Theorems · Theorem · general topology

IsMax.of_disjoint_nhds_Ioi

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [DenselyOrdered α] {x : α}
  {u : Set α}, u ∈ nhds x → Disjoint u (Set.Ioi x) → IsMax x

Defined in

Mathlib.Topology.Order.DenselyOrdered

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopologyDenselyOrdered