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

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  14
  15 include "ground/notation/functions/basic_2.ma".
  16 include "ground/relocation/rtmap_uni.ma".
  17
  18 (* RELOCATION MAP ***********************************************************)
  19
  20 definition basic: nat → nat → rtmap ≝ λm,n. ⫯*[m] 𝐔❨n❩.
  21
  22 interpretation "basic relocation (rtmap)"
  23    'Basic m n = (basic m n).
  24
  25 (* Basic properties *********************************************************)
  26
  27 lemma at_basic_succ_sn (m) (n): ⫯𝐁❨m,n❩ = 𝐁❨↑m,n❩.
  28 #m #n >pushs_S //
  29 qed.
  30
  31 lemma at_basic_zero_succ (n): ↑𝐁❨𝟎,n❩ = 𝐁❨𝟎,↑n❩.
  32 #n >nexts_S //
  33 qed.