I do not see the word Vice-President anywhere in the text. The constitution specifies the succession. Yet there is no natural born requirement for vice-President but a clear statement that the Vice-President replaces the President in case he is removed or dies.
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Au contraire, mon frere ...
Might be worth your while to read the 12th Amendment ...
” ... The person having the greatest number of votes as Vice-President, shall be the Vice-President, if such number be a majority of the whole number of Electors appointed, and if no person have a majority, then from the two highest numbers on the list, the Senate shall choose the Vice-President; a quorum for the purpose shall consist of two-thirds of the whole number of Senators, and a majority of the whole number shall be necessary to a choice. But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.”
Well dog my cats, sure enough there it is.
I should have known the FF would have anticipated such an event. No wonder Chester Arthur did not get nominated for a run at a second term. As a VP he probably did not get much scrutiny But a direct run at the top slot? The Party was apparently not going to risk the rumors being true.