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Diffstat (limited to 'theories7/Logic/RelationalChoice.v')
| -rw-r--r-- | theories7/Logic/RelationalChoice.v | 17 |
1 files changed, 17 insertions, 0 deletions
diff --git a/theories7/Logic/RelationalChoice.v b/theories7/Logic/RelationalChoice.v new file mode 100644 index 00000000..e61f3582 --- /dev/null +++ b/theories7/Logic/RelationalChoice.v @@ -0,0 +1,17 @@ +(************************************************************************) +(* 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 1.1.2.1 2004/07/16 19:31:29 herbelin Exp $ i*) + +(* 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')))). |