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Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMop

(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 C D] →
            CategoryTheory.Functor C (CategoryTheory.Functor D D)ᴹᵒᵖ

A variant of CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedAction that takes value in the monoidal opposite of D ⥤ D.

Defined in
Mathlib.CategoryTheory.Monoidal.Action.End
Cited by
9 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftAction

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionActionOfMonoidalFunctorToEndofunctorMopIso · cited by 2MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMop_map_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMop_obj_unmop_map · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMop_obj_unmop_obj · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionActionOfMonoidalFunctorToEndofunctorMopIso_hom_app_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionActionOfMonoidalFunctorToEndofunctorMopIso_inv_app_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMopMonoidal_δ_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMopMonoidal_ε_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMopMonoidal_η_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMopMonoidal_μ_unmop_app · cited by 0MonoidalLeftAction.currie…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategory.MonoidalLeftAction · cited by 215MonoidalCategory.Monoidal…CategoryTheory.MonoidalOpposite · cited by 179CategoryTheory.MonoidalOp…CategoryTheory.mopFunctor · cited by 24CategoryTheory.mopFunctorCategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedAction · cited by 9MonoidalLeftAction.currie…MonoidalLeftAction.curriedAct…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.