Theorems · Definition · category theory
CategoryTheory.typeToCat
CategoryTheory.Functor (Type u) CategoryTheory.Cat
Embedding Type into Cat as discrete categories.
This ought to be modelled as a 2-functor!
- Defined in
- Mathlib.CategoryTheory.Category.Cat
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Discreteproof · cited by 2,447
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Discrete.functorproof · cited by 633
- CategoryTheory.Cat.ofproof · cited by 189
- CategoryTheory.Functor.toCatHomproof · cited by 124
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.Grothendieck.grothendieckTypeToCatstatement and proof · cited by 12
- CategoryTheory.Grothendieck.grothendieckTypeToCatFunctorstatement and proof · cited by 9
- CategoryTheory.Grothendieck.grothendieckTypeToCatInversestatement · cited by 9
- CategoryTheory.Cat.connectedComponentsTypeToCatAdjstatement and proof · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatFunctor_map_coestatement and proof · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatFunctor_obj_fststatement and proof · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatFunctor_obj_sndstatement and proof · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatInverse_map_basestatement · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatInverse_obj_basestatement · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCatInverse_obj_fiber_asstatement · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCat_counitIso_hom_app_coestatement · cited by 0
- CategoryTheory.Grothendieck.grothendieckTypeToCat_counitIso_inv_app_coestatement · cited by 0