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/relocation/lifts_tdeq.ma".
16 include "basic_2/rt_transition/cpx_drops.ma".
17 include "basic_2/rt_computation/csx.ma".
19 (* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
21 (* Properties with generic relocation ***************************************)
23 (* Basic_1: was just: sn3_lift *)
24 (* Basic_2A1: was just: csx_lift *)
25 lemma csx_lifts: ∀h,o,G. d_liftable1 … (csx h o G).
26 #h #o #G #K #T #H @(csx_ind … H) -T
27 #T1 #_ #IH #b #f #L #HLK #U1 #HTU1
28 @csx_intro #U2 #HU12 #HnU12
29 elim (cpx_inv_lifts_sn … HU12 … HLK … HTU1) -HU12
30 /4 width=7 by tdeq_lifts_bi/
33 (* Inversion lemmas with generic slicing ************************************)
35 (* Basic_1: was just: sn3_gen_lift *)
36 (* Basic_2A1: was just: csx_inv_lift *)
37 lemma csx_inv_lifts: ∀h,o,G. d_deliftable1 … (csx h o G).
38 #h #o #G #L #U #H @(csx_ind … H) -U
39 #U1 #_ #IH #b #f #K #HLK #T1 #HTU1
40 @csx_intro #T2 #HT12 #HnT12
41 elim (cpx_lifts_sn … HT12 … HLK … HTU1) -HT12
42 /4 width=7 by tdeq_inv_lifts_bi/