Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionActionOfMonoidalFunctorToEndofunctorMopIso_inv_app_unmop_app

∀ {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]
  (F : CategoryTheory.Functor C (CategoryTheory.Functor D D)ᴹᵒᵖ) [inst_3 : F.Monoidal] (X : C) (X_1 : D),
  ((CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionActionOfMonoidalFunctorToEndofunctorMopIso
                  F).inv.app
            X).unmop.app
      X_1 =
    CategoryTheory.CategoryStruct.id ((F.obj X).unmop.obj X_1)

Defined in

Mathlib.CategoryTheory.Monoidal.Action.End

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.Functor.Monoidal