# How can I control the height of my left-right delimited equation part?

I have a simple equation, much like the following (I use the braket package) :

$$\mathcal{Y} = \Set{ x \in \mathcal{G} | \Vert x \Vert > d }$$


My gripe with this equation's rendering is that the | and || are close to eachother and of the exact same height - I'd like the | bar to be bigger to make the symbols more distinct. One way to do this would be to make the whole Set, or left-right environment, a bit taller. How can I do this? Can I insert an invisible character that will make the whole thing bigger? Should I insert a higher | bar manually?

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Insert a \strut before the \Vert (or anywhere so the extensible delimiters are affected):

\documentclass{article}
\usepackage{braket}% http://ctan.org/pkg/braket
\begin{document}
\noindent Original:
$$\mathcal{Y} = \Set{ x \in \mathcal{G} | \Vert x \Vert > d }$$
\verb|\strut|-ed:
$$\mathcal{Y} = \Set{ x \in \mathcal{G} | \strut\Vert x \Vert > d }$$
\end{document}

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@levesque: \strut is a zero-width box that is inserted and depends on the font size. It has height 70% and depth 30% of \baselineskip. So, inserting \strut inserts a zero-width box of total height equivalent to \baselineskip, but perhaps deeper than the other content. Since the delimiters {...|...} are stretchable, they extend to compensate for this newly-introduced vertical strut. –  Werner Jul 17 '12 at 18:03