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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/csx_lpx.ma".
16 include "basic_2/rt_computation/lpxs_lpx.ma".
17
18 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
19
20 (* Properties with unbound parallel rt-computation on all entries ***********)
21
22 lemma csx_lpxs_conf: ∀h,G,L1,L2,T. ❪G,L1❫ ⊢ ⬈*[h] L2 →
23                      ❪G,L1❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L2❫ ⊢ ⬈*[h] 𝐒❪T❫.
24 #h #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
25 /3 by lpxs_step_dx, csx_lpx_conf/
26 qed-.