From 4e85cc6e9792da116f1b20e484b2ce629c6f6865 Mon Sep 17 00:00:00 2001
From: Hugo Herbelin
Date: Sun, 2 Oct 2016 20:27:59 +0200
Subject: Adding explicitly a file to work in the context of propositional
 extensionality.

---
 doc/stdlib/index-list.html.template |  1 +
 theories/Logic/PropExtensionality.v | 22 ++++++++++++++++++++++
 theories/Logic/vo.itarget           |  1 +
 3 files changed, 24 insertions(+)
 create mode 100644 theories/Logic/PropExtensionality.v

diff --git a/doc/stdlib/index-list.html.template b/doc/stdlib/index-list.html.template
index 4ffdbb1152..aeb0de48a3 100644
--- a/doc/stdlib/index-list.html.template
+++ b/doc/stdlib/index-list.html.template
@@ -56,6 +56,7 @@ through the <tt>Require Import</tt> command.</p>
     theories/Logic/Description.v
     theories/Logic/Epsilon.v
     theories/Logic/IndefiniteDescription.v
+    theories/Logic/PropExtensionality.v
     theories/Logic/PropExtensionalityFacts.v
     theories/Logic/FunctionalExtensionality.v
     theories/Logic/ExtensionalFunctionRepresentative.v
diff --git a/theories/Logic/PropExtensionality.v b/theories/Logic/PropExtensionality.v
new file mode 100644
index 0000000000..796c602734
--- /dev/null
+++ b/theories/Logic/PropExtensionality.v
@@ -0,0 +1,22 @@
+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016     *)
+(*   \VV/  **************************************************************)
+(*    //   *      This file is distributed under the terms of the       *)
+(*         *       GNU Lesser General Public License Version 2.1        *)
+(************************************************************************)
+
+(** This module states propositional extensionality and draws
+    consequences of it *)
+
+Axiom propositional_extensionality :
+  forall (P Q : Prop), (P <-> Q) -> P = Q.
+
+Require Import ClassicalFacts.
+
+Theorem proof_irrelevance : forall (P:Prop) (p1 p2:P), p1 = p2.
+Proof.
+  apply ext_prop_dep_proof_irrel_cic.
+  exact propositional_extensionality.
+Qed.
+
diff --git a/theories/Logic/vo.itarget b/theories/Logic/vo.itarget
index 71d01c1fb1..ef2709b472 100644
--- a/theories/Logic/vo.itarget
+++ b/theories/Logic/vo.itarget
@@ -26,6 +26,7 @@ IndefiniteDescription.vo
 JMeq.vo
 ProofIrrelevanceFacts.vo
 ProofIrrelevance.vo
+PropExtensionality.vo
 RelationalChoice.vo
 SetIsType.vo
 SetoidChoice.vo
-- 
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