Juventus boss Massimiliano Allegri praised his side to learn from their defeat to Manchester United and responded with a 2-0 victory over AC Milan on Sunday night.
The Italian side suffered a 2-1 loss against United in the Champions League on Wednesday, but seemed to have put it behind them when they took their Serie A rivals.
Mario Mandzukic led the way with his fifth goal for the season before Cristiano Ronaldo added a second ago to restoring Juve's six-point advantage on top of the Serie A table.
? @Cristiano: "I'm happy"
– JuventusFC (@juventusfcen) November 11, 2018
Allegri described the result as a "big step forward".
Quote on Juventus website he said: "Losing against Manchester United has made us good and tonight it was a good response from the team.
"We were a bit shaken by the results on Wednesday, but the boys immediately went to the attack in this game.
"We gave away a penalty after a counter attack, which was the only time Alex Sandro and [Blaise] Matuidi both pushed up, but [Wojciech] Szczesny did really well to save.
"This game is a big league progress because we have created a nine point gap with Inter and we are still six points away from Naples."
We were ruthless from a defensive point of view.
The game started at a high pace when both teams pushed to the opener in the early stages.
It took Juventus just eight minutes to break the deadlock when Mandzukic rose high over Ricardo Rodriguez on the back of head Alex Sandro's point over Cross Milan's goalkeeper Gianluigi Donnarumma.
Mandzukic had a chance to do what would have been a monopoly goal three minutes later but this time the ball was behind a corner just before it reached him.
Argentina International Higuain, who joined Gennaro Gattusos Milan on loan from Juve to pave the way for Ronaldo's arrival from Real Madrid, saw a first half-kick saved by Wojciech Szczesny who would have scored the level before he was dismissed late.
Juventus flew out of the blocks in the second half and Ronaldo doubled Juve's lead nine minutes before the end and hit the rebound after Joao Cancelo's hard drive had been paired by Donnarumma.
Allegri added: "In the first half, we might have organized ourselves better. In the second, we did better and we were ruthless from a defensive perspective."
AC Milan boss Gattuso said that Juve had shown that they had "something more than us both physically and individually".
He told Milan TV: "There are many positive aspects, even if we do things halfway right now.
"The team has changed according to character, they know how to suffer and stay on the plan.
"But we lost some vitality and technology: we must combine both things together."