
theorem :: COROLLARY 4.8.b)
  for L be algebraic distributive lower-bounded LATTICE st for p being
  Element of L st p is pseudoprime holds p is prime holds L is arithmetic
proof
  let L be algebraic distributive lower-bounded LATTICE;
  assume for p be Element of L st p is pseudoprime holds p is prime;
  then L-waybelow is multiplicative by WAYBEL_7:46;
  hence thesis by Th20;
end;
