Rests with is a commonly used phrase to denote the responsibility or authority for a particular action. However, there are numerous synonyms for this phrase that can be used interchangeably, such as lies with, belongs to, is under the purview of, is the responsibility of, rests in the hands of, is the duty of, is the obligation of, is mandated by, is required by, among others. All of these phrases imply that a certain job, task, or duty falls within the scope of a person or an organization's area of responsibility, and that action should be taken accordingly. Therefore, choosing the right term to replace rests with can make the language more versatile and engaging in various text types.