The term "up-holding" implies supporting or maintaining something, but there are several antonyms that convey the opposite meaning. One of the most common antonyms for up-holding is "undermining," which means weakening or sabotaging something's foundation or authority. "Dismantling" is another antonym that suggests taking apart or breaking something down, while "neglecting" means failing to care for or address something's needs. "Abandoning" refers to completely withdrawing support or attention from something, while "opposing" indicates a direct challenge or resistance to up-holding. Overall, these antonyms for up-holding portray various degrees and expressions of disapproval or disregard.