--- /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/pr_fcla_eq.ma".
+include "ground/relocation/pr_isf.ma".
+
+(* FINITE COLENGTH CONDITION FOR PARTIAL RELOCATION MAPS ********************)
+
+(* Constructions with pr_eq *************************************************)
+
+(*** isfin_eq_repl_back *)
+lemma pr_isf_eq_repl_back:
+ pr_eq_repl_back … pr_isf.
+#f1 * /3 width=4 by pr_fcla_eq_repl_back, ex_intro/
+qed-.
+
+(*** isfin_eq_repl_fwd *)
+lemma pr_isf_eq_repl_fwd: pr_eq_repl_fwd … pr_isf.
+/3 width=3 by pr_isf_eq_repl_back, pr_eq_repl_sym/ qed-.