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[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / models / tm_vpush.ma
diff --git a/matita/matita/contribs/lambdadelta/apps_2/models/tm_vpush.ma b/matita/matita/contribs/lambdadelta/apps_2/models/tm_vpush.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_2/lib/exteq.ma".
+include "apps_2/models/model_vpush.ma".
+include "apps_2/models/tm.ma".
+
+(* TERM MODEL ***************************************************************)
+
+(* Properties with push for model evaluation ********************************)
+
+lemma tm_vpush_vlift_join_O (h) (v) (T): ⇡[0]⫯{TM h}[0←T]v ≐ ⇡[0←↑[1]T]v.
+#h #v #T #i
+elim (eq_or_gt i) #Hi destruct
+[ >mf_vpush_eq >mf_vlift_rw >vpush_eq //
+| >mf_vpush_gt // >mf_vlift_rw >vpush_gt //
+]
+qed.