include "basic_2/dynamic/nta_nta.ma".
include "basic_2/dynamic/lsubn_ldrop.ma".
+include "basic_2/dynamic/lsubn_cpcs.ma".
(* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE TYPE ASSIGNMENT ******************)
(* Note: the corresponding confluence property does not hold *)
(* Basic_1: was: csubt_ty3 *)
-axiom lsubn_nta_trans: ∀h,L2,T,U. ⦃h, L2⦄ ⊢ T : U → ∀L1. h ⊢ L1 :⊑ L2 →
+lemma lsubn_nta_trans: ∀h,L2,T,U. ⦃h, L2⦄ ⊢ T : U → ∀L1. h ⊢ L1 :⊑ L2 →
⦃h, L1⦄ ⊢ T : U.
-(*
#h #L2 #T #U #H elim H -L2 -T -U
[ //
| #L2 #K2 #V2 #W2 #U2 #i #HLK2 #_ #WU2 #IHVW2 #L1 #HL12
| /3 width=1/
| /3 width=2/
| /3 width=1/
+| /4 width=6/
]
qed.
-*)