(* 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 →
- â\88\80J,T1,T2. â¦\83G,L.â\93¤{J}â¦\84 â\8a¢ T1 â\9e¡[n,h] T2 →
- â\88\80p,I. â¦\83G,Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â\9e¡[n,h] â\93\91{p,I}V2.T2.
+lemma cpm_bind_unit (h) (n) (G): ∀L,V1,V2. ❪G,L❫ ⊢ V1 ➡[h,0] V2 →
+ â\88\80J,T1,T2. â\9dªG,L.â\93¤[J]â\9d« â\8a¢ T1 â\9e¡[h,n] T2 →
+ â\88\80p,I. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â\9e¡[h,n] â\93\91[p,I]V2.T2.
/4 width=4 by lsubr_cpm_trans, cpm_bind, lsubr_unit/ qed.