theorem

theorem
    n 1: a proposition deducible from basic postulates
    2: an idea accepted as a demonstrable truth
    

Theorem \The"o*rem\, n. [L. theorema, Gr. ? a sight,
   speculation, theory, theorem, fr. ? to look at, ? a
   spectator: cf. F. th['e]or[`e]me. See {Theory}.]
   1. That which is considered and established as a principle;
      hence, sometimes, a rule.
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            Not theories, but theorems (?), the intelligible
            products of contemplation, intellectual objects in
            the mind, and of and for the mind exclusively.
                                                  --Coleridge.
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            By the theorems,
            Which your polite and terser gallants practice,
            I re-refine the court, and civilize
            Their barbarous natures.              --Massinger.
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   2. (Math.) A statement of a principle to be demonstrated.
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   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; as, the binomial
         theorem; Taylor's theorem. See the Note under
         {Proposition}, n., 5.
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   {Binomial theorem}. (Math.) See under {Binomial}.

   {Negative theorem}, a theorem which expresses the
      impossibility of any assertion.

   {Particular theorem} (Math.), a theorem which extends only to
      a particular quantity.

   {Theorem of Pappus}. (Math.) See {Centrobaric method}, under
      {Centrobaric}.

   {Universal theorem} (Math.), a theorem which extends to any
      quantity without restriction.
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Theorem \The"o*rem\, v. t.
   To formulate into a theorem.
   [1913 Webster] Theorematic
    

53 Moby Thesaurus words for "theorem":
      a priori principle, a priori truth, affirmation, apriorism,
      assertion, assumed position, assumption, axiom, basis, brocard,
      categorical proposition, conjecture, data, deduction, dictate,
      dictum, first principles, formula, foundation, fundamental,
      golden rule, ground, hypothesis, hypothesis ad hoc, law, lemma,
      major premise, minor premise, philosopheme,
      philosophical proposition, position, postulate, postulation,
      postulatum, premise, presupposition, principium, principle,
      proposition, propositional function, rule, self-evident truth,
      settled principle, statement, sumption, supposal, thesis, truism,
      truth, truth table, truth-function, truth-value, universal truth