The phrase "accede down" may not be a commonly used expression, but there are certainly several synonyms that can be used in place of it depending on the context. For instance, instead of "accede down," try using "consent," "agree," or "yield." These words convey a similar meaning as "accede down," which implies giving in or submitting to a higher authority. Additionally, other synonyms that can be substituted for "accede down" include "comply," "capitulate," and "surrender." In short, there are numerous alternate terms that can be used in place of "accede down" based on the tone and context of the message you wish to convey.