ThmDex – An index of mathematical definitions, results, and conjectures.
F9894
Formulation 0
Let $t \mapsto e^x$ be the D1932: Standard natural real exponential function.
Let $x, y \in \mathbb{R}$ each a D993: Real number such that
(i) \begin{equation} x < y \end{equation}
Then \begin{equation} e^x < e^y \end{equation}