
theorem
{f where f is Function of REAL,REAL, a,b is Real:
 for x be Real holds f.x= max(0,min(1, AffineMap (a,b).x))}
 c= Membership_Funcs (REAL)
 proof
  let g be object;
  assume g in {f where f is Function of REAL,REAL, a,b is Real:
  for x be Real holds f.x= max(0,min(1, AffineMap (a,b).x))};
  then
  consider f be Function of REAL,REAL, a,b be Real such that
  A1: f=g and
  A2: for x be Real holds f.x= max(0,min(1, AffineMap (a,b).x));
  g is FuzzySet of REAL by A1,A2,MM40;::MM70;
  hence thesis by Def1;
end;
