Partition Topology is T3

Corollary to Partition Topology is T3 1/2
Let $S$ be a set and let $\mathcal P$ be a partition on $S$.

Let $T = \left({S, \vartheta}\right)$ be the partition space whose basis is $\mathcal P$.

Then:
 * $T$ is a $T_3$ space.

Proof
We have that the Partition Topology is $T_{3 \frac 1 2}$.

We also have that a $T_{3 \frac 1 2}$ Space is $T_3$ Space.

The result follows.