diff options
| author |  Samuel Mimram <smimram@debian.org> | 2006-06-16 14:41:51 +0000 |
|---|---|---|
| committer | Samuel Mimram <smimram@debian.org> | 2006-06-16 14:41:51 +0000 |
| commit | e978da8c41d8a3c19a29036d9c569fbe2a4616b0 (patch) | |
| tree | 0de2a907ee93c795978f3c843155bee91c11ed60 /theories/Logic/RelationalChoice.v | |
| parent | 3ef7797ef6fc605dfafb32523261fe1b023aeecb (diff) | |
Imported Upstream version 8.0pl3+8.1betaupstream/8.0pl3+8.1beta
Diffstat (limited to 'theories/Logic/RelationalChoice.v')
| -rw-r--r-- | theories/Logic/RelationalChoice.v | 15 |
1 files changed, 6 insertions, 9 deletions
diff --git a/theories/Logic/RelationalChoice.v b/theories/Logic/RelationalChoice.v index 11979057..ec168f09 100644 --- a/theories/Logic/RelationalChoice.v +++ b/theories/Logic/RelationalChoice.v @@ -6,15 +6,12 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: RelationalChoice.v 6001 2004-08-01 09:27:26Z herbelin $ i*) +(*i $Id: RelationalChoice.v 8892 2006-06-04 17:59:53Z herbelin $ 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')). +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. |