Theorems · Definition · category theory

PresheafOfModules.fromFreeYonedaCoproduct

{C : Type u} →
  [inst : CategoryTheory.SmallCategory C] →
    {R : CategoryTheory.Functor Cᵒᵖ RingCat} → (M : PresheafOfModules R) → M.freeYonedaCoproduct ⟶ M

Given a presheaf of modules M, this is the canonical morphism M.freeYonedaCoproduct ⟶ M.

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator

Cited by

7 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.SmallCategory