So we lost to City, is our title even remotely in danger?
Our lead is 12 points - i.e. 4 wins. United and City each have seven games left. If it gets to the point that there are four games left with a four game lead, then United wins*. That means, that out of seven chances, City need to have at least four games work out in which both they win and we lose, and that's just to tie us on points. We also have an 8 point lead in goal differential. So if United can win 3 games then we are pretty much safe no matter what City does.
City's remaining schedule:
- West Brom
- West Ham
United's remaining games are against:
Draws are also possible, of course, but with so few remaining games nobody is likely to get enough draws to add up to the points for a full game so you can basically treat them as losses and the outcomes will be about the same.
So we should feel pretty good there.