Category:Reflexive and Symmetric Relation is not necessarily Transitive

Let $S$ be a set.

Let $\alpha \subseteq S \times S$ be a relation on $S$.

Let $\alpha$ be both reflexive and symmetric.

Then it is not necessarily the case that $\alpha$ is also transitive.

Pages in category "Reflexive and Symmetric Relation is not necessarily Transitive"

The following 3 pages are in this category, out of 3 total.