In this weekly column "Cross-Exam," Elie Honig, a CNN legal analyst and former federal and state prosecutor, gives his take on the latest legal news. Post your questions below. The views expressed in this commentary are his own. View more opinion on CNN. Watch Honig answer reader questions on "CNN Newsroom with Ana Cabrera" at 5:40 p.m. ET Sundays.

(CNN) When the House votes Thursday on formal procedures governing its impeachment inquiry, the administration will no longer have a reason to argue that the impeachment inquiry is invalid without a full vote and that the proceedings are unfairly secretive and one-sided.

This argument was already on shaky footing. The Constitution gives the House "sole power of impeachment," without specifying any particular investigative process requirement. And the first round of closed-door House depositions are open to Republican and Democratic members of the investigating committees, all of whom have the ability to question the witnesses.

This week's vote should spike any remaining Republican gripe about the fairness of the process. The House resolution provides for open, public hearings in the House; grants subpoena power to Republicans (though subject to approval by Democratic committee chairs); requires a written, public report by the House Intelligence Committee setting forth its findings; and provides for transmission of all records and materials to the House Judiciary Committee, which is charged with ultimate responsibility for conducting impeachment proceedings.

Tellingly, the White House and other leading Republicans responded to the announcement of the vote not with satisfaction that their calls for a full vote and more process have been heeded, but rather with anger, seemingly more at losing yet another political talking point.

Trump's "perfect phone call" defense crashed upon release of the summary transcript of that call, highlighted by Trump's imperfect request of Ukrainian President Volodymyr Zelensky: "I would like you to do us a favor, though."

And the testimony of Army Lt. Col. Alexander Vindeman -- a career military and diplomatic professional who was awarded a Purple Heart for sustaining injuries in combat -- further seals the deal.

According to Vindeman, who, as part of his duty, listened to Trump's July 25 call with Zelensky, Trump tied United States support for Ukraine to his demands for partisan investigations. Vindeman saw Trump's actions as improper and a threat to national security.

Thursday's vote will provide political benefits for House Democrats. It also will help legally as they fight to overcome White House stonewalling and compel witness testimony and other evidence. Multiple federal judges already have held that the House has broad subpoena power pursuant to its impeachment authority, even without a full formal vote.

Now, the full vote should further bolster House Democrats' legal efforts to compel evidence and break the White House stonewall.

To be clear: Trump and others likely will continue to make the aforementioned defenses. But with each passing week, those claims drift further and further away from any factual mooring. Eventually, the truth catches up.

Now, your questions:

Bob (South Carolina): Bill Taylor seems to have confirmed there was a quid pro quo with Ukraine. But how is a quid pro quo relevant and necessary in the impeachment process?

"Quid pro quo" is a Latin phrase meaning essentially "this for that" -- an exchange. Trump has repeatedly claimed there was "no quid pro quo" between him and Ukraine. But, as discussed above, that defense has sustained serious damage with the recent admission by Mulvaney and the testimony of Bill Taylor, the top US diplomat in Ukraine.

And remember: The House does not need a crime to impeach. Abuse of power or misuse of office is sufficient. If there was, in fact, a quid pro quo, the case for abuse of power -- hence, the case for impeachment -- becomes difficult to refute. I believe this is why Trump has unleashed vicious personal attacks against Taylor. Trump likely recognizes that Taylor's testimony could vastly increase the likelihood of impeachment and potential conviction and removal.

Tom (Illinois): What's the next step for the New York case in which Trump's team argued he could shoot somebody on Fifth Avenue without getting arrested?

In September, the Manhattan district attorney subpoenaed Trump's accounting firm, Mazars USA, for eight years of Trump's tax returns. Trump challenged the subpoena in federal court, but Judge Victor Marrero upheld the subpoena, holding that Trump's legal position was "an overreach of executive power" and "repugnant to the nation's governmental structure and constitutional values."

Trump then appealed to the Second Circuit Court of Appeals. At oral argument , Trump's attorney contended that, even if Trump shot somebody on Fifth Avenue (as Trump once boasted he could do without losing voters), he could not be arrested while in office or even criminally investigated. While it is debatable whether a sitting president can be charged criminally, the notion that a sitting president cannot even be investigated is entirely novel and legally dubious.

The Court of Appeals should rule within the next several weeks. Given the absurdity of Trump's position I expect him to lose. Trump then can ask the Court of Appeals to consider the case "en banc" -- meaning the entire Court of Appeals hears the case, rather than the standard three-judge panel. En banc review is granted only in the rarest circumstances, and I do not expect the court to grant it here.

After that, Trump can petition the Supreme Court to take the case. The Supreme Court only takes a small fraction of the cases presented to it, typically well under 5%. If the Supreme Court takes the case, it will have the final word. If not, then the ruling of the Court of Appeals will govern. Given the meritless argument Trump's attorneys made in the Court of Appeals, I do not expect that ruling to be a good one for Trump.

Chris (Illinois): What would happen if Trump refused to follow an order from the Supreme Court to release documents and comply with congressional subpoenas?

If Trump defies an order from the Supreme Court -- or any final order from a federal court -- then there are only two potential legal remedies.

First, the judiciary or Congress could refer the case to the Justice Department for prosecution for criminal contempt. It plainly would be contempt for a President -- or any person -- to simply defy a final court order. That said, current Justice Department policy counsels against indicting a sitting President, likely rendering this option toothless.

Second, Congress could -- and arguably must -- impeach. By refusing to comply with a final order from a federal court, the President would dramatically upset the balance of powers by essentially placing himself beyond the reach of both the legislative branch (by defying the subpoena) and the judicial branch (by defying the final court order). Impeachment and removal from office therefore would be the most effective -- and, really, only -- available legal remedy.

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