Theorems · Definition · category theory

CategoryTheory.Lax.OplaxTrans.leftUnitor

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.LaxFunctor B C} →
          (η : F ⟶ G) → CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.id F) η ≅ η

Left unitor for the vertical composition of oplax natural transformations.

Defined in

Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Lax

Cited by

2 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory