matita/matita/contribs/lambdadelta/basic_2/static/fle_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 "basic_2/static/frees_drops.ma".
  16 include "basic_2/static/fle.ma".
  17
  18 (* FREE VARIABLES INCLUSION FOR RESTRICTED CLOSURES *************************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma fle_bind_dx: ∀T,U. ⬆*[1] T ≡ U →
  23                    ∀p,I,L,V. ⦃L, T⦄ ⊆ ⦃L, ⓑ{p,I}V.U⦄.
  24 #T #U #HTU #p #I #L #V
  25 elim (frees_total L V) #f1 #Hf1
  26 elim (frees_total L T) #f2 #Hf2
  27 elim (sor_isfin_ex f1 f2) /3 width=3 by frees_fwd_isfin, isfin_tl/ #f #Hf #_
  28 lapply (sor_inv_sle_dx … Hf) #Hf0
  29 elim (lveq_refl L) #n #HL
  30 /6 width=8 by frees_lifts_SO, frees_bind, drops_refl, drops_drop, sle_tls, ex4_4_intro/
  31 qed.