It's probably a safe bet that if Obama says something that doesn't ring true, it probably isn't true, especially if there's a election to influence.
So here's another Obama lie that eventually became obvious but took a while to unearth. The source is a Wall Street Journal article that's behind a paywall. But the gist of it can be found at the Weekly Standard and Fox News.
Fox news has a nice summary at Sources: bin Laden docs conflict with Obama's talk of Al Qaeda demise.
The Weekly Standard has some significant excerpts at Top Intel Official: Al Qaeda Had Doubled When Obama Claimed It Had Been Decimated.
The titles say it all, but click the hyperlinks to get the details. In any event, Obama's statements, while presented as truth, lacked validity.