--- /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/lib/stream_tls.ma".
+include "ground/relocation/tr_id_hdtl.ma".
+
+(* IDENTITY ELEMENT FOR TOTAL RELOCATION MAPS *******************************)
+
+(* Constructions with stream_tls ********************************************)
+
+lemma tr_tls_id (n):
+ (𝐢) = ⇂*[n]𝐢.
+#n @(nat_ind_succ … n) -n //
+#n #IH <stream_tls_swap //
+qed.