tételének

Tételének is a Hungarian grammatical form derived from the noun tétel, which has several broad meanings, including an item in a list, a mathematical proposition or theorem, a clause or provision in a document, or a musical movement. The sequence tételének is specifically the third-person singular possessive form combined with a dative-like ending, used to convey “the theorem’s” or “to the theorem” depending on the sentence.

In practice, tételének appears in phrases where the noun tétel is possessed by another noun or is treated within a dative or related construction. The most common mathematical use is to refer to the theorem in constructions such as a tételének bizonyítása, which is typically translated as “the proof of the theorem.” Other accompanying forms may express the theorem’s formulation, evaluation, or refinement, for example a tételének megfogalmazása or a tételének értékelése, though the exact sense can vary with context.

The word tétel itself carries broad applicability beyond mathematics, including itemized points in a list, contractual clauses, or movements in music, each of which can generate its own possessive form in the genitive/dative-like constructions of Hungarian grammar when referring to a specific, previously mentioned entity.

Etymology traces tétel to a native Hungarian root with sense related to “thing set forth” or “statement,” with the possessive-dative form tételének arising from standard Hungarian suffixation rules. The exact nuance of tételének is thus determined by the surrounding text and the intended relationship between the possessed item and its possessor.