Theorems · Theorem · order theory
Set.chainHeight_eq_iSup
∀ {α : Type u_1} (s : Set α) (r : α → α → Prop), s.chainHeight r = ⨆ t, (↑t).encard- Defined in
- Mathlib.Order.Height
- Cited by
- 1 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.
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
- ENatstatement · cited by 4,985
- iSupstatement · cited by 2,415
- Set.encardstatement · cited by 327
- IsChainstatement · cited by 158
- Set.chainHeightstatement · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Set.exists_eq_chainHeight_of_chainHeight_ne_topproof · cited by 1