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After a gutsy second-round win on Friday over good friend Paula Badosa the world No. 2 appeared to have little left in the tank physically, mentally or emotionally for a late night Stadium court battle with Ukrainian Kalinina.
The statement was the first mention since the tragedy that the couple had split.
Forward Koltsov played for the Belarus national team in the 2002 and 2010 Winter Olympics and spent parts of three seasons with the National Hockey League's Pittsburgh Penguins from 2002 and 2006.
Navarro, seeded 23rd, broke the hard-hitting Belarusian for a fourth time on match point to book a quarterfinal clash with ninth seed Maria Sakkari of Greece.
The Belarusian second seed is the first woman to retain the Melbourne Park title since compatriot Victoria Azarenka in 2013.
Sabelnka beat fourth seed Coco Gauff in a thriller on while Zheng got the better of Ukrainian qualifier Dayana Yastremska.
The top remaining seed after Saturday's early exit for world No. 1 Iga Swiatek, Sabalenka's biggest enemy has often been her own emotions but she continued to keep them strictly under control to reach the last eight without dropping a set.
Russian teenager Mirra Andreeva produced a thrilling comeback from 5-1 down in the third set to beat Frenchwoman Diane Parry 1-6, 6-1, 7-6(5).
World No. 2 and top seed Sabalenka came into the contest on a 15-match winning streak in Australia but was outplayed by former Wimbledon champion Rybakina.
Rajeev Ram and Joe Salisbury took the men's doubles award while Storm Hunter and Elise Mertens claimed the women's doubles title.