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The six-time champion wrapped up the match 6-3, 6-4, 4-6, 6-0 to advance to the last 16.
The six-time champion was at his devastating best in the one hour and 23 minute procession as he gave the hapless Pouille a brutal lesson in Grand Slam tennis and extended his perfect semifinals record to 7-0 at Melbourne Park.
The peerless Serb broke Nadal five times while conceding only a single break point to clinch his 15th Grand Slam title.
Djokovic was treated for a sore left shoulder throughout his 6-4, 7-6 (7/3), 6-1 victory over Argentina's 56th-ranked Juan Ignacio Londero.
Djokovic, champion in four of the past five Slams and 16 overall, was less bothered by left shoulder pain that nagged him in the second round in defeating 111th-ranked American Denis Kudla 6-3, 6-4, 6-2.
Roger Federer and Rafael Nadal were elected by fellow players to fill two of the vacancies caused by the resignations of Robin Haase, Jamie Murray and Sergiy Stakhovsky prior to Wimbledon.
Fittingly the London era ended as it began with a Russian winner after Nikolay Davydenko took the 2009 title.
Rafael Nadal's dream of a first ATP Finals title and Novak Djokovic's quest for a record-equalling sixth vanished in defeats by Daniil Medvedev and Dominic Thiem in two seismic semifinals.
The 27-year-old Austrian appeared to be sliding to defeat when he trailed 0-4 in the third-set tie-break but stormed back to claim a 7-5, 6-7(10), 7-6(5) victory in just under three hours.
World No. 1 Novak Djokovic beat Alexander Zverev 6-3, 7-6(4) to seal a last-four spot.
Results 271-280 of 281
