# Category:Bounded Mappings

This category contains results about Bounded Mappings.

Let $\struct {T, \preceq}$ be an ordered set.

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

Let the image of $f$ be bounded.

Then $f$ is bounded.

That is, $f$ is bounded if and only if it is both bounded above and bounded below.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Bounded Mappings"

This category contains only the following page.