Closure of Intersection may not equal Intersection of Closures/Outline

Proof
From Closure of Intersection is Subset of Intersection of Closures, it is seen that it is always the case that:
 * $\paren {H_1 \cap H_2}^- \subseteq {H_1}^- \cap {H_2}^-$

It remains to be shown that it does not always happen that:
 * $\paren {H_1 \cap H_2}^- = {H_1}^- \cap {H_2}^-$

The result is demonstrated by Proof by Counterexample.