Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.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.MonoidalRightAction C D] {d d' : D} (f : d ⟶ d') (c : C),
  CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHom f (CategoryTheory.CategoryStruct.id c) =
    CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft f c

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

2 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory.MonoidalRightAction