
theorem
for a,b be Real st b<>0 holds
{f where f is Function of REAL,REAL :
for x be Real holds f.x= exp(-(x-a)^2/(2*b^2))}
 c= Membership_Funcs (REAL)
proof
 let a,b be Real;
 assume A0: b<>0;
 let y be object;
 assume y in {f where f is Function of REAL,REAL :
              for x be Real holds f.x= exp(-(x-a)^2/(2*b^2))}; then
 consider f be Function of REAL,REAL such that
 A1: y=f and
 A2: for x be Real holds f.x= exp(-(x-a)^2/(2*b^2));
 f is FuzzySet of REAL by A0,A2,GauF04complex;
 hence thesis by Def1,A1;
end;
