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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_uni.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_uni.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_uni.ma".
+include "ground/relocation/gr_isi_id.ma".
+
+(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with test for identity ****************************************)
+
+(*** uni_inv_isid uni_isi *)
+lemma gr_uni_isi (f): 𝐮❨𝟎❩ ≡ f → 𝐈❪f❫.
+/2 width=1 by gr_eq_id_isi/ qed.
+
+(* Inversion lemmas with test for identity **********************************)
+
+(*** uni_isid isi_inv_uni *)
+lemma gr_isi_inv_uni (f): 𝐈❪f❫ → 𝐮❨𝟎❩ ≡ f.
+/2 width=1 by gr_isi_inv_eq_id/ qed-.