# Definition:Lower Bound of Set/Real Numbers

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This page is about lower bounds of subsets of the real numbers which are bounded below. For other uses, see Definition: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:

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