Theorems · Inductive type · category theory

CategoryTheory.IsAddModHom

{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] →
            {M' N' : D} →
              (A : C) →
                [inst_4 : CategoryTheory.AddMonObj A] →
                  [CategoryTheory.AddModObj A M'] → [CategoryTheory.AddModObj A N'] → (M' ⟶ N') → Prop

A morphism in D is a morphism of A-additive module objects if it commutes with the action maps

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

10 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.AddMonObjCategoryTheory.AddModObjCategoryTheory.AddModObj