Theorems · Theorem · general topology

Ioi_mem_nhdsSet_Ico

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

Defined in

Mathlib.Topology.Order.NhdsSet

Cited by

2 results in Mathlib

Foundations

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

Assumes

LinearOrderTopologicalSpaceOrderClosedTopology