# A statement implies three other statements, how can I achieve this whilst having the statements in display math mode?

here is what I have at the moment

$$\implies\left\{\right.$$
$$5a+5b+16c=-\sum_{i=1}^{i=8}\chi_i(g_1)\chi_i(g_\lambda)$$
$$a-b=-\sum_{i=1}^{i=8}\chi_i(g_2)\chi_i(g_\lambda)$$
$$a+b=-\sum_{i=1}^{i=8}\chi_i(g_{2,2})\chi_i(g_\lambda).$$


and when the document is built:

What I would really like is to have the implies symbol pointing into the centre of a large left-hand curly bracket which wraps around the three statements, whilst maintaining the statements current formatting e.g. display math mode!

The problem i've been having is whenever I get the statements into an array the summations lose their formatting and turn small & scruffy.

Can anybody help me to achieve this?

• you shouldn't use $$ in latex but you should never, even in plain use $$ at the start of a paragraph, or immediately after another display, the spacing will be completely wrong. You should use a mult-line alignment environment such as align from amsmath – David Carlisle Nov 8 '15 at 15:27

\documentclass{article}
\usepackage{amsmath}
\begin{document}

zzzz
\begin{gather*}
\sum_{zzz}^{zzz}\ldots\\
\implies\left\{\begin{aligned}
5a+5b+16c&=-\sum_{i=1}^{i=8}\chi_i(g_1)\chi_i(g_\lambda)\\
a-b&=-\sum_{i=1}^{i=8}\chi_i(g_2)\chi_i(g_\lambda)\\
a+b&=-\sum_{i=1}^{i=8}\chi_i(g_{2,2})\chi_i(g_\lambda)\end{aligned}
\right.
\end{gather*}

\end{document}