Definition:Preimage/Mapping

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

Let $f^{-1} \subseteq T \times S$ be the inverse of $f$, considered as a relation:


 * $f^{-1} = \set {\tuple {t, s}: \map f s = t}$

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

Also see

 * Definition:Preimage under Relation


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


 * Definition:Image of Mapping