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/rt_computation/cpms_lpr.ma".
16 include "basic_2/rt_computation/cprs_ctc.ma".
18 (* CONTEXT-SENSITIVE PARALLEL R-COMPUTATION FOR TERMS ***********************)
20 (* Properties concerning sn parallel reduction on local environments ********)
22 (* Basic_1: uses: pr3_pr2_pr2_t *)
23 (* Basic_1: includes: pr3_pr0_pr2_t *)
24 lemma lpr_cpr_trans (h) (G): s_r_transitive … (λL. cpm h G L 0) (λ_. lpr h G).
25 /3 width=4 by cprs_inv_CTC, lpr_cpm_trans, ltc_inv_CTC/
28 (* Basic_1: uses: pr3_pr2_pr3_t pr3_wcpr0_t *)
29 lemma lpr_cprs_trans (h) (G): s_rs_transitive … (λL. cpm h G L 0) (λ_. lpr h G).
30 #h #G @s_r_trans_CTC1 /2 width=3 by lpr_cpr_trans/ (**) (* full auto fails *)