Definition:Preimage/Relation

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

Let $\RR^{-1} \subseteq T \times S$ be the inverse relation to $\RR$, defined as:


 * $\RR^{-1} = \set {\tuple {t, s}: \tuple {s, t} \in \RR}$

Also known as
A preimage is also known as an inverse image.

Also see

 * Definition:Preimage under Mapping


 * Definition:Domain (Set Theory)
 * Definition:Codomain (Set Theory)
 * Definition:Range of Relation
 * Definition:Image of Relation