Theorems · Theorem · category theory
CategoryTheory.shrinkCoyonedaIsoCoyoneda_hom_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : Cᵒᵖ),
CategoryTheory.shrinkCoyonedaIsoCoyoneda.hom.app X =
(CategoryTheory.NatIso.ofComponents (fun Y => CategoryTheory.shrinkCoyonedaObjObjEquiv.toIso) ⋯).hom- Defined in
- Mathlib.CategoryTheory.ShrinkYoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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 · 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.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.coyonedastatement · cited by 208
- CategoryTheory.NatIso.ofComponentsstatement · cited by 178
- CategoryTheory.shrinkYonedastatement · cited by 64
- Equiv.toIsostatement · cited by 58
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.