THERE'S NO LAW THAT SAYS A CORPSE CAN'T RUN FOR PRESIDENT

THERE'S NO LAW THAT SAYS A CORPSE CAN'T RUN FOR PRESIDENT
this made me check the news because what a great "so this is how I found out" moment it would have been
If we elect a corpse tho does that mean they immediately pass the position on to their VP once in office?