Well, you&#x27;ve read my implication-arrow the wrong way. Since I don&#x27;t believe that NP=co-NP (in any case), I can&#x27;t believe that P=NP because Co-P=P. So if the collapse would happen (what the OP mentioned as a possibility), one implication would be NP=co-NP. I don&#x27;t believe that so I can&#x27;t believe in collapse.