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

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15 include "ground/notation/functions/element_u_1.ma".
  16 include "ground/relocation/gr_nexts.ma".
  17 include "ground/relocation/gr_id.ma".
  18
  19 (* UNIFORM ELEMENTS FOR GENERIC RELOCATION MAPS *****************************)
  20
  21 (*** uni *)
  22 definition gr_uni (n) ≝ ↑*[n] 𝐢.
  23
  24 interpretation
  25   "uniform elements (generic relocation maps)"
  26   'ElementU n = (gr_uni n).
  27
  28 (* Basic constructions ******************************************************)
  29
  30 (*** uni_zero *)
  31 lemma gr_uni_zero: 𝐢 = 𝐮❨𝟎❩.
  32 // qed.
  33
  34 (*** uni_succ *)
  35 lemma gr_uni_succ (n): ↑𝐮❨n❩ = 𝐮❨↑n❩.
  36 /2 width=1 by gr_nexts_succ/ qed.