Source: wikibot/trichotomy-theorem
= Trichotomy theorem
{wiki=Trichotomy_theorem}
The Trichotomy Theorem is a concept typically associated with order relations in mathematics, particularly in the context of ordered sets or fields. It states that for any two elements \\( a \\) and \\( b \\) within a given ordered set, one and only one of the following is true: 1. \\( a \< b \\) (meaning \\( a \\) is less than \\( b \\)) 2.