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1. That which is considered and established as a principle; hence, sometimes, a rule. not theories, but theorems, the intelligible products of contemplation, intellectual objects in the mind, and of and for the mind exclusively.
2. (math.) a statement of a principle to be demonstrated.
note: a theorem is something to be proved, and is thus distinguished from a problem, which is something to be solved. In analysis, the term is sometimes applied to a rule, especially a rule or statement of relations expressed in a formula or by symbols
1- By the theorems, which your polite and terser gallants practice, I re-refine the court, and civilize their barbarous natures.

2- the binomial theorem; Taylor's theorem.
by Silent Lake October 18, 2007