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 "static_2/static/rdeq_length.ma".
16 include "basic_2/rt_transition/lpx_length.ma".
17 include "basic_2/rt_computation/rdsx.ma".
19 (* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
21 (* Advanced properties ******************************************************)
23 (* Basic_2A1: uses: lsx_sort *)
24 lemma rdsx_sort (h) (o) (G): āL,s. G ā¢ ā¬*[h, o, ās] šā¦Lā¦.
25 #h #o #G #L1 #s @rdsx_intro #L2 #H #Hs
26 elim Hs -Hs /3 width=3 by lpx_fwd_length, rdeq_sort_length/
29 (* Basic_2A1: uses: lsx_gref *)
30 lemma rdsx_gref (h) (o) (G): āL,l. G ā¢ ā¬*[h, o, Ā§l] šā¦Lā¦.
31 #h #o #G #L1 #s @rdsx_intro #L2 #H #Hs
32 elim Hs -Hs /3 width=3 by lpx_fwd_length, rdeq_gref_length/
35 lemma rdsx_unit (h) (o) (G): āI,L. G ā¢ ā¬*[h, o, #0] šā¦L.ā¤{I}ā¦.
36 #h #o #G #I #L1 @rdsx_intro
37 #Y #HY #HnY elim HnY -HnY
38 elim (lpx_inv_unit_sn ā¦ HY) -HY #L2 #HL12 #H destruct
39 /3 width=3 by lpx_fwd_length, rdeq_unit_length/