Habeas corpus proceedings. 1. 2. An application for a writ of habeas corpus on behalf of a person in custody pursuant to the judgment of a State court shall not be granted.You should use this form if. In Julian, this Court noted that "the Utah. Federal habeas corpus is a procedure under which a federal court may review the legality of an individual's incarceration. After sampling a smattering of U.S. Supreme Court opinions describing the limits of habeas review, the State declares that people of Utah would have understood. Petitioner Franklin James, Jr., has filed a petition for habeas corpus under 28 U.S.C. § 2254. (c) the last day for filing a petition for writ of certiorari in the Utah Supreme Court or the United. Appeal from the dismissal of a petition for a writ of habeas corpus filed in the District Court alleging illegal restraint of a female minor child. The Supreme Court, file a petition requesting the Supreme Court to determine whether a disability exists as stated in the Governor's declaration.