Show that for every real number $y>0$, $$\bigcap_{n=1}^{\infty} (0, y/n] = \emptyset$$
So this would mean that $0< x \leq y/n$ for every positive integer $n$ which contradicts the Archimdean property?
Show that for every real number $y>0$, $$\bigcap_{n=1}^{\infty} (0, y/n] = \emptyset$$
So this would mean that $0< x \leq y/n$ for every positive integer $n$ which contradicts the Archimdean property?