# Category:Preimages

This category contains results about Preimage in the context of Set Theory.
Definitions specific to this category can be found in Definitions/Preimages.

Let $Y \subseteq T$.

The preimage of $Y$ under $f$ is defined as:

$f^{-1} \sqbrk Y := \set {s \in S: \exists t \in Y: \map f s = t}$

That is, the preimage of $Y$ under $f$ is the image of $Y$ under $f^{-1}$, where $f^{-1}$ can be considered as a relation.

## Subcategories

This category has the following 4 subcategories, out of 4 total.