Individual skill
anmath-writing-style
Use when polishing the prose and rigor of a pure-mathematics manuscript for Annals of Mathematics — eliminating gaps, removing "clearly"/"it is easy to see", precise quantifiers, and consistent mathematical English. Late-stage polish; run only after the proof and architecture are fixed.
Annals-of-Mathematics-Skills/skills/anmath-writing-style/SKILL.md
Source commit 932eb23331721b16e967c59f093781be1928b498
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- Last checked
- Nov 9, 2026
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- Repository last updated
- Sep 27, 2026
- License
- MIT
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# Writing Style and Rigor (anmath-writing-style)
## When to trigger
- The proof is complete and you are tightening the prose
- You wrote "clearly", "obviously", "it is easy to see", or "trivially" and are not certain
- Quantifiers, hypotheses, or "the constant" are stated loosely
- The English is uneven or the register drifts between sections
## The cardinal rule: no hidden gaps
At Annals, an expert referee verifies the proof in detail. A logical gap — especially one
hidden behind softening words — is fatal. Treat every "clearly" as a debt to be paid or
deleted.