An editor has objected to secondlargest city in the United Kingdom outside London on the grounds that Greater London is not a city  The problem is that city is used in two different senses often in the common English sense of a large urban settlement which would include London eg in List of European cities by population within city limits but sometimes in the UK in the sense of a local government district with city status  which may or may not be a city in the common sense  Not many people would say that Birmingham is the largest city in the UK on the grounds that London is not a city  But since as already pointed out this is an article about Leeds not the City of Leeds the whole sentence is best omitted here