matita/matita/contribs/lambdadelta/apps_2/functional/mf_vlift_exteq.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "ground_2/lib/functions.ma".
  16 include "ground_2/lib/exteq.ma".
  17 include "apps_2/functional/flifts_flifts_basic.ma".
  18 include "apps_2/functional/mf_vlift.ma".
  19
  20 (* MULTIPLE EVALUATION LIFT *************************************************)
  21
  22 (* Properties with extensional equivalence **********************************)
  23
  24 lemma mf_gc_id: ∀j. ⇡[j]mf_gi ≐ mf_gi.
  25 // qed.
  26
  27 lemma mf_vlift_comp (l): compatible_2 … (mf_vlift l) (exteq …) (exteq …).
  28 #l #gv1 #gv2 #Hgv #i
  29 >mf_vlift_rw >mf_vlift_rw //
  30 qed.
  31
  32 (* Main properties with extensional equivalence *****************************)
  33
  34 theorem mf_vlift_swap: ∀l1,l2. l2 ≤ l1 → ∀v. ⇡[l2]⇡[l1]v ≐ ⇡[↑l1]⇡[l2]v.
  35 /2 width=1 by flifts_basic_swap/ qed-.