Theorems · Theorem · category theory
CategoryTheory.GrothendieckTopology.yonedaEquiv_yoneda_map
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
[inst_1 : J.Subcanonical] {X Y : C} (f : X ⟶ Y), J.yonedaEquiv (J.yoneda.map f) = f- Cited by
- 4 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.map_yonedaEquiv'proof · cited by 1
- CategoryTheory.GrothendieckTopology.yonedaEquiv_symm_naturality_leftproof · cited by 0
- CategoryTheory.GrothendieckTopology.map_yonedaEquivproof · cited by 0