
theorem Max1In01:
  for a,b being Element of [.0,1.] holds
    max(1-a,b) in [.0,1.]
  proof
    let a,b be Element of [.0,1.];
    max (1-a,b) = 1 - a or max (1-a,b) = b by XXREAL_0:16;
    hence thesis by FUZNORM1:7;
  end;
