matita/matita/contribs/lambdadelta/basic_2/computation/csn_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 "basic_2/grammar/term_vector.ma".
  16 include "basic_2/computation/csn.ma".
  17
  18 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERM VECTORS **********************)
  19
  20 definition csnv: lenv → predicate (list term) ≝
  21                  λL. all … (csn L).
  22
  23 interpretation
  24    "context-sensitive strong normalization (term vector)"
  25    'SN L Ts = (csnv L Ts).
  26
  27 (* Basic inversion lemmas ***************************************************)
  28
  29 lemma csnv_inv_cons: ∀L,T,Ts. L ⊢ ⬊* T @ Ts → L ⊢ ⬊* T ∧ L ⊢ ⬊* Ts.
  30 normalize // qed-.