Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.actionAssocNatIso

(C : Type u_1) →
  (D : Type u_2) →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          [inst_3 : CategoryTheory.MonoidalCategory.MonoidalRightAction C D] →
            CategoryTheory.bifunctorComp₁₂ (CategoryTheory.MonoidalCategory.curriedTensor C)
                (CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction C D) ≅
              (CategoryTheory.bifunctorComp₂₃ (CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction C D)
                  (CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction C D)).flip

Bundle αᵣ _ _ _ as an isomorphism of trifunctors.

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory.MonoidalRightAction