IsLowerSet

{α : Type u_1} → [LE α] → Set α → Prop

A lower set in an order α is a set such that any element less than one of its members is also a member. Also called down-set, downward-closed set.

Defined in: Mathlib.Order.Defs.Unbundled
Cited by: 167 results in Mathlib
Foundations: Depth 4 from the axioms, rests on 9 definitions · uses no axioms
Assumes: LE

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