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theorem.

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.

7 characters2 syllables approx.English language

Meaning & usage

noun/ˈθiː.ə.ɹəm/UK/ˈθɪːɹ(ə)m/British, Southern, Standard/ˈθɪjəɹ(ə)m/British, Southern, Standard/ˈθiərəm/US
  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.

    colloquial · nonstandard
    Fermat's Last Theorem was known thus long before it was proved in the 1990s.
  3. A syntactically correct expression that is deducible from the given axioms of a deductive system.

Where this word comes from

From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōréō, “to look at, view, consider, examine”), from θεωρός (theōrós, “spectator”), from θέα (théa, “a view”) + ὁράω (horáō, “to see, look”). See also theory, and theater.

verb/ˈθiː.ə.ɹəm/UK/ˈθɪːɹ(ə)m/British, Southern, Standard/ˈθɪjəɹ(ə)m/British, Southern, Standard/ˈθiərəm/US
  1. To formulate into a theorem.

    transitive
Where this word comes from

From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōréō, “to look at, view, consider, examine”), from θεωρός (theōrós, “spectator”), from θέα (théa, “a view”) + ὁράω (horáō, “to see, look”). See also theory, and theater.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.