Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whisker_assoc

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

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

31 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory