Theorems · Theorem · general topology

Ioc_subset_closure_interior

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [DenselyOrdered α] (a b : α),
  Set.Ioc a b ⊆ closure (interior (Set.Ioc a b))

Defined in

Mathlib.Topology.Order.DenselyOrdered

Cited by

2 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopologyDenselyOrdered