Iraqi government forces killed the Islamic State commander of Mosul’s Old City on Tuesday as the battle for the militants’ last stronghold in Iraq focused on a bridge crossing the Tigris river.

As fighting intensified on Tuesday after the previous day’s heavy rains, civilians streamed out of western neighborhoods recaptured by the government, cold and hungry but relieved to be free of the militants’ grip.

IS snipers were slowing the advance of Interior Ministry Rapid Response units on the Iron Bridge linking western and eastern Mosul but the elite forces were still inching forward, officers said.

Government forces also pushed into areas of western Mosul, Islamic State’s last redoubt in the city that has been the de facto capital of their self-declared caliphate.

Federal police killed the military commander of the Old City, Abu Abdul Rahman al-Ansary, during operations to clear Bab al-Tob district, a federal police officer said. With many IS leaders having already retreated from Mosul, Ansary’s death comes as blow to the militants as they defend their shrinking area of control street-by-street and house-by-house.