Adjusted citation formats. Moved citation off of named theorems if possible.
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Bokuan Li
2026-03-19 23:58:16 -04:00
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22 changed files with 60 additions and 60 deletions

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@@ -46,7 +46,7 @@
\end{definition}
\begin{proposition}[{{\cite[Proposition 4.5.2]{Bogachev}}}]
\begin{proposition}[Chain Rule]
\label{proposition:chain-rule-sets}
Let $E$, $F$, $G$, be TVSs over $K \in \RC$ with $F, G$ being separated, $\sigma \subset B(E)$ and $\tau \subset B(F)$ be upward-directed families that contain all finite sets. If:
\begin{enumerate}
@@ -59,7 +59,7 @@
\]
\end{proposition}
\begin{proof}
\begin{proof}[Proof {{\cite[Proposition 4.5.2]{Bogachev}}}. ]
Since $g$ is $\tau$-differentiable at $f(x_0)$, there exists $s \in \mathcal{R}_\tau(F; G)$ such that
\[
g(f(x_0) + h) = g \circ f (x_0) + D_\tau g(f(x_0))h + s(h)