The chief didn't need the Librarian's gift to kill the Didact. He used a nuke to kill the Didact. (Also, by the way, there is speculation that the Didact may not even be dead, as he voices over the end cutscene of the game.) He needed the Librarian's gift no not be composed. I'm not sure you're paying attention to what's being said.
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I am now, thanx for the refresher, been a year since i saw the cutscenes thank you for this last post ya put up.