1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/rt_computation/csx_aaa.ma".
16 include "basic_2/rt_computation/cpms_aaa.ma".
17 include "basic_2/rt_computation/cpre_csx.ma".
18 include "basic_2/rt_computation/cpre_cpms.ma".
20 (* EVALUATION FOR T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ON TERMS *)
22 (* Properties with atomic atomic arity assignment on terms ******************)
24 lemma cpme_total_aaa (h) (n) (A) (G) (L):
25 ∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A → ∃T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄.
26 #h #n #A #G #L #T1 #HT1
27 elim (cpms_total_aaa h … n … HT1) #T0 #HT10
28 elim (cpre_total_csx h G L T0)
29 [ #T2 /3 width=4 by cpms_cpre_trans, ex_intro/
30 | /4 width=4 by cpms_fwd_cpxs, aaa_csx, csx_cpxs_trans/