THEOREM

Theorem

In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theoremsâ€”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.

The above text is a snippet from Wikipedia: Theorem

theorem

Noun

1. 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
2. A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
3. a syntactically correct expression that is deducible from the given axioms of a deductive system

Verb

1. to formulate into a theorem

The above text is a snippet from Wiktionary: theorem