matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnu_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 "static_2/relocation/lifts_tueq.ma".
  16 include "basic_2/rt_transition/cnu.ma".
  17
  18 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
  19
  20 (* Advanced properties with uniform relocation for terms ********************)
  21
  22 lemma cnu_lref (h) (I) (G) (L):
  23       ∀i. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃#i⦄ → ⦃G,L.ⓘ{I}⦄ ⊢ ⥲[h] 𝐍⦃#↑i⦄.
  24 #h #I #G #L #i #Hi #n #X #H
  25 elim (cpm_inv_lref1 … H) -H *
  26 [ #H #_ destruct //
  27 | #J #K #V #HV #HVX #H destruct
  28   lapply (Hi … HV) -Hi -HV #HV
  29   elim (tueq_lifts_dx … HV … HVX) -V #Xi #Hi #HX
  30   lapply (lifts_inv_lref1_uni … Hi) -Hi #H destruct //
  31 ]
  32 qed.