Theorems · Theorem · order theory
Set.chainHeight_eq_of_relEmbedding
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {r' : β → β → Prop} (s : Set α) (e : r ↪r r'),
(⇑e '' s).chainHeight r' = s.chainHeight r- Defined in
- Mathlib.Order.Height
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- ENatstatement and proof · cited by 4,985
- Set.preimageproof · cited by 4,946
- Set.encardproof · cited by 327
- RelEmbeddingstatement and proof · cited by 281
- Function.Injective.injOnproof · cited by 280
- IsChainproof · cited by 158
- RelEmbedding.injectiveproof · cited by 41
- Set.chainHeightstatement and proof · cited by 22
- Function.Injective.encard_imageproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- Set.chainHeight_coe_univproof · cited by 2
- Set.chainHeight_eq_of_relIsoproof · cited by 0