Theorems · Theorem · category theory

CategoryTheory.Functor.OplaxMonoidal.oplax_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.OplaxMonoidal] (X : C),
  (CategoryTheory.MonoidalCategoryStruct.rightUnitor (F.obj X)).inv =
    CategoryTheory.CategoryStruct.comp (F.map (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).inv)
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Functor.OplaxMonoidal.δ F X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (F.obj X) (CategoryTheory.Functor.OplaxMonoidal.η F)))

Defined in

Mathlib.CategoryTheory.Monoidal.Functor

Cited by

1 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.Functor.OplaxMonoidal