Theorems · Definition · order theory
Set.chainHeight
{α : Type u_1} → Set α → (α → α → Prop) → ℕ∞The maximal length of a chain in a set s with relation r.
- Defined in
- Mathlib.Order.Height
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 90 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 and proof · cited by 53,352
- ENatstatement · cited by 4,985
- iSupproof · cited by 2,415
- Set.encardproof · cited by 327
- IsChainproof · cited by 158
Cited by22
Results whose statement or proof uses this declaration.
- Set.encard_le_chainHeight_of_isChainstatement · cited by 6
- Set.exists_isChain_of_le_chainHeightstatement and proof · cited by 4
- Set.chainHeight_coe_univstatement and proof · cited by 2
- Set.chainHeight_eq_of_relEmbeddingstatement and proof · cited by 2
- Set.chainHeight_eq_zero_iffstatement and proof · cited by 2
- Set.chainHeight_le_encardstatement · cited by 2
- Set.exists_eq_chainHeight_of_chainHeight_ne_topstatement and proof · cited by 1
- Set.chainHeight_emptystatement · cited by 1
- Set.chainHeight_eq_iSupstatement · cited by 1
- Set.chainHeight_ne_top_of_finitestatement · cited by 1
- Set.not_isChain_of_chainHeight_lt_encardstatement and proof · cited by 1
- Set.chainHeight_coe_univ_lestatement and proof · cited by 0