Ended proof sections

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@@ -82,6 +82,8 @@ This section shows that \somdl implies MU-\igame using the algebraic group model
\end{figure}
\begin{proof}
\item Now the individual game-hops are analyzed and the probability, that an adversary can distinguish between two games, is upper bounded.
\item \paragraph{\underline{$G_0$:}} Let $G_0$ be defined in figure \ref{fig:omdl'_implies_mu-igame} by excluding all boxes. Clearly, $G_0$ is the MU-\igame. By definition,
\[ \advantage{\group{G},\adversary{A}}{\text{MU-\igame}}(\secparamter) = \Pr[\text{MU-\igame}^{\adversary{A}} \Rightarrow 1] = \Pr[G_0^{\adversary{A}} \Rightarrow 1]. \]