ajout de theories/Wellfounded

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@900 85f007b7-540e-0410-9357-904b9bb8a0f7

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diff --git a/theories/Wellfounded/Inclusion.v b/theories/Wellfounded/Inclusion.v
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+
+(* $Id$ *)
+
+(****************************************************************************)
+(*                              Bruno Barras                                *)
+(****************************************************************************)
+
+Require Relation_Definitions.
+
+Section WfInclusion.
+  Variable A:Set.
+  Variable R1,R2:A->A->Prop.
+
+  Lemma Acc_incl: (inclusion A R1 R2)->(z:A)(Acc A R2 z)->(Acc A R1 z).
+  Proof.
+    Induction 2;Intros.
+    Apply Acc_intro;Auto with sets.
+  Save.
+
+  Hints Resolve Acc_incl.
+
+  Theorem wf_incl: 
+         (inclusion A R1 R2)->(well_founded A R2)->(well_founded A R1).
+  Proof.
+    Unfold well_founded ;Auto with sets.
+  Save.
+
+End WfInclusion.