Theorems · Theorem · category theory

CategoryTheory.tensorRightHomEquiv_naturality

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y Y' Z Z' : C} [inst_2 : CategoryTheory.ExactPairing Y Y']
  (f : CategoryTheory.MonoidalCategoryStruct.tensorObj X Y ⟶ Z) (g : Z ⟶ Z'),
  (CategoryTheory.tensorRightHomEquiv X Y Y' Z') (CategoryTheory.CategoryStruct.comp f g) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.tensorRightHomEquiv X Y Y' Z) f)
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight g Y')

Defined in

Mathlib.CategoryTheory.Monoidal.Rigid.Basic

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ExactPairing