update in functional

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

diff --git a/matita/matita/contribs/lambdadelta/apps_2/functional/mf_vlift_exteq.ma b/matita/matita/contribs/lambdadelta/apps_2/functional/mf_vlift_exteq.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/functions.ma".
+include "ground_2/lib/exteq.ma".
+include "apps_2/functional/flifts_flifts_basic.ma".
+include "apps_2/functional/mf_vlift.ma".
+
+(* MULTIPLE EVALUATION LIFT *************************************************)
+
+(* Properties with extensional equivalence **********************************)
+
+lemma mf_gc_id: ∀j. ⇡[j]mf_gi ≐ mf_gi.
+// qed.
+
+lemma mf_vlift_comp (l): compatible_2 … (mf_vlift l) (exteq …) (exteq …).
+#l #gv1 #gv2 #Hgv #i
+>mf_vlift_rw >mf_vlift_rw //
+qed.
+
+(* Main properties with extensional equivalence *****************************)
+
+theorem mf_vlift_swap: ∀l1,l2. l2 ≤ l1 → ∀v. ⇡[l2]⇡[l1]v ≐ ⇡[↑l1]⇡[l2]v.
+/2 width=1 by flifts_basic_swap/ qed-.