Theorems · Theorem · order theory
Set.chainHeight_coe_univ
∀ {α : Type u_1} (s : Set α) (r : α → α → Prop), (Set.univ.chainHeight fun x1 x2 => r ↑x1 ↑x2) = s.chainHeight r- Defined in
- Mathlib.Order.Height
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- ENatstatement · cited by 4,985
- Set.univstatement and proof · cited by 3,945
- Set.image_congrproof · cited by 533
- Set.image_univproof · cited by 322
- Subtype.range_coe_subtypeproof · cited by 170
- Order.Preimageproof · cited by 42
- Set.chainHeightstatement and proof · cited by 22
- Set.chainHeight_eq_of_relEmbeddingproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Set.chainHeight_coe_univ_leproof · cited by 0
- Set.chainHeight_coe_univ_ltproof · cited by 0