Theorems · Theorem · category theory
CategoryTheory.yonedaGrp_map_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{G H : CategoryTheory.Grp C} (ψ : G ⟶ H) (Y : Cᵒᵖ),
(CategoryTheory.yonedaGrp.map ψ).app Y = GrpCat.ofHom (MonCat.Hom.hom ((CategoryTheory.yonedaMon.map ψ.hom).app Y))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- 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
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.Monstatement · cited by 465
- GrpCatstatement · cited by 146
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