Category:Antitransitive Relations

From ProofWiki
Jump to navigation Jump to search

This category contains results about Antitransitive Relations.

$\RR$ is antitransitive if and only if:

$\tuple {x, y} \in \RR \land \tuple {y, z} \in \RR \implies \tuple {x, z} \notin \RR$

that is:

$\set {\tuple {x, y}, \tuple {y, z} } \subseteq \RR \implies \tuple {x, z} \notin \RR$