Theorems · Definition · category theory
CategoryTheory.denseAtYoneda
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(X : CategoryTheory.Functor Cᵒᵖ (Type v₁)) → CategoryTheory.yoneda.DenseAt Xyoneda is dense: Every X : Cᵒᵖ ⥤ Type v₁ is the colimit over
CostructuredArrow.proj yoneda X ⋙ yoneda.
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- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites6
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 and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.yonedastatement · cited by 351
- CategoryTheory.Functor.DenseAtstatement · cited by 5
- CategoryTheory.Presheaf.isColimitTautologicalCoconeproof · cited by 2
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