matita/matita/contribs/lambdadelta/apps_2/functional/flifts_basic.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/relocation/nstream_basic.ma".
  16 include "apps_2/functional/flifts.ma".
  17 include "apps_2/notation/functional/uparrow_3.ma".
  18
  19 (* BASIC FUNCTIONAL RELOCATION **********************************************)
  20
  21 interpretation "basic functional relocation (term)"
  22    'UpArrow d h T = (flifts (basic d h) T).
  23
  24 (* Basic properties *********************************************************)
  25
  26 lemma flifts_basic_lref_ge (i) (d) (h): d ≤ i → ↑[d,h](#i) = #(h+i).
  27 #i #d #h #Hdi
  28 /4 width=1 by apply_basic_ge, (* 2x *) eq_f/
  29 qed-.
  30
  31 lemma flifts_basic_bind (p) (I) (V) (T) (d) (h): ↑[d,h](ⓑ{p,I}V.T) = ⓑ{p,I}(↑[d,h]V).(↑[↑d,h]T).
  32 // qed.