+++ /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/lsuba_aaa.ma".
-
-(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
-
-(* Main properties **********************************************************)
-
-theorem lsuba_trans: ∀G. Transitive … (lsuba G).
-#G #L1 #L #H elim H -L1 -L
-[ #X #H >(lsuba_inv_atom1 … H) -H //
-| #I #L1 #L #HL1 #IHL1 #Y #H
- elim (lsuba_inv_bind1 … H) -H * #L2
- [ #HL2 #H destruct /3 width=1 by lsuba_bind/
- | #W #V #A #HV #HW #HL2 #H1 #H2 destruct
- /3 width=3 by lsuba_beta, lsuba_aaa_trans/
- ]
-| #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #Y #H
- elim (lsuba_inv_bind1 … H) -H * #L2
- [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
- | #W0 #V0 #A0 #_ #_ #_ #H destruct
- ]
-]
-qed-.