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.

The preimage of $f$ is defined as:

$\Preimg f := \set {s \in S: \exists t \in T: f \paren s = t}$

That is:

$\Preimg f := f^{-1} \sqbrk T$

where $f^{-1} \sqbrk T$ is the image of $T$ under $f^{-1}$.

In this context, $f^{-1} \subseteq T \times S$ is the the inverse of $f$.

It is a relation but not necessarily itself a mapping.

Subcategories

This category has the following 2 subcategories, out of 2 total.