The privilege of the writ of habeas corpus shall not be suspended, unless when in Cases of Rebellion or Invasion the public Safety may require it. 1. Notice of appeal 2.A writ of habeas corpus is used to bring a prisoner or other detainee (e.g. Federal habeas corpus is a procedure under which a federal court may review the legality of an individual's incarceration. Habeas corpus is a Latin phrase meaning "produce the body. Habeas Corpus, in the Federal Court, is a petition that claims that you are being detained against your US constitutional rights. A person who believes she is being imprisoned illegally can file a petition asking a judge to issue a writ of habeas corpus. You should use this form if. Though subject to different rules, incarcerated people in both state or federal custody may petition for a federal writ of habeas corpus. What Is Habeas Corpus?