Theorems · Definition · category theory

CategoryTheory.AddMod.Hom.casesOn

{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.MonoidalLeftAction C D] →
            {A : C} →
              [inst_4 : CategoryTheory.AddMonObj A] →
                {M N : CategoryTheory.AddMod D A} →
                  {motive : M.Hom N → Sort u} →
                    (t : M.Hom N) →
                      ((hom : M.X ⟶ N.X) →
                          [isAddModHom : CategoryTheory.IsAddModHom A hom] →
                            motive { hom := hom, isAddModHom := isAddModHom }) →
                        motive t

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

0 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.AddMonObj