There are numerous synonyms for the phrase "holding up view." Some of these synonymous expressions include "propping up perspective," "sustaining opinion," and "maintaining stance." Additionally, some other options include "upholding belief," "supporting outlook," and "defending viewpoint." Essentially, all of these synonyms refer to the act of maintaining and holding onto an opinion or perspective, and ensuring that it remains valid and relevant. Depending on the context, some synonyms may be more appropriate than others, but all of these expressions convey a similar meaning and are useful for communicating the idea of upholding a viewpoint.