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The Blues slipped a further place down the Premier League table thanks to Southampton’s 1-0 win over Liverpool.
Manchester United are joint-leaders and have played a game less than Liverpool.
Southampton striker Danny Ings scored the winner with just two minutes on the clock to inflict the damage on his old side.
And the result lifted Saints up to sixth, four points off the top, leapfrogging Chelsea in the process.
The Blues are now ninth on the table, seven points behind leaders Liverpool and three points behind fourth placed Tottenham Hotspur who have played a game less.
Arsenal are now just three points behind Chelsea after 3 consecutive victories in the Premier League.