Theorems · Theorem · order theory
Set.chainHeight_ne_top_of_finite
∀ {α : Type u_1} (s : Set α) (r : α → α → Prop), s.Finite → s.chainHeight r ≠ ⊤- Defined in
- Mathlib.Order.Height
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Set.Finitestatement and proof · cited by 1,814
- lt_of_le_of_ltproof · cited by 432
- lt_top_iff_ne_topproof · cited by 95
- LT.lt.ne_topproof · cited by 34
- Set.chainHeightstatement · cited by 22
- Set.encard_ne_top_iffproof · cited by 7
- Set.chainHeight_le_encardproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.exists_eq_chainHeight_of_finiteproof · cited by 0