Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalLeftAction.actionHom_def

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

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

4 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.MonoidalCategory.MonoidalLeftAction