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/cnv_cpm_trans.ma".
17 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
19 (* Far properties for preservation ******************************************)
21 fact cnv_cpms_trans_lpr_far (a) (h) (o):
23 (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpms_conf_lpr a h G1 L1 T1) →
24 (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpm_trans_lpr a h G1 L1 T1) →
25 ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_cnv_cpms_trans_lpr a h G1 L1 T1.
26 #a #h #o #G0 #L0 #T0 #IH2 #IH1 #G1 #L1 #T1 #HG #HL #HT #H0 #n #T2 #H destruct
27 @(cpms_ind_dx … H) -n -T2
28 [ #L2 #HL12 @(cnv_cpm_trans_lpr_aux … IH2 IH1 … H0 … 0 T1 … HL12) -L2 -IH2 -IH1 -H0 //
29 | #n2 #n2 #T #T2 #HT1 #IH #HT2 #L2 #HL12 destruct
30 @(cnv_cpm_trans_lpr_aux … o … HT2 … HL12) [1,2,3,6,7,8,9: /2 width=2 by/ ] -n2 -L2 -T2 -IH
31 /3 width=4 by cpms_fpbg_trans/