Willian cancelled out Javier Manquillo's third-minute opener before goals from Eden Hazard, Pedro and a late double from Michy Batshuayi secured a comprehensive win.
They came in celebration: to applaud the champions, to bid farewell to their "captain, leader, legend" and to laud the man who had masterminded the rejuvenation.
Chelsea had already won the Premier League title under the stewardship of Antonio Conte by reverting to a 3-4-3 system a few months back.
Like all decent people/football fans, I hate John Terry.
Cahill appears to be his successor as skipper and, alongside Conte, the Blues are in good hands.
For all that Conte praised Terry's contribution off the pitch, too, the reality is that he was essentially one of those players whose influenced had to be reduced so Chelsea could finally move onto a new era; to properly herald the future.
There could be further farewells. He passed the torch to Cahill by giving him the armband, the same one that he has worn throughout the season as Chelsea's on-field captain.
Moyes said: "That gulf was always going to show at some time in the game".
With the title race settled in Chelsea's favour, Tottenham guaranteed to finish second and the three relegation places filled by Sunderland, Middlesbrough and Hull, attention will focus Sunday on the battle for the lucrative remaining two places in Europe's elite club competition.
"He deserved to start the game and to have a substitution after 26 minutes".
Champions Chelsea give ideal send-off to John Terry
Chelsea are the first team to win 30 Premier League games in a season.
One of my greatest non-Newcastle football memories was when John Terry cost Chelsea the Champions League.
Sunderland held out until the break and started the second half brightly, with Jack Rodwell forcing Courtois into an excellent save. Jermain Defoe was absent ahead of his expected summer departure, due to a hamstring injury.
The extent of the tributes to Terry today was enough for anyone watching to know what he means to Chelsea.
The Blues could have taken the lead not long after, with Willian turning provider and putting a flawless ball across the box that both Costa and Hazard manager to miss.
The hosts responded quickly in the eighth minute when Alonso's free kick rebounded off the post and Willian lashed the ball under Jordan Pickford to equalise.
DF Bryan Oviedo, 5 - Not his best afternoon and struggled throughout against Chelsea's attacking flair.
David Luiz was next up, but this time his header from a corner inched over the crossbar.
Five minutes later the Blues levelled through Willian who rifled the ball beyond Pickford following vast pressure, with shots continuing to rain down on the Sunderland stopper as Conte's side searched for a second.
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