update for the article

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqx_req.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqx_req.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqx_req.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "static_2/static/reqx_req.ma".
+include "static_2/static/feqx.ma".
+
+(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
+
+(* Properties with syntactic equivalence on referred entries ****************)
+
+lemma req_reqx_trans: ∀L1,L,T1. L1 ≡[T1] L →
+                      ∀G1,G2,L2,T2. ⦃G1,L,T1⦄ ≛ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄.
+#L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
+elim (feqx_inv_gen_sn … H) -H #H #HL2 #T12 destruct
+/3 width=3 by feqx_intro_sn, req_reqx_trans/
+qed-.