Theorems · Definition · category theory
CategoryTheory.Functor.corepresentableByUliftFunctorEquiv
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{F : CategoryTheory.Functor C (Type v)} →
{X : C} → (F.comp CategoryTheory.uliftFunctor.{w, v}).CorepresentableBy X ≃ F.CorepresentableBy XCorepresenting F composed with universe lifting is the same as corepresenting F.
- Defined in
- Mathlib.CategoryTheory.Yoneda
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 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.
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- Equiv.symmproof · cited by 3,681
- Equiv.transproof · cited by 337
- Equiv.uliftproof · cited by 115
- CategoryTheory.uliftFunctorstatement and proof · cited by 58
- CategoryTheory.Functor.CorepresentableBy.homEquivproof · cited by 45
- CategoryTheory.Functor.CorepresentableBystatement and proof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.isCorepresentable_comp_uliftFunctor_iffproof · cited by 0
- CategoryTheory.Functor.corepresentableByUliftFunctorEquiv_apply_homEquivstatement and proof · cited by 0
- CategoryTheory.Functor.corepresentableByUliftFunctorEquiv_symm_apply_homEquivstatement and proof · cited by 0