matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpts_cpms.ma

   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_transition/cpt_cpm.ma".
  16 include "basic_2/rt_computation/cpms_cpms.ma".
  17 include "basic_2/rt_computation/cpts.ma".
  18
  19 (* T-BOUND CONTEXT-SENSITIVE PARALLEL T-COMPUTATION FOR TERMS ***************)
  20
  21 (* Forward lemmas with t-bound rt-computation for terms *********************)
  22
  23 lemma cpts_fwd_cpms (h) (n) (G) (L):
  24       ∀T1,T2. ❪G,L❫ ⊢ T1 ⬆*[h,n] T2 → ❪G,L❫ ⊢ T1 ➡*[n,h] T2.
  25 #h #n #G #L #T1 #T2 #H
  26 @(cpts_ind_dx … H) -n -T2 [ // ]
  27 #n1 #n2 #T #T2 #_ #IH #HT2
  28 /3 width=3 by cpms_step_dx, cpt_fwd_cpm/
  29 qed-.
  30
  31 lemma cpts_cprs_trans (h) (n) (G) (L) (T):
  32       ∀T1. ❪G,L❫ ⊢ T1 ⬆*[h,n] T →
  33       ∀T2. ❪G,L❫ ⊢ T ➡*[h] T2 → ❪G,L❫ ⊢ T1 ➡*[n,h] T2.
  34 #h #n #G #L #T #T1 #HT1 #T2 #HT2
  35 /3 width=3 by cpts_fwd_cpms, cpms_cprs_trans/ qed-.