Category:Definitions/Bounded Above Sequences

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

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

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

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

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