Rybarikova, at No. 87 the lowest ranked Wimbledon semifinalist since 2008, will next face Garbine Muguruza on Thursday in the semifinals.
And he showed the tenacity that may be required to take the next step into the final as he beat Rafael Nadal's conqueror Muller 3-6 7-6 (8/6) 7-5 5-7 6-1 on Court One. "I just don't see any reason why not (at Wimbledon)", Djokovic said.
Centre Court has a roof, but No. 1 Court does not. I'm so happy to be through.
"He was one of the very few players and athletes that have been successful and during their active career studied, as well, studied law, which is not an easy thing to study". Maybe you don't want players to feel that way, because the moment you become scared of moving properly, it's really hard to play.
"It's like going to work, you can't produce the best every single day but you have to make sure your average is as high as possible".
He has reached seven grand slam semi-finals - second only to Ivan Lendl among Czech men.
Novak Djokovic said a right elbow injury was to blame for his retirement from Wednesday's Wimbledon quarter-final against Tomas Berdych.
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"It's my elbow. It's been bothering me for a year and a half".
Müller, in his first slam quarter-final, began in superb style, breaking Cilic in the seventh game thanks to a stunning forehand and broke again two games later to take the set, the first the Croatian had dropped in the tournament.
"I started feeling it at the beginning of the tournament".
"The intensity and the level of pain was not decreasing. All the treatments and medicaments couldn't really help".
"It was a friendly talk between Mario and I. First of all, I spoke to Andre and he absolutely agreed with Mario being that second person who might potentially be spending a little bit more time with me on the road".
The decision to postpone Novak Djokovic's last-16 match against Adrian Mannarino was made on safety grounds, Wimbledon has announced.
"I haven't had that kind of experience before in Wimbledon, to be honest".
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Mannarino said: "I mean, I was a little bit - to me, it was quite unusual in the beginning of the match, because I felt like I was running in a different way".
"But I tried. I tried what I could do from yesterday to get it in the condition where I'm able to play".
An ace brought up Federer's first match point and that was all he needed as a predictable victory was confirmed on the most unpredictable of days. For an athlete in an individual sport, there is no way out when you are injured. I asked him if he would like to spend time with Andre and I during Wimbledon, while you're there, if you have time. Wade was also the last British woman to win the title a year earlier.
Sam Querrey has forced a fifth set against Andy Murray in the Wimbledon quarterfinals.
But if that should have served as extra motivation for Djokovic, there were immediate signs that his fitness was a problem when a sloppy tie-break cost him the first set.
The third set was the closest of the three and, after an hour and 10 minutes, Raonic earned his first break point.
But Berdych seized the chance to add to Djokovic's woes with a break in the second game of the second set.
Federer into Wimbledon semi-finals
Defending champion Andy Murray is playing Sam Querrey on Centre Court, and Gilles Muller is facing Marin Cilic on No. 1 Court. I got a little sad, I must admit, because I felt like it was a great record for me to keep going.