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American Mathmatical Society
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All commands below came with package amsthm.
\usepackage{amsthm} ::amsmath::

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Erstellen von Theoremen ::newtheorem::
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\newtheorem{latex-synonym}{name}
\newtheorem*{latex-synonym}{name}
\newtheorem*{latex-synonym}[latex-synonym2]{name}
\newtheorem*{latex-synonym}{name}[section]

Defines a new enviroment latex-synonym which is numbered as
theorem with name "name" (f.e. axiom).
\begin{latex-synonym}
bla
\end{latex-synonym}
for useing the new theorem

* subdues the numbering.
latex-synonym2 : uses the counter from this theorem
section : an incretion of this counter would set the
theorem counter to the value null
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\theoremstyle{style} ::theoremstyle::

style :
       plain (default)
       definition
       remark
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\swapnumbers ::swapnumbers::

numbering on the left side of the theorem