According to Reuters, Rosenstein's replacement, by way of legal succession, "would fall to Solicitor General Noel Francisco, according to an internal Justice Department memo on succession from November 2016 that is still in effect". This would have been in the tumultuous days after James Comey was sacked as Federal Bureau of Investigation director, with the president citing in part a memo penned by Rosenstein - reportedly catching him off guard.
Update 3: Now there are more sources saying he won't resign and will force Trump to fire him. As for Rosenstein's future, Trump says, "We will make a determination". Another official said that Rosenstein made the comments about taping Trump in jest.
A Justice Department spokesperson later said that the deputy attorney general did in fact mention wearing a wire but that he did so sarcastically and never meant to follow up his words with actions.
The New York Times reported Friday that Rosenstein in 2017 proposed wearing a wire to secretly record Trump and discussed enlisting Cabinet members to invoke the 25th Amendment, which would essentially declare the president unfit for office.
Rosenstein has denied the Times report. But let me clear about this: "Based on my personal dealings with the president, there is no basis to invoke the 25th Amendment".
In a second statement hours later, Rosenstein said: "I never pursued or authorized recording the president and any suggestion that I have ever advocated for the removal of the President is absolutely false", he said. If Rosenstein is fired it limits Trump's options.
It would, according to Republican allies of the President, who have urged him to hold off on a purge of Justice Department officials until Brett Kavanaugh is safely in place on the high court. The White House accepted his resignation, Bloomberg reported.
Rosenstein's decisions, including the renewal of a warrant to surveil a former Trump campaign adviser, have prompted furious Twitter outbursts from the president.
For months, there has been speculation that Mr. Trump could fire Mr. Sessions, Mr. Rosenstein or perhaps both. The memo did not explicitly call for Comey's firing, but the White House nonetheless used it to justify the decision, which Trump later admitted was driven by the Russian investigation. And they have said the president risks sparking a constitutional crisis if he tries to derail the special counsel investigation.