This was a statement victory and performance from Everton over a team that, like them, is pursuing a place in European competition next season.
Going into Saturday evening's match, the Blues were under a little pressure to perform at the level they had shown on their travels, including the last one at Arsenal, although that ended in defeat.
Despite taking possession of a brand new multi-million-pound state-of-the-art stadium at the beginning of this season, so far it has perhaps not felt like it was really home for the Toffees players or their supporters.
Inevitably, the gleaming new ground has lacked the history and close-packed, intense atmosphere that had made Goodison Park so iconic and such a tough place for opponents down the years.
All the club's greatest memories, of course, were made at the Grand Old Lady, and Everton have still not had enough time to stamp fresh ones into the fabric of the Hill Dickinson yet.
Well, despite the agony of that undeserved loss in North London last weekend, the Toffees overwhelmed Chelsea and also got the goals their efforts merited to surely ease any doubts about whether they could produce the goods at home.
It was a complete performance, with the Blues combining the defensive grit and resilience they have become so well known for, especially under David Moyes, with dominant, incisive attacking energy and, most importantly of all, the goals such play deserved.
Beto, who Moyes has returned to after seemingly losing patience with Thierno Barry, got a brace, the first by an Everton player at Hill Dickinson. And both finishes showed the sort of quality and composure that he has been so often heavily criticized for lacking in the past.
Furthermore, James Garner, who has just been called up to the England squad, produced a man-of-the-match display, including the assist for Beto's first, as if to underline his progression from Manchester United fringe player to fully fledged international.
Now the challenge for Everton's players is to maintain this level of performance and energy in the final seven matches, starting with a tough trip to Brentford on 11th April, despite the upcoming international break that might check their momentum.
The run-in is not easy with games against Liverpool and Manchester City at home as well as further travels to London to face Crystal Palace, relegation-threatened West Ham, and Spurs.
With the possibility that English clubs might get as many as five Champions League places, seventh will probably guarantee European qualification, so the Toffees' current position of eighth will not be enough.
While European football is not perhaps essential, it would be a significant boost for the club and aid further player recruitment in the summer, as well as representing a tangible reward for the progress that has been made on and off the pitch over the last year or so.