Compact Space is Weakly Sigma-Locally Compact

Theorem
Let $T = \struct {S, \tau}$ be a compact space.

Then $T$ is a weakly $\sigma$-locally compact space.

Proof
Let $T = \struct {S, \tau}$ be a compact space.

We have that:
 * Compact Space is Sigma-Compact
 * Compact Space is Weakly Locally Compact

Hence by definition $T$ is weakly $\sigma$-locally compact space.