# Mapping/Bijective/Inverse mapping/Definition

Inverse mapping

Let denote a bijective mapping. Then the mapping

which sends every element
to the uniquely determined element
with
,
is called the * inverse mapping* of .

Inverse mapping

Let ${}F\colon L\rightarrow M$ denote a bijective mapping. Then the mapping

- $G\colon M\longrightarrow L$

which sends every element
${}y\in M$
to the uniquely determined element
${}x\in L$
with
${}F(x)=y$,
is called the * inverse mapping* of ${}F$.