Fort Space is T1

Theorem
Let $T = \struct {S, \tau_p}$ be a Fort space on an infinite set $S$.

Then $T$ is a $T_1$ (Fréchet) space.

Proof
From Fort Space is Excluded Point Space with Finite Complement Space, $T$ is an expansion of a finite complement space.

Then we have that a Finite Complement Space is $T_1$.

Then from Separation Properties Preserved by Expansion we have that as a finite complement space is a $T_1$ space, then so is $T$.