Theorems · Definition · order theory
OrderHom.toFunctor
{X : Type u} → {Y : Type v} → [inst : Preorder X] → [inst_1 : Preorder Y] → (X →o Y) → CategoryTheory.Functor X YAn OrderHom as a functor X ⥤ Y between preorder categories.
- Defined in
- Mathlib.CategoryTheory.Category.Preorder
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 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.
- CategoryTheory.Functorstatement · cited by 16,252
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement and proof · cited by 934
- OrderHom.monotoneproof · cited by 70
- Monotone.functorproof · cited by 66
Cited by7
Results whose statement or proof uses this declaration.
- TopologicalSpace.Opens.mapproof · cited by 645
- OrderHom.equivalenceFunctorproof · cited by 6
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.to_isoproof · cited by 2
- OrderHom.equivFunctorproof · cited by 2
- OrderHom.equivalenceFunctor_counitIso_hom_app_appstatement · cited by 0
- OrderHom.equivalenceFunctor_counitIso_inv_app_appstatement · cited by 0
- OrderHom.equivFunctor_applystatement · cited by 0