--- /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 "delayed_updating/unwind_k/unwind2_path_eq.ma".
+include "delayed_updating/unwind_k/unwind2_rmap_after.ma".
+
+(* TAILED UNWIND FOR PATH ***************************************************)
+
+(* Properties with tr_after *************************************************)
+
+lemma unwind2_path_after (g) (f) (p):
+ ▼[g]▼[f]p = ▼[g∘f]p.
+#g #f * // * [ #k ] #p //
+<unwind2_path_d_dx <unwind2_path_d_dx
+@eq_f2 // @eq_f >tr_compose_pap
+/2 width=3 by tr_pap_eq_repl/
+qed.