When looking for synonyms for the phrase "be the case," there are a few options to choose from. One option is "hold true," which is often used when referring to a fact or statement that remains unchanged. Another synonym is "apply," which suggests that a certain principle or rule is relevant in a particular situation. Additionally, "exist" is a synonym that might be used to describe something that is present or observable in a given context. Other possible synonyms include "occur," "take place," and "prevail." Regardless of which synonym you choose, each phrase is a great way to express the idea that something is happening or true in a given situation.