Chain in a partial order
= Chain in a partial order
A subset of a <partially ordered set> on which the inherited order is total. The upper-bound hypothesis in <Zorn lemma> concerns all such subsets, not just countable increasing sequences.
= Chain in a partial order
A subset of a <partially ordered set> on which the inherited order is total. The upper-bound hypothesis in <Zorn lemma> concerns all such subsets, not just countable increasing sequences.