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Ida was married to the Přemyslid duke Spytihněv II of Bohemia and gave birth to two surviving children. Together with them she apparently was exiled from Bohemia after the death of her husband on 28 January 1061. Her daughter, whose name is not recorded, married a Saxon nobleman named Wichmann of Celle, whereas her son Svatobor (Frederick) became Patriarch of Aquileia in 1085, only to be murdered during a street disturbance in February 1086. She probably had another daughter, who became the first wife of Grand Prince Sviatopolk II of Kiev.