KnowraMinimal elementLinked fromLinked fromThe 8 pages that link to Minimal element, each with the reason it gives.All 8Related 2Compared with 6Zorn'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.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.