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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "basic_2/rt_computation/cpms_cpms.ma".
16 include "basic_2/rt_computation/cprre.ma".
17
18 (* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS **********)
19
20 (* Properties with t-bound rt-computarion on terms **************************)
21
22 lemma cpms_cprre_trans (h) (n) (G) (L):
23       ∀T1,T0. ❪G,L❫ ⊢T1 ➡*[n,h] T0 →
24       ∀T2. ❪G,L❫ ⊢ T0 ➡*[h] 𝐍❪T2❫ → ❪G,L❫ ⊢ T1 ➡*[h,n] 𝐍❪T2❫.
25 #h #n #G #L #T1 #T0 #HT10 #T2 * #HT02 #HT2
26 /3 width=3 by cpms_cprs_trans, cpmre_intro/
27 qed-.