matita/matita/contribs/lambdadelta/apps_2/models/tm_vpush.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 "ground_2/lib/exteq.ma".
  16 include "apps_2/models/model_vpush.ma".
  17 include "apps_2/models/tm.ma".
  18
  19 (* TERM MODEL ***************************************************************)
  20
  21 (* Properties with push for model evaluation ********************************)
  22
  23 lemma tm_vpush_vlift_join_O (h) (v) (T): ⇡[0]⫯{TM h}[0←T]v ≐ ⇡[0←↑[1]T]v.
  24 #h #v #T #i
  25 elim (eq_or_gt i) #Hi destruct
  26 [ >mf_vpush_eq >mf_vlift_rw >vpush_eq //
  27 | >mf_vpush_gt // >mf_vlift_rw >vpush_gt //
  28 ]
  29 qed.