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diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_structure_inner.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_structure_inner.ma
new file mode 100644
index 000000000..5c0e5e6eb
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+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_structure_inner.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 "delayed_updating/syntax/path_structure.ma".
+include "delayed_updating/syntax/path_inner.ma".
+
+(* STRUCTURE FOR PATH *******************************************************)
+
+(* Constructions with pic ***************************************************)
+
+lemma structure_pic (p):
+      ⊗p ϵ 𝐈.
+#p @(list_ind_rcons … p) -p
+[ <structure_empty //
+| #p * [ #n ] #IH
+  [ <structure_d_dx //
+  | <structure_m_dx //
+  | <structure_L_dx //
+  | <structure_A_dx //
+  | <structure_S_dx //
+  ]
+]
+qed.