matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_jsx.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/jsx_csx.ma".
  16
  17 (* COMPATIBILITY OF STRONG NORMALIZATION FOR EXTENDED RT-TRANSITION *********)
  18
  19 (* Main properties **********************************************************)
  20
  21 theorem jsx_trans (G): Transitive … (jsx G).
  22 #G #L1 #L #H elim H -L1 -L
  23 [ #L2 #H
  24   >(jsx_inv_atom_sn … H) -L2 //
  25 | #I #K1 #K #_ #IH #L2 #H
  26   elim (jsx_inv_bind_sn … H) -H *
  27   [ #K2 #HK2 #H destruct /3 width=1 by jsx_bind/
  28   | #J #K2 #V #HK2 #HV #H1 #H2 destruct /3 width=1 by jsx_pair/
  29   ]
  30 | #I #K1 #K #V #_ #HV #IH #L2 #H
  31   elim (jsx_inv_void_sn … H) -H #K2 #HK2 #H destruct
  32   /3 width=3 by rsx_jsx_trans, jsx_pair/
  33 ]
  34 qed-.