# Category:Diagonal Relation

This category contains results about Diagonal Relation.
Definitions specific to this category can be found in Definitions/Diagonal Relation.

Let $S$ be a set.

The diagonal relation on $S$ is a relation $\Delta_S$ on $S$ such that:

$\Delta_S = \set {\tuple {x, x}: x \in S} \subseteq S \times S$

Alternatively:

$\Delta_S = \set {\tuple {x, y}: x, y \in S: x = y}$

## Pages in category "Diagonal Relation"

The following 4 pages are in this category, out of 4 total.