Nadal retired in the fifth set of his quarter-final match against Marin Cilic in the Australian Open because of a hip injury, ending his hopes of a 17th Grand Slam title.
Kyrgios has beaten the likes of Nadal, Federer and Djokovic in his career which adds credibility to Laver's claims.
Rod Laver believes there is one thing that separates Roger Federer apart from the likes of Rafael Nadal, Novak Djokovic, Andy Murray and the rest of the Tour.
Managing his schedule effectively will be key to sustain his current run of form, according to Roger Federer.
Pat Cash believes Australian Open champion Roger Federer has one more goal in tennis after winning his 20th Grand Slam.
Federer won his 20th title at the Australian Open, beasting Marin Cilic in an engrossing contest, which lasted five sets.
Federer was pegged back by Cilic twice and had to rely on all his experience to emerge victorious in five sets.
Federer will now face his opponent in last year's Wimbledon final Cilic on Sunday [28 January] after the Croat dumped out new British hope Kyle Edmund
With Andy Murray injured and Roger Federer and Rafael Nadal braced to dominate again; can Kyle Edmund take the tennis world by storm?
Nadal retired in the fifth set of his quarter-final match against Marin Cilic because of a hip injury, ending his hopes of a 17th Grand Slam title.
Marin Cilic has booked his place in the Australian Open final after beating Briton Kyle Edmund in straight sets.
Rafael Nadal is targetting a return from the hip injury that forced his Australian Open withdrawal at the Mexican Open next month.
Rafael Nadal lamented the number of injuries currently being suffered in tennis after a leg issue forced him to retire in the fifth set of his quarter-final tie with Marin Cilic.
Kyle Edmund reached his first Grand Slam semi-final after an upset win over Grigor Dimitrov in the Australian Open. He could potentially face world number one Rafael Nadal next.
There will be no record seventh Australian Open title for Novak Djokovic this year after the Serbian lost 7-6 (7-4) 7-5 7-6 (7-3) to Hyeon Chung of South Korea in Melbourne.
Nadal had not dropped a set till the game and was hoping to continue that form ahead of the second week but was thankful to hold on as the game neared completion.
Federer will take on Marton Fucsovics in the fourth round. The unseeded 25-year-old beat Argentine Nicolas Kicker 6-3 6-3 6-2 to earn his spot opposite the all-time great.
Rafael Nadal admits that sweltering conditions can become a "little bit dangerous for health" after temperatures hit 40C on day five of the Australian Open in Melbourne.
Roger Federer tried to have his second round match against Jan Lennard Struff moved to the evening to avoid the searing temperatures at the Australian Open.
Monfils was clearly feeling the conditions after winning the first set and struggled to get a foothold into the game as Djokovic came back to win the game 4-6 6-3 6-1 6-1.
Temperatures at the Australian Open have reached 40 Celsius (104 Fahrenheit) with reports of 69 degrees (156F) being measured on the court surface.
Novak Djokovic made his way into the third round of the Australian Open defeating Frenchman Gael Monfils in four sets 4-6 6-3 6-1 6-3.
World number one Rafael Nadal secured his place in the third round of the 2018 Australian Open on Wednesday thanks to a 6-3 6-4 7-6 (7-4) win over Argentina's Leonardo Mayer.
The nominees for the Laureus World Sports Awards are headlined by Roger Federer and Rafael Nadal, while there is a raft of British interest.
Roger Federer is worried he might not be able to repeat his "fairytale" 2017 triumph despite easing into the second round with a confident straight-sets win over Aljaz Bedene.
Roger Federer is currently defending his Australian Open crown in Melbourne and has no plans to retire from the game in the short-term.
The six-time Australian Open champion cut an emotional figure after the game, embracing the crowd for their support.
Rafael Nadal is refusing to contemplate retirement after coming through his opening match at the Australian Open without alarm.
Novak Djokovic's situation is akin to that of Roger Federer in 2017 when the Swiss ace also came back from a lengthy spell on the sidelines.
Roger Federer had an extremely successful 2017 campaign following the same schedule, going on to win seven titles, including the Australian Open and Wimbledon.