Off-spinner Lyon, who walked into the record books with career-best figures of 8 for 50 today, said Kohli committed a mistake by not offering a shot to get himself out for just 12 as Australia skittled India out for a paltry 189.
"Everybody wants to compete against the best and he (Kohli) is one of the best players in the world. He is obviously the head of the snake if you want to put it in Dale Steyn's terms. So it's quite pleasing to take Kohli's wicket," Lyon said after first day's play.
Asked about the manner he dismissed Kohli in the post-lunch session, Lyon said, "I think it was his mistake in the first game and it was the same today. That ball was nothing special. But as I said Virat is a world class player and we expect him to bounce back. We are lucky enough, it paid of today and it was a great day for Australia."
Asked how he motivated himself against the best players of spin, Lyon said he loved to bowl against the Indians and prove himself that he's a good bowler.
More From This Section
"I don't need to prove to anyone else in the world. I just want to prove myself that I am good enough and I can compete hard. It was a very good day today and very fortunate enough to bowl in great partnership with the other bowlers. I was the lucky one on the day I guess," he added.
On Australia getting India out cheaply in the last three innings, Lyon said the visiting side worked on their plans and did their basics well as they knew India are a talented side.
"We have got that belief in ourselves and the atmosphere in the change room is unbelievable at the moment. If we can keep doing that then there will be some good days for Australia."
Lyon said the pitch helped his traditional way of bowling and he and Steve O'Keefe hoped to do the same in the second innings.