Theorems · Theorem · general topology

Iic_mem_nhdsSet_Ioc

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderClosedTopology α] {a b c : α},
  b < c → Set.Iic c ∈ nhdsSet (Set.Ioc a b)

Defined in

Mathlib.Topology.Order.NhdsSet

Cited by

2 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderTopologicalSpaceOrderClosedTopology