Theorems · Theorem · category theory
CategoryTheory.preadditiveYonedaObj_map
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] (Y : C) {X Y_1 : Cᵒᵖ}
(f : X ⟶ Y_1),
(CategoryTheory.preadditiveYonedaObj Y).map f =
ModuleCat.ofHom { toFun := fun g => CategoryTheory.CategoryStruct.comp f.unop g, map_add' := ⋯, map_smul' := ⋯ }- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
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Cites14
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
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- Opposite.unopstatement · cited by 2,231
- ModuleCatstatement · cited by 1,429
- Quiver.Hom.unopstatement · cited by 903
- ModuleCat.ofstatement · cited by 594
- ModuleCat.ofHomstatement · cited by 200
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