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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_coafter_isu.ma
diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_coafter_isu.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_coafter_isu.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/pr_isi_pushs.ma".
+include "ground/relocation/pr_isu_uni.ma".
+include "ground/relocation/pr_coafter_uni_pushs.ma".
+
+(* RELATIONAL CO-COMPOSITION FOR PARTIAL RELOCATION MAPS ********************)
+
+(* Constructions with pr_isu and pr_isi *************************************)
+
+(*** coafter_isuni_isid *)
+lemma pr_coafter_isu_isi:
+      ∀f2. 𝐈❪f2❫ → ∀f1. 𝐔❪f1❫ → f1 ~⊚ f2 ≘ f2.
+#f #Hf #g #H
+elim (pr_isu_inv_uni … H) -H #n #H
+/5 width=4 by pr_isi_pushs, pr_isi_inv_eq_repl, pr_coafter_eq_repl_back, pr_coafter_eq_repl_back_sn/
+qed.