matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnu_cnu.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 "static_2/syntax/tueq_tueq.ma".
  16 include "basic_2/rt_transition/cpm_tueq.ma".
  17 include "basic_2/rt_transition/cnu.ma".
  18
  19 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
  20
  21 (* Advanced properties ******************************************************)
  22
  23 lemma cnu_tueq_trans (h) (G) (L):
  24       ∀T1. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → ∀T2.T1 ≅ T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T2⦄.
  25 #h #G #L #T1 #HT1 #T2 #HT12 #n #T0 #HT20
  26 @(tueq_canc_sn … HT12)
  27 elim (tueq_cpm_trans … HT12 … HT20) -T2 #T2 #HT13 #HT30
  28 /3 width=3 by tueq_trans/
  29 qed-.