Theorems · Theorem · order theory
Set.partiallyWellOrderedOn_univ_iff
∀ {α : Type u_2} {r : α → α → Prop}, Set.univ.PartiallyWellOrderedOn r ↔ WellQuasiOrdered r- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 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.
- Set.univstatement · cited by 3,945
- Set.PartiallyWellOrderedOnstatement · cited by 34
- WellQuasiOrderedstatement · cited by 15
- RelIso.subrelUnivIsoproof · cited by 3
- RelIso.wellQuasiOrdered_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Set.partiallyWellOrderedOn_of_wellQuasiOrderedproof · cited by 1
- Set.isPWO_univ_iffproof · cited by 0