reserve X, Y for non empty set;

theorem
  for f,g being Membership_Func of X holds f c= max(f,g)
proof
  let f,g be Membership_Func of X;
  let x be Element of X;
  max(f,g).x = max(f.x,g.x) by FUZZY_1:def 4;
  hence thesis by XXREAL_0:25;
end;
