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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "basic_2/rt_computation/cpms_cpms.ma".
16 include "basic_2/rt_computation/cpre.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_cpre_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, conj/
27 qed-.