Linked from

The 8 pages that link to Minimal element, each with the reason it gives.

• Well-founded relationRelated: Minimality is evaluated inside each subset, not only across the whole domain.

• Zorn's lemmaCompared with: Reversing the order turns Zorn's maximal-element conclusion into a minimal-element conclusion.

• Least elementCompared with: Minimality does not require being below incomparable elements.

• Hasse diagramRelated: Minimal elements appear at the bottom boundary, though several may occur.

• Maximal elementCompared with: It reverses the direction of the defining comparison.

• Well-orderCompared with: Well-ordering requires a least element, stronger than merely having a minimal one.

• Greatest element and least elementCompared with: A minimal element need not lie below incomparable elements, unlike a least element.

• Join and meetCompared with: A minimal lower bound need not be greatest, so it need not be a meet.