--- /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/gr_pushs.ma".
+include "ground/relocation/gr_uni.ma".
+(**) (* it should not depend on gr_isi *)
+include "ground/relocation/gr_coafter_isi.ma".
+
+(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with uniform relocations and pushs **************************************)
+
+(*** coafter_uni_sn *)
+lemma gr_coafter_uni_sn_pushs (n):
+ ∀f. 𝐮❨n❩ ~⊚ f ≘ ⫯*[n] f.
+#n @(nat_ind_succ … n) -n
+/2 width=5 by gr_coafter_isi_sn, gr_coafter_next/
+qed.