MANCHESTER, England -- Pep Guardiola says that Manchester City 's 3-0 win over Liverpool is proof that they are ready to challenge for the Premier League title.

City moved to within four points of leaders Arsenal at the top of the table thanks to goals from Erling Haaland , Nico González and Jérémy Doku .

The result against Liverpool came 24 hours after Mikel Arteta's side drew 2-2 with Sunderland and Guardiola said afterwards it felt like a significant performance against the current champions.

"I think Liverpool and us said 'oh wow Arsenal dropped points finally and conceded two goals'," said Guardiola.

"But at the end we have to do it and I said to the players 'don't do it because yesterday Arsenal didn't win. Do it because we believe in ourselves that we can play

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