Theorems · Definition · order theory
RelHom.swap
{α : Type u_1} → {β : Type u_2} → {r : α → α → Prop} → {s : β → β → Prop} → r →r s → Function.swap r →r Function.swap sA relation homomorphism is also a relation homomorphism between dual relations.
- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Function.swapstatement · cited by 216
- RelHomstatement and proof · cited by 49
- RelHom.map_relproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- RelHom.swap_applystatement and proof · cited by 0