milestone update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_fpb.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fpb.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fpb.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/fpb_lpx.ma".
+include "basic_2/rt_computation/csx_fqus.ma".
+include "basic_2/rt_computation/csx_reqg.ma".
+include "basic_2/rt_computation/csx_lpx.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
+
+(* Properties with parallel rst-transition for closures *********************)
+
+(* Basic_2A1: was: csx_fpb_conf *)
+lemma csx_fpb_conf:
+      ∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*𝐒 T1 →
+      ∀G2,L2,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H
+elim (fpb_inv_req … H) -H #L0 #L #T #H1 #HT2 #HL0 #HL02
+lapply (cpx_reqg_conf … HL0 … HT2) -HT2 // #HT2
+/5 width=8 by csx_fquq_conf, csx_cpx_trans, csx_lpx_conf, csx_reqg_conf/
+qed-.