matita/matita/contribs/lambdadelta/ground/relocation/pr_coafter_uni_pushs.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/pr_pushs.ma".
  16 include "ground/relocation/pr_uni.ma".
  17 (* * it should not depend on pr_isi *)
  18 include "ground/relocation/pr_coafter_isi.ma".
  19
  20 (* RELATIONAL CO-COMPOSITION FOR PARTIAL RELOCATION MAPS ********************)
  21
  22 (* Constructions with pr_uni and pr_pushs ***********************************)
  23
  24 (*** coafter_uni_sn *)
  25 lemma pr_coafter_uni_sn_pushs (n):
  26       ∀f. 𝐮❨n❩ ~⊚ f ≘ ⫯*[n] f.
  27 #n @(nat_ind_succ … n) -n
  28 /2 width=5 by pr_coafter_isi_sn, pr_coafter_next/
  29 qed.