However, if Trump dies, then Pence takes over and gets to appoint a new Vice President. Paul Ryan then stays as Speaker of the House. If Trump and Pence die, then Ryan takes over and gets to appoint his VP, the House elects a new Speaker and Hatch stays as President Pro-tem of the Senate. read more
Presidential Line of Succession (If all nominations approved under Trump) 1. Vice-President: Mike Pence 2. Speaker of the House of Representatives: Paul Ryan 3. President pro tempore of the Senate: Orrin Hatch 4. Secretary of State: Rex Tillerson 5. Secretary of the Treasury: Steven Mnuchin 6. Secretary of Defense: James N. Mattis 7. read more
Thus on a factual basis, yes, Orrin Hatch would automatically become President of the United States if Trump, Pence, and Ryan all simultaneously were impeached or resigned. As a practical matter, it’s worth pointing out that the odds of all of this happening are very small. read more