Theorems · Definition · category theory
CategoryTheory.Pseudofunctor.StrongTrans.homCategory
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] →
{F G : CategoryTheory.Pseudofunctor B C} →
CategoryTheory.Category.{max u₁ w₂, max (max (max u₁ v₁) v₂) w₂} (F ⟶ G)Category structure on the strong transformations between pseudofunctors.
Note that this a scoped instance in the Pseudofunctor.StrongTrans namespace.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Pseudofunctorstatement and proof · cited by 571
- CategoryTheory.Pseudofunctor.StrongTrans.categoryStructstatement · cited by 112
Cited by31
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.postcomposing₂statement · cited by 10
- CategoryTheory.Pseudofunctor.StrongTrans.isoMkstatement · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.homCategory.extstatement · cited by 1
- CategoryTheory.Pseudofunctor.StrongTrans.homCategory.ext_iffstatement · cited by 0
- CategoryTheory.Bicategory.postcomposing₂_map_as_app_toNatTrans_appstatement · cited by 0
- CategoryTheory.Bicategory.postcomposing₂_obj_app_toFunctor_mapstatement · cited by 0
- CategoryTheory.Bicategory.postcomposing₂_obj_app_toFunctor_objstatement · cited by 0
- CategoryTheory.Bicategory.postcomposing₂_obj_naturality_hom_toNatTrans_appstatement · cited by 0
- CategoryTheory.Bicategory.postcomposing₂_obj_naturality_inv_toNatTrans_appstatement · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.associatorstatement · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.rightUnitorstatement · cited by 0
- CategoryTheory.Pseudofunctor.StrongTrans.rightUnitor_hom_as_appstatement · cited by 0