include "Coq.ma".
-(*#**********************************************************************)
+(*#***********************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
-(* \VV/ *************************************************************)
+(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
+(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
+(* * GNU Lesser General Public License Version 2.1 *)
-(*#**********************************************************************)
+(*#***********************************************************************)
-(*i $Id: ChoiceFacts.v,v 1.7 2003/12/24 10:27:05 barras Exp $ i*)
+(*i $Id: ChoiceFacts.v,v 1.7.2.2 2004/08/01 09:29:59 herbelin Exp $ i*)
-(* We show that the functional formulation of the axiom of Choice
+(*#* We show that the functional formulation of the axiom of Choice
(usual formulation in type theory) is equivalent to its relational
formulation (only formulation of set theory) + the axiom of
(parametric) definite description (aka axiom of unique choice) *)
-(* This shows that the axiom of choice can be assumed (under its
+(*#* This shows that the axiom of choice can be assumed (under its
relational formulation) without known inconsistency with classical logic,
though definite description conflicts with classical logic *)
inline procedural "cic:/Coq/Logic/ChoiceFacts/FunChoice_Equiv_RelChoice_and_ParamDefinDescr.con" as theorem.
-(* We show that the guarded relational formulation of the axiom of Choice
+(*#* We show that the guarded relational formulation of the axiom of Choice
comes from the non guarded formulation in presence either of the
independance of premises or proof-irrelevance *)