Theorems · Definition · category theory

CategoryTheory.Lax.LaxTrans.homCategory

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

Category structure on the lax natural transformations between lax functors. Note that this is a scoped instance in the Lax.LaxTrans namespace.

Defined in

Mathlib.CategoryTheory.Bicategory.Modification.Lax

Cited by

22 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory