#3 – DRACULE MIHAWK
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Having lost one rival in Shanks, Mihawk now shares a rivalry with Zoro, and is prepared to wait as long as it takes for Zoro to become strong enough to beat him. To this end, Mihawk watches Zoro’s progression and is delighted when Zoro gains his first bounty.
After the Battle of Marineford, Zoro is willing to put aside his pride and begged Mihawk to train him in order to become stronger for his crew. Mihawk tells Zoro to go, because he believes that such an idea is foolish and he assumes that Zoro is simply incapable of defeating the baboons. However, Zoro had already defeated the baboons, and wanted Mihawk to train him so that he may one day defeat Mihawk himself. He notices that Zoro is putting his pride aside all for the sake of his captain. Mihawk gives in and tells Perona to heal Zoro so they can begin his training, which takes place during the next two years.
During the Dressrosa Arc, it is revealed that Mihawk taught Zoro how to imbue his swords with Haki.