Hyperlinks to theorem-like environments that begin with a nested itemize or enumerate are often broken (see for example http://tex.stackexchange.com/a/187647).
Here is a MWE:
\documentclass{amsart}
\usepackage{hyperref}
\newtheorem{theorem}{Theorem}
\begin{document}
\begin{theorem}
\label{bigthm}
\begin{itemize}
\item A claim.
\item Another claim.
\end{itemize}
\end{theorem}
Let's prove Theorem~\ref{bigthm}.
\end{document}
This produces a warning:
pdfTeX warning (dest): name{theorem.1} has been
referenced but does not exist, replaced by a fixed one
and the hyperlink doesn’t work.
(By the way, if we use article instead of amsart, then everything works as expected. What makes the AMS document class behave differently?)
One solution is to add \leavevmode right after \label{bigthm}:
\begin{theorem}
\label{bigthm}\leavevmode
\begin{itemize}[...]
This fixes the hyperlink, but of course it also changes the formatting, which I don’t want.
A better solution (thanks, Simon!), which does not change the formatting, is to add \phantomsection right before \label{bigthm}:
\begin{theorem}
\phantomsection\label{bigthm}
\begin{itemize}[...]
Now everything works. Great!
However, this better solution does not work with \autoref, alas:
Let's prove~\autoref{bigthm}.
now produces Let’s prove section 1. (albeit with a working hyperlink).
So my question is this: Is there a way to fix the hyperlink that works with \autoref without changing the formatting?

\leavevmode\label{bigthm}, without\phantomsection– Jun 02 '17 at 15:39\leavevmodethe first item starts on the line of header line of the environment, which looks very ugly – Jun 02 '17 at 16:06