Theorems · Theorem · category theory

CategoryTheory.Monoidal.transportStruct_leftUnitor

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] (e : C ≌ D) (X : D),
  CategoryTheory.MonoidalCategoryStruct.leftUnitor X =
    e.functor.mapIso
        (CategoryTheory.MonoidalCategory.whiskerRightIso
            (e.unitIso.app (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).symm (e.inverse.obj X) ≪≫
          CategoryTheory.MonoidalCategoryStruct.leftUnitor (e.inverse.obj X)) ≪≫
      e.counitIso.app X

Defined in

Mathlib.CategoryTheory.Monoidal.Transport

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Category