Ajout de la tactique Setoid_replace.

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1782 85f007b7-540e-0410-9357-904b9bb8a0f7

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diff --git a/contrib/setoid/Setoid_replace.v b/contrib/setoid/Setoid_replace.v
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+(***********************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
+(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
+(*   \VV/  *************************************************************)
+(*    //   *      This file is distributed under the terms of the      *)
+(*         *       GNU Lesser General Public License Version 2.1       *)
+(***********************************************************************)
+
+(* $Id$: *)
+
+Declare ML Module "setoid_replace".
+
+Grammar tactic simple_tactic : ast :=
+  setoid_replace [ "Setoid_replace" constrarg($c1) "with" constrarg($c2) ] -> [(Setoid_replace $c1 $c2)]
+.
+
+Syntax tactic level 0 :
+  setoid_replace [<<(Setoid_replace  $c1 $c2)>>] -> [[<hov 0>"Setoid_replace " $c1 [1 1] "with " $c2]]
+.
+
+Grammar vernac vernac : ast :=
+  add_setoid [ "Add" "Setoid" constrarg($a) constrarg($aeq) constrarg($t) "." ] 
+    -> [(AddSetoid $a $aeq $t)]
+| new_morphism [ "New" "Morphism" identarg($s) constrarg($m) "." ] -> [(NamedNewMorphism $s $m)]
+| new_morphism [ "New" "Morphism" identarg($m) "." ] -> [(NewMorphism $m)]
+.
+
+Section Setoid.
+
+Variable A : Type.
+Variable Aeq : A -> A -> Prop.
+
+Record Setoid_Theory : Prop :=
+{ Seq_refl : (x:A) (Aeq x x);
+  Seq_sym : (x,y:A) (Aeq x y) -> (Aeq y x);
+  Seq_trans : (x,y,z:A) (Aeq x y) -> (Aeq y z) -> (Aeq x z)
+}.
+
+End Setoid.
+
+Definition Prop_S : (Setoid_Theory Prop ([x,y:Prop] x<->y)).
+Split; Tauto.
+Save.
+
+Add Setoid Prop iff Prop_S.
+
+Hint prop_set : setoid := Resolve (Seq_refl Prop iff Prop_S).
+Hint prop_set : setoid := Resolve (Seq_sym Prop iff Prop_S).
+Hint prop_set : setoid := Resolve (Seq_trans Prop iff Prop_S).
+
+New Morphism or.
+Tauto.
+Save.
+
+New Morphism and.
+Tauto.
+Save.
+
+New Morphism not.
+Tauto.
+Save.
+
+Lemma fleche_ext : (a,b,c,d : Prop) (a<->c) -> (b <-> d) -> (a -> b) -> (c -> d).
+Tauto.
+Save.