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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_coafter_uni_pushs.ma
diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_uni_pushs.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_uni_pushs.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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.