+++ /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/grammar/lcoeq.ma".
-
-(* COEQUIVALENCE FOR LOCAL ENVIRONMENTS *************************************)
-
-(* Main properties **********************************************************)
-
-theorem lcoeq_trans: ∀d,e. Transitive … (lcoeq d e).
-#d #e #L1 #L2 #H elim H -L1 -L2 -d -e //
-[ #I #L1 #L #V #HL1 #_ #X #H >(lcoeq_inv_O2 … HL1) -HL1 //
-| #I1 #I #L1 #L #V1 #V #e #_ #IHL1 #X #H elim (lcoeq_inv_pair1 … H) -H //
- #I2 #L2 #V2 #HL2 #H destruct /3 width=1 by lcoeq_pair/
-| #I #L1 #L #V #d #e #_ #IHL1 #X #H elim (lcoeq_inv_succ1 … H) -H //
- #L2 #HL2 #H destruct /3 width=1 by lcoeq_succ/
-]
-qed-.