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 Th75:
  for f1 being Function of C1,D1 for f2 being Function of C2,D2 for c1
being Element of C1 for c2 being Element of C2 holds [:f1,f2:].(c1,c2) = [f1.c1
  ,f2.c2]
proof
  let f1 be Function of C1,D1;
  let f2 be Function of C2,D2;
  let c1 be Element of C1;
  let c2 be Element of C2;
  dom f1 = C1 & dom f2 = C2 by FUNCT_2:def 1;
  hence thesis by Def8;
end;
