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| author |  Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
| commit | 97fefe1fcca363a1317e066e7f4b99b9c1e9987b (patch) | |
| tree | 97ec6b7d831cc5fb66328b0c63a11db1cbb2f158 /theories/Logic/Diaconescu.v | |
| parent | 300293c119981054c95182a90c829058530a6b6f (diff) | |
Imported Upstream version 8.4~betaupstream/8.4_beta
Diffstat (limited to 'theories/Logic/Diaconescu.v')
| -rw-r--r-- | theories/Logic/Diaconescu.v | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/theories/Logic/Diaconescu.v b/theories/Logic/Diaconescu.v index 257245cc..8569e55e 100644 --- a/theories/Logic/Diaconescu.v +++ b/theories/Logic/Diaconescu.v @@ -1,14 +1,12 @@ (* -*- coding: utf-8 -*- *) (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Diaconescu.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (** Diaconescu showed that the Axiom of Choice entails Excluded-Middle in topoi [Diaconescu75]. Lacas and Werner adapted the proof to show that the axiom of choice in equivalence classes entails @@ -158,8 +156,8 @@ End PredExt_RelChoice_imp_EM. (**********************************************************************) (** * B. Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality *) -(** This is an adaptation of Diaconescu's paradox exploiting that - proof-irrelevance is some form of extensionality *) +(** This is an adaptation of Diaconescu's theorem, exploiting the + form of extensionality provided by proof-irrelevance *) Section ProofIrrel_RelChoice_imp_EqEM. |