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Lemma vs Theorem - What's the difference?

lemma | theorem |

Theorem is a synonym of lemma.



In mathematics terms the difference between lemma and theorem

is that lemma is a proposition proved or accepted for immediate use in the proof of some other proposition while theorem is 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

As a verb theorem is

to formulate into a theorem.

lemma

English

(wikipedia lemma)

Noun

(en-noun)
  • (mathematics) A proposition proved or accepted for immediate use in the proof of some other proposition.
  • (linguistics, usually) The canonical form of an inflected word; ie the form usually found in dictionaries.
  • (linguistics, less frequently) A lexeme; all the inflected forms of a term.
  • (botany) One of the specialized bracts around the floret in grasses.
  • Synonyms

    * (linguistics: canonical form of a term) citation form

    See also

    * basic form * canonical form * citation form * dictionary form * headword

    theorem

    English

    Noun

    (en noun)
  • (mathematics) 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
  • (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
  • (logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
  • Synonyms

    * (proven statement): lemma, proposition, statement * (unproven statement): conjecture * See also

    Holonyms

    * theory

    Derived terms

    * central limit theorem * Pythagorean theorem * binomial theorem * * intercept theorem

    Verb

    (en verb)
  • to formulate into a theorem