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CommRingCat.coyoneda_map_app

∀ {m n : Type vᵒᵖ} (f : m ⟶ n) (R : CommRingCat),
  (CommRingCat.coyoneda.map f).app R =
    CommRingCat.ofHom
      (RingHom.pi fun x => Pi.evalRingHom (fun a => ↑R) ((CategoryTheory.ConcreteCategory.hom f.unop) x))
Defined in
Mathlib.Algebra.Category.Ring.Adjunctions
Cited by
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Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCommRingCat · cited by 2333CommRingCatOpposite.unop · cited by 2231Opposite.unopTypeCat.Fun · cited by 1307TypeCat.FunCommRingCat.carrier · cited by 1096CommRingCat.carrierQuiver.Hom.unop · cited by 903Hom.unopRingHom.comp · cited by 899RingHom.compCommRingCat.Hom.hom · cited by 432Hom.homCommRingCat.ofHom · cited by 259CommRingCat.ofHomCommRingCat.coyoneda_map_appCITED BYCITES

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