Theorems · Definition · category theory

CommGrpCat.coyonedaForget

CommGrpCat.coyoneda.comp
    ((CategoryTheory.Functor.whiskeringRight CommGrpCat CommGrpCat (Type u_1)).obj (CategoryTheory.forget CommGrpCat)) ≅
  CategoryTheory.coyoneda

The CommGrpCat-valued coyoneda embedding composed with the forgetful functor is the usual coyoneda embedding.

Defined in: Mathlib.Algebra.Category.Grp.Yoneda
Cited by: 2 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites18

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

Quiver.Homproof · 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.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
MonoidHomstatement and proof · cited by 3,629
Opposite.unopproof · cited by 2,231
CategoryTheory.forgetstatement · cited by 418
TypeCat.ofHomproof · cited by 389
CategoryTheory.Functor.whiskeringRightstatement · cited by 221
CategoryTheory.coyonedastatement · cited by 208

Cited by2

Results whose statement or proof uses this declaration.

CommGrpCat.coyonedaForget_hom_app_app_hom_apply_homstatement and proof · cited by 0
CommGrpCat.coyonedaForget_inv_app_app_hom_applystatement and proof · cited by 0