+++ /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/static/lsubss_ssta.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR STATIC TYPE ASSIGNMENT ******************)
-
-(* Main properties **********************************************************)
-
-theorem lsubss_trans: ∀h,g,L1,L. h ⊢ L1 •⊑[g] L → ∀L2. h ⊢ L •⊑[g] L2 →
- h ⊢ L1 •⊑[g] L2.
-#h #g #L1 #L #H elim H -L1 -L
-[ #X #H >(lsubss_inv_atom1 … H) -H //
-| #I #L1 #L #W #HL1 #IHL1 #X #H
- elim (lsubss_inv_pair1 … H) -H * #L2
- [ #HL2 #H destruct /3 width=1/
- | #V #l #H1WV #H2WV #HL2 #H1 #H2 destruct /3 width=3/
- ]
-| #L1 #L #V1 #W1 #l #H1VW1 #H2VW1 #HL1 #IHL1 #X #H
- elim (lsubss_inv_pair1 … H) -H * #L2
- [ #HL2 #H destruct /3 width=5/
- | #V #l0 #_ #_ #_ #_ #H destruct
- ]
-]
-qed.