Definition:Image (Relation Theory)/Relation/Relation

Definition
Let $\RR \subseteq S \times T$ be a relation.

The image of $\RR$ is the set:


 * $\Img \RR := \RR \sqbrk S = \set {t \in T: \exists s \in S: \tuple {s, t} \in \RR}$

Class Theory
In the context of class theory, the definition follows the same lines:

Also see

 * Definition:Mapping, in which the context of an image is usually encountered.


 * Definition:Domain of Relation
 * Definition:Codomain of Relation
 * Definition:Range of Relation


 * Definition:Preimage of Relation (also known as Definition:Inverse Image)