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The 37-year-old Ukrainian is the first boxer to hold all four major heavyweight belts at the same time and the first undisputed champ since the end of Lennox Lewis' reign in April, 2000.
Fury made the announcement, two days after insisting he would make a comeback to the sport to complete a trilogy against fellow-Briton Derek Chisora
Tyson Fury emerged unscathed from a turbulent fight week to cement his place among the greats of heavyweight boxing with a stunning TKO win over Dillian Whyte.
Fury will likely now look to take on Ukraine's Oleksandr Usyk, who holds the other three titles, for a chance to become the first undisputed heavyweight champion since Lennox Lewis 21 years ago.
World heavyweight champion Anthony Joshua produced a devastating finish to knock out Bulgarian Kubrat Pulev near the end of the ninth round.
Fury claimed the WBC title in Las Vegas on Saturday with a seventh-round stoppage of Wilder, who fought the Briton to a split-decision draw in their first meeting in December, 2018.
Wilder said a miscalculation with his ring-walk costume proved costly in the first defeat of his career.