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Arsenal remained in fourth place after Gabriel's header secured a 2-1 win at West Ham in the Premier League.
Chelsea and West Ham had to come from behind to oust lower-league opposition in the FA Cup to reach the fifth round.
Fabinho, Alex Oxlade-Chamberlain and Takumi Minamino gave Liverpool a 3-0 Premier League win over Brentford.
Arsenal has failed to transfer its improved Premier League form to the FA Cup in losing 1-0 to second-tier Nottingham Forest in the second big shock of the third round.
Chelsea will play Tottenham in the League Cup semifinals and Arsenal will face Liverpool.
West Ham ended Liverpool’s 25-match unbeaten run in all competitions with a 3-2 victory that dislodged the team from third place in the Premier League.
West Ham ended Liverpool's 25-match unbeaten run in all competitions with a 3-2 victory that dislodged the team from third place in the Premier League.
West Ham has an unusual situation on its hands.
Jose Mourinho has lost a 10th match of the Premier League season with Tottenham.