(CNN) House Minority Leader Kevin McCarthy asked House Speaker Nancy Pelosi to suspend Democrats' impeachment inquiry into President Donald Trump in a letter on Thursday morning, calling for her seek the full House's approval to launch the inquiry and establish rules and procedures for the probe.

"Unfortunately, you have given no clear indication as to how your impeachment inquiry will proceed — including whether key historical precedents or basic standards of due process will be observed," McCarthy wrote. "In addition, the swiftness and recklessness with which you have proceeded has already resulted in committee chairs attempting to limit minority participation in scheduled interviews, calling into question the integrity of such an inquiry."

McCarthy, a California Republican, asked Pelosi 10 questions about how the inquiry will be conducted, including whether Republicans will have equal subpoena power on the investigative committees, and if the President's counsel will be able to attend hearings, present evidence, and cross-examine witnesses.

Republicans have urged Pelosi to hold a full vote in the House since she publicly announced her support for a formal impeachment inquiry September 24.

The full House voted to authorize impeachment inquiries for Presidents Richard Nixon and Bill Clinton. But Democrats say there's nothing in the rules or the Constitution requiring such a vote, and the current House rules give the committees the tools they need already to conduct an inquiry, like subpoena power.

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