matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnh_simple.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/rt_transition/cpm_simple.ma".
  16 include "basic_2/rt_transition/cnh.ma".
  17
  18 (* NORMAL TERMS HEAD FOR T-UNUNBOUND RT-TRANSITION **************************)
  19
  20 (* Advanced properties with simple terms ************************************)
  21
  22 lemma cnh_appl_simple (h) (G) (L): ∀V,T. 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃ⓐV.T⦄.
  23 #h #G #L #V1 #T1 #HT1 #n #X #H
  24 elim (cpm_inv_appl1_simple … H HT1) -H -HT1 #V2 #T2 #_ #_ #H destruct
  25 /1 width=1 by theq_pair/
  26 qed.