Theorems · Theorem · general topology

nhdsGE_basis

∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [NoMaxOrder α] (a : α),
  (nhdsWithin a (Set.Ici a)).HasBasis (fun u => a < u) fun u => Set.Ico a u

Defined in

Mathlib.Topology.Order.Basic

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopologyNoMaxOrder