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

Question

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

\begin{equation}
\mathcal{Y} = \Set{ x \in \mathcal{G} | \Vert x \Vert > d }
\end{equation}

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?

Answer 1

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:
\begin{equation}
\mathcal{Y} = \Set{ x \in \mathcal{G} | \Vert x \Vert > d }
\end{equation}
\verb|\strut|-ed:
\begin{equation}
\mathcal{Y} = \Set{ x \in \mathcal{G} | \strut\Vert x \Vert > d }
\end{equation}
\end{document}