The phrase "tie up with" typically refers to forming a partnership or alliance with someone or some organization. Its antonyms, however, convey the opposite meaning of disconnecting, separating or disengaging from something. Words like "disentangle," "detach," "unfasten," "loosen," "unhook," and "uncouple" all present ways to indicate a break or end of a connection. These antonyms can be useful in situations where partnerships or agreements are no longer productive, or when looking to distance oneself from certain associations. Choosing the right antonym to convey the necessary message is key to effective communication.