matita/matita/contribs/lambdadelta/basic_2A/multiple/lifts_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/lifts_lift.ma".
  16
  17 (* GENERIC RELOCATION *******************************************************)
  18
  19 (* Main properties **********************************************************)
  20
  21 (* Basic_1: was: lift1_lift1 (left to right) *)
  22 theorem lifts_trans: ∀T1,T,cs1. ⬆*[cs1] T1 ≡ T → ∀T2:term. ∀cs2. ⬆*[cs2] T ≡ T2 →
  23                      ⬆*[cs1 @@ cs2] T1 ≡ T2.
  24 #T1 #T #cs1 #H elim H -T1 -T -cs1 /3 width=3 by lifts_cons/
  25 qed.