A long pass into Richarlison should have been easy for Bellerin to subdue, but he allowed the Brazilian forward to turn away from him far too easily, and it took a good save from Petr Cech to spare his team-mate's blushes.
Everton made an excellent start to the game and should have gone ahead inside two minutes.
Arsenal had survived a scare in the opening couple of minutes when Dominic Calvert-Lewin, found by Tom Davies, was unable to round Petr Cech with Richarlison waiting in the middle.
The Gunners went close to breaking the deadlock after 11 minutes but Jordan Pickford produced a fine save to deny Nacho Monreal from 10-yards out.
Lucas Digne was next to force Cech into action as his free-kick was tipped over the crossbar after Sokratis Papastathopoulos was booked for fouling former Arsenal winger Theo Walcott on the edge of the box. Gabon striker Pierre-Emerick Aubameyang scored a brace, following which Danny Welbeck and Mesut Ozil added two more to the tally.
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Everton will head to Arsenal looking to take some points from the game, and Emery has warned his players that they can ill afford to underestimate the threat posed by the visitors.
Former Arsenal man Theo Walcott was also guilty of squandering a good chance for the visitors, failing to get enough on his attempted chip over Cech when racing in behind, and Everton were so almost punished in the closing stages of the first half. Lacazette ghosted into a hole behind Jonjoe Kenny on the left side of the penalty area from hosts' perspective and curled an unstoppable shot in off the far post. Here are five things we learned from the 2-0 victory.
That was effectively the knockout blow for Silva's men. "I'm sure that in the coming seasons Arsenal will be making that step up in quality which will hopefully enable them to be on a level playing field and able to fight for the title and other big trophies". Or the one after that.
"They didn't win that important match [against West Ham] but maybe this is why they can be more risky to us because they come here and need to show their supporters that they are better than the last match". And someone who can score a goal now and then.
The Gunners worked a three-on-one situation and, after a slip from Ramsey looked to have killed off the promising move, the Welshman managed to flick the ball through for Aubameyang to tuck home.