Theorems · Theorem · category theory

CategoryTheory.IsAddMonHom.add_hom

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C} {M' N' : C}
  {inst_2 : CategoryTheory.AddMonObj M'} {inst_3 : CategoryTheory.AddMonObj N'} (f : M' ⟶ N')
  [self : CategoryTheory.IsAddMonHom f],
  CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.add f =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.tensorHom f f)
      CategoryTheory.AddMonObj.add

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

4 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.IsAddMonHom