
theorem Th14:
  for n being Nat holds for x1,x2 being Element of dyadic(n) st
  x1 < x2 holds axis(x1) < axis(x2)
proof
  let n be Nat;
  let x1,x2 be Element of dyadic(n);
  x1 = axis(x1)/(2|^n) & x2 = axis(x2)/(2|^n) by Th10;
  hence thesis by XREAL_1:72;
end;
