Goals from Timo Werner and Emil Forsberg condemned Celtic to an early Champions League exit as RB Leipzig ran out 2-0 winners in Glasgow on Wednesday.
Werner adjusted to nod in the first after Leipzig survived an early onslaught, then he turned provider as Forsberg made the points safe with an outstanding side-footed finish.
While Celtic could still finish third in Group F and qualify for the Europa League's knockout round play-offs, that will be the limit of the Bhoys' ambitions in their final two matches following a third defeat in four Champions League outings.
Roared on by a frenzied home crowd, Celtic went close twice in quick succession after 27 minutes, with Matt O'Riley drilling an effort against the base of the post from 18 yards out before Greg Taylor hit a looping volley onto the crossbar.
Celtic continued to press in the second half but suffered a huge blow 15 minutes from time as Werner raced onto Andre Silva's chipped cross to plant a header into the top-right corner.
Giorgos Giakoumakis went close to a leveller with a stooping close-range header, but the hosts were put out of their misery by Forsberg with six minutes remaining. He controlled Werner's pass before lifting a classy finish beyond Joe Hart.
Rodgers enjoying 'exciting period' as Celtic open gap at top of Scottish Premiership
Brendan Rodgers says it is an "exciting period" for Celtic as they moved three points clear at the top of the Scottish Premiership with a 4-1 win over Hearts.
Celtic made a sluggish start to the match and were lucky not to find themselves behind at the break as Blair Spittal and Lawrence Shankland spurned glorious chances for Hearts.
However, they came out revitalised in the second half as Kyogo Furuhashi and Nicolas Kuhn scored twice in five minutes to put them 2-0 up on the hour mark.
Adam Idah scored twice, netting on either side of Musa Drammeh's consolation, with his second coming from the penalty spot in the 94th minute.
Celtic have now won all seven of their away league games this season by an aggregate score of 22-2.
After Aberdeen's first loss of the season earlier on Saturday, Celtic gave themselves some breathing space at the top of the league, while also moving 11 points clear of rivals Rangers, who sit third.
Rodgers was delighted with Celtic's response to the first half, praising the players' adaptation.
"I'm really pleased. Tynecastle is a really tough place so to win 4-1 was really pleasing," Rodgers said.
"Second half, we figured out their press. They have normally been pressing in 4-4-2 but changed it slightly. It just meant we had to drop a man in our build-up play.
"We had some good moments in the first half, but once we were able to play through that pressure, I thought in the second half we were excellent.
"It's a very exciting period for us. All the players know they will play, they just need to be ready."
Manchester City 0-4 Tottenham: Guardiola's champions humiliated in fifth straight loss
Manchester City's losing streak stretched to five games across all competitions as Tottenham stunned the Premier League champions with a 4-0 victory at the Etihad Stadium.
On his 28th birthday, James Maddison scored twice in the first 20 minutes as Ange Postecoglou's visitors caught out their hosts on the counterattack.
Maddison was found unmarked at the far post by Dejan Kulusevski for his opener, then exchanged passes with Son Heung-min and dinked a fine finish over Ederson for his second.
City continued to dominate possession but struggled to find a killer pass, and their hopes of a second-half fightback were dashed when Pedro Porro – who spent three years as a City player between 2019 and 2022 – capped another lightning break early in the second half.
Erling Haaland clipped the crossbar but that was as close as City came to making it competitive, with Brennan Johnson completing the rout following fine work from Timo Werner, as the worst run of Pep Guardiola's managerial career continued.
Second-placed City could now find themselves eight points adrift of the summit after Liverpool’s trip to Southampton on Sunday.
Tottenham, meanwhile, climbed to sixth in the table, four points behind City.
Data Debrief: Uncharted territory for Pep
City have now lost five straight matches in all competitions, including two versus Tottenham after they were also beaten in the EFL Cup last month.
They are the first reigning top-flight English champions to lose five games in a row since Chelsea did so in March 1956.
This is the worst losing streak of Guardiola's glittering managerial career, with City last losing six in a row under Stuart Pearce in 2006.
Should their dismal run continue at Liverpool in eight days' time, their title defence may be in tatters before the festive season has even begun.
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