Theorems · Theorem · category theory

CategoryTheory.preadditiveYoneda_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] (Y : C),
  CategoryTheory.preadditiveYoneda.obj Y =
    (CategoryTheory.preadditiveYonedaObj Y).comp
      (CategoryTheory.forget₂ (ModuleCat (CategoryTheory.End Y)) AddCommGrpCat)

Defined in: Mathlib.CategoryTheory.Preadditive.Yoneda.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
RingHom.idstatement · cited by 18,349
CategoryTheory.Functorstatement · cited by 16,252
LinearMapstatement · cited by 10,215
Oppositestatement · cited by 8,081
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Preadditivestatement and proof · cited by 3,309
AddMonoidHomstatement · cited by 3,230
ModuleCatstatement · cited by 1,429
ModuleCat.carrierstatement · cited by 997
AddCommGrpCatstatement · cited by 462

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.isCoseparator_iff_faithful_preadditiveYonedaObjproof · cited by 0