milestone update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_coafter_isu.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_coafter_isu.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_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/gr_isi_pushs.ma".
+include "ground/relocation/gr_isu_uni.ma".
+include "ground/relocation/gr_coafter_uni_pushs.ma".
+
+(* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with test for uniform relocations and isi *****************************)
+
+(*** coafter_isuni_isid *)
+lemma gr_coafter_isu_isi:
+      ∀f2. 𝐈❪f2❫ → ∀f1. 𝐔❪f1❫ → f1 ~⊚ f2 ≘ f2.
+#f #Hf #g #H
+elim (gr_isu_inv_uni … H) -H #n #H
+/5 width=4 by gr_isi_pushs, gr_isi_inv_eq_repl, gr_coafter_eq_repl_back, gr_coafter_eq_repl_back_sn/
+qed.