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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
index 4abcd30de..760fc1986 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_lpxs.ma
@@ -12,17 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/rt_transition/fpbc_lpx.ma".
 include "basic_2/rt_computation/fpbs_lpxs.ma".
-include "basic_2/rt_computation/fpbg.ma".
+include "basic_2/rt_computation/fpbg_fqup.ma".
 
 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
-(* Properties with unbound rt-computation on full local environments ********)
+(* Properties with extended rt-computation on full local environments *******)
 
 (* Basic_2A1: uses: lpxs_fpbg *)
-lemma lpxs_rdneq_fpbg: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 →
-                       (L1 ≛[T] L2 → ⊥) → ⦃G, L1, T⦄ >[h] ⦃G, L2, T⦄.
-#h #G #L1 #L2 #T #H #H0
-elim (lpxs_rdneq_inv_step_sn … H … H0) -H -H0
-/4 width=7 by fpb_lpx, lpxs_fdeq_fpbs, fdeq_intro_sn, ex2_3_intro/
+lemma lpxs_rneqx_fpbg:
+      ∀G,L1,L2,T. ❨G,L1❩ ⊢ ⬈* L2 →
+      (L1 ≅[T] L2 → ⊥) → ❨G,L1,T❩ > ❨G,L2,T❩.
+#G #L1 #L2 #T #H #H0
+elim (lpxs_rneqg_inv_step_sn … H … H0) -H -H0
+/4 width=10 by fpbc_fpbs_fpbg, lpxs_feqg_fpbs, lpx_fpbc, feqg_intro_sn, sfull_dec/
 qed.