ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4534 on D529: Map inverse image
Formulation 0
Let $f : X \to Y$ be a D18: Map such that
(i) $B \subseteq Y$ is a D78: Subset of $Y$
Then \begin{equation} f^{-1}(B) \subseteq f^{-1}(Y) \end{equation}
Proofs
Proof 0
Let $f : X \to Y$ be a D18: Map such that
(i) $B \subseteq Y$ is a D78: Subset of $Y$
This result is a particular case of R2074: Isotonicity of inverse image. $\square$