Theorems · Theorem · category theory
Preord.dual_map
∀ {X Y : Preord} (f : X ⟶ Y), Preord.dual.map f = Preord.ofHom (OrderHom.dual (Preord.Hom.hom f))- Defined in
- Mathlib.Order.Category.Preord
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement · cited by 8,337
- OrderHomstatement · cited by 934
- OrderDualstatement · cited by 927
- OrderHom.dualstatement · cited by 48
- Preordstatement and proof · cited by 42
- Preord.carrierstatement · cited by 35
- Preord.Hom.homstatement · cited by 13
- Preord.ofHomstatement · cited by 9
- Preord.dualstatement and proof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.