AMS: More AMS Enunciations #43
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The AMS style guide (ch. 4, sec. 1) specifies 4 types of enunciation styles: theorems, proofs, definitions, and remarks
I have added conjecture, corollary, lemma, proposition, definition, remark, and notation. As well as 4 functions to generate enunciations with arbitrary supplements for each of the 4 styles.
I felt these were the most common enunciations, but there are many more listed in the style guide.