Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whiskerRight_tensor

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X X' : C}
  (f : X ⟶ X') (Y Z : C),
  CategoryTheory.MonoidalCategoryStruct.whiskerRight f (CategoryTheory.MonoidalCategoryStruct.tensorObj Y Z) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator X Y Z).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerRight (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Y) Z)
        (CategoryTheory.MonoidalCategoryStruct.associator X' Y Z).hom)

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

37 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory