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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_fcla_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_fcla_eq.ma
new file mode 100644
index 000000000..59013d57a
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/gr_fcla_eq.ma
@@ -0,0 +1,34 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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-.