Goals from the German defender and Riyad Mahrez saw Claudio Ranieri's side send out a title message to their rivals with an emphatic victory at the Etihad Stadium.
Leicester City took a significant step in the sensational bid for the Premier League title with a ruthless 3-1 win at Manchester City.
The home team was the favorite to replace Leicester at the summit at kickoff, ambitions that were soon dented when Robert Huth handed Leicester a second-minute lead at the Etihad Stadium.
Huth then led an impeccable defensive display as Manuel Pellegrini's team had little to show for sustained periods of possession, while appearing badly vulnerable to its opponent's razor-sharp work on the counterattack.