(* Forward lemmas with free variables inclusion for restricted closures *****)
-lemma cpm_fsge_comp: ∀n,h,G. R_fsge_compatible (cpm n h G).
+lemma cpm_fsge_comp: ∀n,h,G. R_fsge_compatible (λL. cpm h G L n).
/3 width=6 by cpm_fwd_cpx, cpx_fsge_comp/ qed-.
-lemma lfpr_fsge_comp: ∀h,G. lfxs_fsge_compatible (cpm 0 h G).
+lemma lfpr_fsge_comp: ∀h,G. lfxs_fsge_compatible (λL. cpm h G L 0).
/4 width=5 by cpm_fwd_cpx, lfpx_fsge_comp, lfxs_co/ qed-.
(* Properties with generic extension on referred entries ********************)
(* Basic_2A1: was just: cpr_llpx_sn_conf *)
-lemma cpm_lfxs_conf: ∀R,n,h,G. s_r_confluent1 … (cpm n h G) (lfxs R).
+lemma cpm_lfxs_conf: ∀R,n,h,G. s_r_confluent1 … (λL. cpm h G L n) (lfxs R).
/3 width=5 by cpm_fwd_cpx, cpx_lfxs_conf/ qed-.