Theorems · Theorem · general topology

Iic_mem_nhdsSet_Iic_iff

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] {a b : α}
  [(nhdsWithin b (Set.Ioi b)).NeBot], Set.Iic a ∈ nhdsSet (Set.Iic b) ↔ b < a

Defined in

Mathlib.Topology.Order.NhdsSet

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderTopologicalSpaceOrderTopologyFilter.NeBot