Liverpool's statement to the rest was all the greater because of the quality of their performance. It was their best in the Premier League this season, despite Klopp citing wins over Manchester City and Arsenal as superior.
The outstanding contributor was Trent Alexander-Arnold, with his vision, range of passing and precision strike for Liverpool's fourth.
The bragging rights have reached something approaching the realms of the ridiculous for a club who were on their knees and on the brink of financial disaster under previous ownership, just a little more than 10 years ago. 'And now you're going to believe us, we're champions of the world,' their fans sang without a hint of irony.
There were echoes from Liverpool of the same profligacy that had coloured the early stages of their win over Flamengo that gave them that status in Doha, six days ago. A Mohamed Salah cross skidded off Sadio Mane's left shin and wide when the Senegalese only required a tap-in in the game's early stages.
Salah arced a shot high over the bar after Jonny Evans' careless ball out of defence had been captured by Gigi Wijnaldum and reprocessed into a goalscoring opportunity for him.
But going two games short of a year undefeated in the Premier League, as Liverpool now have, breeds supreme belief. Liverpool did not provide the slightest hint that the 9,000-mile return trip from Doha had been a burden.
Jordan Henderson, surely the most improved player of the decade which is drawing to a close, sprayed passes in the style of Graeme Souness, with whom he is now inviting comparisons.
Alexander-Arnold, who drew a sharp once-handed save from Kasper Schmeichel in the game's first minute, and Andy Robertson exploited the space in the wide areas afforded them by a Leicester side whose willingness to advance in numbers bore out Brendan Rodgers' promise of adventure. 'His range of passing,' Rodgers said of Alexander-Arnold, whom he blooded when Liverpool manager. 'He plays as a midfield player from full back.'
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