matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_sle.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 "ground/relocation/gr_sle.ma".
  16
  17 (* INCLUSION FOR GENERIC RELOCATION MAPS ************************************)
  18
  19 (* Main constructions *******************************************************)
  20
  21 (*** sle_trans *)
  22 corec theorem gr_sle_trans:
  23               Transitive … gr_sle.
  24 #f1 #f * -f1 -f
  25 #f1 #f #g1 #g #Hf #H1 #H #g2 #H0
  26 [ cases (gr_sle_inv_push_sn … H0 … H) *
  27 |*: cases (gr_sle_inv_next_sn … H0 … H)
  28 ] -g
  29 /3 width=5 by gr_sle_push, gr_sle_next, gr_sle_weak/
  30 qed-.