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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_isi_pushs.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_isi_pushs.ma
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index 000000000..10b815fe5
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+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_isi_pushs.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/pr_pushs.ma".
+include "ground/relocation/pr_isi.ma".
+
+(* IDENTITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
+
+(* Constructions with pr_pushs **********************************************)
+
+(*** isid_pushs *)
+lemma pr_isi_pushs (n) (f): 𝐈❪f❫ → 𝐈❪⫯*[n]f❫.
+#n @(nat_ind_succ … n) -n /3 width=3 by pr_isi_push/
+qed.
+
+(* Inversions with pr_pushs *************************************************)
+
+(*** isid_inv_pushs *)
+lemma pr_isi_inv_pushs (n) (g): 𝐈❪⫯*[n]g❫ → 𝐈❪g❫.
+#n @(nat_ind_succ … n) -n /3 width=3 by pr_isi_inv_push/
+qed-.