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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_isf_eq.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_fcla_eq.ma".
+include "ground/relocation/gr_isf.ma".
+
+(* FINITE COLENGTH CONDITION FOR GENERIC RELOCATION MAPS *)
+
+(* Properties with gr_eq *)
+
+(*** isfin_eq_repl_back *)
+lemma gr_isf_eq_repl_back:
+      gr_eq_repl_back … gr_isf.
+#f1 * /3 width=4 by gr_fcla_eq_repl_back, ex_intro/
+qed-.
+
+(*** isfin_eq_repl_fwd *)
+lemma gr_isf_eq_repl_fwd: gr_eq_repl_fwd … gr_isf.
+/3 width=3 by gr_isf_eq_repl_back, gr_eq_repl_sym/ qed-.