Real Additive Inverses
Why
What is the additive inverse for reals.
Main result
Let $R \in \R $.
The set $\Set{-r}{r \in R \text{ and } s
\not\in R}$ is an additive inverse of $R$ in
$\R $.
Notation
We denote the additive inverse of $R \in \R $
by $-R$.