When it comes to antonyms for the word "re-instate," a few options come to mind. Firstly, there's the straightforward opposite, "dismiss," meaning to remove or discharge from a position or job. This would be the most commonly used antonym in this context. Additionally, "abolish" and "invalidate" can also serve as antonyms, meaning to do away with or to nullify something previously established. These can be useful when referring to laws, policies, or regulations rather than personnel. Finally, "demote" or "relegate" might also serve as an antonym, meaning to move someone to a lower-ranking or less important position. Regardless of context, these antonyms give speakers and writers a nuanced vocabulary to use in describing the outcome of a reinstatement.