Story highlights CNN fact-checked the first presidential debate

Hempstead, New York (CNN) Donald Trump's tenuous relationship with the truth didn't stop at the doors of the first presidential debate of 2016.

The Republican nominee repeatedly tussled with Hillary Clinton over his own past statements, his tax returns and even the murder rate in New York City.

But Trump also stubbornly stood by two lies that he's stood by in recent weeks and was bound to be asked about at the debate.

In a lengthy exchange with moderator Lester Holt, Trump repeatedly insisted -- falsely -- that he opposed the Iraq War. And he continued to claim that Clinton was involved in spreading the "birther" conspiracy theory that shot him to political prominence.

While Trump made several brazenly false claims in just 90 minutes onstage, Clinton stuck to the facts.