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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
new file mode 100644
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.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 "basic_2/rt_computation/cpxs_tdeq.ma".
+include "basic_2/rt_computation/fpbs_cpxs.ma".
+include "basic_2/rt_computation/fpbg.ma".
+
+(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES **************************)
+
+(* Properties with uncounted context-sensitive parallel rt-computation ******)
+
+(* Basic_2A1: was: cpxs_fpbg *)
+lemma cpxs_tdneq_fpbg: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
+                       (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
+#h #o #G #L #T1 #T2 #H #H0
+elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
+/4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
+qed.