Theorems · Theorem · category theory

CategoryTheory.Functor.mapAddMonCompIso_hom_app_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory D] {E : Type u₃}
  [inst_4 : CategoryTheory.Category.{v₃, u₃} E] [inst_5 : CategoryTheory.MonoidalCategory E]
  {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D E} [inst_6 : F.LaxMonoidal] [inst_7 : G.LaxMonoidal]
  (X : CategoryTheory.AddMon C),
  (CategoryTheory.Functor.mapAddMonCompIso.hom.app X).hom = CategoryTheory.CategoryStruct.id (G.obj (F.obj X.X))

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.LaxMonoidalCategoryTheory.Functor.LaxMonoidal