update in functional

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

diff --git a/matita/matita/contribs/lambdadelta/apps_2/functional/flifts_flifts_basic.ma b/matita/matita/contribs/lambdadelta/apps_2/functional/flifts_flifts_basic.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/flifts_flifts.ma".
+include "apps_2/functional/flifts_basic.ma".
+
+(* BASIC FUNCTIONAL RELOCATION **********************************************)
+
+(* Main properties **********************************************************)
+
+theorem flifts_basic_swap (T) (d1) (d2) (h1) (h2):
+                          d2 ≤ d1 → ↑[d2,h2]↑[d1,h1]T = ↑[h2+d1,h1]↑[d2,h2]T.
+/3 width=1 by flifts_comp, basic_swap/ qed-.
+(*
+lemma flift_join: ∀e1,e2,T. ⬆[e1, e2] ↑[0, e1] T ≡ ↑[0, e1 + e2] T.
+#e1 #e2 #T
+lapply (flift_lift T 0 (e1+e2)) #H
+elim (lift_split … H e1 e1) -H // #U #H
+>(flift_inv_lift … H) -H //
+qed.
+*)