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 |