(* Properties with restricted refinement for local environments *************)
(* Basic_2A1: includes: lsubr_cpr_trans *)
-lemma lsubr_cpm_trans: ∀n,h,G. lsub_trans … (λL. cpm h G L n) lsubr.
+lemma lsubr_cpm_trans (n) (h) (G): lsub_trans … (λL. cpm h G L n) lsubr.
#n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
qed-.
+
+lemma cpm_bind_unit (n) (h) (G): ∀L,V1,V2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 →
+ ∀J,T1,T2. ⦃G,L.ⓤ{J}⦄ ⊢ T1 ➡[n,h] T2 →
+ ∀p,I. ⦃G,L⦄ ⊢ ⓑ{p,I}V1.T1 ➡[n,h] ⓑ{p,I}V2.T2.
+/4 width=4 by lsubr_cpm_trans, cpm_bind, lsubr_unit/ qed.