matita/matita/contribs/lambdadelta/static_2/s_transition/fquq_weight.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_transition/fqu_weight.ma".
  16 include "static_2/s_transition/fquq.ma".
  17
  18 (* OPTIONAL SUPCLOSURE ******************************************************)
  19
  20 (* Forward lemmas with weight for closures **********************************)
  21
  22 lemma fquq_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄ →
  23                    ♯{G2, L2, T2} ≤ ♯{G1, L1, T1}.
  24 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H [2: * ]
  25 /3 width=2 by fqu_fwd_fw, lt_to_le/
  26 qed-.