She will face American Venus Williams. In the other match, Rybarikova was leading 6-3, 2-2 when rain halted play.
Djokovic hopes to make the semifinals of a grand slam for the 11th time since 2014. However, Svetlana Kuznetsova wasn't so sure something nefarious wasn't going on in the stands with her quarterfinal opponent, Garbine Muguruza, and the Spaniard's coach.
Djokovic, however, has three titles at the Grand Slam to go along with his other nine Grand Slam singles wins. Federer produced a straightforward 6-4, 6-2, 7-6 (4) victory over Milos Raonic, the man who beat him in last year's semifinals.
Grimacing at times from pain in his right arm, Djokovic gritted through physical challenges and left-hander Adrian Mannarino, 6-2, 7-6 (5), 6-4, advancing to his 39th career Grand Slam quarterfinal.
Djokovic needed treatment on his elbow at the end of the first set and was already dealing with a long-term right shoulder problem. His groundstrokes have been looking rock solid over the fortnight, even after his shoulder appeared to be troubling him late in the Mannarino match.
Another leadership test for Pelosi, who's weathered many
House Democratic leaders are taking some comfort in coming in a close second for a seat that's always been firmly in GOP hands. It is certainly morale-sapping for Democrats who still have not figured out how to secure a win over Mr Trump.