update in functional

[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / functional / mf_lifts.ma

diff --git a/matita/matita/contribs/lambdadelta/apps_2/functional/mf_lifts.ma b/matita/matita/contribs/lambdadelta/apps_2/functional/mf_lifts.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 "apps_2/functional/mf_vpush_vlift.ma".
+include "apps_2/functional/mf_exteq.ma".
+
+(* MULTIPLE FILLING FOR TERMS ***********************************************)
+
+(* Properties with relocation ***********************************************)
+
+lemma mf_lifts_basic_SO_dx (T) (j): ∀gv,lv. ↑[j,1]●[gv,lv]T = ●[⇡[j]gv,⇡[j]lv]T.
+#T elim T -T * //
+[ #p #I #V #T #IHV #IHT #j #gv #lv
+  >mf_bind >mf_bind >flifts_basic_bind
+  /4 width=1 by mf_comp, mf_vlift_swap, eq_f2/
+| #I #V #T #IHV #IHT #j #gv #lv
+  >mf_flat >mf_flat >flifts_flat
+  //
+]
+qed.