# Product of T_1 and T_2 spaces

Let $n\in\{0,1,2\}$ en $X_i$ is a $T_n$-space for each $i$.
I want to proof that the product of the $X_i$'s is also a $T_n$ space.
And if $X_i\neq\emptyset$ for all $i$ then the reverse implication is true.