+(**************************************************************************)
+(* ___ *)
+(* ||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_isi_eq.ma".
+include "ground/relocation/gr_fcla.ma".
+
+(* FINITE COLENGTH ASSIGNMENT FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with gr_eq *********************************************************)
+
+(*** fcla_eq_repl_back *)
+lemma gr_fcla_eq_repl_back (n):
+ gr_eq_repl_back … (λf. 𝐂❪f❫ ≘ n).
+#n #f1 #H elim H -f1 -n /3 width=3 by gr_fcla_isi, gr_isi_eq_repl_back/
+#f1 #n #_ #IH #g2 #H [ elim (gr_eq_inv_push_sn … H) | elim (gr_eq_inv_next_sn … H) ] -H
+/3 width=3 by gr_fcla_push, gr_fcla_next/
+qed-.
+
+(*** fcla_eq_repl_fwd *)
+lemma fcla_eq_repl_fwd (n):
+ gr_eq_repl_fwd … (λf. 𝐂❪f❫ ≘ n).
+#n @gr_eq_repl_sym /2 width=3 by gr_fcla_eq_repl_back/
+qed-.