\usepackage{braket}
\usepackage{polynom}
\usepackage{amsthm}
\usepackage{csquotes}
\usepackage{svg}
\usepackage{environ}
\usepackage{mathtools}
\usepackage{tikz,pgfplots}
\usepackage{titleps}
\usepackage{tcolorbox}
\usepackage{enumitem}
\usepackage{listings}
\usepackage{soul}
\usepackage{forest}

\pgfplotsset{width=10cm,compat=1.15}
\usepgfplotslibrary{external}
\usetikzlibrary{calc,trees,positioning,arrows,arrows.meta,fit,shapes,chains,shapes.multipart}
%\tikzexternalize
\setcounter{MaxMatrixCols}{20}
\graphicspath{{assets}}

\newpagestyle{main}{\sethead{\toptitlemarks\thesection\quad\sectiontitle}{}{\thepage}\setheadrule{.4pt}}
\pagestyle{main}

\newtcolorbox{proof-box}{title=Proof,colback=green!5!white,arc=0pt,outer arc=0pt,colframe=green!60!black}
\newtcolorbox{bsp-box}{title=Example,colback=orange!5!white,arc=0pt,outer arc=0pt,colframe=orange!60!black}
\newtcolorbox{visu-box}{title=Visualisation,colback=cyan!5!white,arc=0pt,outer arc=0pt,colframe=cyan!60!black}
\newtcolorbox{bem-box}{title=Note,colback=gray!5!white,arc=0pt,outer arc=0pt,colframe=gray!60!black}
\newtcolorbox{prob-box}{title=Problem,colback=gray!5!white,arc=0pt,outer arc=0pt,colframe=gray!60!black}
\NewEnviron{splitty}{\begin{displaymath}\begin{split}\BODY\end{split}\end{displaymath}}

\newcommand\toprove{\textbf{Zu zeigen: }}

\newcommand\N{\mathbb{N}}
\newcommand\R{\mathbb{R}}
\newcommand\Z{\mathbb{Z}}
\newcommand\Q{\mathbb{Q}}
\newcommand\C{\mathbb{C}}
\renewcommand\P{\mathbb{P}}
\renewcommand\O{\mathcal{O}}
\newcommand\pot{\mathcal{P}}
\newcommand{\cupdot}{\mathbin{\mathaccent\cdot\cup}}
\newcommand{\bigcupdot}{\dot{\bigcup}}

\DeclareMathOperator{\ggT}{ggT}
\DeclareMathOperator{\kgV}{kgV}

\newlist{abc}{enumerate}{10}
\setlist[abc]{label=(\alph*)}

\newlist{num}{enumerate}{10}
\setlist[num]{label=\arabic*.}

\newlist{rom}{enumerate}{10}
\setlist[rom]{label=(\roman*)}

\makeatletter
\renewenvironment{proof}[1][\proofname] {\par\pushQED{\qed}\normalfont\topsep6\p@\@plus6\p@\relax\trivlist\item[\hskip\labelsep\bfseries#1\@addpunct{.}]\ignorespaces}{\popQED\endtrivlist\@endpefalse}
\makeatother
\def\qedsymbol{\sc q.e.d.} % hmm?

\lstset{
	basicstyle=\ttfamily,
	escapeinside={(*@}{@*)},
	numbers=left,
	mathescape
}