Theorems · Theorem · general topology

exists_Ico_subset_of_mem_nhds

∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] {a : α} {s : Set α},
  s ∈ nhds a → (∃ l, a < l) → ∃ l, a < l ∧ Set.Ico a l ⊆ s

Defined in

Mathlib.Topology.Order.Basic

Cited by

7 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderTopology