
theorem
  for a,b be positive Real, n be heavy positive Real holds
  (2*a+b) to_power n + b to_power n < (2*(a+b)) to_power n
  proof
    let a,b be positive Real, n be heavy positive Real;
    (2*a+b) to_power n + (b) to_power n < ((2*a+b) + b) to_power n by APB;
    hence thesis;
  end;
