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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.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Pseudo
Cited by
24 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Bicategory.postcomposing₂ · cited by 10Bicategory.postcomposing₂CategoryTheory.Pseudofunctor.StrongTrans.isoMk · cited by 3StrongTrans.isoMkCategoryTheory.Pseudofunctor.StrongTrans.homCategory.ext · cited by 1homCategory.extCategoryTheory.Pseudofunctor.StrongTrans.homCategory.ext_iff · cited by 0homCategory.ext_iffCategoryTheory.Bicategory.postcomposing₂_map_as_app_toNatTrans_app · cited by 0Bicategory.postcomposing₂…CategoryTheory.Bicategory.postcomposing₂_obj_app_toFunctor_map · cited by 0Bicategory.postcomposing₂…CategoryTheory.Bicategory.postcomposing₂_obj_app_toFunctor_obj · cited by 0Bicategory.postcomposing₂…CategoryTheory.Bicategory.postcomposing₂_obj_naturality_hom_toNatTrans_app · cited by 0Bicategory.postcomposing₂…CategoryTheory.Bicategory.postcomposing₂_obj_naturality_inv_toNatTrans_app · cited by 0Bicategory.postcomposing₂…CategoryTheory.Pseudofunctor.StrongTrans.associator · cited by 0StrongTrans.associatorCategoryTheory.Pseudofunctor.StrongTrans.rightUnitor · cited by 0StrongTrans.rightUnitorCategoryTheory.Pseudofunctor.StrongTrans.rightUnitor_hom_as_app · cited by 0StrongTrans.rightUnitor_h…CategoryTheory.Pseudofunctor.StrongTrans.rightUnitor_inv_as_app · cited by 0StrongTrans.rightUnitor_i…CategoryTheory.Pseudofunctor.StrongTrans.associator_hom_as_app · cited by 0StrongTrans.associator_ho…CategoryTheory.Pseudofunctor.StrongTrans.associator_inv_as_app · cited by 0StrongTrans.associator_in…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Pseudofunctor · cited by 571CategoryTheory.Pseudofunc…CategoryTheory.Pseudofunctor.StrongTrans.categoryStruct · cited by 112StrongTrans.categoryStructStrongTrans.homCategoryCITED BYCITES

Cites5

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Cited by31

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