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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_lpxs.ma
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_lpxs.ma
@@ -0,0 +1,28 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "basic_2/rt_computation/fpbs_lpxs.ma".
+include "basic_2/rt_computation/fpbg.ma".
+
+(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
+
+(* Properties with unbound rt-computation on full local environments ********)
+
+(* Basic_2A1: uses: lpxs_fpbg *)
+lemma lpxs_lfdneq_fpbg: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 →
+                        (L1 ≛[h, o, T] L2 → ⊥) → ⦃G, L1, T⦄ >[h, o] ⦃G, L2, T⦄.
+#h #o #G #L1 #L2 #T #H #H0
+elim (lpxs_lfdneq_inv_step_sn … H … H0) -H -H0
+/4 width=7 by fpb_lpx, lpxs_ffdeq_fpbs, ffdeq_intro_sn, ex2_3_intro/
+qed.