Adjusted citation formats. Moved citation off of named theorems if possible.

src/dg/derivative/taylor.tex

@@ -1,7 +1,7 @@
 \section{Taylor's Formula}
 \label{section:taylor}
 
-\begin{theorem}[Taylor's Formula, Lagrange Remainder {{\cite[Theorem 4.7.1]{Bogachev}}}]
+\begin{theorem}[Taylor's Formula, Lagrange Remainder]
 \label{theorem:taylor-lagrange}
     Let $-\infty < a < b < \infty$, $E$ be a separated locally convex space, $S \subset [a, b]$ be at most countable, $n \in \natp$, and $f \in C^{n}([a, b]; E)$ be $(n+1)$-fold differentiable on $[a, b] \setminus N$, then
     \[
@@ -14,7 +14,7 @@
     \]
 
 \end{theorem}
-\begin{proof}
+\begin{proof}[Proof {{\cite[Theorem 4.7.1]{Bogachev}}}. ]
     If $n = 0$, then the theorem is the \hyperref[Mean Value Theorem]{theorem:mean-value-theorem-line}.
 
     Suppose inductively that the theorem holds for $n$. Let
@@ -60,7 +60,7 @@
 
 \end{proof}
 
-\begin{theorem}[Taylor's Formula, Peano Remainder {{\cite[Theorem 4.7.3]{Bogachev}}}]
+\begin{theorem}[Taylor's Formula, Peano Remainder]
 \label{theorem:taylor-peano}
     Let $E$ be a topological vector space, $\sigma \subset B(E)$ be an upward-directed family that includes bounded sets contained in finite-dimensional subspaces, $F$ be a separated locally convex space, $U \subset E$ be open, and $f: U \to F$ be $n$-fold $\sigma$-differentiable at $x_0 \in U$, then there exists $r \in \mathcal{R}_\sigma^n(E; F)$ such that
     \[
@@ -68,7 +68,7 @@
     \]
 
 \end{theorem}
-\begin{proof}
+\begin{proof}[Proof {{\cite[Theorem 4.7.3]{Bogachev}}}. ]
     Let
     \[
     r(h) = g(x_0 + h) - g(x) - \sum_{k = 1}^n \frac{1}{k!}D^k_\sigma f(x_0)(h^{(k)})