Brendan Rodgers' side broke the deadlock in the 25 minute when Scott Sinclair converted from the penalty spot before James Forrest scored a second, his first, for the Bhoys before the half-time whistle.
"It is the mark of the team", Rodgers said."I always say to never leave the game early".
"What we did very well was we had a rest when we had the ball".
"Sometimes when you have midweek games, you play and then recover and don't do a lot of physical work in between".
"If you are going to rest in a game, rest with the football", he said.
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"Callum McGregor's goal was a great example of that". Most notably, Dedryck Boyata made his first appearance of the season with a welcome return to central defence.
"There was a bit of swelling in his knee, but the medics tell me he should be fine", said Rodgers. He was also booked for a nasty kick on the knee of Kieran Tierney - the Celtic fans who caught their breath when he went down were relieved to see him get up again - and briefly caused consternation to both medical staffs when he suffered a freak injury in the centre of midfield.
Speaking to RangersTV he said: "This game is massive, the first Old Firm of the season is always the most hard one because both sides are eager to get the win and get one up on their rivals".
Rodgers guided Celtic to five wins in six derby meetings last term but is expecting a different challenge from Pedro Caixinha's new-look side.
After making a brilliant run in the 23rd minute the winger went down in the box being brought down by Dark Blues defender Jack Hendry.
Celtic started the second half in a mood to inflict further misery for the hosts, but for once Leigh Griffiths' radar was off, even if the striker's wickedly deflected shot would have spun into the bottom corner were it not for an outstretched Bain arm.