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Arsenal goalkeeper Petr Cech says the Gunners are building momentum after his man-of-the-match performance helped Unai Emery's side see off Everton for a fourth successive Premier League win.
Two goals in three second-half minutes gave the hosts victory and took them up to sixth in the Premier League table.
Following a tight first half, in which Dominic Calvert-Lewin squandered a fine second-minute opening for Everton, the Gunners asserted control after the break.
Alexandre Lacazette swept a curling shot into the top corner from the edge of the area after Aaron Ramsey's pass.
Shortly after, Pierre-Emerick Aubameyang poked in from close range after Mesut Ozil broke down the right, cut the ball back and Ramsey nudged it into the path of the Gabon international.
Replays suggested that Aubameyang was offside from Ramsey's touch, though Everton could have few complaints from that point with Marco Silva's side looking vulnerable on the break as they attempted to find a response.
Arsenal had opened the season with defeats against Manchester City and Chelsea and Cech told BBC Sport: "We had two difficult games to start with, and having lost both you need to find a way to pick yourself up, but now we have four wins in a row which is creating a momentum, and I think it helped us to get through the game."
"Everton created a lot of chances in the first half and we had to stick together and wait for our opportunity to score, which made the difference."
Everton had looked the more likely to score for 56 minutes at the Emirates, until Lacazette rifled in a superb opener.
Two minutes and 57 seconds later, the visitors were two goals down.
The Gunners had managed just one shot on target in the first half, with Jordan Pickford making a smart save from Nacho Monreal, but their superior quality in attack showed after the break as the club's two most expensive signings quickly put the game beyond the Toffees.
Aubameyang appeared to be offside for the second, but Ozil was given time and space to pick out Ramsey in the build-up as a shell-shocked Everton left young full-back Jonjoe Kenny to deal with a three-on-one situation in their own area.
Aubameyang and Lacazette are forming a potent partnership for Unai Emery's side, both scoring in three of the past five Premier League games they have started together, while only Liverpool's Mohamed Salah, with 16, has scored more than the Gabon striker's 12 league goals since his Gunners debut in February.
Emery may have been more satisfied with proceedings at the other end as Arsenal kept their first clean sheet of his tenure, although goalkeeper Cech was largely to thank for that.
Arsenal goalkeeper Petr Cech made six saves, including this one from Richarlison
Everton had their own record signing back in the side with Richarlison returning from a three-game ban for a red card in the 2-2 draw at Bournemouth last month.
The Brazilian scored three times in his first two appearances for the Toffees before that misdemeanour, and Silva's side have missed the former Watford man's direct attacking approach.
The 21-year-old made his international debut and scored twice for his country during his absence from club football, and looked sharp as he forced Cech into a number of saves, as well as curling narrowly wide in the first half.
But it was the veteran stopper who came out on top, tipping a left-footed Richarlison effort over the bar, thwarting former team-mate Theo Walcott and also parrying a Michael Keane header wide, as the Toffees' woeful run at Arsenal continued.
"I had a lot to do today and I had to help the team stay in the game, and as an experienced player, you have to do your part," Cech told BBC Sport afterwards.
Everton have not won away against the Gunners since 1996, but more worrying for boss Silva is the fact they have only picked up one win this season.
There were positives to take for the visitors, but they remain 12th in the table with six points from their opening six games.
Petr Cech came to Arsenal's rescue in the opening moments as he saved from Dominic Calvert-Lewin and the 36-year-old made a string of stops to keep a first clean sheet of the season. He edged out team-mate Lucas Torreira, who impressed on his first Premier League start, as the hosts' best player.
Arsenal manager Unai Emery: "We are happy because we wanted to win for our supporters, to continue improving, and the three points are very important. We didn't control the match like we wanted to in the first half, but our goalkeeper had a good performance to keep us in it.
"We controlled the match better in the second half and didn't concede the chances we did in the first period. We finished the match with a smile on our face. We said we need a bit more at the break and the goal for Alex Lacazette is a good confidence-booster."
Everton boss Marco Silva: "The result didn't reflect the match. During the match we had four or five chances to score. Our team came to play and press high, but their goalkeeper is the best player on the pitch, and I think it reflects our performance.
"The result is disappointing for us. They had one chance and scored, and we created a lot of chances but didn't score.
"It is a clear offside for their second goal and it is a decision at an important stage, because at 1-0, we would have kept creating problems for them. I understand the job is difficult."
Arsenal host Brentford in the Carabao Cup third round on Wednesday (kick-off 19:45 BST), before welcoming Watford to the Emirates on Saturday.
Everton are back in action next Saturday when they host Fulham in the Premier League (15:00 BST).
