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update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_fpbq.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_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-.