--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||M|| *)
+(* ||A|| A project by Andrea Asperti *)
+(* ||T|| *)
+(* ||I|| Developers: *)
+(* ||T|| The HELM team. *)
+(* ||A|| http://helm.cs.unibo.it *)
+(* \ / *)
+(* \ / This file is distributed under the terms of the *)
+(* v GNU General Public License Version 2 *)
+(* *)
+(**************************************************************************)
+
+include "static_2/static/reqx_reqx.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
+
+(* UNBOUND 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.
+/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.
+/4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.