Theorems · Theorem · general topology

hasBasis_nhdsSet_Iic_Iio

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] (a : α)
  [h : Nonempty ↑(Set.Ioi a)], (nhdsSet (Set.Iic a)).HasBasis (fun x => a < x) Set.Iio

Defined in

Mathlib.Topology.Order.NhdsSet

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderTopologicalSpaceOrderTopologyNonempty