If the report is true and if it is confirmed that Trump obstructed justice by trying to get former Federal Bureau of Investigation Director James Comey, and perhaps others, to end the Russian Federation probe, that could lead to the President's impeachment by Congress, something that many Democratic lawmakers say they would pursue if circumstances warrant.
The president has long vehemently denied any collusion with Moscow. Mr. Trump has disputed both claims, saying flatly that he never asked Mr. Comey to drop the Flynn probe. Thursday night, Rosenstein issued an unusual statement complaining about leaks in the case.
But it was released shortly after The Washington Post reported - citing unnamed United States officials familiar with the matter - that the business dealings of President Donald Trump's son-in-law, Jared Kushner, are being investigated by Justice Department special counsel Robert Mueller, who has been investigating Russian meddling in the 2016 election and the Trump administration's potential ties to Russia.
Special counsel Robert Mueller has brought 13 lawyers on board to handle the Russian Federation investigation, with plans to hire more, according to his spokesman Peter Carr. Trump cited the memo in firing Comey. "It has not produced any of the requested records".More news: Deputy AG warns 'Americans should be skeptical about anonymous allegations'
She was appointed to the Privacy and Civil Liberties Oversight board in 2012 by President Obama, then appointed to the associate attorney general position by Trump.
There has been no indication that Mueller told Trump to fire Comey.
Rosenstein, in office for less than two months, is the top Justice official overseeing the probe because Attorney General Jeff Sessions has recused himself. The White House has used a memo he wrote to justify Trump's decision to fire Federal Bureau of Investigation director James Comey, but that Trump action may now be part of the inquiry.
Mr Trump's tweets came after the top lawyer for his transition team warned the organisation's officials to preserve all records and other materials related to the Russian Federation probe. An official of Trump's transition confirmed the lawyer's internal order, which was sent Thursday.More news: Duterte resurfaces after rest, says battle with militants winding down
Mr Comey told a Senate panel last week he believed Mr Trump fired him to undermine the FBI's Russian Federation probe and testified that the President directed him in February to drop an investigation into former national security adviser Michael Flynn in relation to the Russian Federation matter.
President Trump's personal lawyer has retained a Washington, D.C. -based lawyer to represent him in the various government probes connected to Russian involvement in the 2016 election.
Top Democratic Senator Dianne Feinstein expressed concern that Trump may try to fire both Mueller and Rosenstein, warning "he's in for a rude awakening" if he thinks he can shut down the investigation.
The White House has directed questions for details to outside legal counsel, which has not responded. Any such step would face a steep hurdle as it would require approval by the U.S. House of Representatives, which is controlled by Trump's fellow Republicans.More news: Trump's friend says he might fire Mueller
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