Theorems · Definition · category theory
CategoryTheory.Cat
Type (max (u + 1) u (v + 1))
Category of categories.
- Defined in
- Mathlib.CategoryTheory.Category.Cat
- Cited by
- 884 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categoryproof · cited by 32,673
- CategoryTheory.Bundledproof · cited by 42
Cited by1,244
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.Hom.toFunctorstatement and proof · cited by 531
- CategoryTheory.Cat.Hom₂.toNatTransstatement and proof · cited by 277
- CategoryTheory.Cat.ofstatement · cited by 189
- CategoryTheory.Grothendieckstatement · cited by 138
- CategoryTheory.Functor.toCatHomstatement · cited by 124
- CategoryTheory.Grothendieck.basestatement and proof · cited by 80
- CategoryTheory.Pseudofunctor.DescentDatastatement · cited by 74
- CategoryTheory.Grothendieck.fiberstatement and proof · cited by 60
- CategoryTheory.Cat.whiskerLeft_appstatement and proof · cited by 51
- CategoryTheory.Cat.whiskerRight_appstatement and proof · cited by 51
- CategoryTheory.Pseudofunctor.DescentData.objstatement and proof · cited by 44
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebrastatement · cited by 39
Showing the 200 most cited of 1,244.