any such writ, action, indictment, cause, or proceeding shall be transferred to such appropriate State courts and shall be proceeded with therein in due course of law. (b) Unfiled proceedings based on actions prior to admission All civil causes of action and all criminal offenses which shall have arisen or been committed prior to the admission of the State into the Union, but as to which no writ, action, indictment, or proceeding shall be pending at the date of such admission, shall be subject to prosecution in the appropriate State courts or in the United States District Court for the District of Columbia in like manner, to the same extent, and with like right of appellate review, as if the State had been admitted and such State courts had been established prior to the accrual of such causes of action or the commission of such offenses. (c) Maintenance of rights to and jurisdiction over appeals (1) Cases decided prior to admission Parties shall have the same rights of appeal from and appellate review of final decisions of the United States District Court for the District of Columbia or the District of Columbia Court of Appeals in any case finally decided prior to the admission of the State into the Union, whether or not an appeal therefrom shall have been perfected prior to such admission. The United States Court of Appeals for the District of Columbia Circuit and the Supreme Court of the United States shall have the same jurisdiction in such cases as by law provided prior to the admission of the State into the Union. (2) Cases decided after admission Parties shall have the same rights of appeal from and appellate review of all orders, judgments, and decrees of the United States District Court for the District of Columbia and of the highest court of the State, as successor to the District of Columbia Court of Appeals, in any case pending at the time of admission of the State into the Union, and the United States Court of Appeals for the District of Columbia Circuit and the Supreme Court of the United States