"I must be one of the luckiest guys on the planet", said the former Ajax midfielder, who will now return to Amsterdam to play his old club in the semi-finals.
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The tone for a frantic night was set as Sterling curled home his first after just four minutes.
City looked on course to progress from the tie when Sergio Aguero netted their fourth goal of the night off a Kevin de Bruyne pass in the 59th minute. Sterling thought he had won it in injury time - sparking wild scenes of celebration - only for VAR to rule his strike out for offside.
There was incredible late drama when Raheem Sterling thought he had sent City through in the dying seconds only for VAR to rule it out for offside.
Bundled in from a corner, it was certainly not the most polished of finishes.
But City still had 17 minutes plus stoppage time to tilt the pendulum back in their favour, and they pushed once again, pouring forward and targeting the byline. It's gone off his hip, off a hard part of his body.' The home side were later struck again by VAR, although the decision appeared incontrovertible.
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Ben Simmons is on the attack so far in Game 2 - he has seven points, four rebounds and three assists through one quarter. On the court, it was Lou Williams and Montrezl Harrell that made the difference, combining for 51 of the Clippers' 104.
The VAR call was correct and the Premier League champions were out - to the delight of Pochettino and his players who celebrated wildly in front of the travelling Spurs support.
"I have never seen something like this, It was tough and insane but we are very proud of our team-mates", the South Korean forward told BT Sport.
City would not win and the Quadruple dream was over, for another year at least.
City had 15 minutes to save their Champions League campaign.
Salah, who endured a goal drought in March, confirmed he was getting close to his best again when he coolly slotted the ball past Casillas after collecting a flawless diagonal through ball from Trent Alexander-Arnold in the 65th minute.
"It is a historical day for Spurs", said Alderweireld, 30, who came through the Academy ranks at semi-final opponents Ajax. This team has the personality and mentality to believe all is possible.
Guardiola may be hailed as the best coach in the world but since lifting the Champions League with Barca in 2010-11, in eight seasons since he's not made it to the final.
"But to reach a semifinal in the Champions League, you need fate, good spirit, lots of preparation in preseason".