Antitransitive Relation/Examples

Examples of Antitransitive Relation

Parent

Antitransitive Relation/Examples/Parent

Greater by One

Let $\RR$ denote the relation on the set of real numbers $\R$ defined as:

$x \mathrel \RR y \iff \text {$x$ is greater than $y$ by $1$}$

that is:

$x - y = 1$

Then $\RR$ is an antitransitive relation..