A federal judge has preserved claims in a proposed class action filed against the New York City government and the embattled New York City Housing Authority for allegedly failing to inspect for and remove lead paint from public housing and declined to let the city off the hook as a defendant in the case.

Ruling on the defendants’ motions to dismiss, U.S. District Judge William Pauley III of the Southern District of New York pared down claims, filed by a group of four NYCHA tenants who have young children, that they were deprived of their procedural and substantive due process rights.