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
Canonical surjective submap
Results
Image of empty set
Image of singleton set
Inclusion of inverse image does not imply inclusion of image
Isotonicity of map image