Theorems · Definition · category theory

AddCommMonCat.coyonedaForget

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

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

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

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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
AddMonoidHomstatement and proof · cited by 3,230
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.

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