matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.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_2/relocation/lifts_vector.ma".
  16 include "basic_2/relocation/drops.ma".
  17
  18 (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************)
  19
  20 definition d_liftable1_all: relation2 lenv term → predicate bool ≝
  21                             λR,c. ∀L,K,f. ⬇*[c, f] L ≡ K →
  22                             ∀Ts,Us. ⬆*[f] Ts ≡ Us →
  23                             all … (R K) Ts → all … (R L) Us.
  24
  25 (* Properties with generic relocation for term vectors **********************)
  26
  27 (* Basic_2A1: was: d1_liftables_liftables_all *)
  28 lemma d1_liftable_liftable_all: ∀R,c. d_liftable1 R c → d_liftable1_all R c.
  29 #R #c #HR #L #K #f #HLK #Ts #Us #H elim H -Ts -Us normalize //
  30 #Ts #Us #T #U #HTU #_ #IHTUs * /3 width=7 by conj/
  31 qed.