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Diffstat (limited to 'theories7/Logic/ClassicalChoice.v')
| -rw-r--r-- | theories7/Logic/ClassicalChoice.v | 31 |
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diff --git a/theories7/Logic/ClassicalChoice.v b/theories7/Logic/ClassicalChoice.v deleted file mode 100644 index 5419e958..00000000 --- a/theories7/Logic/ClassicalChoice.v +++ /dev/null @@ -1,31 +0,0 @@ -(************************************************************************) -(* 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: ClassicalChoice.v,v 1.1.2.1 2004/07/16 19:31:29 herbelin Exp $ i*) - -(** This file provides classical logic and functional choice *) - -(** This file extends ClassicalDescription.v with the axiom of choice. - As ClassicalDescription.v, it implies the double-negation of - excluded-middle in Set and implies a strongly classical - world. Especially it conflicts with impredicativity of Set, knowing - that true<>false in Set. -*) - -Require Export ClassicalDescription. -Require Export RelationalChoice. -Require ChoiceFacts. - -Theorem choice : - (A:Type;B:Type;R: A->B->Prop) - ((x:A)(EX y:B|(R x y))) -> (EX f:A->B | (x:A)(R x (f x))). -Proof. -Apply description_rel_choice_imp_funct_choice. -Exact description. -Exact relational_choice. -Qed. |