# theorem

## the·o·rem

*noun*\ˈthē-ə-rəm, ˈthir-əm\

: a formula or statement that can be proved from other formulas or statements

## Full Definition of *THEOREM*

**:**a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions

**:**an idea accepted or proposed as a demonstrable truth often as a part of a general theory

**:**proposition <the

*theorem*that the best defense is offense>

**:**stencil

**:**a painting produced especially on velvet by the use of stencils for each color

**the·o·rem·at·ic**\ˌthē-ə-rə-ˈma-tik, ˌthir-ə-\

*adjective*

## Origin of *THEOREM*

*theorema,*from Greek

*theōrēma,*from

*theōrein*to look at, from

*theōros*spectator, from

*thea*act of seeing — more at theater

## Other Mathematics and Statistics Terms

## Rhymes with *THEOREM*

## theorem

*noun*

*(Concise Encyclopedia)*

In mathematics or logic, a statement whose validity has been established or proved. It consists of a hypothesis and a conclusion, beginning with certain assumptions that are necessary and sufficient to establish a result. A system of theorems that build on and augment each other constitutes a theory. Within any theory, however, only statements that are essential, important, or of special interest are called theorems. Less important statements, usually stepping-stones in proofs of more important results, are called lemmas. A statement proved as a direct consequence of a theorem is a corollary of the theorem. Some theorems (and even lemmas and corollaries) are singled out and given titles (e.g., Gödel's theorem, fundamental theorem of algebra, fundamental theorem of calculus, Pythagorean theorem).

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