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:                                           *)
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  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-.