Definition:Bounded Below Sequence/Unbounded

From ProofWiki
Jump to navigation Jump to search

This page is about Unbounded Below Sequence. For other uses, see Unbounded Below.

Definition

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

Let $\sequence {x_n}$ be a sequence in $T$.


$\sequence {x_n}$ is unbounded below if and only if there exists no $m$ in $T$ such that:

$\forall i \in \N: m \preceq x_i$