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RemyDegenne committed Dec 31, 2023
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2 changes: 1 addition & 1 deletion blueprint/src/chapter/tight.tex
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Expand Up @@ -52,6 +52,7 @@ \section{Prokhorov's theorem}
\end{proof}

\begin{lemma}\label{lem:prokhorov_aux1}
\uses{def:tight}
Let $E$ be a complete separable metric space and let $S \subseteq \mathcal P(E)$. If the closure of $S$ is compact, then $S$ is tight.
\end{lemma}

Expand All @@ -66,7 +67,6 @@ \section{Prokhorov's theorem}
\end{proof}

\begin{theorem}[Prokhorov's theorem]\label{thm:prokhorov}
\uses{def:tight}
Let $E$ be a complete separable metric space and let $S \subseteq \mathcal P(E)$. Then the following are equivalent:
\begin{enumerate}
\item $S$ is tight.
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