Theorems · Definition · category theory

CategoryTheory.IsGrothendieckAbelian.GabrielPopescuAux.d

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : CategoryTheory.IsGrothendieckAbelian.{v, v, u} C] →
        {G A : C} →
          {M : ModuleCat (CategoryTheory.End G)ᵐᵒᵖ} →
            (M ⟶ ModuleCat.of (CategoryTheory.End G)ᵐᵒᵖ (G ⟶ A)) → ((∐ fun x => G) ⟶ A)

This is the map ⨁ₘ G ⟶ A induced by M ⟶ Hom(G, A).

Defined in

Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.GabrielPopescu

Cited by

6 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.IsGrothendieckAbelian