An application for a Writ of Habeas Corpus is filed when a person seeks relief from unlawful detention or imprisonment. The meaning of WRIT OF HABEAS CORPUS is habeas corpus.A state writ of habeas corpus is a legal document that allows people in state custody to challenge the legality or constitutionality of their detention. Filing for a writ of habeas corpus in federal court entails research, investigation and drafting of a petition that will be filed in a federal court. An application for a writ of habeas corpus asks a court to overturn your conviction because of a state or federal constitutional violation. Student interns from the University of Houston Law Center (UHLC) are integral to this process. Goal setting, employment search, and more. On Hispaniola, out of timbers from the Santa Maria, which had run aground, Columbus built a fort, the first European military base in the Western. Hemisphere. Appellant relies on his affidavit that was filed with his writ of habeas corpus to support these arguments. On Hispaniola, out of timbers from the Santa Maria, which had run aground, Columbus built a fort, the first European military base in the Western. Hemisphere.