Re-establish means to reinstate, revive, restore or renew something that may have been lost or discontinued. Its antonyms or opposites would, therefore, be to abolish, eradicate, demolish or destroy something entirely. For instance, if a company wants to re-establish its position in the market, it would aim at rebuilding its reputation and increasing sales; it would not want to abolish or demolish its operations. Similarly, if a government wants to re-establish peace in the country, it would work towards ending violence and conflict; it would not aim at eradicating its citizens. In conclusion, the antonyms for re-establish are essentially terms that indicate a removal or destruction of whatever is being restored.