Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.rightActionOfMonoidalOppositeLeftAction

(C : Type u_1) →
  (D : Type u_2) →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.MonoidalCategory C] →
        [inst_2 : CategoryTheory.Category.{v_2, u_2} D] →
          [CategoryTheory.MonoidalCategory.MonoidalLeftAction Cᴹᵒᵖ D] →
            CategoryTheory.MonoidalCategory.MonoidalRightAction C D

Define a right action of C on D from a left action of Cᴹᵒᵖ on D via the formula d ⊙ᵣ c := (mop c) ⊙ₗ d.

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Opposites

Cited by

6 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftAction