matita/matita/contribs/lambdadelta/basic_2/relocation/fquq_fquq.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/fqu_fqu.ma".
  16 include "basic_2/relocation/fquq_alt.ma".
  17
  18 (* OPTIONAL SUPCLOSURE ******************************************************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma lleq_fquq_trans: ∀G1,G2,L2,K2,T,U. ⦃G1, L2, T⦄ ⊃⸮ ⦃G2, K2, U⦄ →
  23                        ∀L1. L1 ⋕[T] L2 →
  24                        ∃∃K1. ⦃G1, L1, T⦄ ⊃⸮ ⦃G2, K1, U⦄ & K1 ⋕[U] K2.
  25 #G1 #G2 #L2 #K2 #T #U #H #L1 #HL12 elim(fquq_inv_gen … H) -H
  26 [ #H elim (lleq_fqu_trans … H … HL12) -L2 /3 width=3 by fqu_fquq, ex2_intro/
  27 | * #HG #HL #HT destruct /2 width=3 by ex2_intro/
  28 ]
  29 qed-.