matita/matita/contribs/lambda_delta/basic_2/grammar/term_vector.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/list.ma".
  16 include "basic_2/grammar/term_simple.ma".
  17
  18 (* TERMS ********************************************************************)
  19
  20 let rec applv Vs T on Vs ≝
  21   match Vs with
  22   [ nil        ⇒ T
  23   | cons hd tl ⇒ ⓐhd. (applv tl T)
  24   ].
  25
  26 interpretation "application o vevtor (term)"
  27    'SnApplV Vs T = (applv Vs T).
  28
  29 (* properties concerning simple terms ***************************************)
  30
  31 lemma applv_simple: ∀T,Vs.  𝐒⦃T⦄ → 𝐒⦃ⒶVs.T⦄.
  32 #T * //
  33 qed.