Meanwhile, reflecting on India's tournament as a whole, Kohli insisted: "We can (still) be very proud. and we leave here with our heads held high".
Mohammad Amir had Rohit Sharma lbw in the first over and the king of the ODI chase, Virat Kohli came in at 0-1 but instead of steadying the ship he was dropped after just eight balls and instead of taking that reprieve he was out one ball later.
India was then routed for 158 in the 31st over.
Pakistan skipper Sarfraz Ahmed hailed his side's character and belief as they delivered a brilliant performance to hand defending champions India a 180-run thrashing in the final of the ICC Champions Trophy cricket tournament here on Sunday.
But it was fellow paceman Hasan Ali, the player of the tournament having kick-started Pakistan's revival in their group-win over South Africa, who ended the match with more than 19 overs to spare when he had tailender Jasprit Bumrah caught by gleeful captain and wicket-keeper Sarfraz Ahmed.
Pakistan will be out for revenge while India will aim to maintain their dominance when the arch-rivals meet in the final.
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Kohli also praised young all-rounder Hardik Pandya, who was the highest scorer among the Indians with 76 runs off 43 balls.
But the Pakistanis wrote off that defeat as an aberration.
India won the toss and chose to put Pakistan into bat - a decision that turned out to be a awful call. Pakistan bowled first in its previous four Trophy matches, and only once in Trophy history has a team batting first won the final; India in 2013. There was considerably less pressure on Pakistan, especially after the side had already lost to the Indian side in their opening game.
After being asked to bat in the summit clash, Zaman along with his opening partner Azhar Ali gave Pakistan a strong start with a century-run opening stand.
Azam played a mediocre shot after a sensible innings on the excellent batting strip and he, the openers and a belligerent Mohammad Hafeez completely neutralised the world-class spinners of India, Ravi Ashwin and Ravindra Jadeja, as their two overs produced 137 runs. The left-hander scored 54 runs off 32 balls, the fastest half-century in a world One Day International (ODI) final. He danced to the other end, waved his bat to all parts of the packed ground, and kissed the pitch.
Put in to bat, Pakistan got off to a flawless start.