Category:Bounded Above Sequences

This category contains results about Bounded Above Sequences.
Definitions specific to this category can be found in Definitions/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:

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