### Topic Page: Theorem

**theorem**from

*The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide*

**theorem**

*The Columbia Encyclopedia*

in mathematics and logic, statement in words or symbols that can be established by means of deductive logic; it differs from an axiom in that a proof is required for its acceptance. A lemma is a theorem that is demonstrated as an intermediate step in the proof of another, more basic theorem. A corollary is a theorem that follows as a direct consequence of another theorem or an axiom. There are many famous theorems in mathematics, often known by the name of their discoverer, e.g., the Pythagorean Theorem, concerning right triangles. One of the most famous problems of number theory was the proof of Fermat's Last Theorem (see Fermat, Pierre de); the theorem states that for an integer n greater than 2 the equation x^{n}+y^{n}=z^{n} admits no solutions where x, y, and z are also integers.

### Related Articles

##### Full text Article theorem

/thiərəm, thee·ərəm/ noun 1 a proposition in mathematics or logic deducible from other more basic propositions. 2 a rule or...

##### Full text Article theorem

A statement derived from premises rather than assumed. In logic, a theorem is a wff A of a formal system S such that A = B n for...

##### Full text Article theorem

1. A universal or general proposition or statement, not self-evident ( compare AXIOM )but demonstrable by argument. 2. A...