“I disagree with your contention that once sworn in, someone is legally a President”
A) that is what swearing in does, it makes someone President
B) any dispute about whether he can be President can ONLY be resolved through impeachment process. What proof do you have that he is not eligible? It would have to be presented before an impeachment trial, there is no other forum to decide it.
According to some birthers, Chester B Arthur was never eligible to be President. (I disagree.) Was he the President? Are the laws he signed valid? (YUP).
Like I said, find your contention in the Constitution. Why the delay? Can't find it?
The eligibility requirements do not say as you contend:
" No person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty-five Years, and been fourteen Years a Resident within the United States, unless they happen to fool the people into swearing them in, or accidentally get sworn in by a mistaken belief that they are eligible.
Once again, PROVE your contention. I have proven mine. Mine is in the Constitution. So far, yours might as well be in the toilet.