\documentclass[a4paper, ngerman]{report}
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\begin{document}
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\begin{center}

\textbf{Definition der Fakultät} 
$$n! = \prod_{i=1}^{n} i$$ \\
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\textbf{Menge aller ungeraden natürlichen Zahlen}
$$\{ x \mid x \in \mathds{N}, \mathrm{ungerade}(x) \}$$
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\textbf{Elimination $\neg\exists x$}
$$\neg\exists x . p(x) \Leftrightarrow \forall x . \neg p(x)$$

\end{center}

\end{document}