I have an equation [P(A)= summation = cases]
The problem is that they come out too long. I wanted to stack the 1st part [P(A)] above the 2nd two. I tried multiline but I have trouble with it. How do I approach this? Below is the raw code I used:
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\begin{equation}
P(A_{1} \cup A_{2}\ \cup A_{3} \cup~\ldots)= \sum_{i=1}^{\infty}P(A)_{i}=\begin{cases}
A_{1},A_{2},A_{3}~\ldots &\text{are countable numbers;}\\
A_{i} \cap A_{j} = \emptyset &\text{$i \ne j$}
\end{cases}
\end{equation}