Iraqi forces drove Islamic State militants from one of their last bastions in the eastern half of the city, while aid groups expressed concern for the estimated 750,000 people still in the militant-held west.
In his weekly news conference today, Haider al-Abadi hailed the "unmatched heroism of all security forces factions" and public support for the operation.
"Daesh has quickly collapsed and no one expected such collapse," al-Abadi said, using the Arabia acronym of IS. "The heroism of our security forces was behind Daesh's defeat."
Asked how long it will take to liberate the western side of the city, al-Abadi told The Associated Press: "I can't tell now, but we are capable of doing so and we will do so."
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Hundreds of civilians fled from the northeastern Rashidiya neighborhood on foot as Iraqi helicopters circled overhead and fired on militants. At least two wounded Iraqi soldiers were brought back from the front lines after a suicide bombing.
Meanwhile, Al-Abadi renewed his promise to investigate allegations of human rights violations by security forces in conflict areas and bringing those responsible to trial, a day after ordering a probe into a video on social media purportedly showing government troops beating and killing at least three IS suspects in Mosul.
Yesterday, a provincial investigative committee in the country's western Anbar province concluded its probe into human rights violations in June near the town of Fallujah and found that a member of a Shiite militia killed 17 civilians, he said.
The UN Humanitarian Coordinator for Iraq, Lise Grande, expressed concern for civilians in the western half of Mosul in a statement signed by 20 international and local aid groups.