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

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   3 (*      ||M||                                                             *)
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  14
  15 include "ground/notation/functions/element_b_2.ma".
  16 include "ground/relocation/gr_pushs.ma".
  17 include "ground/relocation/gr_uni.ma".
  18
  19 (* BASIC ELEMENTS FOR GENERIC RELOCATION MAPS *******************************)
  20
  21 definition basic (d) (h): gr_map ≝ ⫯*[d] 𝐮❨h❩.
  22
  23 interpretation
  24   "basic elements (generic relocation maps)"
  25   'ElementB d h = (basic d h).
  26
  27 (* Basic constructions ******************************************************)
  28
  29 (*** at_basic_succ_sn *)
  30 lemma gr_basic_succ_sn (d) (h): ⫯𝐛❨d,h❩ = 𝐛❨↑d,h❩.
  31 #d #h >gr_pushs_succ //
  32 qed.
  33
  34 (*** at_basic_zero_succ *)
  35 lemma gr_basic_zero_succ (h): ↑𝐛❨𝟎,h❩ = 𝐛❨𝟎,↑h❩.
  36 #h >gr_nexts_succ //
  37 qed.