Theorems · Theorem · category theory
CommGrpCat.coyonedaForget_inv_app_app_hom_apply
∀ (X : CommGrpCatᵒᵖ) (X_1 : CommGrpCat) (f : Opposite.unop X ⟶ X_1), (CategoryTheory.ConcreteCategory.hom ((CommGrpCat.coyonedaForget.inv.app X).app X_1)) f = CommGrpCat.Hom.hom f
- Defined in
- Mathlib.Algebra.Category.Grp.Yoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- MonoidHomstatement · cited by 3,629
- Opposite.unopstatement and proof · cited by 2,231
- TypeCat.Funstatement · cited by 1,307
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