what is the definition of Ahl ul Bayt

This is so superficial and typical sunni approach of closing your eyes to the reality.

Lets get some facts straight.

All sahabas were not nice.
Imam Hasan did an agreement with Mauvia and not a bayt.
The reason Ali had so many difficulties is because the wrong kind of people attained power and wealth in the time of first three specially third
And nobody was closer to the Prophet (SAW) then Ali.

If you want to debate on these facts then open another thread and continue