Theorems · Definition · category theory
CategoryTheory.GrothendieckTopology.uliftYoneda
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(J : CategoryTheory.GrothendieckTopology C) →
[J.Subcanonical] → CategoryTheory.Functor C (CategoryTheory.Sheaf J (Type (max v w)))Variant of the Yoneda embedding which allows a raise in the universe level for the category of types.
- Defined in
- Mathlib.CategoryTheory.Sites.Canonical
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement · cited by 763
- CategoryTheory.uliftFunctorproof · cited by 58
- CategoryTheory.GrothendieckTopology.Subcanonicalstatement and proof · cited by 55
- CategoryTheory.GrothendieckTopology.yonedaproof · cited by 37
- CategoryTheory.sheafComposeproof · cited by 28
Cited by28
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.uliftYonedaEquivstatement · cited by 14
- CategoryTheory.GrothendieckTopology.uliftYonedaCompSheafToPresheafstatement and proof · cited by 4
- CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyonedastatement · cited by 4
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_uliftYoneda_mapstatement and proof · cited by 3
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_compstatement and proof · cited by 2
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_naturalitystatement and proof · cited by 2
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_naturality'statement and proof · cited by 2
- CategoryTheory.GrothendieckTopology.uliftYonedaIsoYonedastatement · cited by 2
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_applystatement and proof · cited by 1
- CategoryTheory.GrothendieckTopology.map_uliftYonedaEquivstatement and proof · cited by 0
- CategoryTheory.GrothendieckTopology.map_uliftYonedaEquiv'statement and proof · cited by 0
- CategoryTheory.GrothendieckTopology.uliftYonedaCompSheafToPresheaf_hom_app_app_hom_applystatement and proof · cited by 0