
theorem Th10:
  for x1,x2,x3,x4,x5,y1,y2,y3,y4,y5 being object st
  [x1,x2,x3,x4,x5] = [y1,y2,y3,y4,y5] holds x1 = y1 & x2 = y2 &
  x3 = y3 & x4 = y4 & x5 = y5
  proof
    let x1,x2,x3,x4,x5,y1,y2,y3,y4,y5 be object;
    assume [x1,x2,x3,x4,x5] = [y1,y2,y3,y4,y5];
    then [x1,x2,x3,x4] = [y1,y2,y3,y4]& x5 = y5 by XTUPLE_0:1;
    hence thesis by XTUPLE_0:5;
  end;
