Theorems · Definition · category theory

CategoryTheory.Lax.StrongTrans.categoryStruct

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        CategoryTheory.CategoryStruct.{max (max (max u₁ v₁) v₂) w₂, max (max (max (max (max u₂ u₁) v₂) v₁) w₂) w₁}
          (CategoryTheory.LaxFunctor B C)

CategoryStruct on B ⥤ᴸ C where the (1-)morphisms are given by strong transformations.

Defined in

Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax

Cited by

4 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory