Theorems · Theorem · order theory
Set.wellFoundedOn_iff
∀ {α : Type u_2} {r : α → α → Prop} {s : Set α}, s.WellFoundedOn r ↔ WellFounded fun a b => r a b ∧ a ∈ s ∧ b ∈ s- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.preimageproof · cited by 4,946
- Set.Nonemptyproof · cited by 2,627
- RelEmbeddingproof · cited by 281
- Subtype.coe_injectiveproof · cited by 205
- Subrelproof · cited by 53
- Set.WellFoundedOnstatement and proof · cited by 53
- WellFounded.has_minproof · cited by 26
- WellFounded.wellFounded_iff_has_minproof · cited by 5
- RelEmbedding.wellFoundedproof · cited by 4
- Subtype.preimage_coe_nonemptyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Set.WellFoundedOn.monoproof · cited by 2