Theorems · Theorem · general topology

frontier_Ioo

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [DenselyOrdered α] {a b : α},
  a < b → frontier (Set.Ioo a b) = {a, b}

Defined in

Mathlib.Topology.Order.DenselyOrdered

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceLinearOrderOrderTopologyDenselyOrdered