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\documentclass[a4paper, ngerman]{report}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{babel}
\usepackage{eurosym, tipa, textcomp, textgreek, upgreek}
\usepackage{amssymb, amsfonts, amsmath, dsfont}
\usepackage[hidelinks]{hyperref}
\usepackage{cleveref}
\usepackage{graphicx}
\usepackage{longtable, array, tabularx, booktabs, colortbl}
\usepackage{minted}
\begin{document}
\thispagestyle{empty}
\begin{center}
\textbf{Definition der Fakultät} \\
(Definition of factorial)
$$n! = \prod_{i=1}^{n} i$$ \\
~ \\
\textbf{Menge aller ungeraden natürlichen Zahlen} \\
(Set of all odd natural numbers)
$$\{ x \mid x \in \mathds{N}, \mathrm{ungerade}(x) \}$$
~ \\
\textbf{Elimination $\neg\exists x$}
$$\neg\exists x . p(x) \Leftrightarrow \forall x . \neg p(x)$$
\end{center}
\end{document}