Villas-Boas said: "It's important for us to get three points, particularly on a day where two title contenders played against each other.
"Our win made us recover some points and get closer to second position."
“We have not done anything special. We just have to continue to win until we find a position of comfort at the top of the Premier League”
Chelsea trail leaders Manchester City by three points, but have another chance to cut the gap at the top on Sunday. Villas-Boas's side go to QPR while the top two play each other in the Manchester derby.
Midfielder Ramires might not be available for the trip to QPR, however - or, more immediately, Wednesday's Champions League match against Genk - having suffered a knee injury in the win over Everton.
The Brazilian, who has played in all of Chelsea's Premier League games this season, limped off on 65 minutes after hurting himself while scoring, and had to be helped down the tunnel.
The win over Everton maintained Villas-Boas' 100% home record since his summer appointment as Chelsea manager, but he said: "We have done nothing else than our responsibilities in winning the games that we have won at home.
"We have not done anything special. We just have to continue to win until we find a position of comfort at the top of the Premier League, because that's what we want."
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