--- /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 "ground/relocation/gr_sle.ma".
+
+(* INCLUSION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Main properties **********************************************************)
+
+(*** sle_trans *)
+corec theorem gr_sle_trans:
+ Transitive … gr_sle.
+#f1 #f * -f1 -f
+#f1 #f #g1 #g #Hf #H1 #H #g2 #H0
+[ cases (gr_sle_inv_push_sn … H0 … H) *
+|*: cases (gr_sle_inv_next_sn … H0 … H)
+] -g
+/3 width=5 by gr_sle_push, gr_sle_next, gr_sle_weak/
+qed-.