Antonyms for the phrase "brought pressure to bear up on" could include "released pressure," "alleviated tension," "let off the hook," "relinquished control," or "relinquished influence." Instead of exerting pressure or control over someone or something, these antonyms suggest a more hands-off or laid-back approach. By releasing pressure or tension, one may be able to allow natural processes to take their course, rather than trying to force a particular outcome. Likewise, by relinquishing control or influence, one may allow others or external factors to guide the situation. These antonyms highlight a different approach to problem-solving, emphasizing the importance of patience, trust, and a willingness to let go.