# Excluded Point Topology is T4/Proof 3

## Theorem

Let $T = \left({S, \tau_{\bar p}}\right)$ be an excluded point space.

Then $T$ is a $T_4$ space.

## Proof

We have:

Excluded Point Topology is $T_5$
$T_5$ Space is $T_4$

$\blacksquare$