Haley punched back at Ramaswamy after he compared her to former Vice President Dick Cheney "in three-inch heels."

"I'd first like to say: They're five-inch heels, and I don't wear them unless you can run in them. The second thing that I will say is: I wear heels -- they're not for a fashion statement, they're for ammunition."

-ABC News' Tal Axelrod

“We had Floridians that were over there after the attack,” DeSantis said. “He left them stranded they couldn't get flights out.”

That’s at odds with official State Department reports.

Reuters reported on Oct. 16 that the State Department had offered more than 4,000 seats on government-chartered transport to U.S. citizens and their immediate family. CNN put the figure higher, at nearly 5,000 seats. But both outlets reported that many of those transports left less than half full, the government said.

-Analysis by Aaron Sharockman of PolitiFact

Christie, asked why he should lead the party rather than Trump, largely focused on the global challenges the U.S. is facing, including the Israel-Gaza war and Russia's invasion of Ukraine.

"Tonight, we need to decide which president is going to be the one to tackle the big issues. Who's going to make this country look once again, not just inward, but look outward at the world and say, 'America is the country, the indispensable nation, that makes this a safer world'?" Christie said. "And in a safer world, American innovation, American hard work has always been the thing that has driven our country to greater things. I'm going to be the president who will do those big things."

On Trump, Christie said at the end of his answer, "Anybody who's gonna be spending the next year and a half of their life focusing on keeping themselves out of jail and courtrooms cannot lead this party." (Trump denies wrongdoing.)

-ABC News' Alexandra Hutzler

Ramaswamy took a swipe at the media, claiming that it was "corrupt" and had played up a "hoax" about Trump's relationship with Russia, an apparent reference to the Department of Justice's investigation of the Trump campaign's ties with Russian nationals. He even tried to ask the moderators to answer for this. Ramaswamy essentially took a page out of former House Speaker Newt Gingrich's 2012 debate approach. In the 2012 Republican primary, Gingrich regularly attacked the "elite media" during his debate appearances, and he ended up surging in the polls at two different points in the campaign, even managing to win the South Carolina and Georgia (his home state) primaries.

--Analysis by Geoffrey Skelley of 538

Christie told a story about being appointed U.S. attorney in New Jersey on Sept. 10, 2011, and how one of his first big assignments was working to stop potential hate crimes on Jewish and Muslim residents.

“We stopped any hate crimes that were going on, either against Jewish Americans in New Jersey or Muslim Americans in New Jersey, Christie said.

The Asbury Park Press ran the numbers in 2016. Hate crimes did, in fact, drop.

Total reported hate crimes in 2010 numbered 775, the newspaper reported. The total number of hate crimes then dropped each year through 2015 -- from 606, to 553, 459, 373 and, finally, 367 in 2015.

Religiously motivated hate crimes also trended downward until 2015. That year they increased nearly 10% in New Jersey.

-Analysis by Aaron Sharockman of PolitiFact