Itemizing theorem body
here is a mechanism for removing the extra space between the theorem head and the list. i don't really like it, but it will provide necessary information to make this a feature of the ams theorem facility when that is overhauled. (latex doesn't make things like this easy.)
\documentclass{amsart}
\newtheorem{thm}{Theorem}[section]
\begin{document}
\begin{thm}
\leavevmode
\makeatletter
\@nobreaktrue
\makeatother
\begin{enumerate}
\item Item 1
\item Item 2
\item Item 3
\end{enumerate}
\end{thm}
\end{document}
Here is a solution with enumitem
. One can define a thmitemise
clone, which incorporates by default the given setup, to avoid having to type it each time it is used:
\documentclass{book}
\usepackage{amsthm} \newtheoremstyle{mystyle}{}{}{}{}{\bf}{}{\newline}{}
\theoremstyle{mystyle}
\newtheorem*{mythm}{Theorem}
\usepackage{enumitem, showframe}
\begin{document}
\begin{mythm}
\begin{itemize}[wide=0.5em, leftmargin =*, nosep, before = \leavevmode\vspace{-\baselineskip}]
\item This an itemized body text.
\item This an itemized body text.
\end{itemize}
\end{mythm}
\end{document}
An even easier solution may be this:
\usepackage[inline]{enumitem}
\begin{mythm}
\begin{enumerate}[label=(\arabic*)]
\item[]
\item state 1
\item state 2
\end{enumerate}
\end{mythm}