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 → DThe right action on objects. This is denoted d ⊙ᵣ c.
- Cited by
- 146 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.MonoidalCategoryStructstatement and proof · cited by 26
- CategoryTheory.MonoidalCategory.MonoidalRightActionStructstatement and proof · cited by 0
Cited by175
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeftstatement · cited by 61
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomRightstatement · cited by 49
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionAssocIsostatement · cited by 44
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionUnitIsostatement · cited by 32
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomstatement · cited by 29
- CategoryTheory.Functor.LaxRightLinear.μᵣstatement · cited by 18
- CategoryTheory.Functor.OplaxRightLinear.δᵣstatement · cited by 18
- CategoryTheory.MonoidalCategory.MonoidalRightAction.curriedActionproof · cited by 11
- CategoryTheory.MonoidalCategory.MonoidalRightAction.id_actionHomLeftstatement · cited by 7
- CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHomRight_idstatement · cited by 6
- CategoryTheory.MonoidalCategory.MonoidalRightAction.actionHomRight_compstatement · cited by 5
- CategoryTheory.MonoidalCategory.MonoidalRightAction.comp_actionHomLeftstatement · cited by 5