What legal principal gave Marburg a right to some remedy under law

The legal principal which Marbury stated was that he argued that Section 13 of the Judiciary Act of 1789 gave the Supreme Court authority to issue a writ of mandamus under its original jurisdiction, its power to hear and decide such a case for the first time. which was his hope of winning the case.

A principle stating that where a right exists, a corresponding remedy for any violation of that right must exist as well.