In the days since President Trump gave the world a graphic account of Abu Bakr al-Baghdadi’s last minutes, no evidence has emerged to confirm it. The secretary of defense, the chairman of the Joint Chiefs of Staff and the regional commander who oversaw the operation that killed the leader of the Islamic State all say they have no idea what the president was talking about.

Four other Defense Department officials, speaking on condition of anonymity because they were not authorized to share details of the raid, said they had seen no after-action reports, situation reports or other communications that support Mr. Trump’s claim. Nor did they have any indication that Mr. Trump spoke with any of the Delta Force commandos or ground commanders in the hours between the Saturday night raid and his Sunday morning televised announcement.

One American official who was deeply familiar with the operation dismissed the president’s version of events as mere grandstanding. Another senior official briefed extensively on the mission said, “I don’t know how he would know that. It sounds like something he made up.” The surveillance drone video Mr. Trump watched in the Situation Room had no live audio.