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/dynamic/lsubv_cnv.ma".
17 (* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE VALIDITY *************************)
19 (* Main properties **********************************************************)
21 (* Note: not valid in Basic_2A1 *)
22 theorem lsubv_trans (h) (a) (G): Transitive … (lsubv h a G).
23 #h #a #G #L1 #L #H elim H -L1 -L //
24 [ #I #K1 #K #HK1 #IH #Y #H
25 elim (lsubv_inv_bind_sn … H) -H *
26 [ #K2 #HK2 #H destruct /3 width=1 by lsubv_bind/
27 | #K2 #W #V #HWV #HK2 #H1 #H2 destruct /3 width=3 by lsubv_cnv_trans, lsubv_beta/
29 | #K1 #K #W #V #HWV #_ #IH #Y #H
30 elim (lsubv_inv_abst_sn … H) -H
31 #K2 #HK2 #H1 destruct /3 width=1 by lsubv_beta/