Alex Oxlade-Chamberlain kicked things off after just nine minutes but Leroy Sane’s equaliser ensured the teams went in at half time all square.
But three fantastic goals from the Reds second half ended City’s unbeaten Premier League run of 22 games.
Roberto Firminho put Liverpool back in front after muscling Stones off the ball before clipping the ball delicately over the on-rushing Ederson.
Sadio Mane’s bullet strike from outside the box added a third just two minutes later, before Mo Salah caught Ederson off his line to add the fourth from 40 yards.
Bernardo Silva and Ilkay Gundogan grabbed consolation goals for City to make foir a nervy finish but Liverpool held on for a deserved win.
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