# Definition:Lower Bound of Set/Real Numbers

This page is about Lower Bound of Subset of Real Numbers. For other uses, see Lower Bound.

## Definition

Let $\R$ be the set of real numbers.

Let $T$ be a subset of $S$.

A lower bound for $T$ (in $\R$) is an element $m \in \R$ such that:

$\forall t \in T: m \le t$