---
name: activates-when-asked
description: Solve competition mathematics problems with rigorous proofs. Activates when asked to 'solve this IMO problem', 'prove this olympiad inequality', or 'find all functions satisfying'.
---

# Olympiad solving

Work the problem on paper first: restate what is given, list candidate techniques, and only then commit to a proof. Every step must be justified; a proof that skips a case is not a proof.