A written statement that someone makes after promising officially to tell the truth. An affidavit can be used as proof in a law court.This form can be used to file an affidavit in support of court papers in the Cuyahoga County Domestic Relations Court. An affidavit is a written statement that you swear is true and that may be used as evidence in a court of law. Your case may be eligible to be transferred to a child support enforcement agency (CSEA) in another county, depending on specific facts and circumstances. An affidavit is a written statement that you swear is true and that may be used as evidence in a court of law.