Theorems · Definition · category theory
CategoryTheory.Cat.of
(C : Type u) → [CategoryTheory.Category.{v, u} C] → CategoryTheory.CatConstruct a bundled Cat from the underlying type and the typeclass.
- Defined in
- Mathlib.CategoryTheory.Category.Cat
- Cited by
- 189 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 34 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bundled.ofproof · cited by 6
Cited by240
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.toCatHomstatement · cited by 124
- CategoryTheory.CostructuredArrow.functorproof · cited by 30
- CategoryTheory.Bicategory.yoneda₀proof · cited by 27
- CategoryTheory.Bicategory.precomposingCatstatement · cited by 24
- CategoryTheory.typeToCatproof · cited by 20
- CategoryTheory.NatTrans.toCatHom₂statement · cited by 18
- CategoryTheory.Bicategory.postcomposingCatstatement · cited by 18
- CategoryTheory.Cat.Hom.isoMkstatement · cited by 16
- CategoryTheory.Cat.asSmallFunctorproof · cited by 15
- CategoryTheory.Adjunction.toCatstatement · cited by 14
- AlgebraicGeometry.Scheme.Modules.pseudofunctorproof · cited by 12
- CategoryTheory.GrothendieckTopology.pseudofunctorOverproof · cited by 11
Showing the 200 most cited of 240.