Category:Definitions/Bounded Mappings
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This category contains definitions related to Bounded Mappings.
Related results can be found in Category:Bounded Mappings.
Let $S$ be a set.
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 "Definitions/Bounded Mappings"
The following 5 pages are in this category, out of 5 total.