Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whisker_exchange_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {W X Y Z : C}
  (f : W ⟶ X) (g : Y ⟶ Z) {Z_1 : C} (h : CategoryTheory.MonoidalCategoryStruct.tensorObj X Z ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft W g)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z) h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Y)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X g) h)

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

27 results in Mathlib

Foundations

Depth 8 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory