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Diffstat (limited to 'theories/Logic/RelationalChoice.v')
| -rw-r--r-- | theories/Logic/RelationalChoice.v | 20 |
1 files changed, 20 insertions, 0 deletions
diff --git a/theories/Logic/RelationalChoice.v b/theories/Logic/RelationalChoice.v new file mode 100644 index 00000000..ca7b760e --- /dev/null +++ b/theories/Logic/RelationalChoice.v @@ -0,0 +1,20 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) + +(*i $Id: RelationalChoice.v,v 1.3.2.1 2004/07/16 19:31:06 herbelin Exp $ 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')). |