Category:Definitions/Unbounded Below Real-Valued Functions

This category contains definitions related to Unbounded Below Real-Valued Functions.
Related results can be found in Category:Unbounded Below Real-Valued Functions.

Let $f: S \to \R$ be a real-valued function.

Then $f$ is unbounded below on $S$ if and only if it is not bounded below on $S$:

$\neg \exists L \in \R: \forall x \in S: L \le \map f x$