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author | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
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committer | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
commit | 6b649aba925b6f7462da07599fe67ebb12a3460e (patch) | |
tree | 43656bcaa51164548f3fa14e5b10de5ef1088574 /theories/Logic/RelationalChoice.v |
Imported Upstream version 8.0pl1upstream/8.0pl1
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')). |