The 35-year-old Spaniard advanced to the Australian Open final for a sixth time with a 6-3, 6-2, 3-6, 6-3 win over seventh-seeded Matteo Berrettini.
It was Novak Djokovic's sixth Wimbledon title and 20th at a major tournament, putting him tied for first on the all-time list with Roger Federer and Rafael Nadal.
US Open runner-up Medvedev, chasing his fourth ATP Tour title in a breakthrough 2019 season, will meet Germany's Alexander Zverev in Sunday's final.
Spain's Rafael Nadal will play for his 19th Grand Slam title, one shy of Roger Federer's all-time men's record, against No. 5 seed Daniil Medvedev of Russia on Sunday.
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