Theorems · Definition · category theory

PresheafOfModules.Elements.fromFreeYoneda

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {R : CategoryTheory.Functor Cᵒᵖ RingCat} → {M : PresheafOfModules R} → (m : M.Elements) → m.freeYoneda ⟶ M

Given an element m : M.Elements of a presheaf of modules M, this is the canonical morphism m.freeYoneda ⟶ M.

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator

Cited by

4 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category