Category:Definitions/Bounded Below Sequences

This category contains definitions related to Bounded Below Sequences.
Related results can be found in Category:Bounded Below Sequences.

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

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

Then $\sequence {x_n}$ is bounded below if and only if:

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