reserve p,q,x,x1,x2,y,y1,y2,z,z1,z2 for set;
reserve A,B,V,X,X1,X2,Y,Y1,Y2,Z for set;
reserve C,C1,C2,D,D1,D2 for non empty set;

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;
