(* 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.
-#n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
+lemma lsubr_cpm_trans (h) (n) (G): lsub_trans … (λL. cpm h G L n) lsubr.
+#h #n #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.
+lemma cpm_bind_unit (h) (n) (G): ∀L,V1,V2. ❪G,L❫ ⊢ V1 ➡[h,0] V2 →
+ ∀J,T1,T2. ❪G,L.ⓤ[J]❫ ⊢ T1 ➡[h,n] T2 →
+ ∀p,I. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ➡[h,n] ⓑ[p,I]V2.T2.
/4 width=4 by lsubr_cpm_trans, cpm_bind, lsubr_unit/ qed.