ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F10555 on R2074: Isotonicity of inverse image
F10555
Formulation 0
Let $f : X \to Y$ be a D18: Map such that
(i) \begin{equation} E \subseteq F \subseteq Y \end{equation}
Then \begin{equation} f^{-1}(E) \subseteq f^{-1}(F) \end{equation}