after a heated discussion; after much debate
Used when a conclusion or action follows a thorough, often intense, discussion. The phrase emphasizes that the outcome was reached after considerable argument or deliberation.
After a heated discussion, the new policy was decided.
After much debate, they decided to cancel the plan.
Focuses on careful examination or consideration, not necessarily involving debate or argument.
Compound of 議論 (discussion, debate) + の (possessive particle) + 末 (end, outcome) + に (adverbial particle). Literally 'at the end of discussion', it has become a set phrase meaning 'after a heated discussion'.