
theorem LM14:
  for f be object holds
  f in R_Algebra_of_Big_Oh_poly
  iff f is polynomially-abs-bounded Function of NAT,REAL
  proof
    let f be object;
    the carrier of R_Algebra_of_Big_Oh_poly = Big_Oh_poly by defAlgebra;
    hence f in R_Algebra_of_Big_Oh_poly
    iff f is polynomially-abs-bounded Function of NAT,REAL by DefX1;
  end;
