+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/cpm_cpx.ma".
-include "basic_2/rt_transition/cnr_tdeq.ma".
-include "basic_2/rt_computation/csx.ma".
-include "basic_2/rt_computation/cpre.ma".
-
-(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS **********)
-
-(* Properties with strong normalization for unbound rt-transition for terms *)
-
-(* Basic_1: was just: nf2_sn3 *)
-lemma cpre_total_csx (h) (G) (L):
- ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ∃T2. ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄.
-#h #G #L #T1 #H
-@(csx_ind … H) -T1 #T1 #_ #IHT1
-elim (cnr_dec_tdeq h G L T1) [ /3 width=3 by ex_intro, cpme_intro/ ] *
-#T0 #HT10 #HnT10
-elim (IHT1 … HnT10) -IHT1 -HnT10 [| /2 width=2 by cpm_fwd_cpx/ ]
-#T2 * /4 width=3 by cprs_step_sn, ex_intro, cpme_intro/
-qed-.