matita/matita/contribs/lambdadelta/basic_2A/static/aaa_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 "basic_2A/multiple/drops.ma".
  16 include "basic_2A/static/aaa_lift.ma".
  17
  18 (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
  19
  20 (* Properties concerning generic relocation *********************************)
  21
  22 lemma aaa_lifts: ∀G,L1,L2,T2,A,s,cs. ⬇*[s, cs] L2 ≡ L1 → ∀T1. ⬆*[cs] T1 ≡ T2 →
  23                  ⦃G, L1⦄ ⊢ T1 ⁝ A → ⦃G, L2⦄ ⊢ T2 ⁝ A.
  24 #G #L1 #L2 #T2 #A #s #cs #H elim H -L1 -L2 -cs
  25 [ #L #T1 #H #HT1
  26   <(lifts_inv_nil … H) -H //
  27 | #L1 #L #L2 #cs #l #m #_ #HL2 #IHL1 #T1 #H #HT1
  28   elim (lifts_inv_cons … H) -H /3 width=10 by aaa_lift/
  29 ]
  30 qed.