Anderson will take on the victor of Milos Raonic and American John Isner.
"Down two sets to love I tried my best to keep fighting".
Roger Federer's skill set is practically unmatched when it comes to the tennis court. "I just kept telling myself this will be my day".
"It was crucial for him to stay in the match at the beginning of the second set and then it got tougher", said 20-time major victor Federer. You need that mindset against Roger. Those are the kind of circumstances that you just have to accept.' He also revealed: 'Post-match I heard that the organisers were planning to cancel my match if Monfils and Anderson went to a fifth. "Matches likes that are very special".
The 36-year-old Swiss, not playing on Centre Court for the first time since 2015, displayed his usual panache as he strolled through the opening two sets to stretch his streak of consecutive sets won at Wimbledon to 34.
Djokovic secured that game with a forehand victor, then saved two game points on Nishikori's serve before converting his first match point with a forehand down the line. "Knowing the four times they've played, Kevin hasn't got to him or seen any weaknesses from Federer, so that's a hurdle".
It was his first win against Federer at the fifth attempt and means he is the first player representing South Africa to reach the semifinal at the All England Club since Kevin Curren in 1983.
When Anderson broke in the second set it was the first time the Swiss had dropped serve at this Wimbledon.
"Well, it's going to happen anyway, if I'm going in the final or not, the Wimbledon final will take place, and so will the World Cup final", Federer said in a seemingly tongue-in-cheek response. "So it's an important moment", said Nadal, the 17-time Grand Slam champion who has made four successive quarter-finals at the majors for the first time in six years.
But Anderson was just getting started.
Federer had a match point at 5-4 in the third set, but Kevin Anderson-the 6-foot-8 ball smasher from South Africa-saved that break point and went on to win the set.
Federer was completely out of sorts by now and his uncharacteristic struggles on his forehand didn't improve in the fourth set.
Federer fell to 266-3 in career Grand Slam matches where he won the first two sets.