# Large braces to specify condition in a set

How do I define this in LaTeX - I am writing a description of a set, and I need huge braces because I have lot of clauses to fit in, and it will take more than 1 line. For example:

A = \{ (x,y,z) : \exists ... \forall ... (big definition of a graph)\}

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Using the amsmath package, the proper solution would be to break the long definition using multline (or multline* for no equation number):

\begin{multline}
A = \{ (x, y, z) \colon \exists \dots \forall \dots \\
\text{(your big definition of a graph goes here)} \}
\end{multline}

If you insist on having large braces around the definition of your set you can use something like:

A = \left\{ \begin{aligned} &(x, y, z) \colon \exists \dots \forall \dots \\ &\text{(your big definition of a graph goes here)} \end{aligned} \right\}
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For one line, you can use

\left\{ (x,y,z) : bla bla \right\}

For multiple lines, for example

\begin{align*}
& \left\{ (x,y,z) : bla bla \right. \\
& \hspace{1cm} \left. bla bla bla \right\}
\end{align*}
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\usepackage{braket} % needed for \Set