No indentation after theorem environment with amsthm

\documentclass[12pt,a4paper]{scrreprt}
\usepackage{amsthm}
\usepackage{etoolbox}

\newtheorem{defn}{Definition}
\AfterEndEnvironment{defn}{\noindent\ignorespaces}

\begin{document}
\begin{defn}
Some definition.
\end{defn}
This sentence isn't indented.
\end{document}

However this goes against intuition; the sentence after a definition (or any other theorem-like structure) logically starts a new paragraph, so its first line should be treated as any other first line of a new paragraph.

You can fix this on a single theorem type basis by patching \end<name>:

\documentclass{article}

\usepackage{etoolbox}
\usepackage{amsthm}

\newtheoremstyle{abcd}% name
  {}%      Space above, empty = `usual value'
  {}%      Space below
  {\itshape}% Body font
  {}%         Indent amount (empty = no indent, \parindent = para indent)
  {\bfseries}% Thm head font
  {.}%        Punctuation after thm head
  {.5em}% Space after thm head: \newline = linebreak
  {}%         Thm head spec

\theoremstyle{abcd}
\newtheorem{defn}{Definition}

\makeatletter
\patchcmd{\enddefn}{\@endpefalse}{}{}{}
\makeatother


\begin{document}

\begin{defn}
Some definition
\end{defn}
This sentence shouldn't be indented.

\begin{defn}
Some definition
\end{defn}

This sentence should be indented.

\end{document}

The style choice has no influence.

In order to get the same behavior for all theorem environments, change the definition of \@endtheorem.

\documentclass{article}

\usepackage{amsthm}

\makeatletter
\def\@endtheorem{\endtrivlist}
\makeatother

\newtheoremstyle{abcd}% name
  {}%      Space above, empty = `usual value'
  {}%      Space below
  {\itshape}% Body font
  {}%         Indent amount (empty = no indent, \parindent = para indent)
  {\bfseries}% Thm head font
  {.}%        Punctuation after thm head
  {.5em}% Space after thm head: \newline = linebreak
  {}%         Thm head spec

\theoremstyle{abcd}
\newtheorem{defn}{Definition}

\begin{document}

\begin{defn}
Some definition
\end{defn}
This sentence shouldn't be indented.

\begin{defn}
Some definition
\end{defn}

This sentence should be indented.

\end{document}

Another example, showing this doesn't add unwanted space when two theorem environments follow each other.

\documentclass{scrbook}

\usepackage{amsthm}
\makeatletter
\def\@endtheorem{\endtrivlist}
\makeatother

\theoremstyle{plain}
\newtheorem{thm}{Theorem}[chapter]
\newtheorem*{thm*}{Theorem}

\begin{document}

\chapter{Chapter}

\section{Section}

Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. 

\begin{thm}
    Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. 
\end{thm}
No indentation. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. 

\begin{thm}
    Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. 
\end{thm}

\begin{thm}
    Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. Theorem. 
\end{thm}

Indentation. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. Some text. 

\end{document}