Even if the evidence was lost that Trump was duly elected, the military would effect a counter-coup, invoking the Declaration of Independence.
The military asked Trump to run so they would not have to do it this way.
"That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness."