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.