Difference between revisions of "Theorem"
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| − | A '''theorem''' is a demonstrated result of a set of [[axiom]]s. | + | A '''theorem''' is a demonstrated result of a set of [[axiom]]s. Theorems may also be known as [[lemma|lemmas]], if they are intended to be used as part of the proof of another theorem; or they may be known as [[corollary|corollaries]], if they are an immediate consequence of some other theorem. |
[[Mathematics]] is in large part the process of proving new theorems. | [[Mathematics]] is in large part the process of proving new theorems. | ||
== See also == | == See also == | ||
| − | * [[ | + | * [[AoPS Wiki:Table of Contents|Table of Contents]] |
* [[Proof writing]] | * [[Proof writing]] | ||
[[Category:Definition]] [[Category:Mathematics]] [[Category:Proofs]] | [[Category:Definition]] [[Category:Mathematics]] [[Category:Proofs]] | ||
Latest revision as of 15:52, 13 January 2025
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A theorem is a demonstrated result of a set of axioms. Theorems may also be known as lemmas, if they are intended to be used as part of the proof of another theorem; or they may be known as corollaries, if they are an immediate consequence of some other theorem.
Mathematics is in large part the process of proving new theorems.
