From a3ebf0bc16223643a7cdf5da69b4c6a319bad73c Mon Sep 17 00:00:00 2001
From: sacerdot
Date: Wed, 29 Sep 2004 13:06:57 +0000
Subject: impl is a reflexive relation (it used to be areflexive).

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@6154 85f007b7-540e-0410-9357-904b9bb8a0f7
---
 tactics/setoid_replace.ml | 2 +-
 theories/Setoids/Setoid.v | 6 +++++-
 2 files changed, 6 insertions(+), 2 deletions(-)

diff --git a/tactics/setoid_replace.ml b/tactics/setoid_replace.ml
index 14a81311b9..77a5f21162 100644
--- a/tactics/setoid_replace.ml
+++ b/tactics/setoid_replace.ml
@@ -194,7 +194,7 @@ let coq_prop_relation2 =
   Relation {
      rel_a = mkProp ;
      rel_aeq = Lazy.force coq_impl ;
-     rel_refl = None;
+     rel_refl = Some (constant ["Setoid"] "impl_refl") ;
      rel_sym = None
    })
 
diff --git a/theories/Setoids/Setoid.v b/theories/Setoids/Setoid.v
index 7d8196a728..1bf7290550 100644
--- a/theories/Setoids/Setoid.v
+++ b/theories/Setoids/Setoid.v
@@ -608,9 +608,13 @@ Add Morphism not : Not_Morphism.
  tauto.
 Qed.
 
+Theorem impl_refl: reflexive _ impl.
+ hnf; unfold impl; tauto.
+Qed.
+
 (* THE ASYMMETRIC AREFLEXIVE RELATION impl WITH A FEW MORPHISMS *)
 
-Add Relation Prop impl.
+Add Relation Prop impl reflexivity proved by impl_refl.
 
 Add Morphism impl with signature impl --> impl ++> impl as Impl_Morphism2.
  unfold impl; tauto.
-- 
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