Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.tensor_whiskerLeft

∀ {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 (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y) f =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator X Y Z).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X (CategoryTheory.MonoidalCategoryStruct.whiskerLeft Y f))
        (CategoryTheory.MonoidalCategoryStruct.associator X Y Z').inv)

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

37 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory