Theorems · Theorem · order theory
Set.partiallyWellOrderedOn_of_wellQuasiOrdered
∀ {α : Type u_2} {r : α → α → Prop}, WellQuasiOrdered r → ∀ (s : Set α), s.PartiallyWellOrderedOn r- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.subset_univproof · cited by 228
- Set.PartiallyWellOrderedOnstatement · cited by 34
- WellQuasiOrderedstatement and proof · cited by 15
- Set.PartiallyWellOrderedOn.monoproof · cited by 4
- Set.partiallyWellOrderedOn_univ_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.isPWO_of_wellQuasiOrderedLEproof · cited by 4