include "basic_2/rt_transition/cpx_lfxs.ma".
include "basic_2/rt_transition/cpm_cpx.ma".
+include "basic_2/rt_transition/cpr_ext.ma".
(* CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS ***************************)
+(* Properties with context-sensitive free variables *************************)
+
+lemma cpm_frees_conf: ∀n,h,G. R_frees_confluent (cpm n h G).
+/3 width=6 by cpm_fwd_cpx, cpx_frees_conf/ qed-.
+
+lemma lfpr_frees_conf: ∀h,G. lexs_frees_confluent (cpr_ext h G) cfull.
+/5 width=9 by cpm_fwd_cpx, lfpx_frees_conf, lexs_co, cext2_co/ qed-.
+
(* Properties with generic extension on referred entries ********************)
(* Basic_2A1: was just: cpr_llpx_sn_conf *)