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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_length.ma".
16 include "static_2/s_transition/fquq.ma".
17
18 (* OPTIONAL SUPCLOSURE ******************************************************)
19
20 (* Forward lemmas with length for local environments ************************)
21
22 lemma fquq_fwd_length_lref1: ∀b,G1,G2,L1,L2,T2,i. ❨G1,L1,#i❩ ⬂⸮[b] ❨G2,L2,T2❩ →
23                              |L2| ≤ |L1|.
24 #b #G1 #G2 #L1 #L2 #T2 #i #H elim H -H [2: * ]
25 /3 width=6 by fqu_fwd_length_lref1, nlt_des_le/
26 qed-.