Theorems · Theorem · category theory
CommGrpCat.coyonedaType_map_app
∀ {X Y : Type uᵒᵖ} (f : X ⟶ Y) (G : CommGrpCat),
(CommGrpCat.coyonedaType.map f).app G =
CommGrpCat.ofHom
(MonoidHom.pi fun i => Pi.evalMonoidHom (fun a => ↑G) ((CategoryTheory.ConcreteCategory.hom f.unop) i))- Defined in
- Mathlib.Algebra.Category.Grp.Yoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Opposite.unopstatement · cited by 2,231
- TypeCat.Funstatement · cited by 1,307
- Quiver.Hom.unopstatement · cited by 903
- MonoidHom.compstatement · cited by 469
- CommGrpCatstatement and proof · cited by 74
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