ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9738 on R347: Isotonicity of map image
F9738
Formulation 1
Let $f : X \to Y$ be a D18: Map.
Let $E, F \subseteq X$ each be a D78: Subset of $X$ such that
(i) \begin{equation} E \subseteq F \end{equation}
Then \begin{equation} f(E) \subseteq f(E) \end{equation}