Locally Path-Connected Space is Locally Connected

Theorem
Let $T = \left({S, \tau}\right)$ be a topological space which is locally path-connected.

Then $T$ is also locally connected.

Proof
Let $x \in S$ be any point of $T$.

Let $\mathcal B$ be a local basis of path-connected sets for $x$.

From Path-Connected Space is Connected, $\mathcal B$ is a local basis of connected sets.

Thus, $T$ is locally connected by definition.