Theorems · Theorem · general topology

nhdsSet_Icc

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderClosedTopology α] {a b : α},
  a ≤ b → nhdsSet (Set.Icc a b) = nhds a ⊔ nhds b ⊔ Filter.principal (Set.Ioo a b)

Defined in

Mathlib.Topology.Order.NhdsSet

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderTopologicalSpaceOrderClosedTopology