In an ongoing House Rules Committee hearing about the resolution to call on Vice President Mike Pence to invoke the 25th Amendment, Democrats are pushing back on GOP Rep. Jim Jordan of Ohio for continuing to suggest the 2020 election should be investigated for fraud.

When Committee Chair James McGovern, D-Mass., asked Jordan if he will concede that the election was not stolen, Jordan repeated Biden was the president-elect but wouldn't say if, in his view, Biden won fairly.

"He won the election because the way the process works is the last chance to object is Jan. 6, and the objection didn't prevail," Jordan said.

"If we want to talk about healing, we have to talk about truth," McGovern interjected in a contentious exchange. "And if we want to talk about healing, we have to deal with the issue of accountability."

Rep. Jamie Raskin, D-Md., who authored the resolution, at one point asked if there's anything Trump could possibly do that would cause Jim Jordan to not defend him.

"Even after a mob of violent insurrectionists staged a gallows outside of the Congress and chanted, 'Hang Mike Pence,' even though they tried to force Mike Pence not to do his job, even after five people are dead, we continue to hear these lies and slurs about the 2020 presidential election," Raskin said.

Rep. Ed Perlmutter, D-Colo, also directly asked Jordan, "Joe Biden won the election, yes or no?"

"Yes, he won. But there are serious problems with this election that deserve an investigation," Jordan said, continuing to air his grievances until Perlmutter interrupted, "I asked you a yes or no question. Please! We're trying to bring this nation back together. Jim, please!"

Jordan, a Trump loyalist, received the Presidential Medal of Freedom from Trump in a closed ceremony at the White House on Monday.

House leadership is currently meeting with the United States Capitol Police's acting police chief and the new House Sergeant at Arms to discuss security concerns and threats related to Capitol Hill following the Jan. 6 riot, a top Democratic House aide tells ABC News.

The aide said House Speaker Nancy Pelosi called the meeting, which includes Rep. Zoe Lofgren, D-Calif., who chairs the House Administration Committee overseeing House security, and Rep. Rosa DeLauro, D-Conn., among others in leadership.

Later Tuesday, there will be an all-senators briefing on inauguration security. The briefing will not occur in person.

Senate Minority Leader Chuck Schumer notified senators of the briefing, which will include representatives from the Secret Service, Department of Defense and Department of Homeland Security, according to a Senate source.

Tuesday's meetings come after Democratic offices distributed a memo to colleagues on how lawmakers can be reimbursed for purchasing bulletproof vests and hiring security.

-ABC News' Allison Pecorin, Mariam Khan and Benjamin Siegel

The House Rules Committee began meeting at 11 a.m. Tuesday to take up the rules governing floor debate for a resolution pressing Vice President Mike Pence to use the 25th Amendment and force Trump out of office.

"It is absolutely critical for us to make clear that this was a dereliction of presidential duties," said Rep. Jamie Raskin, D-Md., one of the resolution's co-sponsors. "The president is not even minimally discharging the basic duties of his office."

A vote on the resolution is expected around 7:30 p.m., according to House Majority Leader Steny Hoyer’s office.

Democrats will give Pence "24 hours after passage" to respond and mobilize the Cabinet to remove Trump, said House Speaker Nancy Pelosi in a statement Monday, otherwise the House will move forward with an impeachment vote as early as Wednesday, setting up Trump to be the first president in U.S. history impeached twice.

The House Rules Committee is expected to take up rules governing floor debate for the impeachment resolution -- which charges Trump with inciting an insurrection -- later in the day.

The president appeared before the press for the first time since last Wednesday -- the day his supporters stormed the Capitol following his remarks at a rally calling on them to march to the building -- when he departed the White House for Alamo, Texas, on Tuesday morning. He took the opportunity to criticize efforts to remove him from office.

"As far as this is concerned, we want no violence -- never violence," Trump said outside the White House. "On the impeachment, it's really a continuation of the greatest witch hunt in the history of politics. It's ridiculous. It's absolutely ridiculous. This impeachment is causing tremendous anger, and you're doing it, and it's really a terrible thing that they're doing."

"For Nancy Pelosi and Chuck Schumer to continue on this path, I think it's causing tremendous danger to our country, and it's causing tremendous anger," Trump added. "I want no violence."

Trump is expected to hold an event related to the souther border later this afternoon. Before addressing impeachment, he said the wall has made a "tremendous difference" in stopping illegal immigration.

-ABC News' Ben Gittleson

While House Democrats take action to remove Trump from office after he encouraged supporters to march on Capitol Hill last week.

Trump on Monday plans to award the Presidential Medal of Freedom -- the nation's highest civilian honor -- to GOP Rep. Jim Jordan of Ohio, his longtime defender, in a closed event, something not the event not mentioned on his schedule, a White House official said. Later in the week, he's expected to bestow the same honor on New England Patriots head coach Bill Belichick.

Sources told ABC News over the weekend the White House is building out a week of programming to highlight Trump’s record over the dwindling days of his administration, despite amplified calls for Trump to resign or risk facing a second impeachment. Appearing to dismiss those calls, Trump has a trip planned for Tuesday to Texas to showcase the border wall he's pushed hard for, and is expected to host events in the next week to highlight what sources say are the administration's achievements in areas including foreign affairs, business and pandemic response.

The president was angry for much of this past weekend -- mostly about Twitter permanently suspending his account on Friday, according to sources who have spoken directly to Trump. Sources said the president is expected to depart Washington before Biden takes the oath of office on Jan. 20.

While Biden said last week it’s a "good thing" Trump isn’t attending his inauguration, he hasn’t said whether he supports impeaching Trump, deflecting that decision to Congress instead. Biden's said he wants the incoming Congress to focus on his Cabinet nominations and pandemic relief from the onset, but an impeachment trial in the Senate risks preempting the rest of its business.

On Monday, Biden is slated to meet with transition and economic advisors and will publicly receive the second dose of the COVID-19 vaccine from Wilmington, Delaware, in the afternoon.

-ABC News Chief White House Correspondent, John Santucci and Katherine Faulders