matita/matita/contribs/lambdadelta/ground/relocation/gr_sor_tls.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_tls.ma".
  16 include "ground/relocation/gr_sor.ma".
  17
  18 (* RELATIONAL UNION FOR GENERIC RELOCATION MAPS *****************************)
  19
  20 (* Constructions with gr_tls ************************************************)
  21
  22 (*** sor_tls *)
  23 lemma gr_sor_tls:
  24       ∀f1,f2,f. f1 ⋓ f2 ≘ f →
  25       ∀n. ⫱*[n]f1 ⋓ ⫱*[n]f2 ≘ ⫱*[n]f.
  26 #f1 #f2 #f #Hf #n @(nat_ind_succ … n) -n
  27 /2 width=1 by gr_sor_tl/
  28 qed.