Liverpool long since ceased to play a part in this title race. But when it comes to going face to face with City at this time of year, they know how it is. They know there is no way back for those who blink.
Here in front of an Anfield crowd with only pride to cling to this season, Arsenal didn’t so much as blink as have a light shone deep in to their eyes until they simply could not take any more.
It could have been worse for Mikel Arteta and his team. Having led from the eighth minute and by two from the 28th, they could actually have lost. Their goalkeeper Aaron Ramsdale made one of the saves of his career to touch a deflected Mo Salah shot over the bar in the 94th minute.
Then, a minute later, he managed to keep the ball from crossing the line at the Kop End after Liverpool defender Ibrahima Konate seemed to have bundled the winning goal in with his chest from five yards.
So, yes, it could have been worse. Arsenal left Merseyside with honour and an eight-game unbeaten run in the league intact. That will mean something in a variety of different ways.
But, still, the mathematics have a different feel to them now. Simply because for the first time in a long time City have their own destiny in their hands.
They trail Arsenal by six points which sounds like a lot but they have a game in hand, a superior goal difference and still have to host their rivals at the Etihad.