matita/matita/contribs/lambdadelta/apps_2/functional/mf_lifts.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 "apps_2/functional/mf_vpush_vlift.ma".
  16 include "apps_2/functional/mf_exteq.ma".
  17
  18 (* MULTIPLE FILLING FOR TERMS ***********************************************)
  19
  20 (* Properties with relocation ***********************************************)
  21
  22 lemma mf_lifts_basic_SO_dx (T) (j): ∀gv,lv. ↑[j,1]●[gv,lv]T = ●[⇡[j]gv,⇡[j]lv]T.
  23 #T elim T -T * //
  24 [ #p #I #V #T #IHV #IHT #j #gv #lv
  25   >mf_bind >mf_bind >flifts_basic_bind
  26   /4 width=1 by mf_comp, mf_vlift_swap, eq_f2/
  27 | #I #V #T #IHV #IHT #j #gv #lv
  28   >mf_flat >mf_flat >flifts_flat
  29   //
  30 ]
  31 qed.