+++ /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/lsubr.ma".
-
-(* RESTRICTED REFINEMENT FOR LOCAL ENVIRONMENTS *****************************)
-
-(* Main properties **********************************************************)
-
-theorem lsubr_trans: Transitive … lsubr.
-#L1 #L #H elim H -L1 -L //
-[ #I #L1 #L #_ #IH #X #H elim (lsubr_inv_bind1 … H) -H *
- [ #L2 #HL2 #H | #L2 #V #W #HL2 #H1 #H2 | #I1 #I2 #L2 #V #Hl2 #H1 #H2 ]
- destruct /3 width=1 by lsubr_bind, lsubr_beta, lsubr_unit/
-| #L1 #L #V #W #_ #IH #X #H elim (lsubr_inv_abst1 … H) -H *
- [ #L2 #HL2 #H | #I #L2 #HL2 #H ]
- destruct /3 width=1 by lsubr_beta, lsubr_unit/
-| #I1 #I2 #L1 #L #V #_ #IH #X #H elim (lsubr_inv_unit1 … H) -H
- /4 width=1 by lsubr_unit/
-]
-qed-.