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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmre_aaa.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_computation/csx_aaa.ma".
+include "basic_2/rt_computation/cpms_aaa.ma".
+include "basic_2/rt_computation/cprre_csx.ma".
+include "basic_2/rt_computation/cprre_cpms.ma".
+
+(* EVALUATION FOR T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ON TERMS *)
+
+(* Properties with atomic atomic arity assignment on terms ******************)
+
+lemma cpmre_total_aaa (h) (n) (A) (G) (L):
+      ∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A → ∃T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄.
+#h #n #A #G #L #T1 #HT1
+elim (cpms_total_aaa h … n … HT1) #T0 #HT10
+elim (cprre_total_csx h G L T0)
+[ #T2 /3 width=4 by cpms_cprre_trans, ex_intro/
+| /4 width=4 by cpms_fwd_cpxs, aaa_csx, csx_cpxs_trans/
+]
+qed-.