Fixed typo.
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Bokuan Li
2026-06-01 23:55:52 -04:00
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commit c189b7da1a

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@@ -130,7 +130,7 @@
\item $\exp(x) = \sum_{n = 0}^\infty \frac{x^n}{n!}$.
\item $\exp(x) \in G_0(A)$ with $\exp(x)^{-1} = \exp(-x)$.
\item For any $y \in A$ commuting with $x$, $\exp(x + y) = \exp(x)\exp(y)$.
\item Let $\ell: \complex \setminus (\infty, 0] \to \complex$ be the principal logarithm. If $\sigma_A(x) \subset \bracs{\lambda \in \complex| \text{Im}(\lambda) \in (-\pi, \pi)}$, then $\ell(\exp(x)) = x$.
\item Let $\ell: \complex \setminus (-\infty, 0] \to \complex$ be the principal logarithm. If $\sigma_A(x) \subset \bracs{\lambda \in \complex| \text{Im}(\lambda) \in (-\pi, \pi)}$, then $\ell(\exp(x)) = x$.
\end{enumerate}
\end{proposition}
\begin{proof}