If there is undeniable proof that Obama was born in another country it would not affect his status as president. The authority that enforces this requirement is the House and they already approved his eligibility. The authority that would overturn his eligibility is the House and they would not impeach him today.
This BC quest is fascinating and could have a devastating affect on the next election but as far as using it as a basis for reversing anything that has occurred, it is a waste of time.
Would you support Obama if he was proven to have committed fraud??
A house vote does not trump a constitutional requirement. His whole presidency would be null and void.