Category:Image of Union of Nest of Mappings is Union of Class of Images

This category contains pages concerning Image of Union of Nest of Mappings is Union of Class of Images:

Let $N$ be a nest of mappings.

Let $\bigcup N$ denote the union of $N$.

Then:

$\Img {\bigcup N} = \ds \bigcup_{f \mathop \in N} \Img f$

where $\Img f$ denotes the image of $f$.