Theorems · Theorem · general topology

nhdsGT_basis

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [NoMaxOrder α] (a : α),
  (nhdsWithin a (Set.Ioi a)).HasBasis (fun x => a < x) (Set.Ioo a)

Defined in

Mathlib.Topology.Order.LeftRightNhds

Cited by

8 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceLinearOrderOrderTopologyNoMaxOrder