matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_cpm.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/cpm.ma".
  16 include "basic_2/rt_transition/cpt_fqu.ma".
  17
  18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL T-TRANSITION FOR TERMS ****************)
  19
  20 (* Forward lemmas with t-bound rt-transition for terms **********************)
  21
  22 lemma cpt_fwd_cpm (h) (n) (G) (L):
  23       ∀T1,T2. ❪G,L❫ ⊢ T1 ⬆[h,n] T2 → ❪G,L❫ ⊢ T1 ➡[n,h] T2.
  24 #h #n #G #L #T1 #T2 #H
  25 @(cpt_ind … H) -n -G -L -T1 -T2
  26 /3 width=3 by cpm_ee, cpm_cast, cpm_appl, cpm_bind, cpm_lref, cpm_ell, cpm_delta/
  27 qed-.