Sigma-Discrete Set of Subsets is Sigma-Locally Finite

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

Let $\FF$ be a $\sigma$-discrete set of subsets of $S$.

Then $\FF$ is a $\sigma$-locally finite set of subsets of $S$.

Proof
This follows immediately from:
 * Definition:Discrete Set of Subsets
 * Definition:Locally Finite Set of Subsets
 * Discrete Set of Subsets is Locally Finite