Closure of Intersection may not equal Intersection of Closures

Theorem
Let $T = \struct {S, \tau}$ be a topological space.

Let $H_1$ and $H_2$ be subsets of $S$.

Let ${H_1}^-$ and ${H_2}^-$ denote the closures of $H_1$ and $H_2$ respectively.

Then it is not necessarily the case that:
 * $\paren {H_1 \cap H_2}^- = {H_1}^- \cap {H_2}^-$