+(**************************************************************************)
+(* ___ *)
+(* ||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_transition/fpbq.ma".
+include "basic_2/rt_computation/csx_fqus.ma".
+include "basic_2/rt_computation/csx_ffdeq.ma".
+include "basic_2/rt_computation/csx_lfpx.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+
+(* Properties with parallel rst-transition for closures *********************)
+
+(* Basic_2A1: was: csx_fpb_conf *)
+lemma csx_fpbq_conf: ∀h,o,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬈*[h, o] 𝐒⦃T1⦄ →
+ ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h, o] 𝐒⦃T2⦄.
+#h #o #G1 #L1 #T1 #HT1 #G2 #L2 #T2 *
+/2 width=6 by csx_cpx_trans, csx_fquq_conf, csx_lfpx_conf, csx_ffdeq_conf/
+qed-.