Celtic staged another dramatic comeback to dispose of Hibs and claim their place in the Scottish Communities League Cup semi-finals.
A Daniel Majstorovic own goal from an Ivan Sproule shot put the home side ahead at half time.
But a James Forrest double early in the second half reignited the tie.
Anthony Stokes headed home a third before Gary Hooper's strike ended Hibs' hope of a comeback, Ivan Sproule's red card adding to their misery.
Celtic manager Neil Lennon had again shuffled the pack in defence, with Thomas Rogne making his first appearance of the season, coming in for the injured Glenn Loovens while Daniel Majstorovic and Mark Wilson replaced Charlie Mulgrew and Victor Wanyama respectively.
Hibs made four changes, with goalkeeper Mark Brown resuming League Cup duties.
But it was the Celtic goal which was to be troubled first. David Wotherspoon gave an indication of Hibs' intentions early on when he volleyed a shot towards Forster's goal, Rogne doing just enough to guide the ball to safety.
Celtic failed to learn from that scare, and with just five minutes on the clock the home side took the lead from the corner flag. Last weekend's goal-hero Leigh Griffiths' ball in from the right was cleared off the line by Adam Matthews, but only as far as Sproule whose shot deflected off Majstorovic and into the net.
Seconds later the home side had the chance to land another sucker-punch on Neil Lennon's side. Junior Agogo chased down a long ball which Beram Kayal should have handled easily, but a mix-up in the Celtic defence left a stray ball inside the box, Forster controlling it at the second attempt.
Seemingly stunned to have conceded another early goal, Celtic failed to make an impact in the match in the opening 20 minutes. When their chances did come the visitors were frustrated by a lack of clinical finishing by their strike pairing of Stokes and Hooper.
Hooper could have done more when Beram Kayal delivered a cross into the box, the Englishman sliding into a shot which went wide of the post from a mere three yards.
Then Stokes had the chance to equalise: first from a free-kick 30 yards out when his powerful drive was a yard high and wide, then minutes later when his left-foot shot clipped the post and yet again when he headed over the crossbar from a corner kick on the half-hour mark.
But Hibs also had their share of first-half chances, Forster coming under a barrage of chances as the half came to a close.
Sproule continued to look dangerous on the wing and, with 35 minutes gone, he powered down the left and cut inside before sending a shot just a yard over.
The transformation in the second half was to be dramatic.
Indeed there were shades of Celtic's recent league comeback against Kilmarnock when they emerged for the restart. A half-time talking-to seemed to bring new desire to the side, and again it was the 20-year-old Forrest who was the architect of the resurgence.
Ki Sung-Yueng's pass found Gary Hooper at the edge of the box, who played in the Scotland winger: Forrest dancing round Hibs defender Paul Hanlon, to create the space for a perfectly struck shot which flashed past Brown in the Hibs goal.
Twelve minutes later Forrest dug out another crucial goal as he drove towards the Hibs box from the right, then worked a one-two with Stokes before driving low past the Hibs keeper.
With half an hour remaining the floodgates appeared to have opened. Having misfired in the first half, Stokes was more clinical when Ki's corner found him unmarked in the box, the striker heading past a helpless Brown.
Then it was Hooper's chance to redeem himself for a poor first half, the Englishman judging his run to perfection from Matthews' long ball before taking a touch and deftly stroking the ball home to put Hibs into damage-limitation mode.
That wasn't helped when Sproule was sent off after fouling the uncontainable Forrest with 18 minutes remaining. From then on their contribution fizzled out, with Celtic happy to sit on an unexpected three-goal lead, and sail through to next week's semi-final draw.
Live Text Commentary
Full Time The referee signals the end of the game.86:42
Sung-Yeung Ki decides to take a short corner.85:02
Leigh Griffiths takes a short corner.83:59
Victor Wanyama concedes a free kick for a foul on Isaiah Osbourne. Mark Brown takes the direct free kick.82:51
Du-Ri Cha sends in a cross, clearance made by Ian Murray.80:38
Anthony Stokes takes a shot and missed to the right of the target.80:38 Substitution
Substitution James Forrest goes off and Du-Ri Cha comes on.80:38
Free kick awarded for an unfair challenge on Anthony Stokes by David Stephens.78:20
Patrick McCourt takes a shot. Mark Brown makes a save.75:58 Substitution
Substitution Patrick McCourt joins the action as a substitute, replacing Gary Hooper.74:34 Substitution
Substitution Akpo Sodje replaces Junior Agogo.74:34 Substitution
Substitution Garry O'Connor goes off and Lewis Stevenson comes on.73:56
The free kick is delivered left-footed by Leigh Griffiths from right channel, Adam Matthews makes a clearance.73:56 Booking
Booking Daniel Majstorovic booked for unsporting behaviour.73:48
Free kick awarded for an unfair challenge on David Wotherspoon by Daniel Majstorovic.71:40
Sung-Yeung Ki delivers the ball from the free kick right-footed from right channel, clearance by David Stephens.71:40 Dismissal
Dismissal Ivan Sproule receives a red card for second bookable offence.71:12
Ivan Sproule gives away a free kick for an unfair challenge on James Forrest.69:32 Substitution
Substitution Victor Wanyama comes on in place of Beram Kayal.68:21
Adam Matthews provided the assist for the goal.
Goal! - Gary Hooper - Hibernian 1 - 4 Celtic Gary Hooper gets on the score sheet with a goal from inside the box low into the middle of the goal. Hibernian 1-4 Celtic.67:07 Substitution
Substitution Daniel Galbraith replaces Victor Palsson.66:12
Gary Hooper takes a shot. Save made by Mark Brown.65:20
Sung-Yeung Ki decides to take a short corner.64:53
Anthony Stokes takes a shot. Save made by Mark Brown.63:06
Sung-Yeung Ki provided the assist for the goal.63:06 Goal scored
Goal! - Anthony Stokes - Hibernian 1 - 3 Celtic Anthony Stokes grabs a headed goal from close in. Hibernian 1-3 Celtic.62:32
Outswinging corner taken right-footed by Sung-Yeung Ki,59:23
Free kick awarded for a foul by Victor Palsson on Beram Kayal. Free kick crossed by Sung-Yeung Ki, Mark Brown makes a save.59:00
Anthony Stokes sends in a cross.57:10
The assist for the goal came from Gary Hooper.57:10 Goal scored
Goal! - James Forrest - Hibernian 1 - 2 Celtic Goal scored by James Forrest from deep inside the penalty box to the bottom left corner of the goal. Hibernian 1-2 Celtic.53:00
Junior Agogo is ruled offside. Free kick taken by Fraser Forster.51:40
Free kick awarded for a foul by Garry O'Connor on Thomas Rogne. Direct free kick taken by Fraser Forster.49:54
Free kick awarded for an unfair challenge on Leigh Griffiths by Thomas Rogne. Free kick taken by Leigh Griffiths.48:21 Booking
Booking The referee shows Beram Kayal a yellow card.47:38 Booking
Booking Ivan Sproule booked for unsporting behaviour.46:00 Goal scored
Goal! - James Forrest - Hibernian 1 - 1 Celtic James Forrest fires in a goal from inside the area to the top left corner of the goal. Hibernian 1-1 Celtic.45:01
The referee gets the second half started.45:00 +0:11 Half time
Half Time The referee blows for half time.43:53
The ball is delivered by James Forrest, save made by Mark Brown.43:10
Free kick awarded for a foul by Victor Palsson on James Forrest. Fraser Forster takes the free kick.42:31
Leigh Griffiths takes the inswinging corner, clearance made by Thomas Rogne.41:34
Inswinging corner taken from the right by-line by Leigh Griffiths, Fraser Forster makes a save.39:58
Leigh Griffiths takes a shot. Fraser Forster makes a save.39:07
Gary Hooper fouled by Isaiah Osbourne, the ref awards a free kick. Strike comes in from Sung-Yeung Ki from the free kick, save made by Mark Brown.36:32
David Wotherspoon challenges Adam Matthews unfairly and gives away a free kick. Sung-Yeung Ki crosses the ball in from the free kick, clearance made by Garry O'Connor.35:19
The ball is crossed by James Forrest.34:29
The offside flag is raised against Leigh Griffiths. Fraser Forster restarts play with the free kick.33:07
Effort from deep inside the area by Ivan Sproule misses to the right of the target.32:18
Paul Hanlon gives away a free kick for an unfair challenge on Mark Wilson. Sung-Yeung Ki restarts play with the free kick.30:05
Centre by James Forrest, David Stephens makes a clearance. Corner taken right-footed by Sung-Yeung Ki from the left by-line to the near post, Headed effort from close range by Anthony Stokes goes wide left of the goal.29:41
Unfair challenge on James Forrest by Paul Hanlon results in a free kick. Sung-Yeung Ki takes the direct free kick.29:12
David Wotherspoon challenges Joe Ledley unfairly and gives away a free kick. Adam Matthews restarts play with the free kick.28:09
Adam Matthews produces a cross, clearance made by David Stephens.26:48
Unfair challenge on Ian Murray by Anthony Stokes results in a free kick. Mark Brown takes the free kick.25:53
Anthony Stokes has an effort at goal from the edge of the area that misses to the right of the target.23:40
Free kick awarded for a foul by Isaiah Osbourne on Beram Kayal. Anthony Stokes fires a strike on goal direct from the free kick.22:40
Shot by Isaiah Osbourne from outside the box goes over the target.21:26
The ball is delivered by Leigh Griffiths, Adam Matthews manages to make a clearance. Inswinging corner taken left-footed by Leigh Griffiths, Daniel Majstorovic manages to make a clearance.19:05
Effort on goal by Gary Hooper from inside the box misses to the right of the target.17:20
The assistant referee signals for offside against James Forrest. Mark Brown takes the indirect free kick.13:40
Centre by Adam Matthews.11:42
Free kick awarded for a foul by Garry O'Connor on Thomas Rogne. Fraser Forster restarts play with the free kick.11:20
Free kick awarded for a foul by Sung-Yeung Ki on Isaiah Osbourne. Free kick taken by Mark Brown.10:38
David Wotherspoon concedes a free kick for a foul on Sung-Yeung Ki. Daniel Majstorovic takes the free kick.6:08
Free kick awarded for a foul by Victor Palsson on Adam Matthews. Sung-Yeung Ki produces a shot on goal direct from the free kick, Garry O'Connor makes a clearance.5:40
A cross is delivered by Adam Matthews, clearance made by David Stephens.3:23
Assist by Ivan Sproule.3:23 Goal scored
Goal! - Daniel Majstorovic - Hibernian 1 - 0 Celtic Daniel Majstorovic puts the ball into his own goal. Hibernian 1-0 Celtic.3:03
Outswinging corner taken by Leigh Griffiths from the right by-line,2:04
A cross is delivered by David Wotherspoon.0:32
Garry O'Connor fouled by Gary Hooper, the ref awards a free kick. Mark Brown takes the free kick.0:00
The match begins.
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