The latex environments such as align,align*, aligned, split etc. can't work well in theorem, lemma etc. latex environments.
Such as\begin{theorem} $$ \begin{aligned} f(x)&=\chi_{A_i}(x)\\ =&g(x) \end{aligned} $$ \end{theorem}
If we change code as the following:\begin{theorem} $$ \begin{aligned} f(x)&=\chi_{ A_i}(x)\\ =&g(x) \end{aligned} $$ \end{theorem}
It works well.
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