
theorem
  for a be positive Real holds seq_a^(a,1,0) is positive
  proof
    let a be positive Real;
    now let n be Nat;
      seq_a^(a,1,0).n = a to_power (1*n+0) by ASYMPT_1:def 1
      .= a to_power n;
      hence 0 < seq_a^(a,1,0).n by POWER:34;
    end;
    hence thesis;
  end;
