theorem
  for f1 being Function of C,D1 for f2 being Function of C,D2 for c
  being Element of C holds <:f1,f2:>.c = [f1.c,f2.c]
proof
  let f1 be Function of C,D1;
  let f2 be Function of C,D2;
  let c be Element of C;
  dom f1 = C & dom f2 = C by FUNCT_2:def 1;
  hence thesis by Th49;
end;
