Sadly, that's not how it would work. Everything he's done would be legally valid. And the order of presidential succession would decide the next president.
if i was looking to defraud a nation state that functioned in this way i would put in power an individual whose ethics would allow for any motion i willed to be enabled and whose demeanor would insure the individuals eventual ousting
in this way the nation state would assume the problem had been addressed by the removal of the individual all the while my desires would still be in effect
it is like intentionally failing to pay your contractors knowing full well that any lawsuit would be either impractical to pursue or any settlement would be a fraction of what was originally bid