update in functional

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

diff --git a/matita/matita/contribs/lambdadelta/apps_2/functional/flifts_flifts.ma b/matita/matita/contribs/lambdadelta/apps_2/functional/flifts_flifts.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 "static_2/relocation/lifts_lifts.ma".
+include "apps_2/functional/flifts.ma".
+
+(* GENERIC FUNCTIONAL RELOCATION ********************************************)
+
+(* Main derived properties **************************************************)
+
+theorem flifts_compose (f2) (f1) (T): ↑*[f2]↑*[f1]T = ↑*[f2∘f1]T.
+#f2 #f1 #T
+elim (lifts_total T f1) #U #HTU
+>(flifts_inv_lifts … HTU)
+/4 width=6 by flifts_inv_lifts, lifts_trans, sym_eq/
+qed.
+
+(* Main derived properties with uniform relocation **************************)
+
+theorem flifts_compose_uni (l2) (l1) (T): ↑[l2]↑[l1]T = ↑[l2+l1]T.
+#l2 #l1 #T >flifts_compose
+/4 width=1 by flifts_inv_lifts, lifts_uni, sym_eq/ qed.