Theorems · Theorem · order theory
IsAntichain.preimage_relEmbedding
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {r' : β → β → Prop} {t : Set β},
IsAntichain r' t → ∀ (φ : r ↪r r'), IsAntichain r (⇑φ ⁻¹' t)- Defined in
- Mathlib.Order.Antichain
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
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 and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.preimagestatement and proof · cited by 4,946
- RelEmbeddingstatement and proof · cited by 281
- IsAntichainstatement and proof · cited by 105
- RelEmbedding.injectiveproof · cited by 41
- RelEmbedding.map_rel_iffproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- IsAntichain.image_relEmbedding_iffproof · cited by 3
- IsAntichain.preimage_isoproof · cited by 1
- IsAntichain.preimage_embeddingproof · cited by 0
- IsAntichain.preimage_relIsoproof · cited by 0