Theorems · Definition · category theory

PresheafOfModules.freeYonedaCoproductMk

{C : Type u} →
  [inst : CategoryTheory.SmallCategory C] →
    {R : CategoryTheory.Functor Cᵒᵖ RingCat} →
      (M : PresheafOfModules R) → (m : M.Elements) → ↑(M.freeYonedaCoproduct.obj m.fst)

Given an element m of a presheaf of modules M, this is the associated canonical section of the presheaf M.freeYonedaCoproduct over the object m.1.

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.SmallCategory