(* Forward lemmas with free variables inclusion for restricted closures *****)
-lemma cpm_fsge_comp: ∀h,n,G. R_fsge_compatible (λL. cpm h G L n).
+lemma cpm_fsge_comp (h) (n) (G):
+ R_fsge_compatible (λL. cpm h G L n).
/3 width=6 by cpm_fwd_cpx, cpx_fsge_comp/ qed-.
-lemma rpr_fsge_comp: ∀h,G. rex_fsge_compatible (λL. cpm h G L 0).
+lemma rpr_fsge_comp (h) (G):
+ rex_fsge_compatible (λL. cpm h G L 0).
/4 width=5 by cpm_fwd_cpx, rpx_fsge_comp, rex_co/ qed-.
(* Properties with generic extension on referred entries ********************)
(* Basic_2A1: was just: cpr_llpx_sn_conf *)
-lemma cpm_rex_conf: ∀R,n,h,G. s_r_confluent1 … (λL. cpm h G L n) (rex R).
-/3 width=5 by cpm_fwd_cpx, cpx_rex_conf/ qed-.
+lemma cpm_rex_conf_sn (R) (h) (n) (G):
+ s_r_confluent1 … (λL. cpm h G L n) (rex R).
+/3 width=5 by cpm_fwd_cpx, cpx_rex_conf_sn/ qed-.