matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnu_cnr_simple.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "basic_2/rt_transition/cpm_simple.ma".
  16 include "basic_2/rt_transition/cnr.ma".
  17 include "basic_2/rt_transition/cnu.ma".
  18
  19 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
  20
  21 (* Advanced properties with simple terms and normal terms for r-transition **)
  22
  23 lemma cnu_appl_simple (h) (G) (L):
  24       ∀V,T. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T⦄ → 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃ⓐV.T⦄.
  25 #h #G #L #V1 #T1 #HV1 #HT1 #HS #n #X #H
  26 elim (cpm_inv_appl1_simple … H HS) -H -HS #V2 #T2 #HV12 #HT12 #H destruct
  27 lapply (HV1 … HV12) -HV1 -HV12 #H destruct
  28 /3 width=2 by tueq_appl/
  29 qed.