Smirnov: $4nD_n^{+2}\overset{d}{\longrightarrow}\chi^2_2$

If $F_X$ is any continuous distribution function, and $D_n^+$ is the Kolmogorov–Smirnov test statistic, then $\forall Z\ge0$, the limiting distribution of $V=4nD_n^{+2}$ as $n\to\infty$ is: