matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_cpmuwe.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_computation/cnuw_cnuw.ma".
  16 include "basic_2/rt_computation/cpmuwe.ma".
  17
  18 (* T-UNBOUND WHD EVALUATION FOR T-BOUND RT-TRANSITION ON TERMS **************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma cpmuwe_abbr_neg (h) (n) (G) (L) (T):
  23       ∀V,U. ❪G,L❫ ⊢ T ➡*[n,h] -ⓓV.U → ❪G,L❫ ⊢ T ➡*𝐍𝐖*[h,n] -ⓓV.U.
  24 /3 width=5 by cnuw_abbr_neg, cpmuwe_intro/ qed.
  25
  26 lemma cpmuwe_abst (h) (n) (p) (G) (L) (T):
  27       ∀W,U. ❪G,L❫ ⊢ T ➡*[n,h] ⓛ[p]W.U → ❪G,L❫ ⊢ T ➡*𝐍𝐖*[h,n] ⓛ[p]W.U.
  28 /3 width=5 by cnuw_abst, cpmuwe_intro/ qed.