Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalLeftAction.actionHom_id

∀ {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]
  [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D] {c c' : C} (f : c ⟶ c') (d : D),
  CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHom f (CategoryTheory.CategoryStruct.id d) =
    CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeft f d

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

1 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory.MonoidalLeftAction