Individual skill

anmath-results-framing

Use when stating the main theorem(s) of a pure-mathematics manuscript precisely, establishing their significance, and positioning them against prior work for an Annals of Mathematics submission. Crafts statements and positioning; does not write the proof (see anmath-methods).

Annals-of-Mathematics-Skills/skills/anmath-results-framing/SKILL.md

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# Stating the Main Theorem(s) (anmath-results-framing)

## When to trigger

- Your main result is described in a paragraph but not stated as a precise theorem
- The introduction does not make the significance unmistakable in the first page
- Readers cannot tell which statement is the headline and which are corollaries
- You have not located your theorem relative to the prior state of the art

## How to state the main theorem

A reader should be able to find the precise main theorem on or near the first page and
understand exactly what is claimed without reading the proof.
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