists y : B | R x y) ->
       exists R' : A -> B -> Prop
      | (forall x:A,
            exists y : B
           | R x y /\ R' x y /\ (forall y':B, R' x y' -> y = y')).