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_transition/cpg_lsubr.ma".
16 include "basic_2/rt_transition/cpm.ma".
18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
20 (* Properties with restricted refinement for local environments *************)
22 (* Basic_2A1: includes: lsubr_cpr_trans *)
23 lemma lsubr_cpm_trans: ∀n,h,G. lsub_trans … (cpm n h G) lsubr.
24 #n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
27 (* Advanced properties ******************************************************)
29 (* Basic_1: was by definition: pr2_free *)
30 (* Basic_2A1: includes: tpr_cpr *)
31 lemma tpm_cpm: ∀n,h,G,T1,T2. ⦃G, ⋆⦄ ⊢ T1 ➡[n, h] T2 → ∀L. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2.
32 #n #h #G #T1 #T2 #HT12 #L lapply (lsubr_cpm_trans … HT12 L ?) //