Theorems · Theorem · category theory

CategoryTheory.Functor.CoreMonoidal.right_unitality

∀ {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.MonoidalCategory D]
  {F : CategoryTheory.Functor C D} (self : F.CoreMonoidal) (X : C),
  (CategoryTheory.MonoidalCategoryStruct.rightUnitor (F.obj X)).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (F.obj X) self.εIso.hom)
      (CategoryTheory.CategoryStruct.comp (self.μIso X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom
        (F.map (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom))

Defined in

Mathlib.CategoryTheory.Monoidal.Functor

Cited by

1 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory