Compact Complement Topology is Sequentially Compact

Theorem
Let $T = \left({\R, \tau}\right)$ be the compact complement topology on $\R$.

Then $T$ is a sequentially compact space.

Proof

 * Compact Complement Topology is Compact
 * Compact Space is Countably Compact
 * Compact Complement Topology is First-Countable
 * First-Countable Space: Sequential Compactness Equivalent to Countable Compactness