ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
Definition D528
Map image
Formulation 0
Let $f : X \to Y$ be a D18: Map.
The image of $E \subseteq X$ with respect to $f$ is the D11: Set \begin{equation} f(E) : = \{ f(x) : x \in E \} \end{equation}
Children
▶ D1079: Canonical surjective submap
Results
▶ R2075: Image of empty set
▶ R354: Image of singleton set
▶ R4537: Inclusion of inverse image does not imply inclusion of image
▶ R347: Isotonicity of map image