The announcement came despite ongoing battles in a handful of western Mosul neighborhoods that continue to force hundreds of civilians to flee each day.
IS still controls some eight square kilometers of western Mosul, including the dense Old City where some of the toughest battles are expected to play out.
Special forces spokesman Sabah al-Numan said his troops had completed their initial mission, but stood ready "to support any other forces if we are ordered to by the Prime Minister."
A suicide bombing today near the oil-rich city of Basra killed at least eight people and wounded 41 others, according to a military commander.
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Five civilians and three troops were killed when the bomber blew up his explosives-laden car yesterday at a checkpoint north of Basra just behind a bus waiting to be cleared, said chief of the Basra Operations Command, Lt. Gen. Jamil al-Shimmari.
A second attacker drove down a desert road after the explosion and security forces killed him, al-Shimmari added. In an online statement, IS claimed responsibility for the attack, saying it targeted Shiites.
IS also claimed responsibility for the double suicide bombings in Baghdad overnight that killed at least 19 people and wounded 33, according to an online statement.
Iraqi forces, backed by the US-led coalition, officially launched the operation to retake Mosul in October and the city's east was declared "fully liberated" in January.
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