Compact Space is Weakly Locally Compact/Proof 3

Theorem

Let $T = \left({S, \tau}\right)$ be a compact space.

Then $T$ is a weakly locally compact.

Proof

Follows directly from:

Compact Space is Weakly $\sigma$-Locally Compact

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

$\blacksquare$