Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.MonoidalRightAction.actionUnitIso_hom_naturality_assoc

∀ {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.MonoidalRightAction C D] {d d' : D} (f : d ⟶ d') {Z : D} (h : d' ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionUnitIso d).hom
      (CategoryTheory.CategoryStruct.comp f h) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionHomLeft f
        (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionUnitIso d').hom h)

Defined in

Mathlib.CategoryTheory.Monoidal.Action.Basic

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.MonoidalCategory.MonoidalRightAction