matita/matita/contribs/lambdadelta/basic_2A/etc/delift/delift_delift.etc

   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_2/unfold/tpss_tpss.ma".
  16 include "basic_2/unfold/delift.ma".
  17
  18 (* INVERSE BASIC TERM RELOCATION  *******************************************)
  19
  20 (* Main properties **********************************************************)
  21
  22 theorem delift_mono: ∀L,T,T1,T2,d,e.
  23                      L ⊢ ▼*[d, e] T ≡ T1 → L ⊢ ▼*[d, e] T ≡ T2 → T1 = T2.
  24 #L #T #T1 #T2 #d #e * #U1 #H1TU1 #H2TU1 * #U2 #H1TU2 #H2TU2
  25 elim (tpss_conf_eq … H1TU1 … H1TU2) -T #U #HU1 #HU2
  26 lapply (tpss_inv_lift1_eq … HU1 … H2TU1) -HU1 #H destruct
  27 lapply (tpss_inv_lift1_eq … HU2 … H2TU2) -HU2 #H destruct
  28 lapply (lift_inj … H2TU1 … H2TU2) //
  29 qed-.