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% make the index link to the correct part of the page               %
% http://tex.stackexchange.com/q/74493/5645                         %
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\newcounter{indexanchor}
\newcommand*{\xindex}[1]{%
  \stepcounter{indexanchor}% make anchor unique
  \def\theindexterm{#1}%
  \edef\doindexentry{\noexpand\index
    {\expandonce\theindexterm|indexanchor{index-\theindexanchor}}}%
  \raisebox{\baselineskip}{\hypertarget{index-\theindexanchor}%
    {\doindexentry}}%
}
\newcommand*{\indexanchor}[2]{\hyperlink{#1}{#2}}
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% Aufgaben-Environment                                              %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcounter{aufgabe}
\newenvironment{aufgabe}[1][]{\refstepcounter{aufgabe}%
  \ifthenelse{\isempty{#1}}%
    {\subsection*{Aufgabe~\theaufgabe}}% if #1 is empty
    {\subsection*{Aufgabe~\theaufgabe~(#1)}}% if #1 is not empty
    \begin{adjustwidth}{1cm}{}}%
    {\end{adjustwidth}}

\newenvironment{solution}[1][]{%
    \subsection*{Lösung zu Aufgabe~#1}%
    \begin{adjustwidth}{1cm}{}}%
    {\end{adjustwidth}}
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% Define theorems                                                   %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\thmfoot}{}
\theoremstyle{break}
\setlength\theoremindent{0.7cm}
\theoremheaderfont{\kern-0.7cm\normalfont\bfseries} 
\theorembodyfont{\normalfont} % nicht mehr kursiv
\theoremseparator{\thmfoot}

\newframedtheorem{satz}{Satz}[chapter]
\newframedtheorem{lemma}[satz]{Lemma}
\newframedtheorem{proposition}[satz]{Proposition}
\newtheorem{korollar}[satz]{Korollar}
\newtheorem{folgerung}[satz]{Folgerung}
\newtheorem{plaindefinition}{Definition}
\newenvironment{definition}{\begin{plaindefinition}}{\end{plaindefinition}}
\newenvironment{definition*}{\begin{plaindefinition*}}{\end{plaindefinition*}}
\newtheorem{beispiel}{Beispiel}
\newtheorem{bemerkung}{Bemerkung}
\theoremstyle{nonumberplain}
\newtheorem{beweis}{Beweis:}
\newtheorem{behauptung}{Beh.:}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\fB{\mathfrak{B}}%Für Basis
\def\fT{\mathfrak{T}}%Für Topologie
\renewcommand{\qed}{\hfill\blacksquare}
\newcommand{\qedwhite}{\hfill \ensuremath{\Box}}
\newcommand{\powerset}[1]{\mathcal{P}(#1)}
\def\praum{\ensuremath{\mathcal{P}}}
\def\mdp{\ensuremath{\mathbb{P}}}
\def\mdc{\ensuremath{\mathbb{C}}}
\def\mdr{\ensuremath{\mathbb{R}}}
\def\mdq{\ensuremath{\mathbb{Q}}}
\def\mdz{\ensuremath{\mathbb{Z}}}
\def\mdn{\ensuremath{\mathbb{N}}}
\def\mdh{\ensuremath{\mathbb{H}}}
\def\gdw{\ensuremath{\Leftrightarrow}}

\def\atlas{\ensuremath{\mathcal{A}}}
\DeclareMathOperator{\rang}{rg}

\def\GL{\ensuremath{\mathrm{GL}}}
\def\SL{\ensuremath{\mathrm{SL}}}
\def\PSL{\ensuremath{\mathrm{PSL}}}
\newcommand\mapsfrom{\mathrel{\reflectbox{\ensuremath{\mapsto}}}}
\newcommand\dcup{\mathbin{\dot{\cup}}}
\newcommand{\id}{\textnormal{id}}
\DeclareMathOperator{\Deck}{Deck}
\DeclareMathOperator{\Fix}{Fix}
\DeclareMathOperator{\Iso}{Iso}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\Sym}{Sym}
\DeclareMathOperator{\Homoo}{\textnormal{Homöo}}
\DeclareMathOperator{\Diffeo}{Diffeo}
\DeclareMathOperator{\conv}{conv}
\DeclareMathOperator{\IWS}{IWS}
\newcommand{\iu}{{i\mkern1mu}} % imaginary unit
%\DeclareMathOperator{\Re}{Re}
%\DeclareMathOperator{\Im}{Im}

%%%Text %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand\obda{o.~B.~d.~A.\xspace}
\newcommand\Obda{O.~B.~d.~A.\xspace}
\newcommand{\ts}[1]{\textnormal{#1}} % textual subscript
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% http://tex.stackexchange.com/a/101138/5645
\newcommand\rtilde[1]{\widetilde{\mathit{#1}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\crefname{satz}{Satz}{Sätze}
\crefname{proposition}{Proposition}{Propositionen}
\crefname{lemma}{Lemma}{Lemmata}
\crefname{korollar}{Korollar}{Korollare}
\crefname{folgerung}{Folgerung}{Folgerungen}
\crefname{definition}{Definition}{Definitionen}
\crefname{plaindefinition}{Definition}{Definitionen}
\crefname{behauptung}{Behauptung}{Behauptungen}
\crefname{beispiel}{Beispiel}{Beispiele}
\crefname{aufgabe}{Aufgabe}{Aufgaben}
\crefname{bemerkung}{Bemerkung}{Bemerkungen}
%\let\OldAngle\angle
%\let\angle\sphericalangle