Category:Image of Element under Inverse Mapping

This category contains pages concerning Image of Element under Inverse Mapping:

Let $S$ and $T$ be sets.

Let $f: S \to T$ be a mapping such that its inverse $f^{-1}: T \to S$ is also a mapping.

Then:

$\forall x \in S, y \in T: \map f x = y \iff \map {f^{-1} } y = x$