+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-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 ******************)
-
-(* Properties concerning atomic arity assignment ****************************)
-
-(* Note: the corresponding confluence property does not hold *)
-(* Basic_1: was: csubt_ty3 *)
-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
- elim (lsubn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
- elim (lsubn_inv_pair2 … H) -H * #K1
- [ #HK12 #H destruct /3 width=6/
- | #V1 #_ #_ #_ #_ #H destruct
- ]
-| #L2 #K2 #W2 #V2 #U2 #i #HLK2 #_ #HWU2 #IHWV2 #L1 #HL12
- elim (lsubn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
- elim (lsubn_inv_pair2 … H) -H * #K1 [ | -IHWV2 ]
- [ #HK12 #H destruct /3 width=6/
- | #V1 #H1V1W2 #_ #_ #H #_ destruct /2 width=6/
- ]
-| /4 width=2/
-| /3 width=1/
-| /3 width=2/
-| /3 width=1/
-| /4 width=6/
-]
-qed.