THE standards which Brendan Rodgers demands from this remarkable Celtic team are such that he may, despite the records which tumbled and the adulation that rained down from the stands, have felt a slight twinge of uneasiness as the celebrations got underway yesterday.

The stubborn resistance of a visiting Hearts side which did its very best to gatecrash the Ladbrokes Premiership title party was successfully worn down and victory assured with two second half goals from Leigh Griffiths and Stuart Armstrong.

It was a truly momentous result. It meant that Celtic became the first Scottish club in the modern era to go an entire top flight campaign undefeated. Their predecessors managed the feat way back in the 1897/98 season and their city rivals might have Rangers emulated that the very next season. But no elite club has managed it in the 119 years since.

Read more: Brendan Rodgers hails Celtic's Invincibles achievement as "once in a lifetime"The Herald:

There was more. Rodgers’s charges broke the previous best marks for points accumulated (106), goals scored (106) and matches won (34) in the Premiership with the 2-0 triumph. They deserve to join some illustrious company and be labelled Invincibles.

Yet, Rodgers is not the kind of individual to let below par performances slide regardless of the circumstances or the final outcome. Especially not with the William Hill Scottish Cup final against Aberdeen at Hampden on Saturday, and the chance to both lift a treble and go the entire season unbeaten, looming.

Celtic will need to perform far better this weekend in order to complete a clean sweep of major honours for only the fourth time in their history.

Ian Cathro’s side contained their hosts well and limited their chances for long spells of the first half yesterday. In addition, Bjorn Johnsen struck the post and substitute Malaury Martin forced an excellent save from Craig Gordon towards the end of the 90 minutes.

It could be argued that late on in proceedings centre half Jozo Simunovic had been taken off to give Kolo Toure – who helped Arsenal go the entire Premier League campaign undefeated back in the 2003/04 season – a final hurrah before he retires from playing this summer.

Read more: Scott Sinclair hoping for first ever cup final appearance as Celtic go for treble

This was also, with Mikael Lustig left out of the squad altogether and Tom Rogic rested from kick-off, not as strong a side as will take to the field in their final fixture. But Rodgers and his charges will appreciate only too well that a stark improvement will be required if they are to avoid what would be an excruciating loss.

The Parkhead club may have beaten Celtic in all five of their meetings to date this term – including by an emphatic 3-0 scoreline in the Betfred Cup final at Hampden back in November – but their rivals’ 6-0 triumph over Partick Thistle at Firhill was an indication they are in impressive form themselves and a definite declaration of intent.

“We are under no illusions that Aberdeen will bring their A game,” said Griffiths. “They are a really good side and on their day they can beat anybody. But if Aberdeen slip up they will have a really difficult afternoon.

“If we bring our A game we will have a really good chance of winning that cup. We have got a week to prepare now and we will do everything that we can to be properly prepared. Come three o’clock on Saturday we will be ready to go.”

Griffiths retained his place in the Celtic starting line-up despite his moment of madness – he had publicly mouthed off at his manager on the touchline after being substituted - in the 5-0 win over Thistle game at Firhill three days earlier.

Read more: Brendan Rodgers hails Celtic's Invincibles achievement as "once in a lifetime"

Rodgers really had, with Moussa Dembele out injured, no other option but to keep faith with his errant marksman. But both his acceptance of the player’s apology and understanding of his frustration at not being a regular starter this season were genuine.

The Scotland internationalist, who had woken his gaffer up with a text message apologising for his actions the morning after the Thistle game, certainly had the look of a man who was desperate to redeem himself. He probed tirelessly for an opening against opponents who fielded a five man backline.

He has scored a fair few goals in his 26 years, but few of them will have felt as sweet as the one he netted five minutes into the second half. He stole ahead of Krystian Nowak, got on the end of a Patrick Roberts cross and directed a downward header beyond Viktor Noring.

Griffiths had a hand in his side’s second goal in the 76th minute as well. Scott Sinclair laid off his cross to Armstrong inside the Hearts box and the midfielder who hooked the ball into the net to crank the festivities among the 58,967 in attendance up a notch.

There will be the mother of all shindigs in the East End of Glasgow on Saturday should Celtic win the Scottish Cup. But Aberdeen will be far more difficult to defeat and the level of display will have to be better if they hope to achieve what Jock Stein’s team did in 1967 and 1969 and Martin O’Neill’s side did back in 2001.