Theorems · Theorem · category theory

CategoryTheory.Functor.OplaxMonoidal.right_unitality_hom_assoc

∀ {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) [inst_4 : F.OplaxMonoidal] (X : C) {Z : D} (h : F.obj X ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Functor.OplaxMonoidal.δ F X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (F.obj X) (CategoryTheory.Functor.OplaxMonoidal.η F))
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor (F.obj X)).hom h)) =
    CategoryTheory.CategoryStruct.comp (F.map (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom) h

Defined in

Mathlib.CategoryTheory.Monoidal.Functor

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.OplaxMonoidal