
theorem Hartr 8 = <*1/8,1/56,1/168,1/280,1/280,1/168,1/56,1/8*>
  proof
    reconsider f = Hartr 8 as 8-element complex-valued FinSequence;
    reconsider g = RHartr 8 as 8-element complex-valued FinSequence;
    A1: g.1 = 8 & g.2 = 56 & g.3 = 168 & g.4 = 280 & g.5 = 280 & g.6 = 168 &
      g.7 = 56 & g.8 = 8 by RH8;
    len f = 8 & len g = 8 by CARD_1:def 7; then
    dom f = Seg 8 & dom g = Seg 8 by FINSEQ_1:def 3; then
    1 in dom f & 2 in dom f & 3 in dom f & 4 in dom f & 5 in dom f &
      6 in dom f & 7 in dom f & 8 in dom f; then
    f.1 = (g.1)" & f.2 = (g.2)" & f.3 = (g.3)" & f.4 = (g.4)" & f.5 = (g.5)" &
      f.6 = (g.6)" & f.7 = (g.7)" & f.8 = (g.8)" by VALUED_1:def 7;
    hence thesis by A1;
  end;
