# Category:Diagonal Relation

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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 the relation $\Delta_S$ on $S$ defined as:

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

Alternatively:

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

## Subcategories

This category has only the following subcategory.

### D

## Pages in category "Diagonal Relation"

The following 16 pages are in this category, out of 16 total.