Wyo. Const. art. 5, § 3

Supreme court generally; original jurisdiction. The supreme court shall have original jurisdiction in quo warranto and mandamus as to all state officers, and in habeas corpus. The supreme court shall also have power to issue writs of mandamus, review, prohibition, habeas corpus, certiorari, and other writs necessary and proper to the complete exercise of its appellate and revisory jurisdiction. Each of the judges shall have power to issue writs of habeas corpus to any part of the state upon petition by or on behalf of a person held in actual custody, and may make such writs returnable before himself or before the supreme court, or before any district court of the state or any judge thereof.