matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.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/rpx_rdeq.ma".
  16 include "basic_2/rt_transition/cnx.ma".
  17
  18 (* NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ********)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma cnx_tdeq_trans: ∀h,G,L,T1. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T1⦄ →
  23                       ∀T2. T1 ≛ T2 → ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T2⦄.
  24 #h #G #L #T1 #HT1 #T2 #HT12 #T #HT2
  25 elim (tdeq_cpx_trans … HT12 … HT2) -HT2 #T0 #HT10 #HT0
  26 lapply (HT1 … HT10) -HT1 -HT10 /2 width=5 by tdeq_repl/ (**) (* full auto fails *)
  27 qed-.