On stage right now with the former president is Corey Comperatore's firefighter uniform, with his last name spelled as Comperatore -- missing the "a."

It appears his last name was always truncated on his jacket. The Buffalo Township Fire posted the jacket with the same spelling on its Facebook page four days ago.

-ABC News' Lalee Ibssa, Soorin Kim and Kelsey Walsh

Trump repeated his argument made during the presidential debate that undocumented immigrants were taking away jobs from Americans, particularly minority groups.

"Those who are being hurt by millions of people, being hurt, the Black population and Hispanic population," he said without any more details. "Because they are taking the jobs from our Black population and Hispanic population and taking them from unions. The unions are suffering from it," he said.

“We got credit for the war and defeating ISIS and so many things, the great economy, the biggest tax cuts ever, the biggest regulation cuts Ever the creation of Space Force, the rebuilding of our military. We did so much," Trump said.

We’ll get to the tax cuts in a second. Here we’ll focus on the claim about ISIS. Trump rightly gets credit for shrinking the territory ISIS controlled. But it’s wrong to say ISIS was or is defeated.

According to data from IHS Markit, a private defense and security research firm, the area controlled by the Islamic State went from 90,800 square kilometers in January 2015 to 6,759 square kilometers in January 2018. That’s a 93 percent reduction in territory.

But the success Trump claims was built upon strategy and attacks that were launched under President Barack Obama.

The campaign to defeat ISIS took shape in September 2014 under the name of Operation Inherent Resolve. According to U.S. Air Force Central Command data, coalition forces engaged the enemy over 33,000 times between the launch of the operation and November 2017. (The Air Force includes strikes taking place in August 2014.) Counting only sorties in which at least one weapon was released, about three-fourths of the action took place during the Obama years. The Air Force reports over 104,000 missiles, bombs and other explosives dropped in the course of the campaign. About two-thirds of that came before Trump took office.

Though ISIS no longer holds territory, it continues to operate and has worked to expand its global presence through affiliates in Africa, the Middle East, and Asia, according to the Congressional Research Service.

—PolitiFact’s Aaron Sharockman

The former president spent the first part of his speech delivering a dramatic retelling of his experience of being shot during an assassination attempt against him last weekend, an event that has loomed over the convention all week.

Though some polls show a growing share of Americans saying they’re OK with political violence, research shows those polls are likely overestimating that support. Polls with a lot of disengaged respondents (i.e., those who were not totally paying attention when taking a survey) are susceptible to overestimating support for violence, and vague questions that don’t specifically spell out what exactly is meant by “political violence” can also skew the results. I wrote more about that for 538 this week, showing that the vast majority of Americans reject political violence.

—538's Kaleigh Rogers