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Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction

(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] →
          [CategoryTheory.MonoidalCategory.MonoidalRightAction C D] →
            CategoryTheory.Functor C (CategoryTheory.Functor D D)

Bundle the action of C on D as a functor C ⥤ D ⥤ D.

Defined in
Mathlib.CategoryTheory.Monoidal.Action.Basic
Cited by
11 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory.MonoidalRightAction

Around this declaration

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

CategoryTheory.MonoidalCategory.MonoidalRightAction.actionRight · cited by 4MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionActionOfMonoidalFunctorToEndofunctorIso · cited by 2MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionAssocNatIso · cited by 2MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionActionOfMonoidalFunctorToEndofunctorIso_hom_app_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionActionOfMonoidalFunctorToEndofunctorIso_inv_app_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionMonoidal_δ_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionMonoidal_ε_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionMonoidal_η_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionMonoidal_μ_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionAssocNatIso_hom_app_app_app · cited by 0MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionAssocNatIso_inv_app_app_app · cited by 0MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction_map_app · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction_obj_map · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction_obj_obj · cited by 0MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionLeft · cited by 0MonoidalRightAction.actio…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObj · cited by 146MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightAction · cited by 140MonoidalCategory.Monoidal…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft · cited by 61MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomRight · cited by 49MonoidalRightActionStruct…MonoidalRightAction.curriedAc…CITED BYCITES

Cites8

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Cited by15

Results whose statement or proof uses this declaration.