+(**************************************************************************)
+(* ___ *)
+(* ||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/tr_pushs.ma".
+include "ground/relocation/tr_pn_hdtl.ma".
+include "ground/lib/stream_tls.ma".
+
+(* ITERATED PUSH FOR TOTAL RELOCATION MAPS **********************************)
+
+(* Constructions with stream_tls ********************************************)
+
+lemma tr_tls_pushs (f) (n):
+ f = ⇂*[n]⫯*[n]f.
+#f #n @(nat_ind_succ … n) -n //
+#n #IH
+<stream_tls_swap <tr_pushs_succ <tr_tl_push //
+qed.