--- /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_nexts.ma".
+include "ground/relocation/pr_isd.ma".
+
+(* DIVERGENCE CONDITION FOR PARTIAL RELOCATION MAPS *************************)
+
+(* Constructions with pr_nexts **********************************************)
+
+(*** isdiv_nexts *)
+lemma pr_isd_nexts (n) (f): šāŖfā« ā šāŖā*[n]fā«.
+#n @(nat_ind_succ ā¦ n) -n /3 width=3 by pr_isd_next/
+qed.
+
+(* Inversions with pr_nexts *************************************************)
+
+(*** isdiv_inv_nexts *)
+lemma pr_isd_inv_nexts (n) (g): šāŖā*[n]gā« ā šāŖgā«.
+#n @(nat_ind_succ ā¦ n) -n /3 width=3 by pr_isd_inv_next/
+qed-.