
theorem Th64:
  for A being Cantor-normal-form Ordinal-Sequence, a being object st a in dom A
  holds A.a = (omega -leading_coeff(A.a)) *^ exp(omega, omega -exponent(A.a))
proof
  let A be Cantor-normal-form Ordinal-Sequence, a be object;
  assume a in dom A;
  then A.a is Cantor-component by ORDINAL5:def 11;
  hence thesis by Th59;
end;
