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}
▼ | Set of symbols |
▼ | Alphabet |
▼ | Deduction system |
▼ | Theory |
▼ | Zermelo-Fraenkel set theory |
▼ | Set |
▼ | Binary cartesian set product |
▼ | Binary relation |
▼ | Map |
▶ | D1079: Canonical surjective submap |
▶ | 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 |