Liverpool extended their lead at the top of the Premier League to nine points and heaped more misery on fading champions Manchester City with a fully deserved victory at Anfield.
Arne Slot's pace-setters, fresh from beating Champions League holders Real Madrid, were in rampant mood and subjected City to a relentless barrage from the kick-off.
Liverpool were not flattered by the margin of victory, which leaves them 11 points clear of City, who not won for seven matches - losing their past four league games.
Virgil van Dijk had headed against the post - while City keeper Stefan Ortega, in for the dropped Ederson, had already been in constant action - before Liverpool went ahead after 12 minutes.