# Category:Image of Union under Mapping

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This category contains pages concerning **Image of Union under Mapping**:

Let $S$ and $T$ be sets.

Let $f: S \to T$ be a mapping.

Let $A$ and $B$ be subsets of $S$.

Then:

- $f \sqbrk {A \cup B} = f \sqbrk A \cup f \sqbrk B$

This can be expressed in the language and notation of direct image mappings as:

- $\forall A, B \in \powerset S: \map {f^\to} {A \cup B} = \map {f^\to} A \cup \map {f^\to} B$

## Pages in category "Image of Union under Mapping"

The following 5 pages are in this category, out of 5 total.