# Modified Fort Space is not Zero Dimensional

## Theorem

Let $T = \struct {S, \tau_{a, b} }$ be a modified Fort space.

Then $T$ is not zero dimensional.

## Proof

We have Modified Fort Space is not $T_3$.

We also have Zero Dimensional Space is $T_3$.

The result follows by Modus Tollendo Tollens.

$\blacksquare$