From 9a6e3fe764dc2543dfa94de20fe5eec42d6be705 Mon Sep 17 00:00:00 2001 From: herbelin Date: Sat, 29 Nov 2003 17:28:49 +0000 Subject: Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states par les fichiers nouvelle syntaxe git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Logic/RelationalChoice.v | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) (limited to 'theories/Logic/RelationalChoice.v') diff --git a/theories/Logic/RelationalChoice.v b/theories/Logic/RelationalChoice.v index 5addb4d244..c55095e473 100644 --- a/theories/Logic/RelationalChoice.v +++ b/theories/Logic/RelationalChoice.v @@ -10,8 +10,11 @@ (* This file axiomatizes the relational form of the axiom of choice *) -Axiom relational_choice : - (A:Type;B:Type;R: A->B->Prop) - ((x:A)(EX y:B|(R x y))) - -> (EXT R':A->B->Prop | - ((x:A)(EX y:B|(R x y)/\(R' x y)/\ ((y':B) (R' x y') -> y=y')))). +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')). \ No newline at end of file -- cgit v1.2.3