Cole stripped the ball from Irving as the Cavaliers' guard was seeking a final shot with time was running out and the Heat hung on for their seventh straight win over Cleveland.
Cole finished with 16 points, 11 rebounds and nine assists as Miami -- which rested stars Dwyane Wade, LeBron James, Chris Bosh and Udonis Haslem -- finished its road schedule with an NBA-best 29-12 record.
Irving scored 16 points, as did Tristan Thompson and Dion Waiters, as the Cavs dropped their fifth in a row.
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