Graph of Continuous Mapping to Hausdorff Space is Closed in Product

Theorem
Let $T_A = \struct {A, \tau_A}$ and $T_B = \struct {B, \tau_B}$ be topological spaces.

Let $T_B$ be a Hausdorff space.

Let $f: T_A \to T_B$ be a continuous mapping.

Then the graph of $f$ is a closed subset of $T_A \times T_B$ under the product topology.