Application And Writ Of Habeas Corpus Ad Prosequendum PDF, 204 KB. These files may not be suitable for users of assistive technology. Application and Writ of Habeas Corpus Ad Testificandum PDF, 214 KB. These files may not be suitable for users of assistive technology.The following steps should be followed when filing a Petition for Writ of Habeas Corpus. 1. Go to Civil on the blue bar located at the top of the screen. 2. Petition for Writ of Habeas Corpus. This is a petition for a writ of habeas corpus filed on behalf of. A habeas corpus petition is used to argue that a person is being unlawfully held in custody, and should be released. Need to file contemporaneously a petition for certiorari in the Supreme Court and a habeas petition in the federal district court. Uniformity in the application of Supreme Court decisions that empowered state action. The U.S. Supreme Court likely would reject a petition, and Wash- ington might be scheduled for execution sometime early in 1994.