Trichotomy Law

Disambiguation

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Trichotomy Law may refer to:

• Trichotomy Law (Ordering): An ordering $\preceq$ is a total ordering iff:

$\forall a, b \in S: a \prec b \lor a = b \lor a \succ b$

• Trichotomy Law (Integral Domain): in an ordered integral domain, the positivity property $P$ is such that:

$\forall a \in D: P \left({a}\right) \lor P \left({-a}\right) \lor a = 0_D$