ClosedIicTopology

(α : Type u_1) → [TopologicalSpace α] → [Preorder α] → Prop

If α is a topological space and a preorder, ClosedIicTopology α means that Iic a is closed for all a : α.

Defined in: Mathlib.Topology.Order.OrderClosed
Cited by: 115 results in Mathlib
Foundations: Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Assumes: TopologicalSpace Preorder

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.