Existence of Topological Space which satisfies no Separation Axioms but T0 and T1

Theorem
There exists at least one example of a topological space for which none of the Tychonoff separation axioms are satisfied except for the $T_0$ (Kolmogorov) axiom and $T_1$ (Fréchet) axiom.

Proof
Proof by Counterexample:

Let $T$ be the finite complement topology on a countable space.