Theorems · Theorem · general topology

nhds_bot_basis

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

Defined in

Mathlib.Topology.Order.Basic

Cited by

6 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceLinearOrderOrderBotOrderTopologyNontrivial