Mathlib Map

Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObj

{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.MonoidalCategoryStruct C} →
          [self : CategoryTheory.MonoidalCategory.MonoidalRightActionStruct C D] → D → C → D

The right action on objects. This is denoted d ⊙ᵣ c.

Defined in
Mathlib.CategoryTheory.Monoidal.Action.Basic
Cited by
146 results in Mathlib
Foundations
Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Assumes
CategoryTheory.MonoidalCategory.MonoidalRightActionStruct

Around this declaration

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

CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft · cited by 61MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomRight · cited by 49MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionAssocIso · cited by 44MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionUnitIso · cited by 32MonoidalRightActionStruct…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHom · cited by 29MonoidalRightActionStruct…CategoryTheory.Functor.LaxRightLinear.μᵣ · cited by 18LaxRightLinear.μᵣCategoryTheory.Functor.OplaxRightLinear.δᵣ · cited by 18OplaxRightLinear.δᵣCategoryTheory.MonoidalCategory.MonoidalRightAction.curriedAction · cited by 11MonoidalRightAction.curri…CategoryTheory.MonoidalCategory.MonoidalRightAction.id_actionHomLeft · cited by 7MonoidalRightAction.id_ac…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHomRight_id · cited by 6MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHomRight_comp · cited by 5MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.comp_actionHomLeft · cited by 5MonoidalRightAction.comp_…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHom_def · cited by 4MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionAssocIso_hom_naturality · cited by 3MonoidalRightAction.actio…CategoryTheory.MonoidalCategory.MonoidalRightAction.actionUnitIso_hom_naturality · cited by 3MonoidalRightAction.actio…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategoryStruct · cited by 26CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategory.MonoidalRightActionStruct · cited by 0MonoidalCategory.Monoidal…MonoidalRightActionStruct.act…CITED BYCITES

Cites3

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Cited by175

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