Theorems · Theorem · category theory

PresheafOfModules.Elements.fromFreeYoneda_app_apply

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  {M : PresheafOfModules R} (m : M.Elements),
  (CategoryTheory.ConcreteCategory.hom (m.fromFreeYoneda.app m.fst))
      (ModuleCat.freeMk (CategoryTheory.CategoryStruct.id (Opposite.unop m.fst))) =
    m.snd

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category