Josko Gvardiol and Erling Haaland struck for the visitors.
Guardiola later said: (It was) really hard.
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Last season we drew and played much better than today.
Knowing the circumstances that we arrived here, we knew the game that was going to happen.
We were so lucky that the pitch was so dry. With the chances they had, with better pitch conditions, they would have scored.
We were incredibly fortunate for that. We suffered but when (Mateo Kovacic) came on in the second half and Bernardo (Silva) was involved in there, we were much, much better."
On leaders Arsenal winning at Tottenham earlier in the day, he added: We prefer they lose but we cannot control what they do.
They made a good result. There are four games left. I think they are not going to lose any points.
We know what exactly we have to do."