# Category:Codomains (Relation Theory)

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This category contains results about **codomains** in the context of **Relation Theory**.

Definitions specific to this category can be found in Definitions/Codomains (Relation Theory).

### Relation

The **codomain** of a relation $\RR \subseteq S \times T$ is $T$.

It can be denoted $\Cdm \RR$.

### Mapping

The term **codomain** is usually seen when the relation in question is actually a mapping:

Let $S$ and $T$ be sets.

Let $f: S \to T$ be a mapping.

The **codomain** of $f$ is $T$.

It is denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ by $\Cdm f$.

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