advances on csx towards strong normalization of rt-computation ,,,

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_gcp.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_gcp.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/static/gcp.ma".
+include "basic_2/rt_transition/cnx_drops.ma".
+include "basic_2/rt_computation/csx_drops.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+
+(* Main properties **********************************************************)
+
+theorem csx_gcp: ∀h,o. gcp (cpx h) (tdeq h o) (csx h o).
+#h #o @mk_gcp
+[ normalize /3 width=13 by cnx_lifts/
+| #G #L elim (deg_total h o 0) /3 width=8 by cnx_sort_iter, ex_intro/
+| /2 width=8 by csx_lifts/
+| /2 width=3 by csx_fwd_flat_dx/
+]
+qed.