Republican Sen. Ted Cruz of Texas and his Democratic challenger, U.S. Rep. Beto O’Rourke of El Paso, lofted many factual claims at Southern Methodist University Friday in their first of three scheduled fall debates.

Their rat-a-tat exchanges folded in a few statements previously probed by PolitiFact Texas, the nonpartisan fact-checking project based at the Austin American-Statesman.

For starters, O’Rourke reminded the studio and TV audience that he’s stumped in each of the state’s 254 counties—a count he brought up five times in the 60-minute debate, Texas Monthly’s R.G. Ratcliffe tallied. PolitiFact hasn’t independently verified O’Rourke’s stops, but it went widelynoted by news organizations on June 9 when O’Rourke campaigned in Gainesville as his 254th county, Cooke County.

In the debate, Cruz responded to a question about his adamant opposition to legislation giving legal residency to "Dreamers," the children of unauthorized immigrants, by saying that O’Rourke has said he’s "open to abolishing" Immigration and Customs Enforcement, an idea embraced this summer by some Democrats upset by actions including the separation of children and parents at the U.S.-Mexico border.

That’s a Mostly True claim about O’Rourke, though O’Rourke also declared this July that he wouldn’t support ICE’s abolition without a plan to shift its responsibilities elsewhere. More recently, O’Rourke has said that abolition by itself doesn’t make sense.

Cruz also declared that O’Rourke "voted against allowing funds to go to body armor for sheriffs."

PolitiFact Texas recently rated False a similar claim by Texans Are, a super PAC backing Cruz’s re-election. In 2014, O’Rourke voted in favor of an unsuccessful proposal to bar the Defense Department from providing excess aircraft, tanks and military weaponry to local law agencies in general. That proposed restriction did not extend to body armor and made no mention of border sheriffs. Also, the DOD program in question hadn’t provided body armor to any local agencies since 2008.

After Cruz pressed O’Rourke on his criticism of police officers who shoot unarmed civilians, O’Rourke replied, in part, by saying the U.S. has "the largest prisoner population on the face of the planet."

PolitiFact in 2015 found Mostly True a claim by Bernie Sanders, the Vermont senator, that "we have more people in jail than any other country on Earth." According to the 2010 U.S. census, more than 2.2 million U.S. residents were living behind bars. Also, the U.S. had the world’s greatest incarceration rate. Otherwise, a British research center said that China ranked second worldwide with about 1.65 million prisoners though that figure was shaky by leaving out untold thousands of people housed in detention centers.

Cruz, responding in the debate, made mention of a fact-check of O’Rourke by the Fact Checker at The Washington Post. In August, the newspaper probed this O’Rourke statement: "Black men, unarmed, black teenagers, unarmed, and black children, unarmed, are being killed at a frightening level right now, including by members of law enforcement without accountability and without justice."

The Post concluded: "If you drill down and look at the data for unarmed black children killed by police, there is virtually no support for the idea that this happens at a frightening level." It also said, though, that the picture changes "if we zoom out and look at homicide deaths of blacks in general." Read its story here.

Cruz, who described O’Rourke as out of step with most Texans, called the Democrat the nation’s only Senate nominee to explicitly commit to voting for President Donald Trump’s impeachment, a process that would start in the House. PolitiFact Texas earlier found O’Rourke not to be the only Senate candidate in the land to call for Trump’s impeachment. Here’s how O’Rourke is both a yes and a no on impeaching Trump.

Cruz brought up a PolitiFact analysis in the debate when he accurately said that PolitiFact once deemed the lie of the year President Barack Obama’s claim that under the Obamacare law requiring most Americans to have health coverage, if you like your health care plan, you can keep your health care plan.

In 2013, PolitiFact called that Obama vow a promise "impossible to keep. So this fall, as cancellation letters were going out to approximately 4 million Americans, the public realized Obama’s breezy assurances were wrong."

Cruz also flash-backed to O’Rourke’s advocacy as a member of the El Paso City Council for language in a 2009 resolution urging national debate on legalizing narcotics. That’s correct. Cruz previously incorrectly said that O’Rourke went so far as to call for legalizing all narcotics. In the debate, O’Rourke said he doesn’t favor legalizing cocaine, heroin or fentanyl (though, as a reader has nudged, the latter drug isn’t illegal).

Seeking more debate context? The Dallas Morning News and Texas Tribune also posted stories on what the candidates got right and wrong.

What debate claim or claims did you hear that made you wonder?