Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.tensor_whiskerLeft_symm

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

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory