Countably Compact Metric Space is Compact/Proof 1

Theorem
Let $M = \left({A, d}\right)$ be a metric space.

Then $M$ is countably compact iff $M$ is compact.

Necessary Condition
This is proven in Compact Space is Countably Compact.

Sufficient Condition
This follows directly from:
 * Countably Compact Metric Space is Sequentially Compact
 * Sequentially Compact Metric Space is Compact