Theorems · Theorem · logic and foundations
Ordinal.isOpen_singleton_iff
Deprecated since 2026-01-20Use SuccOrder.isOpen_singleton_iff instead.
∀ {a : Ordinal.{u}}, IsOpen {a} ↔ ¬Order.IsSuccLimit a- Defined in
- Mathlib.SetTheory.Ordinal.Topology
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- IsOpenstatement · cited by 2,400
- Ordinalstatement and proof · cited by 1,688
- Order.IsSuccLimitstatement · cited by 255
- SuccOrder.isOpen_singleton_iffproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.