KnowraLeast elementLinked fromLinked fromThe 10 pages that link to Least element, each with the reason it gives.All 10Related 6Compared with 4SupremumRelated: The supremum is least among the set’s upper bounds.Well-ordering theoremRelated: Every nonempty subset must contain one for an order to be a well-order.InfimumCompared with: An infimum need not lie in the original set, unlike a least element.Maximal elementCompared with: A least element is globally below all elements, stronger than being minimal.Minimal elementCompared with: Unlike a minimal element, a least element must be comparable with and below the entire set.Paris–Harrington theoremRelated: The required homogeneous-subset size is bounded below by this element.Well-orderRelated: The existence of a least element in every nonempty subset is the defining condition.Kleene fixed-point theoremRelated: Iteration begins here, ensuring the resulting fixed point is least.Infimum and supremumCompared with: Unlike a supremum, a least element must belong to the set being bounded.Join and meetRelated: A least element is the join of the empty subset when the order has one.