1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_2/static/frees_frees.ma".
16 include "basic_2/static/fle.ma".
17 include "basic_2/static/lfxs_lfxs.ma".
19 (* GENERIC EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ****)
21 (* Properties with free variables inclusion for restricted closures *********)
23 lemma fle_lfxs_trans: ∀R,L1,T1,T2. ⦃L1, T1⦄ ⊆ ⦃L1, T2⦄ →
24 ∀L2. L1 ⪤*[R, T2] L2 → L1 ⪤*[R, T1] L2.
25 #R #L1 #T1 #T2 * #f1 #f2 #Hf1 #Hf2 #Hf12 #L2 #HL12
26 /4 width=5 by lfxs_inv_frees, sle_lexs_trans, ex2_intro/