matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_sstas.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/unfold/sstas_lift.ma".
  16 include "basic_2/dynamic/snv.ma".
  17
  18 (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
  19
  20 (* Forward_lemmas on iterated stratified static type assignment for terms ***)
  21
  22 lemma snv_sstas_fwd_correct: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ¡[h, g] → ⦃G, L⦄ ⊢ T1 •* [h, g] T2 →
  23                              ∃∃U2,l. ⦃G, L⦄ ⊢ T2 •[h, g] ⦃l, U2⦄.
  24 #h #g #G #L #T1 #T2 #HT1 #HT12
  25 elim (snv_fwd_ssta … HT1) -HT1 /2 width=5 by sstas_fwd_correct/
  26 qed-.