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| author |  Stephane Glondu <steph@glondu.net> | 2013-05-08 18:03:54 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2013-05-08 18:03:54 +0200 |
| commit | db38bb4ad9aff74576d3b7f00028d48f0447d5bd (patch) | |
| tree | 09dafc3e5c7361d3a28e93677eadd2b7237d4f9f /theories/Logic/ClassicalDescription.v | |
| parent | 6e34b272d789455a9be589e27ad3a998cf25496b (diff) | |
| parent | 499a11a45b5711d4eaabe84a80f0ad3ae539d500 (diff) | |
Merge branch 'experimental/upstream' into upstream
Diffstat (limited to 'theories/Logic/ClassicalDescription.v')
| -rw-r--r-- | theories/Logic/ClassicalDescription.v | 12 |
1 files changed, 4 insertions, 8 deletions
diff --git a/theories/Logic/ClassicalDescription.v b/theories/Logic/ClassicalDescription.v index ad454a4d..2fd6e68e 100644 --- a/theories/Logic/ClassicalDescription.v +++ b/theories/Logic/ClassicalDescription.v @@ -1,13 +1,11 @@ (************************************************************************) (* 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 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: ClassicalDescription.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (** This file provides classical logic and definite description, which is equivalent to providing classical logic and Church's iota operator *) @@ -18,13 +16,11 @@ Set Implicit Arguments. -Require Export Classical. +Require Export Classical. (* Axiomatize classical reasoning *) +Require Export Description. (* Axiomatize constructive form of Church's iota *) Require Import ChoiceFacts. -Notation Local inhabited A := A (only parsing). - -Axiom constructive_definite_description : - forall (A : Type) (P : A->Prop), (exists! x : A, P x) -> { x : A | P x }. +Local Notation inhabited A := A (only parsing). (** The idea for the following proof comes from [ChicliPottierSimpson02] *) |