Theorems · Theorem · general topology

frontier_Icc

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

Defined in

Mathlib.Topology.Order.DenselyOrdered

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopologyDenselyOrderedNoMinOrderNoMaxOrder