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

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  14
  15 include "ground/arith/nat_succ.ma".
  16 include "ground/notation/functions/element_u_1.ma".
  17 include "ground/relocation/tr_id.ma".
  18
  19 (* UNIFORM ELEMENTS FOR TOTAL RELOCATION MAPS *******************************)
  20
  21 definition tr_uni (n:nat): tr_map ≝ ↑n ⨮ 𝐢.
  22
  23 interpretation
  24   "uniform elements (total relocation maps)"
  25   'ElementU n = (tr_uni n).
  26
  27 (* Basic constructions ******************************************************)
  28
  29 lemma tr_uni_unfold (n): ↑n ⨮ 𝐢 = 𝐮❨n❩.
  30 // qed.
  31
  32 lemma tr_uni_zero: 𝐢 = 𝐮❨𝟎❩.
  33 <tr_id_unfold //
  34 qed.
  35
  36 lemma tr_uni_succ (n): ↑𝐮❨n❩ = 𝐮❨↑n❩.
  37 // qed.