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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_sle_sle.ma
diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_sle.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_sle.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_sle.ma".
+
+(* INCLUSION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Main properties **********************************************************)
+
+(*** sle_trans *)
+corec theorem gr_sle_trans:
+              Transitive … gr_sle.
+#f1 #f * -f1 -f
+#f1 #f #g1 #g #Hf #H1 #H #g2 #H0
+[ cases (gr_sle_inv_push_sn … H0 … H) *
+|*: cases (gr_sle_inv_next_sn … H0 … H)
+] -g
+/3 width=5 by gr_sle_push, gr_sle_next, gr_sle_weak/
+qed-.