--- /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/relocation/pr_tl_eq.ma".
+include "ground/relocation/pr_tls.ma".
+
+(* ITERATED TAIL FOR PARTIAL RELOCATION MAPS ********************************)
+
+(* Constructions with pr_eq *************************************************)
+
+(*** tls_eq_repl *)
+lemma pr_tls_eq_repl (n):
+ pr_eq_repl (λf1,f2. ⫰*[n] f1 ≡ ⫰*[n] f2).
+#n @(nat_ind_succ … n) -n /3 width=1 by pr_tl_eq_repl/
+qed.