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Just to clarify, because I'm tired and didn't...France reported at the time of what we were told of Bin Ladin's death as a capture...as quoted here:

Bin Laden's capture: The United States claims to have

In Abbottabad, the Pakistani city in which Osama bin Laden was captured, calm had returned on Tuesday morning. The storm is elsewhere, around the operation that led to this arrest. Two days after the raid, Washington continues to claim to have acted alone and would not have warned the Pakistani state of this secret operation whose primary objective was to capture and not eliminate Osama bin Laden.

Which perfectly explains POTUS emphasis on Al-Baghdadi, and Rudy tweet Ben Laden.  

French video posted above.