Mikel Arteta's side were scrappy and well below their fluent best against a desperately poor United but this was three points that meant the world to them.
This eyesore of a game was settled by Leandro Trossard's 20th-minute swoop at the near post after Casemiro fell asleep - not literally of course - in unforgivable fashion to play Kai Havertz onside.
City have only won once in six visits to the Tottenham Hotspur Stadium. These are the sort of statistics Arsenal will be poring over as they search every avenue for hope.
The end came just in time - no-one was raining on this Arsenal parade. The closing phase of a tense encounter lacking in quality was played out under leaden skies amid stifling humidity.
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