Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.homCategory

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          CategoryTheory.Category.{max u₁ w₂, max (max (max u₁ v₁) v₂) w₂} (F ⟶ G)

Category structure on the strong natural transformations between oplax functors. Note that this a scoped instance in the Oplax.StrongTrans namespace.

Defined in

Mathlib.CategoryTheory.Bicategory.Modification.Oplax

Cited by

6 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory