Liverpool enjoyed a perfect day as they came from behind to beat Brighton and Hove Albion 2-1 and Premier League title rivals Manchester City and Arsenal both suffered defeats on Saturday.
Mohamed Salah secured the points for Liverpool at Anfield to put Arne Slot's side two points clear of injury-hit champions City who lost in the league for the first time in 11 months, going down to a shock 2-1 defeat at Bournemouth.
Arsenal lost 1-0 at Newcastle United, meaning Mikel Arteta's side have managed only one point from their last three games.
Nottingham Forest's dream start to the season continued as they crushed West Ham United 3-0 to move into third place.
Liverpool have 25 points from 10 games with City on 23 while Forest have 19. Arsenal are fourth with 18 points although could slip out of the top four if fifth-placed Aston Villa avoid defeat at Tottenham Hotspur on Sunday.
Slot has enjoyed the best start by any new Liverpool manager since replacing Juergen Klopp and Saturday's victory was his side's 13th in 15 matches in all competitions.
While the defeats for City and Arsenal were a bonus, the Dutchman said he was only concerned with his own side.
"Not because of those results but it feels special because we faced Arsenal last week who are a very tough team," he said.
"Today we faced the same quality and idea about football and both times we had to come from behind to get a result. That is what makes my day, not so much the results from other games."
Liverpool fell behind after 14 minutes against Brighton with Turkey international Ferdi Kadioglu rifling in a stunning effort as the visitors seized control.
Slot's side were struggling to get back on level terms but got a break when Cody Gakpo's 69th-minute cross went straight into the net to lift the mood.
Three minutes later Salah curled home a stunning effort from the right side of the penalty area and that proved enough.
"The second goal was a Mo Salah special," Slot said.
City boss Pep Guardiola had lamented his side's injury list in the build-up to their game at Bournemouth and his side were without John Stones and Ruben Dias as well as several others as their club record 32-game unbeaten Premier League run ended.
"We couldn't match up to the intensity," Guardiola said.
