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A peremptory writ of mandamus (also peremptory writ of mandate or simply peremptory mandamus) is an absolute and unqualified writ (a formal written command) to the defendant to do the act in question. It is issued when the defendant defaults on, or fails to show sufficient cause in answer to, an alternative mandamus. It is one of the three types of a mandamus.
A more exact definition of a peremptory writ of mandate is "a final order of a court to any governmental body, government official or a lower court to perform an act the court finds is an official duty required by law."