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

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  14
  15 include "ground/arith/nat_rplus_succ.ma".
  16 include "ground/relocation/rtmap_uni.ma".
  17 include "ground/relocation/rtmap_at.ma".
  18
  19 (* RELOCATION MAP ***********************************************************)
  20
  21 (* Properties with uniform relocations **************************************)
  22
  23 lemma at_uni: ∀n,i. @❪i,𝐔❨n❩❫ ≘ i+n.
  24 #n @(nat_ind_succ … n) -n /2 width=5 by at_next/
  25 qed.
  26
  27 (* Inversion lemmas with uniform relocations ********************************)
  28
  29 lemma at_inv_uni: ∀n,i,j. @❪i,𝐔❨n❩❫ ≘ j → j = i+n.
  30 /2 width=4 by at_mono/ qed-.