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WASHINGTON (AP) — Republican Donald Trump repeated a bevy of previous misstatements in a forum on national security issues, while his Democratic presidential rival Hillary Clinton continued to gloss over her lax treatment of classified information when she used a private email system as secretary of state. A look at some missteps in the candidates' back-to-back appearances Wednesday night: ___ TRUMP: "And right now, we are not strong. Believe me, we have a depleted military. We have the greatest people in the world in our military. But it is very sadly depleted." THE FACTS: The U.S. military, by far the world's largest and most powerful, is by no means depleted. One measure of its force - the number of active-duty personnel - routinely grows and shrinks along with the nation's adjudged defense needs. For example, the size of the U.S. Army swelled to about 570,000 at the peak of the Iraq war, building up to meet deployment demands. After the U.S. pulled out of Iraq and began drawing down in Afghanistan, a decision was made to reduce ranks to 490,000 over 10 years as Congress cut the defense budget by about half a trillion dollars. While senior military service leaders will say they could always use more forces, they say that adding more troops without providing the budget to support them and ensure they are ready to fight would only make things worse. ___ TRUMP: "I happen to hear Hillary Clinton say that I was not against the war in Iraq. I was totally against the war in Iraq." THE FACTS: That statement is contradicted by an interview Trump did with Howard Stern in September 2002. He said then that he supported the invasion: "Yeah, I guess so." ___ TRUMP: Asked about the problem of sexual assault within the military, said, "We have to come down very, very hard on that. ... And the best thing we can do is set up a court system within the military. Right now, the court system practically doesn't exist." THE FACTS: The U.S. military already has an extensive justice system, one with roots in the U.S. Constitution. The individual branches of the military have their own police and investigative and prosecution services, and they enforce a set of laws known as the Uniform Code of Military Justice. Critics argue the military's justice system has poorly served victims of sexual assault, but it's not correct to say, as Trump did, that "nobody gets prosecuted." ___ CLINTON: "Classified material has a header which says, 'Top Secret,' 'Secret,' 'Confidential.' Nothing, and I will, I will repeat this, and this is verified in the reports by the Department of Justice, none of the emails sent or received by me had such a header." THE FACTS: While Clinton is correct that none of the emails she sent or received contained headers indicating that information in them had been properly classified, that doesn't absolve government employees under U.S. law from protecting information they know or should know was classified. "Even if information is not marked classified in an email, participants who know, or should know, that the subject matter is classified are still obligated to protect it," FBI Director James Comey said on July 5, when he announced that the FBI was recommending against filing criminal charges after its investigation. Comey said at least three emails included "(C)" markings showing that information within them was considered confidential classified information. Clinton told FBI agents that she did not know what those markings meant, according to notes the FBI released Sept. 2. ___ TRUMP: "I mean, we've been badly hurt by Mexico, both on the border and with taking all of our jobs or a big percent of, of our jobs." THE FACTS: Trump exaggerates. The Congressional Research Service, echoing the views of many economists, concluded in a report last year that the 1994 North American Free Trade Agreement, which opened trade with Mexico and Canada, had a "relatively small" impact on the U.S. economy. It's true that the U.S. has lost nearly 7 million factory jobs since manufacturing employment peaked in 1979. But economists widely believe that technology likely played a bigger role in job destruction. Machines allow companies to produce more with fewer workers. General Motors, for instance, employed 600,000 people in the 1960s. It has 215,000 employees now, yet makes more cars than ever. To the extent that trade is to blame for job losses, the more likely culprit is China. American factories recorded rising job losses after China joined the World Trade Organization in 2001 and got easier to access to foreign markets. ___ TRUMP: Portraying President Barack Obama as on poor terms with foreign leaders and arguing that he'd do much better, said, "I think it's very sad when he lands in Saudi Arabia and he - he lands in Cuba and there aren't high officials to even greet him. This is the first time in the history - the storied history of Air Force One." THE FACTS: Far from "the first time in history," it is routine for presidents to be greeted by a protocol chief or other low-level government official when arriving for foreign visits. Airport arrivals aren't seen as a big deal, and it's not expected that top leaders of the arrival country will be there. ___ Associated Press writers Paul Wiseman, Terence Hunt and Ted Bridis contributed to this story.

AP FACT CHECK: Multiple missteps mark Trump, Clinton forum