--- /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_fcla.ma".
+
+(* FINITE COLENGTH ASSIGNMENT FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Main forward lemmas ******************************************************)
+
+(*** fcla_mono *)
+theorem gr_fcla_mono (f):
+ ân1. đâŞf⍠â n1 â ân2. đâŞf⍠â n2 â n1 = n2.
+#f #n #H elim H -f -n
+[ /2 width=3 by gr_fcla_inv_isi/
+| /3 width=3 by gr_fcla_inv_push/
+| #f #n1 #_ #IH #n2 #H elim (gr_fcla_inv_next ⌠H) -H [2,3 : // ]
+ #g #Hf #H destruct >IH //
+]
+qed-.