You can't be serious enough to think Arsenal won that game with luck. They played so well to deserve the win, irrespective of the challenges of injured players before them. Tottenham was not that tough to me in the game because if they were they would have scored with the chances they had. If it were Manchester City that had those opportunities, they would make good use of it. Although Tottenham played a good game that day, only Arsenals defended so strongly.
One exciting thing about the current Arsenal squad right now is that even if they have attacking players or midfielders who are injured. Arteta can rely on the defenders to score and maintain the win till the end of the game.
Arsenal played well especially for defensive problems but indeed the target from the start was only not to lose this match and I think that was proven where Arteta was quite passive by emphasizing defensive strategies in this match rather than their usual offensive schemes.
It was based because they realized there were several players who could not be forced to do so, especially with several injured players and losing Rice due to a red card, of course this made Arteta a little depressed for the players available.
But in the end 3 points they have managed to get regardless of whether it is luck or indeed Arsenal are still very strong I don't think it matters for now because after all the target of 3 points is still obtained for them and it is indeed a good thing that Arsenal have shown this week as well as being an asset for them to do the first week in the Champions League later.
Arsenal players have worked hard and they deserved the three points. The match was very tight so it was difficult for both teams to develop the game. But the high tension of the match was very enjoyable and made the match titled London Derby even more different atmosphere. So I congratulate Arteta because he was really able to mix his squad very well even though some of his mainstay players were still unable to be involved in the match.