Win they didn't, but Arsenal did at least display the "big mentality" asked of them by Emery - and for which the Gunners manager must take credit for instilling.
Liverpool thought they had broken the deadlock through Mane in the 18th minute, until the linesman raised his flag as Mane was adjudged to have been offside on the rebound from Roberto Firmino's shot that hit the post.
Both sides had first-half efforts ruled out for offside, Liverpool's a more contentious call as Sadio Mane saw his celebrations cut short.
Following the losses to Manchester City and Chelsea to start the season, Emery's team badly needed a result to prove that they are making strides towards challenging their main rivals and they delivered the right kind of statement at the Emirates.
Arsenal battled back to earn a 1-1 draw as Alexandre Lacazette turned home a superb equaliser just eight minutes from time.
The England worldwide will have a long and successful career at Anfield, something that fans have known since he fully broke into the first team last season and showed some mature performances against top opposition.
It would be fair to say, almost three months into his first season at the Emirates, that Emery has met such expectations. But perhaps that isn't entirely fair for Liverpool; after all, this is an Arsenal side that has improved significantly since then, one riding a 14-game unbeaten streak.
"In the moment we have each position twice, three times and sometimes four times covered".
Unai Emery's side are fourth in the table, but will move to within one point of Liverpool with three points.
Mane's disallowed strike was the major talking point, with many fans reviving calls for the Premier League to follow other major leagues and introduce VAR.
"Maybe the injury he has is affecting him and he doesn't want to get hurt. Now it's a point and that will always be a success at Arsenal".
He took his goal very well, with a great deal of composure, and his teammates' performance ensured that incredibly, he still has never lost a Premier League game in which he has scored. "When you're 1-0 up in a game like that you need to see it out and we didn't do that", he said.
He may not have the individual accolades and statistics of that calibre, of player, but in terms of attitude, work rate, leadership and professionalism, Milner will go down as one of the most consummate professionals to have laced up their boots in this league.