Theorems · Theorem · order theory
IsAntichain.preimage_iso
∀ {α : Type u_1} {β : Type u_2} [inst : LE α] [inst_1 : LE β] {t : Set β},
IsAntichain (fun x1 x2 => x1 ≤ x2) t → ∀ (φ : α ≃o β), IsAntichain (fun x1 x2 => x1 ≤ x2) (⇑φ ⁻¹' t)- Defined in
- Mathlib.Order.Antichain
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.preimagestatement · cited by 4,946
- OrderIsostatement and proof · cited by 874
- IsAntichainstatement and proof · cited by 105
- RelIso.toRelEmbeddingproof · cited by 34
- IsAntichain.preimage_relEmbeddingproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsAntichain.preimage_iso_iffproof · cited by 0