Theorems · Inductive type · category theory
CategoryTheory.Functor.CorepresentableBy
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → CategoryTheory.Functor C (Type v) → C → Type (max (max u₁ v) v₁)The data which expresses that a functor F : C ⥤ Type v is corepresentable by X : C.
- Defined in
- Mathlib.CategoryTheory.Yoneda
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by69
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.CorepresentableBy.homEquivstatement and proof · cited by 45
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBystatement · cited by 10
- CategoryTheory.Functor.corepresentableBystatement · cited by 6
- CategoryTheory.Functor.CorepresentableBy.isCorepresentablestatement and proof · cited by 6
- CategoryTheory.Functor.CorepresentableBy.homEquiv_compstatement and proof · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy₂'statement · cited by 5
- CategoryTheory.Functor.CorepresentableBy.ofIsostatement and proof · cited by 4
- CategoryTheory.Limits.IsColimit.OfNatIso.coconeOfHomstatement and proof · cited by 4
- CategoryTheory.Functor.corepresentableByUliftFunctorEquivstatement and proof · cited by 3
- CategoryTheory.Functor.CorepresentableBy.homEquiv_eqstatement and proof · cited by 3
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy₂statement · cited by 3
- CategoryTheory.Functor.CorepresentableBy.ofIsoObjstatement and proof · cited by 3