Theorems · Theorem · category theory

CategoryTheory.Monoidal.InducingFunctorData.rightUnitor_eq

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategoryStruct D]
  {F : CategoryTheory.Functor D C} (self : CategoryTheory.Monoidal.InducingFunctorData F) (X : D),
  F.map (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom =
    (((self.μIso X (CategoryTheory.MonoidalCategoryStruct.tensorUnit D)).symm ≪≫
          CategoryTheory.MonoidalCategory.tensorIso (CategoryTheory.Iso.refl (F.obj X)) self.εIso.symm) ≪≫
        CategoryTheory.MonoidalCategoryStruct.rightUnitor (F.obj X)).hom

Defined in

Mathlib.CategoryTheory.Monoidal.Transport

Cited by

0 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryStruct