  Let $f$ be a meromorphic function. We suggest a generalization of $f$ and its
derivative $f'$ sharing a nonzero value $a$ IM that does not impose any a
priori restrictions on the ramification of $f$. Then we discuss some results
around the question whether the famous theorem on entire functions $f$ that
share two values IM with $f'$ still holds for this weaker notion.
