include "static_2/static/reqx_reqx.ma".
include "basic_2/rt_transition/rpx_fsle.ma".
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
(* Properties with sort-irrelevant equivalence for local environments *******)
(* Basic_2A1: was just: cpx_lleq_conf_sn *)
-lemma cpx_reqx_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) reqx.
+lemma cpx_reqx_conf_sn (G):
+ s_r_confluent1 … (cpx G) reqx.
/3 width=6 by cpx_rex_conf/ qed-.
(* Basic_2A1: was just: cpx_lleq_conf_dx *)
-lemma cpx_reqx_conf_dx: ∀h,G,L2,T1,T2. ❪G,L2❫ ⊢ T1 ⬈[h] T2 →
- ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
+lemma cpx_reqx_conf_dx (G) (L2):
+ ∀T1,T2. ❪G,L2❫ ⊢ T1 ⬈ T2 →
+ ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
/4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.