Individual skill
anmath-methods
Use when laying out the proof strategy of a pure-mathematics manuscript for Annals of Mathematics — the architecture of the argument, the key lemmas and propositions, the novel technique, and where the difficulty lies. Designs and exposes the proof plan; does not check final correctness line-by-line (see anmath-referee-strategy).
Annals-of-Mathematics-Skills/skills/anmath-methods/SKILL.md
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# Proof Strategy and Architecture (anmath-methods)
## When to trigger
- The proof is essentially complete but its logical structure is not laid out for a reader
- A referee would not be able to see the plan before drowning in the details
- The key new idea is buried; it is not clear where the real difficulty is overcome
- The argument is monolithic and should be decomposed into named lemmas/propositions
## Architecture-first principle
For an Annals paper, an expert non-specialist should be able to read a **proof overview**
and understand *how* the theorem is proved before verifying *that* it is. The architecture
is part of the contribution.