MANCHESTER, England -- Pep Guardiola's Manchester City have proven their footballing ability beyond doubt, but if this season is more a gauge of their character, they passed an important test by beating Chelsea 2-1.

There was a point earlier on Saturday when Crystal Palace were holding leaders Liverpool, meaning a City win would have closed the gap at the top of the Premier League to seven points. Instead, Guardiola's players had to recover from news of another late winner for the leaders, this time courtesy of Roberto Firmino at Selhurst Park.

Moreover, N'Golo Kante's 21st-minute opener for Chelsea meant City, who just 13 days lost 3-1 at Liverpool, had to come from behind to ensure the distance remained at nine. That they did so, sealing the club's 400th victory in the Premier League, sealed a move back into third place above Chelsea, and the character on show should not be underestimated.

It came at a cost -- Sergio Aguero limped off with an injury that could see him miss the Manchester derby, while David Silva and Rodri were also ailing -- but on a day when the passing was not quite as crisp and the chances were not quite as frequent, the champions found a way. Small wonder, then, that Guardiola hailed "a great victory." He is refusing to throw in the towel in his search for three consecutive titles, and his team served notice they do not intend to, either.

Guardiola spoke after the game about "suffering" and, pointedly, "determination." It felt like a fair summary given that midway through the first half, three points looked anything but certain. Willian had already fizzed a shot just wide of the far post for the visitors, when Mateo Kovacic flicked a pass over the head of Fernandinho and into Kante's path.

The French midfielder used the yard of space left by fellow countryman Benjamin Mendy to draw Ederson -- back in the City team after injury -- out of his goal and Kante rolled his finish into the net. Frank Lampard had his hand in the air long before the ball crawled over the line, just out of Fernandinho's reach. Aymeric Laporte, in the stands, winced at the defending. If City are to win the league, they need him back quickly.

The equaliser, nine minutes later, was fortuitous and against the run of play. A loose ball ricocheted off Fikayo Tomori and into Kevin De Bruyne's path and he needed another deflection off Kurt Zouma to wrong-foot Kepa Arrizabalaga. Not all goals have to be beautiful and not all title wins have to be achieved with 100 points.

"We scored a goal when they were better," said Guardiola. "Normally we believe you have to be better to score it, but in that moment they were better."

City's second, on 37 minutes, was far more pleasing on the eye. The hitherto quiet Riyad Mahrez collected possession on the right, then drove infield past Kovacic and Emerson Palmieri before firing a shot inside the far post. The goal was so good that it was applauded when the replay was shown on the Etihad Stadium's big screens.

In the space of eight minutes, Chelsea fans' chant of "champions of Europe, you'll never sing that" had been drowned out by a chorus of "champions of England, we know what we are" from the home support.

In the second half, Kepa saved from Mahrez and the VAR, Andre Marriner, ruled out a late third from Raheem Sterling, who late bemoaned his misfortune on social media. At the other end, Mason Mount came closest to an equaliser for Chelsea with a free kick that flashed wide.

Lampard, on his return to the club at which he played the final year of his Premier League career in 2014-15, can count himself unlucky that Chelsea suffered defeat in the league for the first time since Sep. 22. It said everything about the performance of his young team that City were restricted to just 47% possession, the joint-lowest recorded by a Guardiola-managed team in 381 top-flight games.