
theorem
{f where f is Function of REAL,REAL, a,b,c is Real:
 b <> 0 & for x be Real holds f.x= max(0,min(1, exp_R(-(x-a)^2/(2*b^2))+c))}
 c= Membership_Funcs (REAL)
 proof
  let g be object;
  assume g in {f where f is Function of REAL,REAL, a,b,c is Real:
  b <> 0 & for x be Real holds f.x= max(0,min(1, exp_R(-(x-a)^2/(2*b^2))+c))};
  then consider f be Function of REAL,REAL, a,b,c be Real such that
  A1: f=g and
  A0: b <> 0 and
  A2: for x be Real holds f.x= max(0,min(1, exp_R(-(x-a)^2/(2*b^2))+c));
  g is FuzzySet of REAL by A0,A1,A2,GauF07;
  hence thesis by Def1;
end;
