Theorems · Definition · category theory

CategoryTheory.AddModObj.vadd

{C : Type u₁} →
  {inst : CategoryTheory.Category.{v₁, u₁} C} →
    {inst_1 : CategoryTheory.MonoidalCategory C} →
      {D : Type u₂} →
        {inst_2 : CategoryTheory.Category.{v₂, u₂} D} →
          {inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D} →
            {M : C} →
              {inst_4 : CategoryTheory.AddMonObj M} →
                {X : D} →
                  [self : CategoryTheory.AddModObj M X] →
                    CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObj M X ⟶ X

The action map

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

26 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.AddModObj