Chelsea moved into the Premier League's top four as Mason Mount's superb first-half goal earned them a 1-0 win at champions Liverpool, who suffered a club-record fifth straight home league defeat on Thursday.
Mount cut in to curl a low shot past Liverpool keeper Alisson in the 42nd minute, after Timo Werner had earlier had a goal disallowed, to give Chelsea a deserved halftime lead.
Thomas Tuchel's side then showed great defensive discipline to stand firm in the second period as Liverpool improved.
Liverpool, who substituted a disgruntled Mohamed Salah in the second half, struggled to carve out clear chances, though, and managed only one effort on target.
Chelsea, unbeaten since Tuchel replaced Frank Lampard in January, have 47 points from 27 games, one more than Everton who had briefly gone fourth by beating West Bromwich Albion.
Liverpool's title defence is in tatters and Juergen Klopp's side have slumped to seventh spot with 43 points from 27 games. Remarkably, their five successive home league defeats have come after they had lost none of the previous 68 games at Anfield.
"It's very tight around the top four and these big games we need to win," Mount said. "Tonight maybe we could have had a couple more goals. We had to be brave and win the ball back high and that's where the goal came from."
Tuchel is now unbeaten in 10 games in the Stamford Bridge hot seat and Thursday's victory was another tactical masterclass by the German who last week crafted an eye-catching 1-0 win at Atletico Madrid in the Champions League.
His side's relentless pressing was too much for Liverpool in the first half, while they cleverly mixed up the angle of their attack to keep Klopp's side firmly on the back foot.
Werner should have put Chelsea ahead in the 12th minute but failed to connect with a volley and the German striker then latched on to a long pass forward and nicked it past the out-rushing Alissson before rolling the ball home.
Liverpool were spared by an agonisingly tight VAR offside decision on that occasion but did not learn their lesson.
Just before halftime N'Golo Kante's long pass found Mount on the left. The young midfielder cut in past Trent Alexander-Arnold and arrowed a right-footed shot inside the far post.
Liverpool did show more of their trademark intensity after the break but Chelsea were unruffled, although there was one anxious moment just after the restart when Roberto Firmino's cross struck the hand of Kante but they survived a VAR check.
Chelsea looked far sharper Hakim Ziyech had an effort cleared off the line while Werner also had the chance to make the points safe but was denied by Alisson.
Liverpool's only attempt on target came late on as Georginio Wijnaldum shot straight at Edouard Mendy while defender Ozan Kabak also had a half chance.
"It was a well-deserved win, a big performance and a big result," Tuchel said.
Tottenham edge past Fulham thanks to Adarabioyo own goal
Tottenham Hotspur rode their luck in the quest for a top-four finish in the Premier League with a 1-0 victory at Fulham on Thursday thanks to an own-goal by Tosin Adarabioyo and the intervention of the Video Assistant Referee (VAR).
Victory dragged Tottenham back into the race for a Champions League spot with Jose Mourinho's eighth-placed side on 42 points from 26 matches, four points behind Everton in fourth, ahead of Sunday's clash with Crystal Palace.
Seconds after an unmarked Harry Kane failed to head his team in front, Tottenham took the lead from a quick counter-attack in the 19th minute when Son Heung-min's cross was met by Dele Alli before going over the line following a touch by Adarabioyo.
Fulham began the second half brightly and thought they had equalised through Josh Maja but his effort was controversially chalked off by VAR after Davinson Sanchez kicked the ball onto Mario Lemina's hand as Tottenham looked to clear.
Midfielder Alli looked sharp in his first league start since the opening day of the season and combined well with Son late in the first half, but the forward was unable to head in the England international's cross from a tight angle.
Fulham pushed on after going behind as Antonee Robinson weaved his way into Spurs' penalty area in the dying seconds of the first half and found Maja who set up Lemina, but the Gabon midfielder's shot flew over the crossbar.
Fulham stayed 18th in the table and deep in relegation trouble, three points behind Newcastle United and Brighton & Hove Albion.