
theorem Th8:
  for n being Element of NAT holds 1_F_Complex = (power F_Complex)
  .(1_F_Complex,n)
proof
  let n be Element of NAT;
  1_F_Complex = [** 1, 0 **] by COMPLFLD:8;
  then (power F_Complex).(1_F_Complex,n) = [** 1 to_power n,0 **] by
HAHNBAN1:29
    .= 1_F_Complex by COMPLFLD:8;
  hence thesis;
end;
