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| -rw-r--r-- | theories/Logic/RelationalChoice.v | 17 |
1 files changed, 17 insertions, 0 deletions
diff --git a/theories/Logic/RelationalChoice.v b/theories/Logic/RelationalChoice.v new file mode 100644 index 0000000000..5addb4d244 --- /dev/null +++ b/theories/Logic/RelationalChoice.v @@ -0,0 +1,17 @@ +(***********************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *) +(* \VV/ *************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(***********************************************************************) + +(*i $Id$ 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')))). |