Theorems · Definition · category theory
Preord.ofHom
{X Y : Type u} →
[inst : Preorder X] →
[inst_1 : Preorder Y] → (X →o Y) → ({ carrier := X, str := inst } ⟶ { carrier := Y, str := inst_1 })Typecheck a OrderHom as a morphism in Preord.
- Defined in
- Mathlib.Order.Category.Preord
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement and proof · cited by 934
- Preordstatement · cited by 42
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
Cited by13
Results whose statement or proof uses this declaration.
- Preord.dualproof · cited by 7
- topToPreordproof · cited by 5
- Preord.Iso.mkproof · cited by 3
- topToPreord_mapstatement · cited by 0
- Preord.ofHom_applystatement · cited by 0
- Preord.ofHom_compstatement · cited by 0
- Preord.ofHom_homstatement · cited by 0
- Preord.ofHom_idstatement · cited by 0
- Preord.Iso.mk_homstatement · cited by 0
- Preord.Iso.mk_invstatement · cited by 0
- preordToPartOrdForgetAdjunctionproof · cited by 0
- Preord.dual_mapstatement · cited by 0