Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.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.MonoidalLeftActionStruct C D] → C → D → D

The left action on objects. This is denoted c ⊙ₗ d.

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

185 results in Mathlib

Foundations

Depth 3 from the axioms, rests on 4 definitions · uses no axioms

Assumes

CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct