The phrase "did battle" refers to engaging in a conflict or competition with an adversary. Some appropriate antonyms for this expression would include "made peace," "agreed," "cooperated," "collaborated," "compromised," or "conciliated." These words suggest a peaceful resolution or a harmonious approach to problem-solving, in contrast to the hostile or competitive stance implied by "did battle". It is important to note that these antonyms may not always be applicable or desirable in every situation, as conflicts can arise and require assertive action. Nonetheless, having a diverse vocabulary of antonyms available can help individuals express themselves more effectively and improve their communication skills.