ThmDex – An index of mathematical definitions, results, and conjectures.
Standard natural basic real logarithm function is strictly isotone
Formulation 0
Let $t \mapsto \log t$ be the D865: Standard natural real logarithm function.
Let $x, y \in (0, \infty)$ each a D5407: Positive real number such that
(i) \begin{equation} x < y \end{equation}
Then \begin{equation} \log x < \log y \end{equation}