I did not see Arsenal successfully defeated Man City with that score and maybe you were wrong to see. The last time the two met in the English League Arsenal won the match with 1-0 at their own home and at the Community Shield Cup they drew. This season both of them only met twice so that Man City was still enough to be favored to win the match. Of course the match will change where the two coaches will study the strategies with each other, both Arsenal and Man City need a victory in the match because they will open the way to win the league.
In all cases Man City is far more favored to come out as champions, because they are far more potential to win matches at home, Arteta has the opportunity to hold Pep Guardiola's draw but the opportunity is still quite small. Now the condition of Man City players is almost fully fit so that their strength will be much stronger, different like matches that take place at home to Arsenal because Man City is not strengthened by creative midfielders like De Bruyne.
In the upcoming match, Arsenal will visit the Etihad stadium and if we look at their match history, we can see that it is very difficult for Arsenal to beat Manchester City at the Etihad stadium. Even though in the first meeting this season Arsenal managed to beat Manchester City with a score of 1-0, in the second meeting I think Manchester City will be the favorite to win it. These two teams are competing in the standings and their meeting will probably be fiercer than their first meeting this season.
I think if Manchester City manages to beat Arsenal then Arsenal has no chance of competing for the title this season. For this reason, Arteta does not want to repeat his mistakes this season, so this season they want to target the title, so the match between the two will probably be quite tough because they are both aiming for victory. On the other hand, Liverpool must also focus on their target of becoming champions, and Liverpool can take advantage of the final results of their two competitors as motivation for them to get 3 points when facing Brighton.