ThmDex – An index of mathematical definitions, results, and conjectures.
F9816
Formulation 0
Let $P = (\mathbb{R}, {\leq})$ be the D1102: Ordered set of real numbers.
Let $x, y, z \in \mathbb{R}$ each be a D993: Real number such that
(i) \begin{equation} x \leq y \end{equation}
Then \begin{equation} x + z \leq y + z \end{equation}