TRUMP'S CLAIM: "We have a vaccine that's coming. It's ready. It's going to be announced within weeks. And it's going to be delivered." ... "Johnson & Johnson is doing very well. Moderna is doing very well. Pfizer is doing very well. And we have numerous others."

FACT CHECK: A COVID-19 vaccine isn't ready right now. But it is true that two companies -- Pfizer and Moderna -- could seek emergency use authorization in November or December.

Like Pfizer and Moderna, Johnson & Johnson's vaccine is also in late-stage studies, but Johnson & Johnson paused its trial earlier this month to investigate an unexplained illness.

As the chief adviser to the government vaccine distribution initiative Operation Warp Speed, Dr. Moncef Slaoui told ABC’s Bob Woodruff this week that if a vaccine is authorized before the end of the year approximately 20 million to 40 million doses of it will be stockpiled and ready for distribution for a limited population. At first, only high priority Americans, like those over 65, will have access, but by the springtime more Americans should have access.

Slaoui said that vaccine trials are going as fast as it’s safe to go, pledging to resign if he felt undue pressure from the White House. Slaoui said that by June 2021, it's possible "everybody" in the United States could have been immunized.

-ABC News' Sony Salzman and Sasha Pezenik

TRUMP'S CLAIM: “Joe, you have raised a lot of money, tremendous amounts of money and every time you raise money, deals are made, Joe. I could raise so much more money as president and as somebody that knows most of those people. I could call the heads of Wall Street, the heads of every company in America. I would blow away every record, but I don't want to do that because it puts me in a bad position.”

FACT CHECK: Trump targeted Biden for raising money for his campaign by claiming he could raise more but would be put in a “bad position” because he would owe donors something in return.

However, Trump himself regularly holds private, high-dollar fundraisers raking in millions of dollars and has raised over $1.5 billion so far this election cycle.

Just a week ago, the president attended a closed-door fundraiser at the home of Nicole and Palmer Luckey, an entrepreneur -- where tickets ranged from $2,800 up to $100,000 per person.

-ABC News' Will Steakin

The last question of the night was on leadership and what Trump and Biden would say to the people who didn't vote for them on Inauguration Day.

Trump said that we would have to make the country "totally successful," and touted low unemployment numbers among all Americans before the pandemic.

"Success is going to bring us together. We are on the road to success," the president said. "But I'm cutting taxes, and he wants to raise everybody's taxes, and he wants to put new regulations on everything. He will kill it. If he gets in, you will have a depression the likes of which you've never seen. Your 401(k)'s will go to hell, and it'll be a very, very sad day for this country."

Biden started his answer by saying that as an American president he would represent all Americans. 
"Whether you voted for me or against me, and I'm going to make sure you're represented. I'm going to give you hope," he said.

"We're going to move," Biden added. "We're going to choose science over fiction. We're going to choose hope over fear. We're going to choose to move forward, because we have enormous opportunities -- enormous opportunities to make things better."

TRUMP'S CLAIM: "Through John, who is -- John Ratcliffe, who is fantastic, DNI. He said the one thing that's common to both of them (Russia and Iran), they both want you to lose because there has been nobody tougher to Russia with -- between the sanctions. Nobody tougher than me on Russia."

FACT CHECK: While it is unclear whether Trump's director of national intelligence, John Ratcliffe, told him personally that Russia hopes he would lose the upcoming election, such a statement would contradict what the U.S. intelligence committee has determined.

In August, the Office of the Director of National Intelligence assessed "that Russia is using a range of measures to primarily denigrate former Vice President Biden and what it sees as an anti-Russia 'establishment.'” The office has never stated publicly that Russia hopes Biden will lose the upcoming election.

As for Iran, the office said it determined the country in its interference efforts "seeks to undermine U.S. democratic institutions, Trump, and to divide the country in advance of the 2020 elections."

Ratcliffe in a Wednesday evening news conference revealed both Iran and Russia recently obtained voter registration data in their efforts to interfere in the 2020 election, and that Iran was separately behind "a series of threatening emails that were found to be sent this week to Democratic voters," which he said was "designed to intimidate voters, incite social unrest and damage President Trump."

But Democratic leaders have argued Ratcliffe may have inflated Iran's motivations relating to Trump and instead the country was seeking more broadly to sow chaos in the U.S. democratic process.

U.S. officials have also characterized to ABC News that Russia’s interference efforts both in 2016 and 2020 far exceed that of Iran’s in both scope and complexity.

-ABC News' Alexander Mallin

TRUMP'S CLAIM: "The children are brought here by coyotes and lots of bad people, cartels, and they're brought here and they used to use them to get into our country." // "They built cages. You know, they used to say I built the cages." // "They are so well taken care of. They are in facilities that are so clean."

FACT CHECK: Trump was defending his now-defunct policy known as "zero tolerance" that required every adult who crossed the border illegally -- even those traveling with their children -- be detained in a bid to deter border crossings.

The result was that thousands of children were separated from their parents in a matter of weeks. It was a major departure from past U.S. policy. In the Barack Obama and George W. Bush administrations, families were separated in rare instances, such as cases of serious crimes like drug trafficking. 

Critics of Trump's policy questioned the conditions the kids were kept in initially at border stations after several died of the flu.

An internal investigation later found that the administration struggled to keep track of the parents, many of whom had been deported. The White House says the parents were contacted and abandoned the children, who were placed with U.S. sponsors, usually family members. The American Civil Liberties Union countered that parents have not been found and contacted and therefore could not give up rights to their children.

Homeland security officials have said that "coyotes" are often used to transport the families for a fee. But there has not been widespread evidence of cases of people falsely presenting themselves as related, with border patrol documenting them as "family units."

Trump's suggestion that "cages" were built by the Obama administration is correct. Obama had faced an influx of children both traveling alone and with families as a result of violence in Central America. And at one point, the Obama administration tried housing the families in special detention centers.

But after a federal judge in California ruled that the arrangement violated a long-standing agreement barring kids from jail-like settings for extended periods, even with their parents, the government began releasing families into the U.S. pending notification of their next court date.

In 2018, photos taken by The Associated Press and posted online by liberal activists suggested the children in steel fencing was Trump's doing. The photos were actually from 2014 when immigration detentions became flooded with families.

-ABC News' Anne Flaherty