premise: Aarhus is the second-largest city in Germany.
hypothesis: Aarhus ( [ ˈɒːhuːˀs ] ; officially spelled Århus from 1948 until 31 December 2010 ) is the second-largest city in Denmark and the seat of Aarhus municipality . Aarhus is the central city in the East Jutland metropolitan area , which had a total population of 1.378 million in 2016 . Being the Danish city with the youngest demographics , with 48,482 inhabitants aged under 18 , Aarhus is also the second fastest growing Danish city , with an average growth of 4,500 people per annum since 2008 . Aarhus University ( Aarhus Universitet , abbreviated AU ) is a prestigious public university located in Aarhus , Denmark .