reserve a,b,c,d for Real;

theorem Th2:
  for f being Function of 2,REAL
  ex a,b being Element of REAL st f = (0,1)-->(a,b)
proof
  let f be Function of 2,REAL;
  0 in 2 & 1 in 2 by CARD_1:50,TARSKI:def 2;
  then reconsider a = f.0, b = f.1 as Element of REAL by FUNCT_2:5;
  take a,b;
  dom f = {0,1} by CARD_1:50,FUNCT_2:def 1;
  hence thesis by FUNCT_4:66;
end;
