▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
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}
Child definitions
» D1079: Canonical surjective submap
Results
» R2075: Image of empty set
» R1131: Image of inverse image
» R347: Isotonicity of map image
» R354: Image of singleton set
» R4536: Map image empty iff underlying set empty
» R4537: Inclusion of inverse image does not imply inclusion of image