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Tunisia's Jabeur also made history as the first Arab and African woman to reach the Wimbledon final in July
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French Open champion Swiatek claimed a 6-3, 7-6 (7/4) win, her third against Pegula this year
The Russian 27th seed triumphed 7-5, 4-6, 7-5, 6-7 (3/7), 6-4 over the Wimbledon runner-up to make the last-four at a major for the first time
Williams's third-round loss to Australia's Ajla Tomljanovic happened at Arthur Ashe Stadium
It is the first time this year that the veteran has been beaten in a major
Four-time US champion Nadal, bidding for a 23rd Grand Slam title, lost 6-4, 4-6, 6-4, 6-3 to Tiafoe in the pre-quarterfinal
The fifth seed will face unseeded Australian Ajla Tomljanovic for a place in the semifinals
The Wimbledon runner-up triumphed 7-6 (13/11), 3-6, 6-3, 6-2 to reach his first quarterfinal in New York where he will face another Russian, Karen Khachanov
The Spaniard has now won 34 straight sets against Gasquet who he first played as a junior
The two-time Grand Slam winner won a thrilling three-set battle