## THEOREM

### Theorem

In mathematics, a**theorem**is a statement that has been proven on the basis of previously established statements, such as other theorems—and generally accepted statements, such as axioms. The proof of a mathematical theorem is a logical argument for the theorem statement given in accord with the rules of a deductive system. The proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally

*deductive*, in contrast to the notion of a scientific theory, which is

*empirical*.

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### theorem

#### Noun

- A mathematical statement of some importance that has been proven to be true. Minor theorems are often called
*propositions*. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called*lemmas* - A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
- a syntactically correct expression that is deducible from the given axioms of a deductive system

#### Verb

- to formulate into a theorem

*The above text is a snippet from Wiktionary: theorem*

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