FT: Rangers 0-1 Celtic: Jota nods in free header from close range; Rangers' Tillman goes off midway through first half injured & while Celtic's Johnston goes off after break
Celtic now unbeaten in five meetings with Rangers this season
Inverness CT through to final after seeing off Falkirk in first semi-final
FT: Rangers 0-1 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Sportsound
Celtic had two show a different side today. Both centre-backs were very, very good. They had to hang in there. They kept them in the game, because Rangers dominated second half.
FT: Rangers 0-1 Celtic
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FT: Rangers 0-1 Celtic
Jota's goal means Celtic will face Inverness Caledonian Thistle in the Scottish Cup final.
Having extended their unbeaten run against Rangers to six games, Ange Postecoglou's side will be strong favourites against the second-tier side who eased aside Falkirk yesterday.
Image source, SNSFT: Rangers 0-1 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Sportsound
Rangers have done as much as they could in the second half to get back level, but it's not good enough.
Image source, SNSJoe Hart was busier in the second half, but Rangers could not find the equaliser
Celtic are through to the Scottish Cup final, where they will face Inverness Caledonian Thistle on 3 June.
Holders Rangers are out, unable to repeat their victory over their city rivals of a year ago at this stage.
Rangers' season is effectively over, with Celtic one win away from a league title and one win away from a domestic treble thanks to Jota's first-half winner.
Rangers 0-1 Celtic
Anthony Ralston collapses theatrically inside his own penalty box.
The substitute Celtic right-back is on his feet again and a few more seconds have ticked down.
Rangers 0-1 Celtic
Celtic are playing the ball about deep in Rangers' half.
They just want to deny their opponents possession.
Rangers 0-1 Celtic
Rangers have been handed five minutes of stoppage time to rescue their season.
Rangers 0-1 Celtic
Celtic are having to hold on a bit here, but Rangers can't make the pressure count inside the penalty box.
Substitute Ridvan Yilmaz makes room for himself on the edge of the penalty box, but the Turkish left-back's drive is over.
Rangers 0-1 Celtic
Celtic captain Callum McGregor is booked for a professional foul on Ianis Hagi as the Rangers midfielder looked to break clear.
Rangers 0-1 Celtic
The cup holders have four minutes or so left to avoid defeat.
Rangers 0-1 Celtic
South Korea striker Oh Hyeon-gyu is on for a tiring Kyogo up front for Celtic.
Rangers 0-1 Celtic
So close to an equaliser.
Scott Arfield wraps his foot around the ball at the edge of the penalty box, but the midfielder's curling drive is just high and wide.
Rangers 0-1 Celtic
Ianis Hagi, the Romania midfielder who recently returned from long-term injury, is thrown on to replace anonymous striker Alfredo Morelos.
Last throw of the dice by Rangers manager Michael Beale.
Image source, SNSIt's been a quiet afternoon for the Rangers striker
Rangers 0-1 Celtic
Rangers midfielder Todd Cantwell is looking out on his feet and is booked for a lunging tackle that not only missed the ball but the opposing player too.
Rangers 0-1 Celtic
Pat Bonner
Former Celtic goalkeeper on BBC Sportsound
These are big moments for Rangers, but they haven't been able to put the ball in the back of the net. They lack that player that Celtic have to step up and do so.
Rangers 0-1 Celtic
Nearly another self-inflicted wound in Rangers' defence.
Connor Goldson dallies as he chests down a cross, but the centre-half did well to recover to block as Daizen Maeda fires over from close range.
From the corner, it looks like Ben Davies heads over the crossbar, but a goal kick is given.
Rangers 0-1 Celtic
Colin Moffat
BBC Scotland at Hampden
Even people in the posh seats are on their feet, peering through the gloom as the minutes tick by and the tension rises.
Not a lot of flowing football, but both sets of players are using up every ounce of energy as the rain gets heavier.
Rangers 0-1 Celtic
Neil McCann
Former Rangers winger on BBC Sportsound
It's a brilliant stop from Hart. He pushes it away from Arfield.
Rangers 0-1 Celtic
Celtic are having to defend desperately and goalkeeper Joe Hart gets his hand to a dangerous cross.