matita/matita/contribs/lambdadelta/apps_2/functional/mf_vlift.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 "apps_2/notation/functional/dotteduparrow_2.ma".
  16 include "apps_2/functional/flifts_basic.ma".
  17 include "apps_2/functional/mf_v.ma".
  18
  19 (* MULTIPLE EVALUATION LIFT *************************************************)
  20
  21 definition mf_vlift (j) (gv): mf_evaluation ≝ λi. ↑[j,1](gv i).
  22
  23 interpretation "lift (multiple_filling)"
  24   'DottedUpArrow i gv = (mf_vlift i gv).
  25
  26 (* Basic properties *********************************************************)
  27
  28 lemma mf_vlift_rw (j) (gv): ∀i. (⇡[j]gv) i = ↑[j,1](gv i).
  29 // qed.