Theorems · Definition · category theory
CategoryTheory.uliftYoneda
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → CategoryTheory.Functor C (CategoryTheory.Functor Cᵒᵖ (Type (max w v₁)))Variant of the Yoneda embedding which allows a raise in the universe level for the category of types.
- Defined in
- Mathlib.CategoryTheory.Yoneda
- Cited by
- 84 results in Mathlib
- Foundations
- Depth 27 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.
Cites8
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.yonedaproof · cited by 351
- CategoryTheory.Functor.whiskeringRightproof · cited by 221
- CategoryTheory.uliftFunctorproof · cited by 58
Cited by122
Results whose statement or proof uses this declaration.
- SSet.stdSimplexproof · cited by 499
- CategoryTheory.uliftYonedaEquivstatement and proof · cited by 34
- CategoryTheory.uliftCoyonedaproof · cited by 22
- CategoryTheory.Presheaf.restrictedULiftYonedaproof · cited by 15
- CategoryTheory.CategoryOfElements.costructuredArrowULiftYonedaEquivalencestatement and proof · cited by 7
- CategoryTheory.Presheaf.functorToRepresentablesproof · cited by 7
- CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLan.presheafHomstatement and proof · cited by 5
- CategoryTheory.Presheaf.uliftYonedaAdjunctionstatement and proof · cited by 5
- CategoryTheory.Presheaf.restrictedULiftYonedaHomEquiv'statement and proof · cited by 4
- CategoryTheory.GrothendieckTopology.uliftYonedaCompSheafToPresheafstatement · cited by 4
- CategoryTheory.Functor.FullyFaithful.compUliftYonedaCompWhiskeringLeftstatement · cited by 4
- CategoryTheory.Presheaf.compULiftYonedaIsoULiftYonedaCompLanstatement and proof · cited by 4