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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 *)
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15 include "basic_2/static/lfdeq.ma".
16 include "basic_2/rt_transition/cpx_lfxs.ma".
18 (* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *************)
20 (* Properties with degree-based equivalence for local environments **********)
22 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
23 lemma cpx_lfdeq_conf_sn: ∀h,o,G. s_r_confluent1 … (cpx h G) (lfdeq h o).
24 /3 width=6 by cpx_lfxs_conf/ qed-.
26 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
27 lemma cpx_lfdeq_conf_dx: ∀h,o,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
28 ∀L1. L1 ≛[h, o, T1] L2 → L1 ≛[h, o, T2] L2.
29 /4 width=4 by cpx_lfdeq_conf_sn, lfdeq_sym/ qed-.