Definition:Preimage/Relation

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

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


 * $\mathcal R^{-1} = \left\{{\left({t, s}\right): \left({s, t}\right) \in \mathcal R}\right\}$

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

Also see

 * Preimage of a Mapping


 * Domain
 * Codomain
 * Range


 * Image