WithBot.sumHomeomorph

(ι : Type u_1) →
  [inst : LinearOrder ι] →
    [inst_1 : TopologicalSpace ι] → [inst_2 : OrderTopology ι] → [OrderBot ι] → WithBot ι ≃ₜ ι ⊕ Unit

If ι has a bot element, then WithBot ι is homeomorphic to ι ⊕ Unit.

Defined in: Mathlib.Topology.Order.WithTop
Cited by: 0 results in Mathlib
Foundations: Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LinearOrder TopologicalSpace OrderTopology OrderBot

Around this declaration

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

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

Results whose statement or proof uses this declaration.

Nothing cites this yet.