Christie made an awkward joke about Biden sleeping with teacher’s unions (because he’s married to a teacher), and Pence decided it would be a good idea to remind everyone that he also is sleeping with a teacher (his wife). So, that just happened.
— Analysis by Leah Askarinam of 538

Pence has suggested a federal ban on gender transition-related healthcare for children. In a poll conducted by Marist College for NPR and PBS NewsHour in June, 52 percent of Republicans said only adults who are 18 and older should be able to receive gender transition-related healthcare. Nine percent said adults and children with the consent of their parents should be able to receive such care, and 37 percent said nobody, regardless of age, should be able to receive gender transition-related healthcare.
—Analysis by 538

DeSantis is dodging the facts.

The Florida Board of Education set new social studies standards for middle schoolers July 19.

In a section about the duties and trades performed by enslaved people, the state adopted a clarification that said "instruction includes how slaves developed skills which, in some instances, could be applied for their personal benefit."

Experts on Black history said that such language is factually misleading and offensive.

Marvin Dunn, a psychology professor emeritus at Florida International University, has authored several books on the history of African Americans.

"Most enslaved people had no special skills at all that benefited them following their enslavement," Dunn said. "For almost all their skill was picking cotton. An enslaved man who was made to be a blacksmith might have been a king had he not been captured and taken from his country. Is he supposed to be grateful? Enslavement prevented people from becoming who and what they might have been and that was slavery's greatest injury to humankind."

Bruce Levine, an emeritus professor of history at the University of Illinois and author of "Half Slave & Half Free: The Roots of Civil War," was one of several scholars of the period who told PolitiFact that they rejected the value of spotlighting "skills" learned while enslaved.

"Very simply, can you imagine saying this about ‘skills’ developed in Nazi forced-labor camps?"
-Analysis by Aaron Sharockman, PolitiFact

Several of the Republicans on stage touted their prioritization of border security should they win the presidency.

“What I’ll do on day one is sign an executive order to send the National Guard to partner with Customs and Border Patrol to make sure that we stop the flow of fentanyl over the border,” Christie said first. He expanded his answer to include his plans to fill the “6 million vacant jobs” in the country with legal immigrants.

“This border is going to be a day one issue for me as president,” DeSantis said, also noting that he’d administer the remain in Mexico policy, which requires migrants seeking asylum to remain in Mexico until their US immigration court date.

“We're going to declare a national emergency. Yes, we'll build the wall. We’ll do remain in Mexico,” DeSantis said.

Pence spoke about his role in negotiating the remain in Mexico policy of the Trump administration.

“I negotiated the remain in Mexico policy with the Mexican government. We used economic power to bring the Mexican government to the table. We build hundreds of miles of border wall and despite what's said here today, we reduced illegal immigration and asylum abuse by 90%. And as President of the United States, I can do it again,” he said. “I'm going to be ready on day one to get Congress to step up, secure the southern border of the United States.”

Haley cosigned on the Remain in Mexico Policy.

“Let's go back to Remain in Mexico policy,” she said. “Instead of catch and release. Let's go to catch and deport.”
Ramaswamy said that he was supportive of most of his opponents’ border positions, but that he’d go a step further: he’d end birthright citizenship for the kids of illegal immigrants.

“The Republicans on the stage are on the right side of this issue, militarize the southern border, stop funding sanctuary cities and end foreign aid to Mexico and Central America to end the incentives to come across,” Ramaswamy said.

--ABC News' Isabella Murray

Haley abruptly jumped in to hit Ramaswamy for his use of TikTok to appeal to voters, calling TikTok "one of the most dangerous social media apps," and saying she feels "dumber" every time she hears Ramaswamy talk. This moment, along with some others, revealed two things: First, Haley is on the more assertive side of the GOP foreign policy debate when it comes to dealing with China (a Chinese company owns TikTok), although Ramaswamy has said that he'd like to keep people under 16 from accessing social media. Second, she and the other Republicans on stage really don't like Ramaswamy. There've been a few other jabs at Ramaswamy tonight, but her line about feeling dumber was pretty telling.

— Analysis by Geoffrey Skelley of 538