Theorems · Theorem · category theory

PresheafOfModules.freeYonedaEquiv_symm_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  (M : PresheafOfModules R) (X : C) (x : ↑(M.obj (Opposite.op X))),
  (CategoryTheory.ConcreteCategory.hom ((PresheafOfModules.freeYonedaEquiv.symm x).app (Opposite.op X)))
      (ModuleCat.freeMk (CategoryTheory.CategoryStruct.id (Opposite.unop (Opposite.op X)))) =
    x

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category