The Arsenal boss felt his side were unfortunate not to come away from Old Trafford with three points for the first time since 2006 in the Premier League.
Jose Mourinho's team have now gone four games without a win and remain in eighth place in the standings, while Arsenal are down to fifth despite having extended their unbeaten run in the top flight to 13 matches.
Their firepower was badly missed as Liverpool laboured in the first-half and went behind early in the second. "I'm not frustrated, I am very proud of the players because they had a very good match for every supporter. As always we made mistakes and we paid for the mistakes".
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"But we have to be happy with the spirit".
The Gunners went ahead when keeper David de Gea made a bad mistake - albeit on a greasy surface - after he could only parry Shkodran Mustafi's 26th-minute downward header that Ander Herrera could not clear before it crossed the line.
Anthony Martial levelled six minutes later from close range, Ander Herrera pulling the ball back after Marcos Rojo's free kick was well-saved by Bernd Leno.
A harmless corner from the visitors turned out to be United's undoing, Smalling out-muscled by Mustafi who fired a header towards De Gea.
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Arsenal were barely done celebrating when the ball was in the net at the other end as a misunderstanding between Sead Kolasinac and Leno allowed Jesse Lingard to nip in and equalise.
Another fine performance by Arsenal was marred by a serious-looking knee injury to young defender Rob Holding who went off before halftime. Rob Holding, we are going to wait for the doctor but maybe it's a big injury'.
"Behind was a kid [Dalot] with a first start, Eric [Bailly] half-injured and without playing for a long time, Smalling injured - I have to say injured - Marcos Rojo's first minutes of the season, [Matteo] Darmian with a third start; it was lots of people in very hard circumstances".
Spurs took advantage of Chelsea and Arsenal dropping points to move back up to third with a comfortable 3-1 win over Southampton, whose new manager Ralph Hasenhuttl watched on from the stands at Wembley.
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