As far as I understand, the IsAvailableOnEntry() function basically implements the same functionality as the properlyDominates() block disposition. The primary difference (apart from a weaker implementation) seems to be in this comment at the top:
// Checks if the SCEV S is available at BB. S is considered available at BB // if S can be materialized at BB without introducing a fault.
However, I don't really understand why there would be such a requirement. It's my understanding that SCEV explicitly does not care about trapping udiv instructions itself, and it's the job of SCEVExpander's isSafeToExpand() to make sure these don't get expanded if they may trap.