Theorems · Theorem · general topology

nhds_top_basis_Ici

∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [inst_2 : OrderTop α] [OrderTopology α]
  [Nontrivial α] [DenselyOrdered α], (nhds ⊤).HasBasis (fun a => a < ⊤) Set.Ici

Defined in

Mathlib.Topology.Order.Basic

Cited by

1 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopOrderTopologyNontrivialDenselyOrdered