reserve x for set;
reserve a, b, c for Real;
reserve m, n, m1, m2 for Nat;
reserve k, l for Integer;
reserve p, q for Rational;
reserve s1, s2 for Real_Sequence;

theorem Th34:
  a #Z 0 = 1
proof
  thus a #Z 0 = a |^ |.0.| by Def3
    .= a |^ 0 by ABSVALUE:2
    .= a GeoSeq.0 by Def1
    .= 1 by Th3;
end;
