Theorems · Theorem · category theory

CategoryTheory.right_unitality_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {M : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} M]
  [inst_2 : CategoryTheory.MonoidalCategory M] (F : CategoryTheory.Functor M (CategoryTheory.Functor C C)) (n : M)
  (X : C) [inst_3 : F.Monoidal],
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Functor.LaxMonoidal.ε F).app ((F.obj n).obj X))
      (CategoryTheory.CategoryStruct.comp
        ((CategoryTheory.Functor.LaxMonoidal.μ F n (CategoryTheory.MonoidalCategoryStruct.tensorUnit M)).app X)
        ((F.map (CategoryTheory.MonoidalCategoryStruct.rightUnitor n).hom).app X)) =
    CategoryTheory.CategoryStruct.id
      ((CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.Functor C C)).obj ((F.obj n).obj X))

Defined in

Mathlib.CategoryTheory.Monoidal.End

Cited by

1 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.Monoidal