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typesetting for lazy mathematicians
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Did you know that $1 + 1 = 2$? I can prove it:

$$
\begin{aligned}
1 = 1 &\implies 2 = 2\\
&\implies \frac{2}{2}(2) = 2\\
&\implies \frac{1}{2}(2) + \frac{1}{2}(2) = 2\\
&\implies 1 + 1 = 2 
\end{aligned}
$$

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