Trump says he'd cooperate with impeachment inquiry 'if the rules are fair'

President TrumpDonald John TrumpZuckerberg launches public defense of Facebook as attacks mount Trump leaning toward keeping a couple hundred troops in eastern Syria: report Warren says making Israel aid conditional on settlement building is 'on the table' MORE on Wednesday said he might be willing to cooperate with House Democrats' impeachment inquiry, but only if they hold a formal vote to outline rules for the investigation and if those rules "are fair."

Trump was asked twice during an event in the Roosevelt Room of the White House if he would cooperate with Democrats leading the impeachment inquiry.

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“We would if they give us our rights. It depends," Trump said initially, indicating that he would not be inclined to cooperate with the probe if Democrats "say you can’t have lawyers, you can’t ask questions, you can’t have anybody present, all of these crazy things."

Asked again to clarify his position, Trump reiterated that he would collaborate with Democrats "if the rules are fair."

White House counsel Pat Cipollone on Tuesday night sent a letter to Speaker Nancy PelosiNancy PelosiTurkey sanctions face possible wall in GOP Senate Trump lashes out at Pelosi as she visits Jordan to discuss Syria Thomas D'Alesandro III, brother of Nancy Pelosi, dies at 90 MORE (D-Calif.) and three committee leaders stating that the administration would not cooperate with any of their requests related to the impeachment inquiry.

The White House decried the impeachment inquiry as an "invalid" effort to "overturn the results of the 2016 election" and asserted that the lack of a formal vote to start the investigation broke with past precedent and violated the executive branch's rights.

Pelosi announced late last month that the House would formally launch the inquiry into Trump, alleging he abused his office by urging Ukraine's president to “look into” Democratic presidential candidate Joe BidenJoe BidenZuckerberg launches public defense of Facebook as attacks mount Graham: 'Stupid' for Trump to ask China to investigate Biden Romney: Republicans don't criticize Trump because they fear it will help Warren MORE.

Pelosi has noted that there is no legal obligation for the House to formally vote to authorize the impeachment inquiry. Some Democrats and Republicans have said they believe there should be a vote, however.

Democratic committee leaders have in recent days issued subpoenas demanding records from the White House, Vice President Pence, the Office of Management and Budget, the Pentagon and Trump’s personal lawyer Rudy GiulianiRudy GiulianiHurd: No Ukrainian officials have told State Department 'they felt like their arms were being twisted' House Democrat pledges 'there will be open hearings' in impeachment inquiry Combatting fake news on social media will take a village MORE as part of the investigation.

Top Democrats have warned that the White House's refusal to comply with their requests could be cited as obstruction in a potential article of impeachment.