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Enzo Fernandez a bizarre Jarell Quansah own goal, and a late Cole Palmer penalty sealed a 3-1 win.
Liverpool appeared to have taken the foot off the gas on a rare off-day for Arne Slot's players.
Chelsea tick better with Lavia in midfield.
Enzo Fernandez - 7
Fernandez's excellent finish in the first half set Chelsea on their way.
Two frustrating lapses of concentration in the first half prevented Chelsea from going further ahead.
Jadon Sancho (for Jackson '72) - 6
Sancho skewed a late chance.
Malo Gusto (for Lavia '78) - N/A
Reece James (for Fernandez '88) - N/A
Liverpool player ratings
Alisson - 5
Alisson's hesitation in the first half nearly earned him a red card in the first half after he brought down Jackson outside the penalty area.
On just his third Premier League start of the campaign, Quansah looked nervy next to Van Dijk and deflected his defensive partner's clearance into his own net.
The late penalty he conceded will have proven to Slot that he was right to dump Quansah for Ibrahima Konate midway through the first game of the season.
Virgil van Dijk - 4
Van Dijk's late header does not render this any better a performance.
That showed in the first half, with some loose passes going astray.
Cody Gakpo - 4
Gakpo was largely anonymous in the first half.
Diogo Jota - 4
It's remarkable amid the narrative around Arsenal's centre-forward struggles that Liverpool have steamrolled the Premier League without one either.
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