Mathlib Map

Theorems · Theorem · real analysis

nhdsLT_sup_nhdsGE

∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] (a : α),
  nhdsWithin a (Set.Iio a) ⊔ nhdsWithin a (Set.Ici a) = nhds a
Defined in
Mathlib.Topology.Order.LeftRight
Cited by
4 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceLinearOrder

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.