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/reqx_reqx.ma".
16 include "basic_2/rt_transition/rpx_fsle.ma".
18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
20 (* Properties with sort-irrelevant equivalence for local environments *******)
22 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
23 lemma cpx_reqx_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) reqx.
24 /3 width=6 by cpx_rex_conf/ qed-.
26 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
27 lemma cpx_reqx_conf_dx: ∀h,G,L2,T1,T2. ❪G,L2❫ ⊢ T1 ⬈[h] T2 →
28 ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
29 /4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.