Fortissimo Space is Completely Normal

Theorem
Let $T = \struct {S, \tau_p}$ be a Fortissimo space.

Then $T$ is a completely normal space.

Consequently, $T$ satisfies all weaker separation axioms.

Proof
We have:
 * Fortissimo Space is $T_1$
 * Fortissimo Space is $T_5$

and so by definition $T$ is completely normal.

See Sequence of Implications of Separation Axioms for confirmation of the statement about weaker separation axioms.