Is being a citizen of the United States a necessary or a sufficient condition for being president of the United States? My answer is being a citizen of the United States would have to be a necessary condition for being president of the United States, since it’s impossible to be the president of the United States while not being a citizen (specifically, a natural born citizen).  Being a citizen of the United States can’t be a sufficient condition for being the president of the United States, since this would imply that it’s impossible to be  a citizen of the United States without being the president.

I'm studying necessary and sufficient conditions for my philosophy class, and I just want to make sure that I'm understanding the definitions. 