matita/matita/contribs/lambdadelta/static_2/syntax/teqw_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 "static_2/syntax/term_simple.ma".
  16 include "static_2/syntax/teqw.ma".
  17
  18 (* SORT-IRRELEVANT WHD EQUIVALENCE ON TERMS *********************************)
  19
  20 (* Properties with simple terms *********************************************)
  21
  22 lemma teqw_simple_trans:
  23       ∀T1,T2. T1 ≃ T2 → 𝐒❨T1❩ → 𝐒❨T2❩.
  24 #T1 #T2 * -T1 -T2
  25 [4,5: #p #V1 #V2 #T1 #T2 [ #_ ] #H
  26       elim (simple_inv_bind … H)
  27 |*  : /1 width=1 by simple_atom, simple_flat/
  28 ]
  29 qed-.