yeah we had a huge slice of luck in losing our best attacker to a freak accident and our only left back to an ACL in the days preceding the Chelsea game, people also forget we were 1 up on Liverpool and Jesus possibly should have had a second and were just starting to get on top of that game after we scored, I still think we'd have scored another 1 or 2 in that game even if 'pool had 11 players on the pitch.
Injuries happen to all clubs. Our best player has been out for a while and doesn't seem to be coming back soon. Our best (and only proper) LB has been injured for about 3 years now.
What you think is hardly an indication of what would have transpired in the Liverpool game. When Mane was on the pitch, who is by far their best player, they were looking the more convincing side not to add their second best player wasn't even playing as he had his head set in Spain.
The Chelsea game you're talking of, the injuries were unfortunate of course, yet Chelsea lost their best (and tbf only proper) striker early in the game and their best player (who when fully firing is probably the best player in the league) was still recovering from a long term injury lay off.
You're clutching at straws if you genuinely believe City haven't been lucky this season. You've been great, don't get me wrong, but you've been blessed with a feck ton of luck, injuries as an exception (which is a problem for all clubs, your Manchester rivals and the Chelsea game you referred to.)
The fact of the matter is the games against the big clubs is what might be the difference between the two Manchester clubs this season and so far City has been blessed in both games. Even though they looked very impressive in both, things were made just that bit easier for them.