Theorems · Definition · category theory
CategoryTheory.uliftFunctor
CategoryTheory.Functor (Type u) (Type (max u v))
The functor embedding Type u into Type (max u v).
Write this as uliftFunctor.{5, 2} to get Type 2 ⥤ Type 5.
- Defined in
- Mathlib.CategoryTheory.Types.Basic
- Cited by
- 58 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TypeCat.ofHomproof · cited by 389
Cited by108
Results whose statement or proof uses this declaration.
- CategoryTheory.uliftYonedaproof · cited by 84
- CategoryTheory.GrothendieckTopology.uliftYonedaproof · cited by 23
- CategoryTheory.Functor.IsRepresentedBy.representableByproof · cited by 6
- CategoryTheory.Sieve.uliftFunctorproof · cited by 5
- nonempty_sections_of_finite_cofiltered_systemproof · cited by 4
- CategoryTheory.Functor.op_comp_isSheaf_of_typesproof · cited by 4
- CategoryTheory.Functor.representableByUliftFunctorEquivstatement and proof · cited by 4
- CategoryTheory.GrothendieckTopology.uliftYonedaOpCompCoyonedastatement and proof · cited by 4
- CategoryTheory.Sieve.uliftFunctorInclusionproof · cited by 3
- CategoryTheory.Functor.corepresentableByUliftFunctorEquivstatement and proof · cited by 3
- CategoryTheory.Profunctor.uliftproof · cited by 3
- CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_uliftYoneda_mapproof · cited by 3