Am Dienstag, den 22.05.2018, 09:04 +0200 schrieb Jürgen Spitzmüller:
> One problem is that the theorems are named and defined differently to
> those LyX supports ("theorem" and "corollary" vs. "thm" and "cor"),
> and
> see
> 
> https://www.lyx.org/trac/ticket/10432
> 
> If I change that, it sill does not import for me, so there must be
> another issue.

It's the [section]. See attached file. This looks like a bug. Could you
file a report, please?

Jürgen

> 
> Jürgen
> 
> > 
> > Riki
\documentclass{amsart}


\theoremstyle{plain}  
\newtheorem{thm}{\protect\theoremname}[section]
%\newtheorem{thm}{\protect\theoremname}% => works
\newtheorem{cor}[thm]{\protect\corollaryname}
% -------------------------------------------------------------
\begin{document}
\section{Introduction}\label{sec:introduction}

We assume 

\begin{thm}
For every $\epsilon>0$, there is a constant $\delta>0$ so that if
\end{theorem}

\begin{cor}
For every $\epsilon>0$, there is a constant $\delta>0$ so that if
\end{cor}

\begin{thm}
There exists a positive constant $C_2$ so that
\end{thm}

\end{document}

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