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 *)
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15 include "static_2/static/reqg_reqg.ma".
16 include "basic_2/rt_transition/rpx_fsle.ma".
18 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
20 (* Properties with generic equivalence for local environments ***************)
22 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
23 lemma cpx_reqg_conf_sn (S) (G):
24 s_r_confluent1 … (cpx G) (reqg S).
25 /3 width=6 by cpx_rex_conf_sn/ qed-.
27 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
28 lemma cpx_reqg_conf_dx (S) (G) (L2):
29 reflexive … S → symmetric … S →
30 ∀T1,T2. ❨G,L2❩ ⊢ T1 ⬈ T2 →
31 ∀L1. L1 ≛[S,T1] L2 → L1 ≛[S,T2] L2.
32 /4 width=4 by cpx_reqg_conf_sn, reqg_sym/ qed-.