Let $T_X = (X, \mathcal{T}_X)$ and $T_Y = (Y, \mathcal{T}_Y)$ each be a D1106: Topological space such that

(i)	$T_{X \times Y}$ is a D1161: Topological product space for $(T_X, T_Y)$
(ii)	$f : X \to Y$ is a D18: Map
(iii)	\begin{equation} \Gamma : = \{ (x, f(x)) : x \in X \} \end{equation}
(iv)	$\Gamma$ is a D98: Closed set in $T_{X \times Y}$

Then $f$ is a D55: Continuous map from $T_X$ to $T_Y$.