matita/matita/contribs/lambdadelta/ground/relocation/rtmap_nat_uni.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "ground/arith/nat_plus.ma".
  16 include "ground/relocation/rtmap_uni.ma".
  17 include "ground/relocation/rtmap_nat.ma".
  18
  19 (* NON-NEGATIVE APPLICATION FOR RELOCATION MAPS *****************************)
  20
  21 (* Properties with uniform relocations **************************************)
  22
  23 lemma rm_nat_uni (n) (l): @↑❪l,𝐔❨n❩❫ ≘ l+n.
  24 #n @(nat_ind_succ … n) -n /2 width=5 by rm_nat_next/
  25 qed.
  26
  27 (* Inversion lemmas with uniform relocations ********************************)
  28
  29 lemma rm_nat_inv_uni (n) (l) (k): @↑❪l,𝐔❨n❩❫ ≘ k → k = l+n.
  30 /2 width=4 by rm_nat_mono/ qed-.