Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whisker_exchange

∀ {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),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft W g)
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Y)
      (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X g)

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

36 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory