Postpublished at 45+2 mins
Rangers 1-3 Hibernian
Into first-half stoppage time and Rangers win a corner after a brilliant block from Paul Hanlon.
Connor Goldson gets a free header but his effort sails across goal and wide.
Hibs will play Celtic in 19 December final
Boyle forces in from close range, flashes in stunning second, then scores from spot after being fouled by Davis
Arfield pulls one back almost immediately after Hibs' third to make it 3-1 at break
New Rangers manager Giovanni van Bronckhorst watching from stand
Colin Moffat
Rangers 1-3 Hibernian
Into first-half stoppage time and Rangers win a corner after a brilliant block from Paul Hanlon.
Connor Goldson gets a free header but his effort sails across goal and wide.
Rangers 1-3 Hibernian
Tom English
BBC Scotland's chief sports writer at Hampden
Can’t quite believe what I’m seeing, Boyle and Nisbet absolutely running rings around this awful Rangers defence. Arfield with a goal that reminds us that the favourites still have a pulse. Incredible stuff.
Rangers 1-3 Hibernian
Nick McPheat
BBC Sport Scotland at Hampden
Huge, huge test of character now for Hibs.
Jack Ross turned to the stand behind him with an expression like that was a Rangers equaliser.
His players need to stand strong in these final first-half minutes.
Rangers 1-3 Hibernian
Kenny Miller
Former Rangers & Hibernian striker
Quote MessageI said it when it was 2-0 I wouldn't rule Rangers out, but there was just no sign of that coming. It's been a brilliant game of football, you do not want this first half to end
Scott Arfield
Dreadful defending from Ryan Porteous as he scuffs an attempted clearance straight to Scott Arfield, who steers a composed, angled shot inside the far post.
A lifeline for Rangers gifted to them by the man they love to boo.
Martin Boyle (pen)
Right down the middle!
The Hibs fans are in dreamland.
Rangers 0-2 Hibernian
Steven Davis bundles into the back of Martin Boyle...
Hat-trick opportunity for the forward.
Rangers 0-2 Hibernian
Rangers skipper James Tavernier tries his luck from 25 yards but doesn't catch the shot properly and it bobbles wide.
Rangers 0-2 Hibernian
Kenny Miller
Former Rangers & Hibernian striker
Quote MessageThe Rangers centre halves need to stand up to the test Martin Boyle and Kevin Nisbet are posing, at the moment they are all over them, they are running amok
Rangers 0-2 Hibernian
A terrific burst of speed from Martin Boyle takes him past two defenders and the Hibs fans at Hampden rise as one as he cuts into the penalty area but his pass is a poor one, going straight to Scott Arfield.
Rangers 0-2 Hibernian
Nick McPheat
BBC Sport Scotland at Hampden
Ryan Porteous and Hibs boss Jack Ross are furious with that Alfredo Morelos incident.
Got to say, we are lucky to have monitors here and there doesn't look to be much in it at all.
Rangers 0-2 Hibernian
Hibs defender Ryan Porteous hits the deck and is clutching his face as Alfredo Morelos fends him off with an arm.
Nothing much in that...
Rangers 0-2 Hibernian
Rangers are knocking on the door, with Hibs pinned back and trying to squeeze the space around their penalty area.
Scott Arfield turns to fire off a shot and it's only a whisker wide.
Rangers 0-2 Hibernian
Nick McPheat
BBC Sport Scotland at Hampden
Martin Boyle has the two goals, but Kevin Nisbet has been excellent so far.
The striker's play outside the box is so underrated and you saw it in all its glory there for Hibs' second.
But this is a shadow of the Rangers defence we watched last season. That's being kind.
Rangers 0-2 Hibernian
Rangers' Joe Aribo twists one way then another before shooting over the top from a tight angle.
Rangers 0-2 Hibernian
Rangers respond as Scott Arfield hammers in a shot from 20 yards and Matt Macey does well to bat it away.
Rangers 0-2 Hibernian
Billy Dodds
Former Rangers striker on BBC Sportsound
Quote MessageHis first goal wasn't a difficult finish but, my word, that is a sensational finish. He just lashes it right across Allan McGregor
Martin Boyle
A lovely touch takes Kevin Nisbet away from his man and then he clips a wonderfully waited pass into the path of Martin Boyle, who's too quick for James Tavernier as he slams a sweet angled strike beyond Allan McGregor.
Rangers 0-1 Hibernian
It's breathless stuff as the action rages from one end to the other. Joe Aribo jinks into the Hibs penalty area but Paul Hanlon is there with a great sliding block.
Rangers 0-1 Hibernian
Rangers have now conceded the first goal in their last six outings.
They haven't lost any of those games.