# Subscript overlap issue with \mathclap

I wanted to use \mathclap (from mathtools) to make more compact the appearance of

\documentclass[12pt]{report}
\usepackage{mathtools}

\begin{document}
$\lim_{(x,y)\to (0,0)} f(x,y)$
\end{document}


I decided to use \mathclap, so I replaced the above code with

$\lim_{\mathclap{(x,y)\to (0,0)}} f(x,y)$


but as can be seen in the resulting picture, f(x,y) dips a bit too low and brushes against the subscript of the limit. Are there any good ways to make the appearance compact without getting the overlapping of f(x,y) with the subscript?

You can lower that subscript by a little by adding an invisible rule via \mystrut:
\documentclass{article}
$\lim_{\mathclap{(x,y)\rightarrow (0,0)\mystrut}} f(x,y)$