The Bhoys boss was full of praise for his Celtic side, despite conceding twice in the closing stages of Saturday's game.
After the club's disappointing midweek draw with Kilmarnock, the Norwegian head coach demanded a reaction from his players and he will have been pleased with the display at Parkhead as the Hoops recorded a comprehensive victory over their opposition.
The champions established a four-goal lead, with Mikael Lustig and Leigh Griffiths scoring headers in the opening half, before Stuart Armstrong struck twice after the interval to cap another assured display.
However, a lack of concentration saw the Scottish Premiership favourites allow Inverness to score two late goals, with Ryan Christie and Dani Lopez both finding the back of the net for the travelling Jags.
Nonetheless, despite conceding two late goals, Deila is looking to focus on the positives that can be taken from his side's display.
"Today I won’t focus on that (conceding), I’ll focus on the first 71 minutes because that was a very good performance from us," he told reporters, as per the club's official website.
"We defended well and had high tempo in everything with good, quick reactions. It was a very good team performance and I’m very happy to see that today. The response after Kilmarnock was good.
"It (mistakes) doesn’t concern me. That hasn’t happened very often. I think it’s the first time for a long time I’ve seen that so that will always happen in football games but this was in the wrong areas and we got punished very hard.
"It’s a warning, of course, but the players know that. What we take with us now is the 70 minutes where I think we were very good."
The Celtic chief was also asked to comment on the club's latest recruit, Scott Allan, who was unveiled for the first time prior to kick-off.
The 23-year-old midfielder was introduced to the Parkhead crowd following Friday night's highly-publicised move from Hibernian and - despite being a boyhood Rangers fan - he was given a fantastic reception by the onlooking supporters.
However, while Deila recognises the young midfielder's ability, he doesn't expect him to walk straight into the first team at the club.
"We have looked at him for a while and he’s a great talent," he said. "He has the ability to make the final pass and be creative in the last third of the pitch. That’s what we need more of in the team and he’ll get better in our environment.
"He has the things that are difficult to get - the technique and understanding. These things are there already so it’s about getting up to tempo in everything he does so he can make an effort at the highest level.
"I don’t think he’ll go straight in. Nobody has done that almost. He has to show in training and get into an environment. He’s a young talented player who has to get used to what we do and get up to the tempo."