Adjusted citation formats. Moved citation off of named theorems if possible.
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@@ -113,7 +113,7 @@
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so $\fb_S$ is a fundamental system of entourages.
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\end{proof}
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\begin{definition}[Topology of a Uniform Space, {{\cite[Proposition 2.1.2]{Bourbaki}}}]
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\begin{definition}[Topology of a Uniform Space]
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\label{definition:uniformtopology}
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Let $(X, \fU)$ be a uniform space and
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\[
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@@ -122,7 +122,7 @@
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then there exists a unique topology $\topo \subset 2^X$ such that $\cn_\topo = \cn$, known as the \textbf{topology induced by the uniform structure $\fU$}.
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\end{definition}
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\begin{proof}
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\begin{proof}[Proof {{\cite[Proposition 2.1.2]{Bourbaki}}}. ]
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Using \autoref{proposition:neighbourhoodcharacteristic}, it is sufficient to show that $\cn(x)$ is non-empty for all $x \in X$, and that it satisfies (F1), (F2), (V1), and (V2). Firstly, since $\fU \ne \emptyset$, $\cn(x) \ne \emptyset$ for all $x \in X$.
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(F1): Let $U \in \fU$ and $V \supset U(x)$, then
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