Theorems · Theorem · order theory
IsAntichain.image_embedding
∀ {α : Type u_1} {β : Type u_2} {s : Set α} [inst : LE α] [inst_1 : LE β],
IsAntichain (fun x1 x2 => x1 ≤ x2) s → ∀ (φ : α ↪o β), IsAntichain (fun x1 x2 => x1 ≤ x2) (⇑φ '' s)- Defined in
- Mathlib.Order.Antichain
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
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.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- OrderEmbeddingstatement and proof · cited by 619
- IsAntichainstatement and proof · cited by 105
- IsAntichain.image_relEmbeddingproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsAntichain.image_complproof · cited by 0