matita/matita/contribs/lambdadelta/static_2/s_computation/fqus_drops.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/s_computation/fqup_drops.ma".
  16 include "static_2/s_computation/fqus_fqup.ma".
  17
  18 (* STAR-ITERATED SUPCLOSURE *************************************************)
  19
  20 (* Properties with generic slicing for local environments *******************)
  21
  22 lemma fqus_drops: ∀b,G,L,K,T,U,i. ⬇*[i] L ≘ K → ⬆*[i] T ≘ U →
  23                   ⦃G, L, U⦄ ⊐*[b] ⦃G, K, T⦄.
  24 #b #G #L #K #T #U * /3 width=3 by fqup_drops_succ, fqup_fqus/
  25 #HLK #HTU <(lifts_fwd_isid … HTU) -U // <(drops_fwd_isid … HLK) -K //
  26 qed.