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In the bottom quarter of the women's draw, 12th seed Belinda Bencic continued her smooth run with a 6-2, 7-5 win over Camila Giorgi.
It will be her second straight US Open semifinal after a convincing 6-1 7-6(4) win over the Czech star.
The 26-year-old Jeanjean is a former big hope of French tennis who ended up living on minimum wage after a knee injury suffered when she was 15 kept her off the courts for two years.
Karolina Pliskova missed the cut despite her comeback victory over Barbora Krejcikova.
It was Kontaveit's first win in four meetings with Pliskova.
Giorgi bagged the biggest title of her career with a 6-3, 7-5 win over No. 4 seed Pliskova in 1 hour and 40 minutes.
World No. 1 Barty became the first Australian woman to win the Wimbledon singles title for 41 years when she defeated Czech Karolina Pliskova 6-3, 6-7(4), 6-3.
The Czech downed little-known Swiss Viktorija Golubic in straight sets.
Karolina Pliskova became the first woman to advance to the last four of the tournament.
Former French Open champion Jelena Ostapenko ousted second seed Karolina Pliskova 6-4, 6-2 in the second round.
Results 1-10 of 15
