Discrete Space is Non-Meager/Proof 2

Theorem
Let $T = \left({S, \vartheta}\right)$ be a topological space where $\vartheta$ is the discrete topology on $S$.

Then $T$ is second category.

Proof
From Set in Discrete Topology is Clopen it follows that $\left\{{x}\right\}$ is open in $T$.

The result follows from Space with Open Point is Second Category.