The phrase "through with" means to have finished or done with something or someone. It can also mean to be fed up or tired of someone or something. There are several synonyms for this phrase, including "done with," "finished with," "had enough of," "tired of," "over and done with," and "over with." Each of these synonyms can be used interchangeably with "through with," depending on the context and tone of a sentence. For example, "I am done with my homework for the day" can also be phrased as "I am through with my homework for the day".