--- /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/tr_pap_pat.ma".
+include "ground/relocation/pr_pat_lt.ma".
+
+(* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
+
+(* Constructions with plt ***************************************************)
+
+lemma tr_pap_increasing (f) (p):
+ p ≤ f@⧣❨p❩.
+/2 width=2 by pr_pat_increasing/
+qed.