Theorems · Definition · category theory
CategoryTheory.Cat.Hom.toFunctor
{C D : CategoryTheory.Cat} → C.Hom D → CategoryTheory.Functor ↑C ↑DThe Functor underlying a 1-morphism in Cat
- Defined in
- Mathlib.CategoryTheory.Category.Cat
- Cited by
- 531 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 9 definitions · 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.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αstatement · cited by 736
- CategoryTheory.Cat.Homstatement and proof · cited by 9
Cited by658
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.Hom₂.toNatTransstatement · cited by 277
- CategoryTheory.nerveproof · cited by 68
- CategoryTheory.Cat.whiskerLeft_appstatement and proof · cited by 51
- CategoryTheory.Cat.whiskerRight_appstatement and proof · cited by 51
- CategoryTheory.Pseudofunctor.DescentData'.pullHom'statement and proof · cited by 29
- CategoryTheory.Pseudofunctor.DescentData.homstatement · cited by 28
- CategoryTheory.Grothendieck.Hom.fiberstatement · cited by 26
- CategoryTheory.Adjunction.ofCatstatement · cited by 25
- CategoryTheory.Pseudofunctor.LocallyDiscreteOpToCat.pullHomstatement and proof · cited by 23
- CategoryTheory.Limits.fiberwiseColimitstatement and proof · cited by 23
- CategoryTheory.Pseudofunctor.DescentData'.homstatement · cited by 22
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.homstatement · cited by 22
Showing the 200 most cited of 658.