blob: 85da26b3c020ca8d6051510b807af6014ffecb32 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *)
(* \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,
subrelation R' R /\ forall x : A, exists! y : B, R' x y.
|